6.83/1.94 YES 7.10/2.01 7.10/2.01 7.10/2.01 The system was filtered by the following matrix interpretation 7.10/2.01 of type E_J with J = {1,...,2} and dimension 6: 7.10/2.01 7.10/2.01 0 is interpreted by 7.10/2.01 / \ 7.10/2.01 | 1 0 1 0 0 0 | 7.10/2.01 | 0 1 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 | 7.10/2.01 \ / 7.10/2.01 2 is interpreted by 7.10/2.01 / \ 7.10/2.01 | 1 0 0 0 0 0 | 7.10/2.01 | 0 1 0 0 0 0 | 7.10/2.01 | 0 0 0 1 0 0 | 7.10/2.01 | 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 | 7.10/2.01 \ / 7.10/2.01 1 is interpreted by 7.10/2.01 / \ 7.10/2.01 | 1 0 0 0 0 0 | 7.10/2.01 | 0 1 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 1 | 7.10/2.01 | 0 0 0 0 0 1 | 7.10/2.01 \ / 7.10/2.01 4 is interpreted by 7.10/2.01 / \ 7.10/2.01 | 1 0 0 0 0 0 | 7.10/2.01 | 0 1 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 | 7.10/2.01 \ / 7.10/2.01 5 is interpreted by 7.10/2.01 / \ 7.10/2.01 | 1 0 0 0 0 0 | 7.10/2.01 | 0 1 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 | 7.10/2.01 \ / 7.10/2.01 3 is interpreted by 7.10/2.01 / \ 7.10/2.01 | 1 0 0 0 0 0 | 7.10/2.01 | 0 1 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 1 0 | 7.10/2.01 | 0 0 0 0 0 0 | 7.10/2.01 | 0 1 0 0 0 0 | 7.10/2.01 \ / 7.10/2.01 7.10/2.01 Remains to prove termination of the 22-rule system 7.10/2.01 { 0 2 1 -> 0 4 0 1 4 5 1 5 0 1 , 7.10/2.01 1 1 3 -> 1 2 1 2 2 2 5 1 4 2 , 7.10/2.01 0 0 0 3 -> 4 2 4 0 2 5 3 3 4 5 , 7.10/2.01 1 0 2 3 -> 1 1 2 5 4 1 2 4 3 2 , 7.10/2.01 1 3 5 3 -> 3 5 4 5 2 4 3 2 5 4 , 7.10/2.01 0 3 4 5 3 -> 2 0 2 5 1 2 4 4 5 5 , 7.10/2.01 0 5 2 1 3 -> 2 4 2 5 2 4 3 0 2 4 , 7.10/2.01 2 1 3 1 0 -> 0 1 4 5 1 5 5 2 3 0 , 7.10/2.01 0 5 2 2 2 0 -> 2 5 4 3 0 2 5 1 2 1 , 7.10/2.01 2 0 0 5 2 0 -> 4 0 4 2 1 4 4 4 0 1 , 7.10/2.01 2 0 5 3 0 2 -> 2 5 3 5 1 4 5 0 0 2 , 7.10/2.01 2 1 0 2 1 5 -> 2 5 4 1 3 2 2 5 4 5 , 7.10/2.01 5 1 5 1 0 2 -> 4 5 0 0 4 3 1 1 0 4 , 7.10/2.01 0 5 2 2 2 1 0 -> 0 3 2 3 1 4 1 0 1 0 , 7.10/2.01 0 5 3 5 3 1 5 -> 0 1 3 4 0 1 4 5 1 5 , 7.10/2.01 1 1 5 1 4 4 3 -> 1 0 3 4 4 1 0 2 5 5 , 7.10/2.01 1 3 2 3 0 5 3 -> 1 4 0 1 5 4 0 3 2 5 , 7.10/2.01 1 5 2 4 2 1 1 -> 4 4 1 4 1 4 3 1 0 3 , 7.10/2.01 2 0 2 0 2 1 0 -> 2 0 2 3 4 2 4 4 4 0 , 7.10/2.01 2 4 5 5 1 3 5 -> 2 1 2 1 4 4 4 3 4 4 , 7.10/2.01 3 0 0 5 5 2 1 -> 0 2 4 3 2 3 2 1 0 3 , 7.10/2.01 3 1 5 2 3 0 5 -> 5 3 4 0 4 5 2 0 0 4 } 7.10/2.01 7.10/2.01 7.10/2.01 The system was filtered by the following matrix interpretation 7.10/2.01 of type E_J with J = {1,...,2} and dimension 6: 7.10/2.01 7.10/2.01 0 is interpreted by 7.10/2.01 / \ 7.10/2.01 | 1 0 1 0 0 0 | 7.10/2.01 | 0 1 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 | 7.10/2.01 \ / 7.10/2.01 2 is interpreted by 7.10/2.01 / \ 7.10/2.01 | 1 0 0 0 0 0 | 7.10/2.01 | 0 1 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 1 0 | 7.10/2.01 | 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 | 7.10/2.01 \ / 7.10/2.01 1 is interpreted by 7.10/2.01 / \ 7.10/2.01 | 1 0 0 0 0 0 | 7.10/2.01 | 0 1 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 1 | 7.10/2.01 | 0 0 0 0 0 1 | 7.10/2.01 \ / 7.10/2.01 4 is interpreted by 7.10/2.01 / \ 7.10/2.01 | 1 0 0 0 0 0 | 7.10/2.01 | 0 1 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 | 7.10/2.01 \ / 7.10/2.01 5 is interpreted by 7.10/2.01 / \ 7.10/2.01 | 1 0 0 0 0 0 | 7.10/2.01 | 0 1 0 0 0 0 | 7.10/2.01 | 0 0 0 1 0 0 | 7.10/2.01 | 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 | 7.10/2.01 \ / 7.10/2.01 3 is interpreted by 7.10/2.01 / \ 7.10/2.01 | 1 0 0 0 0 0 | 7.10/2.01 | 0 1 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 | 7.10/2.01 | 0 1 0 0 0 0 | 7.10/2.01 \ / 7.10/2.01 7.10/2.01 Remains to prove termination of the 21-rule system 7.10/2.01 { 0 2 1 -> 0 4 0 1 4 5 1 5 0 1 , 7.10/2.01 1 1 3 -> 1 2 1 2 2 2 5 1 4 2 , 7.10/2.01 0 0 0 3 -> 4 2 4 0 2 5 3 3 4 5 , 7.10/2.01 1 0 2 3 -> 1 1 2 5 4 1 2 4 3 2 , 7.10/2.01 1 3 5 3 -> 3 5 4 5 2 4 3 2 5 4 , 7.10/2.01 0 3 4 5 3 -> 2 0 2 5 1 2 4 4 5 5 , 7.10/2.01 2 1 3 1 0 -> 0 1 4 5 1 5 5 2 3 0 , 7.10/2.01 0 5 2 2 2 0 -> 2 5 4 3 0 2 5 1 2 1 , 7.10/2.01 2 0 0 5 2 0 -> 4 0 4 2 1 4 4 4 0 1 , 7.10/2.01 2 0 5 3 0 2 -> 2 5 3 5 1 4 5 0 0 2 , 7.10/2.01 2 1 0 2 1 5 -> 2 5 4 1 3 2 2 5 4 5 , 7.10/2.01 5 1 5 1 0 2 -> 4 5 0 0 4 3 1 1 0 4 , 7.10/2.01 0 5 2 2 2 1 0 -> 0 3 2 3 1 4 1 0 1 0 , 7.10/2.01 0 5 3 5 3 1 5 -> 0 1 3 4 0 1 4 5 1 5 , 7.10/2.01 1 1 5 1 4 4 3 -> 1 0 3 4 4 1 0 2 5 5 , 7.10/2.01 1 3 2 3 0 5 3 -> 1 4 0 1 5 4 0 3 2 5 , 7.10/2.01 1 5 2 4 2 1 1 -> 4 4 1 4 1 4 3 1 0 3 , 7.10/2.01 2 0 2 0 2 1 0 -> 2 0 2 3 4 2 4 4 4 0 , 7.10/2.01 2 4 5 5 1 3 5 -> 2 1 2 1 4 4 4 3 4 4 , 7.10/2.01 3 0 0 5 5 2 1 -> 0 2 4 3 2 3 2 1 0 3 , 7.10/2.01 3 1 5 2 3 0 5 -> 5 3 4 0 4 5 2 0 0 4 } 7.10/2.01 7.10/2.01 7.10/2.01 The system was filtered by the following matrix interpretation 7.10/2.01 of type E_J with J = {1,...,2} and dimension 8: 7.10/2.01 7.10/2.01 0 is interpreted by 7.10/2.01 / \ 7.10/2.01 | 1 0 1 0 0 0 0 0 | 7.10/2.01 | 0 1 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 \ / 7.10/2.01 2 is interpreted by 7.10/2.01 / \ 7.10/2.01 | 1 0 0 0 0 0 0 0 | 7.10/2.01 | 0 1 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 \ / 7.10/2.01 1 is interpreted by 7.10/2.01 / \ 7.10/2.01 | 1 0 0 0 0 0 0 0 | 7.10/2.01 | 0 1 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 1 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 \ / 7.10/2.01 4 is interpreted by 7.10/2.01 / \ 7.10/2.01 | 1 0 0 0 0 0 0 0 | 7.10/2.01 | 0 1 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 \ / 7.10/2.01 5 is interpreted by 7.10/2.01 / \ 7.10/2.01 | 1 0 0 0 0 0 0 0 | 7.10/2.01 | 0 1 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 1 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 1 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 1 0 0 0 0 0 0 | 7.10/2.01 \ / 7.10/2.01 3 is interpreted by 7.10/2.01 / \ 7.10/2.01 | 1 0 0 0 0 0 0 0 | 7.10/2.01 | 0 1 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 1 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 1 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 1 0 | 7.10/2.01 \ / 7.10/2.01 7.10/2.01 Remains to prove termination of the 20-rule system 7.10/2.01 { 0 2 1 -> 0 4 0 1 4 5 1 5 0 1 , 7.10/2.01 1 1 3 -> 1 2 1 2 2 2 5 1 4 2 , 7.10/2.01 0 0 0 3 -> 4 2 4 0 2 5 3 3 4 5 , 7.10/2.01 1 0 2 3 -> 1 1 2 5 4 1 2 4 3 2 , 7.10/2.01 1 3 5 3 -> 3 5 4 5 2 4 3 2 5 4 , 7.10/2.01 0 3 4 5 3 -> 2 0 2 5 1 2 4 4 5 5 , 7.10/2.01 2 1 3 1 0 -> 0 1 4 5 1 5 5 2 3 0 , 7.10/2.01 0 5 2 2 2 0 -> 2 5 4 3 0 2 5 1 2 1 , 7.10/2.01 2 0 0 5 2 0 -> 4 0 4 2 1 4 4 4 0 1 , 7.10/2.01 2 0 5 3 0 2 -> 2 5 3 5 1 4 5 0 0 2 , 7.10/2.01 2 1 0 2 1 5 -> 2 5 4 1 3 2 2 5 4 5 , 7.10/2.01 5 1 5 1 0 2 -> 4 5 0 0 4 3 1 1 0 4 , 7.10/2.01 0 5 2 2 2 1 0 -> 0 3 2 3 1 4 1 0 1 0 , 7.10/2.01 1 1 5 1 4 4 3 -> 1 0 3 4 4 1 0 2 5 5 , 7.10/2.01 1 3 2 3 0 5 3 -> 1 4 0 1 5 4 0 3 2 5 , 7.10/2.01 1 5 2 4 2 1 1 -> 4 4 1 4 1 4 3 1 0 3 , 7.10/2.01 2 0 2 0 2 1 0 -> 2 0 2 3 4 2 4 4 4 0 , 7.10/2.01 2 4 5 5 1 3 5 -> 2 1 2 1 4 4 4 3 4 4 , 7.10/2.01 3 0 0 5 5 2 1 -> 0 2 4 3 2 3 2 1 0 3 , 7.10/2.01 3 1 5 2 3 0 5 -> 5 3 4 0 4 5 2 0 0 4 } 7.10/2.01 7.10/2.01 7.10/2.01 The system was filtered by the following matrix interpretation 7.10/2.01 of type E_J with J = {1,...,2} and dimension 5: 7.10/2.01 7.10/2.01 0 is interpreted by 7.10/2.01 / \ 7.10/2.01 | 1 0 1 0 0 | 7.10/2.01 | 0 1 0 0 0 | 7.10/2.01 | 0 0 0 1 0 | 7.10/2.01 | 0 0 0 0 1 | 7.10/2.01 | 0 0 0 0 0 | 7.10/2.01 \ / 7.10/2.01 2 is interpreted by 7.10/2.01 / \ 7.10/2.01 | 1 0 0 0 0 | 7.10/2.01 | 0 1 0 0 0 | 7.10/2.01 | 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 | 7.10/2.01 \ / 7.10/2.01 1 is interpreted by 7.10/2.01 / \ 7.10/2.01 | 1 0 0 0 0 | 7.10/2.01 | 0 1 0 0 0 | 7.10/2.01 | 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 1 | 7.10/2.01 \ / 7.10/2.01 4 is interpreted by 7.10/2.01 / \ 7.10/2.01 | 1 0 0 0 0 | 7.10/2.01 | 0 1 0 0 0 | 7.10/2.01 | 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 | 7.10/2.01 \ / 7.10/2.01 5 is interpreted by 7.10/2.01 / \ 7.10/2.01 | 1 0 0 0 0 | 7.10/2.01 | 0 1 0 0 0 | 7.10/2.01 | 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 | 7.10/2.01 | 0 1 0 0 0 | 7.10/2.01 \ / 7.10/2.01 3 is interpreted by 7.10/2.01 / \ 7.10/2.01 | 1 0 0 0 0 | 7.10/2.01 | 0 1 0 0 0 | 7.10/2.01 | 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 | 7.10/2.01 | 0 1 0 0 0 | 7.10/2.01 \ / 7.10/2.01 7.10/2.01 Remains to prove termination of the 19-rule system 7.10/2.01 { 0 2 1 -> 0 4 0 1 4 5 1 5 0 1 , 7.10/2.01 1 1 3 -> 1 2 1 2 2 2 5 1 4 2 , 7.10/2.01 1 0 2 3 -> 1 1 2 5 4 1 2 4 3 2 , 7.10/2.01 1 3 5 3 -> 3 5 4 5 2 4 3 2 5 4 , 7.10/2.01 0 3 4 5 3 -> 2 0 2 5 1 2 4 4 5 5 , 7.10/2.01 2 1 3 1 0 -> 0 1 4 5 1 5 5 2 3 0 , 7.10/2.01 0 5 2 2 2 0 -> 2 5 4 3 0 2 5 1 2 1 , 7.10/2.01 2 0 0 5 2 0 -> 4 0 4 2 1 4 4 4 0 1 , 7.10/2.01 2 0 5 3 0 2 -> 2 5 3 5 1 4 5 0 0 2 , 7.10/2.01 2 1 0 2 1 5 -> 2 5 4 1 3 2 2 5 4 5 , 7.10/2.01 5 1 5 1 0 2 -> 4 5 0 0 4 3 1 1 0 4 , 7.10/2.01 0 5 2 2 2 1 0 -> 0 3 2 3 1 4 1 0 1 0 , 7.10/2.01 1 1 5 1 4 4 3 -> 1 0 3 4 4 1 0 2 5 5 , 7.10/2.01 1 3 2 3 0 5 3 -> 1 4 0 1 5 4 0 3 2 5 , 7.10/2.01 1 5 2 4 2 1 1 -> 4 4 1 4 1 4 3 1 0 3 , 7.10/2.01 2 0 2 0 2 1 0 -> 2 0 2 3 4 2 4 4 4 0 , 7.10/2.01 2 4 5 5 1 3 5 -> 2 1 2 1 4 4 4 3 4 4 , 7.10/2.01 3 0 0 5 5 2 1 -> 0 2 4 3 2 3 2 1 0 3 , 7.10/2.01 3 1 5 2 3 0 5 -> 5 3 4 0 4 5 2 0 0 4 } 7.10/2.01 7.10/2.01 7.10/2.01 The system was filtered by the following matrix interpretation 7.10/2.01 of type E_J with J = {1,...,2} and dimension 10: 7.10/2.01 7.10/2.01 0 is interpreted by 7.10/2.01 / \ 7.10/2.01 | 1 0 1 0 0 0 0 0 0 0 | 7.10/2.01 | 0 1 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 0 0 | 7.10/2.01 \ / 7.10/2.01 2 is interpreted by 7.10/2.01 / \ 7.10/2.01 | 1 0 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 1 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 1 1 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 0 0 | 7.10/2.01 \ / 7.10/2.01 1 is interpreted by 7.10/2.01 / \ 7.10/2.01 | 1 0 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 1 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 1 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 1 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 1 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 0 0 | 7.10/2.01 \ / 7.10/2.01 4 is interpreted by 7.10/2.01 / \ 7.10/2.01 | 1 0 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 1 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 1 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 0 0 | 7.10/2.01 \ / 7.10/2.01 5 is interpreted by 7.10/2.01 / \ 7.10/2.01 | 1 0 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 1 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 1 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 1 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 1 0 0 0 0 0 0 0 0 | 7.10/2.01 \ / 7.10/2.01 3 is interpreted by 7.10/2.01 / \ 7.10/2.01 | 1 0 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 1 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 0 1 | 7.10/2.01 | 0 0 0 1 0 0 0 0 0 0 | 7.10/2.01 \ / 7.10/2.01 7.10/2.01 Remains to prove termination of the 16-rule system 7.10/2.01 { 1 1 3 -> 1 2 1 2 2 2 5 1 4 2 , 7.10/2.01 1 0 2 3 -> 1 1 2 5 4 1 2 4 3 2 , 7.10/2.01 1 3 5 3 -> 3 5 4 5 2 4 3 2 5 4 , 7.10/2.01 0 3 4 5 3 -> 2 0 2 5 1 2 4 4 5 5 , 7.10/2.01 2 1 3 1 0 -> 0 1 4 5 1 5 5 2 3 0 , 7.10/2.01 0 5 2 2 2 0 -> 2 5 4 3 0 2 5 1 2 1 , 7.10/2.01 2 0 0 5 2 0 -> 4 0 4 2 1 4 4 4 0 1 , 7.10/2.01 2 0 5 3 0 2 -> 2 5 3 5 1 4 5 0 0 2 , 7.10/2.01 5 1 5 1 0 2 -> 4 5 0 0 4 3 1 1 0 4 , 7.10/2.01 0 5 2 2 2 1 0 -> 0 3 2 3 1 4 1 0 1 0 , 7.10/2.01 1 1 5 1 4 4 3 -> 1 0 3 4 4 1 0 2 5 5 , 7.10/2.01 1 3 2 3 0 5 3 -> 1 4 0 1 5 4 0 3 2 5 , 7.10/2.01 1 5 2 4 2 1 1 -> 4 4 1 4 1 4 3 1 0 3 , 7.10/2.01 2 4 5 5 1 3 5 -> 2 1 2 1 4 4 4 3 4 4 , 7.10/2.01 3 0 0 5 5 2 1 -> 0 2 4 3 2 3 2 1 0 3 , 7.10/2.01 3 1 5 2 3 0 5 -> 5 3 4 0 4 5 2 0 0 4 } 7.10/2.01 7.10/2.01 7.10/2.01 The system was filtered by the following matrix interpretation 7.10/2.01 of type E_J with J = {1,...,2} and dimension 9: 7.10/2.01 7.10/2.01 0 is interpreted by 7.10/2.01 / \ 7.10/2.01 | 1 0 0 0 1 0 0 0 0 | 7.10/2.01 | 0 1 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 1 0 0 0 0 0 0 | 7.10/2.01 \ / 7.10/2.01 2 is interpreted by 7.10/2.01 / \ 7.10/2.01 | 1 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 1 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 1 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 1 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 1 | 7.10/2.01 | 0 0 0 0 0 0 0 0 0 | 7.10/2.01 \ / 7.10/2.01 1 is interpreted by 7.10/2.01 / \ 7.10/2.01 | 1 0 1 0 0 0 0 0 0 | 7.10/2.01 | 0 1 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 1 0 0 0 0 0 | 7.10/2.01 | 0 0 0 1 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 0 | 7.10/2.01 \ / 7.10/2.01 4 is interpreted by 7.10/2.01 / \ 7.10/2.01 | 1 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 1 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 0 | 7.10/2.01 \ / 7.10/2.01 5 is interpreted by 7.10/2.01 / \ 7.10/2.01 | 1 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 1 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 1 0 1 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 0 | 7.10/2.01 \ / 7.10/2.01 3 is interpreted by 7.10/2.01 / \ 7.10/2.01 | 1 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 1 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 1 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 0 | 7.10/2.01 \ / 7.10/2.01 7.10/2.01 Remains to prove termination of the 15-rule system 7.10/2.01 { 1 0 2 3 -> 1 1 2 5 4 1 2 4 3 2 , 7.10/2.01 1 3 5 3 -> 3 5 4 5 2 4 3 2 5 4 , 7.10/2.01 0 3 4 5 3 -> 2 0 2 5 1 2 4 4 5 5 , 7.10/2.01 2 1 3 1 0 -> 0 1 4 5 1 5 5 2 3 0 , 7.10/2.01 0 5 2 2 2 0 -> 2 5 4 3 0 2 5 1 2 1 , 7.10/2.01 2 0 0 5 2 0 -> 4 0 4 2 1 4 4 4 0 1 , 7.10/2.01 2 0 5 3 0 2 -> 2 5 3 5 1 4 5 0 0 2 , 7.10/2.01 5 1 5 1 0 2 -> 4 5 0 0 4 3 1 1 0 4 , 7.10/2.01 0 5 2 2 2 1 0 -> 0 3 2 3 1 4 1 0 1 0 , 7.10/2.01 1 1 5 1 4 4 3 -> 1 0 3 4 4 1 0 2 5 5 , 7.10/2.01 1 3 2 3 0 5 3 -> 1 4 0 1 5 4 0 3 2 5 , 7.10/2.01 1 5 2 4 2 1 1 -> 4 4 1 4 1 4 3 1 0 3 , 7.10/2.01 2 4 5 5 1 3 5 -> 2 1 2 1 4 4 4 3 4 4 , 7.10/2.01 3 0 0 5 5 2 1 -> 0 2 4 3 2 3 2 1 0 3 , 7.10/2.01 3 1 5 2 3 0 5 -> 5 3 4 0 4 5 2 0 0 4 } 7.10/2.01 7.10/2.01 7.10/2.01 The system was filtered by the following matrix interpretation 7.10/2.01 of type E_J with J = {1,...,2} and dimension 5: 7.10/2.01 7.10/2.01 0 is interpreted by 7.10/2.01 / \ 7.10/2.01 | 1 0 1 0 0 | 7.10/2.01 | 0 1 0 0 0 | 7.10/2.01 | 0 0 0 1 0 | 7.10/2.01 | 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 | 7.10/2.01 \ / 7.10/2.01 2 is interpreted by 7.10/2.01 / \ 7.10/2.01 | 1 0 0 0 0 | 7.10/2.01 | 0 1 0 0 0 | 7.10/2.01 | 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 1 | 7.10/2.01 | 0 0 0 0 0 | 7.10/2.01 \ / 7.10/2.01 1 is interpreted by 7.10/2.01 / \ 7.10/2.01 | 1 0 1 0 0 | 7.10/2.01 | 0 1 0 0 0 | 7.10/2.01 | 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 1 | 7.10/2.01 \ / 7.10/2.01 4 is interpreted by 7.10/2.01 / \ 7.10/2.01 | 1 0 0 0 0 | 7.10/2.01 | 0 1 0 0 0 | 7.10/2.01 | 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 | 7.10/2.01 \ / 7.10/2.01 5 is interpreted by 7.10/2.01 / \ 7.10/2.01 | 1 0 0 0 0 | 7.10/2.01 | 0 1 0 0 0 | 7.10/2.01 | 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 | 7.10/2.01 \ / 7.10/2.01 3 is interpreted by 7.10/2.01 / \ 7.10/2.01 | 1 0 1 0 0 | 7.10/2.01 | 0 1 0 0 0 | 7.10/2.01 | 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 | 7.10/2.01 | 0 1 0 0 0 | 7.10/2.01 \ / 7.10/2.01 7.10/2.01 Remains to prove termination of the 14-rule system 7.10/2.01 { 1 3 5 3 -> 3 5 4 5 2 4 3 2 5 4 , 7.10/2.01 0 3 4 5 3 -> 2 0 2 5 1 2 4 4 5 5 , 7.10/2.01 2 1 3 1 0 -> 0 1 4 5 1 5 5 2 3 0 , 7.10/2.01 0 5 2 2 2 0 -> 2 5 4 3 0 2 5 1 2 1 , 7.10/2.01 2 0 0 5 2 0 -> 4 0 4 2 1 4 4 4 0 1 , 7.10/2.01 2 0 5 3 0 2 -> 2 5 3 5 1 4 5 0 0 2 , 7.10/2.01 5 1 5 1 0 2 -> 4 5 0 0 4 3 1 1 0 4 , 7.10/2.01 0 5 2 2 2 1 0 -> 0 3 2 3 1 4 1 0 1 0 , 7.10/2.01 1 1 5 1 4 4 3 -> 1 0 3 4 4 1 0 2 5 5 , 7.10/2.01 1 3 2 3 0 5 3 -> 1 4 0 1 5 4 0 3 2 5 , 7.10/2.01 1 5 2 4 2 1 1 -> 4 4 1 4 1 4 3 1 0 3 , 7.10/2.01 2 4 5 5 1 3 5 -> 2 1 2 1 4 4 4 3 4 4 , 7.10/2.01 3 0 0 5 5 2 1 -> 0 2 4 3 2 3 2 1 0 3 , 7.10/2.01 3 1 5 2 3 0 5 -> 5 3 4 0 4 5 2 0 0 4 } 7.10/2.01 7.10/2.01 7.10/2.01 The system was filtered by the following matrix interpretation 7.10/2.01 of type E_J with J = {1,...,2} and dimension 8: 7.10/2.01 7.10/2.01 0 is interpreted by 7.10/2.01 / \ 7.10/2.01 | 1 0 1 0 0 0 0 0 | 7.10/2.01 | 0 1 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 \ / 7.10/2.01 2 is interpreted by 7.10/2.01 / \ 7.10/2.01 | 1 0 0 0 0 0 0 0 | 7.10/2.01 | 0 1 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 1 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 1 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 \ / 7.10/2.01 1 is interpreted by 7.10/2.01 / \ 7.10/2.01 | 1 0 1 0 0 0 0 0 | 7.10/2.01 | 0 1 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 1 | 7.10/2.01 | 0 1 0 0 0 0 0 0 | 7.10/2.01 \ / 7.10/2.01 4 is interpreted by 7.10/2.01 / \ 7.10/2.01 | 1 0 0 0 0 0 0 0 | 7.10/2.01 | 0 1 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 1 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 \ / 7.10/2.01 5 is interpreted by 7.10/2.01 / \ 7.10/2.01 | 1 0 0 0 0 0 0 0 | 7.10/2.01 | 0 1 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 1 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 \ / 7.10/2.01 3 is interpreted by 7.10/2.01 / \ 7.10/2.01 | 1 0 0 0 0 0 0 0 | 7.10/2.01 | 0 1 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 \ / 7.10/2.01 7.10/2.01 Remains to prove termination of the 13-rule system 7.10/2.01 { 1 3 5 3 -> 3 5 4 5 2 4 3 2 5 4 , 7.10/2.01 0 3 4 5 3 -> 2 0 2 5 1 2 4 4 5 5 , 7.10/2.01 2 1 3 1 0 -> 0 1 4 5 1 5 5 2 3 0 , 7.10/2.01 0 5 2 2 2 0 -> 2 5 4 3 0 2 5 1 2 1 , 7.10/2.01 2 0 0 5 2 0 -> 4 0 4 2 1 4 4 4 0 1 , 7.10/2.01 2 0 5 3 0 2 -> 2 5 3 5 1 4 5 0 0 2 , 7.10/2.01 5 1 5 1 0 2 -> 4 5 0 0 4 3 1 1 0 4 , 7.10/2.01 0 5 2 2 2 1 0 -> 0 3 2 3 1 4 1 0 1 0 , 7.10/2.01 1 1 5 1 4 4 3 -> 1 0 3 4 4 1 0 2 5 5 , 7.10/2.01 1 3 2 3 0 5 3 -> 1 4 0 1 5 4 0 3 2 5 , 7.10/2.01 2 4 5 5 1 3 5 -> 2 1 2 1 4 4 4 3 4 4 , 7.10/2.01 3 0 0 5 5 2 1 -> 0 2 4 3 2 3 2 1 0 3 , 7.10/2.01 3 1 5 2 3 0 5 -> 5 3 4 0 4 5 2 0 0 4 } 7.10/2.01 7.10/2.01 7.10/2.01 The system was filtered by the following matrix interpretation 7.10/2.01 of type E_J with J = {1,...,2} and dimension 8: 7.10/2.01 7.10/2.01 0 is interpreted by 7.10/2.01 / \ 7.10/2.01 | 1 0 0 0 0 0 0 0 | 7.10/2.01 | 0 1 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 \ / 7.10/2.01 2 is interpreted by 7.10/2.01 / \ 7.10/2.01 | 1 0 1 0 0 0 0 0 | 7.10/2.01 | 0 1 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 \ / 7.10/2.01 1 is interpreted by 7.10/2.01 / \ 7.10/2.01 | 1 0 0 0 0 0 0 0 | 7.10/2.01 | 0 1 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 1 0 | 7.10/2.01 | 0 1 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 \ / 7.10/2.01 4 is interpreted by 7.10/2.01 / \ 7.10/2.01 | 1 0 0 0 0 0 0 0 | 7.10/2.01 | 0 1 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 1 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 \ / 7.10/2.01 5 is interpreted by 7.10/2.01 / \ 7.10/2.01 | 1 0 0 0 0 0 0 0 | 7.10/2.01 | 0 1 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 1 0 0 0 | 7.10/2.01 | 0 0 0 0 0 1 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 1 0 0 0 0 0 0 | 7.10/2.01 \ / 7.10/2.01 3 is interpreted by 7.10/2.01 / \ 7.10/2.01 | 1 0 0 0 0 0 0 0 | 7.10/2.01 | 0 1 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 1 | 7.10/2.01 | 0 0 0 0 0 0 1 0 | 7.10/2.01 \ / 7.10/2.01 7.10/2.01 Remains to prove termination of the 12-rule system 7.10/2.01 { 1 3 5 3 -> 3 5 4 5 2 4 3 2 5 4 , 7.10/2.01 0 3 4 5 3 -> 2 0 2 5 1 2 4 4 5 5 , 7.10/2.01 2 1 3 1 0 -> 0 1 4 5 1 5 5 2 3 0 , 7.10/2.01 0 5 2 2 2 0 -> 2 5 4 3 0 2 5 1 2 1 , 7.10/2.01 2 0 0 5 2 0 -> 4 0 4 2 1 4 4 4 0 1 , 7.10/2.01 2 0 5 3 0 2 -> 2 5 3 5 1 4 5 0 0 2 , 7.10/2.01 5 1 5 1 0 2 -> 4 5 0 0 4 3 1 1 0 4 , 7.10/2.01 0 5 2 2 2 1 0 -> 0 3 2 3 1 4 1 0 1 0 , 7.10/2.01 1 1 5 1 4 4 3 -> 1 0 3 4 4 1 0 2 5 5 , 7.10/2.01 1 3 2 3 0 5 3 -> 1 4 0 1 5 4 0 3 2 5 , 7.10/2.01 3 0 0 5 5 2 1 -> 0 2 4 3 2 3 2 1 0 3 , 7.10/2.01 3 1 5 2 3 0 5 -> 5 3 4 0 4 5 2 0 0 4 } 7.10/2.01 7.10/2.01 7.10/2.01 The system was filtered by the following matrix interpretation 7.10/2.01 of type E_J with J = {1,...,2} and dimension 8: 7.10/2.01 7.10/2.01 0 is interpreted by 7.10/2.01 / \ 7.10/2.01 | 1 0 0 0 0 0 0 0 | 7.10/2.01 | 0 1 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 1 0 0 0 0 | 7.10/2.01 | 0 0 0 0 1 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 \ / 7.10/2.01 2 is interpreted by 7.10/2.01 / \ 7.10/2.01 | 1 0 0 0 0 0 0 0 | 7.10/2.01 | 0 1 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 1 0 0 0 0 1 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 \ / 7.10/2.01 1 is interpreted by 7.10/2.01 / \ 7.10/2.01 | 1 0 0 0 0 0 0 0 | 7.10/2.01 | 0 1 0 0 0 0 0 0 | 7.10/2.01 | 0 0 1 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 1 0 0 0 0 0 0 | 7.10/2.01 \ / 7.10/2.01 4 is interpreted by 7.10/2.01 / \ 7.10/2.01 | 1 0 0 0 0 0 0 0 | 7.10/2.01 | 0 1 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 \ / 7.10/2.01 5 is interpreted by 7.10/2.01 / \ 7.10/2.01 | 1 0 0 0 0 0 0 0 | 7.10/2.01 | 0 1 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 1 0 0 | 7.10/2.01 | 0 0 0 0 0 0 1 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 \ / 7.10/2.01 3 is interpreted by 7.10/2.01 / \ 7.10/2.01 | 1 0 1 0 0 0 0 0 | 7.10/2.01 | 0 1 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 \ / 7.10/2.01 7.10/2.01 Remains to prove termination of the 11-rule system 7.10/2.01 { 1 3 5 3 -> 3 5 4 5 2 4 3 2 5 4 , 7.10/2.01 0 3 4 5 3 -> 2 0 2 5 1 2 4 4 5 5 , 7.10/2.01 2 1 3 1 0 -> 0 1 4 5 1 5 5 2 3 0 , 7.10/2.01 0 5 2 2 2 0 -> 2 5 4 3 0 2 5 1 2 1 , 7.10/2.01 2 0 0 5 2 0 -> 4 0 4 2 1 4 4 4 0 1 , 7.10/2.01 2 0 5 3 0 2 -> 2 5 3 5 1 4 5 0 0 2 , 7.10/2.01 5 1 5 1 0 2 -> 4 5 0 0 4 3 1 1 0 4 , 7.10/2.01 0 5 2 2 2 1 0 -> 0 3 2 3 1 4 1 0 1 0 , 7.10/2.01 1 1 5 1 4 4 3 -> 1 0 3 4 4 1 0 2 5 5 , 7.10/2.01 1 3 2 3 0 5 3 -> 1 4 0 1 5 4 0 3 2 5 , 7.10/2.01 3 1 5 2 3 0 5 -> 5 3 4 0 4 5 2 0 0 4 } 7.10/2.01 7.10/2.01 7.10/2.01 The system was filtered by the following matrix interpretation 7.10/2.01 of type E_J with J = {1,...,2} and dimension 8: 7.10/2.01 7.10/2.01 0 is interpreted by 7.10/2.01 / \ 7.10/2.01 | 1 0 0 0 0 0 0 0 | 7.10/2.01 | 0 1 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 1 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 \ / 7.10/2.01 2 is interpreted by 7.10/2.01 / \ 7.10/2.01 | 1 0 0 0 0 0 0 0 | 7.10/2.01 | 0 1 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 1 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 \ / 7.10/2.01 1 is interpreted by 7.10/2.01 / \ 7.10/2.01 | 1 0 0 0 0 0 0 0 | 7.10/2.01 | 0 1 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 1 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 \ / 7.10/2.01 4 is interpreted by 7.10/2.01 / \ 7.10/2.01 | 1 0 0 0 0 0 0 0 | 7.10/2.01 | 0 1 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 \ / 7.10/2.01 5 is interpreted by 7.10/2.01 / \ 7.10/2.01 | 1 0 0 0 0 0 0 0 | 7.10/2.01 | 0 1 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 1 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 1 0 0 0 0 0 0 | 7.10/2.01 \ / 7.10/2.01 3 is interpreted by 7.10/2.01 / \ 7.10/2.01 | 1 0 1 0 0 0 0 0 | 7.10/2.01 | 0 1 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 1 0 | 7.10/2.01 | 0 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 1 0 0 0 0 0 | 7.10/2.01 \ / 7.10/2.01 7.10/2.01 Remains to prove termination of the 10-rule system 7.10/2.01 { 1 3 5 3 -> 3 5 4 5 2 4 3 2 5 4 , 7.10/2.01 0 3 4 5 3 -> 2 0 2 5 1 2 4 4 5 5 , 7.10/2.01 2 1 3 1 0 -> 0 1 4 5 1 5 5 2 3 0 , 7.10/2.01 0 5 2 2 2 0 -> 2 5 4 3 0 2 5 1 2 1 , 7.10/2.01 2 0 0 5 2 0 -> 4 0 4 2 1 4 4 4 0 1 , 7.10/2.01 2 0 5 3 0 2 -> 2 5 3 5 1 4 5 0 0 2 , 7.10/2.01 5 1 5 1 0 2 -> 4 5 0 0 4 3 1 1 0 4 , 7.10/2.01 0 5 2 2 2 1 0 -> 0 3 2 3 1 4 1 0 1 0 , 7.10/2.01 1 1 5 1 4 4 3 -> 1 0 3 4 4 1 0 2 5 5 , 7.10/2.01 1 3 2 3 0 5 3 -> 1 4 0 1 5 4 0 3 2 5 } 7.10/2.01 7.10/2.01 7.10/2.01 The system was filtered by the following matrix interpretation 7.10/2.01 of type E_J with J = {1,...,2} and dimension 6: 7.10/2.01 7.10/2.01 0 is interpreted by 7.10/2.01 / \ 7.10/2.01 | 1 0 1 0 0 0 | 7.10/2.01 | 0 1 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 | 7.10/2.01 \ / 7.10/2.01 2 is interpreted by 7.10/2.01 / \ 7.10/2.01 | 1 0 0 0 0 0 | 7.10/2.01 | 0 1 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 | 7.10/2.01 \ / 7.10/2.01 1 is interpreted by 7.10/2.01 / \ 7.10/2.01 | 1 0 0 0 0 0 | 7.10/2.01 | 0 1 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 | 7.10/2.01 | 0 1 0 0 0 0 | 7.10/2.01 \ / 7.10/2.01 4 is interpreted by 7.10/2.01 / \ 7.10/2.01 | 1 0 0 0 0 0 | 7.10/2.01 | 0 1 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 1 0 | 7.10/2.01 | 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 | 7.10/2.01 \ / 7.10/2.01 5 is interpreted by 7.10/2.01 / \ 7.10/2.01 | 1 0 0 0 0 0 | 7.10/2.01 | 0 1 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 1 | 7.10/2.01 | 0 0 0 0 0 0 | 7.10/2.01 \ / 7.10/2.01 3 is interpreted by 7.10/2.01 / \ 7.10/2.01 | 1 0 0 0 0 0 | 7.10/2.01 | 0 1 0 0 0 0 | 7.10/2.01 | 0 0 0 1 0 0 | 7.10/2.01 | 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 | 7.10/2.01 | 0 1 0 0 0 0 | 7.10/2.01 \ / 7.10/2.01 7.10/2.01 Remains to prove termination of the 9-rule system 7.10/2.01 { 1 3 5 3 -> 3 5 4 5 2 4 3 2 5 4 , 7.10/2.01 2 1 3 1 0 -> 0 1 4 5 1 5 5 2 3 0 , 7.10/2.01 0 5 2 2 2 0 -> 2 5 4 3 0 2 5 1 2 1 , 7.10/2.01 2 0 0 5 2 0 -> 4 0 4 2 1 4 4 4 0 1 , 7.10/2.01 2 0 5 3 0 2 -> 2 5 3 5 1 4 5 0 0 2 , 7.10/2.01 5 1 5 1 0 2 -> 4 5 0 0 4 3 1 1 0 4 , 7.10/2.01 0 5 2 2 2 1 0 -> 0 3 2 3 1 4 1 0 1 0 , 7.10/2.01 1 1 5 1 4 4 3 -> 1 0 3 4 4 1 0 2 5 5 , 7.10/2.01 1 3 2 3 0 5 3 -> 1 4 0 1 5 4 0 3 2 5 } 7.10/2.01 7.10/2.01 7.10/2.01 The system was filtered by the following matrix interpretation 7.10/2.01 of type E_J with J = {1,...,2} and dimension 7: 7.10/2.01 7.10/2.01 0 is interpreted by 7.10/2.01 / \ 7.10/2.01 | 1 0 1 0 0 0 0 | 7.10/2.01 | 0 1 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 | 7.10/2.01 | 0 1 0 0 0 0 0 | 7.10/2.01 \ / 7.10/2.01 2 is interpreted by 7.10/2.01 / \ 7.10/2.01 | 1 0 0 0 0 0 0 | 7.10/2.01 | 0 1 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 1 0 0 | 7.10/2.01 | 0 0 0 0 0 1 0 | 7.10/2.01 | 0 0 0 0 0 0 1 | 7.10/2.01 | 0 1 0 0 0 0 0 | 7.10/2.01 \ / 7.10/2.01 1 is interpreted by 7.10/2.01 / \ 7.10/2.01 | 1 0 0 0 0 0 0 | 7.10/2.01 | 0 1 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 | 7.10/2.01 \ / 7.10/2.01 4 is interpreted by 7.10/2.01 / \ 7.10/2.01 | 1 0 0 0 0 0 0 | 7.10/2.01 | 0 1 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 | 7.10/2.01 \ / 7.10/2.01 5 is interpreted by 7.10/2.01 / \ 7.10/2.01 | 1 0 0 0 0 0 0 | 7.10/2.01 | 0 1 0 0 0 0 0 | 7.10/2.01 | 0 0 0 1 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 | 7.10/2.01 \ / 7.10/2.01 3 is interpreted by 7.10/2.01 / \ 7.10/2.01 | 1 0 0 0 0 0 0 | 7.10/2.01 | 0 1 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 | 7.10/2.01 | 0 0 0 0 0 0 0 | 7.10/2.01 \ / 7.10/2.01 7.10/2.01 Remains to prove termination of the 8-rule system 7.10/2.01 { 1 3 5 3 -> 3 5 4 5 2 4 3 2 5 4 , 7.10/2.01 2 1 3 1 0 -> 0 1 4 5 1 5 5 2 3 0 , 7.10/2.01 2 0 0 5 2 0 -> 4 0 4 2 1 4 4 4 0 1 , 7.10/2.01 2 0 5 3 0 2 -> 2 5 3 5 1 4 5 0 0 2 , 7.10/2.01 5 1 5 1 0 2 -> 4 5 0 0 4 3 1 1 0 4 , 7.10/2.01 0 5 2 2 2 1 0 -> 0 3 2 3 1 4 1 0 1 0 , 7.10/2.01 1 1 5 1 4 4 3 -> 1 0 3 4 4 1 0 2 5 5 , 7.10/2.01 1 3 2 3 0 5 3 -> 1 4 0 1 5 4 0 3 2 5 } 7.10/2.01 7.10/2.01 7.10/2.01 The system was filtered by the following matrix interpretation 7.10/2.02 of type E_J with J = {1,...,2} and dimension 7: 7.10/2.02 7.10/2.02 0 is interpreted by 7.10/2.02 / \ 7.10/2.02 | 1 0 0 0 0 0 0 | 7.10/2.02 | 0 1 0 0 0 0 0 | 7.10/2.02 | 0 0 0 1 0 0 0 | 7.10/2.02 | 0 0 0 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 0 1 | 7.10/2.02 | 0 0 0 0 0 0 0 | 7.10/2.02 \ / 7.10/2.02 2 is interpreted by 7.10/2.02 / \ 7.10/2.02 | 1 0 1 0 0 0 0 | 7.10/2.02 | 0 1 0 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 0 0 | 7.10/2.02 | 0 1 0 0 0 0 0 | 7.10/2.02 \ / 7.10/2.02 1 is interpreted by 7.10/2.02 / \ 7.10/2.02 | 1 0 0 0 0 0 0 | 7.10/2.02 | 0 1 0 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 0 0 | 7.10/2.02 \ / 7.10/2.02 4 is interpreted by 7.10/2.02 / \ 7.10/2.02 | 1 0 0 0 0 0 0 | 7.10/2.02 | 0 1 0 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 0 0 | 7.10/2.02 \ / 7.10/2.02 5 is interpreted by 7.10/2.02 / \ 7.10/2.02 | 1 0 0 0 0 0 0 | 7.10/2.02 | 0 1 0 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 0 0 | 7.10/2.02 | 0 0 0 0 1 0 0 | 7.10/2.02 | 0 0 0 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 0 0 | 7.10/2.02 \ / 7.10/2.02 3 is interpreted by 7.10/2.02 / \ 7.10/2.02 | 1 0 0 0 0 0 0 | 7.10/2.02 | 0 1 0 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 1 0 | 7.10/2.02 | 0 0 0 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 0 0 | 7.10/2.02 \ / 7.10/2.02 7.10/2.02 Remains to prove termination of the 7-rule system 7.10/2.02 { 1 3 5 3 -> 3 5 4 5 2 4 3 2 5 4 , 7.10/2.02 2 1 3 1 0 -> 0 1 4 5 1 5 5 2 3 0 , 7.10/2.02 2 0 0 5 2 0 -> 4 0 4 2 1 4 4 4 0 1 , 7.10/2.02 5 1 5 1 0 2 -> 4 5 0 0 4 3 1 1 0 4 , 7.10/2.02 0 5 2 2 2 1 0 -> 0 3 2 3 1 4 1 0 1 0 , 7.10/2.02 1 1 5 1 4 4 3 -> 1 0 3 4 4 1 0 2 5 5 , 7.10/2.02 1 3 2 3 0 5 3 -> 1 4 0 1 5 4 0 3 2 5 } 7.10/2.02 7.10/2.02 7.10/2.02 The system was filtered by the following matrix interpretation 7.10/2.02 of type E_J with J = {1,...,2} and dimension 7: 7.10/2.02 7.10/2.02 0 is interpreted by 7.10/2.02 / \ 7.10/2.02 | 1 0 0 0 0 0 0 | 7.10/2.02 | 0 1 0 0 0 0 0 | 7.10/2.02 | 0 0 0 1 0 0 0 | 7.10/2.02 | 0 0 0 0 1 0 0 | 7.10/2.02 | 0 0 0 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 0 0 | 7.10/2.02 | 0 1 0 0 0 0 0 | 7.10/2.02 \ / 7.10/2.02 2 is interpreted by 7.10/2.02 / \ 7.10/2.02 | 1 0 1 0 0 0 0 | 7.10/2.02 | 0 1 0 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 0 1 | 7.10/2.02 | 0 1 0 0 0 0 0 | 7.10/2.02 \ / 7.10/2.02 1 is interpreted by 7.10/2.02 / \ 7.10/2.02 | 1 0 0 0 0 0 0 | 7.10/2.02 | 0 1 0 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 0 0 | 7.10/2.02 \ / 7.10/2.02 4 is interpreted by 7.10/2.02 / \ 7.10/2.02 | 1 0 0 0 0 0 0 | 7.10/2.02 | 0 1 0 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 0 0 | 7.10/2.02 \ / 7.10/2.02 5 is interpreted by 7.10/2.02 / \ 7.10/2.02 | 1 0 0 0 0 0 0 | 7.10/2.02 | 0 1 0 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 1 0 | 7.10/2.02 | 0 0 0 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 0 0 | 7.10/2.02 \ / 7.10/2.02 3 is interpreted by 7.10/2.02 / \ 7.10/2.02 | 1 0 0 0 0 0 0 | 7.10/2.02 | 0 1 0 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 0 0 | 7.10/2.02 \ / 7.10/2.02 7.10/2.02 Remains to prove termination of the 6-rule system 7.10/2.02 { 1 3 5 3 -> 3 5 4 5 2 4 3 2 5 4 , 7.10/2.02 2 1 3 1 0 -> 0 1 4 5 1 5 5 2 3 0 , 7.10/2.02 5 1 5 1 0 2 -> 4 5 0 0 4 3 1 1 0 4 , 7.10/2.02 0 5 2 2 2 1 0 -> 0 3 2 3 1 4 1 0 1 0 , 7.10/2.02 1 1 5 1 4 4 3 -> 1 0 3 4 4 1 0 2 5 5 , 7.10/2.02 1 3 2 3 0 5 3 -> 1 4 0 1 5 4 0 3 2 5 } 7.10/2.02 7.10/2.02 7.10/2.02 The system was filtered by the following matrix interpretation 7.10/2.02 of type E_J with J = {1,...,2} and dimension 5: 7.10/2.02 7.10/2.02 0 is interpreted by 7.10/2.02 / \ 7.10/2.02 | 1 0 0 0 0 | 7.10/2.02 | 0 1 0 0 0 | 7.10/2.02 | 0 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 | 7.10/2.02 \ / 7.10/2.02 2 is interpreted by 7.10/2.02 / \ 7.10/2.02 | 1 0 0 0 0 | 7.10/2.02 | 0 1 0 0 0 | 7.10/2.02 | 0 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 | 7.10/2.02 \ / 7.10/2.02 1 is interpreted by 7.10/2.02 / \ 7.10/2.02 | 1 0 1 0 0 | 7.10/2.02 | 0 1 0 0 0 | 7.10/2.02 | 0 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 | 7.10/2.02 | 0 1 0 0 0 | 7.10/2.02 \ / 7.10/2.02 4 is interpreted by 7.10/2.02 / \ 7.10/2.02 | 1 0 0 0 0 | 7.10/2.02 | 0 1 0 0 0 | 7.10/2.02 | 0 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 | 7.10/2.02 \ / 7.10/2.02 5 is interpreted by 7.10/2.02 / \ 7.10/2.02 | 1 0 0 0 0 | 7.10/2.02 | 0 1 0 0 0 | 7.10/2.02 | 0 0 0 0 0 | 7.10/2.02 | 0 0 0 0 1 | 7.10/2.02 | 0 0 0 0 0 | 7.10/2.02 \ / 7.10/2.02 3 is interpreted by 7.10/2.02 / \ 7.10/2.02 | 1 0 0 0 0 | 7.10/2.02 | 0 1 0 0 0 | 7.10/2.02 | 0 0 0 1 0 | 7.10/2.02 | 0 0 0 0 0 | 7.10/2.02 | 0 1 0 0 0 | 7.10/2.02 \ / 7.10/2.02 7.10/2.02 Remains to prove termination of the 5-rule system 7.10/2.02 { 2 1 3 1 0 -> 0 1 4 5 1 5 5 2 3 0 , 7.10/2.02 5 1 5 1 0 2 -> 4 5 0 0 4 3 1 1 0 4 , 7.10/2.02 0 5 2 2 2 1 0 -> 0 3 2 3 1 4 1 0 1 0 , 7.10/2.02 1 1 5 1 4 4 3 -> 1 0 3 4 4 1 0 2 5 5 , 7.10/2.02 1 3 2 3 0 5 3 -> 1 4 0 1 5 4 0 3 2 5 } 7.10/2.02 7.10/2.02 7.10/2.02 The system was filtered by the following matrix interpretation 7.10/2.02 of type E_J with J = {1,...,2} and dimension 8: 7.10/2.02 7.10/2.02 0 is interpreted by 7.10/2.02 / \ 7.10/2.02 | 1 0 0 0 0 0 0 0 | 7.10/2.02 | 0 1 0 0 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 0 0 0 | 7.10/2.02 \ / 7.10/2.02 2 is interpreted by 7.10/2.02 / \ 7.10/2.02 | 1 0 0 0 0 0 0 0 | 7.10/2.02 | 0 1 0 0 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 0 0 0 | 7.10/2.02 \ / 7.10/2.02 1 is interpreted by 7.10/2.02 / \ 7.10/2.02 | 1 0 1 0 0 0 0 0 | 7.10/2.02 | 0 1 0 0 0 0 0 0 | 7.10/2.02 | 0 0 0 1 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 1 0 0 | 7.10/2.02 | 0 0 0 0 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 0 0 0 | 7.10/2.02 \ / 7.10/2.02 4 is interpreted by 7.10/2.02 / \ 7.10/2.02 | 1 0 0 0 0 0 0 0 | 7.10/2.02 | 0 1 0 0 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 0 1 0 | 7.10/2.02 | 0 0 0 0 0 0 0 1 | 7.10/2.02 | 0 0 0 0 0 0 0 0 | 7.10/2.02 \ / 7.10/2.02 5 is interpreted by 7.10/2.02 / \ 7.10/2.02 | 1 0 0 0 0 0 0 0 | 7.10/2.02 | 0 1 0 0 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 0 0 0 | 7.10/2.02 | 0 0 0 0 1 0 0 0 | 7.10/2.02 | 0 0 0 0 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 0 0 0 | 7.10/2.02 \ / 7.10/2.02 3 is interpreted by 7.10/2.02 / \ 7.10/2.02 | 1 0 0 0 0 0 0 0 | 7.10/2.02 | 0 1 0 0 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 0 0 0 | 7.10/2.02 | 0 1 0 0 0 0 0 0 | 7.10/2.02 \ / 7.10/2.02 7.10/2.02 Remains to prove termination of the 4-rule system 7.10/2.02 { 2 1 3 1 0 -> 0 1 4 5 1 5 5 2 3 0 , 7.10/2.02 5 1 5 1 0 2 -> 4 5 0 0 4 3 1 1 0 4 , 7.10/2.02 0 5 2 2 2 1 0 -> 0 3 2 3 1 4 1 0 1 0 , 7.10/2.02 1 3 2 3 0 5 3 -> 1 4 0 1 5 4 0 3 2 5 } 7.10/2.02 7.10/2.02 7.10/2.02 The system was filtered by the following matrix interpretation 7.10/2.02 of type E_J with J = {1,...,2} and dimension 2: 7.10/2.02 7.10/2.02 0 is interpreted by 7.10/2.02 / \ 7.10/2.02 | 1 0 | 7.10/2.02 | 0 1 | 7.10/2.02 \ / 7.10/2.02 2 is interpreted by 7.10/2.02 / \ 7.10/2.02 | 1 1 | 7.10/2.02 | 0 1 | 7.10/2.02 \ / 7.10/2.02 1 is interpreted by 7.10/2.02 / \ 7.10/2.02 | 1 0 | 7.10/2.02 | 0 1 | 7.10/2.02 \ / 7.10/2.02 4 is interpreted by 7.10/2.02 / \ 7.10/2.02 | 1 0 | 7.10/2.02 | 0 1 | 7.10/2.02 \ / 7.10/2.02 5 is interpreted by 7.10/2.02 / \ 7.10/2.02 | 1 0 | 7.10/2.02 | 0 1 | 7.10/2.02 \ / 7.10/2.02 3 is interpreted by 7.10/2.02 / \ 7.10/2.02 | 1 0 | 7.10/2.02 | 0 1 | 7.10/2.02 \ / 7.10/2.02 7.10/2.02 Remains to prove termination of the 2-rule system 7.10/2.02 { 2 1 3 1 0 -> 0 1 4 5 1 5 5 2 3 0 , 7.10/2.02 1 3 2 3 0 5 3 -> 1 4 0 1 5 4 0 3 2 5 } 7.10/2.02 7.10/2.02 7.10/2.02 The system was filtered by the following matrix interpretation 7.10/2.02 of type E_J with J = {1,...,2} and dimension 2: 7.10/2.02 7.10/2.02 0 is interpreted by 7.10/2.02 / \ 7.10/2.02 | 1 0 | 7.10/2.02 | 0 1 | 7.10/2.02 \ / 7.10/2.02 2 is interpreted by 7.10/2.02 / \ 7.10/2.02 | 1 0 | 7.10/2.02 | 0 1 | 7.10/2.02 \ / 7.10/2.02 1 is interpreted by 7.10/2.02 / \ 7.10/2.02 | 1 0 | 7.10/2.02 | 0 1 | 7.10/2.02 \ / 7.10/2.02 4 is interpreted by 7.10/2.02 / \ 7.10/2.02 | 1 0 | 7.10/2.02 | 0 1 | 7.10/2.02 \ / 7.10/2.02 5 is interpreted by 7.10/2.02 / \ 7.10/2.02 | 1 0 | 7.10/2.02 | 0 1 | 7.10/2.02 \ / 7.10/2.02 3 is interpreted by 7.10/2.02 / \ 7.10/2.02 | 1 1 | 7.10/2.02 | 0 1 | 7.10/2.02 \ / 7.10/2.02 7.10/2.02 Remains to prove termination of the 1-rule system 7.10/2.02 { 2 1 3 1 0 -> 0 1 4 5 1 5 5 2 3 0 } 7.10/2.02 7.10/2.02 7.10/2.02 The system was filtered by the following matrix interpretation 7.10/2.02 of type E_J with J = {1,...,2} and dimension 6: 7.10/2.02 7.10/2.02 0 is interpreted by 7.10/2.02 / \ 7.10/2.02 | 1 0 0 0 0 0 | 7.10/2.02 | 0 1 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 0 | 7.10/2.02 | 0 1 0 0 0 0 | 7.10/2.02 \ / 7.10/2.02 2 is interpreted by 7.10/2.02 / \ 7.10/2.02 | 1 0 1 0 0 0 | 7.10/2.02 | 0 1 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 0 | 7.10/2.02 | 0 1 0 0 0 0 | 7.10/2.02 \ / 7.10/2.02 1 is interpreted by 7.10/2.02 / \ 7.10/2.02 | 1 0 0 0 0 0 | 7.10/2.02 | 0 1 0 0 0 0 | 7.10/2.02 | 0 0 0 1 0 0 | 7.10/2.02 | 0 0 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 1 | 7.10/2.02 | 0 0 0 0 0 0 | 7.10/2.02 \ / 7.10/2.02 4 is interpreted by 7.10/2.02 / \ 7.10/2.02 | 1 0 0 0 0 0 | 7.10/2.02 | 0 1 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 0 | 7.10/2.02 \ / 7.10/2.02 5 is interpreted by 7.10/2.02 / \ 7.10/2.02 | 1 0 0 0 0 0 | 7.10/2.02 | 0 1 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 0 | 7.10/2.02 \ / 7.10/2.02 3 is interpreted by 7.10/2.02 / \ 7.10/2.02 | 1 0 0 0 0 0 | 7.10/2.02 | 0 1 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 0 | 7.10/2.02 | 0 0 0 0 1 0 | 7.10/2.02 | 0 0 0 0 0 0 | 7.10/2.02 | 0 0 0 0 0 0 | 7.10/2.02 \ / 7.10/2.02 7.10/2.02 Remains to prove termination of the 0-rule system 7.10/2.02 { } 7.10/2.02 7.10/2.02 7.10/2.02 The system is trivially terminating. 7.10/2.05 EOF