14.88/4.04 YES 15.50/4.16 15.50/4.16 15.50/4.16 The system was filtered by the following matrix interpretation 15.50/4.16 of type E_J with J = {1,...,2} and dimension 6: 15.50/4.16 15.50/4.16 0 is interpreted by 15.50/4.16 / \ 15.50/4.16 | 1 0 0 0 0 0 | 15.50/4.16 | 0 1 0 0 0 0 | 15.50/4.16 | 0 0 0 0 0 0 | 15.50/4.16 | 0 0 0 0 1 0 | 15.50/4.16 | 0 0 0 0 0 1 | 15.50/4.16 | 0 0 0 0 0 0 | 15.50/4.16 \ / 15.50/4.16 2 is interpreted by 15.50/4.16 / \ 15.50/4.16 | 1 0 1 0 0 0 | 15.50/4.16 | 0 1 0 0 0 0 | 15.50/4.16 | 0 0 0 1 0 0 | 15.50/4.16 | 0 0 0 0 0 0 | 15.50/4.16 | 0 0 0 0 0 0 | 15.50/4.16 | 0 0 0 0 0 0 | 15.50/4.16 \ / 15.50/4.16 1 is interpreted by 15.50/4.16 / \ 15.50/4.16 | 1 0 0 0 0 0 | 15.50/4.16 | 0 1 0 0 0 0 | 15.50/4.16 | 0 0 0 0 0 0 | 15.50/4.16 | 0 0 0 0 0 0 | 15.50/4.16 | 0 0 0 0 0 0 | 15.50/4.16 | 0 0 0 0 0 0 | 15.50/4.16 \ / 15.50/4.16 3 is interpreted by 15.50/4.16 / \ 15.50/4.16 | 1 0 0 0 0 0 | 15.50/4.16 | 0 1 0 0 0 0 | 15.50/4.16 | 0 0 0 0 0 0 | 15.50/4.16 | 0 0 0 0 0 0 | 15.50/4.16 | 0 0 0 0 0 0 | 15.50/4.16 | 0 0 0 0 0 0 | 15.50/4.16 \ / 15.50/4.16 5 is interpreted by 15.50/4.16 / \ 15.50/4.16 | 1 0 0 0 0 0 | 15.50/4.16 | 0 1 0 0 0 0 | 15.50/4.16 | 0 0 0 0 0 0 | 15.50/4.16 | 0 0 0 0 0 0 | 15.50/4.16 | 0 0 0 0 0 0 | 15.50/4.16 | 0 1 0 0 0 0 | 15.50/4.16 \ / 15.50/4.16 4 is interpreted by 15.50/4.16 / \ 15.50/4.16 | 1 0 0 0 0 0 | 15.50/4.16 | 0 1 0 0 0 0 | 15.50/4.16 | 0 0 0 0 0 0 | 15.50/4.16 | 0 0 0 0 0 0 | 15.50/4.16 | 0 0 0 0 0 0 | 15.50/4.16 | 0 0 0 0 0 0 | 15.50/4.16 \ / 15.50/4.16 15.50/4.16 Remains to prove termination of the 37-rule system 15.50/4.16 { 0 2 2 0 -> 0 0 1 0 3 5 5 1 3 0 , 15.50/4.16 0 3 2 1 -> 0 0 0 0 0 0 0 2 3 3 , 15.50/4.16 2 0 5 0 -> 1 2 4 2 5 4 5 5 0 0 , 15.50/4.16 2 0 5 2 -> 1 4 3 4 0 3 3 0 0 3 , 15.50/4.16 0 2 0 5 2 -> 0 4 5 3 0 4 0 1 2 5 , 15.50/4.16 0 2 4 0 5 -> 1 0 4 1 0 3 3 4 0 5 , 15.50/4.16 0 3 0 5 2 -> 0 1 0 1 1 0 0 5 3 4 , 15.50/4.16 2 5 2 5 5 -> 2 2 4 0 1 1 4 5 0 5 , 15.50/4.16 3 2 0 1 2 -> 3 4 3 3 3 3 2 3 4 4 , 15.50/4.16 3 2 5 2 0 -> 3 4 3 0 2 4 5 0 5 0 , 15.50/4.16 5 3 0 2 2 -> 5 3 0 0 0 4 1 0 0 0 , 15.50/4.16 0 3 1 0 5 4 -> 0 0 4 5 2 1 2 0 1 5 , 15.50/4.16 0 3 2 4 2 5 -> 0 3 2 5 1 0 4 0 4 0 , 15.50/4.16 0 5 0 2 2 4 -> 4 5 0 0 5 1 5 1 1 4 , 15.50/4.16 2 0 5 3 2 2 -> 4 3 0 0 1 1 2 0 5 0 , 15.50/4.16 2 1 0 3 5 0 -> 4 3 0 0 4 4 0 5 4 0 , 15.50/4.16 2 4 4 1 5 2 -> 2 0 2 4 5 4 5 1 1 3 , 15.50/4.16 2 5 2 1 4 0 -> 1 4 5 5 1 1 0 0 2 0 , 15.50/4.16 4 0 2 0 5 1 -> 0 2 5 1 1 1 4 3 1 5 , 15.50/4.16 4 1 2 5 5 2 -> 4 2 3 0 0 0 0 1 0 3 , 15.50/4.16 4 2 2 5 5 2 -> 1 3 3 3 2 3 5 1 3 4 , 15.50/4.16 5 4 2 2 1 5 -> 4 0 1 0 1 5 5 2 2 5 , 15.50/4.16 0 2 2 0 1 2 0 -> 0 4 3 4 2 3 5 4 0 0 , 15.50/4.16 0 3 0 2 1 5 3 -> 0 4 5 1 3 0 0 0 5 0 , 15.50/4.16 0 3 0 2 4 2 4 -> 4 5 0 1 2 1 4 4 2 4 , 15.50/4.16 0 3 2 3 5 5 3 -> 0 3 3 4 1 3 2 5 5 3 , 15.50/4.16 0 3 2 5 0 5 4 -> 4 5 0 0 5 4 1 4 0 1 , 15.50/4.16 1 0 2 1 0 3 5 -> 1 0 0 0 2 1 1 2 1 5 , 15.50/4.16 1 2 0 5 5 2 4 -> 3 1 3 4 4 2 3 4 4 5 , 15.50/4.16 1 2 1 5 0 3 0 -> 3 4 3 2 1 5 2 0 1 0 , 15.50/4.16 2 0 2 2 5 5 1 -> 3 2 5 4 3 1 4 5 5 0 , 15.50/4.16 2 0 3 0 4 2 2 -> 3 3 2 2 0 1 1 1 3 2 , 15.50/4.16 2 3 2 5 2 3 5 -> 3 1 4 3 1 0 3 1 3 5 , 15.50/4.16 3 2 1 0 3 1 5 -> 1 1 3 1 3 0 2 4 2 5 , 15.50/4.16 4 0 5 2 0 2 0 -> 4 0 4 4 2 0 0 1 0 0 , 15.50/4.16 4 2 0 2 5 3 2 -> 1 4 3 4 0 5 5 5 4 1 , 15.50/4.16 5 3 0 4 2 2 5 -> 5 1 2 0 5 0 1 5 0 5 } 15.50/4.16 15.50/4.16 15.50/4.16 The system was filtered by the following matrix interpretation 15.50/4.16 of type E_J with J = {1,...,2} and dimension 7: 15.50/4.16 15.50/4.16 0 is interpreted by 15.50/4.16 / \ 15.50/4.16 | 1 0 0 0 0 0 0 | 15.50/4.16 | 0 1 0 0 0 0 0 | 15.50/4.16 | 0 0 0 0 0 0 0 | 15.50/4.16 | 0 0 0 0 0 0 0 | 15.50/4.16 | 0 0 0 0 0 0 0 | 15.50/4.16 | 0 0 0 0 0 0 0 | 15.50/4.16 | 0 0 0 0 0 0 0 | 15.50/4.16 \ / 15.50/4.16 2 is interpreted by 15.50/4.16 / \ 15.50/4.16 | 1 0 1 0 0 0 0 | 15.50/4.16 | 0 1 0 0 0 0 0 | 15.50/4.16 | 0 0 0 0 0 0 0 | 15.50/4.16 | 0 0 0 0 0 0 0 | 15.50/4.16 | 0 0 0 0 0 0 0 | 15.50/4.16 | 0 0 0 0 0 0 0 | 15.50/4.16 | 0 1 0 0 0 0 0 | 15.50/4.16 \ / 15.50/4.16 1 is interpreted by 15.50/4.16 / \ 15.50/4.16 | 1 0 0 0 0 0 0 | 15.50/4.16 | 0 1 0 0 0 0 0 | 15.50/4.16 | 0 0 0 0 0 0 0 | 15.50/4.16 | 0 0 0 0 0 0 0 | 15.50/4.16 | 0 0 0 0 0 1 0 | 15.50/4.16 | 0 0 0 0 0 0 0 | 15.50/4.16 | 0 0 0 0 0 0 0 | 15.50/4.16 \ / 15.50/4.16 3 is interpreted by 15.50/4.16 / \ 15.50/4.16 | 1 0 0 0 0 0 0 | 15.50/4.16 | 0 1 0 0 0 0 0 | 15.50/4.16 | 0 0 0 0 0 0 0 | 15.50/4.16 | 0 0 0 0 0 0 0 | 15.50/4.16 | 0 0 0 0 0 0 0 | 15.50/4.16 | 0 0 0 0 0 0 0 | 15.50/4.16 | 0 0 0 0 0 0 0 | 15.50/4.16 \ / 15.50/4.16 5 is interpreted by 15.50/4.16 / \ 15.50/4.16 | 1 0 0 0 0 0 0 | 15.50/4.16 | 0 1 0 0 0 0 0 | 15.50/4.16 | 0 0 0 0 0 0 0 | 15.50/4.16 | 0 0 0 0 0 0 0 | 15.50/4.16 | 0 0 0 0 0 0 0 | 15.50/4.16 | 0 0 0 0 0 0 1 | 15.50/4.16 | 0 0 0 0 0 0 0 | 15.50/4.16 \ / 15.50/4.16 4 is interpreted by 15.50/4.16 / \ 15.50/4.16 | 1 0 0 0 0 0 0 | 15.50/4.16 | 0 1 0 0 0 0 0 | 15.50/4.16 | 0 0 0 1 0 0 0 | 15.50/4.16 | 0 0 0 0 1 0 0 | 15.50/4.16 | 0 0 0 0 0 0 0 | 15.50/4.16 | 0 0 0 0 0 0 0 | 15.50/4.16 | 0 0 0 0 0 0 0 | 15.50/4.16 \ / 15.50/4.16 15.50/4.16 Remains to prove termination of the 36-rule system 15.50/4.16 { 0 2 2 0 -> 0 0 1 0 3 5 5 1 3 0 , 15.50/4.16 0 3 2 1 -> 0 0 0 0 0 0 0 2 3 3 , 15.50/4.16 2 0 5 0 -> 1 2 4 2 5 4 5 5 0 0 , 15.50/4.16 2 0 5 2 -> 1 4 3 4 0 3 3 0 0 3 , 15.50/4.16 0 2 0 5 2 -> 0 4 5 3 0 4 0 1 2 5 , 15.50/4.16 0 2 4 0 5 -> 1 0 4 1 0 3 3 4 0 5 , 15.50/4.16 0 3 0 5 2 -> 0 1 0 1 1 0 0 5 3 4 , 15.50/4.16 2 5 2 5 5 -> 2 2 4 0 1 1 4 5 0 5 , 15.50/4.16 3 2 0 1 2 -> 3 4 3 3 3 3 2 3 4 4 , 15.50/4.16 3 2 5 2 0 -> 3 4 3 0 2 4 5 0 5 0 , 15.50/4.16 5 3 0 2 2 -> 5 3 0 0 0 4 1 0 0 0 , 15.50/4.16 0 3 1 0 5 4 -> 0 0 4 5 2 1 2 0 1 5 , 15.50/4.16 0 3 2 4 2 5 -> 0 3 2 5 1 0 4 0 4 0 , 15.50/4.16 0 5 0 2 2 4 -> 4 5 0 0 5 1 5 1 1 4 , 15.50/4.16 2 0 5 3 2 2 -> 4 3 0 0 1 1 2 0 5 0 , 15.50/4.16 2 1 0 3 5 0 -> 4 3 0 0 4 4 0 5 4 0 , 15.50/4.16 2 5 2 1 4 0 -> 1 4 5 5 1 1 0 0 2 0 , 15.50/4.16 4 0 2 0 5 1 -> 0 2 5 1 1 1 4 3 1 5 , 15.50/4.16 4 1 2 5 5 2 -> 4 2 3 0 0 0 0 1 0 3 , 15.50/4.16 4 2 2 5 5 2 -> 1 3 3 3 2 3 5 1 3 4 , 15.50/4.16 5 4 2 2 1 5 -> 4 0 1 0 1 5 5 2 2 5 , 15.50/4.16 0 2 2 0 1 2 0 -> 0 4 3 4 2 3 5 4 0 0 , 15.50/4.16 0 3 0 2 1 5 3 -> 0 4 5 1 3 0 0 0 5 0 , 15.50/4.16 0 3 0 2 4 2 4 -> 4 5 0 1 2 1 4 4 2 4 , 15.50/4.16 0 3 2 3 5 5 3 -> 0 3 3 4 1 3 2 5 5 3 , 15.50/4.16 0 3 2 5 0 5 4 -> 4 5 0 0 5 4 1 4 0 1 , 15.50/4.16 1 0 2 1 0 3 5 -> 1 0 0 0 2 1 1 2 1 5 , 15.50/4.16 1 2 0 5 5 2 4 -> 3 1 3 4 4 2 3 4 4 5 , 15.50/4.16 1 2 1 5 0 3 0 -> 3 4 3 2 1 5 2 0 1 0 , 15.50/4.16 2 0 2 2 5 5 1 -> 3 2 5 4 3 1 4 5 5 0 , 15.50/4.16 2 0 3 0 4 2 2 -> 3 3 2 2 0 1 1 1 3 2 , 15.50/4.16 2 3 2 5 2 3 5 -> 3 1 4 3 1 0 3 1 3 5 , 15.50/4.16 3 2 1 0 3 1 5 -> 1 1 3 1 3 0 2 4 2 5 , 15.50/4.16 4 0 5 2 0 2 0 -> 4 0 4 4 2 0 0 1 0 0 , 15.50/4.16 4 2 0 2 5 3 2 -> 1 4 3 4 0 5 5 5 4 1 , 15.50/4.16 5 3 0 4 2 2 5 -> 5 1 2 0 5 0 1 5 0 5 } 15.50/4.16 15.50/4.16 15.50/4.16 The system was filtered by the following matrix interpretation 15.50/4.16 of type E_J with J = {1,...,2} and dimension 8: 15.50/4.16 15.50/4.16 0 is interpreted by 15.50/4.16 / \ 15.50/4.16 | 1 0 0 0 0 0 0 0 | 15.50/4.16 | 0 1 0 0 0 0 0 0 | 15.50/4.16 | 0 0 0 0 0 0 0 0 | 15.50/4.16 | 0 0 0 0 0 0 0 0 | 15.50/4.16 | 0 0 0 0 0 0 0 0 | 15.50/4.16 | 0 0 0 0 0 0 0 0 | 15.50/4.16 | 0 0 0 0 0 0 0 0 | 15.50/4.16 | 0 0 0 0 0 0 0 0 | 15.50/4.16 \ / 15.50/4.16 2 is interpreted by 15.50/4.16 / \ 15.50/4.16 | 1 0 1 0 0 0 0 0 | 15.50/4.16 | 0 1 0 0 0 0 0 0 | 15.50/4.16 | 0 0 0 0 0 0 0 0 | 15.50/4.16 | 0 0 0 0 1 0 0 0 | 15.50/4.16 | 0 0 0 0 0 0 0 0 | 15.50/4.16 | 0 0 0 0 0 0 1 0 | 15.50/4.16 | 0 0 0 0 0 0 0 0 | 15.50/4.16 | 0 0 0 0 0 0 0 0 | 15.50/4.16 \ / 15.50/4.16 1 is interpreted by 15.50/4.16 / \ 15.50/4.16 | 1 0 0 0 0 0 0 0 | 15.50/4.16 | 0 1 0 0 0 0 0 0 | 15.50/4.16 | 0 0 0 0 0 0 0 0 | 15.50/4.16 | 0 0 0 0 0 0 0 0 | 15.50/4.16 | 0 0 0 0 0 0 0 0 | 15.50/4.16 | 0 0 0 0 0 0 0 0 | 15.50/4.16 | 0 0 0 0 0 0 0 0 | 15.50/4.16 | 0 0 0 0 0 0 0 0 | 15.50/4.16 \ / 15.50/4.16 3 is interpreted by 15.50/4.16 / \ 15.50/4.16 | 1 0 0 0 0 0 0 0 | 15.50/4.16 | 0 1 0 0 0 0 0 0 | 15.50/4.16 | 0 0 0 1 0 0 0 0 | 15.50/4.16 | 0 0 0 0 0 0 0 0 | 15.50/4.16 | 0 0 0 0 0 0 0 0 | 15.50/4.16 | 0 0 0 0 0 0 0 0 | 15.50/4.16 | 0 0 0 0 0 0 0 1 | 15.50/4.16 | 0 0 0 0 0 0 0 0 | 15.50/4.16 \ / 15.50/4.16 5 is interpreted by 15.50/4.16 / \ 15.50/4.16 | 1 0 0 0 0 0 0 0 | 15.50/4.16 | 0 1 0 0 0 0 0 0 | 15.50/4.16 | 0 0 0 0 0 0 0 0 | 15.50/4.16 | 0 0 0 0 0 0 0 0 | 15.50/4.16 | 0 0 0 0 0 1 0 0 | 15.50/4.16 | 0 0 0 0 0 0 0 0 | 15.50/4.16 | 0 0 0 0 0 0 0 0 | 15.50/4.16 | 0 1 0 0 0 0 0 0 | 15.50/4.16 \ / 15.50/4.16 4 is interpreted by 15.50/4.16 / \ 15.50/4.16 | 1 0 0 0 0 0 0 0 | 15.50/4.16 | 0 1 0 0 0 0 0 0 | 15.50/4.16 | 0 0 0 0 0 0 0 0 | 15.50/4.16 | 0 0 0 0 0 0 0 0 | 15.50/4.16 | 0 0 0 0 0 0 0 0 | 15.50/4.16 | 0 0 0 0 0 0 0 0 | 15.50/4.16 | 0 0 0 0 0 0 0 0 | 15.50/4.16 | 0 0 0 0 0 0 0 0 | 15.50/4.16 \ / 15.50/4.16 15.50/4.16 Remains to prove termination of the 35-rule system 15.50/4.16 { 0 2 2 0 -> 0 0 1 0 3 5 5 1 3 0 , 15.50/4.16 0 3 2 1 -> 0 0 0 0 0 0 0 2 3 3 , 15.50/4.16 2 0 5 0 -> 1 2 4 2 5 4 5 5 0 0 , 15.50/4.16 2 0 5 2 -> 1 4 3 4 0 3 3 0 0 3 , 15.50/4.16 0 2 0 5 2 -> 0 4 5 3 0 4 0 1 2 5 , 15.50/4.16 0 2 4 0 5 -> 1 0 4 1 0 3 3 4 0 5 , 15.50/4.16 0 3 0 5 2 -> 0 1 0 1 1 0 0 5 3 4 , 15.50/4.16 2 5 2 5 5 -> 2 2 4 0 1 1 4 5 0 5 , 15.50/4.16 3 2 0 1 2 -> 3 4 3 3 3 3 2 3 4 4 , 15.50/4.16 3 2 5 2 0 -> 3 4 3 0 2 4 5 0 5 0 , 15.50/4.16 5 3 0 2 2 -> 5 3 0 0 0 4 1 0 0 0 , 15.50/4.16 0 3 1 0 5 4 -> 0 0 4 5 2 1 2 0 1 5 , 15.50/4.16 0 3 2 4 2 5 -> 0 3 2 5 1 0 4 0 4 0 , 15.50/4.16 0 5 0 2 2 4 -> 4 5 0 0 5 1 5 1 1 4 , 15.50/4.16 2 0 5 3 2 2 -> 4 3 0 0 1 1 2 0 5 0 , 15.50/4.16 2 1 0 3 5 0 -> 4 3 0 0 4 4 0 5 4 0 , 15.50/4.17 2 5 2 1 4 0 -> 1 4 5 5 1 1 0 0 2 0 , 15.50/4.17 4 0 2 0 5 1 -> 0 2 5 1 1 1 4 3 1 5 , 15.50/4.17 4 1 2 5 5 2 -> 4 2 3 0 0 0 0 1 0 3 , 15.50/4.17 4 2 2 5 5 2 -> 1 3 3 3 2 3 5 1 3 4 , 15.50/4.17 5 4 2 2 1 5 -> 4 0 1 0 1 5 5 2 2 5 , 15.50/4.17 0 2 2 0 1 2 0 -> 0 4 3 4 2 3 5 4 0 0 , 15.50/4.17 0 3 0 2 1 5 3 -> 0 4 5 1 3 0 0 0 5 0 , 15.50/4.17 0 3 0 2 4 2 4 -> 4 5 0 1 2 1 4 4 2 4 , 15.50/4.17 0 3 2 3 5 5 3 -> 0 3 3 4 1 3 2 5 5 3 , 15.50/4.17 0 3 2 5 0 5 4 -> 4 5 0 0 5 4 1 4 0 1 , 15.50/4.17 1 0 2 1 0 3 5 -> 1 0 0 0 2 1 1 2 1 5 , 15.50/4.17 1 2 0 5 5 2 4 -> 3 1 3 4 4 2 3 4 4 5 , 15.50/4.17 1 2 1 5 0 3 0 -> 3 4 3 2 1 5 2 0 1 0 , 15.50/4.17 2 0 2 2 5 5 1 -> 3 2 5 4 3 1 4 5 5 0 , 15.50/4.17 2 0 3 0 4 2 2 -> 3 3 2 2 0 1 1 1 3 2 , 15.50/4.17 3 2 1 0 3 1 5 -> 1 1 3 1 3 0 2 4 2 5 , 15.50/4.17 4 0 5 2 0 2 0 -> 4 0 4 4 2 0 0 1 0 0 , 15.50/4.17 4 2 0 2 5 3 2 -> 1 4 3 4 0 5 5 5 4 1 , 15.50/4.17 5 3 0 4 2 2 5 -> 5 1 2 0 5 0 1 5 0 5 } 15.50/4.17 15.50/4.17 15.50/4.17 The system was filtered by the following matrix interpretation 15.50/4.17 of type E_J with J = {1,...,2} and dimension 7: 15.50/4.17 15.50/4.17 0 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 1 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 2 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 1 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 1 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 | 15.50/4.17 | 0 0 0 1 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 3 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 1 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 5 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 1 | 15.50/4.17 | 0 1 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 4 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 1 | 15.50/4.17 \ / 15.50/4.17 15.50/4.17 Remains to prove termination of the 34-rule system 15.50/4.17 { 0 2 2 0 -> 0 0 1 0 3 5 5 1 3 0 , 15.50/4.17 0 3 2 1 -> 0 0 0 0 0 0 0 2 3 3 , 15.50/4.17 2 0 5 0 -> 1 2 4 2 5 4 5 5 0 0 , 15.50/4.17 2 0 5 2 -> 1 4 3 4 0 3 3 0 0 3 , 15.50/4.17 0 2 0 5 2 -> 0 4 5 3 0 4 0 1 2 5 , 15.50/4.17 0 2 4 0 5 -> 1 0 4 1 0 3 3 4 0 5 , 15.50/4.17 0 3 0 5 2 -> 0 1 0 1 1 0 0 5 3 4 , 15.50/4.17 2 5 2 5 5 -> 2 2 4 0 1 1 4 5 0 5 , 15.50/4.17 3 2 0 1 2 -> 3 4 3 3 3 3 2 3 4 4 , 15.50/4.17 3 2 5 2 0 -> 3 4 3 0 2 4 5 0 5 0 , 15.50/4.17 5 3 0 2 2 -> 5 3 0 0 0 4 1 0 0 0 , 15.50/4.17 0 3 1 0 5 4 -> 0 0 4 5 2 1 2 0 1 5 , 15.50/4.17 0 3 2 4 2 5 -> 0 3 2 5 1 0 4 0 4 0 , 15.50/4.17 0 5 0 2 2 4 -> 4 5 0 0 5 1 5 1 1 4 , 15.50/4.17 2 0 5 3 2 2 -> 4 3 0 0 1 1 2 0 5 0 , 15.50/4.17 2 5 2 1 4 0 -> 1 4 5 5 1 1 0 0 2 0 , 15.50/4.17 4 0 2 0 5 1 -> 0 2 5 1 1 1 4 3 1 5 , 15.50/4.17 4 1 2 5 5 2 -> 4 2 3 0 0 0 0 1 0 3 , 15.50/4.17 4 2 2 5 5 2 -> 1 3 3 3 2 3 5 1 3 4 , 15.50/4.17 5 4 2 2 1 5 -> 4 0 1 0 1 5 5 2 2 5 , 15.50/4.17 0 2 2 0 1 2 0 -> 0 4 3 4 2 3 5 4 0 0 , 15.50/4.17 0 3 0 2 1 5 3 -> 0 4 5 1 3 0 0 0 5 0 , 15.50/4.17 0 3 0 2 4 2 4 -> 4 5 0 1 2 1 4 4 2 4 , 15.50/4.17 0 3 2 3 5 5 3 -> 0 3 3 4 1 3 2 5 5 3 , 15.50/4.17 0 3 2 5 0 5 4 -> 4 5 0 0 5 4 1 4 0 1 , 15.50/4.17 1 0 2 1 0 3 5 -> 1 0 0 0 2 1 1 2 1 5 , 15.50/4.17 1 2 0 5 5 2 4 -> 3 1 3 4 4 2 3 4 4 5 , 15.50/4.17 1 2 1 5 0 3 0 -> 3 4 3 2 1 5 2 0 1 0 , 15.50/4.17 2 0 2 2 5 5 1 -> 3 2 5 4 3 1 4 5 5 0 , 15.50/4.17 2 0 3 0 4 2 2 -> 3 3 2 2 0 1 1 1 3 2 , 15.50/4.17 3 2 1 0 3 1 5 -> 1 1 3 1 3 0 2 4 2 5 , 15.50/4.17 4 0 5 2 0 2 0 -> 4 0 4 4 2 0 0 1 0 0 , 15.50/4.17 4 2 0 2 5 3 2 -> 1 4 3 4 0 5 5 5 4 1 , 15.50/4.17 5 3 0 4 2 2 5 -> 5 1 2 0 5 0 1 5 0 5 } 15.50/4.17 15.50/4.17 15.50/4.17 The system was filtered by the following matrix interpretation 15.50/4.17 of type E_J with J = {1,...,2} and dimension 7: 15.50/4.17 15.50/4.17 0 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 2 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 1 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 | 15.50/4.17 | 0 0 0 1 0 0 0 | 15.50/4.17 | 0 0 0 0 1 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 1 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 3 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 5 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 1 0 | 15.50/4.17 | 0 0 0 0 0 0 1 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 4 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 1 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 15.50/4.17 Remains to prove termination of the 33-rule system 15.50/4.17 { 0 2 2 0 -> 0 0 1 0 3 5 5 1 3 0 , 15.50/4.17 0 3 2 1 -> 0 0 0 0 0 0 0 2 3 3 , 15.50/4.17 2 0 5 0 -> 1 2 4 2 5 4 5 5 0 0 , 15.50/4.17 2 0 5 2 -> 1 4 3 4 0 3 3 0 0 3 , 15.50/4.17 0 2 0 5 2 -> 0 4 5 3 0 4 0 1 2 5 , 15.50/4.17 0 2 4 0 5 -> 1 0 4 1 0 3 3 4 0 5 , 15.50/4.17 0 3 0 5 2 -> 0 1 0 1 1 0 0 5 3 4 , 15.50/4.17 2 5 2 5 5 -> 2 2 4 0 1 1 4 5 0 5 , 15.50/4.17 3 2 0 1 2 -> 3 4 3 3 3 3 2 3 4 4 , 15.50/4.17 3 2 5 2 0 -> 3 4 3 0 2 4 5 0 5 0 , 15.50/4.17 5 3 0 2 2 -> 5 3 0 0 0 4 1 0 0 0 , 15.50/4.17 0 3 1 0 5 4 -> 0 0 4 5 2 1 2 0 1 5 , 15.50/4.17 0 3 2 4 2 5 -> 0 3 2 5 1 0 4 0 4 0 , 15.50/4.17 0 5 0 2 2 4 -> 4 5 0 0 5 1 5 1 1 4 , 15.50/4.17 2 0 5 3 2 2 -> 4 3 0 0 1 1 2 0 5 0 , 15.50/4.17 2 5 2 1 4 0 -> 1 4 5 5 1 1 0 0 2 0 , 15.50/4.17 4 0 2 0 5 1 -> 0 2 5 1 1 1 4 3 1 5 , 15.50/4.17 4 1 2 5 5 2 -> 4 2 3 0 0 0 0 1 0 3 , 15.50/4.17 5 4 2 2 1 5 -> 4 0 1 0 1 5 5 2 2 5 , 15.50/4.17 0 2 2 0 1 2 0 -> 0 4 3 4 2 3 5 4 0 0 , 15.50/4.17 0 3 0 2 1 5 3 -> 0 4 5 1 3 0 0 0 5 0 , 15.50/4.17 0 3 0 2 4 2 4 -> 4 5 0 1 2 1 4 4 2 4 , 15.50/4.17 0 3 2 3 5 5 3 -> 0 3 3 4 1 3 2 5 5 3 , 15.50/4.17 0 3 2 5 0 5 4 -> 4 5 0 0 5 4 1 4 0 1 , 15.50/4.17 1 0 2 1 0 3 5 -> 1 0 0 0 2 1 1 2 1 5 , 15.50/4.17 1 2 0 5 5 2 4 -> 3 1 3 4 4 2 3 4 4 5 , 15.50/4.17 1 2 1 5 0 3 0 -> 3 4 3 2 1 5 2 0 1 0 , 15.50/4.17 2 0 2 2 5 5 1 -> 3 2 5 4 3 1 4 5 5 0 , 15.50/4.17 2 0 3 0 4 2 2 -> 3 3 2 2 0 1 1 1 3 2 , 15.50/4.17 3 2 1 0 3 1 5 -> 1 1 3 1 3 0 2 4 2 5 , 15.50/4.17 4 0 5 2 0 2 0 -> 4 0 4 4 2 0 0 1 0 0 , 15.50/4.17 4 2 0 2 5 3 2 -> 1 4 3 4 0 5 5 5 4 1 , 15.50/4.17 5 3 0 4 2 2 5 -> 5 1 2 0 5 0 1 5 0 5 } 15.50/4.17 15.50/4.17 15.50/4.17 The system was filtered by the following matrix interpretation 15.50/4.17 of type E_J with J = {1,...,2} and dimension 8: 15.50/4.17 15.50/4.17 0 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 0 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 1 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 2 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 1 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 1 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 1 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 1 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 0 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 3 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 0 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 1 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 5 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 0 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 1 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 4 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 1 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 15.50/4.17 Remains to prove termination of the 32-rule system 15.50/4.17 { 0 2 2 0 -> 0 0 1 0 3 5 5 1 3 0 , 15.50/4.17 0 3 2 1 -> 0 0 0 0 0 0 0 2 3 3 , 15.50/4.17 2 0 5 0 -> 1 2 4 2 5 4 5 5 0 0 , 15.50/4.17 2 0 5 2 -> 1 4 3 4 0 3 3 0 0 3 , 15.50/4.17 0 2 0 5 2 -> 0 4 5 3 0 4 0 1 2 5 , 15.50/4.17 0 2 4 0 5 -> 1 0 4 1 0 3 3 4 0 5 , 15.50/4.17 0 3 0 5 2 -> 0 1 0 1 1 0 0 5 3 4 , 15.50/4.17 2 5 2 5 5 -> 2 2 4 0 1 1 4 5 0 5 , 15.50/4.17 3 2 0 1 2 -> 3 4 3 3 3 3 2 3 4 4 , 15.50/4.17 3 2 5 2 0 -> 3 4 3 0 2 4 5 0 5 0 , 15.50/4.17 5 3 0 2 2 -> 5 3 0 0 0 4 1 0 0 0 , 15.50/4.17 0 3 1 0 5 4 -> 0 0 4 5 2 1 2 0 1 5 , 15.50/4.17 0 3 2 4 2 5 -> 0 3 2 5 1 0 4 0 4 0 , 15.50/4.17 0 5 0 2 2 4 -> 4 5 0 0 5 1 5 1 1 4 , 15.50/4.17 2 0 5 3 2 2 -> 4 3 0 0 1 1 2 0 5 0 , 15.50/4.17 2 5 2 1 4 0 -> 1 4 5 5 1 1 0 0 2 0 , 15.50/4.17 4 0 2 0 5 1 -> 0 2 5 1 1 1 4 3 1 5 , 15.50/4.17 4 1 2 5 5 2 -> 4 2 3 0 0 0 0 1 0 3 , 15.50/4.17 5 4 2 2 1 5 -> 4 0 1 0 1 5 5 2 2 5 , 15.50/4.17 0 2 2 0 1 2 0 -> 0 4 3 4 2 3 5 4 0 0 , 15.50/4.17 0 3 0 2 1 5 3 -> 0 4 5 1 3 0 0 0 5 0 , 15.50/4.17 0 3 0 2 4 2 4 -> 4 5 0 1 2 1 4 4 2 4 , 15.50/4.17 0 3 2 3 5 5 3 -> 0 3 3 4 1 3 2 5 5 3 , 15.50/4.17 0 3 2 5 0 5 4 -> 4 5 0 0 5 4 1 4 0 1 , 15.50/4.17 1 0 2 1 0 3 5 -> 1 0 0 0 2 1 1 2 1 5 , 15.50/4.17 1 2 0 5 5 2 4 -> 3 1 3 4 4 2 3 4 4 5 , 15.50/4.17 1 2 1 5 0 3 0 -> 3 4 3 2 1 5 2 0 1 0 , 15.50/4.17 2 0 2 2 5 5 1 -> 3 2 5 4 3 1 4 5 5 0 , 15.50/4.17 2 0 3 0 4 2 2 -> 3 3 2 2 0 1 1 1 3 2 , 15.50/4.17 3 2 1 0 3 1 5 -> 1 1 3 1 3 0 2 4 2 5 , 15.50/4.17 4 0 5 2 0 2 0 -> 4 0 4 4 2 0 0 1 0 0 , 15.50/4.17 5 3 0 4 2 2 5 -> 5 1 2 0 5 0 1 5 0 5 } 15.50/4.17 15.50/4.17 15.50/4.17 The system was filtered by the following matrix interpretation 15.50/4.17 of type E_J with J = {1,...,2} and dimension 7: 15.50/4.17 15.50/4.17 0 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 2 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 1 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 1 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 1 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 | 15.50/4.17 | 0 0 0 1 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 3 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 5 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 1 0 | 15.50/4.17 | 0 0 0 0 0 0 1 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 4 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 1 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 15.50/4.17 Remains to prove termination of the 31-rule system 15.50/4.17 { 0 2 2 0 -> 0 0 1 0 3 5 5 1 3 0 , 15.50/4.17 0 3 2 1 -> 0 0 0 0 0 0 0 2 3 3 , 15.50/4.17 2 0 5 0 -> 1 2 4 2 5 4 5 5 0 0 , 15.50/4.17 2 0 5 2 -> 1 4 3 4 0 3 3 0 0 3 , 15.50/4.17 0 2 0 5 2 -> 0 4 5 3 0 4 0 1 2 5 , 15.50/4.17 0 2 4 0 5 -> 1 0 4 1 0 3 3 4 0 5 , 15.50/4.17 0 3 0 5 2 -> 0 1 0 1 1 0 0 5 3 4 , 15.50/4.17 2 5 2 5 5 -> 2 2 4 0 1 1 4 5 0 5 , 15.50/4.17 3 2 0 1 2 -> 3 4 3 3 3 3 2 3 4 4 , 15.50/4.17 3 2 5 2 0 -> 3 4 3 0 2 4 5 0 5 0 , 15.50/4.17 5 3 0 2 2 -> 5 3 0 0 0 4 1 0 0 0 , 15.50/4.17 0 3 1 0 5 4 -> 0 0 4 5 2 1 2 0 1 5 , 15.50/4.17 0 3 2 4 2 5 -> 0 3 2 5 1 0 4 0 4 0 , 15.50/4.17 0 5 0 2 2 4 -> 4 5 0 0 5 1 5 1 1 4 , 15.50/4.17 2 0 5 3 2 2 -> 4 3 0 0 1 1 2 0 5 0 , 15.50/4.17 2 5 2 1 4 0 -> 1 4 5 5 1 1 0 0 2 0 , 15.50/4.17 4 0 2 0 5 1 -> 0 2 5 1 1 1 4 3 1 5 , 15.50/4.17 5 4 2 2 1 5 -> 4 0 1 0 1 5 5 2 2 5 , 15.50/4.17 0 2 2 0 1 2 0 -> 0 4 3 4 2 3 5 4 0 0 , 15.50/4.17 0 3 0 2 1 5 3 -> 0 4 5 1 3 0 0 0 5 0 , 15.50/4.17 0 3 0 2 4 2 4 -> 4 5 0 1 2 1 4 4 2 4 , 15.50/4.17 0 3 2 3 5 5 3 -> 0 3 3 4 1 3 2 5 5 3 , 15.50/4.17 0 3 2 5 0 5 4 -> 4 5 0 0 5 4 1 4 0 1 , 15.50/4.17 1 0 2 1 0 3 5 -> 1 0 0 0 2 1 1 2 1 5 , 15.50/4.17 1 2 0 5 5 2 4 -> 3 1 3 4 4 2 3 4 4 5 , 15.50/4.17 1 2 1 5 0 3 0 -> 3 4 3 2 1 5 2 0 1 0 , 15.50/4.17 2 0 2 2 5 5 1 -> 3 2 5 4 3 1 4 5 5 0 , 15.50/4.17 2 0 3 0 4 2 2 -> 3 3 2 2 0 1 1 1 3 2 , 15.50/4.17 3 2 1 0 3 1 5 -> 1 1 3 1 3 0 2 4 2 5 , 15.50/4.17 4 0 5 2 0 2 0 -> 4 0 4 4 2 0 0 1 0 0 , 15.50/4.17 5 3 0 4 2 2 5 -> 5 1 2 0 5 0 1 5 0 5 } 15.50/4.17 15.50/4.17 15.50/4.17 The system was filtered by the following matrix interpretation 15.50/4.17 of type E_J with J = {1,...,2} and dimension 8: 15.50/4.17 15.50/4.17 0 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 0 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 1 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 2 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 1 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 1 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 1 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 0 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 0 | 15.50/4.17 | 0 0 1 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 1 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 1 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 3 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 1 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 1 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 5 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 0 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 4 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 0 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 15.50/4.17 Remains to prove termination of the 30-rule system 15.50/4.17 { 0 2 2 0 -> 0 0 1 0 3 5 5 1 3 0 , 15.50/4.17 0 3 2 1 -> 0 0 0 0 0 0 0 2 3 3 , 15.50/4.17 2 0 5 0 -> 1 2 4 2 5 4 5 5 0 0 , 15.50/4.17 2 0 5 2 -> 1 4 3 4 0 3 3 0 0 3 , 15.50/4.17 0 2 0 5 2 -> 0 4 5 3 0 4 0 1 2 5 , 15.50/4.17 0 2 4 0 5 -> 1 0 4 1 0 3 3 4 0 5 , 15.50/4.17 0 3 0 5 2 -> 0 1 0 1 1 0 0 5 3 4 , 15.50/4.17 2 5 2 5 5 -> 2 2 4 0 1 1 4 5 0 5 , 15.50/4.17 3 2 0 1 2 -> 3 4 3 3 3 3 2 3 4 4 , 15.50/4.17 3 2 5 2 0 -> 3 4 3 0 2 4 5 0 5 0 , 15.50/4.17 5 3 0 2 2 -> 5 3 0 0 0 4 1 0 0 0 , 15.50/4.17 0 3 1 0 5 4 -> 0 0 4 5 2 1 2 0 1 5 , 15.50/4.17 0 3 2 4 2 5 -> 0 3 2 5 1 0 4 0 4 0 , 15.50/4.17 0 5 0 2 2 4 -> 4 5 0 0 5 1 5 1 1 4 , 15.50/4.17 2 0 5 3 2 2 -> 4 3 0 0 1 1 2 0 5 0 , 15.50/4.17 2 5 2 1 4 0 -> 1 4 5 5 1 1 0 0 2 0 , 15.50/4.17 4 0 2 0 5 1 -> 0 2 5 1 1 1 4 3 1 5 , 15.50/4.17 5 4 2 2 1 5 -> 4 0 1 0 1 5 5 2 2 5 , 15.50/4.17 0 2 2 0 1 2 0 -> 0 4 3 4 2 3 5 4 0 0 , 15.50/4.17 0 3 0 2 1 5 3 -> 0 4 5 1 3 0 0 0 5 0 , 15.50/4.17 0 3 0 2 4 2 4 -> 4 5 0 1 2 1 4 4 2 4 , 15.50/4.17 0 3 2 3 5 5 3 -> 0 3 3 4 1 3 2 5 5 3 , 15.50/4.17 0 3 2 5 0 5 4 -> 4 5 0 0 5 4 1 4 0 1 , 15.50/4.17 1 0 2 1 0 3 5 -> 1 0 0 0 2 1 1 2 1 5 , 15.50/4.17 1 2 0 5 5 2 4 -> 3 1 3 4 4 2 3 4 4 5 , 15.50/4.17 1 2 1 5 0 3 0 -> 3 4 3 2 1 5 2 0 1 0 , 15.50/4.17 2 0 2 2 5 5 1 -> 3 2 5 4 3 1 4 5 5 0 , 15.50/4.17 2 0 3 0 4 2 2 -> 3 3 2 2 0 1 1 1 3 2 , 15.50/4.17 4 0 5 2 0 2 0 -> 4 0 4 4 2 0 0 1 0 0 , 15.50/4.17 5 3 0 4 2 2 5 -> 5 1 2 0 5 0 1 5 0 5 } 15.50/4.17 15.50/4.17 15.50/4.17 The system was filtered by the following matrix interpretation 15.50/4.17 of type E_J with J = {1,...,2} and dimension 6: 15.50/4.17 15.50/4.17 0 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 2 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 1 1 0 0 | 15.50/4.17 | 0 1 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 1 0 | 15.50/4.17 | 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 1 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 | 15.50/4.17 | 0 0 1 0 1 0 | 15.50/4.17 | 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 3 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 5 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 | 15.50/4.17 | 0 0 0 1 0 0 | 15.50/4.17 | 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 1 | 15.50/4.17 | 0 1 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 4 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 15.50/4.17 Remains to prove termination of the 28-rule system 15.50/4.17 { 0 2 2 0 -> 0 0 1 0 3 5 5 1 3 0 , 15.50/4.17 0 3 2 1 -> 0 0 0 0 0 0 0 2 3 3 , 15.50/4.17 2 0 5 0 -> 1 2 4 2 5 4 5 5 0 0 , 15.50/4.17 2 0 5 2 -> 1 4 3 4 0 3 3 0 0 3 , 15.50/4.17 0 2 0 5 2 -> 0 4 5 3 0 4 0 1 2 5 , 15.50/4.17 0 2 4 0 5 -> 1 0 4 1 0 3 3 4 0 5 , 15.50/4.17 0 3 0 5 2 -> 0 1 0 1 1 0 0 5 3 4 , 15.50/4.17 3 2 0 1 2 -> 3 4 3 3 3 3 2 3 4 4 , 15.50/4.17 3 2 5 2 0 -> 3 4 3 0 2 4 5 0 5 0 , 15.50/4.17 5 3 0 2 2 -> 5 3 0 0 0 4 1 0 0 0 , 15.50/4.17 0 3 1 0 5 4 -> 0 0 4 5 2 1 2 0 1 5 , 15.50/4.17 0 3 2 4 2 5 -> 0 3 2 5 1 0 4 0 4 0 , 15.50/4.17 0 5 0 2 2 4 -> 4 5 0 0 5 1 5 1 1 4 , 15.50/4.17 2 0 5 3 2 2 -> 4 3 0 0 1 1 2 0 5 0 , 15.50/4.17 2 5 2 1 4 0 -> 1 4 5 5 1 1 0 0 2 0 , 15.50/4.17 4 0 2 0 5 1 -> 0 2 5 1 1 1 4 3 1 5 , 15.50/4.17 5 4 2 2 1 5 -> 4 0 1 0 1 5 5 2 2 5 , 15.50/4.17 0 2 2 0 1 2 0 -> 0 4 3 4 2 3 5 4 0 0 , 15.50/4.17 0 3 0 2 1 5 3 -> 0 4 5 1 3 0 0 0 5 0 , 15.50/4.17 0 3 0 2 4 2 4 -> 4 5 0 1 2 1 4 4 2 4 , 15.50/4.17 0 3 2 3 5 5 3 -> 0 3 3 4 1 3 2 5 5 3 , 15.50/4.17 0 3 2 5 0 5 4 -> 4 5 0 0 5 4 1 4 0 1 , 15.50/4.17 1 0 2 1 0 3 5 -> 1 0 0 0 2 1 1 2 1 5 , 15.50/4.17 1 2 0 5 5 2 4 -> 3 1 3 4 4 2 3 4 4 5 , 15.50/4.17 1 2 1 5 0 3 0 -> 3 4 3 2 1 5 2 0 1 0 , 15.50/4.17 2 0 3 0 4 2 2 -> 3 3 2 2 0 1 1 1 3 2 , 15.50/4.17 4 0 5 2 0 2 0 -> 4 0 4 4 2 0 0 1 0 0 , 15.50/4.17 5 3 0 4 2 2 5 -> 5 1 2 0 5 0 1 5 0 5 } 15.50/4.17 15.50/4.17 15.50/4.17 The system was filtered by the following matrix interpretation 15.50/4.17 of type E_J with J = {1,...,2} and dimension 12: 15.50/4.17 15.50/4.17 0 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 1 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 1 0 0 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 2 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 1 0 0 0 0 1 1 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 1 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 1 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 1 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 1 0 0 1 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 3 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 1 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 5 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 1 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 1 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 4 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 1 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 15.50/4.17 Remains to prove termination of the 27-rule system 15.50/4.17 { 0 2 2 0 -> 0 0 1 0 3 5 5 1 3 0 , 15.50/4.17 0 3 2 1 -> 0 0 0 0 0 0 0 2 3 3 , 15.50/4.17 2 0 5 0 -> 1 2 4 2 5 4 5 5 0 0 , 15.50/4.17 2 0 5 2 -> 1 4 3 4 0 3 3 0 0 3 , 15.50/4.17 0 2 0 5 2 -> 0 4 5 3 0 4 0 1 2 5 , 15.50/4.17 0 2 4 0 5 -> 1 0 4 1 0 3 3 4 0 5 , 15.50/4.17 0 3 0 5 2 -> 0 1 0 1 1 0 0 5 3 4 , 15.50/4.17 3 2 0 1 2 -> 3 4 3 3 3 3 2 3 4 4 , 15.50/4.17 3 2 5 2 0 -> 3 4 3 0 2 4 5 0 5 0 , 15.50/4.17 5 3 0 2 2 -> 5 3 0 0 0 4 1 0 0 0 , 15.50/4.17 0 3 1 0 5 4 -> 0 0 4 5 2 1 2 0 1 5 , 15.50/4.17 0 3 2 4 2 5 -> 0 3 2 5 1 0 4 0 4 0 , 15.50/4.17 0 5 0 2 2 4 -> 4 5 0 0 5 1 5 1 1 4 , 15.50/4.17 2 5 2 1 4 0 -> 1 4 5 5 1 1 0 0 2 0 , 15.50/4.17 4 0 2 0 5 1 -> 0 2 5 1 1 1 4 3 1 5 , 15.50/4.17 5 4 2 2 1 5 -> 4 0 1 0 1 5 5 2 2 5 , 15.50/4.17 0 2 2 0 1 2 0 -> 0 4 3 4 2 3 5 4 0 0 , 15.50/4.17 0 3 0 2 1 5 3 -> 0 4 5 1 3 0 0 0 5 0 , 15.50/4.17 0 3 0 2 4 2 4 -> 4 5 0 1 2 1 4 4 2 4 , 15.50/4.17 0 3 2 3 5 5 3 -> 0 3 3 4 1 3 2 5 5 3 , 15.50/4.17 0 3 2 5 0 5 4 -> 4 5 0 0 5 4 1 4 0 1 , 15.50/4.17 1 0 2 1 0 3 5 -> 1 0 0 0 2 1 1 2 1 5 , 15.50/4.17 1 2 0 5 5 2 4 -> 3 1 3 4 4 2 3 4 4 5 , 15.50/4.17 1 2 1 5 0 3 0 -> 3 4 3 2 1 5 2 0 1 0 , 15.50/4.17 2 0 3 0 4 2 2 -> 3 3 2 2 0 1 1 1 3 2 , 15.50/4.17 4 0 5 2 0 2 0 -> 4 0 4 4 2 0 0 1 0 0 , 15.50/4.17 5 3 0 4 2 2 5 -> 5 1 2 0 5 0 1 5 0 5 } 15.50/4.17 15.50/4.17 15.50/4.17 The system was filtered by the following matrix interpretation 15.50/4.17 of type E_J with J = {1,...,2} and dimension 10: 15.50/4.17 15.50/4.17 0 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 1 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 1 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 2 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 1 0 0 1 1 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 1 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 1 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 1 0 0 1 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 3 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 5 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 1 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 1 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 4 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 1 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 15.50/4.17 Remains to prove termination of the 25-rule system 15.50/4.17 { 0 2 2 0 -> 0 0 1 0 3 5 5 1 3 0 , 15.50/4.17 0 3 2 1 -> 0 0 0 0 0 0 0 2 3 3 , 15.50/4.17 2 0 5 0 -> 1 2 4 2 5 4 5 5 0 0 , 15.50/4.17 0 2 4 0 5 -> 1 0 4 1 0 3 3 4 0 5 , 15.50/4.17 0 3 0 5 2 -> 0 1 0 1 1 0 0 5 3 4 , 15.50/4.17 3 2 0 1 2 -> 3 4 3 3 3 3 2 3 4 4 , 15.50/4.17 3 2 5 2 0 -> 3 4 3 0 2 4 5 0 5 0 , 15.50/4.17 5 3 0 2 2 -> 5 3 0 0 0 4 1 0 0 0 , 15.50/4.17 0 3 1 0 5 4 -> 0 0 4 5 2 1 2 0 1 5 , 15.50/4.17 0 3 2 4 2 5 -> 0 3 2 5 1 0 4 0 4 0 , 15.50/4.17 0 5 0 2 2 4 -> 4 5 0 0 5 1 5 1 1 4 , 15.50/4.17 2 5 2 1 4 0 -> 1 4 5 5 1 1 0 0 2 0 , 15.50/4.17 4 0 2 0 5 1 -> 0 2 5 1 1 1 4 3 1 5 , 15.50/4.17 5 4 2 2 1 5 -> 4 0 1 0 1 5 5 2 2 5 , 15.50/4.17 0 2 2 0 1 2 0 -> 0 4 3 4 2 3 5 4 0 0 , 15.50/4.17 0 3 0 2 1 5 3 -> 0 4 5 1 3 0 0 0 5 0 , 15.50/4.17 0 3 0 2 4 2 4 -> 4 5 0 1 2 1 4 4 2 4 , 15.50/4.17 0 3 2 3 5 5 3 -> 0 3 3 4 1 3 2 5 5 3 , 15.50/4.17 0 3 2 5 0 5 4 -> 4 5 0 0 5 4 1 4 0 1 , 15.50/4.17 1 0 2 1 0 3 5 -> 1 0 0 0 2 1 1 2 1 5 , 15.50/4.17 1 2 0 5 5 2 4 -> 3 1 3 4 4 2 3 4 4 5 , 15.50/4.17 1 2 1 5 0 3 0 -> 3 4 3 2 1 5 2 0 1 0 , 15.50/4.17 2 0 3 0 4 2 2 -> 3 3 2 2 0 1 1 1 3 2 , 15.50/4.17 4 0 5 2 0 2 0 -> 4 0 4 4 2 0 0 1 0 0 , 15.50/4.17 5 3 0 4 2 2 5 -> 5 1 2 0 5 0 1 5 0 5 } 15.50/4.17 15.50/4.17 15.50/4.17 The system was filtered by the following matrix interpretation 15.50/4.17 of type E_J with J = {1,...,2} and dimension 13: 15.50/4.17 15.50/4.17 0 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 2 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 1 0 0 0 0 0 1 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 1 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 3 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 0 0 0 0 0 0 1 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 5 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 4 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 15.50/4.17 Remains to prove termination of the 24-rule system 15.50/4.17 { 0 2 2 0 -> 0 0 1 0 3 5 5 1 3 0 , 15.50/4.17 0 3 2 1 -> 0 0 0 0 0 0 0 2 3 3 , 15.50/4.17 2 0 5 0 -> 1 2 4 2 5 4 5 5 0 0 , 15.50/4.17 0 2 4 0 5 -> 1 0 4 1 0 3 3 4 0 5 , 15.50/4.17 0 3 0 5 2 -> 0 1 0 1 1 0 0 5 3 4 , 15.50/4.17 3 2 0 1 2 -> 3 4 3 3 3 3 2 3 4 4 , 15.50/4.17 3 2 5 2 0 -> 3 4 3 0 2 4 5 0 5 0 , 15.50/4.17 5 3 0 2 2 -> 5 3 0 0 0 4 1 0 0 0 , 15.50/4.17 0 3 1 0 5 4 -> 0 0 4 5 2 1 2 0 1 5 , 15.50/4.17 0 3 2 4 2 5 -> 0 3 2 5 1 0 4 0 4 0 , 15.50/4.17 0 5 0 2 2 4 -> 4 5 0 0 5 1 5 1 1 4 , 15.50/4.17 2 5 2 1 4 0 -> 1 4 5 5 1 1 0 0 2 0 , 15.50/4.17 4 0 2 0 5 1 -> 0 2 5 1 1 1 4 3 1 5 , 15.50/4.17 5 4 2 2 1 5 -> 4 0 1 0 1 5 5 2 2 5 , 15.50/4.17 0 2 2 0 1 2 0 -> 0 4 3 4 2 3 5 4 0 0 , 15.50/4.17 0 3 0 2 1 5 3 -> 0 4 5 1 3 0 0 0 5 0 , 15.50/4.17 0 3 0 2 4 2 4 -> 4 5 0 1 2 1 4 4 2 4 , 15.50/4.17 0 3 2 3 5 5 3 -> 0 3 3 4 1 3 2 5 5 3 , 15.50/4.17 0 3 2 5 0 5 4 -> 4 5 0 0 5 4 1 4 0 1 , 15.50/4.17 1 0 2 1 0 3 5 -> 1 0 0 0 2 1 1 2 1 5 , 15.50/4.17 1 2 0 5 5 2 4 -> 3 1 3 4 4 2 3 4 4 5 , 15.50/4.17 1 2 1 5 0 3 0 -> 3 4 3 2 1 5 2 0 1 0 , 15.50/4.17 4 0 5 2 0 2 0 -> 4 0 4 4 2 0 0 1 0 0 , 15.50/4.17 5 3 0 4 2 2 5 -> 5 1 2 0 5 0 1 5 0 5 } 15.50/4.17 15.50/4.17 15.50/4.17 The system was filtered by the following matrix interpretation 15.50/4.17 of type E_J with J = {1,...,2} and dimension 6: 15.50/4.17 15.50/4.17 0 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 1 0 | 15.50/4.17 | 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 2 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 | 15.50/4.17 | 0 0 0 1 0 0 | 15.50/4.17 | 0 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 1 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 | 15.50/4.17 | 0 0 1 0 0 0 | 15.50/4.17 | 0 0 0 0 0 1 | 15.50/4.17 | 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 3 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 1 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 5 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 4 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 1 0 0 | 15.50/4.17 | 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 15.50/4.17 Remains to prove termination of the 23-rule system 15.50/4.17 { 0 2 2 0 -> 0 0 1 0 3 5 5 1 3 0 , 15.50/4.17 0 3 2 1 -> 0 0 0 0 0 0 0 2 3 3 , 15.50/4.17 2 0 5 0 -> 1 2 4 2 5 4 5 5 0 0 , 15.50/4.17 0 2 4 0 5 -> 1 0 4 1 0 3 3 4 0 5 , 15.50/4.17 0 3 0 5 2 -> 0 1 0 1 1 0 0 5 3 4 , 15.50/4.17 3 2 5 2 0 -> 3 4 3 0 2 4 5 0 5 0 , 15.50/4.17 5 3 0 2 2 -> 5 3 0 0 0 4 1 0 0 0 , 15.50/4.17 0 3 1 0 5 4 -> 0 0 4 5 2 1 2 0 1 5 , 15.50/4.17 0 3 2 4 2 5 -> 0 3 2 5 1 0 4 0 4 0 , 15.50/4.17 0 5 0 2 2 4 -> 4 5 0 0 5 1 5 1 1 4 , 15.50/4.17 2 5 2 1 4 0 -> 1 4 5 5 1 1 0 0 2 0 , 15.50/4.17 4 0 2 0 5 1 -> 0 2 5 1 1 1 4 3 1 5 , 15.50/4.17 5 4 2 2 1 5 -> 4 0 1 0 1 5 5 2 2 5 , 15.50/4.17 0 2 2 0 1 2 0 -> 0 4 3 4 2 3 5 4 0 0 , 15.50/4.17 0 3 0 2 1 5 3 -> 0 4 5 1 3 0 0 0 5 0 , 15.50/4.17 0 3 0 2 4 2 4 -> 4 5 0 1 2 1 4 4 2 4 , 15.50/4.17 0 3 2 3 5 5 3 -> 0 3 3 4 1 3 2 5 5 3 , 15.50/4.17 0 3 2 5 0 5 4 -> 4 5 0 0 5 4 1 4 0 1 , 15.50/4.17 1 0 2 1 0 3 5 -> 1 0 0 0 2 1 1 2 1 5 , 15.50/4.17 1 2 0 5 5 2 4 -> 3 1 3 4 4 2 3 4 4 5 , 15.50/4.17 1 2 1 5 0 3 0 -> 3 4 3 2 1 5 2 0 1 0 , 15.50/4.17 4 0 5 2 0 2 0 -> 4 0 4 4 2 0 0 1 0 0 , 15.50/4.17 5 3 0 4 2 2 5 -> 5 1 2 0 5 0 1 5 0 5 } 15.50/4.17 15.50/4.17 15.50/4.17 The system was filtered by the following matrix interpretation 15.50/4.17 of type E_J with J = {1,...,2} and dimension 6: 15.50/4.17 15.50/4.17 0 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 2 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 | 15.50/4.17 | 0 0 0 1 0 0 | 15.50/4.17 | 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 1 | 15.50/4.17 | 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 1 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 | 15.50/4.17 | 0 0 1 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 3 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 1 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 5 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 1 0 | 15.50/4.17 | 0 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 4 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 15.50/4.17 Remains to prove termination of the 22-rule system 15.50/4.17 { 0 2 2 0 -> 0 0 1 0 3 5 5 1 3 0 , 15.50/4.17 0 3 2 1 -> 0 0 0 0 0 0 0 2 3 3 , 15.50/4.17 2 0 5 0 -> 1 2 4 2 5 4 5 5 0 0 , 15.50/4.17 0 2 4 0 5 -> 1 0 4 1 0 3 3 4 0 5 , 15.50/4.17 0 3 0 5 2 -> 0 1 0 1 1 0 0 5 3 4 , 15.50/4.17 5 3 0 2 2 -> 5 3 0 0 0 4 1 0 0 0 , 15.50/4.17 0 3 1 0 5 4 -> 0 0 4 5 2 1 2 0 1 5 , 15.50/4.17 0 3 2 4 2 5 -> 0 3 2 5 1 0 4 0 4 0 , 15.50/4.17 0 5 0 2 2 4 -> 4 5 0 0 5 1 5 1 1 4 , 15.50/4.17 2 5 2 1 4 0 -> 1 4 5 5 1 1 0 0 2 0 , 15.50/4.17 4 0 2 0 5 1 -> 0 2 5 1 1 1 4 3 1 5 , 15.50/4.17 5 4 2 2 1 5 -> 4 0 1 0 1 5 5 2 2 5 , 15.50/4.17 0 2 2 0 1 2 0 -> 0 4 3 4 2 3 5 4 0 0 , 15.50/4.17 0 3 0 2 1 5 3 -> 0 4 5 1 3 0 0 0 5 0 , 15.50/4.17 0 3 0 2 4 2 4 -> 4 5 0 1 2 1 4 4 2 4 , 15.50/4.17 0 3 2 3 5 5 3 -> 0 3 3 4 1 3 2 5 5 3 , 15.50/4.17 0 3 2 5 0 5 4 -> 4 5 0 0 5 4 1 4 0 1 , 15.50/4.17 1 0 2 1 0 3 5 -> 1 0 0 0 2 1 1 2 1 5 , 15.50/4.17 1 2 0 5 5 2 4 -> 3 1 3 4 4 2 3 4 4 5 , 15.50/4.17 1 2 1 5 0 3 0 -> 3 4 3 2 1 5 2 0 1 0 , 15.50/4.17 4 0 5 2 0 2 0 -> 4 0 4 4 2 0 0 1 0 0 , 15.50/4.17 5 3 0 4 2 2 5 -> 5 1 2 0 5 0 1 5 0 5 } 15.50/4.17 15.50/4.17 15.50/4.17 The system was filtered by the following matrix interpretation 15.50/4.17 of type E_J with J = {1,...,2} and dimension 8: 15.50/4.17 15.50/4.17 0 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 0 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 1 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 2 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 1 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 1 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 1 0 | 15.50/4.17 | 0 0 0 0 0 0 0 1 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 1 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 1 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 3 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 0 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 1 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 5 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 1 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 4 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 1 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 1 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 15.50/4.17 Remains to prove termination of the 21-rule system 15.50/4.17 { 0 2 2 0 -> 0 0 1 0 3 5 5 1 3 0 , 15.50/4.17 0 3 2 1 -> 0 0 0 0 0 0 0 2 3 3 , 15.50/4.17 2 0 5 0 -> 1 2 4 2 5 4 5 5 0 0 , 15.50/4.17 0 2 4 0 5 -> 1 0 4 1 0 3 3 4 0 5 , 15.50/4.17 0 3 0 5 2 -> 0 1 0 1 1 0 0 5 3 4 , 15.50/4.17 5 3 0 2 2 -> 5 3 0 0 0 4 1 0 0 0 , 15.50/4.17 0 3 1 0 5 4 -> 0 0 4 5 2 1 2 0 1 5 , 15.50/4.17 0 3 2 4 2 5 -> 0 3 2 5 1 0 4 0 4 0 , 15.50/4.17 0 5 0 2 2 4 -> 4 5 0 0 5 1 5 1 1 4 , 15.50/4.17 2 5 2 1 4 0 -> 1 4 5 5 1 1 0 0 2 0 , 15.50/4.17 4 0 2 0 5 1 -> 0 2 5 1 1 1 4 3 1 5 , 15.50/4.17 5 4 2 2 1 5 -> 4 0 1 0 1 5 5 2 2 5 , 15.50/4.17 0 2 2 0 1 2 0 -> 0 4 3 4 2 3 5 4 0 0 , 15.50/4.17 0 3 0 2 1 5 3 -> 0 4 5 1 3 0 0 0 5 0 , 15.50/4.17 0 3 0 2 4 2 4 -> 4 5 0 1 2 1 4 4 2 4 , 15.50/4.17 0 3 2 3 5 5 3 -> 0 3 3 4 1 3 2 5 5 3 , 15.50/4.17 0 3 2 5 0 5 4 -> 4 5 0 0 5 4 1 4 0 1 , 15.50/4.17 1 0 2 1 0 3 5 -> 1 0 0 0 2 1 1 2 1 5 , 15.50/4.17 1 2 0 5 5 2 4 -> 3 1 3 4 4 2 3 4 4 5 , 15.50/4.17 1 2 1 5 0 3 0 -> 3 4 3 2 1 5 2 0 1 0 , 15.50/4.17 4 0 5 2 0 2 0 -> 4 0 4 4 2 0 0 1 0 0 } 15.50/4.17 15.50/4.17 15.50/4.17 The system was filtered by the following matrix interpretation 15.50/4.17 of type E_J with J = {1,...,2} and dimension 10: 15.50/4.17 15.50/4.17 0 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 1 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 1 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 2 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 1 0 0 1 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 1 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 1 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 1 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 1 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 3 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 0 0 0 1 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 5 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 1 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 1 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 4 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 1 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 15.50/4.17 Remains to prove termination of the 19-rule system 15.50/4.17 { 0 2 2 0 -> 0 0 1 0 3 5 5 1 3 0 , 15.50/4.17 0 3 2 1 -> 0 0 0 0 0 0 0 2 3 3 , 15.50/4.17 0 2 4 0 5 -> 1 0 4 1 0 3 3 4 0 5 , 15.50/4.17 0 3 0 5 2 -> 0 1 0 1 1 0 0 5 3 4 , 15.50/4.17 5 3 0 2 2 -> 5 3 0 0 0 4 1 0 0 0 , 15.50/4.17 0 3 1 0 5 4 -> 0 0 4 5 2 1 2 0 1 5 , 15.50/4.17 0 3 2 4 2 5 -> 0 3 2 5 1 0 4 0 4 0 , 15.50/4.17 0 5 0 2 2 4 -> 4 5 0 0 5 1 5 1 1 4 , 15.50/4.17 2 5 2 1 4 0 -> 1 4 5 5 1 1 0 0 2 0 , 15.50/4.17 4 0 2 0 5 1 -> 0 2 5 1 1 1 4 3 1 5 , 15.50/4.17 5 4 2 2 1 5 -> 4 0 1 0 1 5 5 2 2 5 , 15.50/4.17 0 2 2 0 1 2 0 -> 0 4 3 4 2 3 5 4 0 0 , 15.50/4.17 0 3 0 2 1 5 3 -> 0 4 5 1 3 0 0 0 5 0 , 15.50/4.17 0 3 0 2 4 2 4 -> 4 5 0 1 2 1 4 4 2 4 , 15.50/4.17 0 3 2 3 5 5 3 -> 0 3 3 4 1 3 2 5 5 3 , 15.50/4.17 0 3 2 5 0 5 4 -> 4 5 0 0 5 4 1 4 0 1 , 15.50/4.17 1 0 2 1 0 3 5 -> 1 0 0 0 2 1 1 2 1 5 , 15.50/4.17 1 2 1 5 0 3 0 -> 3 4 3 2 1 5 2 0 1 0 , 15.50/4.17 4 0 5 2 0 2 0 -> 4 0 4 4 2 0 0 1 0 0 } 15.50/4.17 15.50/4.17 15.50/4.17 The system was filtered by the following matrix interpretation 15.50/4.17 of type E_J with J = {1,...,2} and dimension 6: 15.50/4.17 15.50/4.17 0 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 1 0 | 15.50/4.17 | 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 2 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 1 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 | 15.50/4.17 | 0 0 0 1 0 0 | 15.50/4.17 | 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 1 | 15.50/4.17 | 0 1 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 1 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 1 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 3 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 | 15.50/4.17 | 0 0 0 1 0 0 | 15.50/4.17 | 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 5 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 1 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 4 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 1 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 15.50/4.17 Remains to prove termination of the 18-rule system 15.50/4.17 { 0 2 2 0 -> 0 0 1 0 3 5 5 1 3 0 , 15.50/4.17 0 3 2 1 -> 0 0 0 0 0 0 0 2 3 3 , 15.50/4.17 0 2 4 0 5 -> 1 0 4 1 0 3 3 4 0 5 , 15.50/4.17 0 3 0 5 2 -> 0 1 0 1 1 0 0 5 3 4 , 15.50/4.17 0 3 1 0 5 4 -> 0 0 4 5 2 1 2 0 1 5 , 15.50/4.17 0 3 2 4 2 5 -> 0 3 2 5 1 0 4 0 4 0 , 15.50/4.17 0 5 0 2 2 4 -> 4 5 0 0 5 1 5 1 1 4 , 15.50/4.17 2 5 2 1 4 0 -> 1 4 5 5 1 1 0 0 2 0 , 15.50/4.17 4 0 2 0 5 1 -> 0 2 5 1 1 1 4 3 1 5 , 15.50/4.17 5 4 2 2 1 5 -> 4 0 1 0 1 5 5 2 2 5 , 15.50/4.17 0 2 2 0 1 2 0 -> 0 4 3 4 2 3 5 4 0 0 , 15.50/4.17 0 3 0 2 1 5 3 -> 0 4 5 1 3 0 0 0 5 0 , 15.50/4.17 0 3 0 2 4 2 4 -> 4 5 0 1 2 1 4 4 2 4 , 15.50/4.17 0 3 2 3 5 5 3 -> 0 3 3 4 1 3 2 5 5 3 , 15.50/4.17 0 3 2 5 0 5 4 -> 4 5 0 0 5 4 1 4 0 1 , 15.50/4.17 1 0 2 1 0 3 5 -> 1 0 0 0 2 1 1 2 1 5 , 15.50/4.17 1 2 1 5 0 3 0 -> 3 4 3 2 1 5 2 0 1 0 , 15.50/4.17 4 0 5 2 0 2 0 -> 4 0 4 4 2 0 0 1 0 0 } 15.50/4.17 15.50/4.17 15.50/4.17 The system was filtered by the following matrix interpretation 15.50/4.17 of type E_J with J = {1,...,2} and dimension 7: 15.50/4.17 15.50/4.17 0 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 2 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 1 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 1 0 0 | 15.50/4.17 | 0 0 0 0 0 1 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 1 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 | 15.50/4.17 | 0 0 1 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 1 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 3 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 5 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 1 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 4 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 1 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 | 15.50/4.17 | 0 0 0 1 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 15.50/4.17 Remains to prove termination of the 17-rule system 15.50/4.17 { 0 2 2 0 -> 0 0 1 0 3 5 5 1 3 0 , 15.50/4.17 0 3 2 1 -> 0 0 0 0 0 0 0 2 3 3 , 15.50/4.17 0 2 4 0 5 -> 1 0 4 1 0 3 3 4 0 5 , 15.50/4.17 0 3 0 5 2 -> 0 1 0 1 1 0 0 5 3 4 , 15.50/4.17 0 3 1 0 5 4 -> 0 0 4 5 2 1 2 0 1 5 , 15.50/4.17 0 3 2 4 2 5 -> 0 3 2 5 1 0 4 0 4 0 , 15.50/4.17 0 5 0 2 2 4 -> 4 5 0 0 5 1 5 1 1 4 , 15.50/4.17 2 5 2 1 4 0 -> 1 4 5 5 1 1 0 0 2 0 , 15.50/4.17 4 0 2 0 5 1 -> 0 2 5 1 1 1 4 3 1 5 , 15.50/4.17 0 2 2 0 1 2 0 -> 0 4 3 4 2 3 5 4 0 0 , 15.50/4.17 0 3 0 2 1 5 3 -> 0 4 5 1 3 0 0 0 5 0 , 15.50/4.17 0 3 0 2 4 2 4 -> 4 5 0 1 2 1 4 4 2 4 , 15.50/4.17 0 3 2 3 5 5 3 -> 0 3 3 4 1 3 2 5 5 3 , 15.50/4.17 0 3 2 5 0 5 4 -> 4 5 0 0 5 4 1 4 0 1 , 15.50/4.17 1 0 2 1 0 3 5 -> 1 0 0 0 2 1 1 2 1 5 , 15.50/4.17 1 2 1 5 0 3 0 -> 3 4 3 2 1 5 2 0 1 0 , 15.50/4.17 4 0 5 2 0 2 0 -> 4 0 4 4 2 0 0 1 0 0 } 15.50/4.17 15.50/4.17 15.50/4.17 The system was filtered by the following matrix interpretation 15.50/4.17 of type E_J with J = {1,...,2} and dimension 7: 15.50/4.17 15.50/4.17 0 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 2 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 1 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 1 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 1 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 1 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 3 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 5 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 | 15.50/4.17 | 0 0 0 1 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 4 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 1 | 15.50/4.17 | 0 1 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 15.50/4.17 Remains to prove termination of the 16-rule system 15.50/4.17 { 0 2 2 0 -> 0 0 1 0 3 5 5 1 3 0 , 15.50/4.17 0 3 2 1 -> 0 0 0 0 0 0 0 2 3 3 , 15.50/4.17 0 2 4 0 5 -> 1 0 4 1 0 3 3 4 0 5 , 15.50/4.17 0 3 0 5 2 -> 0 1 0 1 1 0 0 5 3 4 , 15.50/4.17 0 3 1 0 5 4 -> 0 0 4 5 2 1 2 0 1 5 , 15.50/4.17 0 3 2 4 2 5 -> 0 3 2 5 1 0 4 0 4 0 , 15.50/4.17 0 5 0 2 2 4 -> 4 5 0 0 5 1 5 1 1 4 , 15.50/4.17 4 0 2 0 5 1 -> 0 2 5 1 1 1 4 3 1 5 , 15.50/4.17 0 2 2 0 1 2 0 -> 0 4 3 4 2 3 5 4 0 0 , 15.50/4.17 0 3 0 2 1 5 3 -> 0 4 5 1 3 0 0 0 5 0 , 15.50/4.17 0 3 0 2 4 2 4 -> 4 5 0 1 2 1 4 4 2 4 , 15.50/4.17 0 3 2 3 5 5 3 -> 0 3 3 4 1 3 2 5 5 3 , 15.50/4.17 0 3 2 5 0 5 4 -> 4 5 0 0 5 4 1 4 0 1 , 15.50/4.17 1 0 2 1 0 3 5 -> 1 0 0 0 2 1 1 2 1 5 , 15.50/4.17 1 2 1 5 0 3 0 -> 3 4 3 2 1 5 2 0 1 0 , 15.50/4.17 4 0 5 2 0 2 0 -> 4 0 4 4 2 0 0 1 0 0 } 15.50/4.17 15.50/4.17 15.50/4.17 The system was filtered by the following matrix interpretation 15.50/4.17 of type E_J with J = {1,...,2} and dimension 11: 15.50/4.17 15.50/4.17 0 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 1 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 1 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 1 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 1 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 2 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 1 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 1 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 1 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 1 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 3 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 5 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 1 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 1 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 4 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 1 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 1 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 15.50/4.17 Remains to prove termination of the 15-rule system 15.50/4.17 { 0 2 2 0 -> 0 0 1 0 3 5 5 1 3 0 , 15.50/4.17 0 3 2 1 -> 0 0 0 0 0 0 0 2 3 3 , 15.50/4.17 0 2 4 0 5 -> 1 0 4 1 0 3 3 4 0 5 , 15.50/4.17 0 3 0 5 2 -> 0 1 0 1 1 0 0 5 3 4 , 15.50/4.17 0 3 1 0 5 4 -> 0 0 4 5 2 1 2 0 1 5 , 15.50/4.17 0 3 2 4 2 5 -> 0 3 2 5 1 0 4 0 4 0 , 15.50/4.17 0 5 0 2 2 4 -> 4 5 0 0 5 1 5 1 1 4 , 15.50/4.17 0 2 2 0 1 2 0 -> 0 4 3 4 2 3 5 4 0 0 , 15.50/4.17 0 3 0 2 1 5 3 -> 0 4 5 1 3 0 0 0 5 0 , 15.50/4.17 0 3 0 2 4 2 4 -> 4 5 0 1 2 1 4 4 2 4 , 15.50/4.17 0 3 2 3 5 5 3 -> 0 3 3 4 1 3 2 5 5 3 , 15.50/4.17 0 3 2 5 0 5 4 -> 4 5 0 0 5 4 1 4 0 1 , 15.50/4.17 1 0 2 1 0 3 5 -> 1 0 0 0 2 1 1 2 1 5 , 15.50/4.17 1 2 1 5 0 3 0 -> 3 4 3 2 1 5 2 0 1 0 , 15.50/4.17 4 0 5 2 0 2 0 -> 4 0 4 4 2 0 0 1 0 0 } 15.50/4.17 15.50/4.17 15.50/4.17 The system was filtered by the following matrix interpretation 15.50/4.17 of type E_J with J = {1,...,2} and dimension 8: 15.50/4.17 15.50/4.17 0 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 0 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 1 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 1 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 2 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 1 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 1 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 1 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 1 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 0 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 3 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 0 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 5 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 0 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 1 0 0 0 0 | 15.50/4.17 | 0 0 0 0 1 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 4 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 1 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 15.50/4.17 Remains to prove termination of the 14-rule system 15.50/4.17 { 0 2 2 0 -> 0 0 1 0 3 5 5 1 3 0 , 15.50/4.17 0 3 2 1 -> 0 0 0 0 0 0 0 2 3 3 , 15.50/4.17 0 2 4 0 5 -> 1 0 4 1 0 3 3 4 0 5 , 15.50/4.17 0 3 0 5 2 -> 0 1 0 1 1 0 0 5 3 4 , 15.50/4.17 0 3 1 0 5 4 -> 0 0 4 5 2 1 2 0 1 5 , 15.50/4.17 0 3 2 4 2 5 -> 0 3 2 5 1 0 4 0 4 0 , 15.50/4.17 0 5 0 2 2 4 -> 4 5 0 0 5 1 5 1 1 4 , 15.50/4.17 0 2 2 0 1 2 0 -> 0 4 3 4 2 3 5 4 0 0 , 15.50/4.17 0 3 0 2 1 5 3 -> 0 4 5 1 3 0 0 0 5 0 , 15.50/4.17 0 3 0 2 4 2 4 -> 4 5 0 1 2 1 4 4 2 4 , 15.50/4.17 0 3 2 3 5 5 3 -> 0 3 3 4 1 3 2 5 5 3 , 15.50/4.17 0 3 2 5 0 5 4 -> 4 5 0 0 5 4 1 4 0 1 , 15.50/4.17 1 0 2 1 0 3 5 -> 1 0 0 0 2 1 1 2 1 5 , 15.50/4.17 1 2 1 5 0 3 0 -> 3 4 3 2 1 5 2 0 1 0 } 15.50/4.17 15.50/4.17 15.50/4.17 The system was filtered by the following matrix interpretation 15.50/4.17 of type E_J with J = {1,...,2} and dimension 8: 15.50/4.17 15.50/4.17 0 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 0 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 1 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 2 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 1 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 1 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 1 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 1 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 1 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 3 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 1 0 1 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 1 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 5 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 0 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 1 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 4 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 1 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 15.50/4.17 Remains to prove termination of the 13-rule system 15.50/4.17 { 0 2 2 0 -> 0 0 1 0 3 5 5 1 3 0 , 15.50/4.17 0 3 2 1 -> 0 0 0 0 0 0 0 2 3 3 , 15.50/4.17 0 2 4 0 5 -> 1 0 4 1 0 3 3 4 0 5 , 15.50/4.17 0 3 0 5 2 -> 0 1 0 1 1 0 0 5 3 4 , 15.50/4.17 0 3 1 0 5 4 -> 0 0 4 5 2 1 2 0 1 5 , 15.50/4.17 0 3 2 4 2 5 -> 0 3 2 5 1 0 4 0 4 0 , 15.50/4.17 0 5 0 2 2 4 -> 4 5 0 0 5 1 5 1 1 4 , 15.50/4.17 0 2 2 0 1 2 0 -> 0 4 3 4 2 3 5 4 0 0 , 15.50/4.17 0 3 0 2 1 5 3 -> 0 4 5 1 3 0 0 0 5 0 , 15.50/4.17 0 3 0 2 4 2 4 -> 4 5 0 1 2 1 4 4 2 4 , 15.50/4.17 0 3 2 3 5 5 3 -> 0 3 3 4 1 3 2 5 5 3 , 15.50/4.17 0 3 2 5 0 5 4 -> 4 5 0 0 5 4 1 4 0 1 , 15.50/4.17 1 0 2 1 0 3 5 -> 1 0 0 0 2 1 1 2 1 5 } 15.50/4.17 15.50/4.17 15.50/4.17 The system was filtered by the following matrix interpretation 15.50/4.17 of type E_J with J = {1,...,2} and dimension 8: 15.50/4.17 15.50/4.17 0 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 1 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 1 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 2 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 0 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 1 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 1 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 0 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 1 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 3 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 0 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 1 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 1 1 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 5 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 1 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 1 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 4 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 0 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 0 | 15.50/4.17 | 0 0 1 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 15.50/4.17 Remains to prove termination of the 12-rule system 15.50/4.17 { 0 2 2 0 -> 0 0 1 0 3 5 5 1 3 0 , 15.50/4.17 0 3 2 1 -> 0 0 0 0 0 0 0 2 3 3 , 15.50/4.17 0 2 4 0 5 -> 1 0 4 1 0 3 3 4 0 5 , 15.50/4.17 0 3 0 5 2 -> 0 1 0 1 1 0 0 5 3 4 , 15.50/4.17 0 3 1 0 5 4 -> 0 0 4 5 2 1 2 0 1 5 , 15.50/4.17 0 3 2 4 2 5 -> 0 3 2 5 1 0 4 0 4 0 , 15.50/4.17 0 5 0 2 2 4 -> 4 5 0 0 5 1 5 1 1 4 , 15.50/4.17 0 2 2 0 1 2 0 -> 0 4 3 4 2 3 5 4 0 0 , 15.50/4.17 0 3 0 2 4 2 4 -> 4 5 0 1 2 1 4 4 2 4 , 15.50/4.17 0 3 2 3 5 5 3 -> 0 3 3 4 1 3 2 5 5 3 , 15.50/4.17 0 3 2 5 0 5 4 -> 4 5 0 0 5 4 1 4 0 1 , 15.50/4.17 1 0 2 1 0 3 5 -> 1 0 0 0 2 1 1 2 1 5 } 15.50/4.17 15.50/4.17 15.50/4.17 The system was filtered by the following matrix interpretation 15.50/4.17 of type E_J with J = {1,...,2} and dimension 7: 15.50/4.17 15.50/4.17 0 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 1 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 2 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 1 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 1 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 1 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 3 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 | 15.50/4.17 | 0 0 0 1 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 5 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 1 1 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 4 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 1 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 15.50/4.17 Remains to prove termination of the 11-rule system 15.50/4.17 { 0 2 2 0 -> 0 0 1 0 3 5 5 1 3 0 , 15.50/4.17 0 3 2 1 -> 0 0 0 0 0 0 0 2 3 3 , 15.50/4.17 0 2 4 0 5 -> 1 0 4 1 0 3 3 4 0 5 , 15.50/4.17 0 3 0 5 2 -> 0 1 0 1 1 0 0 5 3 4 , 15.50/4.17 0 3 1 0 5 4 -> 0 0 4 5 2 1 2 0 1 5 , 15.50/4.17 0 5 0 2 2 4 -> 4 5 0 0 5 1 5 1 1 4 , 15.50/4.17 0 2 2 0 1 2 0 -> 0 4 3 4 2 3 5 4 0 0 , 15.50/4.17 0 3 0 2 4 2 4 -> 4 5 0 1 2 1 4 4 2 4 , 15.50/4.17 0 3 2 3 5 5 3 -> 0 3 3 4 1 3 2 5 5 3 , 15.50/4.17 0 3 2 5 0 5 4 -> 4 5 0 0 5 4 1 4 0 1 , 15.50/4.17 1 0 2 1 0 3 5 -> 1 0 0 0 2 1 1 2 1 5 } 15.50/4.17 15.50/4.17 15.50/4.17 The system was filtered by the following matrix interpretation 15.50/4.17 of type E_J with J = {1,...,2} and dimension 5: 15.50/4.17 15.50/4.17 0 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 1 0 0 | 15.50/4.17 | 0 1 0 0 0 | 15.50/4.17 | 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 | 15.50/4.17 \ / 15.50/4.17 2 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 | 15.50/4.17 | 0 0 0 1 0 | 15.50/4.17 | 0 0 0 0 1 | 15.50/4.17 | 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 1 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 | 15.50/4.17 | 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 3 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 | 15.50/4.17 | 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 5 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 | 15.50/4.17 | 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 4 is interpreted by 15.50/4.17 / \ 15.50/4.17 | 1 0 0 0 0 | 15.50/4.17 | 0 1 0 0 0 | 15.50/4.17 | 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 | 15.50/4.17 | 0 0 0 0 0 | 15.50/4.17 \ / 15.50/4.17 15.50/4.17 Remains to prove termination of the 9-rule system 15.50/4.17 { 0 3 2 1 -> 0 0 0 0 0 0 0 2 3 3 , 15.50/4.17 0 2 4 0 5 -> 1 0 4 1 0 3 3 4 0 5 , 15.50/4.18 0 3 0 5 2 -> 0 1 0 1 1 0 0 5 3 4 , 15.50/4.18 0 3 1 0 5 4 -> 0 0 4 5 2 1 2 0 1 5 , 15.50/4.18 0 5 0 2 2 4 -> 4 5 0 0 5 1 5 1 1 4 , 15.50/4.18 0 3 0 2 4 2 4 -> 4 5 0 1 2 1 4 4 2 4 , 15.50/4.18 0 3 2 3 5 5 3 -> 0 3 3 4 1 3 2 5 5 3 , 15.50/4.18 0 3 2 5 0 5 4 -> 4 5 0 0 5 4 1 4 0 1 , 15.50/4.18 1 0 2 1 0 3 5 -> 1 0 0 0 2 1 1 2 1 5 } 15.50/4.18 15.50/4.18 15.50/4.18 The system was filtered by the following matrix interpretation 15.50/4.18 of type E_J with J = {1,...,2} and dimension 6: 15.50/4.18 15.50/4.18 0 is interpreted by 15.50/4.18 / \ 15.50/4.18 | 1 0 1 0 0 0 | 15.50/4.18 | 0 1 0 0 0 0 | 15.50/4.18 | 0 0 0 0 0 0 | 15.50/4.18 | 0 0 0 0 0 0 | 15.50/4.18 | 0 0 0 0 0 1 | 15.50/4.18 | 0 0 0 0 0 0 | 15.50/4.18 \ / 15.50/4.18 2 is interpreted by 15.50/4.18 / \ 15.50/4.18 | 1 0 0 0 0 0 | 15.50/4.18 | 0 1 0 0 0 0 | 15.50/4.18 | 0 0 0 1 0 0 | 15.50/4.18 | 0 0 0 0 0 0 | 15.50/4.18 | 0 0 0 0 0 0 | 15.50/4.18 | 0 0 0 0 0 0 | 15.50/4.18 \ / 15.50/4.18 1 is interpreted by 15.50/4.18 / \ 15.50/4.18 | 1 0 0 0 0 0 | 15.50/4.18 | 0 1 0 0 0 0 | 15.50/4.18 | 0 0 0 0 0 0 | 15.50/4.18 | 0 0 0 0 0 0 | 15.50/4.18 | 0 0 0 0 0 0 | 15.50/4.18 | 0 0 0 0 0 0 | 15.50/4.18 \ / 15.50/4.18 3 is interpreted by 15.50/4.18 / \ 15.50/4.18 | 1 0 0 0 0 0 | 15.50/4.18 | 0 1 0 0 0 0 | 15.50/4.18 | 0 0 0 0 0 0 | 15.50/4.18 | 0 0 0 0 0 0 | 15.50/4.18 | 0 0 0 0 0 0 | 15.50/4.18 | 0 0 0 0 0 0 | 15.50/4.18 \ / 15.50/4.18 5 is interpreted by 15.50/4.18 / \ 15.50/4.18 | 1 0 0 0 0 0 | 15.50/4.18 | 0 1 0 0 0 0 | 15.50/4.18 | 0 0 0 0 0 0 | 15.50/4.18 | 0 0 0 0 0 0 | 15.50/4.18 | 0 0 0 0 0 0 | 15.50/4.18 | 0 1 0 0 0 0 | 15.50/4.18 \ / 15.50/4.18 4 is interpreted by 15.50/4.18 / \ 15.50/4.18 | 1 0 0 0 0 0 | 15.50/4.18 | 0 1 0 0 0 0 | 15.50/4.18 | 0 0 0 0 0 0 | 15.50/4.18 | 0 0 0 0 1 0 | 15.50/4.18 | 0 0 0 0 0 0 | 15.50/4.18 | 0 0 0 0 0 0 | 15.50/4.18 \ / 15.50/4.18 15.50/4.18 Remains to prove termination of the 8-rule system 15.50/4.18 { 0 3 2 1 -> 0 0 0 0 0 0 0 2 3 3 , 15.50/4.18 0 3 0 5 2 -> 0 1 0 1 1 0 0 5 3 4 , 15.50/4.18 0 3 1 0 5 4 -> 0 0 4 5 2 1 2 0 1 5 , 15.50/4.18 0 5 0 2 2 4 -> 4 5 0 0 5 1 5 1 1 4 , 15.50/4.18 0 3 0 2 4 2 4 -> 4 5 0 1 2 1 4 4 2 4 , 15.50/4.18 0 3 2 3 5 5 3 -> 0 3 3 4 1 3 2 5 5 3 , 15.50/4.18 0 3 2 5 0 5 4 -> 4 5 0 0 5 4 1 4 0 1 , 15.50/4.18 1 0 2 1 0 3 5 -> 1 0 0 0 2 1 1 2 1 5 } 15.50/4.18 15.50/4.18 15.50/4.18 The system was filtered by the following matrix interpretation 15.50/4.18 of type E_J with J = {1,...,2} and dimension 5: 15.50/4.18 15.50/4.18 0 is interpreted by 15.50/4.18 / \ 15.50/4.18 | 1 0 1 0 0 | 15.50/4.18 | 0 1 0 0 0 | 15.50/4.18 | 0 0 0 0 0 | 15.50/4.18 | 0 0 0 0 0 | 15.50/4.18 | 0 0 0 0 0 | 15.50/4.18 \ / 15.50/4.18 2 is interpreted by 15.50/4.18 / \ 15.50/4.18 | 1 0 0 0 0 | 15.50/4.18 | 0 1 0 0 0 | 15.50/4.18 | 0 0 0 0 0 | 15.50/4.18 | 0 0 0 0 1 | 15.50/4.18 | 0 0 0 0 0 | 15.50/4.18 \ / 15.50/4.18 1 is interpreted by 15.50/4.18 / \ 15.50/4.18 | 1 0 0 0 0 | 15.50/4.18 | 0 1 0 0 0 | 15.50/4.18 | 0 0 0 0 0 | 15.50/4.18 | 0 0 0 0 0 | 15.50/4.18 | 0 1 0 0 0 | 15.50/4.18 \ / 15.50/4.18 3 is interpreted by 15.50/4.18 / \ 15.50/4.18 | 1 0 0 0 0 | 15.50/4.18 | 0 1 0 0 0 | 15.50/4.18 | 0 0 0 1 0 | 15.50/4.18 | 0 0 0 0 0 | 15.50/4.18 | 0 0 0 0 0 | 15.50/4.18 \ / 15.50/4.18 5 is interpreted by 15.50/4.18 / \ 15.50/4.18 | 1 0 0 0 0 | 15.50/4.18 | 0 1 0 0 0 | 15.50/4.18 | 0 0 0 0 0 | 15.50/4.18 | 0 0 0 0 0 | 15.50/4.18 | 0 0 0 0 0 | 15.50/4.18 \ / 15.50/4.18 4 is interpreted by 15.50/4.18 / \ 15.50/4.18 | 1 0 0 0 0 | 15.50/4.18 | 0 1 0 0 0 | 15.50/4.18 | 0 0 0 0 0 | 15.50/4.18 | 0 0 0 0 0 | 15.50/4.18 | 0 0 0 0 0 | 15.50/4.18 \ / 15.50/4.18 15.50/4.18 Remains to prove termination of the 7-rule system 15.50/4.18 { 0 3 0 5 2 -> 0 1 0 1 1 0 0 5 3 4 , 15.50/4.18 0 3 1 0 5 4 -> 0 0 4 5 2 1 2 0 1 5 , 15.50/4.18 0 5 0 2 2 4 -> 4 5 0 0 5 1 5 1 1 4 , 15.50/4.18 0 3 0 2 4 2 4 -> 4 5 0 1 2 1 4 4 2 4 , 15.50/4.18 0 3 2 3 5 5 3 -> 0 3 3 4 1 3 2 5 5 3 , 15.50/4.18 0 3 2 5 0 5 4 -> 4 5 0 0 5 4 1 4 0 1 , 15.50/4.18 1 0 2 1 0 3 5 -> 1 0 0 0 2 1 1 2 1 5 } 15.50/4.18 15.50/4.18 15.50/4.18 The system was filtered by the following matrix interpretation 15.50/4.18 of type E_J with J = {1,...,2} and dimension 6: 15.50/4.18 15.50/4.18 0 is interpreted by 15.50/4.18 / \ 15.50/4.18 | 1 0 1 0 0 0 | 15.50/4.18 | 0 1 0 0 0 0 | 15.50/4.18 | 0 0 0 0 0 0 | 15.50/4.18 | 0 0 0 0 1 0 | 15.50/4.18 | 0 0 0 0 0 0 | 15.50/4.18 | 0 0 0 0 0 0 | 15.50/4.18 \ / 15.50/4.18 2 is interpreted by 15.50/4.18 / \ 15.50/4.18 | 1 0 0 0 0 0 | 15.50/4.18 | 0 1 0 0 0 0 | 15.50/4.18 | 0 0 0 0 0 0 | 15.50/4.18 | 0 0 0 0 0 0 | 15.50/4.18 | 0 0 0 0 0 0 | 15.50/4.18 | 0 1 0 0 0 0 | 15.50/4.18 \ / 15.50/4.18 1 is interpreted by 15.50/4.18 / \ 15.50/4.18 | 1 0 0 0 0 0 | 15.50/4.18 | 0 1 0 0 0 0 | 15.50/4.18 | 0 0 0 0 0 0 | 15.50/4.18 | 0 0 0 0 0 0 | 15.50/4.18 | 0 0 0 0 0 0 | 15.50/4.18 | 0 0 0 0 0 0 | 15.50/4.18 \ / 15.50/4.18 3 is interpreted by 15.50/4.18 / \ 15.50/4.18 | 1 0 0 0 0 0 | 15.50/4.18 | 0 1 0 0 0 0 | 15.50/4.18 | 0 0 0 1 0 0 | 15.50/4.18 | 0 0 0 0 0 0 | 15.50/4.18 | 0 0 0 0 0 0 | 15.50/4.18 | 0 0 0 0 0 0 | 15.50/4.18 \ / 15.50/4.18 5 is interpreted by 15.50/4.18 / \ 15.50/4.18 | 1 0 0 0 0 0 | 15.50/4.18 | 0 1 0 0 0 0 | 15.50/4.18 | 0 0 0 0 0 0 | 15.50/4.18 | 0 0 0 0 0 0 | 15.50/4.18 | 0 0 0 0 0 1 | 15.50/4.18 | 0 0 0 0 0 0 | 15.50/4.18 \ / 15.50/4.18 4 is interpreted by 15.50/4.18 / \ 15.50/4.18 | 1 0 0 0 0 0 | 15.50/4.18 | 0 1 0 0 0 0 | 15.50/4.18 | 0 0 0 0 0 0 | 15.50/4.18 | 0 0 0 0 0 0 | 15.50/4.18 | 0 0 0 0 0 0 | 15.50/4.18 | 0 0 0 0 0 0 | 15.50/4.18 \ / 15.50/4.18 15.50/4.18 Remains to prove termination of the 6-rule system 15.50/4.18 { 0 3 1 0 5 4 -> 0 0 4 5 2 1 2 0 1 5 , 15.50/4.18 0 5 0 2 2 4 -> 4 5 0 0 5 1 5 1 1 4 , 15.50/4.18 0 3 0 2 4 2 4 -> 4 5 0 1 2 1 4 4 2 4 , 15.50/4.18 0 3 2 3 5 5 3 -> 0 3 3 4 1 3 2 5 5 3 , 15.50/4.18 0 3 2 5 0 5 4 -> 4 5 0 0 5 4 1 4 0 1 , 15.50/4.18 1 0 2 1 0 3 5 -> 1 0 0 0 2 1 1 2 1 5 } 15.50/4.18 15.50/4.18 15.50/4.18 The system was filtered by the following matrix interpretation 15.50/4.18 of type E_J with J = {1,...,2} and dimension 8: 15.50/4.18 15.50/4.18 0 is interpreted by 15.50/4.18 / \ 15.50/4.18 | 1 0 1 0 0 0 0 0 | 15.50/4.18 | 0 1 0 0 0 0 0 0 | 15.50/4.18 | 0 0 0 0 0 0 0 0 | 15.50/4.18 | 0 0 0 0 0 0 0 0 | 15.50/4.18 | 0 0 0 0 0 0 0 0 | 15.50/4.18 | 0 0 0 0 0 0 0 0 | 15.50/4.18 | 0 0 0 0 0 0 0 0 | 15.50/4.18 | 0 0 0 0 0 0 0 0 | 15.50/4.18 \ / 15.50/4.18 2 is interpreted by 15.50/4.18 / \ 15.50/4.18 | 1 0 0 0 0 0 0 0 | 15.50/4.18 | 0 1 0 0 0 0 0 0 | 15.50/4.18 | 0 0 0 0 0 0 0 0 | 15.50/4.18 | 0 0 0 0 1 0 0 0 | 15.50/4.18 | 0 0 0 0 0 0 0 0 | 15.50/4.18 | 0 0 0 0 0 0 0 0 | 15.50/4.18 | 0 0 0 0 0 0 0 0 | 15.50/4.18 | 0 0 0 0 0 0 0 0 | 15.50/4.18 \ / 15.50/4.18 1 is interpreted by 15.50/4.18 / \ 15.50/4.18 | 1 0 0 0 0 0 0 0 | 15.50/4.18 | 0 1 0 0 0 0 0 0 | 15.50/4.18 | 0 0 0 0 0 0 0 0 | 15.50/4.18 | 0 0 0 0 0 0 0 0 | 15.50/4.18 | 0 0 0 0 0 0 0 0 | 15.50/4.18 | 0 0 0 0 0 0 0 0 | 15.50/4.18 | 0 0 0 0 0 0 0 0 | 15.50/4.18 | 0 0 0 0 0 0 0 0 | 15.50/4.18 \ / 15.50/4.18 3 is interpreted by 15.50/4.18 / \ 15.50/4.18 | 1 0 0 0 0 0 0 0 | 15.50/4.18 | 0 1 0 0 0 0 0 0 | 15.50/4.18 | 0 0 0 1 0 0 0 0 | 15.50/4.18 | 0 0 0 0 0 0 0 0 | 15.50/4.18 | 0 0 0 0 0 1 0 0 | 15.50/4.18 | 0 0 0 0 0 0 0 0 | 15.50/4.18 | 0 0 0 0 0 0 0 0 | 15.50/4.18 | 0 1 0 0 0 0 0 0 | 15.50/4.18 \ / 15.50/4.18 5 is interpreted by 15.50/4.18 / \ 15.50/4.18 | 1 0 0 0 0 0 0 0 | 15.50/4.18 | 0 1 0 0 0 0 0 0 | 15.50/4.18 | 0 0 0 0 0 0 0 0 | 15.50/4.18 | 0 0 0 0 0 0 0 0 | 15.50/4.18 | 0 0 0 0 0 0 0 0 | 15.50/4.18 | 0 0 0 0 0 0 1 0 | 15.50/4.18 | 0 0 0 0 0 0 0 1 | 15.50/4.18 | 0 0 0 0 0 0 0 0 | 15.50/4.18 \ / 15.50/4.18 4 is interpreted by 15.50/4.18 / \ 15.50/4.18 | 1 0 0 0 0 0 0 0 | 15.50/4.18 | 0 1 0 0 0 0 0 0 | 15.50/4.18 | 0 0 0 0 0 0 0 0 | 15.50/4.18 | 0 0 0 0 0 0 0 0 | 15.50/4.18 | 0 0 0 0 0 0 0 0 | 15.50/4.18 | 0 0 0 0 0 0 0 0 | 15.50/4.18 | 0 0 0 0 0 0 0 0 | 15.50/4.18 | 0 0 0 0 0 0 0 0 | 15.50/4.18 \ / 15.50/4.18 15.50/4.18 Remains to prove termination of the 5-rule system 15.50/4.18 { 0 3 1 0 5 4 -> 0 0 4 5 2 1 2 0 1 5 , 15.50/4.18 0 5 0 2 2 4 -> 4 5 0 0 5 1 5 1 1 4 , 15.50/4.18 0 3 0 2 4 2 4 -> 4 5 0 1 2 1 4 4 2 4 , 15.50/4.18 0 3 2 5 0 5 4 -> 4 5 0 0 5 4 1 4 0 1 , 15.50/4.18 1 0 2 1 0 3 5 -> 1 0 0 0 2 1 1 2 1 5 } 15.50/4.18 15.50/4.18 15.50/4.18 The system was filtered by the following matrix interpretation 15.50/4.18 of type E_J with J = {1,...,2} and dimension 2: 15.50/4.18 15.50/4.18 0 is interpreted by 15.50/4.18 / \ 15.50/4.18 | 1 0 | 15.50/4.18 | 0 1 | 15.50/4.18 \ / 15.50/4.18 2 is interpreted by 15.50/4.18 / \ 15.50/4.18 | 1 0 | 15.50/4.18 | 0 1 | 15.50/4.18 \ / 15.50/4.18 1 is interpreted by 15.50/4.18 / \ 15.50/4.18 | 1 0 | 15.50/4.18 | 0 1 | 15.50/4.18 \ / 15.50/4.18 3 is interpreted by 15.50/4.18 / \ 15.50/4.18 | 1 1 | 15.50/4.18 | 0 1 | 15.50/4.18 \ / 15.50/4.18 5 is interpreted by 15.50/4.18 / \ 15.50/4.18 | 1 0 | 15.50/4.18 | 0 1 | 15.50/4.18 \ / 15.50/4.18 4 is interpreted by 15.50/4.18 / \ 15.50/4.18 | 1 0 | 15.50/4.18 | 0 1 | 15.50/4.18 \ / 15.50/4.18 15.50/4.18 Remains to prove termination of the 1-rule system 15.50/4.18 { 0 5 0 2 2 4 -> 4 5 0 0 5 1 5 1 1 4 } 15.50/4.18 15.50/4.18 15.50/4.18 The system was filtered by the following matrix interpretation 15.50/4.18 of type E_J with J = {1,...,2} and dimension 2: 15.50/4.18 15.50/4.18 0 is interpreted by 15.50/4.18 / \ 15.50/4.18 | 1 0 | 15.50/4.18 | 0 1 | 15.50/4.18 \ / 15.50/4.18 2 is interpreted by 15.50/4.18 / \ 15.50/4.18 | 1 1 | 15.50/4.18 | 0 1 | 15.50/4.18 \ / 15.50/4.18 1 is interpreted by 15.50/4.18 / \ 15.50/4.18 | 1 0 | 15.50/4.18 | 0 1 | 15.50/4.18 \ / 15.50/4.18 3 is interpreted by 15.50/4.18 / \ 15.50/4.18 | 1 0 | 15.50/4.18 | 0 1 | 15.50/4.18 \ / 15.50/4.18 5 is interpreted by 15.50/4.18 / \ 15.50/4.18 | 1 0 | 15.50/4.18 | 0 1 | 15.50/4.18 \ / 15.50/4.18 4 is interpreted by 15.50/4.18 / \ 15.50/4.18 | 1 0 | 15.50/4.18 | 0 1 | 15.50/4.18 \ / 15.50/4.18 15.50/4.18 Remains to prove termination of the 0-rule system 15.50/4.18 { } 15.50/4.18 15.50/4.18 15.50/4.18 The system is trivially terminating. 15.50/4.21 EOF