31.34/8.32 YES 32.29/8.52 32.29/8.52 32.29/8.52 The system was filtered by the following matrix interpretation 32.29/8.52 of type E_J with J = {1,...,2} and dimension 6: 32.29/8.52 32.29/8.52 0 is interpreted by 32.29/8.52 / \ 32.29/8.52 | 1 0 0 0 0 0 | 32.29/8.52 | 0 1 0 0 0 0 | 32.29/8.52 | 0 0 1 1 0 0 | 32.29/8.52 | 0 0 0 0 1 0 | 32.29/8.52 | 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 | 32.29/8.52 \ / 32.29/8.52 1 is interpreted by 32.29/8.52 / \ 32.29/8.52 | 1 0 1 0 0 0 | 32.29/8.52 | 0 1 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 | 32.29/8.52 | 0 1 0 0 0 0 | 32.29/8.52 \ / 32.29/8.52 2 is interpreted by 32.29/8.52 / \ 32.29/8.52 | 1 0 0 0 0 0 | 32.29/8.52 | 0 1 0 0 0 0 | 32.29/8.52 | 0 0 1 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 | 32.29/8.52 \ / 32.29/8.52 3 is interpreted by 32.29/8.52 / \ 32.29/8.52 | 1 0 0 0 0 0 | 32.29/8.52 | 0 1 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 | 32.29/8.52 \ / 32.29/8.52 4 is interpreted by 32.29/8.52 / \ 32.29/8.52 | 1 0 0 0 0 0 | 32.29/8.52 | 0 1 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 1 | 32.29/8.52 | 0 0 0 0 0 1 | 32.29/8.52 \ / 32.29/8.52 5 is interpreted by 32.29/8.52 / \ 32.29/8.52 | 1 0 1 0 0 0 | 32.29/8.52 | 0 1 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 1 0 0 | 32.29/8.52 | 0 0 0 0 0 0 | 32.29/8.52 | 0 1 0 0 0 0 | 32.29/8.52 \ / 32.29/8.52 32.29/8.52 Remains to prove termination of the 47-rule system 32.29/8.52 { 0 1 0 0 -> 2 0 2 0 0 1 , 32.29/8.52 1 0 0 1 -> 1 0 3 0 1 , 32.29/8.52 1 0 0 4 -> 1 4 0 2 0 , 32.29/8.52 1 0 0 4 -> 1 4 0 3 2 0 , 32.29/8.52 1 0 1 0 -> 1 3 0 0 3 1 , 32.29/8.52 1 0 1 4 -> 1 0 3 1 2 4 , 32.29/8.52 1 0 1 5 -> 1 0 2 1 5 , 32.29/8.52 1 0 4 1 -> 1 0 3 4 1 , 32.29/8.52 1 0 5 0 -> 1 2 5 2 0 0 , 32.29/8.52 1 2 0 4 -> 1 3 4 2 0 , 32.29/8.52 1 3 0 4 -> 1 3 4 2 0 , 32.29/8.52 1 4 1 0 -> 1 4 0 2 1 , 32.29/8.52 1 4 1 0 -> 1 4 0 3 1 , 32.29/8.52 1 4 5 0 -> 4 0 2 1 2 5 , 32.29/8.52 1 5 0 1 -> 0 1 3 1 3 5 , 32.29/8.52 1 5 0 1 -> 1 5 0 3 1 3 , 32.29/8.52 4 1 0 0 -> 0 2 4 2 0 1 , 32.29/8.52 4 1 0 0 -> 0 3 4 3 0 1 , 32.29/8.52 4 1 0 5 -> 4 0 2 1 5 , 32.29/8.52 4 1 2 0 -> 3 0 2 1 3 4 , 32.29/8.52 4 5 0 0 -> 3 0 4 0 5 , 32.29/8.52 5 0 0 4 -> 5 4 0 2 0 , 32.29/8.52 5 0 1 4 -> 1 5 4 3 0 , 32.29/8.52 5 4 1 5 -> 4 3 1 5 5 , 32.29/8.52 1 0 1 4 5 -> 1 3 1 5 4 0 , 32.29/8.52 1 0 4 0 4 -> 1 0 4 3 4 0 , 32.29/8.52 1 1 1 0 0 -> 1 1 0 0 3 1 , 32.29/8.52 1 1 4 5 0 -> 1 1 3 4 0 5 , 32.29/8.52 1 2 0 5 0 -> 5 2 1 0 2 0 , 32.29/8.52 1 4 5 0 0 -> 4 0 5 0 2 1 , 32.29/8.52 1 4 5 2 0 -> 0 3 1 2 5 4 , 32.29/8.52 1 5 0 4 5 -> 3 4 0 5 1 5 , 32.29/8.52 4 1 0 0 1 -> 1 0 4 0 3 1 , 32.29/8.52 4 1 2 0 0 -> 4 2 0 0 2 1 , 32.29/8.52 4 1 3 0 5 -> 3 2 4 0 1 5 , 32.29/8.52 4 1 5 3 1 -> 2 1 5 4 3 1 , 32.29/8.52 4 4 1 0 1 -> 1 3 4 4 0 1 , 32.29/8.52 4 5 0 1 0 -> 4 0 0 5 3 1 , 32.29/8.52 4 5 1 1 0 -> 1 1 3 4 0 5 , 32.29/8.52 4 5 1 1 0 -> 4 0 2 1 5 1 , 32.29/8.52 4 5 1 5 1 -> 4 1 5 5 3 1 , 32.29/8.52 4 5 5 0 4 -> 5 4 0 5 4 2 , 32.29/8.52 5 0 4 1 0 -> 5 0 4 0 3 1 , 32.29/8.52 5 1 5 0 1 -> 5 0 3 5 1 1 , 32.29/8.52 5 4 1 1 0 -> 1 2 4 0 1 5 , 32.29/8.52 5 4 5 1 0 -> 5 5 1 3 4 0 , 32.29/8.52 5 5 2 0 4 -> 5 5 3 4 2 0 } 32.29/8.52 32.29/8.52 32.29/8.52 The system was filtered by the following matrix interpretation 32.29/8.52 of type E_J with J = {1,...,2} and dimension 8: 32.29/8.52 32.29/8.52 0 is interpreted by 32.29/8.52 / \ 32.29/8.52 | 1 0 0 0 0 0 0 0 | 32.29/8.52 | 0 1 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 1 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 1 0 0 1 0 0 | 32.29/8.52 \ / 32.29/8.52 1 is interpreted by 32.29/8.52 / \ 32.29/8.52 | 1 0 0 0 0 0 0 0 | 32.29/8.52 | 0 1 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 1 0 0 0 0 | 32.29/8.52 | 0 0 0 0 1 0 0 0 | 32.29/8.52 | 0 1 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 1 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 | 32.29/8.52 \ / 32.29/8.52 2 is interpreted by 32.29/8.52 / \ 32.29/8.52 | 1 0 0 0 0 0 0 0 | 32.29/8.52 | 0 1 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 1 | 32.29/8.52 | 0 0 0 0 0 0 0 0 | 32.29/8.52 \ / 32.29/8.52 3 is interpreted by 32.29/8.52 / \ 32.29/8.52 | 1 0 0 0 0 0 0 0 | 32.29/8.52 | 0 1 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 | 32.29/8.52 \ / 32.29/8.52 4 is interpreted by 32.29/8.52 / \ 32.29/8.52 | 1 0 1 0 0 1 0 0 | 32.29/8.52 | 0 1 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 1 0 0 0 | 32.29/8.52 | 0 0 0 0 1 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 | 32.29/8.52 \ / 32.29/8.52 5 is interpreted by 32.29/8.52 / \ 32.29/8.52 | 1 0 0 0 0 0 0 0 | 32.29/8.52 | 0 1 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 1 0 | 32.29/8.52 | 0 0 0 1 0 0 0 0 | 32.29/8.52 | 0 1 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 | 32.29/8.52 \ / 32.29/8.52 32.29/8.52 Remains to prove termination of the 45-rule system 32.29/8.52 { 0 1 0 0 -> 2 0 2 0 0 1 , 32.29/8.52 1 0 0 1 -> 1 0 3 0 1 , 32.29/8.52 1 0 0 4 -> 1 4 0 2 0 , 32.29/8.52 1 0 0 4 -> 1 4 0 3 2 0 , 32.29/8.52 1 0 1 0 -> 1 3 0 0 3 1 , 32.29/8.52 1 0 1 4 -> 1 0 3 1 2 4 , 32.29/8.52 1 0 1 5 -> 1 0 2 1 5 , 32.29/8.52 1 0 4 1 -> 1 0 3 4 1 , 32.29/8.52 1 0 5 0 -> 1 2 5 2 0 0 , 32.29/8.52 1 2 0 4 -> 1 3 4 2 0 , 32.29/8.52 1 3 0 4 -> 1 3 4 2 0 , 32.29/8.52 1 4 1 0 -> 1 4 0 2 1 , 32.29/8.52 1 4 1 0 -> 1 4 0 3 1 , 32.29/8.52 1 4 5 0 -> 4 0 2 1 2 5 , 32.29/8.52 1 5 0 1 -> 0 1 3 1 3 5 , 32.29/8.52 1 5 0 1 -> 1 5 0 3 1 3 , 32.29/8.52 4 1 0 0 -> 0 2 4 2 0 1 , 32.29/8.52 4 1 0 0 -> 0 3 4 3 0 1 , 32.29/8.52 4 1 2 0 -> 3 0 2 1 3 4 , 32.29/8.52 4 5 0 0 -> 3 0 4 0 5 , 32.29/8.52 5 0 0 4 -> 5 4 0 2 0 , 32.29/8.52 5 0 1 4 -> 1 5 4 3 0 , 32.29/8.52 5 4 1 5 -> 4 3 1 5 5 , 32.29/8.52 1 0 1 4 5 -> 1 3 1 5 4 0 , 32.29/8.52 1 0 4 0 4 -> 1 0 4 3 4 0 , 32.29/8.52 1 1 1 0 0 -> 1 1 0 0 3 1 , 32.29/8.52 1 1 4 5 0 -> 1 1 3 4 0 5 , 32.29/8.52 1 2 0 5 0 -> 5 2 1 0 2 0 , 32.29/8.52 1 4 5 0 0 -> 4 0 5 0 2 1 , 32.29/8.52 1 4 5 2 0 -> 0 3 1 2 5 4 , 32.29/8.52 1 5 0 4 5 -> 3 4 0 5 1 5 , 32.29/8.52 4 1 0 0 1 -> 1 0 4 0 3 1 , 32.29/8.52 4 1 2 0 0 -> 4 2 0 0 2 1 , 32.29/8.52 4 1 3 0 5 -> 3 2 4 0 1 5 , 32.29/8.52 4 1 5 3 1 -> 2 1 5 4 3 1 , 32.29/8.52 4 5 0 1 0 -> 4 0 0 5 3 1 , 32.29/8.52 4 5 1 1 0 -> 1 1 3 4 0 5 , 32.29/8.52 4 5 1 1 0 -> 4 0 2 1 5 1 , 32.29/8.52 4 5 1 5 1 -> 4 1 5 5 3 1 , 32.29/8.52 4 5 5 0 4 -> 5 4 0 5 4 2 , 32.29/8.52 5 0 4 1 0 -> 5 0 4 0 3 1 , 32.29/8.52 5 1 5 0 1 -> 5 0 3 5 1 1 , 32.29/8.52 5 4 1 1 0 -> 1 2 4 0 1 5 , 32.29/8.52 5 4 5 1 0 -> 5 5 1 3 4 0 , 32.29/8.52 5 5 2 0 4 -> 5 5 3 4 2 0 } 32.29/8.52 32.29/8.52 32.29/8.52 The system was filtered by the following matrix interpretation 32.29/8.52 of type E_J with J = {1,...,2} and dimension 9: 32.29/8.52 32.29/8.52 0 is interpreted by 32.29/8.52 / \ 32.29/8.52 | 1 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 1 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 1 0 0 0 1 0 0 | 32.29/8.52 \ / 32.29/8.52 1 is interpreted by 32.29/8.52 / \ 32.29/8.52 | 1 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 1 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 1 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 1 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 1 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 \ / 32.29/8.52 2 is interpreted by 32.29/8.52 / \ 32.29/8.52 | 1 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 1 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 1 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 \ / 32.29/8.52 3 is interpreted by 32.29/8.52 / \ 32.29/8.52 | 1 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 1 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 1 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 \ / 32.29/8.52 4 is interpreted by 32.29/8.52 / \ 32.29/8.52 | 1 0 1 0 0 0 1 0 0 | 32.29/8.52 | 0 1 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 1 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 \ / 32.29/8.52 5 is interpreted by 32.29/8.52 / \ 32.29/8.52 | 1 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 1 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 1 0 | 32.29/8.52 | 0 0 0 0 1 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 1 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 \ / 32.29/8.52 32.29/8.52 Remains to prove termination of the 44-rule system 32.29/8.52 { 0 1 0 0 -> 2 0 2 0 0 1 , 32.29/8.52 1 0 0 1 -> 1 0 3 0 1 , 32.29/8.52 1 0 0 4 -> 1 4 0 2 0 , 32.29/8.52 1 0 0 4 -> 1 4 0 3 2 0 , 32.29/8.52 1 0 1 0 -> 1 3 0 0 3 1 , 32.29/8.52 1 0 1 4 -> 1 0 3 1 2 4 , 32.29/8.52 1 0 1 5 -> 1 0 2 1 5 , 32.29/8.52 1 0 4 1 -> 1 0 3 4 1 , 32.29/8.52 1 0 5 0 -> 1 2 5 2 0 0 , 32.29/8.52 1 2 0 4 -> 1 3 4 2 0 , 32.29/8.52 1 3 0 4 -> 1 3 4 2 0 , 32.29/8.52 1 4 1 0 -> 1 4 0 2 1 , 32.29/8.52 1 4 1 0 -> 1 4 0 3 1 , 32.29/8.52 1 4 5 0 -> 4 0 2 1 2 5 , 32.29/8.52 1 5 0 1 -> 0 1 3 1 3 5 , 32.29/8.52 1 5 0 1 -> 1 5 0 3 1 3 , 32.29/8.52 4 1 0 0 -> 0 2 4 2 0 1 , 32.29/8.52 4 1 0 0 -> 0 3 4 3 0 1 , 32.29/8.52 4 1 2 0 -> 3 0 2 1 3 4 , 32.29/8.52 4 5 0 0 -> 3 0 4 0 5 , 32.29/8.52 5 0 0 4 -> 5 4 0 2 0 , 32.29/8.52 5 0 1 4 -> 1 5 4 3 0 , 32.29/8.52 5 4 1 5 -> 4 3 1 5 5 , 32.29/8.52 1 0 1 4 5 -> 1 3 1 5 4 0 , 32.29/8.52 1 0 4 0 4 -> 1 0 4 3 4 0 , 32.29/8.52 1 1 1 0 0 -> 1 1 0 0 3 1 , 32.29/8.52 1 1 4 5 0 -> 1 1 3 4 0 5 , 32.29/8.52 1 2 0 5 0 -> 5 2 1 0 2 0 , 32.29/8.52 1 4 5 0 0 -> 4 0 5 0 2 1 , 32.29/8.52 1 4 5 2 0 -> 0 3 1 2 5 4 , 32.29/8.52 1 5 0 4 5 -> 3 4 0 5 1 5 , 32.29/8.52 4 1 0 0 1 -> 1 0 4 0 3 1 , 32.29/8.52 4 1 2 0 0 -> 4 2 0 0 2 1 , 32.29/8.52 4 1 3 0 5 -> 3 2 4 0 1 5 , 32.29/8.52 4 5 0 1 0 -> 4 0 0 5 3 1 , 32.29/8.52 4 5 1 1 0 -> 1 1 3 4 0 5 , 32.29/8.52 4 5 1 1 0 -> 4 0 2 1 5 1 , 32.29/8.52 4 5 1 5 1 -> 4 1 5 5 3 1 , 32.29/8.52 4 5 5 0 4 -> 5 4 0 5 4 2 , 32.29/8.52 5 0 4 1 0 -> 5 0 4 0 3 1 , 32.29/8.52 5 1 5 0 1 -> 5 0 3 5 1 1 , 32.29/8.52 5 4 1 1 0 -> 1 2 4 0 1 5 , 32.29/8.52 5 4 5 1 0 -> 5 5 1 3 4 0 , 32.29/8.52 5 5 2 0 4 -> 5 5 3 4 2 0 } 32.29/8.52 32.29/8.52 32.29/8.52 The system was filtered by the following matrix interpretation 32.29/8.52 of type E_J with J = {1,...,2} and dimension 9: 32.29/8.52 32.29/8.52 0 is interpreted by 32.29/8.52 / \ 32.29/8.52 | 1 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 1 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 1 0 0 0 1 0 0 | 32.29/8.52 \ / 32.29/8.52 1 is interpreted by 32.29/8.52 / \ 32.29/8.52 | 1 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 1 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 1 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 1 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 1 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 \ / 32.29/8.52 2 is interpreted by 32.29/8.52 / \ 32.29/8.52 | 1 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 1 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 1 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 \ / 32.29/8.52 3 is interpreted by 32.29/8.52 / \ 32.29/8.52 | 1 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 1 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 \ / 32.29/8.52 4 is interpreted by 32.29/8.52 / \ 32.29/8.52 | 1 0 1 0 0 0 1 0 0 | 32.29/8.52 | 0 1 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 1 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 \ / 32.29/8.52 5 is interpreted by 32.29/8.52 / \ 32.29/8.52 | 1 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 1 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 1 0 0 0 1 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 1 0 0 0 | 32.29/8.52 | 0 1 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 \ / 32.29/8.52 32.29/8.52 Remains to prove termination of the 43-rule system 32.29/8.52 { 0 1 0 0 -> 2 0 2 0 0 1 , 32.29/8.52 1 0 0 1 -> 1 0 3 0 1 , 32.29/8.52 1 0 0 4 -> 1 4 0 2 0 , 32.29/8.52 1 0 0 4 -> 1 4 0 3 2 0 , 32.29/8.52 1 0 1 0 -> 1 3 0 0 3 1 , 32.29/8.52 1 0 1 4 -> 1 0 3 1 2 4 , 32.29/8.52 1 0 1 5 -> 1 0 2 1 5 , 32.29/8.52 1 0 4 1 -> 1 0 3 4 1 , 32.29/8.52 1 0 5 0 -> 1 2 5 2 0 0 , 32.29/8.52 1 2 0 4 -> 1 3 4 2 0 , 32.29/8.52 1 3 0 4 -> 1 3 4 2 0 , 32.29/8.52 1 4 1 0 -> 1 4 0 2 1 , 32.29/8.52 1 4 1 0 -> 1 4 0 3 1 , 32.29/8.52 1 4 5 0 -> 4 0 2 1 2 5 , 32.29/8.52 1 5 0 1 -> 0 1 3 1 3 5 , 32.29/8.52 1 5 0 1 -> 1 5 0 3 1 3 , 32.29/8.52 4 1 0 0 -> 0 2 4 2 0 1 , 32.29/8.52 4 1 0 0 -> 0 3 4 3 0 1 , 32.29/8.52 4 1 2 0 -> 3 0 2 1 3 4 , 32.29/8.52 4 5 0 0 -> 3 0 4 0 5 , 32.29/8.52 5 0 0 4 -> 5 4 0 2 0 , 32.29/8.52 5 0 1 4 -> 1 5 4 3 0 , 32.29/8.52 5 4 1 5 -> 4 3 1 5 5 , 32.29/8.52 1 0 1 4 5 -> 1 3 1 5 4 0 , 32.29/8.52 1 0 4 0 4 -> 1 0 4 3 4 0 , 32.29/8.52 1 1 1 0 0 -> 1 1 0 0 3 1 , 32.29/8.52 1 1 4 5 0 -> 1 1 3 4 0 5 , 32.29/8.52 1 2 0 5 0 -> 5 2 1 0 2 0 , 32.29/8.52 1 4 5 0 0 -> 4 0 5 0 2 1 , 32.29/8.52 1 4 5 2 0 -> 0 3 1 2 5 4 , 32.29/8.52 1 5 0 4 5 -> 3 4 0 5 1 5 , 32.29/8.52 4 1 0 0 1 -> 1 0 4 0 3 1 , 32.29/8.52 4 1 2 0 0 -> 4 2 0 0 2 1 , 32.29/8.52 4 1 3 0 5 -> 3 2 4 0 1 5 , 32.29/8.52 4 5 0 1 0 -> 4 0 0 5 3 1 , 32.29/8.52 4 5 1 1 0 -> 1 1 3 4 0 5 , 32.29/8.52 4 5 1 1 0 -> 4 0 2 1 5 1 , 32.29/8.52 4 5 5 0 4 -> 5 4 0 5 4 2 , 32.29/8.52 5 0 4 1 0 -> 5 0 4 0 3 1 , 32.29/8.52 5 1 5 0 1 -> 5 0 3 5 1 1 , 32.29/8.52 5 4 1 1 0 -> 1 2 4 0 1 5 , 32.29/8.52 5 4 5 1 0 -> 5 5 1 3 4 0 , 32.29/8.52 5 5 2 0 4 -> 5 5 3 4 2 0 } 32.29/8.52 32.29/8.52 32.29/8.52 The system was filtered by the following matrix interpretation 32.29/8.52 of type E_J with J = {1,...,2} and dimension 9: 32.29/8.52 32.29/8.52 0 is interpreted by 32.29/8.52 / \ 32.29/8.52 | 1 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 1 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 1 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 1 0 0 0 1 0 0 | 32.29/8.52 \ / 32.29/8.52 1 is interpreted by 32.29/8.52 / \ 32.29/8.52 | 1 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 1 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 1 0 0 0 0 0 | 32.29/8.52 | 0 1 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 1 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 \ / 32.29/8.52 2 is interpreted by 32.29/8.52 / \ 32.29/8.52 | 1 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 1 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 1 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 \ / 32.29/8.52 3 is interpreted by 32.29/8.52 / \ 32.29/8.52 | 1 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 1 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 \ / 32.29/8.52 4 is interpreted by 32.29/8.52 / \ 32.29/8.52 | 1 0 1 0 0 0 1 0 0 | 32.29/8.52 | 0 1 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 1 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 \ / 32.29/8.52 5 is interpreted by 32.29/8.52 / \ 32.29/8.52 | 1 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 1 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 1 0 0 0 1 0 | 32.29/8.52 | 0 0 0 0 1 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 1 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 \ / 32.29/8.52 32.29/8.52 Remains to prove termination of the 42-rule system 32.29/8.52 { 0 1 0 0 -> 2 0 2 0 0 1 , 32.29/8.52 1 0 0 1 -> 1 0 3 0 1 , 32.29/8.52 1 0 0 4 -> 1 4 0 2 0 , 32.29/8.52 1 0 0 4 -> 1 4 0 3 2 0 , 32.29/8.52 1 0 1 0 -> 1 3 0 0 3 1 , 32.29/8.52 1 0 1 4 -> 1 0 3 1 2 4 , 32.29/8.52 1 0 1 5 -> 1 0 2 1 5 , 32.29/8.52 1 0 4 1 -> 1 0 3 4 1 , 32.29/8.52 1 0 5 0 -> 1 2 5 2 0 0 , 32.29/8.52 1 2 0 4 -> 1 3 4 2 0 , 32.29/8.52 1 3 0 4 -> 1 3 4 2 0 , 32.29/8.52 1 4 1 0 -> 1 4 0 2 1 , 32.29/8.52 1 4 1 0 -> 1 4 0 3 1 , 32.29/8.52 1 4 5 0 -> 4 0 2 1 2 5 , 32.29/8.52 1 5 0 1 -> 0 1 3 1 3 5 , 32.29/8.52 1 5 0 1 -> 1 5 0 3 1 3 , 32.29/8.52 4 1 0 0 -> 0 2 4 2 0 1 , 32.29/8.52 4 1 0 0 -> 0 3 4 3 0 1 , 32.29/8.52 4 1 2 0 -> 3 0 2 1 3 4 , 32.29/8.52 4 5 0 0 -> 3 0 4 0 5 , 32.29/8.52 5 0 0 4 -> 5 4 0 2 0 , 32.29/8.52 5 0 1 4 -> 1 5 4 3 0 , 32.29/8.52 5 4 1 5 -> 4 3 1 5 5 , 32.29/8.52 1 0 1 4 5 -> 1 3 1 5 4 0 , 32.29/8.52 1 0 4 0 4 -> 1 0 4 3 4 0 , 32.29/8.52 1 1 1 0 0 -> 1 1 0 0 3 1 , 32.29/8.52 1 1 4 5 0 -> 1 1 3 4 0 5 , 32.29/8.52 1 2 0 5 0 -> 5 2 1 0 2 0 , 32.29/8.52 1 4 5 0 0 -> 4 0 5 0 2 1 , 32.29/8.52 1 4 5 2 0 -> 0 3 1 2 5 4 , 32.29/8.52 1 5 0 4 5 -> 3 4 0 5 1 5 , 32.29/8.52 4 1 0 0 1 -> 1 0 4 0 3 1 , 32.29/8.52 4 1 2 0 0 -> 4 2 0 0 2 1 , 32.29/8.52 4 1 3 0 5 -> 3 2 4 0 1 5 , 32.29/8.52 4 5 0 1 0 -> 4 0 0 5 3 1 , 32.29/8.52 4 5 1 1 0 -> 1 1 3 4 0 5 , 32.29/8.52 4 5 1 1 0 -> 4 0 2 1 5 1 , 32.29/8.52 5 0 4 1 0 -> 5 0 4 0 3 1 , 32.29/8.52 5 1 5 0 1 -> 5 0 3 5 1 1 , 32.29/8.52 5 4 1 1 0 -> 1 2 4 0 1 5 , 32.29/8.52 5 4 5 1 0 -> 5 5 1 3 4 0 , 32.29/8.52 5 5 2 0 4 -> 5 5 3 4 2 0 } 32.29/8.52 32.29/8.52 32.29/8.52 The system was filtered by the following matrix interpretation 32.29/8.52 of type E_J with J = {1,...,2} and dimension 5: 32.29/8.52 32.29/8.52 0 is interpreted by 32.29/8.52 / \ 32.29/8.52 | 1 0 0 0 0 | 32.29/8.52 | 0 1 0 0 0 | 32.29/8.52 | 0 0 1 1 1 | 32.29/8.52 | 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 | 32.29/8.52 \ / 32.29/8.52 1 is interpreted by 32.29/8.52 / \ 32.29/8.52 | 1 0 1 0 0 | 32.29/8.52 | 0 1 0 0 0 | 32.29/8.52 | 0 0 0 0 0 | 32.29/8.52 | 0 0 1 0 1 | 32.29/8.52 | 0 0 1 0 0 | 32.29/8.52 \ / 32.29/8.52 2 is interpreted by 32.29/8.52 / \ 32.29/8.52 | 1 0 0 0 0 | 32.29/8.52 | 0 1 0 0 0 | 32.29/8.52 | 0 0 1 0 0 | 32.29/8.52 | 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 | 32.29/8.52 \ / 32.29/8.52 3 is interpreted by 32.29/8.52 / \ 32.29/8.52 | 1 0 0 0 0 | 32.29/8.52 | 0 1 0 0 0 | 32.29/8.52 | 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 | 32.29/8.52 \ / 32.29/8.52 4 is interpreted by 32.29/8.52 / \ 32.29/8.52 | 1 0 0 0 0 | 32.29/8.52 | 0 1 0 0 0 | 32.29/8.52 | 0 0 0 1 0 | 32.29/8.52 | 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 | 32.29/8.52 \ / 32.29/8.52 5 is interpreted by 32.29/8.52 / \ 32.29/8.52 | 1 0 1 0 0 | 32.29/8.52 | 0 1 0 0 0 | 32.29/8.52 | 0 0 0 0 0 | 32.29/8.52 | 0 1 0 0 0 | 32.29/8.52 | 0 1 0 0 0 | 32.29/8.52 \ / 32.29/8.52 32.29/8.52 Remains to prove termination of the 31-rule system 32.29/8.52 { 0 1 0 0 -> 2 0 2 0 0 1 , 32.29/8.52 1 0 0 1 -> 1 0 3 0 1 , 32.29/8.52 1 0 0 4 -> 1 4 0 2 0 , 32.29/8.52 1 0 0 4 -> 1 4 0 3 2 0 , 32.29/8.52 1 0 1 0 -> 1 3 0 0 3 1 , 32.29/8.52 1 0 1 4 -> 1 0 3 1 2 4 , 32.29/8.52 1 0 4 1 -> 1 0 3 4 1 , 32.29/8.52 1 2 0 4 -> 1 3 4 2 0 , 32.29/8.52 1 3 0 4 -> 1 3 4 2 0 , 32.29/8.52 1 4 1 0 -> 1 4 0 2 1 , 32.29/8.52 1 4 1 0 -> 1 4 0 3 1 , 32.29/8.52 1 5 0 1 -> 0 1 3 1 3 5 , 32.29/8.52 1 5 0 1 -> 1 5 0 3 1 3 , 32.29/8.52 4 1 0 0 -> 0 2 4 2 0 1 , 32.29/8.52 4 1 0 0 -> 0 3 4 3 0 1 , 32.29/8.52 4 1 2 0 -> 3 0 2 1 3 4 , 32.29/8.52 4 5 0 0 -> 3 0 4 0 5 , 32.29/8.52 5 0 0 4 -> 5 4 0 2 0 , 32.29/8.52 5 0 1 4 -> 1 5 4 3 0 , 32.29/8.52 1 0 4 0 4 -> 1 0 4 3 4 0 , 32.29/8.52 1 1 1 0 0 -> 1 1 0 0 3 1 , 32.29/8.52 4 1 0 0 1 -> 1 0 4 0 3 1 , 32.29/8.52 4 1 2 0 0 -> 4 2 0 0 2 1 , 32.29/8.52 4 1 3 0 5 -> 3 2 4 0 1 5 , 32.29/8.52 4 5 0 1 0 -> 4 0 0 5 3 1 , 32.29/8.52 4 5 1 1 0 -> 1 1 3 4 0 5 , 32.29/8.52 4 5 1 1 0 -> 4 0 2 1 5 1 , 32.29/8.52 5 0 4 1 0 -> 5 0 4 0 3 1 , 32.29/8.52 5 1 5 0 1 -> 5 0 3 5 1 1 , 32.29/8.52 5 4 1 1 0 -> 1 2 4 0 1 5 , 32.29/8.52 5 5 2 0 4 -> 5 5 3 4 2 0 } 32.29/8.52 32.29/8.52 32.29/8.52 The system was filtered by the following matrix interpretation 32.29/8.52 of type E_J with J = {1,...,2} and dimension 9: 32.29/8.52 32.29/8.52 0 is interpreted by 32.29/8.52 / \ 32.29/8.52 | 1 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 1 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 1 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 1 0 0 0 1 0 0 | 32.29/8.52 \ / 32.29/8.52 1 is interpreted by 32.29/8.52 / \ 32.29/8.52 | 1 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 1 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 1 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 1 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 \ / 32.29/8.52 2 is interpreted by 32.29/8.52 / \ 32.29/8.52 | 1 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 1 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 1 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 \ / 32.29/8.52 3 is interpreted by 32.29/8.52 / \ 32.29/8.52 | 1 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 1 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 1 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 \ / 32.29/8.52 4 is interpreted by 32.29/8.52 / \ 32.29/8.52 | 1 0 1 0 0 0 1 0 0 | 32.29/8.52 | 0 1 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 \ / 32.29/8.52 5 is interpreted by 32.29/8.52 / \ 32.29/8.52 | 1 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 1 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 1 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 | 32.29/8.52 \ / 32.29/8.52 32.29/8.52 Remains to prove termination of the 30-rule system 32.29/8.52 { 0 1 0 0 -> 2 0 2 0 0 1 , 32.29/8.52 1 0 0 1 -> 1 0 3 0 1 , 32.29/8.52 1 0 0 4 -> 1 4 0 2 0 , 32.29/8.52 1 0 0 4 -> 1 4 0 3 2 0 , 32.29/8.52 1 0 1 0 -> 1 3 0 0 3 1 , 32.29/8.52 1 0 1 4 -> 1 0 3 1 2 4 , 32.29/8.52 1 0 4 1 -> 1 0 3 4 1 , 32.29/8.52 1 2 0 4 -> 1 3 4 2 0 , 32.29/8.52 1 3 0 4 -> 1 3 4 2 0 , 32.29/8.52 1 4 1 0 -> 1 4 0 2 1 , 32.29/8.52 1 4 1 0 -> 1 4 0 3 1 , 32.29/8.52 1 5 0 1 -> 0 1 3 1 3 5 , 32.29/8.52 1 5 0 1 -> 1 5 0 3 1 3 , 32.29/8.52 4 1 0 0 -> 0 2 4 2 0 1 , 32.29/8.52 4 1 0 0 -> 0 3 4 3 0 1 , 32.29/8.52 4 1 2 0 -> 3 0 2 1 3 4 , 32.29/8.52 4 5 0 0 -> 3 0 4 0 5 , 32.29/8.52 5 0 0 4 -> 5 4 0 2 0 , 32.29/8.52 5 0 1 4 -> 1 5 4 3 0 , 32.29/8.52 1 0 4 0 4 -> 1 0 4 3 4 0 , 32.29/8.52 1 1 1 0 0 -> 1 1 0 0 3 1 , 32.29/8.52 4 1 0 0 1 -> 1 0 4 0 3 1 , 32.29/8.52 4 1 2 0 0 -> 4 2 0 0 2 1 , 32.29/8.52 4 5 0 1 0 -> 4 0 0 5 3 1 , 32.29/8.52 4 5 1 1 0 -> 1 1 3 4 0 5 , 32.29/8.52 4 5 1 1 0 -> 4 0 2 1 5 1 , 32.29/8.52 5 0 4 1 0 -> 5 0 4 0 3 1 , 32.29/8.52 5 1 5 0 1 -> 5 0 3 5 1 1 , 32.29/8.52 5 4 1 1 0 -> 1 2 4 0 1 5 , 32.29/8.52 5 5 2 0 4 -> 5 5 3 4 2 0 } 32.29/8.52 32.29/8.52 32.29/8.52 The system was filtered by the following matrix interpretation 32.29/8.52 of type E_J with J = {1,...,2} and dimension 12: 32.29/8.52 32.29/8.52 0 is interpreted by 32.29/8.52 / \ 32.29/8.52 | 1 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 1 0 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 1 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 1 0 1 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 1 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 1 0 0 0 1 0 0 | 32.29/8.52 \ / 32.29/8.52 1 is interpreted by 32.29/8.52 / \ 32.29/8.52 | 1 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 1 0 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 1 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 1 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 1 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 0 1 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.52 \ / 32.29/8.52 2 is interpreted by 32.29/8.52 / \ 32.29/8.52 | 1 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 1 0 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 0 0 1 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.52 \ / 32.29/8.52 3 is interpreted by 32.29/8.52 / \ 32.29/8.52 | 1 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 1 0 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.52 \ / 32.29/8.52 4 is interpreted by 32.29/8.52 / \ 32.29/8.52 | 1 0 0 0 0 1 0 0 0 1 0 0 | 32.29/8.52 | 0 1 0 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 1 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 1 0 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.52 \ / 32.29/8.52 5 is interpreted by 32.29/8.52 / \ 32.29/8.52 | 1 0 1 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 1 0 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 1 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 32.29/8.53 Remains to prove termination of the 29-rule system 32.29/8.53 { 0 1 0 0 -> 2 0 2 0 0 1 , 32.29/8.53 1 0 0 1 -> 1 0 3 0 1 , 32.29/8.53 1 0 0 4 -> 1 4 0 2 0 , 32.29/8.53 1 0 0 4 -> 1 4 0 3 2 0 , 32.29/8.53 1 0 1 0 -> 1 3 0 0 3 1 , 32.29/8.53 1 0 1 4 -> 1 0 3 1 2 4 , 32.29/8.53 1 0 4 1 -> 1 0 3 4 1 , 32.29/8.53 1 2 0 4 -> 1 3 4 2 0 , 32.29/8.53 1 3 0 4 -> 1 3 4 2 0 , 32.29/8.53 1 4 1 0 -> 1 4 0 2 1 , 32.29/8.53 1 4 1 0 -> 1 4 0 3 1 , 32.29/8.53 1 5 0 1 -> 0 1 3 1 3 5 , 32.29/8.53 1 5 0 1 -> 1 5 0 3 1 3 , 32.29/8.53 4 1 0 0 -> 0 2 4 2 0 1 , 32.29/8.53 4 1 0 0 -> 0 3 4 3 0 1 , 32.29/8.53 4 1 2 0 -> 3 0 2 1 3 4 , 32.29/8.53 4 5 0 0 -> 3 0 4 0 5 , 32.29/8.53 5 0 1 4 -> 1 5 4 3 0 , 32.29/8.53 1 0 4 0 4 -> 1 0 4 3 4 0 , 32.29/8.53 1 1 1 0 0 -> 1 1 0 0 3 1 , 32.29/8.53 4 1 0 0 1 -> 1 0 4 0 3 1 , 32.29/8.53 4 1 2 0 0 -> 4 2 0 0 2 1 , 32.29/8.53 4 5 0 1 0 -> 4 0 0 5 3 1 , 32.29/8.53 4 5 1 1 0 -> 1 1 3 4 0 5 , 32.29/8.53 4 5 1 1 0 -> 4 0 2 1 5 1 , 32.29/8.53 5 0 4 1 0 -> 5 0 4 0 3 1 , 32.29/8.53 5 1 5 0 1 -> 5 0 3 5 1 1 , 32.29/8.53 5 4 1 1 0 -> 1 2 4 0 1 5 , 32.29/8.53 5 5 2 0 4 -> 5 5 3 4 2 0 } 32.29/8.53 32.29/8.53 32.29/8.53 The system was filtered by the following matrix interpretation 32.29/8.53 of type E_J with J = {1,...,2} and dimension 13: 32.29/8.53 32.29/8.53 0 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 1 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 1 0 0 0 1 0 0 | 32.29/8.53 \ / 32.29/8.53 1 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 32.29/8.53 | 0 0 1 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 2 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 3 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 4 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 0 0 0 0 1 0 0 0 1 0 0 | 32.29/8.53 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 5 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 32.29/8.53 Remains to prove termination of the 28-rule system 32.29/8.53 { 0 1 0 0 -> 2 0 2 0 0 1 , 32.29/8.53 1 0 0 1 -> 1 0 3 0 1 , 32.29/8.53 1 0 0 4 -> 1 4 0 2 0 , 32.29/8.53 1 0 0 4 -> 1 4 0 3 2 0 , 32.29/8.53 1 0 1 0 -> 1 3 0 0 3 1 , 32.29/8.53 1 0 1 4 -> 1 0 3 1 2 4 , 32.29/8.53 1 0 4 1 -> 1 0 3 4 1 , 32.29/8.53 1 2 0 4 -> 1 3 4 2 0 , 32.29/8.53 1 3 0 4 -> 1 3 4 2 0 , 32.29/8.53 1 4 1 0 -> 1 4 0 2 1 , 32.29/8.53 1 4 1 0 -> 1 4 0 3 1 , 32.29/8.53 1 5 0 1 -> 0 1 3 1 3 5 , 32.29/8.53 1 5 0 1 -> 1 5 0 3 1 3 , 32.29/8.53 4 1 0 0 -> 0 2 4 2 0 1 , 32.29/8.53 4 1 0 0 -> 0 3 4 3 0 1 , 32.29/8.53 4 1 2 0 -> 3 0 2 1 3 4 , 32.29/8.53 4 5 0 0 -> 3 0 4 0 5 , 32.29/8.53 5 0 1 4 -> 1 5 4 3 0 , 32.29/8.53 1 0 4 0 4 -> 1 0 4 3 4 0 , 32.29/8.53 1 1 1 0 0 -> 1 1 0 0 3 1 , 32.29/8.53 4 1 0 0 1 -> 1 0 4 0 3 1 , 32.29/8.53 4 1 2 0 0 -> 4 2 0 0 2 1 , 32.29/8.53 4 5 0 1 0 -> 4 0 0 5 3 1 , 32.29/8.53 4 5 1 1 0 -> 1 1 3 4 0 5 , 32.29/8.53 4 5 1 1 0 -> 4 0 2 1 5 1 , 32.29/8.53 5 0 4 1 0 -> 5 0 4 0 3 1 , 32.29/8.53 5 1 5 0 1 -> 5 0 3 5 1 1 , 32.29/8.53 5 4 1 1 0 -> 1 2 4 0 1 5 } 32.29/8.53 32.29/8.53 32.29/8.53 The system was filtered by the following matrix interpretation 32.29/8.53 of type E_J with J = {1,...,2} and dimension 9: 32.29/8.53 32.29/8.53 0 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 1 0 0 0 1 0 0 | 32.29/8.53 \ / 32.29/8.53 1 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 1 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 1 0 0 0 | 32.29/8.53 | 0 0 0 0 0 1 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 1 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 2 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 1 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 3 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 4 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 1 0 0 0 1 0 0 | 32.29/8.53 | 0 1 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 1 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 5 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 1 0 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 32.29/8.53 Remains to prove termination of the 26-rule system 32.29/8.53 { 0 1 0 0 -> 2 0 2 0 0 1 , 32.29/8.53 1 0 0 1 -> 1 0 3 0 1 , 32.29/8.53 1 0 0 4 -> 1 4 0 2 0 , 32.29/8.53 1 0 0 4 -> 1 4 0 3 2 0 , 32.29/8.53 1 0 1 0 -> 1 3 0 0 3 1 , 32.29/8.53 1 0 1 4 -> 1 0 3 1 2 4 , 32.29/8.53 1 0 4 1 -> 1 0 3 4 1 , 32.29/8.53 1 2 0 4 -> 1 3 4 2 0 , 32.29/8.53 1 3 0 4 -> 1 3 4 2 0 , 32.29/8.53 1 4 1 0 -> 1 4 0 2 1 , 32.29/8.53 1 4 1 0 -> 1 4 0 3 1 , 32.29/8.53 1 5 0 1 -> 0 1 3 1 3 5 , 32.29/8.53 1 5 0 1 -> 1 5 0 3 1 3 , 32.29/8.53 4 1 0 0 -> 0 2 4 2 0 1 , 32.29/8.53 4 1 0 0 -> 0 3 4 3 0 1 , 32.29/8.53 4 1 2 0 -> 3 0 2 1 3 4 , 32.29/8.53 4 5 0 0 -> 3 0 4 0 5 , 32.29/8.53 5 0 1 4 -> 1 5 4 3 0 , 32.29/8.53 1 0 4 0 4 -> 1 0 4 3 4 0 , 32.29/8.53 1 1 1 0 0 -> 1 1 0 0 3 1 , 32.29/8.53 4 1 0 0 1 -> 1 0 4 0 3 1 , 32.29/8.53 4 1 2 0 0 -> 4 2 0 0 2 1 , 32.29/8.53 4 5 0 1 0 -> 4 0 0 5 3 1 , 32.29/8.53 5 0 4 1 0 -> 5 0 4 0 3 1 , 32.29/8.53 5 1 5 0 1 -> 5 0 3 5 1 1 , 32.29/8.53 5 4 1 1 0 -> 1 2 4 0 1 5 } 32.29/8.53 32.29/8.53 32.29/8.53 The system was filtered by the following matrix interpretation 32.29/8.53 of type E_J with J = {1,...,2} and dimension 9: 32.29/8.53 32.29/8.53 0 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 1 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 1 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 1 0 0 0 1 0 0 | 32.29/8.53 \ / 32.29/8.53 1 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 1 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 1 0 0 0 | 32.29/8.53 | 0 1 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 1 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 2 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 1 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 3 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 4 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 1 0 0 0 1 0 0 | 32.29/8.53 | 0 1 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 1 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 5 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 32.29/8.53 Remains to prove termination of the 25-rule system 32.29/8.53 { 0 1 0 0 -> 2 0 2 0 0 1 , 32.29/8.53 1 0 0 1 -> 1 0 3 0 1 , 32.29/8.53 1 0 0 4 -> 1 4 0 2 0 , 32.29/8.53 1 0 0 4 -> 1 4 0 3 2 0 , 32.29/8.53 1 0 1 0 -> 1 3 0 0 3 1 , 32.29/8.53 1 0 1 4 -> 1 0 3 1 2 4 , 32.29/8.53 1 0 4 1 -> 1 0 3 4 1 , 32.29/8.53 1 2 0 4 -> 1 3 4 2 0 , 32.29/8.53 1 3 0 4 -> 1 3 4 2 0 , 32.29/8.53 1 4 1 0 -> 1 4 0 2 1 , 32.29/8.53 1 4 1 0 -> 1 4 0 3 1 , 32.29/8.53 1 5 0 1 -> 0 1 3 1 3 5 , 32.29/8.53 1 5 0 1 -> 1 5 0 3 1 3 , 32.29/8.53 4 1 0 0 -> 0 2 4 2 0 1 , 32.29/8.53 4 1 0 0 -> 0 3 4 3 0 1 , 32.29/8.53 4 1 2 0 -> 3 0 2 1 3 4 , 32.29/8.53 4 5 0 0 -> 3 0 4 0 5 , 32.29/8.53 5 0 1 4 -> 1 5 4 3 0 , 32.29/8.53 1 0 4 0 4 -> 1 0 4 3 4 0 , 32.29/8.53 1 1 1 0 0 -> 1 1 0 0 3 1 , 32.29/8.53 4 1 2 0 0 -> 4 2 0 0 2 1 , 32.29/8.53 4 5 0 1 0 -> 4 0 0 5 3 1 , 32.29/8.53 5 0 4 1 0 -> 5 0 4 0 3 1 , 32.29/8.53 5 1 5 0 1 -> 5 0 3 5 1 1 , 32.29/8.53 5 4 1 1 0 -> 1 2 4 0 1 5 } 32.29/8.53 32.29/8.53 32.29/8.53 The system was filtered by the following matrix interpretation 32.29/8.53 of type E_J with J = {1,...,2} and dimension 6: 32.29/8.53 32.29/8.53 0 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 1 0 0 0 | 32.29/8.53 | 0 1 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 1 0 | 32.29/8.53 | 0 0 0 1 0 0 | 32.29/8.53 | 0 1 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 1 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 1 | 32.29/8.53 | 0 1 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 2 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 3 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 4 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 1 0 0 0 | 32.29/8.53 | 0 1 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 5 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 0 | 32.29/8.53 | 0 0 0 1 0 0 | 32.29/8.53 | 0 0 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 32.29/8.53 Remains to prove termination of the 24-rule system 32.29/8.53 { 0 1 0 0 -> 2 0 2 0 0 1 , 32.29/8.53 1 0 0 1 -> 1 0 3 0 1 , 32.29/8.53 1 0 0 4 -> 1 4 0 2 0 , 32.29/8.53 1 0 0 4 -> 1 4 0 3 2 0 , 32.29/8.53 1 0 1 0 -> 1 3 0 0 3 1 , 32.29/8.53 1 0 1 4 -> 1 0 3 1 2 4 , 32.29/8.53 1 0 4 1 -> 1 0 3 4 1 , 32.29/8.53 1 2 0 4 -> 1 3 4 2 0 , 32.29/8.53 1 3 0 4 -> 1 3 4 2 0 , 32.29/8.53 1 4 1 0 -> 1 4 0 2 1 , 32.29/8.53 1 4 1 0 -> 1 4 0 3 1 , 32.29/8.53 1 5 0 1 -> 0 1 3 1 3 5 , 32.29/8.53 1 5 0 1 -> 1 5 0 3 1 3 , 32.29/8.53 4 1 0 0 -> 0 2 4 2 0 1 , 32.29/8.53 4 1 0 0 -> 0 3 4 3 0 1 , 32.29/8.53 4 1 2 0 -> 3 0 2 1 3 4 , 32.29/8.53 4 5 0 0 -> 3 0 4 0 5 , 32.29/8.53 5 0 1 4 -> 1 5 4 3 0 , 32.29/8.53 1 0 4 0 4 -> 1 0 4 3 4 0 , 32.29/8.53 1 1 1 0 0 -> 1 1 0 0 3 1 , 32.29/8.53 4 1 2 0 0 -> 4 2 0 0 2 1 , 32.29/8.53 5 0 4 1 0 -> 5 0 4 0 3 1 , 32.29/8.53 5 1 5 0 1 -> 5 0 3 5 1 1 , 32.29/8.53 5 4 1 1 0 -> 1 2 4 0 1 5 } 32.29/8.53 32.29/8.53 32.29/8.53 The system was filtered by the following matrix interpretation 32.29/8.53 of type E_J with J = {1,...,2} and dimension 14: 32.29/8.53 32.29/8.53 0 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 32.29/8.53 | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 1 0 0 1 0 0 | 32.29/8.53 \ / 32.29/8.53 1 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 1 0 1 1 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 2 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 3 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 4 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 0 0 0 0 0 0 1 0 0 1 0 0 | 32.29/8.53 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 5 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 32.29/8.53 Remains to prove termination of the 23-rule system 32.29/8.53 { 0 1 0 0 -> 2 0 2 0 0 1 , 32.29/8.53 1 0 0 1 -> 1 0 3 0 1 , 32.29/8.53 1 0 0 4 -> 1 4 0 2 0 , 32.29/8.53 1 0 0 4 -> 1 4 0 3 2 0 , 32.29/8.53 1 0 1 0 -> 1 3 0 0 3 1 , 32.29/8.53 1 0 1 4 -> 1 0 3 1 2 4 , 32.29/8.53 1 0 4 1 -> 1 0 3 4 1 , 32.29/8.53 1 2 0 4 -> 1 3 4 2 0 , 32.29/8.53 1 3 0 4 -> 1 3 4 2 0 , 32.29/8.53 1 4 1 0 -> 1 4 0 2 1 , 32.29/8.53 1 4 1 0 -> 1 4 0 3 1 , 32.29/8.53 1 5 0 1 -> 0 1 3 1 3 5 , 32.29/8.53 1 5 0 1 -> 1 5 0 3 1 3 , 32.29/8.53 4 1 0 0 -> 0 2 4 2 0 1 , 32.29/8.53 4 1 0 0 -> 0 3 4 3 0 1 , 32.29/8.53 4 1 2 0 -> 3 0 2 1 3 4 , 32.29/8.53 4 5 0 0 -> 3 0 4 0 5 , 32.29/8.53 1 0 4 0 4 -> 1 0 4 3 4 0 , 32.29/8.53 1 1 1 0 0 -> 1 1 0 0 3 1 , 32.29/8.53 4 1 2 0 0 -> 4 2 0 0 2 1 , 32.29/8.53 5 0 4 1 0 -> 5 0 4 0 3 1 , 32.29/8.53 5 1 5 0 1 -> 5 0 3 5 1 1 , 32.29/8.53 5 4 1 1 0 -> 1 2 4 0 1 5 } 32.29/8.53 32.29/8.53 32.29/8.53 The system was filtered by the following matrix interpretation 32.29/8.53 of type E_J with J = {1,...,2} and dimension 6: 32.29/8.53 32.29/8.53 0 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 | 32.29/8.53 | 0 0 1 0 0 1 | 32.29/8.53 | 0 1 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 1 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 0 | 32.29/8.53 | 0 0 0 1 0 0 | 32.29/8.53 | 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 1 | 32.29/8.53 | 0 1 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 2 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 1 0 | 32.29/8.53 | 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 3 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 4 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 1 0 0 0 | 32.29/8.53 | 0 1 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 5 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 32.29/8.53 Remains to prove termination of the 22-rule system 32.29/8.53 { 0 1 0 0 -> 2 0 2 0 0 1 , 32.29/8.53 1 0 0 1 -> 1 0 3 0 1 , 32.29/8.53 1 0 0 4 -> 1 4 0 2 0 , 32.29/8.53 1 0 0 4 -> 1 4 0 3 2 0 , 32.29/8.53 1 0 1 0 -> 1 3 0 0 3 1 , 32.29/8.53 1 0 1 4 -> 1 0 3 1 2 4 , 32.29/8.53 1 0 4 1 -> 1 0 3 4 1 , 32.29/8.53 1 2 0 4 -> 1 3 4 2 0 , 32.29/8.53 1 3 0 4 -> 1 3 4 2 0 , 32.29/8.53 1 4 1 0 -> 1 4 0 2 1 , 32.29/8.53 1 4 1 0 -> 1 4 0 3 1 , 32.29/8.53 1 5 0 1 -> 0 1 3 1 3 5 , 32.29/8.53 1 5 0 1 -> 1 5 0 3 1 3 , 32.29/8.53 4 1 0 0 -> 0 2 4 2 0 1 , 32.29/8.53 4 1 0 0 -> 0 3 4 3 0 1 , 32.29/8.53 4 1 2 0 -> 3 0 2 1 3 4 , 32.29/8.53 4 5 0 0 -> 3 0 4 0 5 , 32.29/8.53 1 0 4 0 4 -> 1 0 4 3 4 0 , 32.29/8.53 1 1 1 0 0 -> 1 1 0 0 3 1 , 32.29/8.53 5 0 4 1 0 -> 5 0 4 0 3 1 , 32.29/8.53 5 1 5 0 1 -> 5 0 3 5 1 1 , 32.29/8.53 5 4 1 1 0 -> 1 2 4 0 1 5 } 32.29/8.53 32.29/8.53 32.29/8.53 The system was filtered by the following matrix interpretation 32.29/8.53 of type E_J with J = {1,...,2} and dimension 5: 32.29/8.53 32.29/8.53 0 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 1 0 0 | 32.29/8.53 | 0 1 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 1 | 32.29/8.53 | 0 1 0 1 0 | 32.29/8.53 \ / 32.29/8.53 1 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 | 0 0 1 0 0 | 32.29/8.53 | 0 1 0 0 0 | 32.29/8.53 \ / 32.29/8.53 2 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 3 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 4 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 1 0 0 | 32.29/8.53 | 0 1 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 | 32.29/8.53 \ / 32.29/8.53 5 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 | 32.29/8.53 | 0 0 0 1 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 | 32.29/8.53 \ / 32.29/8.53 32.29/8.53 Remains to prove termination of the 21-rule system 32.29/8.53 { 0 1 0 0 -> 2 0 2 0 0 1 , 32.29/8.53 1 0 0 1 -> 1 0 3 0 1 , 32.29/8.53 1 0 0 4 -> 1 4 0 2 0 , 32.29/8.53 1 0 0 4 -> 1 4 0 3 2 0 , 32.29/8.53 1 0 1 0 -> 1 3 0 0 3 1 , 32.29/8.53 1 0 1 4 -> 1 0 3 1 2 4 , 32.29/8.53 1 0 4 1 -> 1 0 3 4 1 , 32.29/8.53 1 2 0 4 -> 1 3 4 2 0 , 32.29/8.53 1 3 0 4 -> 1 3 4 2 0 , 32.29/8.53 1 4 1 0 -> 1 4 0 2 1 , 32.29/8.53 1 4 1 0 -> 1 4 0 3 1 , 32.29/8.53 1 5 0 1 -> 0 1 3 1 3 5 , 32.29/8.53 1 5 0 1 -> 1 5 0 3 1 3 , 32.29/8.53 4 1 0 0 -> 0 2 4 2 0 1 , 32.29/8.53 4 1 0 0 -> 0 3 4 3 0 1 , 32.29/8.53 4 1 2 0 -> 3 0 2 1 3 4 , 32.29/8.53 1 0 4 0 4 -> 1 0 4 3 4 0 , 32.29/8.53 1 1 1 0 0 -> 1 1 0 0 3 1 , 32.29/8.53 5 0 4 1 0 -> 5 0 4 0 3 1 , 32.29/8.53 5 1 5 0 1 -> 5 0 3 5 1 1 , 32.29/8.53 5 4 1 1 0 -> 1 2 4 0 1 5 } 32.29/8.53 32.29/8.53 32.29/8.53 The system was filtered by the following matrix interpretation 32.29/8.53 of type E_J with J = {1,...,2} and dimension 8: 32.29/8.53 32.29/8.53 0 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 0 0 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 1 0 0 0 | 32.29/8.53 | 0 1 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 1 0 0 1 0 0 | 32.29/8.53 \ / 32.29/8.53 1 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 0 0 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 1 0 0 0 0 | 32.29/8.53 | 0 0 0 0 1 0 0 0 | 32.29/8.53 | 0 1 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 1 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 2 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 0 0 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 1 | 32.29/8.53 | 0 0 0 0 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 3 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 0 0 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 4 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 1 0 0 1 0 0 | 32.29/8.53 | 0 1 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 5 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 0 0 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 32.29/8.53 Remains to prove termination of the 18-rule system 32.29/8.53 { 0 1 0 0 -> 2 0 2 0 0 1 , 32.29/8.53 1 0 0 1 -> 1 0 3 0 1 , 32.29/8.53 1 0 0 4 -> 1 4 0 2 0 , 32.29/8.53 1 0 0 4 -> 1 4 0 3 2 0 , 32.29/8.53 1 0 1 0 -> 1 3 0 0 3 1 , 32.29/8.53 1 0 1 4 -> 1 0 3 1 2 4 , 32.29/8.53 1 0 4 1 -> 1 0 3 4 1 , 32.29/8.53 1 2 0 4 -> 1 3 4 2 0 , 32.29/8.53 1 3 0 4 -> 1 3 4 2 0 , 32.29/8.53 1 4 1 0 -> 1 4 0 2 1 , 32.29/8.53 1 4 1 0 -> 1 4 0 3 1 , 32.29/8.53 1 5 0 1 -> 0 1 3 1 3 5 , 32.29/8.53 1 5 0 1 -> 1 5 0 3 1 3 , 32.29/8.53 4 1 2 0 -> 3 0 2 1 3 4 , 32.29/8.53 1 0 4 0 4 -> 1 0 4 3 4 0 , 32.29/8.53 1 1 1 0 0 -> 1 1 0 0 3 1 , 32.29/8.53 5 0 4 1 0 -> 5 0 4 0 3 1 , 32.29/8.53 5 1 5 0 1 -> 5 0 3 5 1 1 } 32.29/8.53 32.29/8.53 32.29/8.53 The system was filtered by the following matrix interpretation 32.29/8.53 of type E_J with J = {1,...,2} and dimension 6: 32.29/8.53 32.29/8.53 0 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 0 | 32.29/8.53 | 0 0 0 1 0 0 | 32.29/8.53 | 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 1 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 | 32.29/8.53 | 0 0 1 0 0 0 | 32.29/8.53 | 0 0 0 0 0 1 | 32.29/8.53 | 0 1 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 2 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 3 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 4 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 1 0 | 32.29/8.53 | 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 5 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 1 0 0 0 | 32.29/8.53 | 0 1 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 32.29/8.53 Remains to prove termination of the 17-rule system 32.29/8.53 { 0 1 0 0 -> 2 0 2 0 0 1 , 32.29/8.53 1 0 0 1 -> 1 0 3 0 1 , 32.29/8.53 1 0 0 4 -> 1 4 0 2 0 , 32.29/8.53 1 0 0 4 -> 1 4 0 3 2 0 , 32.29/8.53 1 0 1 0 -> 1 3 0 0 3 1 , 32.29/8.53 1 0 1 4 -> 1 0 3 1 2 4 , 32.29/8.53 1 0 4 1 -> 1 0 3 4 1 , 32.29/8.53 1 2 0 4 -> 1 3 4 2 0 , 32.29/8.53 1 3 0 4 -> 1 3 4 2 0 , 32.29/8.53 1 4 1 0 -> 1 4 0 2 1 , 32.29/8.53 1 4 1 0 -> 1 4 0 3 1 , 32.29/8.53 1 5 0 1 -> 0 1 3 1 3 5 , 32.29/8.53 1 5 0 1 -> 1 5 0 3 1 3 , 32.29/8.53 4 1 2 0 -> 3 0 2 1 3 4 , 32.29/8.53 1 0 4 0 4 -> 1 0 4 3 4 0 , 32.29/8.53 1 1 1 0 0 -> 1 1 0 0 3 1 , 32.29/8.53 5 1 5 0 1 -> 5 0 3 5 1 1 } 32.29/8.53 32.29/8.53 32.29/8.53 The system was filtered by the following matrix interpretation 32.29/8.53 of type E_J with J = {1,...,2} and dimension 5: 32.29/8.53 32.29/8.53 0 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 | 32.29/8.53 | 0 1 1 0 0 | 32.29/8.53 \ / 32.29/8.53 1 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 | 32.29/8.53 | 0 0 0 1 0 | 32.29/8.53 | 0 1 0 0 0 | 32.29/8.53 | 0 1 0 0 0 | 32.29/8.53 \ / 32.29/8.53 2 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 1 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 3 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 4 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 1 0 0 | 32.29/8.53 | 0 1 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 5 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 32.29/8.53 Remains to prove termination of the 14-rule system 32.29/8.53 { 0 1 0 0 -> 2 0 2 0 0 1 , 32.29/8.53 1 0 0 1 -> 1 0 3 0 1 , 32.29/8.53 1 0 0 4 -> 1 4 0 2 0 , 32.29/8.53 1 0 0 4 -> 1 4 0 3 2 0 , 32.29/8.53 1 0 1 0 -> 1 3 0 0 3 1 , 32.29/8.53 1 0 1 4 -> 1 0 3 1 2 4 , 32.29/8.53 1 0 4 1 -> 1 0 3 4 1 , 32.29/8.53 1 2 0 4 -> 1 3 4 2 0 , 32.29/8.53 1 3 0 4 -> 1 3 4 2 0 , 32.29/8.53 1 5 0 1 -> 0 1 3 1 3 5 , 32.29/8.53 1 5 0 1 -> 1 5 0 3 1 3 , 32.29/8.53 1 0 4 0 4 -> 1 0 4 3 4 0 , 32.29/8.53 1 1 1 0 0 -> 1 1 0 0 3 1 , 32.29/8.53 5 1 5 0 1 -> 5 0 3 5 1 1 } 32.29/8.53 32.29/8.53 32.29/8.53 The system was filtered by the following matrix interpretation 32.29/8.53 of type E_J with J = {1,...,2} and dimension 5: 32.29/8.53 32.29/8.53 0 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 | 32.29/8.53 | 0 0 1 1 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 1 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 1 0 0 | 32.29/8.53 | 0 1 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 | 32.29/8.53 \ / 32.29/8.53 2 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 3 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 4 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 1 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 5 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 32.29/8.53 Remains to prove termination of the 13-rule system 32.29/8.53 { 0 1 0 0 -> 2 0 2 0 0 1 , 32.29/8.53 1 0 0 1 -> 1 0 3 0 1 , 32.29/8.53 1 0 0 4 -> 1 4 0 2 0 , 32.29/8.53 1 0 0 4 -> 1 4 0 3 2 0 , 32.29/8.53 1 0 1 0 -> 1 3 0 0 3 1 , 32.29/8.53 1 0 1 4 -> 1 0 3 1 2 4 , 32.29/8.53 1 2 0 4 -> 1 3 4 2 0 , 32.29/8.53 1 3 0 4 -> 1 3 4 2 0 , 32.29/8.53 1 5 0 1 -> 0 1 3 1 3 5 , 32.29/8.53 1 5 0 1 -> 1 5 0 3 1 3 , 32.29/8.53 1 0 4 0 4 -> 1 0 4 3 4 0 , 32.29/8.53 1 1 1 0 0 -> 1 1 0 0 3 1 , 32.29/8.53 5 1 5 0 1 -> 5 0 3 5 1 1 } 32.29/8.53 32.29/8.53 32.29/8.53 The system was filtered by the following matrix interpretation 32.29/8.53 of type E_J with J = {1,...,2} and dimension 6: 32.29/8.53 32.29/8.53 0 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 0 | 32.29/8.53 | 0 0 1 1 0 0 | 32.29/8.53 | 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 1 | 32.29/8.53 | 0 0 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 1 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 1 0 0 0 | 32.29/8.53 | 0 1 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 2 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 3 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 4 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 1 0 | 32.29/8.53 | 0 0 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 5 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 32.29/8.53 Remains to prove termination of the 12-rule system 32.29/8.53 { 0 1 0 0 -> 2 0 2 0 0 1 , 32.29/8.53 1 0 0 1 -> 1 0 3 0 1 , 32.29/8.53 1 0 0 4 -> 1 4 0 2 0 , 32.29/8.53 1 0 0 4 -> 1 4 0 3 2 0 , 32.29/8.53 1 0 1 0 -> 1 3 0 0 3 1 , 32.29/8.53 1 0 1 4 -> 1 0 3 1 2 4 , 32.29/8.53 1 2 0 4 -> 1 3 4 2 0 , 32.29/8.53 1 3 0 4 -> 1 3 4 2 0 , 32.29/8.53 1 5 0 1 -> 0 1 3 1 3 5 , 32.29/8.53 1 5 0 1 -> 1 5 0 3 1 3 , 32.29/8.53 1 1 1 0 0 -> 1 1 0 0 3 1 , 32.29/8.53 5 1 5 0 1 -> 5 0 3 5 1 1 } 32.29/8.53 32.29/8.53 32.29/8.53 The system was filtered by the following matrix interpretation 32.29/8.53 of type E_J with J = {1,...,2} and dimension 5: 32.29/8.53 32.29/8.53 0 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 | 32.29/8.53 | 0 0 1 1 0 | 32.29/8.53 | 0 0 0 0 1 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 1 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 1 0 0 | 32.29/8.53 | 0 1 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 2 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 3 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 4 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 | 32.29/8.53 \ / 32.29/8.53 5 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 32.29/8.53 Remains to prove termination of the 10-rule system 32.29/8.53 { 0 1 0 0 -> 2 0 2 0 0 1 , 32.29/8.53 1 0 0 1 -> 1 0 3 0 1 , 32.29/8.53 1 0 1 0 -> 1 3 0 0 3 1 , 32.29/8.53 1 0 1 4 -> 1 0 3 1 2 4 , 32.29/8.53 1 2 0 4 -> 1 3 4 2 0 , 32.29/8.53 1 3 0 4 -> 1 3 4 2 0 , 32.29/8.53 1 5 0 1 -> 0 1 3 1 3 5 , 32.29/8.53 1 5 0 1 -> 1 5 0 3 1 3 , 32.29/8.53 1 1 1 0 0 -> 1 1 0 0 3 1 , 32.29/8.53 5 1 5 0 1 -> 5 0 3 5 1 1 } 32.29/8.53 32.29/8.53 32.29/8.53 The system was filtered by the following matrix interpretation 32.29/8.53 of type E_J with J = {1,...,2} and dimension 5: 32.29/8.53 32.29/8.53 0 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 | 32.29/8.53 | 0 0 1 1 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 1 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 1 0 0 | 32.29/8.53 | 0 1 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 1 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 2 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 3 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 4 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 | 32.29/8.53 \ / 32.29/8.53 5 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 32.29/8.53 Remains to prove termination of the 9-rule system 32.29/8.53 { 0 1 0 0 -> 2 0 2 0 0 1 , 32.29/8.53 1 0 0 1 -> 1 0 3 0 1 , 32.29/8.53 1 0 1 0 -> 1 3 0 0 3 1 , 32.29/8.53 1 2 0 4 -> 1 3 4 2 0 , 32.29/8.53 1 3 0 4 -> 1 3 4 2 0 , 32.29/8.53 1 5 0 1 -> 0 1 3 1 3 5 , 32.29/8.53 1 5 0 1 -> 1 5 0 3 1 3 , 32.29/8.53 1 1 1 0 0 -> 1 1 0 0 3 1 , 32.29/8.53 5 1 5 0 1 -> 5 0 3 5 1 1 } 32.29/8.53 32.29/8.53 32.29/8.53 The system was filtered by the following matrix interpretation 32.29/8.53 of type E_J with J = {1,...,2} and dimension 5: 32.29/8.53 32.29/8.53 0 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 | 32.29/8.53 | 0 0 1 0 0 | 32.29/8.53 | 0 0 0 0 1 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 1 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 1 0 0 | 32.29/8.53 | 0 1 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 2 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 | 32.29/8.53 | 0 0 0 1 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 3 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 4 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 | 32.29/8.53 \ / 32.29/8.53 5 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 32.29/8.53 Remains to prove termination of the 8-rule system 32.29/8.53 { 0 1 0 0 -> 2 0 2 0 0 1 , 32.29/8.53 1 0 0 1 -> 1 0 3 0 1 , 32.29/8.53 1 0 1 0 -> 1 3 0 0 3 1 , 32.29/8.53 1 3 0 4 -> 1 3 4 2 0 , 32.29/8.53 1 5 0 1 -> 0 1 3 1 3 5 , 32.29/8.53 1 5 0 1 -> 1 5 0 3 1 3 , 32.29/8.53 1 1 1 0 0 -> 1 1 0 0 3 1 , 32.29/8.53 5 1 5 0 1 -> 5 0 3 5 1 1 } 32.29/8.53 32.29/8.53 32.29/8.53 The system was filtered by the following matrix interpretation 32.29/8.53 of type E_J with J = {1,...,2} and dimension 8: 32.29/8.53 32.29/8.53 0 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 1 0 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 1 0 0 0 0 | 32.29/8.53 | 0 0 0 0 1 0 0 0 | 32.29/8.53 | 0 1 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 1 | 32.29/8.53 | 0 0 0 0 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 1 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 0 0 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 1 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 1 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 2 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 0 0 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 3 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 0 0 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 4 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 1 0 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 5 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 0 0 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 1 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 32.29/8.53 Remains to prove termination of the 7-rule system 32.29/8.53 { 1 0 0 1 -> 1 0 3 0 1 , 32.29/8.53 1 0 1 0 -> 1 3 0 0 3 1 , 32.29/8.53 1 3 0 4 -> 1 3 4 2 0 , 32.29/8.53 1 5 0 1 -> 0 1 3 1 3 5 , 32.29/8.53 1 5 0 1 -> 1 5 0 3 1 3 , 32.29/8.53 1 1 1 0 0 -> 1 1 0 0 3 1 , 32.29/8.53 5 1 5 0 1 -> 5 0 3 5 1 1 } 32.29/8.53 32.29/8.53 32.29/8.53 The system was filtered by the following matrix interpretation 32.29/8.53 of type E_J with J = {1,...,2} and dimension 5: 32.29/8.53 32.29/8.53 0 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 | 32.29/8.53 | 0 0 1 1 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 | 32.29/8.53 \ / 32.29/8.53 1 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 1 0 0 | 32.29/8.53 | 0 1 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 1 | 32.29/8.53 | 0 1 0 0 0 | 32.29/8.53 \ / 32.29/8.53 2 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 3 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 4 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 5 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 32.29/8.53 Remains to prove termination of the 6-rule system 32.29/8.53 { 1 0 0 1 -> 1 0 3 0 1 , 32.29/8.53 1 3 0 4 -> 1 3 4 2 0 , 32.29/8.53 1 5 0 1 -> 0 1 3 1 3 5 , 32.29/8.53 1 5 0 1 -> 1 5 0 3 1 3 , 32.29/8.53 1 1 1 0 0 -> 1 1 0 0 3 1 , 32.29/8.53 5 1 5 0 1 -> 5 0 3 5 1 1 } 32.29/8.53 32.29/8.53 32.29/8.53 The system was filtered by the following matrix interpretation 32.29/8.53 of type E_J with J = {1,...,2} and dimension 8: 32.29/8.53 32.29/8.53 0 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 0 0 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 1 0 0 0 0 | 32.29/8.53 | 0 0 1 0 1 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 1 | 32.29/8.53 | 0 0 0 0 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 1 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 1 0 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 1 0 0 | 32.29/8.53 | 0 1 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 2 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 0 0 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 3 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 0 0 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 4 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 0 0 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 5 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 0 0 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 1 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 32.29/8.53 Remains to prove termination of the 5-rule system 32.29/8.53 { 1 3 0 4 -> 1 3 4 2 0 , 32.29/8.53 1 5 0 1 -> 0 1 3 1 3 5 , 32.29/8.53 1 5 0 1 -> 1 5 0 3 1 3 , 32.29/8.53 1 1 1 0 0 -> 1 1 0 0 3 1 , 32.29/8.53 5 1 5 0 1 -> 5 0 3 5 1 1 } 32.29/8.53 32.29/8.53 32.29/8.53 The system was filtered by the following matrix interpretation 32.29/8.53 of type E_J with J = {1,...,2} and dimension 5: 32.29/8.53 32.29/8.53 0 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 1 0 0 | 32.29/8.53 | 0 1 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 1 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 1 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 1 0 0 | 32.29/8.53 | 0 1 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 | 32.29/8.53 | 0 1 0 0 0 | 32.29/8.53 \ / 32.29/8.53 2 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 3 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 4 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 1 0 0 | 32.29/8.53 | 0 1 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 5 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 | 32.29/8.53 | 0 0 0 1 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 32.29/8.53 Remains to prove termination of the 2-rule system 32.29/8.53 { 1 3 0 4 -> 1 3 4 2 0 , 32.29/8.53 1 1 1 0 0 -> 1 1 0 0 3 1 } 32.29/8.53 32.29/8.53 32.29/8.53 The system was filtered by the following matrix interpretation 32.29/8.53 of type E_J with J = {1,...,2} and dimension 5: 32.29/8.53 32.29/8.53 0 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 1 0 0 | 32.29/8.53 | 0 1 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 1 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 1 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 1 0 0 | 32.29/8.53 | 0 1 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 2 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 3 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 | 32.29/8.53 | 0 0 0 1 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 4 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 1 0 0 | 32.29/8.53 | 0 1 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 | 32.29/8.53 \ / 32.29/8.53 5 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 32.29/8.53 Remains to prove termination of the 1-rule system 32.29/8.53 { 1 1 1 0 0 -> 1 1 0 0 3 1 } 32.29/8.53 32.29/8.53 32.29/8.53 The system was filtered by the following matrix interpretation 32.29/8.53 of type E_J with J = {1,...,2} and dimension 6: 32.29/8.53 32.29/8.53 0 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 1 0 0 0 | 32.29/8.53 | 0 1 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 1 | 32.29/8.53 | 0 1 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 1 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 1 0 0 0 | 32.29/8.53 | 0 1 0 0 0 0 | 32.29/8.53 | 0 0 1 1 0 0 | 32.29/8.53 | 0 0 0 0 1 0 | 32.29/8.53 | 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 2 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 3 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 4 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 5 is interpreted by 32.29/8.53 / \ 32.29/8.53 | 1 0 0 0 0 0 | 32.29/8.53 | 0 1 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 | 32.29/8.53 | 0 0 0 0 0 0 | 32.29/8.53 \ / 32.29/8.53 32.29/8.53 Remains to prove termination of the 0-rule system 32.29/8.53 { } 32.29/8.53 32.29/8.53 32.29/8.53 The system is trivially terminating. 36.82/9.96 EOF