29.10/7.81 YES 29.41/7.93 29.41/7.93 29.41/7.93 The system was filtered by the following matrix interpretation 29.41/7.93 of type E_J with J = {1,...,2} and dimension 5: 29.41/7.93 29.41/7.93 0 is interpreted by 29.41/7.93 / \ 29.41/7.93 | 1 0 0 0 0 | 29.41/7.93 | 0 1 0 0 0 | 29.41/7.93 | 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 1 | 29.41/7.93 | 0 1 0 0 0 | 29.41/7.93 \ / 29.41/7.93 3 is interpreted by 29.41/7.93 / \ 29.41/7.93 | 1 0 1 0 0 | 29.41/7.93 | 0 1 0 0 0 | 29.41/7.93 | 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 | 29.41/7.93 \ / 29.41/7.93 4 is interpreted by 29.41/7.93 / \ 29.41/7.93 | 1 0 0 0 0 | 29.41/7.93 | 0 1 0 0 0 | 29.41/7.93 | 0 0 0 1 0 | 29.41/7.93 | 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 | 29.41/7.93 \ / 29.41/7.93 1 is interpreted by 29.41/7.93 / \ 29.41/7.93 | 1 0 0 0 0 | 29.41/7.93 | 0 1 0 0 0 | 29.41/7.93 | 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 | 29.41/7.93 \ / 29.41/7.93 2 is interpreted by 29.41/7.93 / \ 29.41/7.93 | 1 0 0 0 0 | 29.41/7.93 | 0 1 0 0 0 | 29.41/7.93 | 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 | 29.41/7.93 \ / 29.41/7.93 5 is interpreted by 29.41/7.93 / \ 29.41/7.93 | 1 0 0 0 0 | 29.41/7.93 | 0 1 0 0 0 | 29.41/7.93 | 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 | 29.41/7.93 | 0 1 0 0 0 | 29.41/7.93 \ / 29.41/7.93 29.41/7.93 Remains to prove termination of the 44-rule system 29.41/7.93 { 0 3 4 -> 3 1 2 1 2 1 1 3 5 4 , 29.41/7.93 3 2 5 -> 2 2 5 3 3 2 2 1 1 2 , 29.41/7.93 4 1 0 -> 1 2 0 2 4 4 4 4 4 4 , 29.41/7.93 0 0 5 0 -> 0 0 2 2 2 3 3 3 1 1 , 29.41/7.93 0 3 2 0 -> 3 4 1 2 3 2 4 0 1 1 , 29.41/7.93 4 5 5 4 -> 1 3 0 4 1 4 2 2 2 2 , 29.41/7.93 5 0 5 0 -> 5 2 4 2 5 2 2 3 2 4 , 29.41/7.93 0 3 4 3 4 -> 2 1 0 4 2 3 5 3 3 4 , 29.41/7.93 3 4 4 5 0 -> 2 2 1 1 3 5 1 2 2 0 , 29.41/7.93 4 3 0 0 2 -> 2 1 1 0 1 1 0 0 2 1 , 29.41/7.93 4 3 3 2 5 -> 1 1 1 4 2 5 2 1 4 5 , 29.41/7.93 4 5 1 5 4 -> 1 3 5 5 2 1 1 5 2 2 , 29.41/7.93 5 4 5 1 0 -> 2 1 1 5 3 1 4 2 1 0 , 29.41/7.93 5 5 1 3 5 -> 1 1 4 1 1 4 2 0 2 2 , 29.41/7.93 0 0 5 0 3 1 -> 0 0 4 1 1 4 5 2 3 1 , 29.41/7.93 0 3 5 0 5 1 -> 5 1 2 5 2 2 3 2 4 0 , 29.41/7.93 0 5 1 0 3 5 -> 2 1 3 2 2 5 1 1 3 5 , 29.41/7.93 0 5 5 4 5 1 -> 5 5 2 0 1 1 1 2 0 1 , 29.41/7.93 3 0 3 4 2 5 -> 1 1 5 5 5 1 2 2 2 2 , 29.41/7.93 3 5 2 5 3 1 -> 3 0 1 1 4 1 4 0 1 1 , 29.41/7.93 5 0 3 3 2 5 -> 2 0 1 3 0 4 3 5 1 1 , 29.41/7.93 5 4 0 3 4 3 -> 5 3 1 4 3 2 2 1 4 3 , 29.41/7.93 5 4 1 0 0 0 -> 3 5 2 2 1 2 2 4 3 2 , 29.41/7.93 5 4 5 3 3 0 -> 5 0 4 3 0 1 1 1 3 0 , 29.41/7.93 5 4 5 4 5 4 -> 1 0 0 3 0 1 1 2 1 4 , 29.41/7.93 5 5 0 4 5 4 -> 5 3 4 4 3 5 1 1 2 5 , 29.41/7.93 0 2 0 0 5 4 5 -> 0 2 1 2 1 4 0 4 4 5 , 29.41/7.93 0 2 0 2 5 0 5 -> 2 5 3 1 0 4 2 5 1 1 , 29.41/7.93 0 3 0 0 3 5 0 -> 0 3 2 4 2 2 2 5 2 0 , 29.41/7.93 0 3 4 4 0 1 5 -> 2 4 2 4 0 4 3 2 1 2 , 29.41/7.93 0 5 5 4 4 0 5 -> 2 1 1 5 0 5 0 4 4 5 , 29.41/7.93 1 2 0 3 2 3 3 -> 1 2 4 3 3 5 4 1 1 3 , 29.41/7.93 3 3 0 0 4 0 2 -> 4 1 1 5 0 1 2 5 5 1 , 29.41/7.93 3 5 0 5 5 5 4 -> 2 4 4 4 5 4 1 3 3 2 , 29.41/7.93 4 0 0 4 5 4 0 -> 4 3 1 2 1 3 4 0 3 1 , 29.41/7.93 4 0 4 0 5 4 5 -> 1 5 1 5 5 1 5 5 1 1 , 29.41/7.93 4 3 0 5 2 2 4 -> 1 2 4 1 2 0 0 4 1 4 , 29.41/7.93 4 3 4 4 3 3 5 -> 2 3 5 3 5 1 4 5 3 5 , 29.41/7.93 5 0 1 3 3 2 0 -> 5 2 1 3 5 1 5 1 1 1 , 29.41/7.93 5 0 5 0 5 0 3 -> 0 1 5 0 1 2 3 4 4 3 , 29.41/7.93 5 1 0 0 1 3 4 -> 5 5 3 2 4 1 2 3 3 4 , 29.41/7.93 5 2 0 3 0 2 4 -> 0 2 3 5 5 1 2 0 1 4 , 29.41/7.93 5 3 0 0 0 5 4 -> 5 1 1 5 3 2 4 4 0 0 , 29.41/7.93 5 4 3 3 0 5 3 -> 5 1 1 3 5 4 3 5 1 3 } 29.41/7.93 29.41/7.93 29.41/7.93 The system was filtered by the following matrix interpretation 29.41/7.93 of type E_J with J = {1,...,2} and dimension 7: 29.41/7.93 29.41/7.93 0 is interpreted by 29.41/7.93 / \ 29.41/7.93 | 1 0 0 0 0 0 0 | 29.41/7.93 | 0 1 0 0 0 0 0 | 29.41/7.93 | 0 0 0 1 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 | 29.41/7.93 | 0 1 0 0 0 1 0 | 29.41/7.93 | 0 1 0 0 0 0 0 | 29.41/7.93 \ / 29.41/7.93 3 is interpreted by 29.41/7.93 / \ 29.41/7.93 | 1 0 1 0 0 0 0 | 29.41/7.93 | 0 1 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 1 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 | 29.41/7.93 \ / 29.41/7.93 4 is interpreted by 29.41/7.93 / \ 29.41/7.93 | 1 0 0 0 0 0 0 | 29.41/7.93 | 0 1 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 1 0 | 29.41/7.93 | 0 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 | 29.41/7.93 \ / 29.41/7.93 1 is interpreted by 29.41/7.93 / \ 29.41/7.93 | 1 0 0 0 0 0 0 | 29.41/7.93 | 0 1 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 | 29.41/7.93 \ / 29.41/7.93 2 is interpreted by 29.41/7.93 / \ 29.41/7.93 | 1 0 0 0 0 0 0 | 29.41/7.93 | 0 1 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 1 | 29.41/7.93 | 0 0 0 0 0 0 0 | 29.41/7.93 \ / 29.41/7.93 5 is interpreted by 29.41/7.93 / \ 29.41/7.93 | 1 0 0 0 0 0 0 | 29.41/7.93 | 0 1 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 | 29.41/7.93 | 0 1 0 0 0 0 0 | 29.41/7.93 | 0 1 0 0 0 0 0 | 29.41/7.93 \ / 29.41/7.93 29.41/7.93 Remains to prove termination of the 43-rule system 29.41/7.93 { 0 3 4 -> 3 1 2 1 2 1 1 3 5 4 , 29.41/7.93 3 2 5 -> 2 2 5 3 3 2 2 1 1 2 , 29.41/7.93 4 1 0 -> 1 2 0 2 4 4 4 4 4 4 , 29.41/7.93 0 0 5 0 -> 0 0 2 2 2 3 3 3 1 1 , 29.41/7.93 0 3 2 0 -> 3 4 1 2 3 2 4 0 1 1 , 29.41/7.93 4 5 5 4 -> 1 3 0 4 1 4 2 2 2 2 , 29.41/7.93 5 0 5 0 -> 5 2 4 2 5 2 2 3 2 4 , 29.41/7.93 0 3 4 3 4 -> 2 1 0 4 2 3 5 3 3 4 , 29.41/7.93 3 4 4 5 0 -> 2 2 1 1 3 5 1 2 2 0 , 29.41/7.93 4 3 0 0 2 -> 2 1 1 0 1 1 0 0 2 1 , 29.41/7.93 4 3 3 2 5 -> 1 1 1 4 2 5 2 1 4 5 , 29.41/7.93 4 5 1 5 4 -> 1 3 5 5 2 1 1 5 2 2 , 29.41/7.93 5 4 5 1 0 -> 2 1 1 5 3 1 4 2 1 0 , 29.41/7.93 5 5 1 3 5 -> 1 1 4 1 1 4 2 0 2 2 , 29.41/7.93 0 0 5 0 3 1 -> 0 0 4 1 1 4 5 2 3 1 , 29.41/7.93 0 3 5 0 5 1 -> 5 1 2 5 2 2 3 2 4 0 , 29.41/7.93 0 5 1 0 3 5 -> 2 1 3 2 2 5 1 1 3 5 , 29.41/7.93 0 5 5 4 5 1 -> 5 5 2 0 1 1 1 2 0 1 , 29.41/7.93 3 5 2 5 3 1 -> 3 0 1 1 4 1 4 0 1 1 , 29.41/7.93 5 0 3 3 2 5 -> 2 0 1 3 0 4 3 5 1 1 , 29.41/7.93 5 4 0 3 4 3 -> 5 3 1 4 3 2 2 1 4 3 , 29.41/7.93 5 4 1 0 0 0 -> 3 5 2 2 1 2 2 4 3 2 , 29.41/7.93 5 4 5 3 3 0 -> 5 0 4 3 0 1 1 1 3 0 , 29.41/7.93 5 4 5 4 5 4 -> 1 0 0 3 0 1 1 2 1 4 , 29.41/7.93 5 5 0 4 5 4 -> 5 3 4 4 3 5 1 1 2 5 , 29.41/7.93 0 2 0 0 5 4 5 -> 0 2 1 2 1 4 0 4 4 5 , 29.41/7.93 0 2 0 2 5 0 5 -> 2 5 3 1 0 4 2 5 1 1 , 29.41/7.93 0 3 0 0 3 5 0 -> 0 3 2 4 2 2 2 5 2 0 , 29.41/7.93 0 3 4 4 0 1 5 -> 2 4 2 4 0 4 3 2 1 2 , 29.41/7.93 0 5 5 4 4 0 5 -> 2 1 1 5 0 5 0 4 4 5 , 29.41/7.93 1 2 0 3 2 3 3 -> 1 2 4 3 3 5 4 1 1 3 , 29.41/7.93 3 3 0 0 4 0 2 -> 4 1 1 5 0 1 2 5 5 1 , 29.41/7.93 3 5 0 5 5 5 4 -> 2 4 4 4 5 4 1 3 3 2 , 29.41/7.93 4 0 0 4 5 4 0 -> 4 3 1 2 1 3 4 0 3 1 , 29.41/7.93 4 0 4 0 5 4 5 -> 1 5 1 5 5 1 5 5 1 1 , 29.41/7.93 4 3 0 5 2 2 4 -> 1 2 4 1 2 0 0 4 1 4 , 29.41/7.93 4 3 4 4 3 3 5 -> 2 3 5 3 5 1 4 5 3 5 , 29.41/7.93 5 0 1 3 3 2 0 -> 5 2 1 3 5 1 5 1 1 1 , 29.41/7.93 5 0 5 0 5 0 3 -> 0 1 5 0 1 2 3 4 4 3 , 29.41/7.93 5 1 0 0 1 3 4 -> 5 5 3 2 4 1 2 3 3 4 , 29.41/7.93 5 2 0 3 0 2 4 -> 0 2 3 5 5 1 2 0 1 4 , 29.41/7.93 5 3 0 0 0 5 4 -> 5 1 1 5 3 2 4 4 0 0 , 29.41/7.93 5 4 3 3 0 5 3 -> 5 1 1 3 5 4 3 5 1 3 } 29.41/7.93 29.41/7.93 29.41/7.93 The system was filtered by the following matrix interpretation 29.41/7.93 of type E_J with J = {1,...,2} and dimension 8: 29.41/7.93 29.41/7.93 0 is interpreted by 29.41/7.93 / \ 29.41/7.93 | 1 0 0 0 0 0 0 0 | 29.41/7.93 | 0 1 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 1 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 1 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 1 | 29.41/7.93 | 0 0 0 0 0 0 0 1 | 29.41/7.93 \ / 29.41/7.93 3 is interpreted by 29.41/7.93 / \ 29.41/7.93 | 1 0 1 0 0 0 0 0 | 29.41/7.93 | 0 1 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 0 | 29.41/7.93 | 0 1 0 0 0 0 0 0 | 29.41/7.93 \ / 29.41/7.93 4 is interpreted by 29.41/7.93 / \ 29.41/7.93 | 1 0 0 0 0 0 0 0 | 29.41/7.93 | 0 1 0 0 0 0 0 0 | 29.41/7.93 | 0 0 1 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 0 | 29.41/7.93 \ / 29.41/7.93 1 is interpreted by 29.41/7.93 / \ 29.41/7.93 | 1 0 0 0 0 0 0 0 | 29.41/7.93 | 0 1 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 0 | 29.41/7.93 \ / 29.41/7.93 2 is interpreted by 29.41/7.93 / \ 29.41/7.93 | 1 0 0 0 0 0 0 0 | 29.41/7.93 | 0 1 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 0 | 29.41/7.93 \ / 29.41/7.93 5 is interpreted by 29.41/7.93 / \ 29.41/7.93 | 1 0 1 0 0 0 0 0 | 29.41/7.93 | 0 1 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 1 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 1 0 | 29.41/7.93 | 0 0 0 0 0 0 0 0 | 29.41/7.93 | 0 1 0 0 0 0 0 0 | 29.41/7.93 \ / 29.41/7.93 29.41/7.93 Remains to prove termination of the 42-rule system 29.41/7.93 { 0 3 4 -> 3 1 2 1 2 1 1 3 5 4 , 29.41/7.93 3 2 5 -> 2 2 5 3 3 2 2 1 1 2 , 29.41/7.93 4 1 0 -> 1 2 0 2 4 4 4 4 4 4 , 29.41/7.93 0 0 5 0 -> 0 0 2 2 2 3 3 3 1 1 , 29.41/7.93 0 3 2 0 -> 3 4 1 2 3 2 4 0 1 1 , 29.41/7.93 4 5 5 4 -> 1 3 0 4 1 4 2 2 2 2 , 29.41/7.93 5 0 5 0 -> 5 2 4 2 5 2 2 3 2 4 , 29.41/7.93 0 3 4 3 4 -> 2 1 0 4 2 3 5 3 3 4 , 29.41/7.93 3 4 4 5 0 -> 2 2 1 1 3 5 1 2 2 0 , 29.41/7.93 4 3 0 0 2 -> 2 1 1 0 1 1 0 0 2 1 , 29.41/7.93 4 3 3 2 5 -> 1 1 1 4 2 5 2 1 4 5 , 29.41/7.93 4 5 1 5 4 -> 1 3 5 5 2 1 1 5 2 2 , 29.41/7.93 5 4 5 1 0 -> 2 1 1 5 3 1 4 2 1 0 , 29.41/7.93 5 5 1 3 5 -> 1 1 4 1 1 4 2 0 2 2 , 29.41/7.93 0 0 5 0 3 1 -> 0 0 4 1 1 4 5 2 3 1 , 29.41/7.93 0 3 5 0 5 1 -> 5 1 2 5 2 2 3 2 4 0 , 29.41/7.93 0 5 1 0 3 5 -> 2 1 3 2 2 5 1 1 3 5 , 29.41/7.93 0 5 5 4 5 1 -> 5 5 2 0 1 1 1 2 0 1 , 29.41/7.93 3 5 2 5 3 1 -> 3 0 1 1 4 1 4 0 1 1 , 29.41/7.93 5 0 3 3 2 5 -> 2 0 1 3 0 4 3 5 1 1 , 29.41/7.93 5 4 0 3 4 3 -> 5 3 1 4 3 2 2 1 4 3 , 29.41/7.93 5 4 1 0 0 0 -> 3 5 2 2 1 2 2 4 3 2 , 29.41/7.93 5 4 5 3 3 0 -> 5 0 4 3 0 1 1 1 3 0 , 29.41/7.93 5 4 5 4 5 4 -> 1 0 0 3 0 1 1 2 1 4 , 29.41/7.93 5 5 0 4 5 4 -> 5 3 4 4 3 5 1 1 2 5 , 29.41/7.93 0 2 0 0 5 4 5 -> 0 2 1 2 1 4 0 4 4 5 , 29.41/7.93 0 2 0 2 5 0 5 -> 2 5 3 1 0 4 2 5 1 1 , 29.41/7.93 0 3 0 0 3 5 0 -> 0 3 2 4 2 2 2 5 2 0 , 29.41/7.93 0 3 4 4 0 1 5 -> 2 4 2 4 0 4 3 2 1 2 , 29.41/7.93 0 5 5 4 4 0 5 -> 2 1 1 5 0 5 0 4 4 5 , 29.41/7.93 1 2 0 3 2 3 3 -> 1 2 4 3 3 5 4 1 1 3 , 29.41/7.93 3 3 0 0 4 0 2 -> 4 1 1 5 0 1 2 5 5 1 , 29.41/7.93 3 5 0 5 5 5 4 -> 2 4 4 4 5 4 1 3 3 2 , 29.41/7.93 4 0 0 4 5 4 0 -> 4 3 1 2 1 3 4 0 3 1 , 29.41/7.93 4 0 4 0 5 4 5 -> 1 5 1 5 5 1 5 5 1 1 , 29.41/7.93 4 3 0 5 2 2 4 -> 1 2 4 1 2 0 0 4 1 4 , 29.41/7.93 4 3 4 4 3 3 5 -> 2 3 5 3 5 1 4 5 3 5 , 29.41/7.93 5 0 1 3 3 2 0 -> 5 2 1 3 5 1 5 1 1 1 , 29.41/7.93 5 1 0 0 1 3 4 -> 5 5 3 2 4 1 2 3 3 4 , 29.41/7.93 5 2 0 3 0 2 4 -> 0 2 3 5 5 1 2 0 1 4 , 29.41/7.93 5 3 0 0 0 5 4 -> 5 1 1 5 3 2 4 4 0 0 , 29.41/7.93 5 4 3 3 0 5 3 -> 5 1 1 3 5 4 3 5 1 3 } 29.41/7.93 29.41/7.93 29.41/7.93 The system was filtered by the following matrix interpretation 29.41/7.93 of type E_J with J = {1,...,2} and dimension 7: 29.41/7.93 29.41/7.93 0 is interpreted by 29.41/7.93 / \ 29.41/7.93 | 1 0 0 0 0 0 0 | 29.41/7.93 | 0 1 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 1 0 | 29.41/7.93 | 0 0 0 0 0 0 1 | 29.41/7.93 | 0 1 0 0 0 0 0 | 29.41/7.93 \ / 29.41/7.93 3 is interpreted by 29.41/7.93 / \ 29.41/7.93 | 1 0 1 0 0 0 0 | 29.41/7.93 | 0 1 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 | 29.41/7.93 \ / 29.41/7.93 4 is interpreted by 29.41/7.93 / \ 29.41/7.93 | 1 0 0 0 0 0 0 | 29.41/7.93 | 0 1 0 0 0 0 0 | 29.41/7.93 | 0 0 1 1 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 | 29.41/7.93 \ / 29.41/7.93 1 is interpreted by 29.41/7.93 / \ 29.41/7.93 | 1 0 0 0 0 0 0 | 29.41/7.93 | 0 1 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 1 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 | 29.41/7.93 \ / 29.41/7.93 2 is interpreted by 29.41/7.93 / \ 29.41/7.93 | 1 0 0 0 0 0 0 | 29.41/7.93 | 0 1 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 | 29.41/7.93 \ / 29.41/7.93 5 is interpreted by 29.41/7.93 / \ 29.41/7.93 | 1 0 1 0 0 0 0 | 29.41/7.93 | 0 1 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 | 29.41/7.93 | 0 1 0 0 0 0 0 | 29.41/7.93 \ / 29.41/7.93 29.41/7.93 Remains to prove termination of the 41-rule system 29.41/7.93 { 0 3 4 -> 3 1 2 1 2 1 1 3 5 4 , 29.41/7.93 3 2 5 -> 2 2 5 3 3 2 2 1 1 2 , 29.41/7.93 4 1 0 -> 1 2 0 2 4 4 4 4 4 4 , 29.41/7.93 0 0 5 0 -> 0 0 2 2 2 3 3 3 1 1 , 29.41/7.93 0 3 2 0 -> 3 4 1 2 3 2 4 0 1 1 , 29.41/7.93 4 5 5 4 -> 1 3 0 4 1 4 2 2 2 2 , 29.41/7.93 5 0 5 0 -> 5 2 4 2 5 2 2 3 2 4 , 29.41/7.93 0 3 4 3 4 -> 2 1 0 4 2 3 5 3 3 4 , 29.41/7.93 3 4 4 5 0 -> 2 2 1 1 3 5 1 2 2 0 , 29.41/7.93 4 3 0 0 2 -> 2 1 1 0 1 1 0 0 2 1 , 29.41/7.93 4 3 3 2 5 -> 1 1 1 4 2 5 2 1 4 5 , 29.41/7.93 4 5 1 5 4 -> 1 3 5 5 2 1 1 5 2 2 , 29.41/7.93 5 4 5 1 0 -> 2 1 1 5 3 1 4 2 1 0 , 29.41/7.93 5 5 1 3 5 -> 1 1 4 1 1 4 2 0 2 2 , 29.41/7.93 0 0 5 0 3 1 -> 0 0 4 1 1 4 5 2 3 1 , 29.41/7.93 0 3 5 0 5 1 -> 5 1 2 5 2 2 3 2 4 0 , 29.41/7.93 0 5 1 0 3 5 -> 2 1 3 2 2 5 1 1 3 5 , 29.41/7.93 0 5 5 4 5 1 -> 5 5 2 0 1 1 1 2 0 1 , 29.41/7.93 3 5 2 5 3 1 -> 3 0 1 1 4 1 4 0 1 1 , 29.41/7.93 5 0 3 3 2 5 -> 2 0 1 3 0 4 3 5 1 1 , 29.41/7.93 5 4 0 3 4 3 -> 5 3 1 4 3 2 2 1 4 3 , 29.41/7.93 5 4 5 3 3 0 -> 5 0 4 3 0 1 1 1 3 0 , 29.41/7.93 5 4 5 4 5 4 -> 1 0 0 3 0 1 1 2 1 4 , 29.41/7.93 5 5 0 4 5 4 -> 5 3 4 4 3 5 1 1 2 5 , 29.41/7.93 0 2 0 0 5 4 5 -> 0 2 1 2 1 4 0 4 4 5 , 29.41/7.93 0 2 0 2 5 0 5 -> 2 5 3 1 0 4 2 5 1 1 , 29.41/7.93 0 3 0 0 3 5 0 -> 0 3 2 4 2 2 2 5 2 0 , 29.41/7.93 0 3 4 4 0 1 5 -> 2 4 2 4 0 4 3 2 1 2 , 29.41/7.93 0 5 5 4 4 0 5 -> 2 1 1 5 0 5 0 4 4 5 , 29.41/7.93 1 2 0 3 2 3 3 -> 1 2 4 3 3 5 4 1 1 3 , 29.41/7.93 3 3 0 0 4 0 2 -> 4 1 1 5 0 1 2 5 5 1 , 29.41/7.93 3 5 0 5 5 5 4 -> 2 4 4 4 5 4 1 3 3 2 , 29.41/7.93 4 0 0 4 5 4 0 -> 4 3 1 2 1 3 4 0 3 1 , 29.41/7.93 4 0 4 0 5 4 5 -> 1 5 1 5 5 1 5 5 1 1 , 29.41/7.93 4 3 0 5 2 2 4 -> 1 2 4 1 2 0 0 4 1 4 , 29.41/7.93 4 3 4 4 3 3 5 -> 2 3 5 3 5 1 4 5 3 5 , 29.41/7.93 5 0 1 3 3 2 0 -> 5 2 1 3 5 1 5 1 1 1 , 29.41/7.93 5 1 0 0 1 3 4 -> 5 5 3 2 4 1 2 3 3 4 , 29.41/7.93 5 2 0 3 0 2 4 -> 0 2 3 5 5 1 2 0 1 4 , 29.41/7.93 5 3 0 0 0 5 4 -> 5 1 1 5 3 2 4 4 0 0 , 29.41/7.93 5 4 3 3 0 5 3 -> 5 1 1 3 5 4 3 5 1 3 } 29.41/7.93 29.41/7.93 29.41/7.93 The system was filtered by the following matrix interpretation 29.41/7.93 of type E_J with J = {1,...,2} and dimension 7: 29.41/7.93 29.41/7.93 0 is interpreted by 29.41/7.93 / \ 29.41/7.93 | 1 0 0 0 0 0 0 | 29.41/7.93 | 0 1 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 | 29.41/7.93 | 0 1 0 0 0 0 0 | 29.41/7.93 \ / 29.41/7.93 3 is interpreted by 29.41/7.93 / \ 29.41/7.93 | 1 0 1 0 0 0 0 | 29.41/7.93 | 0 1 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 1 0 | 29.41/7.93 | 0 0 0 0 0 0 1 | 29.41/7.93 | 0 0 0 0 0 0 0 | 29.41/7.93 \ / 29.41/7.93 4 is interpreted by 29.41/7.93 / \ 29.41/7.93 | 1 0 0 0 0 0 0 | 29.41/7.93 | 0 1 0 0 0 0 0 | 29.41/7.93 | 0 0 1 1 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 | 29.41/7.93 \ / 29.41/7.93 1 is interpreted by 29.41/7.93 / \ 29.41/7.93 | 1 0 0 0 0 0 0 | 29.41/7.93 | 0 1 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 | 29.41/7.93 \ / 29.41/7.93 2 is interpreted by 29.41/7.93 / \ 29.41/7.93 | 1 0 0 0 0 0 0 | 29.41/7.93 | 0 1 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 | 29.41/7.93 \ / 29.41/7.93 5 is interpreted by 29.41/7.93 / \ 29.41/7.93 | 1 0 1 0 0 0 0 | 29.41/7.93 | 0 1 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 1 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 | 29.41/7.93 | 0 1 0 0 0 0 0 | 29.41/7.93 \ / 29.41/7.93 29.41/7.93 Remains to prove termination of the 40-rule system 29.41/7.93 { 0 3 4 -> 3 1 2 1 2 1 1 3 5 4 , 29.41/7.93 3 2 5 -> 2 2 5 3 3 2 2 1 1 2 , 29.41/7.93 4 1 0 -> 1 2 0 2 4 4 4 4 4 4 , 29.41/7.93 0 0 5 0 -> 0 0 2 2 2 3 3 3 1 1 , 29.41/7.93 0 3 2 0 -> 3 4 1 2 3 2 4 0 1 1 , 29.41/7.93 4 5 5 4 -> 1 3 0 4 1 4 2 2 2 2 , 29.41/7.93 5 0 5 0 -> 5 2 4 2 5 2 2 3 2 4 , 29.41/7.93 0 3 4 3 4 -> 2 1 0 4 2 3 5 3 3 4 , 29.41/7.93 3 4 4 5 0 -> 2 2 1 1 3 5 1 2 2 0 , 29.41/7.93 4 3 0 0 2 -> 2 1 1 0 1 1 0 0 2 1 , 29.41/7.93 4 3 3 2 5 -> 1 1 1 4 2 5 2 1 4 5 , 29.41/7.93 4 5 1 5 4 -> 1 3 5 5 2 1 1 5 2 2 , 29.41/7.93 5 4 5 1 0 -> 2 1 1 5 3 1 4 2 1 0 , 29.41/7.93 5 5 1 3 5 -> 1 1 4 1 1 4 2 0 2 2 , 29.41/7.93 0 0 5 0 3 1 -> 0 0 4 1 1 4 5 2 3 1 , 29.41/7.93 0 3 5 0 5 1 -> 5 1 2 5 2 2 3 2 4 0 , 29.41/7.93 0 5 1 0 3 5 -> 2 1 3 2 2 5 1 1 3 5 , 29.41/7.93 0 5 5 4 5 1 -> 5 5 2 0 1 1 1 2 0 1 , 29.41/7.93 3 5 2 5 3 1 -> 3 0 1 1 4 1 4 0 1 1 , 29.41/7.93 5 0 3 3 2 5 -> 2 0 1 3 0 4 3 5 1 1 , 29.41/7.93 5 4 0 3 4 3 -> 5 3 1 4 3 2 2 1 4 3 , 29.41/7.93 5 4 5 4 5 4 -> 1 0 0 3 0 1 1 2 1 4 , 29.41/7.93 5 5 0 4 5 4 -> 5 3 4 4 3 5 1 1 2 5 , 29.41/7.93 0 2 0 0 5 4 5 -> 0 2 1 2 1 4 0 4 4 5 , 29.41/7.93 0 2 0 2 5 0 5 -> 2 5 3 1 0 4 2 5 1 1 , 29.41/7.93 0 3 0 0 3 5 0 -> 0 3 2 4 2 2 2 5 2 0 , 29.41/7.93 0 3 4 4 0 1 5 -> 2 4 2 4 0 4 3 2 1 2 , 29.41/7.93 0 5 5 4 4 0 5 -> 2 1 1 5 0 5 0 4 4 5 , 29.41/7.93 1 2 0 3 2 3 3 -> 1 2 4 3 3 5 4 1 1 3 , 29.41/7.93 3 3 0 0 4 0 2 -> 4 1 1 5 0 1 2 5 5 1 , 29.41/7.93 3 5 0 5 5 5 4 -> 2 4 4 4 5 4 1 3 3 2 , 29.41/7.93 4 0 0 4 5 4 0 -> 4 3 1 2 1 3 4 0 3 1 , 29.41/7.93 4 0 4 0 5 4 5 -> 1 5 1 5 5 1 5 5 1 1 , 29.41/7.93 4 3 0 5 2 2 4 -> 1 2 4 1 2 0 0 4 1 4 , 29.41/7.93 4 3 4 4 3 3 5 -> 2 3 5 3 5 1 4 5 3 5 , 29.41/7.93 5 0 1 3 3 2 0 -> 5 2 1 3 5 1 5 1 1 1 , 29.41/7.93 5 1 0 0 1 3 4 -> 5 5 3 2 4 1 2 3 3 4 , 29.41/7.93 5 2 0 3 0 2 4 -> 0 2 3 5 5 1 2 0 1 4 , 29.41/7.93 5 3 0 0 0 5 4 -> 5 1 1 5 3 2 4 4 0 0 , 29.41/7.93 5 4 3 3 0 5 3 -> 5 1 1 3 5 4 3 5 1 3 } 29.41/7.93 29.41/7.93 29.41/7.93 The system was filtered by the following matrix interpretation 29.41/7.93 of type E_J with J = {1,...,2} and dimension 6: 29.41/7.93 29.41/7.93 0 is interpreted by 29.41/7.93 / \ 29.41/7.93 | 1 0 0 0 0 0 | 29.41/7.93 | 0 1 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 1 | 29.41/7.93 | 0 1 0 0 0 0 | 29.41/7.93 \ / 29.41/7.93 3 is interpreted by 29.41/7.93 / \ 29.41/7.93 | 1 0 1 0 0 0 | 29.41/7.93 | 0 1 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 | 29.41/7.93 \ / 29.41/7.93 4 is interpreted by 29.41/7.93 / \ 29.41/7.93 | 1 0 0 0 0 0 | 29.41/7.93 | 0 1 0 0 0 0 | 29.41/7.93 | 0 0 0 1 0 0 | 29.41/7.93 | 0 0 0 0 1 0 | 29.41/7.93 | 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 1 | 29.41/7.93 \ / 29.41/7.93 1 is interpreted by 29.41/7.93 / \ 29.41/7.93 | 1 0 0 0 0 0 | 29.41/7.93 | 0 1 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 1 0 | 29.41/7.93 \ / 29.41/7.93 2 is interpreted by 29.41/7.93 / \ 29.41/7.93 | 1 0 0 0 0 0 | 29.41/7.93 | 0 1 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 | 29.41/7.93 \ / 29.41/7.93 5 is interpreted by 29.41/7.93 / \ 29.41/7.93 | 1 0 0 0 0 0 | 29.41/7.93 | 0 1 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 1 | 29.41/7.93 | 0 1 0 0 0 0 | 29.41/7.93 \ / 29.41/7.93 29.41/7.93 Remains to prove termination of the 39-rule system 29.41/7.93 { 0 3 4 -> 3 1 2 1 2 1 1 3 5 4 , 29.41/7.93 3 2 5 -> 2 2 5 3 3 2 2 1 1 2 , 29.41/7.93 4 1 0 -> 1 2 0 2 4 4 4 4 4 4 , 29.41/7.93 0 0 5 0 -> 0 0 2 2 2 3 3 3 1 1 , 29.41/7.93 0 3 2 0 -> 3 4 1 2 3 2 4 0 1 1 , 29.41/7.93 4 5 5 4 -> 1 3 0 4 1 4 2 2 2 2 , 29.41/7.93 5 0 5 0 -> 5 2 4 2 5 2 2 3 2 4 , 29.41/7.93 0 3 4 3 4 -> 2 1 0 4 2 3 5 3 3 4 , 29.41/7.93 4 3 0 0 2 -> 2 1 1 0 1 1 0 0 2 1 , 29.41/7.93 4 3 3 2 5 -> 1 1 1 4 2 5 2 1 4 5 , 29.41/7.93 4 5 1 5 4 -> 1 3 5 5 2 1 1 5 2 2 , 29.41/7.93 5 4 5 1 0 -> 2 1 1 5 3 1 4 2 1 0 , 29.41/7.93 5 5 1 3 5 -> 1 1 4 1 1 4 2 0 2 2 , 29.41/7.93 0 0 5 0 3 1 -> 0 0 4 1 1 4 5 2 3 1 , 29.41/7.93 0 3 5 0 5 1 -> 5 1 2 5 2 2 3 2 4 0 , 29.41/7.93 0 5 1 0 3 5 -> 2 1 3 2 2 5 1 1 3 5 , 29.41/7.93 0 5 5 4 5 1 -> 5 5 2 0 1 1 1 2 0 1 , 29.41/7.93 3 5 2 5 3 1 -> 3 0 1 1 4 1 4 0 1 1 , 29.41/7.93 5 0 3 3 2 5 -> 2 0 1 3 0 4 3 5 1 1 , 29.41/7.93 5 4 0 3 4 3 -> 5 3 1 4 3 2 2 1 4 3 , 29.41/7.93 5 4 5 4 5 4 -> 1 0 0 3 0 1 1 2 1 4 , 29.41/7.93 5 5 0 4 5 4 -> 5 3 4 4 3 5 1 1 2 5 , 29.41/7.93 0 2 0 0 5 4 5 -> 0 2 1 2 1 4 0 4 4 5 , 29.41/7.93 0 2 0 2 5 0 5 -> 2 5 3 1 0 4 2 5 1 1 , 29.41/7.93 0 3 0 0 3 5 0 -> 0 3 2 4 2 2 2 5 2 0 , 29.41/7.93 0 3 4 4 0 1 5 -> 2 4 2 4 0 4 3 2 1 2 , 29.41/7.93 0 5 5 4 4 0 5 -> 2 1 1 5 0 5 0 4 4 5 , 29.41/7.93 1 2 0 3 2 3 3 -> 1 2 4 3 3 5 4 1 1 3 , 29.41/7.93 3 3 0 0 4 0 2 -> 4 1 1 5 0 1 2 5 5 1 , 29.41/7.93 3 5 0 5 5 5 4 -> 2 4 4 4 5 4 1 3 3 2 , 29.41/7.93 4 0 0 4 5 4 0 -> 4 3 1 2 1 3 4 0 3 1 , 29.41/7.93 4 0 4 0 5 4 5 -> 1 5 1 5 5 1 5 5 1 1 , 29.41/7.93 4 3 0 5 2 2 4 -> 1 2 4 1 2 0 0 4 1 4 , 29.41/7.93 4 3 4 4 3 3 5 -> 2 3 5 3 5 1 4 5 3 5 , 29.41/7.93 5 0 1 3 3 2 0 -> 5 2 1 3 5 1 5 1 1 1 , 29.41/7.93 5 1 0 0 1 3 4 -> 5 5 3 2 4 1 2 3 3 4 , 29.41/7.93 5 2 0 3 0 2 4 -> 0 2 3 5 5 1 2 0 1 4 , 29.41/7.93 5 3 0 0 0 5 4 -> 5 1 1 5 3 2 4 4 0 0 , 29.41/7.93 5 4 3 3 0 5 3 -> 5 1 1 3 5 4 3 5 1 3 } 29.41/7.93 29.41/7.93 29.41/7.93 The system was filtered by the following matrix interpretation 29.41/7.93 of type E_J with J = {1,...,2} and dimension 7: 29.41/7.93 29.41/7.93 0 is interpreted by 29.41/7.93 / \ 29.41/7.93 | 1 0 1 0 0 0 0 | 29.41/7.93 | 0 1 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 1 0 | 29.41/7.93 | 0 0 0 0 0 0 0 | 29.41/7.93 | 0 1 0 0 0 0 0 | 29.41/7.93 \ / 29.41/7.93 3 is interpreted by 29.41/7.93 / \ 29.41/7.93 | 1 0 0 0 0 0 0 | 29.41/7.93 | 0 1 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 1 | 29.41/7.93 | 0 0 0 0 0 0 0 | 29.41/7.93 \ / 29.41/7.93 4 is interpreted by 29.41/7.93 / \ 29.41/7.93 | 1 0 0 0 0 0 0 | 29.41/7.93 | 0 1 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 | 29.41/7.93 | 0 0 1 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 | 29.41/7.93 \ / 29.41/7.93 1 is interpreted by 29.41/7.93 / \ 29.41/7.93 | 1 0 0 0 0 0 0 | 29.41/7.93 | 0 1 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 | 29.41/7.93 | 0 0 1 0 1 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 | 29.41/7.93 \ / 29.41/7.93 2 is interpreted by 29.41/7.93 / \ 29.41/7.93 | 1 0 0 0 0 0 0 | 29.41/7.93 | 0 1 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 | 29.41/7.93 \ / 29.41/7.93 5 is interpreted by 29.41/7.93 / \ 29.41/7.93 | 1 0 0 0 0 0 0 | 29.41/7.93 | 0 1 0 0 0 0 0 | 29.41/7.93 | 0 0 0 1 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 | 29.41/7.93 | 0 0 0 0 0 0 0 | 29.41/7.93 | 0 1 0 0 0 0 0 | 29.41/7.93 \ / 29.41/7.93 29.41/7.93 Remains to prove termination of the 38-rule system 29.41/7.93 { 0 3 4 -> 3 1 2 1 2 1 1 3 5 4 , 29.41/7.93 3 2 5 -> 2 2 5 3 3 2 2 1 1 2 , 29.41/7.93 4 1 0 -> 1 2 0 2 4 4 4 4 4 4 , 29.41/7.93 0 0 5 0 -> 0 0 2 2 2 3 3 3 1 1 , 29.41/7.93 0 3 2 0 -> 3 4 1 2 3 2 4 0 1 1 , 29.41/7.93 4 5 5 4 -> 1 3 0 4 1 4 2 2 2 2 , 29.41/7.93 5 0 5 0 -> 5 2 4 2 5 2 2 3 2 4 , 29.41/7.93 0 3 4 3 4 -> 2 1 0 4 2 3 5 3 3 4 , 29.41/7.93 4 3 0 0 2 -> 2 1 1 0 1 1 0 0 2 1 , 29.41/7.93 4 3 3 2 5 -> 1 1 1 4 2 5 2 1 4 5 , 29.41/7.93 4 5 1 5 4 -> 1 3 5 5 2 1 1 5 2 2 , 29.41/7.93 5 4 5 1 0 -> 2 1 1 5 3 1 4 2 1 0 , 29.41/7.93 5 5 1 3 5 -> 1 1 4 1 1 4 2 0 2 2 , 29.41/7.94 0 0 5 0 3 1 -> 0 0 4 1 1 4 5 2 3 1 , 29.41/7.94 0 3 5 0 5 1 -> 5 1 2 5 2 2 3 2 4 0 , 29.41/7.94 0 5 5 4 5 1 -> 5 5 2 0 1 1 1 2 0 1 , 29.41/7.94 3 5 2 5 3 1 -> 3 0 1 1 4 1 4 0 1 1 , 29.41/7.94 5 0 3 3 2 5 -> 2 0 1 3 0 4 3 5 1 1 , 29.41/7.94 5 4 0 3 4 3 -> 5 3 1 4 3 2 2 1 4 3 , 29.41/7.94 5 4 5 4 5 4 -> 1 0 0 3 0 1 1 2 1 4 , 29.41/7.94 5 5 0 4 5 4 -> 5 3 4 4 3 5 1 1 2 5 , 29.41/7.94 0 2 0 0 5 4 5 -> 0 2 1 2 1 4 0 4 4 5 , 29.41/7.94 0 2 0 2 5 0 5 -> 2 5 3 1 0 4 2 5 1 1 , 29.41/7.94 0 3 0 0 3 5 0 -> 0 3 2 4 2 2 2 5 2 0 , 29.41/7.94 0 3 4 4 0 1 5 -> 2 4 2 4 0 4 3 2 1 2 , 29.41/7.94 0 5 5 4 4 0 5 -> 2 1 1 5 0 5 0 4 4 5 , 29.41/7.94 1 2 0 3 2 3 3 -> 1 2 4 3 3 5 4 1 1 3 , 29.41/7.94 3 3 0 0 4 0 2 -> 4 1 1 5 0 1 2 5 5 1 , 29.41/7.94 3 5 0 5 5 5 4 -> 2 4 4 4 5 4 1 3 3 2 , 29.41/7.94 4 0 0 4 5 4 0 -> 4 3 1 2 1 3 4 0 3 1 , 29.41/7.94 4 0 4 0 5 4 5 -> 1 5 1 5 5 1 5 5 1 1 , 29.41/7.94 4 3 0 5 2 2 4 -> 1 2 4 1 2 0 0 4 1 4 , 29.41/7.94 4 3 4 4 3 3 5 -> 2 3 5 3 5 1 4 5 3 5 , 29.41/7.94 5 0 1 3 3 2 0 -> 5 2 1 3 5 1 5 1 1 1 , 29.41/7.94 5 1 0 0 1 3 4 -> 5 5 3 2 4 1 2 3 3 4 , 29.41/7.94 5 2 0 3 0 2 4 -> 0 2 3 5 5 1 2 0 1 4 , 29.41/7.94 5 3 0 0 0 5 4 -> 5 1 1 5 3 2 4 4 0 0 , 29.41/7.94 5 4 3 3 0 5 3 -> 5 1 1 3 5 4 3 5 1 3 } 29.41/7.94 29.41/7.94 29.41/7.94 The system was filtered by the following matrix interpretation 29.41/7.94 of type E_J with J = {1,...,2} and dimension 11: 29.41/7.94 29.41/7.94 0 is interpreted by 29.41/7.94 / \ 29.41/7.94 | 1 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 1 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 1 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 1 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 1 0 0 0 0 0 0 0 0 | 29.41/7.94 \ / 29.41/7.94 3 is interpreted by 29.41/7.94 / \ 29.41/7.94 | 1 0 0 0 0 0 0 0 1 0 0 | 29.41/7.94 | 0 1 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 1 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 1 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 1 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 \ / 29.41/7.94 4 is interpreted by 29.41/7.94 / \ 29.41/7.94 | 1 0 1 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 1 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 1 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 1 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 1 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 \ / 29.41/7.94 1 is interpreted by 29.41/7.94 / \ 29.41/7.94 | 1 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 1 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 1 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 \ / 29.41/7.94 2 is interpreted by 29.41/7.94 / \ 29.41/7.94 | 1 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 1 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 \ / 29.41/7.94 5 is interpreted by 29.41/7.94 / \ 29.41/7.94 | 1 0 0 0 0 0 0 0 1 0 0 | 29.41/7.94 | 0 1 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 1 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 1 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 \ / 29.41/7.94 29.41/7.94 Remains to prove termination of the 37-rule system 29.41/7.94 { 0 3 4 -> 3 1 2 1 2 1 1 3 5 4 , 29.41/7.94 3 2 5 -> 2 2 5 3 3 2 2 1 1 2 , 29.41/7.94 4 1 0 -> 1 2 0 2 4 4 4 4 4 4 , 29.41/7.94 0 0 5 0 -> 0 0 2 2 2 3 3 3 1 1 , 29.41/7.94 0 3 2 0 -> 3 4 1 2 3 2 4 0 1 1 , 29.41/7.94 4 5 5 4 -> 1 3 0 4 1 4 2 2 2 2 , 29.41/7.94 5 0 5 0 -> 5 2 4 2 5 2 2 3 2 4 , 29.41/7.94 0 3 4 3 4 -> 2 1 0 4 2 3 5 3 3 4 , 29.41/7.94 4 3 0 0 2 -> 2 1 1 0 1 1 0 0 2 1 , 29.41/7.94 4 3 3 2 5 -> 1 1 1 4 2 5 2 1 4 5 , 29.41/7.94 4 5 1 5 4 -> 1 3 5 5 2 1 1 5 2 2 , 29.41/7.94 5 4 5 1 0 -> 2 1 1 5 3 1 4 2 1 0 , 29.41/7.94 5 5 1 3 5 -> 1 1 4 1 1 4 2 0 2 2 , 29.41/7.94 0 0 5 0 3 1 -> 0 0 4 1 1 4 5 2 3 1 , 29.41/7.94 0 3 5 0 5 1 -> 5 1 2 5 2 2 3 2 4 0 , 29.41/7.94 0 5 5 4 5 1 -> 5 5 2 0 1 1 1 2 0 1 , 29.41/7.94 3 5 2 5 3 1 -> 3 0 1 1 4 1 4 0 1 1 , 29.41/7.94 5 0 3 3 2 5 -> 2 0 1 3 0 4 3 5 1 1 , 29.41/7.94 5 4 0 3 4 3 -> 5 3 1 4 3 2 2 1 4 3 , 29.41/7.94 5 4 5 4 5 4 -> 1 0 0 3 0 1 1 2 1 4 , 29.41/7.94 5 5 0 4 5 4 -> 5 3 4 4 3 5 1 1 2 5 , 29.41/7.94 0 2 0 0 5 4 5 -> 0 2 1 2 1 4 0 4 4 5 , 29.41/7.94 0 2 0 2 5 0 5 -> 2 5 3 1 0 4 2 5 1 1 , 29.41/7.94 0 3 0 0 3 5 0 -> 0 3 2 4 2 2 2 5 2 0 , 29.41/7.94 0 3 4 4 0 1 5 -> 2 4 2 4 0 4 3 2 1 2 , 29.41/7.94 0 5 5 4 4 0 5 -> 2 1 1 5 0 5 0 4 4 5 , 29.41/7.94 1 2 0 3 2 3 3 -> 1 2 4 3 3 5 4 1 1 3 , 29.41/7.94 3 3 0 0 4 0 2 -> 4 1 1 5 0 1 2 5 5 1 , 29.41/7.94 3 5 0 5 5 5 4 -> 2 4 4 4 5 4 1 3 3 2 , 29.41/7.94 4 0 0 4 5 4 0 -> 4 3 1 2 1 3 4 0 3 1 , 29.41/7.94 4 0 4 0 5 4 5 -> 1 5 1 5 5 1 5 5 1 1 , 29.41/7.94 4 3 0 5 2 2 4 -> 1 2 4 1 2 0 0 4 1 4 , 29.41/7.94 5 0 1 3 3 2 0 -> 5 2 1 3 5 1 5 1 1 1 , 29.41/7.94 5 1 0 0 1 3 4 -> 5 5 3 2 4 1 2 3 3 4 , 29.41/7.94 5 2 0 3 0 2 4 -> 0 2 3 5 5 1 2 0 1 4 , 29.41/7.94 5 3 0 0 0 5 4 -> 5 1 1 5 3 2 4 4 0 0 , 29.41/7.94 5 4 3 3 0 5 3 -> 5 1 1 3 5 4 3 5 1 3 } 29.41/7.94 29.41/7.94 29.41/7.94 The system was filtered by the following matrix interpretation 29.41/7.94 of type E_J with J = {1,...,2} and dimension 8: 29.41/7.94 29.41/7.94 0 is interpreted by 29.41/7.94 / \ 29.41/7.94 | 1 0 1 0 0 0 0 0 | 29.41/7.94 | 0 1 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 1 | 29.41/7.94 | 0 1 0 0 0 0 0 0 | 29.41/7.94 \ / 29.41/7.94 3 is interpreted by 29.41/7.94 / \ 29.41/7.94 | 1 0 0 0 0 0 0 0 | 29.41/7.94 | 0 1 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 | 29.41/7.94 \ / 29.41/7.94 4 is interpreted by 29.41/7.94 / \ 29.41/7.94 | 1 0 0 0 0 0 0 0 | 29.41/7.94 | 0 1 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 1 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 1 0 0 | 29.41/7.94 | 0 0 0 0 0 0 1 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 | 29.41/7.94 \ / 29.41/7.94 1 is interpreted by 29.41/7.94 / \ 29.41/7.94 | 1 0 0 0 0 0 0 0 | 29.41/7.94 | 0 1 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 1 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 | 29.41/7.94 \ / 29.41/7.94 2 is interpreted by 29.41/7.94 / \ 29.41/7.94 | 1 0 0 0 0 0 0 0 | 29.41/7.94 | 0 1 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 | 29.41/7.94 \ / 29.41/7.94 5 is interpreted by 29.41/7.94 / \ 29.41/7.94 | 1 0 0 0 0 0 0 0 | 29.41/7.94 | 0 1 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 1 0 0 0 0 | 29.41/7.94 | 0 0 0 0 1 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 1 0 0 0 0 0 0 | 29.41/7.94 \ / 29.41/7.94 29.41/7.94 Remains to prove termination of the 36-rule system 29.41/7.94 { 0 3 4 -> 3 1 2 1 2 1 1 3 5 4 , 29.41/7.94 3 2 5 -> 2 2 5 3 3 2 2 1 1 2 , 29.41/7.94 4 1 0 -> 1 2 0 2 4 4 4 4 4 4 , 29.41/7.94 0 0 5 0 -> 0 0 2 2 2 3 3 3 1 1 , 29.41/7.94 0 3 2 0 -> 3 4 1 2 3 2 4 0 1 1 , 29.41/7.94 4 5 5 4 -> 1 3 0 4 1 4 2 2 2 2 , 29.41/7.94 5 0 5 0 -> 5 2 4 2 5 2 2 3 2 4 , 29.41/7.94 0 3 4 3 4 -> 2 1 0 4 2 3 5 3 3 4 , 29.41/7.94 4 3 0 0 2 -> 2 1 1 0 1 1 0 0 2 1 , 29.41/7.94 4 3 3 2 5 -> 1 1 1 4 2 5 2 1 4 5 , 29.41/7.94 4 5 1 5 4 -> 1 3 5 5 2 1 1 5 2 2 , 29.41/7.94 5 4 5 1 0 -> 2 1 1 5 3 1 4 2 1 0 , 29.41/7.94 5 5 1 3 5 -> 1 1 4 1 1 4 2 0 2 2 , 29.41/7.94 0 0 5 0 3 1 -> 0 0 4 1 1 4 5 2 3 1 , 29.41/7.94 0 3 5 0 5 1 -> 5 1 2 5 2 2 3 2 4 0 , 29.41/7.94 0 5 5 4 5 1 -> 5 5 2 0 1 1 1 2 0 1 , 29.41/7.94 3 5 2 5 3 1 -> 3 0 1 1 4 1 4 0 1 1 , 29.41/7.94 5 0 3 3 2 5 -> 2 0 1 3 0 4 3 5 1 1 , 29.41/7.94 5 4 0 3 4 3 -> 5 3 1 4 3 2 2 1 4 3 , 29.41/7.94 5 4 5 4 5 4 -> 1 0 0 3 0 1 1 2 1 4 , 29.41/7.94 5 5 0 4 5 4 -> 5 3 4 4 3 5 1 1 2 5 , 29.41/7.94 0 2 0 0 5 4 5 -> 0 2 1 2 1 4 0 4 4 5 , 29.41/7.94 0 2 0 2 5 0 5 -> 2 5 3 1 0 4 2 5 1 1 , 29.41/7.94 0 3 0 0 3 5 0 -> 0 3 2 4 2 2 2 5 2 0 , 29.41/7.94 0 3 4 4 0 1 5 -> 2 4 2 4 0 4 3 2 1 2 , 29.41/7.94 1 2 0 3 2 3 3 -> 1 2 4 3 3 5 4 1 1 3 , 29.41/7.94 3 3 0 0 4 0 2 -> 4 1 1 5 0 1 2 5 5 1 , 29.41/7.94 3 5 0 5 5 5 4 -> 2 4 4 4 5 4 1 3 3 2 , 29.41/7.94 4 0 0 4 5 4 0 -> 4 3 1 2 1 3 4 0 3 1 , 29.41/7.94 4 0 4 0 5 4 5 -> 1 5 1 5 5 1 5 5 1 1 , 29.41/7.94 4 3 0 5 2 2 4 -> 1 2 4 1 2 0 0 4 1 4 , 29.41/7.94 5 0 1 3 3 2 0 -> 5 2 1 3 5 1 5 1 1 1 , 29.41/7.94 5 1 0 0 1 3 4 -> 5 5 3 2 4 1 2 3 3 4 , 29.41/7.94 5 2 0 3 0 2 4 -> 0 2 3 5 5 1 2 0 1 4 , 29.41/7.94 5 3 0 0 0 5 4 -> 5 1 1 5 3 2 4 4 0 0 , 29.41/7.94 5 4 3 3 0 5 3 -> 5 1 1 3 5 4 3 5 1 3 } 29.41/7.94 29.41/7.94 29.41/7.94 The system was filtered by the following matrix interpretation 29.41/7.94 of type E_J with J = {1,...,2} and dimension 7: 29.41/7.94 29.41/7.94 0 is interpreted by 29.41/7.94 / \ 29.41/7.94 | 1 0 0 0 0 0 0 | 29.41/7.94 | 0 1 0 0 0 0 0 | 29.41/7.94 | 0 0 0 1 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 1 0 | 29.41/7.94 | 0 1 0 0 0 0 0 | 29.41/7.94 \ / 29.41/7.94 3 is interpreted by 29.41/7.94 / \ 29.41/7.94 | 1 0 1 0 0 0 0 | 29.41/7.94 | 0 1 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 1 0 0 | 29.41/7.94 | 0 0 0 0 0 1 0 | 29.41/7.94 | 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 | 29.41/7.94 \ / 29.41/7.94 4 is interpreted by 29.41/7.94 / \ 29.41/7.94 | 1 0 0 0 0 0 0 | 29.41/7.94 | 0 1 0 0 0 0 0 | 29.41/7.94 | 0 0 1 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 | 29.41/7.94 \ / 29.41/7.94 1 is interpreted by 29.41/7.94 / \ 29.41/7.94 | 1 0 0 0 0 0 0 | 29.41/7.94 | 0 1 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 | 29.41/7.94 \ / 29.41/7.94 2 is interpreted by 29.41/7.94 / \ 29.41/7.94 | 1 0 0 0 0 0 0 | 29.41/7.94 | 0 1 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 1 | 29.41/7.94 | 0 0 0 0 0 0 0 | 29.41/7.94 \ / 29.41/7.94 5 is interpreted by 29.41/7.94 / \ 29.41/7.94 | 1 0 1 0 0 0 0 | 29.41/7.94 | 0 1 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 1 0 0 0 0 | 29.41/7.94 | 0 1 0 0 0 0 0 | 29.41/7.94 \ / 29.41/7.94 29.41/7.94 Remains to prove termination of the 35-rule system 29.41/7.94 { 0 3 4 -> 3 1 2 1 2 1 1 3 5 4 , 29.41/7.94 3 2 5 -> 2 2 5 3 3 2 2 1 1 2 , 29.41/7.94 4 1 0 -> 1 2 0 2 4 4 4 4 4 4 , 29.41/7.94 0 0 5 0 -> 0 0 2 2 2 3 3 3 1 1 , 29.41/7.94 0 3 2 0 -> 3 4 1 2 3 2 4 0 1 1 , 29.41/7.94 4 5 5 4 -> 1 3 0 4 1 4 2 2 2 2 , 29.41/7.94 5 0 5 0 -> 5 2 4 2 5 2 2 3 2 4 , 29.41/7.94 0 3 4 3 4 -> 2 1 0 4 2 3 5 3 3 4 , 29.41/7.94 4 3 0 0 2 -> 2 1 1 0 1 1 0 0 2 1 , 29.41/7.94 4 3 3 2 5 -> 1 1 1 4 2 5 2 1 4 5 , 29.41/7.94 4 5 1 5 4 -> 1 3 5 5 2 1 1 5 2 2 , 29.41/7.94 5 4 5 1 0 -> 2 1 1 5 3 1 4 2 1 0 , 29.41/7.94 5 5 1 3 5 -> 1 1 4 1 1 4 2 0 2 2 , 29.41/7.94 0 0 5 0 3 1 -> 0 0 4 1 1 4 5 2 3 1 , 29.41/7.94 0 3 5 0 5 1 -> 5 1 2 5 2 2 3 2 4 0 , 29.41/7.94 0 5 5 4 5 1 -> 5 5 2 0 1 1 1 2 0 1 , 29.41/7.94 3 5 2 5 3 1 -> 3 0 1 1 4 1 4 0 1 1 , 29.41/7.94 5 4 0 3 4 3 -> 5 3 1 4 3 2 2 1 4 3 , 29.41/7.94 5 4 5 4 5 4 -> 1 0 0 3 0 1 1 2 1 4 , 29.41/7.94 5 5 0 4 5 4 -> 5 3 4 4 3 5 1 1 2 5 , 29.41/7.94 0 2 0 0 5 4 5 -> 0 2 1 2 1 4 0 4 4 5 , 29.41/7.94 0 2 0 2 5 0 5 -> 2 5 3 1 0 4 2 5 1 1 , 29.41/7.94 0 3 0 0 3 5 0 -> 0 3 2 4 2 2 2 5 2 0 , 29.41/7.94 0 3 4 4 0 1 5 -> 2 4 2 4 0 4 3 2 1 2 , 29.41/7.94 1 2 0 3 2 3 3 -> 1 2 4 3 3 5 4 1 1 3 , 29.41/7.94 3 3 0 0 4 0 2 -> 4 1 1 5 0 1 2 5 5 1 , 29.41/7.94 3 5 0 5 5 5 4 -> 2 4 4 4 5 4 1 3 3 2 , 29.41/7.94 4 0 0 4 5 4 0 -> 4 3 1 2 1 3 4 0 3 1 , 29.41/7.94 4 0 4 0 5 4 5 -> 1 5 1 5 5 1 5 5 1 1 , 29.41/7.94 4 3 0 5 2 2 4 -> 1 2 4 1 2 0 0 4 1 4 , 29.41/7.94 5 0 1 3 3 2 0 -> 5 2 1 3 5 1 5 1 1 1 , 29.41/7.94 5 1 0 0 1 3 4 -> 5 5 3 2 4 1 2 3 3 4 , 29.41/7.94 5 2 0 3 0 2 4 -> 0 2 3 5 5 1 2 0 1 4 , 29.41/7.94 5 3 0 0 0 5 4 -> 5 1 1 5 3 2 4 4 0 0 , 29.41/7.94 5 4 3 3 0 5 3 -> 5 1 1 3 5 4 3 5 1 3 } 29.41/7.94 29.41/7.94 29.41/7.94 The system was filtered by the following matrix interpretation 29.41/7.94 of type E_J with J = {1,...,2} and dimension 8: 29.41/7.94 29.41/7.94 0 is interpreted by 29.41/7.94 / \ 29.41/7.94 | 1 0 0 0 0 0 0 0 | 29.41/7.94 | 0 1 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 1 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 1 0 0 0 0 0 0 | 29.41/7.94 \ / 29.41/7.94 3 is interpreted by 29.41/7.94 / \ 29.41/7.94 | 1 0 1 0 0 0 0 0 | 29.41/7.94 | 0 1 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 1 0 0 | 29.41/7.94 | 0 0 0 0 0 0 1 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 | 29.41/7.94 \ / 29.41/7.94 4 is interpreted by 29.41/7.94 / \ 29.41/7.94 | 1 0 0 0 0 0 0 0 | 29.41/7.94 | 0 1 0 0 0 0 0 0 | 29.41/7.94 | 0 0 1 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 | 29.41/7.94 \ / 29.41/7.94 1 is interpreted by 29.41/7.94 / \ 29.41/7.94 | 1 0 0 0 0 0 0 0 | 29.41/7.94 | 0 1 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 1 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 | 29.41/7.94 \ / 29.41/7.94 2 is interpreted by 29.41/7.94 / \ 29.41/7.94 | 1 0 0 0 0 0 0 0 | 29.41/7.94 | 0 1 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 1 | 29.41/7.94 | 0 0 0 0 0 0 0 0 | 29.41/7.94 \ / 29.41/7.94 5 is interpreted by 29.41/7.94 / \ 29.41/7.94 | 1 0 1 0 0 0 0 0 | 29.41/7.94 | 0 1 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 1 0 | 29.41/7.94 \ / 29.41/7.94 29.41/7.94 Remains to prove termination of the 34-rule system 29.41/7.94 { 0 3 4 -> 3 1 2 1 2 1 1 3 5 4 , 29.41/7.94 3 2 5 -> 2 2 5 3 3 2 2 1 1 2 , 29.41/7.94 4 1 0 -> 1 2 0 2 4 4 4 4 4 4 , 29.41/7.94 0 0 5 0 -> 0 0 2 2 2 3 3 3 1 1 , 29.41/7.94 0 3 2 0 -> 3 4 1 2 3 2 4 0 1 1 , 29.41/7.94 4 5 5 4 -> 1 3 0 4 1 4 2 2 2 2 , 29.41/7.94 5 0 5 0 -> 5 2 4 2 5 2 2 3 2 4 , 29.41/7.94 0 3 4 3 4 -> 2 1 0 4 2 3 5 3 3 4 , 29.41/7.94 4 3 0 0 2 -> 2 1 1 0 1 1 0 0 2 1 , 29.41/7.94 4 3 3 2 5 -> 1 1 1 4 2 5 2 1 4 5 , 29.41/7.94 4 5 1 5 4 -> 1 3 5 5 2 1 1 5 2 2 , 29.41/7.94 5 4 5 1 0 -> 2 1 1 5 3 1 4 2 1 0 , 29.41/7.94 5 5 1 3 5 -> 1 1 4 1 1 4 2 0 2 2 , 29.41/7.94 0 0 5 0 3 1 -> 0 0 4 1 1 4 5 2 3 1 , 29.41/7.94 0 3 5 0 5 1 -> 5 1 2 5 2 2 3 2 4 0 , 29.41/7.94 0 5 5 4 5 1 -> 5 5 2 0 1 1 1 2 0 1 , 29.41/7.94 3 5 2 5 3 1 -> 3 0 1 1 4 1 4 0 1 1 , 29.41/7.94 5 4 0 3 4 3 -> 5 3 1 4 3 2 2 1 4 3 , 29.41/7.94 5 4 5 4 5 4 -> 1 0 0 3 0 1 1 2 1 4 , 29.41/7.94 5 5 0 4 5 4 -> 5 3 4 4 3 5 1 1 2 5 , 29.41/7.94 0 2 0 0 5 4 5 -> 0 2 1 2 1 4 0 4 4 5 , 29.41/7.94 0 2 0 2 5 0 5 -> 2 5 3 1 0 4 2 5 1 1 , 29.41/7.94 0 3 0 0 3 5 0 -> 0 3 2 4 2 2 2 5 2 0 , 29.41/7.94 0 3 4 4 0 1 5 -> 2 4 2 4 0 4 3 2 1 2 , 29.41/7.94 1 2 0 3 2 3 3 -> 1 2 4 3 3 5 4 1 1 3 , 29.41/7.94 3 3 0 0 4 0 2 -> 4 1 1 5 0 1 2 5 5 1 , 29.41/7.94 3 5 0 5 5 5 4 -> 2 4 4 4 5 4 1 3 3 2 , 29.41/7.94 4 0 0 4 5 4 0 -> 4 3 1 2 1 3 4 0 3 1 , 29.41/7.94 4 0 4 0 5 4 5 -> 1 5 1 5 5 1 5 5 1 1 , 29.41/7.94 4 3 0 5 2 2 4 -> 1 2 4 1 2 0 0 4 1 4 , 29.41/7.94 5 1 0 0 1 3 4 -> 5 5 3 2 4 1 2 3 3 4 , 29.41/7.94 5 2 0 3 0 2 4 -> 0 2 3 5 5 1 2 0 1 4 , 29.41/7.94 5 3 0 0 0 5 4 -> 5 1 1 5 3 2 4 4 0 0 , 29.41/7.94 5 4 3 3 0 5 3 -> 5 1 1 3 5 4 3 5 1 3 } 29.41/7.94 29.41/7.94 29.41/7.94 The system was filtered by the following matrix interpretation 29.41/7.94 of type E_J with J = {1,...,2} and dimension 10: 29.41/7.94 29.41/7.94 0 is interpreted by 29.41/7.94 / \ 29.41/7.94 | 1 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 1 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 1 0 0 0 0 0 0 0 | 29.41/7.94 | 0 1 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 1 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 \ / 29.41/7.94 3 is interpreted by 29.41/7.94 / \ 29.41/7.94 | 1 0 1 0 1 0 0 0 0 0 | 29.41/7.94 | 0 1 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 \ / 29.41/7.94 4 is interpreted by 29.41/7.94 / \ 29.41/7.94 | 1 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 1 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 1 0 0 0 0 0 0 | 29.41/7.94 \ / 29.41/7.94 1 is interpreted by 29.41/7.94 / \ 29.41/7.94 | 1 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 1 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 \ / 29.41/7.94 2 is interpreted by 29.41/7.94 / \ 29.41/7.94 | 1 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 1 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 1 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 \ / 29.41/7.94 5 is interpreted by 29.41/7.94 / \ 29.41/7.94 | 1 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 1 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 1 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 1 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 1 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 1 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 1 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 \ / 29.41/7.94 29.41/7.94 Remains to prove termination of the 31-rule system 29.41/7.94 { 0 3 4 -> 3 1 2 1 2 1 1 3 5 4 , 29.41/7.94 4 1 0 -> 1 2 0 2 4 4 4 4 4 4 , 29.41/7.94 0 0 5 0 -> 0 0 2 2 2 3 3 3 1 1 , 29.41/7.94 4 5 5 4 -> 1 3 0 4 1 4 2 2 2 2 , 29.41/7.94 5 0 5 0 -> 5 2 4 2 5 2 2 3 2 4 , 29.41/7.94 0 3 4 3 4 -> 2 1 0 4 2 3 5 3 3 4 , 29.41/7.94 4 3 0 0 2 -> 2 1 1 0 1 1 0 0 2 1 , 29.41/7.94 4 5 1 5 4 -> 1 3 5 5 2 1 1 5 2 2 , 29.41/7.94 5 4 5 1 0 -> 2 1 1 5 3 1 4 2 1 0 , 29.41/7.94 5 5 1 3 5 -> 1 1 4 1 1 4 2 0 2 2 , 29.41/7.94 0 0 5 0 3 1 -> 0 0 4 1 1 4 5 2 3 1 , 29.41/7.94 0 3 5 0 5 1 -> 5 1 2 5 2 2 3 2 4 0 , 29.41/7.94 0 5 5 4 5 1 -> 5 5 2 0 1 1 1 2 0 1 , 29.41/7.94 3 5 2 5 3 1 -> 3 0 1 1 4 1 4 0 1 1 , 29.41/7.94 5 4 0 3 4 3 -> 5 3 1 4 3 2 2 1 4 3 , 29.41/7.94 5 4 5 4 5 4 -> 1 0 0 3 0 1 1 2 1 4 , 29.41/7.94 5 5 0 4 5 4 -> 5 3 4 4 3 5 1 1 2 5 , 29.41/7.94 0 2 0 0 5 4 5 -> 0 2 1 2 1 4 0 4 4 5 , 29.41/7.94 0 2 0 2 5 0 5 -> 2 5 3 1 0 4 2 5 1 1 , 29.41/7.94 0 3 0 0 3 5 0 -> 0 3 2 4 2 2 2 5 2 0 , 29.41/7.94 0 3 4 4 0 1 5 -> 2 4 2 4 0 4 3 2 1 2 , 29.41/7.94 1 2 0 3 2 3 3 -> 1 2 4 3 3 5 4 1 1 3 , 29.41/7.94 3 3 0 0 4 0 2 -> 4 1 1 5 0 1 2 5 5 1 , 29.41/7.94 3 5 0 5 5 5 4 -> 2 4 4 4 5 4 1 3 3 2 , 29.41/7.94 4 0 0 4 5 4 0 -> 4 3 1 2 1 3 4 0 3 1 , 29.41/7.94 4 0 4 0 5 4 5 -> 1 5 1 5 5 1 5 5 1 1 , 29.41/7.94 4 3 0 5 2 2 4 -> 1 2 4 1 2 0 0 4 1 4 , 29.41/7.94 5 1 0 0 1 3 4 -> 5 5 3 2 4 1 2 3 3 4 , 29.41/7.94 5 2 0 3 0 2 4 -> 0 2 3 5 5 1 2 0 1 4 , 29.41/7.94 5 3 0 0 0 5 4 -> 5 1 1 5 3 2 4 4 0 0 , 29.41/7.94 5 4 3 3 0 5 3 -> 5 1 1 3 5 4 3 5 1 3 } 29.41/7.94 29.41/7.94 29.41/7.94 The system was filtered by the following matrix interpretation 29.41/7.94 of type E_J with J = {1,...,2} and dimension 7: 29.41/7.94 29.41/7.94 0 is interpreted by 29.41/7.94 / \ 29.41/7.94 | 1 0 0 0 0 0 0 | 29.41/7.94 | 0 1 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 1 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 1 1 | 29.41/7.94 \ / 29.41/7.94 3 is interpreted by 29.41/7.94 / \ 29.41/7.94 | 1 0 0 0 0 0 0 | 29.41/7.94 | 0 1 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 | 29.41/7.94 | 0 1 0 0 0 0 0 | 29.41/7.94 \ / 29.41/7.94 4 is interpreted by 29.41/7.94 / \ 29.41/7.94 | 1 0 0 0 0 0 0 | 29.41/7.94 | 0 1 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 1 0 | 29.41/7.94 | 0 0 0 0 0 0 0 | 29.41/7.94 | 0 1 1 0 0 0 0 | 29.41/7.94 \ / 29.41/7.94 1 is interpreted by 29.41/7.94 / \ 29.41/7.94 | 1 0 0 0 0 0 0 | 29.41/7.94 | 0 1 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 | 29.41/7.94 \ / 29.41/7.94 2 is interpreted by 29.41/7.94 / \ 29.41/7.94 | 1 0 0 0 0 0 0 | 29.41/7.94 | 0 1 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 | 29.41/7.94 \ / 29.41/7.94 5 is interpreted by 29.41/7.94 / \ 29.41/7.94 | 1 0 1 0 0 0 0 | 29.41/7.94 | 0 1 0 0 0 0 0 | 29.41/7.94 | 0 0 0 1 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 1 0 0 0 1 | 29.41/7.94 | 0 0 0 0 0 0 0 | 29.41/7.94 \ / 29.41/7.94 29.41/7.94 Remains to prove termination of the 30-rule system 29.41/7.94 { 0 3 4 -> 3 1 2 1 2 1 1 3 5 4 , 29.41/7.94 4 1 0 -> 1 2 0 2 4 4 4 4 4 4 , 29.41/7.94 0 0 5 0 -> 0 0 2 2 2 3 3 3 1 1 , 29.41/7.94 4 5 5 4 -> 1 3 0 4 1 4 2 2 2 2 , 29.41/7.94 5 0 5 0 -> 5 2 4 2 5 2 2 3 2 4 , 29.41/7.94 0 3 4 3 4 -> 2 1 0 4 2 3 5 3 3 4 , 29.41/7.94 4 3 0 0 2 -> 2 1 1 0 1 1 0 0 2 1 , 29.41/7.94 4 5 1 5 4 -> 1 3 5 5 2 1 1 5 2 2 , 29.41/7.94 5 4 5 1 0 -> 2 1 1 5 3 1 4 2 1 0 , 29.41/7.94 5 5 1 3 5 -> 1 1 4 1 1 4 2 0 2 2 , 29.41/7.94 0 0 5 0 3 1 -> 0 0 4 1 1 4 5 2 3 1 , 29.41/7.94 0 3 5 0 5 1 -> 5 1 2 5 2 2 3 2 4 0 , 29.41/7.94 0 5 5 4 5 1 -> 5 5 2 0 1 1 1 2 0 1 , 29.41/7.94 3 5 2 5 3 1 -> 3 0 1 1 4 1 4 0 1 1 , 29.41/7.94 5 4 0 3 4 3 -> 5 3 1 4 3 2 2 1 4 3 , 29.41/7.94 5 4 5 4 5 4 -> 1 0 0 3 0 1 1 2 1 4 , 29.41/7.94 0 2 0 0 5 4 5 -> 0 2 1 2 1 4 0 4 4 5 , 29.41/7.94 0 2 0 2 5 0 5 -> 2 5 3 1 0 4 2 5 1 1 , 29.41/7.94 0 3 0 0 3 5 0 -> 0 3 2 4 2 2 2 5 2 0 , 29.41/7.94 0 3 4 4 0 1 5 -> 2 4 2 4 0 4 3 2 1 2 , 29.41/7.94 1 2 0 3 2 3 3 -> 1 2 4 3 3 5 4 1 1 3 , 29.41/7.94 3 3 0 0 4 0 2 -> 4 1 1 5 0 1 2 5 5 1 , 29.41/7.94 3 5 0 5 5 5 4 -> 2 4 4 4 5 4 1 3 3 2 , 29.41/7.94 4 0 0 4 5 4 0 -> 4 3 1 2 1 3 4 0 3 1 , 29.41/7.94 4 0 4 0 5 4 5 -> 1 5 1 5 5 1 5 5 1 1 , 29.41/7.94 4 3 0 5 2 2 4 -> 1 2 4 1 2 0 0 4 1 4 , 29.41/7.94 5 1 0 0 1 3 4 -> 5 5 3 2 4 1 2 3 3 4 , 29.41/7.94 5 2 0 3 0 2 4 -> 0 2 3 5 5 1 2 0 1 4 , 29.41/7.94 5 3 0 0 0 5 4 -> 5 1 1 5 3 2 4 4 0 0 , 29.41/7.94 5 4 3 3 0 5 3 -> 5 1 1 3 5 4 3 5 1 3 } 29.41/7.94 29.41/7.94 29.41/7.94 The system was filtered by the following matrix interpretation 29.41/7.94 of type E_J with J = {1,...,2} and dimension 8: 29.41/7.94 29.41/7.94 0 is interpreted by 29.41/7.94 / \ 29.41/7.94 | 1 0 0 0 0 0 0 0 | 29.41/7.94 | 0 1 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 1 0 0 0 | 29.41/7.94 | 0 0 0 0 0 1 0 0 | 29.41/7.94 | 0 0 0 0 0 0 1 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 1 0 1 | 29.41/7.94 \ / 29.41/7.94 3 is interpreted by 29.41/7.94 / \ 29.41/7.94 | 1 0 0 0 0 0 0 0 | 29.41/7.94 | 0 1 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 1 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 1 0 0 0 0 0 0 | 29.41/7.94 \ / 29.41/7.94 4 is interpreted by 29.41/7.94 / \ 29.41/7.94 | 1 0 0 0 0 0 0 0 | 29.41/7.94 | 0 1 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 1 0 0 0 0 0 0 | 29.41/7.94 \ / 29.41/7.94 1 is interpreted by 29.41/7.94 / \ 29.41/7.94 | 1 0 0 0 0 0 0 0 | 29.41/7.94 | 0 1 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 | 29.41/7.94 \ / 29.41/7.94 2 is interpreted by 29.41/7.94 / \ 29.41/7.94 | 1 0 0 0 0 0 0 0 | 29.41/7.94 | 0 1 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 | 29.41/7.94 \ / 29.41/7.94 5 is interpreted by 29.41/7.94 / \ 29.41/7.94 | 1 0 1 0 0 0 0 0 | 29.41/7.94 | 0 1 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 1 | 29.41/7.94 | 0 0 0 0 0 0 0 0 | 29.41/7.94 \ / 29.41/7.94 29.41/7.94 Remains to prove termination of the 29-rule system 29.41/7.94 { 0 3 4 -> 3 1 2 1 2 1 1 3 5 4 , 29.41/7.94 4 1 0 -> 1 2 0 2 4 4 4 4 4 4 , 29.41/7.94 0 0 5 0 -> 0 0 2 2 2 3 3 3 1 1 , 29.41/7.94 4 5 5 4 -> 1 3 0 4 1 4 2 2 2 2 , 29.41/7.94 5 0 5 0 -> 5 2 4 2 5 2 2 3 2 4 , 29.41/7.94 0 3 4 3 4 -> 2 1 0 4 2 3 5 3 3 4 , 29.41/7.94 4 3 0 0 2 -> 2 1 1 0 1 1 0 0 2 1 , 29.41/7.94 4 5 1 5 4 -> 1 3 5 5 2 1 1 5 2 2 , 29.41/7.94 5 4 5 1 0 -> 2 1 1 5 3 1 4 2 1 0 , 29.41/7.94 5 5 1 3 5 -> 1 1 4 1 1 4 2 0 2 2 , 29.41/7.94 0 0 5 0 3 1 -> 0 0 4 1 1 4 5 2 3 1 , 29.41/7.94 0 3 5 0 5 1 -> 5 1 2 5 2 2 3 2 4 0 , 29.41/7.94 0 5 5 4 5 1 -> 5 5 2 0 1 1 1 2 0 1 , 29.41/7.94 3 5 2 5 3 1 -> 3 0 1 1 4 1 4 0 1 1 , 29.41/7.94 5 4 0 3 4 3 -> 5 3 1 4 3 2 2 1 4 3 , 29.41/7.94 5 4 5 4 5 4 -> 1 0 0 3 0 1 1 2 1 4 , 29.41/7.94 0 2 0 0 5 4 5 -> 0 2 1 2 1 4 0 4 4 5 , 29.41/7.94 0 2 0 2 5 0 5 -> 2 5 3 1 0 4 2 5 1 1 , 29.41/7.94 0 3 0 0 3 5 0 -> 0 3 2 4 2 2 2 5 2 0 , 29.41/7.94 0 3 4 4 0 1 5 -> 2 4 2 4 0 4 3 2 1 2 , 29.41/7.94 1 2 0 3 2 3 3 -> 1 2 4 3 3 5 4 1 1 3 , 29.41/7.94 3 3 0 0 4 0 2 -> 4 1 1 5 0 1 2 5 5 1 , 29.41/7.94 3 5 0 5 5 5 4 -> 2 4 4 4 5 4 1 3 3 2 , 29.41/7.94 4 0 0 4 5 4 0 -> 4 3 1 2 1 3 4 0 3 1 , 29.41/7.94 4 0 4 0 5 4 5 -> 1 5 1 5 5 1 5 5 1 1 , 29.41/7.94 4 3 0 5 2 2 4 -> 1 2 4 1 2 0 0 4 1 4 , 29.41/7.94 5 1 0 0 1 3 4 -> 5 5 3 2 4 1 2 3 3 4 , 29.41/7.94 5 2 0 3 0 2 4 -> 0 2 3 5 5 1 2 0 1 4 , 29.41/7.94 5 4 3 3 0 5 3 -> 5 1 1 3 5 4 3 5 1 3 } 29.41/7.94 29.41/7.94 29.41/7.94 The system was filtered by the following matrix interpretation 29.41/7.94 of type E_J with J = {1,...,2} and dimension 14: 29.41/7.94 29.41/7.94 0 is interpreted by 29.41/7.94 / \ 29.41/7.94 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 \ / 29.41/7.94 3 is interpreted by 29.41/7.94 / \ 29.41/7.94 | 1 0 0 0 0 0 0 0 1 0 0 0 0 0 | 29.41/7.94 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 29.41/7.94 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 \ / 29.41/7.94 4 is interpreted by 29.41/7.94 / \ 29.41/7.94 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 \ / 29.41/7.94 1 is interpreted by 29.41/7.94 / \ 29.41/7.94 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 \ / 29.41/7.94 2 is interpreted by 29.41/7.94 / \ 29.41/7.94 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 \ / 29.41/7.94 5 is interpreted by 29.41/7.94 / \ 29.41/7.94 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.41/7.94 \ / 29.41/7.94 29.41/7.94 Remains to prove termination of the 28-rule system 29.41/7.94 { 0 3 4 -> 3 1 2 1 2 1 1 3 5 4 , 29.41/7.94 4 1 0 -> 1 2 0 2 4 4 4 4 4 4 , 29.41/7.94 0 0 5 0 -> 0 0 2 2 2 3 3 3 1 1 , 29.41/7.94 4 5 5 4 -> 1 3 0 4 1 4 2 2 2 2 , 29.41/7.94 5 0 5 0 -> 5 2 4 2 5 2 2 3 2 4 , 29.41/7.94 0 3 4 3 4 -> 2 1 0 4 2 3 5 3 3 4 , 29.41/7.94 4 3 0 0 2 -> 2 1 1 0 1 1 0 0 2 1 , 29.41/7.94 4 5 1 5 4 -> 1 3 5 5 2 1 1 5 2 2 , 29.41/7.94 5 4 5 1 0 -> 2 1 1 5 3 1 4 2 1 0 , 29.41/7.94 5 5 1 3 5 -> 1 1 4 1 1 4 2 0 2 2 , 29.41/7.94 0 0 5 0 3 1 -> 0 0 4 1 1 4 5 2 3 1 , 29.41/7.94 0 3 5 0 5 1 -> 5 1 2 5 2 2 3 2 4 0 , 29.41/7.94 0 5 5 4 5 1 -> 5 5 2 0 1 1 1 2 0 1 , 29.41/7.94 3 5 2 5 3 1 -> 3 0 1 1 4 1 4 0 1 1 , 29.41/7.94 5 4 0 3 4 3 -> 5 3 1 4 3 2 2 1 4 3 , 29.41/7.94 5 4 5 4 5 4 -> 1 0 0 3 0 1 1 2 1 4 , 29.41/7.94 0 2 0 0 5 4 5 -> 0 2 1 2 1 4 0 4 4 5 , 29.41/7.94 0 2 0 2 5 0 5 -> 2 5 3 1 0 4 2 5 1 1 , 29.41/7.94 0 3 0 0 3 5 0 -> 0 3 2 4 2 2 2 5 2 0 , 29.41/7.94 0 3 4 4 0 1 5 -> 2 4 2 4 0 4 3 2 1 2 , 29.41/7.94 1 2 0 3 2 3 3 -> 1 2 4 3 3 5 4 1 1 3 , 29.41/7.94 3 3 0 0 4 0 2 -> 4 1 1 5 0 1 2 5 5 1 , 29.41/7.94 3 5 0 5 5 5 4 -> 2 4 4 4 5 4 1 3 3 2 , 29.41/7.94 4 0 0 4 5 4 0 -> 4 3 1 2 1 3 4 0 3 1 , 29.41/7.94 4 0 4 0 5 4 5 -> 1 5 1 5 5 1 5 5 1 1 , 29.41/7.94 4 3 0 5 2 2 4 -> 1 2 4 1 2 0 0 4 1 4 , 29.41/7.94 5 2 0 3 0 2 4 -> 0 2 3 5 5 1 2 0 1 4 , 29.41/7.94 5 4 3 3 0 5 3 -> 5 1 1 3 5 4 3 5 1 3 } 29.41/7.94 29.41/7.94 29.41/7.94 The system was filtered by the following matrix interpretation 29.41/7.94 of type E_J with J = {1,...,2} and dimension 5: 29.41/7.94 29.41/7.94 0 is interpreted by 29.41/7.94 / \ 29.41/7.94 | 1 0 0 0 0 | 29.41/7.94 | 0 1 0 0 0 | 29.41/7.94 | 0 0 0 1 0 | 29.41/7.94 | 0 0 0 1 0 | 29.41/7.94 | 0 1 0 0 0 | 29.41/7.94 \ / 29.41/7.94 3 is interpreted by 29.41/7.94 / \ 29.41/7.94 | 1 0 0 0 0 | 29.41/7.94 | 0 1 0 0 0 | 29.41/7.94 | 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 | 29.41/7.94 \ / 29.41/7.94 4 is interpreted by 29.41/7.94 / \ 29.41/7.94 | 1 0 0 0 0 | 29.41/7.94 | 0 1 0 0 0 | 29.41/7.94 | 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 | 29.41/7.94 \ / 29.41/7.94 1 is interpreted by 29.41/7.94 / \ 29.41/7.94 | 1 0 0 0 0 | 29.41/7.94 | 0 1 0 0 0 | 29.41/7.94 | 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 | 29.41/7.94 \ / 29.41/7.94 2 is interpreted by 29.41/7.94 / \ 29.41/7.94 | 1 0 0 0 0 | 29.41/7.94 | 0 1 0 0 0 | 29.41/7.94 | 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 0 | 29.41/7.94 \ / 29.41/7.94 5 is interpreted by 29.41/7.94 / \ 29.41/7.94 | 1 0 1 0 0 | 29.41/7.94 | 0 1 0 0 0 | 29.41/7.94 | 0 0 0 0 0 | 29.41/7.94 | 0 0 0 0 1 | 29.41/7.94 | 0 1 0 0 0 | 29.41/7.94 \ / 29.41/7.94 29.41/7.94 Remains to prove termination of the 26-rule system 29.41/7.94 { 0 3 4 -> 3 1 2 1 2 1 1 3 5 4 , 29.41/7.94 4 1 0 -> 1 2 0 2 4 4 4 4 4 4 , 29.41/7.94 0 0 5 0 -> 0 0 2 2 2 3 3 3 1 1 , 29.41/7.94 4 5 5 4 -> 1 3 0 4 1 4 2 2 2 2 , 29.41/7.94 0 3 4 3 4 -> 2 1 0 4 2 3 5 3 3 4 , 29.41/7.94 4 3 0 0 2 -> 2 1 1 0 1 1 0 0 2 1 , 29.41/7.94 4 5 1 5 4 -> 1 3 5 5 2 1 1 5 2 2 , 29.41/7.94 5 4 5 1 0 -> 2 1 1 5 3 1 4 2 1 0 , 29.41/7.94 5 5 1 3 5 -> 1 1 4 1 1 4 2 0 2 2 , 29.41/7.94 0 0 5 0 3 1 -> 0 0 4 1 1 4 5 2 3 1 , 29.41/7.94 0 3 5 0 5 1 -> 5 1 2 5 2 2 3 2 4 0 , 29.41/7.94 0 5 5 4 5 1 -> 5 5 2 0 1 1 1 2 0 1 , 29.41/7.94 3 5 2 5 3 1 -> 3 0 1 1 4 1 4 0 1 1 , 29.41/7.94 5 4 0 3 4 3 -> 5 3 1 4 3 2 2 1 4 3 , 29.41/7.94 5 4 5 4 5 4 -> 1 0 0 3 0 1 1 2 1 4 , 29.41/7.94 0 2 0 0 5 4 5 -> 0 2 1 2 1 4 0 4 4 5 , 29.41/7.94 0 2 0 2 5 0 5 -> 2 5 3 1 0 4 2 5 1 1 , 29.41/7.94 0 3 0 0 3 5 0 -> 0 3 2 4 2 2 2 5 2 0 , 29.41/7.94 0 3 4 4 0 1 5 -> 2 4 2 4 0 4 3 2 1 2 , 29.41/7.94 1 2 0 3 2 3 3 -> 1 2 4 3 3 5 4 1 1 3 , 29.41/7.94 3 3 0 0 4 0 2 -> 4 1 1 5 0 1 2 5 5 1 , 29.41/7.94 4 0 0 4 5 4 0 -> 4 3 1 2 1 3 4 0 3 1 , 29.41/7.94 4 0 4 0 5 4 5 -> 1 5 1 5 5 1 5 5 1 1 , 29.41/7.94 4 3 0 5 2 2 4 -> 1 2 4 1 2 0 0 4 1 4 , 29.41/7.94 5 2 0 3 0 2 4 -> 0 2 3 5 5 1 2 0 1 4 , 29.41/7.94 5 4 3 3 0 5 3 -> 5 1 1 3 5 4 3 5 1 3 } 29.41/7.94 29.41/7.94 29.41/7.94 The system was filtered by the following matrix interpretation 29.41/7.94 of type E_J with J = {1,...,2} and dimension 7: 29.41/7.94 29.41/7.94 0 is interpreted by 29.69/7.94 / \ 29.69/7.94 | 1 0 0 0 0 0 0 | 29.69/7.94 | 0 1 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 1 1 | 29.69/7.94 \ / 29.69/7.94 3 is interpreted by 29.69/7.94 / \ 29.69/7.94 | 1 0 1 0 0 0 0 | 29.69/7.94 | 0 1 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 | 29.69/7.94 | 0 1 0 0 0 0 0 | 29.69/7.94 \ / 29.69/7.94 4 is interpreted by 29.69/7.94 / \ 29.69/7.94 | 1 0 0 0 0 0 0 | 29.69/7.94 | 0 1 0 0 0 0 0 | 29.69/7.94 | 0 0 0 1 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 1 0 | 29.69/7.94 | 0 0 0 0 0 0 0 | 29.69/7.94 | 0 1 0 0 0 0 0 | 29.69/7.94 \ / 29.69/7.94 1 is interpreted by 29.69/7.94 / \ 29.69/7.94 | 1 0 0 0 0 0 0 | 29.69/7.94 | 0 1 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 | 29.69/7.94 \ / 29.69/7.94 2 is interpreted by 29.69/7.94 / \ 29.69/7.94 | 1 0 0 0 0 0 0 | 29.69/7.94 | 0 1 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 | 29.69/7.94 \ / 29.69/7.94 5 is interpreted by 29.69/7.94 / \ 29.69/7.94 | 1 0 1 0 0 0 0 | 29.69/7.94 | 0 1 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 1 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 1 | 29.69/7.94 | 0 0 0 0 0 0 0 | 29.69/7.94 \ / 29.69/7.94 29.69/7.94 Remains to prove termination of the 25-rule system 29.69/7.94 { 0 3 4 -> 3 1 2 1 2 1 1 3 5 4 , 29.69/7.94 4 1 0 -> 1 2 0 2 4 4 4 4 4 4 , 29.69/7.94 0 0 5 0 -> 0 0 2 2 2 3 3 3 1 1 , 29.69/7.94 4 5 5 4 -> 1 3 0 4 1 4 2 2 2 2 , 29.69/7.94 0 3 4 3 4 -> 2 1 0 4 2 3 5 3 3 4 , 29.69/7.94 4 3 0 0 2 -> 2 1 1 0 1 1 0 0 2 1 , 29.69/7.94 4 5 1 5 4 -> 1 3 5 5 2 1 1 5 2 2 , 29.69/7.94 5 4 5 1 0 -> 2 1 1 5 3 1 4 2 1 0 , 29.69/7.94 5 5 1 3 5 -> 1 1 4 1 1 4 2 0 2 2 , 29.69/7.94 0 0 5 0 3 1 -> 0 0 4 1 1 4 5 2 3 1 , 29.69/7.94 0 3 5 0 5 1 -> 5 1 2 5 2 2 3 2 4 0 , 29.69/7.94 0 5 5 4 5 1 -> 5 5 2 0 1 1 1 2 0 1 , 29.69/7.94 3 5 2 5 3 1 -> 3 0 1 1 4 1 4 0 1 1 , 29.69/7.94 5 4 0 3 4 3 -> 5 3 1 4 3 2 2 1 4 3 , 29.69/7.94 0 2 0 0 5 4 5 -> 0 2 1 2 1 4 0 4 4 5 , 29.69/7.94 0 2 0 2 5 0 5 -> 2 5 3 1 0 4 2 5 1 1 , 29.69/7.94 0 3 0 0 3 5 0 -> 0 3 2 4 2 2 2 5 2 0 , 29.69/7.94 0 3 4 4 0 1 5 -> 2 4 2 4 0 4 3 2 1 2 , 29.69/7.94 1 2 0 3 2 3 3 -> 1 2 4 3 3 5 4 1 1 3 , 29.69/7.94 3 3 0 0 4 0 2 -> 4 1 1 5 0 1 2 5 5 1 , 29.69/7.94 4 0 0 4 5 4 0 -> 4 3 1 2 1 3 4 0 3 1 , 29.69/7.94 4 0 4 0 5 4 5 -> 1 5 1 5 5 1 5 5 1 1 , 29.69/7.94 4 3 0 5 2 2 4 -> 1 2 4 1 2 0 0 4 1 4 , 29.69/7.94 5 2 0 3 0 2 4 -> 0 2 3 5 5 1 2 0 1 4 , 29.69/7.94 5 4 3 3 0 5 3 -> 5 1 1 3 5 4 3 5 1 3 } 29.69/7.94 29.69/7.94 29.69/7.94 The system was filtered by the following matrix interpretation 29.69/7.94 of type E_J with J = {1,...,2} and dimension 6: 29.69/7.94 29.69/7.94 0 is interpreted by 29.69/7.94 / \ 29.69/7.94 | 1 0 0 0 0 0 | 29.69/7.94 | 0 1 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 | 29.69/7.94 | 0 1 0 0 0 0 | 29.69/7.94 \ / 29.69/7.94 3 is interpreted by 29.69/7.94 / \ 29.69/7.94 | 1 0 1 0 0 0 | 29.69/7.94 | 0 1 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 | 29.69/7.94 \ / 29.69/7.94 4 is interpreted by 29.69/7.94 / \ 29.69/7.94 | 1 0 0 0 0 0 | 29.69/7.94 | 0 1 0 0 0 0 | 29.69/7.94 | 0 0 0 1 0 0 | 29.69/7.94 | 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 1 | 29.69/7.94 | 0 0 0 0 0 0 | 29.69/7.94 \ / 29.69/7.94 1 is interpreted by 29.69/7.94 / \ 29.69/7.94 | 1 0 0 0 0 0 | 29.69/7.94 | 0 1 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 1 | 29.69/7.94 | 0 0 0 0 0 0 | 29.69/7.94 \ / 29.69/7.94 2 is interpreted by 29.69/7.94 / \ 29.69/7.94 | 1 0 0 0 0 0 | 29.69/7.94 | 0 1 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 | 29.69/7.94 \ / 29.69/7.94 5 is interpreted by 29.69/7.94 / \ 29.69/7.94 | 1 0 1 0 0 0 | 29.69/7.94 | 0 1 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 1 0 | 29.69/7.94 | 0 0 0 0 0 0 | 29.69/7.94 | 0 1 0 0 0 0 | 29.69/7.94 \ / 29.69/7.94 29.69/7.94 Remains to prove termination of the 24-rule system 29.69/7.94 { 0 3 4 -> 3 1 2 1 2 1 1 3 5 4 , 29.69/7.94 4 1 0 -> 1 2 0 2 4 4 4 4 4 4 , 29.69/7.94 0 0 5 0 -> 0 0 2 2 2 3 3 3 1 1 , 29.69/7.94 4 5 5 4 -> 1 3 0 4 1 4 2 2 2 2 , 29.69/7.94 0 3 4 3 4 -> 2 1 0 4 2 3 5 3 3 4 , 29.69/7.94 4 3 0 0 2 -> 2 1 1 0 1 1 0 0 2 1 , 29.69/7.94 4 5 1 5 4 -> 1 3 5 5 2 1 1 5 2 2 , 29.69/7.94 5 5 1 3 5 -> 1 1 4 1 1 4 2 0 2 2 , 29.69/7.94 0 0 5 0 3 1 -> 0 0 4 1 1 4 5 2 3 1 , 29.69/7.94 0 3 5 0 5 1 -> 5 1 2 5 2 2 3 2 4 0 , 29.69/7.94 0 5 5 4 5 1 -> 5 5 2 0 1 1 1 2 0 1 , 29.69/7.94 3 5 2 5 3 1 -> 3 0 1 1 4 1 4 0 1 1 , 29.69/7.94 5 4 0 3 4 3 -> 5 3 1 4 3 2 2 1 4 3 , 29.69/7.94 0 2 0 0 5 4 5 -> 0 2 1 2 1 4 0 4 4 5 , 29.69/7.94 0 2 0 2 5 0 5 -> 2 5 3 1 0 4 2 5 1 1 , 29.69/7.94 0 3 0 0 3 5 0 -> 0 3 2 4 2 2 2 5 2 0 , 29.69/7.94 0 3 4 4 0 1 5 -> 2 4 2 4 0 4 3 2 1 2 , 29.69/7.94 1 2 0 3 2 3 3 -> 1 2 4 3 3 5 4 1 1 3 , 29.69/7.94 3 3 0 0 4 0 2 -> 4 1 1 5 0 1 2 5 5 1 , 29.69/7.94 4 0 0 4 5 4 0 -> 4 3 1 2 1 3 4 0 3 1 , 29.69/7.94 4 0 4 0 5 4 5 -> 1 5 1 5 5 1 5 5 1 1 , 29.69/7.94 4 3 0 5 2 2 4 -> 1 2 4 1 2 0 0 4 1 4 , 29.69/7.94 5 2 0 3 0 2 4 -> 0 2 3 5 5 1 2 0 1 4 , 29.69/7.94 5 4 3 3 0 5 3 -> 5 1 1 3 5 4 3 5 1 3 } 29.69/7.94 29.69/7.94 29.69/7.94 The system was filtered by the following matrix interpretation 29.69/7.94 of type E_J with J = {1,...,2} and dimension 13: 29.69/7.94 29.69/7.94 0 is interpreted by 29.69/7.94 / \ 29.69/7.94 | 1 0 1 0 0 0 0 0 1 0 0 0 0 | 29.69/7.94 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 29.69/7.94 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 \ / 29.69/7.94 3 is interpreted by 29.69/7.94 / \ 29.69/7.94 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 \ / 29.69/7.94 4 is interpreted by 29.69/7.94 / \ 29.69/7.94 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 \ / 29.69/7.94 1 is interpreted by 29.69/7.94 / \ 29.69/7.94 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 1 0 0 0 0 0 1 0 0 0 0 | 29.69/7.94 \ / 29.69/7.94 2 is interpreted by 29.69/7.94 / \ 29.69/7.94 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 \ / 29.69/7.94 5 is interpreted by 29.69/7.94 / \ 29.69/7.94 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 29.69/7.94 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 \ / 29.69/7.94 29.69/7.94 Remains to prove termination of the 23-rule system 29.69/7.94 { 0 3 4 -> 3 1 2 1 2 1 1 3 5 4 , 29.69/7.94 4 1 0 -> 1 2 0 2 4 4 4 4 4 4 , 29.69/7.94 0 0 5 0 -> 0 0 2 2 2 3 3 3 1 1 , 29.69/7.94 4 5 5 4 -> 1 3 0 4 1 4 2 2 2 2 , 29.69/7.94 0 3 4 3 4 -> 2 1 0 4 2 3 5 3 3 4 , 29.69/7.94 4 3 0 0 2 -> 2 1 1 0 1 1 0 0 2 1 , 29.69/7.94 4 5 1 5 4 -> 1 3 5 5 2 1 1 5 2 2 , 29.69/7.94 5 5 1 3 5 -> 1 1 4 1 1 4 2 0 2 2 , 29.69/7.94 0 0 5 0 3 1 -> 0 0 4 1 1 4 5 2 3 1 , 29.69/7.94 0 3 5 0 5 1 -> 5 1 2 5 2 2 3 2 4 0 , 29.69/7.94 0 5 5 4 5 1 -> 5 5 2 0 1 1 1 2 0 1 , 29.69/7.94 3 5 2 5 3 1 -> 3 0 1 1 4 1 4 0 1 1 , 29.69/7.94 5 4 0 3 4 3 -> 5 3 1 4 3 2 2 1 4 3 , 29.69/7.94 0 2 0 0 5 4 5 -> 0 2 1 2 1 4 0 4 4 5 , 29.69/7.94 0 2 0 2 5 0 5 -> 2 5 3 1 0 4 2 5 1 1 , 29.69/7.94 0 3 4 4 0 1 5 -> 2 4 2 4 0 4 3 2 1 2 , 29.69/7.94 1 2 0 3 2 3 3 -> 1 2 4 3 3 5 4 1 1 3 , 29.69/7.94 3 3 0 0 4 0 2 -> 4 1 1 5 0 1 2 5 5 1 , 29.69/7.94 4 0 0 4 5 4 0 -> 4 3 1 2 1 3 4 0 3 1 , 29.69/7.94 4 0 4 0 5 4 5 -> 1 5 1 5 5 1 5 5 1 1 , 29.69/7.94 4 3 0 5 2 2 4 -> 1 2 4 1 2 0 0 4 1 4 , 29.69/7.94 5 2 0 3 0 2 4 -> 0 2 3 5 5 1 2 0 1 4 , 29.69/7.94 5 4 3 3 0 5 3 -> 5 1 1 3 5 4 3 5 1 3 } 29.69/7.94 29.69/7.94 29.69/7.94 The system was filtered by the following matrix interpretation 29.69/7.94 of type E_J with J = {1,...,2} and dimension 11: 29.69/7.94 29.69/7.94 0 is interpreted by 29.69/7.94 / \ 29.69/7.94 | 1 0 1 0 0 0 1 0 0 0 0 | 29.69/7.94 | 0 1 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 1 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 1 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 \ / 29.69/7.94 3 is interpreted by 29.69/7.94 / \ 29.69/7.94 | 1 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 1 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 1 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 1 0 0 0 0 0 | 29.69/7.94 | 0 1 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 1 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 \ / 29.69/7.94 4 is interpreted by 29.69/7.94 / \ 29.69/7.94 | 1 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 1 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 1 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 1 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 \ / 29.69/7.94 1 is interpreted by 29.69/7.94 / \ 29.69/7.94 | 1 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 1 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 1 0 0 0 1 0 0 0 0 | 29.69/7.94 \ / 29.69/7.94 2 is interpreted by 29.69/7.94 / \ 29.69/7.94 | 1 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 1 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 \ / 29.69/7.94 5 is interpreted by 29.69/7.94 / \ 29.69/7.94 | 1 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 1 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 1 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 1 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 \ / 29.69/7.94 29.69/7.94 Remains to prove termination of the 22-rule system 29.69/7.94 { 0 3 4 -> 3 1 2 1 2 1 1 3 5 4 , 29.69/7.94 4 1 0 -> 1 2 0 2 4 4 4 4 4 4 , 29.69/7.94 0 0 5 0 -> 0 0 2 2 2 3 3 3 1 1 , 29.69/7.94 4 5 5 4 -> 1 3 0 4 1 4 2 2 2 2 , 29.69/7.94 4 3 0 0 2 -> 2 1 1 0 1 1 0 0 2 1 , 29.69/7.94 4 5 1 5 4 -> 1 3 5 5 2 1 1 5 2 2 , 29.69/7.94 5 5 1 3 5 -> 1 1 4 1 1 4 2 0 2 2 , 29.69/7.94 0 0 5 0 3 1 -> 0 0 4 1 1 4 5 2 3 1 , 29.69/7.94 0 3 5 0 5 1 -> 5 1 2 5 2 2 3 2 4 0 , 29.69/7.94 0 5 5 4 5 1 -> 5 5 2 0 1 1 1 2 0 1 , 29.69/7.94 3 5 2 5 3 1 -> 3 0 1 1 4 1 4 0 1 1 , 29.69/7.94 5 4 0 3 4 3 -> 5 3 1 4 3 2 2 1 4 3 , 29.69/7.94 0 2 0 0 5 4 5 -> 0 2 1 2 1 4 0 4 4 5 , 29.69/7.94 0 2 0 2 5 0 5 -> 2 5 3 1 0 4 2 5 1 1 , 29.69/7.94 0 3 4 4 0 1 5 -> 2 4 2 4 0 4 3 2 1 2 , 29.69/7.94 1 2 0 3 2 3 3 -> 1 2 4 3 3 5 4 1 1 3 , 29.69/7.94 3 3 0 0 4 0 2 -> 4 1 1 5 0 1 2 5 5 1 , 29.69/7.94 4 0 0 4 5 4 0 -> 4 3 1 2 1 3 4 0 3 1 , 29.69/7.94 4 0 4 0 5 4 5 -> 1 5 1 5 5 1 5 5 1 1 , 29.69/7.94 4 3 0 5 2 2 4 -> 1 2 4 1 2 0 0 4 1 4 , 29.69/7.94 5 2 0 3 0 2 4 -> 0 2 3 5 5 1 2 0 1 4 , 29.69/7.94 5 4 3 3 0 5 3 -> 5 1 1 3 5 4 3 5 1 3 } 29.69/7.94 29.69/7.94 29.69/7.94 The system was filtered by the following matrix interpretation 29.69/7.94 of type E_J with J = {1,...,2} and dimension 10: 29.69/7.94 29.69/7.94 0 is interpreted by 29.69/7.94 / \ 29.69/7.94 | 1 0 1 0 0 1 0 0 0 0 | 29.69/7.94 | 0 1 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 1 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 1 0 0 0 0 0 0 | 29.69/7.94 | 0 1 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 1 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 \ / 29.69/7.94 3 is interpreted by 29.69/7.94 / \ 29.69/7.94 | 1 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 1 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 1 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 \ / 29.69/7.94 4 is interpreted by 29.69/7.94 / \ 29.69/7.94 | 1 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 1 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 \ / 29.69/7.94 1 is interpreted by 29.69/7.94 / \ 29.69/7.94 | 1 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 1 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 1 0 0 1 0 0 0 0 | 29.69/7.94 \ / 29.69/7.94 2 is interpreted by 29.69/7.94 / \ 29.69/7.94 | 1 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 1 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 \ / 29.69/7.94 5 is interpreted by 29.69/7.94 / \ 29.69/7.94 | 1 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 1 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 1 0 0 0 0 0 | 29.69/7.94 | 0 1 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 1 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 1 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 \ / 29.69/7.94 29.69/7.94 Remains to prove termination of the 20-rule system 29.69/7.94 { 0 3 4 -> 3 1 2 1 2 1 1 3 5 4 , 29.69/7.94 4 1 0 -> 1 2 0 2 4 4 4 4 4 4 , 29.69/7.94 4 5 5 4 -> 1 3 0 4 1 4 2 2 2 2 , 29.69/7.94 4 3 0 0 2 -> 2 1 1 0 1 1 0 0 2 1 , 29.69/7.94 4 5 1 5 4 -> 1 3 5 5 2 1 1 5 2 2 , 29.69/7.94 5 5 1 3 5 -> 1 1 4 1 1 4 2 0 2 2 , 29.69/7.94 0 3 5 0 5 1 -> 5 1 2 5 2 2 3 2 4 0 , 29.69/7.94 0 5 5 4 5 1 -> 5 5 2 0 1 1 1 2 0 1 , 29.69/7.94 3 5 2 5 3 1 -> 3 0 1 1 4 1 4 0 1 1 , 29.69/7.94 5 4 0 3 4 3 -> 5 3 1 4 3 2 2 1 4 3 , 29.69/7.94 0 2 0 0 5 4 5 -> 0 2 1 2 1 4 0 4 4 5 , 29.69/7.94 0 2 0 2 5 0 5 -> 2 5 3 1 0 4 2 5 1 1 , 29.69/7.94 0 3 4 4 0 1 5 -> 2 4 2 4 0 4 3 2 1 2 , 29.69/7.94 1 2 0 3 2 3 3 -> 1 2 4 3 3 5 4 1 1 3 , 29.69/7.94 3 3 0 0 4 0 2 -> 4 1 1 5 0 1 2 5 5 1 , 29.69/7.94 4 0 0 4 5 4 0 -> 4 3 1 2 1 3 4 0 3 1 , 29.69/7.94 4 0 4 0 5 4 5 -> 1 5 1 5 5 1 5 5 1 1 , 29.69/7.94 4 3 0 5 2 2 4 -> 1 2 4 1 2 0 0 4 1 4 , 29.69/7.94 5 2 0 3 0 2 4 -> 0 2 3 5 5 1 2 0 1 4 , 29.69/7.94 5 4 3 3 0 5 3 -> 5 1 1 3 5 4 3 5 1 3 } 29.69/7.94 29.69/7.94 29.69/7.94 The system was filtered by the following matrix interpretation 29.69/7.94 of type E_J with J = {1,...,2} and dimension 5: 29.69/7.94 29.69/7.94 0 is interpreted by 29.69/7.94 / \ 29.69/7.94 | 1 0 1 0 0 | 29.69/7.94 | 0 1 0 0 0 | 29.69/7.94 | 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 1 | 29.69/7.94 \ / 29.69/7.94 3 is interpreted by 29.69/7.94 / \ 29.69/7.94 | 1 0 0 0 0 | 29.69/7.94 | 0 1 0 0 0 | 29.69/7.94 | 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 | 29.69/7.94 | 0 1 0 0 0 | 29.69/7.94 \ / 29.69/7.94 4 is interpreted by 29.69/7.94 / \ 29.69/7.94 | 1 0 1 0 0 | 29.69/7.94 | 0 1 0 0 0 | 29.69/7.94 | 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 | 29.69/7.94 | 0 1 0 0 0 | 29.69/7.94 \ / 29.69/7.94 1 is interpreted by 29.69/7.94 / \ 29.69/7.94 | 1 0 0 0 0 | 29.69/7.94 | 0 1 0 0 0 | 29.69/7.94 | 0 0 0 0 0 | 29.69/7.94 | 0 0 1 0 0 | 29.69/7.94 | 0 0 0 0 0 | 29.69/7.94 \ / 29.69/7.94 2 is interpreted by 29.69/7.94 / \ 29.69/7.94 | 1 0 0 0 0 | 29.69/7.94 | 0 1 0 0 0 | 29.69/7.94 | 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 | 29.69/7.94 \ / 29.69/7.94 5 is interpreted by 29.69/7.94 / \ 29.69/7.94 | 1 0 0 0 0 | 29.69/7.94 | 0 1 0 0 0 | 29.69/7.94 | 0 0 0 1 0 | 29.69/7.94 | 0 0 0 0 1 | 29.69/7.94 | 0 0 0 0 0 | 29.69/7.94 \ / 29.69/7.94 29.69/7.94 Remains to prove termination of the 18-rule system 29.69/7.94 { 0 3 4 -> 3 1 2 1 2 1 1 3 5 4 , 29.69/7.94 4 1 0 -> 1 2 0 2 4 4 4 4 4 4 , 29.69/7.94 4 3 0 0 2 -> 2 1 1 0 1 1 0 0 2 1 , 29.69/7.94 4 5 1 5 4 -> 1 3 5 5 2 1 1 5 2 2 , 29.69/7.94 5 5 1 3 5 -> 1 1 4 1 1 4 2 0 2 2 , 29.69/7.94 0 3 5 0 5 1 -> 5 1 2 5 2 2 3 2 4 0 , 29.69/7.94 3 5 2 5 3 1 -> 3 0 1 1 4 1 4 0 1 1 , 29.69/7.94 5 4 0 3 4 3 -> 5 3 1 4 3 2 2 1 4 3 , 29.69/7.94 0 2 0 0 5 4 5 -> 0 2 1 2 1 4 0 4 4 5 , 29.69/7.94 0 2 0 2 5 0 5 -> 2 5 3 1 0 4 2 5 1 1 , 29.69/7.94 0 3 4 4 0 1 5 -> 2 4 2 4 0 4 3 2 1 2 , 29.69/7.94 1 2 0 3 2 3 3 -> 1 2 4 3 3 5 4 1 1 3 , 29.69/7.94 3 3 0 0 4 0 2 -> 4 1 1 5 0 1 2 5 5 1 , 29.69/7.94 4 0 0 4 5 4 0 -> 4 3 1 2 1 3 4 0 3 1 , 29.69/7.94 4 0 4 0 5 4 5 -> 1 5 1 5 5 1 5 5 1 1 , 29.69/7.94 4 3 0 5 2 2 4 -> 1 2 4 1 2 0 0 4 1 4 , 29.69/7.94 5 2 0 3 0 2 4 -> 0 2 3 5 5 1 2 0 1 4 , 29.69/7.94 5 4 3 3 0 5 3 -> 5 1 1 3 5 4 3 5 1 3 } 29.69/7.94 29.69/7.94 29.69/7.94 The system was filtered by the following matrix interpretation 29.69/7.94 of type E_J with J = {1,...,2} and dimension 13: 29.69/7.94 29.69/7.94 0 is interpreted by 29.69/7.94 / \ 29.69/7.94 | 1 0 1 0 0 0 0 0 1 0 0 0 0 | 29.69/7.94 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 \ / 29.69/7.94 3 is interpreted by 29.69/7.94 / \ 29.69/7.94 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 \ / 29.69/7.94 4 is interpreted by 29.69/7.94 / \ 29.69/7.94 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 \ / 29.69/7.94 1 is interpreted by 29.69/7.94 / \ 29.69/7.94 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 1 0 0 0 0 0 1 0 0 0 0 | 29.69/7.94 \ / 29.69/7.94 2 is interpreted by 29.69/7.94 / \ 29.69/7.94 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 \ / 29.69/7.94 5 is interpreted by 29.69/7.94 / \ 29.69/7.94 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 \ / 29.69/7.94 29.69/7.94 Remains to prove termination of the 17-rule system 29.69/7.94 { 0 3 4 -> 3 1 2 1 2 1 1 3 5 4 , 29.69/7.94 4 1 0 -> 1 2 0 2 4 4 4 4 4 4 , 29.69/7.94 4 3 0 0 2 -> 2 1 1 0 1 1 0 0 2 1 , 29.69/7.94 4 5 1 5 4 -> 1 3 5 5 2 1 1 5 2 2 , 29.69/7.94 5 5 1 3 5 -> 1 1 4 1 1 4 2 0 2 2 , 29.69/7.94 0 3 5 0 5 1 -> 5 1 2 5 2 2 3 2 4 0 , 29.69/7.94 3 5 2 5 3 1 -> 3 0 1 1 4 1 4 0 1 1 , 29.69/7.94 5 4 0 3 4 3 -> 5 3 1 4 3 2 2 1 4 3 , 29.69/7.94 0 2 0 2 5 0 5 -> 2 5 3 1 0 4 2 5 1 1 , 29.69/7.94 0 3 4 4 0 1 5 -> 2 4 2 4 0 4 3 2 1 2 , 29.69/7.94 1 2 0 3 2 3 3 -> 1 2 4 3 3 5 4 1 1 3 , 29.69/7.94 3 3 0 0 4 0 2 -> 4 1 1 5 0 1 2 5 5 1 , 29.69/7.94 4 0 0 4 5 4 0 -> 4 3 1 2 1 3 4 0 3 1 , 29.69/7.94 4 0 4 0 5 4 5 -> 1 5 1 5 5 1 5 5 1 1 , 29.69/7.94 4 3 0 5 2 2 4 -> 1 2 4 1 2 0 0 4 1 4 , 29.69/7.94 5 2 0 3 0 2 4 -> 0 2 3 5 5 1 2 0 1 4 , 29.69/7.94 5 4 3 3 0 5 3 -> 5 1 1 3 5 4 3 5 1 3 } 29.69/7.94 29.69/7.94 29.69/7.94 The system was filtered by the following matrix interpretation 29.69/7.94 of type E_J with J = {1,...,2} and dimension 13: 29.69/7.94 29.69/7.94 0 is interpreted by 29.69/7.94 / \ 29.69/7.94 | 1 0 1 0 0 0 0 0 1 0 0 0 0 | 29.69/7.94 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 29.69/7.94 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 \ / 29.69/7.94 3 is interpreted by 29.69/7.94 / \ 29.69/7.94 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 \ / 29.69/7.94 4 is interpreted by 29.69/7.94 / \ 29.69/7.94 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 \ / 29.69/7.94 1 is interpreted by 29.69/7.94 / \ 29.69/7.94 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 1 0 0 0 0 0 1 0 0 0 0 | 29.69/7.94 \ / 29.69/7.94 2 is interpreted by 29.69/7.94 / \ 29.69/7.94 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 \ / 29.69/7.94 5 is interpreted by 29.69/7.94 / \ 29.69/7.94 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 29.69/7.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 29.69/7.94 \ / 29.69/7.94 29.69/7.94 Remains to prove termination of the 16-rule system 29.69/7.94 { 0 3 4 -> 3 1 2 1 2 1 1 3 5 4 , 29.69/7.94 4 1 0 -> 1 2 0 2 4 4 4 4 4 4 , 29.69/7.94 4 3 0 0 2 -> 2 1 1 0 1 1 0 0 2 1 , 29.69/7.94 4 5 1 5 4 -> 1 3 5 5 2 1 1 5 2 2 , 29.69/7.94 5 5 1 3 5 -> 1 1 4 1 1 4 2 0 2 2 , 29.69/7.94 0 3 5 0 5 1 -> 5 1 2 5 2 2 3 2 4 0 , 29.69/7.94 3 5 2 5 3 1 -> 3 0 1 1 4 1 4 0 1 1 , 29.69/7.94 5 4 0 3 4 3 -> 5 3 1 4 3 2 2 1 4 3 , 29.69/7.94 0 3 4 4 0 1 5 -> 2 4 2 4 0 4 3 2 1 2 , 29.69/7.94 1 2 0 3 2 3 3 -> 1 2 4 3 3 5 4 1 1 3 , 29.69/7.94 3 3 0 0 4 0 2 -> 4 1 1 5 0 1 2 5 5 1 , 29.69/7.94 4 0 0 4 5 4 0 -> 4 3 1 2 1 3 4 0 3 1 , 29.69/7.94 4 0 4 0 5 4 5 -> 1 5 1 5 5 1 5 5 1 1 , 29.69/7.95 4 3 0 5 2 2 4 -> 1 2 4 1 2 0 0 4 1 4 , 29.69/7.95 5 2 0 3 0 2 4 -> 0 2 3 5 5 1 2 0 1 4 , 29.69/7.95 5 4 3 3 0 5 3 -> 5 1 1 3 5 4 3 5 1 3 } 29.69/7.95 29.69/7.95 29.69/7.95 The system was filtered by the following matrix interpretation 29.69/7.95 of type E_J with J = {1,...,2} and dimension 4: 29.69/7.95 29.69/7.95 0 is interpreted by 29.69/7.95 / \ 29.69/7.95 | 1 0 0 0 | 29.69/7.95 | 0 1 0 0 | 29.69/7.95 | 0 0 0 0 | 29.69/7.95 | 0 1 1 1 | 29.69/7.95 \ / 29.69/7.95 3 is interpreted by 29.69/7.95 / \ 29.69/7.95 | 1 0 0 0 | 29.69/7.95 | 0 1 0 0 | 29.69/7.95 | 0 0 0 0 | 29.69/7.95 | 0 0 0 0 | 29.69/7.95 \ / 29.69/7.95 4 is interpreted by 29.69/7.95 / \ 29.69/7.95 | 1 0 1 0 | 29.69/7.95 | 0 1 0 0 | 29.69/7.95 | 0 0 0 1 | 29.69/7.95 | 0 0 0 0 | 29.69/7.95 \ / 29.69/7.95 1 is interpreted by 29.69/7.95 / \ 29.69/7.95 | 1 0 0 0 | 29.69/7.95 | 0 1 0 0 | 29.69/7.95 | 0 0 0 1 | 29.69/7.95 | 0 0 0 0 | 29.69/7.95 \ / 29.69/7.95 2 is interpreted by 29.69/7.95 / \ 29.69/7.95 | 1 0 0 0 | 29.69/7.95 | 0 1 0 0 | 29.69/7.95 | 0 0 0 0 | 29.69/7.95 | 0 0 0 0 | 29.69/7.95 \ / 29.69/7.95 5 is interpreted by 29.69/7.95 / \ 29.69/7.95 | 1 0 0 0 | 29.69/7.95 | 0 1 0 0 | 29.69/7.95 | 0 0 0 0 | 29.69/7.95 | 0 1 0 0 | 29.69/7.95 \ / 29.69/7.95 29.69/7.95 Remains to prove termination of the 14-rule system 29.69/7.95 { 0 3 4 -> 3 1 2 1 2 1 1 3 5 4 , 29.69/7.95 4 3 0 0 2 -> 2 1 1 0 1 1 0 0 2 1 , 29.69/7.95 4 5 1 5 4 -> 1 3 5 5 2 1 1 5 2 2 , 29.69/7.95 5 5 1 3 5 -> 1 1 4 1 1 4 2 0 2 2 , 29.69/7.95 0 3 5 0 5 1 -> 5 1 2 5 2 2 3 2 4 0 , 29.69/7.95 3 5 2 5 3 1 -> 3 0 1 1 4 1 4 0 1 1 , 29.69/7.95 5 4 0 3 4 3 -> 5 3 1 4 3 2 2 1 4 3 , 29.69/7.95 1 2 0 3 2 3 3 -> 1 2 4 3 3 5 4 1 1 3 , 29.69/7.95 3 3 0 0 4 0 2 -> 4 1 1 5 0 1 2 5 5 1 , 29.69/7.95 4 0 0 4 5 4 0 -> 4 3 1 2 1 3 4 0 3 1 , 29.69/7.95 4 0 4 0 5 4 5 -> 1 5 1 5 5 1 5 5 1 1 , 29.69/7.95 4 3 0 5 2 2 4 -> 1 2 4 1 2 0 0 4 1 4 , 29.69/7.95 5 2 0 3 0 2 4 -> 0 2 3 5 5 1 2 0 1 4 , 29.69/7.95 5 4 3 3 0 5 3 -> 5 1 1 3 5 4 3 5 1 3 } 29.69/7.95 29.69/7.95 29.69/7.95 The system was filtered by the following matrix interpretation 29.69/7.95 of type E_J with J = {1,...,2} and dimension 6: 29.69/7.95 29.69/7.95 0 is interpreted by 29.69/7.95 / \ 29.69/7.95 | 1 0 0 0 0 0 | 29.69/7.95 | 0 1 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 1 | 29.69/7.95 \ / 29.69/7.95 3 is interpreted by 29.69/7.95 / \ 29.69/7.95 | 1 0 0 0 0 0 | 29.69/7.95 | 0 1 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 | 29.69/7.95 | 0 1 0 0 0 0 | 29.69/7.95 \ / 29.69/7.95 4 is interpreted by 29.69/7.95 / \ 29.69/7.95 | 1 0 1 0 0 0 | 29.69/7.95 | 0 1 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 | 29.69/7.95 | 0 1 0 0 0 0 | 29.69/7.95 \ / 29.69/7.95 1 is interpreted by 29.69/7.95 / \ 29.69/7.95 | 1 0 0 0 0 0 | 29.69/7.95 | 0 1 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 1 0 | 29.69/7.95 | 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 | 29.69/7.95 \ / 29.69/7.95 2 is interpreted by 29.69/7.95 / \ 29.69/7.95 | 1 0 0 0 0 0 | 29.69/7.95 | 0 1 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 | 29.69/7.95 \ / 29.69/7.95 5 is interpreted by 29.69/7.95 / \ 29.69/7.95 | 1 0 0 0 0 0 | 29.69/7.95 | 0 1 0 0 0 0 | 29.69/7.95 | 0 0 0 1 0 0 | 29.69/7.95 | 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 1 | 29.69/7.95 | 0 0 0 0 0 0 | 29.69/7.95 \ / 29.69/7.95 29.69/7.95 Remains to prove termination of the 13-rule system 29.69/7.95 { 0 3 4 -> 3 1 2 1 2 1 1 3 5 4 , 29.69/7.95 4 3 0 0 2 -> 2 1 1 0 1 1 0 0 2 1 , 29.69/7.95 5 5 1 3 5 -> 1 1 4 1 1 4 2 0 2 2 , 29.69/7.95 0 3 5 0 5 1 -> 5 1 2 5 2 2 3 2 4 0 , 29.69/7.95 3 5 2 5 3 1 -> 3 0 1 1 4 1 4 0 1 1 , 29.69/7.95 5 4 0 3 4 3 -> 5 3 1 4 3 2 2 1 4 3 , 29.69/7.95 1 2 0 3 2 3 3 -> 1 2 4 3 3 5 4 1 1 3 , 29.69/7.95 3 3 0 0 4 0 2 -> 4 1 1 5 0 1 2 5 5 1 , 29.69/7.95 4 0 0 4 5 4 0 -> 4 3 1 2 1 3 4 0 3 1 , 29.69/7.95 4 0 4 0 5 4 5 -> 1 5 1 5 5 1 5 5 1 1 , 29.69/7.95 4 3 0 5 2 2 4 -> 1 2 4 1 2 0 0 4 1 4 , 29.69/7.95 5 2 0 3 0 2 4 -> 0 2 3 5 5 1 2 0 1 4 , 29.69/7.95 5 4 3 3 0 5 3 -> 5 1 1 3 5 4 3 5 1 3 } 29.69/7.95 29.69/7.95 29.69/7.95 The system was filtered by the following matrix interpretation 29.69/7.95 of type E_J with J = {1,...,2} and dimension 8: 29.69/7.95 29.69/7.95 0 is interpreted by 29.69/7.95 / \ 29.69/7.95 | 1 0 0 0 0 0 0 0 | 29.69/7.95 | 0 1 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 1 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 1 | 29.69/7.95 \ / 29.69/7.95 3 is interpreted by 29.69/7.95 / \ 29.69/7.95 | 1 0 0 0 0 0 0 0 | 29.69/7.95 | 0 1 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 1 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 1 0 0 0 0 0 0 | 29.69/7.95 \ / 29.69/7.95 4 is interpreted by 29.69/7.95 / \ 29.69/7.95 | 1 0 1 0 0 0 0 0 | 29.69/7.95 | 0 1 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 1 0 0 0 0 0 0 | 29.69/7.95 \ / 29.69/7.95 1 is interpreted by 29.69/7.95 / \ 29.69/7.95 | 1 0 0 0 0 0 0 0 | 29.69/7.95 | 0 1 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 | 29.69/7.95 \ / 29.69/7.95 2 is interpreted by 29.69/7.95 / \ 29.69/7.95 | 1 0 0 0 0 0 0 0 | 29.69/7.95 | 0 1 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 1 0 | 29.69/7.95 | 0 0 0 0 0 0 0 1 | 29.69/7.95 | 0 0 0 0 0 0 0 0 | 29.69/7.95 \ / 29.69/7.95 5 is interpreted by 29.69/7.95 / \ 29.69/7.95 | 1 0 0 0 0 0 0 0 | 29.69/7.95 | 0 1 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 1 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 | 29.69/7.95 \ / 29.69/7.95 29.69/7.95 Remains to prove termination of the 12-rule system 29.69/7.95 { 0 3 4 -> 3 1 2 1 2 1 1 3 5 4 , 29.69/7.95 4 3 0 0 2 -> 2 1 1 0 1 1 0 0 2 1 , 29.69/7.95 5 5 1 3 5 -> 1 1 4 1 1 4 2 0 2 2 , 29.69/7.95 0 3 5 0 5 1 -> 5 1 2 5 2 2 3 2 4 0 , 29.69/7.95 3 5 2 5 3 1 -> 3 0 1 1 4 1 4 0 1 1 , 29.69/7.95 5 4 0 3 4 3 -> 5 3 1 4 3 2 2 1 4 3 , 29.69/7.95 1 2 0 3 2 3 3 -> 1 2 4 3 3 5 4 1 1 3 , 29.69/7.95 3 3 0 0 4 0 2 -> 4 1 1 5 0 1 2 5 5 1 , 29.69/7.95 4 0 0 4 5 4 0 -> 4 3 1 2 1 3 4 0 3 1 , 29.69/7.95 4 0 4 0 5 4 5 -> 1 5 1 5 5 1 5 5 1 1 , 29.69/7.95 5 2 0 3 0 2 4 -> 0 2 3 5 5 1 2 0 1 4 , 29.69/7.95 5 4 3 3 0 5 3 -> 5 1 1 3 5 4 3 5 1 3 } 29.69/7.95 29.69/7.95 29.69/7.95 The system was filtered by the following matrix interpretation 29.69/7.95 of type E_J with J = {1,...,2} and dimension 6: 29.69/7.95 29.69/7.95 0 is interpreted by 29.69/7.95 / \ 29.69/7.95 | 1 0 0 0 0 0 | 29.69/7.95 | 0 1 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 1 0 | 29.69/7.95 | 0 0 0 0 0 1 | 29.69/7.95 | 0 0 0 0 0 0 | 29.69/7.95 \ / 29.69/7.95 3 is interpreted by 29.69/7.95 / \ 29.69/7.95 | 1 0 0 0 0 0 | 29.69/7.95 | 0 1 0 0 0 0 | 29.69/7.95 | 0 0 0 1 0 0 | 29.69/7.95 | 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 | 29.69/7.95 \ / 29.69/7.95 4 is interpreted by 29.69/7.95 / \ 29.69/7.95 | 1 0 1 0 0 0 | 29.69/7.95 | 0 1 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 | 29.69/7.95 | 0 0 1 0 0 0 | 29.69/7.95 \ / 29.69/7.95 1 is interpreted by 29.69/7.95 / \ 29.69/7.95 | 1 0 0 0 0 0 | 29.69/7.95 | 0 1 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 | 29.69/7.95 \ / 29.69/7.95 2 is interpreted by 29.69/7.95 / \ 29.69/7.95 | 1 0 0 0 0 0 | 29.69/7.95 | 0 1 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 | 29.69/7.95 | 0 1 0 0 0 0 | 29.69/7.95 \ / 29.69/7.95 5 is interpreted by 29.69/7.95 / \ 29.69/7.95 | 1 0 0 0 0 0 | 29.69/7.95 | 0 1 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 1 | 29.69/7.95 | 0 0 0 0 0 0 | 29.69/7.95 \ / 29.69/7.95 29.69/7.95 Remains to prove termination of the 11-rule system 29.69/7.95 { 0 3 4 -> 3 1 2 1 2 1 1 3 5 4 , 29.69/7.95 5 5 1 3 5 -> 1 1 4 1 1 4 2 0 2 2 , 29.69/7.95 0 3 5 0 5 1 -> 5 1 2 5 2 2 3 2 4 0 , 29.69/7.95 3 5 2 5 3 1 -> 3 0 1 1 4 1 4 0 1 1 , 29.69/7.95 5 4 0 3 4 3 -> 5 3 1 4 3 2 2 1 4 3 , 29.69/7.95 1 2 0 3 2 3 3 -> 1 2 4 3 3 5 4 1 1 3 , 29.69/7.95 3 3 0 0 4 0 2 -> 4 1 1 5 0 1 2 5 5 1 , 29.69/7.95 4 0 0 4 5 4 0 -> 4 3 1 2 1 3 4 0 3 1 , 29.69/7.95 4 0 4 0 5 4 5 -> 1 5 1 5 5 1 5 5 1 1 , 29.69/7.95 5 2 0 3 0 2 4 -> 0 2 3 5 5 1 2 0 1 4 , 29.69/7.95 5 4 3 3 0 5 3 -> 5 1 1 3 5 4 3 5 1 3 } 29.69/7.95 29.69/7.95 29.69/7.95 The system was filtered by the following matrix interpretation 29.69/7.95 of type E_J with J = {1,...,2} and dimension 8: 29.69/7.95 29.69/7.95 0 is interpreted by 29.69/7.95 / \ 29.69/7.95 | 1 0 0 0 0 0 0 0 | 29.69/7.95 | 0 1 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 1 0 0 0 | 29.69/7.95 | 0 0 0 0 0 1 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 1 | 29.69/7.95 | 0 0 0 0 0 0 0 0 | 29.69/7.95 \ / 29.69/7.95 3 is interpreted by 29.69/7.95 / \ 29.69/7.95 | 1 0 1 0 0 0 0 0 | 29.69/7.95 | 0 1 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 1 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 | 29.69/7.95 \ / 29.69/7.95 4 is interpreted by 29.69/7.95 / \ 29.69/7.95 | 1 0 0 0 0 0 0 0 | 29.69/7.95 | 0 1 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 1 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 | 29.69/7.95 \ / 29.69/7.95 1 is interpreted by 29.69/7.95 / \ 29.69/7.95 | 1 0 0 0 0 0 0 0 | 29.69/7.95 | 0 1 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 | 29.69/7.95 \ / 29.69/7.95 2 is interpreted by 29.69/7.95 / \ 29.69/7.95 | 1 0 0 0 0 0 0 0 | 29.69/7.95 | 0 1 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 1 0 0 0 0 0 0 | 29.69/7.95 \ / 29.69/7.95 5 is interpreted by 29.69/7.95 / \ 29.69/7.95 | 1 0 0 0 0 0 0 0 | 29.69/7.95 | 0 1 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 1 | 29.69/7.95 | 0 0 0 0 0 0 0 0 | 29.69/7.95 \ / 29.69/7.95 29.69/7.95 Remains to prove termination of the 10-rule system 29.69/7.95 { 0 3 4 -> 3 1 2 1 2 1 1 3 5 4 , 29.69/7.95 5 5 1 3 5 -> 1 1 4 1 1 4 2 0 2 2 , 29.69/7.95 0 3 5 0 5 1 -> 5 1 2 5 2 2 3 2 4 0 , 29.69/7.95 3 5 2 5 3 1 -> 3 0 1 1 4 1 4 0 1 1 , 29.69/7.95 5 4 0 3 4 3 -> 5 3 1 4 3 2 2 1 4 3 , 29.69/7.95 1 2 0 3 2 3 3 -> 1 2 4 3 3 5 4 1 1 3 , 29.69/7.95 4 0 0 4 5 4 0 -> 4 3 1 2 1 3 4 0 3 1 , 29.69/7.95 4 0 4 0 5 4 5 -> 1 5 1 5 5 1 5 5 1 1 , 29.69/7.95 5 2 0 3 0 2 4 -> 0 2 3 5 5 1 2 0 1 4 , 29.69/7.95 5 4 3 3 0 5 3 -> 5 1 1 3 5 4 3 5 1 3 } 29.69/7.95 29.69/7.95 29.69/7.95 The system was filtered by the following matrix interpretation 29.69/7.95 of type E_J with J = {1,...,2} and dimension 8: 29.69/7.95 29.69/7.95 0 is interpreted by 29.69/7.95 / \ 29.69/7.95 | 1 0 0 0 0 0 0 0 | 29.69/7.95 | 0 1 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 1 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 1 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 | 29.69/7.95 \ / 29.69/7.95 3 is interpreted by 29.69/7.95 / \ 29.69/7.95 | 1 0 0 0 0 0 0 0 | 29.69/7.95 | 0 1 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 1 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 | 29.69/7.95 \ / 29.69/7.95 4 is interpreted by 29.69/7.95 / \ 29.69/7.95 | 1 0 0 0 0 0 0 0 | 29.69/7.95 | 0 1 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 1 0 0 0 0 0 0 | 29.69/7.95 \ / 29.69/7.95 1 is interpreted by 29.69/7.95 / \ 29.69/7.95 | 1 0 0 0 0 0 0 0 | 29.69/7.95 | 0 1 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 | 29.69/7.95 \ / 29.69/7.95 2 is interpreted by 29.69/7.95 / \ 29.69/7.95 | 1 0 0 0 0 0 0 0 | 29.69/7.95 | 0 1 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 1 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 1 | 29.69/7.95 | 0 0 0 0 0 0 0 0 | 29.69/7.95 \ / 29.69/7.95 5 is interpreted by 29.69/7.95 / \ 29.69/7.95 | 1 0 1 0 0 0 0 0 | 29.69/7.95 | 0 1 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 | 29.69/7.95 \ / 29.69/7.95 29.69/7.95 Remains to prove termination of the 9-rule system 29.69/7.95 { 0 3 4 -> 3 1 2 1 2 1 1 3 5 4 , 29.69/7.95 5 5 1 3 5 -> 1 1 4 1 1 4 2 0 2 2 , 29.69/7.95 0 3 5 0 5 1 -> 5 1 2 5 2 2 3 2 4 0 , 29.69/7.95 3 5 2 5 3 1 -> 3 0 1 1 4 1 4 0 1 1 , 29.69/7.95 5 4 0 3 4 3 -> 5 3 1 4 3 2 2 1 4 3 , 29.69/7.95 1 2 0 3 2 3 3 -> 1 2 4 3 3 5 4 1 1 3 , 29.69/7.95 4 0 0 4 5 4 0 -> 4 3 1 2 1 3 4 0 3 1 , 29.69/7.95 4 0 4 0 5 4 5 -> 1 5 1 5 5 1 5 5 1 1 , 29.69/7.95 5 4 3 3 0 5 3 -> 5 1 1 3 5 4 3 5 1 3 } 29.69/7.95 29.69/7.95 29.69/7.95 The system was filtered by the following matrix interpretation 29.69/7.95 of type E_J with J = {1,...,2} and dimension 6: 29.69/7.95 29.69/7.95 0 is interpreted by 29.69/7.95 / \ 29.69/7.95 | 1 0 0 0 0 0 | 29.69/7.95 | 0 1 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 | 29.69/7.95 | 0 1 0 0 0 0 | 29.69/7.95 \ / 29.69/7.95 3 is interpreted by 29.69/7.95 / \ 29.69/7.95 | 1 0 0 0 0 0 | 29.69/7.95 | 0 1 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 1 | 29.69/7.95 | 0 0 0 0 0 0 | 29.69/7.95 \ / 29.69/7.95 4 is interpreted by 29.69/7.95 / \ 29.69/7.95 | 1 0 0 0 0 0 | 29.69/7.95 | 0 1 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 | 29.69/7.95 \ / 29.69/7.95 1 is interpreted by 29.69/7.95 / \ 29.69/7.95 | 1 0 0 0 0 0 | 29.69/7.95 | 0 1 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 1 0 | 29.69/7.95 | 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 | 29.69/7.95 \ / 29.69/7.95 2 is interpreted by 29.69/7.95 / \ 29.69/7.95 | 1 0 0 0 0 0 | 29.69/7.95 | 0 1 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 | 29.69/7.95 \ / 29.69/7.95 5 is interpreted by 29.69/7.95 / \ 29.69/7.95 | 1 0 1 0 0 0 | 29.69/7.95 | 0 1 0 0 0 0 | 29.69/7.95 | 0 0 0 1 0 0 | 29.69/7.95 | 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 | 29.69/7.95 | 0 1 0 0 0 0 | 29.69/7.95 \ / 29.69/7.95 29.69/7.95 Remains to prove termination of the 8-rule system 29.69/7.95 { 0 3 4 -> 3 1 2 1 2 1 1 3 5 4 , 29.69/7.95 0 3 5 0 5 1 -> 5 1 2 5 2 2 3 2 4 0 , 29.69/7.95 3 5 2 5 3 1 -> 3 0 1 1 4 1 4 0 1 1 , 29.69/7.95 5 4 0 3 4 3 -> 5 3 1 4 3 2 2 1 4 3 , 29.69/7.95 1 2 0 3 2 3 3 -> 1 2 4 3 3 5 4 1 1 3 , 29.69/7.95 4 0 0 4 5 4 0 -> 4 3 1 2 1 3 4 0 3 1 , 29.69/7.95 4 0 4 0 5 4 5 -> 1 5 1 5 5 1 5 5 1 1 , 29.69/7.95 5 4 3 3 0 5 3 -> 5 1 1 3 5 4 3 5 1 3 } 29.69/7.95 29.69/7.95 29.69/7.95 The system was filtered by the following matrix interpretation 29.69/7.95 of type E_J with J = {1,...,2} and dimension 9: 29.69/7.95 29.69/7.95 0 is interpreted by 29.69/7.95 / \ 29.69/7.95 | 1 0 1 0 1 0 0 0 0 | 29.69/7.95 | 0 1 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 1 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 0 | 29.69/7.95 \ / 29.69/7.95 3 is interpreted by 29.69/7.95 / \ 29.69/7.95 | 1 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 1 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 1 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 1 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 0 | 29.69/7.95 \ / 29.69/7.95 4 is interpreted by 29.69/7.95 / \ 29.69/7.95 | 1 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 1 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 1 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 0 | 29.69/7.95 \ / 29.69/7.95 1 is interpreted by 29.69/7.95 / \ 29.69/7.95 | 1 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 1 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 1 0 1 0 0 0 0 | 29.69/7.95 \ / 29.69/7.95 2 is interpreted by 29.69/7.95 / \ 29.69/7.95 | 1 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 1 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 0 | 29.69/7.95 \ / 29.69/7.95 5 is interpreted by 29.69/7.95 / \ 29.69/7.95 | 1 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 1 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 1 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 0 | 29.69/7.95 | 0 0 0 0 0 0 0 0 1 | 29.69/7.95 | 0 0 0 0 0 0 0 0 0 | 29.69/7.95 \ / 29.69/7.95 29.69/7.95 Remains to prove termination of the 6-rule system 29.69/7.95 { 0 3 5 0 5 1 -> 5 1 2 5 2 2 3 2 4 0 , 29.69/7.95 3 5 2 5 3 1 -> 3 0 1 1 4 1 4 0 1 1 , 29.69/7.95 1 2 0 3 2 3 3 -> 1 2 4 3 3 5 4 1 1 3 , 29.69/7.95 4 0 0 4 5 4 0 -> 4 3 1 2 1 3 4 0 3 1 , 29.69/7.95 4 0 4 0 5 4 5 -> 1 5 1 5 5 1 5 5 1 1 , 29.69/7.95 5 4 3 3 0 5 3 -> 5 1 1 3 5 4 3 5 1 3 } 29.69/7.95 29.69/7.95 29.69/7.95 The system was filtered by the following matrix interpretation 29.69/7.95 of type E_J with J = {1,...,2} and dimension 2: 29.69/7.95 29.69/7.95 0 is interpreted by 29.69/7.95 / \ 29.69/7.95 | 1 3 | 29.69/7.95 | 0 1 | 29.69/7.95 \ / 29.69/7.95 3 is interpreted by 29.69/7.95 / \ 29.69/7.95 | 1 2 | 29.69/7.95 | 0 1 | 29.69/7.95 \ / 29.69/7.95 4 is interpreted by 29.69/7.95 / \ 29.69/7.95 | 1 0 | 29.69/7.95 | 0 1 | 29.69/7.95 \ / 29.69/7.95 1 is interpreted by 29.69/7.95 / \ 29.69/7.95 | 1 0 | 29.69/7.95 | 0 1 | 29.69/7.95 \ / 29.69/7.95 2 is interpreted by 29.69/7.95 / \ 29.69/7.95 | 1 0 | 29.69/7.95 | 0 1 | 29.69/7.95 \ / 29.69/7.95 5 is interpreted by 29.69/7.95 / \ 29.69/7.95 | 1 2 | 29.69/7.95 | 0 1 | 29.69/7.95 \ / 29.69/7.95 29.69/7.95 Remains to prove termination of the 2-rule system 29.69/7.95 { 3 5 2 5 3 1 -> 3 0 1 1 4 1 4 0 1 1 , 29.69/7.95 4 0 4 0 5 4 5 -> 1 5 1 5 5 1 5 5 1 1 } 29.69/7.95 29.69/7.95 29.69/7.95 The system was filtered by the following matrix interpretation 29.69/7.95 of type E_J with J = {1,...,2} and dimension 2: 29.69/7.95 29.69/7.95 0 is interpreted by 29.69/7.95 / \ 29.69/7.95 | 1 0 | 29.69/7.95 | 0 1 | 29.69/7.95 \ / 29.69/7.95 3 is interpreted by 29.69/7.95 / \ 29.69/7.95 | 1 1 | 29.69/7.95 | 0 1 | 29.69/7.95 \ / 29.69/7.95 4 is interpreted by 29.69/7.95 / \ 29.69/7.95 | 1 0 | 29.69/7.95 | 0 1 | 29.69/7.95 \ / 29.69/7.95 1 is interpreted by 29.69/7.95 / \ 29.69/7.95 | 1 0 | 29.69/7.95 | 0 1 | 29.69/7.95 \ / 29.69/7.95 2 is interpreted by 29.69/7.95 / \ 29.69/7.95 | 1 0 | 29.69/7.95 | 0 1 | 29.69/7.95 \ / 29.69/7.95 5 is interpreted by 29.69/7.95 / \ 29.69/7.95 | 1 0 | 29.69/7.95 | 0 1 | 29.69/7.95 \ / 29.69/7.95 29.69/7.95 Remains to prove termination of the 1-rule system 29.69/7.95 { 4 0 4 0 5 4 5 -> 1 5 1 5 5 1 5 5 1 1 } 29.69/7.95 29.69/7.95 29.69/7.95 The system was filtered by the following matrix interpretation 29.69/7.95 of type E_J with J = {1,...,2} and dimension 2: 29.69/7.95 29.69/7.95 0 is interpreted by 29.69/7.95 / \ 29.69/7.95 | 1 1 | 29.69/7.95 | 0 1 | 29.69/7.95 \ / 29.69/7.95 3 is interpreted by 29.69/7.95 / \ 29.69/7.95 | 1 0 | 29.69/7.95 | 0 1 | 29.69/7.95 \ / 29.69/7.95 4 is interpreted by 29.69/7.95 / \ 29.69/7.95 | 1 0 | 29.69/7.95 | 0 1 | 29.69/7.95 \ / 29.69/7.95 1 is interpreted by 29.69/7.95 / \ 29.69/7.95 | 1 0 | 29.69/7.95 | 0 1 | 29.69/7.95 \ / 29.69/7.95 2 is interpreted by 29.69/7.95 / \ 29.69/7.95 | 1 0 | 29.69/7.95 | 0 1 | 29.69/7.95 \ / 29.69/7.95 5 is interpreted by 29.69/7.95 / \ 29.69/7.95 | 1 0 | 29.69/7.95 | 0 1 | 29.69/7.95 \ / 29.69/7.95 29.69/7.95 Remains to prove termination of the 0-rule system 29.69/7.95 { } 29.69/7.95 29.69/7.95 29.69/7.95 The system is trivially terminating. 29.69/7.98 EOF