13.21/3.61 YES 13.56/3.74 13.56/3.74 13.56/3.74 The system was filtered by the following matrix interpretation 13.56/3.74 of type E_J with J = {1,...,2} and dimension 9: 13.56/3.74 13.56/3.74 0 is interpreted by 13.56/3.74 / \ 13.56/3.74 | 1 0 0 0 0 0 0 0 0 | 13.56/3.74 | 0 1 0 0 0 0 0 0 0 | 13.56/3.74 | 0 0 0 0 0 0 0 0 0 | 13.56/3.74 | 0 0 0 0 0 0 0 0 0 | 13.56/3.74 | 0 0 0 0 0 1 0 0 0 | 13.56/3.74 | 0 0 0 0 0 0 1 0 0 | 13.56/3.74 | 0 0 0 0 0 0 0 0 0 | 13.56/3.74 | 0 0 0 0 0 0 0 0 0 | 13.56/3.74 | 0 0 0 0 0 0 1 0 0 | 13.56/3.74 \ / 13.56/3.74 1 is interpreted by 13.56/3.74 / \ 13.56/3.74 | 1 0 0 0 0 0 0 0 0 | 13.56/3.74 | 0 1 0 0 0 0 0 0 0 | 13.56/3.74 | 0 0 0 0 0 0 0 0 0 | 13.56/3.74 | 0 0 0 0 1 0 0 0 0 | 13.56/3.74 | 0 0 0 0 0 0 0 0 0 | 13.56/3.74 | 0 0 0 0 0 0 0 0 0 | 13.56/3.74 | 0 0 0 0 0 0 0 0 0 | 13.56/3.74 | 0 0 0 0 0 0 0 0 0 | 13.56/3.74 | 0 0 0 0 0 0 0 0 0 | 13.56/3.74 \ / 13.56/3.74 2 is interpreted by 13.56/3.74 / \ 13.56/3.74 | 1 0 1 0 0 0 0 0 0 | 13.56/3.74 | 0 1 0 0 0 0 0 0 0 | 13.56/3.74 | 0 0 0 0 0 0 0 0 0 | 13.56/3.74 | 0 0 0 0 0 0 0 0 0 | 13.56/3.74 | 0 0 0 0 0 0 0 0 0 | 13.56/3.74 | 0 0 0 0 0 0 0 0 0 | 13.56/3.74 | 0 0 0 0 0 0 0 1 0 | 13.56/3.74 | 0 0 0 0 0 0 0 0 0 | 13.56/3.74 | 0 0 0 0 0 0 0 0 0 | 13.56/3.74 \ / 13.56/3.74 3 is interpreted by 13.56/3.74 / \ 13.56/3.74 | 1 0 0 0 0 0 0 0 0 | 13.56/3.74 | 0 1 0 0 0 0 0 0 0 | 13.56/3.74 | 0 0 1 0 0 0 0 0 0 | 13.56/3.74 | 0 0 0 0 0 0 0 0 0 | 13.56/3.74 | 0 0 0 0 0 0 0 0 0 | 13.56/3.74 | 0 0 0 0 0 0 0 0 0 | 13.56/3.74 | 0 0 0 0 0 0 0 0 0 | 13.56/3.74 | 0 0 0 0 0 0 0 0 0 | 13.56/3.74 | 0 0 0 0 0 0 0 0 0 | 13.56/3.74 \ / 13.56/3.74 4 is interpreted by 13.56/3.74 / \ 13.56/3.74 | 1 0 0 0 0 0 0 0 0 | 13.56/3.74 | 0 1 0 0 0 0 0 0 0 | 13.56/3.74 | 0 0 0 0 0 0 0 0 0 | 13.56/3.74 | 0 0 0 0 0 0 0 0 0 | 13.56/3.74 | 0 0 0 0 0 0 0 0 0 | 13.56/3.74 | 0 1 1 0 0 0 0 0 0 | 13.56/3.74 | 0 0 0 0 0 0 0 0 0 | 13.56/3.74 | 0 0 0 0 0 0 0 0 0 | 13.56/3.74 | 0 1 0 0 0 0 0 0 0 | 13.56/3.74 \ / 13.56/3.74 5 is interpreted by 13.56/3.74 / \ 13.56/3.74 | 1 0 0 0 0 0 0 0 0 | 13.56/3.74 | 0 1 0 0 0 0 0 0 0 | 13.56/3.74 | 0 0 0 1 1 0 0 0 0 | 13.56/3.74 | 0 0 0 0 0 0 0 0 0 | 13.56/3.74 | 0 0 0 0 0 0 0 0 0 | 13.56/3.74 | 0 0 0 0 0 0 0 0 0 | 13.56/3.74 | 0 0 0 0 0 0 0 0 0 | 13.56/3.74 | 0 0 0 0 0 0 0 0 1 | 13.56/3.74 | 0 0 0 0 0 0 0 0 0 | 13.56/3.74 \ / 13.56/3.74 13.56/3.74 Remains to prove termination of the 47-rule system 13.56/3.74 { 0 0 -> 0 1 2 0 1 1 , 13.56/3.74 0 0 -> 1 0 1 0 1 1 , 13.56/3.74 3 0 -> 1 0 1 1 1 3 , 13.56/3.74 0 0 0 -> 0 0 1 1 0 , 13.56/3.74 0 0 3 -> 0 3 1 0 1 1 , 13.56/3.74 2 3 0 -> 2 1 0 1 1 3 , 13.56/3.74 3 0 0 -> 3 0 1 0 1 1 , 13.56/3.74 3 0 4 -> 3 1 0 1 1 4 , 13.56/3.74 5 0 3 -> 3 0 1 1 5 , 13.56/3.74 5 0 3 -> 3 5 0 1 1 , 13.56/3.74 0 0 0 4 -> 2 0 2 0 0 4 , 13.56/3.74 0 0 1 3 -> 0 3 1 0 1 1 , 13.56/3.74 0 0 2 4 -> 0 2 2 0 4 , 13.56/3.74 0 2 1 3 -> 0 1 2 3 4 , 13.56/3.74 0 2 1 3 -> 2 0 1 3 4 , 13.56/3.74 0 2 1 4 -> 2 0 1 1 4 , 13.56/3.74 0 2 3 0 -> 2 3 4 0 0 , 13.56/3.74 0 2 3 0 -> 2 0 1 2 3 0 , 13.56/3.74 0 2 5 4 -> 2 2 4 5 0 , 13.56/3.74 0 2 5 4 -> 4 5 1 2 0 , 13.56/3.74 0 4 1 0 -> 0 0 1 1 4 , 13.56/3.74 0 5 5 4 -> 2 4 5 5 1 0 , 13.56/3.74 2 3 0 0 -> 0 1 1 2 3 0 , 13.56/3.74 2 3 0 0 -> 0 1 2 1 3 0 , 13.56/3.74 3 0 0 3 -> 3 0 3 0 1 1 , 13.56/3.74 3 0 2 0 -> 0 3 0 1 2 1 , 13.56/3.74 3 0 4 0 -> 3 0 0 1 1 4 , 13.56/3.74 3 0 5 0 -> 5 0 3 0 1 1 , 13.56/3.74 3 1 0 0 -> 1 1 1 3 0 0 , 13.56/3.74 3 1 0 4 -> 1 1 1 3 4 0 , 13.56/3.74 3 2 1 4 -> 1 1 2 2 4 3 , 13.56/3.74 3 2 1 4 -> 1 2 1 3 1 4 , 13.56/3.74 4 1 0 0 -> 0 0 1 1 4 1 , 13.56/3.74 4 1 0 4 -> 4 0 1 1 4 , 13.56/3.74 5 1 0 3 -> 5 3 0 1 1 1 , 13.56/3.74 5 5 0 4 -> 5 5 1 0 4 , 13.56/3.74 5 5 0 4 -> 0 1 1 5 5 4 , 13.56/3.74 5 5 4 3 -> 3 4 5 5 1 , 13.56/3.74 0 1 4 3 3 -> 0 1 1 4 3 3 , 13.56/3.74 0 2 1 5 3 -> 0 5 2 1 1 3 , 13.56/3.74 0 2 5 2 3 -> 0 3 5 2 1 2 , 13.56/3.74 0 2 5 3 0 -> 0 1 2 5 3 0 , 13.56/3.74 3 5 1 0 4 -> 3 5 0 1 1 4 , 13.56/3.74 4 0 1 0 3 -> 4 0 3 0 1 1 , 13.56/3.74 4 1 4 4 0 -> 4 0 4 1 1 4 , 13.56/3.74 4 2 3 5 4 -> 2 2 4 4 5 3 , 13.56/3.74 4 4 5 0 0 -> 4 4 0 1 5 0 } 13.56/3.74 13.56/3.74 13.56/3.74 The system was filtered by the following matrix interpretation 13.56/3.74 of type E_J with J = {1,...,2} and dimension 8: 13.56/3.74 13.56/3.74 0 is interpreted by 13.56/3.74 / \ 13.56/3.74 | 1 0 1 0 0 0 0 0 | 13.56/3.74 | 0 1 0 0 0 0 0 0 | 13.56/3.74 | 0 0 0 0 0 0 0 0 | 13.56/3.74 | 0 0 0 0 0 0 0 0 | 13.56/3.74 | 0 0 0 0 0 1 0 0 | 13.56/3.74 | 0 0 0 0 0 0 0 0 | 13.56/3.74 | 0 0 0 0 0 0 0 0 | 13.56/3.74 | 0 0 0 0 0 1 0 0 | 13.56/3.74 \ / 13.56/3.74 1 is interpreted by 13.56/3.74 / \ 13.56/3.74 | 1 0 0 0 0 0 0 0 | 13.56/3.74 | 0 1 0 0 0 0 0 0 | 13.56/3.74 | 0 0 0 0 0 0 0 0 | 13.56/3.74 | 0 0 0 0 0 0 0 0 | 13.56/3.74 | 0 0 0 0 0 0 0 0 | 13.56/3.74 | 0 0 0 0 0 0 0 0 | 13.56/3.74 | 0 0 0 0 0 0 0 0 | 13.56/3.74 | 0 0 0 0 0 0 0 0 | 13.56/3.74 \ / 13.56/3.74 2 is interpreted by 13.56/3.74 / \ 13.56/3.74 | 1 0 0 0 0 0 0 0 | 13.56/3.74 | 0 1 0 0 0 0 0 0 | 13.56/3.74 | 0 0 0 0 0 0 0 0 | 13.56/3.74 | 0 0 0 0 0 0 0 0 | 13.56/3.74 | 0 0 0 0 0 0 0 0 | 13.56/3.74 | 0 0 0 0 0 0 1 0 | 13.56/3.74 | 0 0 0 0 0 0 0 0 | 13.56/3.74 | 0 0 0 0 0 0 0 0 | 13.56/3.74 \ / 13.56/3.74 3 is interpreted by 13.56/3.74 / \ 13.56/3.74 | 1 0 1 0 0 0 0 0 | 13.56/3.74 | 0 1 0 0 0 0 0 0 | 13.56/3.74 | 0 0 0 0 0 0 0 0 | 13.56/3.74 | 0 0 0 0 0 0 0 0 | 13.56/3.74 | 0 0 0 0 0 0 0 0 | 13.56/3.74 | 0 0 0 0 0 0 0 0 | 13.56/3.74 | 0 0 0 0 0 0 0 0 | 13.56/3.74 | 0 0 0 0 0 0 0 0 | 13.56/3.74 \ / 13.56/3.74 4 is interpreted by 13.56/3.74 / \ 13.56/3.74 | 1 0 1 0 0 0 0 0 | 13.56/3.74 | 0 1 0 0 0 0 0 0 | 13.56/3.74 | 0 0 0 0 0 0 0 0 | 13.56/3.74 | 0 0 0 0 0 0 0 0 | 13.56/3.74 | 0 1 0 0 0 0 0 0 | 13.56/3.74 | 0 0 0 0 0 0 0 0 | 13.56/3.74 | 0 0 0 0 0 0 0 0 | 13.56/3.74 | 0 1 0 0 0 0 0 0 | 13.56/3.74 \ / 13.56/3.74 5 is interpreted by 13.56/3.74 / \ 13.56/3.74 | 1 0 0 0 0 0 0 0 | 13.56/3.74 | 0 1 0 0 0 0 0 0 | 13.56/3.74 | 0 0 0 1 0 0 0 0 | 13.56/3.74 | 0 0 0 0 1 0 0 0 | 13.56/3.74 | 0 0 0 0 0 0 0 0 | 13.56/3.74 | 0 0 0 0 0 0 0 0 | 13.56/3.74 | 0 0 0 0 0 0 0 1 | 13.56/3.74 | 0 0 0 0 0 0 0 0 | 13.56/3.74 \ / 13.56/3.74 13.56/3.74 Remains to prove termination of the 46-rule system 13.56/3.74 { 0 0 -> 0 1 2 0 1 1 , 13.56/3.74 0 0 -> 1 0 1 0 1 1 , 13.56/3.74 3 0 -> 1 0 1 1 1 3 , 13.56/3.74 0 0 0 -> 0 0 1 1 0 , 13.56/3.74 0 0 3 -> 0 3 1 0 1 1 , 13.56/3.74 2 3 0 -> 2 1 0 1 1 3 , 13.56/3.74 3 0 0 -> 3 0 1 0 1 1 , 13.56/3.74 3 0 4 -> 3 1 0 1 1 4 , 13.56/3.74 5 0 3 -> 3 0 1 1 5 , 13.56/3.74 5 0 3 -> 3 5 0 1 1 , 13.56/3.74 0 0 0 4 -> 2 0 2 0 0 4 , 13.56/3.74 0 0 1 3 -> 0 3 1 0 1 1 , 13.56/3.74 0 0 2 4 -> 0 2 2 0 4 , 13.56/3.74 0 2 1 3 -> 0 1 2 3 4 , 13.56/3.74 0 2 1 3 -> 2 0 1 3 4 , 13.56/3.74 0 2 1 4 -> 2 0 1 1 4 , 13.56/3.74 0 2 3 0 -> 2 3 4 0 0 , 13.56/3.74 0 2 3 0 -> 2 0 1 2 3 0 , 13.56/3.74 0 2 5 4 -> 2 2 4 5 0 , 13.56/3.74 0 2 5 4 -> 4 5 1 2 0 , 13.56/3.74 0 4 1 0 -> 0 0 1 1 4 , 13.56/3.74 2 3 0 0 -> 0 1 1 2 3 0 , 13.56/3.74 2 3 0 0 -> 0 1 2 1 3 0 , 13.56/3.74 3 0 0 3 -> 3 0 3 0 1 1 , 13.56/3.74 3 0 2 0 -> 0 3 0 1 2 1 , 13.56/3.74 3 0 4 0 -> 3 0 0 1 1 4 , 13.56/3.74 3 0 5 0 -> 5 0 3 0 1 1 , 13.56/3.74 3 1 0 0 -> 1 1 1 3 0 0 , 13.56/3.74 3 1 0 4 -> 1 1 1 3 4 0 , 13.56/3.74 3 2 1 4 -> 1 1 2 2 4 3 , 13.56/3.74 3 2 1 4 -> 1 2 1 3 1 4 , 13.56/3.74 4 1 0 0 -> 0 0 1 1 4 1 , 13.56/3.74 4 1 0 4 -> 4 0 1 1 4 , 13.56/3.74 5 1 0 3 -> 5 3 0 1 1 1 , 13.56/3.74 5 5 0 4 -> 5 5 1 0 4 , 13.56/3.74 5 5 0 4 -> 0 1 1 5 5 4 , 13.56/3.74 5 5 4 3 -> 3 4 5 5 1 , 13.56/3.74 0 1 4 3 3 -> 0 1 1 4 3 3 , 13.56/3.74 0 2 1 5 3 -> 0 5 2 1 1 3 , 13.56/3.74 0 2 5 2 3 -> 0 3 5 2 1 2 , 13.56/3.74 0 2 5 3 0 -> 0 1 2 5 3 0 , 13.56/3.74 3 5 1 0 4 -> 3 5 0 1 1 4 , 13.56/3.74 4 0 1 0 3 -> 4 0 3 0 1 1 , 13.56/3.74 4 1 4 4 0 -> 4 0 4 1 1 4 , 13.56/3.74 4 2 3 5 4 -> 2 2 4 4 5 3 , 13.56/3.74 4 4 5 0 0 -> 4 4 0 1 5 0 } 13.56/3.74 13.56/3.74 13.56/3.74 The system was filtered by the following matrix interpretation 13.56/3.74 of type E_J with J = {1,...,2} and dimension 5: 13.56/3.74 13.56/3.74 0 is interpreted by 13.56/3.74 / \ 13.56/3.74 | 1 0 1 0 0 | 13.56/3.74 | 0 1 0 0 0 | 13.56/3.74 | 0 0 0 0 0 | 13.56/3.74 | 0 0 0 0 0 | 13.56/3.74 | 0 0 1 0 0 | 13.56/3.74 \ / 13.56/3.74 1 is interpreted by 13.56/3.74 / \ 13.56/3.74 | 1 0 0 0 0 | 13.56/3.74 | 0 1 0 0 0 | 13.56/3.74 | 0 0 0 0 0 | 13.56/3.74 | 0 0 0 0 0 | 13.56/3.74 | 0 0 0 0 0 | 13.56/3.74 \ / 13.56/3.74 2 is interpreted by 13.56/3.74 / \ 13.56/3.74 | 1 0 0 0 0 | 13.56/3.74 | 0 1 0 0 0 | 13.56/3.74 | 0 0 1 1 0 | 13.56/3.74 | 0 0 0 0 0 | 13.56/3.74 | 0 0 0 0 0 | 13.56/3.74 \ / 13.56/3.74 3 is interpreted by 13.56/3.74 / \ 13.56/3.74 | 1 0 0 0 0 | 13.56/3.74 | 0 1 0 0 0 | 13.56/3.74 | 0 0 0 0 0 | 13.56/3.74 | 0 0 0 0 0 | 13.56/3.74 | 0 0 0 0 0 | 13.56/3.74 \ / 13.56/3.74 4 is interpreted by 13.56/3.74 / \ 13.56/3.74 | 1 0 0 0 0 | 13.56/3.74 | 0 1 0 0 0 | 13.56/3.74 | 0 0 1 0 0 | 13.56/3.74 | 0 0 0 0 0 | 13.56/3.74 | 0 1 1 0 0 | 13.56/3.74 \ / 13.56/3.74 5 is interpreted by 13.56/3.74 / \ 13.56/3.74 | 1 0 0 0 0 | 13.56/3.74 | 0 1 0 0 0 | 13.56/3.74 | 0 0 0 0 0 | 13.56/3.74 | 0 0 0 0 1 | 13.56/3.74 | 0 0 0 0 0 | 13.56/3.74 \ / 13.56/3.74 13.56/3.74 Remains to prove termination of the 44-rule system 13.56/3.74 { 0 0 -> 0 1 2 0 1 1 , 13.56/3.74 0 0 -> 1 0 1 0 1 1 , 13.56/3.74 3 0 -> 1 0 1 1 1 3 , 13.56/3.74 0 0 0 -> 0 0 1 1 0 , 13.56/3.74 0 0 3 -> 0 3 1 0 1 1 , 13.56/3.74 2 3 0 -> 2 1 0 1 1 3 , 13.56/3.74 3 0 0 -> 3 0 1 0 1 1 , 13.56/3.74 3 0 4 -> 3 1 0 1 1 4 , 13.56/3.74 5 0 3 -> 3 0 1 1 5 , 13.56/3.74 5 0 3 -> 3 5 0 1 1 , 13.56/3.74 0 0 0 4 -> 2 0 2 0 0 4 , 13.56/3.74 0 0 1 3 -> 0 3 1 0 1 1 , 13.56/3.74 0 0 2 4 -> 0 2 2 0 4 , 13.56/3.74 0 2 1 3 -> 0 1 2 3 4 , 13.56/3.74 0 2 1 3 -> 2 0 1 3 4 , 13.56/3.74 0 2 1 4 -> 2 0 1 1 4 , 13.56/3.74 0 2 3 0 -> 2 3 4 0 0 , 13.56/3.74 0 2 3 0 -> 2 0 1 2 3 0 , 13.56/3.74 0 4 1 0 -> 0 0 1 1 4 , 13.56/3.74 2 3 0 0 -> 0 1 1 2 3 0 , 13.56/3.74 2 3 0 0 -> 0 1 2 1 3 0 , 13.56/3.74 3 0 0 3 -> 3 0 3 0 1 1 , 13.56/3.74 3 0 2 0 -> 0 3 0 1 2 1 , 13.56/3.74 3 0 4 0 -> 3 0 0 1 1 4 , 13.56/3.74 3 0 5 0 -> 5 0 3 0 1 1 , 13.56/3.74 3 1 0 0 -> 1 1 1 3 0 0 , 13.56/3.74 3 1 0 4 -> 1 1 1 3 4 0 , 13.56/3.75 3 2 1 4 -> 1 1 2 2 4 3 , 13.56/3.75 3 2 1 4 -> 1 2 1 3 1 4 , 13.56/3.75 4 1 0 0 -> 0 0 1 1 4 1 , 13.56/3.75 4 1 0 4 -> 4 0 1 1 4 , 13.56/3.75 5 1 0 3 -> 5 3 0 1 1 1 , 13.56/3.75 5 5 0 4 -> 5 5 1 0 4 , 13.56/3.75 5 5 0 4 -> 0 1 1 5 5 4 , 13.56/3.75 5 5 4 3 -> 3 4 5 5 1 , 13.56/3.75 0 1 4 3 3 -> 0 1 1 4 3 3 , 13.56/3.75 0 2 1 5 3 -> 0 5 2 1 1 3 , 13.56/3.75 0 2 5 2 3 -> 0 3 5 2 1 2 , 13.56/3.75 0 2 5 3 0 -> 0 1 2 5 3 0 , 13.56/3.75 3 5 1 0 4 -> 3 5 0 1 1 4 , 13.56/3.75 4 0 1 0 3 -> 4 0 3 0 1 1 , 13.56/3.75 4 1 4 4 0 -> 4 0 4 1 1 4 , 13.56/3.75 4 2 3 5 4 -> 2 2 4 4 5 3 , 13.56/3.75 4 4 5 0 0 -> 4 4 0 1 5 0 } 13.56/3.75 13.56/3.75 13.56/3.75 The system was filtered by the following matrix interpretation 13.56/3.75 of type E_J with J = {1,...,2} and dimension 5: 13.56/3.75 13.56/3.75 0 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 1 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 1 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 1 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 2 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 | 0 0 1 1 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 3 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 4 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 | 0 0 1 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 \ / 13.56/3.75 5 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 13.56/3.75 Remains to prove termination of the 43-rule system 13.56/3.75 { 0 0 -> 0 1 2 0 1 1 , 13.56/3.75 0 0 -> 1 0 1 0 1 1 , 13.56/3.75 3 0 -> 1 0 1 1 1 3 , 13.56/3.75 0 0 0 -> 0 0 1 1 0 , 13.56/3.75 0 0 3 -> 0 3 1 0 1 1 , 13.56/3.75 2 3 0 -> 2 1 0 1 1 3 , 13.56/3.75 3 0 0 -> 3 0 1 0 1 1 , 13.56/3.75 3 0 4 -> 3 1 0 1 1 4 , 13.56/3.75 5 0 3 -> 3 0 1 1 5 , 13.56/3.75 5 0 3 -> 3 5 0 1 1 , 13.56/3.75 0 0 0 4 -> 2 0 2 0 0 4 , 13.56/3.75 0 0 1 3 -> 0 3 1 0 1 1 , 13.56/3.75 0 0 2 4 -> 0 2 2 0 4 , 13.56/3.75 0 2 1 3 -> 0 1 2 3 4 , 13.56/3.75 0 2 1 3 -> 2 0 1 3 4 , 13.56/3.75 0 2 3 0 -> 2 3 4 0 0 , 13.56/3.75 0 2 3 0 -> 2 0 1 2 3 0 , 13.56/3.75 0 4 1 0 -> 0 0 1 1 4 , 13.56/3.75 2 3 0 0 -> 0 1 1 2 3 0 , 13.56/3.75 2 3 0 0 -> 0 1 2 1 3 0 , 13.56/3.75 3 0 0 3 -> 3 0 3 0 1 1 , 13.56/3.75 3 0 2 0 -> 0 3 0 1 2 1 , 13.56/3.75 3 0 4 0 -> 3 0 0 1 1 4 , 13.56/3.75 3 0 5 0 -> 5 0 3 0 1 1 , 13.56/3.75 3 1 0 0 -> 1 1 1 3 0 0 , 13.56/3.75 3 1 0 4 -> 1 1 1 3 4 0 , 13.56/3.75 3 2 1 4 -> 1 1 2 2 4 3 , 13.56/3.75 3 2 1 4 -> 1 2 1 3 1 4 , 13.56/3.75 4 1 0 0 -> 0 0 1 1 4 1 , 13.56/3.75 4 1 0 4 -> 4 0 1 1 4 , 13.56/3.75 5 1 0 3 -> 5 3 0 1 1 1 , 13.56/3.75 5 5 0 4 -> 5 5 1 0 4 , 13.56/3.75 5 5 0 4 -> 0 1 1 5 5 4 , 13.56/3.75 5 5 4 3 -> 3 4 5 5 1 , 13.56/3.75 0 1 4 3 3 -> 0 1 1 4 3 3 , 13.56/3.75 0 2 1 5 3 -> 0 5 2 1 1 3 , 13.56/3.75 0 2 5 2 3 -> 0 3 5 2 1 2 , 13.56/3.75 0 2 5 3 0 -> 0 1 2 5 3 0 , 13.56/3.75 3 5 1 0 4 -> 3 5 0 1 1 4 , 13.56/3.75 4 0 1 0 3 -> 4 0 3 0 1 1 , 13.56/3.75 4 1 4 4 0 -> 4 0 4 1 1 4 , 13.56/3.75 4 2 3 5 4 -> 2 2 4 4 5 3 , 13.56/3.75 4 4 5 0 0 -> 4 4 0 1 5 0 } 13.56/3.75 13.56/3.75 13.56/3.75 The system was filtered by the following matrix interpretation 13.56/3.75 of type E_J with J = {1,...,2} and dimension 7: 13.56/3.75 13.56/3.75 0 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 1 0 0 | 13.56/3.75 | 0 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 1 1 | 13.56/3.75 | 0 0 0 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 1 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 2 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 3 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 0 | 13.56/3.75 | 0 0 1 0 0 1 0 | 13.56/3.75 \ / 13.56/3.75 4 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 5 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 1 0 0 1 0 | 13.56/3.75 | 0 1 0 0 0 0 0 | 13.56/3.75 | 0 0 0 1 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 13.56/3.75 Remains to prove termination of the 41-rule system 13.56/3.75 { 0 0 -> 0 1 2 0 1 1 , 13.56/3.75 0 0 -> 1 0 1 0 1 1 , 13.56/3.75 3 0 -> 1 0 1 1 1 3 , 13.56/3.75 0 0 0 -> 0 0 1 1 0 , 13.56/3.75 0 0 3 -> 0 3 1 0 1 1 , 13.56/3.75 2 3 0 -> 2 1 0 1 1 3 , 13.56/3.75 3 0 0 -> 3 0 1 0 1 1 , 13.56/3.75 3 0 4 -> 3 1 0 1 1 4 , 13.56/3.75 5 0 3 -> 3 0 1 1 5 , 13.56/3.75 5 0 3 -> 3 5 0 1 1 , 13.56/3.75 0 0 0 4 -> 2 0 2 0 0 4 , 13.56/3.75 0 0 1 3 -> 0 3 1 0 1 1 , 13.56/3.75 0 0 2 4 -> 0 2 2 0 4 , 13.56/3.75 0 2 1 3 -> 0 1 2 3 4 , 13.56/3.75 0 2 1 3 -> 2 0 1 3 4 , 13.56/3.75 0 2 3 0 -> 2 3 4 0 0 , 13.56/3.75 0 2 3 0 -> 2 0 1 2 3 0 , 13.56/3.75 0 4 1 0 -> 0 0 1 1 4 , 13.56/3.75 2 3 0 0 -> 0 1 1 2 3 0 , 13.56/3.75 2 3 0 0 -> 0 1 2 1 3 0 , 13.56/3.75 3 0 0 3 -> 3 0 3 0 1 1 , 13.56/3.75 3 0 2 0 -> 0 3 0 1 2 1 , 13.56/3.75 3 0 4 0 -> 3 0 0 1 1 4 , 13.56/3.75 3 0 5 0 -> 5 0 3 0 1 1 , 13.56/3.75 3 1 0 0 -> 1 1 1 3 0 0 , 13.56/3.75 3 1 0 4 -> 1 1 1 3 4 0 , 13.56/3.75 3 2 1 4 -> 1 1 2 2 4 3 , 13.56/3.75 3 2 1 4 -> 1 2 1 3 1 4 , 13.56/3.75 4 1 0 0 -> 0 0 1 1 4 1 , 13.56/3.75 4 1 0 4 -> 4 0 1 1 4 , 13.56/3.75 5 1 0 3 -> 5 3 0 1 1 1 , 13.56/3.75 5 5 4 3 -> 3 4 5 5 1 , 13.56/3.75 0 1 4 3 3 -> 0 1 1 4 3 3 , 13.56/3.75 0 2 1 5 3 -> 0 5 2 1 1 3 , 13.56/3.75 0 2 5 2 3 -> 0 3 5 2 1 2 , 13.56/3.75 0 2 5 3 0 -> 0 1 2 5 3 0 , 13.56/3.75 3 5 1 0 4 -> 3 5 0 1 1 4 , 13.56/3.75 4 0 1 0 3 -> 4 0 3 0 1 1 , 13.56/3.75 4 1 4 4 0 -> 4 0 4 1 1 4 , 13.56/3.75 4 2 3 5 4 -> 2 2 4 4 5 3 , 13.56/3.75 4 4 5 0 0 -> 4 4 0 1 5 0 } 13.56/3.75 13.56/3.75 13.56/3.75 The system was filtered by the following matrix interpretation 13.56/3.75 of type E_J with J = {1,...,2} and dimension 5: 13.56/3.75 13.56/3.75 0 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 1 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 | 0 0 0 1 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 1 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 2 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 | 0 0 1 0 0 | 13.56/3.75 | 0 0 0 0 1 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 3 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 | 0 0 1 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 4 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 | 0 0 1 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 \ / 13.56/3.75 5 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 13.56/3.75 Remains to prove termination of the 40-rule system 13.56/3.75 { 0 0 -> 0 1 2 0 1 1 , 13.56/3.75 0 0 -> 1 0 1 0 1 1 , 13.56/3.75 3 0 -> 1 0 1 1 1 3 , 13.56/3.75 0 0 0 -> 0 0 1 1 0 , 13.56/3.75 0 0 3 -> 0 3 1 0 1 1 , 13.56/3.75 2 3 0 -> 2 1 0 1 1 3 , 13.56/3.75 3 0 0 -> 3 0 1 0 1 1 , 13.56/3.75 3 0 4 -> 3 1 0 1 1 4 , 13.56/3.75 5 0 3 -> 3 0 1 1 5 , 13.56/3.75 5 0 3 -> 3 5 0 1 1 , 13.56/3.75 0 0 0 4 -> 2 0 2 0 0 4 , 13.56/3.75 0 0 1 3 -> 0 3 1 0 1 1 , 13.56/3.75 0 2 1 3 -> 0 1 2 3 4 , 13.56/3.75 0 2 1 3 -> 2 0 1 3 4 , 13.56/3.75 0 2 3 0 -> 2 3 4 0 0 , 13.56/3.75 0 2 3 0 -> 2 0 1 2 3 0 , 13.56/3.75 0 4 1 0 -> 0 0 1 1 4 , 13.56/3.75 2 3 0 0 -> 0 1 1 2 3 0 , 13.56/3.75 2 3 0 0 -> 0 1 2 1 3 0 , 13.56/3.75 3 0 0 3 -> 3 0 3 0 1 1 , 13.56/3.75 3 0 2 0 -> 0 3 0 1 2 1 , 13.56/3.75 3 0 4 0 -> 3 0 0 1 1 4 , 13.56/3.75 3 0 5 0 -> 5 0 3 0 1 1 , 13.56/3.75 3 1 0 0 -> 1 1 1 3 0 0 , 13.56/3.75 3 1 0 4 -> 1 1 1 3 4 0 , 13.56/3.75 3 2 1 4 -> 1 1 2 2 4 3 , 13.56/3.75 3 2 1 4 -> 1 2 1 3 1 4 , 13.56/3.75 4 1 0 0 -> 0 0 1 1 4 1 , 13.56/3.75 4 1 0 4 -> 4 0 1 1 4 , 13.56/3.75 5 1 0 3 -> 5 3 0 1 1 1 , 13.56/3.75 5 5 4 3 -> 3 4 5 5 1 , 13.56/3.75 0 1 4 3 3 -> 0 1 1 4 3 3 , 13.56/3.75 0 2 1 5 3 -> 0 5 2 1 1 3 , 13.56/3.75 0 2 5 2 3 -> 0 3 5 2 1 2 , 13.56/3.75 0 2 5 3 0 -> 0 1 2 5 3 0 , 13.56/3.75 3 5 1 0 4 -> 3 5 0 1 1 4 , 13.56/3.75 4 0 1 0 3 -> 4 0 3 0 1 1 , 13.56/3.75 4 1 4 4 0 -> 4 0 4 1 1 4 , 13.56/3.75 4 2 3 5 4 -> 2 2 4 4 5 3 , 13.56/3.75 4 4 5 0 0 -> 4 4 0 1 5 0 } 13.56/3.75 13.56/3.75 13.56/3.75 The system was filtered by the following matrix interpretation 13.56/3.75 of type E_J with J = {1,...,2} and dimension 8: 13.56/3.75 13.56/3.75 0 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 1 0 0 1 0 0 | 13.56/3.75 | 0 1 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 1 0 0 0 0 | 13.56/3.75 | 0 0 0 0 1 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 1 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 1 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 2 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 1 0 | 13.56/3.75 | 0 0 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 3 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 0 1 | 13.56/3.75 | 0 0 0 0 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 4 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 0 0 0 | 13.56/3.75 | 0 0 1 0 0 1 0 0 | 13.56/3.75 | 0 0 0 0 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 5 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 13.56/3.75 Remains to prove termination of the 39-rule system 13.56/3.75 { 0 0 -> 0 1 2 0 1 1 , 13.56/3.75 0 0 -> 1 0 1 0 1 1 , 13.56/3.75 3 0 -> 1 0 1 1 1 3 , 13.56/3.75 0 0 0 -> 0 0 1 1 0 , 13.56/3.75 0 0 3 -> 0 3 1 0 1 1 , 13.56/3.75 2 3 0 -> 2 1 0 1 1 3 , 13.56/3.75 3 0 0 -> 3 0 1 0 1 1 , 13.56/3.75 3 0 4 -> 3 1 0 1 1 4 , 13.56/3.75 5 0 3 -> 3 0 1 1 5 , 13.56/3.75 5 0 3 -> 3 5 0 1 1 , 13.56/3.75 0 0 1 3 -> 0 3 1 0 1 1 , 13.56/3.75 0 2 1 3 -> 0 1 2 3 4 , 13.56/3.75 0 2 1 3 -> 2 0 1 3 4 , 13.56/3.75 0 2 3 0 -> 2 3 4 0 0 , 13.56/3.75 0 2 3 0 -> 2 0 1 2 3 0 , 13.56/3.75 0 4 1 0 -> 0 0 1 1 4 , 13.56/3.75 2 3 0 0 -> 0 1 1 2 3 0 , 13.56/3.75 2 3 0 0 -> 0 1 2 1 3 0 , 13.56/3.75 3 0 0 3 -> 3 0 3 0 1 1 , 13.56/3.75 3 0 2 0 -> 0 3 0 1 2 1 , 13.56/3.75 3 0 4 0 -> 3 0 0 1 1 4 , 13.56/3.75 3 0 5 0 -> 5 0 3 0 1 1 , 13.56/3.75 3 1 0 0 -> 1 1 1 3 0 0 , 13.56/3.75 3 1 0 4 -> 1 1 1 3 4 0 , 13.56/3.75 3 2 1 4 -> 1 1 2 2 4 3 , 13.56/3.75 3 2 1 4 -> 1 2 1 3 1 4 , 13.56/3.75 4 1 0 0 -> 0 0 1 1 4 1 , 13.56/3.75 4 1 0 4 -> 4 0 1 1 4 , 13.56/3.75 5 1 0 3 -> 5 3 0 1 1 1 , 13.56/3.75 5 5 4 3 -> 3 4 5 5 1 , 13.56/3.75 0 1 4 3 3 -> 0 1 1 4 3 3 , 13.56/3.75 0 2 1 5 3 -> 0 5 2 1 1 3 , 13.56/3.75 0 2 5 2 3 -> 0 3 5 2 1 2 , 13.56/3.75 0 2 5 3 0 -> 0 1 2 5 3 0 , 13.56/3.75 3 5 1 0 4 -> 3 5 0 1 1 4 , 13.56/3.75 4 0 1 0 3 -> 4 0 3 0 1 1 , 13.56/3.75 4 1 4 4 0 -> 4 0 4 1 1 4 , 13.56/3.75 4 2 3 5 4 -> 2 2 4 4 5 3 , 13.56/3.75 4 4 5 0 0 -> 4 4 0 1 5 0 } 13.56/3.75 13.56/3.75 13.56/3.75 The system was filtered by the following matrix interpretation 13.56/3.75 of type E_J with J = {1,...,2} and dimension 5: 13.56/3.75 13.56/3.75 0 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 1 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 1 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 1 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 2 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 | 0 0 0 1 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 3 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 \ / 13.56/3.75 4 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 | 0 0 1 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 5 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 \ / 13.56/3.75 13.56/3.75 Remains to prove termination of the 36-rule system 13.56/3.75 { 0 0 -> 0 1 2 0 1 1 , 13.56/3.75 0 0 -> 1 0 1 0 1 1 , 13.56/3.75 3 0 -> 1 0 1 1 1 3 , 13.56/3.75 0 0 0 -> 0 0 1 1 0 , 13.56/3.75 0 0 3 -> 0 3 1 0 1 1 , 13.56/3.75 2 3 0 -> 2 1 0 1 1 3 , 13.56/3.75 3 0 0 -> 3 0 1 0 1 1 , 13.56/3.75 3 0 4 -> 3 1 0 1 1 4 , 13.56/3.75 5 0 3 -> 3 0 1 1 5 , 13.56/3.75 5 0 3 -> 3 5 0 1 1 , 13.56/3.75 0 0 1 3 -> 0 3 1 0 1 1 , 13.56/3.75 0 2 3 0 -> 2 3 4 0 0 , 13.56/3.75 0 2 3 0 -> 2 0 1 2 3 0 , 13.56/3.75 0 4 1 0 -> 0 0 1 1 4 , 13.56/3.75 2 3 0 0 -> 0 1 1 2 3 0 , 13.56/3.75 2 3 0 0 -> 0 1 2 1 3 0 , 13.56/3.75 3 0 0 3 -> 3 0 3 0 1 1 , 13.56/3.75 3 0 2 0 -> 0 3 0 1 2 1 , 13.56/3.75 3 0 4 0 -> 3 0 0 1 1 4 , 13.56/3.75 3 0 5 0 -> 5 0 3 0 1 1 , 13.56/3.75 3 1 0 0 -> 1 1 1 3 0 0 , 13.56/3.75 3 1 0 4 -> 1 1 1 3 4 0 , 13.56/3.75 3 2 1 4 -> 1 1 2 2 4 3 , 13.56/3.75 3 2 1 4 -> 1 2 1 3 1 4 , 13.56/3.75 4 1 0 0 -> 0 0 1 1 4 1 , 13.56/3.75 4 1 0 4 -> 4 0 1 1 4 , 13.56/3.75 5 1 0 3 -> 5 3 0 1 1 1 , 13.56/3.75 5 5 4 3 -> 3 4 5 5 1 , 13.56/3.75 0 1 4 3 3 -> 0 1 1 4 3 3 , 13.56/3.75 0 2 5 2 3 -> 0 3 5 2 1 2 , 13.56/3.75 0 2 5 3 0 -> 0 1 2 5 3 0 , 13.56/3.75 3 5 1 0 4 -> 3 5 0 1 1 4 , 13.56/3.75 4 0 1 0 3 -> 4 0 3 0 1 1 , 13.56/3.75 4 1 4 4 0 -> 4 0 4 1 1 4 , 13.56/3.75 4 2 3 5 4 -> 2 2 4 4 5 3 , 13.56/3.75 4 4 5 0 0 -> 4 4 0 1 5 0 } 13.56/3.75 13.56/3.75 13.56/3.75 The system was filtered by the following matrix interpretation 13.56/3.75 of type E_J with J = {1,...,2} and dimension 6: 13.56/3.75 13.56/3.75 0 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 1 0 0 0 | 13.56/3.75 | 0 1 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 1 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 2 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 0 | 13.56/3.75 | 0 0 0 1 0 0 | 13.56/3.75 | 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 3 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 1 0 | 13.56/3.75 | 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 4 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 1 0 0 0 | 13.56/3.75 | 0 1 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 5 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 1 | 13.56/3.75 | 0 0 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 13.56/3.75 Remains to prove termination of the 35-rule system 13.56/3.75 { 0 0 -> 0 1 2 0 1 1 , 13.56/3.75 0 0 -> 1 0 1 0 1 1 , 13.56/3.75 3 0 -> 1 0 1 1 1 3 , 13.56/3.75 0 0 0 -> 0 0 1 1 0 , 13.56/3.75 0 0 3 -> 0 3 1 0 1 1 , 13.56/3.75 2 3 0 -> 2 1 0 1 1 3 , 13.56/3.75 3 0 0 -> 3 0 1 0 1 1 , 13.56/3.75 3 0 4 -> 3 1 0 1 1 4 , 13.56/3.75 5 0 3 -> 3 0 1 1 5 , 13.56/3.75 5 0 3 -> 3 5 0 1 1 , 13.56/3.75 0 0 1 3 -> 0 3 1 0 1 1 , 13.56/3.75 0 2 3 0 -> 2 3 4 0 0 , 13.56/3.75 0 2 3 0 -> 2 0 1 2 3 0 , 13.56/3.75 0 4 1 0 -> 0 0 1 1 4 , 13.56/3.75 2 3 0 0 -> 0 1 1 2 3 0 , 13.56/3.75 2 3 0 0 -> 0 1 2 1 3 0 , 13.56/3.75 3 0 0 3 -> 3 0 3 0 1 1 , 13.56/3.75 3 0 2 0 -> 0 3 0 1 2 1 , 13.56/3.75 3 0 4 0 -> 3 0 0 1 1 4 , 13.56/3.75 3 0 5 0 -> 5 0 3 0 1 1 , 13.56/3.75 3 1 0 0 -> 1 1 1 3 0 0 , 13.56/3.75 3 1 0 4 -> 1 1 1 3 4 0 , 13.56/3.75 3 2 1 4 -> 1 1 2 2 4 3 , 13.56/3.75 3 2 1 4 -> 1 2 1 3 1 4 , 13.56/3.75 4 1 0 0 -> 0 0 1 1 4 1 , 13.56/3.75 4 1 0 4 -> 4 0 1 1 4 , 13.56/3.75 5 1 0 3 -> 5 3 0 1 1 1 , 13.56/3.75 5 5 4 3 -> 3 4 5 5 1 , 13.56/3.75 0 1 4 3 3 -> 0 1 1 4 3 3 , 13.56/3.75 0 2 5 2 3 -> 0 3 5 2 1 2 , 13.56/3.75 0 2 5 3 0 -> 0 1 2 5 3 0 , 13.56/3.75 3 5 1 0 4 -> 3 5 0 1 1 4 , 13.56/3.75 4 0 1 0 3 -> 4 0 3 0 1 1 , 13.56/3.75 4 1 4 4 0 -> 4 0 4 1 1 4 , 13.56/3.75 4 4 5 0 0 -> 4 4 0 1 5 0 } 13.56/3.75 13.56/3.75 13.56/3.75 The system was filtered by the following matrix interpretation 13.56/3.75 of type E_J with J = {1,...,2} and dimension 5: 13.56/3.75 13.56/3.75 0 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 | 0 0 1 0 0 | 13.56/3.75 | 0 0 1 0 1 | 13.56/3.75 | 0 0 0 1 0 | 13.56/3.75 \ / 13.56/3.75 1 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 | 0 0 0 1 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 2 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 3 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 1 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 4 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 1 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 \ / 13.56/3.75 5 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 13.56/3.75 Remains to prove termination of the 33-rule system 13.56/3.75 { 0 0 -> 0 1 2 0 1 1 , 13.56/3.75 0 0 -> 1 0 1 0 1 1 , 13.56/3.75 3 0 -> 1 0 1 1 1 3 , 13.56/3.75 0 0 0 -> 0 0 1 1 0 , 13.56/3.75 0 0 3 -> 0 3 1 0 1 1 , 13.56/3.75 2 3 0 -> 2 1 0 1 1 3 , 13.56/3.75 3 0 0 -> 3 0 1 0 1 1 , 13.56/3.75 3 0 4 -> 3 1 0 1 1 4 , 13.56/3.75 5 0 3 -> 3 0 1 1 5 , 13.56/3.75 5 0 3 -> 3 5 0 1 1 , 13.56/3.75 0 0 1 3 -> 0 3 1 0 1 1 , 13.56/3.75 0 2 3 0 -> 2 3 4 0 0 , 13.56/3.75 0 2 3 0 -> 2 0 1 2 3 0 , 13.56/3.75 0 4 1 0 -> 0 0 1 1 4 , 13.56/3.75 2 3 0 0 -> 0 1 1 2 3 0 , 13.56/3.75 2 3 0 0 -> 0 1 2 1 3 0 , 13.56/3.75 3 0 0 3 -> 3 0 3 0 1 1 , 13.56/3.75 3 0 2 0 -> 0 3 0 1 2 1 , 13.56/3.75 3 0 4 0 -> 3 0 0 1 1 4 , 13.56/3.75 3 0 5 0 -> 5 0 3 0 1 1 , 13.56/3.75 3 1 0 0 -> 1 1 1 3 0 0 , 13.56/3.75 3 2 1 4 -> 1 1 2 2 4 3 , 13.56/3.75 3 2 1 4 -> 1 2 1 3 1 4 , 13.56/3.75 4 1 0 0 -> 0 0 1 1 4 1 , 13.56/3.75 5 1 0 3 -> 5 3 0 1 1 1 , 13.56/3.75 5 5 4 3 -> 3 4 5 5 1 , 13.56/3.75 0 1 4 3 3 -> 0 1 1 4 3 3 , 13.56/3.75 0 2 5 2 3 -> 0 3 5 2 1 2 , 13.56/3.75 0 2 5 3 0 -> 0 1 2 5 3 0 , 13.56/3.75 3 5 1 0 4 -> 3 5 0 1 1 4 , 13.56/3.75 4 0 1 0 3 -> 4 0 3 0 1 1 , 13.56/3.75 4 1 4 4 0 -> 4 0 4 1 1 4 , 13.56/3.75 4 4 5 0 0 -> 4 4 0 1 5 0 } 13.56/3.75 13.56/3.75 13.56/3.75 The system was filtered by the following matrix interpretation 13.56/3.75 of type E_J with J = {1,...,2} and dimension 5: 13.56/3.75 13.56/3.75 0 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 1 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 1 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 1 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 2 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 | 0 0 0 1 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 3 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 1 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 4 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 1 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 \ / 13.56/3.75 5 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 13.56/3.75 Remains to prove termination of the 31-rule system 13.56/3.75 { 0 0 -> 0 1 2 0 1 1 , 13.56/3.75 0 0 -> 1 0 1 0 1 1 , 13.56/3.75 3 0 -> 1 0 1 1 1 3 , 13.56/3.75 0 0 0 -> 0 0 1 1 0 , 13.56/3.75 0 0 3 -> 0 3 1 0 1 1 , 13.56/3.75 2 3 0 -> 2 1 0 1 1 3 , 13.56/3.75 3 0 0 -> 3 0 1 0 1 1 , 13.56/3.75 3 0 4 -> 3 1 0 1 1 4 , 13.56/3.75 5 0 3 -> 3 0 1 1 5 , 13.56/3.75 5 0 3 -> 3 5 0 1 1 , 13.56/3.75 0 0 1 3 -> 0 3 1 0 1 1 , 13.56/3.75 0 2 3 0 -> 2 3 4 0 0 , 13.56/3.75 0 2 3 0 -> 2 0 1 2 3 0 , 13.56/3.75 0 4 1 0 -> 0 0 1 1 4 , 13.56/3.75 2 3 0 0 -> 0 1 1 2 3 0 , 13.56/3.75 2 3 0 0 -> 0 1 2 1 3 0 , 13.56/3.75 3 0 0 3 -> 3 0 3 0 1 1 , 13.56/3.75 3 0 2 0 -> 0 3 0 1 2 1 , 13.56/3.75 3 0 4 0 -> 3 0 0 1 1 4 , 13.56/3.75 3 0 5 0 -> 5 0 3 0 1 1 , 13.56/3.75 3 1 0 0 -> 1 1 1 3 0 0 , 13.56/3.75 4 1 0 0 -> 0 0 1 1 4 1 , 13.56/3.75 5 1 0 3 -> 5 3 0 1 1 1 , 13.56/3.75 5 5 4 3 -> 3 4 5 5 1 , 13.56/3.75 0 1 4 3 3 -> 0 1 1 4 3 3 , 13.56/3.75 0 2 5 2 3 -> 0 3 5 2 1 2 , 13.56/3.75 0 2 5 3 0 -> 0 1 2 5 3 0 , 13.56/3.75 3 5 1 0 4 -> 3 5 0 1 1 4 , 13.56/3.75 4 0 1 0 3 -> 4 0 3 0 1 1 , 13.56/3.75 4 1 4 4 0 -> 4 0 4 1 1 4 , 13.56/3.75 4 4 5 0 0 -> 4 4 0 1 5 0 } 13.56/3.75 13.56/3.75 13.56/3.75 The system was filtered by the following matrix interpretation 13.56/3.75 of type E_J with J = {1,...,2} and dimension 6: 13.56/3.75 13.56/3.75 0 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 1 0 0 0 | 13.56/3.75 | 0 1 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 1 | 13.56/3.75 | 0 0 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 1 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 1 0 | 13.56/3.75 | 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 2 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 3 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 1 0 0 0 | 13.56/3.75 | 0 1 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 4 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 5 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 0 | 13.56/3.75 | 0 0 0 1 0 0 | 13.56/3.75 | 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 13.56/3.75 Remains to prove termination of the 30-rule system 13.56/3.75 { 0 0 -> 0 1 2 0 1 1 , 13.56/3.75 0 0 -> 1 0 1 0 1 1 , 13.56/3.75 3 0 -> 1 0 1 1 1 3 , 13.56/3.75 0 0 0 -> 0 0 1 1 0 , 13.56/3.75 0 0 3 -> 0 3 1 0 1 1 , 13.56/3.75 2 3 0 -> 2 1 0 1 1 3 , 13.56/3.75 3 0 0 -> 3 0 1 0 1 1 , 13.56/3.75 3 0 4 -> 3 1 0 1 1 4 , 13.56/3.75 5 0 3 -> 3 0 1 1 5 , 13.56/3.75 5 0 3 -> 3 5 0 1 1 , 13.56/3.75 0 0 1 3 -> 0 3 1 0 1 1 , 13.56/3.75 0 2 3 0 -> 2 3 4 0 0 , 13.56/3.75 0 2 3 0 -> 2 0 1 2 3 0 , 13.56/3.75 0 4 1 0 -> 0 0 1 1 4 , 13.56/3.75 2 3 0 0 -> 0 1 1 2 3 0 , 13.56/3.75 2 3 0 0 -> 0 1 2 1 3 0 , 13.56/3.75 3 0 0 3 -> 3 0 3 0 1 1 , 13.56/3.75 3 0 2 0 -> 0 3 0 1 2 1 , 13.56/3.75 3 0 4 0 -> 3 0 0 1 1 4 , 13.56/3.75 3 0 5 0 -> 5 0 3 0 1 1 , 13.56/3.75 3 1 0 0 -> 1 1 1 3 0 0 , 13.56/3.75 4 1 0 0 -> 0 0 1 1 4 1 , 13.56/3.75 5 1 0 3 -> 5 3 0 1 1 1 , 13.56/3.75 5 5 4 3 -> 3 4 5 5 1 , 13.56/3.75 0 1 4 3 3 -> 0 1 1 4 3 3 , 13.56/3.75 0 2 5 2 3 -> 0 3 5 2 1 2 , 13.56/3.75 0 2 5 3 0 -> 0 1 2 5 3 0 , 13.56/3.75 4 0 1 0 3 -> 4 0 3 0 1 1 , 13.56/3.75 4 1 4 4 0 -> 4 0 4 1 1 4 , 13.56/3.75 4 4 5 0 0 -> 4 4 0 1 5 0 } 13.56/3.75 13.56/3.75 13.56/3.75 The system was filtered by the following matrix interpretation 13.56/3.75 of type E_J with J = {1,...,2} and dimension 6: 13.56/3.75 13.56/3.75 0 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 1 0 0 0 | 13.56/3.75 | 0 1 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 1 0 | 13.56/3.75 \ / 13.56/3.75 1 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 0 | 13.56/3.75 | 0 0 0 1 0 0 | 13.56/3.75 | 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 2 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 1 0 | 13.56/3.75 | 0 0 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 3 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 1 | 13.56/3.75 | 0 1 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 4 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 1 0 | 13.56/3.75 | 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 5 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 13.56/3.75 Remains to prove termination of the 29-rule system 13.56/3.75 { 0 0 -> 0 1 2 0 1 1 , 13.56/3.75 0 0 -> 1 0 1 0 1 1 , 13.56/3.75 3 0 -> 1 0 1 1 1 3 , 13.56/3.75 0 0 0 -> 0 0 1 1 0 , 13.56/3.75 0 0 3 -> 0 3 1 0 1 1 , 13.56/3.75 2 3 0 -> 2 1 0 1 1 3 , 13.56/3.75 3 0 0 -> 3 0 1 0 1 1 , 13.56/3.75 3 0 4 -> 3 1 0 1 1 4 , 13.56/3.75 5 0 3 -> 3 0 1 1 5 , 13.56/3.75 5 0 3 -> 3 5 0 1 1 , 13.56/3.75 0 0 1 3 -> 0 3 1 0 1 1 , 13.56/3.75 0 2 3 0 -> 2 3 4 0 0 , 13.56/3.75 0 2 3 0 -> 2 0 1 2 3 0 , 13.56/3.75 0 4 1 0 -> 0 0 1 1 4 , 13.56/3.75 2 3 0 0 -> 0 1 1 2 3 0 , 13.56/3.75 2 3 0 0 -> 0 1 2 1 3 0 , 13.56/3.75 3 0 0 3 -> 3 0 3 0 1 1 , 13.56/3.75 3 0 2 0 -> 0 3 0 1 2 1 , 13.56/3.75 3 0 4 0 -> 3 0 0 1 1 4 , 13.56/3.75 3 0 5 0 -> 5 0 3 0 1 1 , 13.56/3.75 3 1 0 0 -> 1 1 1 3 0 0 , 13.56/3.75 4 1 0 0 -> 0 0 1 1 4 1 , 13.56/3.75 5 1 0 3 -> 5 3 0 1 1 1 , 13.56/3.75 5 5 4 3 -> 3 4 5 5 1 , 13.56/3.75 0 2 5 2 3 -> 0 3 5 2 1 2 , 13.56/3.75 0 2 5 3 0 -> 0 1 2 5 3 0 , 13.56/3.75 4 0 1 0 3 -> 4 0 3 0 1 1 , 13.56/3.75 4 1 4 4 0 -> 4 0 4 1 1 4 , 13.56/3.75 4 4 5 0 0 -> 4 4 0 1 5 0 } 13.56/3.75 13.56/3.75 13.56/3.75 The system was filtered by the following matrix interpretation 13.56/3.75 of type E_J with J = {1,...,2} and dimension 4: 13.56/3.75 13.56/3.75 0 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 1 0 | 13.56/3.75 | 0 1 0 0 | 13.56/3.75 | 0 0 0 1 | 13.56/3.75 | 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 1 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 | 13.56/3.75 | 0 1 0 0 | 13.56/3.75 | 0 0 0 0 | 13.56/3.75 | 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 2 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 | 13.56/3.75 | 0 1 0 0 | 13.56/3.75 | 0 0 0 0 | 13.56/3.75 | 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 3 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 1 0 | 13.56/3.75 | 0 1 0 0 | 13.56/3.75 | 0 0 0 0 | 13.56/3.75 | 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 4 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 | 13.56/3.75 | 0 1 0 0 | 13.56/3.75 | 0 0 0 0 | 13.56/3.75 | 0 1 0 0 | 13.56/3.75 \ / 13.56/3.75 5 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 | 13.56/3.75 | 0 1 0 0 | 13.56/3.75 | 0 0 0 0 | 13.56/3.75 | 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 13.56/3.75 Remains to prove termination of the 27-rule system 13.56/3.75 { 0 0 -> 0 1 2 0 1 1 , 13.56/3.75 0 0 -> 1 0 1 0 1 1 , 13.56/3.75 3 0 -> 1 0 1 1 1 3 , 13.56/3.75 0 0 0 -> 0 0 1 1 0 , 13.56/3.75 0 0 3 -> 0 3 1 0 1 1 , 13.56/3.75 2 3 0 -> 2 1 0 1 1 3 , 13.56/3.75 3 0 0 -> 3 0 1 0 1 1 , 13.56/3.75 5 0 3 -> 3 0 1 1 5 , 13.56/3.75 5 0 3 -> 3 5 0 1 1 , 13.56/3.75 0 0 1 3 -> 0 3 1 0 1 1 , 13.56/3.75 0 2 3 0 -> 2 3 4 0 0 , 13.56/3.75 0 2 3 0 -> 2 0 1 2 3 0 , 13.56/3.75 0 4 1 0 -> 0 0 1 1 4 , 13.56/3.75 2 3 0 0 -> 0 1 1 2 3 0 , 13.56/3.75 2 3 0 0 -> 0 1 2 1 3 0 , 13.56/3.75 3 0 0 3 -> 3 0 3 0 1 1 , 13.56/3.75 3 0 2 0 -> 0 3 0 1 2 1 , 13.56/3.75 3 0 5 0 -> 5 0 3 0 1 1 , 13.56/3.75 3 1 0 0 -> 1 1 1 3 0 0 , 13.56/3.75 4 1 0 0 -> 0 0 1 1 4 1 , 13.56/3.75 5 1 0 3 -> 5 3 0 1 1 1 , 13.56/3.75 5 5 4 3 -> 3 4 5 5 1 , 13.56/3.75 0 2 5 2 3 -> 0 3 5 2 1 2 , 13.56/3.75 0 2 5 3 0 -> 0 1 2 5 3 0 , 13.56/3.75 4 0 1 0 3 -> 4 0 3 0 1 1 , 13.56/3.75 4 1 4 4 0 -> 4 0 4 1 1 4 , 13.56/3.75 4 4 5 0 0 -> 4 4 0 1 5 0 } 13.56/3.75 13.56/3.75 13.56/3.75 The system was filtered by the following matrix interpretation 13.56/3.75 of type E_J with J = {1,...,2} and dimension 5: 13.56/3.75 13.56/3.75 0 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 1 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 | 0 0 0 1 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 1 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 1 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 2 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 3 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 1 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 \ / 13.56/3.75 4 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 5 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 \ / 13.56/3.75 13.56/3.75 Remains to prove termination of the 26-rule system 13.56/3.75 { 0 0 -> 0 1 2 0 1 1 , 13.56/3.75 0 0 -> 1 0 1 0 1 1 , 13.56/3.75 3 0 -> 1 0 1 1 1 3 , 13.56/3.75 0 0 0 -> 0 0 1 1 0 , 13.56/3.75 0 0 3 -> 0 3 1 0 1 1 , 13.56/3.75 2 3 0 -> 2 1 0 1 1 3 , 13.56/3.75 3 0 0 -> 3 0 1 0 1 1 , 13.56/3.75 5 0 3 -> 3 0 1 1 5 , 13.56/3.75 5 0 3 -> 3 5 0 1 1 , 13.56/3.75 0 2 3 0 -> 2 3 4 0 0 , 13.56/3.75 0 2 3 0 -> 2 0 1 2 3 0 , 13.56/3.75 0 4 1 0 -> 0 0 1 1 4 , 13.56/3.75 2 3 0 0 -> 0 1 1 2 3 0 , 13.56/3.75 2 3 0 0 -> 0 1 2 1 3 0 , 13.56/3.75 3 0 0 3 -> 3 0 3 0 1 1 , 13.56/3.75 3 0 2 0 -> 0 3 0 1 2 1 , 13.56/3.75 3 0 5 0 -> 5 0 3 0 1 1 , 13.56/3.75 3 1 0 0 -> 1 1 1 3 0 0 , 13.56/3.75 4 1 0 0 -> 0 0 1 1 4 1 , 13.56/3.75 5 1 0 3 -> 5 3 0 1 1 1 , 13.56/3.75 5 5 4 3 -> 3 4 5 5 1 , 13.56/3.75 0 2 5 2 3 -> 0 3 5 2 1 2 , 13.56/3.75 0 2 5 3 0 -> 0 1 2 5 3 0 , 13.56/3.75 4 0 1 0 3 -> 4 0 3 0 1 1 , 13.56/3.75 4 1 4 4 0 -> 4 0 4 1 1 4 , 13.56/3.75 4 4 5 0 0 -> 4 4 0 1 5 0 } 13.56/3.75 13.56/3.75 13.56/3.75 The system was filtered by the following matrix interpretation 13.56/3.75 of type E_J with J = {1,...,2} and dimension 6: 13.56/3.75 13.56/3.75 0 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 1 0 0 0 | 13.56/3.75 | 0 1 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 1 0 | 13.56/3.75 | 0 0 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 1 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 2 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 0 | 13.56/3.75 | 0 0 0 1 0 0 | 13.56/3.75 | 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 1 | 13.56/3.75 | 0 0 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 3 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 4 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 5 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 1 0 | 13.56/3.75 | 0 0 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 13.56/3.75 Remains to prove termination of the 25-rule system 13.56/3.75 { 0 0 -> 0 1 2 0 1 1 , 13.56/3.75 0 0 -> 1 0 1 0 1 1 , 13.56/3.75 3 0 -> 1 0 1 1 1 3 , 13.56/3.75 0 0 0 -> 0 0 1 1 0 , 13.56/3.75 0 0 3 -> 0 3 1 0 1 1 , 13.56/3.75 2 3 0 -> 2 1 0 1 1 3 , 13.56/3.75 3 0 0 -> 3 0 1 0 1 1 , 13.56/3.75 5 0 3 -> 3 0 1 1 5 , 13.56/3.75 5 0 3 -> 3 5 0 1 1 , 13.56/3.75 0 2 3 0 -> 2 3 4 0 0 , 13.56/3.75 0 2 3 0 -> 2 0 1 2 3 0 , 13.56/3.75 0 4 1 0 -> 0 0 1 1 4 , 13.56/3.75 2 3 0 0 -> 0 1 1 2 3 0 , 13.56/3.75 2 3 0 0 -> 0 1 2 1 3 0 , 13.56/3.75 3 0 0 3 -> 3 0 3 0 1 1 , 13.56/3.75 3 0 2 0 -> 0 3 0 1 2 1 , 13.56/3.75 3 0 5 0 -> 5 0 3 0 1 1 , 13.56/3.75 3 1 0 0 -> 1 1 1 3 0 0 , 13.56/3.75 4 1 0 0 -> 0 0 1 1 4 1 , 13.56/3.75 5 1 0 3 -> 5 3 0 1 1 1 , 13.56/3.75 5 5 4 3 -> 3 4 5 5 1 , 13.56/3.75 0 2 5 3 0 -> 0 1 2 5 3 0 , 13.56/3.75 4 0 1 0 3 -> 4 0 3 0 1 1 , 13.56/3.75 4 1 4 4 0 -> 4 0 4 1 1 4 , 13.56/3.75 4 4 5 0 0 -> 4 4 0 1 5 0 } 13.56/3.75 13.56/3.75 13.56/3.75 The system was filtered by the following matrix interpretation 13.56/3.75 of type E_J with J = {1,...,2} and dimension 5: 13.56/3.75 13.56/3.75 0 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 1 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 1 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 2 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 3 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 1 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 \ / 13.56/3.75 4 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 1 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 5 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 1 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 | 0 0 0 1 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 \ / 13.56/3.75 13.56/3.75 Remains to prove termination of the 24-rule system 13.56/3.75 { 0 0 -> 0 1 2 0 1 1 , 13.56/3.75 0 0 -> 1 0 1 0 1 1 , 13.56/3.75 3 0 -> 1 0 1 1 1 3 , 13.56/3.75 0 0 0 -> 0 0 1 1 0 , 13.56/3.75 0 0 3 -> 0 3 1 0 1 1 , 13.56/3.75 2 3 0 -> 2 1 0 1 1 3 , 13.56/3.75 3 0 0 -> 3 0 1 0 1 1 , 13.56/3.75 5 0 3 -> 3 0 1 1 5 , 13.56/3.75 5 0 3 -> 3 5 0 1 1 , 13.56/3.75 0 2 3 0 -> 2 3 4 0 0 , 13.56/3.75 0 2 3 0 -> 2 0 1 2 3 0 , 13.56/3.75 0 4 1 0 -> 0 0 1 1 4 , 13.56/3.75 2 3 0 0 -> 0 1 1 2 3 0 , 13.56/3.75 2 3 0 0 -> 0 1 2 1 3 0 , 13.56/3.75 3 0 0 3 -> 3 0 3 0 1 1 , 13.56/3.75 3 0 2 0 -> 0 3 0 1 2 1 , 13.56/3.75 3 0 5 0 -> 5 0 3 0 1 1 , 13.56/3.75 3 1 0 0 -> 1 1 1 3 0 0 , 13.56/3.75 4 1 0 0 -> 0 0 1 1 4 1 , 13.56/3.75 5 1 0 3 -> 5 3 0 1 1 1 , 13.56/3.75 0 2 5 3 0 -> 0 1 2 5 3 0 , 13.56/3.75 4 0 1 0 3 -> 4 0 3 0 1 1 , 13.56/3.75 4 1 4 4 0 -> 4 0 4 1 1 4 , 13.56/3.75 4 4 5 0 0 -> 4 4 0 1 5 0 } 13.56/3.75 13.56/3.75 13.56/3.75 The system was filtered by the following matrix interpretation 13.56/3.75 of type E_J with J = {1,...,2} and dimension 5: 13.56/3.75 13.56/3.75 0 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 1 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 | 0 0 1 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 \ / 13.56/3.75 1 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 2 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 | 0 0 0 1 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 \ / 13.56/3.75 3 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 1 0 1 | 13.56/3.75 | 0 0 0 0 1 | 13.56/3.75 \ / 13.56/3.75 4 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 \ / 13.56/3.75 5 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 \ / 13.56/3.75 13.56/3.75 Remains to prove termination of the 21-rule system 13.56/3.75 { 0 0 -> 0 1 2 0 1 1 , 13.56/3.75 0 0 -> 1 0 1 0 1 1 , 13.56/3.75 3 0 -> 1 0 1 1 1 3 , 13.56/3.75 0 0 0 -> 0 0 1 1 0 , 13.56/3.75 0 0 3 -> 0 3 1 0 1 1 , 13.56/3.75 2 3 0 -> 2 1 0 1 1 3 , 13.56/3.75 3 0 0 -> 3 0 1 0 1 1 , 13.56/3.75 5 0 3 -> 3 0 1 1 5 , 13.56/3.75 5 0 3 -> 3 5 0 1 1 , 13.56/3.75 0 4 1 0 -> 0 0 1 1 4 , 13.56/3.75 2 3 0 0 -> 0 1 1 2 3 0 , 13.56/3.75 2 3 0 0 -> 0 1 2 1 3 0 , 13.56/3.75 3 0 0 3 -> 3 0 3 0 1 1 , 13.56/3.75 3 0 2 0 -> 0 3 0 1 2 1 , 13.56/3.75 3 0 5 0 -> 5 0 3 0 1 1 , 13.56/3.75 3 1 0 0 -> 1 1 1 3 0 0 , 13.56/3.75 4 1 0 0 -> 0 0 1 1 4 1 , 13.56/3.75 5 1 0 3 -> 5 3 0 1 1 1 , 13.56/3.75 4 0 1 0 3 -> 4 0 3 0 1 1 , 13.56/3.75 4 1 4 4 0 -> 4 0 4 1 1 4 , 13.56/3.75 4 4 5 0 0 -> 4 4 0 1 5 0 } 13.56/3.75 13.56/3.75 13.56/3.75 The system was filtered by the following matrix interpretation 13.56/3.75 of type E_J with J = {1,...,2} and dimension 4: 13.56/3.75 13.56/3.75 0 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 | 13.56/3.75 | 0 1 0 0 | 13.56/3.75 | 0 0 0 0 | 13.56/3.75 | 0 1 0 0 | 13.56/3.75 \ / 13.56/3.75 1 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 | 13.56/3.75 | 0 1 0 0 | 13.56/3.75 | 0 0 0 0 | 13.56/3.75 | 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 2 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 1 0 | 13.56/3.75 | 0 1 0 0 | 13.56/3.75 | 0 0 0 0 | 13.56/3.75 | 0 1 0 0 | 13.56/3.75 \ / 13.56/3.75 3 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 | 13.56/3.75 | 0 1 0 0 | 13.56/3.75 | 0 0 0 1 | 13.56/3.75 | 0 0 0 1 | 13.56/3.75 \ / 13.56/3.75 4 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 | 13.56/3.75 | 0 1 0 0 | 13.56/3.75 | 0 0 0 0 | 13.56/3.75 | 0 1 0 0 | 13.56/3.75 \ / 13.56/3.75 5 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 | 13.56/3.75 | 0 1 0 0 | 13.56/3.75 | 0 1 0 0 | 13.56/3.75 | 0 1 0 0 | 13.56/3.75 \ / 13.56/3.75 13.56/3.75 Remains to prove termination of the 19-rule system 13.56/3.75 { 0 0 -> 0 1 2 0 1 1 , 13.56/3.75 0 0 -> 1 0 1 0 1 1 , 13.56/3.75 3 0 -> 1 0 1 1 1 3 , 13.56/3.75 0 0 0 -> 0 0 1 1 0 , 13.56/3.75 0 0 3 -> 0 3 1 0 1 1 , 13.56/3.75 3 0 0 -> 3 0 1 0 1 1 , 13.56/3.75 5 0 3 -> 3 0 1 1 5 , 13.56/3.75 5 0 3 -> 3 5 0 1 1 , 13.56/3.75 0 4 1 0 -> 0 0 1 1 4 , 13.56/3.75 2 3 0 0 -> 0 1 1 2 3 0 , 13.56/3.75 3 0 0 3 -> 3 0 3 0 1 1 , 13.56/3.75 3 0 2 0 -> 0 3 0 1 2 1 , 13.56/3.75 3 0 5 0 -> 5 0 3 0 1 1 , 13.56/3.75 3 1 0 0 -> 1 1 1 3 0 0 , 13.56/3.75 4 1 0 0 -> 0 0 1 1 4 1 , 13.56/3.75 5 1 0 3 -> 5 3 0 1 1 1 , 13.56/3.75 4 0 1 0 3 -> 4 0 3 0 1 1 , 13.56/3.75 4 1 4 4 0 -> 4 0 4 1 1 4 , 13.56/3.75 4 4 5 0 0 -> 4 4 0 1 5 0 } 13.56/3.75 13.56/3.75 13.56/3.75 The system was filtered by the following matrix interpretation 13.56/3.75 of type E_J with J = {1,...,2} and dimension 5: 13.56/3.75 13.56/3.75 0 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 1 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 | 0 0 0 1 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 \ / 13.56/3.75 1 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 2 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 1 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 \ / 13.56/3.75 3 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 1 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 1 0 0 | 13.56/3.75 \ / 13.56/3.75 4 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 \ / 13.56/3.75 5 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 13.56/3.75 Remains to prove termination of the 18-rule system 13.56/3.75 { 0 0 -> 0 1 2 0 1 1 , 13.56/3.75 0 0 -> 1 0 1 0 1 1 , 13.56/3.75 3 0 -> 1 0 1 1 1 3 , 13.56/3.75 0 0 0 -> 0 0 1 1 0 , 13.56/3.75 0 0 3 -> 0 3 1 0 1 1 , 13.56/3.75 3 0 0 -> 3 0 1 0 1 1 , 13.56/3.75 5 0 3 -> 3 0 1 1 5 , 13.56/3.75 5 0 3 -> 3 5 0 1 1 , 13.56/3.75 0 4 1 0 -> 0 0 1 1 4 , 13.56/3.75 2 3 0 0 -> 0 1 1 2 3 0 , 13.56/3.75 3 0 0 3 -> 3 0 3 0 1 1 , 13.56/3.75 3 0 5 0 -> 5 0 3 0 1 1 , 13.56/3.75 3 1 0 0 -> 1 1 1 3 0 0 , 13.56/3.75 4 1 0 0 -> 0 0 1 1 4 1 , 13.56/3.75 5 1 0 3 -> 5 3 0 1 1 1 , 13.56/3.75 4 0 1 0 3 -> 4 0 3 0 1 1 , 13.56/3.75 4 1 4 4 0 -> 4 0 4 1 1 4 , 13.56/3.75 4 4 5 0 0 -> 4 4 0 1 5 0 } 13.56/3.75 13.56/3.75 13.56/3.75 The system was filtered by the following matrix interpretation 13.56/3.75 of type E_J with J = {1,...,2} and dimension 4: 13.56/3.75 13.56/3.75 0 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 1 0 | 13.56/3.75 | 0 1 0 0 | 13.56/3.75 | 0 0 1 1 | 13.56/3.75 | 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 1 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 | 13.56/3.75 | 0 1 0 0 | 13.56/3.75 | 0 0 0 0 | 13.56/3.75 | 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 2 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 | 13.56/3.75 | 0 1 0 0 | 13.56/3.75 | 0 0 0 0 | 13.56/3.75 | 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 3 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 | 13.56/3.75 | 0 1 0 0 | 13.56/3.75 | 0 0 0 0 | 13.56/3.75 | 0 1 0 0 | 13.56/3.75 \ / 13.56/3.75 4 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 | 13.56/3.75 | 0 1 0 0 | 13.56/3.75 | 0 0 0 0 | 13.56/3.75 | 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 5 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 | 13.56/3.75 | 0 1 0 0 | 13.56/3.75 | 0 0 0 0 | 13.56/3.75 | 0 1 0 0 | 13.56/3.75 \ / 13.56/3.75 13.56/3.75 Remains to prove termination of the 16-rule system 13.56/3.75 { 0 0 -> 0 1 2 0 1 1 , 13.56/3.75 0 0 -> 1 0 1 0 1 1 , 13.56/3.75 3 0 -> 1 0 1 1 1 3 , 13.56/3.75 0 0 0 -> 0 0 1 1 0 , 13.56/3.75 3 0 0 -> 3 0 1 0 1 1 , 13.56/3.75 5 0 3 -> 3 0 1 1 5 , 13.56/3.75 5 0 3 -> 3 5 0 1 1 , 13.56/3.75 0 4 1 0 -> 0 0 1 1 4 , 13.56/3.75 2 3 0 0 -> 0 1 1 2 3 0 , 13.56/3.75 3 0 5 0 -> 5 0 3 0 1 1 , 13.56/3.75 3 1 0 0 -> 1 1 1 3 0 0 , 13.56/3.75 4 1 0 0 -> 0 0 1 1 4 1 , 13.56/3.75 5 1 0 3 -> 5 3 0 1 1 1 , 13.56/3.75 4 0 1 0 3 -> 4 0 3 0 1 1 , 13.56/3.75 4 1 4 4 0 -> 4 0 4 1 1 4 , 13.56/3.75 4 4 5 0 0 -> 4 4 0 1 5 0 } 13.56/3.75 13.56/3.75 13.56/3.75 The system was filtered by the following matrix interpretation 13.56/3.75 of type E_J with J = {1,...,2} and dimension 3: 13.56/3.75 13.56/3.75 0 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 1 | 13.56/3.75 | 0 1 0 | 13.56/3.75 | 0 1 0 | 13.56/3.75 \ / 13.56/3.75 1 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 | 13.56/3.75 | 0 1 0 | 13.56/3.75 | 0 0 0 | 13.56/3.75 \ / 13.56/3.75 2 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 | 13.56/3.75 | 0 1 0 | 13.56/3.75 | 1 0 0 | 13.56/3.75 \ / 13.56/3.75 3 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 | 13.56/3.75 | 0 1 0 | 13.56/3.75 | 0 0 0 | 13.56/3.75 \ / 13.56/3.75 4 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 1 | 13.56/3.75 | 0 1 0 | 13.56/3.75 | 0 1 0 | 13.56/3.75 \ / 13.56/3.75 5 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 | 13.56/3.75 | 0 1 0 | 13.56/3.75 | 0 0 0 | 13.56/3.75 \ / 13.56/3.75 13.56/3.75 Remains to prove termination of the 11-rule system 13.56/3.75 { 3 0 -> 1 0 1 1 1 3 , 13.56/3.75 5 0 3 -> 3 0 1 1 5 , 13.56/3.75 5 0 3 -> 3 5 0 1 1 , 13.56/3.75 0 4 1 0 -> 0 0 1 1 4 , 13.56/3.75 3 0 5 0 -> 5 0 3 0 1 1 , 13.56/3.75 3 1 0 0 -> 1 1 1 3 0 0 , 13.56/3.75 4 1 0 0 -> 0 0 1 1 4 1 , 13.56/3.75 5 1 0 3 -> 5 3 0 1 1 1 , 13.56/3.75 4 0 1 0 3 -> 4 0 3 0 1 1 , 13.56/3.75 4 1 4 4 0 -> 4 0 4 1 1 4 , 13.56/3.75 4 4 5 0 0 -> 4 4 0 1 5 0 } 13.56/3.75 13.56/3.75 13.56/3.75 The system was filtered by the following matrix interpretation 13.56/3.75 of type E_J with J = {1,...,2} and dimension 5: 13.56/3.75 13.56/3.75 0 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 1 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 \ / 13.56/3.75 1 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 1 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 2 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 3 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 1 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 4 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 | 0 0 0 1 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 \ / 13.56/3.75 5 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 13.56/3.75 Remains to prove termination of the 10-rule system 13.56/3.75 { 3 0 -> 1 0 1 1 1 3 , 13.56/3.75 5 0 3 -> 3 0 1 1 5 , 13.56/3.75 5 0 3 -> 3 5 0 1 1 , 13.56/3.75 3 0 5 0 -> 5 0 3 0 1 1 , 13.56/3.75 3 1 0 0 -> 1 1 1 3 0 0 , 13.56/3.75 4 1 0 0 -> 0 0 1 1 4 1 , 13.56/3.75 5 1 0 3 -> 5 3 0 1 1 1 , 13.56/3.75 4 0 1 0 3 -> 4 0 3 0 1 1 , 13.56/3.75 4 1 4 4 0 -> 4 0 4 1 1 4 , 13.56/3.75 4 4 5 0 0 -> 4 4 0 1 5 0 } 13.56/3.75 13.56/3.75 13.56/3.75 The system was filtered by the following matrix interpretation 13.56/3.75 of type E_J with J = {1,...,2} and dimension 5: 13.56/3.75 13.56/3.75 0 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 1 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 | 0 0 0 1 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 \ / 13.56/3.75 1 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 2 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 3 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 1 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 4 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 \ / 13.56/3.75 5 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 1 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 13.56/3.75 Remains to prove termination of the 9-rule system 13.56/3.75 { 3 0 -> 1 0 1 1 1 3 , 13.56/3.75 5 0 3 -> 3 0 1 1 5 , 13.56/3.75 5 0 3 -> 3 5 0 1 1 , 13.56/3.75 3 1 0 0 -> 1 1 1 3 0 0 , 13.56/3.75 4 1 0 0 -> 0 0 1 1 4 1 , 13.56/3.75 5 1 0 3 -> 5 3 0 1 1 1 , 13.56/3.75 4 0 1 0 3 -> 4 0 3 0 1 1 , 13.56/3.75 4 1 4 4 0 -> 4 0 4 1 1 4 , 13.56/3.75 4 4 5 0 0 -> 4 4 0 1 5 0 } 13.56/3.75 13.56/3.75 13.56/3.75 The system was filtered by the following matrix interpretation 13.56/3.75 of type E_J with J = {1,...,2} and dimension 5: 13.56/3.75 13.56/3.75 0 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 1 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 1 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 1 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 | 0 0 0 1 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 2 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 3 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 1 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 \ / 13.56/3.75 4 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 5 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 1 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 \ / 13.56/3.75 13.56/3.75 Remains to prove termination of the 7-rule system 13.56/3.75 { 3 0 -> 1 0 1 1 1 3 , 13.56/3.75 5 0 3 -> 3 0 1 1 5 , 13.56/3.75 5 0 3 -> 3 5 0 1 1 , 13.56/3.75 3 1 0 0 -> 1 1 1 3 0 0 , 13.56/3.75 4 1 0 0 -> 0 0 1 1 4 1 , 13.56/3.75 4 1 4 4 0 -> 4 0 4 1 1 4 , 13.56/3.75 4 4 5 0 0 -> 4 4 0 1 5 0 } 13.56/3.75 13.56/3.75 13.56/3.75 The system was filtered by the following matrix interpretation 13.56/3.75 of type E_J with J = {1,...,2} and dimension 5: 13.56/3.75 13.56/3.75 0 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 1 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 1 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 \ / 13.56/3.75 1 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 | 0 0 0 1 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 2 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 3 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 1 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 4 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 \ / 13.56/3.75 5 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 13.56/3.75 Remains to prove termination of the 6-rule system 13.56/3.75 { 3 0 -> 1 0 1 1 1 3 , 13.56/3.75 5 0 3 -> 3 0 1 1 5 , 13.56/3.75 5 0 3 -> 3 5 0 1 1 , 13.56/3.75 4 1 0 0 -> 0 0 1 1 4 1 , 13.56/3.75 4 1 4 4 0 -> 4 0 4 1 1 4 , 13.56/3.75 4 4 5 0 0 -> 4 4 0 1 5 0 } 13.56/3.75 13.56/3.75 13.56/3.75 The system was filtered by the following matrix interpretation 13.56/3.75 of type E_J with J = {1,...,2} and dimension 3: 13.56/3.75 13.56/3.75 0 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 1 | 13.56/3.75 | 0 1 0 | 13.56/3.75 | 0 1 0 | 13.56/3.75 \ / 13.56/3.75 1 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 | 13.56/3.75 | 0 1 0 | 13.56/3.75 | 0 0 0 | 13.56/3.75 \ / 13.56/3.75 2 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 | 13.56/3.75 | 0 1 0 | 13.56/3.75 | 0 0 0 | 13.56/3.75 \ / 13.56/3.75 3 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 1 | 13.56/3.75 | 0 1 0 | 13.56/3.75 | 0 0 0 | 13.56/3.75 \ / 13.56/3.75 4 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 1 | 13.56/3.75 | 0 1 0 | 13.56/3.75 | 0 1 0 | 13.56/3.75 \ / 13.56/3.75 5 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 1 | 13.56/3.75 | 0 1 0 | 13.56/3.75 | 0 0 0 | 13.56/3.75 \ / 13.56/3.75 13.56/3.75 Remains to prove termination of the 5-rule system 13.56/3.75 { 5 0 3 -> 3 0 1 1 5 , 13.56/3.75 5 0 3 -> 3 5 0 1 1 , 13.56/3.75 4 1 0 0 -> 0 0 1 1 4 1 , 13.56/3.75 4 1 4 4 0 -> 4 0 4 1 1 4 , 13.56/3.75 4 4 5 0 0 -> 4 4 0 1 5 0 } 13.56/3.75 13.56/3.75 13.56/3.75 The system was filtered by the following matrix interpretation 13.56/3.75 of type E_J with J = {1,...,2} and dimension 6: 13.56/3.75 13.56/3.75 0 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 1 0 0 0 | 13.56/3.75 | 0 1 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 1 | 13.56/3.75 | 0 1 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 1 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 2 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 3 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 4 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 1 0 0 0 | 13.56/3.75 | 0 1 0 0 0 0 | 13.56/3.75 | 0 0 0 1 0 0 | 13.56/3.75 | 0 0 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 5 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 1 0 | 13.56/3.75 | 0 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 13.56/3.75 Remains to prove termination of the 4-rule system 13.56/3.75 { 5 0 3 -> 3 0 1 1 5 , 13.56/3.75 5 0 3 -> 3 5 0 1 1 , 13.56/3.75 4 1 0 0 -> 0 0 1 1 4 1 , 13.56/3.75 4 1 4 4 0 -> 4 0 4 1 1 4 } 13.56/3.75 13.56/3.75 13.56/3.75 The system was filtered by the following matrix interpretation 13.56/3.75 of type E_J with J = {1,...,2} and dimension 4: 13.56/3.75 13.56/3.75 0 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 | 13.56/3.75 | 0 1 0 0 | 13.56/3.75 | 0 0 0 1 | 13.56/3.75 | 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 1 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 | 13.56/3.75 | 0 1 0 0 | 13.56/3.75 | 0 0 0 0 | 13.56/3.75 | 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 2 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 | 13.56/3.75 | 0 1 0 0 | 13.56/3.75 | 0 0 0 0 | 13.56/3.75 | 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 3 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 1 0 | 13.56/3.75 | 0 1 0 0 | 13.56/3.75 | 0 0 0 0 | 13.56/3.75 | 0 1 0 0 | 13.56/3.75 \ / 13.56/3.75 4 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 | 13.56/3.75 | 0 1 0 0 | 13.56/3.75 | 0 0 0 0 | 13.56/3.75 | 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 5 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 1 0 | 13.56/3.75 | 0 1 0 0 | 13.56/3.75 | 0 0 0 0 | 13.56/3.75 | 0 1 0 0 | 13.56/3.75 \ / 13.56/3.75 13.56/3.75 Remains to prove termination of the 2-rule system 13.56/3.75 { 4 1 0 0 -> 0 0 1 1 4 1 , 13.56/3.75 4 1 4 4 0 -> 4 0 4 1 1 4 } 13.56/3.75 13.56/3.75 13.56/3.75 The system was filtered by the following matrix interpretation 13.56/3.75 of type E_J with J = {1,...,2} and dimension 5: 13.56/3.75 13.56/3.75 0 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 1 1 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 1 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 \ / 13.56/3.75 1 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 | 0 0 0 1 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 2 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 3 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 4 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 1 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 \ / 13.56/3.75 5 is interpreted by 13.56/3.75 / \ 13.56/3.75 | 1 0 0 0 0 | 13.56/3.75 | 0 1 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 | 0 0 0 0 0 | 13.56/3.75 \ / 13.56/3.75 13.56/3.75 Remains to prove termination of the 1-rule system 13.56/3.75 { 4 1 4 4 0 -> 4 0 4 1 1 4 } 13.56/3.75 13.56/3.75 13.56/3.75 The system was filtered by the following matrix interpretation 13.56/3.75 of type E_J with J = {1,...,2} and dimension 6: 13.56/3.75 13.56/3.76 0 is interpreted by 13.56/3.76 / \ 13.56/3.76 | 1 0 1 0 0 0 | 13.56/3.76 | 0 1 0 0 0 0 | 13.56/3.76 | 0 0 0 0 0 0 | 13.56/3.76 | 0 0 0 0 0 0 | 13.56/3.76 | 0 0 0 0 0 0 | 13.56/3.76 | 0 1 0 0 0 0 | 13.56/3.76 \ / 13.56/3.76 1 is interpreted by 13.56/3.76 / \ 13.56/3.76 | 1 0 0 0 0 0 | 13.56/3.76 | 0 1 0 0 0 0 | 13.56/3.76 | 0 0 0 1 0 0 | 13.56/3.76 | 0 0 0 0 0 0 | 13.56/3.76 | 0 0 0 0 0 0 | 13.56/3.76 | 0 0 0 0 0 0 | 13.56/3.76 \ / 13.56/3.76 2 is interpreted by 13.56/3.76 / \ 13.56/3.76 | 1 0 0 0 0 0 | 13.56/3.76 | 0 1 0 0 0 0 | 13.56/3.76 | 0 0 0 0 0 0 | 13.56/3.76 | 0 0 0 0 0 0 | 13.56/3.76 | 0 0 0 0 0 0 | 13.56/3.76 | 0 0 0 0 0 0 | 13.56/3.76 \ / 13.56/3.76 3 is interpreted by 13.56/3.76 / \ 13.56/3.76 | 1 0 0 0 0 0 | 13.56/3.76 | 0 1 0 0 0 0 | 13.56/3.76 | 0 0 0 0 0 0 | 13.56/3.76 | 0 0 0 0 0 0 | 13.56/3.76 | 0 0 0 0 0 0 | 13.56/3.76 | 0 0 0 0 0 0 | 13.56/3.76 \ / 13.56/3.76 4 is interpreted by 13.56/3.76 / \ 13.56/3.76 | 1 0 1 0 0 0 | 13.56/3.76 | 0 1 0 0 0 0 | 13.56/3.76 | 0 0 0 0 0 0 | 13.56/3.76 | 0 0 0 0 1 0 | 13.56/3.76 | 0 0 1 0 0 1 | 13.56/3.76 | 0 0 0 0 0 0 | 13.56/3.76 \ / 13.56/3.76 5 is interpreted by 13.56/3.76 / \ 13.56/3.76 | 1 0 0 0 0 0 | 13.56/3.76 | 0 1 0 0 0 0 | 13.56/3.76 | 0 0 0 0 0 0 | 13.56/3.76 | 0 0 0 0 0 0 | 13.56/3.76 | 0 0 0 0 0 0 | 13.56/3.76 | 0 0 0 0 0 0 | 13.56/3.76 \ / 13.56/3.76 13.56/3.76 Remains to prove termination of the 0-rule system 13.56/3.76 { } 13.56/3.76 13.56/3.76 13.56/3.76 The system is trivially terminating. 13.56/3.78 EOF