5.42/1.63 YES 6.37/1.82 6.37/1.82 6.37/1.82 The system was filtered by the following matrix interpretation 6.37/1.82 of type E_J with J = {1,...,2} and dimension 9: 6.37/1.82 6.37/1.82 2 is interpreted by 6.37/1.82 / \ 6.37/1.82 | 1 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 1 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 1 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 1 0 0 0 0 0 0 0 | 6.37/1.82 \ / 6.37/1.82 5 is interpreted by 6.37/1.82 / \ 6.37/1.82 | 1 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 1 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 1 0 0 0 0 0 | 6.37/1.82 | 0 0 0 1 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 1 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 1 | 6.37/1.82 | 0 0 0 1 0 0 0 0 0 | 6.37/1.82 \ / 6.37/1.82 1 is interpreted by 6.37/1.82 / \ 6.37/1.82 | 1 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 1 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 1 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 0 | 6.37/1.82 \ / 6.37/1.82 0 is interpreted by 6.37/1.82 / \ 6.37/1.82 | 1 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 1 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 0 | 6.37/1.82 \ / 6.37/1.82 3 is interpreted by 6.37/1.82 / \ 6.37/1.82 | 1 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 1 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 1 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 1 0 0 0 0 | 6.37/1.82 \ / 6.37/1.82 4 is interpreted by 6.37/1.82 / \ 6.37/1.82 | 1 0 1 0 0 0 0 0 0 | 6.37/1.82 | 0 1 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 1 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 0 | 6.37/1.82 \ / 6.37/1.82 6.37/1.82 Remains to prove termination of the 25-rule system 6.37/1.82 { 2 2 -> 5 1 1 0 1 3 2 1 1 2 , 6.37/1.82 2 2 2 -> 5 3 0 1 3 4 3 2 0 5 , 6.37/1.82 2 2 4 -> 5 1 0 1 3 5 5 0 4 1 , 6.37/1.82 2 2 2 2 -> 4 1 2 0 4 4 4 3 5 5 , 6.37/1.82 2 2 4 4 -> 2 0 0 1 3 2 1 4 2 4 , 6.37/1.82 2 2 4 5 -> 4 3 3 0 4 0 2 5 1 2 , 6.37/1.82 2 0 2 2 3 -> 4 0 1 5 5 0 2 1 2 1 , 6.37/1.82 2 2 4 5 4 -> 5 0 2 4 0 1 3 5 3 4 , 6.37/1.82 2 4 2 2 2 -> 0 4 2 1 1 0 1 1 5 5 , 6.37/1.82 4 2 2 5 3 -> 3 3 4 0 5 5 5 0 0 1 , 6.37/1.82 4 2 3 2 5 -> 1 4 3 0 4 0 3 5 1 2 , 6.37/1.82 5 2 5 2 4 -> 2 5 5 1 1 3 5 0 3 1 , 6.37/1.82 5 5 4 4 2 -> 5 5 0 3 2 0 1 4 1 2 , 6.37/1.82 1 4 4 2 4 4 -> 4 1 0 1 5 4 3 4 1 4 , 6.37/1.82 2 2 2 3 4 1 -> 0 3 1 3 5 0 4 2 0 3 , 6.37/1.82 2 2 2 5 0 0 -> 5 5 1 2 3 3 5 0 4 3 , 6.37/1.82 3 2 2 4 5 4 -> 3 3 2 0 5 5 3 5 4 1 , 6.37/1.82 5 1 0 3 2 2 -> 4 1 0 5 4 3 1 2 0 5 , 6.37/1.82 5 2 4 1 2 2 -> 3 5 4 0 5 3 3 3 1 1 , 6.37/1.82 5 3 2 2 4 1 -> 1 2 1 1 5 5 3 3 4 1 , 6.37/1.82 0 0 5 4 5 3 4 -> 5 5 1 5 5 2 2 0 0 4 , 6.37/1.82 2 2 5 4 5 4 4 -> 5 5 4 0 1 4 5 0 4 0 , 6.37/1.82 2 4 2 2 2 1 4 -> 3 4 4 1 3 1 5 3 2 2 , 6.37/1.82 5 1 0 2 2 2 0 -> 1 5 4 5 4 4 3 2 1 3 , 6.37/1.82 5 4 0 0 2 2 3 -> 4 3 3 0 3 4 0 0 2 1 } 6.37/1.82 6.37/1.82 6.37/1.82 The system was filtered by the following matrix interpretation 6.37/1.82 of type E_J with J = {1,...,2} and dimension 5: 6.37/1.82 6.37/1.82 2 is interpreted by 6.37/1.82 / \ 6.37/1.82 | 1 0 1 0 0 | 6.37/1.82 | 0 1 0 0 0 | 6.37/1.82 | 0 0 0 1 0 | 6.37/1.82 | 0 0 0 0 1 | 6.37/1.82 | 0 1 0 0 0 | 6.37/1.82 \ / 6.37/1.82 5 is interpreted by 6.37/1.82 / \ 6.37/1.82 | 1 0 1 0 0 | 6.37/1.82 | 0 1 0 0 0 | 6.37/1.82 | 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 1 | 6.37/1.82 \ / 6.37/1.82 1 is interpreted by 6.37/1.82 / \ 6.37/1.82 | 1 0 0 0 0 | 6.37/1.82 | 0 1 0 0 0 | 6.37/1.82 | 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 | 6.37/1.82 \ / 6.37/1.82 0 is interpreted by 6.37/1.82 / \ 6.37/1.82 | 1 0 0 0 0 | 6.37/1.82 | 0 1 0 0 0 | 6.37/1.82 | 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 | 6.37/1.82 \ / 6.37/1.82 3 is interpreted by 6.37/1.82 / \ 6.37/1.82 | 1 0 0 0 0 | 6.37/1.82 | 0 1 0 0 0 | 6.37/1.82 | 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 | 6.37/1.82 \ / 6.37/1.82 4 is interpreted by 6.37/1.82 / \ 6.37/1.82 | 1 0 1 1 0 | 6.37/1.82 | 0 1 0 0 0 | 6.37/1.82 | 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 | 6.37/1.82 \ / 6.37/1.82 6.37/1.82 Remains to prove termination of the 21-rule system 6.37/1.82 { 2 2 -> 5 1 1 0 1 3 2 1 1 2 , 6.37/1.82 2 2 2 -> 5 3 0 1 3 4 3 2 0 5 , 6.37/1.82 2 2 4 -> 5 1 0 1 3 5 5 0 4 1 , 6.37/1.82 2 2 4 4 -> 2 0 0 1 3 2 1 4 2 4 , 6.37/1.82 2 2 4 5 -> 4 3 3 0 4 0 2 5 1 2 , 6.37/1.82 2 0 2 2 3 -> 4 0 1 5 5 0 2 1 2 1 , 6.37/1.82 2 2 4 5 4 -> 5 0 2 4 0 1 3 5 3 4 , 6.37/1.82 4 2 3 2 5 -> 1 4 3 0 4 0 3 5 1 2 , 6.37/1.82 5 2 5 2 4 -> 2 5 5 1 1 3 5 0 3 1 , 6.37/1.82 5 5 4 4 2 -> 5 5 0 3 2 0 1 4 1 2 , 6.37/1.82 1 4 4 2 4 4 -> 4 1 0 1 5 4 3 4 1 4 , 6.37/1.82 2 2 2 3 4 1 -> 0 3 1 3 5 0 4 2 0 3 , 6.37/1.82 2 2 2 5 0 0 -> 5 5 1 2 3 3 5 0 4 3 , 6.37/1.82 3 2 2 4 5 4 -> 3 3 2 0 5 5 3 5 4 1 , 6.37/1.82 5 1 0 3 2 2 -> 4 1 0 5 4 3 1 2 0 5 , 6.37/1.82 5 2 4 1 2 2 -> 3 5 4 0 5 3 3 3 1 1 , 6.37/1.82 5 3 2 2 4 1 -> 1 2 1 1 5 5 3 3 4 1 , 6.37/1.82 0 0 5 4 5 3 4 -> 5 5 1 5 5 2 2 0 0 4 , 6.37/1.82 2 2 5 4 5 4 4 -> 5 5 4 0 1 4 5 0 4 0 , 6.37/1.82 5 1 0 2 2 2 0 -> 1 5 4 5 4 4 3 2 1 3 , 6.37/1.82 5 4 0 0 2 2 3 -> 4 3 3 0 3 4 0 0 2 1 } 6.37/1.82 6.37/1.82 6.37/1.82 The system was filtered by the following matrix interpretation 6.37/1.82 of type E_J with J = {1,...,2} and dimension 6: 6.37/1.82 6.37/1.82 2 is interpreted by 6.37/1.82 / \ 6.37/1.82 | 1 0 1 0 0 0 | 6.37/1.82 | 0 1 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 | 6.37/1.82 | 0 1 0 0 0 0 | 6.37/1.82 \ / 6.37/1.82 5 is interpreted by 6.37/1.82 / \ 6.37/1.82 | 1 0 1 0 0 0 | 6.37/1.82 | 0 1 0 0 0 0 | 6.37/1.82 | 0 0 0 1 0 0 | 6.37/1.82 | 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 1 | 6.37/1.82 \ / 6.37/1.82 1 is interpreted by 6.37/1.82 / \ 6.37/1.82 | 1 0 0 0 0 0 | 6.37/1.82 | 0 1 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 | 6.37/1.82 \ / 6.37/1.82 0 is interpreted by 6.37/1.82 / \ 6.37/1.82 | 1 0 0 0 0 0 | 6.37/1.82 | 0 1 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 | 6.37/1.82 \ / 6.37/1.82 3 is interpreted by 6.37/1.82 / \ 6.37/1.82 | 1 0 0 0 0 0 | 6.37/1.82 | 0 1 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 | 6.37/1.82 \ / 6.37/1.82 4 is interpreted by 6.37/1.82 / \ 6.37/1.82 | 1 0 0 0 0 0 | 6.37/1.82 | 0 1 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 1 0 | 6.37/1.82 | 0 0 0 0 0 1 | 6.37/1.82 | 0 0 0 0 0 0 | 6.37/1.82 \ / 6.37/1.82 6.37/1.82 Remains to prove termination of the 20-rule system 6.37/1.82 { 2 2 -> 5 1 1 0 1 3 2 1 1 2 , 6.37/1.82 2 2 2 -> 5 3 0 1 3 4 3 2 0 5 , 6.37/1.82 2 2 4 -> 5 1 0 1 3 5 5 0 4 1 , 6.37/1.82 2 2 4 4 -> 2 0 0 1 3 2 1 4 2 4 , 6.37/1.82 2 2 4 5 -> 4 3 3 0 4 0 2 5 1 2 , 6.37/1.82 2 0 2 2 3 -> 4 0 1 5 5 0 2 1 2 1 , 6.37/1.82 2 2 4 5 4 -> 5 0 2 4 0 1 3 5 3 4 , 6.37/1.82 4 2 3 2 5 -> 1 4 3 0 4 0 3 5 1 2 , 6.37/1.82 5 2 5 2 4 -> 2 5 5 1 1 3 5 0 3 1 , 6.37/1.82 1 4 4 2 4 4 -> 4 1 0 1 5 4 3 4 1 4 , 6.37/1.82 2 2 2 3 4 1 -> 0 3 1 3 5 0 4 2 0 3 , 6.37/1.82 2 2 2 5 0 0 -> 5 5 1 2 3 3 5 0 4 3 , 6.37/1.82 3 2 2 4 5 4 -> 3 3 2 0 5 5 3 5 4 1 , 6.37/1.82 5 1 0 3 2 2 -> 4 1 0 5 4 3 1 2 0 5 , 6.37/1.82 5 2 4 1 2 2 -> 3 5 4 0 5 3 3 3 1 1 , 6.37/1.82 5 3 2 2 4 1 -> 1 2 1 1 5 5 3 3 4 1 , 6.37/1.82 0 0 5 4 5 3 4 -> 5 5 1 5 5 2 2 0 0 4 , 6.37/1.82 2 2 5 4 5 4 4 -> 5 5 4 0 1 4 5 0 4 0 , 6.37/1.82 5 1 0 2 2 2 0 -> 1 5 4 5 4 4 3 2 1 3 , 6.37/1.82 5 4 0 0 2 2 3 -> 4 3 3 0 3 4 0 0 2 1 } 6.37/1.82 6.37/1.82 6.37/1.82 The system was filtered by the following matrix interpretation 6.37/1.82 of type E_J with J = {1,...,2} and dimension 8: 6.37/1.82 6.37/1.82 2 is interpreted by 6.37/1.82 / \ 6.37/1.82 | 1 0 1 0 0 0 0 0 | 6.37/1.82 | 0 1 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 1 0 0 0 0 | 6.37/1.82 | 0 1 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 1 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 1 | 6.37/1.82 | 0 0 0 0 0 0 0 0 | 6.37/1.82 \ / 6.37/1.82 5 is interpreted by 6.37/1.82 / \ 6.37/1.82 | 1 0 0 0 0 0 0 0 | 6.37/1.82 | 0 1 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 1 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 1 0 0 0 0 0 | 6.37/1.82 \ / 6.37/1.82 1 is interpreted by 6.37/1.82 / \ 6.37/1.82 | 1 0 0 0 0 0 0 0 | 6.37/1.82 | 0 1 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 | 6.37/1.82 \ / 6.37/1.82 0 is interpreted by 6.37/1.82 / \ 6.37/1.82 | 1 0 0 0 0 0 0 0 | 6.37/1.82 | 0 1 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 | 6.37/1.82 \ / 6.37/1.82 3 is interpreted by 6.37/1.82 / \ 6.37/1.82 | 1 0 0 0 0 0 0 0 | 6.37/1.82 | 0 1 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 1 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 | 6.37/1.82 \ / 6.37/1.82 4 is interpreted by 6.37/1.82 / \ 6.37/1.82 | 1 0 0 0 1 0 0 1 | 6.37/1.82 | 0 1 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 | 6.37/1.82 \ / 6.37/1.82 6.37/1.82 Remains to prove termination of the 16-rule system 6.37/1.82 { 2 2 -> 5 1 1 0 1 3 2 1 1 2 , 6.37/1.82 2 2 4 -> 5 1 0 1 3 5 5 0 4 1 , 6.37/1.82 2 2 4 4 -> 2 0 0 1 3 2 1 4 2 4 , 6.37/1.82 2 2 4 5 -> 4 3 3 0 4 0 2 5 1 2 , 6.37/1.82 2 0 2 2 3 -> 4 0 1 5 5 0 2 1 2 1 , 6.37/1.82 2 2 4 5 4 -> 5 0 2 4 0 1 3 5 3 4 , 6.37/1.82 4 2 3 2 5 -> 1 4 3 0 4 0 3 5 1 2 , 6.37/1.82 5 2 5 2 4 -> 2 5 5 1 1 3 5 0 3 1 , 6.37/1.82 1 4 4 2 4 4 -> 4 1 0 1 5 4 3 4 1 4 , 6.37/1.82 3 2 2 4 5 4 -> 3 3 2 0 5 5 3 5 4 1 , 6.37/1.82 5 1 0 3 2 2 -> 4 1 0 5 4 3 1 2 0 5 , 6.37/1.82 5 2 4 1 2 2 -> 3 5 4 0 5 3 3 3 1 1 , 6.37/1.82 5 3 2 2 4 1 -> 1 2 1 1 5 5 3 3 4 1 , 6.37/1.82 0 0 5 4 5 3 4 -> 5 5 1 5 5 2 2 0 0 4 , 6.37/1.82 2 2 5 4 5 4 4 -> 5 5 4 0 1 4 5 0 4 0 , 6.37/1.82 5 4 0 0 2 2 3 -> 4 3 3 0 3 4 0 0 2 1 } 6.37/1.82 6.37/1.82 6.37/1.82 The system was filtered by the following matrix interpretation 6.37/1.82 of type E_J with J = {1,...,2} and dimension 7: 6.37/1.82 6.37/1.82 2 is interpreted by 6.37/1.82 / \ 6.37/1.82 | 1 0 0 0 0 0 0 | 6.37/1.82 | 0 1 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 1 | 6.37/1.82 | 0 1 1 0 0 0 0 | 6.37/1.82 \ / 6.37/1.82 5 is interpreted by 6.37/1.82 / \ 6.37/1.82 | 1 0 1 0 0 0 0 | 6.37/1.82 | 0 1 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 1 | 6.37/1.82 \ / 6.37/1.82 1 is interpreted by 6.37/1.82 / \ 6.37/1.82 | 1 0 0 0 0 0 0 | 6.37/1.82 | 0 1 0 0 0 0 0 | 6.37/1.82 | 0 0 0 1 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 | 6.37/1.82 \ / 6.37/1.82 0 is interpreted by 6.37/1.82 / \ 6.37/1.82 | 1 0 0 0 0 0 0 | 6.37/1.82 | 0 1 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 1 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 | 6.37/1.82 \ / 6.37/1.82 3 is interpreted by 6.37/1.82 / \ 6.37/1.82 | 1 0 0 0 0 0 0 | 6.37/1.82 | 0 1 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 1 0 | 6.37/1.82 | 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 | 6.37/1.82 \ / 6.37/1.82 4 is interpreted by 6.37/1.82 / \ 6.37/1.82 | 1 0 0 0 0 0 0 | 6.37/1.82 | 0 1 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 | 6.37/1.82 \ / 6.37/1.82 6.37/1.82 Remains to prove termination of the 15-rule system 6.37/1.82 { 2 2 -> 5 1 1 0 1 3 2 1 1 2 , 6.37/1.82 2 2 4 -> 5 1 0 1 3 5 5 0 4 1 , 6.37/1.82 2 2 4 4 -> 2 0 0 1 3 2 1 4 2 4 , 6.37/1.82 2 2 4 5 -> 4 3 3 0 4 0 2 5 1 2 , 6.37/1.82 2 0 2 2 3 -> 4 0 1 5 5 0 2 1 2 1 , 6.37/1.82 2 2 4 5 4 -> 5 0 2 4 0 1 3 5 3 4 , 6.37/1.82 4 2 3 2 5 -> 1 4 3 0 4 0 3 5 1 2 , 6.37/1.82 5 2 5 2 4 -> 2 5 5 1 1 3 5 0 3 1 , 6.37/1.82 1 4 4 2 4 4 -> 4 1 0 1 5 4 3 4 1 4 , 6.37/1.82 3 2 2 4 5 4 -> 3 3 2 0 5 5 3 5 4 1 , 6.37/1.82 5 2 4 1 2 2 -> 3 5 4 0 5 3 3 3 1 1 , 6.37/1.82 5 3 2 2 4 1 -> 1 2 1 1 5 5 3 3 4 1 , 6.37/1.82 0 0 5 4 5 3 4 -> 5 5 1 5 5 2 2 0 0 4 , 6.37/1.82 2 2 5 4 5 4 4 -> 5 5 4 0 1 4 5 0 4 0 , 6.37/1.82 5 4 0 0 2 2 3 -> 4 3 3 0 3 4 0 0 2 1 } 6.37/1.82 6.37/1.82 6.37/1.82 The system was filtered by the following matrix interpretation 6.37/1.82 of type E_J with J = {1,...,2} and dimension 7: 6.37/1.82 6.37/1.82 2 is interpreted by 6.37/1.82 / \ 6.37/1.82 | 1 0 0 0 0 0 0 | 6.37/1.82 | 0 1 0 0 0 0 0 | 6.37/1.82 | 0 0 0 1 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 1 | 6.37/1.82 | 0 1 0 0 0 0 0 | 6.37/1.82 \ / 6.37/1.82 5 is interpreted by 6.37/1.82 / \ 6.37/1.82 | 1 0 1 0 0 0 0 | 6.37/1.82 | 0 1 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 1 | 6.37/1.82 \ / 6.37/1.82 1 is interpreted by 6.37/1.82 / \ 6.37/1.82 | 1 0 0 0 0 0 0 | 6.37/1.82 | 0 1 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 1 0 | 6.37/1.82 | 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 | 6.37/1.82 \ / 6.37/1.82 0 is interpreted by 6.37/1.82 / \ 6.37/1.82 | 1 0 0 0 0 0 0 | 6.37/1.82 | 0 1 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 | 6.37/1.82 \ / 6.37/1.82 3 is interpreted by 6.37/1.82 / \ 6.37/1.82 | 1 0 0 0 0 0 0 | 6.37/1.82 | 0 1 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 | 6.37/1.82 \ / 6.37/1.82 4 is interpreted by 6.37/1.82 / \ 6.37/1.82 | 1 0 0 0 0 0 0 | 6.37/1.82 | 0 1 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 1 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 | 6.37/1.82 \ / 6.37/1.82 6.37/1.82 Remains to prove termination of the 14-rule system 6.37/1.82 { 2 2 -> 5 1 1 0 1 3 2 1 1 2 , 6.37/1.82 2 2 4 -> 5 1 0 1 3 5 5 0 4 1 , 6.37/1.82 2 2 4 4 -> 2 0 0 1 3 2 1 4 2 4 , 6.37/1.82 2 2 4 5 -> 4 3 3 0 4 0 2 5 1 2 , 6.37/1.82 2 0 2 2 3 -> 4 0 1 5 5 0 2 1 2 1 , 6.37/1.82 2 2 4 5 4 -> 5 0 2 4 0 1 3 5 3 4 , 6.37/1.82 4 2 3 2 5 -> 1 4 3 0 4 0 3 5 1 2 , 6.37/1.82 5 2 5 2 4 -> 2 5 5 1 1 3 5 0 3 1 , 6.37/1.82 1 4 4 2 4 4 -> 4 1 0 1 5 4 3 4 1 4 , 6.37/1.82 3 2 2 4 5 4 -> 3 3 2 0 5 5 3 5 4 1 , 6.37/1.82 5 3 2 2 4 1 -> 1 2 1 1 5 5 3 3 4 1 , 6.37/1.82 0 0 5 4 5 3 4 -> 5 5 1 5 5 2 2 0 0 4 , 6.37/1.82 2 2 5 4 5 4 4 -> 5 5 4 0 1 4 5 0 4 0 , 6.37/1.82 5 4 0 0 2 2 3 -> 4 3 3 0 3 4 0 0 2 1 } 6.37/1.82 6.37/1.82 6.37/1.82 The system was filtered by the following matrix interpretation 6.37/1.82 of type E_J with J = {1,...,2} and dimension 8: 6.37/1.82 6.37/1.82 2 is interpreted by 6.37/1.82 / \ 6.37/1.82 | 1 0 0 0 0 0 0 0 | 6.37/1.82 | 0 1 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 1 0 | 6.37/1.82 | 0 0 0 0 0 0 0 1 | 6.37/1.82 | 0 0 0 0 0 0 0 0 | 6.37/1.82 \ / 6.37/1.82 5 is interpreted by 6.37/1.82 / \ 6.37/1.82 | 1 0 1 0 0 0 0 0 | 6.37/1.82 | 0 1 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 | 6.37/1.82 \ / 6.37/1.82 1 is interpreted by 6.37/1.82 / \ 6.37/1.82 | 1 0 0 0 0 0 0 0 | 6.37/1.82 | 0 1 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 | 6.37/1.82 \ / 6.37/1.82 0 is interpreted by 6.37/1.82 / \ 6.37/1.82 | 1 0 0 0 0 0 0 0 | 6.37/1.82 | 0 1 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 1 0 0 0 | 6.37/1.82 | 0 0 0 0 0 1 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 | 6.37/1.82 \ / 6.37/1.82 3 is interpreted by 6.37/1.82 / \ 6.37/1.82 | 1 0 0 0 0 0 0 0 | 6.37/1.82 | 0 1 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 1 0 0 0 0 0 0 | 6.37/1.82 \ / 6.37/1.82 4 is interpreted by 6.37/1.82 / \ 6.37/1.82 | 1 0 0 0 0 0 0 0 | 6.37/1.82 | 0 1 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 1 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 | 6.37/1.82 \ / 6.37/1.82 6.37/1.82 Remains to prove termination of the 13-rule system 6.37/1.82 { 2 2 -> 5 1 1 0 1 3 2 1 1 2 , 6.37/1.82 2 2 4 -> 5 1 0 1 3 5 5 0 4 1 , 6.37/1.82 2 2 4 4 -> 2 0 0 1 3 2 1 4 2 4 , 6.37/1.82 2 2 4 5 -> 4 3 3 0 4 0 2 5 1 2 , 6.37/1.82 2 0 2 2 3 -> 4 0 1 5 5 0 2 1 2 1 , 6.37/1.82 2 2 4 5 4 -> 5 0 2 4 0 1 3 5 3 4 , 6.37/1.82 4 2 3 2 5 -> 1 4 3 0 4 0 3 5 1 2 , 6.37/1.82 5 2 5 2 4 -> 2 5 5 1 1 3 5 0 3 1 , 6.37/1.82 1 4 4 2 4 4 -> 4 1 0 1 5 4 3 4 1 4 , 6.37/1.82 3 2 2 4 5 4 -> 3 3 2 0 5 5 3 5 4 1 , 6.37/1.82 5 3 2 2 4 1 -> 1 2 1 1 5 5 3 3 4 1 , 6.37/1.82 0 0 5 4 5 3 4 -> 5 5 1 5 5 2 2 0 0 4 , 6.37/1.82 2 2 5 4 5 4 4 -> 5 5 4 0 1 4 5 0 4 0 } 6.37/1.82 6.37/1.82 6.37/1.82 The system was filtered by the following matrix interpretation 6.37/1.82 of type E_J with J = {1,...,2} and dimension 6: 6.37/1.82 6.37/1.82 2 is interpreted by 6.37/1.82 / \ 6.37/1.82 | 1 0 1 0 0 0 | 6.37/1.82 | 0 1 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 1 0 | 6.37/1.82 | 0 0 0 0 0 1 | 6.37/1.82 | 0 0 0 0 0 0 | 6.37/1.82 \ / 6.37/1.82 5 is interpreted by 6.37/1.82 / \ 6.37/1.82 | 1 0 1 0 0 0 | 6.37/1.82 | 0 1 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 | 6.37/1.82 \ / 6.37/1.82 1 is interpreted by 6.37/1.82 / \ 6.37/1.82 | 1 0 0 0 0 0 | 6.37/1.82 | 0 1 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 | 6.37/1.82 \ / 6.37/1.82 0 is interpreted by 6.37/1.82 / \ 6.37/1.82 | 1 0 0 0 0 0 | 6.37/1.82 | 0 1 0 0 0 0 | 6.37/1.82 | 0 0 0 1 0 0 | 6.37/1.82 | 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 | 6.37/1.82 \ / 6.37/1.82 3 is interpreted by 6.37/1.82 / \ 6.37/1.82 | 1 0 0 0 0 0 | 6.37/1.82 | 0 1 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 | 6.37/1.82 | 0 1 0 0 0 0 | 6.37/1.82 \ / 6.37/1.82 4 is interpreted by 6.37/1.82 / \ 6.37/1.82 | 1 0 0 0 0 0 | 6.37/1.82 | 0 1 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 | 6.37/1.82 \ / 6.37/1.82 6.37/1.82 Remains to prove termination of the 12-rule system 6.37/1.82 { 2 2 -> 5 1 1 0 1 3 2 1 1 2 , 6.37/1.82 2 2 4 -> 5 1 0 1 3 5 5 0 4 1 , 6.37/1.82 2 2 4 4 -> 2 0 0 1 3 2 1 4 2 4 , 6.37/1.82 2 2 4 5 -> 4 3 3 0 4 0 2 5 1 2 , 6.37/1.82 2 2 4 5 4 -> 5 0 2 4 0 1 3 5 3 4 , 6.37/1.82 4 2 3 2 5 -> 1 4 3 0 4 0 3 5 1 2 , 6.37/1.82 5 2 5 2 4 -> 2 5 5 1 1 3 5 0 3 1 , 6.37/1.82 1 4 4 2 4 4 -> 4 1 0 1 5 4 3 4 1 4 , 6.37/1.82 3 2 2 4 5 4 -> 3 3 2 0 5 5 3 5 4 1 , 6.37/1.82 5 3 2 2 4 1 -> 1 2 1 1 5 5 3 3 4 1 , 6.37/1.82 0 0 5 4 5 3 4 -> 5 5 1 5 5 2 2 0 0 4 , 6.37/1.82 2 2 5 4 5 4 4 -> 5 5 4 0 1 4 5 0 4 0 } 6.37/1.82 6.37/1.82 6.37/1.82 The system was filtered by the following matrix interpretation 6.37/1.82 of type E_J with J = {1,...,2} and dimension 6: 6.37/1.82 6.37/1.82 2 is interpreted by 6.37/1.82 / \ 6.37/1.82 | 1 0 0 0 0 0 | 6.37/1.82 | 0 1 0 0 0 0 | 6.37/1.82 | 0 0 0 1 0 0 | 6.37/1.82 | 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 1 | 6.37/1.82 | 0 0 0 0 1 0 | 6.37/1.82 \ / 6.37/1.82 5 is interpreted by 6.37/1.82 / \ 6.37/1.82 | 1 0 1 0 0 0 | 6.37/1.82 | 0 1 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 1 0 | 6.37/1.82 | 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 | 6.37/1.82 \ / 6.37/1.82 1 is interpreted by 6.37/1.82 / \ 6.37/1.82 | 1 0 0 0 0 0 | 6.37/1.82 | 0 1 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 1 | 6.37/1.82 \ / 6.37/1.82 0 is interpreted by 6.37/1.82 / \ 6.37/1.82 | 1 0 0 0 0 0 | 6.37/1.82 | 0 1 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 | 6.37/1.82 \ / 6.37/1.82 3 is interpreted by 6.37/1.82 / \ 6.37/1.82 | 1 0 0 0 0 0 | 6.37/1.82 | 0 1 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 | 6.37/1.82 \ / 6.37/1.82 4 is interpreted by 6.37/1.82 / \ 6.37/1.82 | 1 0 0 0 0 0 | 6.37/1.82 | 0 1 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 | 6.37/1.82 | 0 1 0 0 0 0 | 6.37/1.82 \ / 6.37/1.82 6.37/1.82 Remains to prove termination of the 11-rule system 6.37/1.82 { 2 2 -> 5 1 1 0 1 3 2 1 1 2 , 6.37/1.82 2 2 4 -> 5 1 0 1 3 5 5 0 4 1 , 6.37/1.82 2 2 4 4 -> 2 0 0 1 3 2 1 4 2 4 , 6.37/1.82 2 2 4 5 -> 4 3 3 0 4 0 2 5 1 2 , 6.37/1.82 2 2 4 5 4 -> 5 0 2 4 0 1 3 5 3 4 , 6.37/1.82 4 2 3 2 5 -> 1 4 3 0 4 0 3 5 1 2 , 6.37/1.82 1 4 4 2 4 4 -> 4 1 0 1 5 4 3 4 1 4 , 6.37/1.82 3 2 2 4 5 4 -> 3 3 2 0 5 5 3 5 4 1 , 6.37/1.82 5 3 2 2 4 1 -> 1 2 1 1 5 5 3 3 4 1 , 6.37/1.82 0 0 5 4 5 3 4 -> 5 5 1 5 5 2 2 0 0 4 , 6.37/1.82 2 2 5 4 5 4 4 -> 5 5 4 0 1 4 5 0 4 0 } 6.37/1.82 6.37/1.82 6.37/1.82 The system was filtered by the following matrix interpretation 6.37/1.82 of type E_J with J = {1,...,2} and dimension 3: 6.37/1.82 6.37/1.82 2 is interpreted by 6.37/1.82 / \ 6.37/1.82 | 1 0 1 | 6.37/1.82 | 0 1 0 | 6.37/1.82 | 0 1 0 | 6.37/1.82 \ / 6.37/1.82 5 is interpreted by 6.37/1.82 / \ 6.37/1.82 | 1 0 1 | 6.37/1.82 | 0 1 0 | 6.37/1.82 | 0 0 0 | 6.37/1.82 \ / 6.37/1.82 1 is interpreted by 6.37/1.82 / \ 6.37/1.82 | 1 0 0 | 6.37/1.82 | 0 1 0 | 6.37/1.82 | 0 0 0 | 6.37/1.82 \ / 6.37/1.82 0 is interpreted by 6.37/1.82 / \ 6.37/1.82 | 1 0 0 | 6.37/1.82 | 0 1 0 | 6.37/1.82 | 0 0 0 | 6.37/1.82 \ / 6.37/1.82 3 is interpreted by 6.37/1.82 / \ 6.37/1.82 | 1 0 0 | 6.37/1.82 | 0 1 0 | 6.37/1.82 | 0 1 0 | 6.37/1.82 \ / 6.37/1.82 4 is interpreted by 6.37/1.82 / \ 6.37/1.82 | 1 1 0 | 6.37/1.82 | 0 1 0 | 6.37/1.82 | 0 0 0 | 6.37/1.82 \ / 6.37/1.82 6.37/1.82 Remains to prove termination of the 5-rule system 6.37/1.82 { 2 2 4 5 -> 4 3 3 0 4 0 2 5 1 2 , 6.37/1.82 2 2 4 5 4 -> 5 0 2 4 0 1 3 5 3 4 , 6.37/1.82 4 2 3 2 5 -> 1 4 3 0 4 0 3 5 1 2 , 6.37/1.82 1 4 4 2 4 4 -> 4 1 0 1 5 4 3 4 1 4 , 6.37/1.82 0 0 5 4 5 3 4 -> 5 5 1 5 5 2 2 0 0 4 } 6.37/1.82 6.37/1.82 6.37/1.82 The system was filtered by the following matrix interpretation 6.37/1.82 of type E_J with J = {1,...,2} and dimension 6: 6.37/1.82 6.37/1.82 2 is interpreted by 6.37/1.82 / \ 6.37/1.82 | 1 0 0 0 0 0 | 6.37/1.82 | 0 1 0 0 0 0 | 6.37/1.82 | 0 0 0 1 0 0 | 6.37/1.82 | 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 1 | 6.37/1.82 | 0 1 0 0 0 0 | 6.37/1.82 \ / 6.37/1.82 5 is interpreted by 6.37/1.82 / \ 6.37/1.82 | 1 0 0 0 0 0 | 6.37/1.82 | 0 1 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 | 6.37/1.82 | 0 1 0 0 0 0 | 6.37/1.82 \ / 6.37/1.82 1 is interpreted by 6.37/1.82 / \ 6.37/1.82 | 1 0 0 0 0 0 | 6.37/1.82 | 0 1 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 | 6.37/1.82 \ / 6.37/1.82 0 is interpreted by 6.37/1.82 / \ 6.37/1.82 | 1 0 0 0 0 0 | 6.37/1.82 | 0 1 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 | 6.37/1.82 | 0 1 0 0 0 0 | 6.37/1.82 \ / 6.37/1.82 3 is interpreted by 6.37/1.82 / \ 6.37/1.82 | 1 0 0 0 0 0 | 6.37/1.82 | 0 1 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 1 0 | 6.37/1.82 | 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 | 6.37/1.82 \ / 6.37/1.82 4 is interpreted by 6.37/1.82 / \ 6.37/1.82 | 1 0 1 0 0 0 | 6.37/1.82 | 0 1 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 | 6.37/1.82 \ / 6.37/1.82 6.37/1.82 Remains to prove termination of the 4-rule system 6.37/1.82 { 2 2 4 5 -> 4 3 3 0 4 0 2 5 1 2 , 6.37/1.82 2 2 4 5 4 -> 5 0 2 4 0 1 3 5 3 4 , 6.37/1.82 1 4 4 2 4 4 -> 4 1 0 1 5 4 3 4 1 4 , 6.37/1.82 0 0 5 4 5 3 4 -> 5 5 1 5 5 2 2 0 0 4 } 6.37/1.82 6.37/1.82 6.37/1.82 The system was filtered by the following matrix interpretation 6.37/1.82 of type E_J with J = {1,...,2} and dimension 8: 6.37/1.82 6.37/1.82 2 is interpreted by 6.37/1.82 / \ 6.37/1.82 | 1 0 0 0 0 0 0 0 | 6.37/1.82 | 0 1 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 1 0 0 0 0 0 0 | 6.37/1.82 \ / 6.37/1.82 5 is interpreted by 6.37/1.82 / \ 6.37/1.82 | 1 0 0 0 0 0 0 0 | 6.37/1.82 | 0 1 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 1 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 1 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 | 6.37/1.82 \ / 6.37/1.82 1 is interpreted by 6.37/1.82 / \ 6.37/1.82 | 1 0 0 0 0 0 0 0 | 6.37/1.82 | 0 1 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 1 0 0 0 0 0 0 | 6.37/1.82 \ / 6.37/1.82 0 is interpreted by 6.37/1.82 / \ 6.37/1.82 | 1 0 1 0 0 0 0 0 | 6.37/1.82 | 0 1 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 1 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 | 6.37/1.82 \ / 6.37/1.82 3 is interpreted by 6.37/1.82 / \ 6.37/1.82 | 1 0 0 0 0 0 0 0 | 6.37/1.82 | 0 1 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 1 | 6.37/1.82 | 0 0 0 0 0 0 0 0 | 6.37/1.82 \ / 6.37/1.82 4 is interpreted by 6.37/1.82 / \ 6.37/1.82 | 1 0 0 0 0 0 0 0 | 6.37/1.82 | 0 1 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 1 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 0 0 0 0 0 0 0 | 6.37/1.82 | 0 1 0 0 0 0 0 0 | 6.37/1.82 \ / 6.37/1.82 6.37/1.82 Remains to prove termination of the 3-rule system 6.37/1.82 { 2 2 4 5 -> 4 3 3 0 4 0 2 5 1 2 , 6.37/1.82 2 2 4 5 4 -> 5 0 2 4 0 1 3 5 3 4 , 6.37/1.82 1 4 4 2 4 4 -> 4 1 0 1 5 4 3 4 1 4 } 6.37/1.82 6.37/1.82 6.37/1.82 The system was filtered by the following matrix interpretation 6.37/1.82 of type E_J with J = {1,...,2} and dimension 2: 6.37/1.82 6.37/1.82 2 is interpreted by 6.37/1.82 / \ 6.37/1.82 | 1 1 | 6.37/1.82 | 0 1 | 6.37/1.82 \ / 6.37/1.82 5 is interpreted by 6.37/1.82 / \ 6.37/1.82 | 1 0 | 6.37/1.82 | 0 1 | 6.37/1.82 \ / 6.37/1.82 1 is interpreted by 6.37/1.82 / \ 6.37/1.82 | 1 0 | 6.37/1.82 | 0 1 | 6.37/1.82 \ / 6.37/1.82 0 is interpreted by 6.37/1.82 / \ 6.37/1.82 | 1 0 | 6.37/1.83 | 0 1 | 6.37/1.83 \ / 6.37/1.83 3 is interpreted by 6.37/1.83 / \ 6.37/1.83 | 1 0 | 6.37/1.83 | 0 1 | 6.37/1.83 \ / 6.37/1.83 4 is interpreted by 6.37/1.83 / \ 6.37/1.83 | 1 0 | 6.37/1.83 | 0 1 | 6.37/1.83 \ / 6.37/1.83 6.37/1.83 Remains to prove termination of the 1-rule system 6.37/1.83 { 2 2 4 5 -> 4 3 3 0 4 0 2 5 1 2 } 6.37/1.83 6.37/1.83 6.37/1.83 The system was filtered by the following matrix interpretation 6.37/1.83 of type E_J with J = {1,...,2} and dimension 5: 6.37/1.83 6.37/1.83 2 is interpreted by 6.37/1.83 / \ 6.37/1.83 | 1 0 1 0 0 | 6.37/1.83 | 0 1 0 0 0 | 6.37/1.83 | 0 0 0 1 0 | 6.37/1.83 | 0 0 0 0 0 | 6.37/1.83 | 0 0 0 0 0 | 6.37/1.83 \ / 6.37/1.83 5 is interpreted by 6.37/1.83 / \ 6.37/1.83 | 1 0 1 0 0 | 6.37/1.83 | 0 1 0 0 0 | 6.37/1.83 | 0 0 0 0 0 | 6.37/1.83 | 0 0 0 0 0 | 6.37/1.83 | 0 1 0 0 0 | 6.37/1.83 \ / 6.37/1.83 1 is interpreted by 6.37/1.83 / \ 6.37/1.83 | 1 0 0 0 0 | 6.37/1.83 | 0 1 0 0 0 | 6.37/1.83 | 0 0 0 0 0 | 6.37/1.83 | 0 0 0 0 0 | 6.37/1.83 | 0 0 0 0 0 | 6.37/1.83 \ / 6.37/1.83 0 is interpreted by 6.37/1.83 / \ 6.37/1.83 | 1 0 0 0 0 | 6.37/1.83 | 0 1 0 0 0 | 6.37/1.83 | 0 0 0 0 0 | 6.37/1.83 | 0 0 0 0 0 | 6.37/1.83 | 0 0 0 0 0 | 6.37/1.83 \ / 6.37/1.83 3 is interpreted by 6.37/1.83 / \ 6.37/1.83 | 1 0 0 0 0 | 6.37/1.83 | 0 1 0 0 0 | 6.37/1.83 | 0 0 0 0 0 | 6.37/1.83 | 0 0 0 0 0 | 6.37/1.83 | 0 0 0 0 0 | 6.37/1.83 \ / 6.37/1.83 4 is interpreted by 6.37/1.83 / \ 6.37/1.83 | 1 0 0 0 0 | 6.37/1.83 | 0 1 0 0 0 | 6.37/1.83 | 0 0 0 0 0 | 6.37/1.83 | 0 0 0 0 1 | 6.37/1.83 | 0 0 0 0 0 | 6.37/1.83 \ / 6.37/1.83 6.37/1.83 Remains to prove termination of the 0-rule system 6.37/1.83 { } 6.37/1.83 6.37/1.83 6.37/1.83 The system is trivially terminating. 6.77/1.94 EOF