4.15/1.29 YES 4.56/1.41 4.56/1.41 4.56/1.41 The system was filtered by the following matrix interpretation 4.56/1.41 of type E_J with J = {1,...,2} and dimension 7: 4.56/1.41 4.56/1.41 2 is interpreted by 4.56/1.41 / \ 4.56/1.41 | 1 0 0 0 0 0 0 | 4.56/1.41 | 0 1 0 0 0 0 0 | 4.56/1.41 | 0 0 0 0 0 0 0 | 4.56/1.41 | 0 0 0 0 0 0 0 | 4.56/1.41 | 0 0 0 0 0 0 0 | 4.56/1.41 | 0 0 0 0 0 0 0 | 4.56/1.41 | 0 0 0 0 0 0 0 | 4.56/1.41 \ / 4.56/1.41 5 is interpreted by 4.56/1.41 / \ 4.56/1.41 | 1 0 0 0 0 0 0 | 4.56/1.41 | 0 1 0 0 0 0 0 | 4.56/1.41 | 0 0 0 0 0 0 0 | 4.56/1.41 | 0 0 0 0 1 0 0 | 4.56/1.41 | 0 0 0 0 0 1 0 | 4.56/1.41 | 0 1 0 0 0 0 0 | 4.56/1.41 | 0 0 0 0 0 0 0 | 4.56/1.41 \ / 4.56/1.41 3 is interpreted by 4.56/1.41 / \ 4.56/1.41 | 1 0 1 0 0 0 0 | 4.56/1.41 | 0 1 0 0 0 0 0 | 4.56/1.41 | 0 0 0 0 0 0 0 | 4.56/1.41 | 0 0 0 0 0 0 0 | 4.56/1.41 | 0 0 0 0 0 0 0 | 4.56/1.41 | 0 0 0 0 0 0 0 | 4.56/1.41 | 0 1 0 0 0 0 0 | 4.56/1.41 \ / 4.56/1.41 0 is interpreted by 4.56/1.41 / \ 4.56/1.41 | 1 0 1 0 0 0 0 | 4.56/1.41 | 0 1 0 0 0 0 0 | 4.56/1.41 | 0 0 0 1 0 0 0 | 4.56/1.41 | 0 0 0 0 0 0 0 | 4.56/1.41 | 0 0 0 0 0 0 0 | 4.56/1.41 | 0 0 0 0 0 0 0 | 4.56/1.41 | 0 0 0 0 0 0 0 | 4.56/1.41 \ / 4.56/1.41 1 is interpreted by 4.56/1.41 / \ 4.56/1.41 | 1 0 0 0 0 0 0 | 4.56/1.41 | 0 1 0 0 0 0 0 | 4.56/1.41 | 0 0 0 0 0 0 0 | 4.56/1.41 | 0 0 0 0 0 0 0 | 4.56/1.41 | 0 0 0 0 0 0 0 | 4.56/1.41 | 0 0 0 0 0 0 0 | 4.56/1.41 | 0 0 0 0 0 0 0 | 4.56/1.41 \ / 4.56/1.41 4 is interpreted by 4.56/1.41 / \ 4.56/1.41 | 1 0 0 0 0 0 0 | 4.56/1.41 | 0 1 0 0 0 0 0 | 4.56/1.41 | 0 0 0 0 0 0 0 | 4.56/1.41 | 0 0 0 0 0 0 0 | 4.56/1.41 | 0 0 0 0 0 0 0 | 4.56/1.41 | 0 0 0 0 0 0 1 | 4.56/1.41 | 0 0 0 0 0 0 0 | 4.56/1.41 \ / 4.56/1.41 4.56/1.41 Remains to prove termination of the 13-rule system 4.56/1.41 { 2 5 3 0 -> 1 0 0 1 3 0 4 5 1 2 , 4.56/1.41 1 3 5 4 3 -> 2 1 4 1 4 0 3 0 1 1 , 4.56/1.41 5 1 3 5 0 -> 5 1 4 3 0 4 4 5 2 1 , 4.56/1.41 5 4 4 2 5 -> 4 3 1 1 1 1 5 3 3 5 , 4.56/1.41 2 2 5 0 5 4 -> 2 1 4 1 3 3 2 2 5 4 , 4.56/1.41 3 5 4 3 5 2 -> 2 0 5 2 0 5 2 2 3 2 , 4.56/1.41 4 4 2 5 5 0 -> 4 4 0 0 3 3 3 2 2 3 , 4.56/1.41 4 5 3 5 5 0 -> 4 2 2 3 0 2 4 1 1 5 , 4.56/1.41 5 4 5 1 1 2 -> 5 4 0 3 3 3 3 2 5 5 , 4.56/1.41 5 5 5 5 5 3 -> 5 5 0 1 4 0 0 5 0 1 , 4.56/1.41 3 5 0 0 5 4 3 -> 0 1 2 1 1 5 5 2 1 0 , 4.56/1.41 3 5 4 2 5 2 3 -> 4 0 4 0 0 2 2 3 4 4 , 4.56/1.41 3 5 4 5 1 4 0 -> 1 1 1 0 0 3 3 1 2 5 } 4.56/1.41 4.56/1.41 4.56/1.41 The system was filtered by the following matrix interpretation 4.56/1.41 of type E_J with J = {1,...,2} and dimension 8: 4.56/1.41 4.56/1.41 2 is interpreted by 4.56/1.41 / \ 4.56/1.41 | 1 0 1 0 0 0 0 0 | 4.56/1.41 | 0 1 0 0 0 0 0 0 | 4.56/1.41 | 0 0 0 0 0 0 0 0 | 4.56/1.41 | 0 0 0 0 0 0 0 0 | 4.56/1.41 | 0 0 0 0 0 1 0 0 | 4.56/1.41 | 0 0 0 0 0 0 0 0 | 4.56/1.41 | 0 0 0 0 0 0 0 1 | 4.56/1.41 | 0 0 0 0 0 0 0 0 | 4.56/1.41 \ / 4.56/1.41 5 is interpreted by 4.56/1.41 / \ 4.56/1.41 | 1 0 0 0 0 0 0 0 | 4.56/1.41 | 0 1 0 0 0 0 0 0 | 4.56/1.41 | 0 0 0 1 0 0 0 0 | 4.56/1.41 | 0 0 0 0 0 0 0 0 | 4.56/1.41 | 0 0 0 0 0 0 0 0 | 4.56/1.41 | 0 0 0 0 0 0 1 0 | 4.56/1.41 | 0 0 0 0 0 0 0 0 | 4.56/1.41 | 0 0 0 0 0 0 0 0 | 4.56/1.41 \ / 4.56/1.41 3 is interpreted by 4.56/1.41 / \ 4.56/1.41 | 1 0 1 1 0 0 0 0 | 4.56/1.41 | 0 1 0 0 0 0 0 0 | 4.56/1.41 | 0 0 0 0 0 0 0 0 | 4.56/1.41 | 0 0 0 0 0 0 0 0 | 4.56/1.41 | 0 0 0 0 0 0 0 0 | 4.56/1.41 | 0 0 0 0 0 0 0 0 | 4.56/1.41 | 0 0 0 0 0 0 0 0 | 4.56/1.41 | 0 1 0 0 0 0 0 0 | 4.56/1.41 \ / 4.56/1.41 0 is interpreted by 4.56/1.41 / \ 4.56/1.41 | 1 0 1 1 0 0 0 0 | 4.56/1.41 | 0 1 0 0 0 0 0 0 | 4.56/1.41 | 0 0 0 0 0 0 0 0 | 4.56/1.41 | 0 0 0 0 0 0 0 0 | 4.56/1.41 | 0 0 0 0 0 0 0 0 | 4.56/1.41 | 0 0 0 0 0 0 0 0 | 4.56/1.41 | 0 0 0 0 0 0 0 0 | 4.56/1.41 | 0 0 0 0 0 0 0 0 | 4.56/1.41 \ / 4.56/1.41 1 is interpreted by 4.56/1.41 / \ 4.56/1.41 | 1 0 0 0 0 0 0 0 | 4.56/1.41 | 0 1 0 0 0 0 0 0 | 4.56/1.41 | 0 0 0 0 0 0 0 0 | 4.56/1.41 | 0 0 0 0 0 0 0 0 | 4.56/1.41 | 0 0 0 0 0 0 0 0 | 4.56/1.41 | 0 0 0 0 0 0 0 0 | 4.56/1.41 | 0 0 0 0 0 0 0 0 | 4.56/1.41 | 0 0 0 0 0 0 0 0 | 4.56/1.41 \ / 4.56/1.41 4 is interpreted by 4.56/1.41 / \ 4.56/1.41 | 1 0 0 0 0 0 0 0 | 4.56/1.41 | 0 1 0 0 0 0 0 0 | 4.56/1.41 | 0 0 0 0 0 0 0 0 | 4.56/1.41 | 0 0 0 0 1 0 0 0 | 4.56/1.41 | 0 0 0 0 0 0 0 0 | 4.56/1.41 | 0 0 0 0 0 0 0 0 | 4.56/1.41 | 0 0 0 0 0 0 0 0 | 4.56/1.41 | 0 0 0 0 0 0 0 0 | 4.56/1.41 \ / 4.56/1.41 4.56/1.41 Remains to prove termination of the 12-rule system 4.56/1.41 { 2 5 3 0 -> 1 0 0 1 3 0 4 5 1 2 , 4.56/1.41 1 3 5 4 3 -> 2 1 4 1 4 0 3 0 1 1 , 4.56/1.41 5 1 3 5 0 -> 5 1 4 3 0 4 4 5 2 1 , 4.56/1.41 5 4 4 2 5 -> 4 3 1 1 1 1 5 3 3 5 , 4.56/1.41 2 2 5 0 5 4 -> 2 1 4 1 3 3 2 2 5 4 , 4.56/1.41 3 5 4 3 5 2 -> 2 0 5 2 0 5 2 2 3 2 , 4.56/1.41 4 4 2 5 5 0 -> 4 4 0 0 3 3 3 2 2 3 , 4.56/1.41 4 5 3 5 5 0 -> 4 2 2 3 0 2 4 1 1 5 , 4.56/1.41 5 4 5 1 1 2 -> 5 4 0 3 3 3 3 2 5 5 , 4.56/1.41 5 5 5 5 5 3 -> 5 5 0 1 4 0 0 5 0 1 , 4.56/1.41 3 5 0 0 5 4 3 -> 0 1 2 1 1 5 5 2 1 0 , 4.56/1.41 3 5 4 5 1 4 0 -> 1 1 1 0 0 3 3 1 2 5 } 4.56/1.41 4.56/1.41 4.56/1.41 The system was filtered by the following matrix interpretation 4.56/1.41 of type E_J with J = {1,...,2} and dimension 7: 4.56/1.41 4.56/1.41 2 is interpreted by 4.56/1.41 / \ 4.56/1.41 | 1 0 0 0 0 0 0 | 4.56/1.41 | 0 1 0 0 0 0 0 | 4.56/1.41 | 0 0 0 0 0 0 0 | 4.56/1.41 | 0 0 0 0 0 0 0 | 4.56/1.41 | 0 0 0 0 0 0 0 | 4.56/1.41 | 0 0 0 0 0 0 0 | 4.56/1.41 | 0 0 0 0 0 0 0 | 4.56/1.41 \ / 4.56/1.41 5 is interpreted by 4.56/1.41 / \ 4.56/1.41 | 1 0 0 0 0 0 0 | 4.56/1.41 | 0 1 0 0 0 0 0 | 4.56/1.41 | 0 0 0 1 0 0 0 | 4.56/1.41 | 0 0 0 0 0 0 0 | 4.56/1.41 | 0 0 0 0 0 1 0 | 4.56/1.42 | 0 0 0 0 0 0 1 | 4.56/1.42 | 0 1 0 0 0 0 0 | 4.56/1.42 \ / 4.56/1.42 3 is interpreted by 4.56/1.42 / \ 4.56/1.42 | 1 0 0 0 0 0 0 | 4.56/1.42 | 0 1 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 1 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 | 4.56/1.42 | 0 1 0 0 0 0 0 | 4.56/1.42 \ / 4.56/1.42 0 is interpreted by 4.56/1.42 / \ 4.56/1.42 | 1 0 0 0 0 0 0 | 4.56/1.42 | 0 1 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 | 4.56/1.42 | 0 1 0 0 0 0 0 | 4.56/1.42 \ / 4.56/1.42 1 is interpreted by 4.56/1.42 / \ 4.56/1.42 | 1 0 0 0 0 0 0 | 4.56/1.42 | 0 1 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 | 4.56/1.42 \ / 4.56/1.42 4 is interpreted by 4.56/1.42 / \ 4.56/1.42 | 1 0 1 0 0 0 0 | 4.56/1.42 | 0 1 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 | 4.56/1.42 \ / 4.56/1.42 4.56/1.42 Remains to prove termination of the 11-rule system 4.56/1.42 { 2 5 3 0 -> 1 0 0 1 3 0 4 5 1 2 , 4.56/1.42 1 3 5 4 3 -> 2 1 4 1 4 0 3 0 1 1 , 4.56/1.42 5 1 3 5 0 -> 5 1 4 3 0 4 4 5 2 1 , 4.56/1.42 5 4 4 2 5 -> 4 3 1 1 1 1 5 3 3 5 , 4.56/1.42 2 2 5 0 5 4 -> 2 1 4 1 3 3 2 2 5 4 , 4.56/1.42 3 5 4 3 5 2 -> 2 0 5 2 0 5 2 2 3 2 , 4.56/1.42 4 4 2 5 5 0 -> 4 4 0 0 3 3 3 2 2 3 , 4.56/1.42 5 4 5 1 1 2 -> 5 4 0 3 3 3 3 2 5 5 , 4.56/1.42 5 5 5 5 5 3 -> 5 5 0 1 4 0 0 5 0 1 , 4.56/1.42 3 5 0 0 5 4 3 -> 0 1 2 1 1 5 5 2 1 0 , 4.56/1.42 3 5 4 5 1 4 0 -> 1 1 1 0 0 3 3 1 2 5 } 4.56/1.42 4.56/1.42 4.56/1.42 The system was filtered by the following matrix interpretation 4.56/1.42 of type E_J with J = {1,...,2} and dimension 7: 4.56/1.42 4.56/1.42 2 is interpreted by 4.56/1.42 / \ 4.56/1.42 | 1 0 0 0 0 0 0 | 4.56/1.42 | 0 1 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 1 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 | 4.56/1.42 \ / 4.56/1.42 5 is interpreted by 4.56/1.42 / \ 4.56/1.42 | 1 0 0 0 0 0 0 | 4.56/1.42 | 0 1 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 1 0 | 4.56/1.42 | 0 0 0 0 0 0 1 | 4.56/1.42 | 0 1 0 0 0 0 0 | 4.56/1.42 \ / 4.56/1.42 3 is interpreted by 4.56/1.42 / \ 4.56/1.42 | 1 0 0 0 0 0 0 | 4.56/1.42 | 0 1 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 | 4.56/1.42 | 0 1 0 0 0 0 0 | 4.56/1.42 \ / 4.56/1.42 0 is interpreted by 4.56/1.42 / \ 4.56/1.42 | 1 0 0 0 0 0 0 | 4.56/1.42 | 0 1 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 | 4.56/1.42 | 0 1 0 0 0 0 0 | 4.56/1.42 \ / 4.56/1.42 1 is interpreted by 4.56/1.42 / \ 4.56/1.42 | 1 0 0 0 0 0 0 | 4.56/1.42 | 0 1 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 | 4.56/1.42 \ / 4.56/1.42 4 is interpreted by 4.56/1.42 / \ 4.56/1.42 | 1 0 1 0 0 0 0 | 4.56/1.42 | 0 1 0 0 0 0 0 | 4.56/1.42 | 0 0 0 1 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 | 4.56/1.42 \ / 4.56/1.42 4.56/1.42 Remains to prove termination of the 10-rule system 4.56/1.42 { 2 5 3 0 -> 1 0 0 1 3 0 4 5 1 2 , 4.56/1.42 1 3 5 4 3 -> 2 1 4 1 4 0 3 0 1 1 , 4.56/1.42 5 1 3 5 0 -> 5 1 4 3 0 4 4 5 2 1 , 4.56/1.42 5 4 4 2 5 -> 4 3 1 1 1 1 5 3 3 5 , 4.56/1.42 2 2 5 0 5 4 -> 2 1 4 1 3 3 2 2 5 4 , 4.56/1.42 3 5 4 3 5 2 -> 2 0 5 2 0 5 2 2 3 2 , 4.56/1.42 5 4 5 1 1 2 -> 5 4 0 3 3 3 3 2 5 5 , 4.56/1.42 5 5 5 5 5 3 -> 5 5 0 1 4 0 0 5 0 1 , 4.56/1.42 3 5 0 0 5 4 3 -> 0 1 2 1 1 5 5 2 1 0 , 4.56/1.42 3 5 4 5 1 4 0 -> 1 1 1 0 0 3 3 1 2 5 } 4.56/1.42 4.56/1.42 4.56/1.42 The system was filtered by the following matrix interpretation 4.56/1.42 of type E_J with J = {1,...,2} and dimension 7: 4.56/1.42 4.56/1.42 2 is interpreted by 4.56/1.42 / \ 4.56/1.42 | 1 0 1 0 0 0 0 | 4.56/1.42 | 0 1 0 0 0 0 0 | 4.56/1.42 | 0 0 0 1 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 | 4.56/1.42 \ / 4.56/1.42 5 is interpreted by 4.56/1.42 / \ 4.56/1.42 | 1 0 1 0 0 0 0 | 4.56/1.42 | 0 1 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 1 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 1 | 4.56/1.42 | 0 0 0 0 0 0 1 | 4.56/1.42 \ / 4.56/1.42 3 is interpreted by 4.56/1.42 / \ 4.56/1.42 | 1 0 1 0 0 0 0 | 4.56/1.42 | 0 1 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 | 4.56/1.42 \ / 4.56/1.42 0 is interpreted by 4.56/1.42 / \ 4.56/1.42 | 1 0 1 0 0 0 0 | 4.56/1.42 | 0 1 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 1 0 | 4.56/1.42 | 0 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 | 4.56/1.42 \ / 4.56/1.42 1 is interpreted by 4.56/1.42 / \ 4.56/1.42 | 1 0 0 0 0 0 0 | 4.56/1.42 | 0 1 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 | 4.56/1.42 \ / 4.56/1.42 4 is interpreted by 4.56/1.42 / \ 4.56/1.42 | 1 0 0 0 0 0 0 | 4.56/1.42 | 0 1 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 | 4.56/1.42 | 0 1 0 0 0 0 0 | 4.56/1.42 \ / 4.56/1.42 4.56/1.42 Remains to prove termination of the 9-rule system 4.56/1.42 { 2 5 3 0 -> 1 0 0 1 3 0 4 5 1 2 , 4.56/1.42 1 3 5 4 3 -> 2 1 4 1 4 0 3 0 1 1 , 4.56/1.42 5 1 3 5 0 -> 5 1 4 3 0 4 4 5 2 1 , 4.56/1.42 5 4 4 2 5 -> 4 3 1 1 1 1 5 3 3 5 , 4.56/1.42 3 5 4 3 5 2 -> 2 0 5 2 0 5 2 2 3 2 , 4.56/1.42 5 4 5 1 1 2 -> 5 4 0 3 3 3 3 2 5 5 , 4.56/1.42 5 5 5 5 5 3 -> 5 5 0 1 4 0 0 5 0 1 , 4.56/1.42 3 5 0 0 5 4 3 -> 0 1 2 1 1 5 5 2 1 0 , 4.56/1.42 3 5 4 5 1 4 0 -> 1 1 1 0 0 3 3 1 2 5 } 4.56/1.42 4.56/1.42 4.56/1.42 The system was filtered by the following matrix interpretation 4.56/1.42 of type E_J with J = {1,...,2} and dimension 6: 4.56/1.42 4.56/1.42 2 is interpreted by 4.56/1.42 / \ 4.56/1.42 | 1 0 1 0 0 0 | 4.56/1.42 | 0 1 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 1 | 4.56/1.42 | 0 0 0 0 0 0 | 4.56/1.42 \ / 4.56/1.42 5 is interpreted by 4.56/1.42 / \ 4.56/1.42 | 1 0 1 0 0 0 | 4.56/1.42 | 0 1 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 | 4.56/1.42 | 0 1 0 0 0 0 | 4.56/1.42 \ / 4.56/1.42 3 is interpreted by 4.56/1.42 / \ 4.56/1.42 | 1 0 1 0 0 0 | 4.56/1.42 | 0 1 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 | 4.56/1.42 \ / 4.56/1.42 0 is interpreted by 4.56/1.42 / \ 4.56/1.42 | 1 0 1 0 0 0 | 4.56/1.42 | 0 1 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 | 4.56/1.42 \ / 4.56/1.42 1 is interpreted by 4.56/1.42 / \ 4.56/1.42 | 1 0 0 0 0 0 | 4.56/1.42 | 0 1 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 | 4.56/1.42 \ / 4.56/1.42 4 is interpreted by 4.56/1.42 / \ 4.56/1.42 | 1 0 0 0 0 0 | 4.56/1.42 | 0 1 0 0 0 0 | 4.56/1.42 | 0 0 0 1 0 0 | 4.56/1.42 | 0 0 0 0 1 0 | 4.56/1.42 | 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 | 4.56/1.42 \ / 4.56/1.42 4.56/1.42 Remains to prove termination of the 8-rule system 4.56/1.42 { 2 5 3 0 -> 1 0 0 1 3 0 4 5 1 2 , 4.56/1.42 1 3 5 4 3 -> 2 1 4 1 4 0 3 0 1 1 , 4.56/1.42 5 1 3 5 0 -> 5 1 4 3 0 4 4 5 2 1 , 4.56/1.42 3 5 4 3 5 2 -> 2 0 5 2 0 5 2 2 3 2 , 4.56/1.42 5 4 5 1 1 2 -> 5 4 0 3 3 3 3 2 5 5 , 4.56/1.42 5 5 5 5 5 3 -> 5 5 0 1 4 0 0 5 0 1 , 4.56/1.42 3 5 0 0 5 4 3 -> 0 1 2 1 1 5 5 2 1 0 , 4.56/1.42 3 5 4 5 1 4 0 -> 1 1 1 0 0 3 3 1 2 5 } 4.56/1.42 4.56/1.42 4.56/1.42 The system was filtered by the following matrix interpretation 4.56/1.42 of type E_J with J = {1,...,2} and dimension 8: 4.56/1.42 4.56/1.42 2 is interpreted by 4.56/1.42 / \ 4.56/1.42 | 1 0 0 0 0 0 0 0 | 4.56/1.42 | 0 1 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 0 | 4.56/1.42 \ / 4.56/1.42 5 is interpreted by 4.56/1.42 / \ 4.56/1.42 | 1 0 0 0 0 0 0 0 | 4.56/1.42 | 0 1 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 1 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 1 0 | 4.56/1.42 | 0 0 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 0 | 4.56/1.42 \ / 4.56/1.42 3 is interpreted by 4.56/1.42 / \ 4.56/1.42 | 1 0 1 0 0 0 0 0 | 4.56/1.42 | 0 1 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 0 | 4.56/1.42 | 0 1 0 0 0 0 0 0 | 4.56/1.42 \ / 4.56/1.42 0 is interpreted by 4.56/1.42 / \ 4.56/1.42 | 1 0 0 0 0 0 0 0 | 4.56/1.42 | 0 1 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 1 0 0 0 | 4.56/1.42 | 0 0 0 0 0 1 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 0 | 4.56/1.42 \ / 4.56/1.42 1 is interpreted by 4.56/1.42 / \ 4.56/1.42 | 1 0 0 0 0 0 0 0 | 4.56/1.42 | 0 1 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 0 | 4.56/1.42 \ / 4.56/1.42 4 is interpreted by 4.56/1.42 / \ 4.56/1.42 | 1 0 0 0 0 0 0 0 | 4.56/1.42 | 0 1 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 1 | 4.56/1.42 | 0 0 0 0 0 0 0 0 | 4.56/1.42 \ / 4.56/1.42 4.56/1.42 Remains to prove termination of the 7-rule system 4.56/1.42 { 2 5 3 0 -> 1 0 0 1 3 0 4 5 1 2 , 4.56/1.42 1 3 5 4 3 -> 2 1 4 1 4 0 3 0 1 1 , 4.56/1.42 5 1 3 5 0 -> 5 1 4 3 0 4 4 5 2 1 , 4.56/1.42 3 5 4 3 5 2 -> 2 0 5 2 0 5 2 2 3 2 , 4.56/1.42 5 4 5 1 1 2 -> 5 4 0 3 3 3 3 2 5 5 , 4.56/1.42 5 5 5 5 5 3 -> 5 5 0 1 4 0 0 5 0 1 , 4.56/1.42 3 5 4 5 1 4 0 -> 1 1 1 0 0 3 3 1 2 5 } 4.56/1.42 4.56/1.42 4.56/1.42 The system was filtered by the following matrix interpretation 4.56/1.42 of type E_J with J = {1,...,2} and dimension 8: 4.56/1.42 4.56/1.42 2 is interpreted by 4.56/1.42 / \ 4.56/1.42 | 1 0 0 0 0 0 0 0 | 4.56/1.42 | 0 1 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 0 | 4.56/1.42 \ / 4.56/1.42 5 is interpreted by 4.56/1.42 / \ 4.56/1.42 | 1 0 0 0 0 0 0 0 | 4.56/1.42 | 0 1 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 1 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 1 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 0 | 4.56/1.42 \ / 4.56/1.42 3 is interpreted by 4.56/1.42 / \ 4.56/1.42 | 1 0 1 0 0 0 0 0 | 4.56/1.42 | 0 1 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 0 | 4.56/1.42 \ / 4.56/1.42 0 is interpreted by 4.56/1.42 / \ 4.56/1.42 | 1 0 0 0 0 0 0 0 | 4.56/1.42 | 0 1 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 0 | 4.56/1.42 | 0 1 0 0 0 0 0 0 | 4.56/1.42 \ / 4.56/1.42 1 is interpreted by 4.56/1.42 / \ 4.56/1.42 | 1 0 0 0 0 0 0 0 | 4.56/1.42 | 0 1 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 1 0 | 4.56/1.42 | 0 0 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 0 | 4.56/1.42 \ / 4.56/1.42 4 is interpreted by 4.56/1.42 / \ 4.56/1.42 | 1 0 0 0 0 0 0 0 | 4.56/1.42 | 0 1 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 1 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 0 1 | 4.56/1.42 | 0 0 0 0 0 0 0 0 | 4.56/1.42 \ / 4.56/1.42 4.56/1.42 Remains to prove termination of the 6-rule system 4.56/1.42 { 2 5 3 0 -> 1 0 0 1 3 0 4 5 1 2 , 4.56/1.42 1 3 5 4 3 -> 2 1 4 1 4 0 3 0 1 1 , 4.56/1.42 5 1 3 5 0 -> 5 1 4 3 0 4 4 5 2 1 , 4.56/1.42 3 5 4 3 5 2 -> 2 0 5 2 0 5 2 2 3 2 , 4.56/1.42 5 4 5 1 1 2 -> 5 4 0 3 3 3 3 2 5 5 , 4.56/1.42 5 5 5 5 5 3 -> 5 5 0 1 4 0 0 5 0 1 } 4.56/1.42 4.56/1.42 4.56/1.42 The system was filtered by the following matrix interpretation 4.56/1.42 of type E_J with J = {1,...,2} and dimension 5: 4.56/1.42 4.56/1.42 2 is interpreted by 4.56/1.42 / \ 4.56/1.42 | 1 0 1 0 0 | 4.56/1.42 | 0 1 0 0 0 | 4.56/1.42 | 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 | 4.56/1.42 \ / 4.56/1.42 5 is interpreted by 4.56/1.42 / \ 4.56/1.42 | 1 0 0 0 0 | 4.56/1.42 | 0 1 0 0 0 | 4.56/1.42 | 0 0 0 1 0 | 4.56/1.42 | 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 | 4.56/1.42 \ / 4.56/1.42 3 is interpreted by 4.56/1.42 / \ 4.56/1.42 | 1 0 0 0 0 | 4.56/1.42 | 0 1 0 0 0 | 4.56/1.42 | 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 1 | 4.56/1.42 | 0 0 0 0 0 | 4.56/1.42 \ / 4.56/1.42 0 is interpreted by 4.56/1.42 / \ 4.56/1.42 | 1 0 1 0 0 | 4.56/1.42 | 0 1 0 0 0 | 4.56/1.42 | 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 | 4.56/1.42 | 0 1 0 0 0 | 4.56/1.42 \ / 4.56/1.42 1 is interpreted by 4.56/1.42 / \ 4.56/1.42 | 1 0 0 0 0 | 4.56/1.42 | 0 1 0 0 0 | 4.56/1.42 | 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 | 4.56/1.42 \ / 4.56/1.42 4 is interpreted by 4.56/1.42 / \ 4.56/1.42 | 1 0 0 0 0 | 4.56/1.42 | 0 1 0 0 0 | 4.56/1.42 | 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 | 4.56/1.42 \ / 4.56/1.42 4.56/1.42 Remains to prove termination of the 5-rule system 4.56/1.42 { 1 3 5 4 3 -> 2 1 4 1 4 0 3 0 1 1 , 4.56/1.42 5 1 3 5 0 -> 5 1 4 3 0 4 4 5 2 1 , 4.56/1.42 3 5 4 3 5 2 -> 2 0 5 2 0 5 2 2 3 2 , 4.56/1.42 5 4 5 1 1 2 -> 5 4 0 3 3 3 3 2 5 5 , 4.56/1.42 5 5 5 5 5 3 -> 5 5 0 1 4 0 0 5 0 1 } 4.56/1.42 4.56/1.42 4.56/1.42 The system was filtered by the following matrix interpretation 4.56/1.42 of type E_J with J = {1,...,2} and dimension 6: 4.56/1.42 4.56/1.42 2 is interpreted by 4.56/1.42 / \ 4.56/1.42 | 1 0 1 0 0 0 | 4.56/1.42 | 0 1 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 | 4.56/1.42 \ / 4.56/1.42 5 is interpreted by 4.56/1.42 / \ 4.56/1.42 | 1 0 1 0 0 0 | 4.56/1.42 | 0 1 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 1 | 4.56/1.42 | 0 0 0 0 0 0 | 4.56/1.42 \ / 4.56/1.42 3 is interpreted by 4.56/1.42 / \ 4.56/1.42 | 1 0 0 0 0 0 | 4.56/1.42 | 0 1 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 1 0 | 4.56/1.42 | 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 | 4.56/1.42 \ / 4.56/1.42 0 is interpreted by 4.56/1.42 / \ 4.56/1.42 | 1 0 0 1 0 0 | 4.56/1.42 | 0 1 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 | 4.56/1.42 | 0 1 0 0 0 0 | 4.56/1.42 \ / 4.56/1.42 1 is interpreted by 4.56/1.42 / \ 4.56/1.42 | 1 0 0 0 0 0 | 4.56/1.42 | 0 1 0 0 0 0 | 4.56/1.42 | 0 0 0 1 0 0 | 4.56/1.42 | 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 | 4.56/1.42 \ / 4.56/1.42 4 is interpreted by 4.56/1.42 / \ 4.56/1.42 | 1 0 0 0 0 0 | 4.56/1.42 | 0 1 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 | 4.56/1.42 \ / 4.56/1.42 4.56/1.42 Remains to prove termination of the 4-rule system 4.56/1.42 { 1 3 5 4 3 -> 2 1 4 1 4 0 3 0 1 1 , 4.56/1.42 3 5 4 3 5 2 -> 2 0 5 2 0 5 2 2 3 2 , 4.56/1.42 5 4 5 1 1 2 -> 5 4 0 3 3 3 3 2 5 5 , 4.56/1.42 5 5 5 5 5 3 -> 5 5 0 1 4 0 0 5 0 1 } 4.56/1.42 4.56/1.42 4.56/1.42 The system was filtered by the following matrix interpretation 4.56/1.42 of type E_J with J = {1,...,2} and dimension 6: 4.56/1.42 4.56/1.42 2 is interpreted by 4.56/1.42 / \ 4.56/1.42 | 1 0 0 0 0 0 | 4.56/1.42 | 0 1 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 | 4.56/1.42 \ / 4.56/1.42 5 is interpreted by 4.56/1.42 / \ 4.56/1.42 | 1 0 0 0 0 0 | 4.56/1.42 | 0 1 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 1 0 | 4.56/1.42 | 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 | 4.56/1.42 \ / 4.56/1.42 3 is interpreted by 4.56/1.42 / \ 4.56/1.42 | 1 0 1 0 0 0 | 4.56/1.42 | 0 1 0 0 0 0 | 4.56/1.42 | 0 0 0 1 0 0 | 4.56/1.42 | 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 | 4.56/1.42 | 0 1 0 0 0 0 | 4.56/1.42 \ / 4.56/1.42 0 is interpreted by 4.56/1.42 / \ 4.56/1.42 | 1 0 0 0 0 0 | 4.56/1.42 | 0 1 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 | 4.56/1.42 \ / 4.56/1.42 1 is interpreted by 4.56/1.42 / \ 4.56/1.42 | 1 0 1 0 0 0 | 4.56/1.42 | 0 1 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 | 4.56/1.42 \ / 4.56/1.42 4 is interpreted by 4.56/1.42 / \ 4.56/1.42 | 1 0 0 0 0 0 | 4.56/1.42 | 0 1 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 0 | 4.56/1.42 | 0 0 0 0 0 1 | 4.56/1.42 | 0 0 0 0 0 0 | 4.56/1.42 \ / 4.56/1.42 4.56/1.42 Remains to prove termination of the 3-rule system 4.56/1.42 { 3 5 4 3 5 2 -> 2 0 5 2 0 5 2 2 3 2 , 4.56/1.42 5 4 5 1 1 2 -> 5 4 0 3 3 3 3 2 5 5 , 4.56/1.42 5 5 5 5 5 3 -> 5 5 0 1 4 0 0 5 0 1 } 4.56/1.42 4.56/1.42 4.56/1.42 The system was filtered by the following matrix interpretation 4.56/1.42 of type E_J with J = {1,...,2} and dimension 2: 4.56/1.42 4.56/1.42 2 is interpreted by 4.56/1.42 / \ 4.56/1.42 | 1 0 | 4.56/1.42 | 0 1 | 4.56/1.42 \ / 4.56/1.42 5 is interpreted by 4.56/1.42 / \ 4.56/1.42 | 1 2 | 4.56/1.42 | 0 1 | 4.56/1.42 \ / 4.56/1.42 3 is interpreted by 4.56/1.42 / \ 4.56/1.42 | 1 0 | 4.56/1.42 | 0 1 | 4.56/1.42 \ / 4.56/1.42 0 is interpreted by 4.56/1.42 / \ 4.56/1.42 | 1 0 | 4.56/1.42 | 0 1 | 4.56/1.42 \ / 4.56/1.42 1 is interpreted by 4.56/1.42 / \ 4.56/1.42 | 1 1 | 4.56/1.42 | 0 1 | 4.56/1.42 \ / 4.56/1.42 4 is interpreted by 4.56/1.42 / \ 4.56/1.42 | 1 0 | 4.56/1.42 | 0 1 | 4.56/1.42 \ / 4.56/1.42 4.56/1.42 Remains to prove termination of the 2-rule system 4.56/1.42 { 3 5 4 3 5 2 -> 2 0 5 2 0 5 2 2 3 2 , 4.56/1.42 5 4 5 1 1 2 -> 5 4 0 3 3 3 3 2 5 5 } 4.56/1.42 4.56/1.42 4.56/1.42 The system was filtered by the following matrix interpretation 4.56/1.42 of type E_J with J = {1,...,2} and dimension 2: 4.56/1.42 4.56/1.42 2 is interpreted by 4.56/1.42 / \ 4.56/1.42 | 1 0 | 4.56/1.42 | 0 1 | 4.56/1.42 \ / 4.56/1.42 5 is interpreted by 4.56/1.42 / \ 4.56/1.42 | 1 0 | 4.56/1.42 | 0 1 | 4.56/1.42 \ / 4.56/1.42 3 is interpreted by 4.56/1.42 / \ 4.56/1.42 | 1 0 | 4.56/1.42 | 0 1 | 4.56/1.42 \ / 4.56/1.42 0 is interpreted by 4.56/1.42 / \ 4.56/1.42 | 1 0 | 4.56/1.42 | 0 1 | 4.56/1.42 \ / 4.56/1.42 1 is interpreted by 4.56/1.42 / \ 4.56/1.42 | 1 1 | 4.56/1.42 | 0 1 | 4.56/1.42 \ / 4.56/1.42 4 is interpreted by 4.56/1.42 / \ 4.56/1.42 | 1 0 | 4.56/1.42 | 0 1 | 4.56/1.42 \ / 4.56/1.42 4.56/1.42 Remains to prove termination of the 1-rule system 4.56/1.42 { 3 5 4 3 5 2 -> 2 0 5 2 0 5 2 2 3 2 } 4.56/1.42 4.56/1.42 4.56/1.42 The system was filtered by the following matrix interpretation 4.56/1.42 of type E_J with J = {1,...,2} and dimension 2: 4.56/1.42 4.56/1.42 2 is interpreted by 4.56/1.42 / \ 4.56/1.42 | 1 0 | 4.56/1.42 | 0 1 | 4.56/1.42 \ / 4.56/1.42 5 is interpreted by 4.56/1.42 / \ 4.56/1.42 | 1 0 | 4.56/1.42 | 0 1 | 4.56/1.42 \ / 4.56/1.42 3 is interpreted by 4.56/1.42 / \ 4.56/1.42 | 1 1 | 4.56/1.42 | 0 1 | 4.56/1.42 \ / 4.56/1.42 0 is interpreted by 4.56/1.42 / \ 4.56/1.42 | 1 0 | 4.56/1.42 | 0 1 | 4.56/1.42 \ / 4.56/1.42 1 is interpreted by 4.56/1.42 / \ 4.56/1.42 | 1 0 | 4.56/1.42 | 0 1 | 4.56/1.42 \ / 4.56/1.42 4 is interpreted by 4.56/1.42 / \ 4.56/1.42 | 1 0 | 4.56/1.42 | 0 1 | 4.56/1.42 \ / 4.56/1.42 4.56/1.42 Remains to prove termination of the 0-rule system 4.56/1.42 { } 4.56/1.42 4.56/1.42 4.56/1.42 The system is trivially terminating. 4.56/1.43 EOF