1.75/0.65 YES 1.91/0.68 1.91/0.68 1.91/0.68 1.91/0.68 1.91/0.68 The system was filtered by the following matrix interpretation 1.91/0.68 of type E_J with J = {1,...,2} and dimension 2: 1.91/0.68 1.91/0.68 0 is interpreted by 1.91/0.68 / \ 1.91/0.68 | 1 2 | 1.91/0.68 | 0 1 | 1.91/0.68 \ / 1.91/0.68 4 is interpreted by 1.91/0.68 / \ 1.91/0.68 | 1 5 | 1.91/0.68 | 0 1 | 1.91/0.68 \ / 1.91/0.68 2 is interpreted by 1.91/0.68 / \ 1.91/0.68 | 1 0 | 1.91/0.68 | 0 1 | 1.91/0.68 \ / 1.91/0.68 5 is interpreted by 1.91/0.68 / \ 1.91/0.68 | 1 0 | 1.91/0.68 | 0 1 | 1.91/0.68 \ / 1.91/0.68 1 is interpreted by 1.91/0.68 / \ 1.91/0.68 | 1 1 | 1.91/0.68 | 0 1 | 1.91/0.68 \ / 1.91/0.68 3 is interpreted by 1.91/0.68 / \ 1.91/0.68 | 1 1 | 1.91/0.68 | 0 1 | 1.91/0.68 \ / 1.91/0.68 1.91/0.68 Remains to prove termination of the 6-rule system 1.91/0.68 { 0 2 4 3 3 1 4 0 1 3 2 2 -> 3 2 4 4 3 5 1 5 5 3 3 1 0 2 2 1 , 1.91/0.68 3 0 2 1 1 4 3 1 4 2 1 0 -> 5 2 0 3 0 1 2 5 4 5 5 5 4 0 0 , 1.91/0.68 3 3 1 3 4 0 1 5 5 3 4 1 -> 1 5 4 5 5 1 5 1 2 1 5 4 4 2 , 1.91/0.68 3 3 3 3 5 1 3 4 0 3 0 2 -> 5 5 5 5 4 5 3 3 3 3 5 0 0 1 5 0 , 1.91/0.68 4 3 0 4 0 3 4 2 3 5 1 1 -> 4 4 0 0 5 0 2 0 2 1 1 0 0 5 , 1.91/0.68 5 0 3 4 4 0 3 1 0 3 3 2 -> 1 5 3 1 4 1 5 4 1 1 1 5 0 0 2 5 } 1.91/0.68 1.91/0.68 1.91/0.68 The system was filtered by the following matrix interpretation 1.91/0.68 of type E_J with J = {1,...,2} and dimension 13: 1.91/0.68 1.91/0.68 0 is interpreted by 1.91/0.68 / \ 1.91/0.68 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 1.91/0.68 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 1.91/0.68 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 1.91/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.91/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.91/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.91/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.91/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.91/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.91/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.91/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.91/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.91/0.68 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 1.91/0.68 \ / 1.91/0.68 4 is interpreted by 1.91/0.68 / \ 1.91/0.68 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 1.91/0.68 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 1.91/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.91/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.91/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.91/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.91/0.68 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 1.91/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.91/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.91/0.68 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 1.91/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.91/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.91/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.91/0.68 \ / 1.91/0.68 2 is interpreted by 1.91/0.68 / \ 1.91/0.68 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 1.91/0.68 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 1.91/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.91/0.68 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 1.91/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.91/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.91/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.91/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.91/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.91/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.91/0.68 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 1.91/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.91/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.91/0.68 \ / 1.91/0.68 5 is interpreted by 1.91/0.68 / \ 1.91/0.68 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 1.91/0.68 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 1.91/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.91/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.91/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.91/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.91/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.91/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.91/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.91/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.91/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.91/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.91/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.91/0.68 \ / 1.91/0.68 1 is interpreted by 1.91/0.68 / \ 1.91/0.68 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 1.91/0.68 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 1.91/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.91/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.91/0.68 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 1.91/0.68 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 1.91/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.91/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.91/0.68 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 1.91/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.91/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.91/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 1.91/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.91/0.68 \ / 1.91/0.68 3 is interpreted by 1.91/0.68 / \ 1.91/0.68 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 1.91/0.68 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 1.91/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.91/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.91/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.91/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.91/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.91/0.68 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 1.91/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.91/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.91/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.91/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.91/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.91/0.68 \ / 1.91/0.68 1.91/0.68 Remains to prove termination of the 5-rule system 1.91/0.68 { 0 2 4 3 3 1 4 0 1 3 2 2 -> 3 2 4 4 3 5 1 5 5 3 3 1 0 2 2 1 , 1.91/0.68 3 3 1 3 4 0 1 5 5 3 4 1 -> 1 5 4 5 5 1 5 1 2 1 5 4 4 2 , 1.91/0.68 3 3 3 3 5 1 3 4 0 3 0 2 -> 5 5 5 5 4 5 3 3 3 3 5 0 0 1 5 0 , 1.91/0.68 4 3 0 4 0 3 4 2 3 5 1 1 -> 4 4 0 0 5 0 2 0 2 1 1 0 0 5 , 1.91/0.68 5 0 3 4 4 0 3 1 0 3 3 2 -> 1 5 3 1 4 1 5 4 1 1 1 5 0 0 2 5 } 1.91/0.68 1.91/0.68 1.91/0.68 The system was filtered by the following matrix interpretation 1.91/0.68 of type E_J with J = {1,...,2} and dimension 2: 1.91/0.68 1.91/0.68 0 is interpreted by 1.91/0.68 / \ 1.91/0.68 | 1 1 | 1.91/0.68 | 0 1 | 1.91/0.68 \ / 1.91/0.68 4 is interpreted by 1.91/0.68 / \ 1.91/0.68 | 1 2 | 1.91/0.68 | 0 1 | 1.91/0.68 \ / 1.91/0.68 2 is interpreted by 1.91/0.68 / \ 1.91/0.68 | 1 0 | 1.91/0.68 | 0 1 | 1.91/0.68 \ / 1.91/0.68 5 is interpreted by 1.91/0.68 / \ 1.91/0.68 | 1 0 | 1.91/0.68 | 0 1 | 1.91/0.68 \ / 1.91/0.68 1 is interpreted by 1.91/0.68 / \ 1.91/0.68 | 1 0 | 1.91/0.68 | 0 1 | 1.91/0.68 \ / 1.91/0.68 3 is interpreted by 1.91/0.68 / \ 1.91/0.68 | 1 1 | 1.91/0.68 | 0 1 | 1.91/0.68 \ / 1.91/0.68 1.91/0.68 Remains to prove termination of the 1-rule system 1.91/0.68 { 0 2 4 3 3 1 4 0 1 3 2 2 -> 3 2 4 4 3 5 1 5 5 3 3 1 0 2 2 1 } 1.91/0.68 1.91/0.68 1.91/0.68 The system was filtered by the following matrix interpretation 1.91/0.68 of type E_J with J = {1,...,2} and dimension 2: 1.91/0.68 1.91/0.68 0 is interpreted by 1.91/0.68 / \ 1.91/0.68 | 1 1 | 1.91/0.68 | 0 1 | 1.91/0.68 \ / 1.91/0.68 4 is interpreted by 1.91/0.68 / \ 1.91/0.68 | 1 0 | 1.91/0.68 | 0 1 | 1.91/0.68 \ / 1.91/0.68 2 is interpreted by 1.91/0.68 / \ 1.91/0.68 | 1 0 | 1.91/0.68 | 0 1 | 1.91/0.68 \ / 1.91/0.68 5 is interpreted by 1.91/0.68 / \ 1.91/0.68 | 1 0 | 1.91/0.68 | 0 1 | 1.91/0.68 \ / 1.91/0.68 1 is interpreted by 1.91/0.68 / \ 1.91/0.68 | 1 0 | 1.91/0.68 | 0 1 | 1.91/0.68 \ / 1.91/0.68 3 is interpreted by 1.91/0.68 / \ 1.91/0.68 | 1 0 | 1.91/0.68 | 0 1 | 1.91/0.68 \ / 1.91/0.68 1.91/0.68 Remains to prove termination of the 0-rule system 1.91/0.68 { } 1.91/0.68 1.91/0.68 1.91/0.68 The system is trivially terminating. 1.91/0.72 EOF