2.87/0.91 YES 3.01/0.95 3.01/0.95 3.01/0.95 3.01/0.95 3.01/0.95 The system was filtered by the following matrix interpretation 3.01/0.95 of type E_J with J = {1,...,2} and dimension 2: 3.01/0.95 3.01/0.95 0 is interpreted by 3.01/0.95 / \ 3.01/0.95 | 1 4 | 3.01/0.95 | 0 1 | 3.01/0.95 \ / 3.01/0.95 1 is interpreted by 3.01/0.95 / \ 3.01/0.95 | 1 4 | 3.01/0.95 | 0 1 | 3.01/0.95 \ / 3.01/0.95 2 is interpreted by 3.01/0.95 / \ 3.01/0.95 | 1 4 | 3.01/0.95 | 0 1 | 3.01/0.95 \ / 3.01/0.95 3 is interpreted by 3.01/0.95 / \ 3.01/0.95 | 1 5 | 3.01/0.95 | 0 1 | 3.01/0.95 \ / 3.01/0.95 4 is interpreted by 3.01/0.95 / \ 3.01/0.95 | 1 2 | 3.01/0.95 | 0 1 | 3.01/0.95 \ / 3.01/0.95 5 is interpreted by 3.01/0.95 / \ 3.01/0.95 | 1 2 | 3.01/0.95 | 0 1 | 3.01/0.95 \ / 3.01/0.95 3.01/0.95 Remains to prove termination of the 11-rule system 3.01/0.95 { 0 0 1 0 2 1 3 4 0 4 5 5 3 4 5 1 -> 0 2 5 3 4 2 5 4 0 1 4 2 2 3 4 0 , 3.01/0.95 0 3 0 4 4 4 2 3 2 4 5 0 3 0 1 1 -> 5 2 2 5 4 0 2 2 5 0 0 2 3 2 0 0 , 3.01/0.95 0 3 1 0 4 1 0 2 4 5 3 4 2 3 4 1 -> 0 3 0 4 4 4 2 3 2 4 5 0 3 0 1 1 , 3.01/0.95 0 3 1 0 4 1 0 2 4 5 3 4 2 3 4 1 -> 0 5 3 1 3 1 3 5 3 2 5 5 4 2 5 3 , 3.01/0.95 0 3 1 0 4 1 0 2 4 5 3 4 2 3 4 1 -> 0 5 3 5 1 2 1 1 3 3 0 5 4 1 1 5 , 3.01/0.95 0 3 1 0 4 1 0 2 4 5 3 4 2 3 4 1 -> 5 2 2 5 4 0 2 2 5 0 0 2 3 2 0 0 , 3.01/0.95 0 5 0 2 0 2 4 4 4 1 2 4 0 3 3 3 -> 0 5 3 1 3 1 3 5 3 2 5 5 4 2 5 3 , 3.01/0.95 1 3 2 1 3 4 5 5 0 1 0 5 3 2 0 3 -> 1 0 2 3 5 3 2 4 2 4 3 3 2 5 2 2 , 3.01/0.95 1 3 2 1 3 4 5 5 0 1 0 5 3 2 0 3 -> 3 2 1 3 1 1 4 3 2 2 4 5 4 2 1 3 , 3.01/0.95 3 4 3 4 3 5 0 3 4 0 3 0 1 5 0 3 -> 3 2 1 3 1 1 4 3 2 2 4 5 4 2 1 3 , 3.01/0.95 4 2 4 5 3 5 0 1 5 2 4 2 3 0 5 0 -> 4 5 2 5 4 1 4 2 1 1 3 2 4 3 5 0 } 3.01/0.95 3.01/0.95 3.01/0.95 The system was filtered by the following matrix interpretation 3.01/0.95 of type E_J with J = {1,...,2} and dimension 17: 3.01/0.95 3.01/0.95 0 is interpreted by 3.01/0.95 / \ 3.01/0.95 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.01/0.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.01/0.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.01/0.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.01/0.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.01/0.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.01/0.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.01/0.95 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 3.01/0.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.01/0.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.01/0.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.01/0.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.01/0.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.01/0.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.01/0.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 3.01/0.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.01/0.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.01/0.95 \ / 3.01/0.95 1 is interpreted by 3.01/0.95 / \ 3.01/0.95 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.01/0.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.01/0.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.01/0.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.01/0.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.01/0.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.01/0.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.01/0.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.01/0.95 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 3.01/0.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.01/0.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.01/0.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.01/0.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.01/0.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.01/0.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.01/0.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.01/0.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.01/0.95 \ / 3.01/0.95 2 is interpreted by 3.01/0.95 / \ 3.01/0.95 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.01/0.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.01/0.95 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.01/0.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.01/0.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.01/0.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.01/0.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.01/0.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.01/0.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.01/0.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.01/0.95 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 3.01/0.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.01/0.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 3.01/0.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.01/0.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.01/0.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.01/0.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.01/0.95 \ / 3.01/0.95 3 is interpreted by 3.01/0.95 / \ 3.01/0.95 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.01/0.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.01/0.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.01/0.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.01/0.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.01/0.95 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 3.01/0.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.01/0.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.01/0.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.01/0.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.01/0.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.01/0.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.01/0.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.01/0.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 3.01/0.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.01/0.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.01/0.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.01/0.95 \ / 3.01/0.95 4 is interpreted by 3.01/0.95 / \ 3.01/0.95 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.01/0.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.01/0.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.01/0.95 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 3.01/0.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.01/0.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.01/0.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.01/0.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.01/0.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.01/0.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.01/0.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.01/0.95 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 3.01/0.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.01/0.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.01/0.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.01/0.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.01/0.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.01/0.95 \ / 3.01/0.95 5 is interpreted by 3.01/0.95 / \ 3.01/0.95 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.01/0.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.01/0.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.01/0.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.01/0.95 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 3.01/0.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.01/0.95 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 3.01/0.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.01/0.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.01/0.95 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 3.01/0.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.01/0.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.01/0.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.01/0.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.01/0.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.01/0.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 3.01/0.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.01/0.95 \ / 3.01/0.95 3.01/0.95 Remains to prove termination of the 10-rule system 3.01/0.95 { 0 0 1 0 2 1 3 4 0 4 5 5 3 4 5 1 -> 0 2 5 3 4 2 5 4 0 1 4 2 2 3 4 0 , 3.01/0.95 0 3 0 4 4 4 2 3 2 4 5 0 3 0 1 1 -> 5 2 2 5 4 0 2 2 5 0 0 2 3 2 0 0 , 3.01/0.95 0 3 1 0 4 1 0 2 4 5 3 4 2 3 4 1 -> 0 3 0 4 4 4 2 3 2 4 5 0 3 0 1 1 , 3.01/0.95 0 3 1 0 4 1 0 2 4 5 3 4 2 3 4 1 -> 0 5 3 1 3 1 3 5 3 2 5 5 4 2 5 3 , 3.01/0.95 0 3 1 0 4 1 0 2 4 5 3 4 2 3 4 1 -> 0 5 3 5 1 2 1 1 3 3 0 5 4 1 1 5 , 3.01/0.95 0 3 1 0 4 1 0 2 4 5 3 4 2 3 4 1 -> 5 2 2 5 4 0 2 2 5 0 0 2 3 2 0 0 , 3.01/0.95 0 5 0 2 0 2 4 4 4 1 2 4 0 3 3 3 -> 0 5 3 1 3 1 3 5 3 2 5 5 4 2 5 3 , 3.01/0.95 1 3 2 1 3 4 5 5 0 1 0 5 3 2 0 3 -> 1 0 2 3 5 3 2 4 2 4 3 3 2 5 2 2 , 3.01/0.95 1 3 2 1 3 4 5 5 0 1 0 5 3 2 0 3 -> 3 2 1 3 1 1 4 3 2 2 4 5 4 2 1 3 , 3.01/0.95 3 4 3 4 3 5 0 3 4 0 3 0 1 5 0 3 -> 3 2 1 3 1 1 4 3 2 2 4 5 4 2 1 3 } 3.01/0.95 3.01/0.95 3.01/0.95 The system was filtered by the following matrix interpretation 3.01/0.95 of type E_J with J = {1,...,2} and dimension 2: 3.01/0.95 3.01/0.95 0 is interpreted by 3.01/0.95 / \ 3.01/0.95 | 1 3 | 3.01/0.95 | 0 1 | 3.01/0.95 \ / 3.01/0.95 1 is interpreted by 3.01/0.95 / \ 3.01/0.95 | 1 4 | 3.01/0.95 | 0 1 | 3.01/0.95 \ / 3.01/0.95 2 is interpreted by 3.01/0.95 / \ 3.01/0.95 | 1 0 | 3.01/0.95 | 0 1 | 3.01/0.95 \ / 3.01/0.95 3 is interpreted by 3.01/0.95 / \ 3.01/0.95 | 1 5 | 3.01/0.95 | 0 1 | 3.01/0.95 \ / 3.01/0.95 4 is interpreted by 3.01/0.95 / \ 3.01/0.95 | 1 2 | 3.01/0.95 | 0 1 | 3.01/0.95 \ / 3.01/0.95 5 is interpreted by 3.01/0.95 / \ 3.01/0.95 | 1 0 | 3.01/0.95 | 0 1 | 3.01/0.95 \ / 3.01/0.95 3.01/0.95 Remains to prove termination of the 0-rule system 3.01/0.95 { } 3.01/0.95 3.01/0.95 3.01/0.95 The system is trivially terminating. 3.01/0.98 EOF