1.56/0.63 YES 2.01/0.68 2.01/0.68 2.01/0.68 2.01/0.68 2.01/0.68 The system was filtered by the following matrix interpretation 2.01/0.68 of type E_J with J = {1,...,2} and dimension 2: 2.01/0.68 2.01/0.68 0 is interpreted by 2.01/0.68 / \ 2.01/0.68 | 1 1 | 2.01/0.68 | 0 1 | 2.01/0.68 \ / 2.01/0.68 2 is interpreted by 2.01/0.68 / \ 2.01/0.68 | 1 1 | 2.01/0.68 | 0 1 | 2.01/0.68 \ / 2.01/0.68 1 is interpreted by 2.01/0.68 / \ 2.01/0.68 | 1 1 | 2.01/0.68 | 0 1 | 2.01/0.68 \ / 2.01/0.68 3 is interpreted by 2.01/0.68 / \ 2.01/0.68 | 1 1 | 2.01/0.68 | 0 1 | 2.01/0.68 \ / 2.01/0.68 4 is interpreted by 2.01/0.68 / \ 2.01/0.68 | 1 0 | 2.01/0.68 | 0 1 | 2.01/0.68 \ / 2.01/0.68 5 is interpreted by 2.01/0.68 / \ 2.01/0.68 | 1 0 | 2.01/0.68 | 0 1 | 2.01/0.68 \ / 2.01/0.68 2.01/0.68 Remains to prove termination of the 8-rule system 2.01/0.68 { 1 0 2 2 5 1 3 1 3 3 2 5 -> 3 5 3 5 0 5 2 3 0 2 4 0 2 3 4 , 2.01/0.68 1 5 1 1 1 5 1 3 2 3 1 5 -> 1 3 4 4 4 5 3 3 3 5 2 1 5 4 1 5 2 5 , 2.01/0.68 2 0 2 4 5 1 2 2 5 3 5 0 -> 0 0 0 5 4 1 5 4 1 4 3 4 5 3 4 5 2 , 2.01/0.68 2 2 1 0 2 5 1 2 1 5 4 5 -> 4 4 3 5 4 5 4 0 2 2 0 1 3 4 4 3 5 , 2.01/0.68 2 3 1 1 3 0 3 0 4 0 5 3 -> 2 0 1 2 4 3 4 1 4 4 3 4 1 4 4 0 3 , 2.01/0.68 2 5 1 3 0 0 4 5 3 1 3 4 -> 0 4 1 5 4 0 5 4 0 2 4 0 1 2 , 2.01/0.68 3 3 1 2 5 1 2 0 5 5 0 0 -> 3 4 4 5 4 1 3 1 4 4 0 5 4 3 2 0 2 , 2.01/0.68 3 5 5 0 2 3 5 0 5 0 4 0 -> 0 0 4 5 4 5 2 1 3 0 5 4 4 2 } 2.01/0.68 2.01/0.68 2.01/0.68 The system was filtered by the following matrix interpretation 2.01/0.68 of type E_J with J = {1,...,2} and dimension 13: 2.01/0.68 2.01/0.68 0 is interpreted by 2.01/0.68 / \ 2.01/0.68 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 \ / 2.01/0.68 2 is interpreted by 2.01/0.68 / \ 2.01/0.68 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 \ / 2.01/0.68 1 is interpreted by 2.01/0.68 / \ 2.01/0.68 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 \ / 2.01/0.68 3 is interpreted by 2.01/0.68 / \ 2.01/0.68 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 \ / 2.01/0.68 4 is interpreted by 2.01/0.68 / \ 2.01/0.68 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 \ / 2.01/0.68 5 is interpreted by 2.01/0.68 / \ 2.01/0.68 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 \ / 2.01/0.68 2.01/0.68 Remains to prove termination of the 7-rule system 2.01/0.68 { 1 5 1 1 1 5 1 3 2 3 1 5 -> 1 3 4 4 4 5 3 3 3 5 2 1 5 4 1 5 2 5 , 2.01/0.68 2 0 2 4 5 1 2 2 5 3 5 0 -> 0 0 0 5 4 1 5 4 1 4 3 4 5 3 4 5 2 , 2.01/0.68 2 2 1 0 2 5 1 2 1 5 4 5 -> 4 4 3 5 4 5 4 0 2 2 0 1 3 4 4 3 5 , 2.01/0.68 2 3 1 1 3 0 3 0 4 0 5 3 -> 2 0 1 2 4 3 4 1 4 4 3 4 1 4 4 0 3 , 2.01/0.68 2 5 1 3 0 0 4 5 3 1 3 4 -> 0 4 1 5 4 0 5 4 0 2 4 0 1 2 , 2.01/0.68 3 3 1 2 5 1 2 0 5 5 0 0 -> 3 4 4 5 4 1 3 1 4 4 0 5 4 3 2 0 2 , 2.01/0.68 3 5 5 0 2 3 5 0 5 0 4 0 -> 0 0 4 5 4 5 2 1 3 0 5 4 4 2 } 2.01/0.68 2.01/0.68 2.01/0.68 The system was filtered by the following matrix interpretation 2.01/0.68 of type E_J with J = {1,...,2} and dimension 13: 2.01/0.68 2.01/0.68 0 is interpreted by 2.01/0.68 / \ 2.01/0.68 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 \ / 2.01/0.68 2 is interpreted by 2.01/0.68 / \ 2.01/0.68 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 \ / 2.01/0.68 1 is interpreted by 2.01/0.68 / \ 2.01/0.68 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 \ / 2.01/0.68 3 is interpreted by 2.01/0.68 / \ 2.01/0.68 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 \ / 2.01/0.68 4 is interpreted by 2.01/0.68 / \ 2.01/0.68 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 \ / 2.01/0.68 5 is interpreted by 2.01/0.68 / \ 2.01/0.68 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 2.01/0.68 \ / 2.01/0.68 2.01/0.68 Remains to prove termination of the 6-rule system 2.01/0.68 { 2 0 2 4 5 1 2 2 5 3 5 0 -> 0 0 0 5 4 1 5 4 1 4 3 4 5 3 4 5 2 , 2.01/0.68 2 2 1 0 2 5 1 2 1 5 4 5 -> 4 4 3 5 4 5 4 0 2 2 0 1 3 4 4 3 5 , 2.01/0.68 2 3 1 1 3 0 3 0 4 0 5 3 -> 2 0 1 2 4 3 4 1 4 4 3 4 1 4 4 0 3 , 2.01/0.68 2 5 1 3 0 0 4 5 3 1 3 4 -> 0 4 1 5 4 0 5 4 0 2 4 0 1 2 , 2.01/0.68 3 3 1 2 5 1 2 0 5 5 0 0 -> 3 4 4 5 4 1 3 1 4 4 0 5 4 3 2 0 2 , 2.01/0.68 3 5 5 0 2 3 5 0 5 0 4 0 -> 0 0 4 5 4 5 2 1 3 0 5 4 4 2 } 2.01/0.68 2.01/0.68 2.01/0.68 The system was filtered by the following matrix interpretation 2.01/0.68 of type E_J with J = {1,...,2} and dimension 2: 2.01/0.68 2.01/0.68 0 is interpreted by 2.01/0.68 / \ 2.01/0.68 | 1 0 | 2.01/0.68 | 0 1 | 2.01/0.68 \ / 2.01/0.68 2 is interpreted by 2.01/0.68 / \ 2.01/0.68 | 1 2 | 2.01/0.68 | 0 1 | 2.01/0.68 \ / 2.01/0.68 1 is interpreted by 2.01/0.68 / \ 2.01/0.68 | 1 0 | 2.01/0.68 | 0 1 | 2.01/0.68 \ / 2.01/0.68 3 is interpreted by 2.01/0.68 / \ 2.01/0.68 | 1 1 | 2.01/0.68 | 0 1 | 2.01/0.68 \ / 2.01/0.68 4 is interpreted by 2.01/0.68 / \ 2.01/0.68 | 1 0 | 2.01/0.68 | 0 1 | 2.01/0.68 \ / 2.01/0.68 5 is interpreted by 2.01/0.68 / \ 2.01/0.68 | 1 3 | 2.01/0.68 | 0 1 | 2.01/0.68 \ / 2.01/0.68 2.01/0.68 Remains to prove termination of the 0-rule system 2.01/0.68 { } 2.01/0.68 2.01/0.68 2.01/0.68 The system is trivially terminating. 2.01/0.72 EOF