2.03/0.75 YES 2.33/0.86 2.33/0.86 2.33/0.86 The system was filtered by the following matrix interpretation 2.33/0.86 of type E_J with J = {1,...,2} and dimension 2: 2.33/0.86 2.33/0.86 0 is interpreted by 2.33/0.86 / \ 2.33/0.86 | 1 1 | 2.33/0.86 | 0 1 | 2.33/0.86 \ / 2.33/0.86 1 is interpreted by 2.33/0.86 / \ 2.33/0.86 | 1 1 | 2.33/0.86 | 0 1 | 2.33/0.86 \ / 2.33/0.86 2 is interpreted by 2.33/0.86 / \ 2.33/0.86 | 1 1 | 2.33/0.86 | 0 1 | 2.33/0.86 \ / 2.33/0.86 3 is interpreted by 2.33/0.86 / \ 2.33/0.86 | 1 1 | 2.33/0.86 | 0 1 | 2.33/0.86 \ / 2.33/0.86 4 is interpreted by 2.33/0.86 / \ 2.33/0.86 | 1 1 | 2.33/0.86 | 0 1 | 2.33/0.86 \ / 2.33/0.86 5 is interpreted by 2.33/0.86 / \ 2.33/0.86 | 1 1 | 2.33/0.86 | 0 1 | 2.33/0.86 \ / 2.33/0.86 2.33/0.86 Remains to prove termination of the 15-rule system 2.33/0.86 { 0 1 1 -> 2 1 1 , 2.33/0.86 3 4 0 -> 4 5 5 , 2.33/0.86 2 2 1 4 0 -> 2 2 1 3 5 , 2.33/0.86 4 5 3 1 0 0 4 -> 4 5 0 1 4 5 4 , 2.33/0.86 1 3 3 2 1 4 4 0 -> 1 1 3 0 4 4 0 2 , 2.33/0.86 3 4 1 1 0 0 5 0 5 0 -> 3 0 1 0 1 1 3 0 4 5 , 2.33/0.86 4 1 3 0 0 5 1 5 0 1 -> 4 0 4 2 2 3 0 3 0 1 , 2.33/0.86 3 3 0 2 0 1 4 5 5 5 0 -> 1 2 3 5 4 4 0 2 3 5 5 , 2.33/0.86 3 0 2 0 2 1 2 5 4 3 5 4 -> 3 2 2 0 3 0 5 4 5 1 5 4 , 2.33/0.86 3 0 5 4 5 3 0 0 0 5 1 1 -> 3 2 4 1 4 0 3 0 2 1 1 3 , 2.33/0.86 4 1 3 3 0 5 2 3 3 3 0 5 4 3 -> 4 4 2 2 0 3 1 1 5 1 3 0 5 3 , 2.33/0.86 5 5 1 4 1 3 4 2 3 4 3 1 2 0 5 -> 1 3 5 1 1 2 1 2 0 3 0 1 1 2 0 , 2.33/0.86 2 4 0 5 0 0 4 4 2 2 3 5 3 4 5 0 -> 2 3 1 3 0 1 1 1 0 5 5 0 2 3 4 0 , 2.33/0.86 2 5 2 1 1 0 4 3 3 0 4 5 4 3 0 4 1 0 4 0 -> 5 1 1 0 1 3 5 5 0 5 3 4 5 1 0 0 2 3 2 0 , 2.33/0.86 1 3 0 5 3 1 1 1 0 3 3 0 1 3 3 4 3 5 3 0 5 -> 1 5 3 3 1 3 3 4 0 5 5 0 3 2 4 1 2 3 3 4 5 } 2.33/0.86 2.33/0.86 2.33/0.86 The system was filtered by the following matrix interpretation 2.33/0.86 of type E_J with J = {1,...,2} and dimension 15: 2.33/0.86 2.33/0.86 0 is interpreted by 2.33/0.86 / \ 2.33/0.86 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 \ / 2.33/0.86 1 is interpreted by 2.33/0.86 / \ 2.33/0.86 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 \ / 2.33/0.86 2 is interpreted by 2.33/0.86 / \ 2.33/0.86 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 \ / 2.33/0.86 3 is interpreted by 2.33/0.86 / \ 2.33/0.86 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 \ / 2.33/0.86 4 is interpreted by 2.33/0.86 / \ 2.33/0.86 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 \ / 2.33/0.86 5 is interpreted by 2.33/0.86 / \ 2.33/0.86 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 \ / 2.33/0.86 2.33/0.86 Remains to prove termination of the 14-rule system 2.33/0.86 { 0 1 1 -> 2 1 1 , 2.33/0.86 3 4 0 -> 4 5 5 , 2.33/0.86 2 2 1 4 0 -> 2 2 1 3 5 , 2.33/0.86 4 5 3 1 0 0 4 -> 4 5 0 1 4 5 4 , 2.33/0.86 1 3 3 2 1 4 4 0 -> 1 1 3 0 4 4 0 2 , 2.33/0.86 3 4 1 1 0 0 5 0 5 0 -> 3 0 1 0 1 1 3 0 4 5 , 2.33/0.86 4 1 3 0 0 5 1 5 0 1 -> 4 0 4 2 2 3 0 3 0 1 , 2.33/0.86 3 3 0 2 0 1 4 5 5 5 0 -> 1 2 3 5 4 4 0 2 3 5 5 , 2.33/0.86 3 0 2 0 2 1 2 5 4 3 5 4 -> 3 2 2 0 3 0 5 4 5 1 5 4 , 2.33/0.86 3 0 5 4 5 3 0 0 0 5 1 1 -> 3 2 4 1 4 0 3 0 2 1 1 3 , 2.33/0.86 5 5 1 4 1 3 4 2 3 4 3 1 2 0 5 -> 1 3 5 1 1 2 1 2 0 3 0 1 1 2 0 , 2.33/0.86 2 4 0 5 0 0 4 4 2 2 3 5 3 4 5 0 -> 2 3 1 3 0 1 1 1 0 5 5 0 2 3 4 0 , 2.33/0.86 2 5 2 1 1 0 4 3 3 0 4 5 4 3 0 4 1 0 4 0 -> 5 1 1 0 1 3 5 5 0 5 3 4 5 1 0 0 2 3 2 0 , 2.33/0.86 1 3 0 5 3 1 1 1 0 3 3 0 1 3 3 4 3 5 3 0 5 -> 1 5 3 3 1 3 3 4 0 5 5 0 3 2 4 1 2 3 3 4 5 } 2.33/0.86 2.33/0.86 2.33/0.86 The system was filtered by the following matrix interpretation 2.33/0.86 of type E_J with J = {1,...,2} and dimension 11: 2.33/0.86 2.33/0.86 0 is interpreted by 2.33/0.86 / \ 2.33/0.86 | 1 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 1 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 1 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 1 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 1 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 1 0 0 0 0 0 0 0 0 0 | 2.33/0.86 \ / 2.33/0.86 1 is interpreted by 2.33/0.86 / \ 2.33/0.86 | 1 0 1 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 1 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 1 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 1 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 \ / 2.33/0.86 2 is interpreted by 2.33/0.86 / \ 2.33/0.86 | 1 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 1 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 \ / 2.33/0.86 3 is interpreted by 2.33/0.86 / \ 2.33/0.86 | 1 0 1 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 1 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 \ / 2.33/0.86 4 is interpreted by 2.33/0.86 / \ 2.33/0.86 | 1 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 1 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 1 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 \ / 2.33/0.86 5 is interpreted by 2.33/0.86 / \ 2.33/0.86 | 1 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 1 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 1 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 1 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 \ / 2.33/0.86 2.33/0.86 Remains to prove termination of the 13-rule system 2.33/0.86 { 0 1 1 -> 2 1 1 , 2.33/0.86 3 4 0 -> 4 5 5 , 2.33/0.86 2 2 1 4 0 -> 2 2 1 3 5 , 2.33/0.86 4 5 3 1 0 0 4 -> 4 5 0 1 4 5 4 , 2.33/0.86 1 3 3 2 1 4 4 0 -> 1 1 3 0 4 4 0 2 , 2.33/0.86 4 1 3 0 0 5 1 5 0 1 -> 4 0 4 2 2 3 0 3 0 1 , 2.33/0.86 3 3 0 2 0 1 4 5 5 5 0 -> 1 2 3 5 4 4 0 2 3 5 5 , 2.33/0.86 3 0 2 0 2 1 2 5 4 3 5 4 -> 3 2 2 0 3 0 5 4 5 1 5 4 , 2.33/0.86 3 0 5 4 5 3 0 0 0 5 1 1 -> 3 2 4 1 4 0 3 0 2 1 1 3 , 2.33/0.86 5 5 1 4 1 3 4 2 3 4 3 1 2 0 5 -> 1 3 5 1 1 2 1 2 0 3 0 1 1 2 0 , 2.33/0.86 2 4 0 5 0 0 4 4 2 2 3 5 3 4 5 0 -> 2 3 1 3 0 1 1 1 0 5 5 0 2 3 4 0 , 2.33/0.86 2 5 2 1 1 0 4 3 3 0 4 5 4 3 0 4 1 0 4 0 -> 5 1 1 0 1 3 5 5 0 5 3 4 5 1 0 0 2 3 2 0 , 2.33/0.86 1 3 0 5 3 1 1 1 0 3 3 0 1 3 3 4 3 5 3 0 5 -> 1 5 3 3 1 3 3 4 0 5 5 0 3 2 4 1 2 3 3 4 5 } 2.33/0.86 2.33/0.86 2.33/0.86 The system was filtered by the following matrix interpretation 2.33/0.86 of type E_J with J = {1,...,2} and dimension 13: 2.33/0.86 2.33/0.86 0 is interpreted by 2.33/0.86 / \ 2.33/0.86 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 \ / 2.33/0.86 1 is interpreted by 2.33/0.86 / \ 2.33/0.86 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 \ / 2.33/0.86 2 is interpreted by 2.33/0.86 / \ 2.33/0.86 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 \ / 2.33/0.86 3 is interpreted by 2.33/0.86 / \ 2.33/0.86 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 \ / 2.33/0.86 4 is interpreted by 2.33/0.86 / \ 2.33/0.86 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 \ / 2.33/0.86 5 is interpreted by 2.33/0.86 / \ 2.33/0.86 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 2.33/0.86 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.33/0.86 \ / 2.33/0.86 2.33/0.86 Remains to prove termination of the 12-rule system 2.33/0.86 { 0 1 1 -> 2 1 1 , 2.33/0.86 3 4 0 -> 4 5 5 , 2.33/0.86 2 2 1 4 0 -> 2 2 1 3 5 , 2.33/0.86 4 5 3 1 0 0 4 -> 4 5 0 1 4 5 4 , 2.33/0.86 1 3 3 2 1 4 4 0 -> 1 1 3 0 4 4 0 2 , 2.33/0.86 4 1 3 0 0 5 1 5 0 1 -> 4 0 4 2 2 3 0 3 0 1 , 2.33/0.86 3 3 0 2 0 1 4 5 5 5 0 -> 1 2 3 5 4 4 0 2 3 5 5 , 2.33/0.86 3 0 5 4 5 3 0 0 0 5 1 1 -> 3 2 4 1 4 0 3 0 2 1 1 3 , 2.33/0.86 5 5 1 4 1 3 4 2 3 4 3 1 2 0 5 -> 1 3 5 1 1 2 1 2 0 3 0 1 1 2 0 , 2.33/0.86 2 4 0 5 0 0 4 4 2 2 3 5 3 4 5 0 -> 2 3 1 3 0 1 1 1 0 5 5 0 2 3 4 0 , 2.33/0.86 2 5 2 1 1 0 4 3 3 0 4 5 4 3 0 4 1 0 4 0 -> 5 1 1 0 1 3 5 5 0 5 3 4 5 1 0 0 2 3 2 0 , 2.33/0.86 1 3 0 5 3 1 1 1 0 3 3 0 1 3 3 4 3 5 3 0 5 -> 1 5 3 3 1 3 3 4 0 5 5 0 3 2 4 1 2 3 3 4 5 } 2.33/0.86 2.33/0.86 2.33/0.86 The system was filtered by the following matrix interpretation 2.33/0.86 of type E_J with J = {1,...,2} and dimension 2: 2.33/0.86 2.33/0.86 0 is interpreted by 2.33/0.86 / \ 2.33/0.86 | 1 1 | 2.33/0.86 | 0 1 | 2.33/0.86 \ / 2.33/0.86 1 is interpreted by 2.33/0.86 / \ 2.33/0.86 | 1 0 | 2.33/0.86 | 0 1 | 2.33/0.86 \ / 2.33/0.86 2 is interpreted by 2.33/0.86 / \ 2.33/0.86 | 1 0 | 2.33/0.86 | 0 1 | 2.33/0.86 \ / 2.33/0.86 3 is interpreted by 2.33/0.86 / \ 2.33/0.86 | 1 1 | 2.33/0.86 | 0 1 | 2.33/0.86 \ / 2.33/0.86 4 is interpreted by 2.33/0.86 / \ 2.33/0.86 | 1 1 | 2.33/0.86 | 0 1 | 2.33/0.86 \ / 2.33/0.86 5 is interpreted by 2.33/0.86 / \ 2.33/0.86 | 1 1 | 2.33/0.86 | 0 1 | 2.33/0.86 \ / 2.33/0.86 2.33/0.86 Remains to prove termination of the 6-rule system 2.33/0.86 { 3 4 0 -> 4 5 5 , 2.33/0.86 2 2 1 4 0 -> 2 2 1 3 5 , 2.33/0.86 4 5 3 1 0 0 4 -> 4 5 0 1 4 5 4 , 2.33/0.86 1 3 3 2 1 4 4 0 -> 1 1 3 0 4 4 0 2 , 2.33/0.86 4 1 3 0 0 5 1 5 0 1 -> 4 0 4 2 2 3 0 3 0 1 , 2.33/0.86 1 3 0 5 3 1 1 1 0 3 3 0 1 3 3 4 3 5 3 0 5 -> 1 5 3 3 1 3 3 4 0 5 5 0 3 2 4 1 2 3 3 4 5 } 2.33/0.86 2.33/0.86 2.33/0.86 The system was filtered by the following matrix interpretation 2.33/0.86 of type E_J with J = {1,...,2} and dimension 2: 2.33/0.86 2.33/0.86 0 is interpreted by 2.33/0.86 / \ 2.33/0.86 | 1 0 | 2.33/0.86 | 0 1 | 2.33/0.86 \ / 2.33/0.86 1 is interpreted by 2.33/0.86 / \ 2.33/0.86 | 1 1 | 2.33/0.86 | 0 1 | 2.33/0.86 \ / 2.33/0.86 2 is interpreted by 2.33/0.86 / \ 2.33/0.86 | 1 0 | 2.33/0.86 | 0 1 | 2.33/0.86 \ / 2.33/0.86 3 is interpreted by 2.33/0.86 / \ 2.33/0.86 | 1 0 | 2.33/0.86 | 0 1 | 2.33/0.86 \ / 2.33/0.86 4 is interpreted by 2.33/0.86 / \ 2.33/0.86 | 1 0 | 2.33/0.86 | 0 1 | 2.33/0.86 \ / 2.33/0.86 5 is interpreted by 2.33/0.86 / \ 2.33/0.86 | 1 0 | 2.33/0.86 | 0 1 | 2.33/0.86 \ / 2.33/0.86 2.33/0.86 Remains to prove termination of the 4-rule system 2.33/0.86 { 3 4 0 -> 4 5 5 , 2.33/0.86 2 2 1 4 0 -> 2 2 1 3 5 , 2.33/0.86 4 5 3 1 0 0 4 -> 4 5 0 1 4 5 4 , 2.33/0.86 1 3 3 2 1 4 4 0 -> 1 1 3 0 4 4 0 2 } 2.33/0.86 2.33/0.86 2.33/0.86 The system was filtered by the following matrix interpretation 2.33/0.86 of type E_J with J = {1,...,2} and dimension 2: 2.33/0.86 2.33/0.86 0 is interpreted by 2.33/0.86 / \ 2.33/0.86 | 1 2 | 2.33/0.86 | 0 1 | 2.33/0.86 \ / 2.33/0.86 1 is interpreted by 2.33/0.86 / \ 2.33/0.86 | 1 0 | 2.33/0.86 | 0 1 | 2.33/0.86 \ / 2.33/0.86 2 is interpreted by 2.33/0.86 / \ 2.33/0.86 | 1 0 | 2.33/0.86 | 0 1 | 2.33/0.86 \ / 2.33/0.86 3 is interpreted by 2.33/0.86 / \ 2.33/0.86 | 1 2 | 2.33/0.86 | 0 1 | 2.33/0.86 \ / 2.33/0.86 4 is interpreted by 2.33/0.86 / \ 2.33/0.86 | 1 2 | 2.33/0.86 | 0 1 | 2.33/0.86 \ / 2.33/0.86 5 is interpreted by 2.33/0.86 / \ 2.33/0.86 | 1 1 | 2.33/0.86 | 0 1 | 2.33/0.86 \ / 2.33/0.86 2.33/0.86 Remains to prove termination of the 1-rule system 2.33/0.86 { 1 3 3 2 1 4 4 0 -> 1 1 3 0 4 4 0 2 } 2.33/0.86 2.33/0.86 2.33/0.86 The system was filtered by the following matrix interpretation 2.33/0.86 of type E_J with J = {1,...,2} and dimension 2: 2.33/0.86 2.33/0.86 0 is interpreted by 2.33/0.86 / \ 2.33/0.86 | 1 0 | 2.33/0.86 | 0 1 | 2.33/0.86 \ / 2.33/0.86 1 is interpreted by 2.33/0.86 / \ 2.33/0.86 | 1 0 | 2.33/0.86 | 0 1 | 2.33/0.86 \ / 2.33/0.86 2 is interpreted by 2.33/0.86 / \ 2.33/0.86 | 1 0 | 2.33/0.86 | 0 1 | 2.33/0.86 \ / 2.33/0.86 3 is interpreted by 2.33/0.86 / \ 2.33/0.86 | 1 1 | 2.33/0.86 | 0 1 | 2.33/0.86 \ / 2.33/0.86 4 is interpreted by 2.33/0.86 / \ 2.33/0.86 | 1 0 | 2.33/0.86 | 0 1 | 2.33/0.86 \ / 2.33/0.86 5 is interpreted by 2.33/0.86 / \ 2.33/0.86 | 1 0 | 2.33/0.86 | 0 1 | 2.33/0.86 \ / 2.33/0.86 2.33/0.86 Remains to prove termination of the 0-rule system 2.33/0.86 { } 2.33/0.86 2.33/0.86 2.33/0.86 The system is trivially terminating. 3.06/1.08 EOF