0.00/0.62 YES 0.00/0.65 0.00/0.65 0.00/0.65 The system was filtered by the following matrix interpretation 0.00/0.65 of type E_J with J = {1,...,2} and dimension 2: 0.00/0.65 0.00/0.65 0 is interpreted by 0.00/0.65 / \ 0.00/0.65 | 1 4 | 0.00/0.65 | 0 1 | 0.00/0.65 \ / 0.00/0.65 3 is interpreted by 0.00/0.65 / \ 0.00/0.65 | 1 2 | 0.00/0.65 | 0 1 | 0.00/0.65 \ / 0.00/0.65 4 is interpreted by 0.00/0.65 / \ 0.00/0.65 | 1 3 | 0.00/0.65 | 0 1 | 0.00/0.65 \ / 0.00/0.65 1 is interpreted by 0.00/0.65 / \ 0.00/0.65 | 1 1 | 0.00/0.65 | 0 1 | 0.00/0.65 \ / 0.00/0.65 5 is interpreted by 0.00/0.65 / \ 0.00/0.65 | 1 0 | 0.00/0.65 | 0 1 | 0.00/0.65 \ / 0.00/0.65 2 is interpreted by 0.00/0.65 / \ 0.00/0.65 | 1 0 | 0.00/0.65 | 0 1 | 0.00/0.65 \ / 0.00/0.65 0.00/0.65 Remains to prove termination of the 3-rule system 0.00/0.65 { 2 1 0 1 5 3 1 3 1 0 3 5 -> 5 3 5 2 4 4 0 3 5 2 2 1 2 2 1 3 , 0.00/0.65 4 3 5 4 5 0 5 4 3 4 3 5 -> 5 3 4 2 2 0 2 2 5 5 4 3 4 0 1 5 5 , 0.00/0.65 5 1 5 1 1 4 5 2 4 2 1 4 -> 5 1 2 2 1 2 3 1 1 4 1 4 2 2 2 2 2 5 } 0.00/0.65 0.00/0.65 0.00/0.65 The system was filtered by the following matrix interpretation 0.00/0.65 of type E_J with J = {1,...,2} and dimension 13: 0.00/0.65 0.00/0.65 0 is interpreted by 0.00/0.65 / \ 0.00/0.65 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.65 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.65 \ / 0.00/0.65 3 is interpreted by 0.00/0.65 / \ 0.00/0.65 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.65 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.65 \ / 0.00/0.65 4 is interpreted by 0.00/0.65 / \ 0.00/0.65 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 0.00/0.65 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.65 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 0.00/0.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.65 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 0.00/0.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.66 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.66 \ / 0.00/0.66 1 is interpreted by 0.00/0.66 / \ 0.00/0.66 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.66 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.66 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 0.00/0.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.66 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 0.00/0.66 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 0.00/0.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.66 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 0.00/0.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.66 \ / 0.00/0.66 5 is interpreted by 0.00/0.66 / \ 0.00/0.66 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 0.00/0.66 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.66 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 0.00/0.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.66 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 0.00/0.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.66 \ / 0.00/0.66 2 is interpreted by 0.00/0.66 / \ 0.00/0.66 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.66 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.66 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 0.00/0.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.66 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 0.00/0.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.66 \ / 0.00/0.66 0.00/0.66 Remains to prove termination of the 2-rule system 0.00/0.66 { 2 1 0 1 5 3 1 3 1 0 3 5 -> 5 3 5 2 4 4 0 3 5 2 2 1 2 2 1 3 , 0.00/0.66 4 3 5 4 5 0 5 4 3 4 3 5 -> 5 3 4 2 2 0 2 2 5 5 4 3 4 0 1 5 5 } 0.00/0.66 0.00/0.66 0.00/0.66 The system was filtered by the following matrix interpretation 0.00/0.66 of type E_J with J = {1,...,2} and dimension 2: 0.00/0.66 0.00/0.66 0 is interpreted by 0.00/0.66 / \ 0.00/0.66 | 1 0 | 0.00/0.66 | 0 1 | 0.00/0.66 \ / 0.00/0.66 3 is interpreted by 0.00/0.66 / \ 0.00/0.66 | 1 1 | 0.00/0.66 | 0 1 | 0.00/0.66 \ / 0.00/0.66 4 is interpreted by 0.00/0.66 / \ 0.00/0.66 | 1 0 | 0.00/0.66 | 0 1 | 0.00/0.66 \ / 0.00/0.66 1 is interpreted by 0.00/0.66 / \ 0.00/0.66 | 1 0 | 0.00/0.66 | 0 1 | 0.00/0.66 \ / 0.00/0.66 5 is interpreted by 0.00/0.66 / \ 0.00/0.66 | 1 0 | 0.00/0.66 | 0 1 | 0.00/0.66 \ / 0.00/0.66 2 is interpreted by 0.00/0.66 / \ 0.00/0.66 | 1 0 | 0.00/0.66 | 0 1 | 0.00/0.66 \ / 0.00/0.66 0.00/0.66 Remains to prove termination of the 1-rule system 0.00/0.66 { 2 1 0 1 5 3 1 3 1 0 3 5 -> 5 3 5 2 4 4 0 3 5 2 2 1 2 2 1 3 } 0.00/0.66 0.00/0.66 0.00/0.66 The system was filtered by the following matrix interpretation 0.00/0.66 of type E_J with J = {1,...,2} and dimension 2: 0.00/0.66 0.00/0.66 0 is interpreted by 0.00/0.66 / \ 0.00/0.66 | 1 1 | 0.00/0.66 | 0 1 | 0.00/0.66 \ / 0.00/0.66 3 is interpreted by 0.00/0.66 / \ 0.00/0.66 | 1 0 | 0.00/0.66 | 0 1 | 0.00/0.66 \ / 0.00/0.66 4 is interpreted by 0.00/0.66 / \ 0.00/0.66 | 1 0 | 0.00/0.66 | 0 1 | 0.00/0.66 \ / 0.00/0.66 1 is interpreted by 0.00/0.66 / \ 0.00/0.66 | 1 0 | 0.00/0.66 | 0 1 | 0.00/0.66 \ / 0.00/0.66 5 is interpreted by 0.00/0.66 / \ 0.00/0.66 | 1 0 | 0.00/0.66 | 0 1 | 0.00/0.66 \ / 0.00/0.66 2 is interpreted by 0.00/0.66 / \ 0.00/0.66 | 1 0 | 0.00/0.66 | 0 1 | 0.00/0.66 \ / 0.00/0.66 0.00/0.66 Remains to prove termination of the 0-rule system 0.00/0.66 { } 0.00/0.66 0.00/0.66 0.00/0.66 The system is trivially terminating. 0.00/0.67 EOF