0.00/0.53 YES 0.00/0.57 0.00/0.57 0.00/0.57 0.00/0.57 0.00/0.57 The system was filtered by the following matrix interpretation 0.00/0.57 of type E_J with J = {1,...,2} and dimension 2: 0.00/0.57 0.00/0.57 0 is interpreted by 0.00/0.57 / \ 0.00/0.57 | 1 0 | 0.00/0.57 | 0 1 | 0.00/0.57 \ / 0.00/0.57 2 is interpreted by 0.00/0.57 / \ 0.00/0.57 | 1 1 | 0.00/0.57 | 0 1 | 0.00/0.57 \ / 0.00/0.57 5 is interpreted by 0.00/0.57 / \ 0.00/0.57 | 1 3 | 0.00/0.57 | 0 1 | 0.00/0.57 \ / 0.00/0.57 3 is interpreted by 0.00/0.57 / \ 0.00/0.57 | 1 2 | 0.00/0.57 | 0 1 | 0.00/0.57 \ / 0.00/0.57 4 is interpreted by 0.00/0.57 / \ 0.00/0.57 | 1 0 | 0.00/0.57 | 0 1 | 0.00/0.57 \ / 0.00/0.57 1 is interpreted by 0.00/0.57 / \ 0.00/0.57 | 1 1 | 0.00/0.57 | 0 1 | 0.00/0.57 \ / 0.00/0.57 0.00/0.57 Remains to prove termination of the 3-rule system 0.00/0.57 { 2 5 3 3 3 3 5 2 1 4 2 0 -> 0 1 3 4 0 5 5 3 0 2 2 4 3 2 3 , 0.00/0.57 3 3 3 1 0 2 4 3 3 4 4 5 -> 0 2 0 4 4 4 0 5 5 0 1 3 3 5 , 0.00/0.57 5 3 3 3 1 5 2 0 1 5 4 0 -> 3 5 0 3 5 0 0 4 2 3 4 0 1 2 2 3 0 0 } 0.00/0.57 0.00/0.57 0.00/0.57 The system was filtered by the following matrix interpretation 0.00/0.57 of type E_J with J = {1,...,2} and dimension 2: 0.00/0.57 0.00/0.57 0 is interpreted by 0.00/0.57 / \ 0.00/0.57 | 1 0 | 0.00/0.57 | 0 1 | 0.00/0.57 \ / 0.00/0.57 2 is interpreted by 0.00/0.57 / \ 0.00/0.57 | 1 0 | 0.00/0.57 | 0 1 | 0.00/0.57 \ / 0.00/0.57 5 is interpreted by 0.00/0.57 / \ 0.00/0.57 | 1 0 | 0.00/0.57 | 0 1 | 0.00/0.57 \ / 0.00/0.57 3 is interpreted by 0.00/0.57 / \ 0.00/0.57 | 1 0 | 0.00/0.57 | 0 1 | 0.00/0.57 \ / 0.00/0.57 4 is interpreted by 0.00/0.57 / \ 0.00/0.57 | 1 0 | 0.00/0.57 | 0 1 | 0.00/0.57 \ / 0.00/0.57 1 is interpreted by 0.00/0.57 / \ 0.00/0.57 | 1 1 | 0.00/0.57 | 0 1 | 0.00/0.57 \ / 0.00/0.57 0.00/0.57 Remains to prove termination of the 2-rule system 0.00/0.57 { 2 5 3 3 3 3 5 2 1 4 2 0 -> 0 1 3 4 0 5 5 3 0 2 2 4 3 2 3 , 0.00/0.57 3 3 3 1 0 2 4 3 3 4 4 5 -> 0 2 0 4 4 4 0 5 5 0 1 3 3 5 } 0.00/0.57 0.00/0.57 0.00/0.57 The system was filtered by the following matrix interpretation 0.00/0.57 of type E_J with J = {1,...,2} and dimension 2: 0.00/0.57 0.00/0.57 0 is interpreted by 0.00/0.57 / \ 0.00/0.57 | 1 0 | 0.00/0.57 | 0 1 | 0.00/0.57 \ / 0.00/0.57 2 is interpreted by 0.00/0.57 / \ 0.00/0.57 | 1 0 | 0.00/0.57 | 0 1 | 0.00/0.57 \ / 0.00/0.57 5 is interpreted by 0.00/0.57 / \ 0.00/0.57 | 1 0 | 0.00/0.57 | 0 1 | 0.00/0.57 \ / 0.00/0.57 3 is interpreted by 0.00/0.57 / \ 0.00/0.57 | 1 1 | 0.00/0.57 | 0 1 | 0.00/0.57 \ / 0.00/0.57 4 is interpreted by 0.00/0.57 / \ 0.00/0.57 | 1 0 | 0.00/0.57 | 0 1 | 0.00/0.57 \ / 0.00/0.57 1 is interpreted by 0.00/0.57 / \ 0.00/0.57 | 1 0 | 0.00/0.57 | 0 1 | 0.00/0.57 \ / 0.00/0.57 0.00/0.57 Remains to prove termination of the 1-rule system 0.00/0.57 { 2 5 3 3 3 3 5 2 1 4 2 0 -> 0 1 3 4 0 5 5 3 0 2 2 4 3 2 3 } 0.00/0.57 0.00/0.57 0.00/0.57 The system was filtered by the following matrix interpretation 0.00/0.57 of type E_J with J = {1,...,2} and dimension 13: 0.00/0.57 0.00/0.57 0 is interpreted by 0.00/0.57 / \ 0.00/0.57 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 \ / 0.00/0.57 2 is interpreted by 0.00/0.57 / \ 0.00/0.57 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 0.00/0.57 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 \ / 0.00/0.57 5 is interpreted by 0.00/0.57 / \ 0.00/0.57 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 \ / 0.00/0.57 3 is interpreted by 0.00/0.57 / \ 0.00/0.57 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 \ / 0.00/0.57 4 is interpreted by 0.00/0.57 / \ 0.00/0.57 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 \ / 0.00/0.57 1 is interpreted by 0.00/0.57 / \ 0.00/0.57 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 \ / 0.00/0.57 0.00/0.57 Remains to prove termination of the 0-rule system 0.00/0.57 { } 0.00/0.57 0.00/0.57 0.00/0.57 The system is trivially terminating. 0.00/0.63 EOF