0.00/0.51 YES 0.00/0.55 0.00/0.55 0.00/0.55 0.00/0.55 0.00/0.55 The system was filtered by the following matrix interpretation 0.00/0.55 of type E_J with J = {1,...,2} and dimension 2: 0.00/0.55 0.00/0.55 0 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 9 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 1 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 8 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 2 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 11 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 3 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 11 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 4 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 8 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 5 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 10 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 0.00/0.55 Remains to prove termination of the 6-rule system 0.00/0.55 { 1 3 4 3 1 5 3 -> 5 2 0 0 4 0 3 , 0.00/0.55 3 3 3 5 3 0 2 1 4 3 -> 4 3 5 2 3 3 1 3 0 3 , 0.00/0.55 5 0 1 1 0 2 2 0 1 1 -> 4 5 5 5 2 3 2 0 3 , 0.00/0.55 4 0 0 2 4 5 4 2 1 4 3 4 4 3 -> 4 4 0 1 5 2 2 1 1 0 1 3 1 3 , 0.00/0.55 1 5 2 4 4 0 2 4 5 5 1 2 3 3 1 -> 3 1 2 4 5 4 0 3 2 1 5 5 1 3 1 , 0.00/0.55 5 0 4 5 4 0 4 0 4 5 2 0 1 2 1 -> 1 2 2 2 0 4 0 5 1 3 4 4 1 1 4 } 0.00/0.55 0.00/0.55 0.00/0.55 The system was filtered by the following matrix interpretation 0.00/0.55 of type E_J with J = {1,...,2} and dimension 2: 0.00/0.55 0.00/0.55 0 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 1 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 1 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 2 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 3 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 4 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 1 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 5 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 1 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 0.00/0.55 Remains to prove termination of the 4-rule system 0.00/0.55 { 3 3 3 5 3 0 2 1 4 3 -> 4 3 5 2 3 3 1 3 0 3 , 0.00/0.55 4 0 0 2 4 5 4 2 1 4 3 4 4 3 -> 4 4 0 1 5 2 2 1 1 0 1 3 1 3 , 0.00/0.55 1 5 2 4 4 0 2 4 5 5 1 2 3 3 1 -> 3 1 2 4 5 4 0 3 2 1 5 5 1 3 1 , 0.00/0.55 5 0 4 5 4 0 4 0 4 5 2 0 1 2 1 -> 1 2 2 2 0 4 0 5 1 3 4 4 1 1 4 } 0.00/0.55 0.00/0.55 0.00/0.55 The system was filtered by the following matrix interpretation 0.00/0.55 of type E_J with J = {1,...,2} and dimension 2: 0.00/0.55 0.00/0.55 0 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 1 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 1 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 2 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 3 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 4 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 5 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 0.00/0.55 Remains to prove termination of the 3-rule system 0.00/0.55 { 3 3 3 5 3 0 2 1 4 3 -> 4 3 5 2 3 3 1 3 0 3 , 0.00/0.55 4 0 0 2 4 5 4 2 1 4 3 4 4 3 -> 4 4 0 1 5 2 2 1 1 0 1 3 1 3 , 0.00/0.55 1 5 2 4 4 0 2 4 5 5 1 2 3 3 1 -> 3 1 2 4 5 4 0 3 2 1 5 5 1 3 1 } 0.00/0.55 0.00/0.55 0.00/0.55 The system was filtered by the following matrix interpretation 0.00/0.55 of type E_J with J = {1,...,2} and dimension 2: 0.00/0.55 0.00/0.55 0 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 1 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 2 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 1 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 3 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 4 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 5 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 0.00/0.55 Remains to prove termination of the 2-rule system 0.00/0.55 { 3 3 3 5 3 0 2 1 4 3 -> 4 3 5 2 3 3 1 3 0 3 , 0.00/0.55 4 0 0 2 4 5 4 2 1 4 3 4 4 3 -> 4 4 0 1 5 2 2 1 1 0 1 3 1 3 } 0.00/0.55 0.00/0.55 0.00/0.55 The system was filtered by the following matrix interpretation 0.00/0.55 of type E_J with J = {1,...,2} and dimension 2: 0.00/0.55 0.00/0.55 0 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 1 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 2 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 3 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 4 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 1 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 5 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 0.00/0.55 Remains to prove termination of the 1-rule system 0.00/0.55 { 3 3 3 5 3 0 2 1 4 3 -> 4 3 5 2 3 3 1 3 0 3 } 0.00/0.55 0.00/0.55 0.00/0.55 The system was filtered by the following matrix interpretation 0.00/0.55 of type E_J with J = {1,...,2} and dimension 11: 0.00/0.55 0.00/0.55 0 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 0 0 0 0 0 0 0 0 0 | 0.00/0.55 | 0 1 0 0 0 0 0 0 0 0 0 | 0.00/0.55 | 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.55 | 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.55 | 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.55 | 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.55 | 0 0 0 0 0 0 0 1 0 0 0 | 0.00/0.55 | 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.55 | 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.55 | 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.55 | 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.55 \ / 0.00/0.55 1 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 0 0 0 0 0 0 0 0 0 | 0.00/0.55 | 0 1 0 0 0 0 0 0 0 0 0 | 0.00/0.55 | 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.55 | 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.55 | 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.55 | 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.55 | 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.55 | 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.55 | 0 0 0 0 0 0 0 0 0 1 0 | 0.00/0.55 | 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.55 | 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.55 \ / 0.00/0.55 2 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 0 0 0 0 0 0 0 0 0 | 0.00/0.55 | 0 1 0 0 0 0 0 0 0 0 0 | 0.00/0.55 | 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.55 | 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.55 | 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.55 | 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.55 | 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.55 | 0 0 0 0 0 0 0 0 1 0 0 | 0.00/0.55 | 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.55 | 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.55 | 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.55 \ / 0.00/0.55 3 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 1 0 0 0 0 0 0 0 0 | 0.00/0.55 | 0 1 0 0 0 0 0 0 0 0 0 | 0.00/0.55 | 0 0 0 1 0 0 0 0 0 0 0 | 0.00/0.55 | 0 0 0 0 1 0 0 0 0 0 0 | 0.00/0.55 | 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.55 | 0 0 0 0 0 0 1 0 0 0 0 | 0.00/0.55 | 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.55 | 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.55 | 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.55 | 0 1 0 0 0 0 0 0 0 0 0 | 0.00/0.55 | 0 1 0 0 0 0 0 0 0 0 0 | 0.00/0.55 \ / 0.00/0.55 4 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 0 0 0 0 0 0 0 0 0 | 0.00/0.55 | 0 1 0 0 0 0 0 0 0 0 0 | 0.00/0.55 | 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.55 | 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.55 | 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.55 | 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.55 | 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.55 | 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.55 | 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.55 | 0 0 0 0 0 0 0 0 0 0 1 | 0.00/0.55 | 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.55 \ / 0.00/0.55 5 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 0 0 0 0 0 0 0 0 0 | 0.00/0.55 | 0 1 0 0 0 0 0 0 0 0 0 | 0.00/0.55 | 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.55 | 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.55 | 0 0 0 0 0 1 0 0 0 0 0 | 0.00/0.55 | 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.55 | 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.55 | 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.55 | 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.55 | 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.55 | 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.55 \ / 0.00/0.55 0.00/0.55 Remains to prove termination of the 0-rule system 0.00/0.55 { } 0.00/0.55 0.00/0.55 0.00/0.55 The system is trivially terminating. 1.42/0.58 EOF