0.00/0.42 YES 0.00/0.44 0.00/0.44 0.00/0.44 0.00/0.44 0.00/0.44 The system was filtered by the following matrix interpretation 0.00/0.44 of type E_J with J = {1,...,2} and dimension 2: 0.00/0.44 0.00/0.44 0 is interpreted by 0.00/0.44 / \ 0.00/0.44 | 1 1 | 0.00/0.44 | 0 1 | 0.00/0.44 \ / 0.00/0.44 1 is interpreted by 0.00/0.44 / \ 0.00/0.44 | 1 1 | 0.00/0.44 | 0 1 | 0.00/0.44 \ / 0.00/0.44 2 is interpreted by 0.00/0.44 / \ 0.00/0.44 | 1 1 | 0.00/0.44 | 0 1 | 0.00/0.44 \ / 0.00/0.44 3 is interpreted by 0.00/0.44 / \ 0.00/0.44 | 1 1 | 0.00/0.44 | 0 1 | 0.00/0.44 \ / 0.00/0.44 4 is interpreted by 0.00/0.44 / \ 0.00/0.44 | 1 1 | 0.00/0.44 | 0 1 | 0.00/0.44 \ / 0.00/0.44 5 is interpreted by 0.00/0.44 / \ 0.00/0.44 | 1 1 | 0.00/0.44 | 0 1 | 0.00/0.44 \ / 0.00/0.44 0.00/0.44 Remains to prove termination of the 6-rule system 0.00/0.44 { 4 5 3 4 -> 4 4 2 4 , 0.00/0.44 2 5 1 2 1 1 -> 5 2 1 2 4 1 , 0.00/0.44 5 2 1 0 1 5 -> 5 4 2 4 5 1 , 0.00/0.44 5 4 4 5 0 1 4 5 4 -> 1 5 5 0 4 1 4 5 4 , 0.00/0.44 4 5 0 3 1 3 2 2 5 2 2 4 1 3 2 -> 4 5 3 2 1 4 5 0 0 0 4 5 4 0 0 , 0.00/0.44 2 0 3 0 2 2 2 0 1 4 2 1 0 4 4 3 3 1 4 4 -> 5 2 4 1 1 4 5 1 0 1 2 0 3 0 1 2 3 4 3 1 } 0.00/0.44 0.00/0.44 0.00/0.44 The system was filtered by the following matrix interpretation 0.00/0.44 of type E_J with J = {1,...,2} and dimension 2: 0.00/0.44 0.00/0.44 0 is interpreted by 0.00/0.44 / \ 0.00/0.44 | 1 0 | 0.00/0.44 | 0 1 | 0.00/0.44 \ / 0.00/0.44 1 is interpreted by 0.00/0.44 / \ 0.00/0.44 | 1 0 | 0.00/0.44 | 0 1 | 0.00/0.44 \ / 0.00/0.44 2 is interpreted by 0.00/0.44 / \ 0.00/0.44 | 1 0 | 0.00/0.44 | 0 1 | 0.00/0.44 \ / 0.00/0.44 3 is interpreted by 0.00/0.44 / \ 0.00/0.44 | 1 1 | 0.00/0.44 | 0 1 | 0.00/0.44 \ / 0.00/0.44 4 is interpreted by 0.00/0.44 / \ 0.00/0.44 | 1 0 | 0.00/0.44 | 0 1 | 0.00/0.44 \ / 0.00/0.44 5 is interpreted by 0.00/0.44 / \ 0.00/0.44 | 1 0 | 0.00/0.44 | 0 1 | 0.00/0.44 \ / 0.00/0.44 0.00/0.44 Remains to prove termination of the 4-rule system 0.00/0.44 { 2 5 1 2 1 1 -> 5 2 1 2 4 1 , 0.00/0.44 5 2 1 0 1 5 -> 5 4 2 4 5 1 , 0.00/0.44 5 4 4 5 0 1 4 5 4 -> 1 5 5 0 4 1 4 5 4 , 0.00/0.44 2 0 3 0 2 2 2 0 1 4 2 1 0 4 4 3 3 1 4 4 -> 5 2 4 1 1 4 5 1 0 1 2 0 3 0 1 2 3 4 3 1 } 0.00/0.44 0.00/0.44 0.00/0.44 The system was filtered by the following matrix interpretation 0.00/0.44 of type E_J with J = {1,...,2} and dimension 2: 0.00/0.44 0.00/0.44 0 is interpreted by 0.00/0.44 / \ 0.00/0.44 | 1 1 | 0.00/0.44 | 0 1 | 0.00/0.44 \ / 0.00/0.44 1 is interpreted by 0.00/0.44 / \ 0.00/0.44 | 1 0 | 0.00/0.44 | 0 1 | 0.00/0.44 \ / 0.00/0.44 2 is interpreted by 0.00/0.44 / \ 0.00/0.44 | 1 0 | 0.00/0.44 | 0 1 | 0.00/0.44 \ / 0.00/0.44 3 is interpreted by 0.00/0.44 / \ 0.00/0.44 | 1 0 | 0.00/0.44 | 0 1 | 0.00/0.44 \ / 0.00/0.44 4 is interpreted by 0.00/0.44 / \ 0.00/0.44 | 1 0 | 0.00/0.44 | 0 1 | 0.00/0.44 \ / 0.00/0.44 5 is interpreted by 0.00/0.44 / \ 0.00/0.44 | 1 0 | 0.00/0.44 | 0 1 | 0.00/0.44 \ / 0.00/0.44 0.00/0.44 Remains to prove termination of the 2-rule system 0.00/0.44 { 2 5 1 2 1 1 -> 5 2 1 2 4 1 , 0.00/0.44 5 4 4 5 0 1 4 5 4 -> 1 5 5 0 4 1 4 5 4 } 0.00/0.44 0.00/0.44 0.00/0.44 The system was filtered by the following matrix interpretation 0.00/0.44 of type E_J with J = {1,...,2} and dimension 10: 0.00/0.45 0.00/0.45 0 is interpreted by 0.00/0.45 / \ 0.00/0.45 | 1 0 0 0 0 0 0 0 0 0 | 0.00/0.45 | 0 1 0 0 0 0 0 0 0 0 | 0.00/0.45 | 0 0 0 0 0 0 0 0 0 0 | 0.00/0.45 | 0 0 0 0 0 0 0 0 0 0 | 0.00/0.45 | 0 0 0 0 0 0 0 0 0 0 | 0.00/0.45 | 0 0 0 0 0 0 1 0 0 0 | 0.00/0.45 | 0 0 0 0 0 0 0 0 0 0 | 0.00/0.45 | 0 0 0 0 0 0 0 0 0 0 | 0.00/0.45 | 0 0 0 0 0 0 0 0 0 0 | 0.00/0.45 | 0 0 0 0 0 0 0 0 0 0 | 0.00/0.45 \ / 0.00/0.45 1 is interpreted by 0.00/0.45 / \ 0.00/0.45 | 1 0 0 0 0 0 0 0 0 0 | 0.00/0.45 | 0 1 0 0 0 0 0 0 0 0 | 0.00/0.45 | 0 0 0 0 0 0 0 0 0 0 | 0.00/0.45 | 0 0 0 0 0 0 0 0 0 0 | 0.00/0.45 | 0 0 0 0 0 0 0 0 0 0 | 0.00/0.45 | 0 0 0 0 0 0 0 0 0 0 | 0.00/0.45 | 0 0 0 0 0 0 0 1 0 0 | 0.00/0.45 | 0 0 0 0 0 0 0 0 0 0 | 0.00/0.45 | 0 0 0 0 0 0 0 0 0 0 | 0.00/0.45 | 0 0 0 0 0 0 0 0 0 0 | 0.00/0.45 \ / 0.00/0.45 2 is interpreted by 0.00/0.45 / \ 0.00/0.45 | 1 0 0 0 0 0 0 0 0 0 | 0.00/0.45 | 0 1 0 0 0 0 0 0 0 0 | 0.00/0.45 | 0 0 0 0 0 0 0 0 0 0 | 0.00/0.45 | 0 0 0 0 0 0 0 0 0 0 | 0.00/0.45 | 0 0 0 0 0 0 0 0 0 0 | 0.00/0.45 | 0 0 0 0 0 0 0 0 0 0 | 0.00/0.45 | 0 0 0 0 0 0 0 0 0 0 | 0.00/0.45 | 0 0 0 0 0 0 0 0 0 0 | 0.00/0.45 | 0 0 0 0 0 0 0 0 0 0 | 0.00/0.45 | 0 0 0 0 0 0 0 0 0 0 | 0.00/0.45 \ / 0.00/0.45 3 is interpreted by 0.00/0.45 / \ 0.00/0.45 | 1 0 0 0 0 0 0 0 0 0 | 0.00/0.45 | 0 1 0 0 0 0 0 0 0 0 | 0.00/0.45 | 0 0 0 0 0 0 0 0 0 0 | 0.00/0.45 | 0 0 0 0 0 0 0 0 0 0 | 0.00/0.45 | 0 0 0 0 0 0 0 0 0 0 | 0.00/0.45 | 0 0 0 0 0 0 0 0 0 0 | 0.00/0.45 | 0 0 0 0 0 0 0 0 0 0 | 0.00/0.45 | 0 0 0 0 0 0 0 0 0 0 | 0.00/0.45 | 0 0 0 0 0 0 0 0 0 0 | 0.00/0.45 | 0 0 0 0 0 0 0 0 0 0 | 0.00/0.45 \ / 0.00/0.45 4 is interpreted by 0.00/0.45 / \ 0.00/0.45 | 1 0 0 0 0 0 0 0 0 0 | 0.00/0.45 | 0 1 0 0 0 0 0 0 0 0 | 0.00/0.45 | 0 0 0 1 0 0 0 0 0 0 | 0.00/0.45 | 0 0 0 0 1 0 0 0 0 0 | 0.00/0.45 | 0 0 0 0 0 0 0 0 0 0 | 0.00/0.45 | 0 0 0 0 0 0 0 0 0 0 | 0.00/0.45 | 0 0 0 0 0 0 0 0 0 0 | 0.00/0.45 | 0 0 0 0 0 0 0 0 1 0 | 0.00/0.45 | 0 0 0 0 0 0 0 0 0 0 | 0.00/0.45 | 0 1 0 0 0 0 0 0 0 0 | 0.00/0.45 \ / 0.00/0.45 5 is interpreted by 0.00/0.45 / \ 0.00/0.45 | 1 0 1 0 0 0 0 0 0 0 | 0.00/0.45 | 0 1 0 0 0 0 0 0 0 0 | 0.00/0.45 | 0 0 0 0 0 0 0 0 0 0 | 0.00/0.45 | 0 0 0 0 0 0 0 0 0 0 | 0.00/0.45 | 0 0 0 0 0 1 0 0 0 0 | 0.00/0.45 | 0 0 0 0 0 0 0 0 0 0 | 0.00/0.45 | 0 0 0 0 0 0 0 0 0 0 | 0.00/0.45 | 0 0 0 0 0 0 0 0 0 0 | 0.00/0.45 | 0 0 0 0 0 0 0 0 0 1 | 0.00/0.45 | 0 0 0 0 0 0 0 0 0 0 | 0.00/0.45 \ / 0.00/0.45 0.00/0.45 Remains to prove termination of the 1-rule system 0.00/0.45 { 2 5 1 2 1 1 -> 5 2 1 2 4 1 } 0.00/0.45 0.00/0.45 0.00/0.45 The system was filtered by the following matrix interpretation 0.00/0.45 of type E_J with J = {1,...,2} and dimension 2: 0.00/0.45 0.00/0.45 0 is interpreted by 0.00/0.45 / \ 0.00/0.45 | 1 0 | 0.00/0.45 | 0 1 | 0.00/0.45 \ / 0.00/0.45 1 is interpreted by 0.00/0.45 / \ 0.00/0.45 | 1 1 | 0.00/0.45 | 0 1 | 0.00/0.45 \ / 0.00/0.45 2 is interpreted by 0.00/0.45 / \ 0.00/0.45 | 1 0 | 0.00/0.45 | 0 1 | 0.00/0.45 \ / 0.00/0.45 3 is interpreted by 0.00/0.45 / \ 0.00/0.45 | 1 0 | 0.00/0.45 | 0 1 | 0.00/0.45 \ / 0.00/0.45 4 is interpreted by 0.00/0.45 / \ 0.00/0.45 | 1 0 | 0.00/0.45 | 0 1 | 0.00/0.45 \ / 0.00/0.45 5 is interpreted by 0.00/0.45 / \ 0.00/0.45 | 1 0 | 0.00/0.45 | 0 1 | 0.00/0.45 \ / 0.00/0.45 0.00/0.45 Remains to prove termination of the 0-rule system 0.00/0.45 { } 0.00/0.45 0.00/0.45 0.00/0.45 The system is trivially terminating. 0.00/0.47 EOF