0.00/0.56 YES 0.00/0.59 0.00/0.59 0.00/0.59 0.00/0.59 0.00/0.59 The system was filtered by the following matrix interpretation 0.00/0.59 of type E_J with J = {1,...,2} and dimension 2: 0.00/0.59 0.00/0.59 0 is interpreted by 0.00/0.59 / \ 0.00/0.59 | 1 2 | 0.00/0.59 | 0 1 | 0.00/0.59 \ / 0.00/0.59 1 is interpreted by 0.00/0.59 / \ 0.00/0.59 | 1 0 | 0.00/0.59 | 0 1 | 0.00/0.59 \ / 0.00/0.59 2 is interpreted by 0.00/0.59 / \ 0.00/0.59 | 1 0 | 0.00/0.59 | 0 1 | 0.00/0.59 \ / 0.00/0.59 3 is interpreted by 0.00/0.59 / \ 0.00/0.59 | 1 0 | 0.00/0.59 | 0 1 | 0.00/0.59 \ / 0.00/0.59 4 is interpreted by 0.00/0.59 / \ 0.00/0.59 | 1 1 | 0.00/0.59 | 0 1 | 0.00/0.59 \ / 0.00/0.59 5 is interpreted by 0.00/0.59 / \ 0.00/0.59 | 1 1 | 0.00/0.59 | 0 1 | 0.00/0.59 \ / 0.00/0.59 0.00/0.59 Remains to prove termination of the 4-rule system 0.00/0.59 { 4 0 0 1 3 1 -> 3 2 2 1 2 0 5 4 4 1 , 0.00/0.59 0 5 3 1 4 3 1 -> 2 3 2 1 3 4 4 1 0 1 , 0.00/0.59 4 1 2 5 4 0 0 -> 2 4 5 1 3 0 3 2 0 4 , 0.00/0.59 5 3 0 1 4 3 1 -> 3 2 2 1 2 1 0 0 3 1 } 0.00/0.59 0.00/0.59 0.00/0.59 The system was filtered by the following matrix interpretation 0.00/0.59 of type E_J with J = {1,...,2} and dimension 2: 0.00/0.59 0.00/0.59 0 is interpreted by 0.00/0.59 / \ 0.00/0.59 | 1 1 | 0.00/0.59 | 0 1 | 0.00/0.59 \ / 0.00/0.59 1 is interpreted by 0.00/0.59 / \ 0.00/0.59 | 1 0 | 0.00/0.59 | 0 1 | 0.00/0.59 \ / 0.00/0.59 2 is interpreted by 0.00/0.59 / \ 0.00/0.59 | 1 0 | 0.00/0.59 | 0 1 | 0.00/0.59 \ / 0.00/0.59 3 is interpreted by 0.00/0.59 / \ 0.00/0.59 | 1 0 | 0.00/0.59 | 0 1 | 0.00/0.59 \ / 0.00/0.59 4 is interpreted by 0.00/0.59 / \ 0.00/0.59 | 1 0 | 0.00/0.59 | 0 1 | 0.00/0.59 \ / 0.00/0.59 5 is interpreted by 0.00/0.59 / \ 0.00/0.59 | 1 1 | 0.00/0.59 | 0 1 | 0.00/0.59 \ / 0.00/0.59 0.00/0.59 Remains to prove termination of the 3-rule system 0.00/0.59 { 4 0 0 1 3 1 -> 3 2 2 1 2 0 5 4 4 1 , 0.00/0.59 4 1 2 5 4 0 0 -> 2 4 5 1 3 0 3 2 0 4 , 0.00/0.59 5 3 0 1 4 3 1 -> 3 2 2 1 2 1 0 0 3 1 } 0.00/0.59 0.00/0.59 0.00/0.59 The system was filtered by the following matrix interpretation 0.00/0.59 of type E_J with J = {1,...,2} and dimension 8: 0.00/0.59 0.00/0.59 0 is interpreted by 0.00/0.59 / \ 0.00/0.59 | 1 0 0 0 0 0 0 0 | 0.00/0.59 | 0 1 0 0 0 0 0 0 | 0.00/0.59 | 0 0 0 0 0 0 0 0 | 0.00/0.59 | 0 0 0 0 1 0 0 0 | 0.00/0.59 | 0 0 0 0 0 0 0 0 | 0.00/0.59 | 0 0 0 0 0 0 0 0 | 0.00/0.59 | 0 0 0 0 0 0 0 0 | 0.00/0.59 | 0 0 0 0 0 0 0 0 | 0.00/0.59 \ / 0.00/0.59 1 is interpreted by 0.00/0.59 / \ 0.00/0.59 | 1 0 0 0 0 0 0 0 | 0.00/0.59 | 0 1 0 0 0 0 0 0 | 0.00/0.59 | 0 0 0 0 0 0 0 0 | 0.00/0.59 | 0 0 0 0 0 0 0 0 | 0.00/0.59 | 0 0 0 0 0 1 0 0 | 0.00/0.59 | 0 0 0 0 0 0 0 0 | 0.00/0.59 | 0 0 0 0 0 0 0 0 | 0.00/0.59 | 0 1 0 0 0 0 0 0 | 0.00/0.59 \ / 0.00/0.59 2 is interpreted by 0.00/0.59 / \ 0.00/0.59 | 1 0 0 0 0 0 0 0 | 0.00/0.59 | 0 1 0 0 0 0 0 0 | 0.00/0.59 | 0 0 0 0 0 0 0 0 | 0.00/0.59 | 0 0 0 0 0 0 0 0 | 0.00/0.59 | 0 0 0 0 0 0 0 0 | 0.00/0.59 | 0 0 0 0 0 0 0 0 | 0.00/0.59 | 0 0 0 0 0 0 0 0 | 0.00/0.59 | 0 0 0 0 0 0 0 0 | 0.00/0.59 \ / 0.00/0.59 3 is interpreted by 0.00/0.59 / \ 0.00/0.59 | 1 0 0 0 0 0 0 0 | 0.00/0.59 | 0 1 0 0 0 0 0 0 | 0.00/0.59 | 0 0 0 1 0 0 0 0 | 0.00/0.59 | 0 0 0 0 0 0 0 0 | 0.00/0.59 | 0 0 0 0 0 0 0 0 | 0.00/0.59 | 0 0 0 0 0 0 0 0 | 0.00/0.59 | 0 0 0 0 0 0 0 1 | 0.00/0.59 | 0 0 0 0 0 0 0 0 | 0.00/0.59 \ / 0.00/0.59 4 is interpreted by 0.00/0.59 / \ 0.00/0.59 | 1 0 0 0 0 0 0 0 | 0.00/0.59 | 0 1 0 0 0 0 0 0 | 0.00/0.59 | 0 0 0 0 0 0 0 0 | 0.00/0.59 | 0 0 0 0 0 0 0 0 | 0.00/0.59 | 0 0 0 0 0 0 0 0 | 0.00/0.59 | 0 0 0 0 0 0 1 0 | 0.00/0.59 | 0 0 0 0 0 0 0 0 | 0.00/0.59 | 0 0 0 0 0 0 0 0 | 0.00/0.59 \ / 0.00/0.59 5 is interpreted by 0.00/0.59 / \ 0.00/0.59 | 1 0 1 0 0 0 0 0 | 0.00/0.59 | 0 1 0 0 0 0 0 0 | 0.00/0.59 | 0 0 0 0 0 0 0 0 | 0.00/0.59 | 0 0 0 0 0 0 0 0 | 0.00/0.59 | 0 0 0 0 0 0 0 0 | 0.00/0.59 | 0 0 0 0 0 0 0 0 | 0.00/0.59 | 0 0 0 0 0 0 0 0 | 0.00/0.59 | 0 0 0 0 0 0 0 0 | 0.00/0.59 \ / 0.00/0.59 0.00/0.59 Remains to prove termination of the 2-rule system 0.00/0.59 { 4 0 0 1 3 1 -> 3 2 2 1 2 0 5 4 4 1 , 0.00/0.59 4 1 2 5 4 0 0 -> 2 4 5 1 3 0 3 2 0 4 } 0.00/0.59 0.00/0.59 0.00/0.59 The system was filtered by the following matrix interpretation 0.00/0.59 of type E_J with J = {1,...,2} and dimension 2: 0.00/0.59 0.00/0.59 0 is interpreted by 0.00/0.59 / \ 0.00/0.59 | 1 1 | 0.00/0.59 | 0 1 | 0.00/0.59 \ / 0.00/0.59 1 is interpreted by 0.00/0.59 / \ 0.00/0.59 | 1 0 | 0.00/0.59 | 0 1 | 0.00/0.59 \ / 0.00/0.59 2 is interpreted by 0.00/0.59 / \ 0.00/0.59 | 1 0 | 0.00/0.59 | 0 1 | 0.00/0.59 \ / 0.00/0.59 3 is interpreted by 0.00/0.59 / \ 0.00/0.59 | 1 0 | 0.00/0.59 | 0 1 | 0.00/0.59 \ / 0.00/0.59 4 is interpreted by 0.00/0.59 / \ 0.00/0.59 | 1 0 | 0.00/0.59 | 0 1 | 0.00/0.59 \ / 0.00/0.59 5 is interpreted by 0.00/0.59 / \ 0.00/0.59 | 1 0 | 0.00/0.59 | 0 1 | 0.00/0.59 \ / 0.00/0.59 0.00/0.59 Remains to prove termination of the 1-rule system 0.00/0.59 { 4 1 2 5 4 0 0 -> 2 4 5 1 3 0 3 2 0 4 } 0.00/0.59 0.00/0.59 0.00/0.59 The system was filtered by the following matrix interpretation 0.00/0.59 of type E_J with J = {1,...,2} and dimension 8: 0.00/0.59 0.00/0.59 0 is interpreted by 0.00/0.59 / \ 0.00/0.59 | 1 0 1 0 0 0 0 0 | 0.00/0.59 | 0 1 0 0 0 0 0 0 | 0.00/0.59 | 0 0 0 0 0 0 0 0 | 0.00/0.59 | 0 0 0 0 0 0 0 0 | 0.00/0.59 | 0 0 0 0 0 0 0 0 | 0.00/0.59 | 0 0 0 0 0 0 0 0 | 0.00/0.59 | 0 0 0 0 0 0 0 1 | 0.00/0.59 | 0 1 0 0 0 0 0 0 | 0.00/0.59 \ / 0.00/0.59 1 is interpreted by 0.00/0.59 / \ 0.00/0.59 | 1 0 0 0 0 0 0 0 | 0.00/0.59 | 0 1 0 0 0 0 0 0 | 0.00/0.59 | 0 0 0 1 0 0 0 0 | 0.00/0.59 | 0 0 0 0 0 0 0 0 | 0.00/0.59 | 0 0 0 0 0 0 0 0 | 0.00/0.59 | 0 0 0 0 0 0 0 0 | 0.00/0.59 | 0 0 0 0 0 0 0 0 | 0.00/0.59 | 0 0 0 0 0 0 0 0 | 0.00/0.59 \ / 0.00/0.59 2 is interpreted by 0.00/0.59 / \ 0.00/0.59 | 1 0 0 0 0 0 0 0 | 0.00/0.59 | 0 1 0 0 0 0 0 0 | 0.00/0.59 | 0 0 0 0 0 0 0 0 | 0.00/0.59 | 0 0 0 0 1 0 0 0 | 0.00/0.59 | 0 0 0 0 0 0 0 0 | 0.00/0.59 | 0 0 0 0 0 0 0 0 | 0.00/0.59 | 0 0 0 0 0 0 0 0 | 0.00/0.59 | 0 0 0 0 0 0 0 0 | 0.00/0.59 \ / 0.00/0.59 3 is interpreted by 0.00/0.59 / \ 0.00/0.59 | 1 0 0 0 0 0 0 0 | 0.00/0.59 | 0 1 0 0 0 0 0 0 | 0.00/0.59 | 0 0 0 0 0 0 0 0 | 0.00/0.59 | 0 0 0 0 0 0 0 0 | 0.00/0.59 | 0 0 0 0 0 0 0 0 | 0.00/0.59 | 0 0 0 0 0 0 0 0 | 0.00/0.59 | 0 0 0 0 0 0 0 0 | 0.00/0.59 | 0 0 0 0 0 0 0 0 | 0.00/0.59 \ / 0.00/0.59 4 is interpreted by 0.00/0.59 / \ 0.00/0.59 | 1 0 1 0 0 0 0 0 | 0.00/0.59 | 0 1 0 0 0 0 0 0 | 0.00/0.59 | 0 0 0 0 0 0 0 0 | 0.00/0.59 | 0 0 0 0 0 0 0 0 | 0.00/0.59 | 0 0 0 0 0 0 0 0 | 0.00/0.59 | 0 0 0 0 0 0 1 0 | 0.00/0.59 | 0 0 0 0 0 0 0 0 | 0.00/0.59 | 0 0 0 0 0 0 0 0 | 0.00/0.59 \ / 0.00/0.59 5 is interpreted by 0.00/0.59 / \ 0.00/0.59 | 1 0 0 0 0 0 0 0 | 0.00/0.59 | 0 1 0 0 0 0 0 0 | 0.00/0.59 | 0 0 0 0 0 0 0 0 | 0.00/0.59 | 0 0 0 0 0 0 0 0 | 0.00/0.59 | 0 0 0 0 0 1 0 0 | 0.00/0.59 | 0 0 0 0 0 0 0 0 | 0.00/0.59 | 0 0 0 0 0 0 0 0 | 0.00/0.59 | 0 0 0 0 0 0 0 0 | 0.00/0.59 \ / 0.00/0.59 0.00/0.59 Remains to prove termination of the 0-rule system 0.00/0.59 { } 0.00/0.59 0.00/0.59 0.00/0.59 The system is trivially terminating. 1.72/0.65 EOF