0.00/0.35 YES 0.00/0.40 0.00/0.40 0.00/0.40 The system was filtered by the following matrix interpretation 0.00/0.40 of type E_J with J = {1,...,2} and dimension 6: 0.00/0.40 0.00/0.40 0 is interpreted by 0.00/0.40 / \ 0.00/0.40 | 1 0 1 0 0 0 | 0.00/0.40 | 0 1 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 | 0.00/0.40 \ / 0.00/0.40 1 is interpreted by 0.00/0.40 / \ 0.00/0.40 | 1 0 0 0 0 0 | 0.00/0.40 | 0 1 0 0 0 0 | 0.00/0.40 | 0 0 0 1 0 0 | 0.00/0.40 | 0 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 | 0.00/0.40 \ / 0.00/0.40 2 is interpreted by 0.00/0.40 / \ 0.00/0.40 | 1 0 0 0 0 0 | 0.00/0.40 | 0 1 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 1 0 | 0.00/0.40 | 0 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 | 0.00/0.40 \ / 0.00/0.40 3 is interpreted by 0.00/0.40 / \ 0.00/0.40 | 1 0 0 0 0 0 | 0.00/0.40 | 0 1 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 1 | 0.00/0.40 | 0 0 0 0 0 0 | 0.00/0.40 \ / 0.00/0.40 4 is interpreted by 0.00/0.40 / \ 0.00/0.40 | 1 0 0 0 0 0 | 0.00/0.40 | 0 1 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 | 0.00/0.40 | 0 1 0 0 0 0 | 0.00/0.40 \ / 0.00/0.40 5 is interpreted by 0.00/0.40 / \ 0.00/0.40 | 1 0 0 0 0 0 | 0.00/0.40 | 0 1 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 | 0.00/0.40 \ / 0.00/0.40 0.00/0.40 Remains to prove termination of the 4-rule system 0.00/0.40 { 0 5 1 2 4 3 -> 0 5 2 1 4 3 , 0.00/0.40 0 5 2 4 1 3 -> 0 1 5 2 4 3 , 0.00/0.40 0 5 3 1 2 4 -> 0 1 5 3 2 4 , 0.00/0.40 0 5 4 1 3 2 -> 0 5 4 3 1 2 } 0.00/0.40 0.00/0.40 0.00/0.40 The system was filtered by the following matrix interpretation 0.00/0.40 of type E_J with J = {1,...,2} and dimension 7: 0.00/0.40 0.00/0.40 0 is interpreted by 0.00/0.40 / \ 0.00/0.40 | 1 0 1 0 0 0 0 | 0.00/0.40 | 0 1 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 \ / 0.00/0.40 1 is interpreted by 0.00/0.40 / \ 0.00/0.40 | 1 0 0 0 0 0 0 | 0.00/0.40 | 0 1 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 1 0 0 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 \ / 0.00/0.40 2 is interpreted by 0.00/0.40 / \ 0.00/0.40 | 1 0 0 0 0 0 0 | 0.00/0.40 | 0 1 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 1 0 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 \ / 0.00/0.40 3 is interpreted by 0.00/0.40 / \ 0.00/0.40 | 1 0 0 0 0 0 0 | 0.00/0.40 | 0 1 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 | 0 1 0 0 0 0 0 | 0.00/0.40 \ / 0.00/0.40 4 is interpreted by 0.00/0.40 / \ 0.00/0.40 | 1 0 0 0 0 0 0 | 0.00/0.40 | 0 1 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 1 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 \ / 0.00/0.40 5 is interpreted by 0.00/0.40 / \ 0.00/0.40 | 1 0 0 0 0 0 0 | 0.00/0.40 | 0 1 0 0 0 0 0 | 0.00/0.40 | 0 0 0 1 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 \ / 0.00/0.40 0.00/0.40 Remains to prove termination of the 3-rule system 0.00/0.40 { 0 5 2 4 1 3 -> 0 1 5 2 4 3 , 0.00/0.40 0 5 3 1 2 4 -> 0 1 5 3 2 4 , 0.00/0.40 0 5 4 1 3 2 -> 0 5 4 3 1 2 } 0.00/0.40 0.00/0.40 0.00/0.40 The system was filtered by the following matrix interpretation 0.00/0.40 of type E_J with J = {1,...,2} and dimension 7: 0.00/0.40 0.00/0.40 0 is interpreted by 0.00/0.40 / \ 0.00/0.40 | 1 0 1 0 0 0 0 | 0.00/0.40 | 0 1 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 \ / 0.00/0.40 1 is interpreted by 0.00/0.40 / \ 0.00/0.40 | 1 0 0 0 0 0 0 | 0.00/0.40 | 0 1 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 1 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 \ / 0.00/0.40 2 is interpreted by 0.00/0.40 / \ 0.00/0.40 | 1 0 0 0 0 0 0 | 0.00/0.40 | 0 1 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 1 0 0 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 \ / 0.00/0.40 3 is interpreted by 0.00/0.40 / \ 0.00/0.40 | 1 0 0 0 0 0 0 | 0.00/0.40 | 0 1 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 | 0 1 0 0 0 0 0 | 0.00/0.40 \ / 0.00/0.40 4 is interpreted by 0.00/0.40 / \ 0.00/0.40 | 1 0 0 0 0 0 0 | 0.00/0.40 | 0 1 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 1 0 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 \ / 0.00/0.40 5 is interpreted by 0.00/0.40 / \ 0.00/0.40 | 1 0 0 0 0 0 0 | 0.00/0.40 | 0 1 0 0 0 0 0 | 0.00/0.40 | 0 0 0 1 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 \ / 0.00/0.40 0.00/0.40 Remains to prove termination of the 2-rule system 0.00/0.40 { 0 5 3 1 2 4 -> 0 1 5 3 2 4 , 0.00/0.40 0 5 4 1 3 2 -> 0 5 4 3 1 2 } 0.00/0.40 0.00/0.40 0.00/0.40 The system was filtered by the following matrix interpretation 0.00/0.40 of type E_J with J = {1,...,2} and dimension 7: 0.00/0.40 0.00/0.40 0 is interpreted by 0.00/0.40 / \ 0.00/0.40 | 1 0 1 0 0 0 0 | 0.00/0.40 | 0 1 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 \ / 0.00/0.40 1 is interpreted by 0.00/0.40 / \ 0.00/0.40 | 1 0 0 0 0 0 0 | 0.00/0.40 | 0 1 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 1 0 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 \ / 0.00/0.40 2 is interpreted by 0.00/0.40 / \ 0.00/0.40 | 1 0 0 0 0 0 0 | 0.00/0.40 | 0 1 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 1 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 \ / 0.00/0.40 3 is interpreted by 0.00/0.40 / \ 0.00/0.40 | 1 0 0 0 0 0 0 | 0.00/0.40 | 0 1 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 1 0 0 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 \ / 0.00/0.40 4 is interpreted by 0.00/0.40 / \ 0.00/0.40 | 1 0 0 0 0 0 0 | 0.00/0.40 | 0 1 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 | 0 1 0 0 0 0 0 | 0.00/0.40 \ / 0.00/0.40 5 is interpreted by 0.00/0.40 / \ 0.00/0.40 | 1 0 0 0 0 0 0 | 0.00/0.40 | 0 1 0 0 0 0 0 | 0.00/0.40 | 0 0 0 1 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 \ / 0.00/0.40 0.00/0.40 Remains to prove termination of the 1-rule system 0.00/0.40 { 0 5 4 1 3 2 -> 0 5 4 3 1 2 } 0.00/0.40 0.00/0.40 0.00/0.40 The system was filtered by the following matrix interpretation 0.00/0.40 of type E_J with J = {1,...,2} and dimension 7: 0.00/0.40 0.00/0.40 0 is interpreted by 0.00/0.40 / \ 0.00/0.40 | 1 0 1 0 0 0 0 | 0.00/0.40 | 0 1 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 \ / 0.00/0.40 1 is interpreted by 0.00/0.40 / \ 0.00/0.40 | 1 0 0 0 0 0 0 | 0.00/0.40 | 0 1 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 1 0 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 \ / 0.00/0.40 2 is interpreted by 0.00/0.40 / \ 0.00/0.40 | 1 0 0 0 0 0 0 | 0.00/0.40 | 0 1 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 | 0 1 0 0 0 0 0 | 0.00/0.40 \ / 0.00/0.40 3 is interpreted by 0.00/0.40 / \ 0.00/0.40 | 1 0 0 0 0 0 0 | 0.00/0.40 | 0 1 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 1 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 \ / 0.00/0.40 4 is interpreted by 0.00/0.40 / \ 0.00/0.40 | 1 0 0 0 0 0 0 | 0.00/0.40 | 0 1 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 1 0 0 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 \ / 0.00/0.40 5 is interpreted by 0.00/0.40 / \ 0.00/0.40 | 1 0 0 0 0 0 0 | 0.00/0.40 | 0 1 0 0 0 0 0 | 0.00/0.40 | 0 0 0 1 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 | 0 0 0 0 0 0 0 | 0.00/0.40 \ / 0.00/0.40 0.00/0.40 Remains to prove termination of the 0-rule system 0.00/0.40 { } 0.00/0.40 0.00/0.40 0.00/0.40 The system is trivially terminating. 0.00/0.43 EOF