0.00/0.57 YES 0.00/0.60 0.00/0.60 0.00/0.60 The system was filtered by the following matrix interpretation 0.00/0.60 of type E_J with J = {1,...,2} and dimension 4: 0.00/0.60 0.00/0.60 1 is interpreted by 0.00/0.60 / \ 0.00/0.60 | 1 0 0 0 | 0.00/0.60 | 0 1 0 0 | 0.00/0.60 | 0 0 0 0 | 0.00/0.60 | 0 0 0 0 | 0.00/0.60 \ / 0.00/0.60 4 is interpreted by 0.00/0.60 / \ 0.00/0.60 | 1 0 0 0 | 0.00/0.60 | 0 1 0 0 | 0.00/0.60 | 0 0 0 0 | 0.00/0.60 | 0 0 0 0 | 0.00/0.60 \ / 0.00/0.60 3 is interpreted by 0.00/0.60 / \ 0.00/0.60 | 1 0 0 0 | 0.00/0.60 | 0 1 0 0 | 0.00/0.60 | 0 0 0 0 | 0.00/0.60 | 0 0 0 0 | 0.00/0.60 \ / 0.00/0.60 2 is interpreted by 0.00/0.60 / \ 0.00/0.60 | 1 0 0 0 | 0.00/0.60 | 0 1 0 0 | 0.00/0.60 | 0 0 0 0 | 0.00/0.60 | 0 0 0 0 | 0.00/0.60 \ / 0.00/0.60 5 is interpreted by 0.00/0.60 / \ 0.00/0.60 | 1 0 0 0 | 0.00/0.60 | 0 1 0 0 | 0.00/0.60 | 0 0 0 1 | 0.00/0.60 | 0 1 0 0 | 0.00/0.60 \ / 0.00/0.60 0 is interpreted by 0.00/0.60 / \ 0.00/0.60 | 1 0 1 0 | 0.00/0.60 | 0 1 0 0 | 0.00/0.60 | 0 0 0 0 | 0.00/0.60 | 0 0 0 0 | 0.00/0.60 \ / 0.00/0.60 0.00/0.60 Remains to prove termination of the 16-rule system 0.00/0.60 { 1 4 -> 3 1 1 2 2 4 , 0.00/0.60 5 4 -> 4 2 3 1 1 1 , 0.00/0.60 0 3 0 -> 2 1 1 0 2 0 , 0.00/0.60 1 5 4 -> 0 2 5 2 0 4 , 0.00/0.60 3 5 4 -> 4 1 3 4 2 3 , 0.00/0.60 4 1 4 -> 3 3 2 2 3 1 , 0.00/0.60 5 4 0 -> 2 4 0 4 4 0 , 0.00/0.60 5 4 0 -> 5 1 5 2 1 0 , 0.00/0.60 5 4 4 -> 4 1 1 3 2 4 , 0.00/0.60 5 5 4 -> 3 4 4 1 2 2 , 0.00/0.60 1 4 5 4 -> 0 4 5 0 2 1 , 0.00/0.60 1 4 5 5 -> 0 0 1 3 4 1 , 0.00/0.60 2 5 4 0 -> 0 4 1 2 4 0 , 0.00/0.60 4 3 0 5 -> 3 3 2 3 5 5 , 0.00/0.60 5 4 0 0 -> 1 0 4 0 2 2 , 0.00/0.60 5 4 0 2 -> 3 0 4 5 0 2 } 0.00/0.60 0.00/0.60 0.00/0.60 The system was filtered by the following matrix interpretation 0.00/0.60 of type E_J with J = {1,...,2} and dimension 5: 0.00/0.60 0.00/0.60 1 is interpreted by 0.00/0.60 / \ 0.00/0.60 | 1 0 0 0 0 | 0.00/0.60 | 0 1 0 0 0 | 0.00/0.60 | 0 0 0 0 0 | 0.00/0.60 | 0 0 0 0 0 | 0.00/0.60 | 0 0 0 0 0 | 0.00/0.60 \ / 0.00/0.60 4 is interpreted by 0.00/0.60 / \ 0.00/0.60 | 1 0 1 0 0 | 0.00/0.60 | 0 1 0 0 0 | 0.00/0.60 | 0 0 0 0 0 | 0.00/0.60 | 0 0 0 0 0 | 0.00/0.60 | 0 0 0 0 0 | 0.00/0.60 \ / 0.00/0.60 3 is interpreted by 0.00/0.60 / \ 0.00/0.60 | 1 0 0 0 0 | 0.00/0.60 | 0 1 0 0 0 | 0.00/0.60 | 0 0 0 1 0 | 0.00/0.60 | 0 0 0 0 0 | 0.00/0.60 | 0 0 0 0 0 | 0.00/0.60 \ / 0.00/0.60 2 is interpreted by 0.00/0.60 / \ 0.00/0.60 | 1 0 0 0 0 | 0.00/0.60 | 0 1 0 0 0 | 0.00/0.60 | 0 0 0 0 0 | 0.00/0.60 | 0 0 0 0 0 | 0.00/0.60 | 0 0 0 0 0 | 0.00/0.60 \ / 0.00/0.60 5 is interpreted by 0.00/0.60 / \ 0.00/0.60 | 1 0 0 0 0 | 0.00/0.60 | 0 1 0 0 0 | 0.00/0.60 | 0 0 0 0 0 | 0.00/0.60 | 0 0 0 0 0 | 0.00/0.60 | 0 1 0 0 0 | 0.00/0.60 \ / 0.00/0.60 0 is interpreted by 0.00/0.60 / \ 0.00/0.60 | 1 0 0 0 0 | 0.00/0.60 | 0 1 0 0 0 | 0.00/0.60 | 0 0 0 0 0 | 0.00/0.60 | 0 0 0 0 1 | 0.00/0.60 | 0 0 0 0 0 | 0.00/0.60 \ / 0.00/0.60 0.00/0.60 Remains to prove termination of the 15-rule system 0.00/0.60 { 1 4 -> 3 1 1 2 2 4 , 0.00/0.60 5 4 -> 4 2 3 1 1 1 , 0.00/0.60 0 3 0 -> 2 1 1 0 2 0 , 0.00/0.60 1 5 4 -> 0 2 5 2 0 4 , 0.00/0.60 3 5 4 -> 4 1 3 4 2 3 , 0.00/0.60 4 1 4 -> 3 3 2 2 3 1 , 0.00/0.60 5 4 0 -> 2 4 0 4 4 0 , 0.00/0.60 5 4 0 -> 5 1 5 2 1 0 , 0.00/0.60 5 4 4 -> 4 1 1 3 2 4 , 0.00/0.60 5 5 4 -> 3 4 4 1 2 2 , 0.00/0.60 1 4 5 4 -> 0 4 5 0 2 1 , 0.00/0.60 1 4 5 5 -> 0 0 1 3 4 1 , 0.00/0.60 2 5 4 0 -> 0 4 1 2 4 0 , 0.00/0.60 5 4 0 0 -> 1 0 4 0 2 2 , 0.00/0.60 5 4 0 2 -> 3 0 4 5 0 2 } 0.00/0.60 0.00/0.60 0.00/0.60 The system was filtered by the following matrix interpretation 0.00/0.60 of type E_J with J = {1,...,2} and dimension 3: 0.00/0.60 0.00/0.60 1 is interpreted by 0.00/0.60 / \ 0.00/0.60 | 1 0 0 | 0.00/0.60 | 0 1 0 | 0.00/0.60 | 0 0 0 | 0.00/0.60 \ / 0.00/0.60 4 is interpreted by 0.00/0.60 / \ 0.00/0.60 | 1 0 0 | 0.00/0.60 | 0 1 0 | 0.00/0.60 | 0 1 0 | 0.00/0.60 \ / 0.00/0.60 3 is interpreted by 0.00/0.60 / \ 0.00/0.60 | 1 0 0 | 0.00/0.60 | 0 1 0 | 0.00/0.60 | 0 0 1 | 0.00/0.60 \ / 0.00/0.60 2 is interpreted by 0.00/0.60 / \ 0.00/0.60 | 1 0 0 | 0.00/0.60 | 0 1 0 | 0.00/0.60 | 0 0 0 | 0.00/0.60 \ / 0.00/0.60 5 is interpreted by 0.00/0.60 / \ 0.00/0.60 | 1 0 1 | 0.00/0.60 | 0 1 0 | 0.00/0.60 | 0 1 0 | 0.00/0.60 \ / 0.00/0.60 0 is interpreted by 0.00/0.60 / \ 0.00/0.60 | 1 0 0 | 0.00/0.60 | 0 1 0 | 0.00/0.60 | 0 0 0 | 0.00/0.60 \ / 0.00/0.60 0.00/0.60 Remains to prove termination of the 3-rule system 0.00/0.60 { 1 4 -> 3 1 1 2 2 4 , 0.00/0.60 0 3 0 -> 2 1 1 0 2 0 , 0.00/0.60 4 1 4 -> 3 3 2 2 3 1 } 0.00/0.60 0.00/0.60 0.00/0.60 The system was filtered by the following matrix interpretation 0.00/0.60 of type E_J with J = {1,...,2} and dimension 2: 0.00/0.60 0.00/0.60 1 is interpreted by 0.00/0.60 / \ 0.00/0.60 | 1 0 | 0.00/0.60 | 0 1 | 0.00/0.60 \ / 0.00/0.60 4 is interpreted by 0.00/0.60 / \ 0.00/0.60 | 1 1 | 0.00/0.60 | 0 1 | 0.00/0.60 \ / 0.00/0.60 3 is interpreted by 0.00/0.60 / \ 0.00/0.60 | 1 0 | 0.00/0.60 | 0 1 | 0.00/0.60 \ / 0.00/0.60 2 is interpreted by 0.00/0.60 / \ 0.00/0.60 | 1 0 | 0.00/0.60 | 0 1 | 0.00/0.60 \ / 0.00/0.60 5 is interpreted by 0.00/0.60 / \ 0.00/0.60 | 1 0 | 0.00/0.60 | 0 1 | 0.00/0.60 \ / 0.00/0.60 0 is interpreted by 0.00/0.60 / \ 0.00/0.60 | 1 0 | 0.00/0.60 | 0 1 | 0.00/0.60 \ / 0.00/0.60 0.00/0.60 Remains to prove termination of the 2-rule system 0.00/0.60 { 1 4 -> 3 1 1 2 2 4 , 0.00/0.60 0 3 0 -> 2 1 1 0 2 0 } 0.00/0.60 0.00/0.60 0.00/0.60 The system was filtered by the following matrix interpretation 0.00/0.60 of type E_J with J = {1,...,2} and dimension 3: 0.00/0.60 0.00/0.60 1 is interpreted by 0.00/0.60 / \ 0.00/0.60 | 1 0 1 | 0.00/0.60 | 0 1 0 | 0.00/0.60 | 0 0 0 | 0.00/0.60 \ / 0.00/0.60 4 is interpreted by 0.00/0.60 / \ 0.00/0.60 | 1 0 0 | 0.00/0.60 | 0 1 0 | 0.00/0.60 | 0 1 0 | 0.00/0.60 \ / 0.00/0.60 3 is interpreted by 0.00/0.60 / \ 0.00/0.60 | 1 0 0 | 0.00/0.60 | 0 1 0 | 0.00/0.60 | 0 0 0 | 0.00/0.60 \ / 0.00/0.60 2 is interpreted by 0.00/0.60 / \ 0.00/0.60 | 1 0 0 | 0.00/0.60 | 0 1 0 | 0.00/0.60 | 0 0 0 | 0.00/0.60 \ / 0.00/0.60 5 is interpreted by 0.00/0.60 / \ 0.00/0.60 | 1 0 0 | 0.00/0.60 | 0 1 0 | 0.00/0.60 | 0 0 0 | 0.00/0.60 \ / 0.00/0.60 0 is interpreted by 0.00/0.60 / \ 0.00/0.60 | 1 0 0 | 0.00/0.60 | 0 1 0 | 0.00/0.60 | 0 0 0 | 0.00/0.60 \ / 0.00/0.60 0.00/0.60 Remains to prove termination of the 1-rule system 0.00/0.60 { 0 3 0 -> 2 1 1 0 2 0 } 0.00/0.60 0.00/0.60 0.00/0.60 The system was filtered by the following matrix interpretation 0.00/0.60 of type E_J with J = {1,...,2} and dimension 2: 0.00/0.60 0.00/0.60 1 is interpreted by 0.00/0.60 / \ 0.00/0.60 | 1 0 | 0.00/0.60 | 0 1 | 0.00/0.60 \ / 0.00/0.60 4 is interpreted by 0.00/0.60 / \ 0.00/0.60 | 1 0 | 0.00/0.60 | 0 1 | 0.00/0.60 \ / 0.00/0.60 3 is interpreted by 0.00/0.60 / \ 0.00/0.60 | 1 1 | 0.00/0.60 | 0 1 | 0.00/0.60 \ / 0.00/0.60 2 is interpreted by 0.00/0.60 / \ 0.00/0.60 | 1 0 | 0.00/0.60 | 0 1 | 0.00/0.60 \ / 0.00/0.60 5 is interpreted by 0.00/0.60 / \ 0.00/0.60 | 1 0 | 0.00/0.60 | 0 1 | 0.00/0.60 \ / 0.00/0.60 0 is interpreted by 0.00/0.60 / \ 0.00/0.60 | 1 0 | 0.00/0.60 | 0 1 | 0.00/0.60 \ / 0.00/0.60 0.00/0.60 Remains to prove termination of the 0-rule system 0.00/0.60 { } 0.00/0.60 0.00/0.60 0.00/0.60 The system is trivially terminating. 0.00/0.63 EOF