1.42/0.63 YES 1.92/0.70 1.92/0.70 1.92/0.70 The system was filtered by the following matrix interpretation 1.92/0.70 of type E_J with J = {1,...,2} and dimension 4: 1.92/0.70 1.92/0.70 5 is interpreted by 1.92/0.70 / \ 1.92/0.70 | 1 0 1 0 | 1.92/0.70 | 0 1 0 0 | 1.92/0.70 | 0 0 0 1 | 1.92/0.70 | 0 1 0 0 | 1.92/0.70 \ / 1.92/0.70 0 is interpreted by 1.92/0.70 / \ 1.92/0.70 | 1 0 0 0 | 1.92/0.70 | 0 1 0 0 | 1.92/0.70 | 0 0 0 0 | 1.92/0.70 | 0 1 0 0 | 1.92/0.70 \ / 1.92/0.70 4 is interpreted by 1.92/0.70 / \ 1.92/0.70 | 1 0 0 0 | 1.92/0.70 | 0 1 0 0 | 1.92/0.70 | 0 0 0 0 | 1.92/0.70 | 0 0 0 0 | 1.92/0.70 \ / 1.92/0.70 2 is interpreted by 1.92/0.70 / \ 1.92/0.70 | 1 0 0 0 | 1.92/0.70 | 0 1 0 0 | 1.92/0.70 | 0 0 0 0 | 1.92/0.70 | 0 0 0 0 | 1.92/0.70 \ / 1.92/0.70 1 is interpreted by 1.92/0.70 / \ 1.92/0.70 | 1 0 0 0 | 1.92/0.70 | 0 1 0 0 | 1.92/0.70 | 0 0 0 0 | 1.92/0.70 | 0 0 0 0 | 1.92/0.70 \ / 1.92/0.70 3 is interpreted by 1.92/0.70 / \ 1.92/0.70 | 1 0 0 0 | 1.92/0.70 | 0 1 0 0 | 1.92/0.70 | 0 0 0 0 | 1.92/0.70 | 0 0 0 0 | 1.92/0.70 \ / 1.92/0.70 1.92/0.70 Remains to prove termination of the 14-rule system 1.92/0.70 { 5 5 -> 0 5 4 0 2 5 4 5 2 1 , 1.92/0.70 5 5 -> 3 4 1 1 1 1 4 4 0 4 , 1.92/0.70 2 5 5 -> 4 2 5 4 4 0 0 1 1 2 , 1.92/0.70 5 2 4 -> 0 5 0 2 3 3 4 2 4 2 , 1.92/0.70 5 5 2 -> 0 1 3 2 3 0 3 2 5 3 , 1.92/0.70 5 5 3 -> 0 3 5 4 4 1 0 1 5 0 , 1.92/0.70 2 5 0 4 -> 4 4 3 2 4 4 5 1 0 0 , 1.92/0.70 4 5 2 4 -> 4 1 5 5 2 0 3 1 3 3 , 1.92/0.70 0 2 5 3 4 -> 3 2 4 3 1 5 1 1 3 4 , 1.92/0.70 2 5 5 3 4 -> 4 5 4 3 1 4 0 2 4 4 , 1.92/0.70 1 2 4 5 2 4 -> 3 3 5 3 0 4 0 3 1 3 , 1.92/0.70 4 2 5 5 1 5 -> 2 3 4 2 1 1 3 4 2 5 , 1.92/0.70 5 5 2 4 5 0 -> 2 1 1 4 2 4 0 4 2 0 , 1.92/0.70 4 4 5 2 4 2 2 -> 4 0 5 5 4 5 1 2 2 1 } 1.92/0.70 1.92/0.70 1.92/0.70 The system was filtered by the following matrix interpretation 1.92/0.70 of type E_J with J = {1,...,2} and dimension 4: 1.92/0.70 1.92/0.70 5 is interpreted by 1.92/0.70 / \ 1.92/0.70 | 1 0 1 0 | 1.92/0.70 | 0 1 0 0 | 1.92/0.70 | 0 0 0 0 | 1.92/0.70 | 1 0 0 0 | 1.92/0.70 \ / 1.92/0.70 0 is interpreted by 1.92/0.70 / \ 1.92/0.70 | 1 0 0 0 | 1.92/0.70 | 0 1 0 0 | 1.92/0.70 | 0 0 0 0 | 1.92/0.70 | 0 0 0 0 | 1.92/0.70 \ / 1.92/0.70 4 is interpreted by 1.92/0.70 / \ 1.92/0.70 | 1 0 0 0 | 1.92/0.70 | 0 1 0 0 | 1.92/0.70 | 0 0 0 0 | 1.92/0.70 | 0 1 0 0 | 1.92/0.70 \ / 1.92/0.70 2 is interpreted by 1.92/0.70 / \ 1.92/0.70 | 1 0 0 0 | 1.92/0.70 | 0 1 0 0 | 1.92/0.70 | 0 0 0 1 | 1.92/0.70 | 0 1 0 0 | 1.92/0.70 \ / 1.92/0.70 1 is interpreted by 1.92/0.70 / \ 1.92/0.70 | 1 0 0 0 | 1.92/0.70 | 0 1 0 0 | 1.92/0.70 | 0 0 0 0 | 1.92/0.70 | 0 0 0 0 | 1.92/0.70 \ / 1.92/0.70 3 is interpreted by 1.92/0.70 / \ 1.92/0.70 | 1 0 0 0 | 1.92/0.70 | 0 1 0 0 | 1.92/0.70 | 0 0 0 0 | 1.92/0.70 | 0 0 0 0 | 1.92/0.70 \ / 1.92/0.70 1.92/0.70 Remains to prove termination of the 9-rule system 1.92/0.70 { 5 5 -> 0 5 4 0 2 5 4 5 2 1 , 1.92/0.70 5 5 -> 3 4 1 1 1 1 4 4 0 4 , 1.92/0.70 2 5 5 -> 4 2 5 4 4 0 0 1 1 2 , 1.92/0.70 5 5 2 -> 0 1 3 2 3 0 3 2 5 3 , 1.92/0.70 5 5 3 -> 0 3 5 4 4 1 0 1 5 0 , 1.92/0.70 2 5 0 4 -> 4 4 3 2 4 4 5 1 0 0 , 1.92/0.70 0 2 5 3 4 -> 3 2 4 3 1 5 1 1 3 4 , 1.92/0.70 2 5 5 3 4 -> 4 5 4 3 1 4 0 2 4 4 , 1.92/0.70 4 2 5 5 1 5 -> 2 3 4 2 1 1 3 4 2 5 } 1.92/0.70 1.92/0.70 1.92/0.70 The system was filtered by the following matrix interpretation 1.92/0.70 of type E_J with J = {1,...,2} and dimension 3: 1.92/0.70 1.92/0.70 5 is interpreted by 1.92/0.70 / \ 1.92/0.70 | 1 0 1 | 1.92/0.70 | 0 1 0 | 1.92/0.70 | 0 1 0 | 1.92/0.70 \ / 1.92/0.70 0 is interpreted by 1.92/0.70 / \ 1.92/0.70 | 1 0 0 | 1.92/0.70 | 0 1 0 | 1.92/0.70 | 0 0 0 | 1.92/0.70 \ / 1.92/0.70 4 is interpreted by 1.92/0.70 / \ 1.92/0.70 | 1 0 0 | 1.92/0.70 | 0 1 0 | 1.92/0.70 | 0 0 0 | 1.92/0.70 \ / 1.92/0.70 2 is interpreted by 1.92/0.70 / \ 1.92/0.70 | 1 0 0 | 1.92/0.70 | 0 1 0 | 1.92/0.70 | 0 0 0 | 1.92/0.70 \ / 1.92/0.70 1 is interpreted by 1.92/0.70 / \ 1.92/0.70 | 1 0 0 | 1.92/0.70 | 0 1 0 | 1.92/0.70 | 0 0 0 | 1.92/0.70 \ / 1.92/0.70 3 is interpreted by 1.92/0.70 / \ 1.92/0.70 | 1 0 0 | 1.92/0.70 | 0 1 0 | 1.92/0.70 | 0 0 0 | 1.92/0.70 \ / 1.92/0.70 1.92/0.70 Remains to prove termination of the 2-rule system 1.92/0.70 { 2 5 0 4 -> 4 4 3 2 4 4 5 1 0 0 , 1.92/0.70 0 2 5 3 4 -> 3 2 4 3 1 5 1 1 3 4 } 1.92/0.70 1.92/0.70 1.92/0.70 The system was filtered by the following matrix interpretation 1.92/0.70 of type E_J with J = {1,...,2} and dimension 5: 1.92/0.70 1.92/0.70 5 is interpreted by 1.92/0.70 / \ 1.92/0.70 | 1 0 0 0 0 | 1.92/0.70 | 0 1 0 0 0 | 1.92/0.70 | 0 0 0 1 0 | 1.92/0.70 | 0 0 0 0 0 | 1.92/0.70 | 0 0 0 0 0 | 1.92/0.70 \ / 1.92/0.70 0 is interpreted by 1.92/0.70 / \ 1.92/0.70 | 1 0 0 0 0 | 1.92/0.70 | 0 1 0 0 0 | 1.92/0.70 | 0 0 0 0 0 | 1.92/0.70 | 0 0 0 0 1 | 1.92/0.70 | 0 0 0 0 0 | 1.92/0.70 \ / 1.92/0.70 4 is interpreted by 1.92/0.70 / \ 1.92/0.70 | 1 0 0 0 0 | 1.92/0.70 | 0 1 0 0 0 | 1.92/0.70 | 0 0 0 0 0 | 1.92/0.70 | 0 0 0 0 0 | 1.92/0.70 | 0 1 0 0 0 | 1.92/0.70 \ / 1.92/0.70 2 is interpreted by 1.92/0.70 / \ 1.92/0.70 | 1 0 1 0 0 | 1.92/0.70 | 0 1 0 0 0 | 1.92/0.70 | 0 0 0 0 0 | 1.92/0.70 | 0 0 0 0 0 | 1.92/0.70 | 0 1 0 0 0 | 1.92/0.70 \ / 1.92/0.70 1 is interpreted by 1.92/0.70 / \ 1.92/0.70 | 1 0 0 0 0 | 1.92/0.70 | 0 1 0 0 0 | 1.92/0.70 | 0 0 0 0 0 | 1.92/0.70 | 0 0 0 0 0 | 1.92/0.70 | 0 0 0 0 0 | 1.92/0.70 \ / 1.92/0.70 3 is interpreted by 1.92/0.70 / \ 1.92/0.70 | 1 0 0 0 0 | 1.92/0.70 | 0 1 0 0 0 | 1.92/0.70 | 0 0 0 0 0 | 1.92/0.70 | 0 0 0 0 0 | 1.92/0.70 | 0 0 0 0 0 | 1.92/0.70 \ / 1.92/0.70 1.92/0.70 Remains to prove termination of the 1-rule system 1.92/0.70 { 0 2 5 3 4 -> 3 2 4 3 1 5 1 1 3 4 } 1.92/0.70 1.92/0.70 1.92/0.70 The system was filtered by the following matrix interpretation 1.92/0.70 of type E_J with J = {1,...,2} and dimension 2: 1.92/0.70 1.92/0.70 5 is interpreted by 1.92/0.70 / \ 1.92/0.70 | 1 0 | 1.92/0.70 | 0 1 | 1.92/0.70 \ / 1.92/0.70 0 is interpreted by 1.92/0.70 / \ 1.92/0.70 | 1 1 | 1.92/0.70 | 0 1 | 1.92/0.70 \ / 1.92/0.70 4 is interpreted by 1.92/0.70 / \ 1.92/0.70 | 1 0 | 1.92/0.70 | 0 1 | 1.92/0.70 \ / 1.92/0.70 2 is interpreted by 1.92/0.70 / \ 1.92/0.70 | 1 0 | 1.92/0.70 | 0 1 | 1.92/0.70 \ / 1.92/0.70 1 is interpreted by 1.92/0.70 / \ 1.92/0.70 | 1 0 | 1.92/0.70 | 0 1 | 1.92/0.70 \ / 1.92/0.70 3 is interpreted by 1.92/0.70 / \ 1.92/0.70 | 1 0 | 1.92/0.70 | 0 1 | 1.92/0.70 \ / 1.92/0.70 1.92/0.70 Remains to prove termination of the 0-rule system 1.92/0.70 { } 1.92/0.70 1.92/0.70 1.92/0.70 The system is trivially terminating. 2.39/0.83 EOF