29.81/7.80 YES 29.86/7.87 29.86/7.87 29.86/7.87 The system was filtered by the following matrix interpretation 29.86/7.87 of type E_J with J = {1,...,2} and dimension 5: 29.86/7.87 29.86/7.87 0 is interpreted by 29.86/7.87 / \ 29.86/7.87 | 1 0 0 0 0 | 29.86/7.87 | 0 1 0 0 0 | 29.86/7.87 | 0 0 0 0 0 | 29.86/7.87 | 0 0 0 0 0 | 29.86/7.87 | 0 0 0 0 0 | 29.86/7.87 \ / 29.86/7.87 1 is interpreted by 29.86/7.87 / \ 29.86/7.87 | 1 0 1 0 0 | 29.86/7.87 | 0 1 0 0 0 | 29.86/7.87 | 0 0 0 0 0 | 29.86/7.87 | 0 0 0 0 1 | 29.86/7.87 | 0 0 0 0 0 | 29.86/7.87 \ / 29.86/7.87 2 is interpreted by 29.86/7.87 / \ 29.86/7.87 | 1 0 0 0 0 | 29.86/7.87 | 0 1 0 0 0 | 29.86/7.87 | 0 0 0 0 0 | 29.86/7.87 | 0 0 0 0 0 | 29.86/7.87 | 0 0 0 0 0 | 29.86/7.87 \ / 29.86/7.87 3 is interpreted by 29.86/7.87 / \ 29.86/7.87 | 1 0 0 0 0 | 29.86/7.87 | 0 1 0 0 0 | 29.86/7.87 | 0 0 0 1 0 | 29.86/7.87 | 0 0 0 0 0 | 29.86/7.87 | 0 0 0 0 0 | 29.86/7.87 \ / 29.86/7.87 4 is interpreted by 29.86/7.87 / \ 29.86/7.87 | 1 0 0 0 0 | 29.86/7.87 | 0 1 0 0 0 | 29.86/7.87 | 0 0 0 0 0 | 29.86/7.87 | 0 0 0 0 0 | 29.86/7.87 | 0 0 0 0 0 | 29.86/7.87 \ / 29.86/7.87 5 is interpreted by 29.86/7.87 / \ 29.86/7.87 | 1 0 1 0 0 | 29.86/7.87 | 0 1 0 0 0 | 29.86/7.87 | 0 0 0 0 0 | 29.86/7.87 | 0 1 0 0 0 | 29.86/7.87 | 0 1 0 0 0 | 29.86/7.87 \ / 29.86/7.87 29.86/7.87 Remains to prove termination of the 45-rule system 29.86/7.87 { 0 0 1 -> 0 1 2 0 , 29.86/7.87 0 0 1 -> 0 3 1 0 , 29.86/7.87 0 0 1 -> 1 0 4 0 , 29.86/7.87 0 0 1 -> 0 1 3 0 2 , 29.86/7.87 0 0 1 -> 0 1 3 0 4 , 29.86/7.87 0 0 1 -> 0 2 0 1 2 , 29.86/7.87 0 0 1 -> 0 3 0 1 2 , 29.86/7.87 0 0 1 -> 0 3 0 3 1 , 29.86/7.87 0 0 1 -> 0 4 0 4 1 , 29.86/7.87 0 0 1 -> 1 2 0 2 0 , 29.86/7.87 0 0 1 -> 1 2 2 0 0 , 29.86/7.87 0 0 1 -> 0 0 2 2 1 2 , 29.86/7.87 0 0 1 -> 0 1 2 4 2 0 , 29.86/7.87 0 0 1 -> 1 2 0 3 0 4 , 29.86/7.87 0 1 1 -> 0 2 1 1 , 29.86/7.87 0 1 1 -> 0 3 1 1 , 29.86/7.87 0 1 1 -> 1 1 3 0 4 , 29.86/7.87 0 1 1 -> 1 2 0 2 1 , 29.86/7.87 0 1 1 -> 1 0 3 1 2 4 , 29.86/7.87 0 1 1 -> 1 0 4 2 1 2 , 29.86/7.87 0 1 1 -> 1 1 2 4 3 0 , 29.86/7.87 0 1 1 -> 1 2 1 0 4 4 , 29.86/7.87 0 1 1 -> 1 2 2 1 3 0 , 29.86/7.87 0 5 1 -> 0 3 1 5 , 29.86/7.87 0 5 1 -> 0 4 5 1 , 29.86/7.87 0 5 1 -> 0 2 3 1 5 , 29.86/7.87 0 5 1 -> 0 3 1 5 2 , 29.86/7.87 0 5 1 -> 0 3 1 2 5 2 , 29.86/7.87 5 0 1 -> 5 1 2 4 0 , 29.86/7.87 5 0 1 -> 5 0 2 1 2 4 , 29.86/7.87 5 0 1 -> 5 1 2 3 0 4 , 29.86/7.87 0 0 1 5 -> 0 4 1 0 5 , 29.86/7.87 0 0 2 1 -> 2 0 3 0 2 1 , 29.86/7.87 0 0 2 1 -> 2 3 0 2 0 1 , 29.86/7.87 0 1 0 1 -> 1 0 2 0 1 , 29.86/7.87 0 1 1 1 -> 1 1 3 1 0 , 29.86/7.87 5 0 1 1 -> 1 5 1 2 0 , 29.86/7.87 5 3 0 1 -> 5 1 2 3 0 , 29.86/7.87 5 3 2 1 -> 1 2 3 5 2 , 29.86/7.87 5 4 0 1 -> 1 2 5 0 4 , 29.86/7.87 0 0 5 1 5 -> 1 2 5 5 0 0 , 29.86/7.87 0 5 3 0 1 -> 1 0 5 3 0 4 , 29.86/7.87 0 5 3 4 1 -> 1 0 3 5 4 5 , 29.86/7.87 0 5 4 0 1 -> 0 1 3 0 4 5 , 29.86/7.87 5 4 2 1 1 -> 5 4 1 2 1 2 } 29.86/7.87 29.86/7.87 29.86/7.87 The system was filtered by the following matrix interpretation 29.86/7.87 of type E_J with J = {1,...,2} and dimension 5: 29.86/7.87 29.86/7.87 0 is interpreted by 29.86/7.87 / \ 29.86/7.87 | 1 0 1 0 0 | 29.86/7.87 | 0 1 0 0 0 | 29.86/7.87 | 0 0 0 1 0 | 29.86/7.87 | 0 0 0 0 0 | 29.86/7.87 | 0 0 0 0 0 | 29.86/7.87 \ / 29.86/7.87 1 is interpreted by 29.86/7.87 / \ 29.86/7.87 | 1 0 1 1 0 | 29.86/7.87 | 0 2 0 0 0 | 29.86/7.87 | 0 0 0 0 0 | 29.86/7.87 | 0 0 0 1 1 | 29.86/7.87 | 0 0 0 0 0 | 29.86/7.87 \ / 29.86/7.87 2 is interpreted by 29.86/7.87 / \ 29.86/7.87 | 1 0 0 0 0 | 29.86/7.87 | 0 1 0 0 0 | 29.86/7.87 | 0 0 0 0 0 | 29.86/7.87 | 0 0 0 0 0 | 29.86/7.87 | 0 0 0 0 0 | 29.86/7.87 \ / 29.86/7.87 3 is interpreted by 29.86/7.87 / \ 29.86/7.87 | 1 0 0 0 0 | 29.86/7.87 | 0 1 0 0 0 | 29.86/7.87 | 0 0 0 0 0 | 29.86/7.87 | 0 0 0 0 0 | 29.86/7.87 | 0 0 0 0 0 | 29.86/7.87 \ / 29.86/7.87 4 is interpreted by 29.86/7.87 / \ 29.86/7.87 | 1 0 0 0 0 | 29.86/7.87 | 0 1 0 0 0 | 29.86/7.87 | 0 0 0 0 0 | 29.86/7.87 | 0 0 0 0 0 | 29.86/7.87 | 0 0 0 0 0 | 29.86/7.87 \ / 29.86/7.87 5 is interpreted by 29.86/7.87 / \ 29.86/7.87 | 1 1 1 0 0 | 29.86/7.87 | 0 1 0 0 0 | 29.86/7.87 | 0 0 0 1 0 | 29.86/7.87 | 0 1 0 0 0 | 29.86/7.87 | 0 1 0 0 0 | 29.86/7.87 \ / 29.86/7.87 29.86/7.87 Remains to prove termination of the 39-rule system 29.86/7.87 { 0 0 1 -> 0 1 2 0 , 29.86/7.87 0 0 1 -> 0 3 1 0 , 29.86/7.87 0 0 1 -> 1 0 4 0 , 29.86/7.87 0 0 1 -> 0 1 3 0 2 , 29.86/7.87 0 0 1 -> 0 1 3 0 4 , 29.86/7.87 0 0 1 -> 0 2 0 1 2 , 29.86/7.87 0 0 1 -> 0 3 0 1 2 , 29.86/7.87 0 0 1 -> 0 3 0 3 1 , 29.86/7.87 0 0 1 -> 0 4 0 4 1 , 29.86/7.87 0 0 1 -> 1 2 0 2 0 , 29.86/7.87 0 0 1 -> 1 2 2 0 0 , 29.86/7.87 0 0 1 -> 0 0 2 2 1 2 , 29.86/7.87 0 0 1 -> 0 1 2 4 2 0 , 29.86/7.87 0 0 1 -> 1 2 0 3 0 4 , 29.86/7.87 0 1 1 -> 0 2 1 1 , 29.86/7.87 0 1 1 -> 0 3 1 1 , 29.86/7.87 0 1 1 -> 1 1 3 0 4 , 29.86/7.87 0 1 1 -> 1 2 0 2 1 , 29.86/7.87 0 1 1 -> 1 0 3 1 2 4 , 29.86/7.87 0 1 1 -> 1 0 4 2 1 2 , 29.86/7.87 0 1 1 -> 1 1 2 4 3 0 , 29.86/7.87 0 1 1 -> 1 2 1 0 4 4 , 29.86/7.87 0 1 1 -> 1 2 2 1 3 0 , 29.86/7.87 0 5 1 -> 0 3 1 5 , 29.86/7.87 0 5 1 -> 0 4 5 1 , 29.86/7.87 0 5 1 -> 0 2 3 1 5 , 29.86/7.87 0 5 1 -> 0 3 1 5 2 , 29.86/7.87 5 0 1 -> 5 1 2 4 0 , 29.86/7.87 5 0 1 -> 5 0 2 1 2 4 , 29.86/7.87 5 0 1 -> 5 1 2 3 0 4 , 29.86/7.87 0 0 2 1 -> 2 0 3 0 2 1 , 29.86/7.87 0 0 2 1 -> 2 3 0 2 0 1 , 29.86/7.87 0 1 0 1 -> 1 0 2 0 1 , 29.86/7.87 0 1 1 1 -> 1 1 3 1 0 , 29.86/7.87 5 0 1 1 -> 1 5 1 2 0 , 29.86/7.87 5 3 0 1 -> 5 1 2 3 0 , 29.86/7.87 0 5 3 0 1 -> 1 0 5 3 0 4 , 29.86/7.87 0 5 3 4 1 -> 1 0 3 5 4 5 , 29.86/7.87 5 4 2 1 1 -> 5 4 1 2 1 2 } 29.86/7.87 29.86/7.87 29.86/7.87 The system was filtered by the following matrix interpretation 29.86/7.87 of type E_J with J = {1,...,2} and dimension 5: 29.86/7.87 29.86/7.87 0 is interpreted by 29.86/7.87 / \ 29.86/7.87 | 1 1 1 0 0 | 29.86/7.87 | 0 1 0 0 0 | 29.86/7.87 | 0 0 0 1 0 | 29.86/7.87 | 0 0 0 0 1 | 29.86/7.87 | 0 0 0 0 1 | 29.86/7.87 \ / 29.86/7.87 1 is interpreted by 29.86/7.87 / \ 29.86/7.87 | 1 0 1 1 0 | 29.86/7.87 | 0 2 0 0 0 | 29.86/7.87 | 0 0 0 0 0 | 29.86/7.87 | 0 0 0 0 1 | 29.86/7.87 | 0 1 0 0 0 | 29.86/7.87 \ / 29.86/7.87 2 is interpreted by 29.86/7.87 / \ 29.86/7.87 | 1 0 0 0 0 | 29.86/7.87 | 0 1 0 0 0 | 29.86/7.87 | 0 0 0 0 0 | 29.86/7.87 | 0 0 0 0 0 | 29.86/7.87 | 0 0 0 0 0 | 29.86/7.87 \ / 29.86/7.87 3 is interpreted by 29.86/7.87 / \ 29.86/7.87 | 1 0 0 0 0 | 29.86/7.87 | 0 1 0 0 0 | 29.86/7.87 | 0 0 0 0 0 | 29.86/7.87 | 0 0 0 0 0 | 29.86/7.87 | 0 0 0 0 0 | 29.86/7.87 \ / 29.86/7.87 4 is interpreted by 29.86/7.87 / \ 29.86/7.87 | 1 0 0 0 0 | 29.86/7.87 | 0 1 0 0 0 | 29.86/7.87 | 0 0 0 0 0 | 29.86/7.87 | 0 0 0 0 0 | 29.86/7.87 | 0 0 0 0 0 | 29.86/7.87 \ / 29.86/7.87 5 is interpreted by 29.86/7.87 / \ 29.86/7.87 | 1 0 1 0 0 | 29.86/7.87 | 0 1 0 0 0 | 29.86/7.87 | 0 0 0 0 0 | 29.86/7.87 | 0 0 0 1 0 | 29.86/7.87 | 0 1 0 0 0 | 29.86/7.87 \ / 29.86/7.87 29.86/7.87 Remains to prove termination of the 15-rule system 29.86/7.87 { 0 0 1 -> 0 2 0 1 2 , 29.86/7.87 0 0 1 -> 0 3 0 1 2 , 29.86/7.87 0 0 1 -> 0 3 0 3 1 , 29.86/7.87 0 0 1 -> 0 4 0 4 1 , 29.86/7.87 0 0 1 -> 0 0 2 2 1 2 , 29.86/7.87 0 1 1 -> 0 2 1 1 , 29.86/7.87 0 1 1 -> 0 3 1 1 , 29.86/7.87 0 5 1 -> 0 3 1 5 , 29.86/7.87 0 5 1 -> 0 4 5 1 , 29.86/7.87 0 5 1 -> 0 2 3 1 5 , 29.86/7.87 0 5 1 -> 0 3 1 5 2 , 29.86/7.87 5 0 1 -> 5 0 2 1 2 4 , 29.86/7.87 0 0 2 1 -> 2 0 3 0 2 1 , 29.86/7.87 0 0 2 1 -> 2 3 0 2 0 1 , 29.86/7.87 5 4 2 1 1 -> 5 4 1 2 1 2 } 29.86/7.87 29.86/7.87 29.86/7.87 The system was filtered by the following matrix interpretation 29.86/7.87 of type E_J with J = {1,...,2} and dimension 4: 29.86/7.87 29.86/7.87 0 is interpreted by 29.86/7.87 / \ 29.86/7.87 | 1 0 1 0 | 29.86/7.87 | 0 1 0 0 | 29.86/7.87 | 0 0 0 1 | 29.86/7.87 | 0 0 0 0 | 29.86/7.87 \ / 29.86/7.87 1 is interpreted by 29.86/7.87 / \ 29.86/7.87 | 1 0 0 0 | 29.86/7.87 | 0 1 0 0 | 29.86/7.87 | 0 0 0 0 | 29.86/7.87 | 0 1 0 0 | 29.86/7.87 \ / 29.86/7.87 2 is interpreted by 29.86/7.87 / \ 29.86/7.87 | 1 0 0 0 | 29.86/7.87 | 0 1 0 0 | 29.86/7.87 | 0 0 0 0 | 29.86/7.87 | 0 0 0 0 | 29.86/7.87 \ / 29.86/7.87 3 is interpreted by 29.86/7.87 / \ 29.86/7.87 | 1 0 0 0 | 29.86/7.87 | 0 1 0 0 | 29.86/7.87 | 0 0 0 0 | 29.86/7.87 | 0 0 0 0 | 29.86/7.87 \ / 29.86/7.87 4 is interpreted by 29.86/7.87 / \ 29.86/7.87 | 1 0 0 0 | 29.86/7.87 | 0 1 0 0 | 29.86/7.87 | 0 0 0 0 | 29.86/7.87 | 0 0 0 0 | 29.86/7.87 \ / 29.86/7.87 5 is interpreted by 29.86/7.87 / \ 29.86/7.87 | 1 0 0 0 | 29.86/7.87 | 0 1 0 0 | 29.86/7.87 | 0 0 0 0 | 29.86/7.87 | 0 0 0 0 | 29.86/7.87 \ / 29.86/7.87 29.86/7.87 Remains to prove termination of the 10-rule system 29.86/7.87 { 0 1 1 -> 0 2 1 1 , 29.86/7.87 0 1 1 -> 0 3 1 1 , 29.86/7.87 0 5 1 -> 0 3 1 5 , 29.86/7.87 0 5 1 -> 0 4 5 1 , 29.86/7.87 0 5 1 -> 0 2 3 1 5 , 29.86/7.87 0 5 1 -> 0 3 1 5 2 , 29.86/7.87 5 0 1 -> 5 0 2 1 2 4 , 29.86/7.87 0 0 2 1 -> 2 0 3 0 2 1 , 29.86/7.87 0 0 2 1 -> 2 3 0 2 0 1 , 29.86/7.87 5 4 2 1 1 -> 5 4 1 2 1 2 } 29.86/7.87 29.86/7.87 29.86/7.87 The system was filtered by the following matrix interpretation 29.86/7.87 of type E_J with J = {1,...,2} and dimension 4: 29.86/7.87 29.86/7.87 0 is interpreted by 29.86/7.87 / \ 29.86/7.87 | 1 0 1 0 | 29.86/7.87 | 0 1 0 0 | 29.86/7.87 | 0 0 0 0 | 29.86/7.87 | 0 0 0 0 | 29.86/7.87 \ / 29.86/7.87 1 is interpreted by 29.86/7.87 / \ 29.86/7.87 | 1 0 0 0 | 29.86/7.87 | 0 1 0 0 | 29.86/7.87 | 0 0 0 0 | 29.86/7.87 | 0 1 0 0 | 29.86/7.87 \ / 29.86/7.87 2 is interpreted by 29.86/7.87 / \ 29.86/7.87 | 1 0 0 0 | 29.86/7.87 | 0 1 0 0 | 29.86/7.87 | 0 0 0 0 | 29.86/7.87 | 0 0 0 0 | 29.86/7.87 \ / 29.86/7.87 3 is interpreted by 29.86/7.87 / \ 29.86/7.87 | 1 0 0 0 | 29.86/7.87 | 0 1 0 0 | 29.86/7.87 | 0 0 0 0 | 29.86/7.87 | 0 0 0 0 | 29.86/7.87 \ / 29.86/7.87 4 is interpreted by 29.86/7.87 / \ 29.86/7.87 | 1 0 0 0 | 29.86/7.87 | 0 1 0 0 | 29.86/7.87 | 0 0 0 0 | 29.86/7.87 | 0 0 0 0 | 29.86/7.87 \ / 29.86/7.87 5 is interpreted by 29.86/7.87 / \ 29.86/7.87 | 1 0 0 0 | 29.86/7.87 | 0 1 0 0 | 29.86/7.87 | 0 0 0 1 | 29.86/7.87 | 0 0 0 0 | 29.86/7.87 \ / 29.86/7.87 29.86/7.87 Remains to prove termination of the 6-rule system 29.86/7.87 { 0 1 1 -> 0 2 1 1 , 29.86/7.87 0 1 1 -> 0 3 1 1 , 29.86/7.87 5 0 1 -> 5 0 2 1 2 4 , 29.86/7.87 0 0 2 1 -> 2 0 3 0 2 1 , 29.86/7.87 0 0 2 1 -> 2 3 0 2 0 1 , 29.86/7.87 5 4 2 1 1 -> 5 4 1 2 1 2 } 29.86/7.87 29.86/7.87 29.86/7.87 The system was filtered by the following matrix interpretation 29.86/7.87 of type E_J with J = {1,...,2} and dimension 4: 29.86/7.87 29.86/7.87 0 is interpreted by 29.86/7.87 / \ 29.86/7.87 | 1 0 0 0 | 29.86/7.87 | 0 1 0 0 | 29.86/7.87 | 0 0 0 1 | 29.86/7.87 | 0 0 0 0 | 29.86/7.87 \ / 29.86/7.87 1 is interpreted by 29.86/7.87 / \ 29.86/7.87 | 1 0 0 0 | 29.86/7.87 | 0 1 0 0 | 29.86/7.87 | 0 0 0 0 | 29.86/7.87 | 0 1 0 0 | 29.86/7.87 \ / 29.86/7.87 2 is interpreted by 29.86/7.87 / \ 29.86/7.87 | 1 0 0 0 | 29.86/7.87 | 0 1 0 0 | 29.86/7.87 | 0 0 0 0 | 29.86/7.87 | 0 0 0 0 | 29.86/7.87 \ / 29.86/7.87 3 is interpreted by 29.86/7.87 / \ 29.86/7.87 | 1 0 0 0 | 29.86/7.87 | 0 1 0 0 | 29.86/7.87 | 0 0 0 0 | 29.86/7.87 | 0 0 0 0 | 29.86/7.87 \ / 29.86/7.87 4 is interpreted by 29.86/7.87 / \ 29.86/7.87 | 1 0 0 0 | 29.86/7.87 | 0 1 0 0 | 29.86/7.87 | 0 0 0 0 | 29.86/7.87 | 0 0 0 0 | 29.86/7.87 \ / 29.86/7.87 5 is interpreted by 29.86/7.87 / \ 29.86/7.87 | 1 0 1 0 | 29.86/7.87 | 0 1 0 0 | 29.86/7.87 | 0 0 0 0 | 29.86/7.87 | 0 0 0 0 | 29.86/7.87 \ / 29.86/7.87 29.86/7.87 Remains to prove termination of the 5-rule system 29.86/7.87 { 0 1 1 -> 0 2 1 1 , 29.86/7.87 0 1 1 -> 0 3 1 1 , 29.86/7.87 0 0 2 1 -> 2 0 3 0 2 1 , 29.86/7.87 0 0 2 1 -> 2 3 0 2 0 1 , 29.86/7.87 5 4 2 1 1 -> 5 4 1 2 1 2 } 29.86/7.87 29.86/7.87 29.86/7.87 The system was filtered by the following matrix interpretation 29.86/7.87 of type E_J with J = {1,...,2} and dimension 6: 29.86/7.87 29.86/7.87 0 is interpreted by 29.86/7.87 / \ 29.86/7.87 | 1 0 0 0 0 0 | 29.86/7.87 | 0 1 0 0 0 0 | 29.86/7.87 | 0 0 0 0 0 0 | 29.86/7.87 | 0 0 0 0 0 0 | 29.86/7.87 | 0 0 0 0 0 0 | 29.86/7.87 | 0 0 0 0 0 0 | 29.86/7.87 \ / 29.86/7.87 1 is interpreted by 29.86/7.87 / \ 29.86/7.87 | 1 0 0 0 0 0 | 29.86/7.87 | 0 1 0 0 0 0 | 29.86/7.87 | 0 0 0 0 0 0 | 29.86/7.87 | 0 0 0 0 0 0 | 29.86/7.87 | 0 0 0 0 0 1 | 29.86/7.87 | 0 1 0 0 0 0 | 29.86/7.87 \ / 29.86/7.87 2 is interpreted by 29.86/7.87 / \ 29.86/7.87 | 1 0 0 0 0 0 | 29.86/7.87 | 0 1 0 0 0 0 | 29.86/7.87 | 0 0 0 0 0 0 | 29.86/7.87 | 0 0 0 0 1 0 | 29.86/7.87 | 0 0 0 0 0 0 | 29.86/7.87 | 0 0 0 0 0 0 | 29.86/7.87 \ / 29.86/7.87 3 is interpreted by 29.86/7.87 / \ 29.86/7.87 | 1 0 0 0 0 0 | 29.86/7.87 | 0 1 0 0 0 0 | 29.86/7.87 | 0 0 0 0 0 0 | 29.86/7.87 | 0 0 0 0 0 0 | 29.86/7.87 | 0 0 0 0 0 0 | 29.86/7.87 | 0 0 0 0 0 0 | 29.86/7.87 \ / 29.86/7.87 4 is interpreted by 29.86/7.87 / \ 29.86/7.87 | 1 0 0 0 0 0 | 29.86/7.87 | 0 1 0 0 0 0 | 29.86/7.87 | 0 0 0 1 0 0 | 29.86/7.87 | 0 0 0 0 0 0 | 29.86/7.87 | 0 0 0 0 0 0 | 29.86/7.87 | 0 0 0 0 0 0 | 29.86/7.87 \ / 29.86/7.87 5 is interpreted by 29.86/7.87 / \ 29.86/7.87 | 1 0 1 0 0 0 | 29.86/7.87 | 0 1 0 0 0 0 | 29.86/7.87 | 0 0 0 0 0 0 | 29.86/7.87 | 0 0 0 0 0 0 | 29.86/7.87 | 0 0 0 0 0 0 | 29.86/7.87 | 0 0 0 0 0 0 | 29.86/7.87 \ / 29.86/7.87 29.86/7.87 Remains to prove termination of the 4-rule system 29.86/7.87 { 0 1 1 -> 0 2 1 1 , 29.86/7.87 0 1 1 -> 0 3 1 1 , 29.86/7.87 0 0 2 1 -> 2 0 3 0 2 1 , 29.86/7.87 0 0 2 1 -> 2 3 0 2 0 1 } 29.86/7.87 29.86/7.87 29.86/7.87 The system was filtered by the following matrix interpretation 29.86/7.87 of type E_J with J = {1,...,2} and dimension 5: 29.86/7.87 29.86/7.87 0 is interpreted by 29.86/7.87 / \ 29.86/7.87 | 1 0 1 0 0 | 29.86/7.87 | 0 1 0 0 0 | 29.86/7.87 | 0 0 0 1 1 | 29.86/7.87 | 0 0 0 0 0 | 29.86/7.87 | 0 0 0 0 0 | 29.86/7.87 \ / 29.86/7.87 1 is interpreted by 29.86/7.87 / \ 29.86/7.87 | 1 0 0 0 0 | 29.86/7.87 | 0 1 0 0 0 | 29.86/7.87 | 0 0 0 0 0 | 29.86/7.87 | 0 0 0 0 0 | 29.86/7.87 | 0 1 0 0 0 | 29.86/7.87 \ / 29.86/7.87 2 is interpreted by 29.86/7.87 / \ 29.86/7.87 | 1 0 0 0 0 | 29.86/7.87 | 0 1 0 0 0 | 29.86/7.87 | 0 0 0 0 0 | 29.86/7.87 | 0 0 0 0 1 | 29.86/7.87 | 0 0 0 0 0 | 29.86/7.87 \ / 29.86/7.87 3 is interpreted by 29.86/7.87 / \ 29.86/7.87 | 1 0 0 0 0 | 29.86/7.87 | 0 1 0 0 0 | 29.86/7.87 | 0 0 0 0 0 | 29.86/7.87 | 0 0 0 0 0 | 29.86/7.87 | 0 0 0 0 0 | 29.86/7.87 \ / 29.86/7.87 4 is interpreted by 29.86/7.87 / \ 29.86/7.87 | 1 0 0 0 0 | 29.86/7.87 | 0 1 0 0 0 | 29.86/7.87 | 0 0 0 0 0 | 29.86/7.87 | 0 0 0 0 0 | 29.86/7.87 | 0 0 0 0 0 | 29.86/7.87 \ / 29.86/7.87 5 is interpreted by 29.86/7.87 / \ 29.86/7.87 | 1 0 0 0 0 | 29.86/7.87 | 0 1 0 0 0 | 29.86/7.87 | 0 0 0 0 0 | 29.86/7.87 | 0 0 0 0 0 | 29.86/7.87 | 0 0 0 0 0 | 29.86/7.87 \ / 29.86/7.87 29.86/7.87 Remains to prove termination of the 2-rule system 29.86/7.87 { 0 1 1 -> 0 2 1 1 , 29.86/7.87 0 1 1 -> 0 3 1 1 } 29.86/7.87 29.86/7.87 29.86/7.87 The system was filtered by the following matrix interpretation 29.86/7.87 of type E_J with J = {1,...,2} and dimension 4: 29.86/7.87 29.86/7.87 0 is interpreted by 29.86/7.87 / \ 29.86/7.87 | 1 0 1 0 | 29.86/7.87 | 0 1 0 0 | 29.86/7.87 | 0 0 0 0 | 29.86/7.87 | 0 0 0 0 | 29.86/7.87 \ / 29.86/7.87 1 is interpreted by 29.86/7.87 / \ 29.86/7.87 | 1 0 0 0 | 29.86/7.87 | 0 1 0 0 | 29.86/7.87 | 0 0 0 1 | 29.86/7.87 | 0 1 0 0 | 29.86/7.87 \ / 29.86/7.87 2 is interpreted by 29.86/7.87 / \ 29.86/7.87 | 1 0 0 0 | 29.86/7.87 | 0 1 0 0 | 29.86/7.87 | 0 0 0 0 | 29.86/7.87 | 0 0 0 0 | 29.86/7.87 \ / 29.86/7.87 3 is interpreted by 29.86/7.87 / \ 29.86/7.87 | 1 0 0 0 | 29.86/7.87 | 0 1 0 0 | 29.86/7.87 | 0 0 0 0 | 29.86/7.87 | 0 0 0 0 | 29.86/7.87 \ / 29.86/7.87 4 is interpreted by 29.86/7.87 / \ 29.86/7.87 | 1 0 0 0 | 29.86/7.87 | 0 1 0 0 | 29.86/7.87 | 0 0 0 0 | 29.86/7.87 | 0 0 0 0 | 29.86/7.87 \ / 29.86/7.87 5 is interpreted by 29.86/7.87 / \ 29.86/7.87 | 1 0 0 0 | 29.86/7.87 | 0 1 0 0 | 29.86/7.87 | 0 0 0 0 | 29.86/7.87 | 0 0 0 0 | 29.86/7.87 \ / 29.86/7.87 29.86/7.87 Remains to prove termination of the 0-rule system 29.86/7.87 { } 29.86/7.87 29.86/7.87 29.86/7.87 The system is trivially terminating. 30.13/7.92 EOF