13.72/3.75 YES 14.10/3.85 14.10/3.85 14.10/3.85 The system was filtered by the following matrix interpretation 14.10/3.85 of type E_J with J = {1,...,2} and dimension 4: 14.10/3.85 14.10/3.85 0 is interpreted by 14.10/3.85 / \ 14.10/3.85 | 1 0 1 0 | 14.10/3.85 | 0 1 0 0 | 14.10/3.85 | 0 0 0 1 | 14.10/3.85 | 0 1 0 0 | 14.10/3.85 \ / 14.10/3.85 1 is interpreted by 14.10/3.85 / \ 14.10/3.85 | 1 0 0 0 | 14.10/3.85 | 0 1 0 0 | 14.10/3.85 | 0 1 0 0 | 14.10/3.85 | 0 1 0 0 | 14.10/3.85 \ / 14.10/3.85 2 is interpreted by 14.10/3.85 / \ 14.10/3.85 | 1 0 0 0 | 14.10/3.85 | 0 1 0 0 | 14.10/3.85 | 0 0 0 0 | 14.10/3.85 | 0 0 0 0 | 14.10/3.85 \ / 14.10/3.85 3 is interpreted by 14.10/3.85 / \ 14.10/3.85 | 1 0 0 0 | 14.10/3.85 | 0 1 0 0 | 14.10/3.85 | 0 0 0 0 | 14.10/3.85 | 0 0 0 0 | 14.10/3.85 \ / 14.10/3.85 4 is interpreted by 14.10/3.85 / \ 14.10/3.85 | 1 0 0 0 | 14.10/3.85 | 0 1 0 0 | 14.10/3.85 | 0 1 0 0 | 14.10/3.85 | 0 1 0 0 | 14.10/3.85 \ / 14.10/3.85 5 is interpreted by 14.10/3.85 / \ 14.10/3.85 | 1 0 0 0 | 14.10/3.85 | 0 1 0 0 | 14.10/3.85 | 0 0 0 1 | 14.10/3.85 | 0 1 0 0 | 14.10/3.85 \ / 14.10/3.85 14.10/3.85 Remains to prove termination of the 11-rule system 14.10/3.85 { 0 5 4 -> 5 0 4 0 3 3 , 14.10/3.85 4 2 1 -> 4 0 2 1 , 14.10/3.85 4 2 1 -> 1 2 4 0 2 , 14.10/3.85 0 4 2 1 -> 0 4 3 0 2 1 , 14.10/3.85 1 4 2 1 -> 4 0 2 1 2 1 , 14.10/3.85 4 1 2 1 -> 4 1 0 2 1 , 14.10/3.85 4 1 2 1 -> 3 4 0 2 1 1 , 14.10/3.85 4 3 2 1 -> 0 3 4 0 2 1 , 14.10/3.85 1 4 2 1 2 -> 0 2 2 1 1 4 , 14.10/3.85 4 0 0 5 4 -> 5 0 0 4 4 5 , 14.10/3.85 4 2 5 4 1 -> 4 4 1 5 3 2 } 14.10/3.85 14.10/3.85 14.10/3.85 The system was filtered by the following matrix interpretation 14.10/3.85 of type E_J with J = {1,...,2} and dimension 4: 14.10/3.85 14.10/3.85 0 is interpreted by 14.10/3.85 / \ 14.10/3.85 | 1 0 1 0 | 14.10/3.85 | 0 1 0 0 | 14.10/3.85 | 0 0 0 0 | 14.10/3.85 | 0 0 0 0 | 14.10/3.85 \ / 14.10/3.85 1 is interpreted by 14.10/3.85 / \ 14.10/3.85 | 1 0 0 0 | 14.10/3.85 | 0 1 0 0 | 14.10/3.85 | 0 0 0 0 | 14.10/3.85 | 0 1 0 0 | 14.10/3.85 \ / 14.10/3.85 2 is interpreted by 14.10/3.85 / \ 14.10/3.85 | 1 0 0 0 | 14.10/3.85 | 0 1 0 0 | 14.10/3.85 | 0 0 0 0 | 14.10/3.85 | 0 0 0 0 | 14.10/3.85 \ / 14.10/3.85 3 is interpreted by 14.10/3.85 / \ 14.10/3.85 | 1 0 0 0 | 14.10/3.85 | 0 1 0 0 | 14.10/3.85 | 0 0 0 0 | 14.10/3.85 | 0 0 0 0 | 14.10/3.85 \ / 14.10/3.85 4 is interpreted by 14.10/3.85 / \ 14.10/3.85 | 1 0 0 0 | 14.10/3.85 | 0 1 0 0 | 14.10/3.85 | 0 0 0 0 | 14.10/3.85 | 0 1 0 0 | 14.10/3.85 \ / 14.10/3.85 5 is interpreted by 14.10/3.85 / \ 14.10/3.85 | 1 0 0 0 | 14.10/3.85 | 0 1 0 0 | 14.10/3.85 | 0 0 0 1 | 14.10/3.85 | 0 0 0 0 | 14.10/3.85 \ / 14.10/3.85 14.10/3.85 Remains to prove termination of the 9-rule system 14.10/3.85 { 4 2 1 -> 4 0 2 1 , 14.10/3.85 4 2 1 -> 1 2 4 0 2 , 14.10/3.85 0 4 2 1 -> 0 4 3 0 2 1 , 14.10/3.85 1 4 2 1 -> 4 0 2 1 2 1 , 14.10/3.85 4 1 2 1 -> 4 1 0 2 1 , 14.10/3.85 4 1 2 1 -> 3 4 0 2 1 1 , 14.10/3.85 4 3 2 1 -> 0 3 4 0 2 1 , 14.10/3.85 1 4 2 1 2 -> 0 2 2 1 1 4 , 14.10/3.85 4 2 5 4 1 -> 4 4 1 5 3 2 } 14.10/3.85 14.10/3.85 14.10/3.85 The system was filtered by the following matrix interpretation 14.10/3.85 of type E_J with J = {1,...,2} and dimension 5: 14.10/3.85 14.10/3.85 0 is interpreted by 14.10/3.85 / \ 14.10/3.85 | 1 0 1 0 0 | 14.10/3.85 | 0 1 0 0 0 | 14.10/3.85 | 0 0 0 0 0 | 14.10/3.85 | 0 0 0 0 0 | 14.10/3.85 | 0 0 0 0 0 | 14.10/3.85 \ / 14.10/3.85 1 is interpreted by 14.10/3.85 / \ 14.10/3.85 | 1 0 0 0 0 | 14.10/3.85 | 0 1 0 0 0 | 14.10/3.85 | 0 0 0 0 0 | 14.10/3.85 | 0 0 0 0 0 | 14.10/3.85 | 0 1 0 0 0 | 14.10/3.85 \ / 14.10/3.85 2 is interpreted by 14.10/3.85 / \ 14.10/3.85 | 1 0 0 0 0 | 14.10/3.85 | 0 1 0 0 0 | 14.10/3.85 | 0 0 0 0 0 | 14.10/3.85 | 0 0 0 0 1 | 14.10/3.85 | 0 0 0 0 0 | 14.10/3.85 \ / 14.10/3.85 3 is interpreted by 14.10/3.85 / \ 14.10/3.85 | 1 0 0 0 0 | 14.10/3.85 | 0 1 0 0 0 | 14.10/3.85 | 0 0 0 0 0 | 14.10/3.85 | 0 0 0 0 0 | 14.10/3.85 | 0 0 0 0 0 | 14.10/3.85 \ / 14.10/3.85 4 is interpreted by 14.10/3.85 / \ 14.10/3.85 | 1 0 0 0 0 | 14.10/3.85 | 0 1 0 0 0 | 14.10/3.85 | 0 0 0 1 0 | 14.10/3.85 | 0 0 0 0 0 | 14.10/3.85 | 0 1 0 0 0 | 14.10/3.85 \ / 14.10/3.85 5 is interpreted by 14.10/3.85 / \ 14.10/3.85 | 1 0 0 0 0 | 14.10/3.85 | 0 1 0 0 0 | 14.10/3.85 | 0 0 0 0 0 | 14.10/3.85 | 0 0 0 0 0 | 14.10/3.85 | 0 0 0 0 0 | 14.10/3.85 \ / 14.10/3.85 14.10/3.85 Remains to prove termination of the 8-rule system 14.10/3.85 { 4 2 1 -> 4 0 2 1 , 14.10/3.85 4 2 1 -> 1 2 4 0 2 , 14.10/3.85 1 4 2 1 -> 4 0 2 1 2 1 , 14.10/3.85 4 1 2 1 -> 4 1 0 2 1 , 14.10/3.85 4 1 2 1 -> 3 4 0 2 1 1 , 14.10/3.85 4 3 2 1 -> 0 3 4 0 2 1 , 14.10/3.85 1 4 2 1 2 -> 0 2 2 1 1 4 , 14.10/3.85 4 2 5 4 1 -> 4 4 1 5 3 2 } 14.10/3.85 14.10/3.85 14.10/3.85 The system was filtered by the following matrix interpretation 14.10/3.85 of type E_J with J = {1,...,2} and dimension 8: 14.10/3.85 14.10/3.85 0 is interpreted by 14.10/3.85 / \ 14.10/3.85 | 1 0 0 0 0 0 0 0 | 14.10/3.85 | 0 1 0 0 0 0 0 0 | 14.10/3.85 | 0 0 0 0 0 0 0 0 | 14.10/3.85 | 0 0 0 0 0 0 0 0 | 14.10/3.85 | 0 0 0 0 0 0 0 0 | 14.10/3.85 | 0 0 0 0 0 0 0 0 | 14.10/3.85 | 0 0 0 0 0 0 0 0 | 14.10/3.85 | 0 0 0 0 0 0 0 0 | 14.10/3.85 \ / 14.10/3.85 1 is interpreted by 14.10/3.85 / \ 14.10/3.85 | 1 0 0 0 1 0 0 0 | 14.10/3.85 | 0 1 0 0 0 0 0 0 | 14.10/3.85 | 0 0 0 0 0 0 0 0 | 14.10/3.85 | 0 1 0 0 0 0 0 0 | 14.10/3.85 | 0 0 0 0 0 0 0 0 | 14.10/3.85 | 0 0 0 0 0 0 0 0 | 14.10/3.85 | 0 0 0 0 0 0 0 1 | 14.10/3.85 | 0 0 0 0 0 0 0 0 | 14.10/3.85 \ / 14.10/3.85 2 is interpreted by 14.10/3.85 / \ 14.10/3.85 | 1 0 0 0 0 0 0 0 | 14.10/3.85 | 0 1 0 0 0 0 0 0 | 14.10/3.85 | 0 0 0 1 0 0 0 0 | 14.10/3.85 | 0 0 0 0 0 0 0 0 | 14.10/3.85 | 0 0 0 0 0 1 0 0 | 14.10/3.85 | 0 0 0 0 0 0 1 0 | 14.10/3.85 | 0 0 0 0 0 0 0 0 | 14.10/3.85 | 0 0 1 0 0 0 0 0 | 14.10/3.85 \ / 14.10/3.85 3 is interpreted by 14.10/3.85 / \ 14.10/3.85 | 1 0 0 0 0 0 0 0 | 14.10/3.85 | 0 1 0 0 0 0 0 0 | 14.10/3.85 | 0 0 0 0 0 0 0 0 | 14.10/3.85 | 0 0 0 0 0 0 0 0 | 14.10/3.85 | 0 0 0 0 0 0 0 0 | 14.10/3.85 | 0 0 0 0 0 0 0 0 | 14.10/3.85 | 0 0 0 0 0 0 0 0 | 14.10/3.85 | 0 0 0 0 0 0 0 0 | 14.10/3.85 \ / 14.10/3.85 4 is interpreted by 14.10/3.85 / \ 14.10/3.85 | 1 0 1 0 0 0 0 0 | 14.10/3.85 | 0 1 0 0 0 0 0 0 | 14.10/3.85 | 0 0 0 0 0 0 0 0 | 14.10/3.85 | 0 1 0 0 0 0 0 0 | 14.10/3.85 | 0 0 0 0 0 1 0 0 | 14.10/3.85 | 0 0 0 0 0 0 0 0 | 14.10/3.85 | 0 0 0 0 0 0 0 0 | 14.10/3.85 | 0 0 0 0 0 0 0 0 | 14.10/3.85 \ / 14.10/3.85 5 is interpreted by 14.10/3.85 / \ 14.10/3.85 | 1 0 0 0 0 0 0 0 | 14.10/3.85 | 0 1 0 0 0 0 0 0 | 14.10/3.85 | 0 0 0 0 0 0 0 0 | 14.10/3.85 | 0 0 0 0 0 0 0 0 | 14.10/3.85 | 0 0 0 0 0 0 0 0 | 14.10/3.85 | 0 0 0 0 0 0 0 0 | 14.10/3.85 | 0 0 0 0 0 0 0 0 | 14.10/3.85 | 0 0 0 0 0 0 0 0 | 14.10/3.85 \ / 14.10/3.85 14.10/3.85 Remains to prove termination of the 4-rule system 14.10/3.85 { 4 1 2 1 -> 4 1 0 2 1 , 14.10/3.85 4 1 2 1 -> 3 4 0 2 1 1 , 14.10/3.85 4 3 2 1 -> 0 3 4 0 2 1 , 14.10/3.85 4 2 5 4 1 -> 4 4 1 5 3 2 } 14.10/3.85 14.10/3.85 14.10/3.85 The system was filtered by the following matrix interpretation 14.10/3.85 of type E_J with J = {1,...,2} and dimension 5: 14.10/3.85 14.10/3.85 0 is interpreted by 14.10/3.85 / \ 14.10/3.85 | 1 0 0 0 0 | 14.10/3.85 | 0 1 0 0 0 | 14.10/3.85 | 0 0 0 0 0 | 14.10/3.85 | 0 0 0 0 0 | 14.10/3.85 | 0 0 0 0 0 | 14.10/3.85 \ / 14.10/3.85 1 is interpreted by 14.10/3.85 / \ 14.10/3.85 | 1 0 0 0 0 | 14.10/3.85 | 0 1 0 0 0 | 14.10/3.85 | 0 0 0 1 0 | 14.10/3.85 | 0 0 0 0 0 | 14.10/3.85 | 0 1 0 0 0 | 14.10/3.85 \ / 14.10/3.85 2 is interpreted by 14.10/3.85 / \ 14.10/3.85 | 1 0 0 0 0 | 14.10/3.85 | 0 1 0 0 0 | 14.10/3.85 | 0 0 0 0 0 | 14.10/3.85 | 0 0 0 0 1 | 14.10/3.85 | 0 0 0 0 0 | 14.10/3.85 \ / 14.10/3.85 3 is interpreted by 14.10/3.85 / \ 14.10/3.85 | 1 0 0 0 0 | 14.10/3.85 | 0 1 0 0 0 | 14.10/3.85 | 0 0 0 0 0 | 14.10/3.86 | 0 0 0 0 0 | 14.10/3.86 | 0 0 0 0 0 | 14.10/3.86 \ / 14.10/3.86 4 is interpreted by 14.10/3.86 / \ 14.10/3.86 | 1 0 1 0 0 | 14.10/3.86 | 0 1 0 0 0 | 14.10/3.86 | 0 0 0 0 0 | 14.10/3.86 | 0 0 0 0 0 | 14.10/3.86 | 0 0 0 0 0 | 14.10/3.86 \ / 14.10/3.86 5 is interpreted by 14.10/3.86 / \ 14.10/3.86 | 1 0 0 0 0 | 14.10/3.86 | 0 1 0 0 0 | 14.10/3.86 | 0 0 0 0 0 | 14.10/3.86 | 0 0 0 0 0 | 14.10/3.86 | 0 0 0 0 0 | 14.10/3.86 \ / 14.10/3.86 14.10/3.86 Remains to prove termination of the 2-rule system 14.10/3.86 { 4 3 2 1 -> 0 3 4 0 2 1 , 14.10/3.86 4 2 5 4 1 -> 4 4 1 5 3 2 } 14.10/3.86 14.10/3.86 14.10/3.86 The system was filtered by the following matrix interpretation 14.10/3.86 of type E_J with J = {1,...,2} and dimension 5: 14.10/3.86 14.10/3.86 0 is interpreted by 14.10/3.86 / \ 14.10/3.86 | 1 0 0 0 0 | 14.10/3.86 | 0 1 0 0 0 | 14.10/3.86 | 0 0 0 0 0 | 14.10/3.86 | 0 0 0 0 0 | 14.10/3.86 | 0 0 0 0 0 | 14.10/3.86 \ / 14.10/3.86 1 is interpreted by 14.10/3.86 / \ 14.10/3.86 | 1 0 0 0 0 | 14.10/3.86 | 0 1 0 0 0 | 14.10/3.86 | 0 0 0 0 0 | 14.10/3.86 | 0 0 0 0 0 | 14.10/3.86 | 0 1 0 0 0 | 14.10/3.86 \ / 14.10/3.86 2 is interpreted by 14.10/3.86 / \ 14.10/3.86 | 1 0 0 0 0 | 14.10/3.86 | 0 1 0 0 0 | 14.10/3.86 | 0 0 0 0 0 | 14.10/3.86 | 0 0 0 0 1 | 14.10/3.86 | 0 0 0 0 0 | 14.10/3.86 \ / 14.10/3.86 3 is interpreted by 14.10/3.86 / \ 14.10/3.86 | 1 0 0 0 0 | 14.10/3.86 | 0 1 0 0 0 | 14.10/3.86 | 0 0 0 1 0 | 14.10/3.86 | 0 0 0 0 0 | 14.10/3.86 | 0 0 0 0 0 | 14.10/3.86 \ / 14.10/3.86 4 is interpreted by 14.10/3.86 / \ 14.10/3.86 | 1 0 1 0 0 | 14.10/3.86 | 0 1 0 0 0 | 14.10/3.86 | 0 0 0 0 0 | 14.10/3.86 | 0 0 0 0 0 | 14.10/3.86 | 0 0 0 0 0 | 14.10/3.86 \ / 14.10/3.86 5 is interpreted by 14.10/3.86 / \ 14.10/3.86 | 1 0 0 0 0 | 14.10/3.86 | 0 1 0 0 0 | 14.10/3.86 | 0 0 0 0 0 | 14.10/3.86 | 0 0 0 0 0 | 14.10/3.86 | 0 0 0 0 0 | 14.10/3.86 \ / 14.10/3.86 14.10/3.86 Remains to prove termination of the 1-rule system 14.10/3.86 { 4 2 5 4 1 -> 4 4 1 5 3 2 } 14.10/3.86 14.10/3.86 14.10/3.86 The system was filtered by the following matrix interpretation 14.10/3.86 of type E_J with J = {1,...,2} and dimension 6: 14.10/3.86 14.10/3.86 0 is interpreted by 14.10/3.86 / \ 14.10/3.86 | 1 0 0 0 0 0 | 14.10/3.86 | 0 1 0 0 0 0 | 14.10/3.86 | 0 0 0 0 0 0 | 14.10/3.86 | 0 0 0 0 0 0 | 14.10/3.86 | 0 0 0 0 0 0 | 14.10/3.86 | 0 0 0 0 0 0 | 14.10/3.86 \ / 14.10/3.86 1 is interpreted by 14.10/3.86 / \ 14.10/3.86 | 1 0 0 0 0 0 | 14.10/3.86 | 0 1 0 0 0 0 | 14.10/3.86 | 0 0 0 0 0 0 | 14.10/3.86 | 0 0 0 0 0 0 | 14.10/3.86 | 0 0 0 0 0 0 | 14.10/3.86 | 0 1 0 0 0 0 | 14.10/3.86 \ / 14.10/3.86 2 is interpreted by 14.10/3.86 / \ 14.10/3.86 | 1 0 0 0 0 0 | 14.10/3.86 | 0 1 0 0 0 0 | 14.10/3.86 | 0 0 0 1 0 0 | 14.10/3.86 | 0 0 0 0 0 0 | 14.10/3.86 | 0 0 0 0 0 0 | 14.10/3.86 | 0 0 0 0 0 0 | 14.10/3.86 \ / 14.10/3.86 3 is interpreted by 14.10/3.86 / \ 14.10/3.86 | 1 0 0 0 0 0 | 14.10/3.86 | 0 1 0 0 0 0 | 14.10/3.86 | 0 0 0 0 0 0 | 14.10/3.86 | 0 0 0 0 0 0 | 14.10/3.86 | 0 0 0 0 0 0 | 14.10/3.86 | 0 0 0 0 0 0 | 14.10/3.86 \ / 14.10/3.86 4 is interpreted by 14.10/3.86 / \ 14.10/3.86 | 1 0 1 0 0 0 | 14.10/3.86 | 0 1 0 0 0 0 | 14.10/3.86 | 0 0 0 0 0 0 | 14.10/3.86 | 0 0 0 0 0 0 | 14.10/3.86 | 0 0 0 0 0 1 | 14.10/3.86 | 0 0 0 0 0 0 | 14.10/3.86 \ / 14.10/3.86 5 is interpreted by 14.10/3.86 / \ 14.10/3.86 | 1 0 0 0 0 0 | 14.10/3.86 | 0 1 0 0 0 0 | 14.10/3.86 | 0 0 0 0 0 0 | 14.10/3.86 | 0 0 0 0 1 0 | 14.10/3.86 | 0 0 0 0 0 0 | 14.10/3.86 | 0 0 0 0 0 0 | 14.10/3.86 \ / 14.10/3.86 14.10/3.86 Remains to prove termination of the 0-rule system 14.10/3.86 { } 14.10/3.86 14.10/3.86 14.10/3.86 The system is trivially terminating. 14.28/3.92 EOF