18.13/4.89 YES 18.48/4.99 18.48/4.99 18.48/4.99 The system was filtered by the following matrix interpretation 18.48/4.99 of type E_J with J = {1,...,2} and dimension 6: 18.48/4.99 18.48/4.99 0 is interpreted by 18.48/4.99 / \ 18.48/4.99 | 1 0 1 0 0 0 | 18.48/4.99 | 0 1 0 0 0 0 | 18.48/4.99 | 0 0 0 0 0 0 | 18.48/4.99 | 0 0 0 0 0 0 | 18.48/4.99 | 0 0 1 0 0 1 | 18.48/4.99 | 0 1 0 0 0 0 | 18.48/4.99 \ / 18.48/4.99 1 is interpreted by 18.48/4.99 / \ 18.48/4.99 | 1 0 0 0 0 0 | 18.48/4.99 | 0 1 0 0 0 0 | 18.48/4.99 | 0 0 0 1 1 0 | 18.48/4.99 | 0 0 0 0 0 0 | 18.48/4.99 | 0 0 0 0 0 0 | 18.48/4.99 | 0 1 0 0 0 0 | 18.48/4.99 \ / 18.48/4.99 2 is interpreted by 18.48/4.99 / \ 18.48/4.99 | 1 0 0 0 0 0 | 18.48/4.99 | 0 1 0 0 0 0 | 18.48/4.99 | 0 0 0 0 0 0 | 18.48/4.99 | 0 0 1 0 0 0 | 18.48/4.99 | 0 0 0 0 0 1 | 18.48/4.99 | 0 0 0 0 0 0 | 18.48/4.99 \ / 18.48/4.99 3 is interpreted by 18.48/4.99 / \ 18.48/4.99 | 1 0 0 0 0 0 | 18.48/4.99 | 0 1 0 0 0 0 | 18.48/4.99 | 0 0 0 0 0 0 | 18.48/4.99 | 0 0 0 0 1 0 | 18.48/4.99 | 0 0 0 0 0 0 | 18.48/4.99 | 0 0 0 0 0 0 | 18.48/4.99 \ / 18.48/4.99 4 is interpreted by 18.48/4.99 / \ 18.48/4.99 | 1 0 0 0 0 0 | 18.48/4.99 | 0 1 0 0 0 0 | 18.48/4.99 | 0 0 0 0 0 0 | 18.48/4.99 | 0 0 0 0 0 0 | 18.48/4.99 | 0 0 0 0 0 0 | 18.48/4.99 | 0 0 0 0 0 0 | 18.48/4.99 \ / 18.48/4.99 5 is interpreted by 18.48/4.99 / \ 18.48/4.99 | 1 0 0 0 0 0 | 18.48/4.99 | 0 1 0 0 0 0 | 18.48/4.99 | 0 0 0 1 0 0 | 18.48/4.99 | 0 0 0 0 0 0 | 18.48/4.99 | 0 0 0 0 1 0 | 18.48/4.99 | 0 0 0 0 1 0 | 18.48/4.99 \ / 18.48/4.99 18.48/4.99 Remains to prove termination of the 47-rule system 18.48/4.99 { 0 1 2 -> 0 3 1 2 , 18.48/4.99 0 1 2 -> 1 0 2 1 , 18.48/4.99 0 1 2 -> 2 1 4 0 , 18.48/4.99 0 1 2 -> 0 2 1 3 3 , 18.48/4.99 0 1 2 -> 0 2 4 1 3 , 18.48/4.99 0 1 2 -> 1 0 2 5 4 , 18.48/4.99 0 1 2 -> 2 1 1 0 3 , 18.48/4.99 0 1 2 -> 2 1 3 4 0 , 18.48/4.99 0 1 2 -> 2 1 4 3 0 , 18.48/4.99 0 1 2 -> 4 0 3 1 2 , 18.48/4.99 0 1 2 -> 4 1 0 3 2 , 18.48/4.99 0 1 2 -> 4 4 2 1 0 , 18.48/4.99 0 1 2 -> 0 0 4 1 2 5 , 18.48/4.99 0 1 2 -> 0 4 5 1 2 5 , 18.48/4.99 0 1 2 -> 0 5 2 3 1 4 , 18.48/4.99 0 1 2 -> 1 0 2 2 3 4 , 18.48/4.99 0 1 2 -> 1 1 4 0 3 2 , 18.48/4.99 0 1 2 -> 2 0 0 3 3 1 , 18.48/4.99 0 1 2 -> 2 0 3 4 1 5 , 18.48/4.99 0 1 2 -> 2 3 2 0 4 1 , 18.48/4.99 0 1 2 -> 2 5 3 0 3 1 , 18.48/4.99 0 1 2 -> 3 2 5 3 1 0 , 18.48/4.99 0 1 2 -> 3 4 0 5 1 2 , 18.48/4.99 0 1 2 -> 5 5 4 2 1 0 , 18.48/4.99 0 0 1 2 -> 0 0 2 4 1 , 18.48/4.99 0 0 1 2 -> 0 2 1 5 0 4 , 18.48/4.99 0 0 1 2 -> 1 0 2 3 5 0 , 18.48/4.99 0 0 1 2 -> 5 1 2 0 4 0 , 18.48/4.99 0 0 5 2 -> 5 3 0 3 0 2 , 18.48/4.99 0 1 2 2 -> 3 3 0 2 1 2 , 18.48/4.99 0 1 5 2 -> 2 5 1 0 3 , 18.48/4.99 0 1 5 2 -> 0 5 5 3 1 2 , 18.48/4.99 0 1 5 2 -> 1 3 5 0 2 2 , 18.48/4.99 0 5 2 2 -> 3 0 2 1 5 2 , 18.48/4.99 1 0 1 2 -> 0 4 1 2 1 , 18.48/4.99 1 0 1 2 -> 1 2 1 3 0 , 18.48/4.99 1 0 1 2 -> 0 3 1 4 1 2 , 18.48/4.99 1 0 1 2 -> 4 1 4 1 0 2 , 18.48/4.99 5 0 1 2 -> 0 2 1 3 5 , 18.48/4.99 5 0 1 2 -> 2 0 3 1 5 , 18.48/4.99 5 0 1 2 -> 5 3 1 0 3 2 , 18.48/4.99 5 0 1 2 -> 5 5 1 0 2 4 , 18.48/4.99 0 1 0 2 2 -> 3 0 2 1 0 2 , 18.48/4.99 0 1 2 5 2 -> 3 5 1 2 2 0 , 18.48/4.99 0 1 4 2 2 -> 0 2 4 1 5 2 , 18.48/4.99 0 1 4 2 2 -> 0 2 4 2 1 1 , 18.48/4.99 1 3 0 1 2 -> 1 3 4 1 0 2 } 18.48/4.99 18.48/4.99 18.48/4.99 The system was filtered by the following matrix interpretation 18.48/4.99 of type E_J with J = {1,...,2} and dimension 5: 18.48/4.99 18.48/4.99 0 is interpreted by 18.48/4.99 / \ 18.48/4.99 | 1 0 0 0 0 | 18.48/4.99 | 0 1 0 0 0 | 18.48/4.99 | 0 0 0 1 0 | 18.48/4.99 | 0 0 0 0 0 | 18.48/4.99 | 0 0 0 1 0 | 18.48/4.99 \ / 18.48/4.99 1 is interpreted by 18.48/4.99 / \ 18.48/4.99 | 1 0 1 0 0 | 18.48/4.99 | 0 1 0 0 0 | 18.48/4.99 | 0 0 0 0 0 | 18.48/4.99 | 0 0 0 0 1 | 18.48/4.99 | 0 0 0 0 0 | 18.48/4.99 \ / 18.48/4.99 2 is interpreted by 18.48/4.99 / \ 18.48/4.99 | 1 0 1 0 0 | 18.48/4.99 | 0 1 0 0 0 | 18.48/4.99 | 0 0 0 1 0 | 18.48/4.99 | 0 0 0 0 0 | 18.48/4.99 | 0 1 0 0 1 | 18.48/4.99 \ / 18.48/4.99 3 is interpreted by 18.48/4.99 / \ 18.48/4.99 | 1 0 0 0 0 | 18.48/4.99 | 0 1 0 0 0 | 18.48/4.99 | 0 0 0 0 0 | 18.48/4.99 | 0 0 0 0 0 | 18.48/4.99 | 0 0 0 0 0 | 18.48/4.99 \ / 18.48/4.99 4 is interpreted by 18.48/4.99 / \ 18.48/4.99 | 1 0 0 0 0 | 18.48/4.99 | 0 1 0 0 0 | 18.48/4.99 | 0 0 0 0 0 | 18.48/4.99 | 0 0 0 0 0 | 18.48/4.99 | 0 0 0 0 0 | 18.48/4.99 \ / 18.48/4.99 5 is interpreted by 18.48/4.99 / \ 18.48/4.99 | 1 0 1 0 0 | 18.48/4.99 | 0 1 0 0 0 | 18.48/4.99 | 0 0 0 0 0 | 18.48/4.99 | 0 0 0 0 0 | 18.48/4.99 | 0 0 0 0 1 | 18.48/4.99 \ / 18.48/4.99 18.48/4.99 Remains to prove termination of the 39-rule system 18.48/4.99 { 0 1 2 -> 0 3 1 2 , 18.48/4.99 0 1 2 -> 1 0 2 1 , 18.48/4.99 0 1 2 -> 2 1 4 0 , 18.48/4.99 0 1 2 -> 0 2 1 3 3 , 18.48/4.99 0 1 2 -> 0 2 4 1 3 , 18.48/4.99 0 1 2 -> 1 0 2 5 4 , 18.48/4.99 0 1 2 -> 2 1 1 0 3 , 18.48/4.99 0 1 2 -> 2 1 3 4 0 , 18.48/4.99 0 1 2 -> 2 1 4 3 0 , 18.48/4.99 0 1 2 -> 4 0 3 1 2 , 18.48/4.99 0 1 2 -> 4 1 0 3 2 , 18.48/4.99 0 1 2 -> 4 4 2 1 0 , 18.48/4.99 0 1 2 -> 0 0 4 1 2 5 , 18.48/4.99 0 1 2 -> 0 4 5 1 2 5 , 18.48/4.99 0 1 2 -> 0 5 2 3 1 4 , 18.48/4.99 0 1 2 -> 1 0 2 2 3 4 , 18.48/4.99 0 1 2 -> 1 1 4 0 3 2 , 18.48/4.99 0 1 2 -> 2 0 0 3 3 1 , 18.48/4.99 0 1 2 -> 2 0 3 4 1 5 , 18.48/4.99 0 1 2 -> 2 3 2 0 4 1 , 18.48/4.99 0 1 2 -> 2 5 3 0 3 1 , 18.48/4.99 0 1 2 -> 3 2 5 3 1 0 , 18.48/4.99 0 1 2 -> 3 4 0 5 1 2 , 18.48/4.99 0 1 2 -> 5 5 4 2 1 0 , 18.48/4.99 0 0 1 2 -> 0 0 2 4 1 , 18.48/4.99 0 0 1 2 -> 0 2 1 5 0 4 , 18.48/4.99 0 0 1 2 -> 1 0 2 3 5 0 , 18.48/4.99 0 0 1 2 -> 5 1 2 0 4 0 , 18.48/4.99 0 0 5 2 -> 5 3 0 3 0 2 , 18.48/4.99 0 1 2 2 -> 3 3 0 2 1 2 , 18.48/4.99 0 1 5 2 -> 2 5 1 0 3 , 18.48/4.99 0 1 5 2 -> 0 5 5 3 1 2 , 18.48/4.99 0 1 5 2 -> 1 3 5 0 2 2 , 18.48/4.99 0 5 2 2 -> 3 0 2 1 5 2 , 18.48/4.99 0 1 0 2 2 -> 3 0 2 1 0 2 , 18.48/4.99 0 1 2 5 2 -> 3 5 1 2 2 0 , 18.48/4.99 0 1 4 2 2 -> 0 2 4 1 5 2 , 18.48/4.99 0 1 4 2 2 -> 0 2 4 2 1 1 , 18.48/4.99 1 3 0 1 2 -> 1 3 4 1 0 2 } 18.48/4.99 18.48/4.99 18.48/4.99 The system was filtered by the following matrix interpretation 18.48/4.99 of type E_J with J = {1,...,2} and dimension 6: 18.48/4.99 18.48/4.99 0 is interpreted by 18.48/4.99 / \ 18.48/4.99 | 1 0 0 0 0 0 | 18.48/4.99 | 0 1 0 0 0 0 | 18.48/4.99 | 0 0 0 0 0 0 | 18.48/4.99 | 0 0 0 0 1 0 | 18.48/4.99 | 0 0 0 0 0 0 | 18.48/4.99 | 0 0 0 0 1 0 | 18.48/4.99 \ / 18.48/4.99 1 is interpreted by 18.48/4.99 / \ 18.48/4.99 | 1 0 1 0 0 0 | 18.48/4.99 | 0 1 0 0 0 0 | 18.48/4.99 | 0 0 0 0 0 0 | 18.48/4.99 | 0 0 0 0 0 0 | 18.48/4.99 | 0 0 0 0 0 1 | 18.48/4.99 | 0 0 0 0 0 0 | 18.48/4.99 \ / 18.48/4.99 2 is interpreted by 18.48/4.99 / \ 18.48/4.99 | 1 0 1 0 0 0 | 18.48/4.99 | 0 1 0 0 0 0 | 18.48/4.99 | 0 0 0 1 1 0 | 18.48/4.99 | 0 0 0 0 0 0 | 18.48/4.99 | 0 0 0 0 0 0 | 18.48/4.99 | 0 1 0 0 0 0 | 18.48/4.99 \ / 18.48/4.99 3 is interpreted by 18.48/4.99 / \ 18.48/4.99 | 1 0 0 0 0 0 | 18.48/4.99 | 0 1 0 0 0 0 | 18.48/4.99 | 0 0 0 1 0 0 | 18.48/4.99 | 0 0 0 0 0 0 | 18.48/4.99 | 0 0 0 0 0 0 | 18.48/4.99 | 0 0 0 0 0 0 | 18.48/4.99 \ / 18.48/4.99 4 is interpreted by 18.48/4.99 / \ 18.48/4.99 | 1 0 0 0 0 0 | 18.48/4.99 | 0 1 0 0 0 0 | 18.48/4.99 | 0 0 0 0 0 0 | 18.48/4.99 | 0 0 0 0 0 0 | 18.48/4.99 | 0 0 0 0 0 0 | 18.48/4.99 | 0 0 0 0 0 0 | 18.48/4.99 \ / 18.48/4.99 5 is interpreted by 18.48/4.99 / \ 18.48/4.99 | 1 0 1 0 0 0 | 18.48/4.99 | 0 1 0 0 0 0 | 18.48/4.99 | 0 0 0 0 0 0 | 18.48/4.99 | 0 0 0 0 0 0 | 18.48/4.99 | 0 0 0 0 0 0 | 18.48/4.99 | 0 0 0 0 0 1 | 18.48/4.99 \ / 18.48/4.99 18.48/4.99 Remains to prove termination of the 38-rule system 18.48/4.99 { 0 1 2 -> 0 3 1 2 , 18.48/4.99 0 1 2 -> 1 0 2 1 , 18.48/4.99 0 1 2 -> 2 1 4 0 , 18.48/4.99 0 1 2 -> 0 2 1 3 3 , 18.48/4.99 0 1 2 -> 0 2 4 1 3 , 18.48/4.99 0 1 2 -> 1 0 2 5 4 , 18.48/4.99 0 1 2 -> 2 1 1 0 3 , 18.48/4.99 0 1 2 -> 2 1 3 4 0 , 18.48/4.99 0 1 2 -> 2 1 4 3 0 , 18.48/4.99 0 1 2 -> 4 0 3 1 2 , 18.48/4.99 0 1 2 -> 4 1 0 3 2 , 18.48/4.99 0 1 2 -> 4 4 2 1 0 , 18.48/4.99 0 1 2 -> 0 0 4 1 2 5 , 18.48/4.99 0 1 2 -> 0 4 5 1 2 5 , 18.48/4.99 0 1 2 -> 0 5 2 3 1 4 , 18.48/4.99 0 1 2 -> 1 0 2 2 3 4 , 18.48/4.99 0 1 2 -> 1 1 4 0 3 2 , 18.48/4.99 0 1 2 -> 2 0 0 3 3 1 , 18.48/4.99 0 1 2 -> 2 0 3 4 1 5 , 18.48/4.99 0 1 2 -> 2 3 2 0 4 1 , 18.48/4.99 0 1 2 -> 2 5 3 0 3 1 , 18.48/4.99 0 1 2 -> 3 2 5 3 1 0 , 18.48/4.99 0 1 2 -> 3 4 0 5 1 2 , 18.48/4.99 0 1 2 -> 5 5 4 2 1 0 , 18.48/4.99 0 0 1 2 -> 0 0 2 4 1 , 18.48/4.99 0 0 1 2 -> 0 2 1 5 0 4 , 18.48/4.99 0 0 1 2 -> 1 0 2 3 5 0 , 18.48/4.99 0 0 1 2 -> 5 1 2 0 4 0 , 18.48/4.99 0 0 5 2 -> 5 3 0 3 0 2 , 18.48/4.99 0 1 2 2 -> 3 3 0 2 1 2 , 18.48/4.99 0 1 5 2 -> 2 5 1 0 3 , 18.48/4.99 0 1 5 2 -> 0 5 5 3 1 2 , 18.48/4.99 0 1 5 2 -> 1 3 5 0 2 2 , 18.48/4.99 0 5 2 2 -> 3 0 2 1 5 2 , 18.48/4.99 0 1 0 2 2 -> 3 0 2 1 0 2 , 18.48/4.99 0 1 2 5 2 -> 3 5 1 2 2 0 , 18.48/4.99 0 1 4 2 2 -> 0 2 4 1 5 2 , 18.48/4.99 0 1 4 2 2 -> 0 2 4 2 1 1 } 18.48/4.99 18.48/4.99 18.48/4.99 The system was filtered by the following matrix interpretation 18.48/4.99 of type E_J with J = {1,...,2} and dimension 4: 18.48/5.00 18.48/5.00 0 is interpreted by 18.48/5.00 / \ 18.48/5.00 | 1 0 1 0 | 18.48/5.00 | 0 1 0 0 | 18.48/5.00 | 0 0 0 0 | 18.48/5.00 | 0 0 1 0 | 18.48/5.00 \ / 18.48/5.00 1 is interpreted by 18.48/5.00 / \ 18.48/5.00 | 1 0 0 0 | 18.48/5.00 | 0 1 0 0 | 18.48/5.00 | 0 0 0 1 | 18.48/5.00 | 0 0 0 0 | 18.48/5.00 \ / 18.48/5.00 2 is interpreted by 18.48/5.00 / \ 18.48/5.00 | 1 0 1 1 | 18.48/5.00 | 0 1 0 0 | 18.48/5.00 | 0 0 0 0 | 18.48/5.00 | 0 1 1 0 | 18.48/5.00 \ / 18.48/5.00 3 is interpreted by 18.48/5.00 / \ 18.48/5.00 | 1 0 0 0 | 18.48/5.00 | 0 1 0 0 | 18.48/5.00 | 0 0 0 0 | 18.48/5.00 | 0 0 0 0 | 18.48/5.00 \ / 18.48/5.00 4 is interpreted by 18.48/5.00 / \ 18.48/5.00 | 1 0 0 0 | 18.48/5.00 | 0 1 0 0 | 18.48/5.00 | 0 0 0 0 | 18.48/5.00 | 0 0 0 0 | 18.48/5.00 \ / 18.48/5.00 5 is interpreted by 18.48/5.00 / \ 18.48/5.00 | 1 0 0 0 | 18.48/5.00 | 0 1 0 0 | 18.48/5.00 | 0 0 0 0 | 18.48/5.00 | 0 0 0 1 | 18.48/5.00 \ / 18.48/5.00 18.48/5.00 Remains to prove termination of the 4-rule system 18.48/5.00 { 0 1 2 -> 1 0 2 2 3 4 , 18.48/5.00 0 0 5 2 -> 5 3 0 3 0 2 , 18.48/5.00 0 1 5 2 -> 1 3 5 0 2 2 , 18.48/5.00 0 5 2 2 -> 3 0 2 1 5 2 } 18.48/5.00 18.48/5.00 18.48/5.00 The system was filtered by the following matrix interpretation 18.48/5.00 of type E_J with J = {1,...,2} and dimension 4: 18.48/5.00 18.48/5.00 0 is interpreted by 18.48/5.00 / \ 18.48/5.00 | 1 0 1 0 | 18.48/5.00 | 0 1 0 0 | 18.48/5.00 | 0 0 0 0 | 18.48/5.00 | 0 0 0 0 | 18.48/5.00 \ / 18.48/5.00 1 is interpreted by 18.48/5.00 / \ 18.48/5.00 | 1 0 0 0 | 18.48/5.00 | 0 1 0 0 | 18.48/5.00 | 0 0 0 1 | 18.48/5.00 | 0 0 0 0 | 18.48/5.00 \ / 18.48/5.00 2 is interpreted by 18.48/5.00 / \ 18.48/5.00 | 1 0 0 0 | 18.48/5.00 | 0 1 0 0 | 18.48/5.00 | 0 0 0 0 | 18.48/5.00 | 0 1 0 0 | 18.48/5.00 \ / 18.48/5.00 3 is interpreted by 18.48/5.00 / \ 18.48/5.00 | 1 0 0 0 | 18.48/5.00 | 0 1 0 0 | 18.48/5.00 | 0 0 0 0 | 18.48/5.00 | 0 0 0 0 | 18.48/5.00 \ / 18.48/5.00 4 is interpreted by 18.48/5.00 / \ 18.48/5.00 | 1 0 0 0 | 18.48/5.00 | 0 1 0 0 | 18.48/5.00 | 0 0 0 0 | 18.48/5.00 | 0 0 0 0 | 18.48/5.00 \ / 18.48/5.00 5 is interpreted by 18.48/5.00 / \ 18.48/5.00 | 1 0 0 0 | 18.48/5.00 | 0 1 0 0 | 18.48/5.00 | 0 0 0 0 | 18.48/5.00 | 0 0 0 0 | 18.48/5.00 \ / 18.48/5.00 18.48/5.00 Remains to prove termination of the 3-rule system 18.48/5.00 { 0 0 5 2 -> 5 3 0 3 0 2 , 18.48/5.00 0 1 5 2 -> 1 3 5 0 2 2 , 18.48/5.00 0 5 2 2 -> 3 0 2 1 5 2 } 18.48/5.00 18.48/5.00 18.48/5.00 The system was filtered by the following matrix interpretation 18.48/5.00 of type E_J with J = {1,...,2} and dimension 5: 18.48/5.00 18.48/5.00 0 is interpreted by 18.48/5.00 / \ 18.48/5.00 | 1 0 1 0 0 | 18.48/5.00 | 0 1 0 0 0 | 18.48/5.00 | 0 0 0 1 0 | 18.48/5.00 | 0 0 0 0 0 | 18.48/5.00 | 0 0 0 0 0 | 18.48/5.00 \ / 18.48/5.00 1 is interpreted by 18.48/5.00 / \ 18.48/5.00 | 1 0 0 0 0 | 18.48/5.00 | 0 1 0 0 0 | 18.48/5.00 | 0 0 0 0 0 | 18.48/5.00 | 0 0 0 0 0 | 18.48/5.00 | 0 0 0 0 0 | 18.48/5.00 \ / 18.48/5.00 2 is interpreted by 18.48/5.00 / \ 18.48/5.00 | 1 0 0 0 0 | 18.48/5.00 | 0 1 0 0 0 | 18.48/5.00 | 0 0 0 0 0 | 18.48/5.00 | 0 0 0 0 0 | 18.48/5.00 | 0 1 0 0 0 | 18.48/5.00 \ / 18.48/5.00 3 is interpreted by 18.48/5.00 / \ 18.48/5.00 | 1 0 0 0 0 | 18.48/5.00 | 0 1 0 0 0 | 18.48/5.00 | 0 0 0 0 0 | 18.48/5.00 | 0 0 0 0 0 | 18.48/5.00 | 0 0 0 0 0 | 18.48/5.00 \ / 18.48/5.00 4 is interpreted by 18.48/5.00 / \ 18.48/5.00 | 1 0 0 0 0 | 18.48/5.00 | 0 1 0 0 0 | 18.48/5.00 | 0 0 0 0 0 | 18.48/5.00 | 0 0 0 0 0 | 18.48/5.00 | 0 0 0 0 0 | 18.48/5.00 \ / 18.48/5.00 5 is interpreted by 18.48/5.00 / \ 18.48/5.00 | 1 0 0 0 0 | 18.48/5.00 | 0 1 0 0 0 | 18.48/5.00 | 0 0 0 0 0 | 18.48/5.00 | 0 0 0 0 1 | 18.48/5.00 | 0 0 0 0 0 | 18.48/5.00 \ / 18.48/5.00 18.48/5.00 Remains to prove termination of the 2-rule system 18.48/5.00 { 0 1 5 2 -> 1 3 5 0 2 2 , 18.48/5.00 0 5 2 2 -> 3 0 2 1 5 2 } 18.48/5.00 18.48/5.00 18.48/5.00 The system was filtered by the following matrix interpretation 18.48/5.00 of type E_J with J = {1,...,2} and dimension 5: 18.48/5.00 18.48/5.00 0 is interpreted by 18.48/5.00 / \ 18.48/5.00 | 1 0 1 0 0 | 18.48/5.00 | 0 1 0 0 0 | 18.48/5.00 | 0 0 0 0 0 | 18.48/5.00 | 0 0 0 0 0 | 18.48/5.00 | 0 0 0 0 0 | 18.48/5.00 \ / 18.48/5.00 1 is interpreted by 18.48/5.00 / \ 18.48/5.00 | 1 0 0 0 0 | 18.48/5.00 | 0 1 0 0 0 | 18.48/5.00 | 0 0 0 1 0 | 18.48/5.00 | 0 0 0 0 0 | 18.48/5.00 | 0 0 0 0 0 | 18.48/5.00 \ / 18.48/5.00 2 is interpreted by 18.48/5.00 / \ 18.48/5.00 | 1 0 0 0 0 | 18.48/5.00 | 0 1 0 0 0 | 18.48/5.00 | 0 0 0 0 0 | 18.48/5.00 | 0 0 0 0 0 | 18.48/5.00 | 0 1 0 0 0 | 18.48/5.00 \ / 18.48/5.00 3 is interpreted by 18.48/5.00 / \ 18.48/5.00 | 1 0 0 0 0 | 18.48/5.00 | 0 1 0 0 0 | 18.48/5.00 | 0 0 0 0 0 | 18.48/5.00 | 0 0 0 0 0 | 18.48/5.00 | 0 0 0 0 0 | 18.48/5.00 \ / 18.48/5.00 4 is interpreted by 18.48/5.00 / \ 18.48/5.00 | 1 0 0 0 0 | 18.48/5.00 | 0 1 0 0 0 | 18.48/5.00 | 0 0 0 0 0 | 18.48/5.00 | 0 0 0 0 0 | 18.48/5.00 | 0 0 0 0 0 | 18.48/5.00 \ / 18.48/5.00 5 is interpreted by 18.48/5.00 / \ 18.48/5.00 | 1 0 0 0 0 | 18.48/5.00 | 0 1 0 0 0 | 18.48/5.00 | 0 0 0 0 0 | 18.48/5.00 | 0 0 0 0 1 | 18.48/5.00 | 0 0 0 0 0 | 18.48/5.00 \ / 18.48/5.00 18.48/5.00 Remains to prove termination of the 1-rule system 18.48/5.00 { 0 5 2 2 -> 3 0 2 1 5 2 } 18.48/5.00 18.48/5.00 18.48/5.00 The system was filtered by the following matrix interpretation 18.48/5.00 of type E_J with J = {1,...,2} and dimension 5: 18.48/5.00 18.48/5.00 0 is interpreted by 18.48/5.00 / \ 18.48/5.00 | 1 0 1 0 0 | 18.48/5.00 | 0 1 0 0 0 | 18.48/5.00 | 0 0 0 0 0 | 18.48/5.00 | 0 0 0 0 0 | 18.48/5.00 | 0 0 0 0 0 | 18.48/5.00 \ / 18.48/5.00 1 is interpreted by 18.48/5.00 / \ 18.48/5.00 | 1 0 0 0 0 | 18.48/5.00 | 0 1 0 0 0 | 18.48/5.00 | 0 0 0 0 0 | 18.48/5.00 | 0 0 0 0 0 | 18.48/5.00 | 0 0 0 0 0 | 18.48/5.00 \ / 18.48/5.00 2 is interpreted by 18.48/5.00 / \ 18.48/5.00 | 1 0 0 0 0 | 18.48/5.00 | 0 1 0 0 0 | 18.48/5.00 | 0 0 0 0 0 | 18.48/5.00 | 0 0 0 0 1 | 18.48/5.00 | 0 1 0 0 0 | 18.48/5.00 \ / 18.48/5.00 3 is interpreted by 18.48/5.00 / \ 18.48/5.00 | 1 0 0 0 0 | 18.48/5.00 | 0 1 0 0 0 | 18.48/5.00 | 0 0 0 0 0 | 18.48/5.00 | 0 0 0 0 0 | 18.48/5.00 | 0 0 0 0 0 | 18.48/5.00 \ / 18.48/5.00 4 is interpreted by 18.48/5.00 / \ 18.48/5.00 | 1 0 0 0 0 | 18.48/5.00 | 0 1 0 0 0 | 18.48/5.00 | 0 0 0 0 0 | 18.48/5.00 | 0 0 0 0 0 | 18.48/5.00 | 0 0 0 0 0 | 18.48/5.00 \ / 18.48/5.00 5 is interpreted by 18.48/5.00 / \ 18.48/5.00 | 1 0 0 0 0 | 18.48/5.00 | 0 1 0 0 0 | 18.48/5.00 | 0 0 0 1 0 | 18.48/5.00 | 0 0 0 0 0 | 18.48/5.00 | 0 0 0 0 0 | 18.48/5.00 \ / 18.48/5.00 18.48/5.00 Remains to prove termination of the 0-rule system 18.48/5.00 { } 18.48/5.00 18.48/5.00 18.48/5.00 The system is trivially terminating. 18.76/5.06 EOF