29.44/7.78 YES 29.81/7.88 29.81/7.88 29.81/7.88 The system was filtered by the following matrix interpretation 29.81/7.88 of type E_J with J = {1,...,2} and dimension 5: 29.81/7.88 29.81/7.88 0 is interpreted by 29.81/7.88 / \ 29.81/7.88 | 1 0 1 0 0 | 29.81/7.88 | 0 1 0 0 0 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 | 0 0 1 0 0 | 29.81/7.88 | 0 1 0 0 1 | 29.81/7.88 \ / 29.81/7.88 1 is interpreted by 29.81/7.88 / \ 29.81/7.88 | 1 0 1 0 0 | 29.81/7.88 | 0 1 0 0 0 | 29.81/7.88 | 0 0 0 1 0 | 29.81/7.88 | 0 0 0 1 0 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 \ / 29.81/7.88 2 is interpreted by 29.81/7.88 / \ 29.81/7.88 | 1 0 0 0 0 | 29.81/7.88 | 0 1 0 0 0 | 29.81/7.88 | 0 0 1 0 0 | 29.81/7.88 | 0 0 0 1 1 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 \ / 29.81/7.88 3 is interpreted by 29.81/7.88 / \ 29.81/7.88 | 1 0 0 0 0 | 29.81/7.88 | 0 1 0 0 0 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 \ / 29.81/7.88 4 is interpreted by 29.81/7.88 / \ 29.81/7.88 | 1 0 1 0 0 | 29.81/7.88 | 0 1 0 0 0 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 | 0 0 1 1 0 | 29.81/7.88 \ / 29.81/7.88 5 is interpreted by 29.81/7.88 / \ 29.81/7.88 | 1 0 0 0 0 | 29.81/7.88 | 0 1 0 0 0 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 | 0 1 0 0 0 | 29.81/7.88 \ / 29.81/7.88 29.81/7.88 Remains to prove termination of the 46-rule system 29.81/7.88 { 0 1 1 2 -> 1 3 0 1 2 , 29.81/7.88 0 1 1 2 -> 1 3 1 0 2 , 29.81/7.88 0 1 1 2 -> 2 3 1 3 0 1 , 29.81/7.88 0 1 2 4 -> 0 2 3 4 1 , 29.81/7.88 0 1 2 4 -> 1 0 4 2 3 , 29.81/7.88 0 1 2 4 -> 1 2 3 0 4 , 29.81/7.88 0 1 2 4 -> 2 1 4 0 3 , 29.81/7.88 0 1 2 4 -> 1 2 3 4 0 5 , 29.81/7.88 0 1 2 4 -> 2 1 1 0 3 4 , 29.81/7.88 0 1 2 4 -> 4 1 2 2 3 0 , 29.81/7.88 0 1 2 4 -> 4 5 0 2 3 1 , 29.81/7.88 0 4 2 0 -> 0 4 2 3 0 , 29.81/7.88 0 4 2 0 -> 2 3 0 4 0 0 , 29.81/7.88 0 4 2 0 -> 3 4 0 2 3 0 , 29.81/7.88 0 4 2 0 -> 4 2 3 0 4 0 , 29.81/7.88 0 4 2 0 -> 4 3 0 0 5 2 , 29.81/7.88 0 4 2 4 -> 4 0 2 3 1 4 , 29.81/7.88 0 4 2 4 -> 4 0 4 2 0 3 , 29.81/7.88 5 1 2 0 -> 2 1 3 5 0 , 29.81/7.88 5 1 2 0 -> 3 1 0 2 5 , 29.81/7.88 5 1 2 0 -> 2 3 0 0 1 5 , 29.81/7.88 5 1 2 4 -> 3 2 5 1 4 , 29.81/7.88 5 1 2 4 -> 5 2 1 3 4 , 29.81/7.88 5 1 2 4 -> 5 5 2 1 4 , 29.81/7.88 5 1 2 4 -> 0 3 4 5 2 1 , 29.81/7.88 5 1 4 2 -> 3 4 5 2 1 , 29.81/7.88 5 1 4 2 -> 2 1 3 4 5 4 , 29.81/7.88 5 1 4 2 -> 3 3 4 2 1 5 , 29.81/7.88 5 4 1 4 -> 3 4 4 1 5 4 , 29.81/7.88 5 4 1 4 -> 4 1 3 5 0 4 , 29.81/7.88 5 4 1 4 -> 5 1 3 4 5 4 , 29.81/7.88 5 4 1 4 -> 5 1 5 3 4 4 , 29.81/7.88 5 4 2 0 -> 5 4 2 3 0 , 29.81/7.88 5 4 2 0 -> 0 1 2 3 4 5 , 29.81/7.88 5 4 2 0 -> 4 5 3 3 0 2 , 29.81/7.88 0 1 4 2 2 -> 1 2 3 4 0 2 , 29.81/7.88 5 0 1 2 4 -> 3 0 2 1 4 5 , 29.81/7.88 5 1 2 2 4 -> 5 2 2 1 4 5 , 29.81/7.88 5 1 2 4 0 -> 5 0 2 1 3 4 , 29.81/7.88 5 1 2 4 0 -> 5 0 3 2 1 4 , 29.81/7.88 5 1 3 1 4 -> 1 5 1 3 4 0 , 29.81/7.88 5 1 4 1 2 -> 2 1 5 3 4 1 , 29.81/7.88 5 4 1 1 4 -> 1 1 3 4 5 4 , 29.81/7.88 5 4 1 4 0 -> 3 4 0 4 5 1 , 29.81/7.88 5 4 3 2 0 -> 5 4 0 3 2 3 , 29.81/7.88 5 4 5 2 0 -> 5 0 5 4 4 2 } 29.81/7.88 29.81/7.88 29.81/7.88 The system was filtered by the following matrix interpretation 29.81/7.88 of type E_J with J = {1,...,2} and dimension 5: 29.81/7.88 29.81/7.88 0 is interpreted by 29.81/7.88 / \ 29.81/7.88 | 1 0 1 0 0 | 29.81/7.88 | 0 1 0 0 0 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 | 0 0 0 1 0 | 29.81/7.88 | 0 1 0 0 0 | 29.81/7.88 \ / 29.81/7.88 1 is interpreted by 29.81/7.88 / \ 29.81/7.88 | 1 0 1 0 0 | 29.81/7.88 | 0 1 0 0 0 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 \ / 29.81/7.88 2 is interpreted by 29.81/7.88 / \ 29.81/7.88 | 1 0 1 1 0 | 29.81/7.88 | 0 1 0 0 0 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 1 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 \ / 29.81/7.88 3 is interpreted by 29.81/7.88 / \ 29.81/7.88 | 1 0 0 0 0 | 29.81/7.88 | 0 1 0 0 0 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 \ / 29.81/7.88 4 is interpreted by 29.81/7.88 / \ 29.81/7.88 | 1 0 0 0 0 | 29.81/7.88 | 0 1 0 0 0 | 29.81/7.88 | 0 0 1 1 0 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 | 0 1 0 0 0 | 29.81/7.88 \ / 29.81/7.88 5 is interpreted by 29.81/7.88 / \ 29.81/7.88 | 1 0 0 0 0 | 29.81/7.88 | 0 1 0 0 0 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 | 0 1 0 0 0 | 29.81/7.88 \ / 29.81/7.88 29.81/7.88 Remains to prove termination of the 39-rule system 29.81/7.88 { 0 1 1 2 -> 1 3 0 1 2 , 29.81/7.88 0 1 1 2 -> 1 3 1 0 2 , 29.81/7.88 0 1 1 2 -> 2 3 1 3 0 1 , 29.81/7.88 0 1 2 4 -> 0 2 3 4 1 , 29.81/7.88 0 1 2 4 -> 1 0 4 2 3 , 29.81/7.88 0 1 2 4 -> 1 2 3 0 4 , 29.81/7.88 0 1 2 4 -> 2 1 4 0 3 , 29.81/7.88 0 1 2 4 -> 1 2 3 4 0 5 , 29.81/7.88 0 1 2 4 -> 2 1 1 0 3 4 , 29.81/7.88 0 1 2 4 -> 4 1 2 2 3 0 , 29.81/7.88 0 1 2 4 -> 4 5 0 2 3 1 , 29.81/7.88 0 4 2 4 -> 4 0 4 2 0 3 , 29.81/7.88 5 1 2 0 -> 2 1 3 5 0 , 29.81/7.88 5 1 2 0 -> 3 1 0 2 5 , 29.81/7.88 5 1 2 0 -> 2 3 0 0 1 5 , 29.81/7.88 5 1 2 4 -> 3 2 5 1 4 , 29.81/7.88 5 1 2 4 -> 5 2 1 3 4 , 29.81/7.88 5 1 2 4 -> 5 5 2 1 4 , 29.81/7.88 5 1 2 4 -> 0 3 4 5 2 1 , 29.81/7.88 5 1 4 2 -> 3 4 5 2 1 , 29.81/7.88 5 1 4 2 -> 2 1 3 4 5 4 , 29.81/7.88 5 1 4 2 -> 3 3 4 2 1 5 , 29.81/7.88 5 4 1 4 -> 3 4 4 1 5 4 , 29.81/7.88 5 4 1 4 -> 4 1 3 5 0 4 , 29.81/7.88 5 4 1 4 -> 5 1 3 4 5 4 , 29.81/7.88 5 4 1 4 -> 5 1 5 3 4 4 , 29.81/7.88 5 4 2 0 -> 5 4 2 3 0 , 29.81/7.88 5 4 2 0 -> 0 1 2 3 4 5 , 29.81/7.88 5 4 2 0 -> 4 5 3 3 0 2 , 29.81/7.88 0 1 4 2 2 -> 1 2 3 4 0 2 , 29.81/7.88 5 0 1 2 4 -> 3 0 2 1 4 5 , 29.81/7.88 5 1 2 4 0 -> 5 0 2 1 3 4 , 29.81/7.88 5 1 2 4 0 -> 5 0 3 2 1 4 , 29.81/7.88 5 1 3 1 4 -> 1 5 1 3 4 0 , 29.81/7.88 5 1 4 1 2 -> 2 1 5 3 4 1 , 29.81/7.88 5 4 1 1 4 -> 1 1 3 4 5 4 , 29.81/7.88 5 4 1 4 0 -> 3 4 0 4 5 1 , 29.81/7.88 5 4 3 2 0 -> 5 4 0 3 2 3 , 29.81/7.88 5 4 5 2 0 -> 5 0 5 4 4 2 } 29.81/7.88 29.81/7.88 29.81/7.88 The system was filtered by the following matrix interpretation 29.81/7.88 of type E_J with J = {1,...,2} and dimension 6: 29.81/7.88 29.81/7.88 0 is interpreted by 29.81/7.88 / \ 29.81/7.88 | 1 0 1 0 0 0 | 29.81/7.88 | 0 1 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 0 0 1 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 1 0 0 0 0 | 29.81/7.88 \ / 29.81/7.88 1 is interpreted by 29.81/7.88 / \ 29.81/7.88 | 1 0 0 0 0 0 | 29.81/7.88 | 0 1 0 0 0 0 | 29.81/7.88 | 0 0 0 1 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 \ / 29.81/7.88 2 is interpreted by 29.81/7.88 / \ 29.81/7.88 | 1 0 0 1 0 0 | 29.81/7.88 | 0 1 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 1 | 29.81/7.88 | 0 1 0 0 0 0 | 29.81/7.88 \ / 29.81/7.88 3 is interpreted by 29.81/7.88 / \ 29.81/7.88 | 1 0 1 0 0 0 | 29.81/7.88 | 0 1 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 \ / 29.81/7.88 4 is interpreted by 29.81/7.88 / \ 29.81/7.88 | 1 0 0 0 0 0 | 29.81/7.88 | 0 1 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 0 1 1 1 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 1 0 0 0 0 | 29.81/7.88 \ / 29.81/7.88 5 is interpreted by 29.81/7.88 / \ 29.81/7.88 | 1 0 0 0 0 0 | 29.81/7.88 | 0 1 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 1 0 0 0 0 | 29.81/7.88 \ / 29.81/7.88 29.81/7.88 Remains to prove termination of the 38-rule system 29.81/7.88 { 0 1 1 2 -> 1 3 0 1 2 , 29.81/7.88 0 1 1 2 -> 1 3 1 0 2 , 29.81/7.88 0 1 1 2 -> 2 3 1 3 0 1 , 29.81/7.88 0 1 2 4 -> 0 2 3 4 1 , 29.81/7.88 0 1 2 4 -> 1 0 4 2 3 , 29.81/7.88 0 1 2 4 -> 1 2 3 0 4 , 29.81/7.88 0 1 2 4 -> 2 1 4 0 3 , 29.81/7.88 0 1 2 4 -> 1 2 3 4 0 5 , 29.81/7.88 0 1 2 4 -> 2 1 1 0 3 4 , 29.81/7.88 0 1 2 4 -> 4 1 2 2 3 0 , 29.81/7.88 0 1 2 4 -> 4 5 0 2 3 1 , 29.81/7.88 0 4 2 4 -> 4 0 4 2 0 3 , 29.81/7.88 5 1 2 0 -> 2 1 3 5 0 , 29.81/7.88 5 1 2 0 -> 3 1 0 2 5 , 29.81/7.88 5 1 2 0 -> 2 3 0 0 1 5 , 29.81/7.88 5 1 2 4 -> 3 2 5 1 4 , 29.81/7.88 5 1 2 4 -> 5 2 1 3 4 , 29.81/7.88 5 1 2 4 -> 5 5 2 1 4 , 29.81/7.88 5 1 2 4 -> 0 3 4 5 2 1 , 29.81/7.88 5 1 4 2 -> 3 4 5 2 1 , 29.81/7.88 5 1 4 2 -> 2 1 3 4 5 4 , 29.81/7.88 5 1 4 2 -> 3 3 4 2 1 5 , 29.81/7.88 5 4 1 4 -> 3 4 4 1 5 4 , 29.81/7.88 5 4 1 4 -> 4 1 3 5 0 4 , 29.81/7.88 5 4 1 4 -> 5 1 3 4 5 4 , 29.81/7.88 5 4 1 4 -> 5 1 5 3 4 4 , 29.81/7.88 5 4 2 0 -> 5 4 2 3 0 , 29.81/7.88 5 4 2 0 -> 0 1 2 3 4 5 , 29.81/7.88 5 4 2 0 -> 4 5 3 3 0 2 , 29.81/7.88 5 0 1 2 4 -> 3 0 2 1 4 5 , 29.81/7.88 5 1 2 4 0 -> 5 0 2 1 3 4 , 29.81/7.88 5 1 2 4 0 -> 5 0 3 2 1 4 , 29.81/7.88 5 1 3 1 4 -> 1 5 1 3 4 0 , 29.81/7.88 5 1 4 1 2 -> 2 1 5 3 4 1 , 29.81/7.88 5 4 1 1 4 -> 1 1 3 4 5 4 , 29.81/7.88 5 4 1 4 0 -> 3 4 0 4 5 1 , 29.81/7.88 5 4 3 2 0 -> 5 4 0 3 2 3 , 29.81/7.88 5 4 5 2 0 -> 5 0 5 4 4 2 } 29.81/7.88 29.81/7.88 29.81/7.88 The system was filtered by the following matrix interpretation 29.81/7.88 of type E_J with J = {1,...,2} and dimension 5: 29.81/7.88 29.81/7.88 0 is interpreted by 29.81/7.88 / \ 29.81/7.88 | 1 0 1 0 0 | 29.81/7.88 | 0 1 0 0 0 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 | 0 1 0 0 0 | 29.81/7.88 \ / 29.81/7.88 1 is interpreted by 29.81/7.88 / \ 29.81/7.88 | 1 0 1 0 0 | 29.81/7.88 | 0 1 0 0 0 | 29.81/7.88 | 0 0 0 1 0 | 29.81/7.88 | 0 0 0 1 0 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 \ / 29.81/7.88 2 is interpreted by 29.81/7.88 / \ 29.81/7.88 | 1 0 0 0 0 | 29.81/7.88 | 0 1 0 0 0 | 29.81/7.88 | 0 0 1 0 0 | 29.81/7.88 | 0 0 0 1 1 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 \ / 29.81/7.88 3 is interpreted by 29.81/7.88 / \ 29.81/7.88 | 1 0 0 0 0 | 29.81/7.88 | 0 1 0 0 0 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 \ / 29.81/7.88 4 is interpreted by 29.81/7.88 / \ 29.81/7.88 | 1 0 1 0 0 | 29.81/7.88 | 0 1 0 0 0 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 | 0 0 0 1 0 | 29.81/7.88 | 0 1 0 0 0 | 29.81/7.88 \ / 29.81/7.88 5 is interpreted by 29.81/7.88 / \ 29.81/7.88 | 1 0 0 0 0 | 29.81/7.88 | 0 1 0 0 0 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 | 0 1 0 0 0 | 29.81/7.88 \ / 29.81/7.88 29.81/7.88 Remains to prove termination of the 29-rule system 29.81/7.88 { 0 1 1 2 -> 1 3 0 1 2 , 29.81/7.88 0 1 1 2 -> 1 3 1 0 2 , 29.81/7.88 0 1 1 2 -> 2 3 1 3 0 1 , 29.81/7.88 0 4 2 4 -> 4 0 4 2 0 3 , 29.81/7.88 5 1 2 0 -> 2 1 3 5 0 , 29.81/7.88 5 1 2 0 -> 3 1 0 2 5 , 29.81/7.88 5 1 2 0 -> 2 3 0 0 1 5 , 29.81/7.88 5 1 2 4 -> 3 2 5 1 4 , 29.81/7.88 5 1 2 4 -> 5 2 1 3 4 , 29.81/7.88 5 1 2 4 -> 5 5 2 1 4 , 29.81/7.88 5 1 2 4 -> 0 3 4 5 2 1 , 29.81/7.88 5 1 4 2 -> 3 4 5 2 1 , 29.81/7.88 5 1 4 2 -> 2 1 3 4 5 4 , 29.81/7.88 5 1 4 2 -> 3 3 4 2 1 5 , 29.81/7.88 5 4 1 4 -> 3 4 4 1 5 4 , 29.81/7.88 5 4 1 4 -> 4 1 3 5 0 4 , 29.81/7.88 5 4 1 4 -> 5 1 3 4 5 4 , 29.81/7.88 5 4 1 4 -> 5 1 5 3 4 4 , 29.81/7.88 5 4 2 0 -> 5 4 2 3 0 , 29.81/7.88 5 4 2 0 -> 0 1 2 3 4 5 , 29.81/7.88 5 4 2 0 -> 4 5 3 3 0 2 , 29.81/7.88 5 1 2 4 0 -> 5 0 2 1 3 4 , 29.81/7.88 5 1 2 4 0 -> 5 0 3 2 1 4 , 29.81/7.88 5 1 3 1 4 -> 1 5 1 3 4 0 , 29.81/7.88 5 1 4 1 2 -> 2 1 5 3 4 1 , 29.81/7.88 5 4 1 1 4 -> 1 1 3 4 5 4 , 29.81/7.88 5 4 1 4 0 -> 3 4 0 4 5 1 , 29.81/7.88 5 4 3 2 0 -> 5 4 0 3 2 3 , 29.81/7.88 5 4 5 2 0 -> 5 0 5 4 4 2 } 29.81/7.88 29.81/7.88 29.81/7.88 The system was filtered by the following matrix interpretation 29.81/7.88 of type E_J with J = {1,...,2} and dimension 5: 29.81/7.88 29.81/7.88 0 is interpreted by 29.81/7.88 / \ 29.81/7.88 | 1 0 1 0 0 | 29.81/7.88 | 0 1 0 0 0 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 | 0 0 1 0 0 | 29.81/7.88 \ / 29.81/7.88 1 is interpreted by 29.81/7.88 / \ 29.81/7.88 | 1 0 1 0 0 | 29.81/7.88 | 0 1 0 0 0 | 29.81/7.88 | 0 0 0 1 0 | 29.81/7.88 | 0 0 0 0 1 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 \ / 29.81/7.88 2 is interpreted by 29.81/7.88 / \ 29.81/7.88 | 1 0 0 0 0 | 29.81/7.88 | 0 1 0 0 0 | 29.81/7.88 | 0 0 1 0 0 | 29.81/7.88 | 0 0 0 1 0 | 29.81/7.88 | 0 1 0 1 0 | 29.81/7.88 \ / 29.81/7.88 3 is interpreted by 29.81/7.88 / \ 29.81/7.88 | 1 0 0 0 0 | 29.81/7.88 | 0 1 0 0 0 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 \ / 29.81/7.88 4 is interpreted by 29.81/7.88 / \ 29.81/7.88 | 1 0 1 0 0 | 29.81/7.88 | 0 1 0 0 0 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 | 0 0 0 1 1 | 29.81/7.88 \ / 29.81/7.88 5 is interpreted by 29.81/7.88 / \ 29.81/7.88 | 1 0 0 0 0 | 29.81/7.88 | 0 1 0 0 0 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 | 0 0 0 1 0 | 29.81/7.88 \ / 29.81/7.88 29.81/7.88 Remains to prove termination of the 26-rule system 29.81/7.88 { 0 4 2 4 -> 4 0 4 2 0 3 , 29.81/7.88 5 1 2 0 -> 2 1 3 5 0 , 29.81/7.88 5 1 2 0 -> 3 1 0 2 5 , 29.81/7.88 5 1 2 0 -> 2 3 0 0 1 5 , 29.81/7.88 5 1 2 4 -> 3 2 5 1 4 , 29.81/7.88 5 1 2 4 -> 5 2 1 3 4 , 29.81/7.88 5 1 2 4 -> 5 5 2 1 4 , 29.81/7.88 5 1 2 4 -> 0 3 4 5 2 1 , 29.81/7.88 5 1 4 2 -> 3 4 5 2 1 , 29.81/7.88 5 1 4 2 -> 2 1 3 4 5 4 , 29.81/7.88 5 1 4 2 -> 3 3 4 2 1 5 , 29.81/7.88 5 4 1 4 -> 3 4 4 1 5 4 , 29.81/7.88 5 4 1 4 -> 4 1 3 5 0 4 , 29.81/7.88 5 4 1 4 -> 5 1 3 4 5 4 , 29.81/7.88 5 4 1 4 -> 5 1 5 3 4 4 , 29.81/7.88 5 4 2 0 -> 5 4 2 3 0 , 29.81/7.88 5 4 2 0 -> 0 1 2 3 4 5 , 29.81/7.88 5 4 2 0 -> 4 5 3 3 0 2 , 29.81/7.88 5 1 2 4 0 -> 5 0 2 1 3 4 , 29.81/7.88 5 1 2 4 0 -> 5 0 3 2 1 4 , 29.81/7.88 5 1 3 1 4 -> 1 5 1 3 4 0 , 29.81/7.88 5 1 4 1 2 -> 2 1 5 3 4 1 , 29.81/7.88 5 4 1 1 4 -> 1 1 3 4 5 4 , 29.81/7.88 5 4 1 4 0 -> 3 4 0 4 5 1 , 29.81/7.88 5 4 3 2 0 -> 5 4 0 3 2 3 , 29.81/7.88 5 4 5 2 0 -> 5 0 5 4 4 2 } 29.81/7.88 29.81/7.88 29.81/7.88 The system was filtered by the following matrix interpretation 29.81/7.88 of type E_J with J = {1,...,2} and dimension 5: 29.81/7.88 29.81/7.88 0 is interpreted by 29.81/7.88 / \ 29.81/7.88 | 1 0 1 0 0 | 29.81/7.88 | 0 1 0 0 0 | 29.81/7.88 | 0 0 0 1 0 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 1 | 29.81/7.88 \ / 29.81/7.88 1 is interpreted by 29.81/7.88 / \ 29.81/7.88 | 1 0 1 1 0 | 29.81/7.88 | 0 1 0 0 0 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 \ / 29.81/7.88 2 is interpreted by 29.81/7.88 / \ 29.81/7.88 | 1 0 1 1 0 | 29.81/7.88 | 0 1 0 0 0 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 1 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 \ / 29.81/7.88 3 is interpreted by 29.81/7.88 / \ 29.81/7.88 | 1 0 0 0 0 | 29.81/7.88 | 0 1 0 0 0 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 \ / 29.81/7.88 4 is interpreted by 29.81/7.88 / \ 29.81/7.88 | 1 0 1 0 0 | 29.81/7.88 | 0 1 0 0 0 | 29.81/7.88 | 0 0 0 1 0 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 | 0 1 0 0 0 | 29.81/7.88 \ / 29.81/7.88 5 is interpreted by 29.81/7.88 / \ 29.81/7.88 | 1 0 0 0 0 | 29.81/7.88 | 0 1 0 0 0 | 29.81/7.88 | 0 0 0 1 0 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 1 | 29.81/7.88 \ / 29.81/7.88 29.81/7.88 Remains to prove termination of the 19-rule system 29.81/7.88 { 5 1 2 0 -> 2 1 3 5 0 , 29.81/7.88 5 1 2 0 -> 3 1 0 2 5 , 29.81/7.88 5 1 2 0 -> 2 3 0 0 1 5 , 29.81/7.88 5 1 4 2 -> 3 4 5 2 1 , 29.81/7.88 5 1 4 2 -> 2 1 3 4 5 4 , 29.81/7.88 5 1 4 2 -> 3 3 4 2 1 5 , 29.81/7.88 5 4 1 4 -> 3 4 4 1 5 4 , 29.81/7.88 5 4 1 4 -> 4 1 3 5 0 4 , 29.81/7.88 5 4 1 4 -> 5 1 3 4 5 4 , 29.81/7.88 5 4 1 4 -> 5 1 5 3 4 4 , 29.81/7.88 5 4 2 0 -> 5 4 2 3 0 , 29.81/7.88 5 4 2 0 -> 0 1 2 3 4 5 , 29.81/7.88 5 4 2 0 -> 4 5 3 3 0 2 , 29.81/7.88 5 1 3 1 4 -> 1 5 1 3 4 0 , 29.81/7.88 5 1 4 1 2 -> 2 1 5 3 4 1 , 29.81/7.88 5 4 1 1 4 -> 1 1 3 4 5 4 , 29.81/7.88 5 4 1 4 0 -> 3 4 0 4 5 1 , 29.81/7.88 5 4 3 2 0 -> 5 4 0 3 2 3 , 29.81/7.88 5 4 5 2 0 -> 5 0 5 4 4 2 } 29.81/7.88 29.81/7.88 29.81/7.88 The system was filtered by the following matrix interpretation 29.81/7.88 of type E_J with J = {1,...,2} and dimension 6: 29.81/7.88 29.81/7.88 0 is interpreted by 29.81/7.88 / \ 29.81/7.88 | 1 0 1 1 0 0 | 29.81/7.88 | 0 1 0 0 0 0 | 29.81/7.88 | 0 0 0 0 1 0 | 29.81/7.88 | 0 0 0 0 0 1 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 \ / 29.81/7.88 1 is interpreted by 29.81/7.88 / \ 29.81/7.88 | 1 0 0 0 0 0 | 29.81/7.88 | 0 1 0 0 0 0 | 29.81/7.88 | 0 0 0 1 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 1 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 \ / 29.81/7.88 2 is interpreted by 29.81/7.88 / \ 29.81/7.88 | 1 0 1 1 0 0 | 29.81/7.88 | 0 1 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 \ / 29.81/7.88 3 is interpreted by 29.81/7.88 / \ 29.81/7.88 | 1 0 0 0 0 0 | 29.81/7.88 | 0 1 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 1 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 \ / 29.81/7.88 4 is interpreted by 29.81/7.88 / \ 29.81/7.88 | 1 0 0 0 0 0 | 29.81/7.88 | 0 1 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 1 1 1 0 0 | 29.81/7.88 \ / 29.81/7.88 5 is interpreted by 29.81/7.88 / \ 29.81/7.88 | 1 0 1 0 0 0 | 29.81/7.88 | 0 1 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 1 | 29.81/7.88 \ / 29.81/7.88 29.81/7.88 Remains to prove termination of the 18-rule system 29.81/7.88 { 5 1 2 0 -> 2 1 3 5 0 , 29.81/7.88 5 1 2 0 -> 3 1 0 2 5 , 29.81/7.88 5 1 2 0 -> 2 3 0 0 1 5 , 29.81/7.88 5 1 4 2 -> 3 4 5 2 1 , 29.81/7.88 5 1 4 2 -> 2 1 3 4 5 4 , 29.81/7.88 5 1 4 2 -> 3 3 4 2 1 5 , 29.81/7.88 5 4 1 4 -> 3 4 4 1 5 4 , 29.81/7.88 5 4 1 4 -> 4 1 3 5 0 4 , 29.81/7.88 5 4 1 4 -> 5 1 3 4 5 4 , 29.81/7.88 5 4 1 4 -> 5 1 5 3 4 4 , 29.81/7.88 5 4 2 0 -> 5 4 2 3 0 , 29.81/7.88 5 4 2 0 -> 0 1 2 3 4 5 , 29.81/7.88 5 4 2 0 -> 4 5 3 3 0 2 , 29.81/7.88 5 1 4 1 2 -> 2 1 5 3 4 1 , 29.81/7.88 5 4 1 1 4 -> 1 1 3 4 5 4 , 29.81/7.88 5 4 1 4 0 -> 3 4 0 4 5 1 , 29.81/7.88 5 4 3 2 0 -> 5 4 0 3 2 3 , 29.81/7.88 5 4 5 2 0 -> 5 0 5 4 4 2 } 29.81/7.88 29.81/7.88 29.81/7.88 The system was filtered by the following matrix interpretation 29.81/7.88 of type E_J with J = {1,...,2} and dimension 5: 29.81/7.88 29.81/7.88 0 is interpreted by 29.81/7.88 / \ 29.81/7.88 | 1 0 1 1 0 | 29.81/7.88 | 0 1 0 0 0 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 1 | 29.81/7.88 | 0 1 0 0 0 | 29.81/7.88 \ / 29.81/7.88 1 is interpreted by 29.81/7.88 / \ 29.81/7.88 | 1 0 0 0 0 | 29.81/7.88 | 0 1 0 0 0 | 29.81/7.88 | 0 0 0 1 0 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 \ / 29.81/7.88 2 is interpreted by 29.81/7.88 / \ 29.81/7.88 | 1 0 1 1 0 | 29.81/7.88 | 0 1 0 0 0 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 1 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 \ / 29.81/7.88 3 is interpreted by 29.81/7.88 / \ 29.81/7.88 | 1 0 0 0 0 | 29.81/7.88 | 0 1 0 0 0 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 \ / 29.81/7.88 4 is interpreted by 29.81/7.88 / \ 29.81/7.88 | 1 0 0 0 0 | 29.81/7.88 | 0 1 0 0 0 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 \ / 29.81/7.88 5 is interpreted by 29.81/7.88 / \ 29.81/7.88 | 1 0 1 0 0 | 29.81/7.88 | 0 1 0 0 0 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 | 0 1 0 0 0 | 29.81/7.88 \ / 29.81/7.88 29.81/7.88 Remains to prove termination of the 16-rule system 29.81/7.88 { 5 1 2 0 -> 3 1 0 2 5 , 29.81/7.88 5 1 4 2 -> 3 4 5 2 1 , 29.81/7.88 5 1 4 2 -> 2 1 3 4 5 4 , 29.81/7.88 5 1 4 2 -> 3 3 4 2 1 5 , 29.81/7.88 5 4 1 4 -> 3 4 4 1 5 4 , 29.81/7.88 5 4 1 4 -> 4 1 3 5 0 4 , 29.81/7.88 5 4 1 4 -> 5 1 3 4 5 4 , 29.81/7.88 5 4 1 4 -> 5 1 5 3 4 4 , 29.81/7.88 5 4 2 0 -> 5 4 2 3 0 , 29.81/7.88 5 4 2 0 -> 0 1 2 3 4 5 , 29.81/7.88 5 4 2 0 -> 4 5 3 3 0 2 , 29.81/7.88 5 1 4 1 2 -> 2 1 5 3 4 1 , 29.81/7.88 5 4 1 1 4 -> 1 1 3 4 5 4 , 29.81/7.88 5 4 1 4 0 -> 3 4 0 4 5 1 , 29.81/7.88 5 4 3 2 0 -> 5 4 0 3 2 3 , 29.81/7.88 5 4 5 2 0 -> 5 0 5 4 4 2 } 29.81/7.88 29.81/7.88 29.81/7.88 The system was filtered by the following matrix interpretation 29.81/7.88 of type E_J with J = {1,...,2} and dimension 6: 29.81/7.88 29.81/7.88 0 is interpreted by 29.81/7.88 / \ 29.81/7.88 | 1 0 1 1 0 0 | 29.81/7.88 | 0 1 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 \ / 29.81/7.88 1 is interpreted by 29.81/7.88 / \ 29.81/7.88 | 1 0 0 0 0 0 | 29.81/7.88 | 0 1 0 0 0 0 | 29.81/7.88 | 0 0 0 1 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 1 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 \ / 29.81/7.88 2 is interpreted by 29.81/7.88 / \ 29.81/7.88 | 1 0 0 1 0 0 | 29.81/7.88 | 0 1 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 0 1 0 0 0 | 29.81/7.88 | 0 1 0 0 0 0 | 29.81/7.88 \ / 29.81/7.88 3 is interpreted by 29.81/7.88 / \ 29.81/7.88 | 1 0 0 0 0 0 | 29.81/7.88 | 0 1 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 \ / 29.81/7.88 4 is interpreted by 29.81/7.88 / \ 29.81/7.88 | 1 0 1 0 0 0 | 29.81/7.88 | 0 1 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 1 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 \ / 29.81/7.88 5 is interpreted by 29.81/7.88 / \ 29.81/7.88 | 1 0 1 0 0 0 | 29.81/7.88 | 0 1 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 1 0 0 0 0 | 29.81/7.88 \ / 29.81/7.88 29.81/7.88 Remains to prove termination of the 15-rule system 29.81/7.88 { 5 1 2 0 -> 3 1 0 2 5 , 29.81/7.88 5 1 4 2 -> 3 4 5 2 1 , 29.81/7.88 5 1 4 2 -> 2 1 3 4 5 4 , 29.81/7.88 5 1 4 2 -> 3 3 4 2 1 5 , 29.81/7.88 5 4 1 4 -> 3 4 4 1 5 4 , 29.81/7.88 5 4 1 4 -> 4 1 3 5 0 4 , 29.81/7.88 5 4 1 4 -> 5 1 3 4 5 4 , 29.81/7.88 5 4 1 4 -> 5 1 5 3 4 4 , 29.81/7.88 5 4 2 0 -> 5 4 2 3 0 , 29.81/7.88 5 4 2 0 -> 0 1 2 3 4 5 , 29.81/7.88 5 4 2 0 -> 4 5 3 3 0 2 , 29.81/7.88 5 4 1 1 4 -> 1 1 3 4 5 4 , 29.81/7.88 5 4 1 4 0 -> 3 4 0 4 5 1 , 29.81/7.88 5 4 3 2 0 -> 5 4 0 3 2 3 , 29.81/7.88 5 4 5 2 0 -> 5 0 5 4 4 2 } 29.81/7.88 29.81/7.88 29.81/7.88 The system was filtered by the following matrix interpretation 29.81/7.88 of type E_J with J = {1,...,2} and dimension 5: 29.81/7.88 29.81/7.88 0 is interpreted by 29.81/7.88 / \ 29.81/7.88 | 1 0 1 1 0 | 29.81/7.88 | 0 1 0 0 0 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 | 0 0 0 1 0 | 29.81/7.88 \ / 29.81/7.88 1 is interpreted by 29.81/7.88 / \ 29.81/7.88 | 1 0 0 0 0 | 29.81/7.88 | 0 1 0 0 0 | 29.81/7.88 | 0 0 0 1 0 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 \ / 29.81/7.88 2 is interpreted by 29.81/7.88 / \ 29.81/7.88 | 1 0 0 0 0 | 29.81/7.88 | 0 1 0 0 0 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 | 0 1 1 0 0 | 29.81/7.88 \ / 29.81/7.88 3 is interpreted by 29.81/7.88 / \ 29.81/7.88 | 1 0 0 0 0 | 29.81/7.88 | 0 1 0 0 0 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 \ / 29.81/7.88 4 is interpreted by 29.81/7.88 / \ 29.81/7.88 | 1 0 1 0 0 | 29.81/7.88 | 0 1 0 0 0 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 1 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 \ / 29.81/7.88 5 is interpreted by 29.81/7.88 / \ 29.81/7.88 | 1 0 1 0 0 | 29.81/7.88 | 0 1 0 0 0 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 | 0 0 1 0 0 | 29.81/7.88 \ / 29.81/7.88 29.81/7.88 Remains to prove termination of the 12-rule system 29.81/7.88 { 5 1 2 0 -> 3 1 0 2 5 , 29.81/7.88 5 4 1 4 -> 3 4 4 1 5 4 , 29.81/7.88 5 4 1 4 -> 4 1 3 5 0 4 , 29.81/7.88 5 4 1 4 -> 5 1 3 4 5 4 , 29.81/7.88 5 4 1 4 -> 5 1 5 3 4 4 , 29.81/7.88 5 4 2 0 -> 5 4 2 3 0 , 29.81/7.88 5 4 2 0 -> 0 1 2 3 4 5 , 29.81/7.88 5 4 2 0 -> 4 5 3 3 0 2 , 29.81/7.88 5 4 1 1 4 -> 1 1 3 4 5 4 , 29.81/7.88 5 4 1 4 0 -> 3 4 0 4 5 1 , 29.81/7.88 5 4 3 2 0 -> 5 4 0 3 2 3 , 29.81/7.88 5 4 5 2 0 -> 5 0 5 4 4 2 } 29.81/7.88 29.81/7.88 29.81/7.88 The system was filtered by the following matrix interpretation 29.81/7.88 of type E_J with J = {1,...,2} and dimension 5: 29.81/7.88 29.81/7.88 0 is interpreted by 29.81/7.88 / \ 29.81/7.88 | 1 0 0 0 1 | 29.81/7.88 | 0 1 0 0 0 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 | 0 0 0 1 0 | 29.81/7.88 | 0 1 1 0 0 | 29.81/7.88 \ / 29.81/7.88 1 is interpreted by 29.81/7.88 / \ 29.81/7.88 | 1 0 0 0 0 | 29.81/7.88 | 0 1 0 0 0 | 29.81/7.88 | 0 0 0 1 0 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 \ / 29.81/7.88 2 is interpreted by 29.81/7.88 / \ 29.81/7.88 | 1 0 0 0 0 | 29.81/7.88 | 0 1 0 0 0 | 29.81/7.88 | 0 1 0 0 0 | 29.81/7.88 | 0 0 0 0 1 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 \ / 29.81/7.88 3 is interpreted by 29.81/7.88 / \ 29.81/7.88 | 1 0 0 0 0 | 29.81/7.88 | 0 1 0 0 0 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 \ / 29.81/7.88 4 is interpreted by 29.81/7.88 / \ 29.81/7.88 | 1 0 0 1 0 | 29.81/7.88 | 0 1 0 0 0 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 \ / 29.81/7.88 5 is interpreted by 29.81/7.88 / \ 29.81/7.88 | 1 0 1 0 0 | 29.81/7.88 | 0 1 0 0 0 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 | 0 1 0 0 0 | 29.81/7.88 \ / 29.81/7.88 29.81/7.88 Remains to prove termination of the 8-rule system 29.81/7.88 { 5 4 1 4 -> 3 4 4 1 5 4 , 29.81/7.88 5 4 1 4 -> 4 1 3 5 0 4 , 29.81/7.88 5 4 1 4 -> 5 1 3 4 5 4 , 29.81/7.88 5 4 1 4 -> 5 1 5 3 4 4 , 29.81/7.88 5 4 1 1 4 -> 1 1 3 4 5 4 , 29.81/7.88 5 4 1 4 0 -> 3 4 0 4 5 1 , 29.81/7.88 5 4 3 2 0 -> 5 4 0 3 2 3 , 29.81/7.88 5 4 5 2 0 -> 5 0 5 4 4 2 } 29.81/7.88 29.81/7.88 29.81/7.88 The system was filtered by the following matrix interpretation 29.81/7.88 of type E_J with J = {1,...,2} and dimension 6: 29.81/7.88 29.81/7.88 0 is interpreted by 29.81/7.88 / \ 29.81/7.88 | 1 0 1 0 0 0 | 29.81/7.88 | 0 1 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 1 0 0 0 0 | 29.81/7.88 \ / 29.81/7.88 1 is interpreted by 29.81/7.88 / \ 29.81/7.88 | 1 0 1 0 0 0 | 29.81/7.88 | 0 1 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 1 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 \ / 29.81/7.88 2 is interpreted by 29.81/7.88 / \ 29.81/7.88 | 1 0 0 0 0 0 | 29.81/7.88 | 0 1 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 \ / 29.81/7.88 3 is interpreted by 29.81/7.88 / \ 29.81/7.88 | 1 0 0 0 0 0 | 29.81/7.88 | 0 1 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 \ / 29.81/7.88 4 is interpreted by 29.81/7.88 / \ 29.81/7.88 | 1 0 0 0 0 0 | 29.81/7.88 | 0 1 0 0 0 0 | 29.81/7.88 | 0 0 0 1 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 1 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 \ / 29.81/7.88 5 is interpreted by 29.81/7.88 / \ 29.81/7.88 | 1 0 1 0 0 0 | 29.81/7.88 | 0 1 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 \ / 29.81/7.88 29.81/7.88 Remains to prove termination of the 7-rule system 29.81/7.88 { 5 4 1 4 -> 3 4 4 1 5 4 , 29.81/7.88 5 4 1 4 -> 4 1 3 5 0 4 , 29.81/7.88 5 4 1 4 -> 5 1 3 4 5 4 , 29.81/7.88 5 4 1 4 -> 5 1 5 3 4 4 , 29.81/7.88 5 4 1 1 4 -> 1 1 3 4 5 4 , 29.81/7.88 5 4 3 2 0 -> 5 4 0 3 2 3 , 29.81/7.88 5 4 5 2 0 -> 5 0 5 4 4 2 } 29.81/7.88 29.81/7.88 29.81/7.88 The system was filtered by the following matrix interpretation 29.81/7.88 of type E_J with J = {1,...,2} and dimension 6: 29.81/7.88 29.81/7.88 0 is interpreted by 29.81/7.88 / \ 29.81/7.88 | 1 0 0 0 0 0 | 29.81/7.88 | 0 1 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 1 0 0 0 0 | 29.81/7.88 \ / 29.81/7.88 1 is interpreted by 29.81/7.88 / \ 29.81/7.88 | 1 0 1 0 0 0 | 29.81/7.88 | 0 1 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 \ / 29.81/7.88 2 is interpreted by 29.81/7.88 / \ 29.81/7.88 | 1 0 0 0 0 0 | 29.81/7.88 | 0 1 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 1 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 \ / 29.81/7.88 3 is interpreted by 29.81/7.88 / \ 29.81/7.88 | 1 0 0 0 0 0 | 29.81/7.88 | 0 1 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 1 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 \ / 29.81/7.88 4 is interpreted by 29.81/7.88 / \ 29.81/7.88 | 1 0 0 0 0 0 | 29.81/7.88 | 0 1 0 0 0 0 | 29.81/7.88 | 0 0 0 1 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 \ / 29.81/7.88 5 is interpreted by 29.81/7.88 / \ 29.81/7.88 | 1 0 1 0 0 0 | 29.81/7.88 | 0 1 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 \ / 29.81/7.88 29.81/7.88 Remains to prove termination of the 6-rule system 29.81/7.88 { 5 4 1 4 -> 3 4 4 1 5 4 , 29.81/7.88 5 4 1 4 -> 4 1 3 5 0 4 , 29.81/7.88 5 4 1 4 -> 5 1 3 4 5 4 , 29.81/7.88 5 4 1 4 -> 5 1 5 3 4 4 , 29.81/7.88 5 4 1 1 4 -> 1 1 3 4 5 4 , 29.81/7.88 5 4 5 2 0 -> 5 0 5 4 4 2 } 29.81/7.88 29.81/7.88 29.81/7.88 The system was filtered by the following matrix interpretation 29.81/7.88 of type E_J with J = {1,...,2} and dimension 6: 29.81/7.88 29.81/7.88 0 is interpreted by 29.81/7.88 / \ 29.81/7.88 | 1 0 0 0 0 0 | 29.81/7.88 | 0 1 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 1 0 0 0 0 | 29.81/7.88 \ / 29.81/7.88 1 is interpreted by 29.81/7.88 / \ 29.81/7.88 | 1 0 1 0 0 0 | 29.81/7.88 | 0 1 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 \ / 29.81/7.88 2 is interpreted by 29.81/7.88 / \ 29.81/7.88 | 1 0 0 0 0 0 | 29.81/7.88 | 0 1 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 1 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 \ / 29.81/7.88 3 is interpreted by 29.81/7.88 / \ 29.81/7.88 | 1 0 0 0 0 0 | 29.81/7.88 | 0 1 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 \ / 29.81/7.88 4 is interpreted by 29.81/7.88 / \ 29.81/7.88 | 1 0 0 0 0 0 | 29.81/7.88 | 0 1 0 0 0 0 | 29.81/7.88 | 0 0 0 1 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 \ / 29.81/7.88 5 is interpreted by 29.81/7.88 / \ 29.81/7.88 | 1 0 1 0 0 0 | 29.81/7.88 | 0 1 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 1 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 \ / 29.81/7.88 29.81/7.88 Remains to prove termination of the 5-rule system 29.81/7.88 { 5 4 1 4 -> 3 4 4 1 5 4 , 29.81/7.88 5 4 1 4 -> 4 1 3 5 0 4 , 29.81/7.88 5 4 1 4 -> 5 1 3 4 5 4 , 29.81/7.88 5 4 1 4 -> 5 1 5 3 4 4 , 29.81/7.88 5 4 1 1 4 -> 1 1 3 4 5 4 } 29.81/7.88 29.81/7.88 29.81/7.88 The system was filtered by the following matrix interpretation 29.81/7.88 of type E_J with J = {1,...,2} and dimension 5: 29.81/7.88 29.81/7.88 0 is interpreted by 29.81/7.88 / \ 29.81/7.88 | 1 0 0 0 0 | 29.81/7.88 | 0 1 0 0 0 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 \ / 29.81/7.88 1 is interpreted by 29.81/7.88 / \ 29.81/7.88 | 1 0 1 0 0 | 29.81/7.88 | 0 1 0 0 0 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 1 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 \ / 29.81/7.88 2 is interpreted by 29.81/7.88 / \ 29.81/7.88 | 1 0 0 0 0 | 29.81/7.88 | 0 1 0 0 0 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 \ / 29.81/7.88 3 is interpreted by 29.81/7.88 / \ 29.81/7.88 | 1 0 0 0 0 | 29.81/7.88 | 0 1 0 0 0 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 \ / 29.81/7.88 4 is interpreted by 29.81/7.88 / \ 29.81/7.88 | 1 0 0 0 0 | 29.81/7.88 | 0 1 0 0 0 | 29.81/7.88 | 0 0 0 1 0 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 | 0 1 0 0 0 | 29.81/7.88 \ / 29.81/7.88 5 is interpreted by 29.81/7.88 / \ 29.81/7.88 | 1 0 1 0 0 | 29.81/7.88 | 0 1 0 0 0 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 | 29.81/7.88 | 0 1 0 0 0 | 29.81/7.88 \ / 29.81/7.88 29.81/7.88 Remains to prove termination of the 1-rule system 29.81/7.88 { 5 4 1 1 4 -> 1 1 3 4 5 4 } 29.81/7.88 29.81/7.88 29.81/7.88 The system was filtered by the following matrix interpretation 29.81/7.88 of type E_J with J = {1,...,2} and dimension 6: 29.81/7.88 29.81/7.88 0 is interpreted by 29.81/7.88 / \ 29.81/7.88 | 1 0 0 0 0 0 | 29.81/7.88 | 0 1 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 \ / 29.81/7.88 1 is interpreted by 29.81/7.88 / \ 29.81/7.88 | 1 0 1 0 0 0 | 29.81/7.88 | 0 1 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 1 0 | 29.81/7.88 | 0 0 0 0 0 1 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 \ / 29.81/7.88 2 is interpreted by 29.81/7.88 / \ 29.81/7.88 | 1 0 0 0 0 0 | 29.81/7.88 | 0 1 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 \ / 29.81/7.88 3 is interpreted by 29.81/7.88 / \ 29.81/7.88 | 1 0 0 0 0 0 | 29.81/7.88 | 0 1 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 \ / 29.81/7.88 4 is interpreted by 29.81/7.88 / \ 29.81/7.88 | 1 0 0 0 0 0 | 29.81/7.88 | 0 1 0 0 0 0 | 29.81/7.88 | 0 0 0 1 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 1 0 0 0 0 | 29.81/7.88 \ / 29.81/7.88 5 is interpreted by 29.81/7.88 / \ 29.81/7.88 | 1 0 1 0 0 0 | 29.81/7.88 | 0 1 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 | 0 0 0 0 0 0 | 29.81/7.88 \ / 29.81/7.88 29.81/7.88 Remains to prove termination of the 0-rule system 29.81/7.88 { } 29.81/7.88 29.81/7.88 29.81/7.88 The system is trivially terminating. 29.87/7.93 EOF