6.90/1.99 YES 7.00/2.10 7.00/2.10 7.00/2.10 The system was filtered by the following matrix interpretation 7.00/2.10 of type E_J with J = {1,...,2} and dimension 5: 7.00/2.10 7.00/2.10 0 is interpreted by 7.00/2.10 / \ 7.00/2.10 | 1 0 1 0 0 | 7.00/2.10 | 0 1 0 0 0 | 7.00/2.10 | 0 0 0 0 0 | 7.00/2.10 | 0 1 0 0 0 | 7.00/2.10 | 0 1 0 0 0 | 7.00/2.10 \ / 7.00/2.10 1 is interpreted by 7.00/2.10 / \ 7.00/2.10 | 1 0 0 0 0 | 7.00/2.10 | 0 1 0 0 0 | 7.00/2.10 | 0 0 0 1 0 | 7.00/2.10 | 0 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 | 7.00/2.10 \ / 7.00/2.10 2 is interpreted by 7.00/2.10 / \ 7.00/2.10 | 1 0 0 0 0 | 7.00/2.10 | 0 1 0 0 0 | 7.00/2.10 | 0 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 | 7.00/2.10 \ / 7.00/2.10 3 is interpreted by 7.00/2.10 / \ 7.00/2.10 | 1 0 0 0 0 | 7.00/2.10 | 0 1 0 0 0 | 7.00/2.10 | 0 0 0 0 0 | 7.00/2.10 | 0 0 0 0 1 | 7.00/2.10 | 0 1 0 0 0 | 7.00/2.10 \ / 7.00/2.10 4 is interpreted by 7.00/2.10 / \ 7.00/2.10 | 1 0 0 0 0 | 7.00/2.10 | 0 1 0 0 0 | 7.00/2.10 | 0 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 | 7.00/2.10 | 0 1 0 0 0 | 7.00/2.10 \ / 7.00/2.10 5 is interpreted by 7.00/2.10 / \ 7.00/2.10 | 1 0 0 0 0 | 7.00/2.10 | 0 1 0 0 0 | 7.00/2.10 | 0 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 | 7.00/2.10 | 0 1 0 0 0 | 7.00/2.10 \ / 7.00/2.10 7.00/2.10 Remains to prove termination of the 43-rule system 7.00/2.10 { 0 2 1 4 -> 0 4 1 2 3 , 7.00/2.10 0 2 1 4 -> 0 4 1 3 2 , 7.00/2.10 0 2 1 4 -> 2 0 4 1 4 , 7.00/2.10 0 2 1 4 -> 5 5 0 4 1 2 , 7.00/2.10 0 2 1 5 -> 5 0 4 1 2 , 7.00/2.10 0 2 2 4 -> 0 4 2 2 5 , 7.00/2.10 0 2 2 4 -> 0 4 2 5 2 , 7.00/2.10 3 4 0 2 -> 3 0 4 5 2 , 7.00/2.10 3 4 0 2 -> 3 5 0 4 2 , 7.00/2.10 0 0 1 4 5 -> 0 4 1 0 3 5 , 7.00/2.10 0 1 2 3 4 -> 2 0 4 1 0 3 , 7.00/2.10 0 1 4 0 2 -> 0 4 1 5 0 2 , 7.00/2.10 0 1 4 1 5 -> 2 5 0 4 1 1 , 7.00/2.10 0 1 4 3 4 -> 0 4 0 3 1 4 , 7.00/2.10 0 1 4 3 4 -> 3 0 4 1 5 4 , 7.00/2.10 0 1 4 3 5 -> 5 4 5 0 3 1 , 7.00/2.10 0 1 5 0 2 -> 0 0 4 1 2 5 , 7.00/2.10 0 1 5 1 4 -> 4 5 0 3 1 1 , 7.00/2.10 0 2 1 4 4 -> 0 4 1 2 4 3 , 7.00/2.10 0 2 1 4 5 -> 0 4 1 2 5 2 , 7.00/2.10 0 2 1 5 4 -> 5 0 2 0 4 1 , 7.00/2.10 0 2 4 1 5 -> 5 0 4 1 5 2 , 7.00/2.10 0 2 4 3 5 -> 0 4 5 2 5 3 , 7.00/2.10 0 2 5 1 4 -> 0 0 5 4 1 2 , 7.00/2.10 3 0 1 3 2 -> 0 3 1 0 3 2 , 7.00/2.10 3 0 2 1 4 -> 4 0 4 1 3 2 , 7.00/2.10 3 0 2 1 5 -> 5 3 2 0 4 1 , 7.00/2.10 3 0 4 0 2 -> 0 3 4 0 4 2 , 7.00/2.10 3 0 4 0 2 -> 0 4 1 2 0 3 , 7.00/2.10 3 0 5 1 4 -> 3 0 4 1 1 5 , 7.00/2.10 3 0 5 1 5 -> 0 4 1 3 5 5 , 7.00/2.10 3 2 4 1 2 -> 3 1 2 2 5 4 , 7.00/2.10 3 2 4 1 5 -> 3 1 4 5 2 5 , 7.00/2.10 3 4 0 1 2 -> 0 4 2 0 3 1 , 7.00/2.10 3 4 0 1 4 -> 0 4 1 5 3 4 , 7.00/2.10 3 4 0 1 5 -> 0 4 1 5 5 3 , 7.00/2.10 3 4 0 2 4 -> 0 3 4 0 4 2 , 7.00/2.10 3 4 1 2 4 -> 0 4 1 2 4 3 , 7.00/2.10 3 4 1 3 5 -> 4 3 0 3 1 5 , 7.00/2.10 3 4 3 0 2 -> 3 3 0 4 1 2 , 7.00/2.10 3 4 5 0 2 -> 0 3 0 4 2 5 , 7.00/2.10 3 5 0 2 2 -> 0 3 2 5 2 5 , 7.00/2.10 3 5 2 1 4 -> 3 5 1 0 4 2 } 7.00/2.10 7.00/2.10 7.00/2.10 The system was filtered by the following matrix interpretation 7.00/2.10 of type E_J with J = {1,...,2} and dimension 5: 7.00/2.10 7.00/2.10 0 is interpreted by 7.00/2.10 / \ 7.00/2.10 | 1 0 1 0 0 | 7.00/2.10 | 0 1 0 0 0 | 7.00/2.10 | 0 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 | 7.00/2.10 | 0 1 0 0 0 | 7.00/2.10 \ / 7.00/2.10 1 is interpreted by 7.00/2.10 / \ 7.00/2.10 | 1 0 0 0 0 | 7.00/2.10 | 0 1 0 0 0 | 7.00/2.10 | 0 0 0 0 0 | 7.00/2.10 | 0 0 0 0 1 | 7.00/2.10 | 0 0 0 0 0 | 7.00/2.10 \ / 7.00/2.10 2 is interpreted by 7.00/2.10 / \ 7.00/2.10 | 1 0 0 0 0 | 7.00/2.10 | 0 1 0 0 0 | 7.00/2.10 | 0 0 0 1 0 | 7.00/2.10 | 0 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 | 7.00/2.10 \ / 7.00/2.10 3 is interpreted by 7.00/2.10 / \ 7.00/2.10 | 1 0 0 0 0 | 7.00/2.10 | 0 1 0 0 0 | 7.00/2.10 | 0 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 | 7.00/2.10 | 0 1 0 0 0 | 7.00/2.10 \ / 7.00/2.10 4 is interpreted by 7.00/2.10 / \ 7.00/2.10 | 1 0 0 0 0 | 7.00/2.10 | 0 1 0 0 0 | 7.00/2.10 | 0 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 | 7.00/2.10 | 0 1 0 0 0 | 7.00/2.10 \ / 7.00/2.10 5 is interpreted by 7.00/2.10 / \ 7.00/2.10 | 1 0 0 0 0 | 7.00/2.10 | 0 1 0 0 0 | 7.00/2.10 | 0 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 | 7.00/2.10 \ / 7.00/2.10 7.00/2.10 Remains to prove termination of the 36-rule system 7.00/2.10 { 0 2 1 5 -> 5 0 4 1 2 , 7.00/2.10 0 2 2 4 -> 0 4 2 2 5 , 7.00/2.10 0 2 2 4 -> 0 4 2 5 2 , 7.00/2.10 3 4 0 2 -> 3 0 4 5 2 , 7.00/2.10 3 4 0 2 -> 3 5 0 4 2 , 7.00/2.10 0 0 1 4 5 -> 0 4 1 0 3 5 , 7.00/2.10 0 1 2 3 4 -> 2 0 4 1 0 3 , 7.00/2.10 0 1 4 0 2 -> 0 4 1 5 0 2 , 7.00/2.10 0 1 4 1 5 -> 2 5 0 4 1 1 , 7.00/2.10 0 1 4 3 4 -> 0 4 0 3 1 4 , 7.00/2.10 0 1 4 3 4 -> 3 0 4 1 5 4 , 7.00/2.10 0 1 4 3 5 -> 5 4 5 0 3 1 , 7.00/2.10 0 1 5 0 2 -> 0 0 4 1 2 5 , 7.00/2.10 0 1 5 1 4 -> 4 5 0 3 1 1 , 7.00/2.10 0 2 1 5 4 -> 5 0 2 0 4 1 , 7.00/2.10 0 2 4 1 5 -> 5 0 4 1 5 2 , 7.00/2.10 0 2 4 3 5 -> 0 4 5 2 5 3 , 7.00/2.10 0 2 5 1 4 -> 0 0 5 4 1 2 , 7.00/2.10 3 0 1 3 2 -> 0 3 1 0 3 2 , 7.00/2.10 3 0 2 1 5 -> 5 3 2 0 4 1 , 7.00/2.10 3 0 4 0 2 -> 0 3 4 0 4 2 , 7.00/2.10 3 0 4 0 2 -> 0 4 1 2 0 3 , 7.00/2.10 3 0 5 1 4 -> 3 0 4 1 1 5 , 7.00/2.10 3 0 5 1 5 -> 0 4 1 3 5 5 , 7.00/2.10 3 2 4 1 2 -> 3 1 2 2 5 4 , 7.00/2.10 3 2 4 1 5 -> 3 1 4 5 2 5 , 7.00/2.10 3 4 0 1 2 -> 0 4 2 0 3 1 , 7.00/2.10 3 4 0 1 4 -> 0 4 1 5 3 4 , 7.00/2.10 3 4 0 1 5 -> 0 4 1 5 5 3 , 7.00/2.10 3 4 0 2 4 -> 0 3 4 0 4 2 , 7.00/2.10 3 4 1 2 4 -> 0 4 1 2 4 3 , 7.00/2.10 3 4 1 3 5 -> 4 3 0 3 1 5 , 7.00/2.10 3 4 3 0 2 -> 3 3 0 4 1 2 , 7.00/2.10 3 4 5 0 2 -> 0 3 0 4 2 5 , 7.00/2.10 3 5 0 2 2 -> 0 3 2 5 2 5 , 7.00/2.10 3 5 2 1 4 -> 3 5 1 0 4 2 } 7.00/2.10 7.00/2.10 7.00/2.10 The system was filtered by the following matrix interpretation 7.00/2.10 of type E_J with J = {1,...,2} and dimension 6: 7.00/2.10 7.00/2.10 0 is interpreted by 7.00/2.10 / \ 7.00/2.10 | 1 0 1 0 0 0 | 7.00/2.10 | 0 1 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 0 | 7.00/2.10 | 0 0 1 0 0 0 | 7.00/2.10 \ / 7.00/2.10 1 is interpreted by 7.00/2.10 / \ 7.00/2.10 | 1 0 0 0 0 0 | 7.00/2.10 | 0 1 0 0 0 0 | 7.00/2.10 | 0 0 0 1 0 0 | 7.00/2.10 | 0 0 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 1 | 7.00/2.10 | 0 0 0 0 0 0 | 7.00/2.10 \ / 7.00/2.10 2 is interpreted by 7.00/2.10 / \ 7.00/2.10 | 1 0 0 0 0 0 | 7.00/2.10 | 0 1 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 0 | 7.00/2.10 \ / 7.00/2.10 3 is interpreted by 7.00/2.10 / \ 7.00/2.10 | 1 0 0 0 0 0 | 7.00/2.10 | 0 1 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 1 | 7.00/2.10 \ / 7.00/2.10 4 is interpreted by 7.00/2.10 / \ 7.00/2.10 | 1 0 0 0 0 0 | 7.00/2.10 | 0 1 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 0 | 7.00/2.10 | 0 1 0 0 0 0 | 7.00/2.10 \ / 7.00/2.10 5 is interpreted by 7.00/2.10 / \ 7.00/2.10 | 1 0 0 0 0 0 | 7.00/2.10 | 0 1 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 0 | 7.00/2.10 | 0 0 0 0 1 0 | 7.00/2.10 | 0 0 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 0 | 7.00/2.10 \ / 7.00/2.10 7.00/2.10 Remains to prove termination of the 35-rule system 7.00/2.10 { 0 2 1 5 -> 5 0 4 1 2 , 7.00/2.10 0 2 2 4 -> 0 4 2 2 5 , 7.00/2.10 0 2 2 4 -> 0 4 2 5 2 , 7.00/2.10 3 4 0 2 -> 3 0 4 5 2 , 7.00/2.10 3 4 0 2 -> 3 5 0 4 2 , 7.00/2.10 0 0 1 4 5 -> 0 4 1 0 3 5 , 7.00/2.10 0 1 2 3 4 -> 2 0 4 1 0 3 , 7.00/2.10 0 1 4 0 2 -> 0 4 1 5 0 2 , 7.00/2.10 0 1 4 1 5 -> 2 5 0 4 1 1 , 7.00/2.10 0 1 4 3 4 -> 0 4 0 3 1 4 , 7.00/2.10 0 1 4 3 4 -> 3 0 4 1 5 4 , 7.00/2.10 0 1 4 3 5 -> 5 4 5 0 3 1 , 7.00/2.10 0 1 5 0 2 -> 0 0 4 1 2 5 , 7.00/2.10 0 2 1 5 4 -> 5 0 2 0 4 1 , 7.00/2.10 0 2 4 1 5 -> 5 0 4 1 5 2 , 7.00/2.10 0 2 4 3 5 -> 0 4 5 2 5 3 , 7.00/2.10 0 2 5 1 4 -> 0 0 5 4 1 2 , 7.00/2.10 3 0 1 3 2 -> 0 3 1 0 3 2 , 7.00/2.10 3 0 2 1 5 -> 5 3 2 0 4 1 , 7.00/2.10 3 0 4 0 2 -> 0 3 4 0 4 2 , 7.00/2.10 3 0 4 0 2 -> 0 4 1 2 0 3 , 7.00/2.10 3 0 5 1 4 -> 3 0 4 1 1 5 , 7.00/2.10 3 0 5 1 5 -> 0 4 1 3 5 5 , 7.00/2.10 3 2 4 1 2 -> 3 1 2 2 5 4 , 7.00/2.10 3 2 4 1 5 -> 3 1 4 5 2 5 , 7.00/2.10 3 4 0 1 2 -> 0 4 2 0 3 1 , 7.00/2.10 3 4 0 1 4 -> 0 4 1 5 3 4 , 7.00/2.10 3 4 0 1 5 -> 0 4 1 5 5 3 , 7.00/2.10 3 4 0 2 4 -> 0 3 4 0 4 2 , 7.00/2.10 3 4 1 2 4 -> 0 4 1 2 4 3 , 7.00/2.10 3 4 1 3 5 -> 4 3 0 3 1 5 , 7.00/2.10 3 4 3 0 2 -> 3 3 0 4 1 2 , 7.00/2.10 3 4 5 0 2 -> 0 3 0 4 2 5 , 7.00/2.10 3 5 0 2 2 -> 0 3 2 5 2 5 , 7.00/2.10 3 5 2 1 4 -> 3 5 1 0 4 2 } 7.00/2.10 7.00/2.10 7.00/2.10 The system was filtered by the following matrix interpretation 7.00/2.10 of type E_J with J = {1,...,2} and dimension 5: 7.00/2.10 7.00/2.10 0 is interpreted by 7.00/2.10 / \ 7.00/2.10 | 1 0 1 0 0 | 7.00/2.10 | 0 1 0 0 0 | 7.00/2.10 | 0 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 | 7.00/2.10 \ / 7.00/2.10 1 is interpreted by 7.00/2.10 / \ 7.00/2.10 | 1 0 0 0 0 | 7.00/2.10 | 0 1 0 0 0 | 7.00/2.10 | 0 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 | 7.00/2.10 \ / 7.00/2.10 2 is interpreted by 7.00/2.10 / \ 7.00/2.10 | 1 0 0 0 0 | 7.00/2.10 | 0 1 0 0 0 | 7.00/2.10 | 0 0 0 1 0 | 7.00/2.10 | 0 0 0 0 1 | 7.00/2.10 | 0 0 0 0 0 | 7.00/2.10 \ / 7.00/2.10 3 is interpreted by 7.00/2.10 / \ 7.00/2.10 | 1 0 0 0 0 | 7.00/2.10 | 0 1 0 0 0 | 7.00/2.10 | 0 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 | 7.00/2.10 | 0 0 0 0 1 | 7.00/2.10 \ / 7.00/2.10 4 is interpreted by 7.00/2.10 / \ 7.00/2.10 | 1 0 0 0 0 | 7.00/2.10 | 0 1 0 0 0 | 7.00/2.10 | 0 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 | 7.00/2.10 | 0 1 0 0 0 | 7.00/2.10 \ / 7.00/2.10 5 is interpreted by 7.00/2.10 / \ 7.00/2.10 | 1 0 0 0 0 | 7.00/2.10 | 0 1 0 0 0 | 7.00/2.10 | 0 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 | 7.00/2.10 \ / 7.00/2.10 7.00/2.10 Remains to prove termination of the 33-rule system 7.00/2.10 { 0 2 1 5 -> 5 0 4 1 2 , 7.00/2.10 3 4 0 2 -> 3 0 4 5 2 , 7.00/2.10 3 4 0 2 -> 3 5 0 4 2 , 7.00/2.10 0 0 1 4 5 -> 0 4 1 0 3 5 , 7.00/2.10 0 1 2 3 4 -> 2 0 4 1 0 3 , 7.00/2.10 0 1 4 0 2 -> 0 4 1 5 0 2 , 7.00/2.10 0 1 4 1 5 -> 2 5 0 4 1 1 , 7.00/2.10 0 1 4 3 4 -> 0 4 0 3 1 4 , 7.00/2.10 0 1 4 3 4 -> 3 0 4 1 5 4 , 7.00/2.10 0 1 4 3 5 -> 5 4 5 0 3 1 , 7.00/2.10 0 1 5 0 2 -> 0 0 4 1 2 5 , 7.00/2.10 0 2 1 5 4 -> 5 0 2 0 4 1 , 7.00/2.10 0 2 4 1 5 -> 5 0 4 1 5 2 , 7.00/2.10 0 2 4 3 5 -> 0 4 5 2 5 3 , 7.00/2.10 0 2 5 1 4 -> 0 0 5 4 1 2 , 7.00/2.10 3 0 1 3 2 -> 0 3 1 0 3 2 , 7.00/2.10 3 0 2 1 5 -> 5 3 2 0 4 1 , 7.00/2.10 3 0 4 0 2 -> 0 3 4 0 4 2 , 7.00/2.10 3 0 4 0 2 -> 0 4 1 2 0 3 , 7.00/2.10 3 0 5 1 4 -> 3 0 4 1 1 5 , 7.00/2.10 3 0 5 1 5 -> 0 4 1 3 5 5 , 7.00/2.10 3 2 4 1 2 -> 3 1 2 2 5 4 , 7.00/2.10 3 2 4 1 5 -> 3 1 4 5 2 5 , 7.00/2.10 3 4 0 1 2 -> 0 4 2 0 3 1 , 7.00/2.10 3 4 0 1 4 -> 0 4 1 5 3 4 , 7.00/2.10 3 4 0 1 5 -> 0 4 1 5 5 3 , 7.00/2.10 3 4 0 2 4 -> 0 3 4 0 4 2 , 7.00/2.10 3 4 1 2 4 -> 0 4 1 2 4 3 , 7.00/2.10 3 4 1 3 5 -> 4 3 0 3 1 5 , 7.00/2.10 3 4 3 0 2 -> 3 3 0 4 1 2 , 7.00/2.10 3 4 5 0 2 -> 0 3 0 4 2 5 , 7.00/2.10 3 5 0 2 2 -> 0 3 2 5 2 5 , 7.00/2.10 3 5 2 1 4 -> 3 5 1 0 4 2 } 7.00/2.10 7.00/2.10 7.00/2.10 The system was filtered by the following matrix interpretation 7.00/2.10 of type E_J with J = {1,...,2} and dimension 6: 7.00/2.10 7.00/2.10 0 is interpreted by 7.00/2.10 / \ 7.00/2.10 | 1 0 1 0 0 0 | 7.00/2.10 | 0 1 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 0 | 7.00/2.10 \ / 7.00/2.10 1 is interpreted by 7.00/2.10 / \ 7.00/2.10 | 1 0 0 0 0 0 | 7.00/2.10 | 0 1 0 0 0 0 | 7.00/2.10 | 0 0 0 1 0 0 | 7.00/2.10 | 0 0 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 0 | 7.00/2.10 \ / 7.00/2.10 2 is interpreted by 7.00/2.10 / \ 7.00/2.10 | 1 0 0 0 0 0 | 7.00/2.10 | 0 1 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 0 | 7.00/2.10 | 0 0 0 0 1 0 | 7.00/2.10 | 0 0 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 0 | 7.00/2.10 \ / 7.00/2.10 3 is interpreted by 7.00/2.10 / \ 7.00/2.10 | 1 0 0 0 0 0 | 7.00/2.10 | 0 1 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 1 | 7.00/2.10 | 0 0 0 0 0 1 | 7.00/2.10 \ / 7.00/2.10 4 is interpreted by 7.00/2.10 / \ 7.00/2.10 | 1 0 0 0 0 0 | 7.00/2.10 | 0 1 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 0 | 7.00/2.10 | 0 1 0 0 0 0 | 7.00/2.10 \ / 7.00/2.10 5 is interpreted by 7.00/2.10 / \ 7.00/2.10 | 1 0 0 0 0 0 | 7.00/2.10 | 0 1 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 0 | 7.00/2.10 \ / 7.00/2.10 7.00/2.10 Remains to prove termination of the 32-rule system 7.00/2.10 { 0 2 1 5 -> 5 0 4 1 2 , 7.00/2.10 3 4 0 2 -> 3 0 4 5 2 , 7.00/2.10 3 4 0 2 -> 3 5 0 4 2 , 7.00/2.10 0 0 1 4 5 -> 0 4 1 0 3 5 , 7.00/2.10 0 1 4 0 2 -> 0 4 1 5 0 2 , 7.00/2.10 0 1 4 1 5 -> 2 5 0 4 1 1 , 7.00/2.10 0 1 4 3 4 -> 0 4 0 3 1 4 , 7.00/2.10 0 1 4 3 4 -> 3 0 4 1 5 4 , 7.00/2.10 0 1 4 3 5 -> 5 4 5 0 3 1 , 7.00/2.10 0 1 5 0 2 -> 0 0 4 1 2 5 , 7.00/2.10 0 2 1 5 4 -> 5 0 2 0 4 1 , 7.00/2.10 0 2 4 1 5 -> 5 0 4 1 5 2 , 7.00/2.10 0 2 4 3 5 -> 0 4 5 2 5 3 , 7.00/2.10 0 2 5 1 4 -> 0 0 5 4 1 2 , 7.00/2.10 3 0 1 3 2 -> 0 3 1 0 3 2 , 7.00/2.10 3 0 2 1 5 -> 5 3 2 0 4 1 , 7.00/2.10 3 0 4 0 2 -> 0 3 4 0 4 2 , 7.00/2.10 3 0 4 0 2 -> 0 4 1 2 0 3 , 7.00/2.10 3 0 5 1 4 -> 3 0 4 1 1 5 , 7.00/2.10 3 0 5 1 5 -> 0 4 1 3 5 5 , 7.00/2.10 3 2 4 1 2 -> 3 1 2 2 5 4 , 7.00/2.10 3 2 4 1 5 -> 3 1 4 5 2 5 , 7.00/2.10 3 4 0 1 2 -> 0 4 2 0 3 1 , 7.00/2.10 3 4 0 1 4 -> 0 4 1 5 3 4 , 7.00/2.10 3 4 0 1 5 -> 0 4 1 5 5 3 , 7.00/2.10 3 4 0 2 4 -> 0 3 4 0 4 2 , 7.00/2.10 3 4 1 2 4 -> 0 4 1 2 4 3 , 7.00/2.10 3 4 1 3 5 -> 4 3 0 3 1 5 , 7.00/2.10 3 4 3 0 2 -> 3 3 0 4 1 2 , 7.00/2.10 3 4 5 0 2 -> 0 3 0 4 2 5 , 7.00/2.10 3 5 0 2 2 -> 0 3 2 5 2 5 , 7.00/2.10 3 5 2 1 4 -> 3 5 1 0 4 2 } 7.00/2.10 7.00/2.10 7.00/2.10 The system was filtered by the following matrix interpretation 7.00/2.10 of type E_J with J = {1,...,2} and dimension 6: 7.00/2.10 7.00/2.10 0 is interpreted by 7.00/2.10 / \ 7.00/2.10 | 1 0 1 0 0 0 | 7.00/2.10 | 0 1 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 0 | 7.00/2.10 \ / 7.00/2.10 1 is interpreted by 7.00/2.10 / \ 7.00/2.10 | 1 0 0 0 0 0 | 7.00/2.10 | 0 1 0 0 0 0 | 7.00/2.10 | 0 0 0 1 0 0 | 7.00/2.10 | 0 0 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 0 | 7.00/2.10 \ / 7.00/2.10 2 is interpreted by 7.00/2.10 / \ 7.00/2.10 | 1 0 0 0 0 0 | 7.00/2.10 | 0 1 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 0 | 7.00/2.10 \ / 7.00/2.10 3 is interpreted by 7.00/2.10 / \ 7.00/2.10 | 1 0 0 0 0 0 | 7.00/2.10 | 0 1 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 1 | 7.00/2.10 | 0 0 0 0 0 1 | 7.00/2.10 \ / 7.00/2.10 4 is interpreted by 7.00/2.10 / \ 7.00/2.10 | 1 0 0 0 0 0 | 7.00/2.10 | 0 1 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 0 | 7.00/2.10 | 0 0 0 0 1 0 | 7.00/2.10 | 0 0 0 0 0 0 | 7.00/2.10 | 0 1 0 0 0 0 | 7.00/2.10 \ / 7.00/2.10 5 is interpreted by 7.00/2.10 / \ 7.00/2.10 | 1 0 0 0 0 0 | 7.00/2.10 | 0 1 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 0 | 7.00/2.10 \ / 7.00/2.10 7.00/2.10 Remains to prove termination of the 30-rule system 7.00/2.10 { 0 2 1 5 -> 5 0 4 1 2 , 7.00/2.10 3 4 0 2 -> 3 0 4 5 2 , 7.00/2.10 3 4 0 2 -> 3 5 0 4 2 , 7.00/2.10 0 0 1 4 5 -> 0 4 1 0 3 5 , 7.00/2.10 0 1 4 0 2 -> 0 4 1 5 0 2 , 7.00/2.10 0 1 4 1 5 -> 2 5 0 4 1 1 , 7.00/2.10 0 1 4 3 5 -> 5 4 5 0 3 1 , 7.00/2.10 0 1 5 0 2 -> 0 0 4 1 2 5 , 7.00/2.10 0 2 1 5 4 -> 5 0 2 0 4 1 , 7.00/2.10 0 2 4 1 5 -> 5 0 4 1 5 2 , 7.00/2.10 0 2 4 3 5 -> 0 4 5 2 5 3 , 7.00/2.10 0 2 5 1 4 -> 0 0 5 4 1 2 , 7.00/2.10 3 0 1 3 2 -> 0 3 1 0 3 2 , 7.00/2.10 3 0 2 1 5 -> 5 3 2 0 4 1 , 7.00/2.10 3 0 4 0 2 -> 0 3 4 0 4 2 , 7.00/2.10 3 0 4 0 2 -> 0 4 1 2 0 3 , 7.00/2.10 3 0 5 1 4 -> 3 0 4 1 1 5 , 7.00/2.10 3 0 5 1 5 -> 0 4 1 3 5 5 , 7.00/2.10 3 2 4 1 2 -> 3 1 2 2 5 4 , 7.00/2.10 3 2 4 1 5 -> 3 1 4 5 2 5 , 7.00/2.10 3 4 0 1 2 -> 0 4 2 0 3 1 , 7.00/2.10 3 4 0 1 4 -> 0 4 1 5 3 4 , 7.00/2.10 3 4 0 1 5 -> 0 4 1 5 5 3 , 7.00/2.10 3 4 0 2 4 -> 0 3 4 0 4 2 , 7.00/2.10 3 4 1 2 4 -> 0 4 1 2 4 3 , 7.00/2.10 3 4 1 3 5 -> 4 3 0 3 1 5 , 7.00/2.10 3 4 3 0 2 -> 3 3 0 4 1 2 , 7.00/2.10 3 4 5 0 2 -> 0 3 0 4 2 5 , 7.00/2.10 3 5 0 2 2 -> 0 3 2 5 2 5 , 7.00/2.10 3 5 2 1 4 -> 3 5 1 0 4 2 } 7.00/2.10 7.00/2.10 7.00/2.10 The system was filtered by the following matrix interpretation 7.00/2.10 of type E_J with J = {1,...,2} and dimension 6: 7.00/2.10 7.00/2.10 0 is interpreted by 7.00/2.10 / \ 7.00/2.10 | 1 0 1 0 0 0 | 7.00/2.10 | 0 1 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 0 | 7.00/2.10 \ / 7.00/2.10 1 is interpreted by 7.00/2.10 / \ 7.00/2.10 | 1 0 0 0 0 0 | 7.00/2.10 | 0 1 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 1 | 7.00/2.10 | 0 0 0 0 0 0 | 7.00/2.10 \ / 7.00/2.10 2 is interpreted by 7.00/2.10 / \ 7.00/2.10 | 1 0 0 0 0 0 | 7.00/2.10 | 0 1 0 0 0 0 | 7.00/2.10 | 0 0 0 1 0 0 | 7.00/2.10 | 0 0 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 0 | 7.00/2.10 \ / 7.00/2.10 3 is interpreted by 7.00/2.10 / \ 7.00/2.10 | 1 0 0 0 0 0 | 7.00/2.10 | 0 1 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 0 | 7.00/2.10 | 0 1 0 0 0 0 | 7.00/2.10 \ / 7.00/2.10 4 is interpreted by 7.00/2.10 / \ 7.00/2.10 | 1 0 0 0 0 0 | 7.00/2.10 | 0 1 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 0 | 7.00/2.10 | 0 1 0 0 0 0 | 7.00/2.10 \ / 7.00/2.10 5 is interpreted by 7.00/2.10 / \ 7.00/2.10 | 1 0 0 0 0 0 | 7.00/2.10 | 0 1 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 0 | 7.00/2.10 | 0 0 0 0 1 0 | 7.00/2.10 | 0 0 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 0 | 7.00/2.10 \ / 7.00/2.10 7.00/2.10 Remains to prove termination of the 29-rule system 7.00/2.10 { 0 2 1 5 -> 5 0 4 1 2 , 7.00/2.10 3 4 0 2 -> 3 0 4 5 2 , 7.00/2.10 3 4 0 2 -> 3 5 0 4 2 , 7.00/2.10 0 0 1 4 5 -> 0 4 1 0 3 5 , 7.00/2.10 0 1 4 0 2 -> 0 4 1 5 0 2 , 7.00/2.10 0 1 4 1 5 -> 2 5 0 4 1 1 , 7.00/2.10 0 1 4 3 5 -> 5 4 5 0 3 1 , 7.00/2.10 0 1 5 0 2 -> 0 0 4 1 2 5 , 7.00/2.10 0 2 1 5 4 -> 5 0 2 0 4 1 , 7.00/2.10 0 2 4 1 5 -> 5 0 4 1 5 2 , 7.00/2.10 0 2 4 3 5 -> 0 4 5 2 5 3 , 7.00/2.10 3 0 1 3 2 -> 0 3 1 0 3 2 , 7.00/2.10 3 0 2 1 5 -> 5 3 2 0 4 1 , 7.00/2.10 3 0 4 0 2 -> 0 3 4 0 4 2 , 7.00/2.10 3 0 4 0 2 -> 0 4 1 2 0 3 , 7.00/2.10 3 0 5 1 4 -> 3 0 4 1 1 5 , 7.00/2.10 3 0 5 1 5 -> 0 4 1 3 5 5 , 7.00/2.10 3 2 4 1 2 -> 3 1 2 2 5 4 , 7.00/2.10 3 2 4 1 5 -> 3 1 4 5 2 5 , 7.00/2.10 3 4 0 1 2 -> 0 4 2 0 3 1 , 7.00/2.10 3 4 0 1 4 -> 0 4 1 5 3 4 , 7.00/2.10 3 4 0 1 5 -> 0 4 1 5 5 3 , 7.00/2.10 3 4 0 2 4 -> 0 3 4 0 4 2 , 7.00/2.10 3 4 1 2 4 -> 0 4 1 2 4 3 , 7.00/2.10 3 4 1 3 5 -> 4 3 0 3 1 5 , 7.00/2.10 3 4 3 0 2 -> 3 3 0 4 1 2 , 7.00/2.10 3 4 5 0 2 -> 0 3 0 4 2 5 , 7.00/2.10 3 5 0 2 2 -> 0 3 2 5 2 5 , 7.00/2.10 3 5 2 1 4 -> 3 5 1 0 4 2 } 7.00/2.10 7.00/2.10 7.00/2.10 The system was filtered by the following matrix interpretation 7.00/2.10 of type E_J with J = {1,...,2} and dimension 6: 7.00/2.10 7.00/2.10 0 is interpreted by 7.00/2.10 / \ 7.00/2.10 | 1 0 1 0 0 0 | 7.00/2.10 | 0 1 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 0 | 7.00/2.10 | 0 1 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 0 | 7.00/2.10 \ / 7.00/2.10 1 is interpreted by 7.00/2.10 / \ 7.00/2.10 | 1 0 0 0 0 0 | 7.00/2.10 | 0 1 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 0 | 7.00/2.10 | 0 0 0 0 1 0 | 7.00/2.10 | 0 0 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 0 | 7.00/2.10 \ / 7.00/2.10 2 is interpreted by 7.00/2.10 / \ 7.00/2.10 | 1 0 0 0 0 0 | 7.00/2.10 | 0 1 0 0 0 0 | 7.00/2.10 | 0 0 0 1 0 0 | 7.00/2.10 | 0 0 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 0 | 7.00/2.10 \ / 7.00/2.10 3 is interpreted by 7.00/2.10 / \ 7.00/2.10 | 1 0 0 0 0 0 | 7.00/2.10 | 0 1 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 0 | 7.00/2.10 | 0 1 0 0 0 0 | 7.00/2.10 | 0 1 0 0 0 0 | 7.00/2.10 \ / 7.00/2.10 4 is interpreted by 7.00/2.10 / \ 7.00/2.10 | 1 0 0 0 0 0 | 7.00/2.10 | 0 1 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 0 | 7.00/2.10 | 0 0 0 0 0 0 | 7.00/2.11 | 0 1 0 0 0 0 | 7.00/2.11 \ / 7.00/2.11 5 is interpreted by 7.00/2.11 / \ 7.00/2.11 | 1 0 0 0 0 0 | 7.00/2.11 | 0 1 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 1 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 \ / 7.00/2.11 7.00/2.11 Remains to prove termination of the 28-rule system 7.00/2.11 { 0 2 1 5 -> 5 0 4 1 2 , 7.00/2.11 3 4 0 2 -> 3 0 4 5 2 , 7.00/2.11 3 4 0 2 -> 3 5 0 4 2 , 7.00/2.11 0 0 1 4 5 -> 0 4 1 0 3 5 , 7.00/2.11 0 1 4 0 2 -> 0 4 1 5 0 2 , 7.00/2.11 0 1 4 1 5 -> 2 5 0 4 1 1 , 7.00/2.11 0 1 4 3 5 -> 5 4 5 0 3 1 , 7.00/2.11 0 1 5 0 2 -> 0 0 4 1 2 5 , 7.00/2.11 0 2 4 1 5 -> 5 0 4 1 5 2 , 7.00/2.11 0 2 4 3 5 -> 0 4 5 2 5 3 , 7.00/2.11 3 0 1 3 2 -> 0 3 1 0 3 2 , 7.00/2.11 3 0 2 1 5 -> 5 3 2 0 4 1 , 7.00/2.11 3 0 4 0 2 -> 0 3 4 0 4 2 , 7.00/2.11 3 0 4 0 2 -> 0 4 1 2 0 3 , 7.00/2.11 3 0 5 1 4 -> 3 0 4 1 1 5 , 7.00/2.11 3 0 5 1 5 -> 0 4 1 3 5 5 , 7.00/2.11 3 2 4 1 2 -> 3 1 2 2 5 4 , 7.00/2.11 3 2 4 1 5 -> 3 1 4 5 2 5 , 7.00/2.11 3 4 0 1 2 -> 0 4 2 0 3 1 , 7.00/2.11 3 4 0 1 4 -> 0 4 1 5 3 4 , 7.00/2.11 3 4 0 1 5 -> 0 4 1 5 5 3 , 7.00/2.11 3 4 0 2 4 -> 0 3 4 0 4 2 , 7.00/2.11 3 4 1 2 4 -> 0 4 1 2 4 3 , 7.00/2.11 3 4 1 3 5 -> 4 3 0 3 1 5 , 7.00/2.11 3 4 3 0 2 -> 3 3 0 4 1 2 , 7.00/2.11 3 4 5 0 2 -> 0 3 0 4 2 5 , 7.00/2.11 3 5 0 2 2 -> 0 3 2 5 2 5 , 7.00/2.11 3 5 2 1 4 -> 3 5 1 0 4 2 } 7.00/2.11 7.00/2.11 7.00/2.11 The system was filtered by the following matrix interpretation 7.00/2.11 of type E_J with J = {1,...,2} and dimension 5: 7.00/2.11 7.00/2.11 0 is interpreted by 7.00/2.11 / \ 7.00/2.11 | 1 0 1 0 0 | 7.00/2.11 | 0 1 0 0 0 | 7.00/2.11 | 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 | 7.00/2.11 | 0 0 1 0 0 | 7.00/2.11 \ / 7.00/2.11 1 is interpreted by 7.00/2.11 / \ 7.00/2.11 | 1 0 0 0 0 | 7.00/2.11 | 0 1 0 0 0 | 7.00/2.11 | 0 1 0 0 0 | 7.00/2.11 | 0 0 0 0 1 | 7.00/2.11 | 0 0 0 0 0 | 7.00/2.11 \ / 7.00/2.11 2 is interpreted by 7.00/2.11 / \ 7.00/2.11 | 1 0 0 0 0 | 7.00/2.11 | 0 1 0 0 0 | 7.00/2.11 | 0 0 0 1 0 | 7.00/2.11 | 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 | 7.00/2.11 \ / 7.00/2.11 3 is interpreted by 7.00/2.11 / \ 7.00/2.11 | 1 0 0 0 0 | 7.00/2.11 | 0 1 0 0 0 | 7.00/2.11 | 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 | 7.00/2.11 | 1 0 0 0 0 | 7.00/2.11 \ / 7.00/2.11 4 is interpreted by 7.00/2.11 / \ 7.00/2.11 | 1 0 0 0 0 | 7.00/2.11 | 0 1 0 0 0 | 7.00/2.11 | 0 0 0 0 0 | 7.00/2.11 | 0 0 1 0 0 | 7.00/2.11 | 0 0 0 0 0 | 7.00/2.11 \ / 7.00/2.11 5 is interpreted by 7.00/2.11 / \ 7.00/2.11 | 1 0 0 0 0 | 7.00/2.11 | 0 1 0 0 0 | 7.00/2.11 | 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 | 7.00/2.11 | 0 1 0 0 0 | 7.00/2.11 \ / 7.00/2.11 7.00/2.11 Remains to prove termination of the 16-rule system 7.00/2.11 { 3 4 0 2 -> 3 0 4 5 2 , 7.00/2.11 3 4 0 2 -> 3 5 0 4 2 , 7.00/2.11 0 2 4 3 5 -> 0 4 5 2 5 3 , 7.00/2.11 3 0 4 0 2 -> 0 3 4 0 4 2 , 7.00/2.11 3 0 4 0 2 -> 0 4 1 2 0 3 , 7.00/2.11 3 0 5 1 4 -> 3 0 4 1 1 5 , 7.00/2.11 3 0 5 1 5 -> 0 4 1 3 5 5 , 7.00/2.11 3 2 4 1 2 -> 3 1 2 2 5 4 , 7.00/2.11 3 2 4 1 5 -> 3 1 4 5 2 5 , 7.00/2.11 3 4 0 2 4 -> 0 3 4 0 4 2 , 7.00/2.11 3 4 1 2 4 -> 0 4 1 2 4 3 , 7.00/2.11 3 4 1 3 5 -> 4 3 0 3 1 5 , 7.00/2.11 3 4 3 0 2 -> 3 3 0 4 1 2 , 7.00/2.11 3 4 5 0 2 -> 0 3 0 4 2 5 , 7.00/2.11 3 5 0 2 2 -> 0 3 2 5 2 5 , 7.00/2.11 3 5 2 1 4 -> 3 5 1 0 4 2 } 7.00/2.11 7.00/2.11 7.00/2.11 The system was filtered by the following matrix interpretation 7.00/2.11 of type E_J with J = {1,...,2} and dimension 9: 7.00/2.11 7.00/2.11 0 is interpreted by 7.00/2.11 / \ 7.00/2.11 | 1 0 1 0 0 0 0 0 0 | 7.00/2.11 | 0 1 0 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 0 0 1 | 7.00/2.11 | 0 0 0 0 0 0 0 0 0 | 7.00/2.11 \ / 7.00/2.11 1 is interpreted by 7.00/2.11 / \ 7.00/2.11 | 1 0 0 0 0 0 0 0 0 | 7.00/2.11 | 0 1 0 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 0 0 0 | 7.00/2.11 \ / 7.00/2.11 2 is interpreted by 7.00/2.11 / \ 7.00/2.11 | 1 0 0 0 0 0 0 0 0 | 7.00/2.11 | 0 1 0 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 1 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 0 0 0 | 7.00/2.11 | 0 1 0 0 0 0 0 0 0 | 7.00/2.11 \ / 7.00/2.11 3 is interpreted by 7.00/2.11 / \ 7.00/2.11 | 1 0 0 0 0 0 0 0 0 | 7.00/2.11 | 0 1 0 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 1 1 0 0 | 7.00/2.11 | 0 0 0 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 0 0 0 | 7.00/2.11 \ / 7.00/2.11 4 is interpreted by 7.00/2.11 / \ 7.00/2.11 | 1 0 0 0 0 0 0 0 0 | 7.00/2.11 | 0 1 0 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 1 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 0 1 0 | 7.00/2.11 | 0 0 0 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 0 0 0 | 7.00/2.11 \ / 7.00/2.11 5 is interpreted by 7.00/2.11 / \ 7.00/2.11 | 1 0 0 0 0 0 0 0 0 | 7.00/2.11 | 0 1 0 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 0 0 0 | 7.00/2.11 | 0 1 0 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 0 0 0 | 7.00/2.11 \ / 7.00/2.11 7.00/2.11 Remains to prove termination of the 15-rule system 7.00/2.11 { 3 4 0 2 -> 3 0 4 5 2 , 7.00/2.11 3 4 0 2 -> 3 5 0 4 2 , 7.00/2.11 3 0 4 0 2 -> 0 3 4 0 4 2 , 7.00/2.11 3 0 4 0 2 -> 0 4 1 2 0 3 , 7.00/2.11 3 0 5 1 4 -> 3 0 4 1 1 5 , 7.00/2.11 3 0 5 1 5 -> 0 4 1 3 5 5 , 7.00/2.11 3 2 4 1 2 -> 3 1 2 2 5 4 , 7.00/2.11 3 2 4 1 5 -> 3 1 4 5 2 5 , 7.00/2.11 3 4 0 2 4 -> 0 3 4 0 4 2 , 7.00/2.11 3 4 1 2 4 -> 0 4 1 2 4 3 , 7.00/2.11 3 4 1 3 5 -> 4 3 0 3 1 5 , 7.00/2.11 3 4 3 0 2 -> 3 3 0 4 1 2 , 7.00/2.11 3 4 5 0 2 -> 0 3 0 4 2 5 , 7.00/2.11 3 5 0 2 2 -> 0 3 2 5 2 5 , 7.00/2.11 3 5 2 1 4 -> 3 5 1 0 4 2 } 7.00/2.11 7.00/2.11 7.00/2.11 The system was filtered by the following matrix interpretation 7.00/2.11 of type E_J with J = {1,...,2} and dimension 6: 7.00/2.11 7.00/2.11 0 is interpreted by 7.00/2.11 / \ 7.00/2.11 | 1 0 0 0 0 0 | 7.00/2.11 | 0 1 0 0 0 0 | 7.00/2.11 | 0 0 0 1 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 1 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 \ / 7.00/2.11 1 is interpreted by 7.00/2.11 / \ 7.00/2.11 | 1 0 0 0 0 0 | 7.00/2.11 | 0 1 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 \ / 7.00/2.11 2 is interpreted by 7.00/2.11 / \ 7.00/2.11 | 1 0 1 0 0 0 | 7.00/2.11 | 0 1 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 1 1 0 0 0 | 7.00/2.11 \ / 7.00/2.11 3 is interpreted by 7.00/2.11 / \ 7.00/2.11 | 1 0 1 0 0 0 | 7.00/2.11 | 0 1 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 \ / 7.00/2.11 4 is interpreted by 7.00/2.11 / \ 7.00/2.11 | 1 0 1 0 0 0 | 7.00/2.11 | 0 1 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 1 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 \ / 7.00/2.11 5 is interpreted by 7.00/2.11 / \ 7.00/2.11 | 1 0 0 0 0 0 | 7.00/2.11 | 0 1 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 \ / 7.00/2.11 7.00/2.11 Remains to prove termination of the 13-rule system 7.00/2.11 { 3 4 0 2 -> 3 0 4 5 2 , 7.00/2.11 3 4 0 2 -> 3 5 0 4 2 , 7.00/2.11 3 0 5 1 4 -> 3 0 4 1 1 5 , 7.00/2.11 3 0 5 1 5 -> 0 4 1 3 5 5 , 7.00/2.11 3 2 4 1 2 -> 3 1 2 2 5 4 , 7.00/2.11 3 2 4 1 5 -> 3 1 4 5 2 5 , 7.00/2.11 3 4 0 2 4 -> 0 3 4 0 4 2 , 7.00/2.11 3 4 1 2 4 -> 0 4 1 2 4 3 , 7.00/2.11 3 4 1 3 5 -> 4 3 0 3 1 5 , 7.00/2.11 3 4 3 0 2 -> 3 3 0 4 1 2 , 7.00/2.11 3 4 5 0 2 -> 0 3 0 4 2 5 , 7.00/2.11 3 5 0 2 2 -> 0 3 2 5 2 5 , 7.00/2.11 3 5 2 1 4 -> 3 5 1 0 4 2 } 7.00/2.11 7.00/2.11 7.00/2.11 The system was filtered by the following matrix interpretation 7.00/2.11 of type E_J with J = {1,...,2} and dimension 10: 7.00/2.11 7.00/2.11 0 is interpreted by 7.00/2.11 / \ 7.00/2.11 | 1 0 0 0 0 0 0 0 0 0 | 7.00/2.11 | 0 1 0 0 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 0 0 0 0 | 7.00/2.11 \ / 7.00/2.11 1 is interpreted by 7.00/2.11 / \ 7.00/2.11 | 1 0 0 0 0 0 0 0 0 0 | 7.00/2.11 | 0 1 0 0 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 1 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 0 0 1 0 | 7.00/2.11 | 0 0 0 0 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 0 0 0 0 | 7.00/2.11 \ / 7.00/2.11 2 is interpreted by 7.00/2.11 / \ 7.00/2.11 | 1 0 0 0 0 0 0 0 0 0 | 7.00/2.11 | 0 1 0 0 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 1 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 0 0 0 0 | 7.00/2.11 | 0 1 0 0 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 0 0 0 1 | 7.00/2.11 | 0 0 0 0 0 0 0 0 0 0 | 7.00/2.11 \ / 7.00/2.11 3 is interpreted by 7.00/2.11 / \ 7.00/2.11 | 1 0 1 0 0 0 1 0 0 0 | 7.00/2.11 | 0 1 0 0 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 0 0 0 0 | 7.00/2.11 \ / 7.00/2.11 4 is interpreted by 7.00/2.11 / \ 7.00/2.11 | 1 0 0 0 0 0 0 0 0 0 | 7.00/2.11 | 0 1 0 0 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 1 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 0 1 0 0 | 7.00/2.11 | 0 0 0 0 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 0 0 0 0 | 7.00/2.11 | 0 0 1 0 0 0 1 0 0 0 | 7.00/2.11 \ / 7.00/2.11 5 is interpreted by 7.00/2.11 / \ 7.00/2.11 | 1 0 0 0 0 0 0 0 0 0 | 7.00/2.11 | 0 1 0 0 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 0 0 0 0 | 7.00/2.11 \ / 7.00/2.11 7.00/2.11 Remains to prove termination of the 12-rule system 7.00/2.11 { 3 4 0 2 -> 3 0 4 5 2 , 7.00/2.11 3 4 0 2 -> 3 5 0 4 2 , 7.00/2.11 3 0 5 1 4 -> 3 0 4 1 1 5 , 7.00/2.11 3 0 5 1 5 -> 0 4 1 3 5 5 , 7.00/2.11 3 2 4 1 5 -> 3 1 4 5 2 5 , 7.00/2.11 3 4 0 2 4 -> 0 3 4 0 4 2 , 7.00/2.11 3 4 1 2 4 -> 0 4 1 2 4 3 , 7.00/2.11 3 4 1 3 5 -> 4 3 0 3 1 5 , 7.00/2.11 3 4 3 0 2 -> 3 3 0 4 1 2 , 7.00/2.11 3 4 5 0 2 -> 0 3 0 4 2 5 , 7.00/2.11 3 5 0 2 2 -> 0 3 2 5 2 5 , 7.00/2.11 3 5 2 1 4 -> 3 5 1 0 4 2 } 7.00/2.11 7.00/2.11 7.00/2.11 The system was filtered by the following matrix interpretation 7.00/2.11 of type E_J with J = {1,...,2} and dimension 5: 7.00/2.11 7.00/2.11 0 is interpreted by 7.00/2.11 / \ 7.00/2.11 | 1 0 0 0 0 | 7.00/2.11 | 0 1 0 0 0 | 7.00/2.11 | 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 1 | 7.00/2.11 | 0 0 0 0 0 | 7.00/2.11 \ / 7.00/2.11 1 is interpreted by 7.00/2.11 / \ 7.00/2.11 | 1 0 0 0 0 | 7.00/2.11 | 0 1 0 0 0 | 7.00/2.11 | 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 | 7.00/2.11 \ / 7.00/2.11 2 is interpreted by 7.00/2.11 / \ 7.00/2.11 | 1 0 0 0 0 | 7.00/2.11 | 0 1 0 0 0 | 7.00/2.11 | 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 | 7.00/2.11 | 0 1 0 0 0 | 7.00/2.11 \ / 7.00/2.11 3 is interpreted by 7.00/2.11 / \ 7.00/2.11 | 1 0 1 0 0 | 7.00/2.11 | 0 1 0 0 0 | 7.00/2.11 | 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 | 7.00/2.11 \ / 7.00/2.11 4 is interpreted by 7.00/2.11 / \ 7.00/2.11 | 1 0 1 0 0 | 7.00/2.11 | 0 1 0 0 0 | 7.00/2.11 | 0 0 0 1 0 | 7.00/2.11 | 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 | 7.00/2.11 \ / 7.00/2.11 5 is interpreted by 7.00/2.11 / \ 7.00/2.11 | 1 0 0 0 0 | 7.00/2.11 | 0 1 0 0 0 | 7.00/2.11 | 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 | 7.00/2.11 \ / 7.00/2.11 7.00/2.11 Remains to prove termination of the 9-rule system 7.00/2.11 { 3 0 5 1 4 -> 3 0 4 1 1 5 , 7.00/2.11 3 0 5 1 5 -> 0 4 1 3 5 5 , 7.00/2.11 3 2 4 1 5 -> 3 1 4 5 2 5 , 7.00/2.11 3 4 1 2 4 -> 0 4 1 2 4 3 , 7.00/2.11 3 4 1 3 5 -> 4 3 0 3 1 5 , 7.00/2.11 3 4 3 0 2 -> 3 3 0 4 1 2 , 7.00/2.11 3 4 5 0 2 -> 0 3 0 4 2 5 , 7.00/2.11 3 5 0 2 2 -> 0 3 2 5 2 5 , 7.00/2.11 3 5 2 1 4 -> 3 5 1 0 4 2 } 7.00/2.11 7.00/2.11 7.00/2.11 The system was filtered by the following matrix interpretation 7.00/2.11 of type E_J with J = {1,...,2} and dimension 6: 7.00/2.11 7.00/2.11 0 is interpreted by 7.00/2.11 / \ 7.00/2.11 | 1 0 0 0 0 0 | 7.00/2.11 | 0 1 0 0 0 0 | 7.00/2.11 | 0 0 0 1 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 \ / 7.00/2.11 1 is interpreted by 7.00/2.11 / \ 7.00/2.11 | 1 0 0 0 0 0 | 7.00/2.11 | 0 1 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 1 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 \ / 7.00/2.11 2 is interpreted by 7.00/2.11 / \ 7.00/2.11 | 1 0 0 0 0 0 | 7.00/2.11 | 0 1 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 \ / 7.00/2.11 3 is interpreted by 7.00/2.11 / \ 7.00/2.11 | 1 0 1 0 0 0 | 7.00/2.11 | 0 1 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 \ / 7.00/2.11 4 is interpreted by 7.00/2.11 / \ 7.00/2.11 | 1 0 1 0 0 0 | 7.00/2.11 | 0 1 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 \ / 7.00/2.11 5 is interpreted by 7.00/2.11 / \ 7.00/2.11 | 1 0 0 0 0 0 | 7.00/2.11 | 0 1 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 1 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 1 0 0 0 0 | 7.00/2.11 \ / 7.00/2.11 7.00/2.11 Remains to prove termination of the 8-rule system 7.00/2.11 { 3 0 5 1 4 -> 3 0 4 1 1 5 , 7.00/2.11 3 2 4 1 5 -> 3 1 4 5 2 5 , 7.00/2.11 3 4 1 2 4 -> 0 4 1 2 4 3 , 7.00/2.11 3 4 1 3 5 -> 4 3 0 3 1 5 , 7.00/2.11 3 4 3 0 2 -> 3 3 0 4 1 2 , 7.00/2.11 3 4 5 0 2 -> 0 3 0 4 2 5 , 7.00/2.11 3 5 0 2 2 -> 0 3 2 5 2 5 , 7.00/2.11 3 5 2 1 4 -> 3 5 1 0 4 2 } 7.00/2.11 7.00/2.11 7.00/2.11 The system was filtered by the following matrix interpretation 7.00/2.11 of type E_J with J = {1,...,2} and dimension 6: 7.00/2.11 7.00/2.11 0 is interpreted by 7.00/2.11 / \ 7.00/2.11 | 1 0 0 0 0 0 | 7.00/2.11 | 0 1 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 \ / 7.00/2.11 1 is interpreted by 7.00/2.11 / \ 7.00/2.11 | 1 0 0 0 0 0 | 7.00/2.11 | 0 1 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 1 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 \ / 7.00/2.11 2 is interpreted by 7.00/2.11 / \ 7.00/2.11 | 1 0 0 0 0 0 | 7.00/2.11 | 0 1 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 \ / 7.00/2.11 3 is interpreted by 7.00/2.11 / \ 7.00/2.11 | 1 0 1 0 0 0 | 7.00/2.11 | 0 1 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 1 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 \ / 7.00/2.11 4 is interpreted by 7.00/2.11 / \ 7.00/2.11 | 1 0 1 0 0 0 | 7.00/2.11 | 0 1 0 0 0 0 | 7.00/2.11 | 0 0 0 1 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 \ / 7.00/2.11 5 is interpreted by 7.00/2.11 / \ 7.00/2.11 | 1 0 0 0 0 0 | 7.00/2.11 | 0 1 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 1 0 0 0 0 | 7.00/2.11 \ / 7.00/2.11 7.00/2.11 Remains to prove termination of the 7-rule system 7.00/2.11 { 3 0 5 1 4 -> 3 0 4 1 1 5 , 7.00/2.11 3 2 4 1 5 -> 3 1 4 5 2 5 , 7.00/2.11 3 4 1 2 4 -> 0 4 1 2 4 3 , 7.00/2.11 3 4 3 0 2 -> 3 3 0 4 1 2 , 7.00/2.11 3 4 5 0 2 -> 0 3 0 4 2 5 , 7.00/2.11 3 5 0 2 2 -> 0 3 2 5 2 5 , 7.00/2.11 3 5 2 1 4 -> 3 5 1 0 4 2 } 7.00/2.11 7.00/2.11 7.00/2.11 The system was filtered by the following matrix interpretation 7.00/2.11 of type E_J with J = {1,...,2} and dimension 6: 7.00/2.11 7.00/2.11 0 is interpreted by 7.00/2.11 / \ 7.00/2.11 | 1 0 0 0 0 0 | 7.00/2.11 | 0 1 0 0 0 0 | 7.00/2.11 | 0 0 0 1 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 \ / 7.00/2.11 1 is interpreted by 7.00/2.11 / \ 7.00/2.11 | 1 0 0 0 0 0 | 7.00/2.11 | 0 1 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 1 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 \ / 7.00/2.11 2 is interpreted by 7.00/2.11 / \ 7.00/2.11 | 1 0 0 0 0 0 | 7.00/2.11 | 0 1 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 \ / 7.00/2.11 3 is interpreted by 7.00/2.11 / \ 7.00/2.11 | 1 0 1 0 0 0 | 7.00/2.11 | 0 1 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 \ / 7.00/2.11 4 is interpreted by 7.00/2.11 / \ 7.00/2.11 | 1 0 1 0 0 0 | 7.00/2.11 | 0 1 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 1 0 0 0 0 | 7.00/2.11 \ / 7.00/2.11 5 is interpreted by 7.00/2.11 / \ 7.00/2.11 | 1 0 0 0 0 0 | 7.00/2.11 | 0 1 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 1 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 \ / 7.00/2.11 7.00/2.11 Remains to prove termination of the 6-rule system 7.00/2.11 { 3 2 4 1 5 -> 3 1 4 5 2 5 , 7.00/2.11 3 4 1 2 4 -> 0 4 1 2 4 3 , 7.00/2.11 3 4 3 0 2 -> 3 3 0 4 1 2 , 7.00/2.11 3 4 5 0 2 -> 0 3 0 4 2 5 , 7.00/2.11 3 5 0 2 2 -> 0 3 2 5 2 5 , 7.00/2.11 3 5 2 1 4 -> 3 5 1 0 4 2 } 7.00/2.11 7.00/2.11 7.00/2.11 The system was filtered by the following matrix interpretation 7.00/2.11 of type E_J with J = {1,...,2} and dimension 6: 7.00/2.11 7.00/2.11 0 is interpreted by 7.00/2.11 / \ 7.00/2.11 | 1 0 0 0 0 0 | 7.00/2.11 | 0 1 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 \ / 7.00/2.11 1 is interpreted by 7.00/2.11 / \ 7.00/2.11 | 1 0 0 0 0 0 | 7.00/2.11 | 0 1 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 1 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 \ / 7.00/2.11 2 is interpreted by 7.00/2.11 / \ 7.00/2.11 | 1 0 0 0 0 0 | 7.00/2.11 | 0 1 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 1 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 \ / 7.00/2.11 3 is interpreted by 7.00/2.11 / \ 7.00/2.11 | 1 0 1 0 0 0 | 7.00/2.11 | 0 1 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 \ / 7.00/2.11 4 is interpreted by 7.00/2.11 / \ 7.00/2.11 | 1 0 1 0 0 0 | 7.00/2.11 | 0 1 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 1 0 0 0 0 | 7.00/2.11 \ / 7.00/2.11 5 is interpreted by 7.00/2.11 / \ 7.00/2.11 | 1 0 0 0 0 0 | 7.00/2.11 | 0 1 0 0 0 0 | 7.00/2.11 | 0 0 0 1 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 \ / 7.00/2.11 7.00/2.11 Remains to prove termination of the 5-rule system 7.00/2.11 { 3 2 4 1 5 -> 3 1 4 5 2 5 , 7.00/2.11 3 4 1 2 4 -> 0 4 1 2 4 3 , 7.00/2.11 3 4 3 0 2 -> 3 3 0 4 1 2 , 7.00/2.11 3 4 5 0 2 -> 0 3 0 4 2 5 , 7.00/2.11 3 5 0 2 2 -> 0 3 2 5 2 5 } 7.00/2.11 7.00/2.11 7.00/2.11 The system was filtered by the following matrix interpretation 7.00/2.11 of type E_J with J = {1,...,2} and dimension 6: 7.00/2.11 7.00/2.11 0 is interpreted by 7.00/2.11 / \ 7.00/2.11 | 1 0 0 0 0 0 | 7.00/2.11 | 0 1 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 \ / 7.00/2.11 1 is interpreted by 7.00/2.11 / \ 7.00/2.11 | 1 0 0 0 0 0 | 7.00/2.11 | 0 1 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 1 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 \ / 7.00/2.11 2 is interpreted by 7.00/2.11 / \ 7.00/2.11 | 1 0 0 0 0 0 | 7.00/2.11 | 0 1 0 0 0 0 | 7.00/2.11 | 0 0 0 1 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 \ / 7.00/2.11 3 is interpreted by 7.00/2.11 / \ 7.00/2.11 | 1 0 1 0 0 0 | 7.00/2.11 | 0 1 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 \ / 7.00/2.11 4 is interpreted by 7.00/2.11 / \ 7.00/2.11 | 1 0 1 0 0 0 | 7.00/2.11 | 0 1 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 1 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 \ / 7.00/2.11 5 is interpreted by 7.00/2.11 / \ 7.00/2.11 | 1 0 0 0 0 0 | 7.00/2.11 | 0 1 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 1 0 0 0 0 | 7.00/2.11 \ / 7.00/2.11 7.00/2.11 Remains to prove termination of the 4-rule system 7.00/2.11 { 3 4 1 2 4 -> 0 4 1 2 4 3 , 7.00/2.11 3 4 3 0 2 -> 3 3 0 4 1 2 , 7.00/2.11 3 4 5 0 2 -> 0 3 0 4 2 5 , 7.00/2.11 3 5 0 2 2 -> 0 3 2 5 2 5 } 7.00/2.11 7.00/2.11 7.00/2.11 The system was filtered by the following matrix interpretation 7.00/2.11 of type E_J with J = {1,...,2} and dimension 6: 7.00/2.11 7.00/2.11 0 is interpreted by 7.00/2.11 / \ 7.00/2.11 | 1 0 0 0 0 0 | 7.00/2.11 | 0 1 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 \ / 7.00/2.11 1 is interpreted by 7.00/2.11 / \ 7.00/2.11 | 1 0 0 0 0 0 | 7.00/2.11 | 0 1 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 1 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 \ / 7.00/2.11 2 is interpreted by 7.00/2.11 / \ 7.00/2.11 | 1 0 0 0 0 0 | 7.00/2.11 | 0 1 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 1 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 \ / 7.00/2.11 3 is interpreted by 7.00/2.11 / \ 7.00/2.11 | 1 0 1 0 0 0 | 7.00/2.11 | 0 1 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 \ / 7.00/2.11 4 is interpreted by 7.00/2.11 / \ 7.00/2.11 | 1 0 1 0 0 0 | 7.00/2.11 | 0 1 0 0 0 0 | 7.00/2.11 | 0 0 0 1 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 1 0 0 0 0 | 7.00/2.11 \ / 7.00/2.11 5 is interpreted by 7.00/2.11 / \ 7.00/2.11 | 1 0 0 0 0 0 | 7.00/2.11 | 0 1 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 \ / 7.00/2.11 7.00/2.11 Remains to prove termination of the 3-rule system 7.00/2.11 { 3 4 3 0 2 -> 3 3 0 4 1 2 , 7.00/2.11 3 4 5 0 2 -> 0 3 0 4 2 5 , 7.00/2.11 3 5 0 2 2 -> 0 3 2 5 2 5 } 7.00/2.11 7.00/2.11 7.00/2.11 The system was filtered by the following matrix interpretation 7.00/2.11 of type E_J with J = {1,...,2} and dimension 6: 7.00/2.11 7.00/2.11 0 is interpreted by 7.00/2.11 / \ 7.00/2.11 | 1 0 0 0 0 0 | 7.00/2.11 | 0 1 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 1 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 \ / 7.00/2.11 1 is interpreted by 7.00/2.11 / \ 7.00/2.11 | 1 0 0 0 0 0 | 7.00/2.11 | 0 1 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 \ / 7.00/2.11 2 is interpreted by 7.00/2.11 / \ 7.00/2.11 | 1 0 0 0 0 0 | 7.00/2.11 | 0 1 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 1 0 0 0 0 | 7.00/2.11 \ / 7.00/2.11 3 is interpreted by 7.00/2.11 / \ 7.00/2.11 | 1 0 1 0 0 0 | 7.00/2.11 | 0 1 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 1 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 \ / 7.00/2.11 4 is interpreted by 7.00/2.11 / \ 7.00/2.11 | 1 0 0 0 0 0 | 7.00/2.11 | 0 1 0 0 0 0 | 7.00/2.11 | 0 0 0 1 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 \ / 7.00/2.11 5 is interpreted by 7.00/2.11 / \ 7.00/2.11 | 1 0 0 0 0 0 | 7.00/2.11 | 0 1 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 \ / 7.00/2.11 7.00/2.11 Remains to prove termination of the 2-rule system 7.00/2.11 { 3 4 5 0 2 -> 0 3 0 4 2 5 , 7.00/2.11 3 5 0 2 2 -> 0 3 2 5 2 5 } 7.00/2.11 7.00/2.11 7.00/2.11 The system was filtered by the following matrix interpretation 7.00/2.11 of type E_J with J = {1,...,2} and dimension 6: 7.00/2.11 7.00/2.11 0 is interpreted by 7.00/2.11 / \ 7.00/2.11 | 1 0 0 0 0 0 | 7.00/2.11 | 0 1 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 1 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 \ / 7.00/2.11 1 is interpreted by 7.00/2.11 / \ 7.00/2.11 | 1 0 0 0 0 0 | 7.00/2.11 | 0 1 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 \ / 7.00/2.11 2 is interpreted by 7.00/2.11 / \ 7.00/2.11 | 1 0 0 0 0 0 | 7.00/2.11 | 0 1 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 1 0 0 0 0 | 7.00/2.11 \ / 7.00/2.11 3 is interpreted by 7.00/2.11 / \ 7.00/2.11 | 1 0 1 0 0 0 | 7.00/2.11 | 0 1 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 \ / 7.00/2.11 4 is interpreted by 7.00/2.11 / \ 7.00/2.11 | 1 0 0 0 0 0 | 7.00/2.11 | 0 1 0 0 0 0 | 7.00/2.11 | 0 0 0 1 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 \ / 7.00/2.11 5 is interpreted by 7.00/2.11 / \ 7.00/2.11 | 1 0 0 0 0 0 | 7.00/2.11 | 0 1 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 1 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 \ / 7.00/2.11 7.00/2.11 Remains to prove termination of the 1-rule system 7.00/2.11 { 3 5 0 2 2 -> 0 3 2 5 2 5 } 7.00/2.11 7.00/2.11 7.00/2.11 The system was filtered by the following matrix interpretation 7.00/2.11 of type E_J with J = {1,...,2} and dimension 6: 7.00/2.11 7.00/2.11 0 is interpreted by 7.00/2.11 / \ 7.00/2.11 | 1 0 0 0 0 0 | 7.00/2.11 | 0 1 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 1 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 \ / 7.00/2.11 1 is interpreted by 7.00/2.11 / \ 7.00/2.11 | 1 0 0 0 0 0 | 7.00/2.11 | 0 1 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 \ / 7.00/2.11 2 is interpreted by 7.00/2.11 / \ 7.00/2.11 | 1 0 0 0 0 0 | 7.00/2.11 | 0 1 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 1 | 7.00/2.11 | 0 1 0 0 0 0 | 7.00/2.11 \ / 7.00/2.11 3 is interpreted by 7.00/2.11 / \ 7.00/2.11 | 1 0 1 0 0 0 | 7.00/2.11 | 0 1 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 \ / 7.00/2.11 4 is interpreted by 7.00/2.11 / \ 7.00/2.11 | 1 0 0 0 0 0 | 7.00/2.11 | 0 1 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 \ / 7.00/2.11 5 is interpreted by 7.00/2.11 / \ 7.00/2.11 | 1 0 0 0 0 0 | 7.00/2.11 | 0 1 0 0 0 0 | 7.00/2.11 | 0 0 0 1 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 | 0 0 0 0 0 0 | 7.00/2.11 \ / 7.00/2.11 7.00/2.11 Remains to prove termination of the 0-rule system 7.00/2.11 { } 7.00/2.11 7.00/2.11 7.00/2.11 The system is trivially terminating. 7.34/2.14 EOF