2.37/0.84 YES 2.91/0.93 2.91/0.93 2.91/0.93 The system was filtered by the following matrix interpretation 2.91/0.93 of type E_J with J = {1,...,2} and dimension 14: 2.91/0.93 2.91/0.93 1 is interpreted by 2.91/0.93 / \ 2.91/0.93 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 \ / 2.91/0.93 2 is interpreted by 2.91/0.93 / \ 2.91/0.93 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 \ / 2.91/0.93 0 is interpreted by 2.91/0.93 / \ 2.91/0.93 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 \ / 2.91/0.93 2.91/0.93 Remains to prove termination of the 6-rule system 2.91/0.93 { 2 0 1 2 1 2 1 2 1 0 0 1 0 -> 2 2 0 0 2 1 1 1 0 0 0 1 1 1 2 2 0 , 2.91/0.93 2 1 0 0 2 1 1 1 0 1 2 2 0 -> 0 0 2 1 0 0 1 1 2 2 2 2 2 1 2 1 0 , 2.91/0.93 2 2 0 0 1 0 2 1 1 1 0 0 1 -> 2 2 1 1 2 0 0 1 2 2 0 2 0 0 2 2 2 , 2.91/0.93 2 2 1 0 1 0 1 1 0 0 0 2 0 -> 0 2 2 1 0 0 1 0 0 1 1 1 1 0 0 2 0 , 2.91/0.93 2 2 1 1 0 2 0 0 0 2 2 0 0 -> 0 0 1 2 0 0 0 2 2 0 1 2 2 2 2 0 0 , 2.91/0.93 2 2 2 1 0 2 0 0 1 0 1 0 2 -> 0 2 2 0 0 2 2 2 1 2 0 0 2 2 0 2 2 } 2.91/0.93 2.91/0.93 2.91/0.93 The system was filtered by the following matrix interpretation 2.91/0.93 of type E_J with J = {1,...,2} and dimension 14: 2.91/0.93 2.91/0.93 1 is interpreted by 2.91/0.93 / \ 2.91/0.93 | 1 0 1 1 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 \ / 2.91/0.93 2 is interpreted by 2.91/0.93 / \ 2.91/0.93 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 \ / 2.91/0.93 0 is interpreted by 2.91/0.93 / \ 2.91/0.93 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 \ / 2.91/0.93 2.91/0.93 Remains to prove termination of the 5-rule system 2.91/0.93 { 2 0 1 2 1 2 1 2 1 0 0 1 0 -> 2 2 0 0 2 1 1 1 0 0 0 1 1 1 2 2 0 , 2.91/0.93 2 1 0 0 2 1 1 1 0 1 2 2 0 -> 0 0 2 1 0 0 1 1 2 2 2 2 2 1 2 1 0 , 2.91/0.93 2 2 1 0 1 0 1 1 0 0 0 2 0 -> 0 2 2 1 0 0 1 0 0 1 1 1 1 0 0 2 0 , 2.91/0.93 2 2 1 1 0 2 0 0 0 2 2 0 0 -> 0 0 1 2 0 0 0 2 2 0 1 2 2 2 2 0 0 , 2.91/0.93 2 2 2 1 0 2 0 0 1 0 1 0 2 -> 0 2 2 0 0 2 2 2 1 2 0 0 2 2 0 2 2 } 2.91/0.93 2.91/0.93 2.91/0.93 The system was filtered by the following matrix interpretation 2.91/0.93 of type E_J with J = {1,...,2} and dimension 14: 2.91/0.93 2.91/0.93 1 is interpreted by 2.91/0.93 / \ 2.91/0.93 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 \ / 2.91/0.93 2 is interpreted by 2.91/0.93 / \ 2.91/0.93 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 \ / 2.91/0.93 0 is interpreted by 2.91/0.93 / \ 2.91/0.93 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 1 0 0 0 0 0 0 0 0 0 0 1 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 \ / 2.91/0.93 2.91/0.93 Remains to prove termination of the 4-rule system 2.91/0.93 { 2 0 1 2 1 2 1 2 1 0 0 1 0 -> 2 2 0 0 2 1 1 1 0 0 0 1 1 1 2 2 0 , 2.91/0.93 2 1 0 0 2 1 1 1 0 1 2 2 0 -> 0 0 2 1 0 0 1 1 2 2 2 2 2 1 2 1 0 , 2.91/0.93 2 2 1 0 1 0 1 1 0 0 0 2 0 -> 0 2 2 1 0 0 1 0 0 1 1 1 1 0 0 2 0 , 2.91/0.93 2 2 1 1 0 2 0 0 0 2 2 0 0 -> 0 0 1 2 0 0 0 2 2 0 1 2 2 2 2 0 0 } 2.91/0.93 2.91/0.93 2.91/0.93 The system was filtered by the following matrix interpretation 2.91/0.93 of type E_J with J = {1,...,2} and dimension 14: 2.91/0.93 2.91/0.93 1 is interpreted by 2.91/0.93 / \ 2.91/0.93 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 \ / 2.91/0.93 2 is interpreted by 2.91/0.93 / \ 2.91/0.93 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 2.91/0.93 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 \ / 2.91/0.93 0 is interpreted by 2.91/0.93 / \ 2.91/0.93 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 \ / 2.91/0.93 2.91/0.93 Remains to prove termination of the 3-rule system 2.91/0.93 { 2 0 1 2 1 2 1 2 1 0 0 1 0 -> 2 2 0 0 2 1 1 1 0 0 0 1 1 1 2 2 0 , 2.91/0.93 2 1 0 0 2 1 1 1 0 1 2 2 0 -> 0 0 2 1 0 0 1 1 2 2 2 2 2 1 2 1 0 , 2.91/0.93 2 2 1 1 0 2 0 0 0 2 2 0 0 -> 0 0 1 2 0 0 0 2 2 0 1 2 2 2 2 0 0 } 2.91/0.93 2.91/0.93 2.91/0.93 The system was filtered by the following matrix interpretation 2.91/0.93 of type E_J with J = {1,...,2} and dimension 14: 2.91/0.93 2.91/0.93 1 is interpreted by 2.91/0.93 / \ 2.91/0.93 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 \ / 2.91/0.93 2 is interpreted by 2.91/0.93 / \ 2.91/0.93 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 \ / 2.91/0.93 0 is interpreted by 2.91/0.93 / \ 2.91/0.93 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 \ / 2.91/0.93 2.91/0.93 Remains to prove termination of the 2-rule system 2.91/0.93 { 2 1 0 0 2 1 1 1 0 1 2 2 0 -> 0 0 2 1 0 0 1 1 2 2 2 2 2 1 2 1 0 , 2.91/0.93 2 2 1 1 0 2 0 0 0 2 2 0 0 -> 0 0 1 2 0 0 0 2 2 0 1 2 2 2 2 0 0 } 2.91/0.93 2.91/0.93 2.91/0.93 The system was filtered by the following matrix interpretation 2.91/0.93 of type E_J with J = {1,...,2} and dimension 14: 2.91/0.93 2.91/0.93 1 is interpreted by 2.91/0.93 / \ 2.91/0.93 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 \ / 2.91/0.93 2 is interpreted by 2.91/0.93 / \ 2.91/0.93 | 1 0 1 1 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 2.91/0.93 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 \ / 2.91/0.93 0 is interpreted by 2.91/0.93 / \ 2.91/0.93 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 \ / 2.91/0.93 2.91/0.93 Remains to prove termination of the 1-rule system 2.91/0.93 { 2 2 1 1 0 2 0 0 0 2 2 0 0 -> 0 0 1 2 0 0 0 2 2 0 1 2 2 2 2 0 0 } 2.91/0.93 2.91/0.93 2.91/0.93 The system was filtered by the following matrix interpretation 2.91/0.93 of type E_J with J = {1,...,2} and dimension 14: 2.91/0.93 2.91/0.93 1 is interpreted by 2.91/0.93 / \ 2.91/0.93 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 \ / 2.91/0.93 2 is interpreted by 2.91/0.93 / \ 2.91/0.93 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 2.91/0.93 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 \ / 2.91/0.93 0 is interpreted by 2.91/0.93 / \ 2.91/0.93 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 2.91/0.93 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 2.91/0.93 \ / 2.91/0.93 2.91/0.93 Remains to prove termination of the 0-rule system 2.91/0.93 { } 2.91/0.93 2.91/0.93 2.91/0.93 The system is trivially terminating. 2.94/0.96 EOF