1.58/0.62 YES 1.87/0.65 1.87/0.65 1.87/0.65 1.87/0.65 1.87/0.65 The system was filtered by the following matrix interpretation 1.87/0.65 of type E_J with J = {1,...,2} and dimension 2: 1.87/0.65 1.87/0.65 0 is interpreted by 1.87/0.65 / \ 1.87/0.65 | 1 1 | 1.87/0.65 | 0 1 | 1.87/0.65 \ / 1.87/0.65 1 is interpreted by 1.87/0.65 / \ 1.87/0.65 | 1 2 | 1.87/0.65 | 0 1 | 1.87/0.65 \ / 1.87/0.65 2 is interpreted by 1.87/0.65 / \ 1.87/0.65 | 1 3 | 1.87/0.65 | 0 1 | 1.87/0.65 \ / 1.87/0.65 3 is interpreted by 1.87/0.65 / \ 1.87/0.65 | 1 1 | 1.87/0.65 | 0 1 | 1.87/0.65 \ / 1.87/0.65 5 is interpreted by 1.87/0.65 / \ 1.87/0.65 | 1 0 | 1.87/0.65 | 0 1 | 1.87/0.65 \ / 1.87/0.65 4 is interpreted by 1.87/0.65 / \ 1.87/0.65 | 1 2 | 1.87/0.65 | 0 1 | 1.87/0.65 \ / 1.87/0.65 1.87/0.65 Remains to prove termination of the 6-rule system 1.87/0.65 { 0 4 1 3 1 4 4 4 4 1 0 2 -> 4 4 2 3 0 1 1 0 3 5 3 1 0 2 , 1.87/0.65 0 5 1 2 5 4 4 2 0 1 1 2 -> 0 5 4 5 3 4 5 4 3 3 3 2 3 3 5 4 2 , 1.87/0.65 2 0 4 1 3 4 2 5 4 1 1 3 -> 2 2 3 5 0 0 4 2 0 4 3 5 5 5 4 5 0 , 1.87/0.65 2 1 3 5 1 3 1 3 1 3 1 2 -> 0 5 1 5 0 2 5 1 3 4 4 0 5 4 3 5 4 , 1.87/0.65 3 2 0 4 2 3 0 3 3 0 4 4 -> 3 4 4 0 2 5 5 0 5 3 2 3 4 5 3 3 , 1.87/0.65 4 2 4 0 3 1 3 1 3 2 2 3 -> 4 5 1 0 1 3 4 5 5 4 5 2 4 4 5 5 5 2 } 1.87/0.65 1.87/0.65 1.87/0.65 The system was filtered by the following matrix interpretation 1.87/0.65 of type E_J with J = {1,...,2} and dimension 2: 1.87/0.65 1.87/0.65 0 is interpreted by 1.87/0.65 / \ 1.87/0.65 | 1 0 | 1.87/0.65 | 0 1 | 1.87/0.65 \ / 1.87/0.65 1 is interpreted by 1.87/0.65 / \ 1.87/0.65 | 1 1 | 1.87/0.65 | 0 1 | 1.87/0.65 \ / 1.87/0.65 2 is interpreted by 1.87/0.65 / \ 1.87/0.65 | 1 0 | 1.87/0.65 | 0 1 | 1.87/0.65 \ / 1.87/0.65 3 is interpreted by 1.87/0.65 / \ 1.87/0.65 | 1 0 | 1.87/0.65 | 0 1 | 1.87/0.65 \ / 1.87/0.65 5 is interpreted by 1.87/0.65 / \ 1.87/0.65 | 1 0 | 1.87/0.65 | 0 1 | 1.87/0.65 \ / 1.87/0.65 4 is interpreted by 1.87/0.65 / \ 1.87/0.65 | 1 0 | 1.87/0.65 | 0 1 | 1.87/0.65 \ / 1.87/0.65 1.87/0.65 Remains to prove termination of the 3-rule system 1.87/0.65 { 0 4 1 3 1 4 4 4 4 1 0 2 -> 4 4 2 3 0 1 1 0 3 5 3 1 0 2 , 1.87/0.65 3 2 0 4 2 3 0 3 3 0 4 4 -> 3 4 4 0 2 5 5 0 5 3 2 3 4 5 3 3 , 1.87/0.65 4 2 4 0 3 1 3 1 3 2 2 3 -> 4 5 1 0 1 3 4 5 5 4 5 2 4 4 5 5 5 2 } 1.87/0.65 1.87/0.65 1.87/0.65 The system was filtered by the following matrix interpretation 1.87/0.65 of type E_J with J = {1,...,2} and dimension 13: 1.87/0.65 1.87/0.65 0 is interpreted by 1.87/0.65 / \ 1.87/0.65 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 1.87/0.65 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 1.87/0.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.87/0.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.87/0.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.87/0.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.87/0.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.87/0.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.87/0.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.87/0.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.87/0.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.87/0.65 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 1.87/0.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.87/0.65 \ / 1.87/0.65 1 is interpreted by 1.87/0.65 / \ 1.87/0.65 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 1.87/0.65 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 1.87/0.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.87/0.65 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 1.87/0.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.87/0.65 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 1.87/0.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.87/0.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.87/0.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.87/0.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.87/0.65 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 1.87/0.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.87/0.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.87/0.65 \ / 1.87/0.65 2 is interpreted by 1.87/0.65 / \ 1.87/0.65 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 1.87/0.65 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 1.87/0.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.87/0.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.87/0.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.87/0.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.87/0.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.87/0.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.87/0.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.87/0.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.87/0.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.87/0.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.87/0.65 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 1.87/0.65 \ / 1.87/0.65 3 is interpreted by 1.87/0.65 / \ 1.87/0.65 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 1.87/0.65 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 1.87/0.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.87/0.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.87/0.65 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 1.87/0.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.87/0.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.87/0.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.87/0.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.87/0.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.87/0.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.87/0.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.87/0.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.87/0.65 \ / 1.87/0.65 5 is interpreted by 1.87/0.65 / \ 1.87/0.65 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 1.87/0.65 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 1.87/0.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.87/0.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.87/0.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.87/0.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.87/0.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.87/0.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.87/0.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.87/0.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.87/0.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.87/0.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.87/0.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.87/0.65 \ / 1.87/0.65 4 is interpreted by 1.87/0.65 / \ 1.87/0.65 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 1.87/0.65 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 1.87/0.65 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 1.87/0.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.87/0.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.87/0.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.87/0.65 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 1.87/0.65 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 1.87/0.65 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 1.87/0.65 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 1.87/0.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.87/0.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.87/0.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.87/0.65 \ / 1.87/0.65 1.87/0.65 Remains to prove termination of the 2-rule system 1.87/0.65 { 3 2 0 4 2 3 0 3 3 0 4 4 -> 3 4 4 0 2 5 5 0 5 3 2 3 4 5 3 3 , 1.87/0.65 4 2 4 0 3 1 3 1 3 2 2 3 -> 4 5 1 0 1 3 4 5 5 4 5 2 4 4 5 5 5 2 } 1.87/0.65 1.87/0.65 1.87/0.65 The system was filtered by the following matrix interpretation 1.87/0.65 of type E_J with J = {1,...,2} and dimension 2: 1.87/0.65 1.87/0.65 0 is interpreted by 1.87/0.65 / \ 1.87/0.65 | 1 1 | 1.87/0.65 | 0 1 | 1.87/0.65 \ / 1.87/0.65 1 is interpreted by 1.87/0.65 / \ 1.87/0.65 | 1 0 | 1.87/0.65 | 0 1 | 1.87/0.65 \ / 1.87/0.65 2 is interpreted by 1.87/0.65 / \ 1.87/0.65 | 1 0 | 1.87/0.65 | 0 1 | 1.87/0.65 \ / 1.87/0.65 3 is interpreted by 1.87/0.65 / \ 1.87/0.65 | 1 0 | 1.87/0.65 | 0 1 | 1.87/0.65 \ / 1.87/0.65 5 is interpreted by 1.87/0.65 / \ 1.87/0.65 | 1 0 | 1.87/0.65 | 0 1 | 1.87/0.65 \ / 1.87/0.65 4 is interpreted by 1.87/0.65 / \ 1.87/0.65 | 1 0 | 1.87/0.65 | 0 1 | 1.87/0.65 \ / 1.87/0.65 1.87/0.65 Remains to prove termination of the 1-rule system 1.87/0.65 { 4 2 4 0 3 1 3 1 3 2 2 3 -> 4 5 1 0 1 3 4 5 5 4 5 2 4 4 5 5 5 2 } 1.87/0.65 1.87/0.65 1.87/0.65 The system was filtered by the following matrix interpretation 1.87/0.65 of type E_J with J = {1,...,2} and dimension 2: 1.87/0.65 1.87/0.65 0 is interpreted by 1.87/0.65 / \ 1.87/0.65 | 1 0 | 1.87/0.65 | 0 1 | 1.87/0.65 \ / 1.87/0.65 1 is interpreted by 1.87/0.65 / \ 1.87/0.65 | 1 0 | 1.87/0.65 | 0 1 | 1.87/0.65 \ / 1.87/0.65 2 is interpreted by 1.87/0.65 / \ 1.87/0.65 | 1 1 | 1.87/0.65 | 0 1 | 1.87/0.65 \ / 1.87/0.65 3 is interpreted by 1.87/0.65 / \ 1.87/0.65 | 1 0 | 1.87/0.65 | 0 1 | 1.87/0.65 \ / 1.87/0.65 5 is interpreted by 1.87/0.65 / \ 1.87/0.65 | 1 0 | 1.87/0.65 | 0 1 | 1.87/0.65 \ / 1.87/0.65 4 is interpreted by 1.87/0.65 / \ 1.87/0.65 | 1 0 | 1.87/0.65 | 0 1 | 1.87/0.65 \ / 1.87/0.65 1.87/0.65 Remains to prove termination of the 0-rule system 1.87/0.65 { } 1.87/0.65 1.87/0.65 1.87/0.65 The system is trivially terminating. 1.87/0.68 EOF