2.66/0.92 YES 2.82/1.00 2.82/1.00 2.82/1.00 2.82/1.00 2.82/1.00 The system was filtered by the following matrix interpretation 2.82/1.00 of type E_J with J = {1,...,2} and dimension 2: 2.82/1.00 2.82/1.00 0 is interpreted by 2.82/1.00 / \ 2.82/1.00 | 1 4 | 2.82/1.00 | 0 1 | 2.82/1.00 \ / 2.82/1.00 1 is interpreted by 2.82/1.00 / \ 2.82/1.00 | 1 6 | 2.82/1.00 | 0 1 | 2.82/1.00 \ / 2.82/1.00 2 is interpreted by 2.82/1.00 / \ 2.82/1.00 | 1 4 | 2.82/1.00 | 0 1 | 2.82/1.00 \ / 2.82/1.00 3 is interpreted by 2.82/1.00 / \ 2.82/1.00 | 1 5 | 2.82/1.00 | 0 1 | 2.82/1.00 \ / 2.82/1.00 4 is interpreted by 2.82/1.00 / \ 2.82/1.00 | 1 3 | 2.82/1.00 | 0 1 | 2.82/1.00 \ / 2.82/1.00 5 is interpreted by 2.82/1.00 / \ 2.82/1.00 | 1 3 | 2.82/1.00 | 0 1 | 2.82/1.00 \ / 2.82/1.00 2.82/1.00 Remains to prove termination of the 4-rule system 2.82/1.00 { 0 2 4 3 4 1 3 5 5 5 5 4 1 4 0 4 -> 0 4 4 1 5 5 5 4 1 3 2 0 4 3 5 4 , 2.82/1.00 1 4 3 0 0 2 0 1 2 1 2 4 1 5 4 5 -> 3 1 1 3 2 0 0 5 2 3 4 5 5 5 1 0 , 2.82/1.00 1 5 2 3 4 3 1 4 3 0 3 5 4 4 2 2 -> 2 5 0 2 0 3 3 4 1 2 5 1 5 0 0 2 , 2.82/1.00 1 5 2 3 4 3 1 4 3 0 3 5 4 4 2 2 -> 3 4 3 3 4 1 4 1 0 0 5 1 5 4 5 2 } 2.82/1.00 2.82/1.00 2.82/1.00 The system was filtered by the following matrix interpretation 2.82/1.00 of type E_J with J = {1,...,2} and dimension 2: 2.82/1.00 2.82/1.00 0 is interpreted by 2.82/1.00 / \ 2.82/1.00 | 1 0 | 2.82/1.00 | 0 1 | 2.82/1.00 \ / 2.82/1.00 1 is interpreted by 2.82/1.00 / \ 2.82/1.00 | 1 0 | 2.82/1.00 | 0 1 | 2.82/1.00 \ / 2.82/1.00 2 is interpreted by 2.82/1.00 / \ 2.82/1.00 | 1 0 | 2.82/1.00 | 0 1 | 2.82/1.00 \ / 2.82/1.00 3 is interpreted by 2.82/1.00 / \ 2.82/1.00 | 1 0 | 2.82/1.00 | 0 1 | 2.82/1.00 \ / 2.82/1.00 4 is interpreted by 2.82/1.00 / \ 2.82/1.00 | 1 1 | 2.82/1.00 | 0 1 | 2.82/1.00 \ / 2.82/1.00 5 is interpreted by 2.82/1.00 / \ 2.82/1.00 | 1 0 | 2.82/1.00 | 0 1 | 2.82/1.00 \ / 2.82/1.00 2.82/1.00 Remains to prove termination of the 2-rule system 2.82/1.00 { 0 2 4 3 4 1 3 5 5 5 5 4 1 4 0 4 -> 0 4 4 1 5 5 5 4 1 3 2 0 4 3 5 4 , 2.82/1.00 1 5 2 3 4 3 1 4 3 0 3 5 4 4 2 2 -> 3 4 3 3 4 1 4 1 0 0 5 1 5 4 5 2 } 2.82/1.00 2.82/1.00 2.82/1.00 The system was filtered by the following matrix interpretation 2.82/1.00 of type E_J with J = {1,...,2} and dimension 2: 2.82/1.00 2.82/1.00 0 is interpreted by 2.82/1.00 / \ 2.82/1.00 | 1 0 | 2.82/1.00 | 0 1 | 2.82/1.00 \ / 2.82/1.00 1 is interpreted by 2.82/1.00 / \ 2.82/1.00 | 1 0 | 2.82/1.00 | 0 1 | 2.82/1.00 \ / 2.82/1.00 2 is interpreted by 2.82/1.00 / \ 2.82/1.00 | 1 1 | 2.82/1.00 | 0 1 | 2.82/1.00 \ / 2.82/1.00 3 is interpreted by 2.82/1.00 / \ 2.82/1.00 | 1 0 | 2.82/1.00 | 0 1 | 2.82/1.00 \ / 2.82/1.00 4 is interpreted by 2.82/1.00 / \ 2.82/1.00 | 1 0 | 2.82/1.00 | 0 1 | 2.82/1.00 \ / 2.82/1.00 5 is interpreted by 2.82/1.00 / \ 2.82/1.00 | 1 0 | 2.82/1.00 | 0 1 | 2.82/1.00 \ / 2.82/1.00 2.82/1.00 Remains to prove termination of the 1-rule system 2.82/1.00 { 0 2 4 3 4 1 3 5 5 5 5 4 1 4 0 4 -> 0 4 4 1 5 5 5 4 1 3 2 0 4 3 5 4 } 2.82/1.00 2.82/1.00 2.82/1.00 The system was filtered by the following matrix interpretation 2.82/1.00 of type E_J with J = {1,...,2} and dimension 17: 2.82/1.00 2.82/1.00 0 is interpreted by 2.82/1.00 / \ 2.82/1.00 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.82/1.00 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.82/1.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.82/1.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.82/1.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.82/1.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.82/1.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.82/1.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.82/1.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.82/1.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.82/1.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.82/1.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.82/1.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.82/1.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.82/1.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.82/1.00 | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 2.82/1.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.82/1.00 \ / 2.82/1.00 1 is interpreted by 2.82/1.00 / \ 2.82/1.00 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.82/1.00 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.82/1.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.82/1.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.82/1.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.82/1.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.82/1.00 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 2.82/1.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.82/1.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.82/1.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.82/1.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.82/1.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.82/1.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.82/1.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 2.82/1.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.82/1.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.82/1.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.82/1.00 \ / 2.82/1.00 2 is interpreted by 2.82/1.00 / \ 2.82/1.00 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.82/1.00 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.82/1.00 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.82/1.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.82/1.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.82/1.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.82/1.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.82/1.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.82/1.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.82/1.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.82/1.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.82/1.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.82/1.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.82/1.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.82/1.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.82/1.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.82/1.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.82/1.00 \ / 2.82/1.00 3 is interpreted by 2.82/1.00 / \ 2.82/1.00 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.82/1.00 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.82/1.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.82/1.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.82/1.00 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 2.82/1.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.82/1.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.82/1.00 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 2.82/1.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.82/1.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.82/1.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.82/1.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.82/1.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.82/1.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.82/1.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.82/1.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.82/1.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.82/1.00 \ / 2.82/1.00 4 is interpreted by 2.82/1.00 / \ 2.82/1.00 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.82/1.00 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.82/1.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.82/1.00 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 2.82/1.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.82/1.00 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 2.82/1.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.82/1.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.82/1.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.82/1.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.82/1.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.82/1.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.82/1.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 2.82/1.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.82/1.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 2.82/1.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.82/1.00 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.82/1.00 \ / 2.82/1.00 5 is interpreted by 2.82/1.00 / \ 2.82/1.00 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.82/1.00 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.82/1.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.82/1.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.82/1.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.82/1.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.82/1.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.82/1.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.82/1.00 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 2.82/1.00 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 2.82/1.00 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 2.82/1.00 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 2.82/1.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.82/1.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.82/1.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.82/1.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.82/1.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.82/1.00 \ / 2.82/1.00 2.82/1.00 Remains to prove termination of the 0-rule system 2.82/1.00 { } 2.82/1.00 2.82/1.00 2.82/1.00 The system is trivially terminating. 6.41/4.11 EOF