0.00/0.49 YES 1.38/0.55 1.38/0.55 1.38/0.55 1.38/0.55 1.38/0.55 The system was filtered by the following matrix interpretation 1.38/0.55 of type E_J with J = {1,...,2} and dimension 2: 1.38/0.55 1.38/0.55 0 is interpreted by 1.38/0.55 / \ 1.38/0.55 | 1 1 | 1.38/0.55 | 0 1 | 1.38/0.55 \ / 1.38/0.55 1 is interpreted by 1.38/0.55 / \ 1.38/0.55 | 1 1 | 1.38/0.55 | 0 1 | 1.38/0.55 \ / 1.38/0.55 2 is interpreted by 1.38/0.55 / \ 1.38/0.55 | 1 1 | 1.38/0.55 | 0 1 | 1.38/0.55 \ / 1.38/0.55 3 is interpreted by 1.38/0.55 / \ 1.38/0.55 | 1 1 | 1.38/0.55 | 0 1 | 1.38/0.55 \ / 1.38/0.55 4 is interpreted by 1.38/0.55 / \ 1.38/0.55 | 1 1 | 1.38/0.55 | 0 1 | 1.38/0.55 \ / 1.38/0.55 5 is interpreted by 1.38/0.55 / \ 1.38/0.55 | 1 1 | 1.38/0.55 | 0 1 | 1.38/0.55 \ / 1.38/0.55 1.38/0.55 Remains to prove termination of the 10-rule system 1.38/0.55 { 0 1 2 2 3 0 4 4 -> 0 4 5 0 3 4 0 4 , 1.38/0.55 0 2 2 2 0 5 2 5 4 -> 0 0 0 3 4 3 0 1 0 , 1.38/0.55 2 1 1 3 4 3 1 1 5 -> 1 0 2 3 1 0 5 1 5 , 1.38/0.55 5 4 0 4 3 3 1 2 5 3 0 -> 5 5 2 5 3 1 5 0 3 5 2 , 1.38/0.55 2 4 5 0 1 1 3 3 5 3 0 0 -> 4 4 2 2 1 0 4 0 1 3 2 0 , 1.38/0.55 3 0 0 4 2 5 5 1 3 0 2 3 3 5 1 4 5 -> 3 4 0 1 0 5 5 3 1 4 0 3 5 3 2 2 5 , 1.38/0.55 5 1 1 4 1 5 3 0 4 3 2 5 4 1 3 3 5 -> 5 0 1 0 4 0 2 4 5 1 5 4 1 5 3 3 5 , 1.38/0.55 0 1 4 4 3 2 0 4 1 4 3 4 4 1 5 3 4 4 -> 0 2 4 2 3 1 0 1 1 1 3 0 2 4 4 1 1 2 , 1.38/0.55 1 1 4 1 0 1 0 3 3 4 4 1 5 4 0 4 4 5 5 3 -> 1 3 0 3 2 2 4 4 2 0 3 3 4 0 3 0 4 3 4 0 , 1.38/0.55 3 3 2 2 3 3 4 0 0 0 2 5 0 5 3 0 0 1 1 4 -> 3 1 1 0 3 3 5 4 2 2 1 0 1 1 0 5 0 3 4 0 } 1.38/0.55 1.38/0.55 1.38/0.55 The system was filtered by the following matrix interpretation 1.38/0.55 of type E_J with J = {1,...,2} and dimension 2: 1.38/0.55 1.38/0.55 0 is interpreted by 1.38/0.55 / \ 1.38/0.55 | 1 1 | 1.38/0.55 | 0 1 | 1.38/0.55 \ / 1.38/0.55 1 is interpreted by 1.38/0.55 / \ 1.38/0.55 | 1 2 | 1.38/0.55 | 0 1 | 1.38/0.55 \ / 1.38/0.55 2 is interpreted by 1.38/0.55 / \ 1.38/0.55 | 1 2 | 1.38/0.55 | 0 1 | 1.38/0.55 \ / 1.38/0.55 3 is interpreted by 1.38/0.55 / \ 1.38/0.55 | 1 3 | 1.38/0.55 | 0 1 | 1.38/0.55 \ / 1.38/0.55 4 is interpreted by 1.38/0.55 / \ 1.38/0.55 | 1 3 | 1.38/0.55 | 0 1 | 1.38/0.55 \ / 1.38/0.55 5 is interpreted by 1.38/0.55 / \ 1.38/0.55 | 1 2 | 1.38/0.55 | 0 1 | 1.38/0.55 \ / 1.38/0.55 1.38/0.55 Remains to prove termination of the 5-rule system 1.38/0.55 { 0 1 2 2 3 0 4 4 -> 0 4 5 0 3 4 0 4 , 1.38/0.55 2 4 5 0 1 1 3 3 5 3 0 0 -> 4 4 2 2 1 0 4 0 1 3 2 0 , 1.38/0.55 3 0 0 4 2 5 5 1 3 0 2 3 3 5 1 4 5 -> 3 4 0 1 0 5 5 3 1 4 0 3 5 3 2 2 5 , 1.38/0.55 1 1 4 1 0 1 0 3 3 4 4 1 5 4 0 4 4 5 5 3 -> 1 3 0 3 2 2 4 4 2 0 3 3 4 0 3 0 4 3 4 0 , 1.38/0.55 3 3 2 2 3 3 4 0 0 0 2 5 0 5 3 0 0 1 1 4 -> 3 1 1 0 3 3 5 4 2 2 1 0 1 1 0 5 0 3 4 0 } 1.38/0.55 1.38/0.55 1.38/0.55 The system was filtered by the following matrix interpretation 1.38/0.55 of type E_J with J = {1,...,2} and dimension 2: 1.38/0.55 1.38/0.55 0 is interpreted by 1.38/0.55 / \ 1.38/0.55 | 1 2 | 1.38/0.55 | 0 1 | 1.38/0.55 \ / 1.38/0.55 1 is interpreted by 1.38/0.55 / \ 1.38/0.55 | 1 1 | 1.38/0.55 | 0 1 | 1.38/0.55 \ / 1.38/0.55 2 is interpreted by 1.38/0.55 / \ 1.38/0.55 | 1 2 | 1.38/0.55 | 0 1 | 1.38/0.55 \ / 1.38/0.55 3 is interpreted by 1.38/0.55 / \ 1.38/0.55 | 1 0 | 1.38/0.55 | 0 1 | 1.38/0.55 \ / 1.38/0.55 4 is interpreted by 1.38/0.55 / \ 1.38/0.55 | 1 0 | 1.38/0.55 | 0 1 | 1.38/0.55 \ / 1.38/0.55 5 is interpreted by 1.38/0.55 / \ 1.38/0.55 | 1 2 | 1.38/0.55 | 0 1 | 1.38/0.55 \ / 1.38/0.55 1.38/0.55 Remains to prove termination of the 3-rule system 1.38/0.55 { 2 4 5 0 1 1 3 3 5 3 0 0 -> 4 4 2 2 1 0 4 0 1 3 2 0 , 1.38/0.55 3 0 0 4 2 5 5 1 3 0 2 3 3 5 1 4 5 -> 3 4 0 1 0 5 5 3 1 4 0 3 5 3 2 2 5 , 1.38/0.55 1 1 4 1 0 1 0 3 3 4 4 1 5 4 0 4 4 5 5 3 -> 1 3 0 3 2 2 4 4 2 0 3 3 4 0 3 0 4 3 4 0 } 1.38/0.55 1.38/0.55 1.38/0.55 The system was filtered by the following matrix interpretation 1.38/0.55 of type E_J with J = {1,...,2} and dimension 2: 1.38/0.55 1.38/0.55 0 is interpreted by 1.38/0.55 / \ 1.38/0.55 | 1 0 | 1.38/0.55 | 0 1 | 1.38/0.55 \ / 1.38/0.55 1 is interpreted by 1.38/0.55 / \ 1.38/0.55 | 1 1 | 1.38/0.55 | 0 1 | 1.38/0.55 \ / 1.38/0.55 2 is interpreted by 1.38/0.55 / \ 1.38/0.55 | 1 0 | 1.38/0.55 | 0 1 | 1.38/0.55 \ / 1.38/0.55 3 is interpreted by 1.38/0.55 / \ 1.38/0.55 | 1 0 | 1.38/0.55 | 0 1 | 1.38/0.55 \ / 1.38/0.55 4 is interpreted by 1.38/0.55 / \ 1.38/0.55 | 1 0 | 1.38/0.55 | 0 1 | 1.38/0.55 \ / 1.38/0.55 5 is interpreted by 1.38/0.55 / \ 1.38/0.55 | 1 0 | 1.38/0.55 | 0 1 | 1.38/0.55 \ / 1.38/0.55 1.38/0.55 Remains to prove termination of the 2-rule system 1.38/0.55 { 2 4 5 0 1 1 3 3 5 3 0 0 -> 4 4 2 2 1 0 4 0 1 3 2 0 , 1.38/0.55 3 0 0 4 2 5 5 1 3 0 2 3 3 5 1 4 5 -> 3 4 0 1 0 5 5 3 1 4 0 3 5 3 2 2 5 } 1.38/0.55 1.38/0.55 1.38/0.55 The system was filtered by the following matrix interpretation 1.38/0.55 of type E_J with J = {1,...,2} and dimension 2: 1.38/0.55 1.38/0.55 0 is interpreted by 1.38/0.55 / \ 1.38/0.55 | 1 0 | 1.38/0.55 | 0 1 | 1.38/0.55 \ / 1.38/0.55 1 is interpreted by 1.38/0.55 / \ 1.38/0.55 | 1 0 | 1.38/0.55 | 0 1 | 1.38/0.55 \ / 1.38/0.55 2 is interpreted by 1.38/0.55 / \ 1.38/0.55 | 1 0 | 1.38/0.55 | 0 1 | 1.38/0.55 \ / 1.38/0.55 3 is interpreted by 1.38/0.55 / \ 1.38/0.55 | 1 1 | 1.38/0.55 | 0 1 | 1.38/0.55 \ / 1.38/0.55 4 is interpreted by 1.38/0.55 / \ 1.38/0.55 | 1 0 | 1.38/0.55 | 0 1 | 1.38/0.55 \ / 1.38/0.55 5 is interpreted by 1.38/0.55 / \ 1.38/0.55 | 1 0 | 1.38/0.55 | 0 1 | 1.38/0.55 \ / 1.38/0.55 1.38/0.55 Remains to prove termination of the 1-rule system 1.38/0.55 { 3 0 0 4 2 5 5 1 3 0 2 3 3 5 1 4 5 -> 3 4 0 1 0 5 5 3 1 4 0 3 5 3 2 2 5 } 1.38/0.55 1.38/0.55 1.38/0.55 The system was filtered by the following matrix interpretation 1.38/0.55 of type E_J with J = {1,...,2} and dimension 18: 1.38/0.55 1.38/0.55 0 is interpreted by 1.38/0.55 / \ 1.38/0.55 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.38/0.55 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.38/0.55 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.38/0.55 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.38/0.55 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.38/0.55 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.38/0.55 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.38/0.55 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.38/0.55 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.38/0.55 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.38/0.55 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 1.38/0.55 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.38/0.55 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.38/0.55 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.38/0.55 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.38/0.55 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.38/0.55 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.38/0.55 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.38/0.55 \ / 1.38/0.55 1 is interpreted by 1.38/0.55 / \ 1.38/0.55 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.38/0.55 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.38/0.55 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.38/0.55 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.38/0.55 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.38/0.55 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.38/0.55 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.38/0.55 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.38/0.55 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 1.38/0.55 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.38/0.55 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.38/0.55 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.38/0.55 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.38/0.55 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.38/0.55 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.38/0.55 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 1.38/0.55 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.38/0.55 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.38/0.55 \ / 1.38/0.55 2 is interpreted by 1.38/0.55 / \ 1.38/0.55 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.38/0.55 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.38/0.55 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.38/0.55 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.38/0.55 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.38/0.55 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 1.38/0.55 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.38/0.55 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.38/0.55 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.38/0.55 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.38/0.55 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.38/0.55 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 1.38/0.55 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.38/0.55 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.38/0.55 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.38/0.55 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.38/0.55 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.38/0.55 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.38/0.55 \ / 1.38/0.55 3 is interpreted by 1.38/0.55 / \ 1.38/0.55 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.38/0.55 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.38/0.55 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.38/0.55 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.38/0.55 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.38/0.55 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.38/0.55 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.38/0.55 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.38/0.55 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.38/0.55 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 1.38/0.55 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.38/0.55 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.38/0.55 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 1.38/0.55 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 1.38/0.55 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.38/0.55 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.38/0.55 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.38/0.55 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.38/0.55 \ / 1.38/0.55 4 is interpreted by 1.38/0.55 / \ 1.38/0.55 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.38/0.55 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.38/0.55 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.38/0.55 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.38/0.55 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 1.38/0.55 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.38/0.55 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.38/0.55 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.38/0.55 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.38/0.55 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.38/0.55 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.38/0.55 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.38/0.55 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.38/0.55 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.38/0.55 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.38/0.55 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.38/0.55 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 1.38/0.55 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.38/0.55 \ / 1.38/0.55 5 is interpreted by 1.38/0.55 / \ 1.38/0.55 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.38/0.55 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.38/0.55 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.38/0.55 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.38/0.55 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.38/0.55 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.38/0.55 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 1.38/0.55 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 1.38/0.55 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.38/0.55 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.38/0.55 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.38/0.55 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.38/0.55 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.38/0.55 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.38/0.55 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 1.38/0.55 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.38/0.55 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.38/0.55 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.38/0.55 \ / 1.38/0.55 1.38/0.55 Remains to prove termination of the 0-rule system 1.38/0.55 { } 1.38/0.55 1.38/0.55 1.38/0.55 The system is trivially terminating. 1.38/0.59 EOF