2.31/0.79 YES 2.31/0.84 2.31/0.84 2.31/0.84 The system was filtered by the following matrix interpretation 2.31/0.84 of type E_J with J = {1,...,2} and dimension 3: 2.31/0.84 2.31/0.84 0 is interpreted by 2.31/0.84 / \ 2.31/0.84 | 1 0 1 | 2.31/0.84 | 0 1 0 | 2.31/0.84 | 0 0 0 | 2.31/0.84 \ / 2.31/0.84 4 is interpreted by 2.31/0.84 / \ 2.31/0.84 | 1 0 0 | 2.31/0.84 | 0 1 0 | 2.31/0.84 | 0 1 0 | 2.31/0.84 \ / 2.31/0.84 1 is interpreted by 2.31/0.84 / \ 2.31/0.84 | 1 0 0 | 2.31/0.84 | 0 1 0 | 2.31/0.84 | 0 0 0 | 2.31/0.84 \ / 2.31/0.84 2 is interpreted by 2.31/0.84 / \ 2.31/0.84 | 1 0 0 | 2.31/0.84 | 0 1 0 | 2.31/0.84 | 0 0 0 | 2.31/0.84 \ / 2.31/0.84 3 is interpreted by 2.31/0.84 / \ 2.31/0.84 | 1 0 0 | 2.31/0.84 | 0 1 0 | 2.31/0.84 | 0 0 0 | 2.31/0.84 \ / 2.31/0.84 5 is interpreted by 2.31/0.84 / \ 2.31/0.84 | 1 0 0 | 2.31/0.84 | 0 1 0 | 2.31/0.84 | 0 0 0 | 2.31/0.84 \ / 2.31/0.84 2.31/0.84 Remains to prove termination of the 16-rule system 2.31/0.84 { 0 1 1 -> 0 2 2 1 1 1 , 2.31/0.84 0 1 3 -> 0 2 4 3 4 4 , 2.31/0.84 0 2 4 -> 1 5 4 3 4 4 , 2.31/0.84 1 2 3 -> 5 1 4 1 4 4 , 2.31/0.84 1 3 3 -> 0 2 1 1 0 5 , 2.31/0.84 1 3 3 -> 5 4 0 3 2 3 , 2.31/0.84 1 3 5 -> 1 1 4 3 3 2 , 2.31/0.84 2 0 0 -> 2 4 3 4 4 4 , 2.31/0.84 2 0 1 -> 2 1 5 1 0 1 , 2.31/0.84 2 0 1 -> 2 4 3 5 2 3 , 2.31/0.84 3 0 1 -> 3 1 4 3 4 1 , 2.31/0.84 3 0 5 -> 3 1 0 2 3 2 , 2.31/0.84 4 0 0 -> 2 5 2 1 1 1 , 2.31/0.84 4 0 5 -> 4 1 4 5 1 4 , 2.31/0.84 4 0 5 -> 4 2 1 4 3 5 , 2.31/0.84 5 0 2 -> 1 5 2 1 0 2 } 2.31/0.84 2.31/0.84 2.31/0.84 The system was filtered by the following matrix interpretation 2.31/0.84 of type E_J with J = {1,...,2} and dimension 4: 2.31/0.84 2.31/0.84 0 is interpreted by 2.31/0.84 / \ 2.31/0.84 | 1 0 1 0 | 2.31/0.84 | 0 1 0 0 | 2.31/0.84 | 0 0 0 0 | 2.31/0.84 | 0 0 0 0 | 2.31/0.84 \ / 2.31/0.84 4 is interpreted by 2.31/0.84 / \ 2.31/0.84 | 1 0 0 0 | 2.31/0.84 | 0 1 0 0 | 2.31/0.84 | 0 0 0 0 | 2.31/0.84 | 0 0 0 0 | 2.31/0.84 \ / 2.31/0.84 1 is interpreted by 2.31/0.84 / \ 2.31/0.84 | 1 0 0 0 | 2.31/0.84 | 0 1 0 0 | 2.31/0.84 | 0 0 0 1 | 2.31/0.84 | 0 0 0 0 | 2.31/0.84 \ / 2.31/0.84 2 is interpreted by 2.31/0.84 / \ 2.31/0.84 | 1 0 0 0 | 2.31/0.84 | 0 1 0 0 | 2.31/0.84 | 0 0 0 0 | 2.31/0.84 | 0 0 0 0 | 2.31/0.84 \ / 2.31/0.84 3 is interpreted by 2.31/0.84 / \ 2.31/0.84 | 1 0 0 0 | 2.31/0.84 | 0 1 0 0 | 2.31/0.84 | 0 0 0 0 | 2.31/0.84 | 0 1 0 0 | 2.31/0.84 \ / 2.31/0.84 5 is interpreted by 2.31/0.84 / \ 2.31/0.84 | 1 0 0 0 | 2.31/0.84 | 0 1 0 0 | 2.31/0.84 | 0 0 0 0 | 2.31/0.84 | 0 0 0 0 | 2.31/0.84 \ / 2.31/0.84 2.31/0.84 Remains to prove termination of the 15-rule system 2.31/0.84 { 0 1 1 -> 0 2 2 1 1 1 , 2.31/0.84 0 2 4 -> 1 5 4 3 4 4 , 2.31/0.84 1 2 3 -> 5 1 4 1 4 4 , 2.31/0.84 1 3 3 -> 0 2 1 1 0 5 , 2.31/0.84 1 3 3 -> 5 4 0 3 2 3 , 2.31/0.84 1 3 5 -> 1 1 4 3 3 2 , 2.31/0.84 2 0 0 -> 2 4 3 4 4 4 , 2.31/0.84 2 0 1 -> 2 1 5 1 0 1 , 2.31/0.84 2 0 1 -> 2 4 3 5 2 3 , 2.31/0.84 3 0 1 -> 3 1 4 3 4 1 , 2.31/0.84 3 0 5 -> 3 1 0 2 3 2 , 2.31/0.84 4 0 0 -> 2 5 2 1 1 1 , 2.31/0.84 4 0 5 -> 4 1 4 5 1 4 , 2.31/0.84 4 0 5 -> 4 2 1 4 3 5 , 2.31/0.84 5 0 2 -> 1 5 2 1 0 2 } 2.31/0.84 2.31/0.84 2.31/0.84 The system was filtered by the following matrix interpretation 2.31/0.84 of type E_J with J = {1,...,2} and dimension 4: 2.31/0.84 2.31/0.84 0 is interpreted by 2.31/0.84 / \ 2.31/0.84 | 1 0 1 0 | 2.31/0.84 | 0 1 0 0 | 2.31/0.84 | 0 0 0 0 | 2.31/0.84 | 0 0 0 0 | 2.31/0.84 \ / 2.31/0.84 4 is interpreted by 2.31/0.84 / \ 2.31/0.84 | 1 0 0 0 | 2.31/0.84 | 0 1 0 0 | 2.31/0.84 | 0 0 0 0 | 2.31/0.84 | 0 0 0 0 | 2.31/0.84 \ / 2.31/0.84 1 is interpreted by 2.31/0.84 / \ 2.31/0.84 | 1 0 1 0 | 2.31/0.84 | 0 1 0 0 | 2.31/0.84 | 0 0 0 0 | 2.31/0.84 | 0 0 0 0 | 2.31/0.84 \ / 2.31/0.84 2 is interpreted by 2.31/0.84 / \ 2.31/0.84 | 1 0 0 0 | 2.31/0.84 | 0 1 0 0 | 2.31/0.84 | 0 0 0 0 | 2.31/0.84 | 0 0 0 0 | 2.31/0.84 \ / 2.31/0.84 3 is interpreted by 2.31/0.84 / \ 2.31/0.84 | 1 0 0 0 | 2.31/0.84 | 0 1 0 0 | 2.31/0.84 | 0 0 0 1 | 2.31/0.84 | 0 1 0 0 | 2.31/0.84 \ / 2.31/0.84 5 is interpreted by 2.31/0.84 / \ 2.31/0.84 | 1 0 0 0 | 2.31/0.84 | 0 1 0 0 | 2.31/0.84 | 0 0 0 0 | 2.31/0.84 | 0 0 0 0 | 2.31/0.84 \ / 2.31/0.84 2.31/0.84 Remains to prove termination of the 13-rule system 2.31/0.84 { 0 1 1 -> 0 2 2 1 1 1 , 2.31/0.84 0 2 4 -> 1 5 4 3 4 4 , 2.31/0.84 1 2 3 -> 5 1 4 1 4 4 , 2.31/0.84 1 3 5 -> 1 1 4 3 3 2 , 2.31/0.84 2 0 0 -> 2 4 3 4 4 4 , 2.31/0.84 2 0 1 -> 2 1 5 1 0 1 , 2.31/0.84 2 0 1 -> 2 4 3 5 2 3 , 2.31/0.84 3 0 1 -> 3 1 4 3 4 1 , 2.31/0.84 3 0 5 -> 3 1 0 2 3 2 , 2.31/0.84 4 0 0 -> 2 5 2 1 1 1 , 2.31/0.84 4 0 5 -> 4 1 4 5 1 4 , 2.31/0.84 4 0 5 -> 4 2 1 4 3 5 , 2.31/0.84 5 0 2 -> 1 5 2 1 0 2 } 2.31/0.84 2.31/0.84 2.31/0.84 The system was filtered by the following matrix interpretation 2.31/0.84 of type E_J with J = {1,...,2} and dimension 2: 2.31/0.84 2.31/0.84 0 is interpreted by 2.31/0.84 / \ 2.31/0.84 | 1 1 | 2.31/0.84 | 0 1 | 2.31/0.84 \ / 2.31/0.84 4 is interpreted by 2.31/0.84 / \ 2.31/0.84 | 1 0 | 2.31/0.84 | 0 1 | 2.31/0.84 \ / 2.31/0.84 1 is interpreted by 2.31/0.84 / \ 2.31/0.84 | 1 0 | 2.31/0.84 | 0 1 | 2.31/0.84 \ / 2.31/0.84 2 is interpreted by 2.31/0.84 / \ 2.31/0.84 | 1 0 | 2.31/0.84 | 0 1 | 2.31/0.84 \ / 2.31/0.84 3 is interpreted by 2.31/0.84 / \ 2.31/0.84 | 1 0 | 2.31/0.84 | 0 1 | 2.31/0.84 \ / 2.31/0.84 5 is interpreted by 2.31/0.84 / \ 2.31/0.84 | 1 0 | 2.31/0.84 | 0 1 | 2.31/0.84 \ / 2.31/0.84 2.31/0.84 Remains to prove termination of the 6-rule system 2.31/0.84 { 0 1 1 -> 0 2 2 1 1 1 , 2.31/0.84 1 2 3 -> 5 1 4 1 4 4 , 2.31/0.84 1 3 5 -> 1 1 4 3 3 2 , 2.31/0.84 2 0 1 -> 2 1 5 1 0 1 , 2.31/0.84 3 0 5 -> 3 1 0 2 3 2 , 2.31/0.84 5 0 2 -> 1 5 2 1 0 2 } 2.31/0.84 2.31/0.84 2.31/0.84 The system was filtered by the following matrix interpretation 2.31/0.84 of type E_J with J = {1,...,2} and dimension 4: 2.31/0.84 2.31/0.84 0 is interpreted by 2.31/0.84 / \ 2.31/0.84 | 1 0 0 0 | 2.31/0.84 | 0 1 0 0 | 2.31/0.84 | 0 0 0 0 | 2.31/0.84 | 0 0 0 0 | 2.31/0.84 \ / 2.31/0.84 4 is interpreted by 2.31/0.84 / \ 2.31/0.84 | 1 0 0 0 | 2.31/0.84 | 0 1 0 0 | 2.31/0.84 | 0 0 0 0 | 2.31/0.84 | 0 0 0 0 | 2.31/0.84 \ / 2.31/0.84 1 is interpreted by 2.31/0.84 / \ 2.31/0.84 | 1 0 1 0 | 2.31/0.84 | 0 1 0 0 | 2.31/0.84 | 0 0 0 0 | 2.31/0.84 | 0 0 0 0 | 2.31/0.84 \ / 2.31/0.84 2 is interpreted by 2.31/0.84 / \ 2.31/0.84 | 1 0 0 0 | 2.31/0.84 | 0 1 0 0 | 2.31/0.84 | 0 0 0 1 | 2.31/0.84 | 0 0 0 0 | 2.31/0.84 \ / 2.31/0.84 3 is interpreted by 2.31/0.84 / \ 2.31/0.84 | 1 0 0 0 | 2.31/0.84 | 0 1 0 0 | 2.31/0.84 | 0 0 0 0 | 2.31/0.84 | 0 1 0 0 | 2.31/0.84 \ / 2.31/0.84 5 is interpreted by 2.31/0.84 / \ 2.31/0.84 | 1 0 0 0 | 2.31/0.84 | 0 1 0 0 | 2.31/0.84 | 0 0 0 0 | 2.31/0.84 | 0 0 0 0 | 2.31/0.84 \ / 2.31/0.84 2.31/0.84 Remains to prove termination of the 5-rule system 2.31/0.84 { 0 1 1 -> 0 2 2 1 1 1 , 2.31/0.84 1 3 5 -> 1 1 4 3 3 2 , 2.31/0.84 2 0 1 -> 2 1 5 1 0 1 , 2.31/0.84 3 0 5 -> 3 1 0 2 3 2 , 2.31/0.84 5 0 2 -> 1 5 2 1 0 2 } 2.31/0.84 2.31/0.84 2.31/0.84 The system was filtered by the following matrix interpretation 2.31/0.84 of type E_J with J = {1,...,2} and dimension 4: 2.31/0.84 2.31/0.84 0 is interpreted by 2.31/0.84 / \ 2.31/0.84 | 1 0 0 0 | 2.31/0.84 | 0 1 0 0 | 2.31/0.84 | 0 0 0 0 | 2.31/0.84 | 0 0 0 0 | 2.31/0.84 \ / 2.31/0.84 4 is interpreted by 2.31/0.84 / \ 2.31/0.84 | 1 0 0 0 | 2.31/0.84 | 0 1 0 0 | 2.31/0.84 | 0 0 0 0 | 2.31/0.84 | 0 0 0 0 | 2.31/0.84 \ / 2.31/0.84 1 is interpreted by 2.31/0.84 / \ 2.31/0.84 | 1 0 1 0 | 2.31/0.84 | 0 1 0 0 | 2.31/0.84 | 0 0 0 0 | 2.31/0.84 | 0 0 0 0 | 2.31/0.84 \ / 2.31/0.84 2 is interpreted by 2.31/0.84 / \ 2.31/0.84 | 1 0 0 0 | 2.31/0.84 | 0 1 0 0 | 2.31/0.84 | 0 0 0 0 | 2.31/0.84 | 0 0 0 0 | 2.31/0.84 \ / 2.31/0.84 3 is interpreted by 2.31/0.84 / \ 2.31/0.84 | 1 0 0 0 | 2.31/0.84 | 0 1 0 0 | 2.31/0.84 | 0 0 0 1 | 2.31/0.84 | 0 0 0 0 | 2.31/0.84 \ / 2.31/0.84 5 is interpreted by 2.31/0.84 / \ 2.31/0.84 | 1 0 0 0 | 2.31/0.84 | 0 1 0 0 | 2.31/0.84 | 0 0 0 0 | 2.31/0.84 | 0 1 0 0 | 2.31/0.84 \ / 2.31/0.84 2.31/0.84 Remains to prove termination of the 4-rule system 2.31/0.84 { 0 1 1 -> 0 2 2 1 1 1 , 2.31/0.84 2 0 1 -> 2 1 5 1 0 1 , 2.31/0.84 3 0 5 -> 3 1 0 2 3 2 , 2.31/0.84 5 0 2 -> 1 5 2 1 0 2 } 2.31/0.84 2.31/0.84 2.31/0.84 The system was filtered by the following matrix interpretation 2.31/0.84 of type E_J with J = {1,...,2} and dimension 4: 2.31/0.84 2.31/0.84 0 is interpreted by 2.31/0.84 / \ 2.31/0.84 | 1 0 0 0 | 2.31/0.84 | 0 1 0 0 | 2.31/0.84 | 0 0 0 1 | 2.31/0.84 | 0 0 0 0 | 2.31/0.84 \ / 2.31/0.84 4 is interpreted by 2.31/0.84 / \ 2.31/0.84 | 1 0 0 0 | 2.31/0.84 | 0 1 0 0 | 2.31/0.84 | 0 0 0 0 | 2.31/0.84 | 0 0 0 0 | 2.31/0.84 \ / 2.31/0.84 1 is interpreted by 2.31/0.84 / \ 2.31/0.84 | 1 0 0 0 | 2.31/0.84 | 0 1 0 0 | 2.31/0.84 | 0 0 0 0 | 2.31/0.84 | 0 0 0 0 | 2.31/0.84 \ / 2.31/0.84 2 is interpreted by 2.31/0.84 / \ 2.31/0.84 | 1 0 0 0 | 2.31/0.84 | 0 1 0 0 | 2.31/0.84 | 0 0 0 0 | 2.31/0.84 | 0 0 0 0 | 2.31/0.84 \ / 2.31/0.84 3 is interpreted by 2.31/0.84 / \ 2.31/0.84 | 1 0 1 0 | 2.31/0.84 | 0 1 0 0 | 2.31/0.84 | 0 0 0 0 | 2.31/0.84 | 0 0 0 0 | 2.31/0.84 \ / 2.31/0.84 5 is interpreted by 2.31/0.84 / \ 2.31/0.84 | 1 0 0 0 | 2.31/0.84 | 0 1 0 0 | 2.31/0.84 | 0 0 0 0 | 2.31/0.84 | 0 1 0 0 | 2.31/0.84 \ / 2.31/0.84 2.31/0.84 Remains to prove termination of the 3-rule system 2.31/0.84 { 0 1 1 -> 0 2 2 1 1 1 , 2.31/0.84 2 0 1 -> 2 1 5 1 0 1 , 2.31/0.84 5 0 2 -> 1 5 2 1 0 2 } 2.31/0.84 2.31/0.84 2.31/0.84 The system was filtered by the following matrix interpretation 2.31/0.84 of type E_J with J = {1,...,2} and dimension 4: 2.31/0.84 2.31/0.84 0 is interpreted by 2.31/0.84 / \ 2.31/0.84 | 1 0 0 0 | 2.31/0.84 | 0 1 0 0 | 2.31/0.84 | 0 0 0 1 | 2.31/0.84 | 0 0 0 0 | 2.31/0.84 \ / 2.31/0.84 4 is interpreted by 2.31/0.84 / \ 2.31/0.84 | 1 0 0 0 | 2.31/0.84 | 0 1 0 0 | 2.31/0.84 | 0 0 0 0 | 2.31/0.84 | 0 0 0 0 | 2.31/0.84 \ / 2.31/0.84 1 is interpreted by 2.31/0.84 / \ 2.31/0.84 | 1 0 0 0 | 2.31/0.84 | 0 1 0 0 | 2.31/0.84 | 0 0 0 0 | 2.31/0.84 | 0 1 0 0 | 2.31/0.84 \ / 2.31/0.84 2 is interpreted by 2.31/0.84 / \ 2.31/0.84 | 1 0 1 0 | 2.31/0.84 | 0 1 0 0 | 2.31/0.84 | 0 0 0 0 | 2.31/0.84 | 0 0 0 0 | 2.31/0.84 \ / 2.31/0.84 3 is interpreted by 2.31/0.84 / \ 2.31/0.84 | 1 0 0 0 | 2.31/0.84 | 0 1 0 0 | 2.31/0.84 | 0 0 0 0 | 2.31/0.84 | 0 0 0 0 | 2.31/0.84 \ / 2.31/0.84 5 is interpreted by 2.31/0.84 / \ 2.31/0.84 | 1 0 0 0 | 2.31/0.84 | 0 1 0 0 | 2.31/0.84 | 0 0 0 0 | 2.31/0.84 | 0 1 0 0 | 2.31/0.84 \ / 2.31/0.84 2.31/0.84 Remains to prove termination of the 2-rule system 2.31/0.84 { 0 1 1 -> 0 2 2 1 1 1 , 2.31/0.84 5 0 2 -> 1 5 2 1 0 2 } 2.31/0.84 2.31/0.84 2.31/0.84 The system was filtered by the following matrix interpretation 2.31/0.84 of type E_J with J = {1,...,2} and dimension 6: 2.31/0.84 2.31/0.84 0 is interpreted by 2.31/0.84 / \ 2.31/0.84 | 1 0 1 0 0 0 | 2.31/0.84 | 0 1 0 0 0 0 | 2.31/0.84 | 0 0 0 0 0 0 | 2.31/0.84 | 0 0 0 0 0 0 | 2.31/0.84 | 0 0 1 0 0 1 | 2.31/0.84 | 0 0 0 0 0 0 | 2.31/0.84 \ / 2.31/0.84 4 is interpreted by 2.31/0.84 / \ 2.31/0.84 | 1 0 0 0 0 0 | 2.31/0.84 | 0 1 0 0 0 0 | 2.31/0.84 | 0 0 0 0 0 0 | 2.31/0.84 | 0 0 0 0 0 0 | 2.31/0.84 | 0 0 0 0 0 0 | 2.31/0.84 | 0 0 0 0 0 0 | 2.31/0.84 \ / 2.31/0.84 1 is interpreted by 2.31/0.84 / \ 2.31/0.84 | 1 0 0 0 0 0 | 2.31/0.84 | 0 1 0 0 0 0 | 2.31/0.84 | 0 0 0 1 0 0 | 2.31/0.84 | 0 1 0 0 0 0 | 2.31/0.84 | 0 0 0 0 0 0 | 2.31/0.84 | 0 0 0 0 0 0 | 2.31/0.84 \ / 2.31/0.84 2 is interpreted by 2.31/0.84 / \ 2.31/0.84 | 1 0 0 0 0 0 | 2.31/0.84 | 0 1 0 0 0 0 | 2.31/0.84 | 0 0 0 0 0 0 | 2.31/0.84 | 0 0 0 0 0 0 | 2.31/0.84 | 0 0 0 0 0 0 | 2.31/0.84 | 0 1 0 0 0 0 | 2.31/0.84 \ / 2.31/0.84 3 is interpreted by 2.31/0.84 / \ 2.31/0.84 | 1 0 0 0 0 0 | 2.31/0.84 | 0 1 0 0 0 0 | 2.31/0.84 | 0 0 0 0 0 0 | 2.31/0.84 | 0 0 0 0 0 0 | 2.31/0.84 | 0 0 0 0 0 0 | 2.31/0.84 | 0 0 0 0 0 0 | 2.31/0.84 \ / 2.31/0.84 5 is interpreted by 2.31/0.84 / \ 2.31/0.84 | 1 0 0 0 0 0 | 2.31/0.84 | 0 1 0 0 0 0 | 2.31/0.84 | 0 0 0 0 0 0 | 2.31/0.84 | 0 0 0 0 1 0 | 2.31/0.84 | 0 0 0 0 0 0 | 2.31/0.84 | 0 0 0 0 0 0 | 2.31/0.84 \ / 2.31/0.84 2.31/0.84 Remains to prove termination of the 1-rule system 2.31/0.84 { 5 0 2 -> 1 5 2 1 0 2 } 2.31/0.84 2.31/0.84 2.31/0.84 The system was filtered by the following matrix interpretation 2.31/0.84 of type E_J with J = {1,...,2} and dimension 4: 2.31/0.84 2.31/0.84 0 is interpreted by 2.31/0.84 / \ 2.31/0.84 | 1 0 0 0 | 2.31/0.84 | 0 1 0 0 | 2.31/0.84 | 0 0 0 1 | 2.31/0.84 | 0 0 0 0 | 2.31/0.84 \ / 2.31/0.84 4 is interpreted by 2.31/0.84 / \ 2.31/0.84 | 1 0 0 0 | 2.31/0.84 | 0 1 0 0 | 2.31/0.84 | 0 0 0 0 | 2.31/0.84 | 0 0 0 0 | 2.31/0.84 \ / 2.31/0.84 1 is interpreted by 2.31/0.84 / \ 2.31/0.84 | 1 0 0 0 | 2.31/0.84 | 0 1 0 0 | 2.31/0.84 | 0 0 0 0 | 2.31/0.84 | 0 0 0 0 | 2.31/0.84 \ / 2.31/0.84 2 is interpreted by 2.31/0.84 / \ 2.31/0.84 | 1 0 0 0 | 2.31/0.84 | 0 1 0 0 | 2.31/0.84 | 0 0 0 0 | 2.31/0.84 | 0 1 0 0 | 2.31/0.84 \ / 2.31/0.84 3 is interpreted by 2.31/0.84 / \ 2.31/0.84 | 1 0 0 0 | 2.31/0.84 | 0 1 0 0 | 2.31/0.84 | 0 0 0 0 | 2.31/0.84 | 0 0 0 0 | 2.31/0.84 \ / 2.31/0.84 5 is interpreted by 2.31/0.84 / \ 2.31/0.84 | 1 0 1 0 | 2.31/0.84 | 0 1 0 0 | 2.31/0.84 | 0 0 0 0 | 2.31/0.84 | 0 0 0 0 | 2.31/0.84 \ / 2.31/0.84 2.31/0.84 Remains to prove termination of the 0-rule system 2.31/0.84 { } 2.31/0.84 2.31/0.84 2.31/0.84 The system is trivially terminating. 2.60/0.88 EOF