3.58/1.18 YES 3.92/1.25 3.92/1.25 3.92/1.25 The system was filtered by the following matrix interpretation 3.92/1.25 of type E_J with J = {1,...,2} and dimension 4: 3.92/1.25 3.92/1.25 1 is interpreted by 3.92/1.25 / \ 3.92/1.25 | 1 0 0 0 | 3.92/1.25 | 0 1 0 0 | 3.92/1.25 | 0 0 0 0 | 3.92/1.25 | 0 0 0 0 | 3.92/1.25 \ / 3.92/1.25 4 is interpreted by 3.92/1.25 / \ 3.92/1.25 | 1 0 0 0 | 3.92/1.25 | 0 1 0 0 | 3.92/1.25 | 0 0 0 0 | 3.92/1.25 | 0 0 0 0 | 3.92/1.25 \ / 3.92/1.25 3 is interpreted by 3.92/1.25 / \ 3.92/1.25 | 1 0 0 0 | 3.92/1.25 | 0 1 0 0 | 3.92/1.25 | 0 0 0 0 | 3.92/1.25 | 0 0 0 0 | 3.92/1.25 \ / 3.92/1.25 2 is interpreted by 3.92/1.25 / \ 3.92/1.25 | 1 0 0 0 | 3.92/1.25 | 0 1 0 0 | 3.92/1.25 | 0 0 0 0 | 3.92/1.25 | 0 0 0 0 | 3.92/1.25 \ / 3.92/1.25 5 is interpreted by 3.92/1.25 / \ 3.92/1.25 | 1 0 0 0 | 3.92/1.25 | 0 1 0 0 | 3.92/1.25 | 0 0 0 1 | 3.92/1.25 | 0 1 0 0 | 3.92/1.25 \ / 3.92/1.25 0 is interpreted by 3.92/1.25 / \ 3.92/1.25 | 1 0 1 0 | 3.92/1.25 | 0 1 0 0 | 3.92/1.25 | 0 0 0 0 | 3.92/1.25 | 0 0 0 0 | 3.92/1.25 \ / 3.92/1.25 3.92/1.25 Remains to prove termination of the 37-rule system 3.92/1.25 { 1 4 -> 3 1 1 2 2 4 , 3.92/1.25 5 4 -> 4 2 3 1 1 1 , 3.92/1.25 0 3 0 -> 2 1 1 0 2 0 , 3.92/1.25 1 5 4 -> 0 2 5 2 0 4 , 3.92/1.25 3 5 4 -> 4 1 3 4 2 3 , 3.92/1.25 4 1 4 -> 3 3 2 2 3 1 , 3.92/1.25 5 4 0 -> 2 4 0 4 4 0 , 3.92/1.25 5 4 0 -> 5 1 5 2 1 0 , 3.92/1.25 5 4 4 -> 4 1 1 3 2 4 , 3.92/1.25 5 5 4 -> 3 4 4 1 2 2 , 3.92/1.25 1 4 5 4 -> 0 4 5 0 2 1 , 3.92/1.25 1 4 5 5 -> 0 0 1 3 4 1 , 3.92/1.25 2 5 4 0 -> 0 4 1 2 4 0 , 3.92/1.25 4 3 0 5 -> 3 3 2 3 5 5 , 3.92/1.25 5 4 0 0 -> 1 0 4 0 2 2 , 3.92/1.25 5 4 0 2 -> 3 0 4 5 0 2 , 3.92/1.25 0 0 ->= 1 2 1 0 2 0 , 3.92/1.25 0 3 ->= 1 2 1 2 0 3 , 3.92/1.25 0 1 3 ->= 1 0 3 1 0 4 , 3.92/1.25 0 1 5 ->= 0 2 0 3 4 1 , 3.92/1.25 0 3 0 ->= 0 2 0 0 5 0 , 3.92/1.25 0 5 1 ->= 0 0 0 0 5 1 , 3.92/1.25 1 5 4 ->= 0 3 4 3 3 3 , 3.92/1.25 2 0 5 ->= 0 3 2 5 1 1 , 3.92/1.25 3 0 2 ->= 3 4 2 1 0 2 , 3.92/1.25 3 3 0 ->= 3 4 2 3 3 0 , 3.92/1.25 0 0 5 0 ->= 1 0 3 5 3 0 , 3.92/1.25 0 1 4 0 ->= 0 5 0 0 0 3 , 3.92/1.25 1 3 3 0 ->= 1 4 2 2 2 0 , 3.92/1.25 1 4 0 2 ->= 2 0 3 4 0 2 , 3.92/1.25 3 0 5 3 ->= 3 1 1 5 0 3 , 3.92/1.25 3 3 3 0 ->= 3 3 0 4 1 0 , 3.92/1.25 4 0 2 3 ->= 4 0 3 4 3 2 , 3.92/1.25 4 1 4 0 ->= 2 5 0 3 1 0 , 3.92/1.25 4 3 5 5 ->= 3 3 5 3 2 5 , 3.92/1.25 4 5 4 0 ->= 2 5 1 0 5 2 , 3.92/1.25 5 4 5 5 ->= 0 1 0 4 3 1 } 3.92/1.25 3.92/1.25 3.92/1.25 The system was filtered by the following matrix interpretation 3.92/1.25 of type E_J with J = {1,...,2} and dimension 4: 3.92/1.25 3.92/1.25 1 is interpreted by 3.92/1.25 / \ 3.92/1.25 | 1 0 0 0 | 3.92/1.25 | 0 1 0 0 | 3.92/1.25 | 0 0 0 1 | 3.92/1.25 | 0 0 0 0 | 3.92/1.25 \ / 3.92/1.25 4 is interpreted by 3.92/1.25 / \ 3.92/1.25 | 1 0 0 0 | 3.92/1.25 | 0 1 0 0 | 3.92/1.25 | 0 0 0 0 | 3.92/1.25 | 0 0 0 0 | 3.92/1.25 \ / 3.92/1.25 3 is interpreted by 3.92/1.25 / \ 3.92/1.25 | 1 0 0 0 | 3.92/1.25 | 0 1 0 0 | 3.92/1.25 | 0 0 0 0 | 3.92/1.25 | 0 0 0 0 | 3.92/1.25 \ / 3.92/1.25 2 is interpreted by 3.92/1.25 / \ 3.92/1.25 | 1 0 0 0 | 3.92/1.25 | 0 1 0 0 | 3.92/1.25 | 0 0 0 0 | 3.92/1.25 | 0 0 0 0 | 3.92/1.25 \ / 3.92/1.25 5 is interpreted by 3.92/1.25 / \ 3.92/1.25 | 1 0 0 0 | 3.92/1.25 | 0 1 0 0 | 3.92/1.25 | 0 0 0 0 | 3.92/1.25 | 0 1 0 0 | 3.92/1.25 \ / 3.92/1.25 0 is interpreted by 3.92/1.25 / \ 3.92/1.25 | 1 0 1 0 | 3.92/1.25 | 0 1 0 0 | 3.92/1.25 | 0 0 0 0 | 3.92/1.25 | 0 0 0 0 | 3.92/1.25 \ / 3.92/1.25 3.92/1.25 Remains to prove termination of the 36-rule system 3.92/1.25 { 1 4 -> 3 1 1 2 2 4 , 3.92/1.25 5 4 -> 4 2 3 1 1 1 , 3.92/1.25 0 3 0 -> 2 1 1 0 2 0 , 3.92/1.25 1 5 4 -> 0 2 5 2 0 4 , 3.92/1.25 3 5 4 -> 4 1 3 4 2 3 , 3.92/1.25 4 1 4 -> 3 3 2 2 3 1 , 3.92/1.25 5 4 0 -> 2 4 0 4 4 0 , 3.92/1.25 5 4 0 -> 5 1 5 2 1 0 , 3.92/1.25 5 4 4 -> 4 1 1 3 2 4 , 3.92/1.25 5 5 4 -> 3 4 4 1 2 2 , 3.92/1.25 1 4 5 4 -> 0 4 5 0 2 1 , 3.92/1.25 1 4 5 5 -> 0 0 1 3 4 1 , 3.92/1.25 2 5 4 0 -> 0 4 1 2 4 0 , 3.92/1.25 4 3 0 5 -> 3 3 2 3 5 5 , 3.92/1.25 5 4 0 0 -> 1 0 4 0 2 2 , 3.92/1.25 5 4 0 2 -> 3 0 4 5 0 2 , 3.92/1.25 0 0 ->= 1 2 1 0 2 0 , 3.92/1.25 0 3 ->= 1 2 1 2 0 3 , 3.92/1.25 0 1 3 ->= 1 0 3 1 0 4 , 3.92/1.25 0 3 0 ->= 0 2 0 0 5 0 , 3.92/1.25 0 5 1 ->= 0 0 0 0 5 1 , 3.92/1.25 1 5 4 ->= 0 3 4 3 3 3 , 3.92/1.25 2 0 5 ->= 0 3 2 5 1 1 , 3.92/1.25 3 0 2 ->= 3 4 2 1 0 2 , 3.92/1.25 3 3 0 ->= 3 4 2 3 3 0 , 3.92/1.25 0 0 5 0 ->= 1 0 3 5 3 0 , 3.92/1.25 0 1 4 0 ->= 0 5 0 0 0 3 , 3.92/1.25 1 3 3 0 ->= 1 4 2 2 2 0 , 3.92/1.25 1 4 0 2 ->= 2 0 3 4 0 2 , 3.92/1.25 3 0 5 3 ->= 3 1 1 5 0 3 , 3.92/1.25 3 3 3 0 ->= 3 3 0 4 1 0 , 3.92/1.25 4 0 2 3 ->= 4 0 3 4 3 2 , 3.92/1.25 4 1 4 0 ->= 2 5 0 3 1 0 , 3.92/1.25 4 3 5 5 ->= 3 3 5 3 2 5 , 3.92/1.25 4 5 4 0 ->= 2 5 1 0 5 2 , 3.92/1.25 5 4 5 5 ->= 0 1 0 4 3 1 } 3.92/1.25 3.92/1.25 3.92/1.25 The system was filtered by the following matrix interpretation 3.92/1.25 of type E_J with J = {1,...,2} and dimension 5: 3.92/1.25 3.92/1.25 1 is interpreted by 3.92/1.25 / \ 3.92/1.25 | 1 0 0 0 0 | 3.92/1.25 | 0 1 0 0 0 | 3.92/1.25 | 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 | 3.92/1.25 \ / 3.92/1.25 4 is interpreted by 3.92/1.25 / \ 3.92/1.25 | 1 0 0 0 0 | 3.92/1.25 | 0 1 0 0 0 | 3.92/1.25 | 0 0 0 1 0 | 3.92/1.25 | 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 | 3.92/1.25 \ / 3.92/1.25 3 is interpreted by 3.92/1.25 / \ 3.92/1.25 | 1 0 0 0 0 | 3.92/1.25 | 0 1 0 0 0 | 3.92/1.25 | 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 | 3.92/1.25 \ / 3.92/1.25 2 is interpreted by 3.92/1.25 / \ 3.92/1.25 | 1 0 0 0 0 | 3.92/1.25 | 0 1 0 0 0 | 3.92/1.25 | 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 | 3.92/1.25 \ / 3.92/1.25 5 is interpreted by 3.92/1.25 / \ 3.92/1.25 | 1 0 1 0 0 | 3.92/1.25 | 0 1 0 0 0 | 3.92/1.25 | 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 1 | 3.92/1.25 | 0 1 0 0 0 | 3.92/1.25 \ / 3.92/1.25 0 is interpreted by 3.92/1.25 / \ 3.92/1.25 | 1 0 0 0 0 | 3.92/1.25 | 0 1 0 0 0 | 3.92/1.25 | 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 | 3.92/1.25 \ / 3.92/1.25 3.92/1.25 Remains to prove termination of the 35-rule system 3.92/1.25 { 1 4 -> 3 1 1 2 2 4 , 3.92/1.25 5 4 -> 4 2 3 1 1 1 , 3.92/1.25 0 3 0 -> 2 1 1 0 2 0 , 3.92/1.25 1 5 4 -> 0 2 5 2 0 4 , 3.92/1.25 3 5 4 -> 4 1 3 4 2 3 , 3.92/1.25 4 1 4 -> 3 3 2 2 3 1 , 3.92/1.25 5 4 0 -> 2 4 0 4 4 0 , 3.92/1.25 5 4 0 -> 5 1 5 2 1 0 , 3.92/1.25 5 4 4 -> 4 1 1 3 2 4 , 3.92/1.25 5 5 4 -> 3 4 4 1 2 2 , 3.92/1.25 1 4 5 4 -> 0 4 5 0 2 1 , 3.92/1.25 1 4 5 5 -> 0 0 1 3 4 1 , 3.92/1.25 2 5 4 0 -> 0 4 1 2 4 0 , 3.92/1.25 4 3 0 5 -> 3 3 2 3 5 5 , 3.92/1.25 5 4 0 0 -> 1 0 4 0 2 2 , 3.92/1.25 5 4 0 2 -> 3 0 4 5 0 2 , 3.92/1.25 0 0 ->= 1 2 1 0 2 0 , 3.92/1.25 0 3 ->= 1 2 1 2 0 3 , 3.92/1.25 0 1 3 ->= 1 0 3 1 0 4 , 3.92/1.25 0 3 0 ->= 0 2 0 0 5 0 , 3.92/1.25 0 5 1 ->= 0 0 0 0 5 1 , 3.92/1.25 1 5 4 ->= 0 3 4 3 3 3 , 3.92/1.25 2 0 5 ->= 0 3 2 5 1 1 , 3.92/1.25 3 0 2 ->= 3 4 2 1 0 2 , 3.92/1.25 3 3 0 ->= 3 4 2 3 3 0 , 3.92/1.25 0 0 5 0 ->= 1 0 3 5 3 0 , 3.92/1.25 0 1 4 0 ->= 0 5 0 0 0 3 , 3.92/1.25 1 3 3 0 ->= 1 4 2 2 2 0 , 3.92/1.25 1 4 0 2 ->= 2 0 3 4 0 2 , 3.92/1.25 3 0 5 3 ->= 3 1 1 5 0 3 , 3.92/1.25 3 3 3 0 ->= 3 3 0 4 1 0 , 3.92/1.25 4 0 2 3 ->= 4 0 3 4 3 2 , 3.92/1.25 4 1 4 0 ->= 2 5 0 3 1 0 , 3.92/1.25 4 3 5 5 ->= 3 3 5 3 2 5 , 3.92/1.25 4 5 4 0 ->= 2 5 1 0 5 2 } 3.92/1.25 3.92/1.25 3.92/1.25 The system was filtered by the following matrix interpretation 3.92/1.25 of type E_J with J = {1,...,2} and dimension 7: 3.92/1.25 3.92/1.25 1 is interpreted by 3.92/1.25 / \ 3.92/1.25 | 1 0 0 0 0 0 0 | 3.92/1.25 | 0 1 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 1 | 3.92/1.25 | 0 0 0 0 0 0 0 | 3.92/1.25 \ / 3.92/1.25 4 is interpreted by 3.92/1.25 / \ 3.92/1.25 | 1 0 1 0 0 0 0 | 3.92/1.25 | 0 1 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 0 | 3.92/1.25 \ / 3.92/1.25 3 is interpreted by 3.92/1.25 / \ 3.92/1.25 | 1 0 0 0 0 0 0 | 3.92/1.25 | 0 1 0 0 0 0 0 | 3.92/1.25 | 0 0 0 1 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 0 | 3.92/1.25 | 0 0 1 0 0 0 0 | 3.92/1.25 \ / 3.92/1.25 2 is interpreted by 3.92/1.25 / \ 3.92/1.25 | 1 0 0 0 0 0 0 | 3.92/1.25 | 0 1 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 0 | 3.92/1.25 \ / 3.92/1.25 5 is interpreted by 3.92/1.25 / \ 3.92/1.25 | 1 0 0 0 0 0 0 | 3.92/1.25 | 0 1 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 1 0 0 | 3.92/1.25 | 0 1 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 0 | 3.92/1.25 \ / 3.92/1.25 0 is interpreted by 3.92/1.25 / \ 3.92/1.25 | 1 0 0 0 0 1 0 | 3.92/1.25 | 0 1 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 0 | 3.92/1.25 \ / 3.92/1.25 3.92/1.25 Remains to prove termination of the 34-rule system 3.92/1.25 { 1 4 -> 3 1 1 2 2 4 , 3.92/1.25 5 4 -> 4 2 3 1 1 1 , 3.92/1.25 0 3 0 -> 2 1 1 0 2 0 , 3.92/1.25 1 5 4 -> 0 2 5 2 0 4 , 3.92/1.25 3 5 4 -> 4 1 3 4 2 3 , 3.92/1.25 4 1 4 -> 3 3 2 2 3 1 , 3.92/1.25 5 4 0 -> 2 4 0 4 4 0 , 3.92/1.25 5 4 0 -> 5 1 5 2 1 0 , 3.92/1.25 5 4 4 -> 4 1 1 3 2 4 , 3.92/1.25 5 5 4 -> 3 4 4 1 2 2 , 3.92/1.25 1 4 5 4 -> 0 4 5 0 2 1 , 3.92/1.25 1 4 5 5 -> 0 0 1 3 4 1 , 3.92/1.25 2 5 4 0 -> 0 4 1 2 4 0 , 3.92/1.25 4 3 0 5 -> 3 3 2 3 5 5 , 3.92/1.25 5 4 0 0 -> 1 0 4 0 2 2 , 3.92/1.25 5 4 0 2 -> 3 0 4 5 0 2 , 3.92/1.25 0 0 ->= 1 2 1 0 2 0 , 3.92/1.25 0 3 ->= 1 2 1 2 0 3 , 3.92/1.25 0 1 3 ->= 1 0 3 1 0 4 , 3.92/1.25 0 3 0 ->= 0 2 0 0 5 0 , 3.92/1.25 0 5 1 ->= 0 0 0 0 5 1 , 3.92/1.25 1 5 4 ->= 0 3 4 3 3 3 , 3.92/1.25 2 0 5 ->= 0 3 2 5 1 1 , 3.92/1.25 3 0 2 ->= 3 4 2 1 0 2 , 3.92/1.25 3 3 0 ->= 3 4 2 3 3 0 , 3.92/1.25 0 0 5 0 ->= 1 0 3 5 3 0 , 3.92/1.25 0 1 4 0 ->= 0 5 0 0 0 3 , 3.92/1.25 1 3 3 0 ->= 1 4 2 2 2 0 , 3.92/1.25 1 4 0 2 ->= 2 0 3 4 0 2 , 3.92/1.25 3 0 5 3 ->= 3 1 1 5 0 3 , 3.92/1.25 3 3 3 0 ->= 3 3 0 4 1 0 , 3.92/1.25 4 0 2 3 ->= 4 0 3 4 3 2 , 3.92/1.25 4 1 4 0 ->= 2 5 0 3 1 0 , 3.92/1.25 4 5 4 0 ->= 2 5 1 0 5 2 } 3.92/1.25 3.92/1.25 3.92/1.25 The system was filtered by the following matrix interpretation 3.92/1.25 of type E_J with J = {1,...,2} and dimension 8: 3.92/1.25 3.92/1.25 1 is interpreted by 3.92/1.25 / \ 3.92/1.25 | 1 0 0 0 0 0 0 0 | 3.92/1.25 | 0 1 0 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 0 1 | 3.92/1.25 | 0 0 0 0 0 0 0 0 | 3.92/1.25 \ / 3.92/1.25 4 is interpreted by 3.92/1.25 / \ 3.92/1.25 | 1 0 0 1 0 0 0 0 | 3.92/1.25 | 0 1 0 0 0 0 0 0 | 3.92/1.25 | 0 1 0 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 0 0 | 3.92/1.25 \ / 3.92/1.25 3 is interpreted by 3.92/1.25 / \ 3.92/1.25 | 1 0 0 0 0 0 0 0 | 3.92/1.25 | 0 1 0 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 1 0 0 | 3.92/1.25 | 0 0 0 0 1 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 0 0 | 3.92/1.25 | 0 0 0 1 0 0 0 0 | 3.92/1.25 \ / 3.92/1.25 2 is interpreted by 3.92/1.25 / \ 3.92/1.25 | 1 0 0 0 0 0 0 0 | 3.92/1.25 | 0 1 0 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 0 0 | 3.92/1.25 \ / 3.92/1.25 5 is interpreted by 3.92/1.25 / \ 3.92/1.25 | 1 0 1 0 0 0 0 0 | 3.92/1.25 | 0 1 0 0 0 0 0 0 | 3.92/1.25 | 0 0 1 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 0 0 | 3.92/1.25 | 0 0 1 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 0 0 | 3.92/1.25 \ / 3.92/1.25 0 is interpreted by 3.92/1.25 / \ 3.92/1.25 | 1 0 0 0 0 0 1 0 | 3.92/1.25 | 0 1 0 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 1 0 0 | 3.92/1.25 | 0 0 0 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 0 0 | 3.92/1.25 \ / 3.92/1.25 3.92/1.25 Remains to prove termination of the 21-rule system 3.92/1.25 { 1 4 -> 3 1 1 2 2 4 , 3.92/1.25 0 3 0 -> 2 1 1 0 2 0 , 3.92/1.25 4 1 4 -> 3 3 2 2 3 1 , 3.92/1.25 1 4 5 5 -> 0 0 1 3 4 1 , 3.92/1.25 4 3 0 5 -> 3 3 2 3 5 5 , 3.92/1.25 0 0 ->= 1 2 1 0 2 0 , 3.92/1.25 0 3 ->= 1 2 1 2 0 3 , 3.92/1.25 0 1 3 ->= 1 0 3 1 0 4 , 3.92/1.25 0 3 0 ->= 0 2 0 0 5 0 , 3.92/1.25 0 5 1 ->= 0 0 0 0 5 1 , 3.92/1.25 2 0 5 ->= 0 3 2 5 1 1 , 3.92/1.25 3 0 2 ->= 3 4 2 1 0 2 , 3.92/1.25 3 3 0 ->= 3 4 2 3 3 0 , 3.92/1.25 0 0 5 0 ->= 1 0 3 5 3 0 , 3.92/1.25 0 1 4 0 ->= 0 5 0 0 0 3 , 3.92/1.25 1 3 3 0 ->= 1 4 2 2 2 0 , 3.92/1.25 1 4 0 2 ->= 2 0 3 4 0 2 , 3.92/1.25 3 0 5 3 ->= 3 1 1 5 0 3 , 3.92/1.25 3 3 3 0 ->= 3 3 0 4 1 0 , 3.92/1.25 4 0 2 3 ->= 4 0 3 4 3 2 , 3.92/1.25 4 1 4 0 ->= 2 5 0 3 1 0 } 3.92/1.25 3.92/1.25 3.92/1.25 The system was filtered by the following matrix interpretation 3.92/1.25 of type E_J with J = {1,...,2} and dimension 7: 3.92/1.25 3.92/1.25 1 is interpreted by 3.92/1.25 / \ 3.92/1.25 | 1 0 0 0 0 0 0 | 3.92/1.25 | 0 1 0 0 0 0 0 | 3.92/1.25 | 0 0 0 1 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 0 | 3.92/1.25 | 0 1 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 0 | 3.92/1.25 \ / 3.92/1.25 4 is interpreted by 3.92/1.25 / \ 3.92/1.25 | 1 0 0 0 0 0 0 | 3.92/1.25 | 0 1 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 1 0 0 | 3.92/1.25 | 0 0 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 0 | 3.92/1.25 \ / 3.92/1.25 3 is interpreted by 3.92/1.25 / \ 3.92/1.25 | 1 0 0 0 0 0 0 | 3.92/1.25 | 0 1 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 0 | 3.92/1.25 \ / 3.92/1.25 2 is interpreted by 3.92/1.25 / \ 3.92/1.25 | 1 0 0 0 0 0 0 | 3.92/1.25 | 0 1 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 1 0 | 3.92/1.25 | 0 0 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 0 | 3.92/1.25 \ / 3.92/1.25 5 is interpreted by 3.92/1.25 / \ 3.92/1.25 | 1 0 0 0 0 0 0 | 3.92/1.25 | 0 1 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 0 | 3.92/1.25 | 0 1 0 0 0 0 0 | 3.92/1.25 \ / 3.92/1.25 0 is interpreted by 3.92/1.25 / \ 3.92/1.25 | 1 0 1 0 0 0 0 | 3.92/1.25 | 0 1 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 0 | 3.92/1.25 | 0 1 0 0 0 0 0 | 3.92/1.25 | 0 0 1 0 0 0 1 | 3.92/1.25 | 0 0 0 0 0 0 0 | 3.92/1.25 \ / 3.92/1.25 3.92/1.25 Remains to prove termination of the 20-rule system 3.92/1.25 { 1 4 -> 3 1 1 2 2 4 , 3.92/1.25 0 3 0 -> 2 1 1 0 2 0 , 3.92/1.25 4 1 4 -> 3 3 2 2 3 1 , 3.92/1.25 1 4 5 5 -> 0 0 1 3 4 1 , 3.92/1.25 4 3 0 5 -> 3 3 2 3 5 5 , 3.92/1.25 0 0 ->= 1 2 1 0 2 0 , 3.92/1.25 0 3 ->= 1 2 1 2 0 3 , 3.92/1.25 0 1 3 ->= 1 0 3 1 0 4 , 3.92/1.25 0 3 0 ->= 0 2 0 0 5 0 , 3.92/1.25 0 5 1 ->= 0 0 0 0 5 1 , 3.92/1.25 2 0 5 ->= 0 3 2 5 1 1 , 3.92/1.25 3 0 2 ->= 3 4 2 1 0 2 , 3.92/1.25 3 3 0 ->= 3 4 2 3 3 0 , 3.92/1.25 0 0 5 0 ->= 1 0 3 5 3 0 , 3.92/1.25 1 3 3 0 ->= 1 4 2 2 2 0 , 3.92/1.25 1 4 0 2 ->= 2 0 3 4 0 2 , 3.92/1.25 3 0 5 3 ->= 3 1 1 5 0 3 , 3.92/1.25 3 3 3 0 ->= 3 3 0 4 1 0 , 3.92/1.25 4 0 2 3 ->= 4 0 3 4 3 2 , 3.92/1.25 4 1 4 0 ->= 2 5 0 3 1 0 } 3.92/1.25 3.92/1.25 3.92/1.25 The system was filtered by the following matrix interpretation 3.92/1.25 of type E_J with J = {1,...,2} and dimension 5: 3.92/1.25 3.92/1.25 1 is interpreted by 3.92/1.25 / \ 3.92/1.25 | 1 0 0 0 0 | 3.92/1.25 | 0 1 0 0 0 | 3.92/1.25 | 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 | 3.92/1.25 \ / 3.92/1.25 4 is interpreted by 3.92/1.25 / \ 3.92/1.25 | 1 0 1 0 0 | 3.92/1.25 | 0 1 0 0 0 | 3.92/1.25 | 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 | 3.92/1.25 \ / 3.92/1.25 3 is interpreted by 3.92/1.25 / \ 3.92/1.25 | 1 0 1 0 0 | 3.92/1.25 | 0 1 0 0 0 | 3.92/1.25 | 0 0 0 1 0 | 3.92/1.25 | 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 | 3.92/1.25 \ / 3.92/1.25 2 is interpreted by 3.92/1.25 / \ 3.92/1.25 | 1 0 0 0 0 | 3.92/1.25 | 0 1 0 0 0 | 3.92/1.25 | 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 | 3.92/1.25 \ / 3.92/1.25 5 is interpreted by 3.92/1.25 / \ 3.92/1.25 | 1 0 0 0 0 | 3.92/1.25 | 0 1 0 0 0 | 3.92/1.25 | 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 | 3.92/1.25 | 0 1 0 0 0 | 3.92/1.25 \ / 3.92/1.25 0 is interpreted by 3.92/1.25 / \ 3.92/1.25 | 1 0 0 0 0 | 3.92/1.25 | 0 1 0 0 0 | 3.92/1.25 | 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 1 | 3.92/1.25 | 0 0 0 0 0 | 3.92/1.25 \ / 3.92/1.25 3.92/1.25 Remains to prove termination of the 19-rule system 3.92/1.25 { 1 4 -> 3 1 1 2 2 4 , 3.92/1.25 0 3 0 -> 2 1 1 0 2 0 , 3.92/1.25 4 1 4 -> 3 3 2 2 3 1 , 3.92/1.25 1 4 5 5 -> 0 0 1 3 4 1 , 3.92/1.25 0 0 ->= 1 2 1 0 2 0 , 3.92/1.25 0 3 ->= 1 2 1 2 0 3 , 3.92/1.25 0 1 3 ->= 1 0 3 1 0 4 , 3.92/1.25 0 3 0 ->= 0 2 0 0 5 0 , 3.92/1.25 0 5 1 ->= 0 0 0 0 5 1 , 3.92/1.25 2 0 5 ->= 0 3 2 5 1 1 , 3.92/1.25 3 0 2 ->= 3 4 2 1 0 2 , 3.92/1.25 3 3 0 ->= 3 4 2 3 3 0 , 3.92/1.25 0 0 5 0 ->= 1 0 3 5 3 0 , 3.92/1.25 1 3 3 0 ->= 1 4 2 2 2 0 , 3.92/1.25 1 4 0 2 ->= 2 0 3 4 0 2 , 3.92/1.25 3 0 5 3 ->= 3 1 1 5 0 3 , 3.92/1.25 3 3 3 0 ->= 3 3 0 4 1 0 , 3.92/1.25 4 0 2 3 ->= 4 0 3 4 3 2 , 3.92/1.25 4 1 4 0 ->= 2 5 0 3 1 0 } 3.92/1.25 3.92/1.25 3.92/1.25 The system was filtered by the following matrix interpretation 3.92/1.25 of type E_J with J = {1,...,2} and dimension 5: 3.92/1.25 3.92/1.25 1 is interpreted by 3.92/1.25 / \ 3.92/1.25 | 1 0 1 0 0 | 3.92/1.25 | 0 1 0 0 0 | 3.92/1.25 | 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 | 3.92/1.25 \ / 3.92/1.25 4 is interpreted by 3.92/1.25 / \ 3.92/1.25 | 1 0 0 0 0 | 3.92/1.25 | 0 1 0 0 0 | 3.92/1.25 | 0 0 1 1 0 | 3.92/1.25 | 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 | 3.92/1.25 \ / 3.92/1.25 3 is interpreted by 3.92/1.25 / \ 3.92/1.25 | 1 0 0 0 0 | 3.92/1.25 | 0 1 0 0 0 | 3.92/1.25 | 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 | 3.92/1.25 \ / 3.92/1.25 2 is interpreted by 3.92/1.25 / \ 3.92/1.25 | 1 0 0 0 0 | 3.92/1.25 | 0 1 0 0 0 | 3.92/1.25 | 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 | 3.92/1.25 \ / 3.92/1.25 5 is interpreted by 3.92/1.25 / \ 3.92/1.25 | 1 0 1 0 0 | 3.92/1.25 | 0 1 0 0 0 | 3.92/1.25 | 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 1 | 3.92/1.25 | 0 1 0 0 0 | 3.92/1.25 \ / 3.92/1.25 0 is interpreted by 3.92/1.25 / \ 3.92/1.25 | 1 0 0 0 0 | 3.92/1.25 | 0 1 0 0 0 | 3.92/1.25 | 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 | 3.92/1.25 \ / 3.92/1.25 3.92/1.25 Remains to prove termination of the 18-rule system 3.92/1.25 { 1 4 -> 3 1 1 2 2 4 , 3.92/1.25 0 3 0 -> 2 1 1 0 2 0 , 3.92/1.25 4 1 4 -> 3 3 2 2 3 1 , 3.92/1.25 0 0 ->= 1 2 1 0 2 0 , 3.92/1.25 0 3 ->= 1 2 1 2 0 3 , 3.92/1.25 0 1 3 ->= 1 0 3 1 0 4 , 3.92/1.25 0 3 0 ->= 0 2 0 0 5 0 , 3.92/1.25 0 5 1 ->= 0 0 0 0 5 1 , 3.92/1.25 2 0 5 ->= 0 3 2 5 1 1 , 3.92/1.25 3 0 2 ->= 3 4 2 1 0 2 , 3.92/1.25 3 3 0 ->= 3 4 2 3 3 0 , 3.92/1.25 0 0 5 0 ->= 1 0 3 5 3 0 , 3.92/1.25 1 3 3 0 ->= 1 4 2 2 2 0 , 3.92/1.25 1 4 0 2 ->= 2 0 3 4 0 2 , 3.92/1.25 3 0 5 3 ->= 3 1 1 5 0 3 , 3.92/1.25 3 3 3 0 ->= 3 3 0 4 1 0 , 3.92/1.25 4 0 2 3 ->= 4 0 3 4 3 2 , 3.92/1.25 4 1 4 0 ->= 2 5 0 3 1 0 } 3.92/1.25 3.92/1.25 3.92/1.25 The system was filtered by the following matrix interpretation 3.92/1.25 of type E_J with J = {1,...,2} and dimension 6: 3.92/1.25 3.92/1.25 1 is interpreted by 3.92/1.25 / \ 3.92/1.25 | 1 0 0 0 0 0 | 3.92/1.25 | 0 1 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 | 3.92/1.25 \ / 3.92/1.25 4 is interpreted by 3.92/1.25 / \ 3.92/1.25 | 1 0 0 0 0 0 | 3.92/1.25 | 0 1 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 | 3.92/1.25 \ / 3.92/1.25 3 is interpreted by 3.92/1.25 / \ 3.92/1.25 | 1 0 0 0 0 0 | 3.92/1.25 | 0 1 0 0 0 0 | 3.92/1.25 | 0 0 0 1 0 0 | 3.92/1.25 | 0 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 | 3.92/1.25 \ / 3.92/1.25 2 is interpreted by 3.92/1.25 / \ 3.92/1.25 | 1 0 0 0 0 0 | 3.92/1.25 | 0 1 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 1 0 | 3.92/1.25 | 0 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 | 3.92/1.25 \ / 3.92/1.25 5 is interpreted by 3.92/1.25 / \ 3.92/1.25 | 1 0 0 0 0 0 | 3.92/1.25 | 0 1 0 0 0 0 | 3.92/1.25 | 0 0 1 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 | 3.92/1.25 | 0 1 0 0 0 0 | 3.92/1.25 \ / 3.92/1.25 0 is interpreted by 3.92/1.25 / \ 3.92/1.25 | 1 0 1 0 0 0 | 3.92/1.25 | 0 1 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 | 3.92/1.25 | 0 1 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 1 | 3.92/1.25 | 0 0 0 0 0 0 | 3.92/1.25 \ / 3.92/1.25 3.92/1.25 Remains to prove termination of the 16-rule system 3.92/1.25 { 1 4 -> 3 1 1 2 2 4 , 3.92/1.25 4 1 4 -> 3 3 2 2 3 1 , 3.92/1.25 0 0 ->= 1 2 1 0 2 0 , 3.92/1.25 0 3 ->= 1 2 1 2 0 3 , 3.92/1.25 0 1 3 ->= 1 0 3 1 0 4 , 3.92/1.25 0 5 1 ->= 0 0 0 0 5 1 , 3.92/1.25 2 0 5 ->= 0 3 2 5 1 1 , 3.92/1.25 3 0 2 ->= 3 4 2 1 0 2 , 3.92/1.25 3 3 0 ->= 3 4 2 3 3 0 , 3.92/1.25 0 0 5 0 ->= 1 0 3 5 3 0 , 3.92/1.25 1 3 3 0 ->= 1 4 2 2 2 0 , 3.92/1.25 1 4 0 2 ->= 2 0 3 4 0 2 , 3.92/1.25 3 0 5 3 ->= 3 1 1 5 0 3 , 3.92/1.25 3 3 3 0 ->= 3 3 0 4 1 0 , 3.92/1.25 4 0 2 3 ->= 4 0 3 4 3 2 , 3.92/1.25 4 1 4 0 ->= 2 5 0 3 1 0 } 3.92/1.25 3.92/1.25 3.92/1.25 The system was filtered by the following matrix interpretation 3.92/1.25 of type E_J with J = {1,...,2} and dimension 7: 3.92/1.25 3.92/1.25 1 is interpreted by 3.92/1.25 / \ 3.92/1.25 | 1 0 0 0 0 0 0 | 3.92/1.25 | 0 1 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 0 | 3.92/1.25 \ / 3.92/1.25 4 is interpreted by 3.92/1.25 / \ 3.92/1.25 | 1 0 0 0 0 0 0 | 3.92/1.25 | 0 1 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 0 | 3.92/1.25 \ / 3.92/1.25 3 is interpreted by 3.92/1.25 / \ 3.92/1.25 | 1 0 0 0 0 0 0 | 3.92/1.25 | 0 1 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 0 | 3.92/1.25 \ / 3.92/1.25 2 is interpreted by 3.92/1.25 / \ 3.92/1.25 | 1 0 0 0 0 0 0 | 3.92/1.25 | 0 1 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 1 0 | 3.92/1.25 | 0 0 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 0 | 3.92/1.25 \ / 3.92/1.25 5 is interpreted by 3.92/1.25 / \ 3.92/1.25 | 1 0 0 0 0 0 0 | 3.92/1.25 | 0 1 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 1 0 0 | 3.92/1.25 | 0 0 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 0 | 3.92/1.25 | 0 1 0 0 0 0 0 | 3.92/1.25 \ / 3.92/1.25 0 is interpreted by 3.92/1.25 / \ 3.92/1.25 | 1 0 1 0 0 0 0 | 3.92/1.25 | 0 1 0 0 0 0 0 | 3.92/1.25 | 0 0 0 1 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 0 | 3.92/1.25 | 0 1 0 0 0 0 0 | 3.92/1.25 | 0 0 0 0 0 0 1 | 3.92/1.25 | 0 0 0 0 0 0 0 | 3.92/1.25 \ / 3.92/1.25 3.92/1.25 Remains to prove termination of the 15-rule system 3.92/1.25 { 1 4 -> 3 1 1 2 2 4 , 3.92/1.25 4 1 4 -> 3 3 2 2 3 1 , 3.92/1.25 0 0 ->= 1 2 1 0 2 0 , 3.92/1.25 0 3 ->= 1 2 1 2 0 3 , 3.92/1.25 0 1 3 ->= 1 0 3 1 0 4 , 3.92/1.25 0 5 1 ->= 0 0 0 0 5 1 , 3.92/1.25 2 0 5 ->= 0 3 2 5 1 1 , 3.92/1.25 3 0 2 ->= 3 4 2 1 0 2 , 3.92/1.25 3 3 0 ->= 3 4 2 3 3 0 , 3.92/1.25 1 3 3 0 ->= 1 4 2 2 2 0 , 3.92/1.25 1 4 0 2 ->= 2 0 3 4 0 2 , 3.92/1.25 3 0 5 3 ->= 3 1 1 5 0 3 , 3.92/1.25 3 3 3 0 ->= 3 3 0 4 1 0 , 3.92/1.25 4 0 2 3 ->= 4 0 3 4 3 2 , 3.92/1.25 4 1 4 0 ->= 2 5 0 3 1 0 } 3.92/1.25 3.92/1.25 3.92/1.25 The system was filtered by the following matrix interpretation 3.92/1.25 of type E_J with J = {1,...,2} and dimension 4: 3.92/1.25 3.92/1.25 1 is interpreted by 3.92/1.25 / \ 3.92/1.25 | 1 0 0 0 | 3.92/1.25 | 0 1 0 0 | 3.92/1.25 | 0 0 0 1 | 3.92/1.25 | 0 0 0 1 | 3.92/1.25 \ / 3.92/1.25 4 is interpreted by 3.92/1.25 / \ 3.92/1.25 | 1 0 0 0 | 3.92/1.25 | 0 1 0 0 | 3.92/1.25 | 0 0 0 0 | 3.92/1.25 | 0 1 0 0 | 3.92/1.25 \ / 3.92/1.25 3 is interpreted by 3.92/1.25 / \ 3.92/1.25 | 1 0 0 0 | 3.92/1.25 | 0 1 0 0 | 3.92/1.25 | 0 0 0 0 | 3.92/1.25 | 0 1 0 0 | 3.92/1.25 \ / 3.92/1.25 2 is interpreted by 3.92/1.25 / \ 3.92/1.25 | 1 0 0 0 | 3.92/1.25 | 0 1 0 0 | 3.92/1.25 | 0 0 0 0 | 3.92/1.25 | 0 0 0 0 | 3.92/1.25 \ / 3.92/1.25 5 is interpreted by 3.92/1.25 / \ 3.92/1.25 | 1 0 0 0 | 3.92/1.25 | 0 1 0 0 | 3.92/1.25 | 0 0 0 0 | 3.92/1.25 | 0 0 0 0 | 3.92/1.25 \ / 3.92/1.26 0 is interpreted by 3.92/1.26 / \ 3.92/1.26 | 1 0 1 0 | 3.92/1.26 | 0 1 0 0 | 3.92/1.26 | 0 0 0 0 | 3.92/1.26 | 0 0 0 0 | 3.92/1.26 \ / 3.92/1.26 3.92/1.26 Remains to prove termination of the 14-rule system 3.92/1.26 { 1 4 -> 3 1 1 2 2 4 , 3.92/1.26 4 1 4 -> 3 3 2 2 3 1 , 3.92/1.26 0 0 ->= 1 2 1 0 2 0 , 3.92/1.26 0 3 ->= 1 2 1 2 0 3 , 3.92/1.26 0 5 1 ->= 0 0 0 0 5 1 , 3.92/1.26 2 0 5 ->= 0 3 2 5 1 1 , 3.92/1.26 3 0 2 ->= 3 4 2 1 0 2 , 3.92/1.26 3 3 0 ->= 3 4 2 3 3 0 , 3.92/1.26 1 3 3 0 ->= 1 4 2 2 2 0 , 3.92/1.26 1 4 0 2 ->= 2 0 3 4 0 2 , 3.92/1.26 3 0 5 3 ->= 3 1 1 5 0 3 , 3.92/1.26 3 3 3 0 ->= 3 3 0 4 1 0 , 3.92/1.26 4 0 2 3 ->= 4 0 3 4 3 2 , 3.92/1.26 4 1 4 0 ->= 2 5 0 3 1 0 } 3.92/1.26 3.92/1.26 3.92/1.26 The system was filtered by the following matrix interpretation 3.92/1.26 of type E_J with J = {1,...,2} and dimension 7: 3.92/1.26 3.92/1.26 1 is interpreted by 3.92/1.26 / \ 3.92/1.26 | 1 0 0 0 0 0 0 | 3.92/1.26 | 0 1 0 0 0 0 0 | 3.92/1.26 | 0 0 0 1 0 0 0 | 3.92/1.26 | 0 0 0 0 0 0 0 | 3.92/1.26 | 0 0 0 0 0 0 0 | 3.92/1.26 | 0 0 0 0 0 0 0 | 3.92/1.26 | 0 0 0 0 0 0 0 | 3.92/1.26 \ / 3.92/1.26 4 is interpreted by 3.92/1.26 / \ 3.92/1.26 | 1 0 1 0 0 0 0 | 3.92/1.26 | 0 1 0 0 0 0 0 | 3.92/1.26 | 0 0 0 0 0 0 0 | 3.92/1.26 | 0 0 0 0 1 0 0 | 3.92/1.26 | 0 0 0 0 0 0 0 | 3.92/1.26 | 0 0 0 0 0 0 0 | 3.92/1.26 | 0 0 0 0 0 0 0 | 3.92/1.26 \ / 3.92/1.26 3 is interpreted by 3.92/1.26 / \ 3.92/1.26 | 1 0 0 0 0 0 0 | 3.92/1.26 | 0 1 0 0 0 0 0 | 3.92/1.26 | 0 0 0 0 0 0 0 | 3.92/1.26 | 0 0 0 0 0 0 0 | 3.92/1.26 | 0 0 0 0 0 0 0 | 3.92/1.26 | 0 0 0 0 0 0 0 | 3.92/1.26 | 0 0 0 0 0 0 0 | 3.92/1.26 \ / 3.92/1.26 2 is interpreted by 3.92/1.26 / \ 3.92/1.26 | 1 0 0 0 0 0 0 | 3.92/1.26 | 0 1 0 0 0 0 0 | 3.92/1.26 | 0 0 0 0 0 0 0 | 3.92/1.26 | 0 0 0 0 0 0 0 | 3.92/1.26 | 0 0 0 0 0 1 0 | 3.92/1.26 | 0 0 0 0 0 0 0 | 3.92/1.26 | 0 0 0 0 0 0 0 | 3.92/1.26 \ / 3.92/1.26 5 is interpreted by 3.92/1.26 / \ 3.92/1.26 | 1 0 0 0 0 0 0 | 3.92/1.26 | 0 1 0 0 0 0 0 | 3.92/1.26 | 0 0 0 0 0 0 0 | 3.92/1.26 | 0 0 0 0 0 0 0 | 3.92/1.26 | 0 0 0 0 0 0 0 | 3.92/1.26 | 0 0 0 0 0 0 0 | 3.92/1.26 | 0 1 0 0 0 0 0 | 3.92/1.26 \ / 3.92/1.26 0 is interpreted by 3.92/1.26 / \ 3.92/1.26 | 1 0 0 0 0 0 0 | 3.92/1.26 | 0 1 0 0 0 0 0 | 3.92/1.26 | 0 0 0 0 0 0 0 | 3.92/1.26 | 0 0 0 0 0 0 0 | 3.92/1.26 | 0 1 0 0 0 0 0 | 3.92/1.26 | 0 0 0 0 0 0 1 | 3.92/1.26 | 0 0 0 0 0 0 0 | 3.92/1.26 \ / 3.92/1.26 3.92/1.26 Remains to prove termination of the 13-rule system 3.92/1.26 { 1 4 -> 3 1 1 2 2 4 , 3.92/1.26 4 1 4 -> 3 3 2 2 3 1 , 3.92/1.26 0 0 ->= 1 2 1 0 2 0 , 3.92/1.26 0 3 ->= 1 2 1 2 0 3 , 3.92/1.26 0 5 1 ->= 0 0 0 0 5 1 , 3.92/1.26 2 0 5 ->= 0 3 2 5 1 1 , 3.92/1.26 3 0 2 ->= 3 4 2 1 0 2 , 3.92/1.26 3 3 0 ->= 3 4 2 3 3 0 , 3.92/1.26 1 3 3 0 ->= 1 4 2 2 2 0 , 3.92/1.26 1 4 0 2 ->= 2 0 3 4 0 2 , 3.92/1.26 3 0 5 3 ->= 3 1 1 5 0 3 , 3.92/1.26 3 3 3 0 ->= 3 3 0 4 1 0 , 3.92/1.26 4 0 2 3 ->= 4 0 3 4 3 2 } 3.92/1.26 3.92/1.26 3.92/1.26 The system was filtered by the following matrix interpretation 3.92/1.26 of type E_J with J = {1,...,2} and dimension 4: 3.92/1.26 3.92/1.26 1 is interpreted by 3.92/1.26 / \ 3.92/1.26 | 1 0 0 0 | 3.92/1.26 | 0 1 0 0 | 3.92/1.26 | 0 0 0 1 | 3.92/1.26 | 0 0 0 1 | 3.92/1.26 \ / 3.92/1.26 4 is interpreted by 3.92/1.26 / \ 3.92/1.26 | 1 0 1 0 | 3.92/1.26 | 0 1 0 0 | 3.92/1.26 | 0 0 0 0 | 3.92/1.26 | 0 1 0 0 | 3.92/1.26 \ / 3.92/1.26 3 is interpreted by 3.92/1.26 / \ 3.92/1.26 | 1 0 0 0 | 3.92/1.26 | 0 1 0 0 | 3.92/1.26 | 0 0 0 0 | 3.92/1.26 | 0 1 0 0 | 3.92/1.26 \ / 3.92/1.26 2 is interpreted by 3.92/1.26 / \ 3.92/1.26 | 1 0 0 0 | 3.92/1.26 | 0 1 0 0 | 3.92/1.26 | 0 0 0 0 | 3.92/1.26 | 0 0 0 0 | 3.92/1.26 \ / 3.92/1.26 5 is interpreted by 3.92/1.26 / \ 3.92/1.26 | 1 0 0 0 | 3.92/1.26 | 0 1 0 0 | 3.92/1.26 | 0 0 0 0 | 3.92/1.26 | 0 0 0 0 | 3.92/1.26 \ / 3.92/1.26 0 is interpreted by 3.92/1.26 / \ 3.92/1.26 | 1 0 0 0 | 3.92/1.26 | 0 1 0 0 | 3.92/1.26 | 0 0 0 0 | 3.92/1.26 | 0 0 0 0 | 3.92/1.26 \ / 3.92/1.26 3.92/1.26 Remains to prove termination of the 12-rule system 3.92/1.26 { 1 4 -> 3 1 1 2 2 4 , 3.92/1.26 0 0 ->= 1 2 1 0 2 0 , 3.92/1.26 0 3 ->= 1 2 1 2 0 3 , 3.92/1.26 0 5 1 ->= 0 0 0 0 5 1 , 3.92/1.26 2 0 5 ->= 0 3 2 5 1 1 , 3.92/1.26 3 0 2 ->= 3 4 2 1 0 2 , 3.92/1.26 3 3 0 ->= 3 4 2 3 3 0 , 3.92/1.26 1 3 3 0 ->= 1 4 2 2 2 0 , 3.92/1.26 1 4 0 2 ->= 2 0 3 4 0 2 , 3.92/1.26 3 0 5 3 ->= 3 1 1 5 0 3 , 3.92/1.26 3 3 3 0 ->= 3 3 0 4 1 0 , 3.92/1.26 4 0 2 3 ->= 4 0 3 4 3 2 } 3.92/1.26 3.92/1.26 3.92/1.26 The system was filtered by the following matrix interpretation 3.92/1.26 of type E_J with J = {1,...,2} and dimension 7: 3.92/1.26 3.92/1.26 1 is interpreted by 3.92/1.26 / \ 3.92/1.26 | 1 0 0 0 0 0 0 | 3.92/1.26 | 0 1 0 0 0 0 0 | 3.92/1.26 | 0 0 0 0 0 0 0 | 3.92/1.26 | 0 0 0 0 1 0 0 | 3.92/1.26 | 0 0 0 0 0 0 0 | 3.92/1.26 | 0 0 0 0 0 0 0 | 3.92/1.26 | 0 0 0 0 1 0 0 | 3.92/1.26 \ / 3.92/1.26 4 is interpreted by 3.92/1.26 / \ 3.92/1.26 | 1 0 0 0 0 0 0 | 3.92/1.26 | 0 1 0 0 0 0 0 | 3.92/1.26 | 0 0 0 0 0 0 0 | 3.92/1.26 | 0 0 0 0 0 0 0 | 3.92/1.26 | 0 0 0 0 0 1 0 | 3.92/1.26 | 0 0 0 0 0 0 0 | 3.92/1.26 | 0 0 0 0 0 0 0 | 3.92/1.26 \ / 3.92/1.26 3 is interpreted by 3.92/1.26 / \ 3.92/1.26 | 1 0 1 0 0 0 0 | 3.92/1.26 | 0 1 0 0 0 0 0 | 3.92/1.26 | 0 0 0 0 0 0 0 | 3.92/1.26 | 0 0 0 0 0 0 0 | 3.92/1.26 | 0 0 0 0 0 0 0 | 3.92/1.26 | 0 0 0 0 0 0 0 | 3.92/1.26 | 0 0 0 0 0 0 0 | 3.92/1.26 \ / 3.92/1.26 2 is interpreted by 3.92/1.26 / \ 3.92/1.26 | 1 0 0 0 0 0 0 | 3.92/1.26 | 0 1 0 0 0 0 0 | 3.92/1.26 | 0 0 0 0 0 0 0 | 3.92/1.26 | 0 1 0 0 0 0 0 | 3.92/1.26 | 0 0 0 0 0 0 0 | 3.92/1.26 | 0 0 0 0 0 0 0 | 3.92/1.26 | 0 1 0 0 0 0 0 | 3.92/1.26 \ / 3.92/1.26 5 is interpreted by 3.92/1.26 / \ 3.92/1.26 | 1 0 0 0 0 0 0 | 3.92/1.26 | 0 1 0 0 0 0 0 | 3.92/1.26 | 0 0 0 0 0 0 0 | 3.92/1.26 | 0 0 0 0 0 0 0 | 3.92/1.26 | 0 0 0 0 0 0 0 | 3.92/1.26 | 0 0 0 0 0 0 0 | 3.92/1.26 | 0 0 0 0 0 0 0 | 3.92/1.26 \ / 3.92/1.26 0 is interpreted by 3.92/1.26 / \ 3.92/1.26 | 1 0 0 0 0 0 0 | 3.92/1.26 | 0 1 0 0 0 0 0 | 3.92/1.26 | 0 0 0 1 0 0 0 | 3.92/1.26 | 0 0 0 0 0 0 0 | 3.92/1.26 | 0 0 0 0 0 0 0 | 3.92/1.26 | 0 0 0 0 0 0 1 | 3.92/1.26 | 0 0 0 0 0 0 0 | 3.92/1.26 \ / 3.92/1.26 3.92/1.26 Remains to prove termination of the 11-rule system 3.92/1.26 { 1 4 -> 3 1 1 2 2 4 , 3.92/1.26 0 0 ->= 1 2 1 0 2 0 , 3.92/1.26 0 3 ->= 1 2 1 2 0 3 , 3.92/1.26 0 5 1 ->= 0 0 0 0 5 1 , 3.92/1.26 2 0 5 ->= 0 3 2 5 1 1 , 3.92/1.26 3 3 0 ->= 3 4 2 3 3 0 , 3.92/1.26 1 3 3 0 ->= 1 4 2 2 2 0 , 3.92/1.26 1 4 0 2 ->= 2 0 3 4 0 2 , 3.92/1.26 3 0 5 3 ->= 3 1 1 5 0 3 , 3.92/1.26 3 3 3 0 ->= 3 3 0 4 1 0 , 3.92/1.26 4 0 2 3 ->= 4 0 3 4 3 2 } 3.92/1.26 3.92/1.26 3.92/1.26 The system was filtered by the following matrix interpretation 3.92/1.26 of type E_J with J = {1,...,2} and dimension 6: 3.92/1.26 3.92/1.26 1 is interpreted by 3.92/1.26 / \ 3.92/1.26 | 1 0 0 0 0 0 | 3.92/1.26 | 0 1 0 0 0 0 | 3.92/1.26 | 0 0 0 0 0 0 | 3.92/1.26 | 0 0 0 0 0 0 | 3.92/1.26 | 0 0 0 0 1 1 | 3.92/1.26 | 0 0 0 0 0 0 | 3.92/1.26 \ / 3.92/1.26 4 is interpreted by 3.92/1.26 / \ 3.92/1.26 | 1 0 0 0 0 0 | 3.92/1.26 | 0 1 0 0 0 0 | 3.92/1.26 | 0 0 0 0 0 0 | 3.92/1.26 | 0 0 0 0 0 0 | 3.92/1.26 | 0 0 0 0 0 0 | 3.92/1.26 | 0 1 0 0 0 0 | 3.92/1.26 \ / 3.92/1.26 3 is interpreted by 3.92/1.26 / \ 3.92/1.26 | 1 0 1 0 0 0 | 3.92/1.26 | 0 1 0 0 0 0 | 3.92/1.26 | 0 0 0 0 0 0 | 3.92/1.26 | 0 0 0 0 0 0 | 3.92/1.26 | 0 1 0 0 0 0 | 3.92/1.26 | 0 0 0 0 0 0 | 3.92/1.26 \ / 3.92/1.26 2 is interpreted by 3.92/1.26 / \ 3.92/1.26 | 1 0 0 0 0 0 | 3.92/1.26 | 0 1 0 0 0 0 | 3.92/1.26 | 0 0 0 0 0 0 | 3.92/1.26 | 0 0 0 0 0 0 | 3.92/1.26 | 0 0 0 0 0 0 | 3.92/1.26 | 0 0 0 0 0 0 | 3.92/1.26 \ / 3.92/1.26 5 is interpreted by 3.92/1.26 / \ 3.92/1.26 | 1 0 0 0 0 0 | 3.92/1.26 | 0 1 0 0 0 0 | 3.92/1.26 | 0 0 0 0 0 0 | 3.92/1.26 | 0 0 0 0 1 0 | 3.92/1.26 | 0 0 0 0 0 0 | 3.92/1.26 | 0 0 0 0 0 0 | 3.92/1.26 \ / 3.92/1.26 0 is interpreted by 3.92/1.26 / \ 3.92/1.26 | 1 0 0 0 0 0 | 3.92/1.26 | 0 1 0 0 0 0 | 3.92/1.26 | 0 0 0 1 0 0 | 3.92/1.26 | 0 0 0 0 0 0 | 3.92/1.26 | 0 0 0 0 0 0 | 3.92/1.26 | 0 0 0 0 0 0 | 3.92/1.26 \ / 3.92/1.26 3.92/1.26 Remains to prove termination of the 10-rule system 3.92/1.26 { 1 4 -> 3 1 1 2 2 4 , 3.92/1.26 0 0 ->= 1 2 1 0 2 0 , 3.92/1.26 0 3 ->= 1 2 1 2 0 3 , 3.92/1.26 0 5 1 ->= 0 0 0 0 5 1 , 3.92/1.26 2 0 5 ->= 0 3 2 5 1 1 , 3.92/1.26 3 3 0 ->= 3 4 2 3 3 0 , 3.92/1.26 1 3 3 0 ->= 1 4 2 2 2 0 , 3.92/1.26 1 4 0 2 ->= 2 0 3 4 0 2 , 3.92/1.26 3 3 3 0 ->= 3 3 0 4 1 0 , 3.92/1.26 4 0 2 3 ->= 4 0 3 4 3 2 } 3.92/1.26 3.92/1.26 3.92/1.26 The system was filtered by the following matrix interpretation 3.92/1.26 of type E_J with J = {1,...,2} and dimension 6: 3.92/1.26 3.92/1.26 1 is interpreted by 3.92/1.26 / \ 3.92/1.26 | 1 0 0 0 0 0 | 3.92/1.26 | 0 1 0 0 0 0 | 3.92/1.26 | 0 0 0 0 0 0 | 3.92/1.26 | 0 0 0 0 0 0 | 3.92/1.26 | 0 0 0 0 1 1 | 3.92/1.26 | 0 0 0 0 0 0 | 3.92/1.26 \ / 3.92/1.26 4 is interpreted by 3.92/1.26 / \ 3.92/1.26 | 1 0 1 0 0 0 | 3.92/1.26 | 0 1 0 0 0 0 | 3.92/1.26 | 0 0 0 0 0 0 | 3.92/1.26 | 0 0 0 0 0 0 | 3.92/1.26 | 0 0 0 0 0 0 | 3.92/1.26 | 0 1 0 0 0 0 | 3.92/1.26 \ / 3.92/1.26 3 is interpreted by 3.92/1.26 / \ 3.92/1.26 | 1 0 0 0 0 0 | 3.92/1.26 | 0 1 0 0 0 0 | 3.92/1.26 | 0 0 0 0 0 0 | 3.92/1.26 | 0 0 0 0 0 0 | 3.92/1.26 | 0 1 0 0 0 0 | 3.92/1.26 | 0 0 0 0 0 0 | 3.92/1.26 \ / 3.92/1.26 2 is interpreted by 3.92/1.26 / \ 3.92/1.26 | 1 0 0 0 0 0 | 3.92/1.26 | 0 1 0 0 0 0 | 3.92/1.26 | 0 0 0 0 0 0 | 3.92/1.26 | 0 0 0 0 1 0 | 3.92/1.26 | 0 0 0 0 0 0 | 3.92/1.26 | 0 0 0 0 0 0 | 3.92/1.26 \ / 3.92/1.26 5 is interpreted by 3.92/1.26 / \ 3.92/1.26 | 1 0 0 0 0 0 | 3.92/1.26 | 0 1 0 0 0 0 | 3.92/1.26 | 0 0 0 0 0 0 | 3.92/1.26 | 0 0 0 0 0 0 | 3.92/1.26 | 0 0 0 0 0 0 | 3.92/1.26 | 0 0 0 0 0 0 | 3.92/1.26 \ / 3.92/1.26 0 is interpreted by 3.92/1.26 / \ 3.92/1.26 | 1 0 0 0 0 0 | 3.92/1.26 | 0 1 0 0 0 0 | 3.92/1.26 | 0 0 0 1 0 0 | 3.92/1.26 | 0 0 0 0 0 0 | 3.92/1.26 | 0 0 0 0 0 0 | 3.92/1.26 | 0 0 0 0 0 0 | 3.92/1.26 \ / 3.92/1.26 3.92/1.26 Remains to prove termination of the 9-rule system 3.92/1.26 { 1 4 -> 3 1 1 2 2 4 , 3.92/1.26 0 0 ->= 1 2 1 0 2 0 , 3.92/1.26 0 3 ->= 1 2 1 2 0 3 , 3.92/1.26 0 5 1 ->= 0 0 0 0 5 1 , 3.92/1.26 2 0 5 ->= 0 3 2 5 1 1 , 3.92/1.26 3 3 0 ->= 3 4 2 3 3 0 , 3.92/1.26 1 3 3 0 ->= 1 4 2 2 2 0 , 3.92/1.26 1 4 0 2 ->= 2 0 3 4 0 2 , 3.92/1.26 3 3 3 0 ->= 3 3 0 4 1 0 } 3.92/1.26 3.92/1.26 3.92/1.26 The system was filtered by the following matrix interpretation 3.92/1.26 of type E_J with J = {1,...,2} and dimension 5: 3.92/1.26 3.92/1.26 1 is interpreted by 3.92/1.26 / \ 3.92/1.26 | 1 0 1 0 0 | 3.92/1.26 | 0 1 0 0 0 | 3.92/1.26 | 0 0 0 0 0 | 3.92/1.26 | 0 0 0 0 0 | 3.92/1.26 | 0 0 1 0 0 | 3.92/1.26 \ / 3.92/1.26 4 is interpreted by 3.92/1.26 / \ 3.92/1.26 | 1 0 0 0 0 | 3.92/1.26 | 0 1 0 0 0 | 3.92/1.26 | 0 0 0 1 0 | 3.92/1.26 | 0 0 0 0 0 | 3.92/1.26 | 0 0 0 0 0 | 3.92/1.26 \ / 3.92/1.26 3 is interpreted by 3.92/1.26 / \ 3.92/1.26 | 1 0 0 0 0 | 3.92/1.26 | 0 1 0 0 0 | 3.92/1.26 | 0 0 0 0 0 | 3.92/1.26 | 0 0 0 0 0 | 3.92/1.26 | 0 0 0 0 0 | 3.92/1.26 \ / 3.92/1.26 2 is interpreted by 3.92/1.26 / \ 3.92/1.26 | 1 0 0 0 0 | 3.92/1.26 | 0 1 0 0 0 | 3.92/1.26 | 0 0 0 0 0 | 3.92/1.26 | 0 0 0 0 0 | 3.92/1.26 | 0 1 0 0 0 | 3.92/1.26 \ / 3.92/1.26 5 is interpreted by 3.92/1.26 / \ 3.92/1.26 | 1 0 1 0 0 | 3.92/1.26 | 0 1 0 0 0 | 3.92/1.26 | 0 0 0 0 0 | 3.92/1.26 | 0 0 0 0 0 | 3.92/1.26 | 0 0 0 0 0 | 3.92/1.26 \ / 3.92/1.26 0 is interpreted by 3.92/1.26 / \ 3.92/1.26 | 1 0 0 0 0 | 3.92/1.26 | 0 1 0 0 0 | 3.92/1.26 | 0 0 0 0 0 | 3.92/1.26 | 0 0 0 0 1 | 3.92/1.26 | 0 0 0 0 0 | 3.92/1.26 \ / 3.92/1.26 3.92/1.26 Remains to prove termination of the 8-rule system 3.92/1.26 { 1 4 -> 3 1 1 2 2 4 , 3.92/1.26 0 0 ->= 1 2 1 0 2 0 , 3.92/1.26 0 3 ->= 1 2 1 2 0 3 , 3.92/1.26 0 5 1 ->= 0 0 0 0 5 1 , 3.92/1.26 2 0 5 ->= 0 3 2 5 1 1 , 3.92/1.26 3 3 0 ->= 3 4 2 3 3 0 , 3.92/1.26 1 3 3 0 ->= 1 4 2 2 2 0 , 3.92/1.26 3 3 3 0 ->= 3 3 0 4 1 0 } 3.92/1.26 3.92/1.26 3.92/1.26 The system was filtered by the following matrix interpretation 3.92/1.26 of type E_J with J = {1,...,2} and dimension 5: 3.92/1.26 3.92/1.26 1 is interpreted by 3.92/1.26 / \ 3.92/1.26 | 1 0 0 0 0 | 3.92/1.26 | 0 1 0 0 0 | 3.92/1.26 | 0 0 0 0 0 | 3.92/1.26 | 0 0 0 0 0 | 3.92/1.26 | 0 0 0 0 0 | 3.92/1.26 \ / 3.92/1.26 4 is interpreted by 3.92/1.26 / \ 3.92/1.26 | 1 0 0 0 0 | 3.92/1.26 | 0 1 0 0 0 | 3.92/1.26 | 0 0 0 0 0 | 3.92/1.26 | 0 0 0 0 0 | 3.92/1.26 | 0 0 0 0 0 | 3.92/1.26 \ / 3.92/1.26 3 is interpreted by 3.92/1.26 / \ 3.92/1.26 | 1 0 1 0 0 | 3.92/1.26 | 0 1 0 0 0 | 3.92/1.26 | 0 0 1 1 0 | 3.92/1.26 | 0 0 0 0 1 | 3.92/1.26 | 0 0 0 0 0 | 3.92/1.26 \ / 3.92/1.26 2 is interpreted by 3.92/1.26 / \ 3.92/1.26 | 1 0 0 0 0 | 3.92/1.26 | 0 1 0 0 0 | 3.92/1.26 | 0 0 0 0 0 | 3.92/1.26 | 0 0 0 0 0 | 3.92/1.26 | 0 1 0 0 0 | 3.92/1.26 \ / 3.92/1.26 5 is interpreted by 3.92/1.26 / \ 3.92/1.26 | 1 0 0 0 0 | 3.92/1.26 | 0 1 0 0 0 | 3.92/1.26 | 0 0 0 0 0 | 3.92/1.26 | 0 0 0 0 0 | 3.92/1.26 | 0 0 0 0 0 | 3.92/1.26 \ / 3.92/1.26 0 is interpreted by 3.92/1.26 / \ 3.92/1.26 | 1 0 0 0 0 | 3.92/1.26 | 0 1 0 0 0 | 3.92/1.26 | 0 0 0 0 0 | 3.92/1.26 | 0 0 0 0 0 | 3.92/1.26 | 0 1 0 0 0 | 3.92/1.26 \ / 3.92/1.26 3.92/1.26 Remains to prove termination of the 7-rule system 3.92/1.26 { 1 4 -> 3 1 1 2 2 4 , 3.92/1.26 0 0 ->= 1 2 1 0 2 0 , 3.92/1.26 0 3 ->= 1 2 1 2 0 3 , 3.92/1.26 0 5 1 ->= 0 0 0 0 5 1 , 3.92/1.26 2 0 5 ->= 0 3 2 5 1 1 , 3.92/1.26 3 3 0 ->= 3 4 2 3 3 0 , 3.92/1.26 1 3 3 0 ->= 1 4 2 2 2 0 } 3.92/1.26 3.92/1.26 3.92/1.26 The system was filtered by the following matrix interpretation 3.92/1.26 of type E_J with J = {1,...,2} and dimension 5: 3.92/1.26 3.92/1.26 1 is interpreted by 3.92/1.26 / \ 3.92/1.26 | 1 0 1 0 0 | 3.92/1.26 | 0 1 0 0 0 | 3.92/1.26 | 0 0 0 0 0 | 3.92/1.26 | 0 0 0 0 0 | 3.92/1.26 | 0 0 0 0 0 | 3.92/1.26 \ / 3.92/1.26 4 is interpreted by 3.92/1.26 / \ 3.92/1.26 | 1 0 0 0 0 | 3.92/1.26 | 0 1 0 0 0 | 3.92/1.26 | 0 0 0 0 0 | 3.92/1.26 | 0 0 0 0 0 | 3.92/1.26 | 0 0 0 0 0 | 3.92/1.26 \ / 3.92/1.26 3 is interpreted by 3.92/1.26 / \ 3.92/1.26 | 1 0 0 0 0 | 3.92/1.26 | 0 1 0 0 0 | 3.92/1.26 | 0 0 0 1 0 | 3.92/1.26 | 0 0 0 0 1 | 3.92/1.26 | 0 0 0 0 0 | 3.92/1.26 \ / 3.92/1.26 2 is interpreted by 3.92/1.26 / \ 3.92/1.26 | 1 0 0 0 0 | 3.92/1.26 | 0 1 0 0 0 | 3.92/1.26 | 0 0 0 0 0 | 3.92/1.26 | 0 0 0 0 0 | 3.92/1.26 | 0 1 0 0 0 | 3.92/1.26 \ / 3.92/1.26 5 is interpreted by 3.92/1.26 / \ 3.92/1.26 | 1 0 1 0 0 | 3.92/1.26 | 0 1 0 0 0 | 3.92/1.26 | 0 0 0 0 0 | 3.92/1.26 | 0 0 0 0 0 | 3.92/1.26 | 0 0 0 0 0 | 3.92/1.26 \ / 3.92/1.26 0 is interpreted by 3.92/1.26 / \ 3.92/1.26 | 1 0 0 0 0 | 3.92/1.26 | 0 1 0 0 0 | 3.92/1.26 | 0 0 0 0 0 | 3.92/1.26 | 0 0 0 0 0 | 3.92/1.26 | 0 1 0 0 0 | 3.92/1.26 \ / 3.92/1.26 3.92/1.26 Remains to prove termination of the 6-rule system 3.92/1.26 { 1 4 -> 3 1 1 2 2 4 , 3.92/1.26 0 0 ->= 1 2 1 0 2 0 , 3.92/1.26 0 3 ->= 1 2 1 2 0 3 , 3.92/1.26 0 5 1 ->= 0 0 0 0 5 1 , 3.92/1.26 2 0 5 ->= 0 3 2 5 1 1 , 3.92/1.26 3 3 0 ->= 3 4 2 3 3 0 } 3.92/1.26 3.92/1.26 3.92/1.26 The system was filtered by the following matrix interpretation 3.92/1.26 of type E_J with J = {1,...,2} and dimension 3: 3.92/1.26 3.92/1.26 1 is interpreted by 3.92/1.26 / \ 3.92/1.26 | 1 0 1 | 3.92/1.26 | 0 1 0 | 3.92/1.26 | 0 0 0 | 3.92/1.26 \ / 3.92/1.26 4 is interpreted by 3.92/1.26 / \ 3.92/1.26 | 1 0 0 | 3.92/1.26 | 0 1 0 | 3.92/1.26 | 0 1 0 | 3.92/1.26 \ / 3.92/1.26 3 is interpreted by 3.92/1.26 / \ 3.92/1.26 | 1 0 0 | 3.92/1.26 | 0 1 0 | 3.92/1.26 | 0 0 0 | 3.92/1.26 \ / 3.92/1.26 2 is interpreted by 3.92/1.26 / \ 3.92/1.26 | 1 0 0 | 3.92/1.26 | 0 1 0 | 3.92/1.26 | 0 0 0 | 3.92/1.26 \ / 3.92/1.26 5 is interpreted by 3.92/1.26 / \ 3.92/1.26 | 1 0 1 | 3.92/1.26 | 0 1 0 | 3.92/1.26 | 0 0 0 | 3.92/1.26 \ / 3.92/1.26 0 is interpreted by 3.92/1.26 / \ 3.92/1.26 | 1 0 0 | 3.92/1.26 | 0 1 0 | 3.92/1.26 | 0 0 0 | 3.92/1.26 \ / 3.92/1.26 3.92/1.26 Remains to prove termination of the 5-rule system 3.92/1.26 { 0 0 ->= 1 2 1 0 2 0 , 3.92/1.26 0 3 ->= 1 2 1 2 0 3 , 3.92/1.26 0 5 1 ->= 0 0 0 0 5 1 , 3.92/1.26 2 0 5 ->= 0 3 2 5 1 1 , 3.92/1.26 3 3 0 ->= 3 4 2 3 3 0 } 3.92/1.26 3.92/1.26 3.92/1.26 The system is trivially terminating. 3.92/1.28 EOF