0.00/0.51 YES 0.00/0.54 0.00/0.54 0.00/0.54 0.00/0.54 0.00/0.54 The system was filtered by the following matrix interpretation 0.00/0.54 of type E_J with J = {1,...,2} and dimension 2: 0.00/0.54 0.00/0.54 a12 is interpreted by 0.00/0.54 / \ 0.00/0.54 | 1 0 | 0.00/0.54 | 0 1 | 0.00/0.54 \ / 0.00/0.54 a13 is interpreted by 0.00/0.54 / \ 0.00/0.54 | 1 1 | 0.00/0.54 | 0 1 | 0.00/0.54 \ / 0.00/0.54 a14 is interpreted by 0.00/0.54 / \ 0.00/0.54 | 1 0 | 0.00/0.54 | 0 1 | 0.00/0.54 \ / 0.00/0.54 a15 is interpreted by 0.00/0.54 / \ 0.00/0.54 | 1 0 | 0.00/0.54 | 0 1 | 0.00/0.54 \ / 0.00/0.54 a16 is interpreted by 0.00/0.54 / \ 0.00/0.54 | 1 0 | 0.00/0.54 | 0 1 | 0.00/0.54 \ / 0.00/0.54 a23 is interpreted by 0.00/0.54 / \ 0.00/0.54 | 1 0 | 0.00/0.54 | 0 1 | 0.00/0.54 \ / 0.00/0.54 a24 is interpreted by 0.00/0.54 / \ 0.00/0.54 | 1 0 | 0.00/0.54 | 0 1 | 0.00/0.54 \ / 0.00/0.54 a25 is interpreted by 0.00/0.54 / \ 0.00/0.54 | 1 0 | 0.00/0.54 | 0 1 | 0.00/0.54 \ / 0.00/0.54 a26 is interpreted by 0.00/0.54 / \ 0.00/0.54 | 1 0 | 0.00/0.54 | 0 1 | 0.00/0.54 \ / 0.00/0.54 a34 is interpreted by 0.00/0.54 / \ 0.00/0.54 | 1 0 | 0.00/0.54 | 0 1 | 0.00/0.54 \ / 0.00/0.54 a35 is interpreted by 0.00/0.54 / \ 0.00/0.54 | 1 0 | 0.00/0.54 | 0 1 | 0.00/0.54 \ / 0.00/0.54 a36 is interpreted by 0.00/0.54 / \ 0.00/0.54 | 1 0 | 0.00/0.54 | 0 1 | 0.00/0.54 \ / 0.00/0.54 a45 is interpreted by 0.00/0.54 / \ 0.00/0.54 | 1 0 | 0.00/0.54 | 0 1 | 0.00/0.54 \ / 0.00/0.54 a46 is interpreted by 0.00/0.54 / \ 0.00/0.54 | 1 0 | 0.00/0.54 | 0 1 | 0.00/0.54 \ / 0.00/0.54 a56 is interpreted by 0.00/0.54 / \ 0.00/0.54 | 1 0 | 0.00/0.54 | 0 1 | 0.00/0.54 \ / 0.00/0.54 0.00/0.54 Remains to prove termination of the 33-rule system 0.00/0.54 { a12 a12 -> , 0.00/0.54 a14 a14 -> , 0.00/0.54 a15 a15 -> , 0.00/0.54 a16 a16 -> , 0.00/0.54 a23 a23 -> , 0.00/0.54 a24 a24 -> , 0.00/0.54 a25 a25 -> , 0.00/0.54 a26 a26 -> , 0.00/0.54 a34 a34 -> , 0.00/0.54 a35 a35 -> , 0.00/0.54 a36 a36 -> , 0.00/0.54 a45 a45 -> , 0.00/0.54 a46 a46 -> , 0.00/0.54 a56 a56 -> , 0.00/0.54 a14 -> a12 a23 a34 a23 a12 , 0.00/0.54 a15 -> a12 a23 a34 a45 a34 a23 a12 , 0.00/0.54 a16 -> a12 a23 a34 a45 a56 a45 a34 a23 a12 , 0.00/0.54 a24 -> a23 a34 a23 , 0.00/0.54 a25 -> a23 a34 a45 a34 a23 , 0.00/0.54 a26 -> a23 a34 a45 a56 a45 a34 a23 , 0.00/0.54 a35 -> a34 a45 a34 , 0.00/0.54 a36 -> a34 a45 a56 a45 a34 , 0.00/0.54 a46 -> a45 a56 a45 , 0.00/0.54 a12 a23 a12 a23 a12 a23 -> , 0.00/0.54 a23 a34 a23 a34 a23 a34 -> , 0.00/0.54 a34 a45 a34 a45 a34 a45 -> , 0.00/0.54 a45 a56 a45 a56 a45 a56 -> , 0.00/0.54 a12 a34 -> a34 a12 , 0.00/0.54 a12 a45 -> a45 a12 , 0.00/0.54 a12 a56 -> a56 a12 , 0.00/0.54 a23 a45 -> a45 a23 , 0.00/0.54 a23 a56 -> a56 a23 , 0.00/0.54 a34 a56 -> a56 a34 } 0.00/0.54 0.00/0.54 0.00/0.54 The system was filtered by the following matrix interpretation 0.00/0.54 of type E_J with J = {1,...,2} and dimension 2: 0.00/0.54 0.00/0.54 a12 is interpreted by 0.00/0.54 / \ 0.00/0.54 | 1 0 | 0.00/0.54 | 0 1 | 0.00/0.54 \ / 0.00/0.54 a13 is interpreted by 0.00/0.54 / \ 0.00/0.54 | 1 0 | 0.00/0.54 | 0 1 | 0.00/0.54 \ / 0.00/0.54 a14 is interpreted by 0.00/0.54 / \ 0.00/0.54 | 1 1 | 0.00/0.54 | 0 1 | 0.00/0.54 \ / 0.00/0.54 a15 is interpreted by 0.00/0.54 / \ 0.00/0.54 | 1 0 | 0.00/0.54 | 0 1 | 0.00/0.54 \ / 0.00/0.54 a16 is interpreted by 0.00/0.54 / \ 0.00/0.54 | 1 0 | 0.00/0.54 | 0 1 | 0.00/0.54 \ / 0.00/0.54 a23 is interpreted by 0.00/0.54 / \ 0.00/0.54 | 1 0 | 0.00/0.54 | 0 1 | 0.00/0.54 \ / 0.00/0.54 a24 is interpreted by 0.00/0.54 / \ 0.00/0.54 | 1 0 | 0.00/0.54 | 0 1 | 0.00/0.54 \ / 0.00/0.54 a25 is interpreted by 0.00/0.54 / \ 0.00/0.54 | 1 0 | 0.00/0.54 | 0 1 | 0.00/0.54 \ / 0.00/0.54 a26 is interpreted by 0.00/0.54 / \ 0.00/0.54 | 1 0 | 0.00/0.54 | 0 1 | 0.00/0.54 \ / 0.00/0.54 a34 is interpreted by 0.00/0.54 / \ 0.00/0.54 | 1 0 | 0.00/0.54 | 0 1 | 0.00/0.54 \ / 0.00/0.54 a35 is interpreted by 0.00/0.54 / \ 0.00/0.54 | 1 0 | 0.00/0.54 | 0 1 | 0.00/0.54 \ / 0.00/0.54 a36 is interpreted by 0.00/0.54 / \ 0.00/0.54 | 1 0 | 0.00/0.54 | 0 1 | 0.00/0.54 \ / 0.00/0.54 a45 is interpreted by 0.00/0.54 / \ 0.00/0.54 | 1 0 | 0.00/0.54 | 0 1 | 0.00/0.54 \ / 0.00/0.54 a46 is interpreted by 0.00/0.54 / \ 0.00/0.54 | 1 0 | 0.00/0.54 | 0 1 | 0.00/0.54 \ / 0.00/0.54 a56 is interpreted by 0.00/0.54 / \ 0.00/0.54 | 1 0 | 0.00/0.54 | 0 1 | 0.00/0.54 \ / 0.00/0.54 0.00/0.54 Remains to prove termination of the 31-rule system 0.00/0.54 { a12 a12 -> , 0.00/0.54 a15 a15 -> , 0.00/0.54 a16 a16 -> , 0.00/0.54 a23 a23 -> , 0.00/0.54 a24 a24 -> , 0.00/0.54 a25 a25 -> , 0.00/0.54 a26 a26 -> , 0.00/0.54 a34 a34 -> , 0.00/0.54 a35 a35 -> , 0.00/0.54 a36 a36 -> , 0.00/0.54 a45 a45 -> , 0.00/0.54 a46 a46 -> , 0.00/0.54 a56 a56 -> , 0.00/0.54 a15 -> a12 a23 a34 a45 a34 a23 a12 , 0.00/0.54 a16 -> a12 a23 a34 a45 a56 a45 a34 a23 a12 , 0.00/0.54 a24 -> a23 a34 a23 , 0.00/0.54 a25 -> a23 a34 a45 a34 a23 , 0.00/0.54 a26 -> a23 a34 a45 a56 a45 a34 a23 , 0.00/0.54 a35 -> a34 a45 a34 , 0.00/0.54 a36 -> a34 a45 a56 a45 a34 , 0.00/0.55 a46 -> a45 a56 a45 , 0.00/0.55 a12 a23 a12 a23 a12 a23 -> , 0.00/0.55 a23 a34 a23 a34 a23 a34 -> , 0.00/0.55 a34 a45 a34 a45 a34 a45 -> , 0.00/0.55 a45 a56 a45 a56 a45 a56 -> , 0.00/0.55 a12 a34 -> a34 a12 , 0.00/0.55 a12 a45 -> a45 a12 , 0.00/0.55 a12 a56 -> a56 a12 , 0.00/0.55 a23 a45 -> a45 a23 , 0.00/0.55 a23 a56 -> a56 a23 , 0.00/0.55 a34 a56 -> a56 a34 } 0.00/0.55 0.00/0.55 0.00/0.55 The system was filtered by the following matrix interpretation 0.00/0.55 of type E_J with J = {1,...,2} and dimension 2: 0.00/0.55 0.00/0.55 a12 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a13 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a14 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a15 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 1 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a16 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a23 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a24 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a25 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a26 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a34 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a35 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a36 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a45 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a46 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a56 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 0.00/0.55 Remains to prove termination of the 29-rule system 0.00/0.55 { a12 a12 -> , 0.00/0.55 a16 a16 -> , 0.00/0.55 a23 a23 -> , 0.00/0.55 a24 a24 -> , 0.00/0.55 a25 a25 -> , 0.00/0.55 a26 a26 -> , 0.00/0.55 a34 a34 -> , 0.00/0.55 a35 a35 -> , 0.00/0.55 a36 a36 -> , 0.00/0.55 a45 a45 -> , 0.00/0.55 a46 a46 -> , 0.00/0.55 a56 a56 -> , 0.00/0.55 a16 -> a12 a23 a34 a45 a56 a45 a34 a23 a12 , 0.00/0.55 a24 -> a23 a34 a23 , 0.00/0.55 a25 -> a23 a34 a45 a34 a23 , 0.00/0.55 a26 -> a23 a34 a45 a56 a45 a34 a23 , 0.00/0.55 a35 -> a34 a45 a34 , 0.00/0.55 a36 -> a34 a45 a56 a45 a34 , 0.00/0.55 a46 -> a45 a56 a45 , 0.00/0.55 a12 a23 a12 a23 a12 a23 -> , 0.00/0.55 a23 a34 a23 a34 a23 a34 -> , 0.00/0.55 a34 a45 a34 a45 a34 a45 -> , 0.00/0.55 a45 a56 a45 a56 a45 a56 -> , 0.00/0.55 a12 a34 -> a34 a12 , 0.00/0.55 a12 a45 -> a45 a12 , 0.00/0.55 a12 a56 -> a56 a12 , 0.00/0.55 a23 a45 -> a45 a23 , 0.00/0.55 a23 a56 -> a56 a23 , 0.00/0.55 a34 a56 -> a56 a34 } 0.00/0.55 0.00/0.55 0.00/0.55 The system was filtered by the following matrix interpretation 0.00/0.55 of type E_J with J = {1,...,2} and dimension 2: 0.00/0.55 0.00/0.55 a12 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a13 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a14 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a15 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a16 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 1 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a23 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a24 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a25 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a26 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a34 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a35 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a36 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a45 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a46 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a56 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 0.00/0.55 Remains to prove termination of the 27-rule system 0.00/0.55 { a12 a12 -> , 0.00/0.55 a23 a23 -> , 0.00/0.55 a24 a24 -> , 0.00/0.55 a25 a25 -> , 0.00/0.55 a26 a26 -> , 0.00/0.55 a34 a34 -> , 0.00/0.55 a35 a35 -> , 0.00/0.55 a36 a36 -> , 0.00/0.55 a45 a45 -> , 0.00/0.55 a46 a46 -> , 0.00/0.55 a56 a56 -> , 0.00/0.55 a24 -> a23 a34 a23 , 0.00/0.55 a25 -> a23 a34 a45 a34 a23 , 0.00/0.55 a26 -> a23 a34 a45 a56 a45 a34 a23 , 0.00/0.55 a35 -> a34 a45 a34 , 0.00/0.55 a36 -> a34 a45 a56 a45 a34 , 0.00/0.55 a46 -> a45 a56 a45 , 0.00/0.55 a12 a23 a12 a23 a12 a23 -> , 0.00/0.55 a23 a34 a23 a34 a23 a34 -> , 0.00/0.55 a34 a45 a34 a45 a34 a45 -> , 0.00/0.55 a45 a56 a45 a56 a45 a56 -> , 0.00/0.55 a12 a34 -> a34 a12 , 0.00/0.55 a12 a45 -> a45 a12 , 0.00/0.55 a12 a56 -> a56 a12 , 0.00/0.55 a23 a45 -> a45 a23 , 0.00/0.55 a23 a56 -> a56 a23 , 0.00/0.55 a34 a56 -> a56 a34 } 0.00/0.55 0.00/0.55 0.00/0.55 The system was filtered by the following matrix interpretation 0.00/0.55 of type E_J with J = {1,...,2} and dimension 2: 0.00/0.55 0.00/0.55 a12 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 1 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a13 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a14 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a15 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a16 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a23 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a24 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a25 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a26 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a34 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a35 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a36 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a45 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a46 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a56 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 0.00/0.55 Remains to prove termination of the 25-rule system 0.00/0.55 { a23 a23 -> , 0.00/0.55 a24 a24 -> , 0.00/0.55 a25 a25 -> , 0.00/0.55 a26 a26 -> , 0.00/0.55 a34 a34 -> , 0.00/0.55 a35 a35 -> , 0.00/0.55 a36 a36 -> , 0.00/0.55 a45 a45 -> , 0.00/0.55 a46 a46 -> , 0.00/0.55 a56 a56 -> , 0.00/0.55 a24 -> a23 a34 a23 , 0.00/0.55 a25 -> a23 a34 a45 a34 a23 , 0.00/0.55 a26 -> a23 a34 a45 a56 a45 a34 a23 , 0.00/0.55 a35 -> a34 a45 a34 , 0.00/0.55 a36 -> a34 a45 a56 a45 a34 , 0.00/0.55 a46 -> a45 a56 a45 , 0.00/0.55 a23 a34 a23 a34 a23 a34 -> , 0.00/0.55 a34 a45 a34 a45 a34 a45 -> , 0.00/0.55 a45 a56 a45 a56 a45 a56 -> , 0.00/0.55 a12 a34 -> a34 a12 , 0.00/0.55 a12 a45 -> a45 a12 , 0.00/0.55 a12 a56 -> a56 a12 , 0.00/0.55 a23 a45 -> a45 a23 , 0.00/0.55 a23 a56 -> a56 a23 , 0.00/0.55 a34 a56 -> a56 a34 } 0.00/0.55 0.00/0.55 0.00/0.55 The system was filtered by the following matrix interpretation 0.00/0.55 of type E_J with J = {1,...,2} and dimension 2: 0.00/0.55 0.00/0.55 a12 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a13 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a14 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a15 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a16 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a23 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a24 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 1 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a25 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a26 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a34 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a35 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a36 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a45 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a46 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a56 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 0.00/0.55 Remains to prove termination of the 23-rule system 0.00/0.55 { a23 a23 -> , 0.00/0.55 a25 a25 -> , 0.00/0.55 a26 a26 -> , 0.00/0.55 a34 a34 -> , 0.00/0.55 a35 a35 -> , 0.00/0.55 a36 a36 -> , 0.00/0.55 a45 a45 -> , 0.00/0.55 a46 a46 -> , 0.00/0.55 a56 a56 -> , 0.00/0.55 a25 -> a23 a34 a45 a34 a23 , 0.00/0.55 a26 -> a23 a34 a45 a56 a45 a34 a23 , 0.00/0.55 a35 -> a34 a45 a34 , 0.00/0.55 a36 -> a34 a45 a56 a45 a34 , 0.00/0.55 a46 -> a45 a56 a45 , 0.00/0.55 a23 a34 a23 a34 a23 a34 -> , 0.00/0.55 a34 a45 a34 a45 a34 a45 -> , 0.00/0.55 a45 a56 a45 a56 a45 a56 -> , 0.00/0.55 a12 a34 -> a34 a12 , 0.00/0.55 a12 a45 -> a45 a12 , 0.00/0.55 a12 a56 -> a56 a12 , 0.00/0.55 a23 a45 -> a45 a23 , 0.00/0.55 a23 a56 -> a56 a23 , 0.00/0.55 a34 a56 -> a56 a34 } 0.00/0.55 0.00/0.55 0.00/0.55 The system was filtered by the following matrix interpretation 0.00/0.55 of type E_J with J = {1,...,2} and dimension 2: 0.00/0.55 0.00/0.55 a12 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a13 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a14 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a15 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a16 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a23 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a24 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a25 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 1 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a26 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a34 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a35 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a36 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a45 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a46 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a56 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 0.00/0.55 Remains to prove termination of the 21-rule system 0.00/0.55 { a23 a23 -> , 0.00/0.55 a26 a26 -> , 0.00/0.55 a34 a34 -> , 0.00/0.55 a35 a35 -> , 0.00/0.55 a36 a36 -> , 0.00/0.55 a45 a45 -> , 0.00/0.55 a46 a46 -> , 0.00/0.55 a56 a56 -> , 0.00/0.55 a26 -> a23 a34 a45 a56 a45 a34 a23 , 0.00/0.55 a35 -> a34 a45 a34 , 0.00/0.55 a36 -> a34 a45 a56 a45 a34 , 0.00/0.55 a46 -> a45 a56 a45 , 0.00/0.55 a23 a34 a23 a34 a23 a34 -> , 0.00/0.55 a34 a45 a34 a45 a34 a45 -> , 0.00/0.55 a45 a56 a45 a56 a45 a56 -> , 0.00/0.55 a12 a34 -> a34 a12 , 0.00/0.55 a12 a45 -> a45 a12 , 0.00/0.55 a12 a56 -> a56 a12 , 0.00/0.55 a23 a45 -> a45 a23 , 0.00/0.55 a23 a56 -> a56 a23 , 0.00/0.55 a34 a56 -> a56 a34 } 0.00/0.55 0.00/0.55 0.00/0.55 The system was filtered by the following matrix interpretation 0.00/0.55 of type E_J with J = {1,...,2} and dimension 2: 0.00/0.55 0.00/0.55 a12 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a13 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a14 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a15 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a16 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a23 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a24 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a25 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a26 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 1 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a34 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a35 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a36 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a45 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a46 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a56 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 0.00/0.55 Remains to prove termination of the 19-rule system 0.00/0.55 { a23 a23 -> , 0.00/0.55 a34 a34 -> , 0.00/0.55 a35 a35 -> , 0.00/0.55 a36 a36 -> , 0.00/0.55 a45 a45 -> , 0.00/0.55 a46 a46 -> , 0.00/0.55 a56 a56 -> , 0.00/0.55 a35 -> a34 a45 a34 , 0.00/0.55 a36 -> a34 a45 a56 a45 a34 , 0.00/0.55 a46 -> a45 a56 a45 , 0.00/0.55 a23 a34 a23 a34 a23 a34 -> , 0.00/0.55 a34 a45 a34 a45 a34 a45 -> , 0.00/0.55 a45 a56 a45 a56 a45 a56 -> , 0.00/0.55 a12 a34 -> a34 a12 , 0.00/0.55 a12 a45 -> a45 a12 , 0.00/0.55 a12 a56 -> a56 a12 , 0.00/0.55 a23 a45 -> a45 a23 , 0.00/0.55 a23 a56 -> a56 a23 , 0.00/0.55 a34 a56 -> a56 a34 } 0.00/0.55 0.00/0.55 0.00/0.55 The system was filtered by the following matrix interpretation 0.00/0.55 of type E_J with J = {1,...,2} and dimension 2: 0.00/0.55 0.00/0.55 a12 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a13 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a14 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a15 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a16 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a23 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 1 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a24 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a25 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a26 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a34 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a35 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a36 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a45 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a46 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a56 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 0.00/0.55 Remains to prove termination of the 17-rule system 0.00/0.55 { a34 a34 -> , 0.00/0.55 a35 a35 -> , 0.00/0.55 a36 a36 -> , 0.00/0.55 a45 a45 -> , 0.00/0.55 a46 a46 -> , 0.00/0.55 a56 a56 -> , 0.00/0.55 a35 -> a34 a45 a34 , 0.00/0.55 a36 -> a34 a45 a56 a45 a34 , 0.00/0.55 a46 -> a45 a56 a45 , 0.00/0.55 a34 a45 a34 a45 a34 a45 -> , 0.00/0.55 a45 a56 a45 a56 a45 a56 -> , 0.00/0.55 a12 a34 -> a34 a12 , 0.00/0.55 a12 a45 -> a45 a12 , 0.00/0.55 a12 a56 -> a56 a12 , 0.00/0.55 a23 a45 -> a45 a23 , 0.00/0.55 a23 a56 -> a56 a23 , 0.00/0.55 a34 a56 -> a56 a34 } 0.00/0.55 0.00/0.55 0.00/0.55 The system was filtered by the following matrix interpretation 0.00/0.55 of type E_J with J = {1,...,2} and dimension 2: 0.00/0.55 0.00/0.55 a12 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a13 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a14 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a15 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a16 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a23 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a24 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a25 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a26 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a34 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a35 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 1 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a36 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a45 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a46 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a56 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 0.00/0.55 Remains to prove termination of the 15-rule system 0.00/0.55 { a34 a34 -> , 0.00/0.55 a36 a36 -> , 0.00/0.55 a45 a45 -> , 0.00/0.55 a46 a46 -> , 0.00/0.55 a56 a56 -> , 0.00/0.55 a36 -> a34 a45 a56 a45 a34 , 0.00/0.55 a46 -> a45 a56 a45 , 0.00/0.55 a34 a45 a34 a45 a34 a45 -> , 0.00/0.55 a45 a56 a45 a56 a45 a56 -> , 0.00/0.55 a12 a34 -> a34 a12 , 0.00/0.55 a12 a45 -> a45 a12 , 0.00/0.55 a12 a56 -> a56 a12 , 0.00/0.55 a23 a45 -> a45 a23 , 0.00/0.55 a23 a56 -> a56 a23 , 0.00/0.55 a34 a56 -> a56 a34 } 0.00/0.55 0.00/0.55 0.00/0.55 The system was filtered by the following matrix interpretation 0.00/0.55 of type E_J with J = {1,...,2} and dimension 2: 0.00/0.55 0.00/0.55 a12 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a13 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a14 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a15 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a16 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a23 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a24 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a25 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a26 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a34 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a35 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a36 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 1 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a45 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a46 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a56 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 0.00/0.55 Remains to prove termination of the 13-rule system 0.00/0.55 { a34 a34 -> , 0.00/0.55 a45 a45 -> , 0.00/0.55 a46 a46 -> , 0.00/0.55 a56 a56 -> , 0.00/0.55 a46 -> a45 a56 a45 , 0.00/0.55 a34 a45 a34 a45 a34 a45 -> , 0.00/0.55 a45 a56 a45 a56 a45 a56 -> , 0.00/0.55 a12 a34 -> a34 a12 , 0.00/0.55 a12 a45 -> a45 a12 , 0.00/0.55 a12 a56 -> a56 a12 , 0.00/0.55 a23 a45 -> a45 a23 , 0.00/0.55 a23 a56 -> a56 a23 , 0.00/0.55 a34 a56 -> a56 a34 } 0.00/0.55 0.00/0.55 0.00/0.55 The system was filtered by the following matrix interpretation 0.00/0.55 of type E_J with J = {1,...,2} and dimension 2: 0.00/0.55 0.00/0.55 a12 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a13 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a14 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a15 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a16 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a23 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a24 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a25 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a26 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a34 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 1 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a35 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a36 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a45 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a46 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a56 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 0.00/0.55 Remains to prove termination of the 11-rule system 0.00/0.55 { a45 a45 -> , 0.00/0.55 a46 a46 -> , 0.00/0.55 a56 a56 -> , 0.00/0.55 a46 -> a45 a56 a45 , 0.00/0.55 a45 a56 a45 a56 a45 a56 -> , 0.00/0.55 a12 a34 -> a34 a12 , 0.00/0.55 a12 a45 -> a45 a12 , 0.00/0.55 a12 a56 -> a56 a12 , 0.00/0.55 a23 a45 -> a45 a23 , 0.00/0.55 a23 a56 -> a56 a23 , 0.00/0.55 a34 a56 -> a56 a34 } 0.00/0.55 0.00/0.55 0.00/0.55 The system was filtered by the following matrix interpretation 0.00/0.55 of type E_J with J = {1,...,2} and dimension 2: 0.00/0.55 0.00/0.55 a12 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a13 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a14 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a15 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a16 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a23 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a24 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a25 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a26 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a34 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a35 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a36 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a45 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a46 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 1 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a56 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 0.00/0.55 Remains to prove termination of the 9-rule system 0.00/0.55 { a45 a45 -> , 0.00/0.55 a56 a56 -> , 0.00/0.55 a45 a56 a45 a56 a45 a56 -> , 0.00/0.55 a12 a34 -> a34 a12 , 0.00/0.55 a12 a45 -> a45 a12 , 0.00/0.55 a12 a56 -> a56 a12 , 0.00/0.55 a23 a45 -> a45 a23 , 0.00/0.55 a23 a56 -> a56 a23 , 0.00/0.55 a34 a56 -> a56 a34 } 0.00/0.55 0.00/0.55 0.00/0.55 The system was filtered by the following matrix interpretation 0.00/0.55 of type E_J with J = {1,...,2} and dimension 2: 0.00/0.55 0.00/0.55 a12 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a13 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a14 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a15 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a16 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a23 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a24 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a25 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a26 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a34 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a35 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a36 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a45 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 1 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a46 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a56 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 0.00/0.55 Remains to prove termination of the 7-rule system 0.00/0.55 { a56 a56 -> , 0.00/0.55 a12 a34 -> a34 a12 , 0.00/0.55 a12 a45 -> a45 a12 , 0.00/0.55 a12 a56 -> a56 a12 , 0.00/0.55 a23 a45 -> a45 a23 , 0.00/0.55 a23 a56 -> a56 a23 , 0.00/0.55 a34 a56 -> a56 a34 } 0.00/0.55 0.00/0.55 0.00/0.55 The system was filtered by the following matrix interpretation 0.00/0.55 of type E_J with J = {1,...,2} and dimension 2: 0.00/0.55 0.00/0.55 a12 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a13 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a14 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a15 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a16 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a23 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a24 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a25 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a26 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a34 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a35 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a36 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a45 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a46 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 a56 is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 1 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 0.00/0.55 Remains to prove termination of the 6-rule system 0.00/0.55 { a12 a34 -> a34 a12 , 0.00/0.55 a12 a45 -> a45 a12 , 0.00/0.55 a12 a56 -> a56 a12 , 0.00/0.55 a23 a45 -> a45 a23 , 0.00/0.55 a23 a56 -> a56 a23 , 0.00/0.55 a34 a56 -> a56 a34 } 0.00/0.55 0.00/0.55 0.00/0.55 The system was reversed. 0.00/0.55 0.00/0.55 Remains to prove termination of the 6-rule system 0.00/0.55 { a34 a12 -> a12 a34 , 0.00/0.55 a45 a12 -> a12 a45 , 0.00/0.55 a56 a12 -> a12 a56 , 0.00/0.55 a45 a23 -> a23 a45 , 0.00/0.55 a56 a23 -> a23 a56 , 0.00/0.55 a56 a34 -> a34 a56 } 0.00/0.55 0.00/0.55 0.00/0.55 The dependency pairs transformation was applied. 0.00/0.55 0.00/0.55 Remains to prove termination of the 13-rule system 0.00/0.55 { (a34,true) (a12,false) -> (a34,true) , 0.00/0.55 (a45,true) (a12,false) -> (a45,true) , 0.00/0.55 (a56,true) (a12,false) -> (a56,true) , 0.00/0.55 (a45,true) (a23,false) -> (a45,true) , 0.00/0.55 (a56,true) (a23,false) -> (a56,true) , 0.00/0.55 (a56,true) (a34,false) -> (a34,true) (a56,false) , 0.00/0.55 (a56,true) (a34,false) -> (a56,true) , 0.00/0.55 (a34,false) (a12,false) ->= (a12,false) (a34,false) , 0.00/0.55 (a45,false) (a12,false) ->= (a12,false) (a45,false) , 0.00/0.55 (a56,false) (a12,false) ->= (a12,false) (a56,false) , 0.00/0.55 (a45,false) (a23,false) ->= (a23,false) (a45,false) , 0.00/0.55 (a56,false) (a23,false) ->= (a23,false) (a56,false) , 0.00/0.55 (a56,false) (a34,false) ->= (a34,false) (a56,false) } 0.00/0.55 0.00/0.55 0.00/0.55 0.00/0.55 0.00/0.55 The system was filtered by the following matrix interpretation 0.00/0.55 of type E_J with J = {1,...,2} and dimension 2: 0.00/0.55 0.00/0.55 (a34,true) is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 (a12,false) is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 1 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 (a45,true) is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 (a56,true) is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 (a23,false) is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 (a34,false) is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 (a56,false) is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 (a45,false) is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 0.00/0.55 Remains to prove termination of the 10-rule system 0.00/0.55 { (a45,true) (a23,false) -> (a45,true) , 0.00/0.55 (a56,true) (a23,false) -> (a56,true) , 0.00/0.55 (a56,true) (a34,false) -> (a34,true) (a56,false) , 0.00/0.55 (a56,true) (a34,false) -> (a56,true) , 0.00/0.55 (a34,false) (a12,false) ->= (a12,false) (a34,false) , 0.00/0.55 (a45,false) (a12,false) ->= (a12,false) (a45,false) , 0.00/0.55 (a56,false) (a12,false) ->= (a12,false) (a56,false) , 0.00/0.55 (a45,false) (a23,false) ->= (a23,false) (a45,false) , 0.00/0.55 (a56,false) (a23,false) ->= (a23,false) (a56,false) , 0.00/0.55 (a56,false) (a34,false) ->= (a34,false) (a56,false) } 0.00/0.55 0.00/0.55 0.00/0.55 The system was filtered by the following matrix interpretation 0.00/0.55 of type E_J with J = {1,...,2} and dimension 2: 0.00/0.55 0.00/0.55 (a34,true) is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 (a12,false) is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 (a45,true) is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 (a56,true) is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 1 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 (a23,false) is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 (a34,false) is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 (a56,false) is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 (a45,false) is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 0.00/0.55 Remains to prove termination of the 9-rule system 0.00/0.55 { (a45,true) (a23,false) -> (a45,true) , 0.00/0.55 (a56,true) (a23,false) -> (a56,true) , 0.00/0.55 (a56,true) (a34,false) -> (a56,true) , 0.00/0.55 (a34,false) (a12,false) ->= (a12,false) (a34,false) , 0.00/0.55 (a45,false) (a12,false) ->= (a12,false) (a45,false) , 0.00/0.55 (a56,false) (a12,false) ->= (a12,false) (a56,false) , 0.00/0.55 (a45,false) (a23,false) ->= (a23,false) (a45,false) , 0.00/0.55 (a56,false) (a23,false) ->= (a23,false) (a56,false) , 0.00/0.55 (a56,false) (a34,false) ->= (a34,false) (a56,false) } 0.00/0.55 0.00/0.55 0.00/0.55 The system was filtered by the following matrix interpretation 0.00/0.55 of type E_J with J = {1,...,2} and dimension 2: 0.00/0.55 0.00/0.55 (a34,true) is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 (a12,false) is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 (a45,true) is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 (a56,true) is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 (a23,false) is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 1 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 (a34,false) is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 (a56,false) is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 (a45,false) is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 0.00/0.55 Remains to prove termination of the 7-rule system 0.00/0.55 { (a56,true) (a34,false) -> (a56,true) , 0.00/0.55 (a34,false) (a12,false) ->= (a12,false) (a34,false) , 0.00/0.55 (a45,false) (a12,false) ->= (a12,false) (a45,false) , 0.00/0.55 (a56,false) (a12,false) ->= (a12,false) (a56,false) , 0.00/0.55 (a45,false) (a23,false) ->= (a23,false) (a45,false) , 0.00/0.55 (a56,false) (a23,false) ->= (a23,false) (a56,false) , 0.00/0.55 (a56,false) (a34,false) ->= (a34,false) (a56,false) } 0.00/0.55 0.00/0.55 0.00/0.55 The system was filtered by the following matrix interpretation 0.00/0.55 of type E_J with J = {1,...,2} and dimension 2: 0.00/0.55 0.00/0.55 (a34,true) is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 (a12,false) is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 (a45,true) is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 (a56,true) is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 (a23,false) is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 (a34,false) is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 1 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 (a56,false) is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 (a45,false) is interpreted by 0.00/0.55 / \ 0.00/0.55 | 1 0 | 0.00/0.55 | 0 1 | 0.00/0.55 \ / 0.00/0.55 0.00/0.55 Remains to prove termination of the 6-rule system 0.00/0.55 { (a34,false) (a12,false) ->= (a12,false) (a34,false) , 0.00/0.55 (a45,false) (a12,false) ->= (a12,false) (a45,false) , 0.00/0.55 (a56,false) (a12,false) ->= (a12,false) (a56,false) , 0.00/0.55 (a45,false) (a23,false) ->= (a23,false) (a45,false) , 0.00/0.55 (a56,false) (a23,false) ->= (a23,false) (a56,false) , 0.00/0.55 (a56,false) (a34,false) ->= (a34,false) (a56,false) } 0.00/0.55 0.00/0.55 0.00/0.55 The system is trivially terminating. 1.47/0.58 EOF