0.00/0.46 YES 0.00/0.47 0.00/0.47 0.00/0.47 The system was filtered by the following matrix interpretation 0.00/0.47 of type E_J with J = {1,...,2} and dimension 6: 0.00/0.47 0.00/0.47 a is interpreted by 0.00/0.47 / \ 0.00/0.47 | 1 0 1 0 0 0 | 0.00/0.47 | 0 1 0 0 0 0 | 0.00/0.47 | 0 0 1 0 1 0 | 0.00/0.47 | 0 1 0 0 0 0 | 0.00/0.47 | 0 0 0 0 0 0 | 0.00/0.47 | 0 0 0 0 0 0 | 0.00/0.47 \ / 0.00/0.47 b is interpreted by 0.00/0.47 / \ 0.00/0.47 | 1 0 0 0 0 0 | 0.00/0.47 | 0 1 0 0 0 0 | 0.00/0.47 | 0 0 0 0 0 0 | 0.00/0.47 | 0 0 0 0 0 0 | 0.00/0.47 | 0 0 0 1 0 1 | 0.00/0.47 | 0 1 0 0 0 0 | 0.00/0.47 \ / 0.00/0.47 c is interpreted by 0.00/0.47 / \ 0.00/0.47 | 1 0 0 0 0 0 | 0.00/0.47 | 0 1 0 0 0 0 | 0.00/0.47 | 0 0 0 1 0 0 | 0.00/0.47 | 0 1 0 0 0 0 | 0.00/0.47 | 0 0 0 0 0 0 | 0.00/0.47 | 0 0 0 0 0 0 | 0.00/0.47 \ / 0.00/0.47 0.00/0.47 Remains to prove termination of the 5-rule system 0.00/0.47 { a b c -> c b c , 0.00/0.47 c b c -> a c b , 0.00/0.47 b c c -> b b b , 0.00/0.47 b b a -> b c a , 0.00/0.47 a b b ->= c c c } 0.00/0.47 0.00/0.47 0.00/0.47 The system was filtered by the following matrix interpretation 0.00/0.47 of type E_J with J = {1,...,2} and dimension 4: 0.00/0.47 0.00/0.47 a is interpreted by 0.00/0.47 / \ 0.00/0.47 | 1 0 1 0 | 0.00/0.47 | 0 1 0 0 | 0.00/0.47 | 0 0 0 0 | 0.00/0.47 | 0 1 0 0 | 0.00/0.47 \ / 0.00/0.47 b is interpreted by 0.00/0.47 / \ 0.00/0.47 | 1 0 0 0 | 0.00/0.47 | 0 1 0 0 | 0.00/0.47 | 0 0 0 1 | 0.00/0.47 | 0 1 0 0 | 0.00/0.47 \ / 0.00/0.47 c is interpreted by 0.00/0.47 / \ 0.00/0.47 | 1 0 0 0 | 0.00/0.47 | 0 1 0 0 | 0.00/0.47 | 0 0 0 0 | 0.00/0.47 | 0 1 0 0 | 0.00/0.47 \ / 0.00/0.47 0.00/0.47 Remains to prove termination of the 3-rule system 0.00/0.47 { c b c -> a c b , 0.00/0.47 b c c -> b b b , 0.00/0.47 b b a -> b c a } 0.00/0.47 0.00/0.47 0.00/0.47 The system was filtered by the following matrix interpretation 0.00/0.47 of type E_J with J = {1,...,2} and dimension 2: 0.00/0.47 0.00/0.47 a is interpreted by 0.00/0.47 / \ 0.00/0.47 | 1 0 | 0.00/0.47 | 0 1 | 0.00/0.47 \ / 0.00/0.47 b is interpreted by 0.00/0.47 / \ 0.00/0.47 | 1 1 | 0.00/0.47 | 0 1 | 0.00/0.47 \ / 0.00/0.47 c is interpreted by 0.00/0.47 / \ 0.00/0.47 | 1 1 | 0.00/0.47 | 0 1 | 0.00/0.47 \ / 0.00/0.47 0.00/0.47 Remains to prove termination of the 2-rule system 0.00/0.47 { b c c -> b b b , 0.00/0.47 b b a -> b c a } 0.00/0.47 0.00/0.47 0.00/0.47 The system was filtered by the following matrix interpretation 0.00/0.47 of type E_J with J = {1,...,2} and dimension 4: 0.00/0.47 0.00/0.47 a is interpreted by 0.00/0.47 / \ 0.00/0.47 | 1 0 0 0 | 0.00/0.47 | 0 1 0 0 | 0.00/0.47 | 0 0 0 0 | 0.00/0.47 | 0 0 0 0 | 0.00/0.47 \ / 0.00/0.47 b is interpreted by 0.00/0.47 / \ 0.00/0.47 | 1 0 1 0 | 0.00/0.47 | 0 1 0 0 | 0.00/0.47 | 0 0 0 0 | 0.00/0.47 | 0 0 0 0 | 0.00/0.47 \ / 0.00/0.47 c is interpreted by 0.00/0.47 / \ 0.00/0.47 | 1 0 1 0 | 0.00/0.47 | 0 1 0 0 | 0.00/0.47 | 0 0 0 1 | 0.00/0.47 | 0 1 0 0 | 0.00/0.47 \ / 0.00/0.47 0.00/0.47 Remains to prove termination of the 1-rule system 0.00/0.47 { b b a -> b c a } 0.00/0.47 0.00/0.47 0.00/0.47 The system was filtered by the following matrix interpretation 0.00/0.47 of type E_J with J = {1,...,2} and dimension 2: 0.00/0.47 0.00/0.47 a is interpreted by 0.00/0.47 / \ 0.00/0.47 | 1 0 | 0.00/0.47 | 0 1 | 0.00/0.47 \ / 0.00/0.47 b is interpreted by 0.00/0.47 / \ 0.00/0.47 | 1 1 | 0.00/0.47 | 0 1 | 0.00/0.47 \ / 0.00/0.47 c is interpreted by 0.00/0.47 / \ 0.00/0.47 | 1 0 | 0.00/0.47 | 0 1 | 0.00/0.47 \ / 0.00/0.47 0.00/0.47 Remains to prove termination of the 0-rule system 0.00/0.47 { } 0.00/0.47 0.00/0.47 0.00/0.47 The system is trivially terminating. 0.00/0.51 EOF