0.00/0.52 YES 0.00/0.53 0.00/0.53 0.00/0.53 The system was filtered by the following matrix interpretation 0.00/0.53 of type E_J with J = {1,...,2} and dimension 2: 0.00/0.53 0.00/0.53 p is interpreted by 0.00/0.53 / \ 0.00/0.53 | 1 1 | 0.00/0.53 | 0 1 | 0.00/0.53 \ / 0.00/0.53 s is interpreted by 0.00/0.53 / \ 0.00/0.53 | 1 0 | 0.00/0.53 | 0 1 | 0.00/0.53 \ / 0.00/0.53 n is interpreted by 0.00/0.53 / \ 0.00/0.53 | 1 0 | 0.00/0.53 | 0 1 | 0.00/0.53 \ / 0.00/0.53 o is interpreted by 0.00/0.53 / \ 0.00/0.53 | 1 0 | 0.00/0.53 | 0 1 | 0.00/0.53 \ / 0.00/0.53 m is interpreted by 0.00/0.53 / \ 0.00/0.53 | 1 0 | 0.00/0.53 | 0 1 | 0.00/0.53 \ / 0.00/0.53 t is interpreted by 0.00/0.53 / \ 0.00/0.53 | 1 0 | 0.00/0.53 | 0 1 | 0.00/0.53 \ / 0.00/0.53 c is interpreted by 0.00/0.53 / \ 0.00/0.53 | 1 0 | 0.00/0.53 | 0 1 | 0.00/0.53 \ / 0.00/0.53 0.00/0.53 Remains to prove termination of the 13-rule system 0.00/0.53 { n s -> s , 0.00/0.53 o s -> s , 0.00/0.53 o n -> n o , 0.00/0.53 o m -> n o , 0.00/0.53 t ->= t c n , 0.00/0.53 p n ->= m p , 0.00/0.53 p m ->= m p , 0.00/0.53 n p ->= p n , 0.00/0.53 c p ->= p c , 0.00/0.53 c m ->= m c , 0.00/0.53 c n ->= n c , 0.00/0.53 c o ->= o c , 0.00/0.53 c o ->= o } 0.00/0.53 0.00/0.53 0.00/0.53 The system was filtered by the following matrix interpretation 0.00/0.53 of type E_J with J = {1,...,2} and dimension 2: 0.00/0.53 0.00/0.53 p is interpreted by 0.00/0.53 / \ 0.00/0.53 | 1 0 | 0.00/0.53 | 0 1 | 0.00/0.53 \ / 0.00/0.53 s is interpreted by 0.00/0.53 / \ 0.00/0.53 | 1 0 | 0.00/0.53 | 0 1 | 0.00/0.53 \ / 0.00/0.53 n is interpreted by 0.00/0.53 / \ 0.00/0.53 | 1 0 | 0.00/0.53 | 0 1 | 0.00/0.53 \ / 0.00/0.53 o is interpreted by 0.00/0.53 / \ 0.00/0.53 | 1 1 | 0.00/0.53 | 0 1 | 0.00/0.53 \ / 0.00/0.53 m is interpreted by 0.00/0.53 / \ 0.00/0.53 | 1 0 | 0.00/0.53 | 0 1 | 0.00/0.53 \ / 0.00/0.53 t is interpreted by 0.00/0.53 / \ 0.00/0.53 | 1 0 | 0.00/0.53 | 0 1 | 0.00/0.53 \ / 0.00/0.53 c is interpreted by 0.00/0.53 / \ 0.00/0.53 | 1 0 | 0.00/0.53 | 0 1 | 0.00/0.53 \ / 0.00/0.53 0.00/0.53 Remains to prove termination of the 12-rule system 0.00/0.53 { n s -> s , 0.00/0.53 o n -> n o , 0.00/0.53 o m -> n o , 0.00/0.53 t ->= t c n , 0.00/0.53 p n ->= m p , 0.00/0.53 p m ->= m p , 0.00/0.53 n p ->= p n , 0.00/0.53 c p ->= p c , 0.00/0.53 c m ->= m c , 0.00/0.53 c n ->= n c , 0.00/0.53 c o ->= o c , 0.00/0.53 c o ->= o } 0.00/0.53 0.00/0.53 0.00/0.53 The system was filtered by the following matrix interpretation 0.00/0.53 of type E_J with J = {1,...,2} and dimension 3: 0.00/0.53 0.00/0.53 p is interpreted by 0.00/0.53 / \ 0.00/0.53 | 1 0 0 | 0.00/0.53 | 0 1 0 | 0.00/0.53 | 0 0 1 | 0.00/0.53 \ / 0.00/0.53 s is interpreted by 0.00/0.53 / \ 0.00/0.53 | 1 0 0 | 0.00/0.53 | 0 1 0 | 0.00/0.53 | 0 1 0 | 0.00/0.53 \ / 0.00/0.53 n is interpreted by 0.00/0.53 / \ 0.00/0.53 | 1 0 1 | 0.00/0.53 | 0 1 0 | 0.00/0.53 | 0 0 1 | 0.00/0.53 \ / 0.00/0.53 o is interpreted by 0.00/0.53 / \ 0.00/0.53 | 1 0 0 | 0.00/0.53 | 0 1 0 | 0.00/0.53 | 0 0 0 | 0.00/0.53 \ / 0.00/0.53 m is interpreted by 0.00/0.53 / \ 0.00/0.53 | 1 0 0 | 0.00/0.53 | 0 1 0 | 0.00/0.53 | 0 0 0 | 0.00/0.53 \ / 0.00/0.53 t is interpreted by 0.00/0.53 / \ 0.00/0.53 | 1 0 1 | 0.00/0.53 | 0 1 0 | 0.00/0.53 | 0 0 0 | 0.00/0.53 \ / 0.00/0.53 c is interpreted by 0.00/0.53 / \ 0.00/0.53 | 1 0 0 | 0.00/0.53 | 0 1 0 | 0.00/0.53 | 0 0 0 | 0.00/0.53 \ / 0.00/0.53 0.00/0.53 Remains to prove termination of the 11-rule system 0.00/0.53 { o n -> n o , 0.00/0.53 o m -> n o , 0.00/0.53 t ->= t c n , 0.00/0.53 p n ->= m p , 0.00/0.53 p m ->= m p , 0.00/0.53 n p ->= p n , 0.00/0.53 c p ->= p c , 0.00/0.53 c m ->= m c , 0.00/0.53 c n ->= n c , 0.00/0.53 c o ->= o c , 0.00/0.53 c o ->= o } 0.00/0.53 0.00/0.53 0.00/0.53 The system was filtered by the following matrix interpretation 0.00/0.53 of type E_J with J = {1,...,2} and dimension 3: 0.00/0.53 0.00/0.53 p is interpreted by 0.00/0.53 / \ 0.00/0.53 | 1 0 0 | 0.00/0.53 | 0 1 0 | 0.00/0.53 | 0 0 1 | 0.00/0.53 \ / 0.00/0.53 s is interpreted by 0.00/0.53 / \ 0.00/0.53 | 1 0 0 | 0.00/0.53 | 0 1 0 | 0.00/0.53 | 0 0 0 | 0.00/0.53 \ / 0.00/0.53 n is interpreted by 0.00/0.53 / \ 0.00/0.53 | 1 0 0 | 0.00/0.53 | 0 1 0 | 0.00/0.53 | 0 1 1 | 0.00/0.53 \ / 0.00/0.53 o is interpreted by 0.00/0.53 / \ 0.00/0.53 | 1 0 1 | 0.00/0.53 | 0 1 0 | 0.00/0.53 | 0 0 1 | 0.00/0.53 \ / 0.00/0.53 m is interpreted by 0.00/0.53 / \ 0.00/0.53 | 1 0 0 | 0.00/0.53 | 0 1 0 | 0.00/0.53 | 0 1 1 | 0.00/0.53 \ / 0.00/0.53 t is interpreted by 0.00/0.53 / \ 0.00/0.53 | 1 0 0 | 0.00/0.53 | 0 1 0 | 0.00/0.53 | 0 0 0 | 0.00/0.53 \ / 0.00/0.53 c is interpreted by 0.00/0.53 / \ 0.00/0.53 | 1 0 0 | 0.00/0.53 | 0 1 0 | 0.00/0.53 | 0 0 1 | 0.00/0.53 \ / 0.00/0.53 0.00/0.53 Remains to prove termination of the 9-rule system 0.00/0.53 { t ->= t c n , 0.00/0.53 p n ->= m p , 0.00/0.53 p m ->= m p , 0.00/0.53 n p ->= p n , 0.00/0.53 c p ->= p c , 0.00/0.53 c m ->= m c , 0.00/0.53 c n ->= n c , 0.00/0.53 c o ->= o c , 0.00/0.53 c o ->= o } 0.00/0.53 0.00/0.53 0.00/0.53 The system is trivially terminating. 0.00/0.56 EOF