Input TRS: 1: f(a(),y) -> f(y,g(y)) 2: g(a()) -> b() 3: g(b()) -> b() Number of strict rules: 3 Direct Order(PosReal,>,Poly) ... failed. Freezing ... failed. Dependency Pairs: #1: #f(a(),y) -> #f(y,g(y)) #2: #f(a(),y) -> #g(y) Number of SCCs: 1, DPs: 1, edges: 1 SCC { #1 } Removing DPs: Order(PosReal,>,Sum)... Order(PosReal,>,Max)... succeeded. a() weight: (/ 3 8) b() weight: (/ 1 8) f(x1,x2) weight: 0 #f(x1,x2) weight: max{(/ 1 4) + x2, (/ 1 8) + x1} #g(x1) weight: 0 g(x1) weight: (/ 1 8) Usable rules: { 2 3 } Removed DPs: #1 Number of SCCs: 0, DPs: 0, edges: 0 YES