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