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