Input TRS: 1: f(x,f(a(),a())) -> f(f(f(f(a(),a()),a()),a()),x) Number of strict rules: 1 Direct Order(PosReal,>,Poly) ... failed. Freezing ... failed. Dependency Pairs: #1: #f(x,f(a(),a())) -> #f(f(f(f(a(),a()),a()),a()),x) #2: #f(x,f(a(),a())) -> #f(f(f(a(),a()),a()),a()) #3: #f(x,f(a(),a())) -> #f(f(a(),a()),a()) Number of SCCs: 1, DPs: 1, edges: 1 SCC { #1 } Removing DPs: Order(PosReal,>,Sum)... Order(PosReal,>,Max)... QLPOpS... Order(PosReal,>,MaxSum)... succeeded. a() weight: (/ 5 4) f(x1,x2) weight: max{0, (- (/ 3 4)) + x1} #f(x1,x2) weight: max{0, (- (/ 1 4)) + x2 + x1} Usable rules: { } Removed DPs: #1 Number of SCCs: 0, DPs: 0, edges: 0 YES