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