Input TRS: 1: f(y,f(y,x)) -> f(f(a(),y),f(a(),y)) Number of strict rules: 1 Direct Order(PosReal,>,Poly) ... failed. Freezing ... failed. Dependency Pairs: #1: #f(y,f(y,x)) -> #f(f(a(),y),f(a(),y)) #2: #f(y,f(y,x)) -> #f(a(),y) #3: #f(y,f(y,x)) -> #f(a(),y) Number of SCCs: 1, DPs: 3, edges: 9 SCC { #1..3 } Removing DPs: Order(PosReal,>,Sum)... Order(PosReal,>,Max)... succeeded. a() weight: 0 f(x1,x2) weight: max{(/ 77 2) + x2, (/ 77 2) + x1} #f(x1,x2) weight: max{0, (/ 1 2) + x2} Usable rules: { 1 } Removed DPs: #2 #3 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