Input TRS: 1: f(f(y,z),f(x,f(a(),x))) -> f(f(f(a(),z),f(x,a())),f(a(),y)) Number of strict rules: 1 Direct Order(PosReal,>,Poly) ... failed. Freezing ... failed. Dependency Pairs: #1: #f(f(y,z),f(x,f(a(),x))) -> #f(f(f(a(),z),f(x,a())),f(a(),y)) #2: #f(f(y,z),f(x,f(a(),x))) -> #f(f(a(),z),f(x,a())) #3: #f(f(y,z),f(x,f(a(),x))) -> #f(a(),z) #4: #f(f(y,z),f(x,f(a(),x))) -> #f(x,a()) #5: #f(f(y,z),f(x,f(a(),x))) -> #f(a(),y) 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