Input TRS: 1: a(b(x)) -> b(b(a(a(x)))) Number of strict rules: 1 Direct Order(PosReal,>,Poly) ... failed. Freezing ... failed. Dependency Pairs: #1: #a(b(x)) -> #a(a(x)) #2: #a(b(x)) -> #a(x) Number of SCCs: 1, DPs: 2, edges: 4 SCC { #1 #2 } 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... found. #a(b(b(x_{i0}))) -#1-> #a(a(b(x_{i0}))) --->* #a(b(b(a(a(x_{i0}))))) Looping with: [ x_{i0} := a(a(x_{i0})); ] NO