Input TRS: 1: h(X) -> g(X) 2: g(a()) -> f(b()) 3: f(X) -> h(a()) 4: a() -> b() Number of strict rules: 4 Direct Order(PosReal,>,Poly) ... failed. Freezing ... failed. Dependency Pairs: #1: #g(a()) -> #f(b()) #2: #f(X) -> #h(a()) #3: #f(X) -> #a() #4: #h(X) -> #g(X) Number of SCCs: 1, DPs: 3, edges: 3 SCC { #1 #2 #4 } 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. #h(a()) -#4-> #g(a()) --->* #g(a()) -#1-> #f(b()) --->* #f(b()) -#2-> #h(a()) --->* #h(a()) Looping with: [ ] NO