Input TRS: 1: h(X) -> g(X,X) 2: g(a(),X) -> f(b(),activate(X)) 3: f(X,X) -> h(a()) 4: a() -> b() 5: activate(X) -> X Number of strict rules: 5 Direct Order(PosReal,>,Poly) ... failed. Freezing ... failed. Dependency Pairs: #1: #g(a(),X) -> #f(b(),activate(X)) #2: #g(a(),X) -> #activate(X) #3: #f(X,X) -> #h(a()) #4: #f(X,X) -> #a() #5: #h(X) -> #g(X,X) Number of SCCs: 1, DPs: 3, edges: 3 SCC { #1 #3 #5 } 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