Input TRS: 1: g(X) -> h(activate(X)) 2: c() -> d() 3: h(n__d()) -> g(n__c()) 4: d() -> n__d() 5: c() -> n__c() 6: activate(n__d()) -> d() 7: activate(n__c()) -> c() 8: activate(X) -> X Number of strict rules: 8 Direct Order(PosReal,>,Poly) ... failed. Freezing ... failed. Dependency Pairs: #1: #c() -> #d() #2: #activate(n__d()) -> #d() #3: #activate(n__c()) -> #c() #4: #h(n__d()) -> #g(n__c()) #5: #g(X) -> #h(activate(X)) #6: #g(X) -> #activate(X) Number of SCCs: 1, DPs: 2, edges: 2 SCC { #4 #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... found. #h(n__d()) -#4-> #g(n__c()) --->* #g(n__c()) -#5-> #h(activate(n__c())) --->* #h(n__d()) Looping with: [ ] NO