Input TRS: 1: first(0(),X) -> nil() 2: first(s(X),cons(Y,Z)) -> cons(Y,first(X,Z)) 3: from(X) -> cons(X,from(s(X))) Number of strict rules: 3 Direct Order(PosReal,>,Poly) ... failed. Freezing ... failed. Dependency Pairs: #1: #first(s(X),cons(Y,Z)) -> #first(X,Z) #2: #from(X) -> #from(s(X)) Number of SCCs: 2, DPs: 2, edges: 2 SCC { #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. #from(X) -#2-> #from(s(X)) --->* #from(s(X)) Looping with: [ X := s(X); ] NO