Input TRS: 1: is_empty(nil()) -> true() 2: is_empty(cons(x,l)) -> false() 3: hd(cons(x,l)) -> x 4: tl(cons(x,l)) -> l 5: append(l1,l2) -> ifappend(l1,l2,l1) 6: ifappend(l1,l2,nil()) -> l2 7: ifappend(l1,l2,cons(x,l)) -> cons(x,append(l,l2)) Number of strict rules: 7 Direct Order(PosReal,>,Poly) ... failed. Freezing ... failed. Dependency Pairs: #1: #ifappend(l1,l2,cons(x,l)) -> #append(l,l2) #2: #append(l1,l2) -> #ifappend(l1,l2,l1) Number of SCCs: 1, DPs: 2, edges: 2 SCC { #1 #2 } Removing DPs: Order(PosReal,>,Sum)... succeeded. hd(x1) weight: 0 #append(x1,x2) weight: (/ 1 4) + x1 #is_empty(x1) weight: 0 ifappend(x1,x2,x3) weight: 0 false() weight: 0 true() weight: 0 #tl(x1) weight: 0 append(x1,x2) weight: 0 tl(x1) weight: 0 nil() weight: 0 is_empty(x1) weight: 0 #hd(x1) weight: 0 cons(x1,x2) weight: (/ 1 2) + x2 #ifappend(x1,x2,x3) weight: x3 Usable rules: { } Removed DPs: #1 #2 Number of SCCs: 0, DPs: 0, edges: 0 YES