(VAR n x xs y ) (STRATEGY INNERMOST) (RULES qsort(nil) -> nil qsort(cons(x,xs)) -> append(qsort(filterlow(x,cons(x,xs))),cons(x,qsort(filterhigh(x,cons(x,xs))))) filterlow(n,nil) -> nil filterlow(n,cons(x,xs)) -> if1(ge(n,x),n,x,xs) if1(true,n,x,xs) -> filterlow(n,xs) if1(false,n,x,xs) -> cons(x,filterlow(n,xs)) filterhigh(n,nil) -> nil filterhigh(n,cons(x,xs)) -> if2(ge(x,n),n,x,xs) if2(true,n,x,xs) -> filterhigh(n,xs) if2(false,n,x,xs) -> cons(x,filterhigh(n,xs)) ge(x,0) -> true ge(0,s(x)) -> false ge(s(x),s(y)) -> ge(x,y) append(nil,ys) -> ys append(cons(x,xs),ys) -> cons(x,append(xs,ys)) )