* Step 1: Sum WORST_CASE(Omega(n^1),?)
    + Considered Problem:
        - Strict TRS:
            active(after(X1,X2)) -> after(X1,active(X2))
            active(after(X1,X2)) -> after(active(X1),X2)
            active(after(0(),XS)) -> mark(XS)
            active(after(s(N),cons(X,XS))) -> mark(after(N,XS))
            active(cons(X1,X2)) -> cons(active(X1),X2)
            active(from(X)) -> from(active(X))
            active(from(X)) -> mark(cons(X,from(s(X))))
            active(s(X)) -> s(active(X))
            after(X1,mark(X2)) -> mark(after(X1,X2))
            after(mark(X1),X2) -> mark(after(X1,X2))
            after(ok(X1),ok(X2)) -> ok(after(X1,X2))
            cons(mark(X1),X2) -> mark(cons(X1,X2))
            cons(ok(X1),ok(X2)) -> ok(cons(X1,X2))
            from(mark(X)) -> mark(from(X))
            from(ok(X)) -> ok(from(X))
            proper(0()) -> ok(0())
            proper(after(X1,X2)) -> after(proper(X1),proper(X2))
            proper(cons(X1,X2)) -> cons(proper(X1),proper(X2))
            proper(from(X)) -> from(proper(X))
            proper(s(X)) -> s(proper(X))
            s(mark(X)) -> mark(s(X))
            s(ok(X)) -> ok(s(X))
            top(mark(X)) -> top(proper(X))
            top(ok(X)) -> top(active(X))
        - Signature:
            {active/1,after/2,cons/2,from/1,proper/1,s/1,top/1} / {0/0,mark/1,ok/1}
        - Obligation:
            innermost runtime complexity wrt. defined symbols {active,after,cons,from,proper,s,top} and constructors {0
            ,mark,ok}
    + Applied Processor:
        Sum {left = someStrategy, right = someStrategy}
    + Details:
        ()
* Step 2: DecreasingLoops WORST_CASE(Omega(n^1),?)
    + Considered Problem:
        - Strict TRS:
            active(after(X1,X2)) -> after(X1,active(X2))
            active(after(X1,X2)) -> after(active(X1),X2)
            active(after(0(),XS)) -> mark(XS)
            active(after(s(N),cons(X,XS))) -> mark(after(N,XS))
            active(cons(X1,X2)) -> cons(active(X1),X2)
            active(from(X)) -> from(active(X))
            active(from(X)) -> mark(cons(X,from(s(X))))
            active(s(X)) -> s(active(X))
            after(X1,mark(X2)) -> mark(after(X1,X2))
            after(mark(X1),X2) -> mark(after(X1,X2))
            after(ok(X1),ok(X2)) -> ok(after(X1,X2))
            cons(mark(X1),X2) -> mark(cons(X1,X2))
            cons(ok(X1),ok(X2)) -> ok(cons(X1,X2))
            from(mark(X)) -> mark(from(X))
            from(ok(X)) -> ok(from(X))
            proper(0()) -> ok(0())
            proper(after(X1,X2)) -> after(proper(X1),proper(X2))
            proper(cons(X1,X2)) -> cons(proper(X1),proper(X2))
            proper(from(X)) -> from(proper(X))
            proper(s(X)) -> s(proper(X))
            s(mark(X)) -> mark(s(X))
            s(ok(X)) -> ok(s(X))
            top(mark(X)) -> top(proper(X))
            top(ok(X)) -> top(active(X))
        - Signature:
            {active/1,after/2,cons/2,from/1,proper/1,s/1,top/1} / {0/0,mark/1,ok/1}
        - Obligation:
            innermost runtime complexity wrt. defined symbols {active,after,cons,from,proper,s,top} and constructors {0
            ,mark,ok}
    + Applied Processor:
        DecreasingLoops {bound = AnyLoop, narrow = 10}
    + Details:
        The system has following decreasing Loops:
          after(x,y){y -> mark(y)} =
            after(x,mark(y)) ->^+ mark(after(x,y))
              = C[after(x,y) = after(x,y){}]

WORST_CASE(Omega(n^1),?)