* Step 1: Sum WORST_CASE(Omega(n^1),O(n^1))
    + Considered Problem:
        - Strict TRS:
            f(x,g(x)) -> x
            f(x,h(y)) -> f(h(x),y)
        - Signature:
            {f/2} / {g/1,h/1}
        - Obligation:
            innermost runtime complexity wrt. defined symbols {f} and constructors {g,h}
    + Applied Processor:
        Sum {left = someStrategy, right = someStrategy}
    + Details:
        ()
** Step 1.a:1: DecreasingLoops WORST_CASE(Omega(n^1),?)
    + Considered Problem:
        - Strict TRS:
            f(x,g(x)) -> x
            f(x,h(y)) -> f(h(x),y)
        - Signature:
            {f/2} / {g/1,h/1}
        - Obligation:
            innermost runtime complexity wrt. defined symbols {f} and constructors {g,h}
    + Applied Processor:
        DecreasingLoops {bound = AnyLoop, narrow = 10}
    + Details:
        The system has following decreasing Loops:
          f(x,y){y -> h(y)} =
            f(x,h(y)) ->^+ f(h(x),y)
              = C[f(h(x),y) = f(x,y){x -> h(x)}]

** Step 1.b:1: Bounds WORST_CASE(?,O(n^1))
    + Considered Problem:
        - Strict TRS:
            f(x,g(x)) -> x
            f(x,h(y)) -> f(h(x),y)
        - Signature:
            {f/2} / {g/1,h/1}
        - Obligation:
            innermost runtime complexity wrt. defined symbols {f} and constructors {g,h}
    + Applied Processor:
        Bounds {initialAutomaton = minimal, enrichment = match}
    + Details:
        The problem is match-bounded by 1.
        The enriched problem is compatible with follwoing automaton.
          f_0(2,2) -> 1
          f_1(3,2) -> 1
          g_0(2) -> 1
          g_0(2) -> 2
          h_0(2) -> 1
          h_0(2) -> 2
          h_1(2) -> 1
          h_1(2) -> 3
          h_1(3) -> 1
          h_1(3) -> 3
          2 -> 1
          3 -> 1
** Step 1.b:2: EmptyProcessor WORST_CASE(?,O(1))
    + Considered Problem:
        - Weak TRS:
            f(x,g(x)) -> x
            f(x,h(y)) -> f(h(x),y)
        - Signature:
            {f/2} / {g/1,h/1}
        - Obligation:
            innermost runtime complexity wrt. defined symbols {f} and constructors {g,h}
    + Applied Processor:
        EmptyProcessor
    + Details:
        The problem is already closed. The intended complexity is O(1).

WORST_CASE(Omega(n^1),O(n^1))