* Step 1: Sum WORST_CASE(Omega(n^1),O(n^1))
    + Considered Problem:
        - Strict TRS:
            div2(0()) -> 0()
            div2(S(0())) -> 0()
            div2(S(S(x))) -> +(S(0()),div2(x))
        - Weak TRS:
            +(x,S(0())) -> S(x)
            +(S(0()),y) -> S(y)
        - Signature:
            {+/2,div2/1} / {0/0,S/1}
        - Obligation:
            innermost runtime complexity wrt. defined symbols {+,div2} and constructors {0,S}
    + Applied Processor:
        Sum {left = someStrategy, right = someStrategy}
    + Details:
        ()
** Step 1.a:1: DecreasingLoops WORST_CASE(Omega(n^1),?)
    + Considered Problem:
        - Strict TRS:
            div2(0()) -> 0()
            div2(S(0())) -> 0()
            div2(S(S(x))) -> +(S(0()),div2(x))
        - Weak TRS:
            +(x,S(0())) -> S(x)
            +(S(0()),y) -> S(y)
        - Signature:
            {+/2,div2/1} / {0/0,S/1}
        - Obligation:
            innermost runtime complexity wrt. defined symbols {+,div2} and constructors {0,S}
    + Applied Processor:
        DecreasingLoops {bound = AnyLoop, narrow = 10}
    + Details:
        The system has following decreasing Loops:
          div2(x){x -> S(S(x))} =
            div2(S(S(x))) ->^+ +(S(0()),div2(x))
              = C[div2(x) = div2(x){}]

** Step 1.b:1: Bounds WORST_CASE(?,O(n^1))
    + Considered Problem:
        - Strict TRS:
            div2(0()) -> 0()
            div2(S(0())) -> 0()
            div2(S(S(x))) -> +(S(0()),div2(x))
        - Weak TRS:
            +(x,S(0())) -> S(x)
            +(S(0()),y) -> S(y)
        - Signature:
            {+/2,div2/1} / {0/0,S/1}
        - Obligation:
            innermost runtime complexity wrt. defined symbols {+,div2} and constructors {0,S}
    + Applied Processor:
        Bounds {initialAutomaton = minimal, enrichment = match}
    + Details:
        The problem is match-bounded by 1.
        The enriched problem is compatible with follwoing automaton.
          +_0(2,2) -> 1
          +_1(3,4) -> 1
          +_1(3,4) -> 4
          0_0() -> 2
          0_1() -> 1
          0_1() -> 4
          S_0(2) -> 1
          S_0(2) -> 2
          S_1(1) -> 3
          S_1(3) -> 1
          S_1(3) -> 4
          S_1(4) -> 1
          S_1(4) -> 4
          div2_0(2) -> 1
          div2_1(2) -> 4
** Step 1.b:2: EmptyProcessor WORST_CASE(?,O(1))
    + Considered Problem:
        - Weak TRS:
            +(x,S(0())) -> S(x)
            +(S(0()),y) -> S(y)
            div2(0()) -> 0()
            div2(S(0())) -> 0()
            div2(S(S(x))) -> +(S(0()),div2(x))
        - Signature:
            {+/2,div2/1} / {0/0,S/1}
        - Obligation:
            innermost runtime complexity wrt. defined symbols {+,div2} and constructors {0,S}
    + Applied Processor:
        EmptyProcessor
    + Details:
        The problem is already closed. The intended complexity is O(1).

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