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

** Step 1.b:1: Bounds WORST_CASE(?,O(n^1))
    + Considered Problem:
        - Strict TRS:
            append(Cons(x,xs),ys) -> Cons(x,append(xs,ys))
            append(Nil(),ys) -> ys
            goal(x,y) -> append(x,y)
        - Signature:
            {append/2,goal/2} / {Cons/2,Nil/0}
        - Obligation:
            innermost runtime complexity wrt. defined symbols {append,goal} and constructors {Cons,Nil}
    + Applied Processor:
        Bounds {initialAutomaton = minimal, enrichment = match}
    + Details:
        The problem is match-bounded by 1.
        The enriched problem is compatible with follwoing automaton.
          Cons_0(2,2) -> 1
          Cons_0(2,2) -> 2
          Cons_0(2,2) -> 3
          Cons_1(2,3) -> 1
          Cons_1(2,3) -> 3
          Nil_0() -> 1
          Nil_0() -> 2
          Nil_0() -> 3
          append_0(2,2) -> 1
          append_1(2,2) -> 1
          append_1(2,2) -> 3
          goal_0(2,2) -> 1
          2 -> 1
          2 -> 3
** Step 1.b:2: EmptyProcessor WORST_CASE(?,O(1))
    + Considered Problem:
        - Weak TRS:
            append(Cons(x,xs),ys) -> Cons(x,append(xs,ys))
            append(Nil(),ys) -> ys
            goal(x,y) -> append(x,y)
        - Signature:
            {append/2,goal/2} / {Cons/2,Nil/0}
        - Obligation:
            innermost runtime complexity wrt. defined symbols {append,goal} and constructors {Cons,Nil}
    + Applied Processor:
        EmptyProcessor
    + Details:
        The problem is already closed. The intended complexity is O(1).

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