* Step 1: Sum WORST_CASE(Omega(n^1),?)
    + Considered Problem:
        - Strict TRS:
            *(x,0()) -> 0()
            *(*(x,y),z) -> *(x,*(y,z))
            *(0(),x) -> 0()
            *(s(x),s(y)) -> s(+(*(x,y),+(x,y)))
            +(x,0()) -> x
            +(+(x,y),z) -> +(x,+(y,z))
            +(0(),x) -> x
            +(s(x),s(y)) -> s(s(+(x,y)))
            app(cons(x,l1),l2) -> cons(x,app(l1,l2))
            app(nil(),l) -> l
            prod(app(l1,l2)) -> *(prod(l1),prod(l2))
            prod(cons(x,l)) -> *(x,prod(l))
            prod(nil()) -> s(0())
            sum(app(l1,l2)) -> +(sum(l1),sum(l2))
            sum(cons(x,l)) -> +(x,sum(l))
            sum(nil()) -> 0()
        - Signature:
            {*/2,+/2,app/2,prod/1,sum/1} / {0/0,cons/2,nil/0,s/1}
        - Obligation:
            innermost runtime complexity wrt. defined symbols {*,+,app,prod,sum} and constructors {0,cons,nil,s}
    + Applied Processor:
        Sum {left = someStrategy, right = someStrategy}
    + Details:
        ()
* Step 2: DecreasingLoops WORST_CASE(Omega(n^1),?)
    + Considered Problem:
        - Strict TRS:
            *(x,0()) -> 0()
            *(*(x,y),z) -> *(x,*(y,z))
            *(0(),x) -> 0()
            *(s(x),s(y)) -> s(+(*(x,y),+(x,y)))
            +(x,0()) -> x
            +(+(x,y),z) -> +(x,+(y,z))
            +(0(),x) -> x
            +(s(x),s(y)) -> s(s(+(x,y)))
            app(cons(x,l1),l2) -> cons(x,app(l1,l2))
            app(nil(),l) -> l
            prod(app(l1,l2)) -> *(prod(l1),prod(l2))
            prod(cons(x,l)) -> *(x,prod(l))
            prod(nil()) -> s(0())
            sum(app(l1,l2)) -> +(sum(l1),sum(l2))
            sum(cons(x,l)) -> +(x,sum(l))
            sum(nil()) -> 0()
        - Signature:
            {*/2,+/2,app/2,prod/1,sum/1} / {0/0,cons/2,nil/0,s/1}
        - Obligation:
            innermost runtime complexity wrt. defined symbols {*,+,app,prod,sum} and constructors {0,cons,nil,s}
    + Applied Processor:
        DecreasingLoops {bound = AnyLoop, narrow = 10}
    + Details:
        The system has following decreasing Loops:
          *(x,y){x -> s(x),y -> s(y)} =
            *(s(x),s(y)) ->^+ s(+(*(x,y),+(x,y)))
              = C[*(x,y) = *(x,y){}]

WORST_CASE(Omega(n^1),?)