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

WORST_CASE(Omega(n^1),?)