* Step 1: Sum WORST_CASE(Omega(n^1),?)
    + Considered Problem:
        - Strict TRS:
            div(x,y) -> ify(ge(y,s(0())),x,y)
            ge(0(),0()) -> true()
            ge(0(),s(0())) -> false()
            ge(0(),s(s(x))) -> ge(0(),s(x))
            ge(s(x),0()) -> ge(x,0())
            ge(s(x),s(y)) -> ge(x,y)
            if(false(),x,y) -> 0()
            if(true(),x,y) -> s(div(minus(x,y),y))
            ify(false(),x,y) -> divByZeroError()
            ify(true(),x,y) -> if(ge(x,y),x,y)
            minus(0(),0()) -> 0()
            minus(0(),s(x)) -> minus(0(),x)
            minus(s(x),0()) -> s(minus(x,0()))
            minus(s(x),s(y)) -> minus(x,y)
            plus(0(),0()) -> 0()
            plus(0(),s(x)) -> s(plus(0(),x))
            plus(s(x),y) -> s(plus(x,y))
        - Signature:
            {div/2,ge/2,if/3,ify/3,minus/2,plus/2} / {0/0,divByZeroError/0,false/0,s/1,true/0}
        - Obligation:
            innermost runtime complexity wrt. defined symbols {div,ge,if,ify,minus,plus} and constructors {0
            ,divByZeroError,false,s,true}
    + Applied Processor:
        Sum {left = someStrategy, right = someStrategy}
    + Details:
        ()
* Step 2: DecreasingLoops WORST_CASE(Omega(n^1),?)
    + Considered Problem:
        - Strict TRS:
            div(x,y) -> ify(ge(y,s(0())),x,y)
            ge(0(),0()) -> true()
            ge(0(),s(0())) -> false()
            ge(0(),s(s(x))) -> ge(0(),s(x))
            ge(s(x),0()) -> ge(x,0())
            ge(s(x),s(y)) -> ge(x,y)
            if(false(),x,y) -> 0()
            if(true(),x,y) -> s(div(minus(x,y),y))
            ify(false(),x,y) -> divByZeroError()
            ify(true(),x,y) -> if(ge(x,y),x,y)
            minus(0(),0()) -> 0()
            minus(0(),s(x)) -> minus(0(),x)
            minus(s(x),0()) -> s(minus(x,0()))
            minus(s(x),s(y)) -> minus(x,y)
            plus(0(),0()) -> 0()
            plus(0(),s(x)) -> s(plus(0(),x))
            plus(s(x),y) -> s(plus(x,y))
        - Signature:
            {div/2,ge/2,if/3,ify/3,minus/2,plus/2} / {0/0,divByZeroError/0,false/0,s/1,true/0}
        - Obligation:
            innermost runtime complexity wrt. defined symbols {div,ge,if,ify,minus,plus} and constructors {0
            ,divByZeroError,false,s,true}
    + Applied Processor:
        DecreasingLoops {bound = AnyLoop, narrow = 10}
    + Details:
        The system has following decreasing Loops:
          ge(0(),s(x)){x -> s(x)} =
            ge(0(),s(s(x))) ->^+ ge(0(),s(x))
              = C[ge(0(),s(x)) = ge(0(),s(x)){}]

WORST_CASE(Omega(n^1),?)