WORST_CASE(?,O(n^1))
* Step 1: Ara WORST_CASE(?,O(n^1))
    + Considered Problem:
        - Strict TRS:
            goal(xs) -> ordered(xs)
            notEmpty(Cons(x,xs)) -> True()
            notEmpty(Nil()) -> False()
            ordered(Cons(x,Nil())) -> True()
            ordered(Cons(x',Cons(x,xs))) -> ordered[Ite](<(x',x),Cons(x',Cons(x,xs)))
            ordered(Nil()) -> True()
        - Weak TRS:
            <(x,0()) -> False()
            <(0(),S(y)) -> True()
            <(S(x),S(y)) -> <(x,y)
            ordered[Ite](False(),xs) -> False()
            ordered[Ite](True(),Cons(x,xs)) -> ordered(xs)
        - Signature:
            {</2,goal/1,notEmpty/1,ordered/1,ordered[Ite]/2} / {0/0,Cons/2,False/0,Nil/0,S/1,True/0}
        - Obligation:
            innermost runtime complexity wrt. defined symbols {<,goal,notEmpty,ordered,ordered[Ite]} and constructors {0
            ,Cons,False,Nil,S,True}
    + Applied Processor:
        Ara {heuristics_ = NoHeuristics, minDegree = 1, maxDegree = 3, araTimeout = 60, araFindStrictRules = Nothing, araSmtSolver = Z3}
    + Details:
        Signatures used:
        ----------------
          0 :: [] -(0)-> A(0)
          < :: [A(0) x A(0)] -(1)-> A(13)
          Cons :: [A(0) x A(3)] -(3)-> A(3)
          Cons :: [A(0) x A(6)] -(6)-> A(6)
          False :: [] -(0)-> A(10)
          False :: [] -(0)-> A(15)
          False :: [] -(0)-> A(12)
          Nil :: [] -(0)-> A(3)
          Nil :: [] -(0)-> A(6)
          S :: [A(0)] -(0)-> A(0)
          True :: [] -(0)-> A(10)
          True :: [] -(0)-> A(15)
          True :: [] -(0)-> A(13)
          goal :: [A(8)] -(15)-> A(0)
          notEmpty :: [A(3)] -(9)-> A(0)
          ordered :: [A(6)] -(8)-> A(6)
          ordered[Ite] :: [A(10) x A(6)] -(2)-> A(6)
        
        
        Cost-free Signatures used:
        --------------------------
          0 :: [] -(0)-> A_cf(0)
          < :: [A_cf(0) x A_cf(0)] -(0)-> A_cf(0)
          Cons :: [A_cf(0) x A_cf(0)] -(0)-> A_cf(0)
          False :: [] -(0)-> A_cf(0)
          Nil :: [] -(0)-> A_cf(0)
          S :: [A_cf(0)] -(0)-> A_cf(0)
          True :: [] -(0)-> A_cf(0)
          ordered :: [A_cf(0)] -(0)-> A_cf(0)
          ordered[Ite] :: [A_cf(0) x A_cf(0)] -(0)-> A_cf(0)
        
        
        Base Constructor Signatures used:
        ---------------------------------
          0_A :: [] -(0)-> A(1)
          Cons_A :: [A(0) x A(1)] -(1)-> A(1)
          False_A :: [] -(0)-> A(1)
          Nil_A :: [] -(0)-> A(1)
          S_A :: [A(0)] -(0)-> A(1)
          True_A :: [] -(0)-> A(1)
        
* Step 2: Open MAYBE
    - Strict TRS:
        goal(xs) -> ordered(xs)
        notEmpty(Cons(x,xs)) -> True()
        notEmpty(Nil()) -> False()
        ordered(Cons(x,Nil())) -> True()
        ordered(Cons(x',Cons(x,xs))) -> ordered[Ite](<(x',x),Cons(x',Cons(x,xs)))
        ordered(Nil()) -> True()
    - Weak TRS:
        <(x,0()) -> False()
        <(0(),S(y)) -> True()
        <(S(x),S(y)) -> <(x,y)
        ordered[Ite](False(),xs) -> False()
        ordered[Ite](True(),Cons(x,xs)) -> ordered(xs)
    - Signature:
        {</2,goal/1,notEmpty/1,ordered/1,ordered[Ite]/2} / {0/0,Cons/2,False/0,Nil/0,S/1,True/0}
    - Obligation:
        innermost runtime complexity wrt. defined symbols {<,goal,notEmpty,ordered,ordered[Ite]} and constructors {0
        ,Cons,False,Nil,S,True}
Following problems could not be solved:
  - Strict TRS:
      goal(xs) -> ordered(xs)
      notEmpty(Cons(x,xs)) -> True()
      notEmpty(Nil()) -> False()
      ordered(Cons(x,Nil())) -> True()
      ordered(Cons(x',Cons(x,xs))) -> ordered[Ite](<(x',x),Cons(x',Cons(x,xs)))
      ordered(Nil()) -> True()
  - Weak TRS:
      <(x,0()) -> False()
      <(0(),S(y)) -> True()
      <(S(x),S(y)) -> <(x,y)
      ordered[Ite](False(),xs) -> False()
      ordered[Ite](True(),Cons(x,xs)) -> ordered(xs)
  - Signature:
      {</2,goal/1,notEmpty/1,ordered/1,ordered[Ite]/2} / {0/0,Cons/2,False/0,Nil/0,S/1,True/0}
  - Obligation:
      innermost runtime complexity wrt. defined symbols {<,goal,notEmpty,ordered,ordered[Ite]} and constructors {0
      ,Cons,False,Nil,S,True}
WORST_CASE(?,O(n^1))