WORST_CASE(?,O(n^1))
* Step 1: Ara WORST_CASE(?,O(n^1))
    + Considered Problem:
        - Strict TRS:
            activate(X) -> X
            activate(n__f(X)) -> f(X)
            f(X) -> n__f(X)
            f(0()) -> cons(0(),n__f(s(0())))
            f(s(0())) -> f(p(s(0())))
            p(s(0())) -> 0()
        - Signature:
            {activate/1,f/1,p/1} / {0/0,cons/2,n__f/1,s/1}
        - Obligation:
            innermost runtime complexity wrt. defined symbols {activate,f,p} and constructors {0,cons,n__f,s}
    + Applied Processor:
        Ara {heuristics_ = NoHeuristics, minDegree = 1, maxDegree = 3, araTimeout = 60, araFindStrictRules = Nothing, araSmtSolver = MiniSMT}
    + Details:
        Signatures used:
        ----------------
          0 :: [] -(0)-> A(8)
          0 :: [] -(0)-> A(0)
          0 :: [] -(0)-> A(9)
          0 :: [] -(0)-> A(1)
          0 :: [] -(0)-> A(12)
          activate :: [A(8)] -(13)-> A(1)
          cons :: [A(0) x A(0)] -(0)-> A(1)
          f :: [A(8)] -(8)-> A(1)
          n__f :: [A(8)] -(0)-> A(8)
          n__f :: [A(0)] -(0)-> A(0)
          p :: [A(0)] -(1)-> A(10)
          s :: [A(0)] -(8)-> A(8)
          s :: [A(0)] -(0)-> A(0)
        
        
        Cost-free Signatures used:
        --------------------------
          0 :: [] -(0)-> A_cf(0)
          cons :: [A_cf(0) x A_cf(0)] -(0)-> A_cf(0)
          f :: [A_cf(0)] -(0)-> A_cf(0)
          n__f :: [A_cf(0)] -(0)-> A_cf(0)
          p :: [A_cf(0)] -(0)-> A_cf(0)
          s :: [A_cf(0)] -(0)-> A_cf(0)
        
        
        Base Constructor Signatures used:
        ---------------------------------
          0_A :: [] -(0)-> A(1)
          cons_A :: [A(0) x A(0)] -(0)-> A(1)
          n__f_A :: [A(0)] -(0)-> A(1)
          s_A :: [A(0)] -(1)-> A(1)
        
* Step 2: Open MAYBE
    - Strict TRS:
        activate(X) -> X
        activate(n__f(X)) -> f(X)
        f(X) -> n__f(X)
        f(0()) -> cons(0(),n__f(s(0())))
        f(s(0())) -> f(p(s(0())))
        p(s(0())) -> 0()
    - Signature:
        {activate/1,f/1,p/1} / {0/0,cons/2,n__f/1,s/1}
    - Obligation:
        innermost runtime complexity wrt. defined symbols {activate,f,p} and constructors {0,cons,n__f,s}
Following problems could not be solved:
  - Strict TRS:
      activate(X) -> X
      activate(n__f(X)) -> f(X)
      f(X) -> n__f(X)
      f(0()) -> cons(0(),n__f(s(0())))
      f(s(0())) -> f(p(s(0())))
      p(s(0())) -> 0()
  - Signature:
      {activate/1,f/1,p/1} / {0/0,cons/2,n__f/1,s/1}
  - Obligation:
      innermost runtime complexity wrt. defined symbols {activate,f,p} and constructors {0,cons,n__f,s}
WORST_CASE(?,O(n^1))