WORST_CASE(?,O(n^2))
* Step 1: Ara WORST_CASE(?,O(n^2))
    + Considered Problem:
        - Strict TRS:
            fac(0()) -> s(0())
            fac(s(x)) -> times(s(x),fac(p(s(x))))
            p(s(x)) -> x
        - Signature:
            {fac/1,p/1} / {0/0,s/1,times/2}
        - Obligation:
            innermost runtime complexity wrt. defined symbols {fac,p} and constructors {0,s,times}
    + Applied Processor:
        Ara {heuristics_ = NoHeuristics, minDegree = 1, maxDegree = 3, araTimeout = 60, araFindStrictRules = Nothing, araSmtSolver = Z3}
    + Details:
        Signatures used:
        ----------------
          0 :: [] -(0)-> A(8, 7)
          0 :: [] -(0)-> A(15, 11)
          fac :: [A(8, 7)] -(5)-> A(0, 1)
          p :: [A(1, 7)] -(0)-> A(8, 7)
          s :: [A(15, 7)] -(8)-> A(8, 7)
          s :: [A(8, 7)] -(1)-> A(1, 7)
          s :: [A(6, 3)] -(3)-> A(3, 3)
          s :: [A(0, 0)] -(0)-> A(0, 0)
          times :: [A(0, 0) x A(0, 0)] -(0)-> A(1, 2)
        
        
        Cost-free Signatures used:
        --------------------------
          0 :: [] -(0)-> A_cf(0, 0)
          0 :: [] -(0)-> A_cf(11, 11)
          fac :: [A_cf(0, 0)] -(2)-> A_cf(0, 9)
          p :: [A_cf(0, 0)] -(0)-> A_cf(0, 0)
          s :: [A_cf(0, 0)] -(0)-> A_cf(0, 0)
          s :: [A_cf(11, 9)] -(2)-> A_cf(2, 9)
          times :: [A_cf(0, 0) x A_cf(0, 0)] -(0)-> A_cf(3, 12)
        
        
        Base Constructor Signatures used:
        ---------------------------------
          0_A :: [] -(0)-> A(1, 0)
          0_A :: [] -(0)-> A(0, 1)
          s_A :: [A(1, 0)] -(1)-> A(1, 0)
          s_A :: [A(1, 1)] -(0)-> A(0, 1)
          times_A :: [A(0, 0) x A(0, 0)] -(0)-> A(1, 0)
          times_A :: [A(0, 0) x A(0, 0)] -(0)-> A(0, 1)
        
* Step 2: Open MAYBE
    - Strict TRS:
        fac(0()) -> s(0())
        fac(s(x)) -> times(s(x),fac(p(s(x))))
        p(s(x)) -> x
    - Signature:
        {fac/1,p/1} / {0/0,s/1,times/2}
    - Obligation:
        innermost runtime complexity wrt. defined symbols {fac,p} and constructors {0,s,times}
Following problems could not be solved:
  - Strict TRS:
      fac(0()) -> s(0())
      fac(s(x)) -> times(s(x),fac(p(s(x))))
      p(s(x)) -> x
  - Signature:
      {fac/1,p/1} / {0/0,s/1,times/2}
  - Obligation:
      innermost runtime complexity wrt. defined symbols {fac,p} and constructors {0,s,times}
WORST_CASE(?,O(n^2))