WORST_CASE(?,O(n^3))
* Step 1: Ara WORST_CASE(?,O(n^3))
    + Considered Problem:
        - Strict TRS:
            if(false(),x,y) -> y
            if(true(),x,y) -> x
            le(0(),y) -> true()
            le(s(x),0()) -> false()
            le(s(x),s(y)) -> le(x,y)
            minus(x,0()) -> x
            minus(x,s(y)) -> if(le(x,s(y)),0(),p(minus(x,p(s(y)))))
            p(0()) -> 0()
            p(s(x)) -> x
        - Signature:
            {if/3,le/2,minus/2,p/1} / {0/0,false/0,s/1,true/0}
        - Obligation:
            innermost runtime complexity wrt. defined symbols {if,le,minus,p} and constructors {0,false,s,true}
    + Applied Processor:
        Ara {heuristics_ = NoHeuristics, minDegree = 1, maxDegree = 3, araTimeout = 60, araFindStrictRules = Nothing, araSmtSolver = MiniSMT}
    + Details:
        Signatures used:
        ----------------
          0 :: [] -(0)-> A(0, 0, 0)
          0 :: [] -(0)-> A(1, 0, 0)
          0 :: [] -(0)-> A(6, 1, 6)
          0 :: [] -(0)-> A(0, 6, 6)
          0 :: [] -(0)-> A(0, 7, 7)
          0 :: [] -(0)-> A(6, 6, 6)
          false :: [] -(0)-> A(0, 1, 0)
          false :: [] -(0)-> A(1, 4, 4)
          if :: [A(0, 1, 0) x A(0, 7, 7) x A(0, 6, 6)] -(1)-> A(0, 6, 6)
          le :: [A(0, 0, 0) x A(1, 0, 0)] -(1)-> A(0, 4, 4)
          minus :: [A(0, 7, 6) x A(6, 1, 6)] -(1)-> A(0, 6, 6)
          p :: [A(0, 6, 6)] -(1)-> A(6, 6, 6)
          s :: [A(0, 0, 0)] -(0)-> A(0, 0, 0)
          s :: [A(1, 0, 0)] -(1)-> A(1, 0, 0)
          s :: [A(7, 6, 6)] -(6)-> A(6, 1, 6)
          s :: [A(6, 6, 6)] -(0)-> A(0, 6, 6)
          true :: [] -(0)-> A(0, 1, 0)
          true :: [] -(0)-> A(0, 5, 4)
        
        
        Cost-free Signatures used:
        --------------------------
          0 :: [] -(0)-> A_cf(0, 0, 0)
          false :: [] -(0)-> A_cf(0, 0, 0)
          if :: [A_cf(0, 0, 0) x A_cf(0, 0, 0) x A_cf(0, 0, 0)] -(0)-> A_cf(0, 0, 0)
          le :: [A_cf(0, 0, 0) x A_cf(0, 0, 0)] -(0)-> A_cf(0, 0, 0)
          minus :: [A_cf(0, 0, 0) x A_cf(0, 0, 0)] -(0)-> A_cf(0, 0, 0)
          p :: [A_cf(0, 0, 0)] -(0)-> A_cf(0, 0, 0)
          s :: [A_cf(0, 0, 0)] -(0)-> A_cf(0, 0, 0)
          true :: [] -(0)-> A_cf(0, 0, 0)
        
        
        Base Constructor Signatures used:
        ---------------------------------
          0_A :: [] -(0)-> A(1, 0, 0)
          0_A :: [] -(0)-> A(0, 1, 0)
          0_A :: [] -(0)-> A(0, 0, 1)
          false_A :: [] -(0)-> A(1, 0, 0)
          false_A :: [] -(0)-> A(0, 1, 0)
          false_A :: [] -(0)-> A(0, 0, 1)
          s_A :: [A(1, 0, 0)] -(1)-> A(1, 0, 0)
          s_A :: [A(1, 0, 0)] -(0)-> A(0, 1, 0)
          s_A :: [A(0, 1, 1)] -(0)-> A(0, 0, 1)
          true_A :: [] -(0)-> A(1, 0, 0)
          true_A :: [] -(0)-> A(0, 1, 0)
          true_A :: [] -(0)-> A(0, 0, 1)
        
* Step 2: Open MAYBE
    - Strict TRS:
        if(false(),x,y) -> y
        if(true(),x,y) -> x
        le(0(),y) -> true()
        le(s(x),0()) -> false()
        le(s(x),s(y)) -> le(x,y)
        minus(x,0()) -> x
        minus(x,s(y)) -> if(le(x,s(y)),0(),p(minus(x,p(s(y)))))
        p(0()) -> 0()
        p(s(x)) -> x
    - Signature:
        {if/3,le/2,minus/2,p/1} / {0/0,false/0,s/1,true/0}
    - Obligation:
        innermost runtime complexity wrt. defined symbols {if,le,minus,p} and constructors {0,false,s,true}
Following problems could not be solved:
  - Strict TRS:
      if(false(),x,y) -> y
      if(true(),x,y) -> x
      le(0(),y) -> true()
      le(s(x),0()) -> false()
      le(s(x),s(y)) -> le(x,y)
      minus(x,0()) -> x
      minus(x,s(y)) -> if(le(x,s(y)),0(),p(minus(x,p(s(y)))))
      p(0()) -> 0()
      p(s(x)) -> x
  - Signature:
      {if/3,le/2,minus/2,p/1} / {0/0,false/0,s/1,true/0}
  - Obligation:
      innermost runtime complexity wrt. defined symbols {if,le,minus,p} and constructors {0,false,s,true}
WORST_CASE(?,O(n^3))