WORST_CASE(?,O(n^1))
* Step 1: Ara WORST_CASE(?,O(n^1))
    + Considered Problem:
        - Strict TRS:
            activate(X) -> X
            activate(n__first(X1,X2)) -> first(X1,X2)
            activate(n__from(X)) -> from(X)
            first(X1,X2) -> n__first(X1,X2)
            first(0(),X) -> nil()
            first(s(X),cons(Y,Z)) -> cons(Y,n__first(X,activate(Z)))
            from(X) -> cons(X,n__from(s(X)))
            from(X) -> n__from(X)
        - Signature:
            {activate/1,first/2,from/1} / {0/0,cons/2,n__first/2,n__from/1,nil/0,s/1}
        - Obligation:
            innermost runtime complexity wrt. defined symbols {activate,first,from} and constructors {0,cons,n__first
            ,n__from,nil,s}
    + Applied Processor:
        Ara {heuristics_ = NoHeuristics, minDegree = 1, maxDegree = 3, araTimeout = 60, araFindStrictRules = Nothing, araSmtSolver = MiniSMT}
    + Details:
        Signatures used:
        ----------------
          0 :: [] -(0)-> A(4)
          activate :: [A(4)] -(8)-> A(0)
          cons :: [A(0) x A(4)] -(0)-> A(4)
          cons :: [A(0) x A(0)] -(0)-> A(0)
          first :: [A(4) x A(4)] -(5)-> A(0)
          from :: [A(0)] -(10)-> A(0)
          n__first :: [A(4) x A(4)] -(0)-> A(4)
          n__first :: [A(0) x A(0)] -(0)-> A(0)
          n__from :: [A(0)] -(4)-> A(4)
          n__from :: [A(0)] -(0)-> A(0)
          nil :: [] -(0)-> A(1)
          s :: [A(0)] -(4)-> A(4)
          s :: [A(0)] -(0)-> A(0)
        
        
        Cost-free Signatures used:
        --------------------------
          0 :: [] -(0)-> A_cf(0)
          activate :: [A_cf(0)] -(0)-> A_cf(0)
          cons :: [A_cf(0) x A_cf(0)] -(0)-> A_cf(0)
          first :: [A_cf(0) x A_cf(0)] -(0)-> A_cf(0)
          from :: [A_cf(0)] -(0)-> A_cf(0)
          n__first :: [A_cf(0) x A_cf(0)] -(0)-> A_cf(0)
          n__from :: [A_cf(0)] -(0)-> A_cf(0)
          nil :: [] -(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(1)] -(0)-> A(1)
          n__first_A :: [A(0) x A(0)] -(0)-> A(1)
          n__from_A :: [A(0)] -(1)-> A(1)
          nil_A :: [] -(0)-> A(1)
          s_A :: [A(0)] -(1)-> A(1)
        
* Step 2: Open MAYBE
    - Strict TRS:
        activate(X) -> X
        activate(n__first(X1,X2)) -> first(X1,X2)
        activate(n__from(X)) -> from(X)
        first(X1,X2) -> n__first(X1,X2)
        first(0(),X) -> nil()
        first(s(X),cons(Y,Z)) -> cons(Y,n__first(X,activate(Z)))
        from(X) -> cons(X,n__from(s(X)))
        from(X) -> n__from(X)
    - Signature:
        {activate/1,first/2,from/1} / {0/0,cons/2,n__first/2,n__from/1,nil/0,s/1}
    - Obligation:
        innermost runtime complexity wrt. defined symbols {activate,first,from} and constructors {0,cons,n__first
        ,n__from,nil,s}
Following problems could not be solved:
  - Strict TRS:
      activate(X) -> X
      activate(n__first(X1,X2)) -> first(X1,X2)
      activate(n__from(X)) -> from(X)
      first(X1,X2) -> n__first(X1,X2)
      first(0(),X) -> nil()
      first(s(X),cons(Y,Z)) -> cons(Y,n__first(X,activate(Z)))
      from(X) -> cons(X,n__from(s(X)))
      from(X) -> n__from(X)
  - Signature:
      {activate/1,first/2,from/1} / {0/0,cons/2,n__first/2,n__from/1,nil/0,s/1}
  - Obligation:
      innermost runtime complexity wrt. defined symbols {activate,first,from} and constructors {0,cons,n__first
      ,n__from,nil,s}
WORST_CASE(?,O(n^1))