WORST_CASE(?,O(n^1))
* Step 1: Ara WORST_CASE(?,O(n^1))
    + Considered Problem:
        - Strict TRS:
            group3(@l) -> group3#1(@l)
            group3#1(::(@x,@xs)) -> group3#2(@xs,@x)
            group3#1(nil()) -> nil()
            group3#2(::(@y,@ys),@x) -> group3#3(@ys,@x,@y)
            group3#2(nil(),@x) -> nil()
            group3#3(::(@z,@zs),@x,@y) -> ::(tuple#3(@x,@y,@z),group3(@zs))
            group3#3(nil(),@x,@y) -> nil()
            zip3(@l1,@l2,@l3) -> zip3#1(@l1,@l2,@l3)
            zip3#1(::(@x,@xs),@l2,@l3) -> zip3#2(@l2,@l3,@x,@xs)
            zip3#1(nil(),@l2,@l3) -> nil()
            zip3#2(::(@y,@ys),@l3,@x,@xs) -> zip3#3(@l3,@x,@xs,@y,@ys)
            zip3#2(nil(),@l3,@x,@xs) -> nil()
            zip3#3(::(@z,@zs),@x,@xs,@y,@ys) -> ::(tuple#3(@x,@y,@z),zip3(@xs,@ys,@zs))
            zip3#3(nil(),@x,@xs,@y,@ys) -> nil()
        - Signature:
            {group3/1,group3#1/1,group3#2/2,group3#3/3,zip3/3,zip3#1/3,zip3#2/4,zip3#3/5} / {::/2,nil/0,tuple#3/3}
        - Obligation:
            innermost runtime complexity wrt. defined symbols {group3,group3#1,group3#2,group3#3,zip3,zip3#1,zip3#2
            ,zip3#3} and constructors {::,nil,tuple#3}
    + Applied Processor:
        Ara {heuristics_ = NoHeuristics, minDegree = 1, maxDegree = 3, araTimeout = 60, araFindStrictRules = Nothing, araSmtSolver = Z3}
    + Details:
        Signatures used:
        ----------------
          :: :: [A(13) x A(13)] -(13)-> A(13)
          :: :: [A(4) x A(4)] -(4)-> A(4)
          :: :: [A(10) x A(10)] -(10)-> A(10)
          :: :: [A(15) x A(15)] -(15)-> A(15)
          :: :: [A(3) x A(3)] -(3)-> A(3)
          :: :: [A(2) x A(2)] -(2)-> A(2)
          group3 :: [A(13)] -(11)-> A(3)
          group3#1 :: [A(13)] -(7)-> A(3)
          group3#2 :: [A(13) x A(13)] -(1)-> A(3)
          group3#3 :: [A(13) x A(13) x A(13)] -(10)-> A(3)
          nil :: [] -(0)-> A(13)
          nil :: [] -(0)-> A(4)
          nil :: [] -(0)-> A(10)
          nil :: [] -(0)-> A(15)
          nil :: [] -(0)-> A(5)
          tuple#3 :: [A(9) x A(9) x A(9)] -(0)-> A(9)
          tuple#3 :: [A(2) x A(2) x A(2)] -(0)-> A(2)
          zip3 :: [A(4) x A(10) x A(15)] -(9)-> A(2)
          zip3#1 :: [A(4) x A(10) x A(15)] -(7)-> A(2)
          zip3#2 :: [A(10) x A(15) x A(4) x A(4)] -(2)-> A(2)
          zip3#3 :: [A(15) x A(4) x A(4) x A(10) x A(10)] -(8)-> A(2)
        
        
        Cost-free Signatures used:
        --------------------------
          :: :: [A_cf(0) x A_cf(0)] -(0)-> A_cf(0)
          group3 :: [A_cf(0)] -(0)-> A_cf(0)
          group3#1 :: [A_cf(0)] -(0)-> A_cf(0)
          group3#2 :: [A_cf(0) x A_cf(0)] -(0)-> A_cf(0)
          group3#3 :: [A_cf(0) x A_cf(0) x A_cf(0)] -(0)-> A_cf(0)
          nil :: [] -(0)-> A_cf(0)
          tuple#3 :: [A_cf(0) x A_cf(0) x A_cf(0)] -(0)-> A_cf(0)
          zip3 :: [A_cf(0) x A_cf(0) x A_cf(0)] -(0)-> A_cf(0)
          zip3#1 :: [A_cf(0) x A_cf(0) x A_cf(0)] -(0)-> A_cf(0)
          zip3#2 :: [A_cf(0) x A_cf(0) x A_cf(0) x A_cf(0)] -(0)-> A_cf(0)
          zip3#3 :: [A_cf(0) x A_cf(0) x A_cf(0) x A_cf(0) x A_cf(0)] -(0)-> A_cf(0)
        
        
        Base Constructor Signatures used:
        ---------------------------------
          ::_A :: [A(0) x A(0)] -(0)-> A(0)
          nil_A :: [] -(0)-> A(1)
          tuple#3_A :: [A(0) x A(0) x A(0)] -(0)-> A(0)
        
* Step 2: Open MAYBE
    - Strict TRS:
        group3(@l) -> group3#1(@l)
        group3#1(::(@x,@xs)) -> group3#2(@xs,@x)
        group3#1(nil()) -> nil()
        group3#2(::(@y,@ys),@x) -> group3#3(@ys,@x,@y)
        group3#2(nil(),@x) -> nil()
        group3#3(::(@z,@zs),@x,@y) -> ::(tuple#3(@x,@y,@z),group3(@zs))
        group3#3(nil(),@x,@y) -> nil()
        zip3(@l1,@l2,@l3) -> zip3#1(@l1,@l2,@l3)
        zip3#1(::(@x,@xs),@l2,@l3) -> zip3#2(@l2,@l3,@x,@xs)
        zip3#1(nil(),@l2,@l3) -> nil()
        zip3#2(::(@y,@ys),@l3,@x,@xs) -> zip3#3(@l3,@x,@xs,@y,@ys)
        zip3#2(nil(),@l3,@x,@xs) -> nil()
        zip3#3(::(@z,@zs),@x,@xs,@y,@ys) -> ::(tuple#3(@x,@y,@z),zip3(@xs,@ys,@zs))
        zip3#3(nil(),@x,@xs,@y,@ys) -> nil()
    - Signature:
        {group3/1,group3#1/1,group3#2/2,group3#3/3,zip3/3,zip3#1/3,zip3#2/4,zip3#3/5} / {::/2,nil/0,tuple#3/3}
    - Obligation:
        innermost runtime complexity wrt. defined symbols {group3,group3#1,group3#2,group3#3,zip3,zip3#1,zip3#2
        ,zip3#3} and constructors {::,nil,tuple#3}
Following problems could not be solved:
  - Strict TRS:
      group3(@l) -> group3#1(@l)
      group3#1(::(@x,@xs)) -> group3#2(@xs,@x)
      group3#1(nil()) -> nil()
      group3#2(::(@y,@ys),@x) -> group3#3(@ys,@x,@y)
      group3#2(nil(),@x) -> nil()
      group3#3(::(@z,@zs),@x,@y) -> ::(tuple#3(@x,@y,@z),group3(@zs))
      group3#3(nil(),@x,@y) -> nil()
      zip3(@l1,@l2,@l3) -> zip3#1(@l1,@l2,@l3)
      zip3#1(::(@x,@xs),@l2,@l3) -> zip3#2(@l2,@l3,@x,@xs)
      zip3#1(nil(),@l2,@l3) -> nil()
      zip3#2(::(@y,@ys),@l3,@x,@xs) -> zip3#3(@l3,@x,@xs,@y,@ys)
      zip3#2(nil(),@l3,@x,@xs) -> nil()
      zip3#3(::(@z,@zs),@x,@xs,@y,@ys) -> ::(tuple#3(@x,@y,@z),zip3(@xs,@ys,@zs))
      zip3#3(nil(),@x,@xs,@y,@ys) -> nil()
  - Signature:
      {group3/1,group3#1/1,group3#2/2,group3#3/3,zip3/3,zip3#1/3,zip3#2/4,zip3#3/5} / {::/2,nil/0,tuple#3/3}
  - Obligation:
      innermost runtime complexity wrt. defined symbols {group3,group3#1,group3#2,group3#3,zip3,zip3#1,zip3#2
      ,zip3#3} and constructors {::,nil,tuple#3}
WORST_CASE(?,O(n^1))