(STRATEGY
    INNERMOST)

(VAR
    x1 x12 x16 x18 x2 x3 x4 x5 x7
    x8)
(DATATYPES
    A = µX.< zipwith_l, plus, tail_l, ConsL(X, X), S(X), 0, fibs, fibs_2(X, X, X), Nil, Cons(X, X), bot[0], zipwith_l_f_xs_ys(X, X, X), bot[6], bot[7] >)
(SIGNATURES
    fibs_2#1 :: [A x A x A x A] -> A
    cond_take_l_n_xs :: [A x A] -> A
    plus#2 :: [A x A] -> A
    cond_zipwith_l_f_xs_ys_1 :: [A x A x A] -> A
    cond_zipwith_l_f_xs_ys :: [A x A] -> A
    zipwith_l_f_xs_ys#1 :: [A x A x A x A] -> A
    zipwith_l#3 :: [A x A] -> A
    main :: [A] -> A)
(RULES
    fibs_2#1(zipwith_l()
            ,plus()
            ,tail_l()
            ,x3) -> ConsL(S(0())
                         ,zipwith_l#3(fibs()
                                     ,fibs_2(zipwith_l()
                                            ,plus()
                                            ,tail_l())))
    cond_take_l_n_xs(ConsL(x16,x18)
                    ,0()) -> Nil()
    cond_take_l_n_xs(ConsL(x7
                          ,fibs_2(x4,x8,x12))
                    ,S(x16)) -> Cons(x7
                                    ,cond_take_l_n_xs(fibs_2#1(x4
                                                              ,x8
                                                              ,x12
                                                              ,bot[0]())
                                                     ,x16))
    cond_take_l_n_xs(ConsL(x7
                          ,zipwith_l_f_xs_ys(x4,x8,x12))
                    ,S(x16)) -> Cons(x7
                                    ,cond_take_l_n_xs(zipwith_l_f_xs_ys#1(x4
                                                                         ,x8
                                                                         ,x12
                                                                         ,bot[0]())
                                                     ,x16))
    plus#2(0(),x12) -> x12
    plus#2(S(x4),x2) -> S(plus#2(x4
                                ,x2))
    cond_zipwith_l_f_xs_ys_1(ConsL(x4
                                  ,x3)
                            ,x2
                            ,x1) -> ConsL(plus#2(x2,x4)
                                         ,zipwith_l#3(x1,x3))
    cond_zipwith_l_f_xs_ys(ConsL(x5
                                ,x4)
                          ,zipwith_l_f_xs_ys(x1,x2,x3)) ->
      cond_zipwith_l_f_xs_ys_1(zipwith_l_f_xs_ys#1(x1
                                                  ,x2
                                                  ,x3
                                                  ,bot[6]())
                              ,x5
                              ,x4)
    cond_zipwith_l_f_xs_ys(ConsL(x5
                                ,x4)
                          ,fibs_2(x1,x2,x3)) ->
      cond_zipwith_l_f_xs_ys_1(fibs_2#1(x1
                                       ,x2
                                       ,x3
                                       ,bot[6]())
                              ,x5
                              ,x4)
    zipwith_l_f_xs_ys#1(plus()
                       ,fibs()
                       ,x5
                       ,x3) ->
      cond_zipwith_l_f_xs_ys(ConsL(0()
                                  ,fibs_2(zipwith_l()
                                         ,plus()
                                         ,tail_l()))
                            ,x5)
    zipwith_l_f_xs_ys#1(plus()
                       ,fibs_2(x3,x4,x5)
                       ,x2
                       ,x1) ->
      cond_zipwith_l_f_xs_ys(fibs_2#1(x3
                                     ,x4
                                     ,x5
                                     ,bot[7]())
                            ,x2)
    zipwith_l_f_xs_ys#1(plus()
                       ,zipwith_l_f_xs_ys(x3,x4,x5)
                       ,x2
                       ,x1) ->
      cond_zipwith_l_f_xs_ys(zipwith_l_f_xs_ys#1(x3
                                                ,x4
                                                ,x5
                                                ,bot[7]())
                            ,x2)
    zipwith_l#3(x8,x4) ->
      zipwith_l_f_xs_ys(plus(),x8,x4)
    main(x12) ->
      cond_take_l_n_xs(ConsL(0()
                            ,fibs_2(zipwith_l()
                                   ,plus()
                                   ,tail_l()))
                      ,x12))