YES
* Step 1: FromIts YES
    + Considered Problem:
        Rules:
          0.  eval_start_start(v__0,v__1,v_y,v_z)  -> eval_start_bb0_in(v__0,v__1,v_y,v_z)      True               (1,1)
          1.  eval_start_bb0_in(v__0,v__1,v_y,v_z) -> eval_start_0(v__0,v__1,v_y,v_z)           True               (?,1)
          2.  eval_start_0(v__0,v__1,v_y,v_z)      -> eval_start_1(v__0,v__1,v_y,v_z)           True               (?,1)
          3.  eval_start_1(v__0,v__1,v_y,v_z)      -> eval_start_2(v__0,v__1,v_y,v_z)           True               (?,1)
          4.  eval_start_2(v__0,v__1,v_y,v_z)      -> eval_start_3(v__0,v__1,v_y,v_z)           True               (?,1)
          5.  eval_start_3(v__0,v__1,v_y,v_z)      -> eval_start_bb1_in(v_y,v__1,v_y,v_z)       True               (?,1)
          6.  eval_start_bb1_in(v__0,v__1,v_y,v_z) -> eval_start_bb2_in(v__0,v__1,v_y,v_z)      [-1 + v_z >= v__0] (?,1)
          7.  eval_start_bb1_in(v__0,v__1,v_y,v_z) -> eval_start_bb3_in(v__0,v__0,v_y,v_z)      [v__0 >= v_z]      (?,1)
          8.  eval_start_bb2_in(v__0,v__1,v_y,v_z) -> eval_start_bb1_in(1 + v__0,v__1,v_y,v_z)  True               (?,1)
          9.  eval_start_bb3_in(v__0,v__1,v_y,v_z) -> eval_start_bb4_in(v__0,v__1,v_y,v_z)      [-1 + v__1 >= 2]   (?,1)
          10. eval_start_bb3_in(v__0,v__1,v_y,v_z) -> eval_start_bb5_in(v__0,v__1,v_y,v_z)      [2 >= v__1]        (?,1)
          11. eval_start_bb4_in(v__0,v__1,v_y,v_z) -> eval_start_bb3_in(v__0,-3 + v__1,v_y,v_z) True               (?,1)
          12. eval_start_bb5_in(v__0,v__1,v_y,v_z) -> eval_start_stop(v__0,v__1,v_y,v_z)        True               (?,1)
        Signature:
          {(eval_start_0,4)
          ;(eval_start_1,4)
          ;(eval_start_2,4)
          ;(eval_start_3,4)
          ;(eval_start_bb0_in,4)
          ;(eval_start_bb1_in,4)
          ;(eval_start_bb2_in,4)
          ;(eval_start_bb3_in,4)
          ;(eval_start_bb4_in,4)
          ;(eval_start_bb5_in,4)
          ;(eval_start_start,4)
          ;(eval_start_stop,4)}
        Flow Graph:
          [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6,7},6->{8},7->{9,10},8->{6,7},9->{11},10->{12},11->{9,10},12->{}]
        
    + Applied Processor:
        FromIts
    + Details:
        ()
* Step 2: Decompose YES
    + Considered Problem:
        Rules:
          eval_start_start(v__0,v__1,v_y,v_z)   -> eval_start_bb0_in(v__0,v__1,v_y,v_z)        True
          eval_start_bb0_in(v__0,v__1,v_y,v_z)  -> eval_start_0(v__0,v__1,v_y,v_z)             True
          eval_start_0(v__0,v__1,v_y,v_z)       -> eval_start_1(v__0,v__1,v_y,v_z)             True
          eval_start_1(v__0,v__1,v_y,v_z)       -> eval_start_2(v__0,v__1,v_y,v_z)             True
          eval_start_2(v__0,v__1,v_y,v_z)       -> eval_start_3(v__0,v__1,v_y,v_z)             True
          eval_start_3(v__0,v__1,v_y,v_z)       -> eval_start_bb1_in(v_y,v__1,v_y,v_z)         True
          eval_start_bb1_in(v__0,v__1,v_y,v_z)  -> eval_start_bb2_in(v__0,v__1,v_y,v_z)        [-1 + v_z >= v__0]
          eval_start_bb1_in(v__0,v__1,v_y,v_z)  -> eval_start_bb3_in(v__0,v__0,v_y,v_z)        [v__0 >= v_z]
          eval_start_bb2_in(v__0,v__1,v_y,v_z)  -> eval_start_bb1_in(1 + v__0,v__1,v_y,v_z)    True
          eval_start_bb3_in(v__0,v__1,v_y,v_z)  -> eval_start_bb4_in(v__0,v__1,v_y,v_z)        [-1 + v__1 >= 2]
          eval_start_bb3_in(v__0,v__1,v_y,v_z)  -> eval_start_bb5_in(v__0,v__1,v_y,v_z)        [2 >= v__1]
          eval_start_bb4_in(v__0,v__1,v_y,v_z)  -> eval_start_bb3_in(v__0,-3 + v__1,v_y,v_z)   True
          eval_start_bb5_in(v__0,v__1,v_y,v_z)  -> eval_start_stop(v__0,v__1,v_y,v_z)          True
        Signature:
          {(eval_start_0,4)
          ;(eval_start_1,4)
          ;(eval_start_2,4)
          ;(eval_start_3,4)
          ;(eval_start_bb0_in,4)
          ;(eval_start_bb1_in,4)
          ;(eval_start_bb2_in,4)
          ;(eval_start_bb3_in,4)
          ;(eval_start_bb4_in,4)
          ;(eval_start_bb5_in,4)
          ;(eval_start_start,4)
          ;(eval_start_stop,4)}
        Rule Graph:
          [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6,7},6->{8},7->{9,10},8->{6,7},9->{11},10->{12},11->{9,10},12->{}]
    + Applied Processor:
        Decompose NoGreedy
    + Details:
        We construct a looptree:
          P: [0,1,2,3,4,5,6,7,8,9,10,11,12]
          |
          +- p:[6,8] c: [6,8]
          |
          `- p:[9,11] c: [9,11]
* Step 3: CloseWith YES
    + Considered Problem:
        (Rules:
          eval_start_start(v__0,v__1,v_y,v_z)   -> eval_start_bb0_in(v__0,v__1,v_y,v_z)        True
          eval_start_bb0_in(v__0,v__1,v_y,v_z)  -> eval_start_0(v__0,v__1,v_y,v_z)             True
          eval_start_0(v__0,v__1,v_y,v_z)       -> eval_start_1(v__0,v__1,v_y,v_z)             True
          eval_start_1(v__0,v__1,v_y,v_z)       -> eval_start_2(v__0,v__1,v_y,v_z)             True
          eval_start_2(v__0,v__1,v_y,v_z)       -> eval_start_3(v__0,v__1,v_y,v_z)             True
          eval_start_3(v__0,v__1,v_y,v_z)       -> eval_start_bb1_in(v_y,v__1,v_y,v_z)         True
          eval_start_bb1_in(v__0,v__1,v_y,v_z)  -> eval_start_bb2_in(v__0,v__1,v_y,v_z)        [-1 + v_z >= v__0]
          eval_start_bb1_in(v__0,v__1,v_y,v_z)  -> eval_start_bb3_in(v__0,v__0,v_y,v_z)        [v__0 >= v_z]
          eval_start_bb2_in(v__0,v__1,v_y,v_z)  -> eval_start_bb1_in(1 + v__0,v__1,v_y,v_z)    True
          eval_start_bb3_in(v__0,v__1,v_y,v_z)  -> eval_start_bb4_in(v__0,v__1,v_y,v_z)        [-1 + v__1 >= 2]
          eval_start_bb3_in(v__0,v__1,v_y,v_z)  -> eval_start_bb5_in(v__0,v__1,v_y,v_z)        [2 >= v__1]
          eval_start_bb4_in(v__0,v__1,v_y,v_z)  -> eval_start_bb3_in(v__0,-3 + v__1,v_y,v_z)   True
          eval_start_bb5_in(v__0,v__1,v_y,v_z)  -> eval_start_stop(v__0,v__1,v_y,v_z)          True
        Signature:
          {(eval_start_0,4)
          ;(eval_start_1,4)
          ;(eval_start_2,4)
          ;(eval_start_3,4)
          ;(eval_start_bb0_in,4)
          ;(eval_start_bb1_in,4)
          ;(eval_start_bb2_in,4)
          ;(eval_start_bb3_in,4)
          ;(eval_start_bb4_in,4)
          ;(eval_start_bb5_in,4)
          ;(eval_start_start,4)
          ;(eval_start_stop,4)}
        Rule Graph:
          [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6,7},6->{8},7->{9,10},8->{6,7},9->{11},10->{12},11->{9,10},12->{}]
        ,We construct a looptree:
          P: [0,1,2,3,4,5,6,7,8,9,10,11,12]
          |
          +- p:[6,8] c: [6,8]
          |
          `- p:[9,11] c: [9,11])
    + Applied Processor:
        CloseWith True
    + Details:
        ()

YES