YES
* Step 1: FromIts YES
    + Considered Problem:
        Rules:
          0. evalSimpleMultiplestart(A,B,C,D)    -> evalSimpleMultipleentryin(A,B,C,D)   True         (1,1)
          1. evalSimpleMultipleentryin(A,B,C,D)  -> evalSimpleMultiplebb3in(0,0,C,D)     True         (?,1)
          2. evalSimpleMultiplebb3in(A,B,C,D)    -> evalSimpleMultiplebbin(A,B,C,D)      [C >= 1 + B] (?,1)
          3. evalSimpleMultiplebb3in(A,B,C,D)    -> evalSimpleMultiplereturnin(A,B,C,D)  [B >= C]     (?,1)
          4. evalSimpleMultiplebbin(A,B,C,D)     -> evalSimpleMultiplebb1in(A,B,C,D)     [D >= 1 + A] (?,1)
          5. evalSimpleMultiplebbin(A,B,C,D)     -> evalSimpleMultiplebb2in(A,B,C,D)     [A >= D]     (?,1)
          6. evalSimpleMultiplebb1in(A,B,C,D)    -> evalSimpleMultiplebb3in(1 + A,B,C,D) True         (?,1)
          7. evalSimpleMultiplebb2in(A,B,C,D)    -> evalSimpleMultiplebb3in(A,1 + B,C,D) True         (?,1)
          8. evalSimpleMultiplereturnin(A,B,C,D) -> evalSimpleMultiplestop(A,B,C,D)      True         (?,1)
        Signature:
          {(evalSimpleMultiplebb1in,4)
          ;(evalSimpleMultiplebb2in,4)
          ;(evalSimpleMultiplebb3in,4)
          ;(evalSimpleMultiplebbin,4)
          ;(evalSimpleMultipleentryin,4)
          ;(evalSimpleMultiplereturnin,4)
          ;(evalSimpleMultiplestart,4)
          ;(evalSimpleMultiplestop,4)}
        Flow Graph:
          [0->{1},1->{2,3},2->{4,5},3->{8},4->{6},5->{7},6->{2,3},7->{2,3},8->{}]
        
    + Applied Processor:
        FromIts
    + Details:
        ()
* Step 2: Decompose YES
    + Considered Problem:
        Rules:
          evalSimpleMultiplestart(A,B,C,D)     -> evalSimpleMultipleentryin(A,B,C,D)     True
          evalSimpleMultipleentryin(A,B,C,D)   -> evalSimpleMultiplebb3in(0,0,C,D)       True
          evalSimpleMultiplebb3in(A,B,C,D)     -> evalSimpleMultiplebbin(A,B,C,D)        [C >= 1 + B]
          evalSimpleMultiplebb3in(A,B,C,D)     -> evalSimpleMultiplereturnin(A,B,C,D)    [B >= C]
          evalSimpleMultiplebbin(A,B,C,D)      -> evalSimpleMultiplebb1in(A,B,C,D)       [D >= 1 + A]
          evalSimpleMultiplebbin(A,B,C,D)      -> evalSimpleMultiplebb2in(A,B,C,D)       [A >= D]
          evalSimpleMultiplebb1in(A,B,C,D)     -> evalSimpleMultiplebb3in(1 + A,B,C,D)   True
          evalSimpleMultiplebb2in(A,B,C,D)     -> evalSimpleMultiplebb3in(A,1 + B,C,D)   True
          evalSimpleMultiplereturnin(A,B,C,D)  -> evalSimpleMultiplestop(A,B,C,D)        True
        Signature:
          {(evalSimpleMultiplebb1in,4)
          ;(evalSimpleMultiplebb2in,4)
          ;(evalSimpleMultiplebb3in,4)
          ;(evalSimpleMultiplebbin,4)
          ;(evalSimpleMultipleentryin,4)
          ;(evalSimpleMultiplereturnin,4)
          ;(evalSimpleMultiplestart,4)
          ;(evalSimpleMultiplestop,4)}
        Rule Graph:
          [0->{1},1->{2,3},2->{4,5},3->{8},4->{6},5->{7},6->{2,3},7->{2,3},8->{}]
    + Applied Processor:
        Decompose NoGreedy
    + Details:
        We construct a looptree:
          P: [0,1,2,3,4,5,6,7,8]
          |
          `- p:[2,6,4,7,5] c: [4,6]
             |
             `- p:[2,7,5] c: [2,5,7]
* Step 3: CloseWith YES
    + Considered Problem:
        (Rules:
          evalSimpleMultiplestart(A,B,C,D)     -> evalSimpleMultipleentryin(A,B,C,D)     True
          evalSimpleMultipleentryin(A,B,C,D)   -> evalSimpleMultiplebb3in(0,0,C,D)       True
          evalSimpleMultiplebb3in(A,B,C,D)     -> evalSimpleMultiplebbin(A,B,C,D)        [C >= 1 + B]
          evalSimpleMultiplebb3in(A,B,C,D)     -> evalSimpleMultiplereturnin(A,B,C,D)    [B >= C]
          evalSimpleMultiplebbin(A,B,C,D)      -> evalSimpleMultiplebb1in(A,B,C,D)       [D >= 1 + A]
          evalSimpleMultiplebbin(A,B,C,D)      -> evalSimpleMultiplebb2in(A,B,C,D)       [A >= D]
          evalSimpleMultiplebb1in(A,B,C,D)     -> evalSimpleMultiplebb3in(1 + A,B,C,D)   True
          evalSimpleMultiplebb2in(A,B,C,D)     -> evalSimpleMultiplebb3in(A,1 + B,C,D)   True
          evalSimpleMultiplereturnin(A,B,C,D)  -> evalSimpleMultiplestop(A,B,C,D)        True
        Signature:
          {(evalSimpleMultiplebb1in,4)
          ;(evalSimpleMultiplebb2in,4)
          ;(evalSimpleMultiplebb3in,4)
          ;(evalSimpleMultiplebbin,4)
          ;(evalSimpleMultipleentryin,4)
          ;(evalSimpleMultiplereturnin,4)
          ;(evalSimpleMultiplestart,4)
          ;(evalSimpleMultiplestop,4)}
        Rule Graph:
          [0->{1},1->{2,3},2->{4,5},3->{8},4->{6},5->{7},6->{2,3},7->{2,3},8->{}]
        ,We construct a looptree:
          P: [0,1,2,3,4,5,6,7,8]
          |
          `- p:[2,6,4,7,5] c: [4,6]
             |
             `- p:[2,7,5] c: [2,5,7])
    + Applied Processor:
        CloseWith True
    + Details:
        ()

YES