YES
* Step 1: FromIts YES
    + Considered Problem:
        Rules:
          0. evalNestedMultipleDepstart(A,B,C,D,E)    -> evalNestedMultipleDepentryin(A,B,C,D,E)   True                                                             (1,1)
          1. evalNestedMultipleDepentryin(A,B,C,D,E)  -> evalNestedMultipleDepbb3in(0,B,C,D,E)     True                                                             (?,1)
          2. evalNestedMultipleDepbb3in(A,B,C,D,E)    -> evalNestedMultipleDepbbin(A,B,C,D,E)      [A >= 0 && B >= 1 + A]                                           (?,1)
          3. evalNestedMultipleDepbb3in(A,B,C,D,E)    -> evalNestedMultipleDepreturnin(A,B,C,D,E)  [A >= 0 && A >= B]                                               (?,1)
          4. evalNestedMultipleDepbbin(A,B,C,D,E)     -> evalNestedMultipleDepbb2in(A,B,1 + A,0,E) [-1 + B >= 0 && -1 + A + B >= 0 && -1 + -1*A + B >= 0 && A >= 0] (?,1)
          5. evalNestedMultipleDepbb2in(A,B,C,D,E)    -> evalNestedMultipleDepbb1in(A,B,C,D,E)     [D >= 0                                                          (?,1)
                                                                                                    && -1 + C + D >= 0                                                   
                                                                                                    && -1 + B + D >= 0                                                   
                                                                                                    && A + D >= 0                                                        
                                                                                                    && B + -1*C >= 0                                                     
                                                                                                    && 1 + A + -1*C >= 0                                                 
                                                                                                    && -1 + C >= 0                                                       
                                                                                                    && -2 + B + C >= 0                                                   
                                                                                                    && -1 + A + C >= 0                                                   
                                                                                                    && -1 + -1*A + C >= 0                                                
                                                                                                    && -1 + B >= 0                                                       
                                                                                                    && -1 + A + B >= 0                                                   
                                                                                                    && -1 + -1*A + B >= 0                                                
                                                                                                    && A >= 0                                                            
                                                                                                    && E >= 1 + D]                                                       
          6. evalNestedMultipleDepbb2in(A,B,C,D,E)    -> evalNestedMultipleDepbb3in(C,B,C,D,E)     [D >= 0                                                          (?,1)
                                                                                                    && -1 + C + D >= 0                                                   
                                                                                                    && -1 + B + D >= 0                                                   
                                                                                                    && A + D >= 0                                                        
                                                                                                    && B + -1*C >= 0                                                     
                                                                                                    && 1 + A + -1*C >= 0                                                 
                                                                                                    && -1 + C >= 0                                                       
                                                                                                    && -2 + B + C >= 0                                                   
                                                                                                    && -1 + A + C >= 0                                                   
                                                                                                    && -1 + -1*A + C >= 0                                                
                                                                                                    && -1 + B >= 0                                                       
                                                                                                    && -1 + A + B >= 0                                                   
                                                                                                    && -1 + -1*A + B >= 0                                                
                                                                                                    && A >= 0                                                            
                                                                                                    && D >= E]                                                           
          7. evalNestedMultipleDepbb1in(A,B,C,D,E)    -> evalNestedMultipleDepbb2in(A,B,C,1 + D,E) [-1 + E >= 0                                                     (?,1)
                                                                                                    && -1 + D + E >= 0                                                   
                                                                                                    && -1 + -1*D + E >= 0                                                
                                                                                                    && -2 + C + E >= 0                                                   
                                                                                                    && -2 + B + E >= 0                                                   
                                                                                                    && -1 + A + E >= 0                                                   
                                                                                                    && D >= 0                                                            
                                                                                                    && -1 + C + D >= 0                                                   
                                                                                                    && -1 + B + D >= 0                                                   
                                                                                                    && A + D >= 0                                                        
                                                                                                    && B + -1*C >= 0                                                     
                                                                                                    && 1 + A + -1*C >= 0                                                 
                                                                                                    && -1 + C >= 0                                                       
                                                                                                    && -2 + B + C >= 0                                                   
                                                                                                    && -1 + A + C >= 0                                                   
                                                                                                    && -1 + -1*A + C >= 0                                                
                                                                                                    && -1 + B >= 0                                                       
                                                                                                    && -1 + A + B >= 0                                                   
                                                                                                    && -1 + -1*A + B >= 0                                                
                                                                                                    && A >= 0]                                                           
          8. evalNestedMultipleDepreturnin(A,B,C,D,E) -> evalNestedMultipleDepstop(A,B,C,D,E)      [A + -1*B >= 0 && A >= 0]                                        (?,1)
        Signature:
          {(evalNestedMultipleDepbb1in,5)
          ;(evalNestedMultipleDepbb2in,5)
          ;(evalNestedMultipleDepbb3in,5)
          ;(evalNestedMultipleDepbbin,5)
          ;(evalNestedMultipleDepentryin,5)
          ;(evalNestedMultipleDepreturnin,5)
          ;(evalNestedMultipleDepstart,5)
          ;(evalNestedMultipleDepstop,5)}
        Flow Graph:
          [0->{1},1->{2,3},2->{4},3->{8},4->{5,6},5->{7},6->{2,3},7->{5,6},8->{}]
        
    + Applied Processor:
        FromIts
    + Details:
        ()
* Step 2: Decompose YES
    + Considered Problem:
        Rules:
          evalNestedMultipleDepstart(A,B,C,D,E)     -> evalNestedMultipleDepentryin(A,B,C,D,E)     True
          evalNestedMultipleDepentryin(A,B,C,D,E)   -> evalNestedMultipleDepbb3in(0,B,C,D,E)       True
          evalNestedMultipleDepbb3in(A,B,C,D,E)     -> evalNestedMultipleDepbbin(A,B,C,D,E)        [A >= 0
                                                                                                    && B >= 1 + A]
          evalNestedMultipleDepbb3in(A,B,C,D,E)     -> evalNestedMultipleDepreturnin(A,B,C,D,E)    [A >= 0 && A >= B]
          evalNestedMultipleDepbbin(A,B,C,D,E)      -> evalNestedMultipleDepbb2in(A,B,1 + A,0,E)   [-1 + B >= 0
                                                                                                    && -1 + A + B >= 0
                                                                                                    && -1 + -1*A + B >= 0
                                                                                                    && A >= 0]
          evalNestedMultipleDepbb2in(A,B,C,D,E)     -> evalNestedMultipleDepbb1in(A,B,C,D,E)       [D >= 0
                                                                                                    && -1 + C + D >= 0
                                                                                                    && -1 + B + D >= 0
                                                                                                    && A + D >= 0
                                                                                                    && B + -1*C >= 0
                                                                                                    && 1 + A + -1*C >= 0
                                                                                                    && -1 + C >= 0
                                                                                                    && -2 + B + C >= 0
                                                                                                    && -1 + A + C >= 0
                                                                                                    && -1 + -1*A + C >= 0
                                                                                                    && -1 + B >= 0
                                                                                                    && -1 + A + B >= 0
                                                                                                    && -1 + -1*A + B >= 0
                                                                                                    && A >= 0
                                                                                                    && E >= 1 + D]
          evalNestedMultipleDepbb2in(A,B,C,D,E)     -> evalNestedMultipleDepbb3in(C,B,C,D,E)       [D >= 0
                                                                                                    && -1 + C + D >= 0
                                                                                                    && -1 + B + D >= 0
                                                                                                    && A + D >= 0
                                                                                                    && B + -1*C >= 0
                                                                                                    && 1 + A + -1*C >= 0
                                                                                                    && -1 + C >= 0
                                                                                                    && -2 + B + C >= 0
                                                                                                    && -1 + A + C >= 0
                                                                                                    && -1 + -1*A + C >= 0
                                                                                                    && -1 + B >= 0
                                                                                                    && -1 + A + B >= 0
                                                                                                    && -1 + -1*A + B >= 0
                                                                                                    && A >= 0
                                                                                                    && D >= E]
          evalNestedMultipleDepbb1in(A,B,C,D,E)     -> evalNestedMultipleDepbb2in(A,B,C,1 + D,E)   [-1 + E >= 0
                                                                                                    && -1 + D + E >= 0
                                                                                                    && -1 + -1*D + E >= 0
                                                                                                    && -2 + C + E >= 0
                                                                                                    && -2 + B + E >= 0
                                                                                                    && -1 + A + E >= 0
                                                                                                    && D >= 0
                                                                                                    && -1 + C + D >= 0
                                                                                                    && -1 + B + D >= 0
                                                                                                    && A + D >= 0
                                                                                                    && B + -1*C >= 0
                                                                                                    && 1 + A + -1*C >= 0
                                                                                                    && -1 + C >= 0
                                                                                                    && -2 + B + C >= 0
                                                                                                    && -1 + A + C >= 0
                                                                                                    && -1 + -1*A + C >= 0
                                                                                                    && -1 + B >= 0
                                                                                                    && -1 + A + B >= 0
                                                                                                    && -1 + -1*A + B >= 0
                                                                                                    && A >= 0]
          evalNestedMultipleDepreturnin(A,B,C,D,E)  -> evalNestedMultipleDepstop(A,B,C,D,E)        [A + -1*B >= 0
                                                                                                    && A >= 0]
        Signature:
          {(evalNestedMultipleDepbb1in,5)
          ;(evalNestedMultipleDepbb2in,5)
          ;(evalNestedMultipleDepbb3in,5)
          ;(evalNestedMultipleDepbbin,5)
          ;(evalNestedMultipleDepentryin,5)
          ;(evalNestedMultipleDepreturnin,5)
          ;(evalNestedMultipleDepstart,5)
          ;(evalNestedMultipleDepstop,5)}
        Rule Graph:
          [0->{1},1->{2,3},2->{4},3->{8},4->{5,6},5->{7},6->{2,3},7->{5,6},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: [2,4,6]
             |
             `- p:[5,7] c: [5,7]
* Step 3: CloseWith YES
    + Considered Problem:
        (Rules:
          evalNestedMultipleDepstart(A,B,C,D,E)     -> evalNestedMultipleDepentryin(A,B,C,D,E)     True
          evalNestedMultipleDepentryin(A,B,C,D,E)   -> evalNestedMultipleDepbb3in(0,B,C,D,E)       True
          evalNestedMultipleDepbb3in(A,B,C,D,E)     -> evalNestedMultipleDepbbin(A,B,C,D,E)        [A >= 0
                                                                                                    && B >= 1 + A]
          evalNestedMultipleDepbb3in(A,B,C,D,E)     -> evalNestedMultipleDepreturnin(A,B,C,D,E)    [A >= 0 && A >= B]
          evalNestedMultipleDepbbin(A,B,C,D,E)      -> evalNestedMultipleDepbb2in(A,B,1 + A,0,E)   [-1 + B >= 0
                                                                                                    && -1 + A + B >= 0
                                                                                                    && -1 + -1*A + B >= 0
                                                                                                    && A >= 0]
          evalNestedMultipleDepbb2in(A,B,C,D,E)     -> evalNestedMultipleDepbb1in(A,B,C,D,E)       [D >= 0
                                                                                                    && -1 + C + D >= 0
                                                                                                    && -1 + B + D >= 0
                                                                                                    && A + D >= 0
                                                                                                    && B + -1*C >= 0
                                                                                                    && 1 + A + -1*C >= 0
                                                                                                    && -1 + C >= 0
                                                                                                    && -2 + B + C >= 0
                                                                                                    && -1 + A + C >= 0
                                                                                                    && -1 + -1*A + C >= 0
                                                                                                    && -1 + B >= 0
                                                                                                    && -1 + A + B >= 0
                                                                                                    && -1 + -1*A + B >= 0
                                                                                                    && A >= 0
                                                                                                    && E >= 1 + D]
          evalNestedMultipleDepbb2in(A,B,C,D,E)     -> evalNestedMultipleDepbb3in(C,B,C,D,E)       [D >= 0
                                                                                                    && -1 + C + D >= 0
                                                                                                    && -1 + B + D >= 0
                                                                                                    && A + D >= 0
                                                                                                    && B + -1*C >= 0
                                                                                                    && 1 + A + -1*C >= 0
                                                                                                    && -1 + C >= 0
                                                                                                    && -2 + B + C >= 0
                                                                                                    && -1 + A + C >= 0
                                                                                                    && -1 + -1*A + C >= 0
                                                                                                    && -1 + B >= 0
                                                                                                    && -1 + A + B >= 0
                                                                                                    && -1 + -1*A + B >= 0
                                                                                                    && A >= 0
                                                                                                    && D >= E]
          evalNestedMultipleDepbb1in(A,B,C,D,E)     -> evalNestedMultipleDepbb2in(A,B,C,1 + D,E)   [-1 + E >= 0
                                                                                                    && -1 + D + E >= 0
                                                                                                    && -1 + -1*D + E >= 0
                                                                                                    && -2 + C + E >= 0
                                                                                                    && -2 + B + E >= 0
                                                                                                    && -1 + A + E >= 0
                                                                                                    && D >= 0
                                                                                                    && -1 + C + D >= 0
                                                                                                    && -1 + B + D >= 0
                                                                                                    && A + D >= 0
                                                                                                    && B + -1*C >= 0
                                                                                                    && 1 + A + -1*C >= 0
                                                                                                    && -1 + C >= 0
                                                                                                    && -2 + B + C >= 0
                                                                                                    && -1 + A + C >= 0
                                                                                                    && -1 + -1*A + C >= 0
                                                                                                    && -1 + B >= 0
                                                                                                    && -1 + A + B >= 0
                                                                                                    && -1 + -1*A + B >= 0
                                                                                                    && A >= 0]
          evalNestedMultipleDepreturnin(A,B,C,D,E)  -> evalNestedMultipleDepstop(A,B,C,D,E)        [A + -1*B >= 0
                                                                                                    && A >= 0]
        Signature:
          {(evalNestedMultipleDepbb1in,5)
          ;(evalNestedMultipleDepbb2in,5)
          ;(evalNestedMultipleDepbb3in,5)
          ;(evalNestedMultipleDepbbin,5)
          ;(evalNestedMultipleDepentryin,5)
          ;(evalNestedMultipleDepreturnin,5)
          ;(evalNestedMultipleDepstart,5)
          ;(evalNestedMultipleDepstop,5)}
        Rule Graph:
          [0->{1},1->{2,3},2->{4},3->{8},4->{5,6},5->{7},6->{2,3},7->{5,6},8->{}]
        ,We construct a looptree:
          P: [0,1,2,3,4,5,6,7,8]
          |
          `- p:[2,6,4,7,5] c: [2,4,6]
             |
             `- p:[5,7] c: [5,7])
    + Applied Processor:
        CloseWith True
    + Details:
        ()

YES