YES
* Step 1: TrivialSCCs YES
    + Considered Problem:
        Rules:
          0.  evalfstart(A,B,C,D)    -> evalfentryin(A,B,C,D)               True                                                                                                     (1,1)
          1.  evalfentryin(A,B,C,D)  -> evalfbb5in(B,B,C,D)                 True                                                                                                     (?,1)
          2.  evalfbb5in(A,B,C,D)    -> evalfbbin(A,B,C,D)                  [B >= 2]                                                                                                 (?,1)
          3.  evalfbb5in(A,B,C,D)    -> evalfreturnin(A,B,C,D)              [1 >= B]                                                                                                 (?,1)
          4.  evalfbbin(A,B,C,D)     -> evalfbb2in(A,B,-1 + B,-1 + A + B)   [-2 + B >= 0]                                                                                            (?,1)
          5.  evalfbb2in(A,B,C,D)    -> evalfbb4in(A,B,C,D)                 [-1 + B + -1*C >= 0 && -1 + C >= 0 && -3 + B + C >= 0 && 1 + -1*B + C >= 0 && -2 + B >= 0 && C >= 1 + D] (?,1)
          6.  evalfbb2in(A,B,C,D)    -> evalfbb3in(A,B,C,D)                 [-1 + B + -1*C >= 0 && -1 + C >= 0 && -3 + B + C >= 0 && 1 + -1*B + C >= 0 && -2 + B >= 0 && D >= C]     (?,1)
          7.  evalfbb3in(A,B,C,D)    -> evalfbb1in(A,B,C,D)                 [-1 + D >= 0                                                                                             (?,1)
                                                                             && -2 + C + D >= 0                                                                                           
                                                                             && -1*C + D >= 0                                                                                             
                                                                             && -3 + B + D >= 0                                                                                           
                                                                             && 1 + -1*B + D >= 0                                                                                         
                                                                             && -1 + B + -1*C >= 0                                                                                        
                                                                             && -1 + C >= 0                                                                                               
                                                                             && -3 + B + C >= 0                                                                                           
                                                                             && 1 + -1*B + C >= 0                                                                                         
                                                                             && -2 + B >= 0                                                                                               
                                                                             && 0 >= 1 + E]                                                                                               
          8.  evalfbb3in(A,B,C,D)    -> evalfbb1in(A,B,C,D)                 [-1 + D >= 0                                                                                             (?,1)
                                                                             && -2 + C + D >= 0                                                                                           
                                                                             && -1*C + D >= 0                                                                                             
                                                                             && -3 + B + D >= 0                                                                                           
                                                                             && 1 + -1*B + D >= 0                                                                                         
                                                                             && -1 + B + -1*C >= 0                                                                                        
                                                                             && -1 + C >= 0                                                                                               
                                                                             && -3 + B + C >= 0                                                                                           
                                                                             && 1 + -1*B + C >= 0                                                                                         
                                                                             && -2 + B >= 0                                                                                               
                                                                             && E >= 1]                                                                                                   
          9.  evalfbb3in(A,B,C,D)    -> evalfbb4in(A,B,C,D)                 [-1 + D >= 0                                                                                             (?,1)
                                                                             && -2 + C + D >= 0                                                                                           
                                                                             && -1*C + D >= 0                                                                                             
                                                                             && -3 + B + D >= 0                                                                                           
                                                                             && 1 + -1*B + D >= 0                                                                                         
                                                                             && -1 + B + -1*C >= 0                                                                                        
                                                                             && -1 + C >= 0                                                                                               
                                                                             && -3 + B + C >= 0                                                                                           
                                                                             && 1 + -1*B + C >= 0                                                                                         
                                                                             && -2 + B >= 0]                                                                                              
          10. evalfbb1in(A,B,C,D)    -> evalfbb2in(A,B,C,-1 + D)            [-1 + D >= 0                                                                                             (?,1)
                                                                             && -2 + C + D >= 0                                                                                           
                                                                             && -1*C + D >= 0                                                                                             
                                                                             && -3 + B + D >= 0                                                                                           
                                                                             && 1 + -1*B + D >= 0                                                                                         
                                                                             && -1 + B + -1*C >= 0                                                                                        
                                                                             && -1 + C >= 0                                                                                               
                                                                             && -3 + B + C >= 0                                                                                           
                                                                             && 1 + -1*B + C >= 0                                                                                         
                                                                             && -2 + B >= 0]                                                                                              
          11. evalfbb4in(A,B,C,D)    -> evalfbb5in(1 + -1*C + D,-1 + C,C,D) [-1 + B + -1*C >= 0 && -1 + C >= 0 && -3 + B + C >= 0 && 1 + -1*B + C >= 0 && -2 + B >= 0]               (?,1)
          12. evalfreturnin(A,B,C,D) -> evalfstop(A,B,C,D)                  [1 + -1*B >= 0]                                                                                          (?,1)
        Signature:
          {(evalfbb1in,4)
          ;(evalfbb2in,4)
          ;(evalfbb3in,4)
          ;(evalfbb4in,4)
          ;(evalfbb5in,4)
          ;(evalfbbin,4)
          ;(evalfentryin,4)
          ;(evalfreturnin,4)
          ;(evalfstart,4)
          ;(evalfstop,4)}
        Flow Graph:
          [0->{1},1->{2,3},2->{4},3->{12},4->{5,6},5->{11},6->{7,8,9},7->{10},8->{10},9->{11},10->{5,6},11->{2,3}
          ,12->{}]
        
    + Applied Processor:
        TrivialSCCs
    + Details:
        All trivial SCCs of the transition graph admit timebound 1.
* Step 2: Looptree YES
    + Considered Problem:
        Rules:
          0.  evalfstart(A,B,C,D)    -> evalfentryin(A,B,C,D)               True                                                                                                     (1,1)
          1.  evalfentryin(A,B,C,D)  -> evalfbb5in(B,B,C,D)                 True                                                                                                     (1,1)
          2.  evalfbb5in(A,B,C,D)    -> evalfbbin(A,B,C,D)                  [B >= 2]                                                                                                 (?,1)
          3.  evalfbb5in(A,B,C,D)    -> evalfreturnin(A,B,C,D)              [1 >= B]                                                                                                 (1,1)
          4.  evalfbbin(A,B,C,D)     -> evalfbb2in(A,B,-1 + B,-1 + A + B)   [-2 + B >= 0]                                                                                            (?,1)
          5.  evalfbb2in(A,B,C,D)    -> evalfbb4in(A,B,C,D)                 [-1 + B + -1*C >= 0 && -1 + C >= 0 && -3 + B + C >= 0 && 1 + -1*B + C >= 0 && -2 + B >= 0 && C >= 1 + D] (?,1)
          6.  evalfbb2in(A,B,C,D)    -> evalfbb3in(A,B,C,D)                 [-1 + B + -1*C >= 0 && -1 + C >= 0 && -3 + B + C >= 0 && 1 + -1*B + C >= 0 && -2 + B >= 0 && D >= C]     (?,1)
          7.  evalfbb3in(A,B,C,D)    -> evalfbb1in(A,B,C,D)                 [-1 + D >= 0                                                                                             (?,1)
                                                                             && -2 + C + D >= 0                                                                                           
                                                                             && -1*C + D >= 0                                                                                             
                                                                             && -3 + B + D >= 0                                                                                           
                                                                             && 1 + -1*B + D >= 0                                                                                         
                                                                             && -1 + B + -1*C >= 0                                                                                        
                                                                             && -1 + C >= 0                                                                                               
                                                                             && -3 + B + C >= 0                                                                                           
                                                                             && 1 + -1*B + C >= 0                                                                                         
                                                                             && -2 + B >= 0                                                                                               
                                                                             && 0 >= 1 + E]                                                                                               
          8.  evalfbb3in(A,B,C,D)    -> evalfbb1in(A,B,C,D)                 [-1 + D >= 0                                                                                             (?,1)
                                                                             && -2 + C + D >= 0                                                                                           
                                                                             && -1*C + D >= 0                                                                                             
                                                                             && -3 + B + D >= 0                                                                                           
                                                                             && 1 + -1*B + D >= 0                                                                                         
                                                                             && -1 + B + -1*C >= 0                                                                                        
                                                                             && -1 + C >= 0                                                                                               
                                                                             && -3 + B + C >= 0                                                                                           
                                                                             && 1 + -1*B + C >= 0                                                                                         
                                                                             && -2 + B >= 0                                                                                               
                                                                             && E >= 1]                                                                                                   
          9.  evalfbb3in(A,B,C,D)    -> evalfbb4in(A,B,C,D)                 [-1 + D >= 0                                                                                             (?,1)
                                                                             && -2 + C + D >= 0                                                                                           
                                                                             && -1*C + D >= 0                                                                                             
                                                                             && -3 + B + D >= 0                                                                                           
                                                                             && 1 + -1*B + D >= 0                                                                                         
                                                                             && -1 + B + -1*C >= 0                                                                                        
                                                                             && -1 + C >= 0                                                                                               
                                                                             && -3 + B + C >= 0                                                                                           
                                                                             && 1 + -1*B + C >= 0                                                                                         
                                                                             && -2 + B >= 0]                                                                                              
          10. evalfbb1in(A,B,C,D)    -> evalfbb2in(A,B,C,-1 + D)            [-1 + D >= 0                                                                                             (?,1)
                                                                             && -2 + C + D >= 0                                                                                           
                                                                             && -1*C + D >= 0                                                                                             
                                                                             && -3 + B + D >= 0                                                                                           
                                                                             && 1 + -1*B + D >= 0                                                                                         
                                                                             && -1 + B + -1*C >= 0                                                                                        
                                                                             && -1 + C >= 0                                                                                               
                                                                             && -3 + B + C >= 0                                                                                           
                                                                             && 1 + -1*B + C >= 0                                                                                         
                                                                             && -2 + B >= 0]                                                                                              
          11. evalfbb4in(A,B,C,D)    -> evalfbb5in(1 + -1*C + D,-1 + C,C,D) [-1 + B + -1*C >= 0 && -1 + C >= 0 && -3 + B + C >= 0 && 1 + -1*B + C >= 0 && -2 + B >= 0]               (?,1)
          12. evalfreturnin(A,B,C,D) -> evalfstop(A,B,C,D)                  [1 + -1*B >= 0]                                                                                          (1,1)
        Signature:
          {(evalfbb1in,4)
          ;(evalfbb2in,4)
          ;(evalfbb3in,4)
          ;(evalfbb4in,4)
          ;(evalfbb5in,4)
          ;(evalfbbin,4)
          ;(evalfentryin,4)
          ;(evalfreturnin,4)
          ;(evalfstart,4)
          ;(evalfstop,4)}
        Flow Graph:
          [0->{1},1->{2,3},2->{4},3->{12},4->{5,6},5->{11},6->{7,8,9},7->{10},8->{10},9->{11},10->{5,6},11->{2,3}
          ,12->{}]
        
    + Applied Processor:
        Looptree
    + Details:
        We construct a looptree:
          P: [0,1,2,3,4,5,6,7,8,9,10,11,12]
          |
          `- p:[2,11,5,4,10,7,6,8,9] c: [11]
             |
             `- p:[6,10,7,8] c: [10]

YES