YES
* Step 1: TrivialSCCs YES
    + Considered Problem:
        Rules:
          0.  evalEx1start(A,B,C,D)    -> evalEx1entryin(A,B,C,D)    True                                                             (1,1)
          1.  evalEx1entryin(A,B,C,D)  -> evalEx1bb6in(0,A,C,D)      True                                                             (?,1)
          2.  evalEx1bb6in(A,B,C,D)    -> evalEx1bbin(A,B,C,D)       [A >= 0 && B >= 1 + A]                                           (?,1)
          3.  evalEx1bb6in(A,B,C,D)    -> evalEx1returnin(A,B,C,D)   [A >= 0 && A >= B]                                               (?,1)
          4.  evalEx1bbin(A,B,C,D)     -> evalEx1bb4in(A,B,1 + A,B)  [-1 + B >= 0 && -1 + A + B >= 0 && -1 + -1*A + B >= 0 && A >= 0] (?,1)
          5.  evalEx1bb4in(A,B,C,D)    -> evalEx1bb1in(A,B,C,D)      [B + -1*D >= 0                                                   (?,1)
                                                                      && -1 + D >= 0                                                       
                                                                      && -2 + C + D >= 0                                                   
                                                                      && -1*C + D >= 0                                                     
                                                                      && -2 + B + D >= 0                                                   
                                                                      && -1 + A + D >= 0                                                   
                                                                      && -1 + -1*A + D >= 0                                                
                                                                      && B + -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 >= 1 + C]                                                       
          6.  evalEx1bb4in(A,B,C,D)    -> evalEx1bb5in(A,B,C,D)      [B + -1*D >= 0                                                   (?,1)
                                                                      && -1 + D >= 0                                                       
                                                                      && -2 + C + D >= 0                                                   
                                                                      && -1*C + D >= 0                                                     
                                                                      && -2 + B + D >= 0                                                   
                                                                      && -1 + A + D >= 0                                                   
                                                                      && -1 + -1*A + D >= 0                                                
                                                                      && B + -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                                                            
                                                                      && C >= D]                                                           
          7.  evalEx1bb1in(A,B,C,D)    -> evalEx1bb4in(A,B,C,-1 + D) [B + -1*D >= 0                                                   (?,1)
                                                                      && -2 + D >= 0                                                       
                                                                      && -3 + C + D >= 0                                                   
                                                                      && -1 + -1*C + D >= 0                                                
                                                                      && -4 + B + D >= 0                                                   
                                                                      && -2 + A + D >= 0                                                   
                                                                      && -2 + -1*A + D >= 0                                                
                                                                      && -1 + B + -1*C >= 0                                                
                                                                      && -1 + C >= 0                                                       
                                                                      && -3 + B + C >= 0                                                   
                                                                      && -1 + A + C >= 0                                                   
                                                                      && -1 + -1*A + C >= 0                                                
                                                                      && -2 + B >= 0                                                       
                                                                      && -2 + A + B >= 0                                                   
                                                                      && -2 + -1*A + B >= 0                                                
                                                                      && A >= 0                                                            
                                                                      && 0 >= 1 + E]                                                       
          8.  evalEx1bb1in(A,B,C,D)    -> evalEx1bb4in(A,B,C,-1 + D) [B + -1*D >= 0                                                   (?,1)
                                                                      && -2 + D >= 0                                                       
                                                                      && -3 + C + D >= 0                                                   
                                                                      && -1 + -1*C + D >= 0                                                
                                                                      && -4 + B + D >= 0                                                   
                                                                      && -2 + A + D >= 0                                                   
                                                                      && -2 + -1*A + D >= 0                                                
                                                                      && -1 + B + -1*C >= 0                                                
                                                                      && -1 + C >= 0                                                       
                                                                      && -3 + B + C >= 0                                                   
                                                                      && -1 + A + C >= 0                                                   
                                                                      && -1 + -1*A + C >= 0                                                
                                                                      && -2 + B >= 0                                                       
                                                                      && -2 + A + B >= 0                                                   
                                                                      && -2 + -1*A + B >= 0                                                
                                                                      && A >= 0                                                            
                                                                      && E >= 1]                                                           
          9.  evalEx1bb1in(A,B,C,D)    -> evalEx1bb4in(A,B,1 + C,D)  [B + -1*D >= 0                                                   (?,1)
                                                                      && -2 + D >= 0                                                       
                                                                      && -3 + C + D >= 0                                                   
                                                                      && -1 + -1*C + D >= 0                                                
                                                                      && -4 + B + D >= 0                                                   
                                                                      && -2 + A + D >= 0                                                   
                                                                      && -2 + -1*A + D >= 0                                                
                                                                      && -1 + B + -1*C >= 0                                                
                                                                      && -1 + C >= 0                                                       
                                                                      && -3 + B + C >= 0                                                   
                                                                      && -1 + A + C >= 0                                                   
                                                                      && -1 + -1*A + C >= 0                                                
                                                                      && -2 + B >= 0                                                       
                                                                      && -2 + A + B >= 0                                                   
                                                                      && -2 + -1*A + B >= 0                                                
                                                                      && A >= 0]                                                           
          10. evalEx1bb5in(A,B,C,D)    -> evalEx1bb6in(1 + A,D,C,D)  [C + -1*D >= 0                                                   (?,1)
                                                                      && B + -1*D >= 0                                                     
                                                                      && -1 + D >= 0                                                       
                                                                      && -2 + C + D >= 0                                                   
                                                                      && -1*C + D >= 0                                                     
                                                                      && -2 + B + D >= 0                                                   
                                                                      && -1 + A + D >= 0                                                   
                                                                      && -1 + -1*A + D >= 0                                                
                                                                      && B + -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]                                                           
          11. evalEx1returnin(A,B,C,D) -> evalEx1stop(A,B,C,D)       [A + -1*B >= 0 && A >= 0]                                        (?,1)
        Signature:
          {(evalEx1bb1in,4)
          ;(evalEx1bb4in,4)
          ;(evalEx1bb5in,4)
          ;(evalEx1bb6in,4)
          ;(evalEx1bbin,4)
          ;(evalEx1entryin,4)
          ;(evalEx1returnin,4)
          ;(evalEx1start,4)
          ;(evalEx1stop,4)}
        Flow Graph:
          [0->{1},1->{2,3},2->{4},3->{11},4->{5,6},5->{7,8,9},6->{10},7->{5,6},8->{5,6},9->{5,6},10->{2,3},11->{}]
        
    + Applied Processor:
        TrivialSCCs
    + Details:
        All trivial SCCs of the transition graph admit timebound 1.
* Step 2: Looptree YES
    + Considered Problem:
        Rules:
          0.  evalEx1start(A,B,C,D)    -> evalEx1entryin(A,B,C,D)    True                                                             (1,1)
          1.  evalEx1entryin(A,B,C,D)  -> evalEx1bb6in(0,A,C,D)      True                                                             (1,1)
          2.  evalEx1bb6in(A,B,C,D)    -> evalEx1bbin(A,B,C,D)       [A >= 0 && B >= 1 + A]                                           (?,1)
          3.  evalEx1bb6in(A,B,C,D)    -> evalEx1returnin(A,B,C,D)   [A >= 0 && A >= B]                                               (1,1)
          4.  evalEx1bbin(A,B,C,D)     -> evalEx1bb4in(A,B,1 + A,B)  [-1 + B >= 0 && -1 + A + B >= 0 && -1 + -1*A + B >= 0 && A >= 0] (?,1)
          5.  evalEx1bb4in(A,B,C,D)    -> evalEx1bb1in(A,B,C,D)      [B + -1*D >= 0                                                   (?,1)
                                                                      && -1 + D >= 0                                                       
                                                                      && -2 + C + D >= 0                                                   
                                                                      && -1*C + D >= 0                                                     
                                                                      && -2 + B + D >= 0                                                   
                                                                      && -1 + A + D >= 0                                                   
                                                                      && -1 + -1*A + D >= 0                                                
                                                                      && B + -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 >= 1 + C]                                                       
          6.  evalEx1bb4in(A,B,C,D)    -> evalEx1bb5in(A,B,C,D)      [B + -1*D >= 0                                                   (?,1)
                                                                      && -1 + D >= 0                                                       
                                                                      && -2 + C + D >= 0                                                   
                                                                      && -1*C + D >= 0                                                     
                                                                      && -2 + B + D >= 0                                                   
                                                                      && -1 + A + D >= 0                                                   
                                                                      && -1 + -1*A + D >= 0                                                
                                                                      && B + -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                                                            
                                                                      && C >= D]                                                           
          7.  evalEx1bb1in(A,B,C,D)    -> evalEx1bb4in(A,B,C,-1 + D) [B + -1*D >= 0                                                   (?,1)
                                                                      && -2 + D >= 0                                                       
                                                                      && -3 + C + D >= 0                                                   
                                                                      && -1 + -1*C + D >= 0                                                
                                                                      && -4 + B + D >= 0                                                   
                                                                      && -2 + A + D >= 0                                                   
                                                                      && -2 + -1*A + D >= 0                                                
                                                                      && -1 + B + -1*C >= 0                                                
                                                                      && -1 + C >= 0                                                       
                                                                      && -3 + B + C >= 0                                                   
                                                                      && -1 + A + C >= 0                                                   
                                                                      && -1 + -1*A + C >= 0                                                
                                                                      && -2 + B >= 0                                                       
                                                                      && -2 + A + B >= 0                                                   
                                                                      && -2 + -1*A + B >= 0                                                
                                                                      && A >= 0                                                            
                                                                      && 0 >= 1 + E]                                                       
          8.  evalEx1bb1in(A,B,C,D)    -> evalEx1bb4in(A,B,C,-1 + D) [B + -1*D >= 0                                                   (?,1)
                                                                      && -2 + D >= 0                                                       
                                                                      && -3 + C + D >= 0                                                   
                                                                      && -1 + -1*C + D >= 0                                                
                                                                      && -4 + B + D >= 0                                                   
                                                                      && -2 + A + D >= 0                                                   
                                                                      && -2 + -1*A + D >= 0                                                
                                                                      && -1 + B + -1*C >= 0                                                
                                                                      && -1 + C >= 0                                                       
                                                                      && -3 + B + C >= 0                                                   
                                                                      && -1 + A + C >= 0                                                   
                                                                      && -1 + -1*A + C >= 0                                                
                                                                      && -2 + B >= 0                                                       
                                                                      && -2 + A + B >= 0                                                   
                                                                      && -2 + -1*A + B >= 0                                                
                                                                      && A >= 0                                                            
                                                                      && E >= 1]                                                           
          9.  evalEx1bb1in(A,B,C,D)    -> evalEx1bb4in(A,B,1 + C,D)  [B + -1*D >= 0                                                   (?,1)
                                                                      && -2 + D >= 0                                                       
                                                                      && -3 + C + D >= 0                                                   
                                                                      && -1 + -1*C + D >= 0                                                
                                                                      && -4 + B + D >= 0                                                   
                                                                      && -2 + A + D >= 0                                                   
                                                                      && -2 + -1*A + D >= 0                                                
                                                                      && -1 + B + -1*C >= 0                                                
                                                                      && -1 + C >= 0                                                       
                                                                      && -3 + B + C >= 0                                                   
                                                                      && -1 + A + C >= 0                                                   
                                                                      && -1 + -1*A + C >= 0                                                
                                                                      && -2 + B >= 0                                                       
                                                                      && -2 + A + B >= 0                                                   
                                                                      && -2 + -1*A + B >= 0                                                
                                                                      && A >= 0]                                                           
          10. evalEx1bb5in(A,B,C,D)    -> evalEx1bb6in(1 + A,D,C,D)  [C + -1*D >= 0                                                   (?,1)
                                                                      && B + -1*D >= 0                                                     
                                                                      && -1 + D >= 0                                                       
                                                                      && -2 + C + D >= 0                                                   
                                                                      && -1*C + D >= 0                                                     
                                                                      && -2 + B + D >= 0                                                   
                                                                      && -1 + A + D >= 0                                                   
                                                                      && -1 + -1*A + D >= 0                                                
                                                                      && B + -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]                                                           
          11. evalEx1returnin(A,B,C,D) -> evalEx1stop(A,B,C,D)       [A + -1*B >= 0 && A >= 0]                                        (1,1)
        Signature:
          {(evalEx1bb1in,4)
          ;(evalEx1bb4in,4)
          ;(evalEx1bb5in,4)
          ;(evalEx1bb6in,4)
          ;(evalEx1bbin,4)
          ;(evalEx1entryin,4)
          ;(evalEx1returnin,4)
          ;(evalEx1start,4)
          ;(evalEx1stop,4)}
        Flow Graph:
          [0->{1},1->{2,3},2->{4},3->{11},4->{5,6},5->{7,8,9},6->{10},7->{5,6},8->{5,6},9->{5,6},10->{2,3},11->{}]
        
    + Applied Processor:
        Looptree
    + Details:
        We construct a looptree:
          P: [0,1,2,3,4,5,6,7,8,9,10,11]
          |
          `- p:[2,10,6,4,7,5,8,9] c: [10]
             |
             `- p:[5,7,8,9] c: [9]
                |
                `- p:[5,7,8] c: [8]
                   |
                   `- p:[5,7] c: [7]

YES