YES
* Step 1: UnsatPaths YES
    + Considered Problem:
        Rules:
          0. start(A,B,C,D,E,F,G,H)  -> stop(A,B,C,D,E,F,G,H)         [A + -1*H >= 0         (?,1)
                                                                       && -1*A + H >= 0           
                                                                       && F + -1*G >= 0           
                                                                       && -1*F + G >= 0           
                                                                       && D + -1*E >= 0           
                                                                       && -1*D + E >= 0           
                                                                       && B + -1*C >= 0           
                                                                       && -1*B + C >= 0           
                                                                       && 0 >= A                  
                                                                       && B = C                   
                                                                       && D = E                   
                                                                       && F = G                   
                                                                       && H = A]                  
          1. start(A,B,C,D,E,F,G,H)  -> stop(A,B,C,D,E,F,G,H)         [A + -1*H >= 0         (?,1)
                                                                       && -1*A + H >= 0           
                                                                       && F + -1*G >= 0           
                                                                       && -1*F + G >= 0           
                                                                       && D + -1*E >= 0           
                                                                       && -1*D + E >= 0           
                                                                       && B + -1*C >= 0           
                                                                       && -1*B + C >= 0           
                                                                       && 0 >= 1 + G              
                                                                       && B = C                   
                                                                       && D = E                   
                                                                       && F = G                   
                                                                       && H = A]                  
          2. start(A,B,C,D,E,F,G,H)  -> stop(A,0,C,F,E,F,G,H)         [A + -1*H >= 0         (?,1)
                                                                       && -1*A + H >= 0           
                                                                       && F + -1*G >= 0           
                                                                       && -1*F + G >= 0           
                                                                       && D + -1*E >= 0           
                                                                       && -1*D + E >= 0           
                                                                       && B + -1*C >= 0           
                                                                       && -1*B + C >= 0           
                                                                       && A >= 1                  
                                                                       && F = 0                   
                                                                       && B = C                   
                                                                       && D = E                   
                                                                       && G = 0                   
                                                                       && H = A]                  
          3. start(A,B,C,D,E,F,G,H)  -> lM1(A,1,C,-1 + F,E,F,G,H)     [A + -1*H >= 0         (?,1)
                                                                       && -1*A + H >= 0           
                                                                       && F + -1*G >= 0           
                                                                       && -1*F + G >= 0           
                                                                       && D + -1*E >= 0           
                                                                       && -1*D + E >= 0           
                                                                       && B + -1*C >= 0           
                                                                       && -1*B + C >= 0           
                                                                       && A >= 1                  
                                                                       && G >= 1                  
                                                                       && B = C                   
                                                                       && D = E                   
                                                                       && F = G                   
                                                                       && H = A]                  
          4. lM1(A,B,C,D,E,F,G,H)    -> stop(A,B,C,D,E,F,G,H)         [A + -1*H >= 0         (?,1)
                                                                       && -1 + H >= 0             
                                                                       && -2 + G + H >= 0         
                                                                       && -2 + F + H >= 0         
                                                                       && -1 + D + H >= 0         
                                                                       && -2 + B + H >= 0         
                                                                       && -1*B + H >= 0           
                                                                       && -2 + A + H >= 0         
                                                                       && -1*A + H >= 0           
                                                                       && F + -1*G >= 0           
                                                                       && -1 + G >= 0             
                                                                       && -2 + F + G >= 0         
                                                                       && -1*F + G >= 0           
                                                                       && -1 + D + G >= 0         
                                                                       && -1 + -1*D + G >= 0      
                                                                       && -2 + B + G >= 0         
                                                                       && -1*B + G >= 0           
                                                                       && -2 + A + G >= 0         
                                                                       && -1 + F >= 0             
                                                                       && -1 + D + F >= 0         
                                                                       && -1 + -1*D + F >= 0      
                                                                       && -2 + B + F >= 0         
                                                                       && -1*B + F >= 0           
                                                                       && -2 + A + F >= 0         
                                                                       && D >= 0                  
                                                                       && -1 + B + D >= 0         
                                                                       && -1 + A + D >= 0         
                                                                       && A + -1*B >= 0           
                                                                       && -1 + B >= 0             
                                                                       && -2 + A + B >= 0         
                                                                       && -1 + A >= 0             
                                                                       && A >= B                  
                                                                       && G >= B                  
                                                                       && B >= 1                  
                                                                       && D = 0                   
                                                                       && H = A                   
                                                                       && F = G]                  
          5. lM1(A,B,C,D,E,F,G,H)    -> lZZ1(A,0,C,D,E,F,G,H)         [A + -1*H >= 0         (?,1)
                                                                       && -1 + H >= 0             
                                                                       && -2 + G + H >= 0         
                                                                       && -2 + F + H >= 0         
                                                                       && -1 + D + H >= 0         
                                                                       && -2 + B + H >= 0         
                                                                       && -1*B + H >= 0           
                                                                       && -2 + A + H >= 0         
                                                                       && -1*A + H >= 0           
                                                                       && F + -1*G >= 0           
                                                                       && -1 + G >= 0             
                                                                       && -2 + F + G >= 0         
                                                                       && -1*F + G >= 0           
                                                                       && -1 + D + G >= 0         
                                                                       && -1 + -1*D + G >= 0      
                                                                       && -2 + B + G >= 0         
                                                                       && -1*B + G >= 0           
                                                                       && -2 + A + G >= 0         
                                                                       && -1 + F >= 0             
                                                                       && -1 + D + F >= 0         
                                                                       && -1 + -1*D + F >= 0      
                                                                       && -2 + B + F >= 0         
                                                                       && -1*B + F >= 0           
                                                                       && -2 + A + F >= 0         
                                                                       && D >= 0                  
                                                                       && -1 + B + D >= 0         
                                                                       && -1 + A + D >= 0         
                                                                       && A + -1*B >= 0           
                                                                       && -1 + B >= 0             
                                                                       && -2 + A + B >= 0         
                                                                       && -1 + A >= 0             
                                                                       && D >= 1                  
                                                                       && G >= A + D              
                                                                       && A >= 1                  
                                                                       && B = A                   
                                                                       && H = A                   
                                                                       && F = G]                  
          6. lM1(A,B,C,D,E,F,G,H)    -> lM1(A,1 + B,C,-1 + D,E,F,G,H) [A + -1*H >= 0         (?,1)
                                                                       && -1 + H >= 0             
                                                                       && -2 + G + H >= 0         
                                                                       && -2 + F + H >= 0         
                                                                       && -1 + D + H >= 0         
                                                                       && -2 + B + H >= 0         
                                                                       && -1*B + H >= 0           
                                                                       && -2 + A + H >= 0         
                                                                       && -1*A + H >= 0           
                                                                       && F + -1*G >= 0           
                                                                       && -1 + G >= 0             
                                                                       && -2 + F + G >= 0         
                                                                       && -1*F + G >= 0           
                                                                       && -1 + D + G >= 0         
                                                                       && -1 + -1*D + G >= 0      
                                                                       && -2 + B + G >= 0         
                                                                       && -1*B + G >= 0           
                                                                       && -2 + A + G >= 0         
                                                                       && -1 + F >= 0             
                                                                       && -1 + D + F >= 0         
                                                                       && -1 + -1*D + F >= 0      
                                                                       && -2 + B + F >= 0         
                                                                       && -1*B + F >= 0           
                                                                       && -2 + A + F >= 0         
                                                                       && D >= 0                  
                                                                       && -1 + B + D >= 0         
                                                                       && -1 + A + D >= 0         
                                                                       && A + -1*B >= 0           
                                                                       && -1 + B >= 0             
                                                                       && -2 + A + B >= 0         
                                                                       && -1 + A >= 0             
                                                                       && A >= 1 + B              
                                                                       && D >= 1                  
                                                                       && A >= B                  
                                                                       && G >= B + D              
                                                                       && B >= 1                  
                                                                       && H = A                   
                                                                       && F = G]                  
          7. lZZ1(A,B,C,D,E,F,G,H)   -> lM1(A,1 + B,C,-1 + D,E,F,G,H) [-1 + G + -1*H >= 0    (?,1)
                                                                       && -1 + F + -1*H >= 0      
                                                                       && A + -1*H >= 0           
                                                                       && -1 + H >= 0             
                                                                       && -3 + G + H >= 0         
                                                                       && -3 + F + H >= 0         
                                                                       && -2 + D + H >= 0         
                                                                       && -1 + B + H >= 0         
                                                                       && -1 + -1*B + H >= 0      
                                                                       && -2 + A + H >= 0         
                                                                       && -1*A + H >= 0           
                                                                       && F + -1*G >= 0           
                                                                       && -2 + G >= 0             
                                                                       && -4 + F + G >= 0         
                                                                       && -1*F + G >= 0           
                                                                       && -3 + D + G >= 0         
                                                                       && -1 + -1*D + G >= 0      
                                                                       && -2 + B + G >= 0         
                                                                       && -2 + -1*B + G >= 0      
                                                                       && -3 + A + G >= 0         
                                                                       && -1 + -1*A + G >= 0      
                                                                       && -2 + F >= 0             
                                                                       && -3 + D + F >= 0         
                                                                       && -1 + -1*D + F >= 0      
                                                                       && -2 + B + F >= 0         
                                                                       && -2 + -1*B + F >= 0      
                                                                       && -3 + A + F >= 0         
                                                                       && -1 + -1*A + F >= 0      
                                                                       && -1 + D >= 0             
                                                                       && -1 + B + D >= 0         
                                                                       && -1 + -1*B + D >= 0      
                                                                       && -2 + A + D >= 0         
                                                                       && -1*B >= 0               
                                                                       && -1 + A + -1*B >= 0      
                                                                       && B >= 0                  
                                                                       && -1 + A + B >= 0         
                                                                       && -1 + A >= 0             
                                                                       && A >= 1                  
                                                                       && D >= 1                  
                                                                       && G >= A + D              
                                                                       && A >= 2                  
                                                                       && B = 0                   
                                                                       && H = A                   
                                                                       && F = G]                  
          8. start0(A,B,C,D,E,F,G,H) -> start(A,C,C,E,E,G,G,A)        True                   (1,1)
        Signature:
          {(lM1,8);(lZZ1,8);(start,8);(start0,8);(stop,8)}
        Flow Graph:
          [0->{},1->{},2->{},3->{4,5,6},4->{},5->{7},6->{4,5,6},7->{4,5,6},8->{0,1,2,3}]
        
    + Applied Processor:
        UnsatPaths
    + Details:
        We remove following edges from the transition graph: [(7,5)]
* Step 2: FromIts YES
    + Considered Problem:
        Rules:
          0. start(A,B,C,D,E,F,G,H)  -> stop(A,B,C,D,E,F,G,H)         [A + -1*H >= 0         (?,1)
                                                                       && -1*A + H >= 0           
                                                                       && F + -1*G >= 0           
                                                                       && -1*F + G >= 0           
                                                                       && D + -1*E >= 0           
                                                                       && -1*D + E >= 0           
                                                                       && B + -1*C >= 0           
                                                                       && -1*B + C >= 0           
                                                                       && 0 >= A                  
                                                                       && B = C                   
                                                                       && D = E                   
                                                                       && F = G                   
                                                                       && H = A]                  
          1. start(A,B,C,D,E,F,G,H)  -> stop(A,B,C,D,E,F,G,H)         [A + -1*H >= 0         (?,1)
                                                                       && -1*A + H >= 0           
                                                                       && F + -1*G >= 0           
                                                                       && -1*F + G >= 0           
                                                                       && D + -1*E >= 0           
                                                                       && -1*D + E >= 0           
                                                                       && B + -1*C >= 0           
                                                                       && -1*B + C >= 0           
                                                                       && 0 >= 1 + G              
                                                                       && B = C                   
                                                                       && D = E                   
                                                                       && F = G                   
                                                                       && H = A]                  
          2. start(A,B,C,D,E,F,G,H)  -> stop(A,0,C,F,E,F,G,H)         [A + -1*H >= 0         (?,1)
                                                                       && -1*A + H >= 0           
                                                                       && F + -1*G >= 0           
                                                                       && -1*F + G >= 0           
                                                                       && D + -1*E >= 0           
                                                                       && -1*D + E >= 0           
                                                                       && B + -1*C >= 0           
                                                                       && -1*B + C >= 0           
                                                                       && A >= 1                  
                                                                       && F = 0                   
                                                                       && B = C                   
                                                                       && D = E                   
                                                                       && G = 0                   
                                                                       && H = A]                  
          3. start(A,B,C,D,E,F,G,H)  -> lM1(A,1,C,-1 + F,E,F,G,H)     [A + -1*H >= 0         (?,1)
                                                                       && -1*A + H >= 0           
                                                                       && F + -1*G >= 0           
                                                                       && -1*F + G >= 0           
                                                                       && D + -1*E >= 0           
                                                                       && -1*D + E >= 0           
                                                                       && B + -1*C >= 0           
                                                                       && -1*B + C >= 0           
                                                                       && A >= 1                  
                                                                       && G >= 1                  
                                                                       && B = C                   
                                                                       && D = E                   
                                                                       && F = G                   
                                                                       && H = A]                  
          4. lM1(A,B,C,D,E,F,G,H)    -> stop(A,B,C,D,E,F,G,H)         [A + -1*H >= 0         (?,1)
                                                                       && -1 + H >= 0             
                                                                       && -2 + G + H >= 0         
                                                                       && -2 + F + H >= 0         
                                                                       && -1 + D + H >= 0         
                                                                       && -2 + B + H >= 0         
                                                                       && -1*B + H >= 0           
                                                                       && -2 + A + H >= 0         
                                                                       && -1*A + H >= 0           
                                                                       && F + -1*G >= 0           
                                                                       && -1 + G >= 0             
                                                                       && -2 + F + G >= 0         
                                                                       && -1*F + G >= 0           
                                                                       && -1 + D + G >= 0         
                                                                       && -1 + -1*D + G >= 0      
                                                                       && -2 + B + G >= 0         
                                                                       && -1*B + G >= 0           
                                                                       && -2 + A + G >= 0         
                                                                       && -1 + F >= 0             
                                                                       && -1 + D + F >= 0         
                                                                       && -1 + -1*D + F >= 0      
                                                                       && -2 + B + F >= 0         
                                                                       && -1*B + F >= 0           
                                                                       && -2 + A + F >= 0         
                                                                       && D >= 0                  
                                                                       && -1 + B + D >= 0         
                                                                       && -1 + A + D >= 0         
                                                                       && A + -1*B >= 0           
                                                                       && -1 + B >= 0             
                                                                       && -2 + A + B >= 0         
                                                                       && -1 + A >= 0             
                                                                       && A >= B                  
                                                                       && G >= B                  
                                                                       && B >= 1                  
                                                                       && D = 0                   
                                                                       && H = A                   
                                                                       && F = G]                  
          5. lM1(A,B,C,D,E,F,G,H)    -> lZZ1(A,0,C,D,E,F,G,H)         [A + -1*H >= 0         (?,1)
                                                                       && -1 + H >= 0             
                                                                       && -2 + G + H >= 0         
                                                                       && -2 + F + H >= 0         
                                                                       && -1 + D + H >= 0         
                                                                       && -2 + B + H >= 0         
                                                                       && -1*B + H >= 0           
                                                                       && -2 + A + H >= 0         
                                                                       && -1*A + H >= 0           
                                                                       && F + -1*G >= 0           
                                                                       && -1 + G >= 0             
                                                                       && -2 + F + G >= 0         
                                                                       && -1*F + G >= 0           
                                                                       && -1 + D + G >= 0         
                                                                       && -1 + -1*D + G >= 0      
                                                                       && -2 + B + G >= 0         
                                                                       && -1*B + G >= 0           
                                                                       && -2 + A + G >= 0         
                                                                       && -1 + F >= 0             
                                                                       && -1 + D + F >= 0         
                                                                       && -1 + -1*D + F >= 0      
                                                                       && -2 + B + F >= 0         
                                                                       && -1*B + F >= 0           
                                                                       && -2 + A + F >= 0         
                                                                       && D >= 0                  
                                                                       && -1 + B + D >= 0         
                                                                       && -1 + A + D >= 0         
                                                                       && A + -1*B >= 0           
                                                                       && -1 + B >= 0             
                                                                       && -2 + A + B >= 0         
                                                                       && -1 + A >= 0             
                                                                       && D >= 1                  
                                                                       && G >= A + D              
                                                                       && A >= 1                  
                                                                       && B = A                   
                                                                       && H = A                   
                                                                       && F = G]                  
          6. lM1(A,B,C,D,E,F,G,H)    -> lM1(A,1 + B,C,-1 + D,E,F,G,H) [A + -1*H >= 0         (?,1)
                                                                       && -1 + H >= 0             
                                                                       && -2 + G + H >= 0         
                                                                       && -2 + F + H >= 0         
                                                                       && -1 + D + H >= 0         
                                                                       && -2 + B + H >= 0         
                                                                       && -1*B + H >= 0           
                                                                       && -2 + A + H >= 0         
                                                                       && -1*A + H >= 0           
                                                                       && F + -1*G >= 0           
                                                                       && -1 + G >= 0             
                                                                       && -2 + F + G >= 0         
                                                                       && -1*F + G >= 0           
                                                                       && -1 + D + G >= 0         
                                                                       && -1 + -1*D + G >= 0      
                                                                       && -2 + B + G >= 0         
                                                                       && -1*B + G >= 0           
                                                                       && -2 + A + G >= 0         
                                                                       && -1 + F >= 0             
                                                                       && -1 + D + F >= 0         
                                                                       && -1 + -1*D + F >= 0      
                                                                       && -2 + B + F >= 0         
                                                                       && -1*B + F >= 0           
                                                                       && -2 + A + F >= 0         
                                                                       && D >= 0                  
                                                                       && -1 + B + D >= 0         
                                                                       && -1 + A + D >= 0         
                                                                       && A + -1*B >= 0           
                                                                       && -1 + B >= 0             
                                                                       && -2 + A + B >= 0         
                                                                       && -1 + A >= 0             
                                                                       && A >= 1 + B              
                                                                       && D >= 1                  
                                                                       && A >= B                  
                                                                       && G >= B + D              
                                                                       && B >= 1                  
                                                                       && H = A                   
                                                                       && F = G]                  
          7. lZZ1(A,B,C,D,E,F,G,H)   -> lM1(A,1 + B,C,-1 + D,E,F,G,H) [-1 + G + -1*H >= 0    (?,1)
                                                                       && -1 + F + -1*H >= 0      
                                                                       && A + -1*H >= 0           
                                                                       && -1 + H >= 0             
                                                                       && -3 + G + H >= 0         
                                                                       && -3 + F + H >= 0         
                                                                       && -2 + D + H >= 0         
                                                                       && -1 + B + H >= 0         
                                                                       && -1 + -1*B + H >= 0      
                                                                       && -2 + A + H >= 0         
                                                                       && -1*A + H >= 0           
                                                                       && F + -1*G >= 0           
                                                                       && -2 + G >= 0             
                                                                       && -4 + F + G >= 0         
                                                                       && -1*F + G >= 0           
                                                                       && -3 + D + G >= 0         
                                                                       && -1 + -1*D + G >= 0      
                                                                       && -2 + B + G >= 0         
                                                                       && -2 + -1*B + G >= 0      
                                                                       && -3 + A + G >= 0         
                                                                       && -1 + -1*A + G >= 0      
                                                                       && -2 + F >= 0             
                                                                       && -3 + D + F >= 0         
                                                                       && -1 + -1*D + F >= 0      
                                                                       && -2 + B + F >= 0         
                                                                       && -2 + -1*B + F >= 0      
                                                                       && -3 + A + F >= 0         
                                                                       && -1 + -1*A + F >= 0      
                                                                       && -1 + D >= 0             
                                                                       && -1 + B + D >= 0         
                                                                       && -1 + -1*B + D >= 0      
                                                                       && -2 + A + D >= 0         
                                                                       && -1*B >= 0               
                                                                       && -1 + A + -1*B >= 0      
                                                                       && B >= 0                  
                                                                       && -1 + A + B >= 0         
                                                                       && -1 + A >= 0             
                                                                       && A >= 1                  
                                                                       && D >= 1                  
                                                                       && G >= A + D              
                                                                       && A >= 2                  
                                                                       && B = 0                   
                                                                       && H = A                   
                                                                       && F = G]                  
          8. start0(A,B,C,D,E,F,G,H) -> start(A,C,C,E,E,G,G,A)        True                   (1,1)
        Signature:
          {(lM1,8);(lZZ1,8);(start,8);(start0,8);(stop,8)}
        Flow Graph:
          [0->{},1->{},2->{},3->{4,5,6},4->{},5->{7},6->{4,5,6},7->{4,6},8->{0,1,2,3}]
        
    + Applied Processor:
        FromIts
    + Details:
        ()
* Step 3: Decompose YES
    + Considered Problem:
        Rules:
          start(A,B,C,D,E,F,G,H)  -> stop(A,B,C,D,E,F,G,H)          [A + -1*H >= 0
                                                                     && -1*A + H >= 0
                                                                     && F + -1*G >= 0
                                                                     && -1*F + G >= 0
                                                                     && D + -1*E >= 0
                                                                     && -1*D + E >= 0
                                                                     && B + -1*C >= 0
                                                                     && -1*B + C >= 0
                                                                     && 0 >= A
                                                                     && B = C
                                                                     && D = E
                                                                     && F = G
                                                                     && H = A]
          start(A,B,C,D,E,F,G,H)  -> stop(A,B,C,D,E,F,G,H)          [A + -1*H >= 0
                                                                     && -1*A + H >= 0
                                                                     && F + -1*G >= 0
                                                                     && -1*F + G >= 0
                                                                     && D + -1*E >= 0
                                                                     && -1*D + E >= 0
                                                                     && B + -1*C >= 0
                                                                     && -1*B + C >= 0
                                                                     && 0 >= 1 + G
                                                                     && B = C
                                                                     && D = E
                                                                     && F = G
                                                                     && H = A]
          start(A,B,C,D,E,F,G,H)  -> stop(A,0,C,F,E,F,G,H)          [A + -1*H >= 0
                                                                     && -1*A + H >= 0
                                                                     && F + -1*G >= 0
                                                                     && -1*F + G >= 0
                                                                     && D + -1*E >= 0
                                                                     && -1*D + E >= 0
                                                                     && B + -1*C >= 0
                                                                     && -1*B + C >= 0
                                                                     && A >= 1
                                                                     && F = 0
                                                                     && B = C
                                                                     && D = E
                                                                     && G = 0
                                                                     && H = A]
          start(A,B,C,D,E,F,G,H)  -> lM1(A,1,C,-1 + F,E,F,G,H)      [A + -1*H >= 0
                                                                     && -1*A + H >= 0
                                                                     && F + -1*G >= 0
                                                                     && -1*F + G >= 0
                                                                     && D + -1*E >= 0
                                                                     && -1*D + E >= 0
                                                                     && B + -1*C >= 0
                                                                     && -1*B + C >= 0
                                                                     && A >= 1
                                                                     && G >= 1
                                                                     && B = C
                                                                     && D = E
                                                                     && F = G
                                                                     && H = A]
          lM1(A,B,C,D,E,F,G,H)    -> stop(A,B,C,D,E,F,G,H)          [A + -1*H >= 0
                                                                     && -1 + H >= 0
                                                                     && -2 + G + H >= 0
                                                                     && -2 + F + H >= 0
                                                                     && -1 + D + H >= 0
                                                                     && -2 + B + H >= 0
                                                                     && -1*B + H >= 0
                                                                     && -2 + A + H >= 0
                                                                     && -1*A + H >= 0
                                                                     && F + -1*G >= 0
                                                                     && -1 + G >= 0
                                                                     && -2 + F + G >= 0
                                                                     && -1*F + G >= 0
                                                                     && -1 + D + G >= 0
                                                                     && -1 + -1*D + G >= 0
                                                                     && -2 + B + G >= 0
                                                                     && -1*B + G >= 0
                                                                     && -2 + A + G >= 0
                                                                     && -1 + F >= 0
                                                                     && -1 + D + F >= 0
                                                                     && -1 + -1*D + F >= 0
                                                                     && -2 + B + F >= 0
                                                                     && -1*B + F >= 0
                                                                     && -2 + A + F >= 0
                                                                     && D >= 0
                                                                     && -1 + B + D >= 0
                                                                     && -1 + A + D >= 0
                                                                     && A + -1*B >= 0
                                                                     && -1 + B >= 0
                                                                     && -2 + A + B >= 0
                                                                     && -1 + A >= 0
                                                                     && A >= B
                                                                     && G >= B
                                                                     && B >= 1
                                                                     && D = 0
                                                                     && H = A
                                                                     && F = G]
          lM1(A,B,C,D,E,F,G,H)    -> lZZ1(A,0,C,D,E,F,G,H)          [A + -1*H >= 0
                                                                     && -1 + H >= 0
                                                                     && -2 + G + H >= 0
                                                                     && -2 + F + H >= 0
                                                                     && -1 + D + H >= 0
                                                                     && -2 + B + H >= 0
                                                                     && -1*B + H >= 0
                                                                     && -2 + A + H >= 0
                                                                     && -1*A + H >= 0
                                                                     && F + -1*G >= 0
                                                                     && -1 + G >= 0
                                                                     && -2 + F + G >= 0
                                                                     && -1*F + G >= 0
                                                                     && -1 + D + G >= 0
                                                                     && -1 + -1*D + G >= 0
                                                                     && -2 + B + G >= 0
                                                                     && -1*B + G >= 0
                                                                     && -2 + A + G >= 0
                                                                     && -1 + F >= 0
                                                                     && -1 + D + F >= 0
                                                                     && -1 + -1*D + F >= 0
                                                                     && -2 + B + F >= 0
                                                                     && -1*B + F >= 0
                                                                     && -2 + A + F >= 0
                                                                     && D >= 0
                                                                     && -1 + B + D >= 0
                                                                     && -1 + A + D >= 0
                                                                     && A + -1*B >= 0
                                                                     && -1 + B >= 0
                                                                     && -2 + A + B >= 0
                                                                     && -1 + A >= 0
                                                                     && D >= 1
                                                                     && G >= A + D
                                                                     && A >= 1
                                                                     && B = A
                                                                     && H = A
                                                                     && F = G]
          lM1(A,B,C,D,E,F,G,H)    -> lM1(A,1 + B,C,-1 + D,E,F,G,H)  [A + -1*H >= 0
                                                                     && -1 + H >= 0
                                                                     && -2 + G + H >= 0
                                                                     && -2 + F + H >= 0
                                                                     && -1 + D + H >= 0
                                                                     && -2 + B + H >= 0
                                                                     && -1*B + H >= 0
                                                                     && -2 + A + H >= 0
                                                                     && -1*A + H >= 0
                                                                     && F + -1*G >= 0
                                                                     && -1 + G >= 0
                                                                     && -2 + F + G >= 0
                                                                     && -1*F + G >= 0
                                                                     && -1 + D + G >= 0
                                                                     && -1 + -1*D + G >= 0
                                                                     && -2 + B + G >= 0
                                                                     && -1*B + G >= 0
                                                                     && -2 + A + G >= 0
                                                                     && -1 + F >= 0
                                                                     && -1 + D + F >= 0
                                                                     && -1 + -1*D + F >= 0
                                                                     && -2 + B + F >= 0
                                                                     && -1*B + F >= 0
                                                                     && -2 + A + F >= 0
                                                                     && D >= 0
                                                                     && -1 + B + D >= 0
                                                                     && -1 + A + D >= 0
                                                                     && A + -1*B >= 0
                                                                     && -1 + B >= 0
                                                                     && -2 + A + B >= 0
                                                                     && -1 + A >= 0
                                                                     && A >= 1 + B
                                                                     && D >= 1
                                                                     && A >= B
                                                                     && G >= B + D
                                                                     && B >= 1
                                                                     && H = A
                                                                     && F = G]
          lZZ1(A,B,C,D,E,F,G,H)   -> lM1(A,1 + B,C,-1 + D,E,F,G,H)  [-1 + G + -1*H >= 0
                                                                     && -1 + F + -1*H >= 0
                                                                     && A + -1*H >= 0
                                                                     && -1 + H >= 0
                                                                     && -3 + G + H >= 0
                                                                     && -3 + F + H >= 0
                                                                     && -2 + D + H >= 0
                                                                     && -1 + B + H >= 0
                                                                     && -1 + -1*B + H >= 0
                                                                     && -2 + A + H >= 0
                                                                     && -1*A + H >= 0
                                                                     && F + -1*G >= 0
                                                                     && -2 + G >= 0
                                                                     && -4 + F + G >= 0
                                                                     && -1*F + G >= 0
                                                                     && -3 + D + G >= 0
                                                                     && -1 + -1*D + G >= 0
                                                                     && -2 + B + G >= 0
                                                                     && -2 + -1*B + G >= 0
                                                                     && -3 + A + G >= 0
                                                                     && -1 + -1*A + G >= 0
                                                                     && -2 + F >= 0
                                                                     && -3 + D + F >= 0
                                                                     && -1 + -1*D + F >= 0
                                                                     && -2 + B + F >= 0
                                                                     && -2 + -1*B + F >= 0
                                                                     && -3 + A + F >= 0
                                                                     && -1 + -1*A + F >= 0
                                                                     && -1 + D >= 0
                                                                     && -1 + B + D >= 0
                                                                     && -1 + -1*B + D >= 0
                                                                     && -2 + A + D >= 0
                                                                     && -1*B >= 0
                                                                     && -1 + A + -1*B >= 0
                                                                     && B >= 0
                                                                     && -1 + A + B >= 0
                                                                     && -1 + A >= 0
                                                                     && A >= 1
                                                                     && D >= 1
                                                                     && G >= A + D
                                                                     && A >= 2
                                                                     && B = 0
                                                                     && H = A
                                                                     && F = G]
          start0(A,B,C,D,E,F,G,H) -> start(A,C,C,E,E,G,G,A)         True
        Signature:
          {(lM1,8);(lZZ1,8);(start,8);(start0,8);(stop,8)}
        Rule Graph:
          [0->{},1->{},2->{},3->{4,5,6},4->{},5->{7},6->{4,5,6},7->{4,6},8->{0,1,2,3}]
    + Applied Processor:
        Decompose NoGreedy
    + Details:
        We construct a looptree:
          P: [0,1,2,3,4,5,6,7,8]
          |
          `- p:[5,6,7] c: [5,7]
             |
             `- p:[6] c: [6]
* Step 4: CloseWith YES
    + Considered Problem:
        (Rules:
          start(A,B,C,D,E,F,G,H)  -> stop(A,B,C,D,E,F,G,H)          [A + -1*H >= 0
                                                                     && -1*A + H >= 0
                                                                     && F + -1*G >= 0
                                                                     && -1*F + G >= 0
                                                                     && D + -1*E >= 0
                                                                     && -1*D + E >= 0
                                                                     && B + -1*C >= 0
                                                                     && -1*B + C >= 0
                                                                     && 0 >= A
                                                                     && B = C
                                                                     && D = E
                                                                     && F = G
                                                                     && H = A]
          start(A,B,C,D,E,F,G,H)  -> stop(A,B,C,D,E,F,G,H)          [A + -1*H >= 0
                                                                     && -1*A + H >= 0
                                                                     && F + -1*G >= 0
                                                                     && -1*F + G >= 0
                                                                     && D + -1*E >= 0
                                                                     && -1*D + E >= 0
                                                                     && B + -1*C >= 0
                                                                     && -1*B + C >= 0
                                                                     && 0 >= 1 + G
                                                                     && B = C
                                                                     && D = E
                                                                     && F = G
                                                                     && H = A]
          start(A,B,C,D,E,F,G,H)  -> stop(A,0,C,F,E,F,G,H)          [A + -1*H >= 0
                                                                     && -1*A + H >= 0
                                                                     && F + -1*G >= 0
                                                                     && -1*F + G >= 0
                                                                     && D + -1*E >= 0
                                                                     && -1*D + E >= 0
                                                                     && B + -1*C >= 0
                                                                     && -1*B + C >= 0
                                                                     && A >= 1
                                                                     && F = 0
                                                                     && B = C
                                                                     && D = E
                                                                     && G = 0
                                                                     && H = A]
          start(A,B,C,D,E,F,G,H)  -> lM1(A,1,C,-1 + F,E,F,G,H)      [A + -1*H >= 0
                                                                     && -1*A + H >= 0
                                                                     && F + -1*G >= 0
                                                                     && -1*F + G >= 0
                                                                     && D + -1*E >= 0
                                                                     && -1*D + E >= 0
                                                                     && B + -1*C >= 0
                                                                     && -1*B + C >= 0
                                                                     && A >= 1
                                                                     && G >= 1
                                                                     && B = C
                                                                     && D = E
                                                                     && F = G
                                                                     && H = A]
          lM1(A,B,C,D,E,F,G,H)    -> stop(A,B,C,D,E,F,G,H)          [A + -1*H >= 0
                                                                     && -1 + H >= 0
                                                                     && -2 + G + H >= 0
                                                                     && -2 + F + H >= 0
                                                                     && -1 + D + H >= 0
                                                                     && -2 + B + H >= 0
                                                                     && -1*B + H >= 0
                                                                     && -2 + A + H >= 0
                                                                     && -1*A + H >= 0
                                                                     && F + -1*G >= 0
                                                                     && -1 + G >= 0
                                                                     && -2 + F + G >= 0
                                                                     && -1*F + G >= 0
                                                                     && -1 + D + G >= 0
                                                                     && -1 + -1*D + G >= 0
                                                                     && -2 + B + G >= 0
                                                                     && -1*B + G >= 0
                                                                     && -2 + A + G >= 0
                                                                     && -1 + F >= 0
                                                                     && -1 + D + F >= 0
                                                                     && -1 + -1*D + F >= 0
                                                                     && -2 + B + F >= 0
                                                                     && -1*B + F >= 0
                                                                     && -2 + A + F >= 0
                                                                     && D >= 0
                                                                     && -1 + B + D >= 0
                                                                     && -1 + A + D >= 0
                                                                     && A + -1*B >= 0
                                                                     && -1 + B >= 0
                                                                     && -2 + A + B >= 0
                                                                     && -1 + A >= 0
                                                                     && A >= B
                                                                     && G >= B
                                                                     && B >= 1
                                                                     && D = 0
                                                                     && H = A
                                                                     && F = G]
          lM1(A,B,C,D,E,F,G,H)    -> lZZ1(A,0,C,D,E,F,G,H)          [A + -1*H >= 0
                                                                     && -1 + H >= 0
                                                                     && -2 + G + H >= 0
                                                                     && -2 + F + H >= 0
                                                                     && -1 + D + H >= 0
                                                                     && -2 + B + H >= 0
                                                                     && -1*B + H >= 0
                                                                     && -2 + A + H >= 0
                                                                     && -1*A + H >= 0
                                                                     && F + -1*G >= 0
                                                                     && -1 + G >= 0
                                                                     && -2 + F + G >= 0
                                                                     && -1*F + G >= 0
                                                                     && -1 + D + G >= 0
                                                                     && -1 + -1*D + G >= 0
                                                                     && -2 + B + G >= 0
                                                                     && -1*B + G >= 0
                                                                     && -2 + A + G >= 0
                                                                     && -1 + F >= 0
                                                                     && -1 + D + F >= 0
                                                                     && -1 + -1*D + F >= 0
                                                                     && -2 + B + F >= 0
                                                                     && -1*B + F >= 0
                                                                     && -2 + A + F >= 0
                                                                     && D >= 0
                                                                     && -1 + B + D >= 0
                                                                     && -1 + A + D >= 0
                                                                     && A + -1*B >= 0
                                                                     && -1 + B >= 0
                                                                     && -2 + A + B >= 0
                                                                     && -1 + A >= 0
                                                                     && D >= 1
                                                                     && G >= A + D
                                                                     && A >= 1
                                                                     && B = A
                                                                     && H = A
                                                                     && F = G]
          lM1(A,B,C,D,E,F,G,H)    -> lM1(A,1 + B,C,-1 + D,E,F,G,H)  [A + -1*H >= 0
                                                                     && -1 + H >= 0
                                                                     && -2 + G + H >= 0
                                                                     && -2 + F + H >= 0
                                                                     && -1 + D + H >= 0
                                                                     && -2 + B + H >= 0
                                                                     && -1*B + H >= 0
                                                                     && -2 + A + H >= 0
                                                                     && -1*A + H >= 0
                                                                     && F + -1*G >= 0
                                                                     && -1 + G >= 0
                                                                     && -2 + F + G >= 0
                                                                     && -1*F + G >= 0
                                                                     && -1 + D + G >= 0
                                                                     && -1 + -1*D + G >= 0
                                                                     && -2 + B + G >= 0
                                                                     && -1*B + G >= 0
                                                                     && -2 + A + G >= 0
                                                                     && -1 + F >= 0
                                                                     && -1 + D + F >= 0
                                                                     && -1 + -1*D + F >= 0
                                                                     && -2 + B + F >= 0
                                                                     && -1*B + F >= 0
                                                                     && -2 + A + F >= 0
                                                                     && D >= 0
                                                                     && -1 + B + D >= 0
                                                                     && -1 + A + D >= 0
                                                                     && A + -1*B >= 0
                                                                     && -1 + B >= 0
                                                                     && -2 + A + B >= 0
                                                                     && -1 + A >= 0
                                                                     && A >= 1 + B
                                                                     && D >= 1
                                                                     && A >= B
                                                                     && G >= B + D
                                                                     && B >= 1
                                                                     && H = A
                                                                     && F = G]
          lZZ1(A,B,C,D,E,F,G,H)   -> lM1(A,1 + B,C,-1 + D,E,F,G,H)  [-1 + G + -1*H >= 0
                                                                     && -1 + F + -1*H >= 0
                                                                     && A + -1*H >= 0
                                                                     && -1 + H >= 0
                                                                     && -3 + G + H >= 0
                                                                     && -3 + F + H >= 0
                                                                     && -2 + D + H >= 0
                                                                     && -1 + B + H >= 0
                                                                     && -1 + -1*B + H >= 0
                                                                     && -2 + A + H >= 0
                                                                     && -1*A + H >= 0
                                                                     && F + -1*G >= 0
                                                                     && -2 + G >= 0
                                                                     && -4 + F + G >= 0
                                                                     && -1*F + G >= 0
                                                                     && -3 + D + G >= 0
                                                                     && -1 + -1*D + G >= 0
                                                                     && -2 + B + G >= 0
                                                                     && -2 + -1*B + G >= 0
                                                                     && -3 + A + G >= 0
                                                                     && -1 + -1*A + G >= 0
                                                                     && -2 + F >= 0
                                                                     && -3 + D + F >= 0
                                                                     && -1 + -1*D + F >= 0
                                                                     && -2 + B + F >= 0
                                                                     && -2 + -1*B + F >= 0
                                                                     && -3 + A + F >= 0
                                                                     && -1 + -1*A + F >= 0
                                                                     && -1 + D >= 0
                                                                     && -1 + B + D >= 0
                                                                     && -1 + -1*B + D >= 0
                                                                     && -2 + A + D >= 0
                                                                     && -1*B >= 0
                                                                     && -1 + A + -1*B >= 0
                                                                     && B >= 0
                                                                     && -1 + A + B >= 0
                                                                     && -1 + A >= 0
                                                                     && A >= 1
                                                                     && D >= 1
                                                                     && G >= A + D
                                                                     && A >= 2
                                                                     && B = 0
                                                                     && H = A
                                                                     && F = G]
          start0(A,B,C,D,E,F,G,H) -> start(A,C,C,E,E,G,G,A)         True
        Signature:
          {(lM1,8);(lZZ1,8);(start,8);(start0,8);(stop,8)}
        Rule Graph:
          [0->{},1->{},2->{},3->{4,5,6},4->{},5->{7},6->{4,5,6},7->{4,6},8->{0,1,2,3}]
        ,We construct a looptree:
          P: [0,1,2,3,4,5,6,7,8]
          |
          `- p:[5,6,7] c: [5,7]
             |
             `- p:[6] c: [6])
    + Applied Processor:
        CloseWith True
    + Details:
        ()

YES