YES(?,O(n^1))
* Step 1: UnreachableRules WORST_CASE(?,O(n^1))
    + Considered Problem:
        Rules:
          0. zip3(A,B,C)   -> zip3(-1 + A,-1 + B,-1 + C) [A >= 1 && B >= 1 && C >= 1] (?,1)
          1. group3(A,B,C) -> group3(-3 + A,B,C)         [A >= 4]                     (?,1)
          2. start(A,B,C)  -> zip3(A,B,C)                True                         (1,1)
        Signature:
          {(group3,3);(start,3);(zip3,3)}
        Flow Graph:
          [0->{0},1->{1},2->{0}]
        
    + Applied Processor:
        UnreachableRules
    + Details:
        Following transitions are not reachable from the starting states and are revomed: [1]
* Step 2: PolyRank WORST_CASE(?,O(n^1))
    + Considered Problem:
        Rules:
          0. zip3(A,B,C)  -> zip3(-1 + A,-1 + B,-1 + C) [A >= 1 && B >= 1 && C >= 1] (?,1)
          2. start(A,B,C) -> zip3(A,B,C)                True                         (1,1)
        Signature:
          {(group3,3);(start,3);(zip3,3)}
        Flow Graph:
          [0->{0},2->{0}]
        
    + Applied Processor:
        PolyRank {useFarkas = True, withSizebounds = [], shape = Linear}
    + Details:
        We apply a polynomial interpretation of shape linear:
          p(start) = x1
           p(zip3) = x1
        
        Following rules are strictly oriented:
        [A >= 1 && B >= 1 && C >= 1] ==>                           
                         zip3(A,B,C)   = A                         
                                       > -1 + A                    
                                       = zip3(-1 + A,-1 + B,-1 + C)
        
        
        Following rules are weakly oriented:
                  True ==>            
          start(A,B,C)   = A          
                        >= A          
                         = zip3(A,B,C)
        
        
* Step 3: KnowledgePropagation WORST_CASE(?,O(n^1))
    + Considered Problem:
        Rules:
          0. zip3(A,B,C)  -> zip3(-1 + A,-1 + B,-1 + C) [A >= 1 && B >= 1 && C >= 1] (A,1)
          2. start(A,B,C) -> zip3(A,B,C)                True                         (1,1)
        Signature:
          {(group3,3);(start,3);(zip3,3)}
        Flow Graph:
          [0->{0},2->{0}]
        
    + Applied Processor:
        KnowledgePropagation
    + Details:
        The problem is already solved.

YES(?,O(n^1))