YES
* Step 1: UnreachableRules YES
    + 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: FromIts YES
    + 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:
        FromIts
    + Details:
        ()
* Step 3: Decompose YES
    + Considered Problem:
        Rules:
          zip3(A,B,C)  -> zip3(-1 + A,-1 + B,-1 + C)  [A >= 1 && B >= 1 && C >= 1]
          start(A,B,C) -> zip3(A,B,C)                 True
        Signature:
          {(group3,3);(start,3);(zip3,3)}
        Rule Graph:
          [0->{0},2->{0}]
    + Applied Processor:
        Decompose NoGreedy
    + Details:
        We construct a looptree:
          P: [0,2]
          |
          `- p:[0] c: [0]
* Step 4: CloseWith YES
    + Considered Problem:
        (Rules:
          zip3(A,B,C)  -> zip3(-1 + A,-1 + B,-1 + C)  [A >= 1 && B >= 1 && C >= 1]
          start(A,B,C) -> zip3(A,B,C)                 True
        Signature:
          {(group3,3);(start,3);(zip3,3)}
        Rule Graph:
          [0->{0},2->{0}]
        ,We construct a looptree:
          P: [0,2]
          |
          `- p:[0] c: [0])
    + Applied Processor:
        CloseWith True
    + Details:
        ()

YES