YES
* Step 1: TrivialSCCs YES
    + Considered Problem:
        Rules:
          0. f300(A,B) -> f2(A,B)      True     (1,1)
          1. f2(A,B)   -> f2(-1 + A,B) [A >= 1] (?,1)
          2. f2(A,B)   -> f1(-1 + A,C) [0 >= A] (?,1)
        Signature:
          {(f1,2);(f2,2);(f300,2)}
        Flow Graph:
          [0->{1,2},1->{1,2},2->{}]
        
    + Applied Processor:
        TrivialSCCs
    + Details:
        All trivial SCCs of the transition graph admit timebound 1.
* Step 2: Looptree YES
    + Considered Problem:
        Rules:
          0. f300(A,B) -> f2(A,B)      True     (1,1)
          1. f2(A,B)   -> f2(-1 + A,B) [A >= 1] (?,1)
          2. f2(A,B)   -> f1(-1 + A,C) [0 >= A] (1,1)
        Signature:
          {(f1,2);(f2,2);(f300,2)}
        Flow Graph:
          [0->{1,2},1->{1,2},2->{}]
        
    + Applied Processor:
        Looptree
    + Details:
        We construct a looptree:
          P: [0,1,2]
          |
          `- p:[1] c: [1]

YES