YES
* Step 1: UnsatPaths YES
    + Considered Problem:
        Rules:
          0. eval(A,B)  -> eval(B,A) [A >= 1 + B] (?,1)
          1. start(A,B) -> eval(A,B) True         (1,1)
        Signature:
          {(eval,2);(start,2)}
        Flow Graph:
          [0->{0},1->{0}]
        
    + Applied Processor:
        UnsatPaths
    + Details:
        We remove following edges from the transition graph: [(0,0)]
* Step 2: FromIts YES
    + Considered Problem:
        Rules:
          0. eval(A,B)  -> eval(B,A) [A >= 1 + B] (?,1)
          1. start(A,B) -> eval(A,B) True         (1,1)
        Signature:
          {(eval,2);(start,2)}
        Flow Graph:
          [0->{},1->{0}]
        
    + Applied Processor:
        FromIts
    + Details:
        ()
* Step 3: Decompose YES
    + Considered Problem:
        Rules:
          eval(A,B)  -> eval(B,A)  [A >= 1 + B]
          start(A,B) -> eval(A,B)  True
        Signature:
          {(eval,2);(start,2)}
        Rule Graph:
          [0->{},1->{0}]
    + Applied Processor:
        Decompose NoGreedy
    + Details:
        We construct a looptree:
          P: [0,1]
* Step 4: CloseWith YES
    + Considered Problem:
        (Rules:
          eval(A,B)  -> eval(B,A)  [A >= 1 + B]
          start(A,B) -> eval(A,B)  True
        Signature:
          {(eval,2);(start,2)}
        Rule Graph:
          [0->{},1->{0}]
        ,We construct a looptree:
          P: [0,1])
    + Applied Processor:
        CloseWith True
    + Details:
        ()

YES