YES(?,O(n^1))
* Step 1: UnsatPaths WORST_CASE(?,O(n^1))
    + Considered Problem:
        Rules:
          0. eval0(A,B,C) -> eval1(A,B,C)        [A >= 1]                                            (1,1)
          1. eval1(A,B,C) -> eval1(A,A + B,C)    [-1 + A >= 0 && A >= 1 + B && C >= 1 + A && A >= 1] (?,1)
          2. eval1(A,B,C) -> eval1(A,B,-1*A + B) [-1 + A >= 0 && A >= 1 + B && C >= 1 + A && A >= 1] (?,1)
        Signature:
          {(eval0,3);(eval1,3)}
        Flow Graph:
          [0->{1,2},1->{1,2},2->{1,2}]
        
    + Applied Processor:
        UnsatPaths
    + Details:
        We remove following edges from the transition graph: [(2,1),(2,2)]
* Step 2: FromIts WORST_CASE(?,O(n^1))
    + Considered Problem:
        Rules:
          0. eval0(A,B,C) -> eval1(A,B,C)        [A >= 1]                                            (1,1)
          1. eval1(A,B,C) -> eval1(A,A + B,C)    [-1 + A >= 0 && A >= 1 + B && C >= 1 + A && A >= 1] (?,1)
          2. eval1(A,B,C) -> eval1(A,B,-1*A + B) [-1 + A >= 0 && A >= 1 + B && C >= 1 + A && A >= 1] (?,1)
        Signature:
          {(eval0,3);(eval1,3)}
        Flow Graph:
          [0->{1,2},1->{1,2},2->{}]
        
    + Applied Processor:
        FromIts
    + Details:
        ()
* Step 3: AddSinks WORST_CASE(?,O(n^1))
    + Considered Problem:
        Rules:
          eval0(A,B,C) -> eval1(A,B,C)         [A >= 1]
          eval1(A,B,C) -> eval1(A,A + B,C)     [-1 + A >= 0 && A >= 1 + B && C >= 1 + A && A >= 1]
          eval1(A,B,C) -> eval1(A,B,-1*A + B)  [-1 + A >= 0 && A >= 1 + B && C >= 1 + A && A >= 1]
        Signature:
          {(eval0,3);(eval1,3)}
        Rule Graph:
          [0->{1,2},1->{1,2},2->{}]
    + Applied Processor:
        AddSinks
    + Details:
        ()
* Step 4: Decompose WORST_CASE(?,O(n^1))
    + Considered Problem:
        Rules:
          eval0(A,B,C) -> eval1(A,B,C)         [A >= 1]
          eval1(A,B,C) -> eval1(A,A + B,C)     [-1 + A >= 0 && A >= 1 + B && C >= 1 + A && A >= 1]
          eval1(A,B,C) -> eval1(A,B,-1*A + B)  [-1 + A >= 0 && A >= 1 + B && C >= 1 + A && A >= 1]
          eval1(A,B,C) -> exitus616(A,B,C)     True
        Signature:
          {(eval0,3);(eval1,3);(exitus616,3)}
        Rule Graph:
          [0->{1,2},1->{1,2},2->{3}]
    + Applied Processor:
        Decompose Greedy
    + Details:
        We construct a looptree:
          P: [0,1,2,3]
          |
          `- p:[1] c: [1]
* Step 5: AbstractSize WORST_CASE(?,O(n^1))
    + Considered Problem:
        (Rules:
          eval0(A,B,C) -> eval1(A,B,C)         [A >= 1]
          eval1(A,B,C) -> eval1(A,A + B,C)     [-1 + A >= 0 && A >= 1 + B && C >= 1 + A && A >= 1]
          eval1(A,B,C) -> eval1(A,B,-1*A + B)  [-1 + A >= 0 && A >= 1 + B && C >= 1 + A && A >= 1]
          eval1(A,B,C) -> exitus616(A,B,C)     True
        Signature:
          {(eval0,3);(eval1,3);(exitus616,3)}
        Rule Graph:
          [0->{1,2},1->{1,2},2->{3}]
        ,We construct a looptree:
          P: [0,1,2,3]
          |
          `- p:[1] c: [1])
    + Applied Processor:
        AbstractSize Minimize
    + Details:
        ()
* Step 6: AbstractFlow WORST_CASE(?,O(n^1))
    + Considered Problem:
        Program:
          Domain: [A,B,C,0.0]
           eval0  ~>  eval1       [A <= A, B <= B, C <= C]
           eval1  ~>  eval1       [A <= A, B <= A + B, C <= C]
           eval1  ~>  eval1       [A <= A, B <= B, C <= B + C]
           eval1  ~>  exitus616   [A <= A, B <= B, C <= C]
          + Loop: [0.0 <= K + A + B]
               eval1  ~>  eval1   [A <= A, B <= A + B, C <= C]
    + Applied Processor:
        AbstractFlow
    + Details:
        ()
* Step 7: Lare WORST_CASE(?,O(n^1))
    + Considered Problem:
        Program:
          Domain: [tick,huge,K,A,B,C,0.0]
           eval0  ~>  eval1       []
           eval1  ~>  eval1       [A ~+> B,B ~+> B]
           eval1  ~>  eval1       [B ~+> C,C ~+> C]
           eval1  ~>  exitus616   []
          + Loop: [A ~+> 0.0,B ~+> 0.0,K ~+> 0.0]
               eval1  ~>  eval1   [A ~+> B,B ~+> B]
    + Applied Processor:
        Lare
    + Details:
         eval0  ~>  exitus616   [A ~+> B
                                ,A ~+> 0.0
                                ,A ~+> tick
                                ,B ~+> B
                                ,B ~+> C
                                ,B ~+> 0.0
                                ,B ~+> tick
                                ,C ~+> C
                                ,tick ~+> tick
                                ,K ~+> 0.0
                                ,K ~+> tick
                                ,A ~*> B
                                ,B ~*> B
                                ,K ~*> B]
        + <eval1  ~>  eval1>  [A ~+> B
                              ,A ~+> 0.0
                              ,A ~+> tick
                              ,B ~+> B
                              ,B ~+> 0.0
                              ,B ~+> tick
                              ,tick ~+> tick
                              ,K ~+> 0.0
                              ,K ~+> tick
                              ,A ~*> B
                              ,B ~*> B
                              ,K ~*> B]

YES(?,O(n^1))