MAYBE
* Step 1: TrivialSCCs MAYBE
    + Considered Problem:
        Rules:
          0. f2(A,B,C,D)   -> f300(A,B,C,D)           True                                           (1,1)
          1. f300(A,B,C,D) -> f300(-1 + B,-1 + B,E,D) [A >= 1 && B >= 1 && E >= 1 && A + B >= 1]     (?,1)
          2. f300(A,B,C,D) -> f300(-1 + B,-1 + B,E,D) [A >= 1 && B >= 1 && 0 >= 1 + E && A + B >= 1] (?,1)
          3. f300(A,B,C,D) -> f300(-1 + A,-2 + A,0,D) [A >= 1 && A + B >= 1 && B >= 1]               (?,1)
          4. f300(A,B,C,D) -> f1(A,B,C,E)             [A >= 1 && 0 >= A + B && B >= 1]               (?,1)
          5. f300(A,B,C,D) -> f1(A,B,C,E)             [B >= 1 && 0 >= A]                             (?,1)
          6. f300(A,B,C,D) -> f1(A,B,C,E)             [0 >= B]                                       (?,1)
        Signature:
          {(f1,4);(f2,4);(f300,4)}
        Flow Graph:
          [0->{1,2,3,4,5,6},1->{1,2,3,4,5,6},2->{1,2,3,4,5,6},3->{1,2,3,4,5,6},4->{},5->{},6->{}]
        
    + Applied Processor:
        TrivialSCCs
    + Details:
        All trivial SCCs of the transition graph admit timebound 1.
* Step 2: UnsatPaths MAYBE
    + Considered Problem:
        Rules:
          0. f2(A,B,C,D)   -> f300(A,B,C,D)           True                                           (1,1)
          1. f300(A,B,C,D) -> f300(-1 + B,-1 + B,E,D) [A >= 1 && B >= 1 && E >= 1 && A + B >= 1]     (?,1)
          2. f300(A,B,C,D) -> f300(-1 + B,-1 + B,E,D) [A >= 1 && B >= 1 && 0 >= 1 + E && A + B >= 1] (?,1)
          3. f300(A,B,C,D) -> f300(-1 + A,-2 + A,0,D) [A >= 1 && A + B >= 1 && B >= 1]               (?,1)
          4. f300(A,B,C,D) -> f1(A,B,C,E)             [A >= 1 && 0 >= A + B && B >= 1]               (1,1)
          5. f300(A,B,C,D) -> f1(A,B,C,E)             [B >= 1 && 0 >= A]                             (1,1)
          6. f300(A,B,C,D) -> f1(A,B,C,E)             [0 >= B]                                       (1,1)
        Signature:
          {(f1,4);(f2,4);(f300,4)}
        Flow Graph:
          [0->{1,2,3,4,5,6},1->{1,2,3,4,5,6},2->{1,2,3,4,5,6},3->{1,2,3,4,5,6},4->{},5->{},6->{}]
        
    + Applied Processor:
        UnsatPaths
    + Details:
        We remove following edges from the transition graph: [(0,4),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)]
* Step 3: UnreachableRules MAYBE
    + Considered Problem:
        Rules:
          0. f2(A,B,C,D)   -> f300(A,B,C,D)           True                                           (1,1)
          1. f300(A,B,C,D) -> f300(-1 + B,-1 + B,E,D) [A >= 1 && B >= 1 && E >= 1 && A + B >= 1]     (?,1)
          2. f300(A,B,C,D) -> f300(-1 + B,-1 + B,E,D) [A >= 1 && B >= 1 && 0 >= 1 + E && A + B >= 1] (?,1)
          3. f300(A,B,C,D) -> f300(-1 + A,-2 + A,0,D) [A >= 1 && A + B >= 1 && B >= 1]               (?,1)
          4. f300(A,B,C,D) -> f1(A,B,C,E)             [A >= 1 && 0 >= A + B && B >= 1]               (1,1)
          5. f300(A,B,C,D) -> f1(A,B,C,E)             [B >= 1 && 0 >= A]                             (1,1)
          6. f300(A,B,C,D) -> f1(A,B,C,E)             [0 >= B]                                       (1,1)
        Signature:
          {(f1,4);(f2,4);(f300,4)}
        Flow Graph:
          [0->{1,2,3,5,6},1->{1,2,3,6},2->{1,2,3,6},3->{1,2,3,6},4->{},5->{},6->{}]
        
    + Applied Processor:
        UnreachableRules
    + Details:
        Following transitions are not reachable from the starting states and are revomed: [4]
* Step 4: AddSinks MAYBE
    + Considered Problem:
        Rules:
          0. f2(A,B,C,D)   -> f300(A,B,C,D)           True                                           (1,1)
          1. f300(A,B,C,D) -> f300(-1 + B,-1 + B,E,D) [A >= 1 && B >= 1 && E >= 1 && A + B >= 1]     (?,1)
          2. f300(A,B,C,D) -> f300(-1 + B,-1 + B,E,D) [A >= 1 && B >= 1 && 0 >= 1 + E && A + B >= 1] (?,1)
          3. f300(A,B,C,D) -> f300(-1 + A,-2 + A,0,D) [A >= 1 && A + B >= 1 && B >= 1]               (?,1)
          5. f300(A,B,C,D) -> f1(A,B,C,E)             [B >= 1 && 0 >= A]                             (1,1)
          6. f300(A,B,C,D) -> f1(A,B,C,E)             [0 >= B]                                       (1,1)
        Signature:
          {(f1,4);(f2,4);(f300,4)}
        Flow Graph:
          [0->{1,2,3,5,6},1->{1,2,3,6},2->{1,2,3,6},3->{1,2,3,6},5->{},6->{}]
        
    + Applied Processor:
        AddSinks
    + Details:
        ()
* Step 5: UnsatPaths MAYBE
    + Considered Problem:
        Rules:
          0. f2(A,B,C,D)   -> f300(A,B,C,D)           True                                           (1,1)
          1. f300(A,B,C,D) -> f300(-1 + B,-1 + B,E,D) [A >= 1 && B >= 1 && E >= 1 && A + B >= 1]     (?,1)
          2. f300(A,B,C,D) -> f300(-1 + B,-1 + B,E,D) [A >= 1 && B >= 1 && 0 >= 1 + E && A + B >= 1] (?,1)
          3. f300(A,B,C,D) -> f300(-1 + A,-2 + A,0,D) [A >= 1 && A + B >= 1 && B >= 1]               (?,1)
          5. f300(A,B,C,D) -> f1(A,B,C,E)             [B >= 1 && 0 >= A]                             (?,1)
          6. f300(A,B,C,D) -> f1(A,B,C,E)             [0 >= B]                                       (?,1)
          7. f300(A,B,C,D) -> exitus616(A,B,C,D)      True                                           (?,1)
        Signature:
          {(exitus616,4);(f1,4);(f2,4);(f300,4)}
        Flow Graph:
          [0->{1,2,3,5,6,7},1->{1,2,3,5,6,7},2->{1,2,3,5,6,7},3->{1,2,3,5,6,7},5->{},6->{},7->{}]
        
    + Applied Processor:
        UnsatPaths
    + Details:
        We remove following edges from the transition graph: [(1,5),(2,5),(3,5)]
* Step 6: Failure MAYBE
  + Considered Problem:
      Rules:
        0. f2(A,B,C,D)   -> f300(A,B,C,D)           True                                           (1,1)
        1. f300(A,B,C,D) -> f300(-1 + B,-1 + B,E,D) [A >= 1 && B >= 1 && E >= 1 && A + B >= 1]     (?,1)
        2. f300(A,B,C,D) -> f300(-1 + B,-1 + B,E,D) [A >= 1 && B >= 1 && 0 >= 1 + E && A + B >= 1] (?,1)
        3. f300(A,B,C,D) -> f300(-1 + A,-2 + A,0,D) [A >= 1 && A + B >= 1 && B >= 1]               (?,1)
        5. f300(A,B,C,D) -> f1(A,B,C,E)             [B >= 1 && 0 >= A]                             (?,1)
        6. f300(A,B,C,D) -> f1(A,B,C,E)             [0 >= B]                                       (?,1)
        7. f300(A,B,C,D) -> exitus616(A,B,C,D)      True                                           (?,1)
      Signature:
        {(exitus616,4);(f1,4);(f2,4);(f300,4)}
      Flow Graph:
        [0->{1,2,3,5,6,7},1->{1,2,3,6,7},2->{1,2,3,6,7},3->{1,2,3,6,7},5->{},6->{},7->{}]
      
  + Applied Processor:
      LooptreeTransformer
  + Details:
      We construct a looptree:
        P: [0,1,2,3,5,6,7]
        |
        `- p:[1,2,3] c: []
MAYBE