*** 1 Progress [(O(1),O(n^1))]  ***
    Considered Problem:
      Strict DP Rules:
        
      Strict TRS Rules:
        activate(X) -> X
        activate(n__f(X)) -> f(X)
        f(X) -> n__f(X)
        f(f(a())) -> c(n__f(g(f(a()))))
      Weak DP Rules:
        
      Weak TRS Rules:
        
      Signature:
        {activate/1,f/1} / {a/0,c/1,g/1,n__f/1}
      Obligation:
        Full
        basic terms: {activate,f}/{a,c,g,n__f}
    Applied Processor:
      Bounds {initialAutomaton = minimal, enrichment = match}
    Proof:
      The problem is match-bounded by 2.
      The enriched problem is compatible with follwoing automaton.
        a_0() -> 1
        a_0() -> 2
        activate_0(2) -> 1
        c_0(2) -> 1
        c_0(2) -> 2
        f_0(2) -> 1
        f_1(2) -> 1
        g_0(2) -> 1
        g_0(2) -> 2
        n__f_0(2) -> 1
        n__f_0(2) -> 2
        n__f_1(2) -> 1
        n__f_2(2) -> 1
        2 -> 1
*** 1.1 Progress [(O(1),O(1))]  ***
    Considered Problem:
      Strict DP Rules:
        
      Strict TRS Rules:
        
      Weak DP Rules:
        
      Weak TRS Rules:
        activate(X) -> X
        activate(n__f(X)) -> f(X)
        f(X) -> n__f(X)
        f(f(a())) -> c(n__f(g(f(a()))))
      Signature:
        {activate/1,f/1} / {a/0,c/1,g/1,n__f/1}
      Obligation:
        Full
        basic terms: {activate,f}/{a,c,g,n__f}
    Applied Processor:
      EmptyProcessor
    Proof:
      The problem is already closed. The intended complexity is O(1).