/auto-ultimate

/auto-ultimate [mission] [options]

# Ultimate autonomous evolution with all subsystems enabled
/auto-ultimate

# Mission-driven formally verified evolution
/auto-ultimate "Achieve 100% type safety across platform"

# Full formal verification with verified proofs
/auto-ultimate --lean4=true --prolog=true --proofs=verified

# Extended evolution with 20 genetic generations
/auto-ultimate --generations=20

# Selective subsystem activation
/auto-ultimate --lean4=true --mycelial=false

# Cached proofs for faster iteration during development
/auto-ultimate --proofs=cached --generations=5

defmodule Prismatic.Commands.AutoUltimate do
  @moduledoc """
  Ultimate autonomous evolution with MENDEL genetics, mycelial intelligence,
  Lean4 formal verification, and Prolog logical reasoning.
  """

  @default_generations 10
  @quality_floor 100

  @spec execute(mission :: String.t() | nil, opts :: keyword()) ::
          {:ok, VerifiedEvolutionReport.t()} | {:error, term()}
  def execute(mission \\ nil, opts \\ []) do
    generations = Keyword.get(opts, :generations, @default_generations)
    lean4 = Keyword.get(opts, :lean4, true)
    prolog = Keyword.get(opts, :prolog, true)
    proofs = Keyword.get(opts, :proofs, "verified")

    with {:ok, formal_foundation} <- establish_formal_foundation(mission, lean4, prolog),
         {:ok, population} <- initialize_verified_population(formal_foundation),
         {:ok, mycelial_state} <- connect_mycelial_network(opts),
         {:ok, evolved} <- run_verified_evolution(population, generations, formal_foundation),
         {:ok, proven} <- generate_proof_certificates(evolved, proofs),
         {:ok, propagated} <- propagate_with_certificates(proven, mycelial_state),
         {:ok, report} <- compile_ultimate_report(evolved, proven, propagated) do
      {:ok, report}
    end
  end

  defp run_verified_evolution(population, generations, foundation) do
    Enum.reduce_while(1..generations, {:ok, population}, fn gen, {:ok, pop} ->
      with {:ok, selected} <- select_fittest(pop),
           {:ok, crossed} <- crossover(selected),
           {:ok, mutated} <- mutate(crossed),
           {:ok, lean4_verified} <- verify_with_lean4(mutated, foundation),
           {:ok, prolog_satisfied} <- check_prolog_constraints(lean4_verified, foundation) do
        {:cont, {:ok, %{pop | generation: gen, individuals: prolog_satisfied}}}
      else
        {:error, _} = error -> {:halt, error}
      end
    end)
  end
end

-- Pattern soundness theorem
theorem evolution_preserves_semantics
  (p : Pattern) (g : Generation) :
  semantics (evolve p g) = semantics p := by
  induction g with
  | zero => simp [evolve_zero]
  | succ n ih => exact evolution_step_sound ih

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