src/Tools/solve_direct.ML
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(*  Title:      Tools/solve_direct.ML
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    Author:     Timothy Bourke and Gerwin Klein, NICTA
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Check whether a newly stated theorem can be solved directly by an
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existing theorem.  Duplicate lemmas can be detected in this way.
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The implementation relies critically on the Find_Theorems solves
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feature.
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*)
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signature SOLVE_DIRECT =
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sig
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  val solve_directN: string
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  val someN: string
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  val noneN: string
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  val unknownN: string
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  val max_solutions: int Unsynchronized.ref
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  val solve_direct: Proof.state -> bool * (string * string list)
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end;
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structure Solve_Direct: SOLVE_DIRECT =
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struct
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datatype mode = Auto_Try | Try | Normal
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val solve_directN = "solve_direct";
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val someN = "some";
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val noneN = "none";
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val unknownN = "none";
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(* preferences *)
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val max_solutions = Unsynchronized.ref 5;
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(* solve_direct command *)
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fun do_solve_direct mode state =
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  let
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    val ctxt = Proof.context_of state;
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    val find_ctxt = if mode = Auto_Try then Context_Position.set_visible false ctxt else ctxt;
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    val crits = [(true, Find_Theorems.Solves)];
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    fun find g =
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      snd (Find_Theorems.find_theorems find_ctxt (SOME g) (SOME (! max_solutions)) false crits);
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    fun prt_result (goal, results) =
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      let
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        val msg =
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          (if mode = Auto_Try then "Auto " else "") ^ solve_directN ^ ": " ^
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          (case goal of
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            NONE => "The current goal"
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          | SOME sg => Syntax.string_of_term ctxt (Thm.term_of sg));
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      in
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        Pretty.big_list
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          (msg ^ " can be solved directly with")
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          (map (Find_Theorems.pretty_thm ctxt) results)
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      end;
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    fun seek_against_goal () =
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      (case try Proof.simple_goal state of
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        NONE => NONE
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      | SOME {goal = st, ...} =>
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          let
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            val subgoals = Drule.strip_imp_prems (Thm.cprop_of st);
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            val rs =
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              if length subgoals = 1
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              then [(NONE, find st)]
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              else map (fn sg => (SOME sg, find (Goal.init sg))) subgoals;
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            val results = filter_out (null o snd) rs;
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          in if null results then NONE else SOME results end);
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    fun message results = separate (Pretty.brk 0) (map prt_result results);
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  in
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    (case try seek_against_goal () of
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      SOME (SOME results) =>
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        (someN,
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          let val msg = Pretty.string_of (Pretty.chunks (message results))
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          in if mode = Auto_Try then [msg] else (writeln msg; []) end)
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    | SOME NONE =>
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        (if mode = Normal then writeln "No proof found."
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         else ();
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         (noneN, []))
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    | NONE =>
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        (if mode = Normal then writeln "An error occurred."
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         else ();
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         (unknownN, [])))
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  end
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  |> `(fn (outcome_code, _) => outcome_code = someN);
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val solve_direct = do_solve_direct Normal
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val _ =
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  Outer_Syntax.command @{command_keyword solve_direct}
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    "try to solve conjectures directly with existing theorems"
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    (Scan.succeed (Toplevel.keep_proof (ignore o solve_direct o Toplevel.proof_of)));
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(* hook *)
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fun try_solve_direct auto = do_solve_direct (if auto then Auto_Try else Try)
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val _ = Try.tool_setup (solve_directN, (10, @{system_option auto_solve_direct}, try_solve_direct));
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end;