src/HOL/Tools/Sledgehammer/sledgehammer_run.ML

automatically minimize with Metis when this can be done within a few seconds

(*  Title:      HOL/Tools/Sledgehammer/sledgehammer_run.ML
    Author:     Fabian Immler, TU Muenchen
    Author:     Makarius
    Author:     Jasmin Blanchette, TU Muenchen

Sledgehammer's heart.
*)

signature SLEDGEHAMMER_RUN =
sig
  type relevance_override = Sledgehammer_Filter.relevance_override
  type minimize_command = Sledgehammer_ATP_Reconstruct.minimize_command
  type mode = Sledgehammer_Provers.mode
  type params = Sledgehammer_Provers.params
  type prover = Sledgehammer_Provers.prover

  val someN : string
  val noneN : string
  val timeoutN : string
  val unknownN : string
  val auto_minimize_min_facts : int Config.T
  val get_minimizing_prover : Proof.context -> mode -> string -> prover
  val run_sledgehammer :
    params -> mode -> int -> relevance_override -> (string -> minimize_command)
    -> Proof.state -> bool * (string * Proof.state)
end;

structure Sledgehammer_Run : SLEDGEHAMMER_RUN =
struct

open Sledgehammer_Util
open Sledgehammer_Filter
open Sledgehammer_ATP_Translate
open Sledgehammer_ATP_Reconstruct
open Sledgehammer_Provers
open Sledgehammer_Minimize

val someN = "some"
val noneN = "none"
val timeoutN = "timeout"
val unknownN = "unknown"

val ordered_outcome_codes = [someN, unknownN, timeoutN, noneN]

fun max_outcome_code codes =
  NONE
  |> fold (fn candidate =>
              fn accum as SOME _ => accum
               | NONE => if member (op =) codes candidate then SOME candidate
                         else NONE)
          ordered_outcome_codes
  |> the_default unknownN

fun prover_description ctxt ({verbose, blocking, ...} : params) name num_facts i
                       n goal =
  (name,
   (if verbose then
      " with " ^ string_of_int num_facts ^ " fact" ^ plural_s num_facts
    else
      "") ^
   " on " ^ (if n = 1 then "goal" else "subgoal " ^ string_of_int i) ^
   (if blocking then
      "."
    else
      "\n" ^ Syntax.string_of_term ctxt (Thm.term_of (Thm.cprem_of goal i))))

val auto_minimize_min_facts =
  Attrib.setup_config_int @{binding sledgehammer_auto_minimize_min_facts}
      (fn generic => Config.get_generic generic binary_min_facts)

val auto_minimize_max_seconds =
  Attrib.setup_config_real @{binding sledgehammer_auto_minimize_max_seconds}
      (K 5.0)

fun get_minimizing_prover ctxt mode name
        (params as {debug, verbose, explicit_apply, ...}) minimize_command
        (problem as {state, subgoal, subgoal_count, facts, ...}) =
  get_prover ctxt mode name params minimize_command problem
  |> (fn result as {outcome, used_facts, run_time_in_msecs, preplay, message} =>
         if is_some outcome then
           result
         else
           let
             val num_facts = length used_facts
             val ((minimize, minimize_name), preplay) =
               if mode = Normal then
                 if num_facts >= Config.get ctxt auto_minimize_min_facts then
                   ((true, name), preplay)
                 else
                   let val preplay = preplay () in
                     (case preplay of
                        Played (reconstructor, timeout) =>
                        (0.001 * Real.fromInt ((num_facts + 2)
                                               * Time.toMilliseconds timeout)
                        <= Config.get ctxt auto_minimize_max_seconds,
                        reconstructor_name reconstructor)
                      | _ => (false, name), K preplay)
                   end
               else
                 ((false, name), preplay)
             val (used_facts, (preplay, message)) =
               if minimize then
                 minimize_facts minimize_name params (SOME explicit_apply)
                     (not verbose) subgoal subgoal_count state
                     (filter_used_facts used_facts
                          (map (apsnd single o untranslated_fact) facts))
                 |>> Option.map (map fst)
               else
                 (SOME used_facts, (preplay, message))
           in
             case used_facts of
               SOME used_facts =>
               (if debug andalso not (null used_facts) then
                  facts ~~ (0 upto length facts - 1)
                  |> map (fn (fact, j) =>
                             fact |> untranslated_fact |> apsnd (K j))
                  |> filter_used_facts used_facts
                  |> map (fn ((name, _), j) => name ^ "@" ^ string_of_int j)
                  |> commas
                  |> enclose ("Fact" ^ plural_s (length facts) ^ " in " ^
                              quote name ^ " proof (of " ^
                              string_of_int (length facts) ^ "): ") "."
                  |> Output.urgent_message
                else
                  ();
                {outcome = NONE, used_facts = used_facts,
                 run_time_in_msecs = run_time_in_msecs, preplay = preplay,
                 message = message})
             | NONE => result
           end)

fun launch_prover (params as {debug, blocking, max_relevant, slicing, timeout,
                              expect, ...})
        mode minimize_command only
        {state, goal, subgoal, subgoal_count, facts, smt_filter} name =
  let
    val ctxt = Proof.context_of state
    val hard_timeout = Time.+ (timeout, timeout)
    val birth_time = Time.now ()
    val death_time = Time.+ (birth_time, hard_timeout)
    val max_relevant =
      max_relevant
      |> the_default (default_max_relevant_for_prover ctxt slicing name)
    val num_facts = length facts |> not only ? Integer.min max_relevant
    fun desc () =
      prover_description ctxt params name num_facts subgoal subgoal_count goal
    val problem =
      {state = state, goal = goal, subgoal = subgoal,
       subgoal_count = subgoal_count, facts = facts |> take num_facts,
       smt_filter = smt_filter}
    fun really_go () =
      problem
      |> get_minimizing_prover ctxt mode name params minimize_command
      |> (fn {outcome, preplay, message, ...} =>
             (if outcome = SOME ATP_Proof.TimedOut then timeoutN
              else if is_some outcome then noneN
              else someN, message o preplay))
    fun go () =
      let
        val (outcome_code, message) =
          if debug then
            really_go ()
          else
            (really_go ()
             handle ERROR msg => (unknownN, fn () => "Error: " ^ msg ^ "\n")
                  | exn =>
                    if Exn.is_interrupt exn then
                      reraise exn
                    else
                      (unknownN, fn () => "Internal error:\n" ^
                                          ML_Compiler.exn_message exn ^ "\n"))
        val _ =
          (* The "expect" argument is deliberately ignored if the prover is
             missing so that the "Metis_Examples" can be processed on any
             machine. *)
          if expect = "" orelse outcome_code = expect orelse
             not (is_prover_installed ctxt name) then
            ()
          else if blocking then
            error ("Unexpected outcome: " ^ quote outcome_code ^ ".")
          else
            warning ("Unexpected outcome: " ^ quote outcome_code ^ ".");
      in (outcome_code, message) end
  in
    if mode = Auto_Try then
      let val (outcome_code, message) = TimeLimit.timeLimit timeout go () in
        (outcome_code,
         state
         |> outcome_code = someN
            ? Proof.goal_message (fn () =>
                  [Pretty.str "",
                   Pretty.mark Markup.hilite (Pretty.str (message ()))]
                  |> Pretty.chunks))
      end
    else if blocking then
      let
        val (outcome_code, message) = TimeLimit.timeLimit hard_timeout go ()
      in
        (if outcome_code = someN then message ()
         else if mode = Normal then quote name ^ ": " ^ message ()
         else "")
        |> Async_Manager.break_into_chunks
        |> List.app Output.urgent_message;
        (outcome_code, state)
      end
    else
      (Async_Manager.launch das_tool birth_time death_time (desc ())
                            ((fn (outcome_code, message) =>
                                 (outcome_code = someN, message ())) o go);
       (unknownN, state))
  end

fun class_of_smt_solver ctxt name =
  ctxt |> select_smt_solver name
       |> SMT_Config.solver_class_of |> SMT_Utils.string_of_class

(* Makes backtraces more transparent and might well be more efficient as
   well. *)
fun smart_par_list_map _ [] = []
  | smart_par_list_map f [x] = [f x]
  | smart_par_list_map f xs = Par_List.map f xs

fun dest_SMT_Weighted_Fact (SMT_Weighted_Fact p) = p
  | dest_SMT_Weighted_Fact _ = raise Fail "dest_SMT_Weighted_Fact"

val auto_try_max_relevant_divisor = 2 (* FUDGE *)

fun run_sledgehammer (params as {debug, verbose, blocking, provers,
                                 relevance_thresholds, max_relevant, slicing,
                                 timeout, ...})
        mode i (relevance_override as {only, ...}) minimize_command state =
  if null provers then
    error "No prover is set."
  else case subgoal_count state of
    0 => (Output.urgent_message "No subgoal!"; (false, (noneN, state)))
  | n =>
    let
      val _ = Proof.assert_backward state
      val print = if mode = Normal then Output.urgent_message else K ()
      val state =
        state |> Proof.map_context (Config.put SMT_Config.verbose debug)
      val ctxt = Proof.context_of state
      val {facts = chained_ths, goal, ...} = Proof.goal state
      val chained_ths = chained_ths |> normalize_chained_theorems
      val (_, hyp_ts, concl_t) = strip_subgoal ctxt goal i
      val _ = () |> not blocking ? kill_provers
      val _ = case find_first (not o is_prover_supported ctxt) provers of
                SOME name => error ("No such prover: " ^ name ^ ".")
              | NONE => ()
      val _ = print "Sledgehammering..."
      val (smts, (ueq_atps, full_atps)) =
        provers |> List.partition (is_smt_prover ctxt)
                ||> List.partition (is_unit_equational_atp ctxt)
      fun launch_provers state get_facts translate maybe_smt_filter provers =
        let
          val facts = get_facts ()
          val num_facts = length facts
          val facts = facts ~~ (0 upto num_facts - 1)
                      |> map (translate num_facts)
          val problem =
            {state = state, goal = goal, subgoal = i, subgoal_count = n,
             facts = facts,
             smt_filter = maybe_smt_filter
                  (fn () => map_filter (try dest_SMT_Weighted_Fact) facts) i}
          val launch = launch_prover params mode minimize_command only
        in
          if mode = Auto_Try orelse mode = Try then
            (unknownN, state)
            |> fold (fn prover => fn accum as (outcome_code, _) =>
                        if outcome_code = someN then accum
                        else launch problem prover)
                    provers
          else
            provers
            |> (if blocking then smart_par_list_map else map)
                   (launch problem #> fst)
            |> max_outcome_code |> rpair state
        end
      fun get_facts label is_appropriate_prop relevance_fudge provers =
        let
          val max_max_relevant =
            case max_relevant of
              SOME n => n
            | NONE =>
              0 |> fold (Integer.max
                         o default_max_relevant_for_prover ctxt slicing)
                        provers
                |> mode = Auto_Try
                   ? (fn n => n div auto_try_max_relevant_divisor)
          val is_built_in_const =
            is_built_in_const_for_prover ctxt (hd provers)
        in
          relevant_facts ctxt relevance_thresholds max_max_relevant
                         is_appropriate_prop is_built_in_const relevance_fudge
                         relevance_override chained_ths hyp_ts concl_t
          |> tap (fn facts =>
                     if debug then
                       label ^ plural_s (length provers) ^ ": " ^
                       (if null facts then
                          "Found no relevant facts."
                        else
                          "Including (up to) " ^ string_of_int (length facts) ^
                          " relevant fact" ^ plural_s (length facts) ^ ":\n" ^
                          (facts |> map (fst o fst) |> space_implode " ") ^ ".")
                       |> print
                     else
                       ())
        end
      fun launch_atps label is_appropriate_prop atps accum =
        if null atps then
          accum
        else if not (is_appropriate_prop concl_t) then
          (if verbose orelse length atps = length provers then
             "Goal outside the scope of " ^
             space_implode " " (serial_commas "and" (map quote atps)) ^ "."
             |> Output.urgent_message
           else
             ();
           accum)
        else
          launch_provers state
              (get_facts label is_appropriate_prop atp_relevance_fudge o K atps)
              (K (Untranslated_Fact o fst)) (K (K NONE)) atps
      fun launch_smts accum =
        if null smts then
          accum
        else
          let
            val facts = get_facts "SMT solver" (K true) smt_relevance_fudge smts
            val weight = SMT_Weighted_Fact oo weight_smt_fact ctxt
            fun smt_filter facts =
              (if debug then curry (op o) SOME
               else TimeLimit.timeLimit timeout o try)
                  (SMT_Solver.smt_filter_preprocess state (facts ()))
          in
            smts |> map (`(class_of_smt_solver ctxt))
                 |> AList.group (op =)
                 |> map (snd #> launch_provers state (K facts) weight smt_filter
                             #> fst)
                 |> max_outcome_code |> rpair state
          end
      val launch_full_atps = launch_atps "ATP" (K true) full_atps
      val launch_ueq_atps =
        launch_atps "Unit equational provers" is_unit_equality ueq_atps
      fun launch_atps_and_smt_solvers () =
        [launch_full_atps, launch_smts, launch_ueq_atps]
        |> smart_par_list_map (fn f => ignore (f (unknownN, state)))
        handle ERROR msg => (print ("Error: " ^ msg); error msg)
      fun maybe f (accum as (outcome_code, _)) =
        accum |> (mode = Normal orelse outcome_code <> someN) ? f
    in
      (unknownN, state)
      |> (if blocking then
            launch_full_atps
            #> mode <> Auto_Try ? (maybe launch_ueq_atps #> maybe launch_smts)
          else
            (fn p => Future.fork (tap launch_atps_and_smt_solvers) |> K p))
      handle TimeLimit.TimeOut =>
             (print "Sledgehammer ran out of time."; (unknownN, state))
    end
    |> `(fn (outcome_code, _) => outcome_code = someN)

end;