src/HOL/Tools/Sledgehammer/sledgehammer_run.ML

use strings to encode type systems in ATP module, to reduce the amount of out-of-place information and also to make it easier to print the type system used

(*  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 params = Sledgehammer_Provers.params
  type prover = Sledgehammer_Provers.prover

  val auto_minimize_min_facts : int Unsynchronized.ref
  val get_minimizing_prover : Proof.context -> bool -> string -> prover
  val run_sledgehammer :
    params -> bool -> int -> relevance_override -> (string -> minimize_command)
    -> Proof.state -> bool * Proof.state
end;

structure Sledgehammer_Run : SLEDGEHAMMER_RUN =
struct

open Sledgehammer_Util
open Sledgehammer_Filter
open Sledgehammer_ATP_Translate
open Sledgehammer_Provers
open Sledgehammer_Minimize

fun prover_description ctxt ({verbose, blocking, ...} : params) name num_facts i
                       n goal =
  quote 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 = Unsynchronized.ref (!binary_min_facts)

fun get_minimizing_prover ctxt auto name
        (params as {debug, verbose, explicit_apply, ...}) minimize_command
        (problem as {state, subgoal, subgoal_count, facts, ...}) =
  get_prover ctxt auto name params minimize_command problem
  |> (fn result as {outcome, used_facts, run_time_in_msecs, message} =>
         if is_some outcome then
           result
         else
           let
             val (used_facts, message) =
               if length used_facts >= !auto_minimize_min_facts then
                 minimize_facts 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, 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, message = message})
             | NONE => result
           end)

fun launch_prover (params as {debug, blocking, max_relevant, slicing, timeout,
                              expect, ...})
        auto minimize_command only
        {state, goal, subgoal, subgoal_count, facts, smt_filter} name =
  let
    val ctxt = Proof.context_of state
    val birth_time = Time.now ()
    val death_time = Time.+ (birth_time, 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
    val 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 = take num_facts facts,
       smt_filter = smt_filter}
    fun really_go () =
      problem
      |> get_minimizing_prover ctxt auto name params (minimize_command name)
      |> (fn {outcome, message, ...} =>
             (if is_some outcome then "none" else "some" (* sic *), message))
    fun go () =
      let
        val (outcome_code, message) =
          if debug then
            really_go ()
          else
            (really_go ()
             handle ERROR message => ("unknown", "Error: " ^ message ^ "\n")
                  | exn =>
                    if Exn.is_interrupt exn then
                      reraise exn
                    else
                      ("unknown", "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 = "some", message) end
  in
    if auto then
      let val (success, message) = TimeLimit.timeLimit timeout go () in
        (success, state |> success ? Proof.goal_message (fn () =>
             Pretty.chunks [Pretty.str "",
                            Pretty.mark Markup.hilite (Pretty.str message)]))
      end
    else if blocking then
      let val (success, message) = TimeLimit.timeLimit timeout go () in
        List.app Output.urgent_message
                 (Async_Manager.break_into_chunks [desc ^ "\n" ^ message]);
        (success, state)
      end
    else
      (Async_Manager.launch das_Tool birth_time death_time desc (snd o go);
       (false, 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 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_max_relevant_divisor = 2 (* FUDGE *)

fun run_sledgehammer (params as {debug, blocking, provers, type_sys,
                                 relevance_thresholds, max_relevant, slicing,
                                 timeout, ...})
        auto 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, state))
  | n =>
    let
      val _ = Proof.assert_backward state
      val print = if auto then K () else Output.urgent_message
      val state =
        state |> Proof.map_context (Config.put SMT_Config.verbose debug)
      val ctxt = Proof.context_of state
      val thy = Proof_Context.theory_of ctxt
      val {facts = chained_ths, goal, ...} = Proof.goal state
      val (_, hyp_ts, concl_t) = strip_subgoal goal i
      val fairly_sound = is_rich_type_sys_fairly_sound type_sys
      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, atps) = provers |> List.partition (is_smt_prover 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 auto minimize_command only
        in
          if auto then
            fold (fn prover => fn (true, state) => (true, state)
                                | (false, _) => launch problem prover)
                 provers (false, state)
          else
            provers
            |> (if blocking then smart_par_list_map else map) (launch problem)
            |> exists fst |> rpair state
        end
      fun get_facts label fairly_sound 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
                |> auto ? (fn n => n div auto_max_relevant_divisor)
          val is_built_in_const =
            is_built_in_const_for_prover ctxt (hd provers)
        in
          relevant_facts ctxt fairly_sound relevance_thresholds max_max_relevant
                         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 accum =
        if null atps then
          accum
        else
          launch_provers state
              (get_facts "ATP" fairly_sound 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" true smt_relevance_fudge smts
            val weight = SMT_Weighted_Fact oo weight_smt_fact thy
            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 (launch_provers state (K facts) weight smt_filter o snd)
                 |> exists fst |> rpair state
          end
      fun launch_atps_and_smt_solvers () =
        [launch_atps, launch_smts]
        |> smart_par_list_map (fn f => f (false, state) |> K ())
        handle ERROR msg => (print ("Error: " ^ msg); error msg)
    in
      (false, state)
      |> (if blocking then launch_atps #> not auto ? launch_smts
          else (fn p => Future.fork (tap launch_atps_and_smt_solvers) |> K p))
      handle TimeLimit.TimeOut =>
             (print "Sledgehammer ran out of time."; (false, state))
    end

end;