(*  Title:      HOL/Tools/Sledgehammer/sledgehammer_isar.ML

    Author:     Jasmin Blanchette, TU Muenchen

Adds "sledgehammer" and related commands to Isabelle/Isar's outer syntax.

*)

signature SLEDGEHAMMER_ISAR =

sig

  type params = Sledgehammer_Provers.params

  val sledgehammerN : string

  val auto : bool Unsynchronized.ref

  val provers : string Unsynchronized.ref

  val timeout : int Unsynchronized.ref

  val full_types : bool Unsynchronized.ref

  val default_params : Proof.context -> (string * string) list -> params

  val setup : theory -> theory

end;

structure Sledgehammer_Isar : SLEDGEHAMMER_ISAR =

struct

open ATP_Systems

open Sledgehammer_Util

open Sledgehammer_ATP_Translate

open Sledgehammer_Provers

open Sledgehammer_Minimize

open Sledgehammer_Run

val sledgehammerN = "sledgehammer"

val sledgehammer_paramsN = "sledgehammer_params"

val runN = "run"

val minN = "min"

val messagesN = "messages"

val supported_proversN = "supported_provers"

val running_proversN = "running_provers"

val kill_proversN = "kill_provers"

val refresh_tptpN = "refresh_tptp"

val auto = Unsynchronized.ref false

val _ =

  ProofGeneralPgip.add_preference Preferences.category_tracing

      (Preferences.bool_pref auto "auto-sledgehammer"

           "Run Sledgehammer automatically.")

(** Sledgehammer commands **)

val no_relevance_override = {add = [], del = [], only = false}

fun add_relevance_override ns : relevance_override =

  {add = ns, del = [], only = false}

fun del_relevance_override ns : relevance_override =

  {add = [], del = ns, only = false}

fun only_relevance_override ns : relevance_override =

  {add = ns, del = [], only = true}

fun merge_relevance_override_pairwise (r1 : relevance_override)

                                      (r2 : relevance_override) =

  {add = #add r1 @ #add r2, del = #del r1 @ #del r2,

   only = #only r1 andalso #only r2}

fun merge_relevance_overrides rs =

  fold merge_relevance_override_pairwise rs (only_relevance_override [])

(*** parameters ***)

val provers = Unsynchronized.ref ""

val timeout = Unsynchronized.ref 30

val full_types = Unsynchronized.ref false

val _ =

  ProofGeneralPgip.add_preference Preferences.category_proof

      (Preferences.string_pref provers

          "Sledgehammer: Provers"

          "Default automatic provers (separated by whitespace)")

val _ =

  ProofGeneralPgip.add_preference Preferences.category_proof

      (Preferences.int_pref timeout

          "Sledgehammer: Time Limit"

          "ATPs will be interrupted after this time (in seconds)")

val _ =

  ProofGeneralPgip.add_preference Preferences.category_proof

      (Preferences.bool_pref full_types

          "Sledgehammer: Full Types" "ATPs will use full type information")

type raw_param = string * string list

val default_default_params =

  [("debug", "false"),

   ("verbose", "false"),

   ("overlord", "false"),

   ("blocking", "false"),

   ("type_sys", "smart"),

   ("relevance_thresholds", "0.45 0.85"),

   ("max_relevant", "smart"),

   ("max_mono_iters", "3"),

   ("max_new_mono_instances", "400"),

   ("explicit_apply", "smart"),

   ("isar_proof", "false"),

   ("isar_shrink_factor", "1"),

   ("slicing", "true"),

   ("preplay_timeout", "4")]

val alias_params =

  [("prover", "provers"),

   ("atps", "provers"), (* FIXME: legacy *)

   ("atp", "provers")]  (* FIXME: legacy *)

val negated_alias_params =

  [("no_debug", "debug"),

   ("quiet", "verbose"),

   ("no_overlord", "overlord"),

   ("non_blocking", "blocking"),

   ("partial_types", "full_types"),

   ("implicit_apply", "explicit_apply"),

   ("no_isar_proof", "isar_proof"),

   ("no_slicing", "slicing")]

val params_for_minimize =

  ["debug", "verbose", "overlord", "type_sys", "full_types", "max_mono_iters",

   "max_new_mono_instances", "explicit_apply", "isar_proof",

   "isar_shrink_factor", "timeout", "preplay_timeout"]

val property_dependent_params = ["provers", "full_types", "timeout"]

fun is_known_raw_param s =

  AList.defined (op =) default_default_params s orelse

  AList.defined (op =) alias_params s orelse

  AList.defined (op =) negated_alias_params s orelse

  member (op =) property_dependent_params s orelse s = "expect"

fun is_prover_list ctxt s =

  case space_explode " " s of

    ss as _ :: _ => forall (is_prover_supported ctxt) ss

  | _ => false

(* Secret feature: "provers =" and "type_sys =" can be left out. *)

fun check_and_repair_raw_param ctxt (name, value) =

  if is_known_raw_param name then

    (name, value)

  else if is_prover_list ctxt name andalso null value then

    ("provers", [name])

  else if can type_sys_from_string name andalso null value then

    ("type_sys", [name])

  else

    error ("Unknown parameter: " ^ quote name ^ ".")

fun unalias_raw_param (name, value) =

  case AList.lookup (op =) alias_params name of

    SOME name' => (name', value)

  | NONE =>

    case AList.lookup (op =) negated_alias_params name of

      SOME name' => (name', case value of

                              ["false"] => ["true"]

                            | ["true"] => ["false"]

                            | [] => ["false"]

                            | _ => value)

    | NONE => (name, value)

(* Ensure that type systems such as "simple!" and "mangled_preds?" are handled

   correctly. *)

fun implode_param [s, "?"] = s ^ "?"

  | implode_param [s, "!"] = s ^ "!"

  | implode_param ss = space_implode " " ss

structure Data = Theory_Data

(

  type T = raw_param list

  val empty = default_default_params |> map (apsnd single)

  val extend = I

  fun merge data : T = AList.merge (op =) (K true) data

)

fun remotify_prover_if_supported_and_not_already_remote ctxt name =

  if String.isPrefix remote_prefix name then

    SOME name

  else

    let val remote_name = remote_prefix ^ name in

      if is_prover_supported ctxt remote_name then SOME remote_name else NONE

    end

fun remotify_prover_if_not_installed ctxt name =

  if is_prover_supported ctxt name andalso is_prover_installed ctxt name then

    SOME name

  else

    remotify_prover_if_supported_and_not_already_remote ctxt name

fun avoid_too_many_threads _ _ [] = []

  | avoid_too_many_threads _ (0, 0) _ = []

  | avoid_too_many_threads ctxt (0, max_remote) provers =

    provers

    |> map_filter (remotify_prover_if_supported_and_not_already_remote ctxt)

    |> take max_remote

  | avoid_too_many_threads _ (max_local, 0) provers =

    provers

    |> filter_out (String.isPrefix remote_prefix)

    |> take max_local

  | avoid_too_many_threads ctxt max_local_and_remote (prover :: provers) =

    let

      val max_local_and_remote =

        max_local_and_remote

        |> (if String.isPrefix remote_prefix prover then apsnd else apfst)

              (Integer.add ~1)

    in prover :: avoid_too_many_threads ctxt max_local_and_remote provers end

val max_default_remote_threads = 4

(* The first ATP of the list is used by Auto Sledgehammer. Because of the low

   timeout, it makes sense to put SPASS first. *)

fun default_provers_param_value ctxt =

  [spassN, eN, vampireN, SMT_Solver.solver_name_of ctxt, sine_eN, waldmeisterN]

  |> map_filter (remotify_prover_if_not_installed ctxt)

  |> avoid_too_many_threads ctxt (Multithreading.max_threads_value (),

                                  max_default_remote_threads)

  |> implode_param

val set_default_raw_param = Data.map o AList.update (op =) o unalias_raw_param

fun default_raw_params ctxt =

  let val thy = Proof_Context.theory_of ctxt in

    Data.get thy

    |> fold (AList.default (op =))

            [("provers", [case !provers of

                            "" => default_provers_param_value ctxt

                          | s => s]),

             ("full_types", [if !full_types then "true" else "false"]),

             ("timeout", let val timeout = !timeout in

                           [if timeout <= 0 then "none"

                            else string_of_int timeout]

                         end)]

  end

val infinity_time_in_secs = 60 * 60 * 24 * 365

val the_timeout = the_default (Time.fromSeconds infinity_time_in_secs)

fun extract_params mode default_params override_params =

  let

    val override_params = map unalias_raw_param override_params

    val raw_params = rev override_params @ rev default_params

    val lookup = Option.map implode_param o AList.lookup (op =) raw_params

    val lookup_string = the_default "" o lookup

    fun general_lookup_bool option default_value name =

      case lookup name of

        SOME s => parse_bool_option option name s

      | NONE => default_value

    val lookup_bool = the o general_lookup_bool false (SOME false)

    fun lookup_time name =

      case lookup name of

        SOME s => parse_time_option name s

      | NONE => NONE

    fun lookup_int name =

      case lookup name of

        NONE => 0

      | SOME s => case Int.fromString s of

                    SOME n => n

                  | NONE => error ("Parameter " ^ quote name ^

                                   " must be assigned an integer value.")

    fun lookup_real_pair name =

      case lookup name of

        NONE => (0.0, 0.0)

      | SOME s => case s |> space_explode " " |> map Real.fromString of

                    [SOME r1, SOME r2] => (r1, r2)

                  | _ => error ("Parameter " ^ quote name ^

                                "must be assigned a pair of floating-point \

                                \values (e.g., \"0.6 0.95\")")

    fun lookup_option lookup' name =

      case lookup name of

        SOME "smart" => NONE

      | _ => SOME (lookup' name)

    val debug = mode <> Auto_Try andalso lookup_bool "debug"

    val verbose = debug orelse (mode <> Auto_Try andalso lookup_bool "verbose")

    val overlord = lookup_bool "overlord"

    val blocking =

      Isabelle_Process.is_active () orelse mode <> Normal orelse debug orelse

      lookup_bool "blocking"

    val provers = lookup_string "provers" |> space_explode " "

                  |> mode = Auto_Try ? single o hd

    val type_sys =

      if mode = Auto_Try then

        Smart_Type_Sys true

      else case lookup_string "type_sys" of

        "smart" => Smart_Type_Sys (mode = Try orelse lookup_bool "full_types")

      | s => Dumb_Type_Sys (type_sys_from_string s)

    val relevance_thresholds = lookup_real_pair "relevance_thresholds"

    val max_relevant = lookup_option lookup_int "max_relevant"

    val max_mono_iters = lookup_int "max_mono_iters"

    val max_new_mono_instances = lookup_int "max_new_mono_instances"

    val explicit_apply = lookup_option lookup_bool "explicit_apply"

    val isar_proof = lookup_bool "isar_proof"

    val isar_shrink_factor = Int.max (1, lookup_int "isar_shrink_factor")

    val slicing = mode <> Auto_Try andalso lookup_bool "slicing"

    val timeout =

      (if mode = Auto_Try then NONE else lookup_time "timeout") |> the_timeout

    val preplay_timeout =

      if mode = Auto_Try then Time.zeroTime

      else lookup_time "preplay_timeout" |> the_timeout

    val expect = lookup_string "expect"

  in

    {debug = debug, verbose = verbose, overlord = overlord, blocking = blocking,

     provers = provers, relevance_thresholds = relevance_thresholds,

     max_relevant = max_relevant, max_mono_iters = max_mono_iters,

     max_new_mono_instances = max_new_mono_instances, type_sys = type_sys,

     explicit_apply = explicit_apply, isar_proof = isar_proof,

     isar_shrink_factor = isar_shrink_factor, slicing = slicing,

     timeout = timeout, preplay_timeout = preplay_timeout, expect = expect}

  end

fun get_params mode ctxt = extract_params mode (default_raw_params ctxt)

fun default_params thy = get_params Normal thy o map (apsnd single)

(* Sledgehammer the given subgoal *)

val default_minimize_prover = Metis_Tactics.metisN

val is_raw_param_relevant_for_minimize =

  member (op =) params_for_minimize o fst o unalias_raw_param

fun string_for_raw_param (key, values) =

  key ^ (case implode_param values of "" => "" | value => " = " ^ value)

fun minimize_command override_params i prover_name fact_names =

  let

    val params =

      override_params

      |> filter is_raw_param_relevant_for_minimize

      |> map string_for_raw_param

      |> (if prover_name = default_minimize_prover then I else cons prover_name)

      |> space_implode ", "

  in

    sledgehammerN ^ " " ^ minN ^

    (if params = "" then "" else enclose " [" "]" params) ^

    " (" ^ space_implode " " fact_names ^ ")" ^

    (if i = 1 then "" else " " ^ string_of_int i)

  end

fun hammer_away override_params subcommand opt_i relevance_override state =

  let

    val ctxt = Proof.context_of state

    val override_params =

      override_params |> map (check_and_repair_raw_param ctxt)

  in

    if subcommand = runN then

      let val i = the_default 1 opt_i in

        run_sledgehammer (get_params Normal ctxt override_params) Normal i

                         relevance_override (minimize_command override_params i)

                         state

        |> K ()

      end

    else if subcommand = minN then

      run_minimize (get_params Minimize ctxt

                               (("provers", [default_minimize_prover]) ::

                                override_params))

                   (the_default 1 opt_i) (#add relevance_override) state

    else if subcommand = messagesN then

      messages opt_i

    else if subcommand = supported_proversN then

      supported_provers ctxt

    else if subcommand = running_proversN then

      running_provers ()

    else if subcommand = kill_proversN then

      kill_provers ()

    else if subcommand = refresh_tptpN then

      refresh_systems_on_tptp ()

    else

      error ("Unknown subcommand: " ^ quote subcommand ^ ".")

  end

fun sledgehammer_trans (((subcommand, params), relevance_override), opt_i) =

  Toplevel.keep (hammer_away params subcommand opt_i relevance_override

                 o Toplevel.proof_of)

fun string_for_raw_param (name, value) = name ^ " = " ^ implode_param value

fun sledgehammer_params_trans params =

  Toplevel.theory

      (fold set_default_raw_param params

       #> tap (fn thy =>

                  let val ctxt = Proof_Context.init_global thy in

                    writeln ("Default parameters for Sledgehammer:\n" ^

                             (case default_raw_params ctxt |> rev of

                                [] => "none"

                              | params =>

                                params |> map (check_and_repair_raw_param ctxt)

                                       |> map string_for_raw_param

                                       |> sort_strings |> cat_lines))

                  end))

val parse_key =

  Scan.repeat1 (Parse.typ_group || Parse.$$$ "?" || Parse.$$$ "!")

               >> implode_param

val parse_value =

  Scan.repeat1 (Parse.xname || Parse.float_number || Parse.$$$ "?"

                || Parse.$$$ "!")

val parse_param = parse_key -- Scan.optional (Parse.$$$ "=" |-- parse_value) []

val parse_params = Scan.optional (Args.bracks (Parse.list parse_param)) []

val parse_fact_refs =

  Scan.repeat1 (Scan.unless (Parse.name -- Args.colon) Parse_Spec.xthm)

val parse_relevance_chunk =

  (Args.add |-- Args.colon |-- parse_fact_refs >> add_relevance_override)

  || (Args.del |-- Args.colon |-- parse_fact_refs >> del_relevance_override)

  || (parse_fact_refs >> only_relevance_override)

val parse_relevance_override =

  Scan.optional (Args.parens (Scan.repeat parse_relevance_chunk

                              >> merge_relevance_overrides))

                no_relevance_override

val parse_sledgehammer_command =

  (Scan.optional Parse.short_ident runN -- parse_params

   -- parse_relevance_override -- Scan.option Parse.nat) #>> sledgehammer_trans

val parse_sledgehammer_params_command =

  parse_params #>> sledgehammer_params_trans

val _ =

  Outer_Syntax.improper_command sledgehammerN

      "search for first-order proof using automatic theorem provers" Keyword.diag

      parse_sledgehammer_command

val _ =

  Outer_Syntax.command sledgehammer_paramsN

      "set and display the default parameters for Sledgehammer" Keyword.thy_decl

      parse_sledgehammer_params_command

fun try_sledgehammer auto state =

  let

    val ctxt = Proof.context_of state

    val mode = if auto then Auto_Try else Try

    val i = 1

  in

    run_sledgehammer (get_params mode ctxt []) mode i no_relevance_override

                     (minimize_command [] i) state

  end

val setup = Try.register_tool (sledgehammerN, (40, auto, try_sledgehammer))

end;