(*  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 = ATP_Manager.params

  val atps: string Unsynchronized.ref

  val timeout: int Unsynchronized.ref

  val full_types: bool Unsynchronized.ref

  val default_params : theory -> (string * string) list -> params

  val setup: theory -> theory

end;

structure Sledgehammer_Isar : SLEDGEHAMMER_ISAR =

struct

open Sledgehammer_Util

open Sledgehammer_Fact_Preprocessor

open ATP_Manager

open ATP_Systems

open Sledgehammer_Fact_Minimizer

structure K = OuterKeyword and P = OuterParse

(** Proof method used in Isar proofs **)

val neg_clausify_setup =

  Method.setup @{binding neg_clausify}

               (Scan.succeed (SIMPLE_METHOD' o neg_clausify_tac))

               "conversion of goal to negated conjecture clauses"

val parse_clausify_attribute =

  Scan.lift OuterParse.nat

  >> (fn i => Thm.rule_attribute (fn context => fn th =>

                  let val thy = Context.theory_of context in

                    Meson.make_meta_clause (nth (cnf_axiom thy th) i)

                  end))

(** Attribute for converting a theorem into clauses **)

val clausify_setup =

  Attrib.setup @{binding clausify} parse_clausify_attribute

               "conversion of theorem to clauses"

(** Sledgehammer commands **)

fun add_to_relevance_override ns : relevance_override =

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

fun del_from_relevance_override ns : relevance_override =

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

fun only_relevance_override ns : relevance_override =

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

val no_relevance_override = add_to_relevance_override []

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 atps = Unsynchronized.ref (default_atps_param_value ())

val timeout = Unsynchronized.ref 60

val full_types = Unsynchronized.ref false

val _ =

  ProofGeneralPgip.add_preference Preferences.category_proof

      (Preferences.string_pref atps

          "Sledgehammer: ATPs"

          "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"),

   ("explicit_apply", "false"),

   ("respect_no_atp", "true"),

   ("relevance_threshold", "50"),

   ("convergence", "320"),

   ("theory_relevant", "smart"),

   ("higher_order", "smart"),

   ("follow_defs", "false"),

   ("isar_proof", "false"),

   ("modulus", "1"),

   ("sorts", "false"),

   ("minimize_timeout", "5 s")]

val alias_params =

  [("atp", "atps")]

val negated_alias_params =

  [("no_debug", "debug"),

   ("quiet", "verbose"),

   ("no_overlord", "overlord"),

   ("implicit_apply", "explicit_apply"),

   ("ignore_no_atp", "respect_no_atp"),

   ("partial_types", "full_types"),

   ("theory_irrelevant", "theory_relevant"),

   ("first_order", "higher_order"),

   ("dont_follow_defs", "follow_defs"),

   ("metis_proof", "isar_proof"),

   ("no_sorts", "sorts")]

val params_for_minimize =

  ["full_types", "explicit_apply", "higher_order", "isar_proof", "modulus",

   "sorts", "minimize_timeout"]

val property_dependent_params = ["atps", "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

fun check_raw_param (s, _) =

  if is_known_raw_param s then ()

  else error ("Unknown parameter: " ^ quote s ^ ".")

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)

structure Data = Theory_Data(

  type T = raw_param list

  val empty = default_default_params |> map (apsnd single)

  val extend = I

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

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

fun default_raw_params thy =

  Data.get thy

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

          [("atps", [!atps]),

           ("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 ^ " s"]

                       end)]

val infinity_time_in_secs = 60 * 60 * 24 * 365

val the_timeout = the_default (Time.fromSeconds infinity_time_in_secs)

fun extract_params thy 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 (space_implode " ") 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)

    val lookup_bool_option = general_lookup_bool true NONE

    fun lookup_time name =

      the_timeout (case lookup name of

                     NONE => NONE

                   | SOME s => parse_time_option name s)

    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.")

    val debug = lookup_bool "debug"

    val verbose = debug orelse lookup_bool "verbose"

    val overlord = lookup_bool "overlord"

    val atps = lookup_string "atps" |> space_explode " "

    val full_types = lookup_bool "full_types"

    val explicit_apply = lookup_bool "explicit_apply"

    val respect_no_atp = lookup_bool "respect_no_atp"

    val relevance_threshold =

      0.01 * Real.fromInt (lookup_int "relevance_threshold")

    val convergence = 0.01 * Real.fromInt (lookup_int "convergence")

    val theory_relevant = lookup_bool_option "theory_relevant"

    val higher_order = lookup_bool_option "higher_order"

    val follow_defs = lookup_bool "follow_defs"

    val isar_proof = lookup_bool "isar_proof"

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

    val sorts = lookup_bool "sorts"

    val timeout = lookup_time "timeout"

    val minimize_timeout = lookup_time "minimize_timeout"

  in

    {debug = debug, verbose = verbose, overlord = overlord, atps = atps,

     full_types = full_types, explicit_apply = explicit_apply,

     respect_no_atp = respect_no_atp, relevance_threshold = relevance_threshold,

     convergence = convergence, theory_relevant = theory_relevant,

     higher_order = higher_order, follow_defs = follow_defs,

     isar_proof = isar_proof, modulus = modulus, sorts = sorts,

     timeout = timeout, minimize_timeout = minimize_timeout}

  end

fun get_params thy = extract_params thy (default_raw_params thy)

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

(* Sledgehammer the given subgoal *)

fun run {atps = [], ...} _ _ _ _ = error "No ATP is set."

  | run (params as {atps, timeout, ...}) i relevance_override minimize_command

        proof_state =

    let

      val birth_time = Time.now ()

      val death_time = Time.+ (birth_time, timeout)

      val _ = kill_atps ()  (* race w.r.t. other invocations of Sledgehammer *)

      val _ = priority "Sledgehammering..."

      val _ = List.app (start_prover_thread params birth_time death_time i

                                            relevance_override minimize_command

                                            proof_state) atps

    in () end

fun minimize override_params i fact_refs state =

  let

    val thy = Proof.theory_of state

    val ctxt = Proof.context_of state

    val theorems_from_refs =

      map o pairf Facts.string_of_ref o ProofContext.get_fact

    val name_thms_pairs = theorems_from_refs ctxt fact_refs

  in

    priority (#2 (minimize_theorems (get_params thy override_params) i state

                                    name_thms_pairs))

  end

val sledgehammerN = "sledgehammer"

val sledgehammer_paramsN = "sledgehammer_params"

val runN = "run"

val minimizeN = "minimize"

val messagesN = "messages"

val available_atpsN = "available_atps"

val running_atpsN = "running_atps"

val kill_atpsN = "kill_atps"

val refresh_tptpN = "refresh_tptp"

val helpN = "help"

fun minimizize_raw_param_name "timeout" = "minimize_timeout"

  | minimizize_raw_param_name name = name

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 space_implode " " values of

           "" => ""

         | value => " = " ^ value)

fun minimize_command override_params i atp_name facts =

  sledgehammerN ^ " " ^ minimizeN ^ " [atp = " ^ atp_name ^

  (override_params |> filter is_raw_param_relevant_for_minimize

                   |> implode o map (prefix ", " o string_for_raw_param)) ^

  "] (" ^ space_implode " " facts ^ ")" ^

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

fun hammer_away override_params subcommand opt_i relevance_override state =

  let

    val thy = Proof.theory_of state

    val _ = List.app check_raw_param override_params

  in

    if subcommand = runN then

      let val i = the_default 1 opt_i in

        run (get_params thy override_params) i relevance_override

            (minimize_command override_params i) state

      end

    else if subcommand = minimizeN then

      minimize (map (apfst minimizize_raw_param_name) override_params)

               (the_default 1 opt_i) (#add relevance_override) state

    else if subcommand = messagesN then

      messages opt_i

    else if subcommand = available_atpsN then

      available_atps thy

    else if subcommand = running_atpsN then

      running_atps ()

    else if subcommand = kill_atpsN then

      kill_atps ()

    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 ^ " = " ^ space_implode " " value

fun sledgehammer_params_trans params =

  Toplevel.theory

      (fold set_default_raw_param params

       #> tap (fn thy => 

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

                           (case rev (default_raw_params thy) of

                              [] => "none"

                            | params =>

                              (map check_raw_param params;

                               params |> map string_for_raw_param

                                      |> sort_strings |> cat_lines)))))

val parse_key = Scan.repeat1 P.typ_group >> space_implode " "

val parse_value = Scan.repeat1 P.xname

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

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

val parse_fact_refs =

  Scan.repeat1 (Scan.unless (P.name -- Args.colon)

                            (P.xname -- Scan.option Attrib.thm_sel)

                >> (fn (name, interval) =>

                       Facts.Named ((name, Position.none), interval)))

val parse_relevance_chunk =

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

  || (Args.del |-- Args.colon |-- parse_fact_refs

      >> del_from_relevance_override)

  || (parse_fact_refs >> only_relevance_override)

val parse_relevance_override =

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

                              >> merge_relevance_overrides))

                (add_to_relevance_override [])

val parse_sledgehammer_command =

  (Scan.optional P.short_ident runN -- parse_params -- parse_relevance_override

   -- Scan.option P.nat) #>> sledgehammer_trans

val parse_sledgehammer_params_command =

  parse_params #>> sledgehammer_params_trans

val _ =

  OuterSyntax.improper_command sledgehammerN

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

      parse_sledgehammer_command

val _ =

  OuterSyntax.command sledgehammer_paramsN

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

      parse_sledgehammer_params_command

val setup =

  neg_clausify_setup

  #> clausify_setup

end;