(*  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 auto : bool Unsynchronized.ref

  val provers : string Unsynchronized.ref

  val timeout : int Unsynchronized.ref

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

  val setup : theory -> theory

end;

structure Sledgehammer_Isar : SLEDGEHAMMER_ISAR =

struct

open ATP_Util

open ATP_Systems

open ATP_Problem_Generate

open ATP_Proof_Reconstruct

open Sledgehammer_Util

open Sledgehammer_Fact

open Sledgehammer_Provers

open Sledgehammer_Minimize

open Sledgehammer_Run

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 **)

fun add_fact_override ns : fact_override = {add = ns, del = [], only = false}

fun del_fact_override ns : fact_override = {add = [], del = ns, only = false}

fun only_fact_override ns : fact_override = {add = ns, del = [], only = true}

fun merge_fact_override_pairwise (r1 : fact_override) (r2 : fact_override) =

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

   only = #only r1 andalso #only r2}

fun merge_fact_overrides rs =

  fold merge_fact_override_pairwise rs (only_fact_override [])

(*** parameters ***)

val provers = Unsynchronized.ref ""

val timeout = Unsynchronized.ref 30

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)")

type raw_param = string * string list

val default_default_params =

  [("debug", "false"),

   ("verbose", "false"),

   ("overlord", "false"),

   ("blocking", "false"),

   ("type_enc", "smart"),

   ("strict", "false"),

   ("lam_trans", "smart"),

   ("uncurried_aliases", "smart"),

   ("relevance_thresholds", "0.45 0.85"),

   ("max_relevant", "smart"),

   ("max_mono_iters", "smart"),

   ("max_new_mono_instances", "smart"),

   ("isar_proof", "false"),

   ("isar_shrink_factor", "1"),

   ("slice", "true"),

   ("minimize", "smart"),

   ("preplay_timeout", "3")]

val alias_params =

  [("prover", ("provers", [])),

   ("dont_preplay", ("preplay_timeout", ["0"]))]

val negated_alias_params =

  [("no_debug", "debug"),

   ("quiet", "verbose"),

   ("no_overlord", "overlord"),

   ("non_blocking", "blocking"),

   ("non_strict", "strict"),

   ("no_uncurried_aliases", "uncurried_aliases"),

   ("no_isar_proof", "isar_proof"),

   ("dont_slice", "slice"),

   ("dont_minimize", "minimize")]

val params_for_minimize =

  ["debug", "verbose", "overlord", "type_enc", "strict", "lam_trans",

   "uncurried_aliases", "max_mono_iters", "max_new_mono_instances",

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

val property_dependent_params = ["provers", "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

fun unalias_raw_param (name, value) =

  case AList.lookup (op =) alias_params name of

    SOME (name', []) => (name', value)

  | SOME (param' as (name', _)) =>

    if value <> ["false"] then

      param'

    else

      error ("Parameter " ^ quote name ^ " cannot be set to \"false\" \

             \(cf. " ^ quote name' ^ ").")

  | 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)

val any_type_enc = type_enc_from_string Strict "erased"

(* "provers =", "type_enc =", and "lam_trans" can be omitted. For the last two,

   this is a secret feature. *)

fun normalize_raw_param ctxt =

  unalias_raw_param

  #> (fn (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_enc_from_string Strict) name andalso null value then

           ("type_enc", [name])

         else if can (trans_lams_from_string ctxt any_type_enc) name andalso

                 null value then

           ("lam_trans", [name])

         else

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

(* Ensures that type encodings such as "mono_native?" and "poly_guards!!" are

   read correctly. *)

val implode_param = strip_spaces_except_between_idents o space_implode " "

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, e_sineN,

   waldmeisterN]

  |> map_filter (remotify_prover_if_not_installed ctxt)

  |> avoid_too_many_threads ctxt (Multithreading.max_threads_value (),

                                  max_default_remote_threads)

  |> implode_param

fun set_default_raw_param param thy =

  let val ctxt = Proof_Context.init_global thy in

    thy |> Data.map (AList.update (op =) (normalize_raw_param ctxt param))

  end

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]),

             ("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 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_enc =

      if mode = Auto_Try then

        NONE

      else case lookup_string "type_enc" of

        "smart" => NONE

      | s => (type_enc_from_string Strict s; SOME s)

    val strict = mode = Auto_Try orelse lookup_bool "strict"

    val lam_trans = lookup_option lookup_string "lam_trans"

    val uncurried_aliases = lookup_option lookup_bool "uncurried_aliases"

    val relevance_thresholds = lookup_real_pair "relevance_thresholds"

    val max_relevant = lookup_option lookup_int "max_relevant"

    val max_mono_iters = lookup_option lookup_int "max_mono_iters"

    val max_new_mono_instances =

      lookup_option lookup_int "max_new_mono_instances"

    val isar_proof = lookup_bool "isar_proof"

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

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

    val minimize =

      if mode = Auto_Try then NONE else lookup_option lookup_bool "minimize"

    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, type_enc = type_enc, strict = strict,

     lam_trans = lam_trans, uncurried_aliases = uncurried_aliases,

     relevance_thresholds = relevance_thresholds, max_relevant = max_relevant,

     max_mono_iters = max_mono_iters,

     max_new_mono_instances = max_new_mono_instances,  isar_proof = isar_proof,

     isar_shrink_factor = isar_shrink_factor, slice = slice,

     minimize = minimize, timeout = timeout, preplay_timeout = preplay_timeout,

     expect = expect}

  end

fun get_params mode = extract_params mode o default_raw_params

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

(* Sledgehammer the given subgoal *)

val default_minimize_prover = metisN

fun is_raw_param_relevant_for_minimize (name, _) =

  member (op =) params_for_minimize name

fun string_for_raw_param (key, values) =

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

fun minimize_command override_params i more_override_params prover_name

                     fact_names =

  let

    val params =

      (override_params

       |> filter_out (AList.defined (op =) more_override_params o fst)) @

      more_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

    "sledgehammer" ^ " " ^ 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 fact_override state =

  let

    val ctxt = Proof.context_of state

    val override_params = override_params |> map (normalize_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

                         fact_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 fact_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), fact_override), opt_i) =

  Toplevel.keep (hammer_away params subcommand opt_i fact_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 string_for_raw_param

                                       |> sort_strings |> cat_lines))

                  end))

val parse_query_bang = @{keyword "?"} || @{keyword "!"} || @{keyword "!!"}

val parse_key =

  Scan.repeat1 (Parse.typ_group || parse_query_bang) >> implode_param

val parse_value =

  Scan.repeat1 (Parse.xname || Parse.float_number || parse_query_bang)

val parse_param = parse_key -- Scan.optional (@{keyword "="} |-- 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_fact_override)

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

  || (parse_fact_refs >> only_fact_override)

val parse_fact_override =

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

                              >> merge_fact_overrides))

                no_fact_override

val _ =

  Outer_Syntax.improper_command @{command_spec "sledgehammer"}

    "search for first-order proof using automatic theorem provers"

    ((Scan.optional Parse.short_ident runN -- parse_params

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

val _ =

  Outer_Syntax.command @{command_spec "sledgehammer_params"}

    "set and display the default parameters for Sledgehammer"

    (parse_params #>> sledgehammer_params_trans)

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_fact_override

                     (minimize_command [] i) state

  end

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

end;