(*  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 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 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"),

    ("monomorphize_limit", "4"),

    ("explicit_apply", "false"),

    ("isar_proof", "false"),

    ("isar_shrink_factor", "1"),

    ("slicing", "true")]

 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", "isar_proof",

    "isar_shrink_factor", "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

 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 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)

 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_local_threads _ _ [] = []

   | avoid_too_many_local_threads ctxt 0 provers =

     map_filter (remotify_prover_if_supported_and_not_already_remote ctxt)

                provers

   | avoid_too_many_local_threads ctxt n (prover :: provers) =

     let val n = if String.isPrefix remote_prefix prover then n else n - 1 in

       prover :: avoid_too_many_local_threads ctxt n provers

     end

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

    correctly. *)

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

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

   | implode_param_value ss = space_implode " " ss

 (* 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, sine_eN, SMT_Solver.solver_name_of ctxt]

   |> map_filter (remotify_prover_if_not_installed ctxt)

   |> avoid_too_many_local_threads ctxt (Multithreading.max_threads_value ())

   |> implode_param_value

 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 auto 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_value 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_int_option name =

       case lookup name of

         SOME "smart" => NONE

       | _ => SOME (lookup_int name)

     val debug = not auto andalso lookup_bool "debug"

     val verbose = debug orelse (not auto andalso lookup_bool "verbose")

     val overlord = lookup_bool "overlord"

     val blocking = auto orelse debug orelse lookup_bool "blocking"

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

                   |> auto ? single o hd

     val type_sys =

       case lookup_string "type_sys" of

         "smart" => Smart_Type_Sys (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_int_option "max_relevant"

     val monomorphize_limit = lookup_int "monomorphize_limit"

     val explicit_apply = 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 = not auto andalso lookup_bool "slicing"

     val timeout = (if auto then NONE else lookup_time "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, monomorphize_limit = monomorphize_limit,

      type_sys = type_sys, explicit_apply = explicit_apply,

      isar_proof = isar_proof, isar_shrink_factor = isar_shrink_factor,

      slicing = slicing, timeout = timeout, expect = expect}

   end

 fun get_params auto ctxt = extract_params auto (default_raw_params ctxt)

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

 (* Sledgehammer the given subgoal *)

 val sledgehammerN = "sledgehammer"

 val sledgehammer_paramsN = "sledgehammer_params"

 val runN = "run"

 val minimizeN = "minimize"

 val messagesN = "messages"

 val supported_proversN = "supported_provers"

 val running_proversN = "running_provers"

 val kill_proversN = "kill_provers"

 val refresh_tptpN = "refresh_tptp"

 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_value values of "" => "" | value => " = " ^ value)

 fun minimize_command override_params i prover_name fact_names =

   sledgehammerN ^ " " ^ minimizeN ^ " [prover = " ^ prover_name ^

   (override_params |> filter is_raw_param_relevant_for_minimize

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

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

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

 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 false ctxt override_params) false i

                          relevance_override (minimize_command override_params i)

                          state

         |> K ()

       end

     else if subcommand = minimizeN then

       run_minimize (get_params false ctxt 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 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 >> space_implode " "

 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 auto_sledgehammer state =

   let val ctxt = Proof.context_of state in

     run_sledgehammer (get_params true ctxt []) true 1 no_relevance_override

                      (minimize_command [] 1) state

   end

 val setup = Auto_Tools.register_tool (auto, auto_sledgehammer)

 end;