(*  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

 (** 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"

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

 val parse_clausify_attribute : attribute context_parser =

   Scan.lift Parse.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))

 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 ""

 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"),

    ("relevance_convergence", "320"),

    ("theory_relevant", "smart"),

    ("defs_relevant", "false"),

    ("isar_proof", "false"),

    ("isar_shrink_factor", "1"),

    ("minimize_timeout", "5 s")]

 val alias_params =

   [("atp", "atps")]

 val negated_alias_params =

   [("no_debug", "debug"),

    ("quiet", "verbose"),

    ("no_overlord", "overlord"),

    ("partial_types", "full_types"),

    ("implicit_apply", "explicit_apply"),

    ("ignore_no_atp", "respect_no_atp"),

    ("theory_irrelevant", "theory_relevant"),

    ("defs_irrelevant", "defs_relevant"),

    ("no_isar_proof", "isar_proof")]

 val params_for_minimize =

   ["debug", "verbose", "overlord", "full_types", "explicit_apply",

    "isar_proof", "isar_shrink_factor", "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", [case !atps of "" => default_atps_param_value () | 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 ^ " 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 relevance_convergence =

       0.01 * Real.fromInt (lookup_int "relevance_convergence")

     val theory_relevant = lookup_bool_option "theory_relevant"

     val defs_relevant = lookup_bool "defs_relevant"

     val isar_proof = lookup_bool "isar_proof"

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

     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,

      relevance_convergence = relevance_convergence,

      theory_relevant = theory_relevant, defs_relevant = defs_relevant,

      isar_proof = isar_proof, isar_shrink_factor = isar_shrink_factor,

      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)

 val subgoal_count = Logic.count_prems o prop_of o #goal o Proof.goal

 (* Sledgehammer the given subgoal *)

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

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

         state =

     case subgoal_count state of

       0 => priority "No subgoal!"

     | n =>

       let

         val birth_time = Time.now ()

         val death_time = Time.+ (birth_time, timeout)

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

         val _ = priority "Sledgehammering..."

         val _ = app (start_prover_thread params birth_time death_time i n

                                          relevance_override minimize_command

                                          state) atps

       in () end

 fun minimize override_params i frefs state =

   let

     val thy = Proof.theory_of state

     val ctxt = Proof.context_of state

     val chained_ths = #facts (Proof.goal state)

     fun theorems_from_ref ctxt fref =

       let

         val ths = ProofContext.get_fact ctxt fref

         val name = Facts.string_of_ref fref

                    |> forall (member Thm.eq_thm chained_ths) ths

                       ? prefix chained_prefix

       in (name, ths) end

     val name_thms_pairs = map (theorems_from_ref ctxt) frefs

   in

     case subgoal_count state of

       0 => priority "No subgoal!"

     | n => priority (#2 (minimize_theorems (get_params thy override_params) i n

                                            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 fact_names =

   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 " " fact_names ^ ")" ^

   (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 _ = 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 Parse.typ_group >> space_implode " "

 val parse_value = Scan.repeat1 Parse.xname

 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.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 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

 val setup =

   neg_clausify_setup

   #> clausify_setup

 end;