(*  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;