1 (* Title: HOL/Tools/Sledgehammer/sledgehammer_isar.ML
2 Author: Jasmin Blanchette, TU Muenchen
4 Adds "sledgehammer" and related commands to Isabelle/Isar's outer syntax.
7 signature SLEDGEHAMMER_ISAR =
9 type params = Sledgehammer_Provers.params
11 val sledgehammerN : string
12 val auto : bool Unsynchronized.ref
13 val provers : string Unsynchronized.ref
14 val timeout : int Unsynchronized.ref
15 val default_params : Proof.context -> (string * string) list -> params
16 val setup : theory -> theory
19 structure Sledgehammer_Isar : SLEDGEHAMMER_ISAR =
24 open ATP_Problem_Generate
25 open ATP_Proof_Reconstruct
26 open Sledgehammer_Util
27 open Sledgehammer_Filter
28 open Sledgehammer_Provers
29 open Sledgehammer_Minimize
32 val sledgehammerN = "sledgehammer"
33 val sledgehammer_paramsN = "sledgehammer_params"
37 val messagesN = "messages"
38 val supported_proversN = "supported_provers"
39 val running_proversN = "running_provers"
40 val kill_proversN = "kill_provers"
41 val refresh_tptpN = "refresh_tptp"
43 val auto = Unsynchronized.ref false
46 ProofGeneralPgip.add_preference Preferences.category_tracing
47 (Preferences.bool_pref auto "auto-sledgehammer"
48 "Run Sledgehammer automatically.")
50 (** Sledgehammer commands **)
52 fun add_relevance_override ns : relevance_override =
53 {add = ns, del = [], only = false}
54 fun del_relevance_override ns : relevance_override =
55 {add = [], del = ns, only = false}
56 fun only_relevance_override ns : relevance_override =
57 {add = ns, del = [], only = true}
58 fun merge_relevance_override_pairwise (r1 : relevance_override)
59 (r2 : relevance_override) =
60 {add = #add r1 @ #add r2, del = #del r1 @ #del r2,
61 only = #only r1 andalso #only r2}
62 fun merge_relevance_overrides rs =
63 fold merge_relevance_override_pairwise rs (only_relevance_override [])
67 val provers = Unsynchronized.ref ""
68 val timeout = Unsynchronized.ref 30
71 ProofGeneralPgip.add_preference Preferences.category_proof
72 (Preferences.string_pref provers
73 "Sledgehammer: Provers"
74 "Default automatic provers (separated by whitespace)")
77 ProofGeneralPgip.add_preference Preferences.category_proof
78 (Preferences.int_pref timeout
79 "Sledgehammer: Time Limit"
80 "ATPs will be interrupted after this time (in seconds)")
82 type raw_param = string * string list
84 val default_default_params =
87 ("overlord", "false"),
88 ("blocking", "false"),
89 ("type_enc", "smart"),
91 ("lam_trans", "smart"),
92 ("uncurried_aliases", "smart"),
93 ("relevance_thresholds", "0.45 0.85"),
94 ("max_relevant", "smart"),
95 ("max_mono_iters", "3"),
96 ("max_new_mono_instances", "200"),
97 ("isar_proof", "false"),
98 ("isar_shrink_factor", "1"),
100 ("minimize", "smart"),
101 ("preplay_timeout", "3")]
104 [("prover", "provers")]
105 val negated_alias_params =
106 [("no_debug", "debug"),
107 ("quiet", "verbose"),
108 ("no_overlord", "overlord"),
109 ("non_blocking", "blocking"),
110 ("non_strict", "strict"),
111 ("no_uncurried_aliases", "uncurried_aliases"),
112 ("no_isar_proof", "isar_proof"),
113 ("dont_slice", "slice"),
114 ("dont_minimize", "minimize")]
116 val params_for_minimize =
117 ["debug", "verbose", "overlord", "type_enc", "strict", "lam_trans",
118 "uncurried_aliases", "max_mono_iters", "max_new_mono_instances",
119 "isar_proof", "isar_shrink_factor", "timeout", "preplay_timeout"]
121 val property_dependent_params = ["provers", "timeout"]
123 fun is_known_raw_param s =
124 AList.defined (op =) default_default_params s orelse
125 AList.defined (op =) alias_params s orelse
126 AList.defined (op =) negated_alias_params s orelse
127 member (op =) property_dependent_params s orelse s = "expect"
129 fun is_prover_list ctxt s =
130 case space_explode " " s of
131 ss as _ :: _ => forall (is_prover_supported ctxt) ss
134 fun unalias_raw_param (name, value) =
135 case AList.lookup (op =) alias_params name of
136 SOME name' => (name', value)
138 case AList.lookup (op =) negated_alias_params name of
139 SOME name' => (name', case value of
140 ["false"] => ["true"]
141 | ["true"] => ["false"]
144 | NONE => (name, value)
146 val any_type_enc = type_enc_from_string Strict "erased"
148 (* "provers =", "type_enc =", and "lam_trans" can be omitted. For the last two,
149 this is a secret feature. *)
150 fun normalize_raw_param ctxt =
152 #> (fn (name, value) =>
153 if is_known_raw_param name then
155 else if is_prover_list ctxt name andalso null value then
157 else if can (type_enc_from_string Strict) name andalso null value then
159 else if can (trans_lams_from_string ctxt any_type_enc) name andalso
161 ("lam_trans", [name])
163 error ("Unknown parameter: " ^ quote name ^ "."))
166 (* Ensures that type encodings such as "mono_native?" and "poly_guards!!" are
168 val implode_param = strip_spaces_except_between_idents o space_implode " "
170 structure Data = Theory_Data
172 type T = raw_param list
173 val empty = default_default_params |> map (apsnd single)
175 fun merge data : T = AList.merge (op =) (K true) data
178 fun remotify_prover_if_supported_and_not_already_remote ctxt name =
179 if String.isPrefix remote_prefix name then
182 let val remote_name = remote_prefix ^ name in
183 if is_prover_supported ctxt remote_name then SOME remote_name else NONE
186 fun remotify_prover_if_not_installed ctxt name =
187 if is_prover_supported ctxt name andalso is_prover_installed ctxt name then
190 remotify_prover_if_supported_and_not_already_remote ctxt name
192 fun avoid_too_many_threads _ _ [] = []
193 | avoid_too_many_threads _ (0, 0) _ = []
194 | avoid_too_many_threads ctxt (0, max_remote) provers =
196 |> map_filter (remotify_prover_if_supported_and_not_already_remote ctxt)
198 | avoid_too_many_threads _ (max_local, 0) provers =
200 |> filter_out (String.isPrefix remote_prefix)
202 | avoid_too_many_threads ctxt max_local_and_remote (prover :: provers) =
204 val max_local_and_remote =
206 |> (if String.isPrefix remote_prefix prover then apsnd else apfst)
208 in prover :: avoid_too_many_threads ctxt max_local_and_remote provers end
210 val max_default_remote_threads = 4
212 (* The first ATP of the list is used by Auto Sledgehammer. Because of the low
213 timeout, it makes sense to put SPASS first. *)
214 fun default_provers_param_value ctxt =
215 [spassN, spass_newN, eN, vampireN, SMT_Solver.solver_name_of ctxt, e_sineN,
217 |> map_filter (remotify_prover_if_not_installed ctxt)
218 |> avoid_too_many_threads ctxt (Multithreading.max_threads_value (),
219 max_default_remote_threads)
222 fun set_default_raw_param param thy =
223 let val ctxt = Proof_Context.init_global thy in
224 thy |> Data.map (AList.update (op =) (normalize_raw_param ctxt param))
226 fun default_raw_params ctxt =
227 let val thy = Proof_Context.theory_of ctxt in
229 |> fold (AList.default (op =))
230 [("provers", [case !provers of
231 "" => default_provers_param_value ctxt
233 ("timeout", let val timeout = !timeout in
234 [if timeout <= 0 then "none"
235 else string_of_int timeout]
239 val infinity_time_in_secs = 60 * 60 * 24 * 365
240 val the_timeout = the_default (Time.fromSeconds infinity_time_in_secs)
242 fun extract_params mode default_params override_params =
244 val raw_params = rev override_params @ rev default_params
245 val lookup = Option.map implode_param o AList.lookup (op =) raw_params
246 val lookup_string = the_default "" o lookup
247 fun general_lookup_bool option default_value name =
249 SOME s => parse_bool_option option name s
250 | NONE => default_value
251 val lookup_bool = the o general_lookup_bool false (SOME false)
252 fun lookup_time name =
254 SOME s => parse_time_option name s
256 fun lookup_int name =
259 | SOME s => case Int.fromString s of
261 | NONE => error ("Parameter " ^ quote name ^
262 " must be assigned an integer value.")
263 fun lookup_real_pair name =
266 | SOME s => case s |> space_explode " " |> map Real.fromString of
267 [SOME r1, SOME r2] => (r1, r2)
268 | _ => error ("Parameter " ^ quote name ^
269 "must be assigned a pair of floating-point \
270 \values (e.g., \"0.6 0.95\")")
271 fun lookup_option lookup' name =
274 | _ => SOME (lookup' name)
275 val debug = mode <> Auto_Try andalso lookup_bool "debug"
276 val verbose = debug orelse (mode <> Auto_Try andalso lookup_bool "verbose")
277 val overlord = lookup_bool "overlord"
279 Isabelle_Process.is_active () orelse mode <> Normal orelse debug orelse
280 lookup_bool "blocking"
281 val provers = lookup_string "provers" |> space_explode " "
282 |> mode = Auto_Try ? single o hd
284 if mode = Auto_Try then
286 else case lookup_string "type_enc" of
288 | s => (type_enc_from_string Strict s; SOME s)
289 val strict = mode = Auto_Try orelse lookup_bool "strict"
290 val lam_trans = lookup_option lookup_string "lam_trans"
291 val uncurried_aliases = lookup_option lookup_bool "uncurried_aliases"
292 val relevance_thresholds = lookup_real_pair "relevance_thresholds"
293 val max_relevant = lookup_option lookup_int "max_relevant"
294 val max_mono_iters = lookup_int "max_mono_iters"
295 val max_new_mono_instances = lookup_int "max_new_mono_instances"
296 val isar_proof = lookup_bool "isar_proof"
297 val isar_shrink_factor = Int.max (1, lookup_int "isar_shrink_factor")
298 val slice = mode <> Auto_Try andalso lookup_bool "slice"
300 if mode = Auto_Try then NONE else lookup_option lookup_bool "minimize"
302 (if mode = Auto_Try then NONE else lookup_time "timeout") |> the_timeout
303 val preplay_timeout =
304 if mode = Auto_Try then Time.zeroTime
305 else lookup_time "preplay_timeout" |> the_timeout
306 val expect = lookup_string "expect"
308 {debug = debug, verbose = verbose, overlord = overlord, blocking = blocking,
309 provers = provers, type_enc = type_enc, strict = strict,
310 lam_trans = lam_trans, uncurried_aliases = uncurried_aliases,
311 relevance_thresholds = relevance_thresholds, max_relevant = max_relevant,
312 max_mono_iters = max_mono_iters,
313 max_new_mono_instances = max_new_mono_instances, isar_proof = isar_proof,
314 isar_shrink_factor = isar_shrink_factor, slice = slice,
315 minimize = minimize, timeout = timeout, preplay_timeout = preplay_timeout,
319 fun get_params mode = extract_params mode o default_raw_params
320 fun default_params thy = get_params Normal thy o map (apsnd single)
322 (* Sledgehammer the given subgoal *)
324 val default_minimize_prover = metisN
326 fun is_raw_param_relevant_for_minimize (name, _) =
327 member (op =) params_for_minimize name
328 fun string_for_raw_param (key, values) =
329 key ^ (case implode_param values of "" => "" | value => " = " ^ value)
331 fun minimize_command override_params i more_override_params prover_name
336 |> filter_out (AList.defined (op =) more_override_params o fst)) @
338 |> filter is_raw_param_relevant_for_minimize
339 |> map string_for_raw_param
340 |> (if prover_name = default_minimize_prover then I else cons prover_name)
341 |> space_implode ", "
343 sledgehammerN ^ " " ^ minN ^
344 (if params = "" then "" else enclose " [" "]" params) ^
345 " (" ^ space_implode " " fact_names ^ ")" ^
346 (if i = 1 then "" else " " ^ string_of_int i)
349 fun hammer_away override_params subcommand opt_i relevance_override state =
351 val ctxt = Proof.context_of state
352 val override_params = override_params |> map (normalize_raw_param ctxt)
354 if subcommand = runN then
355 let val i = the_default 1 opt_i in
356 run_sledgehammer (get_params Normal ctxt override_params) Normal i
357 relevance_override (minimize_command override_params i)
361 else if subcommand = minN then
362 run_minimize (get_params Minimize ctxt
363 (("provers", [default_minimize_prover]) ::
365 (the_default 1 opt_i) (#add relevance_override) state
366 else if subcommand = messagesN then
368 else if subcommand = supported_proversN then
369 supported_provers ctxt
370 else if subcommand = running_proversN then
372 else if subcommand = kill_proversN then
374 else if subcommand = refresh_tptpN then
375 refresh_systems_on_tptp ()
377 error ("Unknown subcommand: " ^ quote subcommand ^ ".")
380 fun sledgehammer_trans (((subcommand, params), relevance_override), opt_i) =
381 Toplevel.keep (hammer_away params subcommand opt_i relevance_override
384 fun string_for_raw_param (name, value) = name ^ " = " ^ implode_param value
386 fun sledgehammer_params_trans params =
388 (fold set_default_raw_param params
390 let val ctxt = Proof_Context.init_global thy in
391 writeln ("Default parameters for Sledgehammer:\n" ^
392 (case default_raw_params ctxt |> rev of
395 params |> map string_for_raw_param
396 |> sort_strings |> cat_lines))
399 val parse_query_bang = Parse.$$$ "?" || Parse.$$$ "!" || Parse.$$$ "!!"
401 Scan.repeat1 (Parse.typ_group || parse_query_bang) >> implode_param
403 Scan.repeat1 (Parse.xname || Parse.float_number || parse_query_bang)
404 val parse_param = parse_key -- Scan.optional (Parse.$$$ "=" |-- parse_value) []
405 val parse_params = Scan.optional (Args.bracks (Parse.list parse_param)) []
406 val parse_fact_refs =
407 Scan.repeat1 (Scan.unless (Parse.name -- Args.colon) Parse_Spec.xthm)
408 val parse_relevance_chunk =
409 (Args.add |-- Args.colon |-- parse_fact_refs >> add_relevance_override)
410 || (Args.del |-- Args.colon |-- parse_fact_refs >> del_relevance_override)
411 || (parse_fact_refs >> only_relevance_override)
412 val parse_relevance_override =
413 Scan.optional (Args.parens (Scan.repeat parse_relevance_chunk
414 >> merge_relevance_overrides))
415 no_relevance_override
416 val parse_sledgehammer_command =
417 (Scan.optional Parse.short_ident runN -- parse_params
418 -- parse_relevance_override -- Scan.option Parse.nat) #>> sledgehammer_trans
419 val parse_sledgehammer_params_command =
420 parse_params #>> sledgehammer_params_trans
423 Outer_Syntax.improper_command sledgehammerN
424 "search for first-order proof using automatic theorem provers" Keyword.diag
425 parse_sledgehammer_command
427 Outer_Syntax.command sledgehammer_paramsN
428 "set and display the default parameters for Sledgehammer" Keyword.thy_decl
429 parse_sledgehammer_params_command
431 fun try_sledgehammer auto state =
433 val ctxt = Proof.context_of state
434 val mode = if auto then Auto_Try else Try
437 run_sledgehammer (get_params mode ctxt []) mode i no_relevance_override
438 (minimize_command [] i) state
441 val setup = Try.register_tool (sledgehammerN, (40, auto, try_sledgehammer))