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 auto : bool Unsynchronized.ref
12 val provers : string Unsynchronized.ref
13 val timeout : int Unsynchronized.ref
14 val default_params : Proof.context -> (string * string) list -> params
15 val setup : theory -> theory
18 structure Sledgehammer_Isar : SLEDGEHAMMER_ISAR =
23 open ATP_Problem_Generate
24 open ATP_Proof_Reconstruct
25 open Sledgehammer_Util
26 open Sledgehammer_Fact
27 open Sledgehammer_Provers
28 open Sledgehammer_Minimize
29 open Sledgehammer_MaSh
34 val messagesN = "messages"
35 val supported_proversN = "supported_provers"
36 val kill_proversN = "kill_provers"
37 val running_proversN = "running_provers"
38 val kill_learnersN = "kill_learners"
39 val running_learnersN = "running_learners"
40 val refresh_tptpN = "refresh_tptp"
42 val auto = Unsynchronized.ref false
45 ProofGeneralPgip.add_preference Preferences.category_tracing
46 (Preferences.bool_pref auto "auto-sledgehammer"
47 "Run Sledgehammer automatically.")
49 (** Sledgehammer commands **)
51 fun add_fact_override ns : fact_override = {add = ns, del = [], only = false}
52 fun del_fact_override ns : fact_override = {add = [], del = ns, only = false}
53 fun only_fact_override ns : fact_override = {add = ns, del = [], only = true}
54 fun merge_fact_override_pairwise (r1 : fact_override) (r2 : fact_override) =
55 {add = #add r1 @ #add r2, del = #del r1 @ #del r2,
56 only = #only r1 andalso #only r2}
57 fun merge_fact_overrides rs =
58 fold merge_fact_override_pairwise rs (only_fact_override [])
62 val provers = Unsynchronized.ref ""
63 val timeout = Unsynchronized.ref 30
66 ProofGeneralPgip.add_preference Preferences.category_proof
67 (Preferences.string_pref provers
68 "Sledgehammer: Provers"
69 "Default automatic provers (separated by whitespace)")
72 ProofGeneralPgip.add_preference Preferences.category_proof
73 (Preferences.int_pref timeout
74 "Sledgehammer: Time Limit"
75 "ATPs will be interrupted after this time (in seconds)")
77 type raw_param = string * string list
79 val default_default_params =
82 ("overlord", "false"),
83 ("blocking", "false"),
84 ("type_enc", "smart"),
86 ("lam_trans", "smart"),
87 ("uncurried_aliases", "smart"),
89 ("fact_filter", "smart"),
90 ("max_facts", "smart"),
91 ("fact_thresholds", "0.45 0.85"),
92 ("max_mono_iters", "smart"),
93 ("max_new_mono_instances", "smart"),
94 ("isar_proof", "false"),
95 ("isar_shrink_factor", "1"),
97 ("minimize", "smart"),
98 ("preplay_timeout", "3")]
101 [("prover", ("provers", [])), (* legacy *)
102 ("max_relevant", ("max_facts", [])), (* legacy *)
103 ("dont_preplay", ("preplay_timeout", ["0"]))]
104 val negated_alias_params =
105 [("no_debug", "debug"),
106 ("quiet", "verbose"),
107 ("no_overlord", "overlord"),
108 ("non_blocking", "blocking"),
109 ("non_strict", "strict"),
110 ("no_uncurried_aliases", "uncurried_aliases"),
111 ("dont_learn", "learn"),
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)
137 | SOME (param' as (name', _)) =>
138 if value <> ["false"] then
141 error ("Parameter " ^ quote name ^ " cannot be set to \"false\" \
142 \(cf. " ^ quote name' ^ ").")
144 case AList.lookup (op =) negated_alias_params name of
145 SOME name' => (name', case value of
146 ["false"] => ["true"]
147 | ["true"] => ["false"]
150 | NONE => (name, value)
152 val any_type_enc = type_enc_from_string Strict "erased"
154 (* "provers =", "type_enc =", "lam_trans =", and "fact_filter =" can be omitted.
155 For the last three, this is a secret feature. *)
156 fun normalize_raw_param ctxt =
158 #> (fn (name, value) =>
159 if is_known_raw_param name then
161 else if is_prover_list ctxt name andalso null value then
163 else if can (type_enc_from_string Strict) name andalso null value then
165 else if can (trans_lams_from_string ctxt any_type_enc) name andalso
167 ("lam_trans", [name])
168 else if member (op =) fact_filters name then
169 ("fact_filter", [name])
171 error ("Unknown parameter: " ^ quote name ^ "."))
174 (* Ensures that type encodings such as "mono_native?" and "poly_guards!!" are
176 val implode_param = strip_spaces_except_between_idents o space_implode " "
178 structure Data = Theory_Data
180 type T = raw_param list
181 val empty = default_default_params |> map (apsnd single)
183 fun merge data : T = AList.merge (op =) (K true) data
186 fun remotify_prover_if_supported_and_not_already_remote ctxt name =
187 if String.isPrefix remote_prefix name then
190 let val remote_name = remote_prefix ^ name in
191 if is_prover_supported ctxt remote_name then SOME remote_name else NONE
194 fun remotify_prover_if_not_installed ctxt name =
195 if is_prover_supported ctxt name andalso is_prover_installed ctxt name then
198 remotify_prover_if_supported_and_not_already_remote ctxt name
200 fun avoid_too_many_threads _ _ [] = []
201 | avoid_too_many_threads _ (0, 0) _ = []
202 | avoid_too_many_threads ctxt (0, max_remote) provers =
204 |> map_filter (remotify_prover_if_supported_and_not_already_remote ctxt)
206 | avoid_too_many_threads _ (max_local, 0) provers =
208 |> filter_out (String.isPrefix remote_prefix)
210 | avoid_too_many_threads ctxt max_local_and_remote (prover :: provers) =
212 val max_local_and_remote =
214 |> (if String.isPrefix remote_prefix prover then apsnd else apfst)
216 in prover :: avoid_too_many_threads ctxt max_local_and_remote provers end
218 val max_default_remote_threads = 4
220 (* The first ATP of the list is used by Auto Sledgehammer. Because of the low
221 timeout, it makes sense to put SPASS first. *)
222 fun default_provers_param_value ctxt =
223 [spassN, eN, vampireN, SMT_Solver.solver_name_of ctxt, e_sineN,
225 |> map_filter (remotify_prover_if_not_installed ctxt)
226 |> avoid_too_many_threads ctxt (Multithreading.max_threads_value (),
227 max_default_remote_threads)
230 fun set_default_raw_param param thy =
231 let val ctxt = Proof_Context.init_global thy in
232 thy |> Data.map (AList.update (op =) (normalize_raw_param ctxt param))
234 fun default_raw_params ctxt =
235 let val thy = Proof_Context.theory_of ctxt in
237 |> fold (AList.default (op =))
238 [("provers", [case !provers of
239 "" => default_provers_param_value ctxt
241 ("timeout", let val timeout = !timeout in
242 [if timeout <= 0 then "none"
243 else string_of_int timeout]
247 val the_timeout = the_default infinite_timeout
249 fun extract_params mode default_params override_params =
251 val raw_params = rev override_params @ rev default_params
252 val lookup = Option.map implode_param o AList.lookup (op =) raw_params
253 val lookup_string = the_default "" o lookup
254 fun general_lookup_bool option default_value name =
256 SOME s => parse_bool_option option name s
257 | NONE => default_value
258 val lookup_bool = the o general_lookup_bool false (SOME false)
259 fun lookup_time name =
261 SOME s => parse_time_option name s
263 fun lookup_int name =
266 | SOME s => case Int.fromString s of
268 | NONE => error ("Parameter " ^ quote name ^
269 " must be assigned an integer value.")
270 fun lookup_real_pair name =
273 | SOME s => case s |> space_explode " " |> map Real.fromString of
274 [SOME r1, SOME r2] => (r1, r2)
275 | _ => error ("Parameter " ^ quote name ^
276 "must be assigned a pair of floating-point \
277 \values (e.g., \"0.6 0.95\")")
278 fun lookup_option lookup' name =
281 | _ => SOME (lookup' name)
282 val debug = mode <> Auto_Try andalso lookup_bool "debug"
283 val verbose = debug orelse (mode <> Auto_Try andalso lookup_bool "verbose")
284 val overlord = lookup_bool "overlord"
286 Isabelle_Process.is_active () orelse mode <> Normal orelse debug orelse
287 lookup_bool "blocking"
288 val provers = lookup_string "provers" |> space_explode " "
289 |> mode = Auto_Try ? single o hd
291 if mode = Auto_Try then
293 else case lookup_string "type_enc" of
295 | s => (type_enc_from_string Strict s; SOME s)
296 val strict = mode = Auto_Try orelse lookup_bool "strict"
297 val lam_trans = lookup_option lookup_string "lam_trans"
298 val uncurried_aliases = lookup_option lookup_bool "uncurried_aliases"
299 val learn = lookup_bool "learn"
300 val fact_filter = lookup_option lookup_string "fact_filter"
301 val max_facts = lookup_option lookup_int "max_facts"
302 val fact_thresholds = lookup_real_pair "fact_thresholds"
303 val max_mono_iters = lookup_option lookup_int "max_mono_iters"
304 val max_new_mono_instances =
305 lookup_option lookup_int "max_new_mono_instances"
306 val isar_proof = lookup_bool "isar_proof"
307 val isar_shrink_factor = Int.max (1, lookup_int "isar_shrink_factor")
308 val slice = mode <> Auto_Try andalso lookup_bool "slice"
310 if mode = Auto_Try then NONE else lookup_option lookup_bool "minimize"
312 (if mode = Auto_Try then NONE else lookup_time "timeout") |> the_timeout
313 val preplay_timeout =
314 if mode = Auto_Try then Time.zeroTime
315 else lookup_time "preplay_timeout" |> the_timeout
316 val expect = lookup_string "expect"
318 {debug = debug, verbose = verbose, overlord = overlord, blocking = blocking,
319 provers = provers, type_enc = type_enc, strict = strict,
320 lam_trans = lam_trans, uncurried_aliases = uncurried_aliases,
321 learn = learn, fact_filter = fact_filter, max_facts = max_facts,
322 fact_thresholds = fact_thresholds, max_mono_iters = max_mono_iters,
323 max_new_mono_instances = max_new_mono_instances, isar_proof = isar_proof,
324 isar_shrink_factor = isar_shrink_factor, slice = slice,
325 minimize = minimize, timeout = timeout, preplay_timeout = preplay_timeout,
329 fun get_params mode = extract_params mode o default_raw_params
330 fun default_params thy = get_params Normal thy o map (apsnd single)
332 (* Sledgehammer the given subgoal *)
334 val default_minimize_prover = metisN
336 fun is_raw_param_relevant_for_minimize (name, _) =
337 member (op =) params_for_minimize name
338 fun string_for_raw_param (key, values) =
339 key ^ (case implode_param values of "" => "" | value => " = " ^ value)
341 fun minimize_command override_params i more_override_params prover_name
346 |> filter_out (AList.defined (op =) more_override_params o fst)) @
348 |> filter is_raw_param_relevant_for_minimize
349 |> map string_for_raw_param
350 |> (if prover_name = default_minimize_prover then I else cons prover_name)
351 |> space_implode ", "
353 sledgehammerN ^ " " ^ minN ^
354 (if params = "" then "" else enclose " [" "]" params) ^
355 " (" ^ space_implode " " fact_names ^ ")" ^
356 (if i = 1 then "" else " " ^ string_of_int i)
359 val default_learn_atp_timeout = 0.5
361 fun hammer_away override_params subcommand opt_i fact_override state =
363 val ctxt = Proof.context_of state
364 val override_params = override_params |> map (normalize_raw_param ctxt)
366 if subcommand = runN then
367 let val i = the_default 1 opt_i in
368 run_sledgehammer (get_params Normal ctxt override_params) Normal i
369 fact_override (minimize_command override_params i)
373 else if subcommand = minN then
375 val ctxt = ctxt |> Config.put instantiate_inducts false
376 val i = the_default 1 opt_i
377 val params as {provers, ...} =
378 get_params Minimize ctxt (("provers", [default_minimize_prover]) ::
380 val goal = prop_of (#goal (Proof.goal state))
381 val facts = nearly_all_facts ctxt false fact_override Symtab.empty
382 Termtab.empty [] [] goal
383 val do_learn = mash_learn_proof ctxt params (hd provers) goal facts
384 in run_minimize params do_learn i (#add fact_override) state end
385 else if subcommand = messagesN then
387 else if subcommand = supported_proversN then
388 supported_provers ctxt
389 else if subcommand = kill_proversN then
391 else if subcommand = running_proversN then
393 else if subcommand = unlearnN then
395 else if subcommand = learn_isarN orelse subcommand = learn_atpN orelse
396 subcommand = relearn_isarN orelse subcommand = relearn_atpN then
397 (if subcommand = relearn_isarN orelse subcommand = relearn_atpN then
401 mash_learn ctxt (get_params Normal ctxt
403 [string_of_real default_learn_atp_timeout]) ::
405 [("slice", ["false"]),
406 ("minimize", ["true"]),
407 ("preplay_timeout", ["0"])]))
408 fact_override (#facts (Proof.goal state))
409 (subcommand = learn_atpN orelse subcommand = relearn_atpN))
410 else if subcommand = kill_learnersN then
412 else if subcommand = running_learnersN then
414 else if subcommand = refresh_tptpN then
415 refresh_systems_on_tptp ()
417 error ("Unknown subcommand: " ^ quote subcommand ^ ".")
420 fun sledgehammer_trans (((subcommand, params), fact_override), opt_i) =
421 Toplevel.keep (hammer_away params subcommand opt_i fact_override
424 fun string_for_raw_param (name, value) = name ^ " = " ^ implode_param value
426 fun sledgehammer_params_trans params =
428 (fold set_default_raw_param params
430 let val ctxt = Proof_Context.init_global thy in
431 writeln ("Default parameters for Sledgehammer:\n" ^
432 (case default_raw_params ctxt |> rev of
435 params |> map string_for_raw_param
436 |> sort_strings |> cat_lines))
439 val parse_query_bang = @{keyword "?"} || @{keyword "!"} || @{keyword "!!"}
441 Scan.repeat1 (Parse.typ_group || parse_query_bang) >> implode_param
443 Scan.repeat1 (Parse.xname || Parse.float_number || parse_query_bang)
444 val parse_param = parse_key -- Scan.optional (@{keyword "="} |-- parse_value) []
445 val parse_params = Scan.optional (Args.bracks (Parse.list parse_param)) []
446 val parse_fact_refs =
447 Scan.repeat1 (Scan.unless (Parse.name -- Args.colon) Parse_Spec.xthm)
448 val parse_fact_override_chunk =
449 (Args.add |-- Args.colon |-- parse_fact_refs >> add_fact_override)
450 || (Args.del |-- Args.colon |-- parse_fact_refs >> del_fact_override)
451 || (parse_fact_refs >> only_fact_override)
452 val parse_fact_override =
453 Scan.optional (Args.parens (Scan.repeat parse_fact_override_chunk
454 >> merge_fact_overrides))
458 Outer_Syntax.improper_command @{command_spec "sledgehammer"}
459 "search for first-order proof using automatic theorem provers"
460 ((Scan.optional Parse.short_ident runN -- parse_params
461 -- parse_fact_override -- Scan.option Parse.nat) #>> sledgehammer_trans)
463 Outer_Syntax.command @{command_spec "sledgehammer_params"}
464 "set and display the default parameters for Sledgehammer"
465 (parse_params #>> sledgehammer_params_trans)
467 fun try_sledgehammer auto state =
469 val ctxt = Proof.context_of state
470 val mode = if auto then Auto_Try else Try
473 run_sledgehammer (get_params mode ctxt []) mode i no_fact_override
474 (minimize_command [] i) state
477 val setup = Try.register_tool (sledgehammerN, (40, auto, try_sledgehammer))