boehmes@36890
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(* Title: HOL/Tools/SMT/smt_solver.ML
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boehmes@36890
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Author: Sascha Boehme, TU Muenchen
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boehmes@36890
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SMT solvers registry and SMT tactic.
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*)
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signature SMT_SOLVER =
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boehmes@36890
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sig
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boehmes@40651
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(*configuration*)
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boehmes@40403
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datatype outcome = Unsat | Sat | Unknown
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type solver_config = {
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name: string,
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boehmes@49058
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class: Proof.context -> SMT_Utils.class,
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avail: unit -> bool,
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boehmes@41680
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command: unit -> string list,
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boehmes@40403
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options: Proof.context -> string list,
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boehmes@41680
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default_max_relevant: int,
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supports_filter: bool,
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boehmes@40403
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outcome: string -> string list -> outcome * string list,
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cex_parser: (Proof.context -> SMT_Translate.recon -> string list ->
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boehmes@41076
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term list * term list) option,
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boehmes@40403
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reconstruct: (Proof.context -> SMT_Translate.recon -> string list ->
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int list * thm) option }
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(*registry*)
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val add_solver: solver_config -> theory -> theory
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val solver_name_of: Proof.context -> string
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blanchet@41188
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val available_solvers_of: Proof.context -> string list
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val apply_solver: Proof.context -> (int * (int option * thm)) list ->
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int list * thm
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blanchet@41227
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val default_max_relevant: Proof.context -> string -> int
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(*filter*)
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type 'a smt_filter_data =
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('a * thm) list * ((int * thm) list * Proof.context)
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val smt_filter_preprocess: Proof.state ->
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('a * (int option * thm)) list -> int -> 'a smt_filter_data
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val smt_filter_apply: Time.time -> 'a smt_filter_data ->
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{outcome: SMT_Failure.failure option, used_facts: ('a * thm) list}
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boehmes@40402
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(*tactic*)
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wenzelm@47340
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val smt_tac: Proof.context -> thm list -> int -> tactic
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wenzelm@47340
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val smt_tac': Proof.context -> thm list -> int -> tactic
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end
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structure SMT_Solver: SMT_SOLVER =
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struct
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(* interface to external solvers *)
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local
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fun make_cmd command options problem_path proof_path = space_implode " " (
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"(exec 2>&1;" :: map File.shell_quote (command () @ options) @
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[File.shell_path problem_path, ")", ">", File.shell_path proof_path])
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fun trace_and ctxt msg f x =
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let val _ = SMT_Config.trace_msg ctxt (fn () => msg) ()
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in f x end
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fun run ctxt name mk_cmd input =
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(case SMT_Config.certificates_of ctxt of
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NONE =>
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if not (SMT_Config.is_available ctxt name) then
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error ("The SMT solver " ^ quote name ^ " is not installed.")
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else if Config.get ctxt SMT_Config.debug_files = "" then
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trace_and ctxt ("Invoking SMT solver " ^ quote name ^ " ...")
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(Cache_IO.run mk_cmd) input
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else
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let
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val base_path = Path.explode (Config.get ctxt SMT_Config.debug_files)
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val in_path = Path.ext "smt_in" base_path
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val out_path = Path.ext "smt_out" base_path
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in Cache_IO.raw_run mk_cmd input in_path out_path end
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| SOME certs =>
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(case Cache_IO.lookup certs input of
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(NONE, key) =>
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blanchet@48023
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if Config.get ctxt SMT_Config.read_only_certificates then
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blanchet@48023
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error ("Bad certificate cache: missing certificate")
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boehmes@40781
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else
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Cache_IO.run_and_cache certs key mk_cmd input
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| (SOME output, _) =>
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trace_and ctxt ("Using cached certificate from " ^
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File.shell_path (Cache_IO.cache_path_of certs) ^ " ...")
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I output))
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fun run_solver ctxt name mk_cmd input =
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let
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fun pretty tag ls = Pretty.string_of (Pretty.big_list tag
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(map Pretty.str ls))
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val _ = SMT_Config.trace_msg ctxt (pretty "Problem:" o split_lines) input
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boehmes@40792
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val {redirected_output=res, output=err, return_code} =
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SMT_Config.with_timeout ctxt (run ctxt name mk_cmd) input
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val _ = SMT_Config.trace_msg ctxt (pretty "Solver:") err
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haftmann@40057
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val ls = rev (snd (chop_while (equal "") (rev res)))
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val _ = SMT_Config.trace_msg ctxt (pretty "Result:") ls
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boehmes@40792
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val _ = null ls andalso return_code <> 0 andalso
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raise SMT_Failure.SMT (SMT_Failure.Abnormal_Termination return_code)
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in ls end
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fun trace_assms ctxt =
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SMT_Config.trace_msg ctxt (Pretty.string_of o
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Pretty.big_list "Assertions:" o map (Display.pretty_thm ctxt o snd))
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boehmes@40439
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boehmes@41375
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fun trace_recon_data ({context=ctxt, typs, terms, ...} : SMT_Translate.recon) =
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let
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fun pretty_eq n p = Pretty.block [Pretty.str n, Pretty.str " = ", p]
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fun p_typ (n, T) = pretty_eq n (Syntax.pretty_typ ctxt T)
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fun p_term (n, t) = pretty_eq n (Syntax.pretty_term ctxt t)
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in
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SMT_Config.trace_msg ctxt (fn () =>
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Pretty.string_of (Pretty.big_list "Names:" [
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Pretty.big_list "sorts:" (map p_typ (Symtab.dest typs)),
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Pretty.big_list "functions:" (map p_term (Symtab.dest terms))])) ()
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end
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in
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fun invoke name command ithms ctxt =
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let
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val options = SMT_Config.solver_options_of ctxt
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val comments = ("solver: " ^ name) ::
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("timeout: " ^ string_of_real (Config.get ctxt SMT_Config.timeout)) ::
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("random seed: " ^
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string_of_int (Config.get ctxt SMT_Config.random_seed)) ::
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"arguments:" :: options
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val (str, recon as {context=ctxt', ...}) =
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ithms
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|> tap (trace_assms ctxt)
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|> SMT_Translate.translate ctxt comments
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||> tap trace_recon_data
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boehmes@41846
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in (run_solver ctxt' name (make_cmd command options) str, recon) end
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boehmes@41374
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boehmes@41680
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end
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boehmes@40405
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blanchet@41289
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boehmes@41680
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(* configuration *)
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boehmes@41680
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datatype outcome = Unsat | Sat | Unknown
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type solver_config = {
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boehmes@41680
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name: string,
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boehmes@49058
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class: Proof.context -> SMT_Utils.class,
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boehmes@41680
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avail: unit -> bool,
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boehmes@41680
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command: unit -> string list,
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boehmes@41680
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options: Proof.context -> string list,
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boehmes@41680
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default_max_relevant: int,
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boehmes@41680
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supports_filter: bool,
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boehmes@41680
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outcome: string -> string list -> outcome * string list,
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boehmes@41680
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cex_parser: (Proof.context -> SMT_Translate.recon -> string list ->
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boehmes@41680
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term list * term list) option,
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boehmes@41680
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reconstruct: (Proof.context -> SMT_Translate.recon -> string list ->
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boehmes@41680
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int list * thm) option }
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boehmes@41680
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blanchet@41289
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blanchet@41289
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(* registry *)
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blanchet@41289
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blanchet@41289
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type solver_info = {
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boehmes@41680
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command: unit -> string list,
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boehmes@41680
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default_max_relevant: int,
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boehmes@41680
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supports_filter: bool,
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boehmes@41375
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reconstruct: Proof.context -> string list * SMT_Translate.recon ->
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boehmes@41680
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int list * thm }
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boehmes@36890
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boehmes@36891
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structure Solvers = Generic_Data
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boehmes@36890
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(
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boehmes@40403
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type T = solver_info Symtab.table
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val empty = Symtab.empty
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boehmes@36890
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val extend = I
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boehmes@36890
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fun merge data = Symtab.merge (K true) data
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)
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boehmes@36890
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boehmes@40403
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local
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fun finish outcome cex_parser reconstruct ocl outer_ctxt
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(output, (recon as {context=ctxt, ...} : SMT_Translate.recon)) =
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boehmes@40403
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(case outcome output of
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boehmes@40403
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(Unsat, ls) =>
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boehmes@41576
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if not (Config.get ctxt SMT_Config.oracle) andalso is_some reconstruct
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boehmes@41375
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then the reconstruct outer_ctxt recon ls
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boehmes@41375
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else ([], ocl ())
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boehmes@40403
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| (result, ls) =>
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boehmes@41076
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let
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boehmes@41076
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val (ts, us) =
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boehmes@41076
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(case cex_parser of SOME f => f ctxt recon ls | _ => ([], []))
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boehmes@41076
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in
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boehmes@41076
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raise SMT_Failure.SMT (SMT_Failure.Counterexample {
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boehmes@41076
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is_real_cex = (result = Sat),
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boehmes@41076
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free_constraints = ts,
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boehmes@41076
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const_defs = us})
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boehmes@40651
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end)
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boehmes@40817
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boehmes@40817
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val cfalse = Thm.cterm_of @{theory} (@{const Trueprop} $ @{const False})
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boehmes@40403
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in
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boehmes@40403
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boehmes@40403
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fun add_solver cfg =
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boehmes@40403
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let
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boehmes@41680
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val {name, class, avail, command, options, default_max_relevant,
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boehmes@41680
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supports_filter, outcome, cex_parser, reconstruct} = cfg
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boehmes@40403
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boehmes@40817
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fun core_oracle () = cfalse
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boehmes@40403
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boehmes@41680
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fun solver ocl = {
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boehmes@41680
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command = command,
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default_max_relevant = default_max_relevant,
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boehmes@41680
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supports_filter = supports_filter,
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reconstruct = finish (outcome name) cex_parser reconstruct ocl }
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boehmes@41680
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boehmes@41680
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val info = {name=name, class=class, avail=avail, options=options}
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boehmes@40403
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in
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boehmes@40403
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Thm.add_oracle (Binding.name name, core_oracle) #-> (fn (_, ocl) =>
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boehmes@40403
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Context.theory_map (Solvers.map (Symtab.update_new (name, solver ocl)))) #>
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boehmes@41680
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Context.theory_map (SMT_Config.add_solver info)
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boehmes@40403
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end
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boehmes@40403
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boehmes@40403
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end
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boehmes@40403
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blanchet@41227
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fun get_info ctxt name =
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blanchet@41227
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the (Symtab.lookup (Solvers.get (Context.Proof ctxt)) name)
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blanchet@41227
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boehmes@41680
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val solver_name_of = SMT_Config.solver_of
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boehmes@41680
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boehmes@41680
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val available_solvers_of = SMT_Config.available_solvers_of
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boehmes@41680
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boehmes@41680
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fun name_and_info_of ctxt =
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boehmes@41680
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let val name = solver_name_of ctxt
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blanchet@41227
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in (name, get_info ctxt name) end
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boehmes@36890
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boehmes@41680
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fun gen_preprocess ctxt iwthms = SMT_Normalize.normalize iwthms ctxt
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boehmes@36890
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boehmes@41680
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fun gen_apply (ithms, ctxt) =
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boehmes@41680
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let val (name, {command, reconstruct, ...}) = name_and_info_of ctxt
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boehmes@41680
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in
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boehmes@47608
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(ithms, ctxt)
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boehmes@47608
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|-> invoke name command
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boehmes@47608
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|> reconstruct ctxt
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boehmes@47608
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|>> distinct (op =)
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boehmes@41680
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end
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blanchet@41188
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boehmes@41680
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fun apply_solver ctxt = gen_apply o gen_preprocess ctxt
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blanchet@41227
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blanchet@41227
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val default_max_relevant = #default_max_relevant oo get_info
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boehmes@36890
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boehmes@41680
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val supports_filter = #supports_filter o snd o name_and_info_of
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boehmes@36890
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boehmes@41680
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boehmes@41680
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(* check well-sortedness *)
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boehmes@40402
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boehmes@40402
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val has_topsort = Term.exists_type (Term.exists_subtype (fn
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boehmes@40402
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255 |
TFree (_, []) => true
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boehmes@40402
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256 |
| TVar (_, []) => true
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boehmes@40402
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| _ => false))
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boehmes@40402
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blanchet@41480
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(* without this test, we would run into problems when atomizing the rules: *)
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blanchet@41480
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fun check_topsort iwthms =
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boehmes@41374
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if exists (has_topsort o Thm.prop_of o snd o snd) iwthms then
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boehmes@40651
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raise SMT_Failure.SMT (SMT_Failure.Other_Failure ("proof state " ^
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boehmes@40651
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"contains the universal sort {}"))
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boehmes@41680
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else ()
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boehmes@41680
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boehmes@41680
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boehmes@41680
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(* filter *)
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boehmes@40403
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boehmes@40817
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val cnot = Thm.cterm_of @{theory} @{const Not}
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boehmes@40817
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blanchet@41480
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fun mk_result outcome xrules = { outcome = outcome, used_facts = xrules }
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boehmes@41374
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boehmes@41680
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type 'a smt_filter_data = ('a * thm) list * ((int * thm) list * Proof.context)
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blanchet@41480
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boehmes@41680
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fun smt_filter_preprocess st xwthms i =
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boehmes@40403
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let
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boehmes@40405
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val ctxt =
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boehmes@40440
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Proof.context_of st
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boehmes@41576
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|> Config.put SMT_Config.oracle false
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boehmes@41576
|
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|> Config.put SMT_Config.drop_bad_facts true
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boehmes@41576
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|> Config.put SMT_Config.filter_only_facts true
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boehmes@41374
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boehmes@41374
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val {facts, goal, ...} = Proof.goal st
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boehmes@40603
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val ({context=ctxt', prems, concl, ...}, _) = Subgoal.focus ctxt i goal
|
wenzelm@47368
|
285 |
fun negate ct = Thm.dest_comb ct ||> Thm.apply cnot |-> Thm.apply
|
boehmes@43180
|
286 |
val cprop =
|
boehmes@43180
|
287 |
(case try negate (Thm.rhs_of (SMT_Normalize.atomize_conv ctxt' concl)) of
|
boehmes@43180
|
288 |
SOME ct => ct
|
boehmes@43180
|
289 |
| NONE => raise SMT_Failure.SMT (SMT_Failure.Other_Failure (
|
boehmes@43180
|
290 |
"goal is not a HOL term")))
|
boehmes@40403
|
291 |
in
|
boehmes@41680
|
292 |
map snd xwthms
|
boehmes@41680
|
293 |
|> map_index I
|
boehmes@41680
|
294 |
|> append (map (pair ~1 o pair NONE) (Thm.assume cprop :: prems @ facts))
|
boehmes@41680
|
295 |
|> tap check_topsort
|
boehmes@41680
|
296 |
|> gen_preprocess ctxt'
|
boehmes@41680
|
297 |
|> pair (map (apsnd snd) xwthms)
|
blanchet@41480
|
298 |
end
|
blanchet@41480
|
299 |
|
boehmes@41680
|
300 |
fun smt_filter_apply time_limit (xthms, (ithms, ctxt)) =
|
blanchet@41482
|
301 |
let
|
boehmes@41680
|
302 |
val ctxt' =
|
boehmes@41680
|
303 |
ctxt
|
boehmes@41680
|
304 |
|> Config.put SMT_Config.timeout (Time.toReal time_limit)
|
boehmes@41680
|
305 |
|
boehmes@41680
|
306 |
fun filter_thms false = K xthms
|
boehmes@41680
|
307 |
| filter_thms true = map_filter (try (nth xthms)) o fst
|
blanchet@41482
|
308 |
in
|
boehmes@41680
|
309 |
(ithms, ctxt')
|
boehmes@41680
|
310 |
|> gen_apply
|
boehmes@41680
|
311 |
|> filter_thms (supports_filter ctxt')
|
boehmes@41374
|
312 |
|> mk_result NONE
|
boehmes@40403
|
313 |
end
|
boehmes@41374
|
314 |
handle SMT_Failure.SMT fail => mk_result (SOME fail) []
|
boehmes@40402
|
315 |
|
boehmes@40402
|
316 |
|
boehmes@36890
|
317 |
(* SMT tactic *)
|
boehmes@36890
|
318 |
|
boehmes@41680
|
319 |
local
|
boehmes@41680
|
320 |
fun trace_assumptions ctxt iwthms idxs =
|
boehmes@40406
|
321 |
let
|
boehmes@41680
|
322 |
val wthms =
|
boehmes@41680
|
323 |
idxs
|
boehmes@41680
|
324 |
|> filter (fn i => i >= 0)
|
boehmes@41680
|
325 |
|> map_filter (AList.lookup (op =) iwthms)
|
boehmes@40406
|
326 |
in
|
boehmes@41680
|
327 |
if Config.get ctxt SMT_Config.trace_used_facts andalso length wthms > 0
|
boehmes@41680
|
328 |
then
|
boehmes@41680
|
329 |
tracing (Pretty.string_of (Pretty.big_list "SMT used facts:"
|
boehmes@41680
|
330 |
(map (Display.pretty_thm ctxt o snd) wthms)))
|
boehmes@41680
|
331 |
else ()
|
boehmes@41680
|
332 |
end
|
boehmes@36890
|
333 |
|
boehmes@41680
|
334 |
fun solve ctxt iwthms =
|
boehmes@41680
|
335 |
iwthms
|
boehmes@41680
|
336 |
|> tap check_topsort
|
boehmes@41680
|
337 |
|> apply_solver ctxt
|
boehmes@41680
|
338 |
|>> trace_assumptions ctxt iwthms
|
boehmes@41680
|
339 |
|> snd
|
boehmes@41680
|
340 |
|
boehmes@41680
|
341 |
fun str_of ctxt fail =
|
boehmes@41680
|
342 |
SMT_Failure.string_of_failure ctxt fail
|
boehmes@41680
|
343 |
|> prefix ("Solver " ^ SMT_Config.solver_of ctxt ^ ": ")
|
boehmes@41680
|
344 |
|
boehmes@41680
|
345 |
fun safe_solve ctxt iwthms = SOME (solve ctxt iwthms)
|
boehmes@41680
|
346 |
handle
|
boehmes@41680
|
347 |
SMT_Failure.SMT (fail as SMT_Failure.Counterexample _) =>
|
boehmes@41680
|
348 |
(SMT_Config.verbose_msg ctxt (str_of ctxt) fail; NONE)
|
boehmes@42632
|
349 |
| SMT_Failure.SMT (fail as SMT_Failure.Time_Out) =>
|
boehmes@42632
|
350 |
error ("SMT: Solver " ^ quote (SMT_Config.solver_of ctxt) ^ ": " ^
|
boehmes@42632
|
351 |
SMT_Failure.string_of_failure ctxt fail ^ " (setting the " ^
|
wenzelm@43487
|
352 |
"configuration option " ^ quote (Config.name_of SMT_Config.timeout) ^ " might help)")
|
boehmes@42632
|
353 |
| SMT_Failure.SMT fail => error (str_of ctxt fail)
|
boehmes@41680
|
354 |
|
boehmes@41680
|
355 |
fun tag_rules thms = map_index (apsnd (pair NONE)) thms
|
boehmes@41680
|
356 |
fun tag_prems thms = map (pair ~1 o pair NONE) thms
|
boehmes@41680
|
357 |
|
boehmes@41680
|
358 |
fun resolve (SOME thm) = Tactic.rtac thm 1
|
wenzelm@47340
|
359 |
| resolve NONE = no_tac
|
boehmes@41680
|
360 |
|
boehmes@41680
|
361 |
fun tac prove ctxt rules =
|
boehmes@41680
|
362 |
CONVERSION (SMT_Normalize.atomize_conv ctxt)
|
boehmes@41680
|
363 |
THEN' Tactic.rtac @{thm ccontr}
|
boehmes@41680
|
364 |
THEN' SUBPROOF (fn {context, prems, ...} =>
|
boehmes@41680
|
365 |
resolve (prove context (tag_rules rules @ tag_prems prems))) ctxt
|
boehmes@41680
|
366 |
in
|
boehmes@41680
|
367 |
|
boehmes@41680
|
368 |
val smt_tac = tac safe_solve
|
boehmes@41680
|
369 |
val smt_tac' = tac (SOME oo solve)
|
boehmes@41680
|
370 |
|
boehmes@41680
|
371 |
end
|
boehmes@41680
|
372 |
|
boehmes@36890
|
373 |
end
|