author | blanchet |
Thu, 27 Aug 2015 22:36:09 +0200 | |
changeset 61033 | fd7fe96ca7b9 |
parent 60752 | b48830b670a1 |
child 61268 | abe08fb15a12 |
permissions | -rw-r--r-- |
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(* Title: HOL/Tools/SMT/smt_solver.ML |
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Author: Sascha Boehme, TU Muenchen |
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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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sig |
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(*configuration*) |
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datatype outcome = Unsat | Sat | Unknown |
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type parsed_proof = |
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{outcome: SMT_Failure.failure option, |
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fact_ids: (int * ((string * ATP_Problem_Generate.stature) * thm)) list option, |
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atp_proof: unit -> (term, string) ATP_Proof.atp_step list} |
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type solver_config = |
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{name: string, |
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class: Proof.context -> SMT_Util.class, |
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avail: unit -> bool, |
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command: unit -> string list, |
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options: Proof.context -> string list, |
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smt_options: (string * string) list, |
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default_max_relevant: int, |
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outcome: string -> string list -> outcome * string list, |
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parse_proof: (Proof.context -> SMT_Translate.replay_data -> |
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((string * ATP_Problem_Generate.stature) * thm) list -> term list -> term -> string list -> |
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parsed_proof) option, |
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replay: (Proof.context -> SMT_Translate.replay_data -> string list -> thm) option} |
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(*registry*) |
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val add_solver: solver_config -> theory -> theory |
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val default_max_relevant: Proof.context -> string -> int |
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(*filter*) |
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val smt_filter: Proof.context -> thm -> ((string * ATP_Problem_Generate.stature) * thm) list -> |
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int -> Time.time -> parsed_proof |
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(*tactic*) |
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val smt_tac: Proof.context -> thm list -> int -> tactic |
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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_command command options problem_path proof_path = |
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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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|> space_implode " " |
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fun with_trace 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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with_trace ctxt ("Invoking SMT solver " ^ quote name ^ " ...") (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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if Config.get ctxt SMT_Config.read_only_certificates then |
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error ("Bad certificate cache: missing certificate") |
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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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with_trace ctxt ("Using cached certificate from " ^ |
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File.shell_path (Cache_IO.cache_path_of certs) ^ " ...") I output)) |
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(* Z3 returns 1 if "get-model" or "get-model" fails *) |
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val normal_return_codes = [0, 1] |
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fun run_solver ctxt name mk_cmd input = |
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let |
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fun pretty tag lines = Pretty.string_of (Pretty.big_list tag (map Pretty.str lines)) |
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val _ = SMT_Config.trace_msg ctxt (pretty "Problem:" o split_lines) input |
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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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val output = fst (take_suffix (equal "") res) |
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val _ = SMT_Config.trace_msg ctxt (pretty "Result:") output |
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val _ = member (op =) normal_return_codes return_code orelse |
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raise SMT_Failure.SMT (SMT_Failure.Abnormal_Termination return_code) |
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in output 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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fun trace_replay_data ({context = ctxt, typs, terms, ...} : SMT_Translate.replay_data) = |
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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 smt_options 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 = [space_implode " " options] |
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val (str, replay_data as {context = ctxt', ...}) = |
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ithms |
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|> tap (trace_assms ctxt) |
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|> SMT_Translate.translate ctxt smt_options comments |
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||> tap trace_replay_data |
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in (run_solver ctxt' name (make_command command options) str, replay_data) end |
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end |
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(* configuration *) |
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datatype outcome = Unsat | Sat | Unknown |
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type parsed_proof = |
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{outcome: SMT_Failure.failure option, |
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fact_ids: (int * ((string * ATP_Problem_Generate.stature) * thm)) list option, |
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atp_proof: unit -> (term, string) ATP_Proof.atp_step list} |
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type solver_config = |
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{name: string, |
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class: Proof.context -> SMT_Util.class, |
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avail: unit -> bool, |
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command: unit -> string list, |
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options: Proof.context -> string list, |
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smt_options: (string * string) list, |
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default_max_relevant: int, |
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outcome: string -> string list -> outcome * string list, |
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parse_proof: (Proof.context -> SMT_Translate.replay_data -> |
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((string * ATP_Problem_Generate.stature) * thm) list -> term list -> term -> string list -> |
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parsed_proof) option, |
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replay: (Proof.context -> SMT_Translate.replay_data -> string list -> thm) option} |
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(* check well-sortedness *) |
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val has_topsort = Term.exists_type (Term.exists_subtype (fn |
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TFree (_, []) => true |
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| TVar (_, []) => true |
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| _ => false)) |
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(* top sorts cause problems with atomization *) |
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fun check_topsort ctxt thm = |
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if has_topsort (Thm.prop_of thm) then (SMT_Normalize.drop_fact_warning ctxt thm; TrueI) else thm |
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(* registry *) |
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type solver_info = { |
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command: unit -> string list, |
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smt_options: (string * string) list, |
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default_max_relevant: int, |
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parse_proof: Proof.context -> SMT_Translate.replay_data -> |
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((string * ATP_Problem_Generate.stature) * thm) list -> term list -> term -> string list -> |
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parsed_proof, |
|
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replay: Proof.context -> SMT_Translate.replay_data -> string list -> thm} |
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|
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structure Solvers = Generic_Data |
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( |
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type T = solver_info Symtab.table |
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val empty = Symtab.empty |
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val extend = I |
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fun merge data = Symtab.merge (K true) data |
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) |
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local |
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fun parse_proof outcome parse_proof0 outer_ctxt replay_data xfacts prems concl output = |
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(case outcome output of |
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(Unsat, lines) => |
196 |
(case parse_proof0 of |
|
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SOME pp => pp outer_ctxt replay_data xfacts prems concl lines |
|
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| NONE => {outcome = NONE, fact_ids = NONE, atp_proof = K []}) |
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| (result, _) => raise SMT_Failure.SMT (SMT_Failure.Counterexample (result = Sat))) |
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|
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fun replay outcome replay0 oracle outer_ctxt |
|
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(replay_data as {context = ctxt, ...} : SMT_Translate.replay_data) output = |
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(case outcome output of |
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(Unsat, lines) => |
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if not (Config.get ctxt SMT_Config.oracle) andalso is_some replay0 |
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then the replay0 outer_ctxt replay_data lines |
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else oracle () |
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| (result, _) => raise SMT_Failure.SMT (SMT_Failure.Counterexample (result = Sat))) |
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|
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val cfalse = Thm.cterm_of @{context} @{prop False} |
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in |
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|
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fun add_solver ({name, class, avail, command, options, smt_options, default_max_relevant, outcome, |
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parse_proof = parse_proof0, replay = replay0} : solver_config) = |
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let |
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fun solver oracle = { |
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command = command, |
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smt_options = smt_options, |
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default_max_relevant = default_max_relevant, |
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parse_proof = parse_proof (outcome name) parse_proof0, |
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replay = replay (outcome name) replay0 oracle} |
|
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|
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val info = {name = name, class = class, avail = avail, options = options} |
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in |
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Thm.add_oracle (Binding.name name, K cfalse) #-> (fn (_, oracle) => |
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Context.theory_map (Solvers.map (Symtab.update_new (name, solver oracle)))) #> |
|
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Context.theory_map (SMT_Config.add_solver info) |
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end |
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end |
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|
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fun get_info ctxt name = the (Symtab.lookup (Solvers.get (Context.Proof ctxt)) name) |
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|
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fun name_and_info_of ctxt = |
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let val name = SMT_Config.solver_of ctxt |
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in (name, get_info ctxt name) end |
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|
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val default_max_relevant = #default_max_relevant oo get_info |
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|
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fun apply_solver_and_replay ctxt thms0 = |
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let |
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val thms = map (check_topsort ctxt) thms0 |
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val (name, {command, smt_options, replay, ...}) = name_and_info_of ctxt |
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val (output, replay_data) = |
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invoke name command smt_options (SMT_Normalize.normalize ctxt thms) ctxt |
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in replay ctxt replay_data output end |
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|
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|
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(* filter *) |
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|
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fun smt_filter ctxt0 goal xfacts i time_limit = |
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let |
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val ctxt = ctxt0 |> Config.put SMT_Config.timeout (Time.toReal time_limit) |
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|
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Variable.focus etc.: optional bindings provided by user;
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val ({context = ctxt, prems, concl, ...}, _) = Subgoal.focus ctxt i NONE goal |
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fun negate ct = Thm.dest_comb ct ||> Thm.apply @{cterm Not} |-> Thm.apply |
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val cprop = |
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(case try negate (Thm.rhs_of (SMT_Normalize.atomize_conv ctxt concl)) of |
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SOME ct => ct |
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| NONE => raise SMT_Failure.SMT (SMT_Failure.Other_Failure "cannot atomize goal")) |
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|
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val conjecture = Thm.assume cprop |
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val facts = map snd xfacts |
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val thms = conjecture :: prems @ facts |
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val thms' = map (check_topsort ctxt) thms |
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|
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val (name, {command, smt_options, parse_proof, ...}) = name_and_info_of ctxt |
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val (output, replay_data) = |
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invoke name command smt_options (SMT_Normalize.normalize ctxt thms') ctxt |
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in |
271 |
parse_proof ctxt replay_data xfacts (map Thm.prop_of prems) (Thm.term_of concl) output |
|
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end |
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handle SMT_Failure.SMT fail => {outcome = SOME fail, fact_ids = NONE, atp_proof = K []} |
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|
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|
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(* SMT tactic *) |
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local |
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fun str_of ctxt fail = |
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"Solver " ^ SMT_Config.solver_of ctxt ^ ": " ^ SMT_Failure.string_of_failure fail |
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|
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fun safe_solve ctxt facts = SOME (apply_solver_and_replay ctxt facts) |
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handle |
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SMT_Failure.SMT (fail as SMT_Failure.Counterexample _) => |
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(SMT_Config.verbose_msg ctxt (str_of ctxt) fail; NONE) |
|
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| SMT_Failure.SMT (fail as SMT_Failure.Time_Out) => |
|
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error ("SMT: Solver " ^ quote (SMT_Config.solver_of ctxt) ^ ": " ^ |
|
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SMT_Failure.string_of_failure fail ^ " (setting the " ^ |
|
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"configuration option " ^ quote (Config.name_of SMT_Config.timeout) ^ " might help)") |
|
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| SMT_Failure.SMT fail => error (str_of ctxt fail) |
|
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|
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fun resolve ctxt (SOME thm) = resolve_tac ctxt [thm] 1 |
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| resolve _ NONE = no_tac |
|
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|
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fun tac prove ctxt rules = |
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CONVERSION (SMT_Normalize.atomize_conv ctxt) |
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THEN' resolve_tac ctxt @{thms ccontr} |
298 |
THEN' SUBPROOF (fn {context = ctxt', prems, ...} => |
|
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resolve ctxt' (prove ctxt' (rules @ prems))) ctxt |
|
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in |
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|
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val smt_tac = tac safe_solve |
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val smt_tac' = tac (SOME oo apply_solver_and_replay) |
|
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|
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end |
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|
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end; |