src/HOL/Tools/Sledgehammer/sledgehammer.ML
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(*  Title:      HOL/Tools/Sledgehammer/sledgehammer.ML
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    Author:     Fabian Immler, TU Muenchen
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    Author:     Makarius
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    Author:     Jasmin Blanchette, TU Muenchen
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Sledgehammer's heart.
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*)
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signature SLEDGEHAMMER =
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sig
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  type failure = ATP_Systems.failure
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  type locality = Sledgehammer_Filter.locality
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  type relevance_override = Sledgehammer_Filter.relevance_override
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  type minimize_command = Sledgehammer_Reconstruct.minimize_command
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  type params =
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    {blocking: bool,
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     debug: bool,
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     verbose: bool,
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     overlord: bool,
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     atps: string list,
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     full_types: bool,
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     explicit_apply: bool,
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     relevance_thresholds: real * real,
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     max_relevant: int option,
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     theory_relevant: bool option,
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     isar_proof: bool,
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     isar_shrink_factor: int,
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     timeout: Time.time,
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     expect: string}
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  type problem =
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    {subgoal: int,
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     goal: Proof.context * (thm list * thm),
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     relevance_override: relevance_override,
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     axioms: ((string * locality) * thm) list option}
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  type prover_result =
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    {outcome: failure option,
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     message: string,
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     pool: string Symtab.table,
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     used_thm_names: (string * locality) list,
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     atp_run_time_in_msecs: int,
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     output: string,
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     proof: string,
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     axiom_names: (string * locality) list vector,
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     conjecture_shape: int list list}
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  type prover = params -> minimize_command -> problem -> prover_result
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  val dest_dir : string Config.T
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  val problem_prefix : string Config.T
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  val measure_runtime : bool Config.T
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  val kill_atps: unit -> unit
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  val running_atps: unit -> unit
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  val messages: int option -> unit
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  val get_prover_fun : theory -> string -> prover
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  val run_sledgehammer :
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    params -> int -> relevance_override -> (string -> minimize_command)
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    -> Proof.state -> unit
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  val setup : theory -> theory
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end;
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structure Sledgehammer : SLEDGEHAMMER =
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struct
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open ATP_Problem
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open ATP_Systems
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open Metis_Clauses
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open Sledgehammer_Util
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open Sledgehammer_Filter
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open Sledgehammer_Translate
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open Sledgehammer_Reconstruct
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(** The Sledgehammer **)
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(* Identifier to distinguish Sledgehammer from other tools using
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   "Async_Manager". *)
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val das_Tool = "Sledgehammer"
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fun kill_atps () = Async_Manager.kill_threads das_Tool "ATPs"
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fun running_atps () = Async_Manager.running_threads das_Tool "ATPs"
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val messages = Async_Manager.thread_messages das_Tool "ATP"
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(** problems, results, provers, etc. **)
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type params =
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  {blocking: bool,
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   debug: bool,
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   verbose: bool,
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   overlord: bool,
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   atps: string list,
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   full_types: bool,
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   explicit_apply: bool,
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   relevance_thresholds: real * real,
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   max_relevant: int option,
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   theory_relevant: bool option,
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   isar_proof: bool,
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   isar_shrink_factor: int,
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   timeout: Time.time,
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   expect: string}
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type problem =
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  {subgoal: int,
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   goal: Proof.context * (thm list * thm),
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   relevance_override: relevance_override,
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   axioms: ((string * locality) * thm) list option}
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type prover_result =
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  {outcome: failure option,
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   message: string,
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   pool: string Symtab.table,
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   used_thm_names: (string * locality) list,
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   atp_run_time_in_msecs: int,
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   output: string,
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   proof: string,
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   axiom_names: (string * locality) list vector,
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   conjecture_shape: int list list}
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type prover = params -> minimize_command -> problem -> prover_result
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(* configuration attributes *)
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val (dest_dir, dest_dir_setup) = Attrib.config_string "atp_dest_dir" (K "");
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  (*Empty string means create files in Isabelle's temporary files directory.*)
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val (problem_prefix, problem_prefix_setup) =
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  Attrib.config_string "atp_problem_prefix" (K "prob");
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val (measure_runtime, measure_runtime_setup) =
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  Attrib.config_bool "atp_measure_runtime" (K false);
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fun with_path cleanup after f path =
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  Exn.capture f path
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  |> tap (fn _ => cleanup path)
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  |> Exn.release
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  |> tap (after path)
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(* Splits by the first possible of a list of delimiters. *)
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fun extract_proof delims output =
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  case pairself (find_first (fn s => String.isSubstring s output))
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                (ListPair.unzip delims) of
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    (SOME begin_delim, SOME end_delim) =>
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    (output |> first_field begin_delim |> the |> snd
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            |> first_field end_delim |> the |> fst
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            |> first_field "\n" |> the |> snd
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     handle Option.Option => "")
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  | _ => ""
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fun extract_proof_and_outcome complete res_code proof_delims known_failures
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                              output =
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  case known_failure_in_output output known_failures of
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    NONE => (case extract_proof proof_delims output of
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             "" => ("", SOME MalformedOutput)
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           | proof => if res_code = 0 then (proof, NONE)
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                      else ("", SOME UnknownError))
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  | SOME failure =>
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    ("", SOME (if failure = IncompleteUnprovable andalso complete then
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                 Unprovable
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               else
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                 failure))
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fun extract_clause_sequence output =
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  let
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    val tokens_of = String.tokens (not o Char.isAlphaNum)
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    fun extract_num ("clause" :: (ss as _ :: _)) =
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    Int.fromString (List.last ss)
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      | extract_num _ = NONE
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  in output |> split_lines |> map_filter (extract_num o tokens_of) end
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val set_ClauseFormulaRelationN = "set_ClauseFormulaRelation"
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val parse_clause_formula_pair =
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  $$ "(" |-- scan_integer --| $$ ","
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  -- (Symbol.scan_id ::: Scan.repeat ($$ "," |-- Symbol.scan_id)) --| $$ ")"
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  --| Scan.option ($$ ",")
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val parse_clause_formula_relation =
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  Scan.this_string set_ClauseFormulaRelationN |-- $$ "("
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  |-- Scan.repeat parse_clause_formula_pair
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val extract_clause_formula_relation =
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  Substring.full #> Substring.position set_ClauseFormulaRelationN
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  #> snd #> Substring.string #> strip_spaces_except_between_ident_chars
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  #> explode #> parse_clause_formula_relation #> fst
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(* TODO: move to "Sledgehammer_Reconstruct" *)
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fun repair_conjecture_shape_and_theorem_names output conjecture_shape
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                                              axiom_names =
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  if String.isSubstring set_ClauseFormulaRelationN output then
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    (* This is a hack required for keeping track of axioms after they have been
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       clausified by SPASS's Flotter tool. The "ATP/scripts/spass" script is
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       also part of this hack. *)
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    let
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      val j0 = hd (hd conjecture_shape)
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      val seq = extract_clause_sequence output
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      val name_map = extract_clause_formula_relation output
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      fun renumber_conjecture j =
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        conjecture_prefix ^ string_of_int (j - j0)
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        |> AList.find (fn (s, ss) => member (op =) ss s) name_map
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        |> map (fn s => find_index (curry (op =) s) seq + 1)
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      fun names_for_number j =
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        j |> AList.lookup (op =) name_map |> these
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          |> map_filter (try (unprefix axiom_prefix)) |> map unascii_of
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          |> map (fn name =>
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                     (name, name |> find_first_in_list_vector axiom_names
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                                 |> the)
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                     handle Option.Option =>
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                            error ("No such fact: " ^ quote name ^ "."))
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    in
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      (conjecture_shape |> map (maps renumber_conjecture),
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       seq |> map names_for_number |> Vector.fromList)
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    end
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  else
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    (conjecture_shape, axiom_names)
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(* generic TPTP-based provers *)
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fun prover_fun atp_name
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        {exec, required_execs, arguments, has_incomplete_mode, proof_delims,
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         known_failures, default_max_relevant, default_theory_relevant,
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         explicit_forall, use_conjecture_for_hypotheses}
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        ({debug, verbose, overlord, full_types, explicit_apply,
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          relevance_thresholds, max_relevant, theory_relevant, isar_proof,
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          isar_shrink_factor, timeout, ...} : params)
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        minimize_command
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        ({subgoal, goal = (ctxt, (chained_ths, th)), relevance_override,
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          axioms} : problem) =
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  let
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    val (_, hyp_ts, concl_t) = strip_subgoal th subgoal
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    val print = priority
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    fun print_v f = () |> verbose ? print o f
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    fun print_d f = () |> debug ? print o f
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    val the_axioms =
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      case axioms of
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        SOME axioms => axioms
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      | NONE =>
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        (relevant_facts ctxt full_types relevance_thresholds
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                        (the_default default_max_relevant max_relevant)
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                        (the_default default_theory_relevant theory_relevant)
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                        relevance_override chained_ths hyp_ts concl_t
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         |> tap ((fn n => print_v (fn () =>
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                          "Selected " ^ string_of_int n ^ " fact" ^ plural_s n ^
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                          " for " ^ quote atp_name ^ ".")) o length))
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    (* path to unique problem file *)
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    val the_dest_dir = if overlord then getenv "ISABELLE_HOME_USER"
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                       else Config.get ctxt dest_dir;
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    val the_problem_prefix = Config.get ctxt problem_prefix;
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    fun prob_pathname nr =
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      let
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        val probfile =
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          Path.basic ((if overlord then "prob_" ^ atp_name
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                       else the_problem_prefix ^ serial_string ())
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                      ^ "_" ^ string_of_int nr)
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      in
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        if the_dest_dir = "" then File.tmp_path probfile
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        else if File.exists (Path.explode the_dest_dir)
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        then Path.append (Path.explode the_dest_dir) probfile
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        else error ("No such directory: " ^ quote the_dest_dir ^ ".")
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      end;
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    val measure_run_time = verbose orelse Config.get ctxt measure_runtime
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    val command = Path.explode (getenv (fst exec) ^ "/" ^ snd exec)
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    (* write out problem file and call prover *)
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    fun command_line complete timeout probfile =
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      let
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        val core = File.shell_path command ^ " " ^ arguments complete timeout ^
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                   " " ^ File.shell_path probfile
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      in
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        (if measure_run_time then "TIMEFORMAT='%3U'; { time " ^ core ^ " ; }"
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         else "exec " ^ core) ^ " 2>&1"
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      end
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    fun split_time s =
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      let
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        val split = String.tokens (fn c => str c = "\n");
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        val (output, t) = s |> split |> split_last |> apfst cat_lines;
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        fun as_num f = f >> (fst o read_int);
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        val num = as_num (Scan.many1 Symbol.is_ascii_digit);
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        val digit = Scan.one Symbol.is_ascii_digit;
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        val num3 = as_num (digit ::: digit ::: (digit >> single));
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        val time = num --| Scan.$$ "." -- num3 >> (fn (a, b) => a * 1000 + b);
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        val as_time = the_default 0 o Scan.read Symbol.stopper time o explode;
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      in (output, as_time t) end;
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    fun run_on probfile =
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      case filter (curry (op =) "" o getenv o fst) (exec :: required_execs) of
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        (home_var, _) :: _ =>
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        error ("The environment variable " ^ quote home_var ^ " is not set.")
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      | [] =>
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        if File.exists command then
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          let
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            fun do_run complete timeout =
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              let
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                val command = command_line complete timeout probfile
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                val ((output, msecs), res_code) =
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                  bash_output command
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                  |>> (if overlord then
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                         prefix ("% " ^ command ^ "\n% " ^ timestamp () ^ "\n")
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                       else
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                         I)
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                  |>> (if measure_run_time then split_time else rpair 0)
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                val (proof, outcome) =
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                  extract_proof_and_outcome complete res_code proof_delims
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                                            known_failures output
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              in (output, msecs, proof, outcome) end
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            val readable_names = debug andalso overlord
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            val (problem, pool, conjecture_offset, axiom_names) =
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              prepare_problem ctxt readable_names explicit_forall full_types
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                              explicit_apply hyp_ts concl_t the_axioms
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            val ss = strings_for_tptp_problem use_conjecture_for_hypotheses
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                                              problem
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            val _ = File.write_list probfile ss
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            val conjecture_shape =
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              conjecture_offset + 1 upto conjecture_offset + length hyp_ts + 1
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              |> map single
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            val _ = print_d (fn () => "Running " ^ quote atp_name ^ "...")
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            val timer = Timer.startRealTimer ()
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            val result =
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              do_run false (if has_incomplete_mode then
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                              Time.fromMilliseconds
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                                         (2 * Time.toMilliseconds timeout div 3)
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                            else
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                              timeout)
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              |> has_incomplete_mode
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                 ? (fn (_, msecs0, _, SOME _) =>
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                       do_run true
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                              (Time.- (timeout, Timer.checkRealTimer timer))
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                       |> (fn (output, msecs, proof, outcome) =>
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                              (output, msecs0 + msecs, proof, outcome))
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                     | result => result)
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          in ((pool, conjecture_shape, axiom_names), result) end
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        else
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          error ("Bad executable: " ^ Path.implode command ^ ".")
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    (* If the problem file has not been exported, remove it; otherwise, export
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       the proof file too. *)
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    fun cleanup probfile =
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      if the_dest_dir = "" then try File.rm probfile else NONE
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    fun export probfile (_, (output, _, _, _)) =
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      if the_dest_dir = "" then
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        ()
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      else
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        File.write (Path.explode (Path.implode probfile ^ "_proof")) output
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    val ((pool, conjecture_shape, axiom_names),
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         (output, msecs, proof, outcome)) =
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      with_path cleanup export run_on (prob_pathname subgoal)
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    val (conjecture_shape, axiom_names) =
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      repair_conjecture_shape_and_theorem_names output conjecture_shape
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                                                axiom_names
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    val (message, used_thm_names) =
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      case outcome of
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        NONE =>
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        proof_text isar_proof
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            (pool, debug, isar_shrink_factor, ctxt, conjecture_shape)
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            (full_types, minimize_command, proof, axiom_names, th, subgoal)
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        |>> (fn message =>
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                message ^ (if verbose then
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                             "\nATP CPU time: " ^ string_of_int msecs ^ " ms."
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                           else
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                             ""))
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      | SOME failure => (string_for_failure failure, [])
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  in
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    {outcome = outcome, message = message, pool = pool,
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     used_thm_names = used_thm_names, atp_run_time_in_msecs = msecs,
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     output = output, proof = proof, axiom_names = axiom_names,
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     conjecture_shape = conjecture_shape}
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  end
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fun get_prover_fun thy name = prover_fun name (get_prover thy name)
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fun start_prover_thread (params as {blocking, verbose, full_types, timeout,
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                                    expect, ...})
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                        i n relevance_override minimize_command proof_state
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                        atp_name =
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  let
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    val thy = Proof.theory_of proof_state
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    val birth_time = Time.now ()
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    val death_time = Time.+ (birth_time, timeout)
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    val prover = get_prover_fun thy atp_name
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    val {context = ctxt, facts, goal} = Proof.goal proof_state;
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    val desc =
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      "ATP " ^ quote atp_name ^ " for subgoal " ^ string_of_int i ^ ":" ^
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      (if blocking then
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         ""
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       else
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         "\n" ^ Syntax.string_of_term ctxt (Thm.term_of (Thm.cprem_of goal i)))
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    fun run () =
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      let
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        val problem =
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          {subgoal = i, goal = (ctxt, (facts, goal)),
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           relevance_override = relevance_override, axioms = NONE}
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        val (outcome_code, message) =
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          prover params (minimize_command atp_name) problem
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          |> (fn {outcome, message, ...} =>
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                 (if is_some outcome then "none" else "some", message))
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          handle ERROR message => ("unknown", "Error: " ^ message ^ "\n")
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               | exn => ("unknown", "Internal error:\n" ^
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                                    ML_Compiler.exn_message exn ^ "\n")
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      in
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        if expect = "" orelse outcome_code = expect then
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          ()
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        else if blocking then
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          error ("Unexpected outcome: " ^ quote outcome_code ^ ".")
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        else
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          warning ("Unexpected outcome: " ^ quote outcome_code ^ ".");
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        message
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      end
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  in
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    if blocking then priority (desc ^ "\n" ^ TimeLimit.timeLimit timeout run ())
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    else Async_Manager.launch das_Tool verbose birth_time death_time desc run
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  end
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fun run_sledgehammer {atps = [], ...} _ _ _ _ = error "No ATP is set."
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  | run_sledgehammer (params as {blocking, atps, ...}) i relevance_override
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                     minimize_command state =
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    case subgoal_count state of
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      0 => priority "No subgoal!"
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    | n =>
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      let
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        val _ = kill_atps ()
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        val _ = priority "Sledgehammering..."
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        val _ =
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          (if blocking then Par_List.map else map)
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              (start_prover_thread params i n relevance_override
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                                   minimize_command state) atps
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      in () end
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val setup =
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  dest_dir_setup
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  #> problem_prefix_setup
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  #> measure_runtime_setup
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end;