src/HOL/Tools/Sledgehammer/sledgehammer_prover_smt2.ML
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use 'simp add:' syntax in Sledgehammer rather than 'using'
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(*  Title:      HOL/Tools/Sledgehammer/sledgehammer_prover_smt2.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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SMT solvers as Sledgehammer provers.
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*)
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signature SLEDGEHAMMER_PROVER_SMT2 =
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sig
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  type stature = ATP_Problem_Generate.stature
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  type mode = Sledgehammer_Prover.mode
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  type prover = Sledgehammer_Prover.prover
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  val smt2_builtins : bool Config.T
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  val smt2_triggers : bool Config.T
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  val smt2_weights : bool Config.T
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  val smt2_weight_min_facts : int Config.T
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  val smt2_min_weight : int Config.T
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  val smt2_max_weight : int Config.T
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  val smt2_max_weight_index : int Config.T
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  val smt2_weight_curve : (int -> int) Unsynchronized.ref
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  val smt2_max_slices : int Config.T
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  val smt2_slice_fact_frac : real Config.T
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  val smt2_slice_time_frac : real Config.T
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  val smt2_slice_min_secs : int Config.T
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  val is_smt2_prover : Proof.context -> string -> bool
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  val run_smt2_solver : mode -> string -> prover
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end;
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structure Sledgehammer_Prover_SMT2 : SLEDGEHAMMER_PROVER_SMT2 =
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struct
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open ATP_Util
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open ATP_Proof
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open ATP_Systems
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open ATP_Problem_Generate
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open ATP_Proof_Reconstruct
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open Sledgehammer_Util
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open Sledgehammer_Proof_Methods
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open Sledgehammer_Isar
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open Sledgehammer_Prover
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val smt2_builtins = Attrib.setup_config_bool @{binding sledgehammer_smt2_builtins} (K true)
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val smt2_triggers = Attrib.setup_config_bool @{binding sledgehammer_smt2_triggers} (K true)
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val smt2_weights = Attrib.setup_config_bool @{binding sledgehammer_smt2_weights} (K true)
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val smt2_weight_min_facts =
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  Attrib.setup_config_int @{binding sledgehammer_smt2_weight_min_facts} (K 20)
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val is_smt2_prover = member (op =) o SMT2_Config.available_solvers_of
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(* FUDGE *)
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val smt2_min_weight = Attrib.setup_config_int @{binding sledgehammer_smt2_min_weight} (K 0)
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val smt2_max_weight = Attrib.setup_config_int @{binding sledgehammer_smt2_max_weight} (K 10)
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val smt2_max_weight_index =
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  Attrib.setup_config_int @{binding sledgehammer_smt2_max_weight_index} (K 200)
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val smt2_weight_curve = Unsynchronized.ref (fn x : int => x * x)
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fun smt2_fact_weight ctxt j num_facts =
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  if Config.get ctxt smt2_weights andalso num_facts >= Config.get ctxt smt2_weight_min_facts then
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    let
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      val min = Config.get ctxt smt2_min_weight
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      val max = Config.get ctxt smt2_max_weight
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      val max_index = Config.get ctxt smt2_max_weight_index
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      val curve = !smt2_weight_curve
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    in
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      SOME (max - (max - min + 1) * curve (Int.max (0, max_index - j - 1)) div curve max_index)
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    end
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  else
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    NONE
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fun weight_smt2_fact ctxt num_facts ((info, th), j) =
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  let val thy = Proof_Context.theory_of ctxt in
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    (info, (smt2_fact_weight ctxt j num_facts, Thm.transfer thy th (* TODO: needed? *)))
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  end
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(* "SMT2_Failure.Abnormal_Termination" carries the solver's return code. Until these are sorted out
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   properly in the SMT module, we must interpret these here. *)
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val z3_failures =
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  [(101, OutOfResources),
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   (103, MalformedInput),
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   (110, MalformedInput),
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   (112, TimedOut)]
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val unix_failures =
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  [(138, Crashed),
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   (139, Crashed)]
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val smt2_failures = z3_failures @ unix_failures
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fun failure_of_smt2_failure (SMT2_Failure.Counterexample {is_real_cex, ...}) =
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    if is_real_cex then Unprovable else GaveUp
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  | failure_of_smt2_failure SMT2_Failure.Time_Out = TimedOut
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  | failure_of_smt2_failure (SMT2_Failure.Abnormal_Termination code) =
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    (case AList.lookup (op =) smt2_failures code of
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      SOME failure => failure
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    | NONE => UnknownError ("Abnormal termination with exit code " ^ string_of_int code ^ "."))
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  | failure_of_smt2_failure SMT2_Failure.Out_Of_Memory = OutOfResources
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  | failure_of_smt2_failure (SMT2_Failure.Other_Failure s) = UnknownError s
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(* FUDGE *)
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val smt2_max_slices = Attrib.setup_config_int @{binding sledgehammer_smt2_max_slices} (K 8)
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val smt2_slice_fact_frac =
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  Attrib.setup_config_real @{binding sledgehammer_smt2_slice_fact_frac} (K 0.667)
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val smt2_slice_time_frac =
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  Attrib.setup_config_real @{binding sledgehammer_smt2_slice_time_frac} (K 0.333)
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val smt2_slice_min_secs = Attrib.setup_config_int @{binding sledgehammer_smt2_slice_min_secs} (K 3)
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val is_boring_builtin_typ =
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  not o exists_subtype (member (op =) [@{typ nat}, @{typ int}, HOLogic.realT])
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fun smt2_filter_loop name ({debug, overlord, max_mono_iters, max_new_mono_instances, timeout, slice,
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      ...} : params) state goal i =
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  let
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    fun repair_context ctxt =
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      ctxt |> Context.proof_map (SMT2_Config.select_solver name)
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           |> Config.put SMT2_Config.verbose debug
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           |> (if overlord then
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                 Config.put SMT2_Config.debug_files
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                   (overlord_file_location_of_prover name |> (fn (path, name) => path ^ "/" ^ name))
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               else
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                 I)
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           |> Config.put SMT2_Config.infer_triggers (Config.get ctxt smt2_triggers)
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           |> not (Config.get ctxt smt2_builtins)
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              ? (SMT2_Builtin.filter_builtins is_boring_builtin_typ
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                 #> Config.put SMT2_Systems.z3_extensions false)
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           |> repair_monomorph_context max_mono_iters default_max_mono_iters max_new_mono_instances
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                default_max_new_mono_instances
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    val state = Proof.map_context (repair_context) state
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    val ctxt = Proof.context_of state
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    val max_slices = if slice then Config.get ctxt smt2_max_slices else 1
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    fun do_slice timeout slice outcome0 time_so_far
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        (weighted_factss as (fact_filter, weighted_facts) :: _) =
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      let
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        val timer = Timer.startRealTimer ()
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        val slice_timeout =
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          if slice < max_slices then
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            let val ms = Time.toMilliseconds timeout in
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              Int.min (ms, Int.max (1000 * Config.get ctxt smt2_slice_min_secs,
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                Real.ceil (Config.get ctxt smt2_slice_time_frac * Real.fromInt ms)))
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              |> Time.fromMilliseconds
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            end
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          else
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            timeout
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        val num_facts = length weighted_facts
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        val _ =
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          if debug then
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            quote name ^ " slice " ^ string_of_int slice ^ " with " ^ string_of_int num_facts ^
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            " fact" ^ plural_s num_facts ^ " for " ^ string_of_time slice_timeout
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            |> Output.urgent_message
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          else
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            ()
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        val birth = Timer.checkRealTimer timer
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        val _ = if debug then Output.urgent_message "Invoking SMT solver..." else ()
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        val filter_result as {outcome, ...} =
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          SMT2_Solver.smt2_filter ctxt goal weighted_facts i slice_timeout
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          handle exn =>
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            if Exn.is_interrupt exn orelse debug then
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              reraise exn
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            else
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              {outcome = SOME (SMT2_Failure.Other_Failure (Runtime.exn_message exn)),
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               rewrite_rules = [], conjecture_id = ~1, prem_ids = [], helper_ids = [],
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               fact_ids = [], z3_proof = []}
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        val death = Timer.checkRealTimer timer
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        val outcome0 = if is_none outcome0 then SOME outcome else outcome0
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        val time_so_far = Time.+ (time_so_far, Time.- (death, birth))
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        val timeout = Time.- (timeout, Timer.checkRealTimer timer)
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        val too_many_facts_perhaps =
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          (case outcome of
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            NONE => false
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          | SOME (SMT2_Failure.Counterexample _) => false
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          | SOME SMT2_Failure.Time_Out => slice_timeout <> timeout
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          | SOME (SMT2_Failure.Abnormal_Termination _) => true (* kind of *)
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          | SOME SMT2_Failure.Out_Of_Memory => true
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          | SOME (SMT2_Failure.Other_Failure _) => true)
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      in
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        if too_many_facts_perhaps andalso slice < max_slices andalso num_facts > 0 andalso
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           Time.> (timeout, Time.zeroTime) then
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          let
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            val new_num_facts =
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              Real.ceil (Config.get ctxt smt2_slice_fact_frac * Real.fromInt num_facts)
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            val weighted_factss as (new_fact_filter, _) :: _ =
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              weighted_factss
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              |> (fn (x :: xs) => xs @ [x])
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              |> app_hd (apsnd (take new_num_facts))
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            val show_filter = fact_filter <> new_fact_filter
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            fun num_of_facts fact_filter num_facts =
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              string_of_int num_facts ^ (if show_filter then " " ^ quote fact_filter else "") ^
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              " fact" ^ plural_s num_facts
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            val _ =
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              if debug then
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                quote name ^ " invoked with " ^
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                num_of_facts fact_filter num_facts ^ ": " ^
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                string_of_atp_failure (failure_of_smt2_failure (the outcome)) ^
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                " Retrying with " ^ num_of_facts new_fact_filter new_num_facts ^
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                "..."
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                |> Output.urgent_message
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              else
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                ()
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          in
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            do_slice timeout (slice + 1) outcome0 time_so_far weighted_factss
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          end
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        else
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          {outcome = if is_none outcome then NONE else the outcome0, filter_result = filter_result,
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           used_from = map (apsnd snd) weighted_facts, run_time = time_so_far}
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      end
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  in
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    do_slice timeout 1 NONE Time.zeroTime
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  end
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fun run_smt2_solver mode name (params as {debug, verbose, isar_proofs, compress_isar,
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      try0_isar, smt_proofs, minimize, preplay_timeout, ...})
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    minimize_command ({state, goal, subgoal, subgoal_count, factss, ...} : prover_problem) =
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  let
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    val thy = Proof.theory_of state
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    val ctxt = Proof.context_of state
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    val (_, hyp_ts, concl_t) = strip_subgoal goal subgoal ctxt
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    fun weight_facts facts =
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      let val num_facts = length facts in
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        map (weight_smt2_fact ctxt num_facts) (facts ~~ (0 upto num_facts - 1))
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      end
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    val weighted_factss = map (apsnd weight_facts) factss
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    val {outcome, filter_result = {rewrite_rules, conjecture_id, prem_ids, helper_ids, fact_ids,
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           z3_proof, ...}, used_from, run_time} =
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      smt2_filter_loop name params state goal subgoal weighted_factss
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    val used_named_facts = map snd fact_ids
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    val used_facts = map fst used_named_facts
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    val outcome = Option.map failure_of_smt2_failure outcome
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    val (preplay, message, message_tail) =
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      (case outcome of
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        NONE =>
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        (Lazy.lazy (fn () =>
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           play_one_line_proof mode debug verbose preplay_timeout used_named_facts state subgoal
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             SMT2_Method (bunch_of_proof_methods (smt_proofs <> SOME false) false liftingN)),
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         fn preplay =>
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            let
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              val fact_ids =
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                map (fn (id, th) => (id, short_thm_name ctxt th)) helper_ids @
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                map (fn (id, ((name, _), _)) => (id, name)) fact_ids
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              val atp_proof = Z3_New_Isar.atp_proof_of_z3_proof ctxt rewrite_rules hyp_ts concl_t
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                prem_ids conjecture_id fact_ids z3_proof
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              val isar_params =
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                K (verbose, (NONE, NONE), preplay_timeout, compress_isar, try0_isar,
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                   minimize <> SOME false, atp_proof, goal)
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              val one_line_params =
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                (preplay, proof_banner mode name, used_facts,
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                 choose_minimize_command thy params minimize_command name preplay, subgoal,
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                 subgoal_count)
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              val num_chained = length (#facts (Proof.goal state))
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            in
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              proof_text ctxt debug isar_proofs smt_proofs isar_params num_chained one_line_params
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            end,
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         if verbose then "\nSMT solver real CPU time: " ^ string_of_time run_time ^ "." else "")
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      | SOME failure =>
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        (Lazy.value (Metis_Method (NONE, NONE), Play_Failed),
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         fn _ => string_of_atp_failure failure, ""))
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  in
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    {outcome = outcome, used_facts = used_facts, used_from = used_from, run_time = run_time,
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     preplay = preplay, message = message, message_tail = message_tail}
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  end
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end;