(* Title: HOL/Tools/Sledgehammer/sledgehammer_minimize.ML
Author: Philipp Meyer, TU Muenchen
Author: Jasmin Blanchette, TU Muenchen
Minimization of fact list for Metis using external provers.
*)
signature SLEDGEHAMMER_MINIMIZE =
sig
type locality = Sledgehammer_Filter.locality
type params = Sledgehammer_Provers.params
val binary_min_facts : int Unsynchronized.ref
val filter_used_facts : ''a list -> (''a * 'b) list -> (''a * 'b) list
val minimize_facts :
string -> params -> bool option -> bool -> int -> int -> Proof.state
-> ((string * locality) * thm list) list
-> ((string * locality) * thm list) list option * string
val run_minimize :
params -> int -> (Facts.ref * Attrib.src list) list -> Proof.state -> unit
end;
structure Sledgehammer_Minimize : SLEDGEHAMMER_MINIMIZE =
struct
open ATP_Proof
open Sledgehammer_Util
open Sledgehammer_Filter
open Sledgehammer_Provers
(* wrapper for calling external prover *)
fun n_facts names =
let val n = length names in
string_of_int n ^ " fact" ^ plural_s n ^
(if n > 0 then
": " ^ (names |> map fst
|> sort_distinct string_ord |> space_implode " ")
else
"")
end
fun print silent f = if silent then () else Output.urgent_message (f ())
fun test_facts ({debug, verbose, overlord, provers, type_sys, isar_proof,
isar_shrink_factor, ...} : params)
explicit_apply_opt silent (prover : prover) timeout i n state facts =
let
val thy = Proof.theory_of state
val _ =
print silent (fn () =>
"Testing " ^ n_facts (map fst facts) ^
(if verbose then " (timeout: " ^ string_from_time timeout ^ ")"
else "") ^ "...")
val {goal, ...} = Proof.goal state
val explicit_apply =
case explicit_apply_opt of
SOME explicit_apply => explicit_apply
| NONE =>
let val (_, hyp_ts, concl_t) = strip_subgoal goal i in
not (forall (Meson.is_fol_term thy)
(concl_t :: hyp_ts @ maps (map prop_of o snd) facts))
end
val params =
{debug = debug, verbose = false, overlord = overlord, blocking = true,
provers = provers, type_sys = type_sys, explicit_apply = explicit_apply,
relevance_thresholds = (1.01, 1.01), max_relevant = NONE,
isar_proof = isar_proof, isar_shrink_factor = isar_shrink_factor,
timeout = timeout, expect = ""}
val facts =
facts |> maps (fn (n, ths) => ths |> map (Untranslated_Fact o pair n))
val problem =
{state = state, goal = goal, subgoal = i, subgoal_count = n,
facts = facts, smt_filter = NONE}
val result as {outcome, used_facts, ...} = prover params (K "") problem
in
print silent (fn () =>
case outcome of
SOME failure => string_for_failure failure
| NONE => if length used_facts = length facts then "Found proof."
else "Found proof with " ^ n_facts used_facts ^ ".");
result
end
(* minimalization of facts *)
(* The sublinear algorithm works well in almost all situations, except when the
external prover cannot return the list of used facts and hence returns all
facts as used. In that case, the binary algorithm is much more appropriate.
We can usually detect the situation by looking at the number of used facts
reported by the prover. *)
val binary_min_facts = Unsynchronized.ref 20
fun filter_used_facts used = filter (member (op =) used o fst)
fun sublinear_minimize _ [] p = p
| sublinear_minimize test (x :: xs) (seen, result) =
case test (xs @ seen) of
result as {outcome = NONE, used_facts, ...} : prover_result =>
sublinear_minimize test (filter_used_facts used_facts xs)
(filter_used_facts used_facts seen, result)
| _ => sublinear_minimize test xs (x :: seen, result)
fun binary_minimize test xs =
let
fun p xs = #outcome (test xs : prover_result) = NONE
fun split [] p = p
| split [h] (l, r) = (h :: l, r)
| split (h1 :: h2 :: t) (l, r) = split t (h1 :: l, h2 :: r)
fun min _ _ [] = raise Empty
| min _ _ [s0] = [s0]
| min depth sup xs =
let
(*
val _ = warning (replicate_string depth " " ^ "{" ^ (" " ^
n_facts (map fst sup) ^ " and " ^
n_facts (map fst xs)))
*)
val (l0, r0) = split xs ([], [])
in
if p (sup @ l0) then
min (depth + 1) sup l0
else if p (sup @ r0) then
min (depth + 1) sup r0
else
let
val l = min (depth + 1) (sup @ r0) l0
val r = min (depth + 1) (sup @ l) r0
in l @ r end
end
(*
|> tap (fn _ => warning (replicate_string depth " " ^ "}"))
*)
val xs =
case min 0 [] xs of
[x] => if p [] then [] else [x]
| xs => xs
in (xs, test xs) end
(* Give the external prover some slack. The ATP gets further slack because the
Sledgehammer preprocessing time is included in the estimate below but isn't
part of the timeout. *)
val slack_msecs = 200
fun minimize_facts prover_name (params as {timeout, ...}) explicit_apply_opt
silent i n state facts =
let
val ctxt = Proof.context_of state
val prover = get_prover ctxt false prover_name
val msecs = Time.toMilliseconds timeout
val _ = print silent (fn () => "Sledgehammer minimize: " ^
quote prover_name ^ ".")
fun do_test timeout =
test_facts params explicit_apply_opt silent prover timeout i n state
val timer = Timer.startRealTimer ()
in
(case do_test timeout facts of
result as {outcome = NONE, used_facts, ...} =>
let
val time = Timer.checkRealTimer timer
val new_timeout =
Int.min (msecs, Time.toMilliseconds time + slack_msecs)
|> Time.fromMilliseconds
val facts = filter_used_facts used_facts facts
val (min_thms, {message, ...}) =
if length facts >= !binary_min_facts then
binary_minimize (do_test new_timeout) facts
else
sublinear_minimize (do_test new_timeout) facts ([], result)
val n = length min_thms
val _ = print silent (fn () => cat_lines
["Minimized: " ^ string_of_int n ^ " fact" ^ plural_s n] ^
(case length (filter (curry (op =) Chained o snd o fst) min_thms) of
0 => ""
| n => " (including " ^ string_of_int n ^ " chained)") ^ ".")
in (SOME min_thms, message) end
| {outcome = SOME TimedOut, ...} =>
(NONE, "Timeout: You can increase the time limit using the \"timeout\" \
\option (e.g., \"timeout = " ^
string_of_int (10 + msecs div 1000) ^ "\").")
| {message, ...} => (NONE, "Prover error: " ^ message))
handle ERROR msg => (NONE, "Error: " ^ msg)
end
fun run_minimize (params as {provers, ...}) i refs state =
let
val ctxt = Proof.context_of state
val reserved = reserved_isar_keyword_table ()
val chained_ths = #facts (Proof.goal state)
val facts =
refs
|> maps (map (apsnd single) o fact_from_ref ctxt reserved chained_ths)
in
case subgoal_count state of
0 => Output.urgent_message "No subgoal!"
| n => case provers of
[] => error "No prover is set."
| prover :: _ =>
(kill_provers ();
minimize_facts prover params NONE false i n state facts
|> #2 |> Output.urgent_message)
end
end;