open Inference;;
open Utils;;
-type result =
- | Failure
- | Success of Cic.term option * environment
-;;
+(* profiling statistics... *)
+let infer_time = ref 0.;;
+let forward_simpl_time = ref 0.;;
+let backward_simpl_time = ref 0.;;
+
+(* limited-resource-strategy related globals *)
+let processed_clauses = ref 0;; (* number of equalities selected so far... *)
+let time_limit = ref 0.;; (* in seconds, settable by the user... *)
+let start_time = ref 0.;; (* time at which the execution started *)
+let elapsed_time = ref 0.;;
+let maximal_retained_equality = ref None;;
-type equality_sign = Negative | Positive;;
+(* equality-selection related globals *)
+let use_fullred = ref false;;
+let weight_age_ratio = ref 0;; (* settable by the user from the command line *)
+let weight_age_counter = ref !weight_age_ratio;;
+let symbols_ratio = ref 0;;
+let symbols_counter = ref 0;;
-let string_of_sign = function
- | Negative -> "Negative"
- | Positive -> "Positive"
+(* index of the greatest Cic.Meta created - TODO: find a better way! *)
+let maxmeta = ref 0;;
+
+
+type result =
+ | Failure
+ | Success of Cic.term option * environment
;;
;;
*)
-let symbols_of_equality ((_, (_, left, right), _, _) as equality) =
+let symbols_of_equality ((_, (_, left, right, _), _, _) as equality) =
let m1 = symbols_of_term left in
let m =
TermMap.fold
;;
-module OrderedEquality =
-struct
+module OrderedEquality = struct
type t = Inference.equality
let compare eq1 eq2 =
match meta_convertibility_eq eq1 eq2 with
| true -> 0
| false ->
- let _, (ty, left, right), _, _ = eq1
- and _, (ty', left', right'), _, _ = eq2 in
+ let _, (ty, left, right, _), _, _ = eq1
+ and _, (ty', left', right', _), _, _ = eq2 in
let weight_of t = fst (weight_of_term ~consider_metas:false t) in
let w1 = (weight_of ty) + (weight_of left) + (weight_of right)
and w2 = (weight_of ty') + (weight_of left') + (weight_of right') in
module EqualitySet = Set.Make(OrderedEquality);;
-let weight_age_ratio = ref 0;; (* settable by the user from the command line *)
-let weight_age_counter = ref !weight_age_ratio;;
-
-let symbols_ratio = ref 0;;
-let symbols_counter = ref 0;;
-
-
-let select env passive active =
- let (neg_list, neg_set), (pos_list, pos_set) = passive in
+let select env passive (active, _) =
+ processed_clauses := !processed_clauses + 1;
+
+ let (neg_list, neg_set), (pos_list, pos_set), passive_table = passive in
let remove eq l =
- List.filter (fun e -> not (e = eq)) l
+ List.filter (fun e -> e <> eq) l
in
if !weight_age_ratio > 0 then
weight_age_counter := !weight_age_counter - 1;
weight_age_counter := !weight_age_ratio;
match neg_list, pos_list with
| hd::tl, pos ->
- (Negative, hd), ((tl, EqualitySet.remove hd neg_set), (pos, pos_set))
+ (* Negatives aren't indexed, no need to remove them... *)
+ (Negative, hd),
+ ((tl, EqualitySet.remove hd neg_set), (pos, pos_set), passive_table)
| [], hd::tl ->
- (Positive, hd), (([], neg_set), (tl, EqualitySet.remove hd pos_set))
+ let passive_table =
+ Indexing.remove_index passive_table hd
+(* if !use_fullred then Indexing.remove_index passive_table hd *)
+(* else passive_table *)
+ in
+ (Positive, hd),
+ (([], neg_set), (tl, EqualitySet.remove hd pos_set), passive_table)
| _, _ -> assert false
)
| _ when (!symbols_counter > 0) && (EqualitySet.is_empty neg_set) -> (
| (Negative, e)::_ ->
let symbols = symbols_of_equality e in
let card = cardinality symbols in
+ let foldfun k v (r1, r2) =
+ if TermMap.mem k symbols then
+ let c = TermMap.find k symbols in
+ let c1 = abs (c - v) in
+ let c2 = v - c1 in
+ r1 + c2, r2 + c1
+ else
+ r1, r2 + v
+ in
let f equality (i, e) =
let common, others =
- TermMap.fold
- (fun k v (r1, r2) ->
- if TermMap.mem k symbols then
- let c = TermMap.find k symbols in
- let c1 = abs (c - v) in
- let c2 = v - c1 in
- r1 + c2, r2 + c1
- else
- r1, r2 + v)
- (symbols_of_equality equality) (0, 0)
+ TermMap.fold foldfun (symbols_of_equality equality) (0, 0)
in
-(* Printf.printf "equality: %s, common: %d, others: %d\n" *)
-(* (string_of_equality ~env equality) common others; *)
let c = others + (abs (common - card)) in
if c < i then (c, equality)
else (i, e)
let e1 = EqualitySet.min_elt pos_set in
let initial =
let common, others =
- TermMap.fold
- (fun k v (r1, r2) ->
- if TermMap.mem k symbols then
- let c = TermMap.find k symbols in
- let c1 = abs (c - v) in
- let c2 = v - (abs (c - v)) in
- r1 + c1, r2 + c2
- else
- r1, r2 + v)
- (symbols_of_equality e1) (0, 0)
+ TermMap.fold foldfun (symbols_of_equality e1) (0, 0)
in
(others + (abs (common - card))), e1
in
let _, current = EqualitySet.fold f pos_set initial in
- Printf.printf "\nsymbols-based selection: %s\n\n"
- (string_of_equality ~env current);
+(* Printf.printf "\nsymbols-based selection: %s\n\n" *)
+(* (string_of_equality ~env current); *)
+ let passive_table =
+ Indexing.remove_index passive_table current
+(* if !use_fullred then Indexing.remove_index passive_table current *)
+(* else passive_table *)
+ in
(Positive, current),
(([], neg_set),
- (remove current pos_list, EqualitySet.remove current pos_set))
+ (remove current pos_list, EqualitySet.remove current pos_set),
+ passive_table)
| _ ->
- let current = EqualitySet.min_elt pos_set in
+ let current = EqualitySet.min_elt pos_set in
+ let passive_table =
+ Indexing.remove_index passive_table current
+(* if !use_fullred then Indexing.remove_index passive_table current *)
+(* else passive_table *)
+ in
let passive =
(neg_list, neg_set),
- (remove current pos_list, EqualitySet.remove current pos_set)
+ (remove current pos_list, EqualitySet.remove current pos_set),
+ passive_table
in
(Positive, current), passive
)
let current = set_selection pos_set in
let passive =
(neg_list, neg_set),
- (remove current pos_list, EqualitySet.remove current pos_set)
+ (remove current pos_list, EqualitySet.remove current pos_set),
+ Indexing.remove_index passive_table current
+(* if !use_fullred then Indexing.remove_index passive_table current *)
+(* else passive_table *)
in
(Positive, current), passive
else
let current = set_selection neg_set in
let passive =
(remove current neg_list, EqualitySet.remove current neg_set),
- (pos_list, pos_set)
+ (pos_list, pos_set),
+ passive_table
in
(Negative, current), passive
;;
let set_of equalities =
List.fold_left (fun s e -> EqualitySet.add e s) EqualitySet.empty equalities
in
- (neg, set_of neg), (pos, set_of pos)
+ let table =
+ List.fold_left (fun tbl e -> Indexing.index tbl e)
+ (Indexing.empty_table ()) pos
+(* if !use_fullred then *)
+(* List.fold_left (fun tbl e -> Indexing.index tbl e) *)
+(* (Indexing.empty_table ()) pos *)
+(* else *)
+(* Indexing.empty_table () *)
+ in
+ (neg, set_of neg),
+ (pos, set_of pos),
+ table
+;;
+
+
+let make_active () =
+ [], Indexing.empty_table ()
;;
let add_to_passive passive (new_neg, new_pos) =
- let (neg_list, neg_set), (pos_list, pos_set) = passive in
+ let (neg_list, neg_set), (pos_list, pos_set), table = passive in
let ok set equality = not (EqualitySet.mem equality set) in
let neg = List.filter (ok neg_set) new_neg
and pos = List.filter (ok pos_set) new_pos in
+ let table =
+ List.fold_left (fun tbl e -> Indexing.index tbl e) table pos
+(* if !use_fullred then *)
+(* List.fold_left (fun tbl e -> Indexing.index tbl e) table pos *)
+(* else *)
+(* table *)
+ in
let add set equalities =
List.fold_left (fun s e -> EqualitySet.add e s) set equalities
in
- (neg @ neg_list, add neg_set neg), (pos_list @ pos, add pos_set pos)
+ (neg @ neg_list, add neg_set neg),
+ (pos_list @ pos, add pos_set pos),
+ table
;;
let passive_is_empty = function
- | ([], _), ([], _) -> true
+ | ([], _), ([], _), _ -> true
| _ -> false
;;
-(* TODO: find a better way! *)
-let maxmeta = ref 0;;
+let size_of_passive ((_, ns), (_, ps), _) =
+ (EqualitySet.cardinal ns) + (EqualitySet.cardinal ps)
+;;
+
+
+let prune_passive howmany (active, _) passive =
+ let (nl, ns), (pl, ps), tbl = passive in
+ let howmany = float_of_int howmany
+ and ratio = float_of_int !weight_age_ratio in
+ let in_weight = int_of_float (howmany *. ratio /. (ratio +. 1.))
+ and in_age = int_of_float (howmany /. (ratio +. 1.)) in
+ Printf.printf "in_weight: %d, in_age: %d\n" in_weight in_age;
+ let symbols, card =
+ match active with
+ | (Negative, e)::_ ->
+ let symbols = symbols_of_equality e in
+ let card = TermMap.fold (fun k v res -> res + v) symbols 0 in
+ Some symbols, card
+ | _ -> None, 0
+ in
+ let counter = ref !symbols_ratio in
+ let rec pickw w ns ps =
+ if w > 0 then
+ if not (EqualitySet.is_empty ns) then
+ let e = EqualitySet.min_elt ns in
+ let ns', ps = pickw (w-1) (EqualitySet.remove e ns) ps in
+ EqualitySet.add e ns', ps
+ else if !counter > 0 then
+ let _ =
+ counter := !counter - 1;
+ if !counter = 0 then counter := !symbols_ratio
+ in
+ match symbols with
+ | None ->
+ let e = EqualitySet.min_elt ps in
+ let ns, ps' = pickw (w-1) ns (EqualitySet.remove e ps) in
+ ns, EqualitySet.add e ps'
+ | Some symbols ->
+ let foldfun k v (r1, r2) =
+ if TermMap.mem k symbols then
+ let c = TermMap.find k symbols in
+ let c1 = abs (c - v) in
+ let c2 = v - c1 in
+ r1 + c2, r2 + c1
+ else
+ r1, r2 + v
+ in
+ let f equality (i, e) =
+ let common, others =
+ TermMap.fold foldfun (symbols_of_equality equality) (0, 0)
+ in
+ let c = others + (abs (common - card)) in
+ if c < i then (c, equality)
+ else (i, e)
+ in
+ let e1 = EqualitySet.min_elt ps in
+ let initial =
+ let common, others =
+ TermMap.fold foldfun (symbols_of_equality e1) (0, 0)
+ in
+ (others + (abs (common - card))), e1
+ in
+ let _, e = EqualitySet.fold f ps initial in
+ let ns, ps' = pickw (w-1) ns (EqualitySet.remove e ps) in
+ ns, EqualitySet.add e ps'
+ else
+ let e = EqualitySet.min_elt ps in
+ let ns, ps' = pickw (w-1) ns (EqualitySet.remove e ps) in
+ ns, EqualitySet.add e ps'
+ else
+ EqualitySet.empty, EqualitySet.empty
+ in
+(* let in_weight, ns = pickw in_weight ns in *)
+(* let _, ps = pickw in_weight ps in *)
+ let ns, ps = pickw in_weight ns ps in
+ let rec picka w s l =
+ if w > 0 then
+ match l with
+ | [] -> w, s, []
+ | hd::tl when not (EqualitySet.mem hd s) ->
+ let w, s, l = picka (w-1) s tl in
+ w, EqualitySet.add hd s, hd::l
+ | hd::tl ->
+ let w, s, l = picka w s tl in
+ w, s, hd::l
+ else
+ 0, s, []
+ in
+ let in_age, ns, nl = picka in_age ns nl in
+ let _, ps, pl = picka in_age ps pl in
+ if not (EqualitySet.is_empty ps) then
+ maximal_retained_equality := Some (EqualitySet.max_elt ps);
+ let tbl =
+ EqualitySet.fold
+ (fun e tbl -> Indexing.index tbl e) ps (Indexing.empty_table ())
+(* if !use_fullred then *)
+(* EqualitySet.fold *)
+(* (fun e tbl -> Indexing.index tbl e) ps (Indexing.empty_table ()) *)
+(* else *)
+(* tbl *)
+ in
+ (nl, ns), (pl, ps), tbl
+;;
-let infer env sign current active =
- let rec infer_negative current = function
- | [] -> [], []
- | (Negative, _)::tl -> infer_negative current tl
- | (Positive, equality)::tl ->
- let res = superposition_left env current equality in
- let neg, pos = infer_negative current tl in
- res @ neg, pos
-
- and infer_positive current = function
- | [] -> [], []
- | (Negative, equality)::tl ->
- let res = superposition_left env equality current in
- let neg, pos = infer_positive current tl in
- res @ neg, pos
- | (Positive, equality)::tl ->
- let maxm, res = superposition_right !maxmeta env current equality in
- let maxm, res' = superposition_right maxm env equality current in
+
+let infer env sign current (active_list, active_table) =
+ let new_neg, new_pos =
+ match sign with
+ | Negative ->
+ Indexing.superposition_left env active_table current, []
+ | Positive ->
+ let maxm, res =
+ Indexing.superposition_right !maxmeta env active_table current in
maxmeta := maxm;
- let neg, pos = infer_positive current tl in
-
-(* Printf.printf "risultato di superposition_right: %s %s\n%s\n\n" *)
-(* (string_of_equality ~env current) (string_of_equality ~env equality) *)
-(* (String.concat "\n" (List.map (string_of_equality ~env) res)); *)
-(* Printf.printf "risultato di superposition_right: %s %s\n%s\n\n" *)
-(* (string_of_equality ~env equality) (string_of_equality ~env current) *)
-(* (String.concat "\n" (List.map (string_of_equality ~env) res')); *)
-
- neg, res @ res' @ pos
+ let rec infer_positive table = function
+ | [] -> [], []
+ | (Negative, equality)::tl ->
+ let res = Indexing.superposition_left env table equality in
+ let neg, pos = infer_positive table tl in
+ res @ neg, pos
+ | (Positive, equality)::tl ->
+ let maxm, res =
+ Indexing.superposition_right !maxmeta env table equality in
+ maxmeta := maxm;
+ let neg, pos = infer_positive table tl in
+ neg, res @ pos
+ in
+ let curr_table = Indexing.index (Indexing.empty_table ()) current in
+ let neg, pos = infer_positive curr_table active_list in
+ neg, res @ pos
in
- match sign with
- | Negative -> infer_negative current active
- | Positive -> infer_positive current active
+ match !maximal_retained_equality with
+ | None -> new_neg, new_pos
+ | Some eq ->
+ let new_pos =
+ List.filter (fun e -> OrderedEquality.compare e eq <= 0) new_pos in
+ new_neg, new_pos
;;
try
let (proof, _, _, _) =
List.find
- (fun (proof, (ty, left, right), m, a) ->
+ (fun (proof, (ty, left, right, ordering), m, a) ->
fst (CicReduction.are_convertible context left right ugraph))
negative
in
;;
-let forward_simplify env ?(active=[]) ?passive (sign, current) =
- (* first step, remove already present equalities *)
- let pn, pp =
+let forward_simplify env (sign, current) ?passive (active_list, active_table) =
+ let pl, passive_table =
match passive with
- | None -> [], []
- | Some ((pn, _), (pp, _)) ->
- (List.map (fun e -> Negative, e) pn),
- (List.map (fun e -> Positive, e) pp)
+ | None -> [], None
+ | Some ((pn, _), (pp, _), pt) ->
+ let pn = List.map (fun e -> (Negative, e)) pn
+ and pp = List.map (fun e -> (Positive, e)) pp in
+ pn @ pp, Some pt
in
- let all = active @ pn @ pp in
- let duplicate =
- let rec aux = function
- | [] -> false
- | (s, eq)::tl when s = sign ->
- if meta_convertibility_eq current eq then true
- else aux tl
- | _::tl -> aux tl
- in
- aux all
+ let all = if pl = [] then active_list else active_list @ pl in
+
+(* let rec find_duplicate sign current = function *)
+(* | [] -> false *)
+(* | (s, eq)::tl when s = sign -> *)
+(* if meta_convertibility_eq current eq then true *)
+(* else find_duplicate sign current tl *)
+(* | _::tl -> find_duplicate sign current tl *)
+(* in *)
+ let demodulate table current =
+ let newmeta, newcurrent =
+ Indexing.demodulation !maxmeta env table current in
+ maxmeta := newmeta;
+ if is_identity env newcurrent then
+ if sign = Negative then Some (sign, newcurrent) else None
+ else
+ Some (sign, newcurrent)
in
- if duplicate then
- None
- else
- let rec aux env (sign, current) = function
- | [] -> Some (sign, current)
- | (Negative, _)::tl -> aux env (sign, current) tl
- | (Positive, equality)::tl ->
- let newmeta, newcurrent =
- demodulation !maxmeta env current equality in
- maxmeta := newmeta;
- if is_identity env newcurrent then
- None
- else if newcurrent <> current then
- aux env (sign, newcurrent) active
- else
- aux env (sign, newcurrent) tl
- in
- aux env (sign, current) all
+ let res =
+ let res = demodulate active_table current in
+ match res with
+ | None -> None
+ | Some (sign, newcurrent) ->
+ match passive_table with
+ | None -> res
+ | Some passive_table -> demodulate passive_table newcurrent
+ in
+ match res with
+ | None -> None
+ | Some (Negative, c) ->
+ let ok = not (
+ List.exists
+ (fun (s, eq) -> s = Negative && meta_convertibility_eq eq c)
+ all)
+ in
+ if ok then res else None
+ | Some (Positive, c) ->
+ if Indexing.in_index active_table c then
+ None
+ else
+ match passive_table with
+ | None -> res
+ | Some passive_table ->
+ if Indexing.in_index passive_table c then None else res
+
+(* | Some (s, c) -> if find_duplicate s c all then None else res *)
+
+(* if s = Utils.Negative then *)
+(* res *)
+(* else *)
+(* if Indexing.subsumption env active_table c then *)
+(* None *)
+(* else ( *)
+(* match passive_table with *)
+(* | None -> res *)
+(* | Some passive_table -> *)
+(* if Indexing.subsumption env passive_table c then *)
+(* None *)
+(* else *)
+(* res *)
+(* ) *)
+
+(* let pred (sign, eq) = *)
+(* if sign <> s then false *)
+(* else subsumption env c eq *)
+(* in *)
+(* if List.exists pred all then None *)
+(* else res *)
;;
+type fs_time_info_t = {
+ mutable build_all: float;
+ mutable demodulate: float;
+ mutable subsumption: float;
+};;
+
+let fs_time_info = { build_all = 0.; demodulate = 0.; subsumption = 0. };;
+
-let forward_simplify_new env ?(active=[]) ?passive (new_neg, new_pos) =
- let pn, pp =
+let forward_simplify_new env (new_neg, new_pos) ?passive active =
+ let t1 = Unix.gettimeofday () in
+
+ let active_list, active_table = active in
+ let pl, passive_table =
match passive with
- | None -> [], []
- | Some ((pn, _), (pp, _)) ->
- (List.map (fun e -> Negative, e) pn),
- (List.map (fun e -> Positive, e) pp)
+ | None -> [], None
+ | Some ((pn, _), (pp, _), pt) ->
+ let pn = List.map (fun e -> (Negative, e)) pn
+ and pp = List.map (fun e -> (Positive, e)) pp in
+ pn @ pp, Some pt
in
- let all = active @ pn @ pp in
- let remove_identities equalities =
- let ok eq = not (is_identity env eq) in
- List.filter ok equalities
+ let all = active_list @ pl in
+
+ let t2 = Unix.gettimeofday () in
+ fs_time_info.build_all <- fs_time_info.build_all +. (t2 -. t1);
+
+ let demodulate table target =
+ let newmeta, newtarget = Indexing.demodulation !maxmeta env table target in
+ maxmeta := newmeta;
+ newtarget
in
- let rec simpl all' target =
- match all' with
- | [] -> target
- | (Negative, _)::tl -> simpl tl target
- | (Positive, source)::tl ->
- let newmeta, newtarget = demodulation !maxmeta env target source in
- maxmeta := newmeta;
- if is_identity env newtarget then newtarget
- else if newtarget <> target then (
-(* Printf.printf "OK:\n%s\n%s\n" *)
-(* (string_of_equality ~env target) *)
-(* (string_of_equality ~env newtarget); *)
-(* print_newline (); *)
- simpl all newtarget
- )
- else simpl tl newtarget
+(* let f sign' target (sign, eq) = *)
+(* if sign <> sign' then false *)
+(* else subsumption env target eq *)
+(* in *)
+
+ let t1 = Unix.gettimeofday () in
+
+ let new_neg, new_pos =
+ let new_neg = List.map (demodulate active_table) new_neg
+ and new_pos = List.map (demodulate active_table) new_pos in
+ match passive_table with
+ | None -> new_neg, new_pos
+ | Some passive_table ->
+ List.map (demodulate passive_table) new_neg,
+ List.map (demodulate passive_table) new_pos
in
- let new_neg = List.map (simpl all) new_neg
- and new_pos = remove_identities (List.map (simpl all) new_pos) in
+
+ let t2 = Unix.gettimeofday () in
+ fs_time_info.demodulate <- fs_time_info.demodulate +. (t2 -. t1);
+
let new_pos_set =
- List.fold_left (fun s e -> EqualitySet.add e s) EqualitySet.empty new_pos
+ List.fold_left
+ (fun s e ->
+ if not (Inference.is_identity env e) then EqualitySet.add e s else s)
+ EqualitySet.empty new_pos
in
- new_neg, EqualitySet.elements new_pos_set
-;;
+ let new_pos = EqualitySet.elements new_pos_set in
+
+(* let subs = *)
+(* match passive_table with *)
+(* | None -> *)
+(* (fun e -> not (Indexing.subsumption env active_table e)) *)
+(* | Some passive_table -> *)
+(* (fun e -> not ((Indexing.subsumption env active_table e) || *)
+(* (Indexing.subsumption env passive_table e))) *)
+(* in *)
+
+ let t1 = Unix.gettimeofday () in
+
+(* let new_neg, new_pos = *)
+(* List.filter subs new_neg, *)
+(* List.filter subs new_pos *)
+(* in *)
+
+(* let new_neg, new_pos = *)
+(* (List.filter (fun e -> not (List.exists (f Negative e) all)) new_neg, *)
+(* List.filter (fun e -> not (List.exists (f Positive e) all)) new_pos) *)
+(* in *)
+
+ let t2 = Unix.gettimeofday () in
+ fs_time_info.subsumption <- fs_time_info.subsumption +. (t2 -. t1);
+
+ let is_duplicate =
+ match passive_table with
+ | None -> (fun e -> not (Indexing.in_index active_table e))
+ | Some passive_table ->
+ (fun e -> not ((Indexing.in_index active_table e) ||
+ (Indexing.in_index passive_table e)))
+ in
+ new_neg, List.filter is_duplicate new_pos
+(* new_neg, new_pos *)
-(*
-let backward_simplify_active env (sign, current) active =
- match sign with
- | Negative -> active
- | Positive ->
- let active =
- List.map
- (fun (s, equality) ->
- (* match s with *)
- (* | Negative -> s, equality *)
- (* | Positive -> *)
- let newmeta, equality =
- demodulation !maxmeta env equality current in
- maxmeta := newmeta;
- s, equality)
- active
- in
- let active =
- List.filter (fun (s, eq) -> not (is_identity env eq)) active
- in
- let find eq1 where =
- List.exists (fun (s, e) -> meta_convertibility_eq eq1 e) where
- in
- List.fold_right
- (fun (s, eq) res -> if find eq res then res else (s, eq)::res)
- active []
+(* let res = *)
+(* (List.filter (fun e -> not (List.exists (f Negative e) all)) new_neg, *)
+(* List.filter (fun e -> not (List.exists (f Positive e) all)) new_pos) *)
+(* in *)
+(* res *)
;;
-*)
let backward_simplify_active env (new_neg, new_pos) active =
- let new_pos = List.map (fun e -> Positive, e) new_pos in
- let active =
+ let active_list, active_table = active in
+ let new_pos, new_table =
+ List.fold_left
+ (fun (l, t) e -> (Positive, e)::l, Indexing.index t e)
+ ([], Indexing.empty_table ()) new_pos
+ in
+ let active_list, newa =
List.fold_right
- (fun (s, equality) res ->
- match forward_simplify env ~active:new_pos (s, equality) with
- | None -> res
- | Some e -> e::res)
- active []
+ (fun (s, equality) (res, newn) ->
+ match forward_simplify env (s, equality) (new_pos, new_table) with
+ | None -> res, newn
+ | Some (s, e) ->
+ if equality = e then
+ (s, e)::res, newn
+ else
+ res, (s, e)::newn)
+ active_list ([], [])
in
let find eq1 where =
List.exists (fun (s, e) -> meta_convertibility_eq eq1 e) where
in
- List.fold_right
- (fun (s, eq) res ->
- if (is_identity env eq) || (find eq res) then
- res
- else
- (s, eq)::res)
- active []
+ let active, newa =
+ List.fold_right
+ (fun (s, eq) (res, tbl) ->
+ if (is_identity env eq) || (find eq res) then
+ res, tbl
+ else
+ (s, eq)::res, if s = Negative then tbl else Indexing.index tbl eq)
+ active_list ([], Indexing.empty_table ()),
+ List.fold_right
+ (fun (s, eq) (n, p) ->
+ if (s <> Negative) && (is_identity env eq) then
+ (n, p)
+ else
+ if s = Negative then eq::n, p
+ else n, eq::p)
+ newa ([], [])
+ in
+ match newa with
+ | [], [] -> active, None
+ | _ -> active, Some newa
;;
let backward_simplify_passive env (new_neg, new_pos) passive =
- let new_pos = List.map (fun e -> Positive, e) new_pos in
- let (nl, ns), (pl, ps) = passive in
+ let new_pos, new_table =
+ List.fold_left
+ (fun (l, t) e -> (Positive, e)::l, Indexing.index t e)
+ ([], Indexing.empty_table ()) new_pos
+ in
+ let (nl, ns), (pl, ps), passive_table = passive in
let f sign equality (resl, ress, newn) =
- match forward_simplify env ~active:new_pos (sign, equality) with
+ match forward_simplify env (sign, equality) (new_pos, new_table) with
| None -> resl, EqualitySet.remove equality ress, newn
| Some (s, e) ->
if equality = e then
in
let nl, ns, newn = List.fold_right (f Negative) nl ([], ns, [])
and pl, ps, newp = List.fold_right (f Positive) pl ([], ps, []) in
+ let passive_table =
+ List.fold_left
+ (fun tbl e -> Indexing.index tbl e) (Indexing.empty_table ()) pl
+ in
match newn, newp with
- | [], [] -> ((nl, ns), (pl, ps)), None
- | _, _ -> ((nl, ns), (pl, ps)), Some (newn, newp)
+ | [], [] -> ((nl, ns), (pl, ps), passive_table), None
+ | _, _ -> ((nl, ns), (pl, ps), passive_table), Some (newn, newp)
;;
-let backward_simplify env ?(active=[]) ?passive new' =
- let active = backward_simplify_active env new' active in
+let backward_simplify env new' ?passive active =
+ let active, newa = backward_simplify_active env new' active in
match passive with
| None ->
- active, (([], EqualitySet.empty), ([], EqualitySet.empty)), None
+ active, (make_passive [] []), newa, None
| Some passive ->
- let passive, new' =
+ let passive, newp =
backward_simplify_passive env new' passive in
- active, passive, new'
+ active, passive, newa, newp
;;
+let get_selection_estimate () =
+ elapsed_time := (Unix.gettimeofday ()) -. !start_time;
+ int_of_float (
+ ceil ((float_of_int !processed_clauses) *.
+ (!time_limit /. !elapsed_time -. 1.)))
+;;
+
let rec given_clause env passive active =
+ let selection_estimate = get_selection_estimate () in
+ let kept = size_of_passive passive in
+ let passive =
+ if !time_limit = 0. || !processed_clauses = 0 then
+ passive
+ else if !elapsed_time > !time_limit then (
+ Printf.printf "Time limit (%.2f) reached: %.2f\n"
+ !time_limit !elapsed_time;
+ make_passive [] []
+ ) else if kept > selection_estimate then (
+ Printf.printf ("Too many passive equalities: pruning... (kept: %d, " ^^
+ "selection_estimate: %d)\n") kept selection_estimate;
+ prune_passive selection_estimate active passive
+ ) else
+ passive
+ in
+
match passive_is_empty passive with
| true -> Failure
| false ->
-(* Printf.printf "before select\n"; *)
let (sign, current), passive = select env passive active in
-(* Printf.printf "before simplification: sign: %s\ncurrent: %s\n\n" *)
-(* (string_of_sign sign) (string_of_equality ~env current); *)
- match forward_simplify env (sign, current) ~active ~passive with
- | None when sign = Negative ->
- Printf.printf "OK!!! %s %s" (string_of_sign sign)
- (string_of_equality ~env current);
- print_newline ();
- let proof, _, _, _ = current in
- Success (Some proof, env)
+ match forward_simplify env (sign, current) ~passive active with
| None ->
-(* Printf.printf "avanti... %s %s" (string_of_sign sign) *)
-(* (string_of_equality ~env current); *)
-(* print_newline (); *)
given_clause env passive active
| Some (sign, current) ->
- print_endline "\n================================================";
- Printf.printf "selected: %s %s"
- (string_of_sign sign) (string_of_equality ~env current);
- print_newline ();
-
- let new' = infer env sign current active in
-
- let res, proof = contains_empty env new' in
- if res then
- Success (proof, env)
- else
- let new' = forward_simplify_new env new' ~active in
+ if (sign = Negative) && (is_identity env current) then (
+ Printf.printf "OK!!! %s %s" (string_of_sign sign)
+ (string_of_equality ~env current);
+ print_newline ();
+ let proof, _, _, _ = current in
+ Success (Some proof, env)
+ ) else (
+ print_endline "\n================================================";
+ Printf.printf "selected: %s %s"
+ (string_of_sign sign) (string_of_equality ~env current);
+ print_newline ();
+
+ let t1 = Unix.gettimeofday () in
+ let new' = infer env sign current active in
+ let t2 = Unix.gettimeofday () in
+ infer_time := !infer_time +. (t2 -. t1);
- (* let active, passive, retained = *)
- (* backward_simplify env [(sign, current)] ~active ~passive *)
- (* in *)
- let active =
- match sign with
- | Negative -> active
- | Positive ->
- let active, _, _ =
- backward_simplify env ([], [current]) ~active
+ let res, proof = contains_empty env new' in
+ if res then
+ Success (proof, env)
+ else
+ let t1 = Unix.gettimeofday () in
+ let new' = forward_simplify_new env new' (* ~passive *) active in
+ let t2 = Unix.gettimeofday () in
+ let _ =
+ forward_simpl_time := !forward_simpl_time +. (t2 -. t1)
+ in
+ let active =
+ match sign with
+ | Negative -> active
+ | Positive ->
+ let t1 = Unix.gettimeofday () in
+ let active, _, newa, _ =
+ backward_simplify env ([], [current]) active
+ in
+ let t2 = Unix.gettimeofday () in
+ backward_simpl_time := !backward_simpl_time +. (t2 -. t1);
+ match newa with
+ | None -> active
+ | Some (n, p) ->
+ let al, tbl = active in
+ let nn = List.map (fun e -> Negative, e) n in
+ let pp, tbl =
+ List.fold_right
+ (fun e (l, t) ->
+ (Positive, e)::l,
+ Indexing.index tbl e)
+ p ([], tbl)
+ in
+ nn @ al @ pp, tbl
+ in
+ let _ =
+ Printf.printf "active:\n%s\n"
+ (String.concat "\n"
+ ((List.map
+ (fun (s, e) -> (string_of_sign s) ^ " " ^
+ (string_of_equality ~env e)) (fst active))));
+ print_newline ();
+ in
+ let _ =
+ match new' with
+ | neg, pos ->
+ Printf.printf "new':\n%s\n"
+ (String.concat "\n"
+ ((List.map
+ (fun e -> "Negative " ^
+ (string_of_equality ~env e)) neg) @
+ (List.map
+ (fun e -> "Positive " ^
+ (string_of_equality ~env e)) pos)));
+ print_newline ();
+ in
+ match contains_empty env new' with
+ | false, _ ->
+ let active =
+ let al, tbl = active in
+ match sign with
+ | Negative -> (sign, current)::al, tbl
+ | Positive ->
+ al @ [(sign, current)], Indexing.index tbl current
in
- active
+ let passive = add_to_passive passive new' in
+ let (_, ns), (_, ps), _ = passive in
+ Printf.printf "passive:\n%s\n"
+ (String.concat "\n"
+ ((List.map (fun e -> "Negative " ^
+ (string_of_equality ~env e))
+ (EqualitySet.elements ns)) @
+ (List.map (fun e -> "Positive " ^
+ (string_of_equality ~env e))
+ (EqualitySet.elements ps))));
+ print_newline ();
+ given_clause env passive active
+ | true, proof ->
+ Success (proof, env)
+ )
+;;
+
+
+let rec given_clause_fullred env passive active =
+ let selection_estimate = get_selection_estimate () in
+ let kept = size_of_passive passive in
+ let passive =
+ if !time_limit = 0. || !processed_clauses = 0 then
+ passive
+ else if !elapsed_time > !time_limit then (
+ Printf.printf "Time limit (%.2f) reached: %.2f\n"
+ !time_limit !elapsed_time;
+ make_passive [] []
+ ) else if kept > selection_estimate then (
+ Printf.printf ("Too many passive equalities: pruning... (kept: %d, " ^^
+ "selection_estimate: %d)\n") kept selection_estimate;
+ prune_passive selection_estimate active passive
+ ) else
+ passive
+ in
+
+ match passive_is_empty passive with
+ | true -> Failure
+ | false ->
+ let (sign, current), passive = select env passive active in
+ match forward_simplify env (sign, current) ~passive active with
+ | None ->
+ given_clause_fullred env passive active
+ | Some (sign, current) ->
+ if (sign = Negative) && (is_identity env current) then (
+ Printf.printf "OK!!! %s %s" (string_of_sign sign)
+ (string_of_equality ~env current);
+ print_newline ();
+ let proof, _, _, _ = current in
+ Success (Some proof, env)
+ ) else (
+ print_endline "\n================================================";
+ Printf.printf "selected: %s %s"
+ (string_of_sign sign) (string_of_equality ~env current);
+ print_newline ();
+
+ let t1 = Unix.gettimeofday () in
+ let new' = infer env sign current active in
+ let t2 = Unix.gettimeofday () in
+ infer_time := !infer_time +. (t2 -. t1);
+
+ let active =
+ if is_identity env current then active
+ else
+ let al, tbl = active in
+ match sign with
+ | Negative -> (sign, current)::al, tbl
+ | Positive -> al @ [(sign, current)], Indexing.index tbl current
+ in
+ let rec simplify new' active passive =
+ let t1 = Unix.gettimeofday () in
+ let new' = forward_simplify_new env new' ~passive active in
+ let t2 = Unix.gettimeofday () in
+ forward_simpl_time := !forward_simpl_time +. (t2 -. t1);
+ let t1 = Unix.gettimeofday () in
+ let active, passive, newa, retained =
+ backward_simplify env new' ~passive active in
+ let t2 = Unix.gettimeofday () in
+ backward_simpl_time := !backward_simpl_time +. (t2 -. t1);
+ match newa, retained with
+ | None, None -> active, passive, new'
+ | Some (n, p), None
+ | None, Some (n, p) ->
+ let nn, np = new' in
+ simplify (nn @ n, np @ p) active passive
+ | Some (n, p), Some (rn, rp) ->
+ let nn, np = new' in
+ simplify (nn @ n @ rn, np @ p @ rp) active passive
in
+ let active, passive, new' = simplify new' active passive in
+
+ let k = size_of_passive passive in
+ if k < (kept - 1) then
+ processed_clauses := !processed_clauses + (kept - 1 - k);
+
let _ =
Printf.printf "active:\n%s\n"
(String.concat "\n"
((List.map
(fun (s, e) -> (string_of_sign s) ^ " " ^
- (string_of_equality ~env e)) active)));
+ (string_of_equality ~env e)) (fst active))));
print_newline ();
in
let _ =
in
match contains_empty env new' with
| false, _ ->
- let active =
- match sign with
- | Negative -> (sign, current)::active
- | Positive -> active @ [(sign, current)]
- in
let passive = add_to_passive passive new' in
- let (_, ns), (_, ps) = passive in
- Printf.printf "passive:\n%s\n"
- (String.concat "\n"
- ((List.map (fun e -> "Negative " ^
- (string_of_equality ~env e))
- (EqualitySet.elements ns)) @
- (List.map (fun e -> "Positive " ^
- (string_of_equality ~env e))
- (EqualitySet.elements ps))));
- print_newline ();
- given_clause env passive active
+ given_clause_fullred env passive active
| true, proof ->
Success (proof, env)
+ )
;;
-(*
-let rec given_clause env passive active =
- match passive_is_empty passive with
- | true -> Failure
- | false ->
-(* Printf.printf "before select\n"; *)
- let (sign, current), passive = select env passive active in
-(* Printf.printf "before simplification: sign: %s\ncurrent: %s\n\n" *)
-(* (string_of_sign sign) (string_of_equality ~env current); *)
- print_endline "\n================================================";
- Printf.printf "selected: %s %s"
- (string_of_sign sign) (string_of_equality ~env current);
- print_newline ();
-
- let new' = infer env sign current active in
-
- let rec simplify new' active passive =
- let new' = forward_simplify_new env new' ~active ~passive in
- let active, passive, retained =
- backward_simplify env new' ~active ~passive
- in
- match retained with
- | None -> active, passive, new'
- | Some (rn, rp) ->
- let nn, np = new' in
- simplify (nn @ rn, np @ rp) active passive
- in
- let active, passive, new' = simplify new' active passive in
- let _ =
- Printf.printf "active:\n%s\n"
- (String.concat "\n"
- ((List.map
- (fun (s, e) -> (string_of_sign s) ^ " " ^
- (string_of_equality ~env e)) active)));
- print_newline ();
- in
- let _ =
- match new' with
- | neg, pos ->
- Printf.printf "new':\n%s\n"
- (String.concat "\n"
- ((List.map
- (fun e -> "Negative " ^
- (string_of_equality ~env e)) neg) @
- (List.map
- (fun e -> "Positive " ^
- (string_of_equality ~env e)) pos)));
- print_newline ();
- in
- match contains_empty env new' with
- | false, _ ->
- let active =
- match sign with
- | Negative -> (sign, current)::active
- | Positive -> active @ [(sign, current)]
- in
- let passive = add_to_passive passive new' in
- let (_, ns), (_, ps) = passive in
- Printf.printf "passive:\n%s\n"
- (String.concat "\n"
- ((List.map (fun e -> "Negative " ^
- (string_of_equality ~env e))
- (EqualitySet.elements ns)) @
- (List.map (fun e -> "Positive " ^
- (string_of_equality ~env e))
- (EqualitySet.elements ps))));
- print_newline ();
- given_clause env passive active
- | true, proof ->
- Success (proof, env)
-;;
-*)
-
-
let get_from_user () =
let dbd = Mysql.quick_connect
~host:"localhost" ~user:"helm" ~database:"mowgli" () in
;;
+let given_clause_ref = ref given_clause;;
+
+
let main () =
let module C = Cic in
let module T = CicTypeChecker in
let env = (metasenv, context, ugraph) in
try
let term_equality = equality_of_term meta_proof goal in
- let meta_proof, (eq_ty, left, right), _, _ = term_equality in
- let active = [] in
+ let meta_proof, (eq_ty, left, right, ordering), _, _ = term_equality in
+ let active = make_active () in
let passive = make_passive [term_equality] equalities in
- Printf.printf "\ncurrent goal: %s ={%s} %s\n"
- (PP.ppterm left) (PP.ppterm eq_ty) (PP.ppterm right);
+ Printf.printf "\ncurrent goal: %s\n"
+ (string_of_equality ~env term_equality);
Printf.printf "\ncontext:\n%s\n" (PP.ppcontext context);
Printf.printf "\nmetasenv:\n%s\n" (print_metasenv metasenv);
- Printf.printf "\nequalities:\n";
- List.iter
- (function (_, (ty, t1, t2), _, _) ->
- let w1 = weight_of_term t1 in
- let w2 = weight_of_term t2 in
- let res = !compare_terms t1 t2 in
- Printf.printf "{%s}: %s<%s> %s %s<%s>\n" (PP.ppterm ty)
- (PP.ppterm t1) (string_of_weight w1)
- (string_of_comparison res)
- (PP.ppterm t2) (string_of_weight w2))
- equalities;
+ Printf.printf "\nequalities:\n%s\n"
+ (String.concat "\n"
+ (List.map
+ (string_of_equality ~env)
+ equalities));
print_endline "--------------------------------------------------";
let start = Unix.gettimeofday () in
print_endline "GO!";
- let res = given_clause env passive active in
+ start_time := Unix.gettimeofday ();
+ let res =
+ (if !use_fullred then given_clause_fullred else given_clause)
+ env passive active
+ in
let finish = Unix.gettimeofday () in
match res with
| Failure ->
Printf.printf "NO proof found! :-(\n\n"
| Success (Some proof, env) ->
- Printf.printf "OK, found a proof!:\n%s\n%.9f\n" (PP.ppterm proof)
+ Printf.printf "OK, found a proof!:\n%s\n%.9f\n"
+ (PP.pp proof (names_of_context context))
(finish -. start);
+ Printf.printf ("infer_time: %.9f\nforward_simpl_time: %.9f\n" ^^
+ "backward_simpl_time: %.9f\n")
+ !infer_time !forward_simpl_time !backward_simpl_time;
+(* Printf.printf ("forward_simpl_details:\n build_all: %.9f\n" ^^ *)
+(* " demodulate: %.9f\n subsumption: %.9f\n") *)
+(* fs_time_info.build_all fs_time_info.demodulate *)
+(* fs_time_info.subsumption; *)
| Success (None, env) ->
Printf.printf "Success, but no proof?!?\n\n"
with exc ->
print_endline ("EXCEPTION: " ^ (Printexc.to_string exc));
+ raise exc
;;
and set_conf f = configuration_file := f
and set_lpo () = Utils.compare_terms := lpo
and set_kbo () = Utils.compare_terms := nonrec_kbo
+ and set_fullred () = use_fullred := true
+ and set_time_limit v = time_limit := float_of_int v
in
Arg.parse [
+ "-f", Arg.Unit set_fullred, "Use full-reduction strategy";
+
"-r", Arg.Int set_ratio, "Weight-Age equality selection ratio (default: 0)";
"-s", Arg.Int set_sel,
"-lpo", Arg.Unit set_lpo, "Use lpo term ordering";
"-kbo", Arg.Unit set_kbo, "Use (non-recursive) kbo term ordering (default)";
+
+ "-l", Arg.Int set_time_limit, "Time limit (in seconds)";
] (fun a -> ()) "Usage:"
in
Helm_registry.load_from !configuration_file;