(* $Id: orderings.ml 9869 2009-06-11 22:52:38Z denes $ *)
let debug s = prerr_endline (Lazy.force s) ;;
-let debug _ = ();;
+(* let debug _ = ();; *)
let monster = 100;;
sig
type t
type input
- type state
type szsontology =
| Unsatisfiable of (t Terms.bag * int * int list) list
| GaveUp
| Error of string
| Timeout of int * t Terms.bag
type bag = t Terms.bag * int
+ type state
val empty_state : state
+ val bag_of_state : state -> bag
+ val replace_bag: state -> bag -> state
val mk_passive : bag -> input * input -> bag * t Terms.unit_clause
val mk_goal : bag -> input * input -> bag * t Terms.unit_clause
val forward_infer_step :
t Terms.unit_clause ->
int ->
state
+ val goal_narrowing :
+ int
+ -> int
+ -> float option
+ -> state
+ -> state
val paramod :
useage:bool ->
max_steps:int ->
bag ->
g_passives:t Terms.unit_clause list ->
passives:t Terms.unit_clause list -> szsontology
+ val fast_eq_check :
+ state -> input* input -> szsontology
end
module Paramod (B : Orderings.Blob) = struct
type t = B.t
type input = B.input
- type state =
- B.t Terms.bag
- * int
- * Index.Index(B).active_set
- * (WeightPassiveSet.t * AgePassiveSet.t)
- * B.t Terms.unit_clause list
- * (WeightPassiveSet.t * AgePassiveSet.t)
+ type bag = B.t Terms.bag * int
type szsontology =
| Unsatisfiable of (B.t Terms.bag * int * int list) list
| GaveUp
| Error of string
| Timeout of int * B.t Terms.bag
exception Stop of szsontology
- type bag = B.t Terms.bag * int
+ type state =
+ t Terms.bag
+ * int
+ * Index.Index(B).active_set
+ * (IDX.DT.t * WeightPassiveSet.t * AgePassiveSet.t)
+ * B.t Terms.unit_clause list
+ * (WeightPassiveSet.t * AgePassiveSet.t)
let empty_state =
Terms.empty_bag,
0,
([],IDX.DT.empty),
- (WeightPassiveSet.empty,AgePassiveSet.empty),
+ (IDX.DT.empty,WeightPassiveSet.empty,AgePassiveSet.empty),
[],
(WeightPassiveSet.empty,AgePassiveSet.empty)
-;;
+ ;;
+
+ let bag_of_state (bag,n,_,_,_,_) = bag,n
+ ;;
+
+ let replace_bag (_,_,a,b,c,d) (bag,n) = bag,n,a,b,c,d
+ ;;
- let add_passive_clause ?(no_weight=false) (passives_w,passives_a) cl =
- let cl = if no_weight then (0,cl)
+ let add_passive_clause ?(no_weight=false)
+ (passive_t,passives_w,passives_a) cl =
+ let pcl = if no_weight then (0,cl)
else Utils.mk_passive_clause cl in
- WeightPassiveSet.add cl passives_w, AgePassiveSet.add cl passives_a
+ IDX.index_unit_clause passive_t cl,
+ WeightPassiveSet.add pcl passives_w,
+ AgePassiveSet.add pcl passives_a
;;
let add_passive_goal ?(no_weight=false) (passives_w,passives_a) g =
WeightPassiveSet.add g passives_w, AgePassiveSet.add g passives_a
;;
- let remove_passive_clause (passives_w,passives_a) cl =
+ let remove_passive_clause (passive_t,passives_w,passives_a) cl =
+ let passive_t = IDX.remove_unit_clause passive_t (snd cl) in
let passives_w = WeightPassiveSet.remove cl passives_w in
let passives_a = AgePassiveSet.remove cl passives_a in
- passives_w,passives_a
+ passive_t,passives_w,passives_a
;;
- let add_passive_clauses ?(no_weight=false)
- (passives_w,passives_a) new_clauses =
- let new_clauses_w,new_clauses_a =
- List.fold_left (add_passive_clause ~no_weight)
- (WeightPassiveSet.empty,AgePassiveSet.empty) new_clauses
- in
- (WeightPassiveSet.union new_clauses_w passives_w,
- AgePassiveSet.union new_clauses_a passives_a)
+ let add_passive_clauses ?(no_weight=false) =
+ List.fold_left (add_passive_clause ~no_weight)
;;
let add_passive_goals ?(no_weight=false)
AgePassiveSet.union new_clauses_a passives_a)
;;
- let is_passive_set_empty (passives_w,passives_a) =
+ let remove_passive_goal (passives_w,passives_a) cl =
+ let passives_w = WeightPassiveSet.remove cl passives_w in
+ let passives_a = AgePassiveSet.remove cl passives_a in
+ passives_w,passives_a
+ ;;
+
+ let is_passive_set_empty (_,passives_w,passives_a) =
if (WeightPassiveSet.is_empty passives_w) then begin
assert (AgePassiveSet.is_empty passives_a); true
end else begin
end
;;
- let passive_set_cardinal (passives_w,_) = WeightPassiveSet.cardinal passives_w
-
+ let is_passive_g_set_empty (passives_w,passives_a) =
+ if (WeightPassiveSet.is_empty passives_w) then begin
+ assert (AgePassiveSet.is_empty passives_a); true
+ end else begin
+ assert (not (AgePassiveSet.is_empty passives_a)); false
+ end
+ ;;
+
+ let passive_set_cardinal (_,passives_w,_)
+ = WeightPassiveSet.cardinal passives_w
+ ;;
+
+ let g_passive_set_cardinal (passives_w,_)
+ = WeightPassiveSet.cardinal passives_w
+ ;;
+
let passive_empty_set =
+ (IDX.DT.empty,WeightPassiveSet.empty,AgePassiveSet.empty)
+ ;;
+
+ let g_passive_empty_set =
(WeightPassiveSet.empty,AgePassiveSet.empty)
;;
- let pick_min_passive ~use_age (passives_w,passives_a) =
+ let pick_min_passive ~use_age (_,passives_w,passives_a) =
+ if use_age then AgePassiveSet.min_elt passives_a
+ else WeightPassiveSet.min_elt passives_w
+ ;;
+
+ let pick_min_g_passive ~use_age (passives_w,passives_a) =
if use_age then AgePassiveSet.min_elt passives_a
else WeightPassiveSet.min_elt passives_w
;;
let mk_passive (bag,maxvar) = mk_clause bag maxvar;;
let mk_goal (bag,maxvar) = mk_clause bag maxvar;;
+ let initialize_goal (bag,maxvar,actives,passives,_,_) t =
+ let (bag,maxvar), g = mk_goal (bag,maxvar) t in
+ let g_passives = g_passive_empty_set in
+ let g_passives = add_passive_goal g_passives g in
+ (bag,maxvar,actives,passives,[],g_passives)
+
(* TODO : global age over facts and goals (without comparing weights) *)
let select ~use_age passives g_passives =
if is_passive_set_empty passives then begin
- if (is_passive_set_empty g_passives) then
+ if (is_passive_g_set_empty g_passives) then
raise (Stop GaveUp) (* we say we are incomplete *)
else
- let g_cl = pick_min_passive ~use_age:use_age g_passives in
- (true,g_cl,passives,remove_passive_clause g_passives g_cl)
+ let g_cl = pick_min_g_passive ~use_age:use_age g_passives in
+ (true,g_cl,passives,remove_passive_goal g_passives g_cl)
end
else let cl = pick_min_passive ~use_age:use_age passives in
- if is_passive_set_empty g_passives then
+ if is_passive_g_set_empty g_passives then
(false,cl,remove_passive_clause passives cl,g_passives)
else
- let g_cl = pick_min_passive ~use_age:use_age g_passives in
+ let g_cl = pick_min_g_passive ~use_age:use_age g_passives in
let (id1,_,_,_),(id2,_,_,_) = snd cl, snd g_cl in
let cmp = if use_age then id1 <= id2
else fst cl <= fst g_cl
if cmp then
(false,cl,remove_passive_clause passives cl,g_passives)
else
- (true,g_cl,passives,remove_passive_clause g_passives g_cl)
+ (true,g_cl,passives,remove_passive_goal g_passives g_cl)
;;
let backward_infer_step bag maxvar actives passives
(add_passive_goals g_passives new_goals)
;;
- let forward_infer_step (bag,maxvar,actives,passives,g_actives,g_passives)
+ let forward_infer_step
+ ((bag,maxvar,actives,passives,g_actives,g_passives) as s)
current iterno =
(* forward step *)
* P' = P + new' *)
debug (lazy "Forward infer step...");
debug (lazy("Number of actives : " ^ (string_of_int (List.length (fst actives)))));
+ let id,_,_,_ = current in
+ let _ = Terms.get_from_bag id bag in
+
+ match Sup.keep_simplified current actives bag maxvar
+ with
+ | _,None -> s
+ | bag,Some (current,actives) ->
+ debug (lazy "simplified...");
let bag, maxvar, actives, new_clauses =
Sup.infer_right bag maxvar current actives
in
| Some (bag,c1) -> bag,if c==c1 then c::acc else c::c1::acc)
(bag,[]) g_actives
in
- let ctable = IDX.index_unit_clause maxvar IDX.DT.empty current in
+ let ctable = IDX.index_unit_clause IDX.DT.empty current in
let bag, maxvar, new_goals =
List.fold_left
(fun (bag,m,acc) g ->
add_passive_clauses passives new_clauses, g_actives,
add_passive_goals g_passives new_goals
;;
+
+ let debug_status (_,_,actives,passives,g_actives,g_passives) =
+ lazy
+ ((Printf.sprintf "Number of active goals : %d\n"
+ (List.length g_actives)) ^
+ (Printf.sprintf "Number of passive goals : %d\n"
+ (g_passive_set_cardinal g_passives)) ^
+ (Printf.sprintf "Number of actives : %d\n"
+ (List.length (fst actives))) ^
+ (Printf.sprintf "Number of passives : %d\n"
+ (passive_set_cardinal passives)))
+ ;;
+
+
+ (* we just check if any of the active goals is subsumed by a
+ passive clause, or if any of the passive goal is subsumed
+ by an active or passive clause *)
+ let last_chance (bag,maxvar,actives,passives,g_actives,g_passives) =
+ debug (lazy("Last chance " ^ string_of_float
+ (Unix.gettimeofday())));
+ let active_t = snd actives in
+ let passive_t,_,_ = passives in
+ let g_passives =
+ WeightPassiveSet.fold
+ (fun (_,x) acc ->
+ if List.exists (Sup.are_alpha_eq x) g_actives then acc
+ else x::acc)
+ (fst g_passives) []
+ in
+ ignore
+ (List.iter
+ (fun x ->
+ ignore
+ (Sup.simplify_goal ~no_demod:true maxvar active_t bag [] x))
+ g_passives);
+ ignore
+ (List.iter
+ (fun x ->
+ ignore
+ (Sup.simplify_goal ~no_demod:true maxvar passive_t bag [] x))
+ (g_actives@g_passives));
+ raise (Stop (Timeout (maxvar,bag)))
+
+ let check_timeout = function
+ | None -> false
+ | Some timeout -> Unix.gettimeofday () > timeout
- let rec given_clause ~useage ~noinfer
+ let rec given_clause ~useage
bag maxvar iterno weight_picks max_steps timeout
actives passives g_actives g_passives
=
let iterno = iterno + 1 in
- if iterno = max_steps then raise (Stop (Timeout (maxvar,bag)));
- (* timeout check: gettimeofday called only if timeout set *)
- if timeout <> None &&
- (match timeout with
- | None -> assert false
- | Some timeout -> Unix.gettimeofday () > timeout) then
- if noinfer then
- begin
- debug
- (lazy("Last chance: all is indexed " ^ string_of_float
- (Unix.gettimeofday())));
- let maxgoals = 100 in
- ignore(List.fold_left
- (fun (acc,i) x ->
- if i < maxgoals then
- ignore(Sup.simplify_goal ~no_demod:true
- maxvar (snd actives) bag acc x)
- else
- ();
- x::acc,i+1)
- ([],0) g_actives);
- raise (Stop (Timeout (maxvar,bag)))
- end
- else if false then (* activates last chance strategy *)
- begin
- debug (lazy("Last chance: "^string_of_float (Unix.gettimeofday())));
- given_clause ~useage ~noinfer:true bag maxvar iterno weight_picks max_steps
- (Some (Unix.gettimeofday () +. 20.))
- actives passives g_actives g_passives;
- raise (Stop (Timeout (maxvar,bag)));
- end
- else raise (Stop (Timeout (maxvar,bag)));
-
+ if iterno = max_steps || check_timeout timeout then
+ last_chance (bag,maxvar,actives,passives,g_actives,g_passives)
+ else
let use_age = useage && (weight_picks = (iterno / 6 + 1)) in
let weight_picks = if use_age then 0 else weight_picks+1
in
- let rec aux_select bag passives g_passives =
+ let rec aux_select bag
+ (passives:IDX.DT.t * WeightPassiveSet.t * AgePassiveSet.t)
+ g_passives =
let backward,(weight,current),passives,g_passives =
select ~use_age passives g_passives
in
if use_age && weight > monster then
let bag,cl = Terms.add_to_bag current bag in
if backward then
- aux_select bag passives (add_passive_clause g_passives cl)
+ aux_select bag passives (add_passive_goal g_passives cl)
else
aux_select bag (add_passive_clause passives cl) g_passives
else
if backward then
let _ = debug (lazy("Selected goal : " ^ Pp.pp_unit_clause current)) in
match
- if noinfer then
- if weight > monster then None else Some (bag,current)
- else
- Sup.simplify_goal
- ~no_demod:false maxvar (snd actives) bag g_actives current
+ Sup.simplify_goal
+ ~no_demod:false maxvar (snd actives) bag g_actives current
with
- | None -> aux_select bag passives g_passives
- | Some (bag,g_current) ->
- if noinfer then
- let g_actives = g_current :: g_actives in
- bag,maxvar,actives,passives,g_actives,g_passives
- else
- backward_infer_step bag maxvar actives passives
- g_actives g_passives g_current iterno
+ | None -> aux_select bag passives g_passives
+ | Some (bag,g_current) ->
+ backward_infer_step bag maxvar actives passives
+ g_actives g_passives g_current iterno
else
- let _ = debug (lazy("Selected fact : " ^ Pp.pp_unit_clause current)) in
- (*let is_orphan = Sup.orphan_murder bag (fst actives) current in*)
- match
- if noinfer then
- if weight > monster then bag,None
- else bag, Some (current,actives)
- else if Sup.orphan_murder bag (fst actives) current then
+ let _ = debug (lazy("Selected fact : " ^ Pp.pp_unit_clause current))
+ in
+ if Sup.orphan_murder bag (fst actives) current then
let _ = debug (lazy "Orphan murdered") in
let bag = Terms.replace_in_bag (current,true,iterno) bag in
- bag, None
- else Sup.keep_simplified current actives bag maxvar
- with
- (*match Sup.one_pass_simplification current actives bag maxvar with*)
- | bag,None -> aux_select bag passives g_passives
- | bag,Some (current,actives) ->
-(* if is_orphan then prerr_endline
- ("WRONG discarded: " ^ (Pp.pp_unit_clause current));
- List.iter (fun x ->
- prerr_endline (Pp.pp_unit_clause x))
- (fst actives);*)
-
-(* List.iter (fun (id,_,_,_) -> let (cl,d) =
- Terms.M.find id bag in
- if d then prerr_endline
- ("WRONG discarded: " ^ (Pp.pp_unit_clause cl)))
- (current::fst actives);*)
- if noinfer then
- let actives =
- current::fst actives,
- IDX.index_unit_clause maxvar (snd actives) current
- in
- bag,maxvar,actives,passives,g_actives,g_passives
- else
- forward_infer_step
- (bag,maxvar,actives,passives,g_actives,g_passives)
- current iterno
+ aux_select bag passives g_passives
+ else
+ let s = bag,maxvar,actives,passives,g_actives,g_passives in
+ let s1 = forward_infer_step s current iterno
+ in
+ if s == s1 then aux_select bag passives g_passives
+ else s1
in
-
-
(*prerr_endline "Active table :";
(List.iter (fun x -> prerr_endline (Pp.pp_unit_clause x))
(fst actives)); *)
- let bag,maxvar,actives,passives,g_actives,g_passives =
+ let (bag,maxvar,actives,passives,g_actives,g_passives) as status =
aux_select bag passives g_passives
in
- debug
- (lazy(Printf.sprintf "Number of active goals : %d"
- (List.length g_actives)));
- debug
- (lazy(Printf.sprintf "Number of passive goals : %d"
- (passive_set_cardinal g_passives)));
- debug
- (lazy(Printf.sprintf "Number of actives : %d" (List.length (fst actives))));
- debug
- (lazy(Printf.sprintf "Number of passives : %d"
- (passive_set_cardinal passives)));
- given_clause ~useage ~noinfer
+ debug (debug_status status);
+ given_clause ~useage
bag maxvar iterno weight_picks max_steps timeout
actives passives g_actives g_passives
;;
- let paramod ~useage ~max_steps ?timeout (bag,maxvar) ~g_passives ~passives =
- let _initial_timestamp = Unix.gettimeofday () in
- let passives =
- add_passive_clauses ~no_weight:true passive_empty_set passives
- in
- let g_passives =
- add_passive_goals ~no_weight:true passive_empty_set g_passives
+ (* similar to given_clause, but it merely works on goals,
+ in parallel, at each iteration *)
+ let rec goal_narrowing iterno max_steps timeout status
+ =
+ debug (debug_status status);
+ let iterno = iterno + 1 in
+ if iterno = max_steps || check_timeout timeout then
+ last_chance status
+ else
+ let _,_,_,_,_,g_passives = status in
+ let passive_goals = WeightPassiveSet.elements (fst g_passives) in
+ let newstatus =
+ List.fold_left
+ (fun acc g ->
+ let bag,maxvar,actives,passives,g_actives,g_passives = acc in
+ let g_passives =
+ remove_passive_goal g_passives g in
+ let current = snd g in
+ let _ =
+ debug (lazy("Selected goal : " ^ Pp.pp_unit_clause current))
+ in
+ match
+ Sup.simplify_goal
+ ~no_demod:false maxvar (snd actives) bag g_actives current
+ with
+ | None -> acc
+ | Some (bag,g_current) ->
+ let _ =
+ debug (lazy("Demodulated goal : "
+ ^ Pp.pp_unit_clause g_current))
+ in
+ backward_infer_step bag maxvar actives passives
+ g_actives g_passives g_current iterno)
+ status passive_goals
in
- let g_actives = [] in
- let actives = [], IDX.DT.empty in
- try
- given_clause ~useage ~noinfer:false
- bag maxvar 0 0 max_steps timeout actives passives g_actives g_passives
- with
- | Sup.Success (bag, _, (i,_,_,_)) ->
- let l =
- let rec traverse ongoal (accg,acce) i =
- match Terms.get_from_bag i bag with
- | (id,_,_,Terms.Exact _),_,_ ->
- if ongoal then [i],acce else
- if (List.mem i acce) then accg,acce else accg,acce@[i]
- | (_,_,_,Terms.Step (_,i1,i2,_,_,_)),_,_ ->
- if (not ongoal) && (List.mem i acce) then accg,acce
- else
- let accg,acce =
- traverse false (traverse ongoal (accg,acce) i1) i2
- in
- if ongoal then i::accg,acce else accg,i::acce
- in
- let gsteps,esteps = traverse true ([],[]) i in
- (List.rev esteps)@gsteps
+ goal_narrowing iterno max_steps timeout newstatus
+
+ let compute_result bag i =
+ let l =
+ let rec traverse ongoal (accg,acce) i =
+ match Terms.get_from_bag i bag with
+ | (id,_,_,Terms.Exact _),_,_ ->
+ if ongoal then [i],acce else
+ if (List.mem i acce) then accg,acce else accg,acce@[i]
+ | (_,_,_,Terms.Step (_,i1,i2,_,_,_)),_,_ ->
+ if (not ongoal) && (List.mem i acce) then accg,acce
+ else
+ let accg,acce =
+ traverse false (traverse ongoal (accg,acce) i1) i2
+ in
+ if ongoal then i::accg,acce else accg,i::acce
in
- let max_w = List.fold_left (fun acc i ->
- let (cl,_,_) = Terms.get_from_bag i bag in
- max acc (Order.compute_unit_clause_weight cl)) 0 l in
- prerr_endline "Statistics :";
- prerr_endline ("Max weight : " ^ (string_of_int max_w));
+ let gsteps,esteps = traverse true ([],[]) i in
+ (List.rev esteps)@gsteps
+ in
+ prerr_endline ("steps: " ^ (string_of_int (List.length l)));
+ let max_w =
+ List.fold_left
+ (fun acc i ->
+ let (cl,_,_) = Terms.get_from_bag i bag in
+ max acc (Order.compute_unit_clause_weight cl)) 0 l in
+ prerr_endline "Statistics :";
+ prerr_endline ("Max weight : " ^ (string_of_int max_w));
(* List.iter (fun id -> let ((_,lit,_,proof as cl),d,it) =
Terms.get_from_bag id bag in
if d then
(Printf.sprintf "Id : %d, selected at %d, weight %d by %s"
id it (Order.compute_unit_clause_weight cl)
(Pp.pp_proof_step proof))) l;*)
- (*
prerr_endline "Proof:";
- List.iter (fun x ->
- prerr_endline (Pp.pp_unit_clause (fst(Terms.M.find x bag)))) l;
- *)
+ List.iter
+ (fun x ->
+ let cl,_,_ = Terms.get_from_bag x bag in
+ prerr_endline (Pp.pp_unit_clause cl)) l;
Unsatisfiable [ bag, i, l ]
+
+ let paramod ~useage ~max_steps ?timeout (bag,maxvar) ~g_passives ~passives =
+ let _initial_timestamp = Unix.gettimeofday () in
+ let passives =
+ add_passive_clauses ~no_weight:true passive_empty_set passives
+ in
+ let g_passives =
+ add_passive_goals ~no_weight:true g_passive_empty_set g_passives
+ in
+ let g_actives = [] in
+ let actives = [], IDX.DT.empty in
+ try
+ given_clause ~useage ~noinfer:false
+ bag maxvar 0 0 max_steps timeout actives passives g_actives g_passives
+ with
+ | Sup.Success (bag, _, (i,_,_,_)) ->
+ compute_result bag i
+ | Stop (Unsatisfiable _) -> Error "stop bug solution found!"
+ | Stop o -> o
+ ;;
+
+let fast_eq_check s goal =
+ let s = initialize_goal s goal in
+ try
+ goal_narrowing 0 2 None s
+ with
+ | Sup.Success (bag, _, (i,_,_,_)) ->
+ compute_result bag i
| Stop (Unsatisfiable _) -> Error "stop bug solution found!"
| Stop o -> o
;;