-(* LOOPING : COL057-1.ma *)
-
-let debug s =
- () (* prerr_endline s *)
-;;
-
-let nparamod rdb metasenv subst context t table =
- let max_nb_iter = 999999999 in
- let amount_of_time = 300.0 in
- let module C = struct
- let metasenv = metasenv
- let subst = subst
- let context = context
- end
- in
- let nb_iter = ref 0 in
- let module B = NCicBlob.NCicBlob(C) in
- let module Pp = Pp.Pp (B) in
- let module FU = FoUnif.Founif(B) in
- let module IDX = Index.Index(B) in
- let module Sup = Superposition.Superposition(B) in
- let module Utils = FoUtils.Utils(B) in
+(*
+ ||M|| This file is part of HELM, an Hypertextual, Electronic
+ ||A|| Library of Mathematics, developed at the Computer Science
+ ||T|| Department, University of Bologna, Italy.
+ ||I||
+ ||T|| HELM is free software; you can redistribute it and/or
+ ||A|| modify it under the terms of the GNU General Public License
+ \ / version 2 or (at your option) any later version.
+ \ / This software is distributed as is, NO WARRANTY.
+ V_______________________________________________________________ *)
+
+(* $Id: orderings.ml 9869 2009-06-11 22:52:38Z denes $ *)
+
+let debug s = prerr_endline s ;;
+let debug _ = ();;
+
+let monster = 100;;
- let module OrderedPassives =
+module Paramod (B : Terms.Blob) = struct
+ 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
+ module Pp = Pp.Pp (B)
+ module FU = FoUnif.Founif(B)
+ module IDX = Index.Index(B)
+ module Sup = Superposition.Superposition(B)
+ module Utils = FoUtils.Utils(B)
+ module Order = Orderings.Orderings(B)
+ module WeightOrderedPassives =
+ struct
+ type t = B.t Terms.passive_clause
+ let compare = Utils.compare_passive_clauses_weight
+ end
+
+ module AgeOrderedPassives =
struct
- type t = B.t Terms.passive_clause
-
- let compare = Utils.compare_passive_clauses
+ type t = B.t Terms.passive_clause
+ let compare = Utils.compare_passive_clauses_age
end
- in
- let module PassiveSet = Set.Make(OrderedPassives)
- in
- let add_passive_clause passives cl =
- PassiveSet.add (Utils.mk_passive_clause cl) passives
- in
- let timeout = Unix.gettimeofday () +. amount_of_time in
-
- (* TODO : fairness condition *)
- let select passives g_passives =
- if PassiveSet.is_empty passives then begin
- assert (not (PassiveSet.is_empty g_passives));
- let g_cl = PassiveSet.min_elt g_passives in
- (true,snd g_cl,passives,PassiveSet.remove g_cl g_passives)
+
+ module WeightPassiveSet = Set.Make(WeightOrderedPassives)
+ module AgePassiveSet = Set.Make(AgeOrderedPassives)
+
+ let add_passive_clause ?(no_weight=false) (passives_w,passives_a) cl =
+ let cl = if no_weight then (0,cl)
+ else Utils.mk_passive_clause cl in
+ WeightPassiveSet.add cl passives_w, AgePassiveSet.add cl passives_a
+ ;;
+
+ let add_passive_goal ?(no_weight=false) (passives_w,passives_a) g =
+ let g = if no_weight then (0,g)
+ else Utils.mk_passive_goal g in
+ WeightPassiveSet.add g passives_w, AgePassiveSet.add g passives_a
+ ;;
+
+ let remove_passive_clause (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 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_goals ?(no_weight=false)
+ (passives_w,passives_a) new_clauses =
+ let new_clauses_w,new_clauses_a =
+ List.fold_left (add_passive_goal ~no_weight)
+ (WeightPassiveSet.empty,AgePassiveSet.empty) new_clauses
+ in
+ (WeightPassiveSet.union new_clauses_w passives_w,
+ AgePassiveSet.union new_clauses_a 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
+ assert (not (AgePassiveSet.is_empty passives_a)); false
+ end
+ ;;
+
+ let passive_set_cardinal (passives_w,_) = WeightPassiveSet.cardinal passives_w
+
+ let passive_empty_set =
+ (WeightPassiveSet.empty,AgePassiveSet.empty)
+ ;;
+
+ 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 mk_clause bag maxvar (t,ty) =
+ let (proof,ty) = B.saturate t ty in
+ let c, maxvar = Utils.mk_unit_clause maxvar ty proof in
+ let bag, c = Terms.add_to_bag c bag in
+ (bag, maxvar), c
+ ;;
+
+ let mk_passive (bag,maxvar) = mk_clause bag maxvar;;
+ let mk_goal (bag,maxvar) = mk_clause bag maxvar;;
+
+ (* 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
+ 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)
end
- else let cl = PassiveSet.min_elt passives in
- if PassiveSet.is_empty g_passives then
- (false,snd cl,PassiveSet.remove cl passives,g_passives)
+ else let cl = pick_min_passive ~use_age:use_age passives in
+ if is_passive_set_empty g_passives then
+ (false,cl,remove_passive_clause passives cl,g_passives)
else
- let g_cl = PassiveSet.min_elt g_passives in
- if (fst cl <= fst g_cl) then
- (false,snd cl,PassiveSet.remove cl passives,g_passives)
- else
- (true,snd g_cl,passives,PassiveSet.remove g_cl g_passives)
- in
-
- let backward_infer_step bag maxvar actives passives g_actives g_passives g_current =
+ let g_cl = pick_min_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
+ in
+ if cmp then
+ (false,cl,remove_passive_clause passives cl,g_passives)
+ else
+ (true,g_cl,passives,remove_passive_clause g_passives g_cl)
+ ;;
+
+ let backward_infer_step bag maxvar actives passives
+ g_actives g_passives g_current iterno =
(* superposition left, simplifications on goals *)
debug "infer_left step...";
- debug ("Selected goal : " ^ Pp.pp_unit_clause g_current);
- let bag, g_current =
- Sup.simplify_goal maxvar (snd actives) bag g_current
- in
- debug "Simplified goal";
let bag, maxvar, new_goals =
Sup.infer_left bag maxvar g_current actives
in
- debug "Performed infer_left step";
- let new_goals = List.fold_left add_passive_clause
- PassiveSet.empty new_goals
- in
- bag, maxvar, actives, passives, g_current::g_actives,
- (PassiveSet.union new_goals g_passives)
- in
+ debug "Performed infer_left step";
+ let bag = Terms.replace_in_bag (g_current,false,iterno) bag in
+ bag, maxvar, actives, passives, g_current::g_actives,
+ (add_passive_goals g_passives new_goals)
+ ;;
let forward_infer_step bag maxvar actives passives g_actives
- g_passives current =
+ g_passives current iterno =
(* forward step *)
(* e = select P *
* new'= demod A'' new *
* P' = P + new' *)
debug "Forward infer step...";
- debug "Selected and simplified";
- (* debug ("Fact after simplification :"
- ^ Pp.pp_unit_clause current); *)
let bag, maxvar, actives, new_clauses =
Sup.infer_right bag maxvar current actives
in
debug "Demodulating goals with actives...";
- debug ("Current : " ^ (Pp.pp_unit_clause current));
- debug ("Active goal : " ^ (Pp.pp_unit_clause (List.hd g_actives)));
(* keep goals demodulated w.r.t. actives and check if solved *)
let bag, g_actives =
- List.fold_left
+ List.fold_left
(fun (bag,acc) c ->
- let bag, c = Sup.simplify_goal maxvar (snd actives) bag c in
- bag, c::acc)
+ match
+ Sup.simplify_goal ~no_demod:false maxvar (snd actives) bag acc c
+ with
+ | None -> bag, acc
+ | Some (bag,c1) -> bag,if c==c1 then c::acc else c::c1::acc)
(bag,[]) g_actives
in
- debug (Pp.pp_unit_clause current);
- debug (Pp.pp_unit_clause (List.hd g_actives));
let ctable = IDX.index_unit_clause IDX.DT.empty current in
let bag, maxvar, new_goals =
- List.fold_left
- (fun (bag,m,acc) g ->
- let bag, m, ng = Sup.infer_left bag m g
- ([current],ctable) in
- bag,m,ng@acc)
- (bag,maxvar,[]) g_actives
+ List.fold_left
+ (fun (bag,m,acc) g ->
+ let bag, m, ng = Sup.infer_left bag m g ([current],ctable) in
+ bag,m,ng@acc)
+ (bag,maxvar,[]) g_actives
in
- let new_clauses = List.fold_left add_passive_clause
- PassiveSet.empty new_clauses in
- let new_goals = List.fold_left add_passive_clause
- PassiveSet.empty new_goals in
- debug (string_of_int (PassiveSet.cardinal new_goals));
- debug (string_of_int (PassiveSet.cardinal g_passives));
- bag, maxvar, actives,
- PassiveSet.union new_clauses passives, g_actives,
- PassiveSet.union new_goals g_passives
- in
-
- let rec given_clause bag maxvar actives passives g_actives g_passives =
- (* prerr_endline "Bag :"; prerr_endline (Pp.pp_bag bag);
- prerr_endline "Active table :";
- (List.iter (fun x -> prerr_endline (Pp.pp_unit_clause x))
- (fst actives)); *)
- incr nb_iter; if !nb_iter = max_nb_iter then
- raise (Failure "No iterations left !");
- if Unix.gettimeofday () > timeout then
- raise (Failure "Timeout !");
-
-
- let rec aux_select passives g_passives =
- let backward,current,passives,g_passives = select passives g_passives in
- if backward then
- backward_infer_step bag maxvar actives passives
- g_actives g_passives current
+ let bag = Terms.replace_in_bag (current,false,iterno) bag in
+ bag, maxvar, actives,
+ add_passive_clauses passives new_clauses, g_actives,
+ add_passive_goals g_passives new_goals
+ ;;
+
+ let rec given_clause ~noinfer
+ 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
+ ("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("Last chance: "^string_of_float (Unix.gettimeofday()));
+ given_clause ~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)));
+
+ let use_age = weight_picks = (iterno / 10 + 1) in
+ let weight_picks = if use_age then 0 else weight_picks+1
+ in
+
+ let rec aux_select bag passives 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)
+ else
+ aux_select bag (add_passive_clause passives cl) g_passives
else
- (* debug ("Selected fact : " ^ Pp.pp_unit_clause current); *)
- match Sup.keep_simplified current actives bag maxvar with
- (* match Sup.one_pass_simplification current actives bag maxvar with*)
- | None -> aux_select passives g_passives
- | Some x -> let (current, bag, actives) = x in
- forward_infer_step bag maxvar actives passives
- g_actives g_passives current
+ let bag = Terms.replace_in_bag (current,false,iterno) bag in
+ if backward then
+ let _ = debug ("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
+ 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
+ else
+ let _ = debug ("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 "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 (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
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 =
- aux_select passives g_passives
+ aux_select bag passives g_passives
in
- assert (PassiveSet.cardinal g_passives < 2);
debug
- (Printf.sprintf "Number of active goals : %d"
- (List.length g_actives));
+ (Printf.sprintf "Number of active goals : %d"
+ (List.length g_actives));
debug
- (Printf.sprintf "Number of passive goals : %d"
- (PassiveSet.cardinal g_passives));
+ (Printf.sprintf "Number of passive goals : %d"
+ (passive_set_cardinal g_passives));
debug
- (Printf.sprintf "Number of actives : %d" (List.length (fst actives)));
+ (Printf.sprintf "Number of actives : %d" (List.length (fst actives)));
debug
- (Printf.sprintf "Number of passives : %d"
- (PassiveSet.cardinal passives));
- given_clause bag maxvar actives passives g_actives g_passives
- in
+ (Printf.sprintf "Number of passives : %d"
+ (passive_set_cardinal passives));
+ given_clause ~noinfer
+ bag maxvar iterno weight_picks max_steps timeout
+ actives passives g_actives g_passives
+ ;;
- let mk_clause bag maxvar (t,ty) =
- let (proof,ty) = B.saturate t ty in
- let c, maxvar = Utils.mk_unit_clause maxvar ty proof in
- let bag, c = Utils.add_to_bag bag c in
- bag, maxvar, c
- in
- let bag, maxvar, goal = mk_clause Terms.M.empty 0 t in
- let g_actives = [] in
- let g_passives = PassiveSet.singleton (Utils.mk_passive_clause goal) in
- let passives, bag, maxvar =
- List.fold_left
- (fun (cl, bag, maxvar) t ->
- let bag, maxvar, c = mk_clause bag maxvar t in
- (add_passive_clause cl c), bag, maxvar)
- (PassiveSet.empty, bag, maxvar) table
- in
- let actives = [], IDX.DT.empty in
- try given_clause bag maxvar actives passives g_actives g_passives
- with
- | Sup.Success (bag, _, (i,_,_,_)) ->
- let l =
- let rec traverse ongoal (accg,acce) i =
- match Terms.M.find 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
- in
- prerr_endline (Printf.sprintf "Found proof in %d iterations, %fs"
- !nb_iter
- (Unix.gettimeofday() -. timeout +. amount_of_time));
- (* prerr_endline "Proof:";
- List.iter (fun x -> prerr_endline (string_of_int x);
- prerr_endline (Pp.pp_unit_clause (Terms.M.find x bag))) l;*)
- let proofterm = B.mk_proof bag i l in
- prerr_endline (Printf.sprintf "Got proof term, %fs"
- (Unix.gettimeofday() -. timeout +. amount_of_time));
- let metasenv, proofterm =
- let rec aux k metasenv = function
- | NCic.Meta _ as t -> metasenv, t
- | NCic.Implicit _ ->
- let metasenv,i,_,_=NCicMetaSubst.mk_meta metasenv context `Term in
- metasenv, NCic.Meta (i,(k,NCic.Irl (List.length context)))
- | t -> NCicUntrusted.map_term_fold_a
- (fun _ k -> k+1) k aux metasenv t
+ let paramod ~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
+ in
+ let g_actives = [] in
+ let actives = [], IDX.DT.empty in
+ try
+ given_clause ~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
in
- aux 0 metasenv proofterm
- in
- let metasenv, subst, proofterm, _prooftype =
- NCicRefiner.typeof
- (rdb#set_coerc_db NCicCoercion.empty_db)
- metasenv subst context proofterm None
- in
- proofterm, metasenv, subst
- | Failure _ -> prerr_endline
- (Printf.sprintf "FAILURE in %d iterations" !nb_iter); assert false
-;;
+ 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
+ prerr_endline
+ (Printf.sprintf "Id : %d, selected at %d, weight %d,disc, by %s"
+ id it (Order.compute_unit_clause_weight cl)
+ (Pp.pp_proof_step proof))
+ else
+ prerr_endline
+ (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
+ (Printf.sprintf "Found proof, %fs"
+ (Unix.gettimeofday() -. initial_timestamp));
+ (*
+ prerr_endline "Proof:";
+ List.iter (fun x ->
+ prerr_endline (Pp.pp_unit_clause (fst(Terms.M.find x bag)))) l;
+ *)
+ Unsatisfiable [ bag, i, l ]
+ | Stop (Unsatisfiable _) -> Error "stop bug solution found!"
+ | Stop o -> o
+ ;;
+
+end
projects / helm.git / blobdiff