-let debug s =
- () (* prerr_endline s *)
-;;
-
-let nparamod rdb metasenv subst context t table =
- let nb_iter = ref 200 in
- let amount_of_time = 20.0 in
- let module C = struct
- let metasenv = metasenv
- let subst = subst
- let context = context
- end
- 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 module OrderedPassives =
+let max_nb_iter = 999999999 ;;
+let amount_of_time = 300.0 ;;
+
+module Paramod (B : Terms.Blob) = struct
+ exception Failure of string * B.t Terms.bag * int * int
+ 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 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
+ 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 =
- if PassiveSet.is_empty passives then None
- else let cl = PassiveSet.min_elt passives in
- Some (snd cl,PassiveSet.remove cl passives)
- in
- let rec given_clause bag maxvar actives
- passives g_actives 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 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 (passives_w,passives_a) new_clauses =
+ let new_clauses_w,new_clauses_a = List.fold_left add_passive_clause
+ (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 = Utils.add_to_bag bag c 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
+ assert (not (is_passive_set_empty g_passives));
+ let g_cl = pick_min_passive ~use_age:use_age g_passives in
+ (true,snd g_cl,passives,remove_passive_clause 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
+ (false,snd cl,remove_passive_clause passives cl,g_passives)
+ else
+ let g_cl = pick_min_passive ~use_age:use_age g_passives in
+ if (fst cl <= fst g_cl) then
+ (false,snd cl,remove_passive_clause passives cl,g_passives)
+ else
+ (true,snd g_cl,passives,remove_passive_clause g_passives g_cl)
+ ;;
+
+ let backward_infer_step bag maxvar actives passives
+ g_actives g_passives g_current =
+ (* superposition left, simplifications on goals *)
+ debug "infer_left step...";
+ let bag, maxvar, new_goals =
+ Sup.infer_left bag maxvar g_current actives
+ in
+ debug "Performed infer_left step";
+ bag, maxvar, actives, passives, g_current::g_actives,
+ (add_passive_clauses g_passives new_goals)
+ ;;
+
+ let forward_infer_step bag maxvar actives passives g_actives
+ g_passives current =
+ (* forward step *)
- decr nb_iter; if !nb_iter = 0 then
- (*(prerr_endline "Bag :"; prerr_endline (Pp.pp_bag bag);
+ (* e = select P *
+ * e' = demod A e *
+ * A' = demod [e'] A *
+ * A'' = A' + e' *
+ * e'' = fresh e' *
+ * new = supright e'' A'' *
+ * new'= demod A'' new *
+ * P' = P + new' *)
+ debug "Forward infer step...";
+ let bag, maxvar, actives, new_clauses =
+ Sup.infer_right bag maxvar current actives
+ in
+ debug "Demodulating goals with actives...";
+ (* keep goals demodulated w.r.t. actives and check if solved *)
+ let bag, g_actives =
+ List.fold_left
+ (fun (bag,acc) c ->
+ match Sup.simplify_goal maxvar (snd actives) bag acc c with
+ | None -> bag, acc
+ | Some (bag,c) -> bag,c::acc)
+ (bag,[]) g_actives
+ 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 ->
+ let bag, m, ng = Sup.infer_left bag m g
+ ([current],ctable) in
+ bag,m,ng@acc)
+ (bag,maxvar,[]) g_actives
+ in
+ bag, maxvar, actives,
+ add_passive_clauses passives new_clauses, g_actives,
+ add_passive_clauses g_passives new_goals
+ ;;
+
+ let rec given_clause bag maxvar nb_iter timeout 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));*)
- raise (Failure "No iterations left !");
+ (fst actives)); *)
+ let nb_iter = nb_iter + 1 in
+ if nb_iter = max_nb_iter then
+ raise (Failure ("No iterations left !",bag,maxvar,nb_iter));
if Unix.gettimeofday () > timeout then
- raise (Failure "Timeout !");
+ raise (Failure ("Timeout !",bag,maxvar,nb_iter));
+ let use_age = nb_iter mod 10 = 0 in
-
- (* superposition left, simplifications on goals *)
- debug "infer_left step...";
- let bag, maxvar, g_actives, g_passives =
- match select g_passives with
- | None -> bag, maxvar, g_actives, g_passives
- | Some (g_current, g_passives) ->
- debug ("Selected goal : " ^ Pp.pp_unit_clause g_current);
- let bag, g_current =
- Sup.simplify_goal maxvar (snd actives) bag g_current
- in
- let bag, maxvar, new_goals =
- Sup.infer_left bag maxvar g_current actives
- in
- let new_goals = List.fold_left add_passive_clause
- PassiveSet.empty new_goals
- in
- bag, maxvar, g_current::g_actives,
- (PassiveSet.union new_goals g_passives)
+ let rec aux_select passives g_passives =
+ let backward,current,passives,g_passives =
+ select ~use_age passives g_passives
+ in
+ if backward then
+ match Sup.simplify_goal maxvar (snd actives) bag g_actives current with
+ | None -> aux_select passives g_passives
+ | Some x -> let bag,g_current = x in
+ backward_infer_step bag maxvar actives passives
+ g_actives g_passives g_current
+ 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
+ in
+
+ let bag,maxvar,actives,passives,g_actives,g_passives =
+ aux_select passives g_passives
in
debug
(Printf.sprintf "Number of active goals : %d"
(List.length g_actives));
debug
(Printf.sprintf "Number of passive goals : %d"
- (PassiveSet.cardinal g_passives));
-
- (* forward step *)
-
- (* e = select P *
- * e' = demod A e *
- * A' = demod [e'] A *
- * A'' = A' + e' *
- * e'' = fresh e' *
- * new = supright e'' A'' *
- * new'= demod A'' new *
- * P' = P + new' *)
- debug "Forward infer step...";
- let bag, maxvar, actives, passives, g_passives =
- let rec aux_simplify passives =
- match select passives with
- | None -> assert false
- | Some (current, passives) ->
- 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_simplify passives
- | Some x -> x,passives
- in
- let (current, bag, actives),passives = aux_simplify passives
- in
- 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...";
- (* keep goals demodulated w.r.t. actives and check if solved *)
- let bag, g_actives =
- List.fold_left
- (fun (bag,acc) c ->
- let bag, c = Sup.simplify_goal maxvar (snd actives) bag c in
- bag, c::acc)
- (bag,[]) g_actives
- 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 ->
- let bag, m, ng = Sup.infer_left bag maxvar 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
- bag, maxvar, actives,
- PassiveSet.union new_clauses passives,
- PassiveSet.union new_goals g_passives
- in
+ (passive_set_cardinal g_passives));
debug
(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
+ (passive_set_cardinal passives));
+ given_clause
+ bag maxvar nb_iter 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 module S =
- HTopoSort.Make(struct type t=int let compare=Pervasives.compare end)
- in
- let module C : Set.S with type elt = int =
- Set.Make(struct type t=int let compare=Pervasives.compare end)
- in
- let all id =
+ let paramod (bag,maxvar) ~g_passives ~passives =
+ let timeout = Unix.gettimeofday () +. amount_of_time in
+ let passives = add_passive_clauses passive_empty_set passives in
+ let g_passives = add_passive_clauses passive_empty_set g_passives in
+ let g_actives = [] in
+ let actives = [], IDX.DT.empty in
+ try
+ given_clause
+ bag maxvar 0 timeout 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
- | (_,_,_,Terms.Exact _) -> accg, acce
- | (_,_,_,Terms.Step (_,i1,i2,_,_,_)) ->
- let accg, acce =
- if ongoal then C.add i1 accg, acce
- else accg, C.add i1 acce
- in
- let acce = C.add i2 acce in
- traverse false (traverse ongoal (accg,acce) i1) i2
+ | (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
- traverse true (C.empty,C.empty) id
+ let gsteps,esteps = traverse true ([],[]) i in
+ (List.rev esteps)@gsteps
in
- let esteps =
- S.topological_sort (C.elements (snd (all i)))
- (fun i -> C.elements (C.union (snd (all i)) (fst (all i)) ))
- in
- let gsteps =
- S.topological_sort (C.elements (fst (all i)))
- (fun i -> C.elements (fst (all i)))
- in
- let gsteps = List.rev gsteps in
- esteps@(i::gsteps)
- in
- prerr_endline "YES!";
- prerr_endline ("Meeting point : " ^ (string_of_int i));
- 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
- 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
- in
- aux 0 metasenv proofterm
- in
- prerr_endline
- ("prova generata: " ^ NCicPp.ppterm
- ~metasenv ~subst ~context proofterm);
- let metasenv, subst, proofterm, _prooftype =
- NCicRefiner.typeof
- (rdb#set_coerc_db NCicCoercion.empty_db)
- metasenv subst context proofterm None
- in
- prerr_endline "prova raffinata";
- proofterm, metasenv, subst
- | Failure _ -> prerr_endline "FAILURE"; assert false
-;;
+ prerr_endline
+ (Printf.sprintf "Found proof, %fs"
+ (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;
+ [ bag, i, l ]
+ | Failure (msg,_bag,_maxvar,nb_iter) ->
+ prerr_endline msg;
+ prerr_endline (Printf.sprintf "FAILURE in %d iterations" nb_iter);
+ []
+ ;;
+
+end