+(* LOOPING : COL057-1.ma *)
+
let debug s =
- () (* prerr_endline s *)
+ () (* prerr_endline s *)
;;
let nparamod rdb metasenv subst context t table =
- let nb_iter = ref 200 in
- prerr_endline "========================================";
+ 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 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
+ 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)
+ end
else let cl = PassiveSet.min_elt passives in
- Some (snd cl,PassiveSet.remove cl passives)
+ if PassiveSet.is_empty g_passives then
+ (false,snd cl,PassiveSet.remove cl passives,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 =
+ (* 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
- let rec given_clause bag maxvar actives
- passives g_actives g_passives =
+
+ 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...";
+ 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...";
+ (* 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 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
+ 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));*)
- raise (Failure "Timeout !");
+ (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 !");
-
- (* 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 passives g_passives in
+ if backward then
+ backward_infer_step bag maxvar actives passives
+ g_actives g_passives 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
- prerr_endline
+
+ 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));
- prerr_endline
+ 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 with
- (* match Sup.one_pass_simplification current actives bag 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
- prerr_endline
+ debug
(Printf.sprintf "Number of actives : %d" (List.length (fst actives)));
- prerr_endline
+ debug
(Printf.sprintf "Number of passives : %d"
(PassiveSet.cardinal passives));
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 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
- in
- traverse true (C.empty,C.empty) id
- in
- let esteps =
- S.topological_sort (C.elements (snd (all i)))
- (fun i -> C.elements (snd (all i)))
- in
- let gsteps =
- S.topological_sort (C.elements (fst (all i)))
- (fun i -> C.elements (fst (all i)))
+ 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 = List.rev gsteps in
- esteps@gsteps
+ let gsteps,esteps = traverse true ([],[]) i in
+ (List.rev esteps)@gsteps
in
- prerr_endline "YES!";
- prerr_endline "Proof:";
- List.iter (fun x ->
- prerr_endline (Pp.pp_unit_clause (Terms.M.find x bag))) l;
+ 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
- (NCicPp.ppterm ~metasenv:C.metasenv ~subst:C.subst ~context:C.context
- proofterm);
- let _metasenv, _subst, _proofterm, _prooftype =
- NCicRefiner.typeof rdb C.metasenv C.subst C.context proofterm None
+ 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
+ in
+ aux 0 metasenv proofterm
in
- prerr_endline "REFINED!";
- ()
- | Failure _ -> prerr_endline "FAILURE";
+ let metasenv, subst, proofterm, _prooftype =
+ NCicRefiner.typeof
+ (rdb#set_coerc_db NCicCoercion.empty_db)
+ metasenv subst context proofterm None
+ in
+ proofterm, metasenv, subst
+ | Failure s ->
+ prerr_endline s;
+ prerr_endline
+ (Printf.sprintf "FAILURE in %d iterations" !nb_iter); assert false
;;