* http://cs.unibo.it/helm/.
*)
+let _profiler = <:profiler<_profiler>>;;
+
(* $Id$ *)
open Inference;;
open Utils;;
-
-(*
-for debugging
-let check_equation env equation msg =
- let w, proof, (eq_ty, left, right, order), metas, args = equation in
- let metasenv, context, ugraph = env in
- let metasenv' = metasenv @ metas in
- try
- CicTypeChecker.type_of_aux' metasenv' context left ugraph;
- CicTypeChecker.type_of_aux' metasenv' context right ugraph;
- ()
- with
- CicUtil.Meta_not_found _ as exn ->
- begin
- prerr_endline msg;
- prerr_endline (CicPp.ppterm left);
- prerr_endline (CicPp.ppterm right);
- raise exn
- end
-*)
-
(* set to false to disable paramodulation inside auto_tac *)
let connect_to_auto = true;;
(* equality-selection related globals *)
let use_fullred = ref true;;
-let weight_age_ratio = ref 4 (* 5 *);; (* settable by the user *)
+let weight_age_ratio = ref 6 (* 5 *);; (* settable by the user *)
let weight_age_counter = ref !weight_age_ratio ;;
let symbols_ratio = ref 0 (* 3 *);;
let symbols_counter = ref 0;;
let maxdepth = ref 3;;
let maxwidth = ref 3;;
-
+type new_proof =
+ Equality.goal_proof * Equality.proof * int * Subst.substitution * Cic.metasenv
type result =
- | ParamodulationFailure
- | ParamodulationSuccess of Inference.proof option * environment
+ | ParamodulationFailure of string
+ | ParamodulationSuccess of new_proof
;;
-type goal = proof * Cic.metasenv * Cic.term;;
+type goal = Equality.goal_proof * Cic.metasenv * Cic.term;;
type theorem = Cic.term * Cic.term * Cic.metasenv;;
-let symbols_of_equality (_, _, (_, left, right, _), _, _) =
+let symbols_of_equality equality =
+ let (_, _, (_, left, right, _), _,_) = Equality.open_equality equality in
let m1 = symbols_of_term left in
let m =
TermMap.fold
m
;;
-module OrderedEquality = struct
- type t = Inference.equality
+(* griggio *)
+module OrderedEquality = struct
+ type t = Equality.equality
let compare eq1 eq2 =
- match meta_convertibility_eq eq1 eq2 with
+ match Equality.meta_convertibility_eq eq1 eq2 with
| true -> 0
- | false ->
- let w1, _, (ty, left, right, _), _, a = eq1
- and w2, _, (ty', left', right', _), _, a' = eq2 in
+ | false ->
+ let w1, _, (ty,left, right, _), m1,_ = Equality.open_equality eq1 in
+ let w2, _, (ty',left', right', _), m2,_ = Equality.open_equality eq2 in
match Pervasives.compare w1 w2 with
- | 0 ->
- let res = (List.length a) - (List.length a') in
- if res <> 0 then res else (
- try
- let res = Pervasives.compare (List.hd a) (List.hd a') in
- if res <> 0 then res else Pervasives.compare eq1 eq2
- with Failure "hd" -> Pervasives.compare eq1 eq2
- )
- | res -> res
+ | 0 ->
+ let res = (List.length m1) - (List.length m2) in
+ if res <> 0 then res else
+ Equality.compare eq1 eq2
+ | res -> res
end
module EqualitySet = Set.Make(OrderedEquality);;
exception Empty_list;;
let passive_is_empty = function
- | ([], _), ([], _), _ -> true
+ | ([], _), _ -> true
| _ -> false
;;
-let size_of_passive ((_, ns), (_, ps), _) =
- (EqualitySet.cardinal ns) + (EqualitySet.cardinal ps)
+let size_of_passive ((passive_list, ps), _) = List.length passive_list
+(* EqualitySet.cardinal ps *)
;;
-let size_of_active (active_list, _) =
- List.length active_list
+let size_of_active (active_list, _) = List.length active_list
;;
let age_factor = 0.01;;
-let min_elt weight l =
- fst
- (match l with
- [] -> raise Empty_list
- | a::tl ->
- let wa = float_of_int (weight a) in
- let x = ref 0. in
- List.fold_left
- (fun (current,w) arg ->
- x:=!x +. 1.;
- let w1 = weight arg in
- let wa = (float_of_int w1) +. !x *. age_factor in
- if wa < w then (arg,wa) else (current,w))
- (a,wa) tl)
-;;
-
-(*
-let compare eq1 eq2 =
- let w1, _, (ty, left, right, _), m1, _ = eq1 in
- let w2, _, (ty', left', right', _), m2, _ = eq2 in
- match Pervasives.compare w1 w2 with
- | 0 -> (List.length m1) - (List.length m2)
- | res -> res
-;;
-*)
-
(**
selects one equality from passive. The selection strategy is a combination
of weight, age and goal-similarity
*)
-let rec select env goals passive (active, _) =
+
+let rec select env (goals,_) passive =
processed_clauses := !processed_clauses + 1;
let goal =
- match (List.rev goals) with (_, goal::_)::_ -> goal | _ -> assert false
- in
- let (neg_list, neg_set), (pos_list, pos_set), passive_table = passive in
- let remove eq l =
- List.filter (fun e -> e <> eq) l
+ match (List.rev goals) with goal::_ -> goal | _ -> assert false
in
+ let (pos_list, pos_set), passive_table = passive in
+ let remove eq l = List.filter (fun e -> Equality.compare e eq <> 0) l in
if !weight_age_ratio > 0 then
weight_age_counter := !weight_age_counter - 1;
match !weight_age_counter with
| 0 -> (
weight_age_counter := !weight_age_ratio;
- match neg_list, pos_list with
- | hd::tl, pos ->
- (* Negatives aren't indexed, no need to remove them... *)
- (Negative, hd),
- ((tl, EqualitySet.remove hd neg_set), (pos, pos_set), passive_table)
- | [], (hd:EqualitySet.elt)::tl ->
- let w,_,_,_,_ = hd in
- let passive_table =
- Indexing.remove_index passive_table hd
- in (Positive, hd),
- (([], neg_set), (tl, EqualitySet.remove hd pos_set), passive_table)
- | _, _ -> assert false
- )
- | _ when (!symbols_counter > 0) && (EqualitySet.is_empty neg_set) ->
+ let rec skip_giant pos_list pos_set passive_table =
+ match pos_list with
+ | (hd:EqualitySet.elt)::tl ->
+ let w,_,_,_,_ = Equality.open_equality hd in
+ let passive_table =
+ Indexing.remove_index passive_table hd
+ in
+ let pos_set = EqualitySet.remove hd pos_set in
+ if w < 500 then
+ hd, ((tl, pos_set), passive_table)
+ else
+ (prerr_endline ("\n\n\nGIANT SKIPPED: "^string_of_int w^"\n\n\n");
+ skip_giant tl pos_set passive_table)
+ | _ -> assert false
+ in
+ skip_giant pos_list pos_set passive_table)
+ | _ when (!symbols_counter > 0) ->
(symbols_counter := !symbols_counter - 1;
let cardinality map =
TermMap.fold (fun k v res -> res + v) map 0
let passive_table =
Indexing.remove_index passive_table current
in
- (Positive, current),
- (([], neg_set),
- (remove current pos_list, EqualitySet.remove current pos_set),
- passive_table)
- )
+ current,
+ ((remove current pos_list, EqualitySet.remove current pos_set),
+ passive_table))
| _ ->
symbols_counter := !symbols_ratio;
- (* let set_selection set = EqualitySet.min_elt set in *)
- let set_selection l = min_elt (fun (w,_,_,_,_) -> w) l in
- if EqualitySet.is_empty neg_set then
- let current = set_selection pos_list in
- let passive =
- (neg_list, neg_set),
- (remove current pos_list, EqualitySet.remove current pos_set),
- Indexing.remove_index passive_table current
- in
- (Positive, current), passive
- else
- let current = set_selection neg_list in
- let passive =
- (remove current neg_list, EqualitySet.remove current neg_set),
- (pos_list, pos_set),
- passive_table
- in
- (Negative, current), passive
+ let current = EqualitySet.min_elt pos_set in
+ let passive_table =
+ Indexing.remove_index passive_table current
+ in
+ current,
+ ((remove current pos_list, EqualitySet.remove current pos_set),
+ passive_table)
+;;
+
+let filter_dependent passive id =
+ prerr_endline ("+++++++++++++++passives "^
+ ( string_of_int (size_of_passive passive)));
+ let (pos_list, pos_set), passive_table = passive in
+ let passive =
+ List.fold_right
+ (fun eq ((list,set),table) ->
+ if Equality.depend eq id then
+ (let _,_,_,_,id_eq = Equality.open_equality eq in
+ if id_eq = 9228 then
+ prerr_endline ("\n\n--------filtering "^(string_of_int id_eq));
+ ((list,
+ EqualitySet.remove eq set),
+ Indexing.remove_index table eq))
+ else
+ ((eq::list, set),table))
+ pos_list (([],pos_set),passive_table) in
+ prerr_endline ("+++++++++++++++passives "^
+ ( string_of_int (size_of_passive passive)));
+ passive
;;
(* initializes the passive set of equalities *)
-let make_passive neg pos =
+let make_passive pos =
let set_of equalities =
List.fold_left (fun s e -> EqualitySet.add e s) EqualitySet.empty equalities
in
let table =
List.fold_left (fun tbl e -> Indexing.index tbl e) Indexing.empty pos
in
- (neg, set_of neg),
(pos, set_of pos),
table
;;
;;
-(* adds to passive a list of equalities: new_neg is a list of negative
- equalities, new_pos a list of positive equalities *)
-let add_to_passive passive (new_neg, new_pos) =
- let (neg_list, neg_set), (pos_list, pos_set), table = passive in
+(* adds to passive a list of equalities new_pos *)
+let add_to_passive passive new_pos =
+ let (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
+ let pos = List.filter (ok pos_set) new_pos in
+ let table =
+ List.fold_left (fun tbl e -> Indexing.index tbl e) table pos
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),
table
;;
-
+(* TODO *)
(* removes from passive equalities that are estimated impossible to activate
within the current time limit *)
let prune_passive howmany (active, _) passive =
- let (nl, ns), (pl, ps), tbl = passive in
+ let (pl, ps), tbl = passive in
let howmany = float_of_int howmany
and ratio = float_of_int !weight_age_ratio in
let round v =
and in_age = round (howmany /. (ratio +. 1.)) in
debug_print
(lazy (Printf.sprintf "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 =
+ let rec pickw w 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
+ 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'
+ if !counter = 0 then counter := !symbols_ratio in
+ let e = EqualitySet.min_elt ps in
+ let ps' = pickw (w-1) (EqualitySet.remove e ps) in
+ 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'
+ let ps' = pickw (w-1) (EqualitySet.remove e ps) in
+ EqualitySet.add e ps'
else
- EqualitySet.empty, EqualitySet.empty
+ EqualitySet.empty
in
- let ns, ps = pickw in_weight ns ps in
+ let ps = pickw in_weight ps in
let rec picka w s l =
if w > 0 then
match l with
else
0, s, l
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);
EqualitySet.fold
(fun e tbl -> Indexing.index tbl e) ps Indexing.empty
in
- (nl, ns), (pl, ps), tbl
+ (pl, ps), tbl
;;
(** inference of new equalities between current and some in active *)
-let infer env sign current (active_list, active_table) =
+let infer env current (active_list, active_table) =
let (_,c,_) = env in
if Utils.debug_metas then
(ignore(Indexing.check_target c current "infer1");
- ignore(List.map (function (_,current) -> Indexing.check_target c current "infer2") active_list));
- let new_neg, new_pos =
- match sign with
- | Negative ->
- let maxm, res =
- Indexing.superposition_left !maxmeta env active_table current in
- if Utils.debug_metas then
- ignore(List.map
- (function current ->
- Indexing.check_target c current "sup-1") res);
+ ignore(List.map (function current -> Indexing.check_target c current "infer2") active_list));
+ let new_pos =
+ let maxm, copy_of_current = Equality.fix_metas !maxmeta current in
maxmeta := maxm;
- res, []
- | Positive ->
- let maxm, res =
- Indexing.superposition_right !maxmeta env active_table current in
- if Utils.debug_metas then
- ignore(List.map
- (function current ->
- Indexing.check_target c current "sup0") res);
- maxmeta := maxm;
- let rec infer_positive table = function
- | [] -> [], []
- | (Negative, equality)::tl ->
- let maxm, res =
- Indexing.superposition_left !maxmeta env table equality in
- maxmeta := maxm;
- if Utils.debug_metas then
- ignore(List.map
- (function current ->
- Indexing.check_target c current "supl") res);
- 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
+ let active_table = Indexing.index active_table copy_of_current in
+ let _ = <:start<current contro active>> in
+ let maxm, res =
+ Indexing.superposition_right !maxmeta env active_table current
+ in
+ let _ = <:stop<current contro active>> in
+ if Utils.debug_metas then
+ ignore(List.map
+ (function current ->
+ Indexing.check_target c current "sup0") res);
+ maxmeta := maxm;
+ let rec infer_positive table = function
+ | [] -> []
+ | equality::tl ->
+ let maxm, res =
+ Indexing.superposition_right ~subterms_only:true !maxmeta env table equality
+ in
maxmeta := maxm;
- if Utils.debug_metas then
- ignore
- (List.map
- (function current ->
- Indexing.check_target c current "sup2") res);
- let neg, pos = infer_positive table tl in
- neg, res @ pos
- in
- let curr_table = Indexing.index Indexing.empty current in
- let neg, pos = infer_positive curr_table active_list in
- if Utils.debug_metas then
- ignore(List.map
- (function current ->
- Indexing.check_target c current "sup3") pos);
- neg, res @ pos
+ if Utils.debug_metas then
+ ignore
+ (List.map
+ (function current ->
+ Indexing.check_target c current "sup2") res);
+ let pos = infer_positive table tl in
+ res @ pos
+ in
+(*
+ let maxm, copy_of_current = Equality.fix_metas !maxmeta current in
+ maxmeta := maxm;
+*)
+ let curr_table = Indexing.index Indexing.empty current in
+ let _ = <:start<active contro current>> in
+ let pos = infer_positive curr_table ((*copy_of_current::*)active_list) in
+ let _ = <:stop<active contro current>> in
+ if Utils.debug_metas then
+ ignore(List.map
+ (function current ->
+ Indexing.check_target c current "sup3") pos);
+ res @ pos
in
- derived_clauses := !derived_clauses + (List.length new_neg) +
- (List.length new_pos);
+ derived_clauses := !derived_clauses + (List.length new_pos);
match !maximal_retained_equality with
- | None ->
- if Utils.debug_metas then
- (ignore(List.map
- (function current ->
- Indexing.check_target c current "sup4") new_pos);
- ignore(List.map
- (function current ->
- Indexing.check_target c current "sup5") new_neg));
- new_neg, new_pos
- | Some eq ->
+ | None -> new_pos
+ | Some eq ->
ignore(assert false);
(* if we have a maximal_retained_equality, we can discard all equalities
"greater" than it, as they will never be reached... An equality is
greater than maximal_retained_equality if it is bigger
wrt. OrderedEquality.compare and it is less similar than
maximal_retained_equality to the current goal *)
- let symbols, card =
- match active_list 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 new_pos =
- match symbols with
- | None ->
- List.filter (fun e -> OrderedEquality.compare e eq <= 0) new_pos
- | Some symbols ->
- let filterfun e =
- if OrderedEquality.compare e eq <= 0 then
- true
- else
- 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 initial =
- let common, others =
- TermMap.fold foldfun (symbols_of_equality eq) (0, 0) in
- others + (abs (common - card))
- in
- let common, others =
- TermMap.fold foldfun (symbols_of_equality e) (0, 0) in
- let c = others + (abs (common - card)) in
- if c < initial then true else false
- in
- List.filter filterfun new_pos
- in
- new_neg, new_pos
+ List.filter (fun e -> OrderedEquality.compare e eq <= 0) new_pos
;;
-
-let contains_empty env (negative, positive) =
- let metasenv, context, ugraph = env in
- try
- let found =
- List.find
- (fun (w, proof, (ty, left, right, ordering), m, a) ->
- fst (CicReduction.are_convertible context left right ugraph))
- negative
- in
- true, Some found
- with Not_found ->
- false, None
+let check_for_deep_subsumption env active_table eq =
+ let _,_,(eq_ty, left, right, order),metas,id = Equality.open_equality eq in
+ let check_subsumed deep l r =
+ let eqtmp =
+ Equality.mk_tmp_equality(0,(eq_ty,l,r,Utils.Incomparable),metas)in
+ match Indexing.subsumption env active_table eqtmp with
+ | None -> false
+ | Some _ -> true
+ in
+ let rec aux b (ok_so_far, subsumption_used) t1 t2 =
+ match t1,t2 with
+ | t1, t2 when not ok_so_far -> ok_so_far, subsumption_used
+ | t1, t2 when subsumption_used -> t1 = t2, subsumption_used
+ | Cic.Appl (h1::l),Cic.Appl (h2::l') ->
+ let rc = check_subsumed b t1 t2 in
+ if rc then
+ true, true
+ else if h1 = h2 then
+ (try
+ List.fold_left2
+ (fun (ok_so_far, subsumption_used) t t' ->
+ aux true (ok_so_far, subsumption_used) t t')
+ (ok_so_far, subsumption_used) l l'
+ with Invalid_argument _ -> false,subsumption_used)
+ else
+ false, subsumption_used
+ | _ -> false, subsumption_used
+ in
+ fst (aux false (true,false) left right)
;;
+(* buttare via sign *)
(** simplifies current using active and passive *)
-let forward_simplify env (sign, current) ?passive (active_list, active_table) =
+let forward_simplify env (sign,current) ?passive (active_list, active_table) =
let _, context, _ = env in
- let pl, passive_table =
+ let passive_table =
match passive with
- | 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
+ | None -> None
+ | Some ((_, _), pt) -> Some pt
in
- let all = if pl = [] then active_list else active_list @ pl in
-
let demodulate table current =
let newmeta, newcurrent =
Indexing.demodulation_equality !maxmeta env table sign current in
maxmeta := newmeta;
- if is_identity env newcurrent then
- if sign = Negative then Some (sign, newcurrent)
- else (
-(* debug_print *)
-(* (lazy *)
-(* (Printf.sprintf "\ncurrent was: %s\nnewcurrent is: %s\n" *)
-(* (string_of_equality current) *)
-(* (string_of_equality newcurrent))); *)
-(* debug_print *)
-(* (lazy *)
-(* (Printf.sprintf "active is: %s" *)
-(* (String.concat "\n" *)
-(* (List.map (fun (_, e) -> (string_of_equality e)) active_list)))); *)
- None
- )
+ if Equality.is_identity env newcurrent then
+ None
else
- Some (sign, newcurrent)
+ Some newcurrent
in
- let res =
+ let rec demod current =
if Utils.debug_metas then
ignore (Indexing.check_target context current "demod0");
let res = demodulate active_table current in
if Utils.debug_metas then
- ignore ((function None -> () | Some (_,x) ->
- Indexing.check_target context x "demod1";()) res);
+ ignore ((function None -> () | Some x ->
+ ignore (Indexing.check_target context x "demod1");()) res);
match res with
| None -> None
- | Some (sign, newcurrent) ->
+ | Some newcurrent ->
match passive_table with
| None -> res
- | Some passive_table -> demodulate passive_table newcurrent
- in
+ | Some passive_table ->
+ match demodulate passive_table newcurrent with
+ | None -> None
+ | Some newnewcurrent ->
+ if Equality.compare newcurrent newnewcurrent <> 0 then
+ demod newnewcurrent
+ else Some newnewcurrent
+ in
+ let res = demod current 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) ->
+ | Some c ->
if Indexing.in_index active_table c then
None
else
match passive_table with
| None ->
- if fst (Indexing.subsumption env active_table c) then
- None
- else
- res
+ if check_for_deep_subsumption env active_table c then
+ None
+ else
+ res
+(*
+ if Indexing.subsumption env active_table c = None then
+ res
+ else
+ None
+*)
| Some passive_table ->
if Indexing.in_index passive_table c then None
else
- let r1, _ = Indexing.subsumption env active_table c in
- if r1 then None else
- let r2, _ = Indexing.subsumption env passive_table c in
- if r2 then None else res
+ if check_for_deep_subsumption env active_table c then
+ None
+ else
+(* if Indexing.subsumption env active_table c = None then*)
+ (match Indexing.subsumption env passive_table c with
+ | None -> res
+ | Some (_,c',_) ->
+ None
+ (*prerr_endline "\n\nPESCO DALLE PASSIVE LA PIU' GENERALE\n\n";
+ Some c'*))
+(*
+ else
+ None
+*)
;;
-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. };;
-
-
(** simplifies new using active and passive *)
-let forward_simplify_new env (new_neg, new_pos) ?passive active =
+let forward_simplify_new env new_pos ?passive active =
if Utils.debug_metas then
begin
let m,c,u = env in
- ignore(List.map
- (fun current ->
- Indexing.check_target c current "forward new neg") new_neg);
- ignore(List.map
- (fun current -> Indexing.check_target c current "forward new pos")
+ ignore(List.map
+ (fun current -> Indexing.check_target c current "forward new pos")
new_pos;)
end;
- let t1 = Unix.gettimeofday () in
-
let active_list, active_table = active in
- let pl, passive_table =
+ let passive_table =
match passive with
- | 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
+ | None -> None
+ | Some ((_, _), pt) -> Some pt
in
-
- let t2 = Unix.gettimeofday () in
- fs_time_info.build_all <- fs_time_info.build_all +. (t2 -. t1);
-
let demodulate sign table target =
let newmeta, newtarget =
Indexing.demodulation_equality !maxmeta env table sign target in
maxmeta := newmeta;
newtarget
in
- let t1 = Unix.gettimeofday () in
-
- let new_neg, new_pos =
- let new_neg = List.map (demodulate Negative active_table) new_neg
- and new_pos = List.map (demodulate Positive active_table) new_pos in
- new_neg,new_pos
-(* PROVA
- match passive_table with
- | None -> new_neg, new_pos
- | Some passive_table ->
- List.map (demodulate Negative passive_table) new_neg,
- List.map (demodulate Positive passive_table) new_pos *)
+ (* we could also demodulate using passive. Currently we don't *)
+ let new_pos =
+ List.map (demodulate Positive active_table) 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 ->
- if not (Inference.is_identity env e) then
- if EqualitySet.mem e s then s
- else EqualitySet.add e s
+ if not (Equality.is_identity env e) then
+ EqualitySet.add e s
else s)
EqualitySet.empty new_pos
in
let subs =
match passive_table with
| None ->
- (fun e -> not (fst (Indexing.subsumption env active_table e)))
+ (fun e -> (Indexing.subsumption env active_table e = None))
| Some passive_table ->
- (fun e -> not ((fst (Indexing.subsumption env active_table e)) ||
- (fst (Indexing.subsumption env passive_table e))))
+ (fun e -> ((Indexing.subsumption env active_table e = None) &&
+ (Indexing.subsumption env passive_table e = None)))
in
-(* let t1 = Unix.gettimeofday () in *)
-(* let t2 = Unix.gettimeofday () in *)
-(* fs_time_info.subsumption <- fs_time_info.subsumption +. (t2 -. t1); *)
let is_duplicate =
match passive_table with
| None ->
not ((Indexing.in_index active_table e) ||
(Indexing.in_index passive_table e)))
in
- new_neg, List.filter subs (List.filter is_duplicate new_pos)
+ List.filter subs (List.filter is_duplicate new_pos)
+;;
+
+
+(** simplifies a goal with equalities in active and passive *)
+let rec simplify_goal env goal ?passive (active_list, active_table) =
+ let passive_table =
+ match passive with
+ | None -> None
+ | Some ((_, _), pt) -> Some pt
+ in
+ let demodulate table goal = Indexing.demodulation_goal env table goal in
+ let changed, goal =
+ match passive_table with
+ | None -> demodulate active_table goal
+ | Some passive_table ->
+ let changed, goal = demodulate active_table goal in
+(* let changed', goal = demodulate passive_table goal in*)
+ (changed (*|| changed'*)), goal
+ in
+ changed,
+ if not changed then
+ goal
+ else
+ snd (simplify_goal env goal ?passive (active_list, active_table))
+;;
+
+
+let simplify_goals env goals ?passive active =
+ let a_goals, p_goals = goals in
+ let p_goals =
+ List.map
+ (fun g -> snd (simplify_goal env g ?passive active))
+ p_goals
+ in
+ let a_goals =
+ List.map
+ (fun g -> snd (simplify_goal env g ?passive active))
+ a_goals
+ in
+ a_goals, p_goals
;;
(** simplifies active usign new *)
let backward_simplify_active env new_pos new_table min_weight active =
let active_list, active_table = active in
- let active_list, newa =
+ let active_list, newa, pruned =
List.fold_right
- (fun (s, equality) (res, newn) ->
- let ew, _, _, _, _ = equality in
+ (fun equality (res, newn,pruned) ->
+ let ew, _, _, _,id = Equality.open_equality equality in
if ew < min_weight then
- (s, equality)::res, newn
+ equality::res, newn,pruned
else
- 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
+ match forward_simplify env (Utils.Positive, equality) (new_pos, new_table) with
+ | None -> res, newn, id::pruned
+ | Some e ->
+ if Equality.compare equality e = 0 then
+ e::res, newn, pruned
else
- res, (s, e)::newn)
- active_list ([], [])
+ res, e::newn, pruned)
+ active_list ([], [],[])
in
let find eq1 where =
- List.exists (fun (s, e) -> meta_convertibility_eq eq1 e) where
+ List.exists (Equality.meta_convertibility_eq eq1) where
in
- let active, newa =
+ let id_of_eq eq =
+ let _, _, _, _,id = Equality.open_equality eq in id
+ in
+ let ((active1,pruned),tbl), newa =
List.fold_right
- (fun (s, eq) (res, tbl) ->
- if List.mem (s, eq) res then
- res, tbl
- else if (is_identity env eq) || (find eq res) then (
- res, tbl
+ (fun eq ((res,pruned), tbl) ->
+ if List.mem eq res then
+ (res, (id_of_eq eq)::pruned),tbl
+ else if (Equality.is_identity env eq) || (find eq res) then (
+ (res, (id_of_eq eq)::pruned),tbl
)
else
- (s, eq)::res, if s = Negative then tbl else Indexing.index tbl eq)
- active_list ([], Indexing.empty),
+ (eq::res,pruned), Indexing.index tbl eq)
+ active_list (([],pruned), Indexing.empty),
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 ([], [])
+ (fun eq p ->
+ if (Equality.is_identity env eq) then p
+ else eq::p)
+ newa []
in
match newa with
- | [], [] -> active, None
- | _ -> active, Some newa
+ | [] -> (active1,tbl), None, pruned
+ | _ -> (active1,tbl), Some newa, pruned
;;
(** simplifies passive using new *)
let backward_simplify_passive env new_pos new_table min_weight passive =
- let (nl, ns), (pl, ps), passive_table = passive in
+ let (pl, ps), passive_table = passive in
let f sign equality (resl, ress, newn) =
- let ew, _, _, _, _ = equality in
+ let ew, _, _, _ , _ = Equality.open_equality equality in
if ew < min_weight then
equality::resl, ress, newn
else
match forward_simplify env (sign, equality) (new_pos, new_table) with
| None -> resl, EqualitySet.remove equality ress, newn
- | Some (s, e) ->
+ | Some e ->
if equality = e then
equality::resl, ress, newn
else
let ress = EqualitySet.remove equality ress in
- resl, ress, e::newn
+ resl, ress, e::newn
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 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 pl
in
- match newn, newp with
- | [], [] -> ((nl, ns), (pl, ps), passive_table), None
- | _, _ -> ((nl, ns), (pl, ps), passive_table), Some (newn, newp)
+ match newp with
+ | [] -> ((pl, ps), passive_table), None
+ | _ -> ((pl, ps), passive_table), Some (newp)
;;
+let build_table equations =
+ List.fold_left
+ (fun (l, t, w) e ->
+ let ew, _, _, _ , _ = Equality.open_equality e in
+ e::l, Indexing.index t e, min ew w)
+ ([], Indexing.empty, 1000000) equations
+;;
+
let backward_simplify env new' ?passive active =
- let new_pos, new_table, min_weight =
+ let new_pos, new_table, min_weight = build_table new' in
+(*
List.fold_left
(fun (l, t, w) e ->
- let ew, _, _, _, _ = e in
- (Positive, e)::l, Indexing.index t e, min ew w)
- ([], Indexing.empty, 1000000) (snd new')
+ let ew, _, _, _ , _ = Equality.open_equality e in
+ e::l, Indexing.index t e, min ew w)
+ ([], Indexing.empty, 1000000) new'
in
- let active, newa =
+*)
+ let active, newa, pruned =
backward_simplify_active env new_pos new_table min_weight active in
match passive with
| None ->
- active, (make_passive [] []), newa, None
+ active, (make_passive []), newa, None, pruned
| Some passive ->
- active, passive, newa, None
+ active, passive, newa, None, pruned
(* prova
let passive, newp =
backward_simplify_passive env new_pos new_table min_weight passive in
active, passive, newa, newp *)
;;
-
let close env new' given =
let new_pos, new_table, min_weight =
List.fold_left
(fun (l, t, w) e ->
- let ew, _, _, _, _ = e in
- (Positive, e)::l, Indexing.index t e, min ew w)
+ let ew, _, _, _ , _ = Equality.open_equality e in
+ e::l, Indexing.index t e, min ew w)
([], Indexing.empty, 1000000) (snd new')
in
List.fold_left
- (fun (n,p) (s,c) ->
- let neg,pos = infer env s c (new_pos,new_table) in
- neg@n,pos@p)
- ([],[]) given
+ (fun p c ->
+ let pos = infer env c (new_pos,new_table) in
+ pos@p)
+ [] given
;;
let is_commutative_law eq =
- let w, proof, (eq_ty, left, right, order), metas, args = snd eq in
+ let w, proof, (eq_ty, left, right, order), metas , _ =
+ Equality.open_equality eq
+ in
match left,right with
- Cic.Appl[f1;Cic.Meta _ as a1;Cic.Meta _ as b1],
- Cic.Appl[f2;Cic.Meta _ as a2;Cic.Meta _ as b2] ->
- f1 = f2 && a1 = b2 && a2 = b1
+ Cic.Appl[f1;Cic.Meta _ as a1;Cic.Meta _ as b1],
+ Cic.Appl[f2;Cic.Meta _ as a2;Cic.Meta _ as b2] ->
+ f1 = f2 && a1 = b2 && a2 = b1
| _ -> false
;;
(lazy
(Printf.sprintf "symmetric:\n%s\n"
(String.concat "\n"
- ((List.map
- (fun (s, e) -> (string_of_sign s) ^ " " ^
- (string_of_equality ~env e))
- (given)))))) in
+ (List.map
+ (fun e -> Equality.string_of_equality ~env e)
+ given)))) in
close env new' given
;;
active, passive
;;
+let make_goal_set goal =
+ ([],[goal])
+;;
(** initializes the set of theorems *)
let make_theorems theorems =
let activate_goal (active, passive) =
- match passive with
- | goal_conj::tl -> true, (goal_conj::active, tl)
- | [] -> false, (active, passive)
+ if active = [] then
+ match passive with
+ | goal_conj::tl -> true, (goal_conj::active, tl)
+ | [] -> false, (active, passive)
+ else
+ true, (active,passive)
;;
;;
-(** simplifies a goal with equalities in active and passive *)
-let simplify_goal env goal ?passive (active_list, active_table) =
- let pl, passive_table =
- match passive with
- | 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 demodulate table goal =
- let newmeta, newgoal =
- Indexing.demodulation_goal !maxmeta env table goal in
- maxmeta := newmeta;
- goal != newgoal, newgoal
- in
- let changed, goal =
- match passive_table with
- | None -> demodulate active_table goal
- | Some passive_table ->
- let changed, goal = demodulate active_table goal in
- let changed', goal = demodulate passive_table goal in
- (changed || changed'), goal
- in
- changed, goal
-;;
-
-
-let simplify_goals env goals ?passive active =
- let a_goals, p_goals = goals in
- let p_goals =
- List.map
- (fun (d, gl) ->
- let gl =
- List.map (fun g -> snd (simplify_goal env g ?passive active)) gl in
- d, gl)
- p_goals
- in
- let goals =
- List.fold_left
- (fun (a, p) (d, gl) ->
- let changed = ref false in
- let gl =
- List.map
- (fun g ->
- let c, g = simplify_goal env g ?passive active in
- changed := !changed || c; g) gl in
- if !changed then (a, (d, gl)::p) else ((d, gl)::a, p))
- ([], p_goals) a_goals
- in
- goals
-;;
-
let simplify_theorems env theorems ?passive (active_list, active_table) =
let pl, passive_table =
let active = others @ others_simpl in
let tbl =
List.fold_left
- (fun t (_, e) -> Indexing.index t e)
+ (fun t e -> Indexing.index t e)
Indexing.empty active
in
- let res = forward_simplify env e (active, tbl) in
+ let res = forward_simplify env (Positive,e) (active, tbl) in
match others with
| hd::tl -> (
match res with
(lazy
(Printf.sprintf "equalities:\n%s\n"
(String.concat "\n"
- (List.map string_of_equality equalities))));
+ (List.map Equality.string_of_equality equalities))));
debug_print (lazy "SIMPLYFYING EQUALITIES...");
match equalities with
| [] -> []
| hd::tl ->
- let others = List.map (fun e -> (Positive, e)) tl in
let res =
- List.rev (List.map snd (simpl env (Positive, hd) others []))
+ List.rev (simpl env hd tl [])
in
debug_print
(lazy
(Printf.sprintf "equalities AFTER:\n%s\n"
(String.concat "\n"
- (List.map string_of_equality res))));
+ (List.map Equality.string_of_equality res))));
res
;;
-(* applies equality to goal to see if the goal can be closed *)
-let apply_equality_to_goal env equality goal =
- let module C = Cic in
- let module HL = HelmLibraryObjects in
- let module I = Inference in
- let metasenv, context, ugraph = env in
- let _, proof, (ty, left, right, _), metas, args = equality in
- let eqterm =
- C.Appl [C.MutInd (LibraryObjects.eq_URI (), 0, []); ty; left; right] in
- let gproof, gmetas, gterm = goal in
-(* debug_print *)
-(* (lazy *)
-(* (Printf.sprintf "APPLY EQUALITY TO GOAL: %s, %s" *)
-(* (string_of_equality equality) (CicPp.ppterm gterm))); *)
- try
- let subst, metasenv', _ =
- let menv = metasenv @ metas @ gmetas in
- Inference.unification metas gmetas context eqterm gterm ugraph
- in
- let newproof =
- match proof with
- | I.BasicProof t -> I.BasicProof (CicMetaSubst.apply_subst subst t)
- | I.ProofBlock (s, uri, nt, t, pe, p) ->
- I.ProofBlock (subst @ s, uri, nt, t, pe, p)
- | _ -> assert false
- in
- let newgproof =
- let rec repl = function
- | I.ProofGoalBlock (_, gp) -> I.ProofGoalBlock (newproof, gp)
- | I.NoProof -> newproof
- | I.BasicProof p -> newproof
- | I.SubProof (t, i, p) -> I.SubProof (t, i, repl p)
- | _ -> assert false
- in
- repl gproof
- in
- true, subst, newgproof
- with CicUnification.UnificationFailure _ ->
- false, [], I.NoProof
-;;
-
-
-
-let new_meta metasenv =
- let m = CicMkImplicit.new_meta metasenv [] in
- incr maxmeta;
- while !maxmeta <= m do incr maxmeta done;
- !maxmeta
-;;
-
-
-(* applies a theorem or an equality to goal, returning a list of subgoals or
- an indication of failure *)
-let apply_to_goal env theorems ?passive active goal =
- let metasenv, context, ugraph = env in
- let proof, metas, term = goal in
- (* debug_print *)
- (* (lazy *)
- (* (Printf.sprintf "apply_to_goal with goal: %s" *)
- (* (\* (string_of_proof proof) *\)(CicPp.ppterm term))); *)
- let status =
- let irl =
- CicMkImplicit.identity_relocation_list_for_metavariable context in
- let proof', newmeta =
- let rec get_meta = function
- | SubProof (t, i, p) ->
- let t', i' = get_meta p in
- if i' = -1 then t, i else t', i'
- | ProofGoalBlock (_, p) -> get_meta p
- | _ -> Cic.Implicit None, -1
- in
- let p, m = get_meta proof in
- if m = -1 then
- let n = new_meta (metasenv @ metas) in
- Cic.Meta (n, irl), n
- else
- p, m
- in
- let metasenv = (newmeta, context, term)::metasenv @ metas in
- let bit = new_meta metasenv, context, term in
- let metasenv' = bit::metasenv in
- ((None, metasenv', Cic.Meta (newmeta, irl), term), newmeta)
- in
- let rec aux = function
- | [] -> `No
- | (theorem, thmty, _)::tl ->
- try
- let subst, (newproof, newgoals) =
- PrimitiveTactics.apply_tac_verbose_with_subst ~term:theorem status
- in
- if newgoals = [] then
- let _, _, p, _ = newproof in
- let newp =
- let rec repl = function
- | Inference.ProofGoalBlock (_, gp) ->
- Inference.ProofGoalBlock (Inference.BasicProof p, gp)
- | Inference.NoProof -> Inference.BasicProof p
- | Inference.BasicProof _ -> Inference.BasicProof p
- | Inference.SubProof (t, i, p2) ->
- Inference.SubProof (t, i, repl p2)
- | _ -> assert false
- in
- repl proof
- in
- let _, m = status in
- let subst = List.filter (fun (i, _) -> i = m) subst in
- `Ok (subst, [newp, metas, term])
- else
- let _, menv, p, _ = newproof in
- let irl =
- CicMkImplicit.identity_relocation_list_for_metavariable context
- in
- let goals =
- List.map
- (fun i ->
- let _, _, ty = CicUtil.lookup_meta i menv in
- let p' =
- let rec gp = function
- | SubProof (t, i, p) ->
- SubProof (t, i, gp p)
- | ProofGoalBlock (sp1, sp2) ->
- ProofGoalBlock (sp1, gp sp2)
- | BasicProof _
- | NoProof ->
- SubProof (p, i, BasicProof (Cic.Meta (i, irl)))
- | ProofSymBlock (s, sp) ->
- ProofSymBlock (s, gp sp)
- | ProofBlock (s, u, nt, t, pe, sp) ->
- ProofBlock (s, u, nt, t, pe, gp sp)
- in gp proof
- in
- (p', menv, ty))
- newgoals
- in
- let goals =
- let weight t =
- let w, m = weight_of_term t in
- w + 2 * (List.length m)
- in
- List.sort
- (fun (_, _, t1) (_, _, t2) ->
- Pervasives.compare (weight t1) (weight t2))
- goals
- in
- let best = aux tl in
- match best with
- | `Ok (_, _) -> best
- | `No -> `GoOn ([subst, goals])
- | `GoOn sl -> `GoOn ((subst, goals)::sl)
- with ProofEngineTypes.Fail msg ->
- aux tl
- in
- let r, s, l =
- if Inference.term_is_equality term then
- let rec appleq_a = function
- | [] -> false, [], []
- | (Positive, equality)::tl ->
- let ok, s, newproof = apply_equality_to_goal env equality goal in
- if ok then true, s, [newproof, metas, term] else appleq_a tl
- | _::tl -> appleq_a tl
- in
- let rec appleq_p = function
- | [] -> false, [], []
- | equality::tl ->
- let ok, s, newproof = apply_equality_to_goal env equality goal in
- if ok then true, s, [newproof, metas, term] else appleq_p tl
- in
- let al, _ = active in
- match passive with
- | None -> appleq_a al
- | Some (_, (pl, _), _) ->
- let r, s, l = appleq_a al in if r then r, s, l else appleq_p pl
- else
- false, [], []
- in
- if r = true then `Ok (s, l) else aux theorems
-;;
-
-
-(* sorts a conjunction of goals in order to detect earlier if it is
- unsatisfiable. Non-predicate goals are placed at the end of the list *)
-let sort_goal_conj (metasenv, context, ugraph) (depth, gl) =
- let gl =
- List.stable_sort
- (fun (_, e1, g1) (_, e2, g2) ->
- let ty1, _ =
- CicTypeChecker.type_of_aux' (e1 @ metasenv) context g1 ugraph
- and ty2, _ =
- CicTypeChecker.type_of_aux' (e2 @ metasenv) context g2 ugraph
- in
- let prop1 =
- let b, _ =
- CicReduction.are_convertible context (Cic.Sort Cic.Prop) ty1 ugraph
- in
- if b then 0 else 1
- and prop2 =
- let b, _ =
- CicReduction.are_convertible context (Cic.Sort Cic.Prop) ty2 ugraph
- in
- if b then 0 else 1
- in
- if prop1 = 0 && prop2 = 0 then
- let e1 = if Inference.term_is_equality g1 then 0 else 1
- and e2 = if Inference.term_is_equality g2 then 0 else 1 in
- e1 - e2
- else
- prop1 - prop2)
- gl
- in
- (depth, gl)
-;;
-
-
-let is_meta_closed goals =
- List.for_all (fun (_, _, g) -> CicUtil.is_meta_closed g) goals
-;;
-
-
-(* applies a series of theorems/equalities to a conjunction of goals *)
-let rec apply_to_goal_conj env theorems ?passive active (depth, goals) =
- let aux (goal, r) tl =
- let propagate_subst subst (proof, metas, term) =
- let rec repl = function
- | NoProof -> NoProof
- | BasicProof t ->
- BasicProof (CicMetaSubst.apply_subst subst t)
- | ProofGoalBlock (p, pb) ->
- let pb' = repl pb in
- ProofGoalBlock (p, pb')
- | SubProof (t, i, p) ->
- let t' = CicMetaSubst.apply_subst subst t in
- let p = repl p in
- SubProof (t', i, p)
- | ProofSymBlock (ens, p) -> ProofSymBlock (ens, repl p)
- | ProofBlock (s, u, nty, t, pe, p) ->
- ProofBlock (subst @ s, u, nty, t, pe, p)
- in (repl proof, metas, term)
- in
- (* let r = apply_to_goal env theorems ?passive active goal in *) (
- match r with
- | `No -> `No (depth, goals)
- | `GoOn sl ->
- let l =
- List.map
- (fun (s, gl) ->
- let tl = List.map (propagate_subst s) tl in
- sort_goal_conj env (depth+1, gl @ tl)) sl
- in
- `GoOn l
- | `Ok (subst, gl) ->
- if tl = [] then
- `Ok (depth, gl)
- else
- let p, _, _ = List.hd gl in
- let subproof =
- let rec repl = function
- | SubProof (_, _, p) -> repl p
- | ProofGoalBlock (p1, p2) ->
- ProofGoalBlock (repl p1, repl p2)
- | p -> p
- in
- build_proof_term (repl p)
- in
- let i =
- let rec get_meta = function
- | SubProof (_, i, p) ->
- let i' = get_meta p in
- if i' = -1 then i else i'
-(* max i (get_meta p) *)
- | ProofGoalBlock (_, p) -> get_meta p
- | _ -> -1
- in
- get_meta p
- in
- let subst =
- let _, (context, _, _) = List.hd subst in
- [i, (context, subproof, Cic.Implicit None)]
- in
- let tl = List.map (propagate_subst subst) tl in
- let conj = sort_goal_conj env (depth(* +1 *), tl) in
- `GoOn ([conj])
- )
- in
- if depth > !maxdepth || (List.length goals) > !maxwidth then
- `No (depth, goals)
- else
- let rec search_best res = function
- | [] -> res
- | goal::tl ->
- let r = apply_to_goal env theorems ?passive active goal in
- match r with
- | `Ok _ -> (goal, r)
- | `No -> search_best res tl
- | `GoOn l ->
- let newres =
- match res with
- | _, `Ok _ -> assert false
- | _, `No -> goal, r
- | _, `GoOn l2 ->
- if (List.length l) < (List.length l2) then goal, r else res
- in
- search_best newres tl
- in
- let hd = List.hd goals in
- let res = hd, (apply_to_goal env theorems ?passive active hd) in
- let best =
- match res with
- | _, `Ok _ -> res
- | _, _ -> search_best res (List.tl goals)
- in
- let res = aux best (List.filter (fun g -> g != (fst best)) goals) in
- match res with
- | `GoOn ([conj]) when is_meta_closed (snd conj) &&
- (List.length (snd conj)) < (List.length goals)->
- apply_to_goal_conj env theorems ?passive active conj
- | _ -> res
-;;
-
-
-(*
-module OrderedGoals = struct
- type t = int * (Inference.proof * Cic.metasenv * Cic.term) list
-
- let compare g1 g2 =
- let d1, l1 = g1
- and d2, l2 = g2 in
- let r = d2 - d1 in
- if r <> 0 then r
- else let r = (List.length l1) - (List.length l2) in
- if r <> 0 then r
- else
- let res = ref 0 in
- let _ =
- List.exists2
- (fun (_, _, t1) (_, _, t2) ->
- let r = Pervasives.compare t1 t2 in
- if r <> 0 then (
- res := r;
- true
- ) else
- false) l1 l2
- in !res
-end
-
-module GoalsSet = Set.Make(OrderedGoals);;
-
-
-exception SearchSpaceOver;;
-*)
-
-
-(*
-let apply_to_goals env is_passive_empty theorems active goals =
- debug_print (lazy "\n\n\tapply_to_goals\n\n");
- let add_to set goals =
- List.fold_left (fun s g -> GoalsSet.add g s) set goals
- in
- let rec aux set = function
- | [] ->
- debug_print (lazy "HERE!!!");
- if is_passive_empty then raise SearchSpaceOver else false, set
- | goals::tl ->
- let res = apply_to_goal_conj env theorems active goals in
- match res with
- | `Ok newgoals ->
- let _ =
- let d, p, t =
- match newgoals with
- | (d, (p, _, t)::_) -> d, p, t
- | _ -> assert false
- in
- debug_print
- (lazy
- (Printf.sprintf "\nOK!!!!\ndepth: %d\nProof: %s\ngoal: %s\n"
- d (string_of_proof p) (CicPp.ppterm t)))
- in
- true, GoalsSet.singleton newgoals
- | `GoOn newgoals ->
- let set' = add_to set (goals::tl) in
- let set' = add_to set' newgoals in
- false, set'
- | `No newgoals ->
- aux set tl
- in
- let n = List.length goals in
- let res, goals = aux (add_to GoalsSet.empty goals) goals in
- let goals = GoalsSet.elements goals in
- debug_print (lazy "\n\tapply_to_goals end\n");
- let m = List.length goals in
- if m = n && is_passive_empty then
- raise SearchSpaceOver
- else
- res, goals
-;;
-*)
-
-
-(* sorts the list of passive goals to minimize the search for a proof (doesn't
- work that well yet...) *)
-let sort_passive_goals goals =
- List.stable_sort
- (fun (d1, l1) (d2, l2) ->
- let r1 = d2 - d1
- and r2 = (List.length l1) - (List.length l2) in
- let foldfun ht (_, _, t) =
- let _ = List.map (fun i -> Hashtbl.replace ht i 1) (metas_of_term t)
- in ht
- in
- let m1 = Hashtbl.length (List.fold_left foldfun (Hashtbl.create 3) l1)
- and m2 = Hashtbl.length (List.fold_left foldfun (Hashtbl.create 3) l2)
- in let r3 = m1 - m2 in
- if r3 <> 0 then r3
- else if r2 <> 0 then r2
- else r1)
- (* let _, _, g1 = List.hd l1 *)
-(* and _, _, g2 = List.hd l2 in *)
-(* let e1 = if Inference.term_is_equality g1 then 0 else 1 *)
-(* and e2 = if Inference.term_is_equality g2 then 0 else 1 *)
-(* in let r4 = e1 - e2 in *)
-(* if r4 <> 0 then r3 else r1) *)
- goals
-;;
-
-
let print_goals goals =
(String.concat "\n"
(List.map
in
Printf.sprintf "%d: %s" d (String.concat "; " gl')) goals))
;;
-
-
-(* tries to prove the first conjunction in goals with applications of
- theorems/equalities, returning new sub-goals or an indication of success *)
-let apply_goal_to_theorems dbd env theorems ?passive active goals =
- let theorems, _ = theorems in
- let a_goals, p_goals = goals in
- let goal = List.hd a_goals in
- let not_in_active gl =
- not
- (List.exists
- (fun (_, gl') ->
- if (List.length gl) = (List.length gl') then
- List.for_all2 (fun (_, _, g1) (_, _, g2) -> g1 = g2) gl gl'
- else
- false)
- a_goals)
- in
- let aux theorems =
- let res = apply_to_goal_conj env theorems ?passive active goal in
- match res with
- | `Ok newgoals ->
- true, ([newgoals], [])
- | `No _ ->
- false, (a_goals, p_goals)
- | `GoOn newgoals ->
- let newgoals =
- List.filter
- (fun (d, gl) ->
- (d <= !maxdepth) && (List.length gl) <= !maxwidth &&
- not_in_active gl)
- newgoals in
- let p_goals = newgoals @ p_goals in
- let p_goals = sort_passive_goals p_goals in
- false, (a_goals, p_goals)
- in
- aux theorems
-;;
-
-
-let apply_theorem_to_goals env theorems active goals =
- let a_goals, p_goals = goals in
- let theorem = List.hd (fst theorems) in
- let theorems = [theorem] in
- let rec aux p = function
- | [] -> false, ([], p)
- | goal::tl ->
- let res = apply_to_goal_conj env theorems active goal in
- match res with
- | `Ok newgoals -> true, ([newgoals], [])
- | `No _ -> aux p tl
- | `GoOn newgoals -> aux (newgoals @ p) tl
- in
- let ok, (a, p) = aux p_goals a_goals in
- if ok then
- ok, (a, p)
- else
- let p_goals =
- List.stable_sort
- (fun (d1, l1) (d2, l2) ->
- let r = d2 - d1 in
- if r <> 0 then r
- else let r = (List.length l1) - (List.length l2) in
- if r <> 0 then r
- else
- let res = ref 0 in
- let _ =
- List.exists2
- (fun (_, _, t1) (_, _, t2) ->
- let r = Pervasives.compare t1 t2 in
- if r <> 0 then (res := r; true) else false) l1 l2
- in !res)
- p
- in
- ok, (a_goals, p_goals)
-;;
-
-
-(* given-clause algorithm with lazy reduction strategy *)
-let rec given_clause dbd env goals theorems passive active =
- let _,context,_ = env in
- let goals = simplify_goals env goals active in
- let ok, goals = activate_goal goals in
- (* let theorems = simplify_theorems env theorems active in *)
- if ok then
- let ok, goals = apply_goal_to_theorems dbd env theorems active goals in
- if ok then
- let proof =
- match (fst goals) with
- | (_, [proof, _, _])::_ -> Some proof
- | _ -> assert false
+
+let check_if_goal_is_subsumed ((_,ctx,_) as env) table (goalproof,menv,ty) =
+(*
+ let names = names_of_context ctx in
+ Printf.eprintf "check_goal_subsumed: %s\n" (CicPp.pp ty names);
+*)
+ match ty with
+ | Cic.Appl[Cic.MutInd(uri,_,_);eq_ty;left;right]
+ when UriManager.eq uri (Utils.eq_URI ()) ->
+ (let goal_equation =
+ Equality.mk_equality
+ (0,Equality.Exact (Cic.Implicit None),(eq_ty,left,right,Eq),menv)
in
- ParamodulationSuccess (proof, env)
- else
- given_clause_aux dbd env goals theorems passive active
- else
-(* let ok', theorems = activate_theorem theorems in *)
- let ok', theorems = false, theorems in
- if ok' then
- let ok, goals = apply_theorem_to_goals env theorems active goals in
- if ok then
- let proof =
- match (fst goals) with
- | (_, [proof, _, _])::_ -> Some proof
- | _ -> assert false
- in
- ParamodulationSuccess (proof, env)
- else
- given_clause_aux dbd env goals theorems passive active
- else
- if (passive_is_empty passive) then ParamodulationFailure
- else given_clause_aux dbd env goals theorems passive active
-
-and given_clause_aux dbd env goals theorems passive active =
- let _,context,_ = env in
- let time1 = Unix.gettimeofday () in
-
- 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 (
- debug_print (lazy (Printf.sprintf "Time limit (%.2f) reached: %.2f\n"
- !time_limit !elapsed_time));
- make_passive [] []
- ) else if kept > selection_estimate then (
- debug_print
- (lazy (Printf.sprintf ("Too many passive equalities: pruning..." ^^
- "(kept: %d, selection_estimate: %d)\n")
- kept selection_estimate));
- prune_passive selection_estimate active passive
- ) else
- passive
- in
-
- let time2 = Unix.gettimeofday () in
- passive_maintainance_time := !passive_maintainance_time +. (time2 -. time1);
-
- kept_clauses := (size_of_passive passive) + (size_of_active active);
- match passive_is_empty passive with
- | true -> (* ParamodulationFailure *)
- given_clause dbd env goals theorems passive active
- | false ->
- let (sign, current), passive = select env (fst goals) passive active in
- let names = List.map (HExtlib.map_option (fun (name,_) -> name)) context in
- prerr_endline ("Selected = " ^
- (CicPp.pp (Inference.term_of_equality current) names));
- let time1 = Unix.gettimeofday () in
- let res = forward_simplify env (sign, current) ~passive active in
- let time2 = Unix.gettimeofday () in
- forward_simpl_time := !forward_simpl_time +. (time2 -. time1);
- match res with
- | None ->
- given_clause dbd env goals theorems passive active
- | Some (sign, current) ->
- if (sign = Negative) && (is_identity env current) then (
- debug_print
- (lazy (Printf.sprintf "OK!!! %s %s" (string_of_sign sign)
- (string_of_equality ~env current)));
- let _, proof, _, _, _ = current in
- ParamodulationSuccess (Some proof, env)
- ) else (
- debug_print
- (lazy "\n================================================");
- debug_print (lazy (Printf.sprintf "selected: %s %s"
- (string_of_sign sign)
- (string_of_equality ~env current)));
-
- 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 res, goal' = contains_empty env new' in
- if res then
- let proof =
- match goal' with
- | Some goal -> let _, proof, _, _, _ = goal in Some proof
- | None -> None
- in
- ParamodulationSuccess (proof, env)
- else
- let t1 = Unix.gettimeofday () in
- let new' = forward_simplify_new env new' active in
- let t2 = Unix.gettimeofday () in
- let _ =
- forward_simpl_new_time :=
- !forward_simpl_new_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
- 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
- let passive = add_to_passive passive new' in
- given_clause dbd env goals theorems passive active
- | true, goal ->
- let proof =
- match goal with
- | Some goal ->
- let _, proof, _, _, _ = goal in Some proof
- | None -> None
- in
- ParamodulationSuccess (proof, env)
- )
+(* match Indexing.subsumption env table goal_equation with*)
+ match Indexing.unification env table goal_equation with
+ | Some (subst, equality, swapped ) ->
+ prerr_endline
+ ("GOAL SUBSUMED BY: " ^ Equality.string_of_equality equality);
+ prerr_endline ("SUBST:" ^ Subst.ppsubst subst);
+ let (_,p,(ty,l,r,_),m,id) = Equality.open_equality equality in
+ let cicmenv = Subst.apply_subst_metasenv subst (m @ menv) in
+ let p =
+ if swapped then
+ Equality.symmetric eq_ty l id uri m
+ else
+ p
+ in
+ Some (goalproof, p, id, subst, cicmenv)
+ | None -> None)
+ | _ -> None
;;
+let counter = ref 0
(** given-clause algorithm with full reduction strategy *)
-let rec given_clause_fullred dbd env goals theorems passive active =
+let rec given_clause_fullred dbd env goals theorems ~passive active =
let goals = simplify_goals env goals ~passive active in
let _,context,_ = env in
- let ok, goals = activate_goal goals in
+ let ok, (goals:
+ (Equality.goal_proof * Cic.metasenv * Cic.term) list *
+ (Equality.goal_proof * Cic.metasenv * Cic.term) list) = activate_goal
+
+ (goals:
+ (Equality.goal_proof * Cic.metasenv * Cic.term) list *
+ (Equality.goal_proof * Cic.metasenv * Cic.term) list)
+ in
(* let theorems = simplify_theorems env theorems ~passive active in *)
if ok then
let names = List.map (HExtlib.map_option (fun (name,_) -> name)) context in
- let _, _, t = List.hd (snd (List.hd (fst goals))) in
+ let _, _, t = List.hd (fst goals) in
let _ = prerr_endline ("goal activated = " ^ (CicPp.pp t names)) in
(* let _ = *)
(* debug_print *)
(* (Printf.sprintf "goal activated:\n%s\n%s\n" *)
(* (CicPp.ppterm t) (string_of_proof p))); *)
(* in *)
- let ok, goals =
- apply_goal_to_theorems dbd env theorems ~passive active goals
- in
+ let ok, proof =
+ (* apply_goal_to_theorems dbd env theorems ~passive active goals in *)
+ let iseq uri = UriManager.eq uri (Utils.eq_URI ()) in
+ match fst goals with
+ | (goalproof,m,Cic.Appl[Cic.MutInd(uri,_,ens);eq_ty;left;right])::_
+ when left = right && iseq uri ->
+ let reflproof = Equality.Exact (Equality.refl_proof eq_ty left) in
+ true, Some (goalproof, reflproof, 0, Subst.empty_subst,m)
+ | goal::_ ->
+ (match check_if_goal_is_subsumed env (snd active) goal with
+ | None -> false,None
+ | Some p ->
+ prerr_endline "Proof found by subsumption!";
+ true, Some p)
+ | _ -> false, None
+ in
if ok then
- let proof =
- match (fst goals) with
- | (_, [proof, _, _])::_ -> Some proof
- | _ -> assert false
- in
( prerr_endline "esco qui";
- let s = Printf.sprintf "actives:\n%s\n"
- (String.concat "\n"
+ (*
+ let s = Printf.sprintf "actives:\n%s\n"
+ (String.concat "\n"
((List.map
- (fun (s, e) -> (string_of_sign s) ^ " " ^
+ (fun (s, e) -> (string_of_sign s) ^ " " ^
(string_of_equality ~env e))
- (fst active)))) in
- let sp = Printf.sprintf "passives:\n%s\n"
- (String.concat "\n"
+ (fst active)))) in
+ let sp = Printf.sprintf "passives:\n%s\n"
+ (String.concat "\n"
(List.map
- (string_of_equality ~env)
- (let x,y,_ = passive in (fst x)@(fst y)))) in
- prerr_endline s;
- prerr_endline sp;
- ParamodulationSuccess (proof, env))
+ (string_of_equality ~env)
+ (let x,y,_ = passive in (fst x)@(fst y)))) in
+ prerr_endline s;
+ prerr_endline sp; *)
+ match proof with
+ | None -> assert false
+ | Some p -> ParamodulationSuccess p)
else
given_clause_fullred_aux dbd env goals theorems passive active
else
(* else *)
(* given_clause_fullred_aux env goals theorems passive active *)
(* else *)
- if (passive_is_empty passive) then ParamodulationFailure
+ if (passive_is_empty passive) then ParamodulationFailure ""
else given_clause_fullred_aux dbd env goals theorems passive active
and given_clause_fullred_aux dbd env goals theorems passive active =
- prerr_endline ("MAXMETA: " ^ string_of_int !maxmeta ^
- " LOCALMAX: " ^ string_of_int !Indexing.local_max ^
- " #ACTIVES: " ^ string_of_int (size_of_active active) ^
+ prerr_endline (string_of_int !counter ^
+ " MAXMETA: " ^ string_of_int !maxmeta ^
+ " #ACTIVES: " ^ string_of_int (size_of_active active) ^
" #PASSIVES: " ^ string_of_int (size_of_passive passive));
- if (size_of_active active) mod 54 = 0 then
+ incr counter;
+(*
+ if !counter mod 10 = 0 then
+ begin
+ let size = HExtlib.estimate_size (passive,active) in
+ let sizep = HExtlib.estimate_size (passive) in
+ let sizea = HExtlib.estimate_size (active) in
+ let (l1,s1),(l2,s2), t = passive in
+ let sizetbl = HExtlib.estimate_size t in
+ let sizel = HExtlib.estimate_size (l1,l2) in
+ let sizes = HExtlib.estimate_size (s1,s2) in
+
+ prerr_endline ("SIZE: " ^ string_of_int size);
+ prerr_endline ("SIZE P: " ^ string_of_int sizep);
+ prerr_endline ("SIZE A: " ^ string_of_int sizea);
+ prerr_endline ("SIZE TBL: " ^ string_of_int sizetbl ^
+ " SIZE L: " ^ string_of_int sizel ^
+ " SIZE S:" ^ string_of_int sizes);
+ end;*)
+(*
+ if (size_of_active active) mod 50 = 0 then
(let s = Printf.sprintf "actives:\n%s\n"
(String.concat "\n"
((List.map
(string_of_equality ~env)
(let x,y,_ = passive in (fst x)@(fst y)))) in
prerr_endline s;
- prerr_endline sp);
+ prerr_endline sp); *)
let time1 = Unix.gettimeofday () in
let (_,context,_) = env in
let selection_estimate = get_selection_estimate () in
else if !elapsed_time > !time_limit then (
debug_print (lazy (Printf.sprintf "Time limit (%.2f) reached: %.2f\n"
!time_limit !elapsed_time));
- make_passive [] []
+ make_passive []
) else if kept > selection_estimate then (
debug_print
(lazy (Printf.sprintf ("Too many passive equalities: pruning..." ^^
kept_clauses := (size_of_passive passive) + (size_of_active active);
match passive_is_empty passive with
- | true -> (* ParamodulationFailure *)
- given_clause_fullred dbd env goals theorems passive active
+ | true -> ParamodulationFailure ""
+ (* given_clause_fullred dbd env goals theorems passive active *)
| false ->
- let (sign, current), passive = select env (fst goals) passive active in
- let names = List.map (HExtlib.map_option (fun (name,_) -> name)) context in
- prerr_endline ("Selected = " ^ (string_of_sign sign) ^ " " ^
- string_of_equality ~env current);
- (* (CicPp.pp (Inference.term_of_equality current) names));*)
+ let current, passive = select env goals passive in
+ prerr_endline
+ ("Selected = " ^ Equality.string_of_equality ~env current);
+(* ^
+ (let w,p,(t,l,r,o),m = current in
+ " size w: " ^ string_of_int (HExtlib.estimate_size w)^
+ " size p: " ^ string_of_int (HExtlib.estimate_size p)^
+ " size t: " ^ string_of_int (HExtlib.estimate_size t)^
+ " size l: " ^ string_of_int (HExtlib.estimate_size l)^
+ " size r: " ^ string_of_int (HExtlib.estimate_size r)^
+ " size o: " ^ string_of_int (HExtlib.estimate_size o)^
+ " size m: " ^ string_of_int (HExtlib.estimate_size m)^
+ " size m-c: " ^ string_of_int
+ (HExtlib.estimate_size (List.map (fun (x,_,_) -> x) m)))) *)
let time1 = Unix.gettimeofday () in
- let res = forward_simplify env (sign, current) ~passive active in
+ let res = forward_simplify env (Positive, current) ~passive active in
let time2 = Unix.gettimeofday () in
forward_simpl_time := !forward_simpl_time +. (time2 -. time1);
match res with
| None ->
+ (* weight_age_counter := !weight_age_counter + 1; *)
given_clause_fullred dbd env goals theorems passive active
- | Some (sign, current) ->
- if (sign = Negative) && (is_identity env current) then (
- debug_print
- (lazy (Printf.sprintf "OK!!! %s %s" (string_of_sign sign)
- (string_of_equality ~env current)));
- let _, proof, _, _, _ = current in
- ParamodulationSuccess (Some proof, env)
- ) else (
+ | Some current ->
+(* prerr_endline (Printf.sprintf "selected simpl: %s"
+ (Equality.string_of_equality ~env current));*)
+ let t1 = Unix.gettimeofday () in
+ let new' = infer env current active in
+ let _ =
debug_print
- (lazy "\n================================================");
- debug_print (lazy (Printf.sprintf "selected: %s %s"
- (string_of_sign sign)
- (string_of_equality ~env current)));
-
- let t1 = Unix.gettimeofday () in
- let new' = infer env sign current active in
- let _ =
- match new' with
- | neg, pos ->
- debug_print
- (lazy
- (Printf.sprintf "new' (senza semplificare):\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)))))
- in
- let t2 = Unix.gettimeofday () in
+ (lazy
+ (Printf.sprintf "new' (senza semplificare):\n%s\n"
+ (String.concat "\n"
+ (List.map
+ (fun e -> "Positive " ^
+ (Equality.string_of_equality ~env e)) new'))))
+ in
+ let t2 = Unix.gettimeofday () in
infer_time := !infer_time +. (t2 -. t1);
let active =
- if is_identity env current then active
+ if Equality.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
+ al @ [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 new' = forward_simplify_new env new'~passive active in
let t2 = Unix.gettimeofday () in
forward_simpl_new_time :=
!forward_simpl_new_time +. (t2 -. t1);
let t1 = Unix.gettimeofday () in
- let active, passive, newa, retained =
- backward_simplify env new' ~passive active in
+ let active, passive, newa, retained, pruned =
+ backward_simplify env new' ~passive active in
+ let passive =
+ List.fold_left filter_dependent passive pruned 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
- if Utils.debug_metas then
- ignore (
- List.map (fun x -> Indexing.check_target context x "simplify1")n;
- List.map (fun x -> Indexing.check_target context x "simplify2")p);
- 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
+ | Some p, None
+ | None, Some p ->
+ if Utils.debug_metas then
+ begin
+ List.iter
+ (fun x->Indexing.check_target context x "simplify1")
+ p;
+ end;
+ simplify (new' @ p) active passive
+ | Some p, Some rp ->
+ simplify (new' @ p @ rp) active passive
in
let active, passive, new' = simplify new' active passive in
+ let goals =
+ let a,b,_ = build_table new' in
+ simplify_goals env goals ~passive (a,b)
+ in
+
(* pessima prova
- let new1 = prova env new' active in
+ let new1 = prova env new' active in
let new' = (fst new') @ (fst new1), (snd new') @ (snd new1) in
let _ =
match new1 with
(Printf.sprintf "active:\n%s\n"
(String.concat "\n"
((List.map
- (fun (s, e) -> (string_of_sign s) ^ " " ^
- (string_of_equality ~env e))
+ (fun e -> (Equality.string_of_equality ~env e))
(fst active))))))
in
let _ =
- match new' with
- | neg, pos ->
- debug_print
- (lazy
- (Printf.sprintf "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)))))
+ debug_print
+ (lazy
+ (Printf.sprintf "new':\n%s\n"
+ (String.concat "\n"
+ ((List.map
+ (fun e -> "Negative " ^
+ (Equality.string_of_equality ~env e)) new')))))
in
- match contains_empty env new' with
- | false, _ ->
- let passive = add_to_passive passive new' in
- given_clause_fullred dbd env goals theorems passive active
- | true, goal ->
- let proof =
- match goal with
- | Some goal -> let _, proof, _, _, _ = goal in Some proof
- | None -> None
- in
- ParamodulationSuccess (proof, env)
- )
+ let passive = add_to_passive passive new' in
+ given_clause_fullred dbd env goals theorems passive active
+;;
+
+(*
+let profiler0 = HExtlib.profile "P/Saturation.given_clause_fullred"
+
+let given_clause_fullred dbd env goals theorems passive active =
+ profiler0.HExtlib.profile
+ (given_clause_fullred dbd env goals theorems passive) active
+*)
+
+let iseq uri = UriManager.eq uri (Utils.eq_URI ());;
+
+let check_if_goal_is_identity env = function
+ | (goalproof,m,Cic.Appl[Cic.MutInd(uri,_,ens);eq_ty;left;right])
+ when left = right && iseq uri ->
+ let reflproof = Equality.Exact (Equality.refl_proof eq_ty left) in
+ Some (goalproof, reflproof, 0, Subst.empty_subst,m)
+ | (goalproof,m,Cic.Appl[Cic.MutInd(uri,_,ens);eq_ty;left;right])
+ when iseq uri ->
+ (let _,context,_ = env in
+ try
+ let s,m,_ =
+ Inference.unification m m context left right CicUniv.empty_ugraph
+ in
+ let reflproof = Equality.Exact (Equality.refl_proof eq_ty left) in
+ let m = Subst.apply_subst_metasenv s m in
+ Some (goalproof, reflproof, 0, s,m)
+ with _ -> None)
+ | _ -> None
+;;
+
+let rec check goal = function
+ | [] -> None
+ | f::tl ->
+ match f goal with
+ | None -> check goal tl
+ | (Some p) as ok -> ok
+;;
+
+let simplify_goal_set env goals passive active =
+ let active_goals, passive_goals = goals in
+ let find (_,_,g) where =
+ List.exists (fun (_,_,g1) -> Equality.meta_convertibility g g1) where
+ in
+ let simplified =
+ List.fold_left
+ (fun acc goal ->
+ match simplify_goal env goal ~passive active with
+ | _, g -> if find g acc then acc else g::acc)
+ (* active_goals active_goals *)
+ [] active_goals
+ in
+ if List.length active_goals <> List.length simplified then
+ prerr_endline "SEMPLIFICANDO HO SCARTATO...";
+ (simplified,passive_goals)
+ (*
+ HExtlib.list_uniq ~eq:(fun (_,_,t1) (_,_,t2) -> t1 = t2)
+ (List.sort (fun (_,_,t1) (_,_,t2) -> compare t1 t1)
+ ((*goals @*) simplified))
+ *)
+;;
+
+let check_if_goals_set_is_solved env active goals =
+ let active_goals, passive_goals = goals in
+ List.fold_left
+ (fun proof goal ->
+ match proof with
+ | Some p -> proof
+ | None ->
+ check goal [
+ check_if_goal_is_identity env;
+ check_if_goal_is_subsumed env (snd active)])
+ None active_goals
;;
+let infer_goal_set env active goals =
+ let active_goals, passive_goals = goals in
+ let rec aux = function
+ | [] -> goals
+ | ((_,_,t1) as hd)::tl when
+ not (List.exists
+ (fun (_,_,t) -> Equality.meta_convertibility t t1)
+ active_goals)
+ ->
+ let selected = hd in
+ let passive_goals = tl in
+ let new' = Indexing.superposition_left env (snd active) selected in
+ selected::active_goals, passive_goals @ new'
+ | _::tl -> aux tl
+ in
+ aux passive_goals
+;;
+
+let infer_goal_set_with_current env current goals =
+ let active_goals, passive_goals = goals in
+ let _,table,_ = build_table [current] in
+ let _,_,_,_,id = Equality.open_equality current in
+ active_goals,
+ List.fold_left
+ (fun acc g ->
+ let new' = Indexing.superposition_left env table g in
+ if id = 2 then
+ begin
+ prerr_endline "XXXXXXX";
+ List.iter (fun _,_,e -> prerr_endline (CicPp.ppterm e)) new' ;
+ end;
+ acc @ new')
+ passive_goals active_goals
+;;
+
+
+
+let size_of_goal_set_a (l,_) = List.length l;;
+let size_of_goal_set_p (_,l) = List.length l;;
+
+(** given-clause algorithm with full reduction strategy: NEW implementation *)
+(* here goals is a set of goals in OR *)
+let given_clause
+ ((_,context,_) as env) goals theorems passive active max_iterations max_time
+=
+ let names = names_of_context context in
+ let initial_time = Unix.gettimeofday () in
+ let iterations_left iterno =
+ let now = Unix.gettimeofday () in
+ let time_left = max_time -. now in
+ let time_spent_until_now = now -. initial_time in
+ let iteration_medium_cost =
+ time_spent_until_now /. (float_of_int iterno)
+ in
+ let iterations_left = time_left /. iteration_medium_cost in
+ int_of_float iterations_left
+ in
+ let rec step goals theorems passive active iterno =
+ if iterno > max_iterations then
+ (ParamodulationFailure "No more iterations to spend")
+ else if Unix.gettimeofday () > max_time then
+ (ParamodulationFailure "No more time to spend")
+ else
+ let _ = prerr_endline "simpl goal with active" in
+ let _ = <:start<simplify goal set active>> in
+ let goals = simplify_goal_set env goals passive active in
+ let _ = <:stop<simplify goal set active>> in
+ match check_if_goals_set_is_solved env active goals with
+ | Some p ->
+ prerr_endline
+ (Printf.sprintf "Found a proof in: %f\n"
+ (Unix.gettimeofday() -. initial_time));
+(* assert false;*)
+ ParamodulationSuccess p
+ | None ->
+ prerr_endline
+ (Printf.sprintf "%d #ACTIVES: %d #PASSIVES: %d #GOALSET: %d(%d)\n"
+ iterno (size_of_active active) (size_of_passive passive)
+ (size_of_goal_set_a goals) (size_of_goal_set_p goals));
+ (* PRUNING OF PASSIVE THAT WILL NEVER BE PROCESSED *)
+ let passive =
+ let selection_estimate = iterations_left iterno in
+ let kept = size_of_passive passive in
+ if kept > selection_estimate then
+ begin
+ (*Printf.eprintf "Too many passive equalities: pruning...";
+ prune_passive selection_estimate active*) passive
+ end
+ else
+ passive
+ in
+ kept_clauses := (size_of_passive passive) + (size_of_active active);
+ (* SELECTION *)
+ if passive_is_empty passive then
+ ParamodulationFailure "No more passive"(*maybe this is a success! *)
+ else
+ begin
+ let goals = infer_goal_set env active goals in
+ let goals = infer_goal_set env active goals in
+ let goals = infer_goal_set env active goals in
+ let current, passive = select env goals passive in
+ let _,_,goaltype = List.hd (fst goals) in
+ prerr_endline (Printf.sprintf "Current goal = %s\n"
+ (CicPp.pp goaltype names));
+ prerr_endline (Printf.sprintf "Selected = %s\n"
+ (Equality.string_of_equality ~env current));
+ (* SIMPLIFICATION OF CURRENT *)
+ let res =
+ forward_simplify env (Positive, current) (*~passive*) active
+ in
+ match res with
+ | None -> step goals theorems passive active (iterno+1)
+ | Some current ->
+ (* GENERATION OF NEW EQUATIONS *)
+ prerr_endline "infer";
+ let new' = infer env current active in
+ prerr_endline "infer goal";
+ let goals = infer_goal_set_with_current env current goals in
+ let active =
+ let al, tbl = active in
+ al @ [current], Indexing.index tbl current
+ in
+ (* FORWARD AND BACKWARD SIMPLIFICATION *)
+ prerr_endline "fwd/back simpl";
+ let rec simplify new' active passive =
+ let new' = forward_simplify_new env new' ~passive active in
+ let active, passive, newa, retained, pruned =
+ backward_simplify env new' ~passive active
+ in
+ let passive =
+ List.fold_left filter_dependent passive pruned
+ in
+ match newa, retained with
+ | None, None -> active, passive, new'
+ | Some p, None
+ | None, Some p -> simplify (new' @ p) active passive
+ | Some p, Some rp -> simplify (new' @ p @ rp) active passive
+ in
+ let active, passive, new' = simplify new' active passive in
+ if iterno = 36 || iterno = 654 then
+ begin
+ prerr_endline "...................";
+ List.iter
+ (fun x -> prerr_endline (Equality.string_of_equality
+~env:env x)) new';
+ prerr_endline "FINE...................";
+ end;
+ prerr_endline "simpl goal with new";
+ let goals =
+ let a,b,_ = build_table new' in
+ let _ = <:start<simplify_goal_set new>> in
+ <:stop<simplify_goal_set new
+ simplify_goal_set env goals passive (a,b)
+ >>
+ in
+ let passive = add_to_passive passive new' in
+ step goals theorems passive active (iterno+1)
+ end
+ in
+ step goals theorems passive active 1
+;;
let rec saturate_equations env goal accept_fun passive active =
elapsed_time := Unix.gettimeofday () -. !start_time;
if !elapsed_time > !time_limit then
(active, passive)
else
- let (sign, current), passive = select env [1, [goal]] passive active in
- let res = forward_simplify env (sign, current) ~passive active in
+ let current, passive = select env ([goal],[]) passive in
+ let res = forward_simplify env (Positive, current) ~passive active in
match res with
| None ->
saturate_equations env goal accept_fun passive active
- | Some (sign, current) ->
- assert (sign = Positive);
- debug_print
- (lazy "\n================================================");
- debug_print (lazy (Printf.sprintf "selected: %s %s"
- (string_of_sign sign)
- (string_of_equality ~env current)));
- let new' = infer env sign current active in
+ | Some current ->
+ debug_print (lazy (Printf.sprintf "selected: %s"
+ (Equality.string_of_equality ~env current)));
+ let new' = infer env current active in
let active =
- if is_identity env current then active
+ if Equality.is_identity env current then active
else
let al, tbl = active in
- al @ [(sign, current)], Indexing.index tbl current
+ al @ [current], Indexing.index tbl current
in
let rec simplify new' active passive =
let new' = forward_simplify_new env new' ~passive active in
- let active, passive, newa, retained =
+ let active, passive, newa, retained, pruned =
backward_simplify env new' ~passive active in
+ let passive =
+ List.fold_left filter_dependent passive pruned in
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
+ | Some p, None
+ | None, Some p -> simplify (new' @ p) active passive
+ | Some p, Some rp -> simplify (new' @ p @ rp) active passive
in
let active, passive, new' = simplify new' active passive in
let _ =
(lazy
(Printf.sprintf "active:\n%s\n"
(String.concat "\n"
- ((List.map
- (fun (s, e) -> (string_of_sign s) ^ " " ^
- (string_of_equality ~env e))
- (fst active))))))
+ (List.map
+ (fun e -> Equality.string_of_equality ~env e)
+ (fst active)))))
in
let _ =
- match new' with
- | neg, pos ->
- debug_print
- (lazy
- (Printf.sprintf "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)))))
+ debug_print
+ (lazy
+ (Printf.sprintf "new':\n%s\n"
+ (String.concat "\n"
+ (List.map
+ (fun e -> "Negative " ^
+ (Equality.string_of_equality ~env e)) new'))))
in
- let new' = match new' with _, pos -> [], List.filter accept_fun pos in
+ let new' = List.filter accept_fun new' in
let passive = add_to_passive passive new' in
saturate_equations env goal accept_fun passive active
;;
-
-
-
+let main dbd full term metasenv ugraph = ()
+(*
let main dbd full term metasenv ugraph =
let module C = Cic in
let module T = CicTypeChecker in
(fst theorems)))))
in
(*try*)
- let goal = Inference.BasicProof new_meta_goal, [], goal in
+ let goal =
+ ([],Equality.BasicProof (Equality.empty_subst ,new_meta_goal)), [], goal
+ in
let equalities = simplify_equalities env
(equalities@library_equalities) in
let active = make_active () in
- let passive = make_passive [] equalities in
+ let passive = make_passive equalities in
Printf.printf "\ncurrent goal: %s\n"
(let _, _, g = goal in CicPp.ppterm g);
Printf.printf "\ncontext:\n%s\n" (PP.ppcontext context);
Printf.printf "\nequalities:\n%s\n"
(String.concat "\n"
(List.map
- (string_of_equality ~env) equalities));
+ (Equality.string_of_equality ~env) equalities));
(* (equalities @ library_equalities))); *)
print_endline "--------------------------------------------------";
let start = Unix.gettimeofday () in
start_time := Unix.gettimeofday ();
let res =
let goals = make_goals goal in
- (if !use_fullred then given_clause_fullred else given_clause)
+ (if !use_fullred then given_clause_fullred else given_clause_fullred)
dbd env goals theorems passive active
in
let finish = Unix.gettimeofday () in
match res with
| ParamodulationFailure ->
Printf.printf "NO proof found! :-(\n\n"
- | ParamodulationSuccess (Some proof, env) ->
- let proof = Inference.build_proof_term proof in
+ | ParamodulationSuccess (Some ((cicproof,cicmenv),(proof, env))) ->
Printf.printf "OK, found a proof!\n";
+ let oldproof = Equation.build_proof_term proof in
+ let newproof,_,newenv,_ =
+ CicRefine.type_of_aux'
+ cicmenv context cicproof CicUniv.empty_ugraph
+ in
(* REMEMBER: we have to instantiate meta_proof, we should use
apply the "apply" tactic to proof and status
*)
let names = names_of_context context in
+ prerr_endline "OLD PROOF";
print_endline (PP.pp proof names);
+ prerr_endline "NEW PROOF";
+ print_endline (PP.pp newproof names);
let newmetasenv =
List.fold_left
- (fun m (_, _, _, menv, _) -> m @ menv) metasenv equalities
+ (fun m eq ->
+ let (_, _, _, menv,_) = Equality.open_equality eq in
+ m @ menv)
+ metasenv equalities
in
let _ =
(*try*)
in
()
- | ParamodulationSuccess (None, env) ->
+ | ParamodulationSuccess None ->
Printf.printf "Success, but no proof?!?\n\n"
in
- if Utils.time then
- begin
- prerr_endline
- ((Printf.sprintf ("infer_time: %.9f\nforward_simpl_time: %.9f\n" ^^
+ if Utils.time then
+ begin
+ prerr_endline
+ ((Printf.sprintf ("infer_time: %.9f\nforward_simpl_time: %.9f\n" ^^
"forward_simpl_new_time: %.9f\n" ^^
"backward_simpl_time: %.9f\n")
!infer_time !forward_simpl_time !forward_simpl_new_time
!backward_simpl_time) ^
- (Printf.sprintf "beta_expand_time: %.9f\n"
- !Indexing.beta_expand_time) ^
- (Printf.sprintf "passive_maintainance_time: %.9f\n"
- !passive_maintainance_time) ^
- (Printf.sprintf " successful unification/matching time: %.9f\n"
- !Indexing.match_unif_time_ok) ^
- (Printf.sprintf " failed unification/matching time: %.9f\n"
- !Indexing.match_unif_time_no) ^
- (Printf.sprintf " indexing retrieval time: %.9f\n"
- !Indexing.indexing_retrieval_time) ^
- (Printf.sprintf " demodulate_term.build_newtarget_time: %.9f\n"
- !Indexing.build_newtarget_time) ^
- (Printf.sprintf "derived %d clauses, kept %d clauses.\n"
- !derived_clauses !kept_clauses))
- end
+ (Printf.sprintf "passive_maintainance_time: %.9f\n"
+ !passive_maintainance_time) ^
+ (Printf.sprintf " successful unification/matching time: %.9f\n"
+ !Indexing.match_unif_time_ok) ^
+ (Printf.sprintf " failed unification/matching time: %.9f\n"
+ !Indexing.match_unif_time_no) ^
+ (Printf.sprintf " indexing retrieval time: %.9f\n"
+ !Indexing.indexing_retrieval_time) ^
+ (Printf.sprintf " demodulate_term.build_newtarget_time: %.9f\n"
+ !Indexing.build_newtarget_time) ^
+ (Printf.sprintf "derived %d clauses, kept %d clauses.\n"
+ !derived_clauses !kept_clauses))
+ end
(*
with exc ->
print_endline ("EXCEPTION: " ^ (Printexc.to_string exc));
raise exc
*)
;;
-
+*)
let default_depth = !maxdepth
and default_width = !maxwidth;;
let reset_refs () =
maxmeta := 0;
- Indexing.local_max := 100;
symbols_counter := 0;
weight_age_counter := !weight_age_ratio;
processed_clauses := 0;
passive_maintainance_time := 0.;
derived_clauses := 0;
kept_clauses := 0;
- Indexing.beta_expand_time := 0.;
- Inference.metas_of_proof_time := 0.;
+ Equality.reset ();
;;
-let saturate
+let saturate
dbd ?(full=false) ?(depth=default_depth) ?(width=default_width) status =
let module C = Cic in
reset_refs ();
Indexing.init_index ();
+ counter := 0;
maxdepth := depth;
maxwidth := width;
- let proof, goal = status in
- let goal' = goal in
+(* CicUnification.unif_ty := false;*)
+ let proof, goalno = status in
let uri, metasenv, meta_proof, term_to_prove = proof in
- let _, context, goal = CicUtil.lookup_meta goal' metasenv in
+ let _, context, type_of_goal = CicUtil.lookup_meta goalno metasenv in
+ let names = names_of_context context in
let eq_indexes, equalities, maxm = find_equalities context proof in
- let new_meta_goal, metasenv, type_of_goal =
- let irl =
- CicMkImplicit.identity_relocation_list_for_metavariable context in
- let _, context, ty = CicUtil.lookup_meta goal' metasenv in
- debug_print
- (lazy (Printf.sprintf "\n\nTIPO DEL GOAL: %s\n" (CicPp.ppterm ty)));
- Cic.Meta (maxm+1, irl),
- (maxm+1, context, ty)::metasenv,
- ty
- in
let ugraph = CicUniv.empty_ugraph in
- let env = (metasenv, context, ugraph) in
- let goal = Inference.BasicProof new_meta_goal, [], goal in
+ let env = (metasenv, context, ugraph) in
+ let goal = [], List.filter (fun (i,_,_)->i<>goalno) metasenv, type_of_goal in
let res, time =
let t1 = Unix.gettimeofday () in
let lib_eq_uris, library_equalities, maxm =
- find_library_equalities dbd context (proof, goal') (maxm+2)
+ find_library_equalities dbd context (proof, goalno) (maxm+2)
in
let library_equalities = List.map snd library_equalities in
let t2 = Unix.gettimeofday () in
let t1 = Unix.gettimeofday () in
let theorems =
if full then
- let thms = find_library_theorems dbd env (proof, goal') lib_eq_uris in
+ let thms = find_library_theorems dbd env (proof, goalno) lib_eq_uris in
let context_hyp = find_context_hypotheses env eq_indexes in
context_hyp @ thms, []
else
let refl_equal =
- let us = UriManager.string_of_uri (LibraryObjects.eq_URI ()) in
+ let us = UriManager.string_of_uri (Utils.eq_URI ()) in
UriManager.uri_of_string (us ^ "#xpointer(1/1/1)")
in
let t = CicUtil.term_of_uri refl_equal in
(Printf.sprintf "Time to retrieve theorems: %.9f\n" (t2 -. t1)));
in
let active = make_active () in
- let passive = make_passive [] equalities in
+ let passive = make_passive equalities in
let start = Unix.gettimeofday () in
let res =
+(*
let goals = make_goals goal in
given_clause_fullred dbd env goals theorems passive active
+*)
+ let goals = make_goal_set goal in
+ let max_iterations = 10000 in
+ let max_time = Unix.gettimeofday () +. 300. (* minutes *) in
+ given_clause env goals theorems passive active max_iterations max_time
in
let finish = Unix.gettimeofday () in
(res, finish -. start)
in
match res with
- | ParamodulationSuccess (Some proof, env) ->
- debug_print (lazy "OK, found a proof!");
- let proof = Inference.build_proof_term proof in
- let names = names_of_context context in
- let newmetasenv =
- let i1 =
- match new_meta_goal with
- | C.Meta (i, _) -> i | _ -> assert false
+ | ParamodulationFailure s ->
+ raise (ProofEngineTypes.Fail (lazy ("NO proof found: " ^ s)))
+ | ParamodulationSuccess
+ (goalproof,newproof,subsumption_id,subsumption_subst, proof_menv) ->
+ prerr_endline "OK, found a proof!";
+ prerr_endline
+ (Equality.pp_proof names goalproof newproof subsumption_subst
+ subsumption_id type_of_goal);
+ prerr_endline (CicMetaSubst.ppmetasenv [] proof_menv);
+ prerr_endline "ENDOFPROOFS";
+ (* generation of the CIC proof *)
+ let side_effects =
+ List.filter (fun i -> i <> goalno)
+ (ProofEngineHelpers.compare_metasenvs
+ ~newmetasenv:metasenv ~oldmetasenv:proof_menv)
+ in
+ let goal_proof, side_effects_t =
+ let initial = Equality.add_subst subsumption_subst newproof in
+ Equality.build_goal_proof goalproof initial type_of_goal side_effects
+ in
+ let goal_proof = Subst.apply_subst subsumption_subst goal_proof in
+ let metas_still_open_in_proof = Utils.metas_of_term goal_proof in
+(*prerr_endline (CicPp.pp goal_proof names);*)
+ (* ?? *)
+ let goal_proof = (* Subst.apply_subst subsumption_subst *) goal_proof in
+ let side_effects_t =
+ List.map (Subst.apply_subst subsumption_subst) side_effects_t
+ in
+ (* replacing fake mets with real ones *)
+ prerr_endline "replacing metas...";
+ let irl=CicMkImplicit.identity_relocation_list_for_metavariable context in
+ let goal_proof_menv, what, with_what,free_meta =
+ List.fold_left
+ (fun (acc1,acc2,acc3,uniq) (i,_,ty) ->
+ match uniq with
+ | Some m ->
+ acc1, (Cic.Meta(i,[]))::acc2, m::acc3, uniq
+ | None ->
+ [i,context,ty], (Cic.Meta(i,[]))::acc2,
+ (Cic.Meta(i,irl)) ::acc3,Some (Cic.Meta(i,irl)))
+ ([],[],[],None)
+ (List.filter
+ (fun (i,_,_) -> List.mem i metas_still_open_in_proof)
+ proof_menv)
+ in
+ let replace where =
+ (* we need this fake equality since the metas of the hypothesis may be
+ * with a real local context *)
+ ProofEngineReduction.replace_lifting
+ ~equality:(fun x y ->
+ match x,y with Cic.Meta(i,_),Cic.Meta(j,_) -> i=j | _-> false)
+ ~what ~with_what ~where
+ in
+ let goal_proof = replace goal_proof in
+ (* ok per le meta libere... ma per quelle che c'erano e sono rimaste?
+ * what mi pare buono, sostituisce solo le meta farlocche *)
+ let side_effects_t = List.map replace side_effects_t in
+ let free_metas =
+ List.filter (fun i -> i <> goalno)
+ (ProofEngineHelpers.compare_metasenvs
+ ~oldmetasenv:metasenv ~newmetasenv:goal_proof_menv)
+ in
+prerr_endline ("freemetas: " ^ String.concat "," (List.map string_of_int free_metas) );
+ (* check/refine/... build the new proof *)
+ let replaced_goal =
+ ProofEngineReduction.replace
+ ~what:side_effects ~with_what:side_effects_t
+ ~equality:(fun i t -> match t with Cic.Meta(j,_)->j=i|_->false)
+ ~where:type_of_goal
+ in
+ let subst_side_effects,real_menv,_ =
+ let fail t s = raise (ProofEngineTypes.Fail (lazy (t^Lazy.force s))) in
+ let free_metas_menv =
+ List.map (fun i -> CicUtil.lookup_meta i goal_proof_menv) free_metas
in
- List.filter (fun (i, _, _) -> i <> i1 && i <> goal') metasenv
+ try
+ CicUnification.fo_unif_subst [] context (metasenv @ free_metas_menv)
+ replaced_goal type_of_goal CicUniv.empty_ugraph
+ with
+ | CicUnification.UnificationFailure s
+ | CicUnification.Uncertain s
+ | CicUnification.AssertFailure s ->
+ fail "Maybe the local context of metas in the goal was not an IRL" s
+ in
+ let final_subst =
+ (goalno,(context,goal_proof,type_of_goal))::subst_side_effects
in
- let newstatus =
+prerr_endline ("MENVreal_menv: " ^ CicMetaSubst.ppmetasenv [] real_menv);
+ let _ =
try
- let ty, ug =
- CicTypeChecker.type_of_aux' newmetasenv context proof ugraph
- in
- debug_print (lazy (CicPp.pp proof [](* names *)));
- debug_print
- (lazy
- (Printf.sprintf
- "\nGOAL was: %s\nPROOF has type: %s\nconvertible?: %s\n"
- (CicPp.pp type_of_goal names) (CicPp.pp ty names)
- (string_of_bool
- (fst (CicReduction.are_convertible
- context type_of_goal ty ug)))));
- let equality_for_replace i t1 =
- match t1 with
- | C.Meta (n, _) -> n = i
- | _ -> false
- in
- let real_proof =
- ProofEngineReduction.replace
- ~equality:equality_for_replace
- ~what:[goal'] ~with_what:[proof]
- ~where:meta_proof
- in
- debug_print
- (lazy
- (Printf.sprintf "status:\n%s\n%s\n%s\n%s\n"
- (match uri with Some uri -> UriManager.string_of_uri uri
- | None -> "")
- (print_metasenv newmetasenv)
- (CicPp.pp real_proof [](* names *))
- (CicPp.pp term_to_prove names)));
- ((uri, newmetasenv, real_proof, term_to_prove), [])
- with CicTypeChecker.TypeCheckerFailure _ ->
- debug_print (lazy "THE PROOF DOESN'T TYPECHECK!!!");
- debug_print (lazy (CicPp.pp proof names));
- raise (ProofEngineTypes.Fail
- (lazy "Found a proof, but it doesn't typecheck"))
+ CicTypeChecker.type_of_aux' real_menv context goal_proof
+ CicUniv.empty_ugraph
+ with
+ | CicUtil.Meta_not_found _
+ | CicTypeChecker.TypeCheckerFailure _
+ | CicTypeChecker.AssertFailure _
+ | Invalid_argument "list_fold_left2" as exn ->
+ prerr_endline "THE PROOF DOES NOT TYPECHECK!";
+ prerr_endline (CicPp.pp goal_proof names);
+ prerr_endline "THE PROOF DOES NOT TYPECHECK!";
+ raise exn
in
- let tall = fs_time_info.build_all in
- let tdemodulate = fs_time_info.demodulate in
- let tsubsumption = fs_time_info.subsumption in
- if Utils.time then
- begin
- prerr_endline (
- (Printf.sprintf "\nTIME NEEDED: %.9f" time) ^
- (Printf.sprintf "\ntall: %.9f" tall) ^
- (Printf.sprintf "\ntdemod: %.9f" tdemodulate) ^
- (Printf.sprintf "\ntsubsumption: %.9f" tsubsumption) ^
- (Printf.sprintf "\ninfer_time: %.9f" !infer_time) ^
- (Printf.sprintf "\nbeta_expand_time: %.9f\n"
- !Indexing.beta_expand_time) ^
- (Printf.sprintf "\nmetas_of_proof: %.9f\n"
- !Inference.metas_of_proof_time) ^
- (Printf.sprintf "\nforward_simpl_times: %.9f" !forward_simpl_time) ^
- (Printf.sprintf "\nforward_simpl_new_times: %.9f"
- !forward_simpl_new_time) ^
- (Printf.sprintf "\nbackward_simpl_times: %.9f" !backward_simpl_time) ^
- (Printf.sprintf "\npassive_maintainance_time: %.9f"
- !passive_maintainance_time))
- end;
- newstatus
- | _ ->
- raise (ProofEngineTypes.Fail (lazy "NO proof found"))
+ let proof, real_metasenv =
+ ProofEngineHelpers.subst_meta_and_metasenv_in_proof
+ proof goalno (CicMetaSubst.apply_subst final_subst) real_menv
+ in
+ let open_goals =
+ match free_meta with Some(Cic.Meta(m,_)) when m<>goalno ->[m] | _ ->[]
+ in
+ Printf.eprintf
+ "GOALS APERTI: %s\nMETASENV PRIMA:\n%s\nMETASENV DOPO:\n%s\n"
+ (String.concat ", " (List.map string_of_int open_goals))
+ (CicMetaSubst.ppmetasenv [] metasenv)
+ (CicMetaSubst.ppmetasenv [] real_metasenv);
+ prerr_endline (Printf.sprintf "\nTIME NEEDED: %8.2f" time);
+ proof, open_goals
;;
-(* dummy function called within matita to trigger linkage *)
-let init () = ();;
-
-
let retrieve_and_print dbd term metasenv ugraph =
let module C = Cic in
let module T = CicTypeChecker in
let proof, goals = status in
let goal' = List.nth goals 0 in
let uri, metasenv, meta_proof, term_to_prove = proof in
- let _, context, goal = CicUtil.lookup_meta goal' metasenv in
+ let _, context, type_of_goal = CicUtil.lookup_meta goal' metasenv in
let eq_indexes, equalities, maxm = find_equalities context proof in
- let new_meta_goal, metasenv, type_of_goal =
- let irl =
- CicMkImplicit.identity_relocation_list_for_metavariable context in
- let _, context, ty = CicUtil.lookup_meta goal' metasenv in
- debug_print
- (lazy (Printf.sprintf "\n\nTIPO DEL GOAL: %s\n" (CicPp.ppterm ty)));
- Cic.Meta (maxm+1, irl),
- (maxm+1, context, ty)::metasenv,
- ty
- in
let ugraph = CicUniv.empty_ugraph in
let env = (metasenv, context, ugraph) in
let t1 = Unix.gettimeofday () in
debug_print
(lazy
(Printf.sprintf "\n\nequalities:\n%s\n"
- (String.concat "\n"
+ (String.concat "\n"
(List.map
- (fun (u, e) ->
-(* Printf.sprintf "%s: %s" *)
- (UriManager.string_of_uri u)
-(* (string_of_equality e) *)
- )
- equalities))));
+ (fun (u, e) ->
+(* Printf.sprintf "%s: %s" *)
+ (UriManager.string_of_uri u)
+(* (string_of_equality e) *)
+ )
+ equalities))));
debug_print (lazy "RETR: SIMPLYFYING EQUALITIES...");
let rec simpl e others others_simpl =
let (u, e) = e in
let res = forward_simplify env (Positive, e) (active, tbl) in
match others with
| hd::tl -> (
- match res with
- | None -> simpl hd tl others_simpl
- | Some e -> simpl hd tl ((u, (snd e))::others_simpl)
- )
+ match res with
+ | None -> simpl hd tl others_simpl
+ | Some e -> simpl hd tl ((u, e)::others_simpl)
+ )
| [] -> (
- match res with
- | None -> others_simpl
- | Some e -> (u, (snd e))::others_simpl
- )
+ match res with
+ | None -> others_simpl
+ | Some e -> (u, e)::others_simpl
+ )
in
let _equalities =
match equalities with
| [] -> []
| hd::tl ->
- let others = tl in (* List.map (fun e -> (Positive, e)) tl in *)
- let res =
- List.rev (simpl (*(Positive,*) hd others [])
- in
- debug_print
- (lazy
- (Printf.sprintf "\nequalities AFTER:\n%s\n"
- (String.concat "\n"
- (List.map
- (fun (u, e) ->
- Printf.sprintf "%s: %s"
- (UriManager.string_of_uri u)
- (string_of_equality e)
- )
- res))));
- res in
+ let others = tl in (* List.map (fun e -> (Positive, e)) tl in *)
+ let res =
+ List.rev (simpl (*(Positive,*) hd others [])
+ in
+ debug_print
+ (lazy
+ (Printf.sprintf "\nequalities AFTER:\n%s\n"
+ (String.concat "\n"
+ (List.map
+ (fun (u, e) ->
+ Printf.sprintf "%s: %s"
+ (UriManager.string_of_uri u)
+ (Equality.string_of_equality e)
+ )
+ res))));
+ res in
debug_print
(lazy
(Printf.sprintf "Time to retrieve equalities: %.9f\n" (t2 -. t1)))
in
let env = (metasenv, context, ugraph) in
(*try*)
- let goal = Inference.BasicProof new_meta_goal, [], goal in
+ let goal = [], [], goal
+ in
let equalities = simplify_equalities env (equalities@library_equalities) in
let active = make_active () in
- let passive = make_passive [] equalities in
+ let passive = make_passive equalities in
Printf.printf "\ncontext:\n%s\n" (PP.ppcontext context);
Printf.printf "\nmetasenv:\n%s\n" (print_metasenv metasenv);
Printf.printf "\nequalities:\n%s\n"
(String.concat "\n"
(List.map
- (string_of_equality ~env) equalities));
+ (Equality.string_of_equality ~env) equalities));
print_endline "--------------------------------------------------";
print_endline "GO!";
start_time := Unix.gettimeofday ();
let passive =
match rp with
- | (n, _), (p, _), _ ->
+ | (p, _), _ ->
EqualitySet.elements (List.fold_left addfun EqualitySet.empty p)
in
let active =
- let l = List.map snd (fst ra) in
+ let l = fst ra in
EqualitySet.elements (List.fold_left addfun EqualitySet.empty l)
in
Printf.printf "\n\nRESULTS:\nActive:\n%s\n\nPassive:\n%s\n"
- (String.concat "\n" (List.map (string_of_equality ~env) active))
+ (String.concat "\n" (List.map (Equality.string_of_equality ~env) active))
(* (String.concat "\n"
(List.map (fun e -> CicPp.ppterm (term_of_equality e)) active)) *)
(* (String.concat "\n" (List.map (string_of_equality ~env) passive)); *)
(String.concat "\n"
- (List.map (fun e -> CicPp.ppterm (term_of_equality e)) passive));
+ (List.map (fun e -> CicPp.ppterm (Equality.term_of_equality e)) passive));
print_newline ();
(*
with e ->
*)
;;
-let demodulate_tac ~dbd ~pattern ((proof,goal) as initialstatus) =
+let demodulate_tac ~dbd ~pattern ((proof,goal)(*s initialstatus*)) =
let module I = Inference in
let curi,metasenv,pbo,pty = proof in
let metano,context,ty = CicUtil.lookup_meta goal metasenv in
if library_equalities = [] then prerr_endline "VUOTA!!!";
let irl = CicMkImplicit.identity_relocation_list_for_metavariable context in
let library_equalities = List.map snd library_equalities in
- let goalterm = Cic.Meta (metano,irl) in
- let initgoal = Inference.BasicProof goalterm, [], ty in
+ let initgoal = [], [], ty in
let env = (metasenv, context, CicUniv.empty_ugraph) in
let equalities = simplify_equalities env (equalities@library_equalities) in
let table =
(fun tbl eq -> Indexing.index tbl eq)
Indexing.empty equalities
in
- let newmeta,(newproof,newmetasenv, newty) = Indexing.demodulation_goal
- maxm (metasenv,context,CicUniv.empty_ugraph) table initgoal
+ let changed,(newproof,newmetasenv, newty) =
+ Indexing.demodulation_goal
+ (metasenv,context,CicUniv.empty_ugraph) table initgoal
in
- if newmeta != maxm then
+ if changed then
begin
- let opengoal = Cic.Meta(maxm,irl) in
- let proofterm =
- Inference.build_proof_term ~noproof:opengoal newproof in
+ let opengoal = Equality.Exact (Cic.Meta(maxm,irl)) in
+ let proofterm,_ =
+ Equality.build_goal_proof newproof opengoal ty [] in
let extended_metasenv = (maxm,context,newty)::metasenv in
- let extended_status =
- (curi,extended_metasenv,pbo,pty),goal in
- let (status,newgoals) =
- ProofEngineTypes.apply_tactic
- (PrimitiveTactics.apply_tac ~term:proofterm)
- extended_status in
- (status,maxm::newgoals)
+ let extended_status =
+ (curi,extended_metasenv,pbo,pty),goal in
+ let (status,newgoals) =
+ ProofEngineTypes.apply_tactic
+ (PrimitiveTactics.apply_tac ~term:proofterm)
+ extended_status in
+ (status,maxm::newgoals)
end
- else if newty = ty then
+ else (* if newty = ty then *)
raise (ProofEngineTypes.Fail (lazy "no progress"))
- else ProofEngineTypes.apply_tactic
+ (*else ProofEngineTypes.apply_tactic
(ReductionTactics.simpl_tac ~pattern)
- initialstatus
+ initialstatus*)
;;
let demodulate_tac ~dbd ~pattern =
ProofEngineTypes.mk_tactic (demodulate_tac ~dbd ~pattern)
;;
+
+let get_stats () =
+ <:show<Saturation.>> ^ Indexing.get_stats () ^ Inference.get_stats ();;
+
projects / helm.git / blobdiff