open Printf
let print ?(depth=0) s =
- prerr_endline (String.make depth '\t'^Lazy.force s)
+ prerr_endline (String.make (2*depth) ' '^Lazy.force s)
let noprint ?(depth=0) _ = ()
let debug_print = noprint
let vcompare (_,v1) (_,v2) =
Pervasives.compare (relevance v1) (relevance v2) in
let l = List.sort vcompare l in
+ let short_name r =
+ Filename.chop_extension
+ (Filename.basename (NReference.string_of_reference r))
+ in
let vstring (a,v)=
- NotationPp.pp_term status (Ast.NCic (NCic.Const a)) ^ ": rel = " ^
+ short_name a ^ ": rel = " ^
(string_of_float (relevance v)) ^
"; uses = " ^ (string_of_int !(v.uses)) ^
"; nom = " ^ (string_of_int !(v.nominations)) in
let ty = NCicTypeChecker.typeof status subst metasenv ctx t in
is_a_fact status (mk_cic_term ctx ty)
-let current_goal status =
+let current_goal ?(single_goal=true) status =
let open_goals = head_goals status#stack in
- assert (List.length open_goals = 1);
+ if single_goal
+ then assert (List.length open_goals = 1)
+ else assert (List.length open_goals >= 1);
let open_goal = List.hd open_goals in
let gty = get_goalty status open_goal in
let ctx = ctx_of gty in
(fun open_goal ->
h := max !h (height_of_goal open_goal status))
open_goals;
- debug_print (lazy ("altezza sequente: " ^ string_of_int !h));
+ noprint (lazy ("altezza sequente: " ^ string_of_int !h));
!h
;;
let gty = NCicUntrusted.apply_subst status subst ctx gty in
let build_status (pt, _, metasenv, subst) =
try
- debug_print (lazy ("refining: "^(status#ppterm ctx subst metasenv pt)));
+ noprint (lazy ("refining: "^(status#ppterm ctx subst metasenv pt)));
let stamp = Unix.gettimeofday () in
let metasenv, subst, pt, pty =
(* NCicRefiner.typeof status
(* (status#set_coerc_db NCicCoercion.empty_db) *)
metasenv subst ctx pt None in
- print (lazy ("refined: "^(status#ppterm ctx subst metasenv pt)));
- debug_print (lazy ("synt: "^(status#ppterm ctx subst metasenv pty)));
+ debug_print (lazy ("refined: "^(status#ppterm ctx subst metasenv pt)));
+ noprint (lazy ("synt: "^(status#ppterm ctx subst metasenv pty)));
let metasenv, subst =
NCicUnification.unify status metasenv subst ctx gty pty *)
NCicRefiner.typeof
(status#set_coerc_db NCicCoercion.empty_db)
metasenv subst ctx pt (Some gty)
in
- debug_print (lazy (Printf.sprintf "Refined in %fs"
+ noprint (lazy (Printf.sprintf "Refined in %fs"
(Unix.gettimeofday() -. stamp)));
let status = status#set_obj (n,h,metasenv,subst,o) in
let metasenv = List.filter (fun j,_ -> j <> goal) metasenv in
;;
let index_local_equations eq_cache status =
- debug_print (lazy "indexing equations");
+ noprint (lazy "indexing equations");
let open_goals = head_goals status#stack in
let open_goal = List.hd open_goals in
let ngty = get_goalty status open_goal in
+ let _,_,metasenv,subst,_ = status#obj in
let ctx = apply_subst_context ~fix_projections:true status (ctx_of ngty) in
let c = ref 0 in
List.fold_left
c:= !c+1;
let t = NCic.Rel !c in
try
- let ty = NCicTypeChecker.typeof status [] [] ctx t in
+ let ty = NCicTypeChecker.typeof status subst metasenv ctx t in
if is_a_fact status (mk_cic_term ctx ty) then
- (debug_print(lazy("eq indexing " ^ (status#ppterm ctx [] [] ty)));
- NCicParamod.forward_infer_step eq_cache t ty)
+ (noprint(lazy("eq indexing " ^ (status#ppterm ctx subst metasenv ty)));
+ NCicParamod.forward_infer_step status metasenv subst ctx eq_cache t ty)
else
- (debug_print (lazy ("not a fact: " ^ (status#ppterm ctx [] [] ty)));
+ (noprint (lazy ("not a fact: " ^ (status#ppterm ctx subst metasenv ty)));
eq_cache)
with
| NCicTypeChecker.TypeCheckerFailure _
List.iter
(fun i ->
let (_, ctx, t, _) = List.assoc i subst in
- debug_print (lazy (status#ppterm ctx [] [] t));
+ noprint (lazy (status#ppterm ctx [] [] t));
List.iter
(fun (uri,_,_,_,_) as obj ->
- NCicEnvironment.invalidate_item (`Obj (uri, obj)))
+ NCicEnvironment.invalidate_item status (`Obj (uri, obj)))
objs;
())
gl
let elems = IntSet.elements subset in
let _, ctx, ty = NCicUtils.lookup_meta g metasenv in
let ty = NCicUntrusted.apply_subst status subst ctx ty in
- debug_print (lazy ("metas in " ^ (status#ppterm ctx [] metasenv ty)));
- debug_print (lazy (String.concat ", " (List.map string_of_int elems)));
+ noprint (lazy ("metas in " ^ (status#ppterm ctx [] metasenv ty)));
+ noprint (lazy (String.concat ", " (List.map string_of_int elems)));
let submenv = List.filter (fun (x,_) -> IntSet.mem x subset) metasenv in
let submenv = List.rev (NCicUntrusted.sort_metasenv status subst submenv) in
(*
let submenv = metasenv in
*)
let ty = close_wrt_metasenv status subst ty submenv in
- debug_print (lazy (status#ppterm ctx [] [] ty));
+ noprint (lazy (status#ppterm ctx [] [] ty));
ctx,ty
;;
let _,_,metasenv,subst,_ = status#obj in
let _,ctx,jty = List.assoc j metasenv in
let jty = NCicUntrusted.apply_subst status subst ctx jty in
- debug_print(lazy("goal " ^ (status#ppterm ctx [] [] jty)));
+ noprint(lazy("goal " ^ (status#ppterm ctx [] [] jty)));
fast_eq_check unit_eq status j
with
| NCicEnvironment.ObjectNotFound s as e ->
raise (Error (lazy "eq_coerc non yet defined",Some e))
| Error _ as e -> debug_print (lazy "error"); raise e
+let compare_statuses ~past ~present =
+ let _,_,past,_,_ = past#obj in
+ let _,_,present,_,_ = present#obj in
+ List.map fst (List.filter (fun (i,_) -> not(List.mem_assoc i past)) present),
+ List.map fst (List.filter (fun (i,_) -> not (List.mem_assoc i present)) past)
+;;
+
+(* paramodulation has only an implicit knowledge of the symmetry of equality;
+ hence it is in trouble in proving (a = b) = (b = a) *)
+let try_sym tac status g =
+ (* put the right uri *)
+ let sym_eq = Ast.Appl [Ast.Ident("sym_eq",`Ambiguous); Ast.Implicit `Vector] in
+ let _,_,metasenv,subst,_ = status#obj in
+ let _, context, gty = List.assoc g metasenv in
+ let is_eq =
+ NCicParamod.is_equation status metasenv subst context gty
+ in
+ if is_eq then
+ try tac status g
+ with Error _ ->
+ let new_status = instantiate_with_ast status g ("",0,sym_eq) in
+ let go, _ = compare_statuses ~past:status ~present:new_status in
+ assert (List.length go = 1);
+ let ng = List.hd go in
+ tac new_status ng
+ else tac status g
+;;
+
let smart_apply_tac t s =
let unit_eq = index_local_equations s#eq_cache s in
- NTactics.distribute_tac (smart_apply t unit_eq) s
+ NTactics.distribute_tac (try_sym (smart_apply t unit_eq)) s
+ (* NTactics.distribute_tac (smart_apply t unit_eq) s *)
let smart_apply_auto t eq_cache =
- NTactics.distribute_tac (smart_apply t eq_cache)
+ NTactics.distribute_tac (try_sym (smart_apply t eq_cache))
+ (* NTactics.distribute_tac (smart_apply t eq_cache) *)
(****************** types **************)
(fun (status, acc) g ->
let gty = get_goalty status g in
let ctx = ctx_of gty in
- debug_print(lazy("th cache for: "^ppterm status gty));
- debug_print(lazy("th cache in: "^ppcontext status ctx));
+ noprint(lazy("th cache for: "^ppterm status gty));
+ noprint(lazy("th cache in: "^ppcontext status ctx));
if List.mem_assq ctx acc then status, acc else
let idx = InvRelDiscriminationTree.empty in
let status,_,idx =
(fun (status, i, idx) _ ->
let t = mk_cic_term ctx (NCic.Rel i) in
let status, keys = keys_of_term status t in
- debug_print(lazy("indexing: "^ppterm status t ^ ": " ^ string_of_int (List.length keys)));
+ noprint(lazy("indexing: "^ppterm status t ^ ": " ^ string_of_int (List.length keys)));
let idx =
List.fold_left (fun idx k ->
InvRelDiscriminationTree.index idx k t) idx keys
(status,[]) gl
;;
+let all_elements ctx cache =
+ let dummy = mk_cic_term ctx (NCic.Meta (0,(0, (NCic.Irl 0)))) in
+ try
+ let idx = List.assq ctx cache in
+ Ncic_termSet.elements
+ (InvRelDiscriminationTree.retrieve_unifiables idx dummy)
+ with Not_found -> []
+
let add_to_th t c ty =
let key_c = ctx_of t in
if not (List.mem_assq key_c c) then
let pp_idx status idx =
InvRelDiscriminationTree.iter idx
(fun k set ->
- debug_print(lazy("K: " ^ NCicInverseRelIndexable.string_of_path k));
+ noprint(lazy("K: " ^ NCicInverseRelIndexable.string_of_path k));
Ncic_termSet.iter
(fun t -> debug_print(lazy("\t"^ppterm status t)))
set)
let pp_th (status: #NTacStatus.pstatus) =
List.iter
(fun ctx, idx ->
- debug_print(lazy( "-----------------------------------------------"));
- debug_print(lazy( (status#ppcontext ~metasenv:[] ~subst:[] ctx)));
- debug_print(lazy( "||====> "));
+ noprint(lazy( "-----------------------------------------------"));
+ noprint(lazy( (status#ppcontext ~metasenv:[] ~subst:[] ctx)));
+ noprint(lazy( "||====> "));
pp_idx status idx)
;;
type cache =
{facts : th_cache; (* positive results *)
under_inspection : cic_term list * th_cache; (* to prune looping *)
+ failures : th_cache; (* to avoid repetitions *)
unit_eq : NCicParamod.state;
trace: Ast.term list
}
let add_to_trace status ~depth cache t =
match t with
| Ast.NRef _ ->
- debug_print ~depth (lazy ("Adding to trace: " ^ NotationPp.pp_term status t));
+ print ~depth (lazy ("Adding to trace: " ^ NotationPp.pp_term status t));
{cache with trace = t::cache.trace}
| Ast.NCic _ (* local candidate *)
| _ -> (*not an application *) cache
type fail = goal * cic_term
type candidate = int * Ast.term (* unique candidate number, candidate *)
-exception Gaveup of IntSet.t (* a sublist of unprovable conjunctive
- atoms of the input goals *)
+exception Gaveup of th_cache (* failure cache *)
exception Proved of NTacStatus.tac_status * Ast.term list
(* let close_failures _ c = c;; *)
(* let add_to_cache_and_del_from_orlist_if_green_cut _ _ c _ _ o f _ = c, o, f, false ;; *)
(* let cache_add_underinspection c _ _ = c;; *)
-let init_cache ?(facts=[]) ?(under_inspection=[],[])
+let init_cache ?(facts=[]) ?(under_inspection=[],[])
+ ?(failures=[])
?(unit_eq=NCicParamod.empty_state)
?(trace=[])
_ =
{facts = facts;
+ failures = failures;
under_inspection = under_inspection;
unit_eq = unit_eq;
trace = trace}
let height = fast_height_of_term status candidate_ty in
let rc = signature >= height in
if rc = false then
- debug_print (lazy ("Filtro: " ^ status#ppterm ~context:[] ~subst:[]
+ noprint (lazy ("Filtro: " ^ status#ppterm ~context:[] ~subst:[]
~metasenv:[] candidate ^ ": " ^ string_of_int height))
else
- debug_print (lazy ("Tengo: " ^ status#ppterm ~context:[] ~subst:[]
+ noprint (lazy ("Tengo: " ^ status#ppterm ~context:[] ~subst:[]
~metasenv:[] candidate ^ ": " ^ string_of_int height));
rc *)
let status,t = term_of_cic_term status ct ctx in
let ty = NCicTypeChecker.typeof status subst metasenv ctx t in
let res = branch status (mk_cic_term ctx ty) in
- debug_print (lazy ("branch factor for: " ^ (ppterm status ct) ^ " = "
+ noprint (lazy ("branch factor for: " ^ (ppterm status ct) ^ " = "
^ (string_of_int res)));
res
in
let candidates =
List.sort (fun (a,_) (b,_) -> a - b) candidates in
let candidates = List.map snd candidates in
- debug_print (lazy ("candidates =\n" ^ (String.concat "\n"
+ noprint (lazy ("candidates =\n" ^ (String.concat "\n"
(List.map (NotationPp.pp_term status) candidates))));
candidates
let sort_new_elems l =
List.sort (fun (_,s1) (_,s2) -> openg_no s1 - openg_no s2) l
+let rec stack_goals level gs =
+ if level = 0 then []
+ else match gs with
+ | [] -> assert false
+ | (g,_,_,_)::s ->
+ let is_open = function
+ | (_,Continuationals.Stack.Open i) -> Some i
+ | (_,Continuationals.Stack.Closed _) -> None
+ in
+ HExtlib.filter_map is_open g @ stack_goals (level-1) s
+;;
+
+let open_goals level status = stack_goals level status#stack
+;;
+
let try_candidate ?(smart=0) flags depth status eq_cache ctx t =
try
+ let old_og_no = List.length (open_goals (depth+1) status) in
debug_print ~depth (lazy ("try " ^ (NotationPp.pp_term status) t));
let status =
if smart= 0 then NTactics.apply_tac ("",0,t) status
with Error _ ->
smart_apply_auto ("",0,t) eq_cache status
in
-(*
- let og_no = openg_no status in
- if (* og_no > flags.maxwidth || *)
- ((depth + 1) = flags.maxdepth && og_no <> 0) then
- (debug_print ~depth (lazy "pruned immediately"); None)
- else *)
- (* useless
- let status, cict = disambiguate status ctx ("",0,t) None in
- let status,ct = term_of_cic_term status cict ctx in
- let _,_,metasenv,subst,_ = status#obj in
- let ty = NCicTypeChecker.typeof subst metasenv ctx ct in
- let res = branch status (mk_cic_term ctx ty) in
- if smart=1 && og_no > res then
- (print (lazy ("branch factor for: " ^ (ppterm status cict) ^ " = "
- ^ (string_of_int res) ^ " vs. " ^ (string_of_int og_no)));
- print ~depth (lazy "strange application"); None)
- else *)
- (incr candidate_no;
- Some ((!candidate_no,t),status))
+ (* we compare the expected branching with the actual one and
+ prune the candidate when the latter is larger. The optimization
+ is meant to rule out stange applications of flexible terms,
+ such as the application of eq_f that always succeeds.
+ There is some gain but less than expected *)
+ let og_no = List.length (open_goals (depth+1) status) in
+ let status, cict = disambiguate status ctx ("",0,t) None in
+ let status,ct = term_of_cic_term status cict ctx in
+ let _,_,metasenv,subst,_ = status#obj in
+ let ty = NCicTypeChecker.typeof status subst metasenv ctx ct in
+ let res = branch status (mk_cic_term ctx ty) in
+ let diff = og_no - old_og_no in
+ debug_print (lazy ("expected branching: " ^ (string_of_int res)));
+ debug_print (lazy ("actual: branching" ^ (string_of_int diff)));
+ (* some flexibility *)
+ if diff > res && res > 0 (* facts are never pruned *) then
+ (debug_print (lazy ("branch factor for: " ^ (ppterm status cict) ^ " = "
+ ^ (string_of_int res) ^ " vs. " ^ (string_of_int diff)));
+ debug_print ~depth (lazy "strange application"); None)
+ else
+ (incr candidate_no; Some ((!candidate_no,t),status))
with Error (msg,exn) -> debug_print ~depth (lazy "failed"); None
;;
;;
let get_candidates ?(smart=true) depth flags status cache signature gty =
- let maxd = ((depth + 1) = flags.maxdepth) in
let universe = status#auto_cache in
let _,_,metasenv,subst,_ = status#obj in
let context = ctx_of gty in
let _, raw_gty = term_of_cic_term status gty context in
+ let is_prod, is_eq =
+ let status, t = term_of_cic_term status gty context in
+ let t = NCicReduction.whd status subst context t in
+ match t with
+ | NCic.Prod _ -> true, false
+ | _ -> false, NCicParamod.is_equation status metasenv subst context t
+ in
+ debug_print ~depth (lazy ("gty:" ^ NTacStatus.ppterm status gty));
+ let is_eq =
+ NCicParamod.is_equation status metasenv subst context raw_gty
+ in
let raw_weak_gty, weak_gty =
if smart then
match raw_gty with
| NCic.Appl _
| NCic.Const _
| NCic.Rel _ ->
- let weak = perforate_small status subst metasenv context raw_gty in
- Some weak, Some (mk_cic_term context weak)
+ let raw_weak =
+ perforate_small status subst metasenv context raw_gty in
+ let weak = mk_cic_term context raw_weak in
+ debug_print ~depth (lazy ("weak_gty:" ^ NTacStatus.ppterm status weak));
+ Some raw_weak, Some (weak)
| _ -> None,None
else None,None
in
+ (* we now compute global candidates *)
let global_cands, smart_global_cands =
- match flags.candidates with
- | Some l when (not maxd) -> l,[]
- | Some _
- | None ->
- let mapf s =
- let to_ast = function
- | NCic.Const r when true (*is_relevant statistics r*) -> Some (Ast.NRef r)
- | NCic.Const _ -> None
- | _ -> assert false in
- HExtlib.filter_map
- to_ast (NDiscriminationTree.TermSet.elements s) in
- let g,l =
- get_cands
- (NDiscriminationTree.DiscriminationTree.retrieve_unifiables
- universe)
- NDiscriminationTree.TermSet.diff
- NDiscriminationTree.TermSet.empty
- raw_gty raw_weak_gty in
- mapf g, mapf l in
+ let mapf s =
+ let to_ast = function
+ | NCic.Const r when true
+ (*is_relevant statistics r*) -> Some (Ast.NRef r)
+ (* | NCic.Const _ -> None *)
+ | _ -> assert false in
+ HExtlib.filter_map
+ to_ast (NDiscriminationTree.TermSet.elements s) in
+ let g,l =
+ get_cands
+ (NDiscriminationTree.DiscriminationTree.retrieve_unifiables universe)
+ NDiscriminationTree.TermSet.diff
+ NDiscriminationTree.TermSet.empty
+ raw_gty raw_weak_gty in
+ mapf g, mapf l in
+ (* we now compute local candidates *)
let local_cands,smart_local_cands =
let mapf s =
let to_ast t =
(fun ty -> search_in_th ty cache)
Ncic_termSet.diff Ncic_termSet.empty gty weak_gty in
mapf g, mapf l in
- sort_candidates status context (global_cands@local_cands),
- sort_candidates status context (smart_global_cands@smart_local_cands)
-;;
-
-(* old version
-let get_candidates ?(smart=true) status cache signature gty =
- let universe = status#auto_cache in
- let _,_,metasenv,subst,_ = status#obj in
- let context = ctx_of gty in
- let t_ast t =
- let _status, t = term_of_cic_term status t context
- in Ast.NCic t in
- let c_ast = function
- | NCic.Const r -> Ast.NRef r | _ -> assert false in
- let _, raw_gty = term_of_cic_term status gty context in
- let keys = all_keys_of_cic_term metasenv subst context raw_gty in
- (* we only keep those keys that do not require any intros for now *)
- let no_intros_keys = snd (List.hd keys) in
- let cands =
- NDiscriminationTree.TermSet.fold
- (fun ty acc ->
- NDiscriminationTree.TermSet.union acc
- (NDiscriminationTree.DiscriminationTree.retrieve_unifiables
- universe ty)
- ) no_intros_keys NDiscriminationTree.TermSet.empty in
-(* old code:
- let cands = NDiscriminationTree.DiscriminationTree.retrieve_unifiables
- universe raw_gty in
-*)
- let local_cands =
- NDiscriminationTree.TermSet.fold
- (fun ty acc ->
- Ncic_termSet.union acc (search_in_th (mk_cic_term context ty) cache)
- ) no_intros_keys Ncic_termSet.empty in
-(* old code:
- let local_cands = search_in_th gty cache in
-*)
- debug_print (lazy ("candidates for" ^ NTacStatus.ppterm status gty));
- debug_print (lazy ("local cands = " ^ (string_of_int (List.length (Ncic_termSet.elements local_cands)))));
- let together global local =
- List.map c_ast
- (List.filter (only signature context)
- (NDiscriminationTree.TermSet.elements global)) @
- List.map t_ast (Ncic_termSet.elements local) in
- let candidates = together cands local_cands in
- let candidates = sort_candidates status context candidates in
- let smart_candidates =
- if smart then
- match raw_gty with
- | NCic.Appl _
- | NCic.Const _
- | NCic.Rel _ ->
- let weak_gty = perforate_small status subst metasenv context raw_gty in
- (*
- NCic.Appl (hd:: HExtlib.mk_list(NCic.Meta (0,(0,NCic.Irl 0)))
- (List.length tl)) in *)
- let more_cands =
- NDiscriminationTree.DiscriminationTree.retrieve_unifiables
- universe weak_gty
- in
- let smart_cands =
- NDiscriminationTree.TermSet.diff more_cands cands in
- let cic_weak_gty = mk_cic_term context weak_gty in
- let more_local_cands = search_in_th cic_weak_gty cache in
- let smart_local_cands =
- Ncic_termSet.diff more_local_cands local_cands in
- together smart_cands smart_local_cands
- (* together more_cands more_local_cands *)
- | _ -> []
- else []
+ (* we now splits candidates in facts or not facts *)
+ let test = is_a_fact_ast status subst metasenv context in
+ let by,given_candidates =
+ match flags.candidates with
+ | Some l -> true, l
+ | None -> false, [] in
+ (* we compute candidates to be applied in normal mode, splitted in
+ facts and not facts *)
+ let candidates_facts,candidates_other =
+ let gl1,gl2 = List.partition test global_cands in
+ let ll1,ll2 = List.partition test local_cands in
+ (* if the goal is an equation we avoid to apply unit equalities,
+ since superposition should take care of them; refl is an
+ exception since it prompts for convertibility *)
+ let l1 = if is_eq then [Ast.Ident("refl",`Ambiguous)] else gl1@ll1 in
+ let l2 =
+ (* if smart given candidates are applied in smart mode *)
+ if by && smart then ll2
+ else if by then given_candidates@ll2
+ else gl2@ll2
+ in l1,l2
in
- let smart_candidates = sort_candidates status context smart_candidates in
- (* if smart then smart_candidates, []
- else candidates, [] *)
- candidates, smart_candidates
-;;
-
-let get_candidates ?(smart=true) flags status cache signature gty =
- match flags.candidates with
- | None -> get_candidates ~smart status cache signature gty
- | Some l -> l,[]
-;; *)
+ (* we now compute candidates to be applied in smart mode, splitted in
+ facts and not facts *)
+ let smart_candidates_facts, smart_candidates_other =
+ if is_prod || not(smart) then [],[]
+ else
+ let sgl1,sgl2 = List.partition test smart_global_cands in
+ let sll1,sll2 = List.partition test smart_local_cands in
+ let l1 = if is_eq then [] else sgl1@sll1 in
+ let l2 =
+ if by && smart then given_candidates@sll2
+ else if by then sll2
+ else sgl2@sll2
+ in l1,l2
+ in
+ candidates_facts,
+ smart_candidates_facts,
+ sort_candidates status context (candidates_other),
+ sort_candidates status context (smart_candidates_other)
+;;
let applicative_case depth signature status flags gty cache =
app_counter:= !app_counter+1;
| NCic.Prod _ -> true, false
| _ -> false, NCicParamod.is_equation status metasenv subst context t
in
- debug_print~depth (lazy (string_of_bool is_eq));
- (* old
- let candidates, smart_candidates =
- get_candidates ~smart:(not is_eq) depth
- flags status tcache signature gty in
- (* if the goal is an equation we avoid to apply unit equalities,
- since superposition should take care of them; refl is an
- exception since it prompts for convertibility *)
- let candidates =
- let test x = not (is_a_fact_ast status subst metasenv context x) in
- if is_eq then
- Ast.Ident("refl",None) ::List.filter test candidates
- else candidates in *)
+ debug_print ~depth (lazy (string_of_bool is_eq));
(* new *)
- let candidates, smart_candidates =
+ let candidates_facts, smart_candidates_facts,
+ candidates_other, smart_candidates_other =
get_candidates ~smart:true depth
- flags status tcache signature gty in
- (* if the goal is an equation we avoid to apply unit equalities,
- since superposition should take care of them; refl is an
- exception since it prompts for convertibility *)
- let candidates,smart_candidates =
- let test x = not (is_a_fact_ast status subst metasenv context x) in
- if is_eq then
- Ast.Ident("refl",`Ambiguous) ::List.filter test candidates,
- List.filter test smart_candidates
- else candidates,smart_candidates in
- debug_print ~depth
- (lazy ("candidates: " ^ string_of_int (List.length candidates)));
- debug_print ~depth
- (lazy ("smart candidates: " ^
- string_of_int (List.length smart_candidates)));
- (*
- let sm = 0 in
- let smart_candidates = [] in *)
- let sm = if is_eq then 0 else 2 in
- let maxd = ((depth + 1) = flags.maxdepth) in
- let only_one = flags.last && maxd in
- debug_print (lazy ("only_one: " ^ (string_of_bool only_one)));
- debug_print (lazy ("maxd: " ^ (string_of_bool maxd)));
- let elems =
+ flags status tcache signature gty
+ in
+ let sm = if is_eq || is_prod then 0 else 2 in
+ let sm1 = if flags.last then 2 else 0 in
+ let maxd = (depth + 1 = flags.maxdepth) in
+ let try_candidates only_one sm acc candidates =
List.fold_left
(fun elems cand ->
if (only_one && (elems <> [])) then elems
- else
- if (maxd && not(is_prod) &
- not(is_a_fact_ast status subst metasenv context cand))
- then (debug_print (lazy "pruned: not a fact"); elems)
else
match try_candidate (~smart:sm)
flags depth status cache.unit_eq context cand with
| None -> elems
| Some x -> x::elems)
- [] candidates
- in
- let more_elems =
- if only_one && elems <> [] then elems
- else
- List.fold_left
- (fun elems cand ->
- if (only_one && (elems <> [])) then elems
- else
- if (maxd && not(is_prod) &&
- not(is_a_fact_ast status subst metasenv context cand))
- then (debug_print (lazy "pruned: not a fact"); elems)
- else
- match try_candidate (~smart:1)
- flags depth status cache.unit_eq context cand with
- | None -> elems
- | Some x -> x::elems)
- [] smart_candidates
- in
- elems@more_elems
+ acc candidates
+ in
+ (* if the goal is the last one we stop at the first fact *)
+ let elems = try_candidates flags.last sm [] candidates_facts in
+ (* now we add smart_facts *)
+ let elems = try_candidates flags.last sm elems smart_candidates_facts in
+ (* if we are at maxdepth and the goal is not a product we are done
+ similarly, if the goal is the last one and we already found a
+ solution *)
+ if (maxd && not(is_prod)) || (flags.last && elems<>[]) then elems
+ else
+ let elems = try_candidates false 2 elems candidates_other in
+ debug_print ~depth (lazy ("not facts: try smart application"));
+ try_candidates false 2 elems smart_candidates_other
;;
exception Found
-;;
+;;
(* gty is supposed to be meta-closed *)
-let is_subsumed depth status gty cache =
+let is_subsumed depth filter_depth status gty cache =
if cache=[] then false else (
debug_print ~depth (lazy("Subsuming " ^ (ppterm status gty)));
let n,h,metasenv,subst,obj = status#obj in
let ctx = ctx_of gty in
- let _ , target = term_of_cic_term status gty ctx in
- let target = NCicSubstitution.lift status 1 target in
+ let _ , raw_gty = term_of_cic_term status gty ctx in
+ let target = NCicSubstitution.lift status 1 raw_gty in
+ (* we compute candidates using the perforated type *)
+ let weak_gty =
+ match target with
+ | NCic.Appl _
+ | NCic.Const _
+ | NCic.Rel _ ->
+ let raw_weak =
+ perforate_small status subst metasenv ctx raw_gty in
+ let weak = mk_cic_term ctx raw_weak in
+ debug_print ~depth (lazy ("weak_gty:" ^ NTacStatus.ppterm status weak));
+ Some (weak)
+ | _ -> None
+ in
(* candidates must only be searched w.r.t the given context *)
let candidates =
try
let idx = List.assq ctx cache in
- Ncic_termSet.elements
- (InvRelDiscriminationTree.retrieve_generalizations idx gty)
+ match weak_gty with
+ | Some weak ->
+ Ncic_termSet.elements
+ (InvRelDiscriminationTree.retrieve_unifiables idx weak)
+ |None -> []
with Not_found -> []
in
+ (* this is a dirty trick: the first argument of an application is used
+ to remember at which depth a goal failed *)
+ let filter t =
+ let ctx = ctx_of t in
+ let _, src = term_of_cic_term status t ctx in
+ match src with
+ | NCic.Appl [NCic.Implicit (`Typeof d); t]
+ when d <= depth -> Some (mk_cic_term ctx t)
+ | _ -> None in
+ let candidates =
+ if filter_depth then HExtlib.filter_map filter candidates else candidates in
debug_print ~depth
(lazy ("failure candidates: " ^ string_of_int (List.length candidates)));
try
if l0 <> [] then l0, cache
else
(* whd *)
- let l = (*reduce ~whd:true ~depth status g @*) reduce ~whd:true ~depth status g in
+ let l = reduce ~whd:true ~depth status g in
(* if l <> [] then l,cache else *)
(* backward aplications *)
let l1 =
(* states in l1 have have an empty set of subgoals: no point to sort them *)
debug_print ~depth
(lazy ("alternatives = " ^ (string_of_int (List.length (l1@l@l2)))));
- (* l1 @ (sort_new_elems (l @ l2)), cache *)
- l1 @ (List.rev l2) @ l, cache
+ (* we order alternatives w.r.t the number of subgoals they open *)
+ l1 @ (sort_new_elems l2) @ l, cache
;;
let pp_goal = function
let g = head_goals status#stack in
let sortedg =
(List.rev (MS.topological_sort g (deps status))) in
- debug_print (lazy ("old g = " ^
+ noprint (lazy ("old g = " ^
String.concat "," (List.map string_of_int g)));
- debug_print (lazy ("sorted goals = " ^
+ noprint (lazy ("sorted goals = " ^
String.concat "," (List.map string_of_int sortedg)));
let is_it i = function
| (_,Continuationals.Stack.Open j )
status#set_stack gstatus
;;
-let rec stack_goals level gs =
- if level = 0 then []
- else match gs with
- | [] -> assert false
- | (g,_,_,_)::s ->
- let is_open = function
- | (_,Continuationals.Stack.Open i) -> Some i
- | (_,Continuationals.Stack.Closed _) -> None
- in
- HExtlib.filter_map is_open g @ stack_goals (level-1) s
-;;
-
-let open_goals level status = stack_goals level status#stack
-;;
-
let move_to_side level status =
match status#stack with
| [] -> assert false
List.for_all (fun i -> IntSet.mem i others)
(HExtlib.filter_map is_open g)
+let top_cache ~depth top status cache =
+ if top then
+ let unit_eq = index_local_equations status#eq_cache status in
+ {cache with unit_eq = unit_eq}
+ else cache
+
let rec auto_clusters ?(top=false)
flags signature cache depth status : unit =
debug_print ~depth (lazy ("entering auto clusters at depth " ^
if depth = 0 then raise (Proved (status, cache.trace))
else
let status = NTactics.merge_tac status in
- let cache =
- let l,tree = cache.under_inspection in
- match l with
+ let cache =
+ let l,tree = cache.under_inspection in
+ match l with
| [] -> cache (* possible because of intros that cleans the cache *)
| a::tl -> let tree = rm_from_th a tree a in
- {cache with under_inspection = tl,tree}
- in
- auto_clusters flags signature cache (depth-1) status
+ {cache with under_inspection = tl,tree}
+ in
+ auto_clusters flags signature cache (depth-1) status
else if List.length goals < 2 then
+ let cache = top_cache ~depth top status cache in
auto_main flags signature cache depth status
else
let all_goals = open_goals (depth+1) status in
debug_print ~depth (lazy ("goals = " ^
String.concat "," (List.map string_of_int all_goals)));
let classes = HExtlib.clusters (deps status) all_goals in
- List.iter
- (fun gl ->
- if List.length gl > flags.maxwidth then
- (debug_print ~depth (lazy "FAIL GLOBAL WIDTH");
- raise (Gaveup IntSet.empty))
- else ()) classes;
+ (* if any of the classes exceed maxwidth we fail *)
+ List.iter
+ (fun gl ->
+ if List.length gl > flags.maxwidth then
+ begin
+ debug_print ~depth (lazy "FAIL GLOBAL WIDTH");
+ HLog.warn (sprintf "global width (%u) exceeded: %u"
+ flags.maxwidth (List.length gl));
+ raise (Gaveup cache.failures)
+ end else ()) classes;
if List.length classes = 1 then
let flags =
{flags with last = (List.length all_goals = 1)} in
(* no need to cluster *)
- auto_main flags signature cache depth status
+ let cache = top_cache ~depth top status cache in
+ auto_main flags signature cache depth status
else
- let classes = if top then List.rev classes else classes in
+ let classes = if top then List.rev classes else classes in
debug_print ~depth
(lazy
(String.concat "\n"
(List.map
- (fun l ->
- ("cluster:" ^ String.concat "," (List.map string_of_int l)))
+ (fun l ->
+ ("cluster:" ^ String.concat "," (List.map string_of_int l)))
classes)));
- let status,trace,b =
+ (* we now process each cluster *)
+ let status,cache,b =
List.fold_left
- (fun (status,trace,b) gl ->
- let cache = {cache with trace = trace} in
+ (fun (status,cache,b) gl ->
let flags =
{flags with last = (List.length gl = 1)} in
let lold = List.length status#stack in
debug_print ~depth (lazy ("stack length = " ^
(string_of_int lold)));
let fstatus = deep_focus_tac (depth+1) gl status in
+ let cache = top_cache ~depth top fstatus cache in
try
debug_print ~depth (lazy ("focusing on" ^
String.concat "," (List.map string_of_int gl)));
with
| Proved(status,trace) ->
let status = NTactics.merge_tac status in
+ let cache = {cache with trace = trace} in
let lnew = List.length status#stack in
assert (lold = lnew);
- (status,trace,true)
- | Gaveup _ when top -> (status,trace,b)
+ (status,cache,true)
+ | Gaveup failures when top ->
+ let cache = {cache with failures = failures} in
+ (status,cache,b)
)
- (status,cache.trace,false) classes
+ (status,cache,false) classes
in
let rec final_merge n s =
if n = 0 then s else final_merge (n-1) (NTactics.merge_tac s)
in let status = final_merge depth status
- in if b then raise (Proved(status,trace)) else raise (Gaveup IntSet.empty)
+ in if b then raise (Proved(status,cache.trace)) else raise (Gaveup cache.failures)
and
else
let ng = List.length goals in
(* moved inside auto_clusters *)
- if ng > flags.maxwidth then
- (print ~depth (lazy "FAIL LOCAL WIDTH"); raise (Gaveup IntSet.empty))
- else if depth = flags.maxdepth then
- raise (Gaveup IntSet.empty)
+ if ng > flags.maxwidth then begin
+ debug_print ~depth (lazy "FAIL LOCAL WIDTH");
+ HLog.warn (sprintf "local width (%u) exceeded: %u"
+ flags.maxwidth ng);
+ raise (Gaveup cache.failures)
+ end else if depth = flags.maxdepth then
+ raise (Gaveup cache.failures)
else
let status = NTactics.branch_tac ~force:true status in
let g,gctx, gty = current_goal status in
let ctx,ty = close status g in
let closegty = mk_cic_term ctx ty in
let status, gty = apply_subst status gctx gty in
- debug_print ~depth (lazy("Attacking goal " ^ (string_of_int g) ^" : "^ppterm status gty));
- if is_subsumed depth status closegty (snd cache.under_inspection) then
+ debug_print ~depth (lazy("Attacking goal " ^
+ string_of_int g ^ " : "^ppterm status gty));
+ debug_print ~depth (lazy ("current failures: " ^
+ string_of_int (List.length (all_elements ctx cache.failures))));
+ let is_eq =
+ let _,_,metasenv,subst,_ = status#obj in
+ NCicParamod.is_equation status metasenv subst ctx ty in
+ (* if the goal is an equality we artificially raise its depth up to
+ flags.maxdepth - 1 *)
+ if (not flags.last && is_eq && (depth < (flags.maxdepth -1))) then
+ (* for efficiency reasons, in this case we severely cripple the
+ search depth *)
+ (debug_print ~depth (lazy ("RAISING DEPTH TO " ^ string_of_int (depth+1)));
+ auto_main flags signature cache (depth+1) status)
+ (* check for loops *)
+ else if is_subsumed depth false status closegty (snd cache.under_inspection) then
(debug_print ~depth (lazy "SUBSUMED");
- raise (Gaveup IntSet.add g IntSet.empty))
+ raise (Gaveup cache.failures))
+ (* check for failures *)
+ else if is_subsumed depth true status closegty cache.failures then
+ (debug_print ~depth (lazy "ALREADY MET");
+ raise (Gaveup cache.failures))
else
let new_sig = height_of_goal g status in
if new_sig < signature then
- (debug_print (lazy ("news = " ^ (string_of_int new_sig)));
- debug_print (lazy ("olds = " ^ (string_of_int signature))));
+ (debug_print ~depth (lazy ("news = " ^ (string_of_int new_sig)));
+ debug_print ~depth (lazy ("olds = " ^ (string_of_int signature))));
let alternatives, cache =
do_something signature flags status g depth gty cache in
let loop_cache =
- let l,tree = cache.under_inspection in
- let l,tree = closegty::l, add_to_th closegty tree closegty in
- {cache with under_inspection = l,tree} in
- List.iter
- (fun ((_,t),status) ->
+ if flags.last then
+ let l,tree = cache.under_inspection in
+ let l,tree = closegty::l, add_to_th closegty tree closegty in
+ {cache with under_inspection = l,tree}
+ else cache in
+ let failures =
+ List.fold_left
+ (fun allfailures ((_,t),status) ->
debug_print ~depth
(lazy ("(re)considering goal " ^
(string_of_int g) ^" : "^ppterm status gty));
then depth, cache
else depth+1,loop_cache in
let cache = add_to_trace status ~depth cache t in
+ let cache = {cache with failures = allfailures} in
try
- auto_clusters flags signature cache depth status
- with Gaveup _ ->
+ auto_clusters flags signature cache depth status;
+ assert false;
+ with Gaveup fail ->
debug_print ~depth (lazy "Failed");
- ())
- alternatives;
- raise (debug_print(lazy "no more candidates"); Gaveup IntSet.empty)
+ fail)
+ cache.failures alternatives in
+ let failures =
+ if flags.last then
+ let newfail =
+ let dty = NCic.Appl [NCic.Implicit (`Typeof depth); ty] in
+ mk_cic_term ctx dty
+ in
+ prerr_endline ("FAILURE : " ^ ppterm status gty);
+ add_to_th newfail failures closegty
+ else failures in
+ debug_print ~depth (lazy "no more candidates");
+ raise (Gaveup failures)
;;
let int name l def =
let status = (status:> NTacStatus.tac_status) in
let goals = head_goals status#stack in
let status, facts = mk_th_cache status goals in
- let unit_eq = index_local_equations status#eq_cache status in
- let cache = init_cache ~facts ~unit_eq () in
+(* let unit_eq = index_local_equations status#eq_cache status in *)
+ let cache = init_cache ~facts () in
(* pp_th status facts; *)
(*
NDiscriminationTree.DiscriminationTree.iter status#auto_cache (fun p t ->
- debug_print (lazy(
+ (*debug_*)print (lazy(
NDiscriminationTree.NCicIndexable.string_of_path p ^ " |--> " ^
String.concat "\n " (List.map (
status#ppterm ~metasenv:[] ~context:[] ~subst:[])
(NDiscriminationTree.TermSet.elements t))
)));
*)
- let candidates =
+ (* To allow using Rels in the user-specified candidates, we need a context
+ * but in the case where multiple goals are open, there is no single context
+ * to type the Rels. At this time, we require that Rels be typed in the
+ * context of the first selected goal *)
+ let _,ctx,_ = current_goal ~single_goal:false status in
+ let status, candidates =
match univ with
- | None -> None
+ | None -> status, None
| Some l ->
- let to_Ast t =
- let status, res = disambiguate status [] t None in
- let _,res = term_of_cic_term status res (ctx_of res)
- in Ast.NCic res
- in Some (List.map to_Ast l)
- in
+ let to_Ast (st,l) t =
+ let st, res = disambiguate st ctx t None in
+ let st, res = term_of_cic_term st res (ctx_of res)
+ in (st, Ast.NCic res::l)
+ in
+ let status, l' = List.fold_left to_Ast (status,[]) l in
+ status, Some l'
+ in
let depth = int "depth" flags 3 in
let size = int "size" flags 10 in
let width = int "width" flags 4 (* (3+List.length goals)*) in
app_counter:= 0;
let rec up_to x y =
if x > y then
- (print(lazy
+ (debug_print(lazy
("TIME ELAPSED:"^string_of_float(Unix.gettimeofday()-.initial_time)));
debug_print(lazy
("Applicative nodes:"^string_of_int !app_counter));
| Proved (s,trace) ->
debug_print (lazy ("proved at depth " ^ string_of_int x));
List.iter (toref incr_uses statistics) trace;
+ let _ = debug_print (pptrace status trace) in
let trace = cleanup_trace s trace in
let _ = debug_print (pptrace status trace) in
let stack =
in
let s = s#set_stack stack in
trace_ref := trace;
- oldstatus#set_status s
+ oldstatus#set_status s
in
let s = up_to depth depth in
- debug_print (print_stat status statistics);
+ debug_print (print_stat status statistics);
debug_print(lazy
("TIME ELAPSED:"^string_of_float(Unix.gettimeofday()-.initial_time)));
debug_print(lazy
fast_eq_check_tac ~params
else auto_tac ~params ?trace_ref
;;
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+