X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fcomponents%2Ftactics%2Fauto.ml;h=3bec5b0444d47e53f6bab870eb6d6b5ad36dffd6;hb=750d027aedc76aac9def8885dc2bdb6ccdc049d9;hp=3c35013aa37a6b0923cc9868e8db2ff785cdc5d6;hpb=d0a1160d2bf67698ddcaa5f603f316ceb2e4bf96;p=helm.git diff --git a/helm/software/components/tactics/auto.ml b/helm/software/components/tactics/auto.ml index 3c35013aa..3bec5b044 100644 --- a/helm/software/components/tactics/auto.ml +++ b/helm/software/components/tactics/auto.ml @@ -26,10 +26,43 @@ open AutoTypes;; open AutoCache;; -let debug = false;; +let debug = true;; let debug_print s = - if debug then () else prerr_endline (Lazy.force s);; + if debug then prerr_endline (Lazy.force s);; +let elems = ref [] ;; + +(* closing a term w.r.t. its metavariables + very naif version: it does not take dependencies into account *) + +let naif_closure t metasenv context = + let metasenv = ProofEngineHelpers.sort_metasenv metasenv in + let n = List.length metasenv in + let what = List.map (fun (i,cc,ty) -> Cic.Meta(i,[])) metasenv in + let _,with_what = + List.fold_left + (fun (i,acc) (_,cc,ty) -> (i-1,Cic.Rel i::acc)) + (n,[]) metasenv + in + let t = CicSubstitution.lift n t in + let body = + ProofEngineReduction.replace_lifting + ~equality:(fun c t1 t2 -> + match t1,t2 with + | Cic.Meta(i,_),Cic.Meta(j,_) -> i = j + | _ -> false) + ~context ~what ~with_what ~where:t + in + let _, t = + List.fold_left + (fun (n,t) (_,cc,ty) -> + n-1, Cic.Lambda(Cic.Name ("x_"^string_of_int n), + CicSubstitution.lift n ty,t)) + (n-1,body) metasenv + in + t +;; + (* functions for retrieving theorems *) exception FillingFailure of AutoCache.cache * int @@ -37,7 +70,7 @@ exception FillingFailure of AutoCache.cache * int let rec unfold context = function | Cic.Prod(name,s,t) -> let t' = unfold ((Some (name,Cic.Decl s))::context) t in - Cic.Prod(name,s,t') + Cic.Prod(name,s,t') | t -> ProofEngineReduction.unfold context t let find_library_theorems dbd proof goal = @@ -52,19 +85,19 @@ let find_context_theorems context metasenv = let l,_ = List.fold_left (fun (res,i) ctxentry -> - match ctxentry with - | Some (_,Cic.Decl t) -> + match ctxentry with + | Some (_,Cic.Decl t) -> (Cic.Rel i, CicSubstitution.lift i t)::res,i+1 - | Some (_,Cic.Def (_,Some t)) -> + | Some (_,Cic.Def (_,Some t)) -> (Cic.Rel i, CicSubstitution.lift i t)::res,i+1 - | Some (_,Cic.Def (_,None)) -> - let t = Cic.Rel i in - let ty,_ = - CicTypeChecker.type_of_aux' - metasenv context t CicUniv.empty_ugraph + | Some (_,Cic.Def (_,None)) -> + let t = Cic.Rel i in + let ty,_ = + CicTypeChecker.type_of_aux' + metasenv context t CicUniv.empty_ugraph in - (t,ty)::res,i+1 - | _ -> res,i+1) + (t,ty)::res,i+1 + | _ -> res,i+1) ([],1) context in l @@ -84,7 +117,7 @@ let default_auto maxm _ _ cache _ _ _ _ = [],cache,maxm ;; let is_unit_equation context metasenv oldnewmeta term = let head, metasenv, args, newmeta = - ProofEngineHelpers.saturate_term oldnewmeta metasenv context term 0 + TermUtil.saturate_term oldnewmeta metasenv context term 0 in let propositional_args = HExtlib.filter_map @@ -99,13 +132,13 @@ let is_unit_equation context metasenv oldnewmeta term = CicReduction.are_convertible ~metasenv context sort (Cic.Sort Cic.Prop) u in - if b then Some i else None + if b then Some i else None | _ -> assert false) args in if propositional_args = [] then let newmetas = List.filter (fun (i,_,_) -> i >= oldnewmeta) metasenv in - Some (args,metasenv,newmetas,head,newmeta) + Some (args,metasenv,newmetas,head,newmeta) else None ;; @@ -115,7 +148,7 @@ let get_candidates universe cache t = in let debug_msg = (lazy ("candidates for " ^ (CicPp.ppterm t) ^ " = " ^ - (String.concat "\n" (List.map CicPp.ppterm candidates)))) in + (String.concat "\n" (List.map CicPp.ppterm candidates)))) in debug_print debug_msg; candidates ;; @@ -128,9 +161,9 @@ let only signature context t = if b then b else try - let ty' = unfold context ty in - let consts' = MetadataConstraints.constants_of ty' in - MetadataConstraints.UriManagerSet.subset consts' signature + let ty' = unfold context ty in + let consts' = MetadataConstraints.constants_of ty' in + MetadataConstraints.UriManagerSet.subset consts' signature with _-> false with _ -> false ;; @@ -145,15 +178,15 @@ let retrieve_equations signature universe cache context= match LibraryObjects.eq_URI() with | None -> [] | Some eq_uri -> - let eq_uri = UriManager.strip_xpointer eq_uri in - let fake= Cic.Meta(-1,[]) in - let fake_eq = Cic.Appl [Cic.MutInd (eq_uri,0, []);fake;fake;fake] in - let candidates = get_candidates universe cache fake_eq in + let eq_uri = UriManager.strip_xpointer eq_uri in + let fake= Cic.Meta(-1,[]) in + let fake_eq = Cic.Appl [Cic.MutInd (eq_uri,0, []);fake;fake;fake] in + let candidates = get_candidates universe cache fake_eq in (* defaults eq uris are built-in in auto *) let candidates = List.filter not_default_eq_term candidates in - let candidates = List.filter (only signature context) candidates in - List.iter (fun t -> prerr_endline (CicPp.ppterm t)) candidates; - candidates + let candidates = List.filter (only signature context) candidates in + List.iter (fun t -> debug_print (lazy (CicPp.ppterm t))) candidates; + candidates let build_equality bag head args proof newmetas maxmeta = match head with @@ -176,12 +209,12 @@ let partition_unit_equalities context metasenv newmeta bag equations = List.fold_left (fun (units,other,maxmeta)(t,ty) -> match is_unit_equation context metasenv maxmeta ty with - | Some (args,metasenv,newmetas,head,newmeta') -> - let maxmeta,equality = - build_equality bag head args t newmetas newmeta' in - equality::units,other,maxmeta - | None -> - units,(t,ty)::other,maxmeta) + | Some (args,metasenv,newmetas,head,newmeta') -> + let maxmeta,equality = + build_equality bag head args t newmetas newmeta' in + equality::units,other,maxmeta + | None -> + units,(t,ty)::other,maxmeta) ([],[],newmeta) equations let empty_tables = @@ -192,35 +225,35 @@ let empty_tables = let init_cache_and_tables dbd use_library paramod universe (proof, goal) = (* the local cache in initially empty *) let cache = AutoCache.cache_empty in - let _, metasenv, _, _ = proof in + let _, metasenv, _, _, _ = proof in let signature = MetadataQuery.signature_of metasenv goal in let newmeta = CicMkImplicit.new_meta metasenv [] in let _,context,_ = CicUtil.lookup_meta goal metasenv in let ct = find_context_theorems context metasenv in - prerr_endline - ("ho trovato nel contesto " ^ (string_of_int (List.length ct))); + debug_print + (lazy ("ho trovato nel contesto " ^ (string_of_int (List.length ct)))); let lt = if use_library then find_library_theorems dbd metasenv goal else [] in - prerr_endline - ("ho trovato nella libreria " ^ (string_of_int (List.length lt))); + debug_print + (lazy ("ho trovato nella libreria " ^ (string_of_int (List.length lt)))); let cache = cache_add_list cache context (ct@lt) in let equations = retrieve_equations signature universe cache context in - prerr_endline - ("ho trovato equazioni n. " ^ (string_of_int (List.length equations))); + debug_print + (lazy ("ho trovato equazioni n. "^(string_of_int (List.length equations)))); let eqs_and_types = HExtlib.filter_map (fun t -> - let ty,_ = - CicTypeChecker.type_of_aux' metasenv context t CicUniv.empty_ugraph in + let ty,_ = + CicTypeChecker.type_of_aux' metasenv context t CicUniv.empty_ugraph in (* retrieve_equations could also return flexible terms *) - if is_an_equality ty then Some(t,ty) - else - try + if is_an_equality ty then Some(t,ty) + else + try let ty' = unfold context ty in - if is_an_equality ty' then Some(t,ty') else None + if is_an_equality ty' then Some(t,ty') else None with _ -> None) (* catturare l'eccezione giusta di unfold *) equations in let bag = Equality.mk_equality_bag () in @@ -240,13 +273,13 @@ let init_cache_and_tables dbd use_library paramod universe (proof, goal) = if paramod then active,passive,newmeta else Saturation.pump_actives - context bag newmeta active passive (no+1) infinity + context bag newmeta active passive (no+1) infinity in (active,passive,bag),cache,newmeta let fill_hypothesis context metasenv oldnewmeta term tables (universe:Universe.universe) cache auto fast = let head, metasenv, args, newmeta = - ProofEngineHelpers.saturate_term oldnewmeta metasenv context term 0 + TermUtil.saturate_term oldnewmeta metasenv context term 0 in let propositional_args = HExtlib.filter_map @@ -300,7 +333,7 @@ let fill_hypothesis context metasenv oldnewmeta term tables (universe:Universe.u in let args = List.map (CicMetaSubst.apply_subst subst) args in let newm = CicMkImplicit.new_meta metasenv subst in - args,metasenv,newmetas,head,max newm newmeta) + args,metasenv,newmetas,head,max newm newmeta) substs, cache, newmeta in results,cache,newmeta @@ -318,45 +351,45 @@ let build_equalities auto context metasenv tables universe cache newmeta equatio let eqs,bag,newmeta = List.fold_left (fun (acc,bag,newmeta) (args,metasenv,newmetas,head,newmeta') -> - let maxmeta,equality = - build_equality bag head args t newmetas newmeta' + let maxmeta,equality = + build_equality bag head args t newmetas newmeta' in equality::acc,bag,maxmeta) ([],bag,newmeta) saturated in (eqs@facts, cache, newmeta) with FillingFailure (cache,newmeta) -> - (* if filling hypothesis fails we add the equation to - the cache *) - (facts,cache,newmeta) + (* if filling hypothesis fails we add the equation to + the cache *) + (facts,cache,newmeta) ) ([],cache,newmeta) equations let close_more tables maxmeta context status auto universe cache = let (active,passive,bag) = tables in let proof, goalno = status in - let _, metasenv,_,_ = proof in + let _, metasenv,_,_, _ = proof in let signature = MetadataQuery.signature_of metasenv goalno in let equations = retrieve_equations signature universe cache context in let eqs_and_types = HExtlib.filter_map (fun t -> - let ty,_ = - CicTypeChecker.type_of_aux' metasenv context t CicUniv.empty_ugraph in + let ty,_ = + CicTypeChecker.type_of_aux' metasenv context t CicUniv.empty_ugraph in (* retrieve_equations could also return flexible terms *) - if is_an_equality ty then Some(t,ty) else None) + if is_an_equality ty then Some(t,ty) else None) equations in let units, cache, maxm = build_equalities auto context metasenv tables universe cache maxmeta eqs_and_types in - prerr_endline (">>>>>>> gained from a new context saturation >>>>>>>>>" ^ - string_of_int maxm); + debug_print (lazy (">>>>>>> gained from a new context saturation >>>>>>>>>" ^ + string_of_int maxm)); List.iter - (fun e -> prerr_endline (Equality.string_of_equality e)) + (fun e -> debug_print (lazy (Equality.string_of_equality e))) units; - prerr_endline ">>>>>>>>>>>>>>>>>>>>>>"; + debug_print (lazy ">>>>>>>>>>>>>>>>>>>>>>"); let passive = Saturation.add_to_passive units passive in let no = List.length units in - prerr_endline ("No = " ^ (string_of_int no)); + debug_print (lazy ("No = " ^ (string_of_int no))); let active,passive,newmeta = Saturation.pump_actives context bag maxm active passive (no+1) infinity in @@ -368,7 +401,7 @@ let find_context_equalities let module C = Cic in let module S = CicSubstitution in let module T = CicTypeChecker in - let _,metasenv,_,_ = proof in + let _,metasenv,_,_, _ = proof in let newmeta = max (ProofEngineHelpers.new_meta_of_proof ~proof) maxmeta in (* if use_auto is true, we try to close the hypothesis of equational statements using auto; a naif, and probably wrong approach *) @@ -430,13 +463,13 @@ let new_metasenv_and_unify_and_t context term' ty termty goal_arity = let (consthead,newmetasenv,arguments,_) = - ProofEngineHelpers.saturate_term newmeta' metasenv' context termty goal_arity in + TermUtil.saturate_term newmeta' metasenv' context termty goal_arity in let term'' = match arguments with [] -> term' | _ -> Cic.Appl (term'::arguments) in let proof',oldmetasenv = - let (puri,metasenv,pbo,pty) = proof in - (puri,newmetasenv,pbo,pty),metasenv + let (puri,metasenv,pbo,pty, attrs) = proof in + (puri,newmetasenv,pbo,pty, attrs),metasenv in let goal_for_paramod = match LibraryObjects.eq_URI () with @@ -446,13 +479,13 @@ let new_metasenv_and_unify_and_t in let newmeta = CicMkImplicit.new_meta newmetasenv (*subst*) [] in let metasenv_for_paramod = (newmeta,context,goal_for_paramod)::newmetasenv in - let proof'' = let uri,_,p,ty = proof' in uri,metasenv_for_paramod,p,ty in + let proof'' = let uri,_,p,ty, attrs = proof' in uri,metasenv_for_paramod,p,ty, attrs in let irl = CicMkImplicit.identity_relocation_list_for_metavariable context in let proof''',goals = ProofEngineTypes.apply_tactic (EqualityTactics.rewrite_tac ~direction:`RightToLeft ~pattern:(ProofEngineTypes.conclusion_pattern None) - (Cic.Meta(newmeta,irl))) + (Cic.Meta(newmeta,irl)) []) (proof'',goal) in let goal = match goals with [g] -> g | _ -> assert false in @@ -471,7 +504,7 @@ let new_metasenv_and_unify_and_t | Some (_,proof''''',_), active,passive,_ -> subst,proof''''', ProofEngineHelpers.compare_metasenvs ~oldmetasenv - ~newmetasenv:(let _,m,_,_ = proof''''' in m), active, passive + ~newmetasenv:(let _,m,_,_, _ = proof''''' in m), active, passive ;; let rec count_prods context ty = @@ -483,7 +516,7 @@ let apply_smart ~dbd ~term ~subst ~universe ?tables flags (proof, goal) = let module T = CicTypeChecker in let module R = CicReduction in let module C = Cic in - let (_,metasenv,_,_) = proof in + let (_,metasenv,_,_, _) = proof in let metano,context,ty = CicUtil.lookup_meta goal metasenv in let newmeta = CicMkImplicit.new_meta metasenv subst in let exp_named_subst_diff,newmeta',newmetasenvfragment,term' = @@ -550,17 +583,17 @@ let assert_proof_is_valid proof metasenv context goalty = begin let ty,u = typeof metasenv context proof CicUniv.empty_ugraph in let b,_ = CicReduction.are_convertible context ty goalty u in - if not b then - begin - let names = + if not b then + begin + let names = List.map (function None -> None | Some (x,_) -> Some x) context - in - prerr_endline ("PROOF:" ^ CicPp.pp proof names); - prerr_endline ("PROOFTY:" ^ CicPp.pp ty names); - prerr_endline ("GOAL:" ^ CicPp.pp goalty names); - prerr_endline ("MENV:" ^ CicMetaSubst.ppmetasenv [] metasenv); - end; - assert b + in + debug_print (lazy ("PROOF:" ^ CicPp.pp proof names)); + debug_print (lazy ("PROOFTY:" ^ CicPp.pp ty names)); + debug_print (lazy ("GOAL:" ^ CicPp.pp goalty names)); + debug_print (lazy ("MENV:" ^ CicMetaSubst.ppmetasenv [] metasenv)); + end; + assert b end else () ;; @@ -568,15 +601,11 @@ let assert_proof_is_valid proof metasenv context goalty = let assert_subst_are_disjoint subst subst' = if debug then assert(List.for_all - (fun (i,_) -> List.for_all (fun (j,_) -> i<>j) subst') - subst) + (fun (i,_) -> List.for_all (fun (j,_) -> i<>j) subst') + subst) else () ;; -let sort_new_elems = - List.sort (fun (_,_,l1) (_,_,l2) -> List.length l1 - List.length l2) -;; - let split_goals_in_prop metasenv subst gl = List.partition (fun g -> @@ -584,14 +613,14 @@ let split_goals_in_prop metasenv subst gl = try let sort,u = typeof ~subst metasenv context ty ugraph in let b,_ = - CicReduction.are_convertible - ~subst ~metasenv context sort (Cic.Sort Cic.Prop) u in - b + CicReduction.are_convertible + ~subst ~metasenv context sort (Cic.Sort Cic.Prop) u in + b with | CicTypeChecker.AssertFailure s | CicTypeChecker.TypeCheckerFailure s -> debug_print - (lazy (ppterm context (CicMetaSubst.apply_subst subst ty))); + (lazy ("NON TIPA" ^ ppterm context (CicMetaSubst.apply_subst subst ty))); debug_print s; false) (* FIXME... they should type! *) @@ -609,7 +638,7 @@ let split_goals_with_metas metasenv subst gl = let order_new_goals metasenv subst open_goals ppterm = let prop,rest = split_goals_in_prop metasenv subst open_goals in - let open_prop,closed_prop = split_goals_with_metas metasenv subst prop in + let closed_prop, open_prop = split_goals_with_metas metasenv subst prop in let open_goals = (List.map (fun x -> x,P) (closed_prop @ open_prop)) @ @@ -623,10 +652,10 @@ let order_new_goals metasenv subst open_goals ppterm = debug_print (lazy (" OPEN: "^ String.concat "\n" (List.map - (function - | (i,t,P) -> string_of_int i (* ":"^ppterm t^ "Prop" *) - | (i,t,T) -> string_of_int i ) (* ":"^ppterm t^ "Type")*) - tys))); + (function + | (i,t,P) -> string_of_int i ^ ":"^ppterm t^ "Prop" + | (i,t,T) -> string_of_int i ^ ":"^ppterm t^ "Type") + tys))); open_goals ;; @@ -635,6 +664,355 @@ let is_an_equational_goal = function | _ -> false ;; +(* +let prop = function (_,depth,P) -> depth < 9 | _ -> false;; +*) + +let calculate_timeout flags = + if flags.timeout = 0. then + (debug_print (lazy "AUTO WITH NO TIMEOUT"); + {flags with timeout = infinity}) + else + flags +;; +let is_equational_case goalty flags = + let ensure_equational t = + if is_an_equational_goal t then true + else false + (* + let msg="Not an equational goal.\nYou cant use the paramodulation flag"in + raise (ProofEngineTypes.Fail (lazy msg)) + *) + in + (flags.use_paramod && is_an_equational_goal goalty) || + (flags.use_only_paramod && ensure_equational goalty) +;; +(* +let cache_add_success sort cache k v = + if sort = P then cache_add_success cache k v else cache_remove_underinspection + cache k +;; +*) + +type menv = Cic.metasenv +type subst = Cic.substitution +type goal = ProofEngineTypes.goal * int * AutoTypes.sort +let candidate_no = ref 0;; +type candidate = int * Cic.term +type cache = AutoCache.cache +type tables = + Saturation.active_table * Saturation.passive_table * Equality.equality_bag + +type fail = + (* the goal (mainly for depth) and key of the goal *) + goal * AutoCache.cache_key +type op = + (* goal has to be proved *) + | D of goal + (* goal has to be cached as a success obtained using candidate as the first + * step *) + | S of goal * AutoCache.cache_key * candidate * int +type elem = + (* menv, subst, size, operations to do, failures to cache if any op fails *) + menv * subst * int * op list * fail list +type status = + (* list of computations that may lead to the solution: all op list will + * end with the same (S(g,_)) *) + elem list +type auto_result = + (* menv, subst, alternatives, tables, cache, maxmeta *) + | Proved of menv * subst * elem list * tables * cache * int + | Gaveup of tables * cache * int + + +(* the status exported to the external observer *) +type auto_status = + (* context, (goal,candidate) list, and_list, history *) + Cic.context * (Cic.term * (int * Cic.term) list) list * + Cic.term list * Cic.term list + +let d_prefix l = + let rec aux acc = function + | (D g)::tl -> aux (acc@[g]) tl + | _ -> acc + in + aux [] l +;; +let prop_only l = + List.filter (function (_,_,P) -> true | _ -> false) l +;; + +let d_goals l = + let rec aux acc = function + | (D g)::tl -> aux (acc@[g]) tl + | (S _)::tl -> aux acc tl + | [] -> acc + in + aux [] l +;; +let calculate_goal_ty (goalno,_,_) s m = + try + let _,cc,goalty = CicUtil.lookup_meta goalno m in + (* XXX applicare la subst al contesto? *) + Some (cc, CicMetaSubst.apply_subst s goalty) + with CicUtil.Meta_not_found i when i = goalno -> None +;; +let calculate_closed_goal_ty (goalno,_,_) s = + try + let cc,_,goalty = List.assoc goalno s in + (* XXX applicare la subst al contesto? *) + Some (cc, CicMetaSubst.apply_subst s goalty) + with Not_found -> None +;; +let pp_status ctx status = + if debug then + let names = Utils.names_of_context ctx in + let pp x = + let x = + ProofEngineReduction.replace + ~equality:(fun a b -> match b with Cic.Meta _ -> true | _ -> false) + ~what:[Cic.Rel 1] ~with_what:[Cic.Implicit None] ~where:x + in + CicPp.pp x names + in + let string_of_do m s (gi,_,_ as g) d = + match calculate_goal_ty g s m with + | Some (_,gty) -> Printf.sprintf "D(%d, %s, %d)" gi (pp gty) d + | None -> Printf.sprintf "D(%d, _, %d)" gi d + in + let string_of_s m su k (ci,ct) gi = + Printf.sprintf "S(%d, %s, %s, %d)" gi (pp k) (pp ct) ci + in + let string_of_ol m su l = + String.concat " | " + (List.map + (function + | D (g,d,s) -> string_of_do m su (g,d,s) d + | S ((gi,_,_),k,c,_) -> string_of_s m su k c gi) + l) + in + let string_of_fl m s fl = + String.concat " | " + (List.map (fun ((i,_,_),ty) -> + Printf.sprintf "(%d, %s)" i (pp ty)) fl) + in + let rec aux = function + | [] -> () + | (m,s,ol,fl)::tl -> + Printf.eprintf "< [%s] ;;; [%s]>\n" + (string_of_ol m s ol) (string_of_fl m s fl); + aux tl + in + Printf.eprintf "-------------------------- status -------------------\n"; + aux status; + Printf.eprintf "-----------------------------------------------------\n"; +;; + +let auto_status = ref [] ;; +let auto_context = ref [];; +let in_pause = ref false;; +let pause b = in_pause := b;; +let cond = Condition.create ();; +let mutex = Mutex.create ();; +let hint = ref None;; + +let step _ = Condition.signal cond;; +let give_hint n = hint := Some n;; + +let check_pause _ = + if !in_pause then + begin + Mutex.lock mutex; + Condition.wait cond mutex; + Mutex.unlock mutex + end +;; + +let get_auto_status _ = + let status = !auto_status in +(* + debug_print "status:"; + List.iter (fun ((cand,ty),_,_,gl) -> + Printf.eprintf "cand: %s; ty: %s; gl: %d\n" + (CicPp.ppterm cand) (CicPp.ppterm ty) (List.length gl)) status; +*) + let and_list,elems,last = + match status with + | [] -> [],[],[] + | (m,s,_,gl,fail)::tl -> + let and_list = + List.map snd + (HExtlib.filter_map + (fun g -> calculate_goal_ty g s m) (d_goals gl)) + in + let rows = + (* these are the S goalsin the or list *) + let orlist = + List.map + (fun (m,s,_,gl,fail) -> + HExtlib.filter_map + (function S (g,k,c,_) -> Some (g,k,c) | _ -> None) gl) + status + in + (* this function eats id from a list l::[id,x] returning x, l *) + let eat_tail_if_eq id l = + match (List.rev l) with + | ((id1,_,_),k1,c)::tl when id = id1 -> Some c, List.rev tl + | _ -> None, l + in + let eat_in_parallel id l = + let rec aux (eaten, new_l as acc) l = + match l with + | [] -> acc + | l::tl -> + match eat_tail_if_eq id l with + | None, l -> aux (eaten, new_l@[l]) tl + | Some t,l -> aux (eaten@[t], new_l@[l]) tl + in + aux ([],[]) l + in + let rec eat_all rows l = + match l with + | [] -> rows + | elem::or_list -> + match List.rev elem with + | ((to_eat,_,_),k,_)::next_lunch -> + let eaten, l = eat_in_parallel to_eat l in + let eaten = HExtlib.list_uniq eaten in + let rows = rows @ [k,eaten] in + eat_all rows l + | [] -> eat_all rows or_list + in + eat_all [] orlist + in + let history = + HExtlib.filter_map + (function (S (_,_,(_,c),_)) -> Some c | _ -> None) + gl + in +(* let rows = List.filter (fun (_,l) -> l <> []) rows in *) + and_list, rows, history + in + !auto_context, elems, and_list, last +;; + +(* Works if there is no dependency over proofs *) +let is_a_green_cut goalty = + CicUtil.is_meta_closed goalty +;; +let rec first_s = function + | (D _)::tl -> first_s tl + | (S (g,k,c,s))::tl -> Some ((g,k,c,s),tl) + | [] -> None +;; +let list_union l1 l2 = + (* TODO ottimizzare compare *) + HExtlib.list_uniq (List.sort compare (l1 @ l1)) +;; +let eat_head todo id fl orlist = + let rec aux acc = function + | [] -> [], acc + | (m, s, _, todo1, fl1)::tl as orlist -> + let rec aux1 todo1 = + match first_s todo1 with + | None -> orlist, acc + | Some (((gno,_,_),_,_,_), todo11) -> + (* TODO confronto tra todo da ottimizzare *) + if gno = id && todo11 = todo then + aux (list_union fl1 acc) tl + else + aux1 todo11 + in + aux1 todo1 + in + aux fl orlist +;; +let close_proof p ty menv context = + let metas = + List.map fst (CicUtil.metas_of_term p @ CicUtil.metas_of_term ty) + in + let menv = List.filter (fun (i,_,_) -> List.exists ((=)i) metas) menv in + naif_closure p menv context +;; +(* XXX capire bene quando aggiungere alla cache *) +let add_to_cache_and_del_from_orlist_if_green_cut + g s m cache key todo orlist fl ctx size minsize += + let cache = cache_remove_underinspection cache key in + (* prima per fare la irl usavamo il contesto vero e proprio e non quello + * canonico! XXX *) + match calculate_closed_goal_ty g s with + | None -> assert false + | Some (canonical_ctx , gty) -> + let goalno,depth,sort = g in + assert (sort = P); + let irl = mk_irl canonical_ctx in + let goal = Cic.Meta(goalno, irl) in + let proof = CicMetaSubst.apply_subst s goal in + let green_proof, closed_proof = + let b = is_a_green_cut proof in + if not b then + b, (* close_proof proof gty m ctx *) proof + else + b, proof + in + debug_print (lazy ("TENTATIVE CACHE: " ^ CicPp.ppterm key)); + if is_a_green_cut key then + (* if the initia goal was closed, we cut alternatives *) + let _ = debug_print (lazy ("MANGIO: " ^ string_of_int goalno)) in + let orlist, fl = eat_head todo goalno fl orlist in + let cache = + if size < minsize then + (debug_print (lazy ("NO CACHE: 2 (size <= minsize)"));cache) + else + (* if the proof is closed we cache it *) + if green_proof then cache_add_success cache key proof + else (* cache_add_success cache key closed_proof *) + (debug_print (lazy ("NO CACHE: (no gree proof)"));cache) + in + cache, orlist, fl + else + let cache = + debug_print (lazy ("TENTATIVE CACHE: " ^ CicPp.ppterm gty)); + if size < minsize then + (debug_print (lazy ("NO CACHE: (size <= minsize)")); cache) else + (* if the substituted goal and the proof are closed we cache it *) + if is_a_green_cut gty then + if green_proof then cache_add_success cache gty proof + else (* cache_add_success cache gty closed_proof *) + (debug_print (lazy ("NO CACHE: (no green proof (gty))"));cache) + else (* + try + let ty, _ = + CicTypeChecker.type_of_aux' ~subst:s + m ctx closed_proof CicUniv.oblivion_ugraph + in + if is_a_green_cut ty then + cache_add_success cache ty closed_proof + else cache + with + | CicTypeChecker.TypeCheckerFailure _ ->*) + (debug_print (lazy ("NO CACHE: (no green gty )"));cache) + in + cache, orlist, fl +;; +let close_failures (fl : fail list) (cache : cache) = + List.fold_left + (fun cache ((gno,depth,_),gty) -> + debug_print (lazy ("FAIL: INDUCED: " ^ string_of_int gno)); + cache_add_failure cache gty depth) + cache fl +;; +let put_in_subst subst metasenv (goalno,_,_) canonical_ctx t ty = + let entry = goalno, (canonical_ctx, t,ty) in + assert_subst_are_disjoint subst [entry]; + let subst = entry :: subst in + let metasenv = CicMetaSubst.apply_subst_metasenv subst metasenv in + subst, metasenv +;; +let mk_fake_proof metasenv (goalno,_,_) goalty context = + None,metasenv,Cic.Meta(goalno,mk_irl context),goalty, [] +;; let equational_case tables maxm cache depth fake_proof goalno goalty subst context flags @@ -644,57 +1022,58 @@ let equational_case let status = (fake_proof,goalno) in if flags.use_only_paramod then begin - prerr_endline ("PARAMODULATION SU: " ^ - string_of_int goalno ^ " " ^ ppterm goalty ); - let goal_steps, saturation_steps, timeout = max_int,max_int,flags.timeout in - match - Saturation.given_clause bag maxm status active passive - goal_steps saturation_steps timeout - with - | None, active, passive, maxmeta -> - [], (active,passive,bag), cache, maxmeta, flags - | Some(subst',(_,metasenv,proof,_),open_goals),active,passive,maxmeta -> - assert_subst_are_disjoint subst subst'; - let subst = subst@subst' in - let open_goals = order_new_goals metasenv subst open_goals ppterm in - let open_goals = List.map (fun (x,sort) -> x,depth,sort) open_goals in - [metasenv,subst,open_goals], (active,passive,bag), - cache, maxmeta, flags + debug_print (lazy ("PARAMODULATION SU: " ^ + string_of_int goalno ^ " " ^ ppterm goalty )); + let goal_steps, saturation_steps, timeout = + max_int,max_int,flags.timeout + in + match + Saturation.given_clause bag maxm status active passive + goal_steps saturation_steps timeout + with + | None, active, passive, maxmeta -> + [], (active,passive,bag), cache, maxmeta, flags + | Some(subst',(_,metasenv,proof,_, _),open_goals),active, + passive,maxmeta -> + assert_subst_are_disjoint subst subst'; + let subst = subst@subst' in + let open_goals = + order_new_goals metasenv subst open_goals ppterm + in + let open_goals = + List.map (fun (x,sort) -> x,depth-1,sort) open_goals + in + incr candidate_no; + [(!candidate_no,proof),metasenv,subst,open_goals], + (active,passive,bag), + cache, maxmeta, flags end else begin - prerr_endline ("SUBSUMPTION SU: " ^ string_of_int goalno ^ " " ^ ppterm goalty ); - let res, maxmeta = Saturation.all_subsumed bag maxm status active passive in + debug_print + (lazy + ("SUBSUMPTION SU: " ^ string_of_int goalno ^ " " ^ ppterm goalty)); + let res, maxmeta = + Saturation.all_subsumed bag maxm status active passive + in assert (maxmeta >= maxm); - let res' = - List.map - (fun subst',(_,metasenv,proof,_),open_goals -> - assert_subst_are_disjoint subst subst'; - let subst = subst@subst' in - let open_goals = order_new_goals metasenv subst open_goals ppterm in - let open_goals = List.map (fun (x,sort) -> x,depth,sort) open_goals in - metasenv,subst,open_goals) - res in - res', (active,passive,bag), cache, maxmeta, flags + let res' = + List.map + (fun subst',(_,metasenv,proof,_, _),open_goals -> + assert_subst_are_disjoint subst subst'; + let subst = subst@subst' in + let open_goals = + order_new_goals metasenv subst open_goals ppterm + in + let open_goals = + List.map (fun (x,sort) -> x,depth-1,sort) open_goals + in + incr candidate_no; + (!candidate_no,proof),metasenv,subst,open_goals) + res + in + res', (active,passive,bag), cache, maxmeta, flags end - -(* - let active,passive,bag,cache,maxmeta,flags,goal_steps,saturation_steps,timeout = - given_clause_params - tables maxm auto cache subst flags context status in - match - Saturation.given_clause bag maxmeta status active passive - goal_steps saturation_steps timeout - with - | None, active, passive, maxmeta -> - None, (active,passive,bag), cache, maxmeta, flags - | Some(subst',(_,metasenv,proof,_),open_goals),active,passive,maxmeta -> - assert_subst_are_disjoint subst subst'; - let subst = subst@subst' in - let open_goals = order_new_goals metasenv subst open_goals ppterm in - let open_goals = List.map (fun (x,sort) -> x,depth,sort) open_goals in - Some [metasenv,subst,open_goals], (active,passive,bag), cache, maxmeta, flags -*) ;; let try_candidate @@ -702,22 +1081,24 @@ let try_candidate = let ppterm = ppterm context in try - let subst', ((_,metasenv,_,_), open_goals), maxmeta = + let subst', ((_,metasenv,_,_, _), open_goals), maxmeta = PrimitiveTactics.apply_with_subst ~maxmeta:maxm ~term:cand ~subst (fake_proof,goalno) in debug_print (lazy (" OK: " ^ ppterm cand)); let metasenv = CicRefine.pack_coercion_metasenv metasenv in - assert_subst_are_disjoint subst subst'; - let subst = subst@subst' in + let subst = subst' in let open_goals = order_new_goals metasenv subst open_goals ppterm in let open_goals = List.map (fun (x,sort) -> x,depth-1,sort) open_goals in - Some (metasenv,subst,open_goals), tables , maxmeta + incr candidate_no; + Some ((!candidate_no,cand),metasenv,subst,open_goals), tables , maxmeta with - | ProofEngineTypes.Fail s -> - (*debug_print(" KO: "^Lazy.force s);*)None,tables, maxm - | CicUnification.Uncertain s -> - (*debug_print(" BECCATO: "^Lazy.force s);*)None,tables, maxm + | ProofEngineTypes.Fail s -> None,tables, maxm + | CicUnification.Uncertain s -> None,tables, maxm +;; + +let sort_new_elems = + List.sort (fun (_,_,_,l1) (_,_,_,l2) -> List.length l1 - List.length l2) ;; let applicative_case @@ -740,90 +1121,235 @@ let applicative_case elems, tables, cache, maxm ;; -(* Works if there is no dependency over proofs *) -let is_a_green_cut goalty = - CicUtil.is_meta_closed goalty +let equational_and_applicative_case + universe flags m s g gty tables cache maxm context += + let goalno, depth, sort = g in + let fake_proof = mk_fake_proof m g gty context in + if is_equational_case gty flags then + let elems,tables,cache,maxm1, flags = + equational_case tables maxm cache + depth fake_proof goalno gty s context flags + in + let maxm = maxm1 in + let more_elems, tables, cache, maxm1 = + if flags.use_only_paramod then + [],tables, cache, maxm + else + applicative_case + tables maxm depth s fake_proof goalno + gty m context universe cache + in + let maxm = maxm1 in + elems@more_elems, tables, cache, maxm, flags + else + let elems, tables, cache, maxm = + applicative_case tables maxm depth s fake_proof goalno + gty m context universe cache + in + elems, tables, cache, maxm, flags ;; - -let prop = function (_,_,P) -> true | _ -> false;; -let calculate_timeout flags = - if flags.timeout = 0. then - (prerr_endline "AUTO WITH NO TIMEOUT";{flags with timeout = infinity}) - else - flags +let rec first_s_cand = function + | [] -> 0 + | S (_,_,(i,_),_):: _ -> i + | _::tl -> first_s_cand tl ;; -let is_equational_case goalty flags = - let ensure_equational t = - if is_an_equational_goal t then true - else false - (* - let msg="Not an equational goal.\nYou cant use the paramodulation flag"in - raise (ProofEngineTypes.Fail (lazy msg)) - *) - in - (flags.use_paramod && is_an_equational_goal goalty) || - (flags.use_only_paramod && ensure_equational goalty) +let remove_s_from_fl (id,_,_) (fl : fail list) = + let rec aux = function + | [] -> [] + | ((id1,_,_),_)::tl when id = id1 -> tl + | hd::tl -> hd :: aux tl + in + aux fl ;; -let cache_add_success sort cache k v = - if sort = P then cache_add_success cache k v else cache_remove_underinspection - cache k +let auto_main tables maxm context flags universe cache elems = + auto_context := context; + let rec aux tables maxm flags cache (elems : status) = +(* pp_status context elems; *) + match elems with + | [] -> + (* complete failure *) + Gaveup (tables, cache, maxm) + | (m, s, _, [],_)::orlist -> + (* complete success *) + Proved (m, s, orlist, tables, cache, maxm) + | (m, s, size, (D (_,_,T))::todo, fl)::orlist -> + (* skip since not Prop, don't even check if closed by side-effect *) + aux tables maxm flags cache ((m, s, size, todo, fl)::orlist) + | (m, s, size, (S(g, key, c,minsize))::todo, fl)::orlist -> + (* partial success, cache g and go on *) + let cache, orlist, fl = + add_to_cache_and_del_from_orlist_if_green_cut + g s m cache key todo orlist fl context size minsize + in + debug_print (lazy (AutoCache.cache_print context cache)); + let fl = remove_s_from_fl g fl in + aux tables maxm flags cache ((m, s, size, todo, fl)::orlist) + | (m, s, size, todo, fl)::orlist + when List.length(prop_only (d_goals todo)) > flags.maxwidth -> + debug_print (lazy ("FAIL: WIDTH")); + (* too many goals in and generated by last th *) + let cache = close_failures fl cache in + aux tables maxm flags cache orlist + | (m, s, size, todo, fl)::orlist + when size > flags.maxsize -> + debug_print (lazy ("FAIL: SIZE")); + (* we already have a too large proof term *) + let cache = close_failures fl cache in + aux tables maxm flags cache orlist + | _ when Unix.gettimeofday () > flags.timeout -> + (* timeout *) + debug_print (lazy ("FAIL: SIZE")); + Gaveup (tables, cache, maxm) + | (m, s, size, (D (gno,depth,P as g))::todo, fl)::orlist as status -> + (* attack g *) + match calculate_goal_ty g s m with + | None -> + (* closed by side effect *) + debug_print (lazy ("SUCCESS: SIDE EFFECT: " ^ string_of_int gno)); + aux tables maxm flags cache ((m,s,size,todo, fl)::orlist) + | Some (canonical_ctx, gty) -> + (* still to be proved *) + debug_print (lazy ("EXAMINE: "^CicPp.ppterm gty)); + debug_print (lazy (AutoCache.cache_print context cache)); + match cache_examine cache gty with + | Failed_in d when d >= depth -> + (* fail depth *) + debug_print (lazy ("FAIL: DEPTH (cache): "^string_of_int gno)); + let cache = close_failures fl cache in + aux tables maxm flags cache orlist + | UnderInspection -> + (* fail loop *) + debug_print (lazy ("FAIL: LOOP: " ^ string_of_int gno)); + let cache = close_failures fl cache in + aux tables maxm flags cache orlist + | Succeded t -> + debug_print (lazy ("SUCCESS: CACHE HIT: " ^ string_of_int gno)); + let s, m = put_in_subst s m g canonical_ctx t gty in + aux tables maxm flags cache ((m, s, size, todo, fl)::orlist) + | Notfound + | Failed_in _ when depth > 0 -> + (match !hint with + | Some i when first_s_cand todo <> i -> + aux tables maxm flags cache orlist + | _ -> hint := None; + (* more depth or is the first time we see the goal *) + let cache = cache_add_underinspection cache gty depth in + auto_status := status; + check_pause (); + debug_print + (lazy ("INSPECTING: " ^ + string_of_int gno ^ "("^ string_of_int size ^ "): "^CicPp.ppterm gty)); + (* elems are possible computations for proving gty *) + let elems, tables, cache, maxm, flags = + equational_and_applicative_case + universe flags m s g gty tables cache maxm context + in + if elems = [] then + (* this goal has failed *) + let cache = close_failures ((g,gty)::fl) cache in + aux tables maxm flags cache orlist + else + (* elems = (cand,m,s,gl) *) + let size_gl l = List.length + (List.filter (function (_,_,P) -> true | _ -> false) l) + in + let elems = + let inj_gl gl = List.map (fun g -> D g) gl in + let rec map = function + | [] -> assert false + | (cand,m,s,gl)::[] -> + (* in the last one we add the failure *) + let todo = inj_gl gl @ (S(g,gty,cand,size+1))::todo in + (* we are the last in OR, we fail on g and + * also on all failures implied by g *) + (m,s, size + size_gl gl, todo, (g,gty)::fl) :: orlist + | (cand,m,s,gl)::tl -> + (* we add the S step after gl and before todo *) + let todo = inj_gl gl @ (S(g,gty,cand,size+1))::todo in + (* since we are not the last in OR, we do not + * imply failures *) + (m,s, size + size_gl gl, todo, []) :: map tl + in + map elems + in + aux tables maxm flags cache elems) + | _ -> + (* no more depth *) + debug_print (lazy ("FAIL: DEPTH: " ^ string_of_int gno)); + let cache = close_failures fl cache in + aux tables maxm flags cache orlist + in + (aux tables maxm flags cache elems : auto_result) ;; - + +(* let rec auto_main tables maxm context flags elems universe cache = + auto_context := context; let flags = calculate_timeout flags in let ppterm = ppterm context in let irl = mk_irl context in - let rec aux flags tables maxm cache = function (* elems in OR *) + let rec aux flags tables maxm cache elems status = + match elems with (* elems in OR *) | [] -> Fail "no more steps can be done", tables, cache, maxm (*COMPLETE FAILURE*) - | (metasenv,subst,[])::tl -> - Success (metasenv,subst,tl), tables, cache,maxm (* solution::cont *) - | (metasenv,subst,goals)::tl when + | (p ,metasenv,subst,[])::tl -> + Success (p,metasenv,subst,tl), tables, cache,maxm (* solution::cont *) + | (_,metasenv,subst,goals)::tl when List.length (List.filter prop goals) > flags.maxwidth -> debug_print - (lazy (" FAILURE(width): " ^ string_of_int (List.length goals))); - aux flags tables maxm cache tl (* FAILURE (width) *) - | (metasenv,subst,((goalno,depth,sort) as elem)::gl)::tl -> + (lazy (" FAILURE(width): " ^ string_of_int (List.length goals))); + aux flags tables maxm cache tl (List.tl status) (* FAILURE (width) *) + | (p,metasenv,subst,((goalno,depth,sort) as elem)::gl)::tl -> + let (_,_,_,_::gl_status)::tl_status = status in if Unix.gettimeofday() > flags.timeout then Fail "timeout",tables,cache,maxm else try let _,cc,goalty = CicUtil.lookup_meta goalno metasenv in + let id,_,_ = p in debug_print - (lazy ("INSPECTING " ^ string_of_int goalno^ ":"^ppterm goalty)); + (lazy ("INSPECTING " ^ string_of_int goalno^ + ":"^"(id="^string_of_int id^")"^ppterm goalty ^ + "with depth"^string_of_int depth)); debug_print (lazy (AutoCache.cache_print context cache)); - if sort = T && tl <> [] then (* FIXME!!!! *) + if sort = T (* && tl <> []*) then (debug_print - (lazy (" FAILURE(not in prop)")); - aux flags tables maxm cache tl (* FAILURE (not in prop) *)) + (lazy (" FAILURE(not in prop)")); + aux flags tables maxm cache ((p,metasenv,subst,gl)::tl) + ((p,metasenv,subst,gl)::tl_status)) else - match aux_single flags tables maxm universe cache metasenv subst elem goalty cc with + match aux_single flags tables maxm universe cache metasenv subst elem + goalty cc gl_status tl_status p with | Fail s, tables, cache, maxm' -> let maxm = maxm' in debug_print (lazy - (" FAIL "^s^": "^string_of_int goalno^":"^ppterm goalty)); + (" FAIL "^s^": "^string_of_int goalno^":"^ppterm goalty)); let cache = - if flags.dont_cache_failures then + if flags.dont_cache_failures or s = "hint" then cache_remove_underinspection cache goalty - else cache_add_failure cache goalty depth + else + cache_add_failure cache goalty depth in - aux flags tables maxm cache tl - | Success (metasenv,subst,others), tables, cache, maxm' -> + aux flags tables maxm cache tl tl_status + | Success (p1,metasenv,subst,others), tables, cache, maxm' -> let maxm = maxm' in (* others are alternatives in OR *) try let goal = Cic.Meta(goalno,irl) in let proof = CicMetaSubst.apply_subst subst goal in debug_print - (lazy ("DONE: " ^ ppterm goalty^" with: "^ppterm proof)); + (lazy ("DONE: " ^ ppterm goalty^" with: "^ppterm proof)); if is_a_green_cut goalty then - (assert_proof_is_valid proof metasenv context goalty; + (* assert_proof_is_valid proof metasenv context goalty; *) let cache = cache_add_success sort cache goalty proof in - aux flags tables maxm cache ((metasenv,subst,gl)::tl)) + aux flags tables maxm cache ((p,metasenv,subst,gl)::tl) + ((p,metasenv,subst,gl)::tl_status) + else (let goalty = CicMetaSubst.apply_subst subst goalty in - assert_proof_is_valid proof metasenv context goalty; + (* assert_proof_is_valid proof metasenv context goalty; *) let cache = if is_a_green_cut goalty then cache_add_success sort cache goalty proof @@ -832,19 +1358,32 @@ let rec auto_main tables maxm context flags elems universe cache = in let others = List.map - (fun (metasenv,subst,goals) -> (metasenv,subst,goals@gl)) + (fun (p,metasenv,subst,goals) -> + (p,metasenv,subst,goals@gl)) others in - aux flags tables maxm cache ((metasenv,subst,gl)::others@tl)) + aux flags tables maxm cache + ((p,metasenv,subst,gl)::others@tl) + ((p,metasenv,subst,gl)::others@tl_status) + + ) + with CicUtil.Meta_not_found i when i = goalno -> assert false with CicUtil.Meta_not_found i when i = goalno -> (* goalno was closed by sideeffect *) debug_print - (lazy ("Goal "^string_of_int goalno^" closed by sideeffect")); - aux flags tables maxm cache ((metasenv,subst,gl)::tl) - - and aux_single flags tables maxm universe cache metasenv subst (goalno, depth, _) goalty cc = + (lazy ("Goal "^string_of_int goalno^" closed by sideeffect")); + aux flags tables maxm cache ((p,metasenv,subst,gl)::tl) + ((p,metasenv,subst,gl)::tl_status) + + and aux_single flags tables maxm universe cache metasenv subst (goalno, depth, + _) goalty cc e l (id,_,_) = + match !hint with + | Some id' when id <> id' -> Fail "hint", tables,cache,maxm + | _ -> + hint := None; + (* let flags = if depth < 10 then {flags with maxwidth=3} else flags in *) let goalty = CicMetaSubst.apply_subst subst goalty in (* else if not (is_in_prop context subst metasenv goalty) then Fail,cache *) (* FAILURE (euristic cut) *) @@ -858,48 +1397,97 @@ let rec auto_main tables maxm context flags elems universe cache = let subst = entry :: subst in let metasenv = CicMetaSubst.apply_subst_metasenv subst metasenv in debug_print (lazy (" CACHE HIT!")); - Success (metasenv, subst, []), tables, cache, maxm - | UnderInspection -> Fail "looping",tables,cache, maxm + incr candidate_no; + Success ((!candidate_no,t,goalty),metasenv, subst, []), tables, cache, maxm + | UnderInspection -> + (* assert (not (is_a_green_cut goalty)); *) + Fail "looping",tables,cache, maxm | Notfound | Failed_in _ when depth > 0 -> (* we have more depth now *) let cache = cache_add_underinspection cache goalty depth in - let fake_proof = None,metasenv,Cic.Meta(goalno,irl),goalty in + let fake_proof = None,metasenv,Cic.Meta(goalno,irl),goalty, [] in (* FG: attrs *) let elems, tables, cache, maxm, flags = if is_equational_case goalty flags then let elems,tables,cache,maxm1, flags = equational_case tables maxm cache depth fake_proof goalno goalty subst context flags in - let maxm = maxm1 in - let more_elems, tables, cache, maxm1 = - if flags.use_only_paramod then - [],tables, cache, maxm - else - applicative_case - tables maxm depth subst fake_proof goalno - goalty metasenv context universe cache in - let maxm = maxm1 in - elems@more_elems, tables, cache, maxm, flags + let maxm = maxm1 in + let more_elems, tables, cache, maxm1 = + if flags.use_only_paramod then + [],tables, cache, maxm + else + applicative_case + tables maxm depth subst fake_proof goalno + goalty metasenv context universe cache in + let maxm = maxm1 in + elems@more_elems, tables, cache, maxm, flags else - let elems, tables, cache, maxm = + let elems, tables, cache, maxm = applicative_case tables maxm depth subst fake_proof goalno goalty metasenv context universe cache in - elems, tables, cache, maxm, flags + elems, tables, cache, maxm, flags + in + let status = + List.map (fun (p,m,s,l) -> p,m,s,l@e) elems @ l in - aux flags tables maxm cache elems - | _ -> Fail "??",tables,cache,maxm + auto_status := status; + check_pause (); + let rc = aux flags tables maxm cache elems status in + debug_print "BACK!"; + rc + | _ -> Fail "depth = 0",tables,cache,maxm in - aux flags tables maxm cache elems + aux flags tables maxm cache elems elems and +*) + +(* +let auto_all_solutions maxm tables universe cache context metasenv gl flags = let goals = order_new_goals metasenv [] gl CicPp.ppterm in let goals = List.map (fun (x,s) -> x,flags.maxdepth,s) goals in - let elems = [metasenv,[],goals] in + let elems = [(0,Cic.Implicit None,Cic.Implicit None), metasenv,[],goals] in let rec aux tables maxm solutions cache elems flags = match auto_main tables maxm context flags elems universe cache with - | Fail s,tables,cache,maxm ->prerr_endline s; solutions,cache,maxm - | Success (metasenv,subst,others),tables,cache,maxm -> + | Fail s,tables,cache,maxm ->debug_print s; solutions,cache,maxm + | Success (_,metasenv,subst,others),tables,cache,maxm -> + if Unix.gettimeofday () > flags.timeout then + ((subst,metasenv)::solutions), cache, maxm + else + aux tables maxm ((subst,metasenv)::solutions) cache others flags + in + let rc = aux tables maxm [] cache elems flags in + match rc with + | [],cache,maxm -> [],cache,maxm + | solutions,cache,maxm -> + let solutions = + HExtlib.filter_map + (fun (subst,newmetasenv) -> + let opened = + ProofEngineHelpers.compare_metasenvs ~oldmetasenv:metasenv ~newmetasenv + in + if opened = [] then Some subst else None) + solutions + in + solutions,cache,maxm +;; +*) +let + auto_all_solutions maxm tables universe cache context metasenv gl flags += + let goals = order_new_goals metasenv [] gl CicPp.ppterm in + let goals = + List.map + (fun (x,s) -> D (x,flags.maxdepth,s)) goals + in + let elems = [metasenv,[],1,goals,[]] in + let rec aux tables maxm solutions cache elems flags = + match auto_main tables maxm context flags universe cache elems with + | Gaveup (tables,cache,maxm) -> + solutions,cache,maxm + | Proved (metasenv,subst,others,tables,cache,maxm) -> if Unix.gettimeofday () > flags.timeout then ((subst,metasenv)::solutions), cache, maxm else @@ -923,23 +1511,141 @@ and (* }}} ****************** AUTO ***************) +(* script generation for applicative proofs +let cic2grafite context menv t = + let module PT = CicNotationPt in + let module GA = GrafiteAst in + let pp_t context t = + let names = Utils.names_of_context context in + CicPp.pp t names + in + let sort_of context t = + let ty,_ = + CicTypeChecker.type_of_aux' menv context t + CicUniv.oblivion_ugraph + in + let sort,_ = CicTypeChecker.type_of_aux' menv context ty + CicUniv.oblivion_ugraph + in + match sort with + | Cic.Sort Cic.Prop -> P + | _ -> T + in + let floc = HExtlib.dummy_floc in + let rec print_term c = function + | Cic.Rel _ + | Cic.MutConstruct _ + | Cic.MutInd _ + | Cic.Const _ as t -> + PT.Ident (pp_t c t, None) + | Cic.Appl l -> PT.Appl (List.map (print_term c) l) + | Cic.Implicit _ -> PT.Implicit + | Cic.Lambda (Cic.Name n, s, t) -> + PT.Binder (`Lambda, (PT.Ident (n,None), Some (print_term c s)), + print_term (Some (Cic.Name n, Cic.Decl s)::c) t) + | Cic.Prod (Cic.Name n, s, t) -> + PT.Binder (`Forall, (PT.Ident (n,None), Some (print_term c s)), + print_term (Some (Cic.Name n, Cic.Decl s)::c) t) + | Cic.LetIn (Cic.Name n, s, t) -> + PT.Binder (`Lambda, (PT.Ident (n,None), Some (print_term c s)), + print_term (Some (Cic.Name n, Cic.Def (s,None))::c) t) + | Cic.Meta _ -> PT.Implicit + | _ as t -> + PT.Ident ("ERROR"^CicPp.ppterm t, None) + (* + debug_print (lazy (CicPp.ppterm t)); + assert false + *) + in + let rec print_proof context = function + | Cic.Rel _ + | Cic.Const _ as t -> + [GA.Executable (floc, + GA.Tactic (floc, + Some (GA.Apply (floc, print_term context t)), GA.Dot floc))] + | Cic.Appl (he::tl) -> + let tl = List.map (fun t -> t, sort_of context t) tl in + let subgoals = + HExtlib.filter_map (function (t,P) -> Some t | _ -> None) tl + in + let args = + List.map + (function + | (t,P) -> Cic.Implicit None + | (t,_) -> t) + tl + in + if List.length subgoals > 1 then + (* branch *) + [GA.Executable (floc, + GA.Tactic (floc, + Some (GA.Apply (floc, print_term context (Cic.Appl (he::args)))), + GA.Semicolon floc))] @ + [GA.Executable (floc, GA.Tactic (floc, None, GA.Branch floc))] @ + (HExtlib.list_concat + ~sep:[GA.Executable (floc, GA.Tactic (floc, None,GA.Shift floc))] + (List.map (print_proof context) subgoals)) @ + [GA.Executable (floc, GA.Tactic (floc, None,GA.Merge floc))] + else + (* simple apply *) + [GA.Executable (floc, + GA.Tactic (floc, + Some (GA.Apply + (floc, print_term context (Cic.Appl (he::args)) )), GA.Dot floc))] + @ + (match subgoals with + | [] -> [] + | [x] -> print_proof context x + | _ -> assert false) + | _ -> [] + (* + debug_print (lazy (CicPp.ppterm t)); + assert false + *) + in + let ast = print_proof context t in + let pp t = + (* ZACK: setting width to 80 will trigger a bug of BoxPp.render_to_string + * which will show up using the following command line: + * ./tptp2grafite -tptppath ~tassi/TPTP-v3.1.1 GRP170-1 *) + let width = max_int in + let term_pp content_term = + let pres_term = TermContentPres.pp_ast content_term in + let dummy_tbl = Hashtbl.create 1 in + let markup = CicNotationPres.render dummy_tbl pres_term in + let s = "(" ^ BoxPp.render_to_string List.hd width markup ^ ")" in + Pcre.substitute + ~pat:"\\\\forall [Ha-z][a-z0-9_]*" ~subst:(fun x -> "\n" ^ x) s + in + CicNotationPp.set_pp_term term_pp; + let lazy_term_pp = fun x -> assert false in + let obj_pp = CicNotationPp.pp_obj CicNotationPp.pp_term in + GrafiteAstPp.pp_statement ~term_pp ~lazy_term_pp ~obj_pp t + in + String.concat "\n" (List.map pp ast) +;; let auto_all tables universe cache context metasenv gl flags = let solutions, cache, _ = auto_all_solutions 0 tables universe cache context metasenv gl flags in solutions, cache ;; +*) let auto flags metasenv tables universe cache context metasenv gl = let initial_time = Unix.gettimeofday() in let goals = order_new_goals metasenv [] gl CicPp.ppterm in - let goals = List.map (fun (x,s) -> x,flags.maxdepth,s) goals in - let elems = [metasenv,[],goals] in - match auto_main tables 0 context flags elems universe cache with - | Success (metasenv,subst,_), tables,cache,_ -> - prerr_endline("TIME:"^string_of_float(Unix.gettimeofday()-.initial_time)); + let goals = List.map (fun (x,s) -> D(x,flags.maxdepth,s)) goals in + let elems = [metasenv,[],1,goals,[]] in + match auto_main tables 0 context flags universe cache elems with + | Proved (metasenv,subst,_, tables,cache,_) -> + debug_print(lazy + ("TIME:"^string_of_float(Unix.gettimeofday()-.initial_time))); Some (subst,metasenv), cache - | Fail s,tables,cache,maxm -> None,cache + | Gaveup (tables,cache,maxm) -> + debug_print(lazy + ("TIME:"^string_of_float(Unix.gettimeofday()-.initial_time))); + None,cache ;; let bool params name default = @@ -977,10 +1683,12 @@ let flags_of_params params ?(for_applyS=false) () = ((AutoTypes.default_flags()).AutoTypes.use_library) in let depth = int "depth" ((AutoTypes.default_flags()).AutoTypes.maxdepth) in let width = int "width" ((AutoTypes.default_flags()).AutoTypes.maxwidth) in + let size = int "size" ((AutoTypes.default_flags()).AutoTypes.maxsize) in let timeout = int "timeout" 0 in { AutoTypes.maxdepth = if use_only_paramod then 2 else depth; AutoTypes.maxwidth = width; + AutoTypes.maxsize = size; AutoTypes.timeout = if timeout = 0 then if for_applyS then Unix.gettimeofday () +. 30.0 @@ -1044,7 +1752,7 @@ let rec position_of i x = function let superposition_tac ~target ~table ~subterms_only ~demod_table status = Saturation.reset_refs(); let proof,goalno = status in - let curi,metasenv,pbo,pty = proof in + let curi,metasenv,pbo,pty, attrs = proof in let metano,context,ty = CicUtil.lookup_meta goalno metasenv in let eq_uri,tty = eq_and_ty_of_goal ty in let env = (metasenv, context, CicUniv.empty_ugraph) in @@ -1075,24 +1783,26 @@ let superposition_tac ~target ~table ~subterms_only ~demod_table status = Indexing.superposition_right bag ~subterms_only eq_uri maxm env index eq_what in - prerr_endline ("Superposition right:"); - prerr_endline ("\n eq: " ^ Equality.string_of_equality eq_what ~env); - prerr_endline ("\n table: "); - List.iter (fun e -> prerr_endline (" " ^ Equality.string_of_equality e ~env)) eq_other; - prerr_endline ("\n result: "); - List.iter (fun e -> prerr_endline (Equality.string_of_equality e ~env)) eql; - prerr_endline ("\n result (cut&paste): "); + debug_print (lazy ("Superposition right:")); + debug_print (lazy ("\n eq: " ^ Equality.string_of_equality eq_what ~env)); + debug_print (lazy ("\n table: ")); + List.iter + (fun e -> + debug_print (lazy (" " ^ Equality.string_of_equality e ~env))) eq_other; + debug_print (lazy ("\n result: ")); + List.iter (fun e -> debug_print (lazy (Equality.string_of_equality e ~env))) eql; + debug_print (lazy ("\n result (cut&paste): ")); List.iter (fun e -> let t = Equality.term_of_equality eq_uri e in - prerr_endline (CicPp.pp t names)) + debug_print (lazy (CicPp.pp t names))) eql; - prerr_endline ("\n result proofs: "); + debug_print (lazy ("\n result proofs: ")); List.iter (fun e -> - prerr_endline (let _,p,_,_,_ = Equality.open_equality e in + debug_print (lazy (let _,p,_,_,_ = Equality.open_equality e in let s = match p with Equality.Exact _ -> Subst.empty_subst | Equality.Step (s,_) -> s in Subst.ppsubst s ^ "\n" ^ - CicPp.pp (Equality.build_proof_term bag eq_uri [] 0 p) names)) eql; + CicPp.pp (Equality.build_proof_term bag eq_uri [] 0 p) names))) eql; if demod_table <> "" then begin let eql = @@ -1118,14 +1828,14 @@ let superposition_tac ~target ~table ~subterms_only ~demod_table status = (maxm,[]) eql in let eql = List.rev eql in - prerr_endline ("\n result [demod]: "); + debug_print (lazy ("\n result [demod]: ")); List.iter - (fun e -> prerr_endline (Equality.string_of_equality e ~env)) eql; - prerr_endline ("\n result [demod] (cut&paste): "); + (fun e -> debug_print (lazy (Equality.string_of_equality e ~env))) eql; + debug_print (lazy ("\n result [demod] (cut&paste): ")); List.iter (fun e -> let t = Equality.term_of_equality eq_uri e in - prerr_endline (CicPp.pp t names)) + debug_print (lazy (CicPp.pp t names))) eql; end; proof,[goalno] @@ -1148,36 +1858,50 @@ let auto_tac ~(dbd:HMysql.dbd) ~params ~universe (proof, goal) = ~target ~table ~subterms_only ~demod_table (proof,goal) | false -> (* this is the real auto *) - let _,metasenv,_,_ = proof in - let _,context,_ = CicUtil.lookup_meta goal metasenv in + let _,metasenv,_,_, _ = proof in + let _,context,goalty = CicUtil.lookup_meta goal metasenv in let flags = flags_of_params params () in (* just for testing *) let use_library = flags.use_library in let tables,cache,newmeta = - init_cache_and_tables dbd use_library flags.use_only_paramod - universe (proof, goal) in + init_cache_and_tables dbd use_library flags.use_only_paramod + universe (proof, goal) in let tables,cache,newmeta = if flags.close_more then - close_more - tables newmeta context (proof, goal) auto_all_solutions universe cache - else tables,cache,newmeta in + close_more + tables newmeta context (proof, goal) + auto_all_solutions universe cache + else tables,cache,newmeta in let initial_time = Unix.gettimeofday() in - let (_,oldmetasenv,_,_) = proof in - let elem = metasenv,[],[goal,flags.maxdepth,AutoTypes.P] in - match auto_main tables newmeta context flags [elem] universe cache with - | Success (metasenv,subst,_), tables,cache,_ -> - prerr_endline("TIME:"^string_of_float(Unix.gettimeofday()-.initial_time)); - let proof,metasenv = + let (_,oldmetasenv,_,_, _) = proof in + hint := None; + let elem = + metasenv,[],1,[D (goal,flags.maxdepth,P)],[] + in + match auto_main tables newmeta context flags universe cache [elem] with + | Proved (metasenv,subst,_, tables,cache,_) -> + prerr_endline + ("TIME:"^string_of_float(Unix.gettimeofday()-.initial_time)); + (* script generation + let irl = mk_irl context in + let goal_term = Cic.Meta(goal, irl) in + let proof_term = CicMetaSubst.apply_subst subst goal_term in + HLog.debug (cic2grafite context metasenv proof_term); + *) + let proof,metasenv = ProofEngineHelpers.subst_meta_and_metasenv_in_proof proof goal (CicMetaSubst.apply_subst subst) metasenv in let opened = ProofEngineHelpers.compare_metasenvs ~oldmetasenv - ~newmetasenv:metasenv + ~newmetasenv:metasenv in proof,opened - | Fail s,tables,cache,maxm -> - raise (ProofEngineTypes.Fail (lazy "Auto gave up")) + | Gaveup (tables,cache,maxm) -> + debug_print + (lazy ("TIME:"^ + string_of_float(Unix.gettimeofday()-.initial_time))); + raise (ProofEngineTypes.Fail (lazy "Auto gave up")) ;; let auto_tac ~dbd ~params ~universe = @@ -1191,7 +1915,7 @@ let eq_of_goal = function (* DEMODULATE *) let demodulate_tac ~dbd ~universe (proof,goal)= - let curi,metasenv,pbo,pty = proof in + let curi,metasenv,pbo,pty, attrs = proof in let metano,context,ty = CicUtil.lookup_meta goal metasenv in let irl = CicMkImplicit.identity_relocation_list_for_metavariable context in let initgoal = [], [], ty in @@ -1218,7 +1942,7 @@ let demodulate_tac ~dbd ~universe (proof,goal)= in let extended_metasenv = (maxm,context,newty)::metasenv in let extended_status = - (curi,extended_metasenv,pbo,pty),goal in + (curi,extended_metasenv,pbo,pty, attrs),goal in let (status,newgoals) = ProofEngineTypes.apply_tactic (PrimitiveTactics.apply_tac ~term:proofterm) @@ -1235,5 +1959,3 @@ let demodulate_tac ~dbd ~universe (proof,goal)= let demodulate_tac ~dbd ~universe = ProofEngineTypes.mk_tactic (demodulate_tac ~dbd ~universe);; - -