let debug s = () (* prerr_endline s *) ;; let nparamod rdb metasenv subst context t table = let nb_iter = ref 200 in prerr_endline "========================================"; let module C = struct let metasenv = metasenv let subst = subst let context = context end in let module B = NCicBlob.NCicBlob(C) in let module Pp = Pp.Pp (B) in let module FU = FoUnif.Founif(B) in let module IDX = Index.Index(B) in let module Sup = Superposition.Superposition(B) in let module Utils = FoUtils.Utils(B) in let module OrderedPassives = struct type t = B.t Terms.passive_clause let compare = Utils.compare_passive_clauses end in let module PassiveSet = Set.Make(OrderedPassives) in let add_passive_clause passives cl = PassiveSet.add (Utils.mk_passive_clause cl) passives in (* TODO : fairness condition *) let select passives = if PassiveSet.is_empty passives then None else let cl = PassiveSet.min_elt passives in Some (snd cl,PassiveSet.remove cl passives) in let rec given_clause bag maxvar actives passives g_actives g_passives = decr nb_iter; if !nb_iter = 0 then (*(prerr_endline "Bag :"; prerr_endline (Pp.pp_bag bag); prerr_endline "Active table :"; (List.iter (fun x -> prerr_endline (Pp.pp_unit_clause x)) (fst actives));*) raise (Failure "Timeout !"); (* superposition left, simplifications on goals *) debug "infer_left step..."; let bag, maxvar, g_actives, g_passives = match select g_passives with | None -> bag, maxvar, g_actives, g_passives | Some (g_current, g_passives) -> debug ("Selected goal : " ^ Pp.pp_unit_clause g_current); let bag, g_current = Sup.simplify_goal maxvar (snd actives) bag g_current in let bag, maxvar, new_goals = Sup.infer_left bag maxvar g_current actives in let new_goals = List.fold_left add_passive_clause PassiveSet.empty new_goals in bag, maxvar, g_current::g_actives, (PassiveSet.union new_goals g_passives) in prerr_endline (Printf.sprintf "Number of active goals : %d" (List.length g_actives)); prerr_endline (Printf.sprintf "Number of passive goals : %d" (PassiveSet.cardinal g_passives)); (* forward step *) (* e = select P * * e' = demod A e * * A' = demod [e'] A * * A'' = A' + e' * * e'' = fresh e' * * new = supright e'' A'' * * new'= demod A'' new * * P' = P + new' *) debug "Forward infer step..."; let bag, maxvar, actives, passives, g_passives = let rec aux_simplify passives = match select passives with | None -> assert false | Some (current, passives) -> debug ("Selected fact : " ^ Pp.pp_unit_clause current); match Sup.keep_simplified current actives bag with (* match Sup.one_pass_simplification current actives bag with *) | None -> aux_simplify passives | Some x -> x,passives in let (current, bag, actives),passives = aux_simplify passives in debug ("Fact after simplification :" ^ Pp.pp_unit_clause current); let bag, maxvar, actives, new_clauses = Sup.infer_right bag maxvar current actives in debug "Demodulating goals with actives..."; (* keep goals demodulated w.r.t. actives and check if solved *) let bag, g_actives = List.fold_left (fun (bag,acc) c -> let bag, c = Sup.simplify_goal maxvar (snd actives) bag c in bag, c::acc) (bag,[]) g_actives in let ctable = IDX.index_unit_clause IDX.DT.empty current in let bag, maxvar, new_goals = List.fold_left (fun (bag,m,acc) g -> let bag, m, ng = Sup.infer_left bag maxvar g ([current],ctable) in bag,m,ng@acc) (bag,maxvar,[]) g_actives in let new_clauses = List.fold_left add_passive_clause PassiveSet.empty new_clauses in let new_goals = List.fold_left add_passive_clause PassiveSet.empty new_goals in bag, maxvar, actives, PassiveSet.union new_clauses passives, PassiveSet.union new_goals g_passives in prerr_endline (Printf.sprintf "Number of actives : %d" (List.length (fst actives))); prerr_endline (Printf.sprintf "Number of passives : %d" (PassiveSet.cardinal passives)); given_clause bag maxvar actives passives g_actives g_passives in let mk_clause bag maxvar (t,ty) = let (proof,ty) = B.saturate t ty in let c, maxvar = Utils.mk_unit_clause maxvar ty proof in let bag, c = Utils.add_to_bag bag c in bag, maxvar, c in let bag, maxvar, goal = mk_clause Terms.M.empty 0 t in let g_actives = [] in let g_passives = PassiveSet.singleton (Utils.mk_passive_clause goal) in let passives, bag, maxvar = List.fold_left (fun (cl, bag, maxvar) t -> let bag, maxvar, c = mk_clause bag maxvar t in (add_passive_clause cl c), bag, maxvar) (PassiveSet.empty, bag, maxvar) table in let actives = [], IDX.DT.empty in try given_clause bag maxvar actives passives g_actives g_passives with | Sup.Success (bag, _, (i,_,_,_)) -> let l = let module S = HTopoSort.Make(struct type t=int let compare=Pervasives.compare end) in let module C : Set.S with type elt = int = Set.Make(struct type t=int let compare=Pervasives.compare end) in let all id = let rec traverse ongoal (accg,acce) i = match Terms.M.find i bag with | (_,_,_,Terms.Exact _) -> accg, acce | (_,_,_,Terms.Step (_,i1,i2,_,_,_)) -> let accg, acce = if ongoal then C.add i1 accg, acce else accg, C.add i1 acce in let acce = C.add i2 acce in traverse false (traverse ongoal (accg,acce) i1) i2 in traverse true (C.empty,C.empty) id in let esteps = S.topological_sort (C.elements (snd (all i))) (fun i -> C.elements (snd (all i))) in let gsteps = S.topological_sort (C.elements (fst (all i))) (fun i -> C.elements (fst (all i))) in let gsteps = List.rev gsteps in esteps@gsteps in prerr_endline "YES!"; prerr_endline "Proof:"; List.iter (fun x -> prerr_endline (Pp.pp_unit_clause (Terms.M.find x bag))) l; let proofterm = B.mk_proof bag i l in prerr_endline (NCicPp.ppterm ~metasenv:C.metasenv ~subst:C.subst ~context:C.context proofterm); let _metasenv, _subst, _proofterm, _prooftype = NCicRefiner.typeof rdb C.metasenv C.subst C.context proofterm None in prerr_endline "REFINED!"; () | Failure _ -> prerr_endline "FAILURE"; ;;