(* $Id: index.mli 9822 2009-06-03 15:37:06Z tassi $ *)
-module Superposition (B : Terms.Blob) =
+module Superposition (B : Orderings.Blob) =
struct
module IDX = Index.Index(B)
- module Unif = FoUnif.Founif(B)
+ module Unif = FoUnif.FoUnif(B)
module Subst = FoSubst
- module Order = Orderings.Orderings(B)
+ module Order = B
module Utils = FoUtils.Utils(B)
module Pp = Pp.Pp(B)
+ module Clauses = Clauses.Clauses(B)
- exception Success of B.t Terms.bag * int * B.t Terms.unit_clause
+ exception Success of B.t Terms.bag * int * B.t Terms.clause
- let debug s = prerr_endline s;;
+ let debug s = prerr_endline (Lazy.force s);;
let debug _ = ();;
let enable = true;;
let rec aux bag pos ctx id = function
| Terms.Leaf _ as t -> f bag t pos ctx id
| Terms.Var _ as t -> bag,t,id
- | Terms.Node l as t->
+ | Terms.Node (hd::l) as t->
let bag,t,id1 = f bag t pos ctx id in
if id = id1 then
let bag, l, _, id =
let bag,newt,id = aux bag newpos newctx id t in
if post = [] then bag, pre@[newt], [], id
else bag, pre @ [newt], List.tl post, id)
- (bag, [], List.tl l, id) l
+ (bag, [hd], List.tl l, id) l
in
bag, Terms.Node l, id
else bag,t,id1
+ | _ -> assert false
in
aux bag pos ctx id t
;;
| t -> Terms.Predicate t
in
let bag, uc =
- Terms.add_to_bag (0, literal, Terms.vars_of_term t, proof) bag
+ Terms.add_to_bag (0, [], [literal,true], Terms.vars_of_term t, proof) bag
in
Some (bag, uc)
else
let prof_demod_u = HExtlib.profile ~enable "demod.unify";;
let prof_demod_r = HExtlib.profile ~enable "demod.retrieve_generalizations";;
let prof_demod_o = HExtlib.profile ~enable "demod.compare_terms";;
+ let prof_demod_s = HExtlib.profile ~enable "demod.apply_subst";;
let demod table varlist subterm =
let cands =
(IDX.DT.retrieve_generalizations table) subterm
in
list_first
- (fun (dir, (id,lit,vl,_)) ->
- match lit with
- | Terms.Predicate _ -> assert false
- | Terms.Equation (l,r,_,o) ->
- let side, newside = if dir=Terms.Left2Right then l,r else r,l in
- try
- let subst =
- prof_demod_u.HExtlib.profile
- (Unif.unification (varlist@vl) varlist subterm) side
- in
- let side = Subst.apply_subst subst side in
- let newside = Subst.apply_subst subst newside in
- if o = Terms.Incomparable then
- let o =
- prof_demod_o.HExtlib.profile
- (Order.compare_terms newside) side in
- (* Riazanov, pp. 45 (ii) *)
- if o = Terms.Lt then
- Some (newside, subst, id, dir)
- else
- ((*prerr_endline ("Filtering: " ^
- Pp.pp_foterm side ^ " =(< || =)" ^
- Pp.pp_foterm newside ^ " coming from " ^
- Pp.pp_unit_clause uc );*)None)
- else
- Some (newside, subst, id, dir)
- with FoUnif.UnificationFailure _ -> None)
- (IDX.ClauseSet.elements cands)
+ (fun (dir, is_pos, pos, (id,nlit,plit,vl,_)) ->
+ match nlit,plit with
+ | [], [(lit,_)] ->
+ (match lit with
+ | Terms.Predicate _ -> assert false
+ | Terms.Equation (l,r,_,o) ->
+ let side, newside = if dir=Terms.Left2Right then l,r else r,l in
+ try
+ let subst =
+ prof_demod_u.HExtlib.profile
+ (Unif.unification (* (varlist@vl) *) varlist subterm) side
+ in
+ let side =
+ prof_demod_s.HExtlib.profile
+ (Subst.apply_subst subst) side
+ in
+ let newside =
+ prof_demod_s.HExtlib.profile
+ (Subst.apply_subst subst) newside
+ in
+ if o = Terms.Incomparable || o = Terms.Invertible then
+ let o =
+ prof_demod_o.HExtlib.profile
+ (Order.compare_terms newside) side in
+ (* Riazanov, pp. 45 (ii) *)
+ if o = Terms.Lt then
+ Some (newside, subst, id, dir)
+ else
+ ((*prerr_endline ("Filtering: " ^
+ Pp.pp_foterm side ^ " =(< || =)" ^
+ Pp.pp_foterm newside ^ " coming from " ^
+ Pp.pp_clause uc );*)None)
+ else
+ Some (newside, subst, id, dir)
+ with FoUnif.UnificationFailure _ -> None)
+ | _ -> None)
+ (IDX.ClauseSet.elements cands)
;;
let prof_demod = HExtlib.profile ~enable "demod";;
let demod table varlist x =
prof_demod.HExtlib.profile (demod table varlist) x
;;
- let demodulate_once_old ~jump_to_right bag (id, literal, vl, pr) table =
- match literal with
- | Terms.Predicate t -> assert false
- | Terms.Equation (l,r,ty,_) ->
- let left_position = if jump_to_right then None else
- first_position [2]
- (fun x -> Terms.Node [ Terms.Leaf B.eqP; ty; x; r ]) l
- (demod table vl)
- in
- match left_position with
- | Some (newt, subst, id2, dir, pos) ->
- begin
- match build_clause bag (fun _ -> true) Terms.Demodulation
- newt subst id id2 pos dir
- with
- | None -> assert false
- | Some x -> Some (x,false)
- end
- | None ->
- match first_position
- [3] (fun x -> Terms.Node [ Terms.Leaf B.eqP; ty; l; x ]) r
- (demod table vl)
- with
- | None -> None
- | Some (newt, subst, id2, dir, pos) ->
- match build_clause bag (fun _ -> true)
- Terms.Demodulation newt subst id id2 pos dir
- with
- | None -> assert false
- | Some x -> Some (x,true)
- ;;
-
let parallel_demod table vl bag t pos ctx id =
match demod table vl t with
| None -> (bag,t,id)
Terms.Demodulation (ctx newside) subst id id2 pos dir
with
| None -> assert false
- | Some (bag,(id,_,_,_)) ->
+ | Some (bag,(id,_,_,_,_)) ->
(bag,newside,id)
;;
- let demodulate_once ~jump_to_right bag (id, literal, vl, pr) table =
- match literal with
+ let demodulate_once ~jump_to_right bag (id, nlit, plit, vl, pr) table =
+ match nlit,plit with
+ |[literal,_], []
+ |[],[literal,_] ->
+ (match literal with
| Terms.Predicate t -> assert false
| Terms.Equation (l,r,ty,_) ->
let bag,l,id1 = if jump_to_right then (bag,l,id) else
if id = id2 then None
else
let cl,_,_ = Terms.get_from_bag id2 bag in
- Some ((bag,cl),jump_to_right)
+ Some ((bag,cl),jump_to_right))
+ | _ -> assert false;
;;
let rec demodulate ~jump_to_right bag clause table =
bag clause table
;;
- let rec demodulate_old ~jump_to_right bag clause table =
- match demodulate_once_old ~jump_to_right bag clause table with
- | None -> bag, clause
- | Some ((bag, clause),r) -> demodulate_old ~jump_to_right:r
- bag clause table
- ;;
-
let are_alpha_eq cl1 cl2 =
- let get_term (_,lit,_,_) =
- match lit with
- | Terms.Predicate _ -> assert false
- | Terms.Equation (l,r,ty,_) ->
+ let get_term (_,nlit,plit,_,_) =
+ match nlit,plit with
+ | [], [Terms.Equation (l,r,ty,_),_] ->
Terms.Node [Terms.Leaf B.eqP; ty; l ; r]
+ | _ -> assert false
in
try ignore(Unif.alpha_eq (get_term cl1) (get_term cl2)) ; true
with FoUnif.UnificationFailure _ -> false
(* in
if are_alpha_eq c1 c2 then bag1,c1
else begin
- prerr_endline (Pp.pp_unit_clause c1);
- prerr_endline (Pp.pp_unit_clause c2);
+ prerr_endline (Pp.pp_clause c1);
+ prerr_endline (Pp.pp_clause c2);
prerr_endline "Bag :";
prerr_endline (Pp.pp_bag bag1);
assert false
(* move away *)
let is_identity_clause ~unify = function
- | _, Terms.Equation (_,_,_,Terms.Eq), _, _ -> true
- | _, Terms.Equation (l,r,_,_), vl, proof when unify ->
- (try ignore(Unif.unification vl [] l r); true
+ | _, [], [Terms.Equation (_,_,_,Terms.Eq),_], _, _ -> true
+ | _, [], [Terms.Equation (l,r,_,_),_], vl, proof when unify ->
+ (try ignore(Unif.unification (* vl *) [] l r); true
with FoUnif.UnificationFailure _ -> false)
- | _, Terms.Equation (_,_,_,_), _, _ -> false
- | _, Terms.Predicate _, _, _ -> assert false
+ | _ -> false
;;
let build_new_clause bag maxvar filter rule t subst id id2 pos dir =
bag, maxvar, res
;;
-
+ (* Tries to rewrite an equality to identity, using unit equalities in table *)
let rewrite_eq ~unify l r ty vl table =
let retrieve = if unify then IDX.DT.retrieve_unifiables
else IDX.DT.retrieve_generalizations in
let f b c =
let id, dir, l, r, vl =
match c with
- | (d, (id,Terms.Equation (l,r,ty,_),vl,_))-> id, d, l, r, vl
+ | (d,_,_, (id,[],[Terms.Equation (l,r,ty,_),_],vl,_))-> id, d, l, r, vl
|_ -> assert false
in
let reverse = (dir = Terms.Left2Right) = b in
| [] -> None
| (id2,dir,c,vl1)::tl ->
try
- let subst = Unif.unification (vl@vl1) locked_vars c t in
+ let subst = Unif.unification (* (vl@vl1) *) locked_vars c t in
Some (id2, dir, subst)
with FoUnif.UnificationFailure _ -> aux tl
in
aux (cands1 @ cands2)
;;
- let is_subsumed ~unify bag maxvar (id, lit, vl, _) table =
- match lit with
- | Terms.Predicate _ -> assert false
- | Terms.Equation (l,r,ty,_) ->
- match rewrite_eq ~unify l r ty vl table with
+ let is_subsumed ~unify bag maxvar (id, nlit, plit, vl, _) table =
+ match nlit,plit with
+ | [],[Terms.Equation (l,r,ty,_) ,_]->
+ (match rewrite_eq ~unify l r ty vl table with
| None -> None
| Some (id2, dir, subst) ->
let id_t = Terms.Node [ Terms.Leaf B.eqP; ty; r; r ] in
build_new_clause bag maxvar (fun _ -> true)
- Terms.Superposition id_t subst id id2 [2] dir
+ Terms.Superposition id_t subst id id2 [2] dir)
+ | _ -> assert false
;;
let prof_is_subsumed = HExtlib.profile ~enable "is_subsumed";;
let is_subsumed ~unify bag maxvar c x =
let rec deep_eq ~unify l r ty pos contextl contextr table acc =
match acc with
| None -> None
- | Some(bag,maxvar,(id,lit,vl,p),subst) ->
+ | Some(bag,maxvar,(id,nlit,plit,vl,p),subst) ->
let l = Subst.apply_subst subst l in
let r = Subst.apply_subst subst r in
try
- let subst1 = Unif.unification vl [] l r in
+ let subst1 = Unif.unification (* vl *) [] l r in
let lit =
- match lit with Terms.Predicate _ -> assert false
- | Terms.Equation (l,r,ty,o) ->
+ match nlit,plit with
+ | [],[Terms.Equation (l,r,ty,o),_] ->
Terms.Equation (FoSubst.apply_subst subst1 l,
FoSubst.apply_subst subst1 r, ty, o)
+ | _ -> assert false
in
- Some(bag,maxvar,(id,lit,vl,p),Subst.concat subst1 subst)
+ Some(bag,maxvar,(id,[],[lit,true],vl,p),Subst.concat subst1 subst)
with FoUnif.UnificationFailure _ ->
match rewrite_eq ~unify l r ty vl table with
| Some (id2, dir, subst1) ->
let rec orphan_murder bag acc i =
match Terms.get_from_bag i bag with
- | (_,_,_,Terms.Exact _),discarded,_ -> (discarded,acc)
- | (_,_,_,Terms.Step (_,i1,i2,_,_,_)),true,_ -> (true,acc)
- | (_,_,_,Terms.Step (_,i1,i2,_,_,_)),false,_ ->
+ | (_,_,_,_,Terms.Exact _),discarded,_ -> (discarded,acc)
+ | (_,_,_,_,Terms.Step (_,i1,i2,_,_,_)),true,_ -> (true,acc)
+ | (_,_,_,_,Terms.Step (_,i1,i2,_,_,_)),false,_ ->
if (List.mem i acc) then (false,acc)
else match orphan_murder bag acc i1 with
| (true,acc) -> (true,acc)
;;
let orphan_murder bag actives cl =
- let (id,_,_,_) = cl in
- let actives = List.map (fun (i,_,_,_) -> i) actives in
+ let (id,_,_,_,_) = cl in
+ let actives = List.map (fun (i,_,_,_,_) -> i) actives in
let (res,_) = orphan_murder bag actives id in
- if res then debug "Orphan murdered"; res
+ if res then debug (lazy "Orphan murdered"); res
;;
let prof_orphan_murder = HExtlib.profile ~enable "orphan_murder";;
let orphan_murder bag actives x =
let simplify table maxvar bag clause =
match simplify table maxvar bag clause with
| bag, None ->
- let (id,_,_,_) = clause in
+ let (id,_,_,_,_) = clause in
let (_,_,iter) = Terms.get_from_bag id bag in
Terms.replace_in_bag (clause,true,iter) bag, None
| bag, Some clause -> bag, Some clause
match simplify atable maxvar bag new_clause with
| bag,None -> bag,None (* new_clause has been discarded *)
| bag,(Some clause) ->
- let ctable = IDX.index_unit_clause IDX.DT.empty clause in
+ let ctable = IDX.index_clause IDX.DT.empty clause in
let bag, alist, atable =
List.fold_left
(fun (bag, alist, atable) c ->
|bag,None -> (bag,alist,atable)
(* an active clause as been discarded *)
|bag,Some c1 ->
- bag, c :: alist, IDX.index_unit_clause atable c)
+ bag, c :: alist, IDX.index_clause atable c)
(bag,[],IDX.DT.empty) alist
in
bag, Some (clause, (alist,atable))
let simplification_step ~new_cl cl (alist,atable) bag maxvar new_clause =
let atable1 =
if new_cl then atable else
- IDX.index_unit_clause atable cl
+ IDX.index_clause atable cl
in
(* Simplification of new_clause with : *
* - actives and cl if new_clause is not cl *
| bag,Some clause ->
(* Simplification of each active clause with clause *
* which is the simplified form of new_clause *)
- let ctable = IDX.index_unit_clause IDX.DT.empty clause in
+ let ctable = IDX.index_clause IDX.DT.empty clause in
let bag, newa, alist, atable =
List.fold_left
(fun (bag, newa, alist, atable) c ->
|bag,Some c1 ->
if (c1 == c) then
bag, newa, c :: alist,
- IDX.index_unit_clause atable c
+ IDX.index_clause atable c
else
bag, c1 :: newa, alist, atable)
(bag,[],[],IDX.DT.empty) alist
| bag,(None, Some _) -> bag,None
| bag,(Some cl1, Some (clause, (alist,atable), newa)) ->
let alist,atable =
- (clause::alist, IDX.index_unit_clause atable clause)
+ (clause::alist, IDX.index_clause atable clause)
in
keep_simplified_aux ~new_cl:(cl!=cl1) cl1 (alist,atable)
bag (newa@tl)
if (is_identity_clause ~unify:true clause)
then raise (Success (bag, maxvar, clause))
else
- let (id,lit,vl,_) = clause in
+ let (id,nlit,plit,vl,_) = clause in
if vl = [] then Some (bag,clause)
else
let l,r,ty =
- match lit with
- | Terms.Equation(l,r,ty,_) -> l,r,ty
+ match nlit,plit with
+ | [],[Terms.Equation(l,r,ty,_),_] -> l,r,ty
| _ -> assert false
in
match deep_eq ~unify:true l r ty [] (fun x -> x) (fun x -> x)
(* this is OK for both the sup_left and sup_right inference steps *)
let superposition table varlist subterm pos context =
let cands = IDX.DT.retrieve_unifiables table subterm in
+ debug (lazy (string_of_int (IDX.ClauseSet.cardinal cands) ^ " candidates found"));
HExtlib.filter_map
- (fun (dir, (id,lit,vl,_ (*as uc*))) ->
- match lit with
- | Terms.Predicate _ -> assert false
- | Terms.Equation (l,r,_,o) ->
- let side, newside = if dir=Terms.Left2Right then l,r else r,l in
+ (fun (dir, _, _, (id,nlit,plit,vl,_ (*as uc*))) ->
+ match nlit,plit with
+ | [],[Terms.Equation (l,r,_,o),_] ->
+ (let side, newside = if dir=Terms.Left2Right then l,r else r,l in
try
let subst =
- Unif.unification (varlist@vl) [] subterm side
+ Unif.unification (* (varlist@vl)*) [] subterm side
in
- if o = Terms.Incomparable then
+ if o = Terms.Incomparable || o = Terms.Invertible then
let side = Subst.apply_subst subst side in
let newside = Subst.apply_subst subst newside in
let o = Order.compare_terms side newside in
else
Some (context newside, subst, id, pos, dir)
with FoUnif.UnificationFailure _ -> None)
+ | _ -> assert false)
(IDX.ClauseSet.elements cands)
;;
(* Superposes selected equation with equalities in table *)
- let superposition_with_table bag maxvar (id,selected,vl,_) table =
- match selected with
- | Terms.Predicate _ -> assert false
- | Terms.Equation (l,r,ty,Terms.Lt) ->
+ let superposition_with_table bag maxvar (id,nlit,plit,vl,_) table =
+ match nlit,plit with
+ | [],[Terms.Equation (l,r,ty,Terms.Lt),_] ->
fold_build_new_clause bag maxvar id Terms.Superposition
(fun _ -> true)
(all_positions [3]
(fun x -> Terms.Node [ Terms.Leaf B.eqP; ty; l; x ])
r (superposition table vl))
- | Terms.Equation (l,r,ty,Terms.Gt) ->
+ | [],[Terms.Equation (l,r,ty,Terms.Invertible),_]
+ | [],[Terms.Equation (l,r,ty,Terms.Gt),_] ->
fold_build_new_clause bag maxvar id Terms.Superposition
(fun _ -> true)
(all_positions [2]
(fun x -> Terms.Node [ Terms.Leaf B.eqP; ty; x; r ])
l (superposition table vl))
- | Terms.Equation (l,r,ty,Terms.Incomparable) ->
+ | [],[Terms.Equation (l,r,ty,Terms.Incomparable),_] ->
let filtering avoid subst = (* Riazanov: p.33 condition (iv) *)
let l = Subst.apply_subst subst l in
let r = Subst.apply_subst subst r in
fold_build_new_clause bag maxvar id Terms.Superposition
(filtering Terms.Lt)
(all_positions [2]
- (fun x -> Terms.Node [ Terms.Leaf B.eqP; ty; l; x ])
- r (superposition table vl))
+ (fun x -> Terms.Node [ Terms.Leaf B.eqP; ty; x; r ])
+ l (superposition table vl))
in
bag, maxvar, r_terms @ l_terms
| _ -> assert false
(* We demodulate actives clause with current until all *
* active clauses are reduced w.r.t each other *)
(* let bag, (alist,atable) = keep_simplified (alist,atable) bag [current] in *)
- let ctable = IDX.index_unit_clause IDX.DT.empty current in
+ let ctable = IDX.index_clause IDX.DT.empty current in
(* let bag, (alist, atable) =
let bag, alist =
HExtlib.filter_map_acc (simplify ctable) bag alist
in
- bag, (alist, List.fold_left IDX.index_unit_clause IDX.DT.empty alist)
+ bag, (alist, List.fold_left IDX.index_clause IDX.DT.empty alist)
in*)
- debug "Simplified active clauses with fact";
+ debug (lazy "Simplified active clauses with fact");
(* We superpose active clauses with current *)
let bag, maxvar, new_clauses =
List.fold_left
bag, maxvar, newc @ acc)
(bag, maxvar, []) alist
in
- debug "First superpositions";
+ debug (lazy "First superpositions");
(* We add current to active clauses so that it can be *
* superposed with itself *)
let alist, atable =
- current :: alist, IDX.index_unit_clause atable current
+ current :: alist, IDX.index_clause atable current
in
- debug "Indexed";
- let fresh_current, maxvar = Utils.fresh_unit_clause maxvar current in
+ debug (lazy "Indexed");
+ let fresh_current, maxvar = Clauses.fresh_clause maxvar current in
(* We need to put fresh_current into the bag so that all *
* variables clauses refer to are known. *)
let bag, fresh_current = Terms.add_to_bag fresh_current bag in
let bag, maxvar, additional_new_clauses =
superposition_with_table bag maxvar fresh_current atable
in
- debug "Another superposition";
+ debug (lazy "Another superposition");
let new_clauses = new_clauses @ additional_new_clauses in
- debug (Printf.sprintf "Demodulating %d clauses"
- (List.length new_clauses));
+ debug (lazy (Printf.sprintf "Demodulating %d clauses"
+ (List.length new_clauses)));
let bag, new_clauses =
HExtlib.filter_map_monad (simplify atable maxvar) bag new_clauses
in
- debug "Demodulated new clauses";
+ debug (lazy "Demodulated new clauses");
bag, maxvar, (alist, atable), new_clauses
;;
let infer_left bag maxvar goal (_alist, atable) =
(* We superpose the goal with active clauses *)
- if (match goal with (_,_,[],_) -> true | _ -> false) then bag, maxvar, []
+ if (match goal with (_,_,_,[],_) -> true | _ -> false) then bag, maxvar, []
else
let bag, maxvar, new_goals =
superposition_with_table bag maxvar goal atable
in
- debug "Superposed goal with active clauses";
+ debug (lazy "Superposed goal with active clauses");
(* We simplify the new goals with active clauses *)
let bag, new_goals =
List.fold_left
| Some (bag,g) -> bag,g::acc)
(bag, []) new_goals
in
- debug "Simplified new goals with active clauses";
+ debug (lazy "Simplified new goals with active clauses");
bag, maxvar, List.rev new_goals
;;
projects / helm.git / blobdiff