function
| [] -> None
| candidate::tl ->
- let pos, (proof, (ty, left, right, o), metas, args) = candidate in
+ let pos, (_, proof, (ty, left, right, o), metas, args) = candidate in
let do_match c other eq_URI =
let subst', metasenv', ugraph' =
let t1 = Unix.gettimeofday () in
function
| [] -> []
| candidate::tl ->
- let pos, (proof, (ty, left, right, o), metas, args) = candidate in
+ let pos, (_, _, (ty, left, right, o), metas, args) = candidate in
let do_match c other eq_URI =
let subst', metasenv', ugraph' =
let t1 = Unix.gettimeofday () in
find_all_matches ~unif_fun:Inference.matching
metasenv context ugraph 0 left leftc
in
- let ok what (_, subst, menv, ug, ((pos, (_, (_, l, r, o), _, _)), _)) =
+ let ok what (_, subst, menv, ug, ((pos, (_, _, (_, l, r, o), _, _)), _)) =
try
let other = if pos = Utils.Left then r else l in
let subst', menv', ug' =
;;
+let build_ens_for_sym_eq ty x y =
+ [(UriManager.uri_of_string
+ "cic:/Coq/Init/Logic/Logic_lemmas/equality/A.var", ty);
+ (UriManager.uri_of_string
+ "cic:/Coq/Init/Logic/Logic_lemmas/equality/x.var", x);
+ (UriManager.uri_of_string
+ "cic:/Coq/Init/Logic/Logic_lemmas/equality/y.var", y)]
+;;
+
+
let build_newtarget_time = ref 0.;;
-let rec demodulation newmeta env table target =
+
+let demod_counter = ref 1;;
+
+let rec demodulation newmeta env table sign target =
let module C = Cic in
let module S = CicSubstitution in
let module M = CicMetaSubst in
let module HL = HelmLibraryObjects in
let metasenv, context, ugraph = env in
- let proof, (eq_ty, left, right, order), metas, args = target in
+ let _, proof, (eq_ty, left, right, order), metas, args = target in
let metasenv' = metasenv @ metas in
+
+ let maxmeta = ref newmeta in
+
let build_newtarget is_left (t, subst, menv, ug, (eq_found, eq_URI)) =
let time1 = Unix.gettimeofday () in
- let pos, (proof', (ty, what, other, _), menv', args') = eq_found in
+ let pos, (_, proof', (ty, what, other, _), menv', args') = eq_found in
let what, other = if pos = Utils.Left then what, other else other, what in
let newterm, newproof =
let bo = (* M. *)apply_subst subst (S.subst other t) in
- let bo'' =
- C.Appl ([C.MutInd (HL.Logic.eq_URI, 0, []);
- S.lift 1 eq_ty] @
- if is_left then [bo; S.lift 1 right] else [S.lift 1 left; bo])
+ let t' =
+ let name = C.Name ("x_Demod_" ^ (string_of_int !demod_counter)) in
+ incr demod_counter;
+ let l, r =
+ if is_left then t, S.lift 1 right else S.lift 1 left, t in
+ (name, ty, S.lift 1 eq_ty, l, r)
in
- let t' = C.Lambda (C.Anonymous, ty, bo'') in
- bo,
- Inference.ProofBlock (subst, eq_URI, t', eq_found, target)
-(* (\* M. *\)apply_subst subst (C.Appl [C.Const (eq_URI, []); ty; what; t'; *)
-(* proof; other; proof']) *)
+ if sign = Utils.Positive then
+ (bo,
+ Inference.ProofBlock (subst, eq_URI, t', eq_found, proof))
+ else
+ let metaproof =
+ incr maxmeta;
+ let irl =
+ CicMkImplicit.identity_relocation_list_for_metavariable context in
+ Printf.printf "\nADDING META: %d\n" !maxmeta;
+ print_newline ();
+ C.Meta (!maxmeta, irl)
+ in
+ let target' =
+ let eq_found =
+ let proof' =
+ let ens =
+ if pos = Utils.Left then
+ build_ens_for_sym_eq ty what other
+ else
+ build_ens_for_sym_eq ty other what
+ in
+ Inference.ProofSymBlock (ens, proof')
+ in
+ let what, other =
+ if pos = Utils.Left then what, other else other, what
+ in
+ pos, (0, proof', (ty, other, what, Utils.Incomparable),
+ menv', args')
+ in
+ let target_proof =
+ let pb =
+ Inference.ProofBlock (subst, eq_URI, t', eq_found,
+ Inference.BasicProof metaproof)
+ in
+ match proof with
+ | Inference.BasicProof _ ->
+ print_endline "replacing a BasicProof";
+ pb
+ | Inference.ProofGoalBlock (_, parent_eq) ->
+ print_endline "replacing another ProofGoalBlock";
+ Inference.ProofGoalBlock (pb, parent_eq)
+ | _ -> assert false
+ in
+ (0, target_proof, (eq_ty, left, right, order), metas, args)
+ in
+ let refl =
+ C.Appl [C.MutConstruct (* reflexivity *)
+ (HelmLibraryObjects.Logic.eq_URI, 0, 1, []);
+ eq_ty; if is_left then right else left]
+ in
+ (bo,
+ Inference.ProofGoalBlock (Inference.BasicProof refl, target'))
in
let left, right = if is_left then newterm, right else left, newterm in
- let m =
- (Inference.metas_of_term left) @ (Inference.metas_of_term right)
- in
+ let m = (Inference.metas_of_term left) @ (Inference.metas_of_term right) in
let newmetasenv = List.filter (fun (i, _, _) -> List.mem i m) metas
and newargs =
List.filter
let res =
let w = Utils.compute_equality_weight eq_ty left right in
- (w, (eq_ty, left, right, ordering), newmetasenv, newargs)
+ (w, newproof, (eq_ty, left, right, ordering), newmetasenv, newargs)
in
- Inference.store_proof res newproof;
- newmeta, res
+(* if sign = Utils.Positive then ( *)
+(* let newm, res = Inference.fix_metas !maxmeta res in *)
+(* maxmeta := newm; *)
+(* !maxmeta, res *)
+(* ) else *)
+ !maxmeta(* newmeta *), res
in
-(* let build_newtarget = *)
-(* let profile = CicUtil.profile "Indexing.demodulation.build_newtarget" in *)
-(* (fun a b -> profile (build_newtarget a) b) *)
-(* in *)
let res = demodulate_term metasenv' context ugraph table 0 left in
- let build_identity (p, (t, l, r, o), m, a) =
- match o with
- | Utils.Gt -> (p, (t, r, r, Utils.Eq), m, a)
- | _ -> (p, (t, l, l, Utils.Eq), m, a)
- in
+(* let build_identity (w, p, (t, l, r, o), m, a) = *)
+(* match o with *)
+(* | Utils.Gt -> (w, p, (t, r, r, Utils.Eq), m, a) *)
+(* | _ -> (w, p, (t, l, l, Utils.Eq), m, a) *)
+(* in *)
match res with
| Some t ->
let newmeta, newtarget = build_newtarget true t in
(* if subsumption env table newtarget then *)
(* newmeta, build_identity newtarget *)
(* else *)
- demodulation newmeta env table newtarget
+ demodulation newmeta env table sign newtarget
| None ->
let res = demodulate_term metasenv' context ugraph table 0 right in
match res with
(* if subsumption env table newtarget then *)
(* newmeta, build_identity newtarget *)
(* else *)
- demodulation newmeta env table newtarget
+ demodulation newmeta env table sign newtarget
| None ->
newmeta, target
;;
;;
-let superposition_left (metasenv, context, ugraph) table target =
+let sup_l_counter = ref 1;;
+
+let superposition_left newmeta (metasenv, context, ugraph) table target =
let module C = Cic in
let module S = CicSubstitution in
let module M = CicMetaSubst in
let module HL = HelmLibraryObjects in
let module CR = CicReduction in
let module U = Utils in
- let proof, (eq_ty, left, right, ordering), _, _ = target in
+ let weight, proof, (eq_ty, left, right, ordering), _, _ = target in
let expansions, _ =
let term = if ordering = U.Gt then left else right in
betaexpand_term metasenv context ugraph table 0 term
in
+ let maxmeta = ref newmeta in
let build_new (bo, s, m, ug, (eq_found, eq_URI)) =
+
+ print_endline "\nSUPERPOSITION LEFT\n";
+
let time1 = Unix.gettimeofday () in
- let pos, (proof', (ty, what, other, _), menv', args') = eq_found in
+ let pos, (_, proof', (ty, what, other, _), menv', args') = eq_found in
let what, other = if pos = Utils.Left then what, other else other, what in
let newgoal, newproof =
let bo' = (* M. *)apply_subst s (S.subst other bo) in
- let bo'' =
- C.Appl (
- [C.MutInd (HL.Logic.eq_URI, 0, []);
- S.lift 1 eq_ty] @
- if ordering = U.Gt then [bo'; S.lift 1 right]
- else [S.lift 1 left; bo'])
+ let t' =
+ let name = C.Name ("x_SupL_" ^ (string_of_int !sup_l_counter)) in
+ incr sup_l_counter;
+ let l, r =
+ if ordering = U.Gt then bo, S.lift 1 right else S.lift 1 left, bo in
+ (name, ty, S.lift 1 eq_ty, l, r)
in
- let t' = C.Lambda (C.Anonymous, ty, bo'') in
- bo',
- Inference.ProofBlock (s, eq_URI, t', eq_found, target)
-(* (\* M. *\)apply_subst s *)
-(* (C.Appl [C.Const (eq_URI, []); ty; what; t'; *)
-(* proof; other; proof']) *)
+(* let bo'' = *)
+(* C.Appl ( *)
+(* [C.MutInd (HL.Logic.eq_URI, 0, []); *)
+(* S.lift 1 eq_ty] @ *)
+(* if ordering = U.Gt then [S.lift 1 bo'; S.lift 1 right] *)
+(* else [S.lift 1 left; S.lift 1 bo']) *)
+(* in *)
+(* let t' = *)
+(* let name = C.Name ("x_SupL_" ^ (string_of_int !sup_l_counter)) in *)
+(* incr sup_l_counter; *)
+(* C.Lambda (name, ty, bo'') *)
+(* in *)
+ incr maxmeta;
+ let metaproof =
+ let irl =
+ CicMkImplicit.identity_relocation_list_for_metavariable context in
+ C.Meta (!maxmeta, irl)
+ in
+ let target' =
+ let eq_found =
+ let proof' =
+ let ens =
+ if pos = Utils.Left then
+ build_ens_for_sym_eq ty what other
+ else
+ build_ens_for_sym_eq ty other what
+ in
+ Inference.ProofSymBlock (ens, proof')
+ in
+ let what, other =
+ if pos = Utils.Left then what, other else other, what
+ in
+ pos, (0, proof', (ty, other, what, Utils.Incomparable), menv', args')
+ in
+ let target_proof =
+ let pb =
+ Inference.ProofBlock (s, eq_URI, t', eq_found,
+ Inference.BasicProof metaproof)
+ in
+ match proof with
+ | Inference.BasicProof _ ->
+ print_endline "replacing a BasicProof";
+ pb
+ | Inference.ProofGoalBlock (_, parent_eq) ->
+ print_endline "replacing another ProofGoalBlock";
+ Inference.ProofGoalBlock (pb, parent_eq)
+ | _ -> assert false
+ in
+ (weight, target_proof, (eq_ty, left, right, ordering), [], [])
+ in
+ let refl =
+ C.Appl [C.MutConstruct (* reflexivity *)
+ (HelmLibraryObjects.Logic.eq_URI, 0, 1, []);
+ eq_ty; if ordering = U.Gt then right else left]
+ in
+ (bo',
+ Inference.ProofGoalBlock (Inference.BasicProof refl, target'))
in
let left, right =
if ordering = U.Gt then newgoal, right else left, newgoal in
let res =
let w = Utils.compute_equality_weight eq_ty left right in
- (w, (eq_ty, left, right, neworder), [], [])
+ (w, newproof, (eq_ty, left, right, neworder), [], [])
in
- Inference.store_proof res newproof;
res
in
-(* let build_new = *)
-(* let profile = CicUtil.profile "Inference.superposition_left.build_new" in *)
-(* (fun e -> profile build_new e) *)
-(* in *)
- List.map build_new expansions
+ !maxmeta, List.map build_new expansions
;;
+let sup_r_counter = ref 1;;
+
let superposition_right newmeta (metasenv, context, ugraph) table target =
let module C = Cic in
let module S = CicSubstitution in
let module HL = HelmLibraryObjects in
let module CR = CicReduction in
let module U = Utils in
- let eqproof, (eq_ty, left, right, ordering), newmetas, args = target in
+ let _, eqproof, (eq_ty, left, right, ordering), newmetas, args = target in
let metasenv' = metasenv @ newmetas in
let maxmeta = ref newmeta in
let res1, res2 =
let time1 = Unix.gettimeofday () in
- let pos, (proof', (ty, what, other, _), menv', args') = eq_found in
+ let pos, (_, proof', (ty, what, other, _), menv', args') = eq_found in
let what, other = if pos = Utils.Left then what, other else other, what in
let newgoal, newproof =
let bo' = (* M. *)apply_subst s (S.subst other bo) in
- let bo'' =
- C.Appl (
- [C.MutInd (HL.Logic.eq_URI, 0, []); S.lift 1 eq_ty] @
- if ordering = U.Gt then [bo'; S.lift 1 right]
- else [S.lift 1 left; bo'])
+ let t' =
+ let name = C.Name ("x_SupR_" ^ (string_of_int !sup_r_counter)) in
+ incr sup_r_counter;
+ let l, r =
+ if ordering = U.Gt then bo, S.lift 1 right else S.lift 1 left, bo in
+ (name, ty, S.lift 1 eq_ty, l, r)
in
- let t' = C.Lambda (C.Anonymous, ty, bo'') in
+(* let bo'' = *)
+(* C.Appl ( *)
+(* [C.MutInd (HL.Logic.eq_URI, 0, []); S.lift 1 eq_ty] @ *)
+(* if ordering = U.Gt then [S.lift 1 bo'; S.lift 1 right] *)
+(* else [S.lift 1 left; S.lift 1 bo']) *)
+(* in *)
+(* let t' = *)
+(* let name = C.Name ("x_SupR_" ^ (string_of_int !sup_r_counter)) in *)
+(* incr sup_r_counter; *)
+(* C.Lambda (name, ty, bo'') *)
+(* in *)
bo',
- Inference.ProofBlock (s, eq_URI, t', eq_found, target)
+ Inference.ProofBlock (s, eq_URI, t', eq_found, eqproof(* target *))
(* (\* M. *\)apply_subst s *)
(* (C.Appl [C.Const (eq_URI, []); ty; what; t'; *)
(* eqproof; other; proof']) *)
and newargs = args @ args' in
let eq' =
let w = Utils.compute_equality_weight eq_ty left right in
- (w, (eq_ty, left, right, neworder), newmenv, newargs)
+ (w, newproof, (eq_ty, left, right, neworder), newmenv, newargs)
and env = (metasenv, context, ugraph) in
let newm, eq' = Inference.fix_metas !maxmeta eq' in
newm, eq'
let time2 = Unix.gettimeofday () in
build_newtarget_time := !build_newtarget_time +. (time2 -. time1);
- Inference.store_proof newequality newproof;
newequality
in
let new1 = List.map (build_new U.Gt) res1
and new2 = List.map (build_new U.Lt) res2 in
let ok = function
- | _, (_, left, right, _), _, _ ->
+ | _, _, (_, left, right, _), _, _ ->
not (fst (CR.are_convertible context left right ugraph))
in
(!maxmeta,
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