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@ -344,16 +344,16 @@ let in_car a x = Subst.mem a x.rep
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let is_rep a x =
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match Subst.find a x.rep with Some a' -> Trm.equal a a' | None -> false
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let cls_of a x = Trm.Map.find a x.cls |> Option.value ~default:Cls.empty
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let use_of a x = Trm.Map.find a x.use |> Option.value ~default:Use.empty
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(** congruent specialized to assume subterms of [a'] are normalized wrt [r]
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(or canonized) *)
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let semi_congruent r a' b = Trm.equal a' (Trm.map ~f:(Subst.norm r.rep) b)
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(* Invariant ==============================================================*)
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(** terms are congruent if equal after normalizing subterms *)
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let congruent r a b = semi_congruent r (Trm.map ~f:(Subst.norm r.rep) a) b
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(* Invariant ==============================================================*)
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let congruent r a b =
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Trm.equal
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(Trm.map ~f:(Subst.norm r.rep) a)
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(Trm.map ~f:(Subst.norm r.rep) b)
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let find_check a x =
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if not (Theory.is_noninterpreted a) then a
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@ -370,11 +370,7 @@ let pre_invariant x =
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nontrivial classes *)
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assert (
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Theory.is_noninterpreted a
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|| is_rep a x
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&& not
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(Cls.is_empty
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( Trm.Map.find a' x.cls
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|> Option.value ~default:Cls.empty ))
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|| (is_rep a x && not (Cls.is_empty (cls_of a' x)))
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|| fail "interp in rep dom %a" Trm.pp a () ) ;
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(* carrier is closed under solvable subterms *)
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Iter.iter (Theory.solvable_trms a) ~f:(fun b ->
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@ -390,9 +386,7 @@ let pre_invariant x =
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Subst.pp x.rep () ) ;
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(* every term is in class of its rep *)
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assert (
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let a'_cls =
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Trm.Map.find a' x.cls |> Option.value ~default:Cls.empty
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in
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let a'_cls = cls_of a' x in
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Trm.equal a a'
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|| Trm.Set.mem a (Cls.to_set a'_cls)
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|| fail "%a not in cls of %a = {%a}" Trm.pp a Trm.pp a' Cls.pp
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@ -678,12 +672,6 @@ let empty =
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let unsat = {empty with sat= false}
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let canon_f r b =
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[%trace]
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~call:(fun {pf} -> pf "@ %a@ | %a" Fml.pp b pp_raw r)
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~retn:(fun {pf} -> pf "%a" Fml.pp)
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@@ fun () -> Fml.map_trms ~f:(canon r) b
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let merge ~wrt a b x =
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[%trace]
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~call:(fun {pf} -> pf " @[%a =@ %a@] |@ %a" Trm.pp a Trm.pp b pp x)
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@ -694,7 +682,7 @@ let merge ~wrt a b x =
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let x = {x with pnd= (a, b) :: x.pnd} in
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propagate ~wrt x
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let and_eq_ ~wrt a b x =
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let and_eq ~wrt a b x =
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[%trace]
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~call:(fun {pf} -> pf "@ @[%a = %a@]@ | %a" Trm.pp a Trm.pp b pp x)
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~retn:(fun {pf} x' ->
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@ -717,6 +705,18 @@ let is_empty {sat; rep} =
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let is_unsat {sat} = not sat
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let canon_f x b =
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[%trace]
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~call:(fun {pf} -> pf "@ %a@ | %a" Fml.pp b pp_raw x)
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~retn:(fun {pf} -> pf "%a" Fml.pp)
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@@ fun () -> Fml.map_trms ~f:(canon x) b
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let normalize x a =
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[%trace]
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~call:(fun {pf} -> pf "@ %a@ | %a" Term.pp a pp x)
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~retn:(fun {pf} -> pf "%a" Term.pp)
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@@ fun () -> Term.map_trms ~f:(canon x) a
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let implies r b =
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[%Trace.call fun {pf} -> pf "@ %a@ | %a" Fml.pp b pp r]
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;
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@ -726,20 +726,15 @@ let implies r b =
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let refutes r b = Fml.equal Fml.ff (canon_f r b)
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let normalize x a =
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[%trace]
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~call:(fun {pf} -> pf "@ %a@ | %a" Term.pp a pp x)
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~retn:(fun {pf} -> pf "%a" Term.pp)
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@@ fun () -> Term.map_trms ~f:(canon x) a
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let cls_of r e =
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(* class including the representative of a term not assumed to be a rep *)
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let rep_cls_of r e =
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let e' = Subst.apply r.rep e in
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Cls.add e' (Trm.Map.find e' r.cls |> Option.value ~default:Cls.empty)
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Cls.add e' (cls_of e' r)
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let class_of r e =
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match Term.get_trm (normalize r e) with
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| Some e' ->
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Iter.to_list (Iter.map ~f:Term.of_trm (Cls.to_iter (cls_of r e')))
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Iter.to_list (Iter.map ~f:Term.of_trm (Cls.to_iter (rep_cls_of r e')))
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| None -> []
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let diff_classes r s =
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@ -766,7 +761,7 @@ let apply_subst wrt s r =
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let rep' = Subst.apply_rec s rep in
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Cls.fold cls r ~f:(fun trm r ->
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let trm' = Subst.apply_rec s trm in
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and_eq_ ~wrt trm' rep' r ) ) )
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and_eq ~wrt trm' rep' r ) ) )
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|> extract_xs
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|>
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[%Trace.retn fun {pf} (xs, r') ->
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@ -782,7 +777,7 @@ let union wrt r s =
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let s, r =
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if Subst.length s.rep <= Subst.length r.rep then (s, r) else (r, s)
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in
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Subst.fold s.rep r ~f:(fun ~key:e ~data:e' r -> and_eq_ ~wrt e e' r) )
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Subst.fold s.rep r ~f:(fun ~key:e ~data:e' r -> and_eq ~wrt e e' r) )
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|> extract_xs
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|>
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[%Trace.retn fun {pf} (_, r') ->
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@ -803,7 +798,7 @@ let inter wrt r s =
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match
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List.find ~f:(fun rep -> implies r (Fml.eq exp rep)) reps
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with
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| Some rep -> (reps, and_eq_ ~wrt exp rep rs)
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| Some rep -> (reps, and_eq ~wrt exp rep rs)
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| None -> (exp :: reps, rs) )
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|> snd )
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in
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@ -827,8 +822,8 @@ let rec add_ wrt b r =
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| Tt -> r
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| Not Tt -> unsat
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| And {pos; neg} -> Fml.fold_pos_neg ~f:(add_ wrt) ~pos ~neg r
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| Eq (d, e) -> and_eq_ ~wrt d e r
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| Eq0 e -> and_eq_ ~wrt Trm.zero e r
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| Eq (d, e) -> and_eq ~wrt d e r
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| Eq0 e -> and_eq ~wrt Trm.zero e r
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| Pos _ | Not _ | Or _ | Iff _ | Cond _ | Lit _ -> r
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let add us b r =
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@ -1252,7 +1247,7 @@ let solve_concat_extracts r us x (classes, subst, us_xs) =
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List.filter_map (solve_concat_extracts_eq r x) ~f:(fun rev_extracts ->
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Iter.fold_opt (Iter.of_list rev_extracts) [] ~f:(fun e suffix ->
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let+ rep_ito_us =
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Cls.fold (cls_of r e) None ~f:(fun trm rep_ito_us ->
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Cls.fold (rep_cls_of r e) None ~f:(fun trm rep_ito_us ->
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match rep_ito_us with
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| Some rep when Trm.compare rep trm <= 0 -> rep_ito_us
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| _ when Var.Set.subset (Trm.fv trm) ~of_:us -> Some trm
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