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@ -329,7 +329,13 @@ let ppx var_strength fs clss noneqs =
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let pp_diff_cls = Trm.Map.pp_diff ~eq:Cls.equal Trm.pp Cls.pp Cls.pp_diff
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(* Basic queries ==========================================================*)
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(* Basic representation queries ===========================================*)
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let trms r =
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Iter.flat_map ~f:(fun (k, v) -> Iter.doubleton k v) (Subst.to_iter r.rep)
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let vars r = Iter.flat_map ~f:Trm.vars (trms r)
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let fv r = Var.Set.of_iter (vars r)
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(** test membership in carrier *)
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let in_car r e = Subst.mem e r.rep
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@ -755,11 +761,97 @@ let rename x sub =
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in
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if rep == x.rep && cls == x.cls then x else {x with rep; cls}
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let trms r =
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Iter.flat_map ~f:(fun (k, v) -> Iter.doubleton k v) (Subst.to_iter r.rep)
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let trivial vs r =
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[%trace]
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~call:(fun {pf} -> pf "@ %a@ %a" Var.Set.pp_xs vs pp_raw r)
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~retn:(fun {pf} ks -> pf "%a" Var.Set.pp_xs ks)
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@@ fun () ->
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Var.Set.fold vs Var.Set.empty ~f:(fun v ks ->
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let x = Trm.var v in
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match Subst.find x r.rep with
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| None -> Var.Set.add v ks
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| Some x' when Trm.equal x x' && Iter.is_empty (uses_of x r) ->
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Var.Set.add v ks
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| _ -> ks )
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let vars r = Iter.flat_map ~f:Trm.vars (trms r)
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let fv r = Var.Set.of_iter (vars r)
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let trim ks x =
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[%trace]
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~call:(fun {pf} -> pf "@ %a@ %a" Var.Set.pp_xs ks pp_raw x)
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~retn:(fun {pf} x' ->
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pf "%a" pp_raw x' ;
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invariant x' ;
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assert (Var.Set.disjoint ks (fv x')) )
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@@ fun () ->
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(* expand classes to include reps *)
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let reps =
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Subst.fold x.rep Trm.Set.empty ~f:(fun ~key:_ ~data:rep reps ->
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Trm.Set.add rep reps )
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in
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let clss =
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Trm.Set.fold reps x.cls ~f:(fun rep clss ->
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Trm.Map.update rep clss ~f:(fun cls0 ->
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Cls.add rep (Option.value cls0 ~default:Cls.empty) ) )
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in
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(* enumerate expanded classes and update solution subst *)
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let kills = Trm.Set.of_vars ks in
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Trm.Map.fold clss x ~f:(fun ~key:a' ~data:ecls x ->
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(* remove mappings for non-rep class elements to kill *)
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let keep, drop = Trm.Set.diff_inter (Cls.to_set ecls) kills in
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if Trm.Set.is_empty drop then x
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else
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let rep = Trm.Set.fold ~f:Subst.remove drop x.rep in
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let x = {x with rep} in
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(* new class is keepers without rep *)
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let keep' = Trm.Set.remove a' keep in
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let ecls = Cls.of_set keep' in
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if keep' != keep then
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(* a' is to be kept: continue to use it as rep *)
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let cls =
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if Cls.is_empty ecls then Trm.Map.remove a' x.cls
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else Trm.Map.add ~key:a' ~data:ecls x.cls
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in
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{x with cls}
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else
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(* a' is to be removed: choose new rep from the keepers *)
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let cls = Trm.Map.remove a' x.cls in
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let x = {x with cls} in
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match
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Trm.Set.reduce keep ~f:(fun x y ->
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if Theory.prefer x y < 0 then x else y )
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with
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| Some b' ->
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(* add mappings from each keeper to the new representative *)
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let rep =
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Trm.Set.fold keep x.rep ~f:(fun elt rep ->
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Subst.add ~key:elt ~data:b' rep )
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in
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(* add trimmed class to new rep *)
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let cls =
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if Cls.is_empty ecls then x.cls
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else Trm.Map.add ~key:b' ~data:ecls x.cls
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in
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{x with rep; cls}
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| None ->
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(* entire class removed *)
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x )
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let apply_and_elim ~wrt xs s r =
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[%trace]
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~call:(fun {pf} -> pf "@ %a%a@ %a" Var.Set.pp_xs xs Subst.pp s pp_raw r)
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~retn:(fun {pf} (zs, r', ks) ->
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pf "%a@ %a@ %a" Var.Set.pp_xs zs pp_raw r' Var.Set.pp_xs ks ;
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invariant r' ;
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assert (Var.Set.subset ks ~of_:xs) ;
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assert (Var.Set.disjoint ks (fv r')) )
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@@ fun () ->
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if Subst.is_empty s then (Var.Set.empty, r, Var.Set.empty)
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else
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let zs, r = apply_subst wrt s r in
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if is_unsat r then (Var.Set.empty, unsat, Var.Set.empty)
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else
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let ks = trivial xs r in
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let r = trim ks r in
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(zs, r, ks)
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(* Existential Witnessing and Elimination =================================*)
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@ -1138,98 +1230,6 @@ let solve_for_vars vss r =
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else `Continue us_xs )
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~finish:(fun _ -> false) ) )]
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let trivial vs r =
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[%trace]
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~call:(fun {pf} -> pf "@ %a@ %a" Var.Set.pp_xs vs pp_raw r)
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~retn:(fun {pf} ks -> pf "%a" Var.Set.pp_xs ks)
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@@ fun () ->
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Var.Set.fold vs Var.Set.empty ~f:(fun v ks ->
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let x = Trm.var v in
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match Subst.find x r.rep with
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| None -> Var.Set.add v ks
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| Some x' when Trm.equal x x' && Iter.is_empty (uses_of x r) ->
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Var.Set.add v ks
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| _ -> ks )
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let trim ks x =
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[%trace]
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~call:(fun {pf} -> pf "@ %a@ %a" Var.Set.pp_xs ks pp_raw x)
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~retn:(fun {pf} x' ->
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pf "%a" pp_raw x' ;
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invariant x' ;
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assert (Var.Set.disjoint ks (fv x')) )
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@@ fun () ->
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(* expand classes to include reps *)
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let reps =
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Subst.fold x.rep Trm.Set.empty ~f:(fun ~key:_ ~data:rep reps ->
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Trm.Set.add rep reps )
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in
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let clss =
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Trm.Set.fold reps x.cls ~f:(fun rep clss ->
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Trm.Map.update rep clss ~f:(fun cls0 ->
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Cls.add rep (Option.value cls0 ~default:Cls.empty) ) )
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in
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(* enumerate expanded classes and update solution subst *)
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let kills = Trm.Set.of_vars ks in
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Trm.Map.fold clss x ~f:(fun ~key:a' ~data:ecls x ->
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(* remove mappings for non-rep class elements to kill *)
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let keep, drop = Trm.Set.diff_inter (Cls.to_set ecls) kills in
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if Trm.Set.is_empty drop then x
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else
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let rep = Trm.Set.fold ~f:Subst.remove drop x.rep in
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let x = {x with rep} in
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(* new class is keepers without rep *)
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let keep' = Trm.Set.remove a' keep in
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let ecls = Cls.of_set keep' in
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if keep' != keep then
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(* a' is to be kept: continue to use it as rep *)
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let cls =
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if Cls.is_empty ecls then Trm.Map.remove a' x.cls
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else Trm.Map.add ~key:a' ~data:ecls x.cls
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in
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{x with cls}
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else
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(* a' is to be removed: choose new rep from the keepers *)
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let cls = Trm.Map.remove a' x.cls in
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let x = {x with cls} in
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match
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Trm.Set.reduce keep ~f:(fun x y ->
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if Theory.prefer x y < 0 then x else y )
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with
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| Some b' ->
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(* add mappings from each keeper to the new representative *)
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let rep =
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Trm.Set.fold keep x.rep ~f:(fun elt rep ->
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Subst.add ~key:elt ~data:b' rep )
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in
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(* add trimmed class to new rep *)
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let cls =
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if Cls.is_empty ecls then x.cls
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else Trm.Map.add ~key:b' ~data:ecls x.cls
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in
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{x with rep; cls}
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| None ->
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(* entire class removed *)
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x )
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let apply_and_elim ~wrt xs s r =
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[%trace]
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~call:(fun {pf} -> pf "@ %a%a@ %a" Var.Set.pp_xs xs Subst.pp s pp_raw r)
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~retn:(fun {pf} (zs, r', ks) ->
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pf "%a@ %a@ %a" Var.Set.pp_xs zs pp_raw r' Var.Set.pp_xs ks ;
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invariant r' ;
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assert (Var.Set.subset ks ~of_:xs) ;
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assert (Var.Set.disjoint ks (fv r')) )
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@@ fun () ->
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if Subst.is_empty s then (Var.Set.empty, r, Var.Set.empty)
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else
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let zs, r = apply_subst wrt s r in
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if is_unsat r then (Var.Set.empty, unsat, Var.Set.empty)
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else
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let ks = trivial xs r in
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let r = trim ks r in
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(zs, r, ks)
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(* Replay debugging =======================================================*)
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type call =
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