Merge pull request #83 from AeneasVerif/son/backs

Remove the option to split the forward/backward functions

8 files changed, 0 insertions, 2372 deletions

diff --git a/tests/fstar-split/betree/BetreeMain.Clauses.Template.fst b/tests/fstar-split/betree/BetreeMain.Clauses.Template.fst
deleted file mode 100644
index 537705c5..00000000
--- a/tests/fstar-split/betree/BetreeMain.Clauses.Template.fst
+++ /dev/null
@@ -1,117 +0,0 @@
-(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *)
-(** [betree_main]: templates for the decreases clauses *)
-module BetreeMain.Clauses.Template
-open Primitives
-open BetreeMain.Types
-
-#set-options "--z3rlimit 50 --fuel 1 --ifuel 1"
-
-(** [betree_main::betree::{betree_main::betree::List<T>#1}::len]: decreases clause
-    Source: 'src/betree.rs', lines 276:4-276:24 *)
-unfold
-let betree_List_len_decreases (t : Type0) (self : betree_List_t t) : nat =
-  admit ()
-
-(** [betree_main::betree::{betree_main::betree::List<T>#1}::split_at]: decreases clause
-    Source: 'src/betree.rs', lines 284:4-284:51 *)
-unfold
-let betree_List_split_at_decreases (t : Type0) (self : betree_List_t t)
-  (n : u64) : nat =
-  admit ()
-
-(** [betree_main::betree::{betree_main::betree::List<(u64, T)>#2}::partition_at_pivot]: decreases clause
-    Source: 'src/betree.rs', lines 339:4-339:73 *)
-unfold
-let betree_ListTupleU64T_partition_at_pivot_decreases (t : Type0)
-  (self : betree_List_t (u64 & t)) (pivot : u64) : nat =
-  admit ()
-
-(** [betree_main::betree::{betree_main::betree::Node#5}::lookup_first_message_for_key]: decreases clause
-    Source: 'src/betree.rs', lines 789:4-792:34 *)
-unfold
-let betree_Node_lookup_first_message_for_key_decreases (key : u64)
-  (msgs : betree_List_t (u64 & betree_Message_t)) : nat =
-  admit ()
-
-(** [betree_main::betree::{betree_main::betree::Node#5}::lookup_in_bindings]: decreases clause
-    Source: 'src/betree.rs', lines 636:4-636:80 *)
-unfold
-let betree_Node_lookup_in_bindings_decreases (key : u64)
-  (bindings : betree_List_t (u64 & u64)) : nat =
-  admit ()
-
-(** [betree_main::betree::{betree_main::betree::Node#5}::apply_upserts]: decreases clause
-    Source: 'src/betree.rs', lines 819:4-819:90 *)
-unfold
-let betree_Node_apply_upserts_decreases
-  (msgs : betree_List_t (u64 & betree_Message_t)) (prev : option u64)
-  (key : u64) (st : state) : nat =
-  admit ()
-
-(** [betree_main::betree::{betree_main::betree::Internal#4}::lookup_in_children]: decreases clause
-    Source: 'src/betree.rs', lines 395:4-395:63 *)
-unfold
-let betree_Internal_lookup_in_children_decreases (self : betree_Internal_t)
-  (key : u64) (st : state) : nat =
-  admit ()
-
-(** [betree_main::betree::{betree_main::betree::Node#5}::lookup]: decreases clause
-    Source: 'src/betree.rs', lines 709:4-709:58 *)
-unfold
-let betree_Node_lookup_decreases (self : betree_Node_t) (key : u64)
-  (st : state) : nat =
-  admit ()
-
-(** [betree_main::betree::{betree_main::betree::Node#5}::filter_messages_for_key]: decreases clause
-    Source: 'src/betree.rs', lines 674:4-674:77 *)
-unfold
-let betree_Node_filter_messages_for_key_decreases (key : u64)
-  (msgs : betree_List_t (u64 & betree_Message_t)) : nat =
-  admit ()
-
-(** [betree_main::betree::{betree_main::betree::Node#5}::lookup_first_message_after_key]: decreases clause
-    Source: 'src/betree.rs', lines 689:4-692:34 *)
-unfold
-let betree_Node_lookup_first_message_after_key_decreases (key : u64)
-  (msgs : betree_List_t (u64 & betree_Message_t)) : nat =
-  admit ()
-
-(** [betree_main::betree::{betree_main::betree::Node#5}::apply_messages_to_internal]: decreases clause
-    Source: 'src/betree.rs', lines 502:4-505:5 *)
-unfold
-let betree_Node_apply_messages_to_internal_decreases
-  (msgs : betree_List_t (u64 & betree_Message_t))
-  (new_msgs : betree_List_t (u64 & betree_Message_t)) : nat =
-  admit ()
-
-(** [betree_main::betree::{betree_main::betree::Node#5}::lookup_mut_in_bindings]: decreases clause
-    Source: 'src/betree.rs', lines 653:4-656:32 *)
-unfold
-let betree_Node_lookup_mut_in_bindings_decreases (key : u64)
-  (bindings : betree_List_t (u64 & u64)) : nat =
-  admit ()
-
-(** [betree_main::betree::{betree_main::betree::Node#5}::apply_messages_to_leaf]: decreases clause
-    Source: 'src/betree.rs', lines 444:4-447:5 *)
-unfold
-let betree_Node_apply_messages_to_leaf_decreases
-  (bindings : betree_List_t (u64 & u64))
-  (new_msgs : betree_List_t (u64 & betree_Message_t)) : nat =
-  admit ()
-
-(** [betree_main::betree::{betree_main::betree::Internal#4}::flush]: decreases clause
-    Source: 'src/betree.rs', lines 410:4-415:26 *)
-unfold
-let betree_Internal_flush_decreases (self : betree_Internal_t)
-  (params : betree_Params_t) (node_id_cnt : betree_NodeIdCounter_t)
-  (content : betree_List_t (u64 & betree_Message_t)) (st : state) : nat =
-  admit ()
-
-(** [betree_main::betree::{betree_main::betree::Node#5}::apply_messages]: decreases clause
-    Source: 'src/betree.rs', lines 588:4-593:5 *)
-unfold
-let betree_Node_apply_messages_decreases (self : betree_Node_t)
-  (params : betree_Params_t) (node_id_cnt : betree_NodeIdCounter_t)
-  (msgs : betree_List_t (u64 & betree_Message_t)) (st : state) : nat =
-  admit ()
-
diff --git a/tests/fstar-split/betree/BetreeMain.Clauses.fst b/tests/fstar-split/betree/BetreeMain.Clauses.fst
deleted file mode 100644
index 21f953d1..00000000
--- a/tests/fstar-split/betree/BetreeMain.Clauses.fst
+++ /dev/null
@@ -1,210 +0,0 @@
-(** [betree_main]: templates for the decreases clauses *)
-module BetreeMain.Clauses
-open Primitives
-open BetreeMain.Types
-
-#set-options "--z3rlimit 50 --fuel 0 --ifuel 1"
-
-(*** Well-founded relations *)
-
-(* We had a few issues when proving termination of the mutually recursive functions:
- * - betree_Internal_flush
- * - betree_Node_apply_messages
- *
- * The quantity which effectively decreases is:
- *   (betree_size, messages_length)
- *   where messages_length is 0 when there are no messages
- *   (and where we use the lexicographic ordering, of course)
- *
- * However, the `%[...]` and `{:well-founded ...} notations are not available outside
- * of `decrease` clauses.
- * 
- * We thus resorted to writing and proving correct a well-founded relation over
- * pairs of natural numbers. The trick is that `<<` can be used outside of decrease
- * clauses, and can be used to trigger SMT patterns.
- *
- * What follows is adapted from:
- * https://www.fstar-lang.org/tutorial/book/part2/part2_well_founded.html
- *
- * Also, the following PR might make things easier:
- * https://github.com/FStarLang/FStar/pull/2561
- *)
-
-module P = FStar.Preorder
-module W = FStar.WellFounded
-module L = FStar.LexicographicOrdering
-
-let lt_nat (x y:nat) : Type = x < y == true
-let rec wf_lt_nat (x:nat)
-  : W.acc lt_nat x
-  = W.AccIntro (fun y _ -> wf_lt_nat y)
-
-// A type abbreviation for a pair of nats
-let nat_pair = (x:nat & nat)
-
-// Making a lexicographic ordering from a pair of nat ordering
-let lex_order_nat_pair  : P.relation nat_pair =
-  L.lex_t lt_nat (fun _ -> lt_nat)
-
-// The lex order on nat pairs is well-founded, using our general proof
-// of lexicographic composition of well-founded orders
-let lex_order_nat_pair_wf : W.well_founded lex_order_nat_pair =
-  L.lex_t_wf wf_lt_nat (fun _ -> wf_lt_nat)
-
-// A utility to introduce lt_nat
-let mk_lt_nat (x:nat) (y:nat { x < y }) : lt_nat x y =
-  let _ : equals (x < y) true = Refl in
-  ()
-    
-// A utility to make a lex ordering of nat pairs
-let mk_lex_order_nat_pair (xy0:nat_pair) 
-                          (xy1:nat_pair {
-                            let (|x0, y0|) = xy0 in
-                            let (|x1, y1|) = xy1 in
-                            x0 < x1 \/ (x0 == x1 /\ y0 < y1)
-                          }) : lex_order_nat_pair xy0 xy1 =
-  let (|x0, y0|) = xy0 in
-  let (|x1, y1|) = xy1 in
-  if x0 < x1 then L.Left_lex x0 x1 y0 y1 (mk_lt_nat x0 x1)
-  else L.Right_lex x0 y0 y1 (mk_lt_nat y0 y1)
-
-let rec coerce #a #r #x (p:W.acc #a r x) : Tot (W.acc r x) (decreases p) =
-  W.AccIntro (fun y r -> coerce (p.access_smaller y r))
-
-let coerce_wf #a #r (p: (x:a -> W.acc r x)) : x:a -> W.acc r x =
-  fun x -> coerce (p x)
-
-(* We need this axiom, which comes from the following discussion:
- * https://github.com/FStarLang/FStar/issues/1916
- * An issue here is that the `{well-founded ... }` notation
- *)
-assume
-val axiom_well_founded (a : Type) (rel : a -> a -> Type0)
-  (rwf : W.well_founded #a rel) (x y : a) :
-  Lemma (requires (rel x y)) (ensures (x << y))
-
-(* This lemma has a pattern (which makes it work) *)
-let wf_nat_pair_lem (p0 p1 : nat_pair) :
-  Lemma
-  (requires (
-    let (|x0, y0|) = p0 in
-    let (|x1, y1|) = p1 in
-    x0 < x1 || (x0 = x1 && y0 < y1)))
-  (ensures (p0 << p1))
-  [SMTPat (p0 << p1)] =
-  let rel = lex_order_nat_pair in
-  let rel_wf = lex_order_nat_pair_wf in
-  let _ = mk_lex_order_nat_pair p0 p1 in
-  assert(rel p0 p1);
-  axiom_well_founded nat_pair rel rel_wf p0 p1
-
-(*** Decrease clauses *)
-/// "Standard" decrease clauses
-
-(** [betree_main::betree::List::{1}::len]: decreases clause *)
-unfold
-let betree_List_len_decreases (t : Type0) (self : betree_List_t t) : betree_List_t t =
-  self
-
-(** [betree_main::betree::List::{1}::split_at]: decreases clause *)
-unfold
-let betree_List_split_at_decreases (t : Type0) (self : betree_List_t t)
-  (n : u64) : nat =
-  n
-
-(** [betree_main::betree::List::{2}::partition_at_pivot]: decreases clause *)
-unfold
-let betree_ListTupleU64T_partition_at_pivot_decreases (t : Type0)
-  (self : betree_List_t (u64 & t)) (pivot : u64) : betree_List_t (u64 & t) =
-  self
-
-(** [betree_main::betree::Node::{5}::lookup_in_bindings]: decreases clause *)
-unfold
-let betree_Node_lookup_in_bindings_decreases (key : u64)
-  (bindings : betree_List_t (u64 & u64)) : betree_List_t (u64 & u64) =
-  bindings
-
-(** [betree_main::betree::Node::{5}::lookup_first_message_for_key]: decreases clause *)
-unfold
-let betree_Node_lookup_first_message_for_key_decreases (key : u64)
-  (msgs : betree_List_t (u64 & betree_Message_t)) : betree_List_t (u64 & betree_Message_t) =
-  msgs
-
-(** [betree_main::betree::Node::{5}::apply_upserts]: decreases clause *)
-unfold
-let betree_Node_apply_upserts_decreases
-  (msgs : betree_List_t (u64 & betree_Message_t)) (prev : option u64)
-  (key : u64) (st : state) : betree_List_t (u64 & betree_Message_t) =
-  msgs
-
-(** [betree_main::betree::Internal::{4}::lookup_in_children]: decreases clause *)
-unfold
-let betree_Internal_lookup_in_children_decreases (self : betree_Internal_t)
-  (key : u64) (st : state) : betree_Internal_t =
-  self
-
-(** [betree_main::betree::Node::{5}::lookup]: decreases clause *)
-unfold
-let betree_Node_lookup_decreases (self : betree_Node_t) (key : u64)
-  (st : state) : betree_Node_t =
-  self
-
-(** [betree_main::betree::Node::{5}::lookup_mut_in_bindings]: decreases clause *)
-unfold
-let betree_Node_lookup_mut_in_bindings_decreases (key : u64)
-  (bindings : betree_List_t (u64 & u64)) : betree_List_t (u64 & u64) =
-  bindings
-
-unfold
-let betree_Node_apply_messages_to_leaf_decreases
-  (bindings : betree_List_t (u64 & u64))
-  (new_msgs : betree_List_t (u64 & betree_Message_t)) : betree_List_t (u64 & betree_Message_t) =
-  new_msgs
-
-(** [betree_main::betree::Node::{5}::filter_messages_for_key]: decreases clause *)
-unfold
-let betree_Node_filter_messages_for_key_decreases (key : u64)
-  (msgs : betree_List_t (u64 & betree_Message_t)) : betree_List_t (u64 & betree_Message_t) =
-  msgs
-
-(** [betree_main::betree::Node::{5}::lookup_first_message_after_key]: decreases clause *)
-unfold
-let betree_Node_lookup_first_message_after_key_decreases (key : u64)
-  (msgs : betree_List_t (u64 & betree_Message_t)) : betree_List_t (u64 & betree_Message_t) =
-  msgs
-
-let betree_Node_apply_messages_to_internal_decreases
-  (msgs : betree_List_t (u64 & betree_Message_t))
-  (new_msgs : betree_List_t (u64 & betree_Message_t)) : betree_List_t (u64 & betree_Message_t) =
-  new_msgs
-
-(*** Decrease clauses - nat_pair *)
-/// The following decrease clauses use the [nat_pair] definition and the well-founded
-/// relation proven above.
-
-let rec betree_size (bt : betree_Node_t) : nat =
-  match bt with
-  | Betree_Node_Internal node -> 1 + betree_Internal_size node
-  | Betree_Node_Leaf _ -> 1
-
-and betree_Internal_size (node : betree_Internal_t) : nat =
-  1 + betree_size node.left + betree_size node.right
-
-let rec betree_List_len (#a : Type0) (ls : betree_List_t a) : nat =
-  match ls with
-  | Betree_List_Cons _ tl -> 1 + betree_List_len tl
-  | Betree_List_Nil -> 0
-
-(** [betree_main::betree::Internal::{4}::flush]: decreases clause *)
-unfold
-let betree_Internal_flush_decreases (self : betree_Internal_t)
-  (params : betree_Params_t) (node_id_cnt : betree_NodeIdCounter_t)
-  (content : betree_List_t (u64 & betree_Message_t)) (st : state) : nat_pair =
-  (|betree_Internal_size self, 0|)
-
-(** [betree_main::betree::Node::{5}::apply_messages]: decreases clause *)
-unfold
-let betree_Node_apply_messages_decreases (self : betree_Node_t)
-  (params : betree_Params_t) (node_id_cnt : betree_NodeIdCounter_t)
-  (msgs : betree_List_t (u64 & betree_Message_t)) (st : state) : nat_pair =
-  (|betree_size self, betree_List_len msgs|)
diff --git a/tests/fstar-split/betree/BetreeMain.Funs.fst b/tests/fstar-split/betree/BetreeMain.Funs.fst
deleted file mode 100644
index 33133236..00000000
--- a/tests/fstar-split/betree/BetreeMain.Funs.fst
+++ /dev/null
@@ -1,1006 +0,0 @@
-(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *)
-(** [betree_main]: function definitions *)
-module BetreeMain.Funs
-open Primitives
-include BetreeMain.Types
-include BetreeMain.FunsExternal
-include BetreeMain.Clauses
-
-#set-options "--z3rlimit 50 --fuel 1 --ifuel 1"
-
-(** [betree_main::betree::load_internal_node]: forward function
-    Source: 'src/betree.rs', lines 36:0-36:52 *)
-let betree_load_internal_node
-  (id : u64) (st : state) :
-  result (state & (betree_List_t (u64 & betree_Message_t)))
-  =
-  betree_utils_load_internal_node id st
-
-(** [betree_main::betree::store_internal_node]: forward function
-    Source: 'src/betree.rs', lines 41:0-41:60 *)
-let betree_store_internal_node
-  (id : u64) (content : betree_List_t (u64 & betree_Message_t)) (st : state) :
-  result (state & unit)
-  =
-  let* (st1, _) = betree_utils_store_internal_node id content st in
-  Return (st1, ())
-
-(** [betree_main::betree::load_leaf_node]: forward function
-    Source: 'src/betree.rs', lines 46:0-46:44 *)
-let betree_load_leaf_node
-  (id : u64) (st : state) : result (state & (betree_List_t (u64 & u64))) =
-  betree_utils_load_leaf_node id st
-
-(** [betree_main::betree::store_leaf_node]: forward function
-    Source: 'src/betree.rs', lines 51:0-51:52 *)
-let betree_store_leaf_node
-  (id : u64) (content : betree_List_t (u64 & u64)) (st : state) :
-  result (state & unit)
-  =
-  let* (st1, _) = betree_utils_store_leaf_node id content st in
-  Return (st1, ())
-
-(** [betree_main::betree::fresh_node_id]: forward function
-    Source: 'src/betree.rs', lines 55:0-55:48 *)
-let betree_fresh_node_id (counter : u64) : result u64 =
-  let* _ = u64_add counter 1 in Return counter
-
-(** [betree_main::betree::fresh_node_id]: backward function 0
-    Source: 'src/betree.rs', lines 55:0-55:48 *)
-let betree_fresh_node_id_back (counter : u64) : result u64 =
-  u64_add counter 1
-
-(** [betree_main::betree::{betree_main::betree::NodeIdCounter}::new]: forward function
-    Source: 'src/betree.rs', lines 206:4-206:20 *)
-let betree_NodeIdCounter_new : result betree_NodeIdCounter_t =
-  Return { next_node_id = 0 }
-
-(** [betree_main::betree::{betree_main::betree::NodeIdCounter}::fresh_id]: forward function
-    Source: 'src/betree.rs', lines 210:4-210:36 *)
-let betree_NodeIdCounter_fresh_id
-  (self : betree_NodeIdCounter_t) : result u64 =
-  let* _ = u64_add self.next_node_id 1 in Return self.next_node_id
-
-(** [betree_main::betree::{betree_main::betree::NodeIdCounter}::fresh_id]: backward function 0
-    Source: 'src/betree.rs', lines 210:4-210:36 *)
-let betree_NodeIdCounter_fresh_id_back
-  (self : betree_NodeIdCounter_t) : result betree_NodeIdCounter_t =
-  let* i = u64_add self.next_node_id 1 in Return { next_node_id = i }
-
-(** [betree_main::betree::upsert_update]: forward function
-    Source: 'src/betree.rs', lines 234:0-234:70 *)
-let betree_upsert_update
-  (prev : option u64) (st : betree_UpsertFunState_t) : result u64 =
-  begin match prev with
-  | None ->
-    begin match st with
-    | Betree_UpsertFunState_Add v -> Return v
-    | Betree_UpsertFunState_Sub _ -> Return 0
-    end
-  | Some prev1 ->
-    begin match st with
-    | Betree_UpsertFunState_Add v ->
-      let* margin = u64_sub core_u64_max prev1 in
-      if margin >= v then u64_add prev1 v else Return core_u64_max
-    | Betree_UpsertFunState_Sub v ->
-      if prev1 >= v then u64_sub prev1 v else Return 0
-    end
-  end
-
-(** [betree_main::betree::{betree_main::betree::List<T>#1}::len]: forward function
-    Source: 'src/betree.rs', lines 276:4-276:24 *)
-let rec betree_List_len
-  (t : Type0) (self : betree_List_t t) :
-  Tot (result u64) (decreases (betree_List_len_decreases t self))
-  =
-  begin match self with
-  | Betree_List_Cons _ tl -> let* i = betree_List_len t tl in u64_add 1 i
-  | Betree_List_Nil -> Return 0
-  end
-
-(** [betree_main::betree::{betree_main::betree::List<T>#1}::split_at]: forward function
-    Source: 'src/betree.rs', lines 284:4-284:51 *)
-let rec betree_List_split_at
-  (t : Type0) (self : betree_List_t t) (n : u64) :
-  Tot (result ((betree_List_t t) & (betree_List_t t)))
-  (decreases (betree_List_split_at_decreases t self n))
-  =
-  if n = 0
-  then Return (Betree_List_Nil, self)
-  else
-    begin match self with
-    | Betree_List_Cons hd tl ->
-      let* i = u64_sub n 1 in
-      let* p = betree_List_split_at t tl i in
-      let (ls0, ls1) = p in
-      Return (Betree_List_Cons hd ls0, ls1)
-    | Betree_List_Nil -> Fail Failure
-    end
-
-(** [betree_main::betree::{betree_main::betree::List<T>#1}::push_front]: merged forward/backward function
-    (there is a single backward function, and the forward function returns ())
-    Source: 'src/betree.rs', lines 299:4-299:34 *)
-let betree_List_push_front
-  (t : Type0) (self : betree_List_t t) (x : t) : result (betree_List_t t) =
-  let tl = core_mem_replace (betree_List_t t) self Betree_List_Nil in
-  Return (Betree_List_Cons x tl)
-
-(** [betree_main::betree::{betree_main::betree::List<T>#1}::pop_front]: forward function
-    Source: 'src/betree.rs', lines 306:4-306:32 *)
-let betree_List_pop_front (t : Type0) (self : betree_List_t t) : result t =
-  let ls = core_mem_replace (betree_List_t t) self Betree_List_Nil in
-  begin match ls with
-  | Betree_List_Cons x _ -> Return x
-  | Betree_List_Nil -> Fail Failure
-  end
-
-(** [betree_main::betree::{betree_main::betree::List<T>#1}::pop_front]: backward function 0
-    Source: 'src/betree.rs', lines 306:4-306:32 *)
-let betree_List_pop_front_back
-  (t : Type0) (self : betree_List_t t) : result (betree_List_t t) =
-  let ls = core_mem_replace (betree_List_t t) self Betree_List_Nil in
-  begin match ls with
-  | Betree_List_Cons _ tl -> Return tl
-  | Betree_List_Nil -> Fail Failure
-  end
-
-(** [betree_main::betree::{betree_main::betree::List<T>#1}::hd]: forward function
-    Source: 'src/betree.rs', lines 318:4-318:22 *)
-let betree_List_hd (t : Type0) (self : betree_List_t t) : result t =
-  begin match self with
-  | Betree_List_Cons hd _ -> Return hd
-  | Betree_List_Nil -> Fail Failure
-  end
-
-(** [betree_main::betree::{betree_main::betree::List<(u64, T)>#2}::head_has_key]: forward function
-    Source: 'src/betree.rs', lines 327:4-327:44 *)
-let betree_ListTupleU64T_head_has_key
-  (t : Type0) (self : betree_List_t (u64 & t)) (key : u64) : result bool =
-  begin match self with
-  | Betree_List_Cons hd _ -> let (i, _) = hd in Return (i = key)
-  | Betree_List_Nil -> Return false
-  end
-
-(** [betree_main::betree::{betree_main::betree::List<(u64, T)>#2}::partition_at_pivot]: forward function
-    Source: 'src/betree.rs', lines 339:4-339:73 *)
-let rec betree_ListTupleU64T_partition_at_pivot
-  (t : Type0) (self : betree_List_t (u64 & t)) (pivot : u64) :
-  Tot (result ((betree_List_t (u64 & t)) & (betree_List_t (u64 & t))))
-  (decreases (betree_ListTupleU64T_partition_at_pivot_decreases t self pivot))
-  =
-  begin match self with
-  | Betree_List_Cons hd tl ->
-    let (i, x) = hd in
-    if i >= pivot
-    then Return (Betree_List_Nil, Betree_List_Cons (i, x) tl)
-    else
-      let* p = betree_ListTupleU64T_partition_at_pivot t tl pivot in
-      let (ls0, ls1) = p in
-      Return (Betree_List_Cons (i, x) ls0, ls1)
-  | Betree_List_Nil -> Return (Betree_List_Nil, Betree_List_Nil)
-  end
-
-(** [betree_main::betree::{betree_main::betree::Leaf#3}::split]: forward function
-    Source: 'src/betree.rs', lines 359:4-364:17 *)
-let betree_Leaf_split
-  (self : betree_Leaf_t) (content : betree_List_t (u64 & u64))
-  (params : betree_Params_t) (node_id_cnt : betree_NodeIdCounter_t)
-  (st : state) :
-  result (state & betree_Internal_t)
-  =
-  let* p = betree_List_split_at (u64 & u64) content params.split_size in
-  let (content0, content1) = p in
-  let* p1 = betree_List_hd (u64 & u64) content1 in
-  let (pivot, _) = p1 in
-  let* id0 = betree_NodeIdCounter_fresh_id node_id_cnt in
-  let* node_id_cnt1 = betree_NodeIdCounter_fresh_id_back node_id_cnt in
-  let* id1 = betree_NodeIdCounter_fresh_id node_id_cnt1 in
-  let* (st1, _) = betree_store_leaf_node id0 content0 st in
-  let* (st2, _) = betree_store_leaf_node id1 content1 st1 in
-  let n = Betree_Node_Leaf { id = id0; size = params.split_size } in
-  let n1 = Betree_Node_Leaf { id = id1; size = params.split_size } in
-  Return (st2, { id = self.id; pivot = pivot; left = n; right = n1 })
-
-(** [betree_main::betree::{betree_main::betree::Leaf#3}::split]: backward function 2
-    Source: 'src/betree.rs', lines 359:4-364:17 *)
-let betree_Leaf_split_back
-  (self : betree_Leaf_t) (content : betree_List_t (u64 & u64))
-  (params : betree_Params_t) (node_id_cnt : betree_NodeIdCounter_t)
-  (st : state) :
-  result betree_NodeIdCounter_t
-  =
-  let* p = betree_List_split_at (u64 & u64) content params.split_size in
-  let (content0, content1) = p in
-  let* _ = betree_List_hd (u64 & u64) content1 in
-  let* id0 = betree_NodeIdCounter_fresh_id node_id_cnt in
-  let* node_id_cnt1 = betree_NodeIdCounter_fresh_id_back node_id_cnt in
-  let* id1 = betree_NodeIdCounter_fresh_id node_id_cnt1 in
-  let* (st1, _) = betree_store_leaf_node id0 content0 st in
-  let* _ = betree_store_leaf_node id1 content1 st1 in
-  betree_NodeIdCounter_fresh_id_back node_id_cnt1
-
-(** [betree_main::betree::{betree_main::betree::Node#5}::lookup_first_message_for_key]: forward function
-    Source: 'src/betree.rs', lines 789:4-792:34 *)
-let rec betree_Node_lookup_first_message_for_key
-  (key : u64) (msgs : betree_List_t (u64 & betree_Message_t)) :
-  Tot (result (betree_List_t (u64 & betree_Message_t)))
-  (decreases (betree_Node_lookup_first_message_for_key_decreases key msgs))
-  =
-  begin match msgs with
-  | Betree_List_Cons x next_msgs ->
-    let (i, m) = x in
-    if i >= key
-    then Return (Betree_List_Cons (i, m) next_msgs)
-    else betree_Node_lookup_first_message_for_key key next_msgs
-  | Betree_List_Nil -> Return Betree_List_Nil
-  end
-
-(** [betree_main::betree::{betree_main::betree::Node#5}::lookup_first_message_for_key]: backward function 0
-    Source: 'src/betree.rs', lines 789:4-792:34 *)
-let rec betree_Node_lookup_first_message_for_key_back
-  (key : u64) (msgs : betree_List_t (u64 & betree_Message_t))
-  (ret : betree_List_t (u64 & betree_Message_t)) :
-  Tot (result (betree_List_t (u64 & betree_Message_t)))
-  (decreases (betree_Node_lookup_first_message_for_key_decreases key msgs))
-  =
-  begin match msgs with
-  | Betree_List_Cons x next_msgs ->
-    let (i, m) = x in
-    if i >= key
-    then Return ret
-    else
-      let* next_msgs1 =
-        betree_Node_lookup_first_message_for_key_back key next_msgs ret in
-      Return (Betree_List_Cons (i, m) next_msgs1)
-  | Betree_List_Nil -> Return ret
-  end
-
-(** [betree_main::betree::{betree_main::betree::Node#5}::lookup_in_bindings]: forward function
-    Source: 'src/betree.rs', lines 636:4-636:80 *)
-let rec betree_Node_lookup_in_bindings
-  (key : u64) (bindings : betree_List_t (u64 & u64)) :
-  Tot (result (option u64))
-  (decreases (betree_Node_lookup_in_bindings_decreases key bindings))
-  =
-  begin match bindings with
-  | Betree_List_Cons hd tl ->
-    let (i, i1) = hd in
-    if i = key
-    then Return (Some i1)
-    else if i > key then Return None else betree_Node_lookup_in_bindings key tl
-  | Betree_List_Nil -> Return None
-  end
-
-(** [betree_main::betree::{betree_main::betree::Node#5}::apply_upserts]: forward function
-    Source: 'src/betree.rs', lines 819:4-819:90 *)
-let rec betree_Node_apply_upserts
-  (msgs : betree_List_t (u64 & betree_Message_t)) (prev : option u64)
-  (key : u64) (st : state) :
-  Tot (result (state & u64))
-  (decreases (betree_Node_apply_upserts_decreases msgs prev key st))
-  =
-  let* b = betree_ListTupleU64T_head_has_key betree_Message_t msgs key in
-  if b
-  then
-    let* msg = betree_List_pop_front (u64 & betree_Message_t) msgs in
-    let (_, m) = msg in
-    begin match m with
-    | Betree_Message_Insert _ -> Fail Failure
-    | Betree_Message_Delete -> Fail Failure
-    | Betree_Message_Upsert s ->
-      let* v = betree_upsert_update prev s in
-      let* msgs1 = betree_List_pop_front_back (u64 & betree_Message_t) msgs in
-      betree_Node_apply_upserts msgs1 (Some v) key st
-    end
-  else
-    let* (st1, v) = core_option_Option_unwrap u64 prev st in
-    let* _ =
-      betree_List_push_front (u64 & betree_Message_t) msgs (key,
-        Betree_Message_Insert v) in
-    Return (st1, v)
-
-(** [betree_main::betree::{betree_main::betree::Node#5}::apply_upserts]: backward function 0
-    Source: 'src/betree.rs', lines 819:4-819:90 *)
-let rec betree_Node_apply_upserts_back
-  (msgs : betree_List_t (u64 & betree_Message_t)) (prev : option u64)
-  (key : u64) (st : state) :
-  Tot (result (betree_List_t (u64 & betree_Message_t)))
-  (decreases (betree_Node_apply_upserts_decreases msgs prev key st))
-  =
-  let* b = betree_ListTupleU64T_head_has_key betree_Message_t msgs key in
-  if b
-  then
-    let* msg = betree_List_pop_front (u64 & betree_Message_t) msgs in
-    let (_, m) = msg in
-    begin match m with
-    | Betree_Message_Insert _ -> Fail Failure
-    | Betree_Message_Delete -> Fail Failure
-    | Betree_Message_Upsert s ->
-      let* v = betree_upsert_update prev s in
-      let* msgs1 = betree_List_pop_front_back (u64 & betree_Message_t) msgs in
-      betree_Node_apply_upserts_back msgs1 (Some v) key st
-    end
-  else
-    let* (_, v) = core_option_Option_unwrap u64 prev st in
-    betree_List_push_front (u64 & betree_Message_t) msgs (key,
-      Betree_Message_Insert v)
-
-(** [betree_main::betree::{betree_main::betree::Internal#4}::lookup_in_children]: forward function
-    Source: 'src/betree.rs', lines 395:4-395:63 *)
-let rec betree_Internal_lookup_in_children
-  (self : betree_Internal_t) (key : u64) (st : state) :
-  Tot (result (state & (option u64)))
-  (decreases (betree_Internal_lookup_in_children_decreases self key st))
-  =
-  if key < self.pivot
-  then betree_Node_lookup self.left key st
-  else betree_Node_lookup self.right key st
-
-(** [betree_main::betree::{betree_main::betree::Internal#4}::lookup_in_children]: backward function 0
-    Source: 'src/betree.rs', lines 395:4-395:63 *)
-and betree_Internal_lookup_in_children_back
-  (self : betree_Internal_t) (key : u64) (st : state) :
-  Tot (result betree_Internal_t)
-  (decreases (betree_Internal_lookup_in_children_decreases self key st))
-  =
-  if key < self.pivot
-  then
-    let* n = betree_Node_lookup_back self.left key st in
-    Return { self with left = n }
-  else
-    let* n = betree_Node_lookup_back self.right key st in
-    Return { self with right = n }
-
-(** [betree_main::betree::{betree_main::betree::Node#5}::lookup]: forward function
-    Source: 'src/betree.rs', lines 709:4-709:58 *)
-and betree_Node_lookup
-  (self : betree_Node_t) (key : u64) (st : state) :
-  Tot (result (state & (option u64)))
-  (decreases (betree_Node_lookup_decreases self key st))
-  =
-  begin match self with
-  | Betree_Node_Internal node ->
-    let* (st1, msgs) = betree_load_internal_node node.id st in
-    let* pending = betree_Node_lookup_first_message_for_key key msgs in
-    begin match pending with
-    | Betree_List_Cons p l ->
-      let (k, msg) = p in
-      if k <> key
-      then
-        let* (st2, o) = betree_Internal_lookup_in_children node key st1 in
-        let* _ =
-          betree_Node_lookup_first_message_for_key_back key msgs
-            (Betree_List_Cons (k, msg) l) in
-        Return (st2, o)
-      else
-        begin match msg with
-        | Betree_Message_Insert v ->
-          let* _ =
-            betree_Node_lookup_first_message_for_key_back key msgs
-              (Betree_List_Cons (k, Betree_Message_Insert v) l) in
-          Return (st1, Some v)
-        | Betree_Message_Delete ->
-          let* _ =
-            betree_Node_lookup_first_message_for_key_back key msgs
-              (Betree_List_Cons (k, Betree_Message_Delete) l) in
-          Return (st1, None)
-        | Betree_Message_Upsert ufs ->
-          let* (st2, v) = betree_Internal_lookup_in_children node key st1 in
-          let* (st3, v1) =
-            betree_Node_apply_upserts (Betree_List_Cons (k,
-              Betree_Message_Upsert ufs) l) v key st2 in
-          let* node1 = betree_Internal_lookup_in_children_back node key st1 in
-          let* pending1 =
-            betree_Node_apply_upserts_back (Betree_List_Cons (k,
-              Betree_Message_Upsert ufs) l) v key st2 in
-          let* msgs1 =
-            betree_Node_lookup_first_message_for_key_back key msgs pending1 in
-          let* (st4, _) = betree_store_internal_node node1.id msgs1 st3 in
-          Return (st4, Some v1)
-        end
-    | Betree_List_Nil ->
-      let* (st2, o) = betree_Internal_lookup_in_children node key st1 in
-      let* _ =
-        betree_Node_lookup_first_message_for_key_back key msgs Betree_List_Nil
-        in
-      Return (st2, o)
-    end
-  | Betree_Node_Leaf node ->
-    let* (st1, bindings) = betree_load_leaf_node node.id st in
-    let* o = betree_Node_lookup_in_bindings key bindings in
-    Return (st1, o)
-  end
-
-(** [betree_main::betree::{betree_main::betree::Node#5}::lookup]: backward function 0
-    Source: 'src/betree.rs', lines 709:4-709:58 *)
-and betree_Node_lookup_back
-  (self : betree_Node_t) (key : u64) (st : state) :
-  Tot (result betree_Node_t)
-  (decreases (betree_Node_lookup_decreases self key st))
-  =
-  begin match self with
-  | Betree_Node_Internal node ->
-    let* (st1, msgs) = betree_load_internal_node node.id st in
-    let* pending = betree_Node_lookup_first_message_for_key key msgs in
-    begin match pending with
-    | Betree_List_Cons p l ->
-      let (k, msg) = p in
-      if k <> key
-      then
-        let* _ =
-          betree_Node_lookup_first_message_for_key_back key msgs
-            (Betree_List_Cons (k, msg) l) in
-        let* node1 = betree_Internal_lookup_in_children_back node key st1 in
-        Return (Betree_Node_Internal node1)
-      else
-        begin match msg with
-        | Betree_Message_Insert v ->
-          let* _ =
-            betree_Node_lookup_first_message_for_key_back key msgs
-              (Betree_List_Cons (k, Betree_Message_Insert v) l) in
-          Return (Betree_Node_Internal node)
-        | Betree_Message_Delete ->
-          let* _ =
-            betree_Node_lookup_first_message_for_key_back key msgs
-              (Betree_List_Cons (k, Betree_Message_Delete) l) in
-          Return (Betree_Node_Internal node)
-        | Betree_Message_Upsert ufs ->
-          let* (st2, v) = betree_Internal_lookup_in_children node key st1 in
-          let* (st3, _) =
-            betree_Node_apply_upserts (Betree_List_Cons (k,
-              Betree_Message_Upsert ufs) l) v key st2 in
-          let* node1 = betree_Internal_lookup_in_children_back node key st1 in
-          let* pending1 =
-            betree_Node_apply_upserts_back (Betree_List_Cons (k,
-              Betree_Message_Upsert ufs) l) v key st2 in
-          let* msgs1 =
-            betree_Node_lookup_first_message_for_key_back key msgs pending1 in
-          let* _ = betree_store_internal_node node1.id msgs1 st3 in
-          Return (Betree_Node_Internal node1)
-        end
-    | Betree_List_Nil ->
-      let* _ =
-        betree_Node_lookup_first_message_for_key_back key msgs Betree_List_Nil
-        in
-      let* node1 = betree_Internal_lookup_in_children_back node key st1 in
-      Return (Betree_Node_Internal node1)
-    end
-  | Betree_Node_Leaf node ->
-    let* (_, bindings) = betree_load_leaf_node node.id st in
-    let* _ = betree_Node_lookup_in_bindings key bindings in
-    Return (Betree_Node_Leaf node)
-  end
-
-(** [betree_main::betree::{betree_main::betree::Node#5}::filter_messages_for_key]: merged forward/backward function
-    (there is a single backward function, and the forward function returns ())
-    Source: 'src/betree.rs', lines 674:4-674:77 *)
-let rec betree_Node_filter_messages_for_key
-  (key : u64) (msgs : betree_List_t (u64 & betree_Message_t)) :
-  Tot (result (betree_List_t (u64 & betree_Message_t)))
-  (decreases (betree_Node_filter_messages_for_key_decreases key msgs))
-  =
-  begin match msgs with
-  | Betree_List_Cons p l ->
-    let (k, m) = p in
-    if k = key
-    then
-      let* msgs1 =
-        betree_List_pop_front_back (u64 & betree_Message_t) (Betree_List_Cons
-          (k, m) l) in
-      betree_Node_filter_messages_for_key key msgs1
-    else Return (Betree_List_Cons (k, m) l)
-  | Betree_List_Nil -> Return Betree_List_Nil
-  end
-
-(** [betree_main::betree::{betree_main::betree::Node#5}::lookup_first_message_after_key]: forward function
-    Source: 'src/betree.rs', lines 689:4-692:34 *)
-let rec betree_Node_lookup_first_message_after_key
-  (key : u64) (msgs : betree_List_t (u64 & betree_Message_t)) :
-  Tot (result (betree_List_t (u64 & betree_Message_t)))
-  (decreases (betree_Node_lookup_first_message_after_key_decreases key msgs))
-  =
-  begin match msgs with
-  | Betree_List_Cons p next_msgs ->
-    let (k, m) = p in
-    if k = key
-    then betree_Node_lookup_first_message_after_key key next_msgs
-    else Return (Betree_List_Cons (k, m) next_msgs)
-  | Betree_List_Nil -> Return Betree_List_Nil
-  end
-
-(** [betree_main::betree::{betree_main::betree::Node#5}::lookup_first_message_after_key]: backward function 0
-    Source: 'src/betree.rs', lines 689:4-692:34 *)
-let rec betree_Node_lookup_first_message_after_key_back
-  (key : u64) (msgs : betree_List_t (u64 & betree_Message_t))
-  (ret : betree_List_t (u64 & betree_Message_t)) :
-  Tot (result (betree_List_t (u64 & betree_Message_t)))
-  (decreases (betree_Node_lookup_first_message_after_key_decreases key msgs))
-  =
-  begin match msgs with
-  | Betree_List_Cons p next_msgs ->
-    let (k, m) = p in
-    if k = key
-    then
-      let* next_msgs1 =
-        betree_Node_lookup_first_message_after_key_back key next_msgs ret in
-      Return (Betree_List_Cons (k, m) next_msgs1)
-    else Return ret
-  | Betree_List_Nil -> Return ret
-  end
-
-(** [betree_main::betree::{betree_main::betree::Node#5}::apply_to_internal]: merged forward/backward function
-    (there is a single backward function, and the forward function returns ())
-    Source: 'src/betree.rs', lines 521:4-521:89 *)
-let betree_Node_apply_to_internal
-  (msgs : betree_List_t (u64 & betree_Message_t)) (key : u64)
-  (new_msg : betree_Message_t) :
-  result (betree_List_t (u64 & betree_Message_t))
-  =
-  let* msgs1 = betree_Node_lookup_first_message_for_key key msgs in
-  let* b = betree_ListTupleU64T_head_has_key betree_Message_t msgs1 key in
-  if b
-  then
-    begin match new_msg with
-    | Betree_Message_Insert i ->
-      let* msgs2 = betree_Node_filter_messages_for_key key msgs1 in
-      let* msgs3 =
-        betree_List_push_front (u64 & betree_Message_t) msgs2 (key,
-          Betree_Message_Insert i) in
-      betree_Node_lookup_first_message_for_key_back key msgs msgs3
-    | Betree_Message_Delete ->
-      let* msgs2 = betree_Node_filter_messages_for_key key msgs1 in
-      let* msgs3 =
-        betree_List_push_front (u64 & betree_Message_t) msgs2 (key,
-          Betree_Message_Delete) in
-      betree_Node_lookup_first_message_for_key_back key msgs msgs3
-    | Betree_Message_Upsert s ->
-      let* p = betree_List_hd (u64 & betree_Message_t) msgs1 in
-      let (_, m) = p in
-      begin match m with
-      | Betree_Message_Insert prev ->
-        let* v = betree_upsert_update (Some prev) s in
-        let* msgs2 = betree_List_pop_front_back (u64 & betree_Message_t) msgs1
-          in
-        let* msgs3 =
-          betree_List_push_front (u64 & betree_Message_t) msgs2 (key,
-            Betree_Message_Insert v) in
-        betree_Node_lookup_first_message_for_key_back key msgs msgs3
-      | Betree_Message_Delete ->
-        let* v = betree_upsert_update None s in
-        let* msgs2 = betree_List_pop_front_back (u64 & betree_Message_t) msgs1
-          in
-        let* msgs3 =
-          betree_List_push_front (u64 & betree_Message_t) msgs2 (key,
-            Betree_Message_Insert v) in
-        betree_Node_lookup_first_message_for_key_back key msgs msgs3
-      | Betree_Message_Upsert _ ->
-        let* msgs2 = betree_Node_lookup_first_message_after_key key msgs1 in
-        let* msgs3 =
-          betree_List_push_front (u64 & betree_Message_t) msgs2 (key,
-            Betree_Message_Upsert s) in
-        let* msgs4 =
-          betree_Node_lookup_first_message_after_key_back key msgs1 msgs3 in
-        betree_Node_lookup_first_message_for_key_back key msgs msgs4
-      end
-    end
-  else
-    let* msgs2 =
-      betree_List_push_front (u64 & betree_Message_t) msgs1 (key, new_msg) in
-    betree_Node_lookup_first_message_for_key_back key msgs msgs2
-
-(** [betree_main::betree::{betree_main::betree::Node#5}::apply_messages_to_internal]: merged forward/backward function
-    (there is a single backward function, and the forward function returns ())
-    Source: 'src/betree.rs', lines 502:4-505:5 *)
-let rec betree_Node_apply_messages_to_internal
-  (msgs : betree_List_t (u64 & betree_Message_t))
-  (new_msgs : betree_List_t (u64 & betree_Message_t)) :
-  Tot (result (betree_List_t (u64 & betree_Message_t)))
-  (decreases (betree_Node_apply_messages_to_internal_decreases msgs new_msgs))
-  =
-  begin match new_msgs with
-  | Betree_List_Cons new_msg new_msgs_tl ->
-    let (i, m) = new_msg in
-    let* msgs1 = betree_Node_apply_to_internal msgs i m in
-    betree_Node_apply_messages_to_internal msgs1 new_msgs_tl
-  | Betree_List_Nil -> Return msgs
-  end
-
-(** [betree_main::betree::{betree_main::betree::Node#5}::lookup_mut_in_bindings]: forward function
-    Source: 'src/betree.rs', lines 653:4-656:32 *)
-let rec betree_Node_lookup_mut_in_bindings
-  (key : u64) (bindings : betree_List_t (u64 & u64)) :
-  Tot (result (betree_List_t (u64 & u64)))
-  (decreases (betree_Node_lookup_mut_in_bindings_decreases key bindings))
-  =
-  begin match bindings with
-  | Betree_List_Cons hd tl ->
-    let (i, i1) = hd in
-    if i >= key
-    then Return (Betree_List_Cons (i, i1) tl)
-    else betree_Node_lookup_mut_in_bindings key tl
-  | Betree_List_Nil -> Return Betree_List_Nil
-  end
-
-(** [betree_main::betree::{betree_main::betree::Node#5}::lookup_mut_in_bindings]: backward function 0
-    Source: 'src/betree.rs', lines 653:4-656:32 *)
-let rec betree_Node_lookup_mut_in_bindings_back
-  (key : u64) (bindings : betree_List_t (u64 & u64))
-  (ret : betree_List_t (u64 & u64)) :
-  Tot (result (betree_List_t (u64 & u64)))
-  (decreases (betree_Node_lookup_mut_in_bindings_decreases key bindings))
-  =
-  begin match bindings with
-  | Betree_List_Cons hd tl ->
-    let (i, i1) = hd in
-    if i >= key
-    then Return ret
-    else
-      let* tl1 = betree_Node_lookup_mut_in_bindings_back key tl ret in
-      Return (Betree_List_Cons (i, i1) tl1)
-  | Betree_List_Nil -> Return ret
-  end
-
-(** [betree_main::betree::{betree_main::betree::Node#5}::apply_to_leaf]: merged forward/backward function
-    (there is a single backward function, and the forward function returns ())
-    Source: 'src/betree.rs', lines 460:4-460:87 *)
-let betree_Node_apply_to_leaf
-  (bindings : betree_List_t (u64 & u64)) (key : u64)
-  (new_msg : betree_Message_t) :
-  result (betree_List_t (u64 & u64))
-  =
-  let* bindings1 = betree_Node_lookup_mut_in_bindings key bindings in
-  let* b = betree_ListTupleU64T_head_has_key u64 bindings1 key in
-  if b
-  then
-    let* hd = betree_List_pop_front (u64 & u64) bindings1 in
-    begin match new_msg with
-    | Betree_Message_Insert v ->
-      let* bindings2 = betree_List_pop_front_back (u64 & u64) bindings1 in
-      let* bindings3 = betree_List_push_front (u64 & u64) bindings2 (key, v) in
-      betree_Node_lookup_mut_in_bindings_back key bindings bindings3
-    | Betree_Message_Delete ->
-      let* bindings2 = betree_List_pop_front_back (u64 & u64) bindings1 in
-      betree_Node_lookup_mut_in_bindings_back key bindings bindings2
-    | Betree_Message_Upsert s ->
-      let (_, i) = hd in
-      let* v = betree_upsert_update (Some i) s in
-      let* bindings2 = betree_List_pop_front_back (u64 & u64) bindings1 in
-      let* bindings3 = betree_List_push_front (u64 & u64) bindings2 (key, v) in
-      betree_Node_lookup_mut_in_bindings_back key bindings bindings3
-    end
-  else
-    begin match new_msg with
-    | Betree_Message_Insert v ->
-      let* bindings2 = betree_List_push_front (u64 & u64) bindings1 (key, v) in
-      betree_Node_lookup_mut_in_bindings_back key bindings bindings2
-    | Betree_Message_Delete ->
-      betree_Node_lookup_mut_in_bindings_back key bindings bindings1
-    | Betree_Message_Upsert s ->
-      let* v = betree_upsert_update None s in
-      let* bindings2 = betree_List_push_front (u64 & u64) bindings1 (key, v) in
-      betree_Node_lookup_mut_in_bindings_back key bindings bindings2
-    end
-
-(** [betree_main::betree::{betree_main::betree::Node#5}::apply_messages_to_leaf]: merged forward/backward function
-    (there is a single backward function, and the forward function returns ())
-    Source: 'src/betree.rs', lines 444:4-447:5 *)
-let rec betree_Node_apply_messages_to_leaf
-  (bindings : betree_List_t (u64 & u64))
-  (new_msgs : betree_List_t (u64 & betree_Message_t)) :
-  Tot (result (betree_List_t (u64 & u64)))
-  (decreases (betree_Node_apply_messages_to_leaf_decreases bindings new_msgs))
-  =
-  begin match new_msgs with
-  | Betree_List_Cons new_msg new_msgs_tl ->
-    let (i, m) = new_msg in
-    let* bindings1 = betree_Node_apply_to_leaf bindings i m in
-    betree_Node_apply_messages_to_leaf bindings1 new_msgs_tl
-  | Betree_List_Nil -> Return bindings
-  end
-
-(** [betree_main::betree::{betree_main::betree::Internal#4}::flush]: forward function
-    Source: 'src/betree.rs', lines 410:4-415:26 *)
-let rec betree_Internal_flush
-  (self : betree_Internal_t) (params : betree_Params_t)
-  (node_id_cnt : betree_NodeIdCounter_t)
-  (content : betree_List_t (u64 & betree_Message_t)) (st : state) :
-  Tot (result (state & (betree_List_t (u64 & betree_Message_t))))
-  (decreases (
-    betree_Internal_flush_decreases self params node_id_cnt content st))
-  =
-  let* p =
-    betree_ListTupleU64T_partition_at_pivot betree_Message_t content self.pivot
-    in
-  let (msgs_left, msgs_right) = p in
-  let* len_left = betree_List_len (u64 & betree_Message_t) msgs_left in
-  if len_left >= params.min_flush_size
-  then
-    let* (st1, _) =
-      betree_Node_apply_messages self.left params node_id_cnt msgs_left st in
-    let* (_, node_id_cnt1) =
-      betree_Node_apply_messages_back self.left params node_id_cnt msgs_left st
-      in
-    let* len_right = betree_List_len (u64 & betree_Message_t) msgs_right in
-    if len_right >= params.min_flush_size
-    then
-      let* (st2, _) =
-        betree_Node_apply_messages self.right params node_id_cnt1 msgs_right
-          st1 in
-      let* _ =
-        betree_Node_apply_messages_back self.right params node_id_cnt1
-          msgs_right st1 in
-      Return (st2, Betree_List_Nil)
-    else Return (st1, msgs_right)
-  else
-    let* (st1, _) =
-      betree_Node_apply_messages self.right params node_id_cnt msgs_right st in
-    let* _ =
-      betree_Node_apply_messages_back self.right params node_id_cnt msgs_right
-        st in
-    Return (st1, msgs_left)
-
-(** [betree_main::betree::{betree_main::betree::Internal#4}::flush]: backward function 0
-    Source: 'src/betree.rs', lines 410:4-415:26 *)
-and betree_Internal_flush_back
-  (self : betree_Internal_t) (params : betree_Params_t)
-  (node_id_cnt : betree_NodeIdCounter_t)
-  (content : betree_List_t (u64 & betree_Message_t)) (st : state) :
-  Tot (result (betree_Internal_t & betree_NodeIdCounter_t))
-  (decreases (
-    betree_Internal_flush_decreases self params node_id_cnt content st))
-  =
-  let* p =
-    betree_ListTupleU64T_partition_at_pivot betree_Message_t content self.pivot
-    in
-  let (msgs_left, msgs_right) = p in
-  let* len_left = betree_List_len (u64 & betree_Message_t) msgs_left in
-  if len_left >= params.min_flush_size
-  then
-    let* (st1, _) =
-      betree_Node_apply_messages self.left params node_id_cnt msgs_left st in
-    let* (n, node_id_cnt1) =
-      betree_Node_apply_messages_back self.left params node_id_cnt msgs_left st
-      in
-    let* len_right = betree_List_len (u64 & betree_Message_t) msgs_right in
-    if len_right >= params.min_flush_size
-    then
-      let* (n1, node_id_cnt2) =
-        betree_Node_apply_messages_back self.right params node_id_cnt1
-          msgs_right st1 in
-      Return ({ self with left = n; right = n1 }, node_id_cnt2)
-    else Return ({ self with left = n }, node_id_cnt1)
-  else
-    let* (n, node_id_cnt1) =
-      betree_Node_apply_messages_back self.right params node_id_cnt msgs_right
-        st in
-    Return ({ self with right = n }, node_id_cnt1)
-
-(** [betree_main::betree::{betree_main::betree::Node#5}::apply_messages]: forward function
-    Source: 'src/betree.rs', lines 588:4-593:5 *)
-and betree_Node_apply_messages
-  (self : betree_Node_t) (params : betree_Params_t)
-  (node_id_cnt : betree_NodeIdCounter_t)
-  (msgs : betree_List_t (u64 & betree_Message_t)) (st : state) :
-  Tot (result (state & unit))
-  (decreases (
-    betree_Node_apply_messages_decreases self params node_id_cnt msgs st))
-  =
-  begin match self with
-  | Betree_Node_Internal node ->
-    let* (st1, content) = betree_load_internal_node node.id st in
-    let* content1 = betree_Node_apply_messages_to_internal content msgs in
-    let* num_msgs = betree_List_len (u64 & betree_Message_t) content1 in
-    if num_msgs >= params.min_flush_size
-    then
-      let* (st2, content2) =
-        betree_Internal_flush node params node_id_cnt content1 st1 in
-      let* (node1, _) =
-        betree_Internal_flush_back node params node_id_cnt content1 st1 in
-      let* (st3, _) = betree_store_internal_node node1.id content2 st2 in
-      Return (st3, ())
-    else
-      let* (st2, _) = betree_store_internal_node node.id content1 st1 in
-      Return (st2, ())
-  | Betree_Node_Leaf node ->
-    let* (st1, content) = betree_load_leaf_node node.id st in
-    let* content1 = betree_Node_apply_messages_to_leaf content msgs in
-    let* len = betree_List_len (u64 & u64) content1 in
-    let* i = u64_mul 2 params.split_size in
-    if len >= i
-    then
-      let* (st2, _) = betree_Leaf_split node content1 params node_id_cnt st1 in
-      let* (st3, _) = betree_store_leaf_node node.id Betree_List_Nil st2 in
-      Return (st3, ())
-    else
-      let* (st2, _) = betree_store_leaf_node node.id content1 st1 in
-      Return (st2, ())
-  end
-
-(** [betree_main::betree::{betree_main::betree::Node#5}::apply_messages]: backward function 0
-    Source: 'src/betree.rs', lines 588:4-593:5 *)
-and betree_Node_apply_messages_back
-  (self : betree_Node_t) (params : betree_Params_t)
-  (node_id_cnt : betree_NodeIdCounter_t)
-  (msgs : betree_List_t (u64 & betree_Message_t)) (st : state) :
-  Tot (result (betree_Node_t & betree_NodeIdCounter_t))
-  (decreases (
-    betree_Node_apply_messages_decreases self params node_id_cnt msgs st))
-  =
-  begin match self with
-  | Betree_Node_Internal node ->
-    let* (st1, content) = betree_load_internal_node node.id st in
-    let* content1 = betree_Node_apply_messages_to_internal content msgs in
-    let* num_msgs = betree_List_len (u64 & betree_Message_t) content1 in
-    if num_msgs >= params.min_flush_size
-    then
-      let* (st2, content2) =
-        betree_Internal_flush node params node_id_cnt content1 st1 in
-      let* (node1, node_id_cnt1) =
-        betree_Internal_flush_back node params node_id_cnt content1 st1 in
-      let* _ = betree_store_internal_node node1.id content2 st2 in
-      Return (Betree_Node_Internal node1, node_id_cnt1)
-    else
-      let* _ = betree_store_internal_node node.id content1 st1 in
-      Return (Betree_Node_Internal node, node_id_cnt)
-  | Betree_Node_Leaf node ->
-    let* (st1, content) = betree_load_leaf_node node.id st in
-    let* content1 = betree_Node_apply_messages_to_leaf content msgs in
-    let* len = betree_List_len (u64 & u64) content1 in
-    let* i = u64_mul 2 params.split_size in
-    if len >= i
-    then
-      let* (st2, new_node) =
-        betree_Leaf_split node content1 params node_id_cnt st1 in
-      let* _ = betree_store_leaf_node node.id Betree_List_Nil st2 in
-      let* node_id_cnt1 =
-        betree_Leaf_split_back node content1 params node_id_cnt st1 in
-      Return (Betree_Node_Internal new_node, node_id_cnt1)
-    else
-      let* _ = betree_store_leaf_node node.id content1 st1 in
-      Return (Betree_Node_Leaf { node with size = len }, node_id_cnt)
-  end
-
-(** [betree_main::betree::{betree_main::betree::Node#5}::apply]: forward function
-    Source: 'src/betree.rs', lines 576:4-582:5 *)
-let betree_Node_apply
-  (self : betree_Node_t) (params : betree_Params_t)
-  (node_id_cnt : betree_NodeIdCounter_t) (key : u64)
-  (new_msg : betree_Message_t) (st : state) :
-  result (state & unit)
-  =
-  let* (st1, _) =
-    betree_Node_apply_messages self params node_id_cnt (Betree_List_Cons (key,
-      new_msg) Betree_List_Nil) st in
-  let* _ =
-    betree_Node_apply_messages_back self params node_id_cnt (Betree_List_Cons
-      (key, new_msg) Betree_List_Nil) st in
-  Return (st1, ())
-
-(** [betree_main::betree::{betree_main::betree::Node#5}::apply]: backward function 0
-    Source: 'src/betree.rs', lines 576:4-582:5 *)
-let betree_Node_apply_back
-  (self : betree_Node_t) (params : betree_Params_t)
-  (node_id_cnt : betree_NodeIdCounter_t) (key : u64)
-  (new_msg : betree_Message_t) (st : state) :
-  result (betree_Node_t & betree_NodeIdCounter_t)
-  =
-  betree_Node_apply_messages_back self params node_id_cnt (Betree_List_Cons
-    (key, new_msg) Betree_List_Nil) st
-
-(** [betree_main::betree::{betree_main::betree::BeTree#6}::new]: forward function
-    Source: 'src/betree.rs', lines 849:4-849:60 *)
-let betree_BeTree_new
-  (min_flush_size : u64) (split_size : u64) (st : state) :
-  result (state & betree_BeTree_t)
-  =
-  let* node_id_cnt = betree_NodeIdCounter_new in
-  let* id = betree_NodeIdCounter_fresh_id node_id_cnt in
-  let* (st1, _) = betree_store_leaf_node id Betree_List_Nil st in
-  let* node_id_cnt1 = betree_NodeIdCounter_fresh_id_back node_id_cnt in
-  Return (st1,
-    {
-      params = { min_flush_size = min_flush_size; split_size = split_size };
-      node_id_cnt = node_id_cnt1;
-      root = (Betree_Node_Leaf { id = id; size = 0 })
-    })
-
-(** [betree_main::betree::{betree_main::betree::BeTree#6}::apply]: forward function
-    Source: 'src/betree.rs', lines 868:4-868:47 *)
-let betree_BeTree_apply
-  (self : betree_BeTree_t) (key : u64) (msg : betree_Message_t) (st : state) :
-  result (state & unit)
-  =
-  let* (st1, _) =
-    betree_Node_apply self.root self.params self.node_id_cnt key msg st in
-  let* _ =
-    betree_Node_apply_back self.root self.params self.node_id_cnt key msg st in
-  Return (st1, ())
-
-(** [betree_main::betree::{betree_main::betree::BeTree#6}::apply]: backward function 0
-    Source: 'src/betree.rs', lines 868:4-868:47 *)
-let betree_BeTree_apply_back
-  (self : betree_BeTree_t) (key : u64) (msg : betree_Message_t) (st : state) :
-  result betree_BeTree_t
-  =
-  let* (n, nic) =
-    betree_Node_apply_back self.root self.params self.node_id_cnt key msg st in
-  Return { self with node_id_cnt = nic; root = n }
-
-(** [betree_main::betree::{betree_main::betree::BeTree#6}::insert]: forward function
-    Source: 'src/betree.rs', lines 874:4-874:52 *)
-let betree_BeTree_insert
-  (self : betree_BeTree_t) (key : u64) (value : u64) (st : state) :
-  result (state & unit)
-  =
-  let* (st1, _) = betree_BeTree_apply self key (Betree_Message_Insert value) st
-    in
-  let* _ = betree_BeTree_apply_back self key (Betree_Message_Insert value) st
-    in
-  Return (st1, ())
-
-(** [betree_main::betree::{betree_main::betree::BeTree#6}::insert]: backward function 0
-    Source: 'src/betree.rs', lines 874:4-874:52 *)
-let betree_BeTree_insert_back
-  (self : betree_BeTree_t) (key : u64) (value : u64) (st : state) :
-  result betree_BeTree_t
-  =
-  betree_BeTree_apply_back self key (Betree_Message_Insert value) st
-
-(** [betree_main::betree::{betree_main::betree::BeTree#6}::delete]: forward function
-    Source: 'src/betree.rs', lines 880:4-880:38 *)
-let betree_BeTree_delete
-  (self : betree_BeTree_t) (key : u64) (st : state) : result (state & unit) =
-  let* (st1, _) = betree_BeTree_apply self key Betree_Message_Delete st in
-  let* _ = betree_BeTree_apply_back self key Betree_Message_Delete st in
-  Return (st1, ())
-
-(** [betree_main::betree::{betree_main::betree::BeTree#6}::delete]: backward function 0
-    Source: 'src/betree.rs', lines 880:4-880:38 *)
-let betree_BeTree_delete_back
-  (self : betree_BeTree_t) (key : u64) (st : state) : result betree_BeTree_t =
-  betree_BeTree_apply_back self key Betree_Message_Delete st
-
-(** [betree_main::betree::{betree_main::betree::BeTree#6}::upsert]: forward function
-    Source: 'src/betree.rs', lines 886:4-886:59 *)
-let betree_BeTree_upsert
-  (self : betree_BeTree_t) (key : u64) (upd : betree_UpsertFunState_t)
-  (st : state) :
-  result (state & unit)
-  =
-  let* (st1, _) = betree_BeTree_apply self key (Betree_Message_Upsert upd) st
-    in
-  let* _ = betree_BeTree_apply_back self key (Betree_Message_Upsert upd) st in
-  Return (st1, ())
-
-(** [betree_main::betree::{betree_main::betree::BeTree#6}::upsert]: backward function 0
-    Source: 'src/betree.rs', lines 886:4-886:59 *)
-let betree_BeTree_upsert_back
-  (self : betree_BeTree_t) (key : u64) (upd : betree_UpsertFunState_t)
-  (st : state) :
-  result betree_BeTree_t
-  =
-  betree_BeTree_apply_back self key (Betree_Message_Upsert upd) st
-
-(** [betree_main::betree::{betree_main::betree::BeTree#6}::lookup]: forward function
-    Source: 'src/betree.rs', lines 895:4-895:62 *)
-let betree_BeTree_lookup
-  (self : betree_BeTree_t) (key : u64) (st : state) :
-  result (state & (option u64))
-  =
-  betree_Node_lookup self.root key st
-
-(** [betree_main::betree::{betree_main::betree::BeTree#6}::lookup]: backward function 0
-    Source: 'src/betree.rs', lines 895:4-895:62 *)
-let betree_BeTree_lookup_back
-  (self : betree_BeTree_t) (key : u64) (st : state) : result betree_BeTree_t =
-  let* n = betree_Node_lookup_back self.root key st in
-  Return { self with root = n }
-
-(** [betree_main::main]: forward function
-    Source: 'src/betree_main.rs', lines 5:0-5:9 *)
-let main : result unit =
-  Return ()
-
-(** Unit test for [betree_main::main] *)
-let _ = assert_norm (main = Return ())
-
diff --git a/tests/fstar-split/betree/BetreeMain.FunsExternal.fsti b/tests/fstar-split/betree/BetreeMain.FunsExternal.fsti
deleted file mode 100644
index cd2f956f..00000000
--- a/tests/fstar-split/betree/BetreeMain.FunsExternal.fsti
+++ /dev/null
@@ -1,35 +0,0 @@
-(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *)
-(** [betree_main]: external function declarations *)
-module BetreeMain.FunsExternal
-open Primitives
-include BetreeMain.Types
-
-#set-options "--z3rlimit 50 --fuel 1 --ifuel 1"
-
-(** [betree_main::betree_utils::load_internal_node]: forward function
-    Source: 'src/betree_utils.rs', lines 98:0-98:63 *)
-val betree_utils_load_internal_node
-  : u64 -> state -> result (state & (betree_List_t (u64 & betree_Message_t)))
-
-(** [betree_main::betree_utils::store_internal_node]: forward function
-    Source: 'src/betree_utils.rs', lines 115:0-115:71 *)
-val betree_utils_store_internal_node
-  :
-  u64 -> betree_List_t (u64 & betree_Message_t) -> state -> result (state &
-    unit)
-
-(** [betree_main::betree_utils::load_leaf_node]: forward function
-    Source: 'src/betree_utils.rs', lines 132:0-132:55 *)
-val betree_utils_load_leaf_node
-  : u64 -> state -> result (state & (betree_List_t (u64 & u64)))
-
-(** [betree_main::betree_utils::store_leaf_node]: forward function
-    Source: 'src/betree_utils.rs', lines 145:0-145:63 *)
-val betree_utils_store_leaf_node
-  : u64 -> betree_List_t (u64 & u64) -> state -> result (state & unit)
-
-(** [core::option::{core::option::Option<T>}::unwrap]: forward function
-    Source: '/rustc/d59363ad0b6391b7fc5bbb02c9ccf9300eef3753/library/core/src/option.rs', lines 932:4-932:34 *)
-val core_option_Option_unwrap
-  (t : Type0) : option t -> state -> result (state & t)
-
diff --git a/tests/fstar-split/betree/BetreeMain.Types.fst b/tests/fstar-split/betree/BetreeMain.Types.fst
deleted file mode 100644
index b87219b2..00000000
--- a/tests/fstar-split/betree/BetreeMain.Types.fst
+++ /dev/null
@@ -1,61 +0,0 @@
-(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *)
-(** [betree_main]: type definitions *)
-module BetreeMain.Types
-open Primitives
-include BetreeMain.TypesExternal
-
-#set-options "--z3rlimit 50 --fuel 1 --ifuel 1"
-
-(** [betree_main::betree::List]
-    Source: 'src/betree.rs', lines 17:0-17:23 *)
-type betree_List_t (t : Type0) =
-| Betree_List_Cons : t -> betree_List_t t -> betree_List_t t
-| Betree_List_Nil : betree_List_t t
-
-(** [betree_main::betree::UpsertFunState]
-    Source: 'src/betree.rs', lines 63:0-63:23 *)
-type betree_UpsertFunState_t =
-| Betree_UpsertFunState_Add : u64 -> betree_UpsertFunState_t
-| Betree_UpsertFunState_Sub : u64 -> betree_UpsertFunState_t
-
-(** [betree_main::betree::Message]
-    Source: 'src/betree.rs', lines 69:0-69:23 *)
-type betree_Message_t =
-| Betree_Message_Insert : u64 -> betree_Message_t
-| Betree_Message_Delete : betree_Message_t
-| Betree_Message_Upsert : betree_UpsertFunState_t -> betree_Message_t
-
-(** [betree_main::betree::Leaf]
-    Source: 'src/betree.rs', lines 167:0-167:11 *)
-type betree_Leaf_t = { id : u64; size : u64; }
-
-(** [betree_main::betree::Internal]
-    Source: 'src/betree.rs', lines 156:0-156:15 *)
-type betree_Internal_t =
-{
-  id : u64; pivot : u64; left : betree_Node_t; right : betree_Node_t;
-}
-
-(** [betree_main::betree::Node]
-    Source: 'src/betree.rs', lines 179:0-179:9 *)
-and betree_Node_t =
-| Betree_Node_Internal : betree_Internal_t -> betree_Node_t
-| Betree_Node_Leaf : betree_Leaf_t -> betree_Node_t
-
-(** [betree_main::betree::Params]
-    Source: 'src/betree.rs', lines 187:0-187:13 *)
-type betree_Params_t = { min_flush_size : u64; split_size : u64; }
-
-(** [betree_main::betree::NodeIdCounter]
-    Source: 'src/betree.rs', lines 201:0-201:20 *)
-type betree_NodeIdCounter_t = { next_node_id : u64; }
-
-(** [betree_main::betree::BeTree]
-    Source: 'src/betree.rs', lines 218:0-218:17 *)
-type betree_BeTree_t =
-{
-  params : betree_Params_t;
-  node_id_cnt : betree_NodeIdCounter_t;
-  root : betree_Node_t;
-}
-
diff --git a/tests/fstar-split/betree/BetreeMain.TypesExternal.fsti b/tests/fstar-split/betree/BetreeMain.TypesExternal.fsti
deleted file mode 100644
index 1b2c53a6..00000000
--- a/tests/fstar-split/betree/BetreeMain.TypesExternal.fsti
+++ /dev/null
@@ -1,10 +0,0 @@
-(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *)
-(** [betree_main]: external type declarations *)
-module BetreeMain.TypesExternal
-open Primitives
-
-#set-options "--z3rlimit 50 --fuel 1 --ifuel 1"
-
-(** The state type used in the state-error monad *)
-val state : Type0
-
diff --git a/tests/fstar-split/betree/Makefile b/tests/fstar-split/betree/Makefile
deleted file mode 100644
index fa7d1f36..00000000
--- a/tests/fstar-split/betree/Makefile
+++ /dev/null
@@ -1,49 +0,0 @@
-# This file was automatically generated - modify ../Makefile.template instead
-INCLUDE_DIRS = .
-
-FSTAR_INCLUDES = $(addprefix --include ,$(INCLUDE_DIRS))
-
-FSTAR_HINTS ?= --use_hints --use_hint_hashes --record_hints
-
-FSTAR_OPTIONS = $(FSTAR_HINTS) \
-  --cache_checked_modules $(FSTAR_INCLUDES) --cmi \
-  --warn_error '+241@247+285-274' \
-
-FSTAR_EXE ?= fstar.exe
-FSTAR_NO_FLAGS = $(FSTAR_EXE) --already_cached 'Prims FStar LowStar Steel' --odir obj --cache_dir obj
-
-FSTAR = $(FSTAR_NO_FLAGS) $(FSTAR_OPTIONS)
-
-# The F* roots are used to compute the dependency graph, and generate the .depend file
-FSTAR_ROOTS ?= $(wildcard *.fst *.fsti)
-
-# Build all the files
-all: $(addprefix obj/,$(addsuffix .checked,$(FSTAR_ROOTS)))
-
-# This is the right way to ensure the .depend file always gets re-built.
-ifeq (,$(filter %-in,$(MAKECMDGOALS)))
-ifndef NODEPEND
-ifndef MAKE_RESTARTS
-.depend: .FORCE
-	$(FSTAR_NO_FLAGS) --dep full $(notdir $(FSTAR_ROOTS)) > $@
-
-.PHONY: .FORCE
-.FORCE:
-endif
-endif
-
-include .depend
-endif
-
-# For the interactive mode
-%.fst-in %.fsti-in:
-	@echo $(FSTAR_OPTIONS)
-
-# Generete the .checked files in batch mode
-%.checked:
-	$(FSTAR) $(FSTAR_OPTIONS) $< && \
-	touch -c $@
-
-.PHONY: clean
-clean:
-	rm -f obj/*
diff --git a/tests/fstar-split/betree/Primitives.fst b/tests/fstar-split/betree/Primitives.fst
deleted file mode 100644
index a3ffbde4..00000000
--- a/tests/fstar-split/betree/Primitives.fst
+++ /dev/null
@@ -1,884 +0,0 @@
-/// This file lists primitive and assumed functions and types
-module Primitives
-open FStar.Mul
-open FStar.List.Tot
-
-#set-options "--z3rlimit 15 --fuel 0 --ifuel 1"
-
-(*** Utilities *)
-val list_update (#a : Type0) (ls : list a) (i : nat{i < length ls}) (x : a) :
-  ls':list a{
-    length ls' = length ls /\
-    index ls' i == x
-  }
-#push-options "--fuel 1"
-let rec list_update #a ls i x =
-  match ls with
-  | x' :: ls -> if i = 0 then x :: ls else x' :: list_update ls (i-1) x
-#pop-options
-
-(*** Result *)
-type error : Type0 =
-| Failure
-| OutOfFuel
-
-type result (a : Type0) : Type0 =
-| Return : v:a -> result a
-| Fail : e:error -> result a
-
-// Monadic return operator
-unfold let return (#a : Type0) (x : a) : result a = Return x
-
-// Monadic bind operator.
-// Allows to use the notation:
-// ```
-// let* x = y in
-// ...
-// ```
-unfold let (let*) (#a #b : Type0) (m: result a)
-  (f: (x:a) -> Pure (result b) (requires (m == Return x)) (ensures fun _ -> True)) :
-  result b =
-  match m with
-  | Return x -> f x
-  | Fail e   -> Fail e
-
-// Monadic assert(...)
-let massert (b:bool) : result unit = if b then Return () else Fail Failure
-
-// Normalize and unwrap a successful result (used for globals).
-let eval_global (#a : Type0) (x : result a{Return? (normalize_term x)}) : a = Return?.v x
-
-(*** Misc *)
-type char = FStar.Char.char
-type string = string
-
-let is_zero (n: nat) : bool = n = 0
-let decrease (n: nat{n > 0}) : nat = n - 1
-
-let core_mem_replace (a : Type0) (x : a) (y : a) : a = x
-let core_mem_replace_back (a : Type0) (x : a) (y : a) : a = y
-
-// We don't really use raw pointers for now
-type mut_raw_ptr (t : Type0) = { v : t }
-type const_raw_ptr (t : Type0) = { v : t }
-
-(*** Scalars *)
-/// Rem.: most of the following code was partially generated
-
-assume val size_numbits : pos
-
-// TODO: we could use FStar.Int.int_t and FStar.UInt.int_t
-
-let isize_min : int = -9223372036854775808 // TODO: should be opaque
-let isize_max : int = 9223372036854775807 // TODO: should be opaque
-let i8_min : int = -128
-let i8_max : int = 127
-let i16_min : int = -32768
-let i16_max : int = 32767
-let i32_min : int = -2147483648
-let i32_max : int = 2147483647
-let i64_min : int = -9223372036854775808
-let i64_max : int = 9223372036854775807
-let i128_min : int = -170141183460469231731687303715884105728
-let i128_max : int = 170141183460469231731687303715884105727
-let usize_min : int = 0
-let usize_max : int = 4294967295 // TODO: should be opaque
-let u8_min : int = 0
-let u8_max : int = 255
-let u16_min : int = 0
-let u16_max : int = 65535
-let u32_min : int = 0
-let u32_max : int = 4294967295
-let u64_min : int = 0
-let u64_max : int = 18446744073709551615
-let u128_min : int = 0
-let u128_max : int = 340282366920938463463374607431768211455
-
-type scalar_ty =
-| Isize
-| I8
-| I16
-| I32
-| I64
-| I128
-| Usize
-| U8
-| U16
-| U32
-| U64
-| U128
-
-let is_unsigned = function
-  | Isize | I8 | I16 | I32 | I64 | I128 -> false
-  | Usize | U8 | U16 | U32 | U64 | U128 -> true
-
-let scalar_min (ty : scalar_ty) : int =
-  match ty with
-  | Isize -> isize_min
-  | I8 -> i8_min
-  | I16 -> i16_min
-  | I32 -> i32_min
-  | I64 -> i64_min
-  | I128 -> i128_min
-  | Usize -> usize_min
-  | U8 -> u8_min
-  | U16 -> u16_min
-  | U32 -> u32_min
-  | U64 -> u64_min
-  | U128 -> u128_min
-
-let scalar_max (ty : scalar_ty) : int =
-  match ty with
-  | Isize -> isize_max
-  | I8 -> i8_max
-  | I16 -> i16_max
-  | I32 -> i32_max
-  | I64 -> i64_max
-  | I128 -> i128_max
-  | Usize -> usize_max
-  | U8 -> u8_max
-  | U16 -> u16_max
-  | U32 -> u32_max
-  | U64 -> u64_max
-  | U128 -> u128_max
-
-type scalar (ty : scalar_ty) : eqtype = x:int{scalar_min ty <= x && x <= scalar_max ty}
-
-let mk_scalar (ty : scalar_ty) (x : int) : result (scalar ty) =
-  if scalar_min ty <= x && scalar_max ty >= x then Return x else Fail Failure
-
-let scalar_neg (#ty : scalar_ty) (x : scalar ty) : result (scalar ty) = mk_scalar ty (-x)
-
-let scalar_div (#ty : scalar_ty) (x : scalar ty) (y : scalar ty) : result (scalar ty) =
-  if y <> 0 then mk_scalar ty (x / y) else Fail Failure
-
-/// The remainder operation
-let int_rem (x : int) (y : int{y <> 0}) : int =
-  if x >= 0 then (x % y) else -(x % y)
-
-(* Checking consistency with Rust *)
-let _ = assert_norm(int_rem 1 2 = 1)
-let _ = assert_norm(int_rem (-1) 2 = -1)
-let _ = assert_norm(int_rem 1 (-2) = 1)
-let _ = assert_norm(int_rem (-1) (-2) = -1)
-
-let scalar_rem (#ty : scalar_ty) (x : scalar ty) (y : scalar ty) : result (scalar ty) =
-  if y <> 0 then mk_scalar ty (int_rem x y) else Fail Failure
-
-let scalar_add (#ty : scalar_ty) (x : scalar ty) (y : scalar ty) : result (scalar ty) =
-  mk_scalar ty (x + y)
-
-let scalar_sub (#ty : scalar_ty) (x : scalar ty) (y : scalar ty) : result (scalar ty) =
-  mk_scalar ty (x - y)
-
-let scalar_mul (#ty : scalar_ty) (x : scalar ty) (y : scalar ty) : result (scalar ty) =
-  mk_scalar ty (x * y)
-
-let scalar_xor (#ty : scalar_ty)
-    (x : scalar ty) (y : scalar ty) : scalar ty =
-  match ty with
-  | U8 -> FStar.UInt.logxor #8 x y
-  | U16 -> FStar.UInt.logxor #16 x y
-  | U32 -> FStar.UInt.logxor #32 x y
-  | U64 -> FStar.UInt.logxor #64 x y
-  | U128 -> FStar.UInt.logxor #128 x y
-  | Usize -> admit() // TODO
-  | I8 ->
-    // Encoding issues...
-    normalize_spec (FStar.Int.int_t 8);
-    normalize_spec (scalar I8);
-    FStar.Int.logxor #8 x y
-  | I16 ->
-    // Encoding issues...
-    normalize_spec (FStar.Int.int_t 16);
-    normalize_spec (scalar I16);
-    FStar.Int.logxor #16 x y
-  | I32 -> FStar.Int.logxor #32 x y
-  | I64 -> FStar.Int.logxor #64 x y
-  | I128 ->
-    // Encoding issues...
-    normalize_spec (FStar.Int.int_t 128);
-    normalize_spec (scalar I128);
-    FStar.Int.logxor #128 x y
-  | Isize -> admit() // TODO
-
-let scalar_or (#ty : scalar_ty)
-    (x : scalar ty) (y : scalar ty) : scalar ty =
-  match ty with
-  | U8 -> FStar.UInt.logor #8 x y
-  | U16 -> FStar.UInt.logor #16 x y
-  | U32 -> FStar.UInt.logor #32 x y
-  | U64 -> FStar.UInt.logor #64 x y
-  | U128 -> FStar.UInt.logor #128 x y
-  | Usize -> admit() // TODO
-  | I8 ->
-    // Encoding issues...
-    normalize_spec (FStar.Int.int_t 8);
-    normalize_spec (scalar I8);
-    FStar.Int.logor #8 x y
-  | I16 ->
-    // Encoding issues...
-    normalize_spec (FStar.Int.int_t 16);
-    normalize_spec (scalar I16);
-    FStar.Int.logor #16 x y
-  | I32 -> FStar.Int.logor #32 x y
-  | I64 -> FStar.Int.logor #64 x y
-  | I128 ->
-    // Encoding issues...
-    normalize_spec (FStar.Int.int_t 128);
-    normalize_spec (scalar I128);
-    FStar.Int.logor #128 x y
-  | Isize -> admit() // TODO
-
-let scalar_and (#ty : scalar_ty)
-    (x : scalar ty) (y : scalar ty) : scalar ty =
-  match ty with
-  | U8 -> FStar.UInt.logand #8 x y
-  | U16 -> FStar.UInt.logand #16 x y
-  | U32 -> FStar.UInt.logand #32 x y
-  | U64 -> FStar.UInt.logand #64 x y
-  | U128 -> FStar.UInt.logand #128 x y
-  | Usize -> admit() // TODO
-  | I8 ->
-    // Encoding issues...
-    normalize_spec (FStar.Int.int_t 8);
-    normalize_spec (scalar I8);
-    FStar.Int.logand #8 x y
-  | I16 ->
-    // Encoding issues...
-    normalize_spec (FStar.Int.int_t 16);
-    normalize_spec (scalar I16);
-    FStar.Int.logand #16 x y
-  | I32 -> FStar.Int.logand #32 x y
-  | I64 -> FStar.Int.logand #64 x y
-  | I128 ->
-    // Encoding issues...
-    normalize_spec (FStar.Int.int_t 128);
-    normalize_spec (scalar I128);
-    FStar.Int.logand #128 x y
-  | Isize -> admit() // TODO
-
-// Shift left
-let scalar_shl (#ty0 #ty1 : scalar_ty)
-    (x : scalar ty0) (y : scalar ty1) : result (scalar ty0) =
-  admit()
-
-// Shift right
-let scalar_shr (#ty0 #ty1 : scalar_ty)
-    (x : scalar ty0) (y : scalar ty1) : result (scalar ty0) =
-  admit()
-
-(** Cast an integer from a [src_ty] to a [tgt_ty] *)
-// TODO: check the semantics of casts in Rust
-let scalar_cast (src_ty : scalar_ty) (tgt_ty : scalar_ty) (x : scalar src_ty) : result (scalar tgt_ty) =
-  mk_scalar tgt_ty x
-
-// This can't fail, but for now we make all casts faillible (easier for the translation)
-let scalar_cast_bool (tgt_ty : scalar_ty) (x : bool) : result (scalar tgt_ty) =
-  mk_scalar tgt_ty (if x then 1 else 0)
-
-/// The scalar types
-type isize : eqtype = scalar Isize
-type i8    : eqtype = scalar I8
-type i16   : eqtype = scalar I16
-type i32   : eqtype = scalar I32
-type i64   : eqtype = scalar I64
-type i128  : eqtype = scalar I128
-type usize : eqtype = scalar Usize
-type u8    : eqtype = scalar U8
-type u16   : eqtype = scalar U16
-type u32   : eqtype = scalar U32
-type u64   : eqtype = scalar U64
-type u128  : eqtype = scalar U128
-
-
-let core_isize_min : isize = isize_min
-let core_isize_max : isize = isize_max
-let core_i8_min    : i8 = i8_min
-let core_i8_max    : i8 = i8_max
-let core_i16_min   : i16 = i16_min
-let core_i16_max   : i16 = i16_max
-let core_i32_min   : i32 = i32_min
-let core_i32_max   : i32 = i32_max
-let core_i64_min   : i64 = i64_min
-let core_i64_max   : i64 = i64_max
-let core_i128_min  : i128 = i128_min
-let core_i128_max  : i128 = i128_max
-
-let core_usize_min : usize = usize_min
-let core_usize_max : usize = usize_max
-let core_u8_min    : u8 = u8_min
-let core_u8_max    : u8 = u8_max
-let core_u16_min   : u16 = u16_min
-let core_u16_max   : u16 = u16_max
-let core_u32_min   : u32 = u32_min
-let core_u32_max   : u32 = u32_max
-let core_u64_min   : u64 = u64_min
-let core_u64_max   : u64 = u64_max
-let core_u128_min  : u128 = u128_min
-let core_u128_max  : u128 = u128_max
-
-/// Negation
-let isize_neg = scalar_neg #Isize
-let i8_neg = scalar_neg #I8
-let i16_neg = scalar_neg #I16
-let i32_neg = scalar_neg #I32
-let i64_neg = scalar_neg #I64
-let i128_neg = scalar_neg #I128
-
-/// Division
-let isize_div = scalar_div #Isize
-let i8_div = scalar_div #I8
-let i16_div = scalar_div #I16
-let i32_div = scalar_div #I32
-let i64_div = scalar_div #I64
-let i128_div = scalar_div #I128
-let usize_div = scalar_div #Usize
-let u8_div = scalar_div #U8
-let u16_div = scalar_div #U16
-let u32_div = scalar_div #U32
-let u64_div = scalar_div #U64
-let u128_div = scalar_div #U128
-
-/// Remainder
-let isize_rem = scalar_rem #Isize
-let i8_rem = scalar_rem #I8
-let i16_rem = scalar_rem #I16
-let i32_rem = scalar_rem #I32
-let i64_rem = scalar_rem #I64
-let i128_rem = scalar_rem #I128
-let usize_rem = scalar_rem #Usize
-let u8_rem = scalar_rem #U8
-let u16_rem = scalar_rem #U16
-let u32_rem = scalar_rem #U32
-let u64_rem = scalar_rem #U64
-let u128_rem = scalar_rem #U128
-
-/// Addition
-let isize_add = scalar_add #Isize
-let i8_add = scalar_add #I8
-let i16_add = scalar_add #I16
-let i32_add = scalar_add #I32
-let i64_add = scalar_add #I64
-let i128_add = scalar_add #I128
-let usize_add = scalar_add #Usize
-let u8_add = scalar_add #U8
-let u16_add = scalar_add #U16
-let u32_add = scalar_add #U32
-let u64_add = scalar_add #U64
-let u128_add = scalar_add #U128
-
-/// Subtraction
-let isize_sub = scalar_sub #Isize
-let i8_sub = scalar_sub #I8
-let i16_sub = scalar_sub #I16
-let i32_sub = scalar_sub #I32
-let i64_sub = scalar_sub #I64
-let i128_sub = scalar_sub #I128
-let usize_sub = scalar_sub #Usize
-let u8_sub = scalar_sub #U8
-let u16_sub = scalar_sub #U16
-let u32_sub = scalar_sub #U32
-let u64_sub = scalar_sub #U64
-let u128_sub = scalar_sub #U128
-
-/// Multiplication
-let isize_mul = scalar_mul #Isize
-let i8_mul = scalar_mul #I8
-let i16_mul = scalar_mul #I16
-let i32_mul = scalar_mul #I32
-let i64_mul = scalar_mul #I64
-let i128_mul = scalar_mul #I128
-let usize_mul = scalar_mul #Usize
-let u8_mul = scalar_mul #U8
-let u16_mul = scalar_mul #U16
-let u32_mul = scalar_mul #U32
-let u64_mul = scalar_mul #U64
-let u128_mul = scalar_mul #U128
-
-/// Xor
-let u8_xor = scalar_xor #U8
-let u16_xor = scalar_xor #U16
-let u32_xor = scalar_xor #U32
-let u64_xor = scalar_xor #U64
-let u128_xor = scalar_xor #U128
-let usize_xor = scalar_xor #Usize
-let i8_xor = scalar_xor #I8
-let i16_xor = scalar_xor #I16
-let i32_xor = scalar_xor #I32
-let i64_xor = scalar_xor #I64
-let i128_xor = scalar_xor #I128
-let isize_xor = scalar_xor #Isize
-
-/// Or
-let u8_or = scalar_or #U8
-let u16_or = scalar_or #U16
-let u32_or = scalar_or #U32
-let u64_or = scalar_or #U64
-let u128_or = scalar_or #U128
-let usize_or = scalar_or #Usize
-let i8_or = scalar_or #I8
-let i16_or = scalar_or #I16
-let i32_or = scalar_or #I32
-let i64_or = scalar_or #I64
-let i128_or = scalar_or #I128
-let isize_or = scalar_or #Isize
-
-/// And
-let u8_and = scalar_and #U8
-let u16_and = scalar_and #U16
-let u32_and = scalar_and #U32
-let u64_and = scalar_and #U64
-let u128_and = scalar_and #U128
-let usize_and = scalar_and #Usize
-let i8_and = scalar_and #I8
-let i16_and = scalar_and #I16
-let i32_and = scalar_and #I32
-let i64_and = scalar_and #I64
-let i128_and = scalar_and #I128
-let isize_and = scalar_and #Isize
-
-/// Shift left
-let u8_shl #ty = scalar_shl #U8 #ty
-let u16_shl #ty = scalar_shl #U16 #ty
-let u32_shl #ty = scalar_shl #U32 #ty
-let u64_shl #ty = scalar_shl #U64 #ty
-let u128_shl #ty = scalar_shl #U128 #ty
-let usize_shl #ty = scalar_shl #Usize #ty
-let i8_shl #ty = scalar_shl #I8 #ty
-let i16_shl #ty = scalar_shl #I16 #ty
-let i32_shl #ty = scalar_shl #I32 #ty
-let i64_shl #ty = scalar_shl #I64 #ty
-let i128_shl #ty = scalar_shl #I128 #ty
-let isize_shl #ty = scalar_shl #Isize #ty
-
-/// Shift right
-let u8_shr #ty = scalar_shr #U8 #ty
-let u16_shr #ty = scalar_shr #U16 #ty
-let u32_shr #ty = scalar_shr #U32 #ty
-let u64_shr #ty = scalar_shr #U64 #ty
-let u128_shr #ty = scalar_shr #U128 #ty
-let usize_shr #ty = scalar_shr #Usize #ty
-let i8_shr #ty = scalar_shr #I8 #ty
-let i16_shr #ty = scalar_shr #I16 #ty
-let i32_shr #ty = scalar_shr #I32 #ty
-let i64_shr #ty = scalar_shr #I64 #ty
-let i128_shr #ty = scalar_shr #I128 #ty
-let isize_shr #ty = scalar_shr #Isize #ty
-
-(*** core::ops *)
-
-// Trait declaration: [core::ops::index::Index]
-noeq type core_ops_index_Index (self idx : Type0) = {
-  output : Type0;
-  index : self → idx → result output
-}
-
-// Trait declaration: [core::ops::index::IndexMut]
-noeq type core_ops_index_IndexMut (self idx : Type0) = {
-  indexInst : core_ops_index_Index self idx;
-  index_mut : self → idx → result indexInst.output;
-  index_mut_back : self → idx → indexInst.output → result self;
-}
-
-// Trait declaration [core::ops::deref::Deref]
-noeq type core_ops_deref_Deref (self : Type0) = {
-  target : Type0;
-  deref : self → result target;
-}
-
-// Trait declaration [core::ops::deref::DerefMut]
-noeq type core_ops_deref_DerefMut (self : Type0) = {
-  derefInst : core_ops_deref_Deref self;
-  deref_mut : self → result derefInst.target;
-  deref_mut_back : self → derefInst.target → result self;
-}
-
-type core_ops_range_Range (a : Type0) = {
-  start : a;
-  end_ : a;
-}
-
-(*** [alloc] *)
-
-let alloc_boxed_Box_deref (t : Type0) (x : t) : result t = Return x
-let alloc_boxed_Box_deref_mut (t : Type0) (x : t) : result t = Return x
-let alloc_boxed_Box_deref_mut_back (t : Type) (_ : t) (x : t) : result t = Return x
-
-// Trait instance
-let alloc_boxed_Box_coreopsDerefInst (self : Type0) : core_ops_deref_Deref self = {
-  target = self;
-  deref = alloc_boxed_Box_deref self;
-}
-
-// Trait instance
-let alloc_boxed_Box_coreopsDerefMutInst (self : Type0) : core_ops_deref_DerefMut self = {
-  derefInst = alloc_boxed_Box_coreopsDerefInst self;
-  deref_mut = alloc_boxed_Box_deref_mut self;
-  deref_mut_back = alloc_boxed_Box_deref_mut_back self;
-}
-
-(*** Array *)
-type array (a : Type0) (n : usize) = s:list a{length s = n}
-
-// We tried putting the normalize_term condition as a refinement on the list
-// but it didn't work. It works with the requires clause.
-let mk_array (a : Type0) (n : usize)
-  (l : list a) :
-  Pure (array a n)
-  (requires (normalize_term(FStar.List.Tot.length l) = n))
-  (ensures (fun _ -> True)) =
-  normalize_term_spec (FStar.List.Tot.length l);
-  l
-
-let array_index_usize (a : Type0) (n : usize) (x : array a n) (i : usize) : result a =
-  if i < length x then Return (index x i)
-  else Fail Failure
-
-let array_update_usize (a : Type0) (n : usize) (x : array a n) (i : usize) (nx : a) : result (array a n) =
-  if i < length x then Return (list_update x i nx)
-  else Fail Failure
-
-(*** Slice *)
-type slice (a : Type0) = s:list a{length s <= usize_max}
-
-let slice_len (a : Type0) (s : slice a) : usize = length s
-
-let slice_index_usize (a : Type0) (x : slice a) (i : usize) : result a =
-  if i < length x then Return (index x i)
-  else Fail Failure
-
-let slice_update_usize (a : Type0) (x : slice a) (i : usize) (nx : a) : result (slice a) =
-  if i < length x then Return (list_update x i nx)
-  else Fail Failure
-
-(*** Subslices *)
-
-let array_to_slice (a : Type0) (n : usize) (x : array a n) : result (slice a) = Return x
-let array_from_slice (a : Type0) (n : usize) (x : array a n) (s : slice a) : result (array a n) =
-  if length s = n then Return s
-  else Fail Failure
-
-// TODO: finish the definitions below (there lacks [List.drop] and [List.take] in the standard library *)
-let array_subslice (a : Type0) (n : usize) (x : array a n) (r : core_ops_range_Range usize) : result (slice a) =
-  admit()
-
-let array_update_subslice (a : Type0) (n : usize) (x : array a n) (r : core_ops_range_Range usize) (ns : slice a) : result (array a n) =
-  admit()
-
-let array_repeat (a : Type0) (n : usize) (x : a) : array a n =
-  admit()
-
-let slice_subslice (a : Type0) (x : slice a) (r : core_ops_range_Range usize) : result (slice a) =
-  admit()
-
-let slice_update_subslice (a : Type0) (x : slice a) (r : core_ops_range_Range usize) (ns : slice a) : result (slice a) =
-  admit()
-
-(*** Vector *)
-type alloc_vec_Vec (a : Type0) = v:list a{length v <= usize_max}
-
-let alloc_vec_Vec_new (a  : Type0) : alloc_vec_Vec a = assert_norm(length #a [] == 0); []
-let alloc_vec_Vec_len (a : Type0) (v : alloc_vec_Vec a) : usize = length v
-
-// Helper
-let alloc_vec_Vec_index_usize (#a : Type0) (v : alloc_vec_Vec a) (i : usize) : result a =
-  if i < length v then Return (index v i) else Fail Failure
-// Helper
-let alloc_vec_Vec_update_usize (#a : Type0) (v : alloc_vec_Vec a) (i : usize) (x : a) : result (alloc_vec_Vec a) =
-  if i < length v then Return (list_update v i x) else Fail Failure
-
-// The **forward** function shouldn't be used
-let alloc_vec_Vec_push_fwd (a  : Type0) (v : alloc_vec_Vec a) (x : a) : unit = ()
-let alloc_vec_Vec_push (a  : Type0) (v : alloc_vec_Vec a) (x : a) :
-  Pure (result (alloc_vec_Vec a))
-  (requires True)
-  (ensures (fun res ->
-    match res with
-    | Fail e -> e == Failure
-    | Return v' -> length v' = length v + 1)) =
-  if length v < usize_max then begin
-    (**) assert_norm(length [x] == 1);
-    (**) append_length v [x];
-    (**) assert(length (append v [x]) = length v + 1);
-    Return (append v [x])
-    end
-  else Fail Failure
-
-// The **forward** function shouldn't be used
-let alloc_vec_Vec_insert_fwd (a : Type0) (v : alloc_vec_Vec a) (i : usize) (x : a) : result unit =
-  if i < length v then Return () else Fail Failure
-let alloc_vec_Vec_insert (a : Type0) (v : alloc_vec_Vec a) (i : usize) (x : a) : result (alloc_vec_Vec a) =
-  if i < length v then Return (list_update v i x) else Fail Failure
-
-// Trait declaration: [core::slice::index::private_slice_index::Sealed]
-type core_slice_index_private_slice_index_Sealed (self : Type0) = unit
-
-// Trait declaration: [core::slice::index::SliceIndex]
-noeq type core_slice_index_SliceIndex (self t : Type0) = {
-  sealedInst : core_slice_index_private_slice_index_Sealed self;
-  output : Type0;
-  get : self → t → result (option output);
-  get_mut : self → t → result (option output);
-  get_mut_back : self → t → option output → result t;
-  get_unchecked : self → const_raw_ptr t → result (const_raw_ptr output);
-  get_unchecked_mut : self → mut_raw_ptr t → result (mut_raw_ptr output);
-  index : self → t → result output;
-  index_mut : self → t → result output;
-  index_mut_back : self → t → output → result t;
-}
-
-// [core::slice::index::[T]::index]: forward function
-let core_slice_index_Slice_index
-  (t idx : Type0) (inst : core_slice_index_SliceIndex idx (slice t))
-  (s : slice t) (i : idx) : result inst.output =
-  let* x = inst.get i s in
-  match x with
-  | None -> Fail Failure
-  | Some x -> Return x
-
-// [core::slice::index::Range:::get]: forward function
-let core_slice_index_RangeUsize_get (t : Type0) (i : core_ops_range_Range usize) (s : slice t) :
-  result (option (slice t)) =
-  admit () // TODO
-
-// [core::slice::index::Range::get_mut]: forward function
-let core_slice_index_RangeUsize_get_mut
-  (t : Type0) : core_ops_range_Range usize → slice t → result (option (slice t)) =
-  admit () // TODO
-
-// [core::slice::index::Range::get_mut]: backward function 0
-let core_slice_index_RangeUsize_get_mut_back
-  (t : Type0) :
-  core_ops_range_Range usize → slice t → option (slice t) → result (slice t) =
-  admit () // TODO
-
-// [core::slice::index::Range::get_unchecked]: forward function
-let core_slice_index_RangeUsize_get_unchecked
-  (t : Type0) :
-  core_ops_range_Range usize → const_raw_ptr (slice t) → result (const_raw_ptr (slice t)) =
-  // Don't know what the model should be - for now we always fail to make
-  // sure code which uses it fails
-  fun _ _ -> Fail Failure
-
-// [core::slice::index::Range::get_unchecked_mut]: forward function
-let core_slice_index_RangeUsize_get_unchecked_mut
-  (t : Type0) :
-  core_ops_range_Range usize → mut_raw_ptr (slice t) → result (mut_raw_ptr (slice t)) =
-  // Don't know what the model should be - for now we always fail to make
-  // sure code which uses it fails
-  fun _ _ -> Fail Failure
-
-// [core::slice::index::Range::index]: forward function
-let core_slice_index_RangeUsize_index
-  (t : Type0) : core_ops_range_Range usize → slice t → result (slice t) =
-  admit () // TODO
-
-// [core::slice::index::Range::index_mut]: forward function
-let core_slice_index_RangeUsize_index_mut
-  (t : Type0) : core_ops_range_Range usize → slice t → result (slice t) =
-  admit () // TODO
-
-// [core::slice::index::Range::index_mut]: backward function 0
-let core_slice_index_RangeUsize_index_mut_back
-  (t : Type0) : core_ops_range_Range usize → slice t → slice t → result (slice t) =
-  admit () // TODO
-
-// [core::slice::index::[T]::index_mut]: forward function
-let core_slice_index_Slice_index_mut
-  (t idx : Type0) (inst : core_slice_index_SliceIndex idx (slice t)) :
-  slice t → idx → result inst.output =
-  admit () // 
-
-// [core::slice::index::[T]::index_mut]: backward function 0
-let core_slice_index_Slice_index_mut_back
-  (t idx : Type0) (inst : core_slice_index_SliceIndex idx (slice t)) :
-  slice t → idx → inst.output → result (slice t) =
-  admit () // TODO
-
-// [core::array::[T; N]::index]: forward function
-let core_array_Array_index
-  (t idx : Type0) (n : usize) (inst : core_ops_index_Index (slice t) idx)
-  (a : array t n) (i : idx) : result inst.output =
-  admit () // TODO
-
-// [core::array::[T; N]::index_mut]: forward function
-let core_array_Array_index_mut
-  (t idx : Type0) (n : usize) (inst : core_ops_index_IndexMut (slice t) idx)
-  (a : array t n) (i : idx) : result inst.indexInst.output =
-  admit () // TODO
-
-// [core::array::[T; N]::index_mut]: backward function 0
-let core_array_Array_index_mut_back
-  (t idx : Type0) (n : usize) (inst : core_ops_index_IndexMut (slice t) idx)
-  (a : array t n) (i : idx) (x : inst.indexInst.output) : result (array t n) =
-  admit () // TODO
-
-// Trait implementation: [core::slice::index::private_slice_index::Range]
-let core_slice_index_private_slice_index_SealedRangeUsizeInst
-  : core_slice_index_private_slice_index_Sealed (core_ops_range_Range usize) = ()
-
-// Trait implementation: [core::slice::index::Range]
-let core_slice_index_SliceIndexRangeUsizeSliceTInst (t : Type0) :
-  core_slice_index_SliceIndex (core_ops_range_Range usize) (slice t) = {
-  sealedInst = core_slice_index_private_slice_index_SealedRangeUsizeInst;
-  output = slice t;
-  get = core_slice_index_RangeUsize_get t;
-  get_mut = core_slice_index_RangeUsize_get_mut t;
-  get_mut_back = core_slice_index_RangeUsize_get_mut_back t;
-  get_unchecked = core_slice_index_RangeUsize_get_unchecked t;
-  get_unchecked_mut = core_slice_index_RangeUsize_get_unchecked_mut t;
-  index = core_slice_index_RangeUsize_index t;
-  index_mut = core_slice_index_RangeUsize_index_mut t;
-  index_mut_back = core_slice_index_RangeUsize_index_mut_back t;
-}
-
-// Trait implementation: [core::slice::index::[T]]
-let core_ops_index_IndexSliceTIInst (t idx : Type0)
-  (inst : core_slice_index_SliceIndex idx (slice t)) :
-  core_ops_index_Index (slice t) idx = {
-  output = inst.output;
-  index = core_slice_index_Slice_index t idx inst;
-}
-
-// Trait implementation: [core::slice::index::[T]]
-let core_ops_index_IndexMutSliceTIInst (t idx : Type0)
-  (inst : core_slice_index_SliceIndex idx (slice t)) :
-  core_ops_index_IndexMut (slice t) idx = {
-  indexInst = core_ops_index_IndexSliceTIInst t idx inst;
-  index_mut = core_slice_index_Slice_index_mut t idx inst;
-  index_mut_back = core_slice_index_Slice_index_mut_back t idx inst;
-}
-
-// Trait implementation: [core::array::[T; N]]
-let core_ops_index_IndexArrayInst (t idx : Type0) (n : usize)
-  (inst : core_ops_index_Index (slice t) idx) :
-  core_ops_index_Index (array t n) idx = {
-  output = inst.output;
-  index = core_array_Array_index t idx n inst;
-}
-
-// Trait implementation: [core::array::[T; N]]
-let core_ops_index_IndexMutArrayIInst (t idx : Type0) (n : usize)
-  (inst : core_ops_index_IndexMut (slice t) idx) :
-  core_ops_index_IndexMut (array t n) idx = {
-  indexInst = core_ops_index_IndexArrayInst t idx n inst.indexInst;
-  index_mut = core_array_Array_index_mut t idx n inst;
-  index_mut_back = core_array_Array_index_mut_back t idx n inst;
-}
-
-// [core::slice::index::usize::get]: forward function
-let core_slice_index_usize_get
-  (t : Type0) : usize → slice t → result (option t) =
-  admit () // TODO
-
-// [core::slice::index::usize::get_mut]: forward function
-let core_slice_index_usize_get_mut
-  (t : Type0) : usize → slice t → result (option t) =
-  admit () // TODO
-
-// [core::slice::index::usize::get_mut]: backward function 0
-let core_slice_index_usize_get_mut_back
-  (t : Type0) : usize → slice t → option t → result (slice t) =
-  admit () // TODO
-
-// [core::slice::index::usize::get_unchecked]: forward function
-let core_slice_index_usize_get_unchecked
-  (t : Type0) : usize → const_raw_ptr (slice t) → result (const_raw_ptr t) =
-  admit () // TODO
-
-// [core::slice::index::usize::get_unchecked_mut]: forward function
-let core_slice_index_usize_get_unchecked_mut
-  (t : Type0) : usize → mut_raw_ptr (slice t) → result (mut_raw_ptr t) =
-  admit () // TODO
-
-// [core::slice::index::usize::index]: forward function
-let core_slice_index_usize_index (t : Type0) : usize → slice t → result t =
-  admit () // TODO
-
-// [core::slice::index::usize::index_mut]: forward function
-let core_slice_index_usize_index_mut (t : Type0) : usize → slice t → result t =
-  admit () // TODO
-
-// [core::slice::index::usize::index_mut]: backward function 0
-let core_slice_index_usize_index_mut_back
-  (t : Type0) : usize → slice t → t → result (slice t) =
-  admit () // TODO
-
-// Trait implementation: [core::slice::index::private_slice_index::usize]
-let core_slice_index_private_slice_index_SealedUsizeInst
-  : core_slice_index_private_slice_index_Sealed usize = ()
-
-// Trait implementation: [core::slice::index::usize]
-let core_slice_index_SliceIndexUsizeSliceTInst (t : Type0) :
-  core_slice_index_SliceIndex usize (slice t) = {
-  sealedInst = core_slice_index_private_slice_index_SealedUsizeInst;
-  output = t;
-  get = core_slice_index_usize_get t;
-  get_mut = core_slice_index_usize_get_mut t;
-  get_mut_back = core_slice_index_usize_get_mut_back t;
-  get_unchecked = core_slice_index_usize_get_unchecked t;
-  get_unchecked_mut = core_slice_index_usize_get_unchecked_mut t;
-  index = core_slice_index_usize_index t;
-  index_mut = core_slice_index_usize_index_mut t;
-  index_mut_back = core_slice_index_usize_index_mut_back t;
-}
-
-// [alloc::vec::Vec::index]: forward function
-let alloc_vec_Vec_index (t idx : Type0) (inst : core_slice_index_SliceIndex idx (slice t))
-  (self : alloc_vec_Vec t) (i : idx) : result inst.output =
-  admit () // TODO
-
-// [alloc::vec::Vec::index_mut]: forward function
-let alloc_vec_Vec_index_mut (t idx : Type0) (inst : core_slice_index_SliceIndex idx (slice t))
-  (self : alloc_vec_Vec t) (i : idx) : result inst.output =
-  admit () // TODO
-
-// [alloc::vec::Vec::index_mut]: backward function 0
-let alloc_vec_Vec_index_mut_back
-  (t idx : Type0) (inst : core_slice_index_SliceIndex idx (slice t))
-  (self : alloc_vec_Vec t) (i : idx) (x : inst.output) : result (alloc_vec_Vec t) =
-  admit () // TODO
-
-// Trait implementation: [alloc::vec::Vec]
-let alloc_vec_Vec_coreopsindexIndexInst (t idx : Type0)
-  (inst : core_slice_index_SliceIndex idx (slice t)) :
-  core_ops_index_Index (alloc_vec_Vec t) idx = {
-  output = inst.output;
-  index = alloc_vec_Vec_index t idx inst;
-}
-
-// Trait implementation: [alloc::vec::Vec]
-let alloc_vec_Vec_coreopsindexIndexMutInst (t idx : Type0)
-  (inst : core_slice_index_SliceIndex idx (slice t)) :
-  core_ops_index_IndexMut (alloc_vec_Vec t) idx = {
-  indexInst = alloc_vec_Vec_coreopsindexIndexInst t idx inst;
-  index_mut = alloc_vec_Vec_index_mut t idx inst;
-  index_mut_back = alloc_vec_Vec_index_mut_back t idx inst;
-}
-
-(*** Theorems *)
-
-let alloc_vec_Vec_index_eq (#a : Type0) (v : alloc_vec_Vec a) (i : usize) :
-  Lemma (
-    alloc_vec_Vec_index a usize (core_slice_index_SliceIndexUsizeSliceTInst a) v i ==
-      alloc_vec_Vec_index_usize v i)
-  [SMTPat (alloc_vec_Vec_index a usize (core_slice_index_SliceIndexUsizeSliceTInst a) v i)]
-  =
-  admit()
-
-let alloc_vec_Vec_index_mut_eq (#a : Type0) (v : alloc_vec_Vec a) (i : usize) :
-  Lemma (
-    alloc_vec_Vec_index_mut a usize (core_slice_index_SliceIndexUsizeSliceTInst a) v i ==
-      alloc_vec_Vec_index_usize v i)
-  [SMTPat (alloc_vec_Vec_index_mut a usize (core_slice_index_SliceIndexUsizeSliceTInst a) v i)]
-  =
-  admit()
-
-let alloc_vec_Vec_index_mut_back_eq (#a : Type0) (v : alloc_vec_Vec a) (i : usize) (x : a) :
-  Lemma (
-    alloc_vec_Vec_index_mut_back a usize (core_slice_index_SliceIndexUsizeSliceTInst a) v i x ==
-      alloc_vec_Vec_update_usize v i x)
-  [SMTPat (alloc_vec_Vec_index_mut_back a usize (core_slice_index_SliceIndexUsizeSliceTInst a) v i x)]
-  =
-  admit()