From 0e839a561fc768686aa381088073b09a1ae76876 Mon Sep 17 00:00:00 2001
From: Erwan Jahier <erwan.jahier@univ-grenoble-alpes.fr>
Date: Fri, 26 May 2023 16:22:08 +0200
Subject: [PATCH] refactor: renaming, cleaning, documenting

---
 guides/users/README.org                     |   2 +-
 lib/algo/algo.mli                           |   4 +-
 salut/lib/README.org                        |   1 +
 salut/lib/UsrIntBinary.lus                  | 100 ------
 salut/lib/UsrIntBinary5.lus                 |  23 --
 salut/lib/UsrIntCounters.lus                | 102 ------
 salut/lib/UsrIntCounters5.lus               |  39 ---
 salut/lib/bit-blast/README.md               |   2 +-
 salut/lib/bit-blast/UsrIntChs.ec            |  33 --
 salut/lib/bit-blast/UsrIntLt.ec             |  78 -----
 salut/lib/bit-blast/UsrIntLt.oc             | 356 --------------------
 salut/lib/bit-blast/a.out                   | Bin 1982376 -> 0 bytes
 salut/lib/bit-blast/gen_binary              | Bin 1983656 -> 0 bytes
 salut/lib/daemon.lus                        | 132 ++++++++
 salut/lib/sas.lus                           |  86 -----
 salut/test/Cycle_unison/Sh/search_config.sh |  15 +-
 salut/test/Cycle_unison/check_cycles.lus    | 149 ++++++--
 salut/test/Makefile.inc                     | 113 +++----
 salut/test/dijkstra-ring/Makefile           |   4 +-
 salut/test/dijkstra-ring/cost.lus           |  22 +-
 salut/test/dijkstra-ring/root.lus           |   7 +-
 salut/test/dijkstra-ring/verify.lus         |  36 +-
 salut/test/gen-salut-batch.sh               |  11 +-
 salut/test/run-kind2.sh                     | 132 +++++---
 test/README.org                             |  19 +-
 test/async-unison/p.ml                      |  21 +-
 test/async-unison/ring.dot                  |   2 -
 test/k-clustering/Makefile                  |   5 +-
 test/lustre/README.org                      |   1 +
 test/unison/config.ml                       |   2 +-
 30 files changed, 481 insertions(+), 1016 deletions(-)
 create mode 100644 salut/lib/README.org
 delete mode 100644 salut/lib/UsrIntBinary.lus
 delete mode 100644 salut/lib/UsrIntBinary5.lus
 delete mode 100644 salut/lib/UsrIntCounters.lus
 delete mode 100644 salut/lib/UsrIntCounters5.lus
 delete mode 100644 salut/lib/bit-blast/UsrIntChs.ec
 delete mode 100644 salut/lib/bit-blast/UsrIntLt.ec
 delete mode 100644 salut/lib/bit-blast/UsrIntLt.oc
 delete mode 100755 salut/lib/bit-blast/a.out
 delete mode 100755 salut/lib/bit-blast/gen_binary
 create mode 100644 salut/lib/daemon.lus
 delete mode 100644 salut/lib/sas.lus
 create mode 100644 test/lustre/README.org

diff --git a/guides/users/README.org b/guides/users/README.org
index 5f082154..de1916cd 100644
--- a/guides/users/README.org
+++ b/guides/users/README.org
@@ -501,7 +501,7 @@ More =sasa= options:
 #+end_example
 
 * Interactive simulations
-
+<<interactive-simulations>>
 In order to run interactive simulations, one can run =sasa= under the control of
 =rdbgui4sasa=. More specifically, instead of running
 
diff --git a/lib/algo/algo.mli b/lib/algo/algo.mli
index 6b823fc1..380c6fca 100644
--- a/lib/algo/algo.mli
+++ b/lib/algo/algo.mli
@@ -1,4 +1,4 @@
-(* Time-stamp: <modified the 26/05/2022 (at 12:16) by Erwan Jahier> *)
+(* Time-stamp: <modified the 21/03/2023 (at 14:20) by Erwan Jahier> *)
 (** {1 The Algorithm programming Interface}
 
     A SASA process is an instance of an algorithm defined via this
@@ -179,7 +179,7 @@ val get_graph_attribute_opt : string -> string option
    Note that  it is  not necessary  to expose the  whole state  to the
    optimization process. To do that, one  just needs to filter some of
    the state  value in the ['s  -> value list] function.   This is the
-   reason the state  reconstruction function ([num list ->  's -> 's])
+   reason the state  reconstruction function ([value list -> 's -> 's])
    takes  a state  as  argument (to  be able  to  fill the  previously
    filtered  values,  that  will  therefore never  change  during  the
    search).
diff --git a/salut/lib/README.org b/salut/lib/README.org
new file mode 100644
index 00000000..b4ed7030
--- /dev/null
+++ b/salut/lib/README.org
@@ -0,0 +1 @@
+Lustre files useful to define ASM algorithms
diff --git a/salut/lib/UsrIntBinary.lus b/salut/lib/UsrIntBinary.lus
deleted file mode 100644
index 35b4ec5f..00000000
--- a/salut/lib/UsrIntBinary.lus
+++ /dev/null
@@ -1,100 +0,0 @@
-
--- Signed binary 
-
--- const BIN_SZ=8;
-type UsrInt = bool^BIN_SZ;
-
---const UsrInt_0 = false^BIN_SZ;
-
-
-node UsrIntIf(
-	c : bool; x : UsrInt; y : UsrInt
-) returns (
-	s : UsrInt
-);
-let
-	s = if c^BIN_SZ then x else y;
-tel
-
-node UsrIntPlus( x : UsrInt; y : UsrInt) returns ( s : UsrInt);
-var c : bool^(BIN_SZ+1);
-let
-	c[0] = false;
-
-	c[1..BIN_SZ] = if c[0..BIN_SZ-1] then (x or y) else (x and y); 
-	s = x xor y xor c[0..BIN_SZ-1];
-tel
-
-node UsrInt
-Chs( x : UsrInt) returns ( s : UsrInt);
-var c : bool^(BIN_SZ+1);
-let
-	c[0] = false;
-	c[1..BIN_SZ] = c[0..BIN_SZ-1] or x;	
-	s = c[0..BIN_SZ-1] xor x;
-tel
-
-node UsrIntIncr(x : UsrInt) returns (s : UsrInt);
-var c : bool^(BIN_SZ+1);
-let
-	c[0] = true;
-	c[1..BIN_SZ] = c[0..BIN_SZ-1] and x;	
-	s = c[0..BIN_SZ-1] xor x;
-tel
-
-node UsrIntDecr(x : UsrInt) returns (s : UsrInt);
-var c : bool^(BIN_SZ+1);
-let
-	c[0] = true;
-	c[1..BIN_SZ] = c[0..BIN_SZ-1] and not x;	
-	s = c[0..BIN_SZ-1] xor x;
-tel
-
-node UsrIntMinus( x : UsrInt; y : UsrInt) returns ( s : UsrInt);
-let
-	s = UsrIntPlus(x, UsrIntChs(y));
-tel
-
-
-node UsrIntGt( x : UsrInt; y : UsrInt) returns ( o : bool);
-var
-	z : UsrInt;
-let
-	-- x > y <=> y - x < 0
-	z = UsrIntPlus(y, UsrIntChs(x));
-	o = z[BIN_SZ-1];
-tel
-
-node UsrIntLt( x : UsrInt; y : UsrInt) returns ( o : bool);
-let
-	-- x < y <=> y > x
-	o = UsrIntGt(y,x);
-tel
-
-node UsrIntGte( x : UsrInt; y : UsrInt) returns ( o : bool);
-let
-	-- x >= y <=> not y > x
-	o = not UsrIntGt(y,x);
-tel
-
-node UsrIntLte( x : UsrInt; y : UsrInt) returns ( o : bool);
-let
-	-- x <= y <=> not x > y
-	o = not UsrIntGt(x,y);
-tel
-
-node UsrIntEq( x : UsrInt; y : UsrInt) returns ( o : bool);
-var
-	a : bool^BIN_SZ+1;
-let
-	a[0] = true;
-	a[1..BIN_SZ] = a[0..BIN_SZ-1] and (x = y);	
-	o = a[BIN_SZ];
-tel
-
-node UsrIntNeq( x : UsrInt; y : UsrInt) returns ( o : bool);
-let
-	o = not UsrIntEq(x,y);
-tel
-
-
diff --git a/salut/lib/UsrIntBinary5.lus b/salut/lib/UsrIntBinary5.lus
deleted file mode 100644
index b1d55c22..00000000
--- a/salut/lib/UsrIntBinary5.lus
+++ /dev/null
@@ -1,23 +0,0 @@
-
--- to be included BEFORE binary.lus
--- Signed binary on 5 bits
--- (range [-15, 15] + nan (0001) 
-
-const BIN_SZ=5;
-
-const UsrInt_0  = [0, 0, 0, 0, 0];
-const UsrInt_1  = [1, 0, 0, 0, 0];
-const UsrInt_2  = [0, 1, 0, 0, 0];
-const UsrInt_3  = [1, 1, 0, 0, 0];
-const UsrInt_4  = [0, 0, 1, 0, 0];
-const UsrInt_5  = [1, 0, 1, 0, 0];
-const UsrInt_6  = [0, 1, 1, 0, 0];
-const UsrInt_7  = [1, 1, 1, 0, 0];
-const UsrInt_8  = [0, 0, 0, 1, 0];
-const UsrInt_9  = [1, 0, 0, 1, 0];
-const UsrInt_10 = [0, 1, 0, 1, 0];
-const UsrInt_11 = [1, 1, 0, 1, 0];
-const UsrInt_12 = [0, 0, 1, 1, 0];
-const UsrInt_13 = [1, 0, 1, 1, 0];
-const UsrInt_14 = [0, 1, 1, 1, 0];
-const UsrInt_15 = [1, 1, 1, 1, 0];
diff --git a/salut/lib/UsrIntCounters.lus b/salut/lib/UsrIntCounters.lus
deleted file mode 100644
index 248690af..00000000
--- a/salut/lib/UsrIntCounters.lus
+++ /dev/null
@@ -1,102 +0,0 @@
-
--- UNSIGNED binary 
-/*
-	- modulo max arithmetic (no overflow)
-	- diff with signed :
-		* no csh (indeed)
-		* comparisons
-*/
-
---const BIN_SZ=5;
-type UsrInt = bool^BIN_SZ;
-
---const UsrInt_0 = false^BIN_SZ;
-
-
-node UsrIntIf(
-	c : bool; x : UsrInt; y : UsrInt
-) returns (
-	s : UsrInt
-);
-let
-	s = if c^BIN_SZ then x else y;
-tel
-
-node UsrIntPlus( x : UsrInt; y : UsrInt) returns ( s : UsrInt);
-var c : bool^(BIN_SZ+1);
-let
-	c[0] = false;
-	c[1..BIN_SZ] = if c[0..BIN_SZ-1] then (x or y) else (x and y); 
-	s = x xor y xor c[0..BIN_SZ-1];
-tel
-
-node UsrIntMinus( x : UsrInt; y : UsrInt) returns ( s : UsrInt);
-var c : bool^(BIN_SZ+1);
-    ny: UsrInt;
-let
-	c[0] = true;
-	ny = not y;
-	c[1..BIN_SZ] = if c[0..BIN_SZ-1] then (x or ny) else (x and ny); 
-	s = x xor ny xor c[0..BIN_SZ-1];
-tel
-
-
-node UsrIntIncr(x : UsrInt) returns (s : UsrInt);
-var c : bool^(BIN_SZ+1);
-let
-	c[0] = true;
-	c[1..BIN_SZ] = c[0..BIN_SZ-1] and x;	
-	s = c[0..BIN_SZ-1] xor x;
-tel
-
-node UsrIntDecr(x : UsrInt) returns (s : UsrInt);
-var c : bool^(BIN_SZ+1);
-let
-	c[0] = true;
-	c[1..BIN_SZ] = c[0..BIN_SZ-1] and not x;	
-	s = c[0..BIN_SZ-1] xor x;
-tel
-
-node _internal_GT (const sz : int; x, y: bool^sz) returns (o: bool);
-let
-	o = with (sz = 1) then (x[0] and not y[0])
-	    else if (x[sz-1] and not y[sz-1]) then true
-	    else if (not x[sz-1] and y[sz-1]) then false
-	    else _internal_GT(sz-1, x[0..sz-2], y[0..sz-2]);
-tel
-
-node UsrIntGt( x : UsrInt; y : UsrInt) returns ( o : bool);
-let
-	o = _internal_GT(BIN_SZ, x, y);
-tel
-
-node UsrIntLt( x : UsrInt; y : UsrInt) returns ( o : bool);
-let
-	o = UsrIntGt(y,x);
-tel
-
-node UsrIntGte( x : UsrInt; y : UsrInt) returns ( o : bool);
-let
-	o = not UsrIntGt(y,x);
-tel
-
-node UsrIntLte( x : UsrInt; y : UsrInt) returns ( o : bool);
-let
-	o = not UsrIntGt(x,y);
-tel
-
-node UsrIntEq( x : UsrInt; y : UsrInt) returns ( o : bool);
-var
-	a : bool^BIN_SZ+1;
-let
-	a[0] = true;
-	a[1..BIN_SZ] = a[0..BIN_SZ-1] and (x = y);	
-	o = a[BIN_SZ];
-tel
-
-node UsrIntNeq( x : UsrInt; y : UsrInt) returns ( o : bool);
-let
-	o = not UsrIntEq(x,y);
-tel
-
-
diff --git a/salut/lib/UsrIntCounters5.lus b/salut/lib/UsrIntCounters5.lus
deleted file mode 100644
index a0c68603..00000000
--- a/salut/lib/UsrIntCounters5.lus
+++ /dev/null
@@ -1,39 +0,0 @@
-
--- to be included BEFORE binary.lus
--- unigned binary on 5 bits
--- (range [0, 31])
-
-const BIN_SZ=5;
-
-const UsrInt_0  = [0, 0, 0, 0, 0];
-const UsrInt_1  = [1, 0, 0, 0, 0];
-const UsrInt_2  = [0, 1, 0, 0, 0];
-const UsrInt_3  = [1, 1, 0, 0, 0];
-const UsrInt_4  = [0, 0, 1, 0, 0];
-const UsrInt_5  = [1, 0, 1, 0, 0];
-const UsrInt_6  = [0, 1, 1, 0, 0];
-const UsrInt_7  = [1, 1, 1, 0, 0];
-const UsrInt_8  = [0, 0, 0, 1, 0];
-const UsrInt_9  = [1, 0, 0, 1, 0];
-const UsrInt_10 = [0, 1, 0, 1, 0];
-const UsrInt_11 = [1, 1, 0, 1, 0];
-const UsrInt_12 = [0, 0, 1, 1, 0];
-const UsrInt_13 = [1, 0, 1, 1, 0];
-const UsrInt_14 = [0, 1, 1, 1, 0];
-const UsrInt_15 = [1, 1, 1, 1, 0];
-const UsrInt_16 = [0, 0, 0, 0, 1];
-const UsrInt_17 = [1, 0, 0, 0, 1];
-const UsrInt_18 = [0, 1, 0, 0, 1];
-const UsrInt_19 = [1, 1, 0, 0, 1];
-const UsrInt_20 = [0, 0, 1, 0, 1];
-const UsrInt_21 = [1, 0, 1, 0, 1];
-const UsrInt_22 = [0, 1, 1, 0, 1];
-const UsrInt_23 = [1, 1, 1, 0, 1];
-const UsrInt_24 = [0, 0, 0, 1, 1];
-const UsrInt_25 = [1, 0, 0, 1, 1];
-const UsrInt_26 = [0, 1, 0, 1, 1];
-const UsrInt_27 = [1, 1, 0, 1, 1];
-const UsrInt_28 = [0, 0, 1, 1, 1];
-const UsrInt_29 = [1, 0, 1, 1, 1];
-const UsrInt_30 = [0, 1, 1, 1, 1];
-const UsrInt_31 = [1, 1, 1, 1, 1];
diff --git a/salut/lib/bit-blast/README.md b/salut/lib/bit-blast/README.md
index d299e3cb..25af654b 100644
--- a/salut/lib/bit-blast/README.md
+++ b/salut/lib/bit-blast/README.md
@@ -1,4 +1,4 @@
 
 Some lustre files that implements int using bool arrays.
 
-Very useful to perform proof with lesar on integers.
\ No newline at end of file
+Useful to perform proof with lesar on integers.
diff --git a/salut/lib/bit-blast/UsrIntChs.ec b/salut/lib/bit-blast/UsrIntChs.ec
deleted file mode 100644
index 3136d796..00000000
--- a/salut/lib/bit-blast/UsrIntChs.ec
+++ /dev/null
@@ -1,33 +0,0 @@
-node UsrIntChs
-  (x_0: bool;
-  x_1: bool;
-  x_2: bool;
-  x_3: bool;
-  x_4: bool)
-returns
-  (s_0: bool;
-  s_1: bool;
-  s_2: bool;
-  s_3: bool;
-  s_4: bool);
-
-var
-  V145_c_1: bool;
-  V146_c_2: bool;
-  V147_c_3: bool;
-  V148_c_4: bool;
-  V149_c_5: bool;
-
-let
-  s_0 = (false xor x_0);
-  s_1 = (V145_c_1 xor x_1);
-  s_2 = (V146_c_2 xor x_2);
-  s_3 = (V147_c_3 xor x_3);
-  s_4 = (V148_c_4 xor x_4);
-  V145_c_1 = (false or x_0);
-  V146_c_2 = (V145_c_1 or x_1);
-  V147_c_3 = (V146_c_2 or x_2);
-  V148_c_4 = (V147_c_3 or x_3);
-  V149_c_5 = (V148_c_4 or x_4);
-tel
-
diff --git a/salut/lib/bit-blast/UsrIntLt.ec b/salut/lib/bit-blast/UsrIntLt.ec
deleted file mode 100644
index 6540c43f..00000000
--- a/salut/lib/bit-blast/UsrIntLt.ec
+++ /dev/null
@@ -1,78 +0,0 @@
-node UsrIntLt
-  (x_0: bool;
-  x_1: bool;
-  x_2: bool;
-  x_3: bool;
-  x_4: bool;
-  x_5: bool;
-  x_6: bool;
-  y_0: bool;
-  y_1: bool;
-  y_2: bool;
-  y_3: bool;
-  y_4: bool;
-  y_5: bool;
-  y_6: bool)
-returns
-  (o: bool);
-
-var
-  V421_z_0: bool;
-  V422_z_1: bool;
-  V423_z_2: bool;
-  V424_z_3: bool;
-  V425_z_4: bool;
-  V426_z_5: bool;
-  V427_c_1: bool;
-  V428_c_2: bool;
-  V429_c_3: bool;
-  V430_c_4: bool;
-  V431_c_5: bool;
-  V432_c_6: bool;
-  V433_c_7: bool;
-  V434_c_1: bool;
-  V435_c_2: bool;
-  V436_c_3: bool;
-  V437_c_4: bool;
-  V438_c_5: bool;
-  V439_c_6: bool;
-  V440_c_7: bool;
-  V441_y_0: bool;
-  V442_y_1: bool;
-  V443_y_2: bool;
-  V444_y_3: bool;
-  V445_y_4: bool;
-  V446_y_5: bool;
-  V447_y_6: bool;
-
-let
-  o = ((x_6 xor V447_y_6) xor V439_c_6);
-  V421_z_0 = ((x_0 xor V441_y_0) xor false);
-  V422_z_1 = ((x_1 xor V442_y_1) xor V434_c_1);
-  V423_z_2 = ((x_2 xor V443_y_2) xor V435_c_2);
-  V424_z_3 = ((x_3 xor V444_y_3) xor V436_c_3);
-  V425_z_4 = ((x_4 xor V445_y_4) xor V437_c_4);
-  V426_z_5 = ((x_5 xor V446_y_5) xor V438_c_5);
-  V427_c_1 = (false or y_0);
-  V428_c_2 = (V427_c_1 or y_1);
-  V429_c_3 = (V428_c_2 or y_2);
-  V430_c_4 = (V429_c_3 or y_3);
-  V431_c_5 = (V430_c_4 or y_4);
-  V432_c_6 = (V431_c_5 or y_5);
-  V433_c_7 = (V432_c_6 or y_6);
-  V434_c_1 = (if false then (x_0 or V441_y_0) else (x_0 and V441_y_0));
-  V435_c_2 = (if V434_c_1 then (x_1 or V442_y_1) else (x_1 and V442_y_1));
-  V436_c_3 = (if V435_c_2 then (x_2 or V443_y_2) else (x_2 and V443_y_2));
-  V437_c_4 = (if V436_c_3 then (x_3 or V444_y_3) else (x_3 and V444_y_3));
-  V438_c_5 = (if V437_c_4 then (x_4 or V445_y_4) else (x_4 and V445_y_4));
-  V439_c_6 = (if V438_c_5 then (x_5 or V446_y_5) else (x_5 and V446_y_5));
-  V440_c_7 = (if V439_c_6 then (x_6 or V447_y_6) else (x_6 and V447_y_6));
-  V441_y_0 = (false xor y_0);
-  V442_y_1 = (V427_c_1 xor y_1);
-  V443_y_2 = (V428_c_2 xor y_2);
-  V444_y_3 = (V429_c_3 xor y_3);
-  V445_y_4 = (V430_c_4 xor y_4);
-  V446_y_5 = (V431_c_5 xor y_5);
-  V447_y_6 = (V432_c_6 xor y_6);
-tel
-
diff --git a/salut/lib/bit-blast/UsrIntLt.oc b/salut/lib/bit-blast/UsrIntLt.oc
deleted file mode 100644
index b39cf73b..00000000
--- a/salut/lib/bit-blast/UsrIntLt.oc
+++ /dev/null
@@ -1,356 +0,0 @@
-oc5:
-module: UsrIntLt
-
-signals: 15
-   0: input:x_0 - single:1 bool:0
-   1: input:x_1 - single:2 bool:0
-   2: input:x_2 - single:3 bool:0
-   3: input:x_3 - single:4 bool:0
-   4: input:x_4 - single:5 bool:0
-   5: input:x_5 - single:6 bool:0
-   6: input:x_6 - single:7 bool:0
-   7: input:y_0 - single:8 bool:0
-   8: input:y_1 - single:9 bool:0
-   9: input:y_2 - single:10 bool:0
-   10: input:y_3 - single:11 bool:0
-   11: input:y_4 - single:12 bool:0
-   12: input:y_5 - single:13 bool:0
-   13: input:y_6 - single:14 bool:0
-   14: output:o - single:15
-end: 
-
-variables: 16
-   0: $0
-   1: $0
-   2: $0
-   3: $0
-   4: $0
-   5: $0
-   6: $0
-   7: $0
-   8: $0
-   9: $0
-   10: $0
-   11: $0
-   12: $0
-   13: $0
-   14: $0
-   15: $0
-end: 
-
-actions: 31
-   0: present: 0
-   1: present: 1
-   2: present: 2
-   3: present: 3
-   4: present: 4
-   5: present: 5
-   6: present: 6
-   7: present: 7
-   8: present: 8
-   9: present: 9
-   10: present: 10
-   11: present: 11
-   12: present: 12
-   13: present: 13
-   14: output: 14
-   15: if: 7
-   16: if: 14
-   17: if: 13
-   18: if: 12
-   19: if: 11
-   20: if: 10
-   21: if: 8
-   22: if: 9
-   23: if: 6
-   24: if: 5
-   25: if: 4
-   26: if: 3
-   27: if: 2
-   28: if: 1
-   29: call:$0 (15) (@$0)
-   30: call:$0 (15) (@$1)
-end:
-
-states: 1
-startpoint: 0
-calls: 4620
-0:  15 ( 16 ( 17 ( 18 ( 19 ( 20 ( 21 ( 22 ( 23 ( 24 ( 25 ( 26 ( 27 ( 28 ( 29 14
-)( 30 14))( 30 14))( 30 14))( 30 14))( 30 14))( 30 14))( 23 ( 24 ( 25 ( 26 ( 27
- ( 29 14)( 28 ( 29 14)( 30 14)))( 30 14))( 30 14))( 30 14))( 30 14)))( 22 ( 23
- ( 24 ( 25 ( 26 ( 27 ( 29 14)( 30 14))( 30 14))( 30 14))( 30 14))( 30 14))( 23
- ( 24 ( 25 ( 26 ( 29 14)( 30 14))( 30 14))( 30 14))( 30 14))))( 21 ( 22 ( 23 ( 
-24 ( 25 ( 26 ( 29 14)( 27 ( 28 ( 29 14)( 30 14))( 30 14)))( 30 14))( 30 14))( 
-30 14))( 23 ( 24 ( 25 ( 26 ( 29 14)( 27 ( 29 14)( 28 ( 29 14)( 30 14))))( 30 14
-))( 30 14))( 30 14)))( 22 ( 23 ( 24 ( 25 ( 26 ( 29 14)( 27 ( 29 14)( 30 14)))( 
-30 14))( 30 14))( 30 14))( 23 ( 24 ( 25 ( 29 14)( 30 14))( 30 14))( 30 14)))))(
- 20 ( 21 ( 22 ( 23 ( 24 ( 25 ( 29 14)( 26 ( 27 ( 28 ( 29 14)( 30 14))( 30 14))(
- 30 14)))( 30 14))( 30 14))( 23 ( 24 ( 25 ( 29 14)( 26 ( 27 ( 29 14)( 28 ( 29 
-14)( 30 14)))( 30 14)))( 30 14))( 30 14)))( 22 ( 23 ( 24 ( 25 ( 29 14)( 26 ( 27
- ( 29 14)( 30 14))( 30 14)))( 30 14))( 30 14))( 23 ( 24 ( 25 ( 29 14)( 26 ( 29 
-14)( 30 14)))( 30 14))( 30 14))))( 21 ( 22 ( 23 ( 24 ( 25 ( 29 14)( 26 ( 29 14
-)( 27 ( 28 ( 29 14)( 30 14))( 30 14))))( 30 14))( 30 14))( 23 ( 24 ( 25 ( 29 14
-)( 26 ( 29 14)( 27 ( 29 14)( 28 ( 29 14)( 30 14)))))( 30 14))( 30 14)))( 22 ( 
-23 ( 24 ( 25 ( 29 14)( 26 ( 29 14)( 27 ( 29 14)( 30 14))))( 30 14))( 30 14))( 
-23 ( 24 ( 29 14)( 30 14))( 30 14))))))( 19 ( 20 ( 21 ( 22 ( 23 ( 24 ( 29 14)( 
-25 ( 26 ( 27 ( 28 ( 29 14)( 30 14))( 30 14))( 30 14))( 30 14)))( 30 14))( 23 ( 
-24 ( 29 14)( 25 ( 26 ( 27 ( 29 14)( 28 ( 29 14)( 30 14)))( 30 14))( 30 14)))( 
-30 14)))( 22 ( 23 ( 24 ( 29 14)( 25 ( 26 ( 27 ( 29 14)( 30 14))( 30 14))( 30 14
-)))( 30 14))( 23 ( 24 ( 29 14)( 25 ( 26 ( 29 14)( 30 14))( 30 14)))( 30 14))))(
- 21 ( 22 ( 23 ( 24 ( 29 14)( 25 ( 26 ( 29 14)( 27 ( 28 ( 29 14)( 30 14))( 30 14
-)))( 30 14)))( 30 14))( 23 ( 24 ( 29 14)( 25 ( 26 ( 29 14)( 27 ( 29 14)( 28 ( 
-29 14)( 30 14))))( 30 14)))( 30 14)))( 22 ( 23 ( 24 ( 29 14)( 25 ( 26 ( 29 14)(
- 27 ( 29 14)( 30 14)))( 30 14)))( 30 14))( 23 ( 24 ( 29 14)( 25 ( 29 14)( 30 14
-)))( 30 14)))))( 20 ( 21 ( 22 ( 23 ( 24 ( 29 14)( 25 ( 29 14)( 26 ( 27 ( 28 ( 
-29 14)( 30 14))( 30 14))( 30 14))))( 30 14))( 23 ( 24 ( 29 14)( 25 ( 29 14)( 26
- ( 27 ( 29 14)( 28 ( 29 14)( 30 14)))( 30 14))))( 30 14)))( 22 ( 23 ( 24 ( 29 
-14)( 25 ( 29 14)( 26 ( 27 ( 29 14)( 30 14))( 30 14))))( 30 14))( 23 ( 24 ( 29 
-14)( 25 ( 29 14)( 26 ( 29 14)( 30 14))))( 30 14))))( 21 ( 22 ( 23 ( 24 ( 29 14
-)( 25 ( 29 14)( 26 ( 29 14)( 27 ( 28 ( 29 14)( 30 14))( 30 14)))))( 30 14))( 23
- ( 24 ( 29 14)( 25 ( 29 14)( 26 ( 29 14)( 27 ( 29 14)( 28 ( 29 14)( 30 14)))))
-)( 30 14)))( 22 ( 23 ( 24 ( 29 14)( 25 ( 29 14)( 26 ( 29 14)( 27 ( 29 14)( 30 
-14)))))( 30 14))( 23 ( 29 14)( 30 14)))))))( 18 ( 19 ( 20 ( 21 ( 22 ( 23 ( 29 
-14)( 24 ( 25 ( 26 ( 27 ( 28 ( 29 14)( 30 14))( 30 14))( 30 14))( 30 14))( 30 14
-)))( 23 ( 29 14)( 24 ( 25 ( 26 ( 27 ( 29 14)( 28 ( 29 14)( 30 14)))( 30 14))( 
-30 14))( 30 14))))( 22 ( 23 ( 29 14)( 24 ( 25 ( 26 ( 27 ( 29 14)( 30 14))( 30 
-14))( 30 14))( 30 14)))( 23 ( 29 14)( 24 ( 25 ( 26 ( 29 14)( 30 14))( 30 14))( 
-30 14)))))( 21 ( 22 ( 23 ( 29 14)( 24 ( 25 ( 26 ( 29 14)( 27 ( 28 ( 29 14)( 30 
-14))( 30 14)))( 30 14))( 30 14)))( 23 ( 29 14)( 24 ( 25 ( 26 ( 29 14)( 27 ( 29 
-14)( 28 ( 29 14)( 30 14))))( 30 14))( 30 14))))( 22 ( 23 ( 29 14)( 24 ( 25 ( 26
- ( 29 14)( 27 ( 29 14)( 30 14)))( 30 14))( 30 14)))( 23 ( 29 14)( 24 ( 25 ( 29 
-14)( 30 14))( 30 14))))))( 20 ( 21 ( 22 ( 23 ( 29 14)( 24 ( 25 ( 29 14)( 26 ( 
-27 ( 28 ( 29 14)( 30 14))( 30 14))( 30 14)))( 30 14)))( 23 ( 29 14)( 24 ( 25 ( 
-29 14)( 26 ( 27 ( 29 14)( 28 ( 29 14)( 30 14)))( 30 14)))( 30 14))))( 22 ( 23 (
- 29 14)( 24 ( 25 ( 29 14)( 26 ( 27 ( 29 14)( 30 14))( 30 14)))( 30 14)))( 23 ( 
-29 14)( 24 ( 25 ( 29 14)( 26 ( 29 14)( 30 14)))( 30 14)))))( 21 ( 22 ( 23 ( 29 
-14)( 24 ( 25 ( 29 14)( 26 ( 29 14)( 27 ( 28 ( 29 14)( 30 14))( 30 14))))( 30 14
-)))( 23 ( 29 14)( 24 ( 25 ( 29 14)( 26 ( 29 14)( 27 ( 29 14)( 28 ( 29 14)( 30 
-14)))))( 30 14))))( 22 ( 23 ( 29 14)( 24 ( 25 ( 29 14)( 26 ( 29 14)( 27 ( 29 14
-)( 30 14))))( 30 14)))( 23 ( 29 14)( 24 ( 29 14)( 30 14)))))))( 19 ( 20 ( 21 ( 
-22 ( 23 ( 29 14)( 24 ( 29 14)( 25 ( 26 ( 27 ( 28 ( 29 14)( 30 14))( 30 14))( 30
- 14))( 30 14))))( 23 ( 29 14)( 24 ( 29 14)( 25 ( 26 ( 27 ( 29 14)( 28 ( 29 14)(
- 30 14)))( 30 14))( 30 14)))))( 22 ( 23 ( 29 14)( 24 ( 29 14)( 25 ( 26 ( 27 ( 
-29 14)( 30 14))( 30 14))( 30 14))))( 23 ( 29 14)( 24 ( 29 14)( 25 ( 26 ( 29 14
-)( 30 14))( 30 14))))))( 21 ( 22 ( 23 ( 29 14)( 24 ( 29 14)( 25 ( 26 ( 29 14)( 
-27 ( 28 ( 29 14)( 30 14))( 30 14)))( 30 14))))( 23 ( 29 14)( 24 ( 29 14)( 25 ( 
-26 ( 29 14)( 27 ( 29 14)( 28 ( 29 14)( 30 14))))( 30 14)))))( 22 ( 23 ( 29 14)(
- 24 ( 29 14)( 25 ( 26 ( 29 14)( 27 ( 29 14)( 30 14)))( 30 14))))( 23 ( 29 14)( 
-24 ( 29 14)( 25 ( 29 14)( 30 14)))))))( 20 ( 21 ( 22 ( 23 ( 29 14)( 24 ( 29 14
-)( 25 ( 29 14)( 26 ( 27 ( 28 ( 29 14)( 30 14))( 30 14))( 30 14)))))( 23 ( 29 14
-)( 24 ( 29 14)( 25 ( 29 14)( 26 ( 27 ( 29 14)( 28 ( 29 14)( 30 14)))( 30 14))))
-))( 22 ( 23 ( 29 14)( 24 ( 29 14)( 25 ( 29 14)( 26 ( 27 ( 29 14)( 30 14))( 30 
-14)))))( 23 ( 29 14)( 24 ( 29 14)( 25 ( 29 14)( 26 ( 29 14)( 30 14)))))))( 21 (
- 22 ( 23 ( 29 14)( 24 ( 29 14)( 25 ( 29 14)( 26 ( 29 14)( 27 ( 28 ( 29 14)( 30 
-14))( 30 14))))))( 23 ( 29 14)( 24 ( 29 14)( 25 ( 29 14)( 26 ( 29 14)( 27 ( 29 
-14)( 28 ( 29 14)( 30 14))))))))( 22 ( 23 ( 29 14)( 24 ( 29 14)( 25 ( 29 14)( 26
- ( 29 14)( 27 ( 29 14)( 30 14))))))( 29 14)))))))( 17 ( 18 ( 19 ( 20 ( 21 ( 22
- ( 23 ( 24 ( 25 ( 26 ( 27 ( 28 ( 30 14)( 29 14))( 29 14))( 29 14))( 29 14))( 29
- 14))( 29 14))( 23 ( 24 ( 25 ( 26 ( 27 ( 30 14)( 28 ( 30 14)( 29 14)))( 29 14)
-)( 29 14))( 29 14))( 29 14)))( 22 ( 23 ( 24 ( 25 ( 26 ( 27 ( 30 14)( 29 14))( 
-29 14))( 29 14))( 29 14))( 29 14))( 23 ( 24 ( 25 ( 26 ( 30 14)( 29 14))( 29 14)
-)( 29 14))( 29 14))))( 21 ( 22 ( 23 ( 24 ( 25 ( 26 ( 30 14)( 27 ( 28 ( 30 14)( 
-29 14))( 29 14)))( 29 14))( 29 14))( 29 14))( 23 ( 24 ( 25 ( 26 ( 30 14)( 27 ( 
-30 14)( 28 ( 30 14)( 29 14))))( 29 14))( 29 14))( 29 14)))( 22 ( 23 ( 24 ( 25 (
- 26 ( 30 14)( 27 ( 30 14)( 29 14)))( 29 14))( 29 14))( 29 14))( 23 ( 24 ( 25 ( 
-30 14)( 29 14))( 29 14))( 29 14)))))( 20 ( 21 ( 22 ( 23 ( 24 ( 25 ( 30 14)( 26
- ( 27 ( 28 ( 30 14)( 29 14))( 29 14))( 29 14)))( 29 14))( 29 14))( 23 ( 24 ( 25
- ( 30 14)( 26 ( 27 ( 30 14)( 28 ( 30 14)( 29 14)))( 29 14)))( 29 14))( 29 14))
-)( 22 ( 23 ( 24 ( 25 ( 30 14)( 26 ( 27 ( 30 14)( 29 14))( 29 14)))( 29 14))( 29
- 14))( 23 ( 24 ( 25 ( 30 14)( 26 ( 30 14)( 29 14)))( 29 14))( 29 14))))( 21 ( 
-22 ( 23 ( 24 ( 25 ( 30 14)( 26 ( 30 14)( 27 ( 28 ( 30 14)( 29 14))( 29 14))))( 
-29 14))( 29 14))( 23 ( 24 ( 25 ( 30 14)( 26 ( 30 14)( 27 ( 30 14)( 28 ( 30 14)(
- 29 14)))))( 29 14))( 29 14)))( 22 ( 23 ( 24 ( 25 ( 30 14)( 26 ( 30 14)( 27 ( 
-30 14)( 29 14))))( 29 14))( 29 14))( 23 ( 24 ( 30 14)( 29 14))( 29 14))))))( 19
- ( 20 ( 21 ( 22 ( 23 ( 24 ( 30 14)( 25 ( 26 ( 27 ( 28 ( 30 14)( 29 14))( 29 14)
-)( 29 14))( 29 14)))( 29 14))( 23 ( 24 ( 30 14)( 25 ( 26 ( 27 ( 30 14)( 28 ( 30
- 14)( 29 14)))( 29 14))( 29 14)))( 29 14)))( 22 ( 23 ( 24 ( 30 14)( 25 ( 26 ( 
-27 ( 30 14)( 29 14))( 29 14))( 29 14)))( 29 14))( 23 ( 24 ( 30 14)( 25 ( 26 ( 
-30 14)( 29 14))( 29 14)))( 29 14))))( 21 ( 22 ( 23 ( 24 ( 30 14)( 25 ( 26 ( 30 
-14)( 27 ( 28 ( 30 14)( 29 14))( 29 14)))( 29 14)))( 29 14))( 23 ( 24 ( 30 14)( 
-25 ( 26 ( 30 14)( 27 ( 30 14)( 28 ( 30 14)( 29 14))))( 29 14)))( 29 14)))( 22 (
- 23 ( 24 ( 30 14)( 25 ( 26 ( 30 14)( 27 ( 30 14)( 29 14)))( 29 14)))( 29 14))( 
-23 ( 24 ( 30 14)( 25 ( 30 14)( 29 14)))( 29 14)))))( 20 ( 21 ( 22 ( 23 ( 24 ( 
-30 14)( 25 ( 30 14)( 26 ( 27 ( 28 ( 30 14)( 29 14))( 29 14))( 29 14))))( 29 14)
-)( 23 ( 24 ( 30 14)( 25 ( 30 14)( 26 ( 27 ( 30 14)( 28 ( 30 14)( 29 14)))( 29 
-14))))( 29 14)))( 22 ( 23 ( 24 ( 30 14)( 25 ( 30 14)( 26 ( 27 ( 30 14)( 29 14)
-)( 29 14))))( 29 14))( 23 ( 24 ( 30 14)( 25 ( 30 14)( 26 ( 30 14)( 29 14))))( 
-29 14))))( 21 ( 22 ( 23 ( 24 ( 30 14)( 25 ( 30 14)( 26 ( 30 14)( 27 ( 28 ( 30 
-14)( 29 14))( 29 14)))))( 29 14))( 23 ( 24 ( 30 14)( 25 ( 30 14)( 26 ( 30 14)( 
-27 ( 30 14)( 28 ( 30 14)( 29 14))))))( 29 14)))( 22 ( 23 ( 24 ( 30 14)( 25 ( 30
- 14)( 26 ( 30 14)( 27 ( 30 14)( 29 14)))))( 29 14))( 23 ( 30 14)( 29 14)))))))(
- 18 ( 19 ( 20 ( 21 ( 22 ( 23 ( 30 14)( 24 ( 25 ( 26 ( 27 ( 28 ( 30 14)( 29 14)
-)( 29 14))( 29 14))( 29 14))( 29 14)))( 23 ( 30 14)( 24 ( 25 ( 26 ( 27 ( 30 14
-)( 28 ( 30 14)( 29 14)))( 29 14))( 29 14))( 29 14))))( 22 ( 23 ( 30 14)( 24 ( 
-25 ( 26 ( 27 ( 30 14)( 29 14))( 29 14))( 29 14))( 29 14)))( 23 ( 30 14)( 24 ( 
-25 ( 26 ( 30 14)( 29 14))( 29 14))( 29 14)))))( 21 ( 22 ( 23 ( 30 14)( 24 ( 25
- ( 26 ( 30 14)( 27 ( 28 ( 30 14)( 29 14))( 29 14)))( 29 14))( 29 14)))( 23 ( 30
- 14)( 24 ( 25 ( 26 ( 30 14)( 27 ( 30 14)( 28 ( 30 14)( 29 14))))( 29 14))( 29 
-14))))( 22 ( 23 ( 30 14)( 24 ( 25 ( 26 ( 30 14)( 27 ( 30 14)( 29 14)))( 29 14)
-)( 29 14)))( 23 ( 30 14)( 24 ( 25 ( 30 14)( 29 14))( 29 14))))))( 20 ( 21 ( 22
- ( 23 ( 30 14)( 24 ( 25 ( 30 14)( 26 ( 27 ( 28 ( 30 14)( 29 14))( 29 14))( 29 
-14)))( 29 14)))( 23 ( 30 14)( 24 ( 25 ( 30 14)( 26 ( 27 ( 30 14)( 28 ( 30 14)( 
-29 14)))( 29 14)))( 29 14))))( 22 ( 23 ( 30 14)( 24 ( 25 ( 30 14)( 26 ( 27 ( 30
- 14)( 29 14))( 29 14)))( 29 14)))( 23 ( 30 14)( 24 ( 25 ( 30 14)( 26 ( 30 14)( 
-29 14)))( 29 14)))))( 21 ( 22 ( 23 ( 30 14)( 24 ( 25 ( 30 14)( 26 ( 30 14)( 27
- ( 28 ( 30 14)( 29 14))( 29 14))))( 29 14)))( 23 ( 30 14)( 24 ( 25 ( 30 14)( 26
- ( 30 14)( 27 ( 30 14)( 28 ( 30 14)( 29 14)))))( 29 14))))( 22 ( 23 ( 30 14)( 
-24 ( 25 ( 30 14)( 26 ( 30 14)( 27 ( 30 14)( 29 14))))( 29 14)))( 23 ( 30 14)( 
-24 ( 30 14)( 29 14)))))))( 19 ( 20 ( 21 ( 22 ( 23 ( 30 14)( 24 ( 30 14)( 25 ( 
-26 ( 27 ( 28 ( 30 14)( 29 14))( 29 14))( 29 14))( 29 14))))( 23 ( 30 14)( 24 ( 
-30 14)( 25 ( 26 ( 27 ( 30 14)( 28 ( 30 14)( 29 14)))( 29 14))( 29 14)))))( 22 (
- 23 ( 30 14)( 24 ( 30 14)( 25 ( 26 ( 27 ( 30 14)( 29 14))( 29 14))( 29 14))))( 
-23 ( 30 14)( 24 ( 30 14)( 25 ( 26 ( 30 14)( 29 14))( 29 14))))))( 21 ( 22 ( 23
- ( 30 14)( 24 ( 30 14)( 25 ( 26 ( 30 14)( 27 ( 28 ( 30 14)( 29 14))( 29 14)))( 
-29 14))))( 23 ( 30 14)( 24 ( 30 14)( 25 ( 26 ( 30 14)( 27 ( 30 14)( 28 ( 30 14
-)( 29 14))))( 29 14)))))( 22 ( 23 ( 30 14)( 24 ( 30 14)( 25 ( 26 ( 30 14)( 27 (
- 30 14)( 29 14)))( 29 14))))( 23 ( 30 14)( 24 ( 30 14)( 25 ( 30 14)( 29 14)))))
-))( 20 ( 21 ( 22 ( 23 ( 30 14)( 24 ( 30 14)( 25 ( 30 14)( 26 ( 27 ( 28 ( 30 14
-)( 29 14))( 29 14))( 29 14)))))( 23 ( 30 14)( 24 ( 30 14)( 25 ( 30 14)( 26 ( 27
- ( 30 14)( 28 ( 30 14)( 29 14)))( 29 14))))))( 22 ( 23 ( 30 14)( 24 ( 30 14)( 
-25 ( 30 14)( 26 ( 27 ( 30 14)( 29 14))( 29 14)))))( 23 ( 30 14)( 24 ( 30 14)( 
-25 ( 30 14)( 26 ( 30 14)( 29 14)))))))( 21 ( 22 ( 23 ( 30 14)( 24 ( 30 14)( 25
- ( 30 14)( 26 ( 30 14)( 27 ( 28 ( 30 14)( 29 14))( 29 14))))))( 23 ( 30 14)( 24
- ( 30 14)( 25 ( 30 14)( 26 ( 30 14)( 27 ( 30 14)( 28 ( 30 14)( 29 14))))))))( 
-22 ( 23 ( 30 14)( 24 ( 30 14)( 25 ( 30 14)( 26 ( 30 14)( 27 ( 30 14)( 29 14))))
-))( 30 14))))))))( 16 ( 17 ( 18 ( 19 ( 20 ( 21 ( 22 ( 23 ( 24 ( 25 ( 26 ( 27 ( 
-28 ( 30 14)( 29 14))( 29 14))( 29 14))( 29 14))( 29 14))( 29 14))( 23 ( 24 ( 25
- ( 26 ( 27 ( 30 14)( 28 ( 30 14)( 29 14)))( 29 14))( 29 14))( 29 14))( 29 14))
-)( 22 ( 23 ( 24 ( 25 ( 26 ( 27 ( 30 14)( 29 14))( 29 14))( 29 14))( 29 14))( 29
- 14))( 23 ( 24 ( 25 ( 26 ( 30 14)( 29 14))( 29 14))( 29 14))( 29 14))))( 21 ( 
-22 ( 23 ( 24 ( 25 ( 26 ( 30 14)( 27 ( 28 ( 30 14)( 29 14))( 29 14)))( 29 14))( 
-29 14))( 29 14))( 23 ( 24 ( 25 ( 26 ( 30 14)( 27 ( 30 14)( 28 ( 30 14)( 29 14))
-))( 29 14))( 29 14))( 29 14)))( 22 ( 23 ( 24 ( 25 ( 26 ( 30 14)( 27 ( 30 14)( 
-29 14)))( 29 14))( 29 14))( 29 14))( 23 ( 24 ( 25 ( 30 14)( 29 14))( 29 14))( 
-29 14)))))( 20 ( 21 ( 22 ( 23 ( 24 ( 25 ( 30 14)( 26 ( 27 ( 28 ( 30 14)( 29 14)
-)( 29 14))( 29 14)))( 29 14))( 29 14))( 23 ( 24 ( 25 ( 30 14)( 26 ( 27 ( 30 14
-)( 28 ( 30 14)( 29 14)))( 29 14)))( 29 14))( 29 14)))( 22 ( 23 ( 24 ( 25 ( 30 
-14)( 26 ( 27 ( 30 14)( 29 14))( 29 14)))( 29 14))( 29 14))( 23 ( 24 ( 25 ( 30 
-14)( 26 ( 30 14)( 29 14)))( 29 14))( 29 14))))( 21 ( 22 ( 23 ( 24 ( 25 ( 30 14
-)( 26 ( 30 14)( 27 ( 28 ( 30 14)( 29 14))( 29 14))))( 29 14))( 29 14))( 23 ( 24
- ( 25 ( 30 14)( 26 ( 30 14)( 27 ( 30 14)( 28 ( 30 14)( 29 14)))))( 29 14))( 29 
-14)))( 22 ( 23 ( 24 ( 25 ( 30 14)( 26 ( 30 14)( 27 ( 30 14)( 29 14))))( 29 14)
-)( 29 14))( 23 ( 24 ( 30 14)( 29 14))( 29 14))))))( 19 ( 20 ( 21 ( 22 ( 23 ( 24
- ( 30 14)( 25 ( 26 ( 27 ( 28 ( 30 14)( 29 14))( 29 14))( 29 14))( 29 14)))( 29 
-14))( 23 ( 24 ( 30 14)( 25 ( 26 ( 27 ( 30 14)( 28 ( 30 14)( 29 14)))( 29 14))( 
-29 14)))( 29 14)))( 22 ( 23 ( 24 ( 30 14)( 25 ( 26 ( 27 ( 30 14)( 29 14))( 29 
-14))( 29 14)))( 29 14))( 23 ( 24 ( 30 14)( 25 ( 26 ( 30 14)( 29 14))( 29 14)))(
- 29 14))))( 21 ( 22 ( 23 ( 24 ( 30 14)( 25 ( 26 ( 30 14)( 27 ( 28 ( 30 14)( 29 
-14))( 29 14)))( 29 14)))( 29 14))( 23 ( 24 ( 30 14)( 25 ( 26 ( 30 14)( 27 ( 30 
-14)( 28 ( 30 14)( 29 14))))( 29 14)))( 29 14)))( 22 ( 23 ( 24 ( 30 14)( 25 ( 26
- ( 30 14)( 27 ( 30 14)( 29 14)))( 29 14)))( 29 14))( 23 ( 24 ( 30 14)( 25 ( 30 
-14)( 29 14)))( 29 14)))))( 20 ( 21 ( 22 ( 23 ( 24 ( 30 14)( 25 ( 30 14)( 26 ( 
-27 ( 28 ( 30 14)( 29 14))( 29 14))( 29 14))))( 29 14))( 23 ( 24 ( 30 14)( 25 ( 
-30 14)( 26 ( 27 ( 30 14)( 28 ( 30 14)( 29 14)))( 29 14))))( 29 14)))( 22 ( 23 (
- 24 ( 30 14)( 25 ( 30 14)( 26 ( 27 ( 30 14)( 29 14))( 29 14))))( 29 14))( 23 ( 
-24 ( 30 14)( 25 ( 30 14)( 26 ( 30 14)( 29 14))))( 29 14))))( 21 ( 22 ( 23 ( 24
- ( 30 14)( 25 ( 30 14)( 26 ( 30 14)( 27 ( 28 ( 30 14)( 29 14))( 29 14)))))( 29 
-14))( 23 ( 24 ( 30 14)( 25 ( 30 14)( 26 ( 30 14)( 27 ( 30 14)( 28 ( 30 14)( 29 
-14))))))( 29 14)))( 22 ( 23 ( 24 ( 30 14)( 25 ( 30 14)( 26 ( 30 14)( 27 ( 30 14
-)( 29 14)))))( 29 14))( 23 ( 30 14)( 29 14)))))))( 18 ( 19 ( 20 ( 21 ( 22 ( 23
- ( 30 14)( 24 ( 25 ( 26 ( 27 ( 28 ( 30 14)( 29 14))( 29 14))( 29 14))( 29 14))(
- 29 14)))( 23 ( 30 14)( 24 ( 25 ( 26 ( 27 ( 30 14)( 28 ( 30 14)( 29 14)))( 29 
-14))( 29 14))( 29 14))))( 22 ( 23 ( 30 14)( 24 ( 25 ( 26 ( 27 ( 30 14)( 29 14)
-)( 29 14))( 29 14))( 29 14)))( 23 ( 30 14)( 24 ( 25 ( 26 ( 30 14)( 29 14))( 29 
-14))( 29 14)))))( 21 ( 22 ( 23 ( 30 14)( 24 ( 25 ( 26 ( 30 14)( 27 ( 28 ( 30 14
-)( 29 14))( 29 14)))( 29 14))( 29 14)))( 23 ( 30 14)( 24 ( 25 ( 26 ( 30 14)( 27
- ( 30 14)( 28 ( 30 14)( 29 14))))( 29 14))( 29 14))))( 22 ( 23 ( 30 14)( 24 ( 
-25 ( 26 ( 30 14)( 27 ( 30 14)( 29 14)))( 29 14))( 29 14)))( 23 ( 30 14)( 24 ( 
-25 ( 30 14)( 29 14))( 29 14))))))( 20 ( 21 ( 22 ( 23 ( 30 14)( 24 ( 25 ( 30 14
-)( 26 ( 27 ( 28 ( 30 14)( 29 14))( 29 14))( 29 14)))( 29 14)))( 23 ( 30 14)( 24
- ( 25 ( 30 14)( 26 ( 27 ( 30 14)( 28 ( 30 14)( 29 14)))( 29 14)))( 29 14))))( 
-22 ( 23 ( 30 14)( 24 ( 25 ( 30 14)( 26 ( 27 ( 30 14)( 29 14))( 29 14)))( 29 14)
-))( 23 ( 30 14)( 24 ( 25 ( 30 14)( 26 ( 30 14)( 29 14)))( 29 14)))))( 21 ( 22 (
- 23 ( 30 14)( 24 ( 25 ( 30 14)( 26 ( 30 14)( 27 ( 28 ( 30 14)( 29 14))( 29 14))
-))( 29 14)))( 23 ( 30 14)( 24 ( 25 ( 30 14)( 26 ( 30 14)( 27 ( 30 14)( 28 ( 30 
-14)( 29 14)))))( 29 14))))( 22 ( 23 ( 30 14)( 24 ( 25 ( 30 14)( 26 ( 30 14)( 27
- ( 30 14)( 29 14))))( 29 14)))( 23 ( 30 14)( 24 ( 30 14)( 29 14)))))))( 19 ( 20
- ( 21 ( 22 ( 23 ( 30 14)( 24 ( 30 14)( 25 ( 26 ( 27 ( 28 ( 30 14)( 29 14))( 29 
-14))( 29 14))( 29 14))))( 23 ( 30 14)( 24 ( 30 14)( 25 ( 26 ( 27 ( 30 14)( 28 (
- 30 14)( 29 14)))( 29 14))( 29 14)))))( 22 ( 23 ( 30 14)( 24 ( 30 14)( 25 ( 26
- ( 27 ( 30 14)( 29 14))( 29 14))( 29 14))))( 23 ( 30 14)( 24 ( 30 14)( 25 ( 26
- ( 30 14)( 29 14))( 29 14))))))( 21 ( 22 ( 23 ( 30 14)( 24 ( 30 14)( 25 ( 26 ( 
-30 14)( 27 ( 28 ( 30 14)( 29 14))( 29 14)))( 29 14))))( 23 ( 30 14)( 24 ( 30 14
-)( 25 ( 26 ( 30 14)( 27 ( 30 14)( 28 ( 30 14)( 29 14))))( 29 14)))))( 22 ( 23 (
- 30 14)( 24 ( 30 14)( 25 ( 26 ( 30 14)( 27 ( 30 14)( 29 14)))( 29 14))))( 23 ( 
-30 14)( 24 ( 30 14)( 25 ( 30 14)( 29 14)))))))( 20 ( 21 ( 22 ( 23 ( 30 14)( 24
- ( 30 14)( 25 ( 30 14)( 26 ( 27 ( 28 ( 30 14)( 29 14))( 29 14))( 29 14)))))( 23
- ( 30 14)( 24 ( 30 14)( 25 ( 30 14)( 26 ( 27 ( 30 14)( 28 ( 30 14)( 29 14)))( 
-29 14))))))( 22 ( 23 ( 30 14)( 24 ( 30 14)( 25 ( 30 14)( 26 ( 27 ( 30 14)( 29 
-14))( 29 14)))))( 23 ( 30 14)( 24 ( 30 14)( 25 ( 30 14)( 26 ( 30 14)( 29 14))))
-)))( 21 ( 22 ( 23 ( 30 14)( 24 ( 30 14)( 25 ( 30 14)( 26 ( 30 14)( 27 ( 28 ( 30
- 14)( 29 14))( 29 14))))))( 23 ( 30 14)( 24 ( 30 14)( 25 ( 30 14)( 26 ( 30 14)(
- 27 ( 30 14)( 28 ( 30 14)( 29 14))))))))( 22 ( 23 ( 30 14)( 24 ( 30 14)( 25 ( 
-30 14)( 26 ( 30 14)( 27 ( 30 14)( 29 14))))))( 30 14)))))))( 17 ( 18 ( 19 ( 20
- ( 21 ( 22 ( 23 ( 24 ( 25 ( 26 ( 27 ( 28 ( 29 14)( 30 14))( 30 14))( 30 14))( 
-30 14))( 30 14))( 30 14))( 23 ( 24 ( 25 ( 26 ( 27 ( 29 14)( 28 ( 29 14)( 30 14)
-))( 30 14))( 30 14))( 30 14))( 30 14)))( 22 ( 23 ( 24 ( 25 ( 26 ( 27 ( 29 14)( 
-30 14))( 30 14))( 30 14))( 30 14))( 30 14))( 23 ( 24 ( 25 ( 26 ( 29 14)( 30 14)
-)( 30 14))( 30 14))( 30 14))))( 21 ( 22 ( 23 ( 24 ( 25 ( 26 ( 29 14)( 27 ( 28 (
- 29 14)( 30 14))( 30 14)))( 30 14))( 30 14))( 30 14))( 23 ( 24 ( 25 ( 26 ( 29 
-14)( 27 ( 29 14)( 28 ( 29 14)( 30 14))))( 30 14))( 30 14))( 30 14)))( 22 ( 23 (
- 24 ( 25 ( 26 ( 29 14)( 27 ( 29 14)( 30 14)))( 30 14))( 30 14))( 30 14))( 23 ( 
-24 ( 25 ( 29 14)( 30 14))( 30 14))( 30 14)))))( 20 ( 21 ( 22 ( 23 ( 24 ( 25 ( 
-29 14)( 26 ( 27 ( 28 ( 29 14)( 30 14))( 30 14))( 30 14)))( 30 14))( 30 14))( 23
- ( 24 ( 25 ( 29 14)( 26 ( 27 ( 29 14)( 28 ( 29 14)( 30 14)))( 30 14)))( 30 14)
-)( 30 14)))( 22 ( 23 ( 24 ( 25 ( 29 14)( 26 ( 27 ( 29 14)( 30 14))( 30 14)))( 
-30 14))( 30 14))( 23 ( 24 ( 25 ( 29 14)( 26 ( 29 14)( 30 14)))( 30 14))( 30 14)
-)))( 21 ( 22 ( 23 ( 24 ( 25 ( 29 14)( 26 ( 29 14)( 27 ( 28 ( 29 14)( 30 14))( 
-30 14))))( 30 14))( 30 14))( 23 ( 24 ( 25 ( 29 14)( 26 ( 29 14)( 27 ( 29 14)( 
-28 ( 29 14)( 30 14)))))( 30 14))( 30 14)))( 22 ( 23 ( 24 ( 25 ( 29 14)( 26 ( 29
- 14)( 27 ( 29 14)( 30 14))))( 30 14))( 30 14))( 23 ( 24 ( 29 14)( 30 14))( 30 
-14))))))( 19 ( 20 ( 21 ( 22 ( 23 ( 24 ( 29 14)( 25 ( 26 ( 27 ( 28 ( 29 14)( 30 
-14))( 30 14))( 30 14))( 30 14)))( 30 14))( 23 ( 24 ( 29 14)( 25 ( 26 ( 27 ( 29 
-14)( 28 ( 29 14)( 30 14)))( 30 14))( 30 14)))( 30 14)))( 22 ( 23 ( 24 ( 29 14)(
- 25 ( 26 ( 27 ( 29 14)( 30 14))( 30 14))( 30 14)))( 30 14))( 23 ( 24 ( 29 14)( 
-25 ( 26 ( 29 14)( 30 14))( 30 14)))( 30 14))))( 21 ( 22 ( 23 ( 24 ( 29 14)( 25
- ( 26 ( 29 14)( 27 ( 28 ( 29 14)( 30 14))( 30 14)))( 30 14)))( 30 14))( 23 ( 24
- ( 29 14)( 25 ( 26 ( 29 14)( 27 ( 29 14)( 28 ( 29 14)( 30 14))))( 30 14)))( 30 
-14)))( 22 ( 23 ( 24 ( 29 14)( 25 ( 26 ( 29 14)( 27 ( 29 14)( 30 14)))( 30 14))
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-))( 29 14)))))))) <0> 
-
-end:
-
-endmodule:
\ No newline at end of file
diff --git a/salut/lib/bit-blast/a.out b/salut/lib/bit-blast/a.out
deleted file mode 100755
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diff --git a/salut/lib/bit-blast/gen_binary b/salut/lib/bit-blast/gen_binary
deleted file mode 100755
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diff --git a/salut/lib/daemon.lus b/salut/lib/daemon.lus
new file mode 100644
index 00000000..f7404b1b
--- /dev/null
+++ b/salut/lib/daemon.lus
@@ -0,0 +1,132 @@
+-- Defines various daemons (recognizers and generators)
+
+include "utils.lus"
+include "bitset.lus"
+
+--------------------------------------------------------------------------------------------
+-- recognizers
+-- |A| >= 1 for non-silent states.
+function daemon_is_distributed<<const an:int; const pn:int>>(acti, enab : bool^an^pn)
+returns (ok : bool);
+let
+  ok = daemon_is_valid<<an, pn>>(acti, enab)
+      and (silent<<an,pn>>(enab) or boolred<<1,pn,pn>>(map<<boolany<<an>>, pn>>(acti)));
+tel;
+
+-- Exactly one node is activated.
+function daemon_is_central<<const an:int; const pn:int>>(acti, enab : bool^an^pn)
+returns (ok : bool);
+let
+  ok = daemon_is_valid<<an, pn>>(acti, enab)
+      and (silent<<an,pn>>(enab) or boolred<<1,1,pn>>(map<<boolany<<an>>, pn>>(acti)));
+
+tel;
+
+-- No two neighboring nodes are active at once.
+function daemon_is_locally_central<<const an:int; const pn:int>>(
+	acti, enab : bool^an^pn;
+	adjacency : bool^pn^pn
+) returns (ok : bool);
+var
+  active : bool ^ pn;
+  active_adjacencies : bool ^ pn ^ pn;
+  no_active_adjacencies : bool ^ pn;
+  locally_central : bool ^ pn;
+let
+  active = map<<boolany<<an>>, pn>>(acti);
+  active_adjacencies = map<<inter<<pn>>, pn>>(active^pn, adjacency);
+  no_active_adjacencies = map<<boolnone<<pn>>, pn>>(active_adjacencies);
+  locally_central = map<<=>,pn>>(active, no_active_adjacencies);
+  ok = daemon_is_distributed<<an,pn>>(acti, enab)
+      and boolall<<pn>>(locally_central);
+tel;
+
+
+-- All enabled nodes are activated.
+function daemon_is_synchronous<<const an:int; const pn:int>>(acti, enab : bool^an^pn)
+returns (ok:bool);
+let
+  ok = (acti = enab);
+tel;
+
+--------------------------------------------------------------------------------------------
+-- generators
+
+-- the i  in input  is used  to get random  numbers from  daemons; it
+-- should not be  necessary for the synchronous daemon,  but it makes
+-- it more homogeneous to have the same interface for all daemons.
+function synchronous<<const an:int; const pn:int>>(i:int; enab : bool^an^pn)
+returns (acti: bool^an^pn);
+let
+  acti = enab;
+tel;
+
+function central<<const an:int; const pn:int>>(i:int;enab : bool^an^pn)
+returns (acti : bool^an^pn);
+var
+  rng, temp, nb_enab:int;
+let
+  nb_enab = red<<if_true_add_1<<an>>,pn>>(0,enab);
+  rng = i mod (if nb_enab = 0 then pn else nb_enab);
+  temp,acti = fillred<<make_activ_tab<<an>>,pn>>(rng,enab);
+tel;
+function test_central = central<<1,7>>
+
+function make_activ_tab<<const an:int>>(ain:int; elem:bool^an)
+returns(aout:int; res:bool^an);
+var
+  elem_is_true:bool;
+let
+  elem_is_true = boolany<<an>>(elem);
+  res= if elem_is_true and (ain=0) then elem else false^an; -- hyp: at most 1 action/process is enab
+  aout = if elem_is_true then ain-1 else ain;
+tel;
+
+function if_true_add_1<<const an:int>>(ain: int; elem: bool^an)
+returns(aout : int);
+let
+  aout= if boolany<<an>>(elem) then ain+1 else ain;
+tel;
+
+-- function distributed<<const an:int; const pn:int>>(enab : bool^an^pn)
+-- returns (acti : bool^an^pn);
+-- var
+--  nb_enab,rng:int;
+-- XXX todo
+
+
+--------------------------------------------------------------------------------------------
+-- utils
+
+-- No nodes enabled, the network is silent.
+function silent<<const an:int; const pn:int>>(enab: bool^an^pn)
+returns (ok : bool);
+let
+	ok = boolnone<<pn>>(map<<boolany<<an>>, pn>>(enab));
+tel;
+
+-- All nodes enabled.
+function all_active<<const an:int; const pn:int>>(enab: bool^an^pn)
+returns (ok : bool);
+let
+        ok = boolall<<pn>>(map<<boolany<<an>>, pn>>(enab));
+tel;
+
+-- Any activation Ai implies Ei was previously enabled.
+function activation_is_valid<<const an:int>>(acti, enab : bool^an) returns (ok : bool);
+let
+  ok = boolall<<an>>(map<<=>,an>>(acti, enab));
+tel;
+
+function daemon_is_valid<<const an:int; const pn:int>>(acti, enab : bool^an^pn)
+returns (ok : bool);
+let
+  ok = boolall<<pn>>(map<<activation_is_valid<<an>>, pn>>(acti, enab));
+tel;
+
+-- Measures time complexity in moves.
+node move_count<<const an:int; const pn:int>>(acti : bool^an^pn)
+returns (count:int);
+let
+  count = 0 -> (pre(count) + pop_count<<pn>>(map<<boolany<<an>>, pn>>(acti)));
+tel;
diff --git a/salut/lib/sas.lus b/salut/lib/sas.lus
deleted file mode 100644
index 78654684..00000000
--- a/salut/lib/sas.lus
+++ /dev/null
@@ -1,86 +0,0 @@
-include "utils.lus"
-include "bitset.lus"
--- include "../../test/lustre/round.lus"
-
--- No nodes enabled, the network is silent.
-function silent<<const an:int; const pn:int>>(enab: bool^an^pn)
-returns (y : bool);
-let
-	y = boolnone<<pn>>(map<<boolany<<an>>, pn>>(enab));
-tel;
-
--- All nodes enabled.
-function all_active<<const an:int; const pn:int>>(enab: bool^an^pn)
-returns (y : bool);
-let
-        y = boolall<<pn>>(map<<boolany<<an>>, pn>>(enab));
-tel;
-
--- Any activation Ai implies Ei was previously enabled.
-function activation_is_valid<<const an:int>>(acti, enab : bool^an) returns (y : bool);
-let
-  y = boolall<<an>>(map<<=>,an>>(acti, enab));
-tel;
-
-function daemon_is_valid<<const an:int; const pn:int>>(acti, enab : bool^an^pn)
-returns (y : bool);
-let
-  y = boolall<<pn>>(map<<activation_is_valid<<an>>, pn>>(acti, enab));
-tel;
-
-
--- |A| >= 1 for non-silent states.
-function daemon_is_distributed<<const an:int; const pn:int>>(acti, enab : bool^an^pn)
-returns (y : bool);
-let
-  y = daemon_is_valid<<an, pn>>(acti, enab)
-      and (silent<<an,pn>>(enab) or boolred<<1,pn,pn>>(map<<boolany<<an>>, pn>>(acti)));
-tel;
-
-(*function distributed<<const an:int; const pn:int>>(enab : bool^an^pn)
-returns (acti : bool^an^pn);
-var
-  nb_enab,rng:int;*)
--- Exactly one node is activated.
-function daemon_is_central<<const an:int; const pn:int>>(acti, enab : bool^an^pn)
-returns (y : bool);
-let
-  y = daemon_is_valid<<an, pn>>(acti, enab)
-      and (silent<<an,pn>>(enab) or boolred<<1,1,pn>>(map<<boolany<<an>>, pn>>(acti)));
-
-tel;
-
--- No two neighboring nodes are active at once.
-function daemon_is_locally_central<<const an:int; const pn:int>>(
-	acti, enab : bool^an^pn;
-	adjacency : bool^pn^pn
-) returns (y : bool);
-var
-  active : bool ^ pn;
-  active_adjacencies : bool ^ pn ^ pn;
-  no_active_adjacencies : bool ^ pn;
-  locally_central : bool ^ pn;
-let
-  active = map<<boolany<<an>>, pn>>(acti);
-  active_adjacencies = map<<inter<<pn>>, pn>>(active^pn, adjacency);
-  no_active_adjacencies = map<<boolnone<<pn>>, pn>>(active_adjacencies);
-  locally_central = map<<=>,pn>>(active, no_active_adjacencies);
-  y = daemon_is_distributed<<an,pn>>(acti, enab)
-      and boolall<<pn>>(locally_central);
-tel;
-
-
--- All enabled nodes are activated.
-function daemon_is_synchronous<<const an:int; const pn:int>>(acti, enab : bool^an^pn)
-returns (y:bool);
-let
-  y = (acti = enab);
-tel;
-
--- Measures time complexity in moves.
-node move_count<<const an:int; const pn:int>>(acti : bool^an^pn)
-returns (count:int);
-let
-  count = 0 -> (pre(count) + pop_count<<pn>>(map<<boolany<<an>>, pn>>(acti)));
-tel;
-
diff --git a/salut/test/Cycle_unison/Sh/search_config.sh b/salut/test/Cycle_unison/Sh/search_config.sh
index c534d792..abb8b9a4 100644
--- a/salut/test/Cycle_unison/Sh/search_config.sh
+++ b/salut/test/Cycle_unison/Sh/search_config.sh
@@ -24,22 +24,27 @@ clean(){
     rm -f *_check_cycles.lv4
     rm -f *.c *.h *_const.lus *.cmt *.exec *.sh rdbg-session* *.log *.pdf
     rm -f $k*
-    rm k.lus
+    rm -f k.lus
 }
 
+if [ -z ${LV6OPT} ]; then LV6OPT="" ; fi # n: 194400s = 54 hours
 
 if [ -z ${TIMEOUT} ]; then TIMEOUT=194400.; fi # n: 194400s = 54 hours
 
+if [ -z ${kind2_opt} ]; then kind2_opt ="--modular true --compositional true"; fi # n: 194400s = 54 hours
+
 clean $3$n
 echo "const k = $k ;" > k.lus
 make $topology$n.dot
 salut $topology$n.dot
-lv6 -eei ${topology}$n.lus check_cycles.lus $topology${n}_const.lus -n check_cycles -rnc --lustre-v4 -o $topology${n}_check_cycles.noexpand.lv4
-cat $topology${n}_check_cycles.noexpand.lv4 | tr '\n' '@' |sed "s/tel@/tel/g" | sed "s/@/\\n/g" | sed "s/tel-- end of node check_cycles/--%MAIN ;\n--%PROPERTY ok;\ntel\n/"  > $topology${n}_check_cycles.noexpand.lv4.tmp
+lv6 ${LV6OPT} -eei ${topology}$n.lus check_cycles.lus $topology${n}_const.lus  ../../lib/daemon.lus ../../../test/lustre/round.lus -n check_cycles -rnc --lustre-v4 -o $topology${n}_check_cycles.noexpand.lv4pascal
+cat $topology${n}_check_cycles.noexpand.lv4pascal  | tr '\n' '@' |sed "s/tel@/tel/g" | sed "s/@/\\n/g" | sed "s/tel-- end of node check_cycles/--%MAIN ;\n--%PROPERTY ok;\ntel\n/" | sed "s/telnode/tel\\nnode/" > $topology${n}_check_cycles.noexpand.lv4.tmp
+
+
 mv $topology${n}_check_cycles.noexpand.lv4.tmp $topology${n}_check_cycles.noexpand.lv4
 [ -d Log ] || mkdir Log
-echo "time kind2 --timeout ${TIMEOUT} --color false --modular true --compositional true $topology${n}_check_cycles.noexpand.lv4"  > $log
-time kind2 --timeout ${TIMEOUT} --color false --modular true --compositional true $topology${n}_check_cycles.noexpand.lv4 >> $log
+echo "time kind2  --color false ${kind2_opt} $topology${n}_check_cycles.noexpand.lv4"  > $log
+time kind2  --color false ${kind2_opt} $topology${n}_check_cycles.noexpand.lv4 >> $log
 
 ##############################################################
 clean $topology$n
diff --git a/salut/test/Cycle_unison/check_cycles.lus b/salut/test/Cycle_unison/check_cycles.lus
index 9a2e1037..52f257ec 100644
--- a/salut/test/Cycle_unison/check_cycles.lus
+++ b/salut/test/Cycle_unison/check_cycles.lus
@@ -1,60 +1,147 @@
-include "../../lib/sas.lus"
-
-
+-- include "../../lib/daemon.lus"
 
 node check_cycles(activations : bool^actions_number^card; inits : state^card) returns (ok : bool);
-var config,mirror_inits : state^card;
+var config : state^card;
 var enables : bool^actions_number^card;
-var legitimate, no_loop : bool;
+
+  --  i2 : state^card;
+var legitimate, noloop : bool;
     lustre_round : bool;
     lustre_round_nb : int;
---    all_permuts: state^card^(card-1);
 let
-  -- forbid legitimate configurations
-  assert(not (legitimate<<actions_number, card>>(enables, inits)));
+  -- forbid legitimate configurations for the initial one
+--  assert(not (legitimate<<actions_number, card>>(enables, inits)));
+
+-- Bad idea in the end
+--  assert(not(exists_a_smaller_rot_mir(inits)));
+
+  -- not necessary, saves a few percents
+--  assert( --rangei_basic<<card-1>>(inits) and
+--          inits[0]=0);
+
+--  assert(rangei<<card-1>>(inits));
+
+  assert(rangei_alt(inits));
+
 
-  -- 
   assert(true -> daemon_is_synchronous<<actions_number,card>>(activations, pre enables));
-  assert(rangei<<0,card,k>>(inits));   
   assert(true -> inits = pre inits);
-  
+--  inits = inits0 -> pre(inits);
+
   config, enables, lustre_round, lustre_round_nb = topology(activations, inits);
 
   legitimate = legitimate<<actions_number, card>>(enables, config);
-  mirror_inits = mirror<<card>>(inits);
-
-  no_loop = true -> not (config=inits or
-                         config=mirror_inits or
-                         eq_forall_permutations<<card,card-1>>(inits,mirror_inits,config)
-                         );
-  ok = no_loop or legitimate ;
+--  noloop = not (inits = config);
+-- When a no cycle exists, it is better to use rot_mir. Otherwise, no.
+  noloop = not (rot_mir(inits, config));
+  ok = true -> noloop or legitimate;
 tel;
 
---type state = int;
---node test = permutation<<2,3>>;
 
-function mirror<<const card:int>>(config: state^card) returns (res: state^card);
+-- c1 and c2 are equals up to rotation and mirroring
+function rot_mir(c1, c2:state^card) returns (res:bool);
+let
+  res = rot(c1,c2) or rot(mirror(c1), c2);
+tel
+function rot(c1, c2:state^card) returns (res:bool);
+let
+  res = c1=c2 or rot_rec<<card-1>>(c1,c2);
+tel
+function rot_rec<< const N:int>>(c1, c2:state^card) returns (res:bool);
+var c2_rot:state^card;
+let
+  c2_rot = c2[1..card-1] | [c2[0]];
+  res =
+    with (N=1) then (c1=c2_rot)
+               else (c1=c2_rot) or rot_rec<<N-1>>(c1,c2_rot);
+tel
+
+function mirror<<const card:int >>(config: state^card) returns (res: state^card);
 let
   res = with (card=1) then [config[0]]
         else mirror<<card-1>>(config[1..card-1]) | [config[0]];
 tel
 
-function eq_forall_permutations<< const card:int; const N:int>>
-(inits,mir_inits, c:state^card) returns (res:bool);
-var cp:state^card;
+
+-----------------------------------------------------------------------------------
+node rangei4<<const i:int; const k:int>>(c:state^card) returns (res:bool);
+let
+  res = with i = 0  then c[0] = 0 else
+--        with i <= k then
+                      0 <= c[i] and c[i] <= i and rangei4<<i-1,k>>(c);
+--                    else 0 <= c[i] and c[i] <= k and rangei<<i-1,k>>(c);
+tel
+
+function rangei<<const i:int>>(c:state^i+1) returns (res:bool);
+let
+  res =  0 <= c[i] and
+        with i = 0 then c[0]=0
+   else with i < k then rangei<<i-1>>(c[0..i-1]) and c[i] <= i
+                   else rangei<<i-1>>(c[0..i-1]) and c[i] <= k ;
+tel
+
+
+type acc = { i:int; res:bool };
+function range_0_k(acc: acc; ci:state) returns (res:acc);
+let
+   res = acc { i = acc.i+1; res = acc.res and 0 <= ci  and ci < k};
+tel
+function rangei_alt(c:state^card) returns (res:bool);
+let
+  res = fillred<<range_0_k, card>>(acc {i=0;res=true}, c).res;
+tel
+
+
+
+function rangei_basic<<const i:int>>(c:state^card) returns (res:bool);
 let
-  cp = c[1..card-1] | [c[0]];
-  res =  
-    with (N=1) then (cp=inits or cp=mir_inits)
-  else (cp=inits or cp=mir_inits) or eq_forall_permutations<<card, N-1>>(inits,mir_inits,cp);
+  res = with i < 0  then true
+                    else 0 <= c[i] and c[i] <= k and rangei_basic<<i-1>>(c);
 tel
 
+
 -- all states are initially in [0; card|[
-node rangei<<const low:int; const card:int; const k:int>>(c:state^card) returns (res:bool);
-var 
+function rangeii<<const low:int; const k:int>>(c:state^card) returns (res:bool);
+var
   ranges_min, ranges_max : bool^card;
 let
    ranges_min = map<< <= , card>>(low^card, c);
-   ranges_max = map<< < , card>>(c, k^card);
+   ranges_max = map<< <= , card>>(c, k^card);
    res = boolall<<card>>(ranges_min) and boolall<<card>>(ranges_max);
 tel
+
+
+-----------------------------------------------------------------------------------
+-- unused
+
+
+function smaller<< const N : int >>(c1,c2:state^N) returns (res:bool);
+let
+  res =  with (N=1) then (c1[0] < c2[0])
+                    else (c1[0] < c2[0]) or (c1[0]=c2[0] and smaller<<N-1>>(c1[1..N-1], c2[1..N-1]));
+
+tel
+
+function exists_a_smaller_rot_mir(c1:state^card) returns (res:bool);
+var
+  c2 : state^card;
+let
+  c2 = mirror(c1);
+  res = smaller<<card>>(c2, c1) or exists_a_smaller_rot(c1, c1)
+                                or exists_a_smaller_rot(c1, c2);
+tel
+
+-- there exists a rotation of c2 that is smaller than c1
+function exists_a_smaller_rot(c1, c2:state^card) returns (res:bool);
+let
+  res = exists_a_smaller_rot_rec<<card-1>>(c1, c2);
+tel
+-- there exists a rotation (among N) of c2 that is smaller than c1
+function exists_a_smaller_rot_rec<< const N:int>>(c1, c2:state^card) returns (res:bool);
+var c2_rot:state^card;
+let
+  c2_rot = c2[1..card-1] | [c2[0]];
+  res =
+    with (N=1) then smaller<<card>>(c2_rot, c1)
+               else smaller<<card>>(c2_rot, c1) or exists_a_smaller_rot_rec<<N-1>>(c1,c2_rot);
+tel
diff --git a/salut/test/Makefile.inc b/salut/test/Makefile.inc
index b1839174..2b298c84 100644
--- a/salut/test/Makefile.inc
+++ b/salut/test/Makefile.inc
@@ -37,57 +37,13 @@ OCAMLOPT=ocamlfind ocamlopt -bin-annot
 
 
 ROOTDIR=$(shell git rev-parse --show-toplevel || echo $(CI_PROJECT_DIR))
-LIB_LUS=$(ROOTDIR)/test/lustre/round.lus $(ROOTDIR)/salut/lib/sas.lus
+LIB_LUS=$(ROOTDIR)/test/lustre/round.lus $(ROOTDIR)/salut/lib/daemon.lus
 RUN_KIND2=$(ROOTDIR)/salut/test/run-kind2.sh
 
-##########################################################################################"
-# Simulations
-
-%.simu:
-	make $*.dot $*_const.lus
-	luciole-rif lv6 $(LIB_LUS) $*.lus $*_const.lus -n $* -exec
-
-%.rdbg: %.cma
-	make $*_const.lus
-	rdbg -l 10000 -sut-nd "lv6 $(LIB_LUS) $*_const.lus $*.lus  -n $* -exec"
-
-%.rdbgui: %.cma
-	make $*_const.lus
-	rdbgui4sasa -l 10000 -sut-nd "lv6 $(LIB_LUS) $*_const.lus $*.lus  -n $* -exec"
-
-##########################################################################################"
-# Use lurette to compare the lustre and the ocaml version of the algorithm
-# nb : the <dirname>/<dirname>_oracle.lus should exist and contain a valid oracle
-
-%.lurette:
-	make $*.dot $*_const.lus $*.cmxs $*_oracle.lus
-	lurette -sut "sasa -seed 172317971 $*.dot $(SASAFLAGS)" -oracle "lv6  $(LIB_LUS) $*.lus $*_oracle.lus -n oracle -2c-exec"
-
-%.lurette_no_seed:
-	make $*.dot $*_const.lus $*.cmxs $*_oracle.lus
-	lurette -sut "sasa $*.dot $(SASAFLAGS)" -oracle "lv6  $(LIB_LUS) $*.lus $*_oracle.lus -n oracle -2c-exec"
-
-### now built by dune
-#%.cmxs: %.ml
-#	$(OCAMLOPT) $(LIB) -shared state.ml $(shell sasa -algo $*.dot) config.ml $< -o $@
-
-%.cmxs: %.dot
-	topology=$* dune build
-%.cma: %.dot
-	topology=$* dune build
-
-
-%_oracle.lus: %.cmxs
-	sasa -glos $*.dot || echo ""
-
-### now built by dune
-# %.ml: %.dot
-#	sasa -reg $<
-
 
 ##########################################################################################"
 # model-checking with kind2
-# nb: it's probably better to use $(ROOTDIR)/salut/run-kind2.sh instead
+# nb: it's probably better to use $(ROOTDIR)/salut/test/run-kind2.sh instead
 
 ifndef $(prop)
 prop = verify
@@ -107,24 +63,14 @@ else
     TIME=
 endif
 
-%.expand.kind2: %_verify.lv4
-	$(TIME) kind2 --color $(color) $(kind2_opt) $<
-
-
-%.kind2:
-	make $*.dot
-	make $*_const.lus
-	make $*.verify.int8.lv4
-	$(TIME) kind2 --color $(color) $(kind2_opt) $*.verify.int8.lv4
-
-%.kind2-test:
-	make color=false $*.kind2  | (grep "^ok: valid" > $*-kind2.res || echo "") ; [  -s $*-kind2.res ]
 
-# XXX: this method of adding kind2 annotations is brittle
+# From lustre v6 to to lustre v4 (to be able to use kind2 and lesar)
+# nb: This method of adding kind2 annotations is brittle
 %.verify.lv4: %_const.lus %.lus  verify.lus
 	lv6 -eei $(LIB_LUS) $*.lus $^ $*_const.lus -n $(prop) --lustre-v4 -en -o $@
 	sed -i -e "s/tel/--%MAIN ;\n--%PROPERTY ok;\ntel/" $@
 
+# replace int by int8 (for kind2)
 %.verify.int8.lv4: %.verify.lv4
 	cat $^ | \
 	    sed -r "s/[ =](\[)?((-)?[[:digit:]]+)/ \1(int8 \2)/g" | \
@@ -132,6 +78,53 @@ endif
 	    sed -r "s/:int/:int8/g" \
 	   > $@
 
+# run kind2
+%.kind2:
+	make $*.dot
+	make $*_const.lus
+	make $*.verify.int8.lv4
+	$(TIME) kind2 --color $(color) $(kind2_opt) $*.verify.int8.lv4
+
+%.kind2-test:
+	make color=false $*.kind2
+
+##########################################################################################"
+# Simulates the Lustre algo with rdbgui4sasa
+
+%.simu:
+	make $*.rdbgui4sasa
+%.rdbgui4sasa: %.cma
+	make $*_const.lus
+	rdbgui4sasa -l 10000 -sut-nd "lv6 $(LIB_LUS) $*_const.lus $*.lus  -n $* -exec"
+
+##########################################################################################"
+# Use lurette to compare the lustre and the ocaml version of the algorithm
+# nb : the <dirname>/<dirname>_oracle.lus should exist and contain a valid oracle
+
+%.lurette:
+	make $*.dot $*_const.lus $*.cmxs $*_oracle.lus
+	lurette -sut "sasa -seed 172317971 $*.dot $(SASAFLAGS)" -oracle "lv6  $(LIB_LUS) $*.lus $*_oracle.lus -n oracle -2c-exec"
+
+# ditto, without a seed
+%.lurette_no_seed:
+	make $*.dot $*_const.lus $*.cmxs $*_oracle.lus
+	lurette -sut "sasa $*.dot $(SASAFLAGS)" -oracle "lv6  $(LIB_LUS) $*.lus $*_oracle.lus -n oracle -2c-exec"
+
+
+%.cmxs: %.dot
+	topology=$* dune build
+%.cma: %.dot
+	topology=$* dune build
+
+
+%_oracle.lus: %.cmxs
+	sasa -glos $*.dot || echo ""
+
+
+##########################################################################################"
+# model-checking with lesar
+
+
 # Do not expand nodes
 %_verify.noexpand.lv4:  verify.lus
 	make $*_const.lus
@@ -157,7 +150,7 @@ endif
 
 
 %.lesar:%_verify.ec
-	$(TIME)lesar $< $(prop) -forward -states 10000000
+	$(TIME) lesar $< $(prop) -forward -states 10000000
 
 ##########################################################################################"
 # Compare sasa and salut simulation perf
diff --git a/salut/test/dijkstra-ring/Makefile b/salut/test/dijkstra-ring/Makefile
index ce9f33c2..43a6883c 100644
--- a/salut/test/dijkstra-ring/Makefile
+++ b/salut/test/dijkstra-ring/Makefile
@@ -13,7 +13,7 @@ include ./Makefile.dot
 test: diring3.kind2-test diring4.lurette
 
 clean: genclean
-	rm -f diring*.* ring*.* 
+	rm -f diring*.* ring*.*
 
 ##############################################################################
 # Other examples of use
@@ -23,7 +23,7 @@ clean: genclean
 # run a simulation with luciole
 simu: diring4.simu
 
-# Compare the ocaml version with the lustre one 
+# Compare the ocaml version with the lustre one
 compare: diring4.lurette
 	cat dijkstra-ring.rif
 
diff --git a/salut/test/dijkstra-ring/cost.lus b/salut/test/dijkstra-ring/cost.lus
index 13d94acc..bec06fca 100644
--- a/salut/test/dijkstra-ring/cost.lus
+++ b/salut/test/dijkstra-ring/cost.lus
@@ -1,5 +1,5 @@
 
--- By convention, the root is node 0. 
+-- By convention, the root is node 0.
 function is_root(pid: int) returns (res:bool);
 let
   res = (pid = 0);
@@ -7,7 +7,7 @@ tel
 
 -- Computes the value Z of the book, that is 0 if the values are convex,
 --   and the minimum number of incrementations the root has to do so that its value
---   is different to every other value of the ring.  
+--   is different to every other value of the ring.
 -- A configuration is convex if there is no value that is the same than the root seperated from the
 -- root with another value.
 -- 2 2 2 3 0 1 3 -> convex, z=0
@@ -21,7 +21,7 @@ var
   free: bool^card;
   smallest_incre, _i:int;
   index:int^card;
-let 
+let
   acc0 = acc_t {is_root=true;convex=true; root_val=config[0]; pval_dif=false };
   acc_end = red<<iter_z, card>>(acc0, config);
 
@@ -44,7 +44,7 @@ type idx_conf = {
 
 function get_smallest_incre(acc:int; idx:int; root_val: int; free:bool) returns (nacc:int);
 let
-  nacc = if free 
+  nacc = if free
          then mini(acc, if root_val<idx then idx-root_val else idx-root_val+card)
          else acc;
 tel
@@ -57,17 +57,17 @@ tel
 
 type acc_t = {
      is_root : bool;
-     convex  : bool; 
-     root_val: int; -- constant 
+     convex  : bool;
+     root_val: int; -- constant
      pval_dif: bool; -- exists j <= curr_idx s.t. config[j] <> config[0]
 };
 function iter_z(acc:acc_t; curval : int) returns (res:acc_t);
 let
-  res = 
-          acc_t{ 
+  res =
+          acc_t{
             is_root = false;
-            convex = acc.convex and not (acc.pval_dif and acc.root_val = curval); 
-            root_val = acc.root_val; 
+            convex = acc.convex and not (acc.pval_dif and acc.root_val = curval);
+            root_val = acc.root_val;
             pval_dif = acc.pval_dif or acc.root_val <> curval
           };
 tel
@@ -80,7 +80,7 @@ var
   enabled_process: bool^card;
   dist_root: int^card;
   _d:int;
-let 
+let
   enabled_process = map<<n_or<<actions_number>>,card>> (enabled_actions);
   _d, dist_root = fill<<decr,card>>(card); -- [0; card-1; card-2; ...; 2; 1]
   res= red<<root_distance, card>>(0, dist_root, enabled_process);
diff --git a/salut/test/dijkstra-ring/root.lus b/salut/test/dijkstra-ring/root.lus
index dc6fef20..99b7c193 100644
--- a/salut/test/dijkstra-ring/root.lus
+++ b/salut/test/dijkstra-ring/root.lus
@@ -10,9 +10,10 @@ function root_step<<const degree:int>>(
   action : action)
 returns (new : state);
 let
---  new = (this + 1) mod card;
+  new = (this + 1) mod (card+1);
 
 -- to be able to use lesar (via ec2ec -usrint)
-  new = if this = card then 0 else (this + 1);
-tel;
+--  new = if this = card then 0 else (this + 1);
 
+--  new = this + 1;
+tel;
diff --git a/salut/test/dijkstra-ring/verify.lus b/salut/test/dijkstra-ring/verify.lus
index ac7b6d47..b628fedb 100644
--- a/salut/test/dijkstra-ring/verify.lus
+++ b/salut/test/dijkstra-ring/verify.lus
@@ -1,23 +1,30 @@
 
 include "cost.lus"
-const worst_case=3*card*(card-1) div 2 - card - 1;
+
+const n = card;
+
+-- Theorem 6.30 p76 in [zebook]
+const worst_case = n*(n-1) + (n-4)*(n+1) div 2 + 1;
+
+-- const worst_case=3*n*(n-1) div 2 - card - 1;
 
 node verify(
-  active : bool^actions_number^card; 
+  active : bool^actions_number^card;
   init_config : state^card
-) 
+)
 returns (ok : bool);
 var
   config : state^card;
   enabled : bool^actions_number^card;
-  legitimate, at_least_1, closure, converge, theorem : bool;
+  legitimate, at_least_1, closure, converge, theorem, worst_case_is_tigth : bool;
   steps, cost : int;
   round:bool; round_nb:int;
 let
---	assert(true -> daemon_is_central<<actions_number,card>>(active, pre enabled));
-	assert(true -> daemon_is_distributed<<actions_number,card>>(active, pre enabled));
+-- the worst-case in necessarily central
+	assert(true -> daemon_is_central<<actions_number,card>>(active, pre enabled));
+--	assert(true -> daemon_is_distributed<<actions_number,card>>(active, pre enabled));
 --	assert(true -> daemon_is_synchronous<<actions_number,card>>(active, pre enabled));
-        assert(rangei<<0,card>>(init_config));   
+        assert(rangei<<0,card>>(init_config));
 
 	config, enabled, round, round_nb = topology(active, init_config);
         assert(config = init_config -> true);
@@ -28,27 +35,28 @@ let
 
 	closure = true -> (pre(legitimate) => legitimate);
 
-        cost =  cost(enabled, config);
+        cost = cost(enabled, config);
         converge = (true -> legitimate or pre(cost)>cost);
 
 	steps = 0 -> (pre(steps) + 1);
-        theorem = (steps > worst_case) => legitimate;
-	ok =  true    
+        theorem  = (steps >= worst_case) => legitimate;
+
+        worst_case_is_tigth = (steps >= worst_case - 1) => legitimate;
+
+	ok =  true
              and at_least_1
 	     and closure
              and converge
-             and theorem -- the worst-case stabilization
-         --  and (steps > worst_case - 1) => legitimate  -- is tigth! 
+             and theorem
 ;
 tel;
 
 
 function rangei<<const low:int; const card:int>>(c:state^card) returns (res:bool);
-var 
+var
   ranges_min, ranges_max : bool^card;
 let
    ranges_min = map<< <= , card>>(low^card, c);
    ranges_max = map<< < , card>>(c, card^card);
    res = boolall<<card>>(ranges_min) and boolall<<card>>(ranges_max);
 tel
-
diff --git a/salut/test/gen-salut-batch.sh b/salut/test/gen-salut-batch.sh
index 5b94c197..11a85d92 100755
--- a/salut/test/gen-salut-batch.sh
+++ b/salut/test/gen-salut-batch.sh
@@ -1,8 +1,8 @@
-#!/bin/bash 
+#!/bin/bash
 #set -x
 
 GITROOT=$(git rev-parse --show-toplevel)
-LIB_LUS="${GITROOT}/test/lustre/round.lus ${GITROOT}/salut/lib/sas.lus"
+LIB_LUS="${GITROOT}/test/lustre/round.lus ${GITROOT}/salut/lib/daemon.lus"
 daemon_lustre_file=${GITROOT}/salut/lib/daemon.lus
 
 help=" Generate a (standalone) lustre program that runs salut with a lustre daemon
@@ -73,7 +73,7 @@ salut ${dotfile}
 # XXX state should me made of an integer
 config_init=`printf "["; for ((a=1; a < $size ; a++)) do printf "%d," $RANDOM; done;  printf "%d]" $RANDOM`
 
-timestamp=`date +"%d/%m/%Y- %H:%M:%S"` 
+timestamp=`date +"%d/%m/%Y- %H:%M:%S"`
 printf "(* Automatically generated ($timestamp) by '$0 $*' *)
 
 include \"${daemon_lustre_file}\"
@@ -95,14 +95,13 @@ The file '$outfile' has been generated.
 To run simulations, you can generate an executable:
 
    lv6 -2c -cc $outfile -n ${main_node} ${LIB_LUS} -dir ${main_node}
-   
+
 and run it:
 
-  ./${main_node}.exec 
+  ./${main_node}.exec
 
 or, to avoid the need to provide the dummy input:
 
    (for i in {1..10}; do echo $((((1<<15)| RANDOM))); done ; echo q) | ./${main_node}.exec
    (for i in {1..10}; do echo $((((1<<15)| RANDOM))); done ; echo q) | time ./${main_node}.exec  > /dev/null
 "
-
diff --git a/salut/test/run-kind2.sh b/salut/test/run-kind2.sh
index 2692b014..8e34bd26 100755
--- a/salut/test/run-kind2.sh
+++ b/salut/test/run-kind2.sh
@@ -1,36 +1,93 @@
-#!/bin/bash 
-set -x
+#!/bin/bash
+#set -x
 
 GITROOT=$(git rev-parse --show-toplevel)
-LIB_LUS="${GITROOT}/test/lustre/round.lus ${GITROOT}/salut/lib/sas.lus"
+LIB_LUS="${GITROOT}/test/lustre/round.lus ${GITROOT}/salut/lib/daemon.lus"
+
+help="This script calls kind2 to model-check the algoritm of the current dir
+(meant to be run from one of the salut/test/*/ directories).
 
-help=" 
 usage:
-  $0 topology n [property]
+  $0 topology n [[[property] [int]] [solver]]
 
 where:
   - topology is one of graph supported by gg (ring, diring, grid, etc.)
-  - n is the size of the topology [*]
-  - property is one of the verify node (in verify.lus) variable (ok by default)
-  
-[*] except for grids, where the size of the topology would be n*n
-
+  - n is the size of the topology [1]
+  - property is one of the verify node variable (in verify.lus) (ok by default)
+  - int is in {int, int8, uint8, int16, uint16, ..., uinit64} [2] (int by default)
+  - solver is in {Z3, Bitwuzla, cvc5, MathSAT, Yices, Yices2} [3] (Bitwuzla by default)
+
+example of use:
+  $0 diring 5
+  $0 diring 5 theorem
+  $0 diring 5 theorem int8
+  $0 diring 5 theorem int8 Z3
+
+[1] except for grids, where the size of the topology is n*n
+[2] int means natural numbers (infinite)
+  uint8  : 0 to 255
+  uint16 : 0 to 65535
+  uint32 : 0 to 4294967295
+  uint64 : 0 to 18446744073709551615
+  int8   : -128 to 127
+  int16  : -32768 to 32767
+  int32  : -2147483648 to 2147483647
+  int64  : -9223372036854775808 to 9223372036854775807
+[3] cf kind2 documentation
 "
 
-# 2 arguments only
+#### Dealing with CL arguments
+# at least 2 arguments are required
   if [[ $# < 2 ]]
   then
       printf "$help"
       exit 2
   elif [[ $# == 2 ]]
   then
-      prop=ok
+     topology=$1
+     n=$2
+     main=$1$2
+     prop=ok
+     int=int
+     solver=Bitwuzla
+      shift
+      shift
+  elif [[ $# == 3 ]]
+  then
+     topology=$1
+     n=$2
+     main=$1$2
+      prop=$3
+      int=int
+     solver=Bitwuzla
+      shift
+      shift
+      shift
+  elif [[ $# == 4 ]]
+  then
+     topology=$1
+     n=$2
+     main=$1$2
+      prop=$3
+      int=$4
+      solver=Bitwuzla
+      shift
+      shift
+      shift
+      shift
   else
+     topology=$1
+     n=$2
+     main=$1$2
       prop=$3
+      int=$4
+      solver=$5
+      shift
+      shift
+      shift
+      shift
+      shift
 fi
-topology=$1
-n=$2
-main=$1$2
 
 if [[ $topology == "grid" ]]
     then
@@ -39,11 +96,13 @@ else
     size=$n
 fi
 
-
+#### playing with kind2 options
 kind2_opt="--timeout 36000 -json -v "
 kind2_opt="--enable BMC --enable IND --timeout 36000 -json -v"
-kind2_opt="--enable BMC --enable IND --timeout 36000"
+kind2_opt="--enable BMC --enable IND --enable IC3 --timeout 36000"
+kind2_opt="--smt_solver $solver --enable BMC --enable IND --timeout 36000 $@"
 
+# --qe_method {precise|impl|cooper}
 
 # work in a tmp dir to ease the cleaning
 TMP=.tmp-`uname -n`
@@ -52,46 +111,41 @@ cp Makefile ${TMP}
 cp ${GITROOT}/salut/test/Makefile.inc  ${TMP}
 cp ${GITROOT}/salut/test/Makefile.dot  ${TMP}
 cp *.lus ${TMP}
-cp ${LIB_LUS} ${TMP} 
+cp ${LIB_LUS} ${TMP}
 cd  ${TMP}
 
-
-make $main.dot || (echo "Beware: Makefile.dot should be in the scope of make!"; exit 2)
-
+make $main.dot || (echo "E: is Makefile.dot included from Makefile?"; exit 2)
 make ${main}_const.lus
 
+# Get rif of the lutre v6 constructs that kind2 does not handle
+lv6 -eei ${LIB_LUS} $main.lus verify.lus ${main}_const.lus -n verify --lustre-v4 -en -knc -o $main.verify.lv4
 
-INT=uint8
-INT=uint16
-INT=int8
-
-# Building the  $main.verify.${INT}.lv4 (cf make $main.verify.${INT}.lv4
-# using lv6 and sed (to set the property and to perform $INT conversion
-lv6 -eei ${LIB_LUS} $main.lus verify.lus ${main}_const.lus -n verify --lustre-v4 -en -o $main.verify.lv4
+# set the property to check
 sed -i -e "s/tel/--%MAIN ;\n--%PROPERTY $prop;\ntel/" $main.verify.lv4
-cat $main.verify.lv4 | \
-    sed -r "s/[ =](\[)?((-)?[[:digit:]]+)/ \1(${INT} \2)/g" | \
-    sed -r "s/\(((-)?[[:digit:]]+)\)/(${INT} \1)/g" | \
-    sed -r "s/:int/:${INT}/g" \
-    > $main.verify.${INT}.lv4
-
 
+# using machine integers instead of int
+cat $main.verify.lv4 | \
+    sed -r "s/[ =](\[)?((-)?[[:digit:]]+)/ \1(${int} \2)/g" | \
+    sed -r "s/\(((-)?[[:digit:]]+)\)/(${int} \1)/g" | \
+    sed -r "s/:int/:${int}/g" \
+    > $main.verify.${int}.lv4
 
 
 start=`date +%s.%N`
-time kind2 --color true ${kind2_opt} $main.verify.${INT}.lv4
+time kind2 --color true ${kind2_opt} $main.verify.${int}.lv4
 end=`time date +%s.%N`
 wallclock=$( echo "$end - $start" | bc -l )
 
-timestamp=`date +"%d/%m/%Y-%H:%M:%S"` 
+timestamp=`date +"%d/%m/%Y-%H:%M:%S"`
 algodir=$(dirname $PWD)
 algo=$(basename $algodir)
 
 LC_NUMERIC="en_US.UTF-8"
 
-# let's keep a track of all runs (it's expensive, it should not be lost)
+# let's keep a track of all runs (it can expensive, it should not be lost)
+# in a .org file
 ALL_RESULT="${GITROOT}/salut/test/kind2-result-`uname -n`.org"
-printf "| %s | %s | %s | %s | %.2f  | %s | %s |\n" $algo ${topology} ${size}  \
-     $prop $wallclock $timestamp `kind2 --version | cut -d ' ' -f2` >> ${ALL_RESULT}
+printf "| %s | %s | %s  | %s | %.2f | %s | %s | %s | %s |\n" $algo ${topology} ${size}  \
+     $prop $wallclock $int $solver $timestamp `kind2 --version | cut -d ' ' -f2` >> ${ALL_RESULT}
 
 echo "cf ${ALL_RESULT}"
\ No newline at end of file
diff --git a/test/README.org b/test/README.org
index bec896c6..91b07537 100644
--- a/test/README.org
+++ b/test/README.org
@@ -18,26 +18,29 @@ Self-Stabilizing Algorithms'' By Altisen, Devismes, Dubois, and Petit.
 
 It  also   contains  implementations   of  algorithms  found   in  the
 literature:
-1. =test/async-unison/=: Asynchronous unison ("Asynchronous
+1) =test/async-unison/=: Asynchronous unison ("Asynchronous
    unison" by Couvreur,  J., Francez, N.,  and Gouda, M. G. in 1992)
-2. =test/st-CYH91=:    another   Spanning    tree   construction    ("A
+2) =test/st-CYH91=:    another   Spanning    tree   construction    ("A
    self-stabilizing algorithm for constructing spanning trees" by Chen,
    Yu, and Huang in 1991)
-3. =test/bfs-st-HC92=:  another  BFS  Spanning tree  construction  ("A
+3) =test/bfs-st-HC92=:  another  BFS  Spanning tree  construction  ("A
    self-stabilizing algorithm for  constructing breadth-first trees" by
     Huang and Chen in 1992)
-4. =test/st-KK06_algo1= and =test/st-KK06_algo2=: another Spanning tree
+4) =test/st-KK06_algo1= and =test/st-KK06_algo2=: another Spanning tree
    construction ("A  Self-stabilizing Algorithm for Finding  a Spanning
    Tree in a Polynomial Number of Moves" by Kosowski and Kuszner, 2006)
-5. =test/dfs/=: a Depth  First Search using arrays  (the ``atomic state
+5) =test/dfs/=: a Depth  First Search using arrays  (the ``atomic state
    model'' version of a [[http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.57.1100&rep=rep1&type=pdf][Depth First Search algorithm proposed by Collin and Dolev in 1994]])
-6. =test/dfs-list/=:  the same  Depth First  Search, but  using lists
+6) =test/dfs-list/=:  the same  Depth First  Search, but  using lists
   instead or arrays
-7. =test/rsp-tree/=: The Algorithm 1 of "Self-Stabilizing Disconnected
+7) =test/rsp-tree/=: The Algorithm 1 of "Self-Stabilizing Disconnected
    Components Detection  and Rooted Shortest-Path Tree  Maintenance in
    Polynomial  Steps" by  Stéphane Devismes,  David Ilcinkas,  Colette
    Johnen.
-
+8)  =test/toy-example-a5sf=:  The  Algorithm   described  page  5  of
+   "Acyclic  Strategy  for   Silent  Self-Stabilization  in  Spanning
+   Forests" by  Karine Altisen, Stéphane Devismes,  and Anaı̈s Durand,
+   SSS 2018
 
 Each directory contains working examples, which are checked using the
 Continuous Integration  facilities of  Gitlab (cf  the [[https://gricad-gitlab.univ-grenoble-alpes.fr/verimag/synchrone/sasa/tree/master/.gitlab-ci.yml][.gitlab-ci.yml]]
diff --git a/test/async-unison/p.ml b/test/async-unison/p.ml
index dfc79496..15ea759a 100644
--- a/test/async-unison/p.ml
+++ b/test/async-unison/p.ml
@@ -1,9 +1,13 @@
-(* Time-stamp: <modified the 07/02/2023 (at 12:06) by Erwan Jahier> *)
+(* Time-stamp: <modified the 01/03/2023 (at 11:28) by Erwan Jahier> *)
 
-(* Couvreur,  J., Francez, N.,  and Gouda, M. G.  (1992) Asynchronous
-   unison (extended abstract). Proceedings  of the 12th International
-   Conference on Distributed Computing Systems, Yokohama, Japan, June
-   9-12, pp.  486–493. IEEE Computer Society.  *)
+(* Bouded unison, cf Section 5 in:
+
+     Couvreur,  J., Francez, N.,  and Gouda, M. G.  (1992) Asynchronous
+     unison (extended abstract). Proceedings  of the 12th International
+     Conference on Distributed Computing Systems, Yokohama, Japan, June
+     9-12, pp.  486–493. IEEE Computer Society.
+
+*)
 open Algo
 
 let n = Algo.card()
@@ -11,16 +15,15 @@ let k = n * n + 1
 
 let (init_state: int state_init_fun) = fun _n _ -> (Random.int k)
 
-let modulo x n = if x < 0 then n+x mod n else x mod n
+let modulo x n = x mod n |> fun x -> if x < 0 then n+x mod n else x
 
 let behind pc qc = (modulo (qc-pc) k) <= n
+let far pc qc = (not (behind pc qc)) && (not (behind qc pc))
 
 let (enable_f: int enable_fun) =
   fun c nl ->
     if List.for_all (fun q -> behind c (state q)) nl then ["I(p)"] else
-    if List.exists  (fun q -> not (behind c (state q)) &&
-         		      not (behind (state q) c)) nl
-       && c <> 0 then ["R(p)"] else []
+    if List.exists  (fun q -> far c (state q)) nl && c <> 0 then ["R(p)"] else []
 
 let (step_f: int step_fun) =
   fun c _nl a ->
diff --git a/test/async-unison/ring.dot b/test/async-unison/ring.dot
index dbb0da3d..06465973 100644
--- a/test/async-unison/ring.dot
+++ b/test/async-unison/ring.dot
@@ -1,5 +1,4 @@
 graph ring7 {
-
  p1 [algo="p.ml"]
  p2 [algo="p.ml" ]
  p3 [algo="p.ml"]
@@ -7,7 +6,6 @@ graph ring7 {
  p5 [algo="p.ml"]
  p6 [algo="p.ml"]
  p7 [algo="p.ml"]
-
  p1 -- p2 -- p3 -- p4 -- p5 -- p6 -- p7 -- p1
  
 }
diff --git a/test/k-clustering/Makefile b/test/k-clustering/Makefile
index 53467270..98a93925 100644
--- a/test/k-clustering/Makefile
+++ b/test/k-clustering/Makefile
@@ -1,4 +1,4 @@
-# Time-stamp: <modified the 18/01/2023 (at 11:49) by Erwan Jahier>
+# Time-stamp: <modified the 06/03/2023 (at 15:47) by Erwan Jahier>
 
 DECO_PATTERN="0-:p.ml"
 SEED=--seed 42
@@ -30,9 +30,6 @@ sim2chrogtk: fig52_kcl.rif
 gnuplot: fig52_kcl.rif
 	gnuplot-rif $<
 
-rdbg: fig52_kcl.ml
-	rdbg --sasa -o fig52_kcl.rif -env "sasa fig52_kcl.dot -gcd"
-
 rdbg: fig52_kcl.ml
 	rdbg --sasa -o fig52_kcl.rif -env "sasa fig52_kcl.dot -cd"
 
diff --git a/test/lustre/README.org b/test/lustre/README.org
new file mode 100644
index 00000000..db968bdd
--- /dev/null
+++ b/test/lustre/README.org
@@ -0,0 +1 @@
+Lustre files useful to define test oracles of ASM algorithms defined in ocaml/sasa
diff --git a/test/unison/config.ml b/test/unison/config.ml
index 92348ed0..e7624717 100644
--- a/test/unison/config.ml
+++ b/test/unison/config.ml
@@ -1,5 +1,4 @@
 
-let potential = None (* None => only -sd, -cd, -lcd, -dd, or -custd are possible *)
 let fault = None (* None => the simulation stop once a legitimate configuration is reached *)
 
 
@@ -13,3 +12,4 @@ let legitimate pidl from_pid =
 
 let legitimate = Some legitimate
 let init_search_utils = None
+let potential = None
-- 
GitLab