## lustrec/test/src/kind_fmcad08/misc/ticket3i_all.lus @ 3e36d4e0

1 | 0cbf0839 | ploc | |
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2 | node Sofar( X : bool ) returns ( Sofar : bool ); |
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3 | ```
let
``` |
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4 | Sofar = X -> X and pre Sofar; |
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5 | ```
tel
``` |
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6 | |||

7 | node excludes9( X1, X2, X3, X4, X5, X6, X7, X8, X9 : bool ) returns ( excludes : bool ); |
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8 | ```
let
``` |
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9 | excludes = not X1 and not X2 and not X3 and not X4 and not X5 and not X6 and not X7 and not X8 and not X9 or |
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10 | X1 and not X2 and not X3 and not X4 and not X5 and not X6 and not X7 and not X8 and not X9 or |
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11 | not X1 and X2 and not X3 and not X4 and not X5 and not X6 and not X7 and not X8 and not X9 or |
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12 | not X1 and not X2 and X3 and not X4 and not X5 and not X6 and not X7 and not X8 and not X9 or |
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13 | not X1 and not X2 and not X3 and X4 and not X5 and not X6 and not X7 and not X8 and not X9 or |
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14 | not X1 and not X2 and not X3 and not X4 and X5 and not X6 and not X7 and not X8 and not X9 or |
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15 | not X1 and not X2 and not X3 and not X4 and not X5 and X6 and not X7 and not X8 and not X9 or |
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16 | not X1 and not X2 and not X3 and not X4 and not X5 and not X6 and X7 and not X8 and not X9 or |
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17 | not X1 and not X2 and not X3 and not X4 and not X5 and not X6 and not X7 and X8 and not X9 or |
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18 | not X1 and not X2 and not X3 and not X4 and not X5 and not X6 and not X7 and not X8 and X9; |
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19 | ```
tel
``` |
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20 | |||

21 | node ticket3i(e1, e2, e3, e4, e5, e6, e7, e8, e9 : bool; |
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22 | init_a1, init_a2, init_a3, init_t : int) returns ( |
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23 | p1, p2, p3, t, s, a1, a2, a3 : int; erreur_ticket3i : bool); |
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24 | ```
var
``` |
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25 | g1, g2, g3, g4, g5, g6, g7, g8, g9 : bool; |
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26 | ```
let
``` |
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27 | |||

28 | erreur_ticket3i = if((p1>=3) or (p2>=3) or (p3>=3)) then true else false; |
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29 | |||

30 | g1 = pre p1 = 0; |
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31 | g2 = pre p1 = 1 and pre s >= a1; |
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32 | g3 = pre p1 = 2; |
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33 | g4 = pre p2 = 0; |
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34 | g5 = pre p2 = 1 and pre s >= a2; |
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35 | g6 = pre p2 = 2; |
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36 | g7 = pre p3 = 0; |
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37 | g8 = pre p3 = 1 and pre s >= a3; |
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38 | g9 = pre p3 = 2; |
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39 | |||

40 | p1 = 0 -> |
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41 | if(e1) then if(g1) then 1 else pre p1 else |
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42 | if(e2) then if(g2) then 2 else pre p1 else |
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43 | if(e3) then if(g3) then 0 else pre p1 else |
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44 | pre p1; |
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45 | |||

46 | p2 = 0 -> |
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47 | if(e4) then if(g4) then 1 else pre p2 else |
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48 | if(e5) then if(g5) then 2 else pre p2 else |
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49 | if(e6) then if(g6) then 0 else pre p2 else |
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50 | pre p2; |
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51 | |||

52 | p3 = 0 -> |
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53 | if(e7) then if(g7) then 1 else pre p3 else |
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54 | if(e8) then if(g8) then 2 else pre p3 else |
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55 | if(e9) then if(g9) then 0 else pre p3 else |
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56 | pre p3; |
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57 | |||

58 | t = init_t -> |
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59 | if(e1) then if(g1) then pre t+1 else pre t else |
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60 | if(e4) then if(g4) then pre t+1 else pre t else |
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61 | if(e7) then if(g7) then pre t+1 else pre t else |
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62 | pre t; |
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63 | |||

64 | s = t -> |
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65 | if(e3) then if(g3) then pre s+1 else pre s else |
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66 | if(e6) then if(g6) then pre s+1 else pre s else |
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67 | if(e9) then if(g9) then pre s+1 else pre s else |
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68 | pre s; |
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69 | |||

70 | a1 = init_a1 -> |
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71 | if(e1) then if(g1) then pre t else pre a1 else |
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72 | pre a1; |
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73 | |||

74 | a2 = init_a2 -> |
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75 | if(e4) then if(g4) then pre t else pre a2 else |
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76 | pre a2; |
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77 | |||

78 | a3 = init_a3 -> |
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79 | if(e7) then if(g7) then pre t else pre a3 else |
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80 | pre a3; |
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81 | |||

82 | ```
tel
``` |
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83 | |||

84 | 3e36d4e0 | ploc | ```
--@ ensures OK;
``` |

85 | 0cbf0839 | ploc | node top( e1, e2, e3, e4, e5, e6, e7, e8, e9 : bool; |

86 | init_a1, init_a2, init_a3, init_t : int ) |
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87 | returns ( OK : bool ); |
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88 | var p1, p2, p3, t, s, a1, a2, a3 : int; |
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89 | erreur_ticket3i : bool; |
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90 | env : bool; |
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91 | ```
let
``` |
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92 | ( p1, p2, p3, t, s, a1, a2, a3 , erreur_ticket3i ) = |
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93 | ticket3i( e1, e2, e3, e4, e5, e6, e7, e8, e9, |
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94 | init_a1, init_a2, init_a3, init_t ); |
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95 | env = Sofar( excludes9( e1, e2, e3, e4, e5, e6, e7, e8, e9 ) and |
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96 | init_a1 >= 0 and |
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97 | init_a2 >= 0 and |
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98 | init_a3 >= 0 and |
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99 | init_t >= 0 ); |
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100 | OK = env => not erreur_ticket3i and |
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101 | 0 <= p1 and p1 <= 3 and |
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102 | 0 <= p2 and p2 <= 3 and |
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103 | 0 <= p3 and p3 <= 3 and |
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104 | p1 + p2 + p3 <= 9; |
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105 | ```
--%PROPERTY OK=true;
``` |
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106 | ```
--%MAIN;
``` |
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107 | ```
tel
``` |