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lustrec / ex3_correct.smt2 @ 4f3cc9f3

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; COUNTER
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(declare-var COUNTER.init Int)
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(declare-var COUNTER.incr Int)
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(declare-var COUNTER.X Bool)
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(declare-var COUNTER.reset Bool)
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(declare-var COUNTER.C Int)
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(declare-var COUNTER.__COUNTER_1_c Int)
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(declare-var COUNTER.__COUNTER_1_x Int)
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(declare-var COUNTER.PC Int)
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(declare-rel COUNTER_init (Int Int Bool Bool Int Int))
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(declare-rel COUNTER_step (Int Int Bool Bool Int Int Int))
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(rule (=> 
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  (and (= COUNTER.PC COUNTER.init)
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       (= COUNTER.C (ite COUNTER.reset COUNTER.init
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                       (ite COUNTER.X (+ COUNTER.PC COUNTER.incr) COUNTER.PC)))
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       (= COUNTER.__COUNTER_1_x COUNTER.C)
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  )
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  (COUNTER_init COUNTER.init COUNTER.incr COUNTER.X COUNTER.reset COUNTER.C COUNTER.__COUNTER_1_x)
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))
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(rule (=> 
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  (and (= COUNTER.PC COUNTER.__COUNTER_1_c)
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       (= COUNTER.C (ite COUNTER.reset COUNTER.init
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                       (ite COUNTER.X (+ COUNTER.PC COUNTER.incr) COUNTER.PC)))
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       (= COUNTER.__COUNTER_1_x COUNTER.C)
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  )
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  (COUNTER_step COUNTER.init COUNTER.incr COUNTER.X COUNTER.reset COUNTER.C COUNTER.__COUNTER_1_c COUNTER.__COUNTER_1_x)
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))
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; speed
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(declare-var speed.beacon Bool)
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(declare-var speed.second Bool)
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(declare-var speed.late Bool)
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(declare-var speed.early Bool)
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(declare-var speed.__speed_3_c Bool)
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(declare-var speed.__speed_6_c Bool)
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(declare-var speed.ni_4.COUNTER.__COUNTER_1_c Int)
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(declare-var speed.__speed_3_x Bool)
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(declare-var speed.__speed_6_x Bool)
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(declare-var speed.ni_4.COUNTER.__COUNTER_1_x Int)
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(declare-var speed.__speed_1 Bool)
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(declare-var speed.__speed_2 Bool)
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(declare-var speed.__speed_4 Bool)
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(declare-var speed.__speed_5 Bool)
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(declare-var speed.__speed_7 Bool)
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(declare-var speed.__speed_8 Bool)
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(declare-var speed.diff Int)
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(declare-var speed.incr Int)
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(declare-rel speed_init (Bool Bool Bool Bool Bool Bool Int))
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(declare-rel speed_step (Bool Bool Bool Bool Bool Bool Int Bool Bool Int))
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(rule (=> 
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  (and (= speed.__speed_2 (and speed.second (not speed.beacon)))
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       (= speed.__speed_1 (and speed.beacon (not speed.second)))
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       (= speed.incr (ite speed.__speed_1 1 (ite speed.__speed_2 2 0)))
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       (COUNTER_init 0 speed.incr (or speed.beacon speed.second) false speed.diff speed.ni_4.COUNTER.__COUNTER_1_x)
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       (= speed.__speed_7 speed.__speed_6_c)
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       (= speed.__speed_8 (ite speed.__speed_7 (< speed.diff 0)
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                             (<= speed.diff (- 10))))
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       (= speed.late false)
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       (= speed.__speed_4 speed.__speed_3_c)
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       (= speed.__speed_5 (ite speed.__speed_4 (> speed.diff 0)
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                             (>= speed.diff 10)))
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       (= speed.early false)
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       (= speed.__speed_6_x speed.late)
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       (= speed.__speed_3_x speed.early)
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  )
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  (speed_init speed.beacon speed.second speed.late speed.early speed.__speed_3_x speed.__speed_6_x speed.ni_4.COUNTER.__COUNTER_1_x)
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))
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(rule (=> 
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  (and (= speed.__speed_2 (and speed.second (not speed.beacon)))
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       (= speed.__speed_1 (and speed.beacon (not speed.second)))
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       (= speed.incr (ite speed.__speed_1 1 (ite speed.__speed_2 2 0)))
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       (COUNTER_step 0 speed.incr (or speed.beacon speed.second) false speed.diff speed.ni_4.COUNTER.__COUNTER_1_c speed.ni_4.COUNTER.__COUNTER_1_x)
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       (= speed.__speed_7 speed.__speed_6_c)
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       (= speed.__speed_8 (ite speed.__speed_7 (< speed.diff 0)
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                             (<= speed.diff (- 10))))
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       (= speed.late speed.__speed_8)
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       (= speed.__speed_4 speed.__speed_3_c)
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       (= speed.__speed_5 (ite speed.__speed_4 (> speed.diff 0)
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                             (>= speed.diff 10)))
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       (= speed.early speed.__speed_5)
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       (= speed.__speed_6_x speed.late)
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       (= speed.__speed_3_x speed.early)
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  )
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  (speed_step speed.beacon speed.second speed.late speed.early speed.__speed_3_c speed.__speed_6_c speed.ni_4.COUNTER.__COUNTER_1_c speed.__speed_3_x speed.__speed_6_x speed.ni_4.COUNTER.__COUNTER_1_x)
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))
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; top
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(declare-var top.beacon Bool)
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(declare-var top.second Bool)
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(declare-var top.OK Bool)
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(declare-var top.__top_1_c Bool)
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(declare-var top.ni_1.speed.__speed_3_c Bool)
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(declare-var top.ni_1.speed.__speed_6_c Bool)
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(declare-var top.ni_1.ni_4.COUNTER.__COUNTER_1_c Int)
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(declare-var top.__top_1_x Bool)
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(declare-var top.ni_1.speed.__speed_3_x Bool)
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(declare-var top.ni_1.speed.__speed_6_x Bool)
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(declare-var top.ni_1.ni_4.COUNTER.__COUNTER_1_x Int)
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(declare-var top.early Bool)
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(declare-var top.late Bool)
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(declare-rel top_init (Bool Bool Bool Bool Bool Bool Int))
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(declare-rel top_step (Bool Bool Bool Bool Bool Bool Int Bool Bool Bool Int))
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(rule (=> 
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  (and (speed_init top.beacon top.second top.late top.early top.ni_1.speed.__speed_3_x top.ni_1.speed.__speed_6_x top.ni_1.ni_4.COUNTER.__COUNTER_1_x)
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       (= top.OK true)
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       (= top.__top_1_x top.early)
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  )
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  (top_init top.beacon top.second top.OK top.__top_1_x top.ni_1.speed.__speed_3_x top.ni_1.speed.__speed_6_x top.ni_1.ni_4.COUNTER.__COUNTER_1_x)
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))
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(rule (=> 
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  (and (speed_step top.beacon top.second top.late top.early top.ni_1.speed.__speed_3_c top.ni_1.speed.__speed_6_c top.ni_1.ni_4.COUNTER.__COUNTER_1_c top.ni_1.speed.__speed_3_x top.ni_1.speed.__speed_6_x top.ni_1.ni_4.COUNTER.__COUNTER_1_x)
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       (= top.OK (or (not top.__top_1_c) (not top.late)))
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       (= top.__top_1_x top.early)
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  )
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  (top_step top.beacon top.second top.OK top.__top_1_c top.ni_1.speed.__speed_3_c top.ni_1.speed.__speed_6_c top.ni_1.ni_4.COUNTER.__COUNTER_1_c top.__top_1_x top.ni_1.speed.__speed_3_x top.ni_1.speed.__speed_6_x top.ni_1.ni_4.COUNTER.__COUNTER_1_x)
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))
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; Collecting semantics with main node top
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(declare-rel MAIN (Bool Bool Bool Int Bool))
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; Initial set
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(declare-rel INIT_STATE ())
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(rule INIT_STATE)
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(rule (=> 
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  (and INIT_STATE
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       (top_init top.beacon top.second top.OK top.__top_1_x top.ni_1.speed.__speed_3_x top.ni_1.speed.__speed_6_x top.ni_1.ni_4.COUNTER.__COUNTER_1_x)
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  )
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  (MAIN top.__top_1_x top.ni_1.speed.__speed_3_x top.ni_1.speed.__speed_6_x top.ni_1.ni_4.COUNTER.__COUNTER_1_x top.OK)
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))
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; Inductive def
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(declare-var dummy Bool)
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(rule (=> 
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  (and (MAIN top.__top_1_c top.ni_1.speed.__speed_3_c top.ni_1.speed.__speed_6_c top.ni_1.ni_4.COUNTER.__COUNTER_1_c dummy)
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       (top_step top.beacon top.second top.OK top.__top_1_c top.ni_1.speed.__speed_3_c top.ni_1.speed.__speed_6_c top.ni_1.ni_4.COUNTER.__COUNTER_1_c top.__top_1_x top.ni_1.speed.__speed_3_x top.ni_1.speed.__speed_6_x top.ni_1.ni_4.COUNTER.__COUNTER_1_x)
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  )
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  (MAIN top.__top_1_x top.ni_1.speed.__speed_3_x top.ni_1.speed.__speed_6_x top.ni_1.ni_4.COUNTER.__COUNTER_1_x top.OK)
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))
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; Property def
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(declare-rel ERR ())
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(rule (=> 
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  (and (not (= top.OK true))
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       (MAIN top.__top_1_c top.ni_1.speed.__speed_3_c
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       top.ni_1.speed.__speed_6_c top.ni_1.ni_4.COUNTER.__COUNTER_1_c top.OK))
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  ERR))
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(query ERR)