From Stdlib Require Import Strings.String.
From Stdlib Require Import String Ascii.
From Stdlib Require Arith.
From stdpp Require Import base.
From stdpp Require Import fin_maps.
From stdpp Require Import gmap.
From stdpp Require Import base gmultiset.
From Stdlib Require Classical.
From Stdlib Require Import ZArith.
From stdpp.bitvector Require Import definitions tactics.
From Stdlib Require Import Sorting.Sorted.
From Stdlib Require Import Reals.Rbasic_fun.
From Stdlib Require Import Reals.Abstract.ConstructiveAbs.
From Stdlib Require Import Reals.Rdefinitions.
From stdpp Require Import list_relations.
From stdpp Require Import list_numbers.
From stdpp Require Import functions.
From Stdlib Require Import ClassicalEpsilon.
From stdpp Require Import base decidable.
From Stdlib Require Import ZArith.Zeuclid.
From Stdlib Require Import ZArith.Znumtheory.
From stdpp Require Import propset.
From Stdlib Require Import Reals.
Require Import Why3.Base.
Require Import Why3.Qed.Qed.
Require Import Why3.Memory.Memory.
Require Import Why3.Cint.Cint.
Require Import contiki_list.Compound.Compound.
Require Import contiki_list.S1_list.S1_list.
Require Import contiki_list.Axiomatic.Axiomatic.
Open Scope Z_scope.
Theorem goal39 (a_1 : addr) (t_1 : addr -> addr) (a : addr) (t_2 : addr -> addr) (t : Z -> Z) (i : Z) (t_3 : addr -> addr) : let a_2 : addr := shift a_1 0%Z in let a_3 : addr := t_1 a in let a_4 : addr := shift (t_2 a) 0%Z in let a_5 : addr := t_2 a_4 in region (base a) ≤ 0%Z -> region (base a_1) ≤ 0%Z -> framed t_1 -> linked t -> is_sint32 i -> valid_rd t a 1%Z -> valid_rw t a 1%Z -> valid_rw t a_2 2147483646%Z -> separated a 1%Z a_2 2147483646%Z -> separated a_3 4%Z a_2 2147483646%Z -> p_linked_n t t_1 a_3 a_1 i 1%Z (Mk_addr 0%Z 0%Z) -> (if decide (a_3 = Mk_addr 0%Z 0%Z) then t_3 = t_1 else t_2 = t_1 ∧ a_5 = Mk_addr 0%Z 0%Z ∧ fun_updt t_2 a a_5 = t_3 ∧ valid_rd t a_4 1%Z) -> (∀(i_1 : Z), i ≤ i_1 -> i_1 ≤ i -> separated a 1%Z (t_1 (shift a_1 i_1)) 4%Z) -> (∀(i_1 : Z), i ≤ i_1 -> i_1 ≤ i -> separated (t_1 (shift a_1 i_1)) 4%Z a_2 2147483646%Z) -> (∀(i_2 : Z) (i_1 : Z), ¬ i_2 = i_1 -> i ≤ i_1 -> i ≤ i_2 -> i_1 ≤ i -> i_2 ≤ i -> ¬ t_1 (shift a_1 i_2) = t_1 (shift a_1 i_1)) -> (∀(i_2 : Z) (i_1 : Z), ¬ i_2 = i_1 -> i ≤ i_1 -> i ≤ i_2 -> i_1 ≤ i -> i_2 ≤ i -> separated (t_1 (shift a_1 i_2)) 4%Z (t_1 (shift a_1 i_1)) 4%Z) -> p_linked_n t t_3 (t_3 a) a_1 i 0%Z (Mk_addr 0%Z 0%Z).
Admitted.
