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 x509_parser.Compound.Compound.
Require Import x509_parser.Globals.Globals.
Open Scope Z_scope.
Theorem goal0 (i_9 : Z) (i_10 : Z) (a_5 : addr) (i_6 : Z) (i_8 : Z) (a_1 : addr) (i_14 : Z) (i_7 : Z) (a : addr) (a_3 : addr) (a_4 : addr) (t_3 : addr -> addr) (t_1 : Z -> Z) (i_1 : Z) (i_11 : Z) (i_12 : Z) (i_13 : Z) (i : Z) (i_2 : Z) (i_3 : Z) (i_4 : Z) (i_5 : Z) (i_15 : Z) (t_4 : addr -> addr) (t_5 : addr -> addr) (t_2 : addr -> Z) (t : Z -> Z) (a_2 : addr) : let x : Z := i_9 + i_10 in let a_6 : addr := shift a_5 (2%Z + i_6 + i_9) in let x_2 : Z := 2147483647%Z + i_8 in let a_7 : addr := shift a_1 2%Z in let x_3 : Z := i_8 + i_14 in let a_8 : addr := shift a_5 (3%Z + i_6 + i_9) in let a_9 : addr := shift a_5 (i_6 + i_9) in let a_10 : addr := shift a_5 i_9 in ¬ i_7 = 0%Z -> ¬ Mk_addr 0%Z 0%Z = a_5 -> 0%Z ≤ i_7 -> i_9 ≤ i_7 -> i_10 ≤ i_7 -> 0%Z ≤ i_10 -> x ≤ i_7 -> region (base a) ≤ 0%Z -> region (base a_3) ≤ 0%Z -> region (base a_4) ≤ 0%Z -> region (base a_5) ≤ 0%Z -> 2%Z ≤ i_9 -> - 2147483648%Z ≤ x -> x ≤ 2147483647%Z -> i_7 ≤ 2147483647%Z + i_9 -> i_9 ≤ 2147483648%Z + i_7 -> framed t_3 -> linked t_1 -> is_uint16 i_1 -> is_uint16 i_6 -> is_uint16 i_7 -> is_uint16 i_8 -> is_uint16 i_9 -> is_uint16 i_10 -> is_uint16 i_11 -> is_uint16 i_12 -> is_uint16 i_13 -> is_uint16 i_14 -> is_sint32 i -> is_sint32 i_2 -> is_sint32 i_3 -> is_sint32 i_4 -> is_sint32 i_5 -> is_sint32 i_15 -> valid_rw t_1 a 1%Z -> valid_rw t_1 a_3 1%Z -> valid_rw t_1 a_4 15%Z -> (if decide (i_5 = 0%Z) then t_4 = t_3 ∧ 0%Z ≤ i_6 ∧ (if decide (Mk_addr 0%Z 0%Z = a_1) then i_2 = - 8139%Z else t_5 = t_4 ∧ i_15 ≤ 0%Z ∧ valid_rw t_1 (shift a 0%Z) 29%Z ∧ (if decide (i_15 = 0%Z) then to_uint16 (i_10 - i_6) = i_11 ∧ i_6 ≤ 2147483648%Z + i_10 ∧ i_10 ≤ 2147483647%Z + i_6 ∧ (if decide (i_4 = 0%Z) then if decide (i_1 = 3%Z) then valid_rd t_1 a_6 1%Z ∧ (if decide (t_2 a_6 = 0%Z) then i_2 = - 8189%Z else to_uint16 (i_11 - 3%Z) = i_12 ∧ (if decide (i_3 = 0%Z) then to_uint16 (i_12 - i_8) = i_13 ∧ i_8 ≤ 2147483648%Z + i_12 ∧ i_12 ≤ x_2 ∧ (if decide (i_14 = i_13) then valid_rd t_1 a_7 1%Z ∧ (if decide (i = 0%Z) then i_2 = 0%Z ∧ valid_rw t a_2 1%Z else i_2 = i) else i_2 = - 8221%Z) else i_3 = i_2) ∧ (i_12 = 0%Z -> i_3 < 0%Z) ∧ (i_3 = 0%Z -> i_14 ≤ i_12) ∧ (i_3 = 0%Z -> x_3 ≤ i_12) ∧ (i_3 = 0%Z -> i_8 ≤ i_12 ∧ 2%Z ≤ i_8) ∧ (a_8 = Mk_addr 0%Z 0%Z -> i_3 < 0%Z) ∧ (¬ a_8 = Mk_addr 0%Z 0%Z -> 0%Z < i_12 -> valid_rd t_1 a_8 i_12) ∧ (i_3 = 0%Z ∨ i_3 < 0%Z)) else i_2 = - 8189%Z else i_12 = i_11 ∧ (if decide (i_3 = 0%Z) then to_uint16 (i_11 - i_8) = i_13 ∧ i_8 ≤ 2147483648%Z + i_11 ∧ i_11 ≤ x_2 ∧ (if decide (i_14 = i_13) then valid_rd t_1 a_7 1%Z ∧ (if decide (i = 0%Z) then i_2 = 0%Z ∧ valid_rw t a_2 1%Z else i_2 = i) else i_2 = - 8221%Z) else i_3 = i_2) ∧ (i_11 = 0%Z -> i_3 < 0%Z) ∧ (i_3 = 0%Z -> i_14 ≤ i_11) ∧ (i_3 = 0%Z -> x_3 ≤ i_11) ∧ (i_3 = 0%Z -> i_8 ≤ i_11 ∧ 2%Z ≤ i_8) ∧ (a_9 = Mk_addr 0%Z 0%Z -> i_3 < 0%Z) ∧ (i_3 = 0%Z ∨ i_3 < 0%Z)) ∧ (i_11 = 0%Z -> i_4 < 0%Z) ∧ (i_4 = 0%Z -> i_1 ≤ i_11) ∧ (a_9 = Mk_addr 0%Z 0%Z -> i_4 < 0%Z) ∧ (¬ a_9 = Mk_addr 0%Z 0%Z -> 0%Z < i_11 -> valid_rd t_1 a_9 i_11) ∧ (i_4 = 0%Z ∨ i_4 < 0%Z) else i_15 = i_2)) ∧ (i_6 = 0%Z -> Mk_addr 0%Z 0%Z = a_1) ∧ (a_10 = Mk_addr 0%Z 0%Z -> Mk_addr 0%Z 0%Z = a_1) ∧ (¬ a_10 = Mk_addr 0%Z 0%Z -> 0%Z < i_6 -> valid_rd t_1 a_10 i_6) ∧ (¬ Mk_addr 0%Z 0%Z = a_1 -> (∃(i_16 : Z), shift___anonstruct__ext_oid_14 (Mk_addr (- 4284%Z) 0%Z) i_16 = a_1 ∧ 0%Z ≤ i_16 ∧ i_16 ≤ 28%Z)) else i_5 = i_2) -> (i_10 = 0%Z -> i_5 < 0%Z) -> (a_10 = Mk_addr 0%Z 0%Z -> i_5 < 0%Z) -> (i_5 = 0%Z -> i_6 ≤ i_10 ∧ 3%Z ≤ i_6) -> (0%Z < i_7 -> valid_rd t_1 (shift a_5 0%Z) i_7) -> (¬ a_10 = Mk_addr 0%Z 0%Z -> 0%Z < i_10 -> valid_rd t_1 a_10 i_10) -> i_5 = 0%Z ∨ i_5 < 0%Z -> i_2 ≤ 0%Z.
Admitted.
