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.
Open Scope Z_scope.
Lemma goal0 (a_1 : addr) (a : addr) (i_31 : Z) (i_32 : Z) (i_15 : Z) (i_30 : Z) (t : Z -> Z) (i_7 : Z) (i_13 : Z) (i_14 : Z) (i_16 : Z) (i_17 : Z) (i_19 : Z) (i_25 : Z) (i_26 : Z) (i_28 : Z) (i_29 : Z) (i : Z) (i_1 : Z) (i_6 : Z) (i_18 : Z) (i_27 : Z) (i_8 : Z) (i_9 : Z) (i_10 : Z) (i_11 : Z) (i_12 : Z) (i_20 : Z) (i_21 : Z) (i_22 : Z) (i_23 : Z) (i_24 : Z) (i_2 : Z) (i_3 : Z) (i_4 : Z) (i_5 : Z) (i_33 : Z) (i_34 : Z) : let x : Z := base a_1 in let x_1 : Z := base a in let x_2 : Z := i_31 + i_32 in let a_2 : addr := shift a_1 (i_15 + i_31) in let a_3 : addr := shift a_1 i_31 in ¬ i_30 = 0%Z -> ¬ Mk_addr 0%Z 0%Z = a_1 -> ¬ x = x_1 -> 0%Z ≤ i_30 -> region x_1 ≤ 0%Z -> region x ≤ 0%Z -> linked t -> is_uint8 i_7 -> is_uint8 i_13 -> is_uint8 i_14 -> is_uint8 i_16 -> is_uint8 i_17 -> is_uint8 i_19 -> is_uint8 i_25 -> is_uint8 i_26 -> is_uint8 i_28 -> is_uint8 i_29 -> is_uint16 i -> is_uint16 i_1 -> is_uint16 i_6 -> is_uint16 i_15 -> is_uint16 i_18 -> is_uint16 i_27 -> is_uint16 i_30 -> is_uint16 i_31 -> is_uint16 i_32 -> is_uint32 i_8 -> is_uint32 i_9 -> is_uint32 i_10 -> is_uint32 i_11 -> is_uint32 i_12 -> is_uint32 i_20 -> is_uint32 i_21 -> is_uint32 i_22 -> is_uint32 i_23 -> is_uint32 i_24 -> is_sint32 i_2 -> is_sint32 i_3 -> is_sint32 i_4 -> is_sint32 i_5 -> is_sint32 i_33 -> is_sint32 i_34 -> valid_rw t a 1%Z -> (if decide (i_3 = 0%Z) then 0%Z ≤ i_32 ∧ (if decide (i_4 = 0%Z) then (if decide (i_33 = 0%Z) then to_uint16 (i_32 - i_15) = i ∧ i_15 ≤ 2147483648%Z + i_32 ∧ i_32 ≤ 2147483647%Z + i_15 ∧ (if decide (i_5 = 0%Z) then (if decide (i_34 = 0%Z) then to_uint16 (i - i_27) = i_1 ∧ i ≤ 2147483647%Z + i_27 ∧ i_27 ≤ 2147483648%Z + i ∧ (if decide (i_1 = 0%Z) then if decide (i_18 < i_6) then i_2 = - 4262%Z else if decide (i_18 = i_6) then to_uint32 (2678400%Z * i_13) = i_8 ∧ to_uint32 (2678400%Z * i_25) = i_20 ∧ to_uint32 (i_7 + i_11) = i_12 ∧ to_uint32 (i_19 + i_23) = i_24 ∧ to_uint32 (i_8 + to_uint32 (86400%Z * i_17)) = i_9 ∧ to_uint32 (i_9 + to_uint32 (3600%Z * i_16)) = i_10 ∧ to_uint32 (i_10 + to_uint32 (60%Z * i_14)) = i_11 ∧ to_uint32 (i_20 + to_uint32 (86400%Z * i_29)) = i_21 ∧ to_uint32 (i_21 + to_uint32 (3600%Z * i_28)) = i_22 ∧ to_uint32 (i_22 + to_uint32 (60%Z * i_26)) = i_23 ∧ - 35791394%Z ≤ i_14 ∧ - 35791394%Z ≤ i_26 ∧ - 596523%Z ≤ i_16 ∧ - 596523%Z ≤ i_28 ∧ - 24855%Z ≤ i_17 ∧ - 24855%Z ≤ i_29 ∧ - 801%Z ≤ i_13 ∧ - 801%Z ≤ i_25 ∧ i_13 ≤ 801%Z ∧ i_25 ≤ 801%Z ∧ i_17 ≤ 24855%Z ∧ i_29 ≤ 24855%Z ∧ i_16 ≤ 596523%Z ∧ i_28 ≤ 596523%Z ∧ i_14 ≤ 35791394%Z ∧ i_26 ≤ 35791394%Z ∧ (if decide (i_24 ≤ i_12) then i_2 = - 4288%Z else i_2 = 0%Z ∧ - 2147483648%Z ≤ x_2 ∧ x_2 ≤ 2147483647%Z) else i_2 = 0%Z ∧ - 2147483648%Z ≤ x_2 ∧ x_2 ≤ 2147483647%Z else i_2 = - 4255%Z) else i_34 = i_2) ∧ (i_34 = 0%Z ∨ i_34 < 0%Z) else i_5 = i_2) ∧ (i = 0%Z -> i_5 < 0%Z) ∧ (i_5 = 0%Z -> i_27 ≤ i) ∧ (a_2 = Mk_addr 0%Z 0%Z -> i_5 < 0%Z) ∧ (¬ a_2 = Mk_addr 0%Z 0%Z -> 0%Z < i -> valid_rd t a_2 i) ∧ (i_5 = 0%Z ∨ i_5 < 0%Z) else i_33 = i_2) ∧ (i_33 = 0%Z ∨ i_33 < 0%Z) else i_4 = i_2) ∧ (i_32 = 0%Z -> i_4 < 0%Z) ∧ (i_4 = 0%Z -> i_15 ≤ i_32) ∧ (a_3 = Mk_addr 0%Z 0%Z -> i_4 < 0%Z) ∧ (¬ a_3 = Mk_addr 0%Z 0%Z -> 0%Z < i_32 -> valid_rd t a_3 i_32) ∧ (i_4 = 0%Z ∨ i_4 < 0%Z) else i_3 = i_2) -> (i_3 = 0%Z -> i_32 ≤ i_30) -> (i_3 = 0%Z -> x_2 ≤ i_30) -> (i_3 = 0%Z -> i_31 ≤ i_30 ∧ 2%Z ≤ i_31) -> (0%Z < i_30 -> valid_rd t (shift a_1 0%Z) i_30) -> i_3 = 0%Z ∨ i_3 < 0%Z -> i_2 = 0%Z ∨ i_2 < 0%Z.
Admitted.
