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Why3
why3
Commits
a869eaa9
Commit
a869eaa9
authored
Feb 15, 2014
by
MARCHE Claude
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Plain Diff
Fixed Coq proofs using realized MapInjection
parent
cf996aca
Changes
4
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4 changed files
with
72 additions
and
101 deletions
+72
-101
examples/vacid_0_sparse_array/vacid_0_sparse_array_2_SparseArray_permutation_1.v
..._array/vacid_0_sparse_array_2_SparseArray_permutation_1.v
+4
-21
examples/vacid_0_sparse_array/why3session.xml
examples/vacid_0_sparse_array/why3session.xml
+7
-7
examples/vstte10_inverting/vstte10_inverting_WP_InvertingAnInjection_WP_parameter_inverting_1.v
...erting_WP_InvertingAnInjection_WP_parameter_inverting_1.v
+28
-40
examples/vstte10_inverting/why3session.xml
examples/vstte10_inverting/why3session.xml
+33
-33
No files found.
examples/vacid_0_sparse_array/vacid_0_sparse_array_2_SparseArray_permutation_1.v
View file @
a869eaa9
...
...
@@ -4,6 +4,7 @@ Require Import BuiltIn.
Require
BuiltIn
.
Require
int
.
Int
.
Require
map
.
Map
.
Require
map
.
MapInjection
.
(
*
Why3
assumption
*
)
Definition
unit
:=
unit
.
...
...
@@ -99,24 +100,6 @@ Axiom value_def : forall {a:Type} {a_WT:WhyType a}, forall (a1:(@sparse_array
Definition
length1
{
a
:
Type
}
{
a_WT
:
WhyType
a
}
(
a1
:
(
@
sparse_array
a
a_WT
))
:
Z
:=
(
length
(
values
a1
)).
(
*
Why3
assumption
*
)
Definition
injective
(
a
:
(
@
map
.
Map
.
map
Z
_
Z
_
))
(
n
:
Z
)
:
Prop
:=
forall
(
i
:
Z
)
(
j
:
Z
),
((
0
%
Z
<=
i
)
%
Z
/
\
(
i
<
n
)
%
Z
)
->
(((
0
%
Z
<=
j
)
%
Z
/
\
(
j
<
n
)
%
Z
)
->
((
~
(
i
=
j
))
->
~
((
map
.
Map
.
get
a
i
)
=
(
map
.
Map
.
get
a
j
)))).
(
*
Why3
assumption
*
)
Definition
surjective
(
a
:
(
@
map
.
Map
.
map
Z
_
Z
_
))
(
n
:
Z
)
:
Prop
:=
forall
(
i
:
Z
),
((
0
%
Z
<=
i
)
%
Z
/
\
(
i
<
n
)
%
Z
)
->
exists
j
:
Z
,
((
0
%
Z
<=
j
)
%
Z
/
\
(
j
<
n
)
%
Z
)
/
\
((
map
.
Map
.
get
a
j
)
=
i
).
(
*
Why3
assumption
*
)
Definition
range
(
a
:
(
@
map
.
Map
.
map
Z
_
Z
_
))
(
n
:
Z
)
:
Prop
:=
forall
(
i
:
Z
),
((
0
%
Z
<=
i
)
%
Z
/
\
(
i
<
n
)
%
Z
)
->
((
0
%
Z
<=
(
map
.
Map
.
get
a
i
))
%
Z
/
\
((
map
.
Map
.
get
a
i
)
<
n
)
%
Z
).
Axiom
injective_surjective
:
forall
(
a
:
(
@
map
.
Map
.
map
Z
_
Z
_
))
(
n
:
Z
),
(
injective
a
n
)
->
((
range
a
n
)
->
(
surjective
a
n
)).
Require
Import
Why3
.
Ltac
ae
:=
why3
"alt-ergo"
.
...
...
@@ -138,9 +121,9 @@ unfold is_elt, length1, get; simpl.
intro
H
;
decompose
[
and
]
H
;
clear
H
.
subst
n1
n2
.
intros
.
subst
a_card
.
assert
(
inj
:
injective
a_back
n0
)
by
ae
.
assert
(
rng
:
range
a_back
n0
)
by
ae
.
generalize
(
injective_surjective
a_back
n0
inj
rng
);
intro
surj
.
assert
(
inj
:
MapInjection
.
injective
a_back
n0
)
by
ae
.
assert
(
rng
:
MapInjection
.
range
a_back
n0
)
by
ae
.
generalize
(
MapInjection
.
injective_surjective
a_back
n0
inj
rng
);
intro
surj
.
destruct
(
surj
i
H1
)
as
(
j
,
(
hj1
,
hj2
)).
ae
.
Qed
.
...
...
examples/vacid_0_sparse_array/why3session.xml
View file @
a869eaa9
...
...
@@ -106,7 +106,7 @@
edited=
"vacid_0_sparse_array_2_SparseArray_permutation_1.v"
obsolete=
"false"
archived=
"false"
>
<result
status=
"valid"
time=
"1.2
2
"
/>
<result
status=
"valid"
time=
"1.2
4
"
/>
</proof>
</goal>
<goal
...
...
@@ -128,11 +128,11 @@
name=
"WP_parameter set.1"
locfile=
"../vacid_0_sparse_array.mlw"
loclnum=
"96"
loccnumb=
"6"
loccnume=
"9"
expl=
"1.
precondition
"
expl=
"1.
index in array bounds
"
sum=
"88db21b5a3cc7ee52c64849f80745892"
proved=
"true"
expanded=
"false"
shape=
"
precondition
ainfix <V8V0Aainfix <=c0V8Iainfix <V8V0Aainfix <=c0V8Aainfix <=c0V4Aainfix <=c0V2Aainfix <=c0V0Aainfix =agetV3agetV5V11V11Aainfix <agetV5V11V0Aainfix <=c0agetV5V11Iainfix <V11V6Aainfix <=c0V11FAainfix =V2V4Aainfix =V0V2Aainfix <=V0amaxlenAainfix <=V6V0Aainfix <=c0V6Lamk sparse_arrayamk arrayV0V1amk arrayV2V3amk arrayV4V5V6V7F"
>
shape=
"
index in array bounds
ainfix <V8V0Aainfix <=c0V8Iainfix <V8V0Aainfix <=c0V8Aainfix <=c0V4Aainfix <=c0V2Aainfix <=c0V0Aainfix =agetV3agetV5V11V11Aainfix <agetV5V11V0Aainfix <=c0agetV5V11Iainfix <V11V6Aainfix <=c0V11FAainfix =V2V4Aainfix =V0V2Aainfix <=V0amaxlenAainfix <=V6V0Aainfix <=c0V6Lamk sparse_arrayamk arrayV0V1amk arrayV2V3amk arrayV4V5V6V7F"
>
<label
name=
"expl:VC for set"
/>
<proof
...
...
@@ -244,11 +244,11 @@
name=
"WP_parameter set.6"
locfile=
"../vacid_0_sparse_array.mlw"
loclnum=
"96"
loccnumb=
"6"
loccnume=
"9"
expl=
"6.
precondition
"
expl=
"6.
index in array bounds
"
sum=
"7e779574092aeeba5588cc2cceb39bb5"
proved=
"true"
expanded=
"false"
shape=
"
precondition
ainfix <V8V2Aainfix <=c0V8Iainfix <V6V0INainfix =V13aTrueIais_eltV12V8qainfix =V13aTrueFIainfix <V8V0Aainfix <=c0V8Aainfix <=c0V0Aainfix =agetV3agetV5V14V14Aainfix <agetV5V14V0Aainfix <=c0agetV5V14Iainfix <V14V6Aainfix <=c0V14FAainfix =V2V4Aainfix =V0V2Aainfix <=V0amaxlenAainfix <=V6V0Aainfix <=c0V6Iainfix =V11asetV1V8V9Aainfix <=c0V0Lamk sparse_arrayamk arrayV0V11amk arrayV2V3amk arrayV4V5V6V7FIainfix <V8V0Aainfix <=c0V8Iainfix <V8V0Aainfix <=c0V8Aainfix <=c0V4Aainfix <=c0V2Aainfix <=c0V0Aainfix =agetV3agetV5V15V15Aainfix <agetV5V15V0Aainfix <=c0agetV5V15Iainfix <V15V6Aainfix <=c0V15FAainfix =V2V4Aainfix =V0V2Aainfix <=V0amaxlenAainfix <=V6V0Aainfix <=c0V6Lamk sparse_arrayamk arrayV0V1amk arrayV2V3amk arrayV4V5V6V7F"
>
shape=
"
index in array bounds
ainfix <V8V2Aainfix <=c0V8Iainfix <V6V0INainfix =V13aTrueIais_eltV12V8qainfix =V13aTrueFIainfix <V8V0Aainfix <=c0V8Aainfix <=c0V0Aainfix =agetV3agetV5V14V14Aainfix <agetV5V14V0Aainfix <=c0agetV5V14Iainfix <V14V6Aainfix <=c0V14FAainfix =V2V4Aainfix =V0V2Aainfix <=V0amaxlenAainfix <=V6V0Aainfix <=c0V6Iainfix =V11asetV1V8V9Aainfix <=c0V0Lamk sparse_arrayamk arrayV0V11amk arrayV2V3amk arrayV4V5V6V7FIainfix <V8V0Aainfix <=c0V8Iainfix <V8V0Aainfix <=c0V8Aainfix <=c0V4Aainfix <=c0V2Aainfix <=c0V0Aainfix =agetV3agetV5V15V15Aainfix <agetV5V15V0Aainfix <=c0agetV5V15Iainfix <V15V6Aainfix <=c0V15FAainfix =V2V4Aainfix =V0V2Aainfix <=V0amaxlenAainfix <=V6V0Aainfix <=c0V6Lamk sparse_arrayamk arrayV0V1amk arrayV2V3amk arrayV4V5V6V7F"
>
<label
name=
"expl:VC for set"
/>
<proof
...
...
@@ -264,11 +264,11 @@
name=
"WP_parameter set.7"
locfile=
"../vacid_0_sparse_array.mlw"
loclnum=
"96"
loccnumb=
"6"
loccnume=
"9"
expl=
"7.
precondition
"
expl=
"7.
index in array bounds
"
sum=
"03a900ddb7ac18d46efbf1d31a08a243"
proved=
"true"
expanded=
"false"
shape=
"
precondition
ainfix <V6V4Aainfix <=c0V6Iainfix =V14asetV3V8V6Aainfix <=c0V2FIainfix <V8V2Aainfix <=c0V8Iainfix <V6V0INainfix =V13aTrueIais_eltV12V8qainfix =V13aTrueFIainfix <V8V0Aainfix <=c0V8Aainfix <=c0V0Aainfix =agetV3agetV5V15V15Aainfix <agetV5V15V0Aainfix <=c0agetV5V15Iainfix <V15V6Aainfix <=c0V15FAainfix =V2V4Aainfix =V0V2Aainfix <=V0amaxlenAainfix <=V6V0Aainfix <=c0V6Iainfix =V11asetV1V8V9Aainfix <=c0V0Lamk sparse_arrayamk arrayV0V11amk arrayV2V3amk arrayV4V5V6V7FIainfix <V8V0Aainfix <=c0V8Iainfix <V8V0Aainfix <=c0V8Aainfix <=c0V4Aainfix <=c0V2Aainfix <=c0V0Aainfix =agetV3agetV5V16V16Aainfix <agetV5V16V0Aainfix <=c0agetV5V16Iainfix <V16V6Aainfix <=c0V16FAainfix =V2V4Aainfix =V0V2Aainfix <=V0amaxlenAainfix <=V6V0Aainfix <=c0V6Lamk sparse_arrayamk arrayV0V1amk arrayV2V3amk arrayV4V5V6V7F"
>
shape=
"
index in array bounds
ainfix <V6V4Aainfix <=c0V6Iainfix =V14asetV3V8V6Aainfix <=c0V2FIainfix <V8V2Aainfix <=c0V8Iainfix <V6V0INainfix =V13aTrueIais_eltV12V8qainfix =V13aTrueFIainfix <V8V0Aainfix <=c0V8Aainfix <=c0V0Aainfix =agetV3agetV5V15V15Aainfix <agetV5V15V0Aainfix <=c0agetV5V15Iainfix <V15V6Aainfix <=c0V15FAainfix =V2V4Aainfix =V0V2Aainfix <=V0amaxlenAainfix <=V6V0Aainfix <=c0V6Iainfix =V11asetV1V8V9Aainfix <=c0V0Lamk sparse_arrayamk arrayV0V11amk arrayV2V3amk arrayV4V5V6V7FIainfix <V8V0Aainfix <=c0V8Iainfix <V8V0Aainfix <=c0V8Aainfix <=c0V4Aainfix <=c0V2Aainfix <=c0V0Aainfix =agetV3agetV5V16V16Aainfix <agetV5V16V0Aainfix <=c0agetV5V16Iainfix <V16V6Aainfix <=c0V16FAainfix =V2V4Aainfix =V0V2Aainfix <=V0amaxlenAainfix <=V6V0Aainfix <=c0V6Lamk sparse_arrayamk arrayV0V1amk arrayV2V3amk arrayV4V5V6V7F"
>
<label
name=
"expl:VC for set"
/>
<proof
...
...
examples/vstte10_inverting/vstte10_inverting_WP_InvertingAnInjection_WP_parameter_inverting_1.v
View file @
a869eaa9
(
*
This
file
is
generated
by
Why3
'
s
Coq
driver
*
)
(
*
This
file
is
generated
by
Why3
'
s
Coq
8.4
driver
*
)
(
*
Beware
!
Only
edit
allowed
sections
below
*
)
Require
Import
BuiltIn
.
Require
BuiltIn
.
Require
int
.
Int
.
Require
map
.
Map
.
Require
map
.
MapInjection
.
(
*
Why3
assumption
*
)
Definition
unit
:=
unit
.
...
...
@@ -11,75 +12,63 @@ Definition unit := unit.
(
*
Why3
assumption
*
)
Inductive
array
(
a
:
Type
)
{
a_WT
:
WhyType
a
}
:=
|
mk_array
:
Z
->
(
map
.
Map
.
map
Z
a
)
->
array
a
.
|
mk_array
:
Z
->
(
@
map
.
Map
.
map
Z
_
a
a_WT
)
->
array
a
.
Axiom
array_WhyType
:
forall
(
a
:
Type
)
{
a_WT
:
WhyType
a
}
,
WhyType
(
array
a
).
Existing
Instance
array_WhyType
.
Implicit
Arguments
mk_array
[[
a
]
[
a_WT
]].
(
*
Why3
assumption
*
)
Definition
elts
{
a
:
Type
}
{
a_WT
:
WhyType
a
}
(
v
:
(
array
a
))
:
(
map
.
Map
.
map
Z
a
)
:=
match
v
with
Definition
elts
{
a
:
Type
}
{
a_WT
:
WhyType
a
}
(
v
:
(
@
array
a
a_WT
))
:
(
@
map
.
Map
.
map
Z
_
a
a_WT
)
:=
match
v
with
|
(
mk_array
x
x1
)
=>
x1
end
.
(
*
Why3
assumption
*
)
Definition
length
{
a
:
Type
}
{
a_WT
:
WhyType
a
}
(
v
:
(
array
a
))
:
Z
:=
Definition
length
{
a
:
Type
}
{
a_WT
:
WhyType
a
}
(
v
:
(
@
array
a
a_WT
))
:
Z
:=
match
v
with
|
(
mk_array
x
x1
)
=>
x
end
.
(
*
Why3
assumption
*
)
Definition
get
{
a
:
Type
}
{
a_WT
:
WhyType
a
}
(
a1
:
(
array
a
))
(
i
:
Z
)
:
a
:=
Definition
get
{
a
:
Type
}
{
a_WT
:
WhyType
a
}
(
a1
:
(
@
array
a
a_WT
))
(
i
:
Z
)
:
a
:=
(
map
.
Map
.
get
(
elts
a1
)
i
).
(
*
Why3
assumption
*
)
Definition
set
{
a
:
Type
}
{
a_WT
:
WhyType
a
}
(
a1
:
(
array
a
))
(
i
:
Z
)
(
v
:
a
)
:
(
array
a
)
:=
(
mk_array
(
length
a1
)
(
map
.
Map
.
set
(
elts
a1
)
i
v
)).
Definition
set
{
a
:
Type
}
{
a_WT
:
WhyType
a
}
(
a1
:
(
@
array
a
a_WT
))
(
i
:
Z
)
(
v
:
a
)
:
(
@
array
a
a_WT
)
:=
(
mk_array
(
length
a1
)
(
map
.
Map
.
set
(
elts
a1
)
i
v
)).
(
*
Why3
assumption
*
)
Definition
make
{
a
:
Type
}
{
a_WT
:
WhyType
a
}
(
n
:
Z
)
(
v
:
a
)
:
(
array
a
)
:=
(
mk_array
n
(
map
.
Map
.
const
v
:
(
map
.
Map
.
map
Z
a
))).
Definition
make
{
a
:
Type
}
{
a_WT
:
WhyType
a
}
(
n
:
Z
)
(
v
:
a
)
:
(
@
array
a
a_WT
)
:=
(
mk_array
n
(
map
.
Map
.
const
v
:
(
@
map
.
Map
.
map
Z
_
a
a_WT
))).
(
*
Why3
assumption
*
)
Definition
injective
(
a
:
(
map
.
Map
.
map
Z
Z
))
(
n
:
Z
)
:
Prop
:=
forall
(
i
:
Z
)
(
j
:
Z
),
((
0
%
Z
<=
i
)
%
Z
/
\
(
i
<
n
)
%
Z
)
->
(((
0
%
Z
<=
j
)
%
Z
/
\
(
j
<
n
)
%
Z
)
->
((
~
(
i
=
j
))
->
~
((
map
.
Map
.
get
a
i
)
=
(
map
.
Map
.
get
a
j
)))).
Definition
injective
(
a
:
(
@
array
Z
_
))
(
n
:
Z
)
:
Prop
:=
(
map
.
MapInjection
.
injective
(
elts
a
)
n
).
(
*
Why3
assumption
*
)
Definition
surjective
(
a
:
(
map
.
Map
.
map
Z
Z
))
(
n
:
Z
)
:
Prop
:=
forall
(
i
:
Z
),
((
0
%
Z
<=
i
)
%
Z
/
\
(
i
<
n
)
%
Z
)
->
exists
j
:
Z
,
((
0
%
Z
<=
j
)
%
Z
/
\
(
j
<
n
)
%
Z
)
/
\
((
map
.
Map
.
get
a
j
)
=
i
).
Definition
surjective
(
a
:
(
@
array
Z
_
))
(
n
:
Z
)
:
Prop
:=
(
map
.
MapInjection
.
surjective
(
elts
a
)
n
).
(
*
Why3
assumption
*
)
Definition
range
(
a
:
(
map
.
Map
.
map
Z
Z
))
(
n
:
Z
)
:
Prop
:=
forall
(
i
:
Z
),
((
0
%
Z
<=
i
)
%
Z
/
\
(
i
<
n
)
%
Z
)
->
((
0
%
Z
<=
(
map
.
Map
.
get
a
i
))
%
Z
/
\
((
map
.
Map
.
get
a
i
)
<
n
)
%
Z
).
Axiom
injective_surjective
:
forall
(
a
:
(
map
.
Map
.
map
Z
Z
))
(
n
:
Z
),
(
injective
a
n
)
->
((
range
a
n
)
->
(
surjective
a
n
)).
(
*
Why3
assumption
*
)
Definition
injective1
(
a
:
(
array
Z
))
(
n
:
Z
)
:
Prop
:=
(
injective
(
elts
a
)
n
).
(
*
Why3
assumption
*
)
Definition
surjective1
(
a
:
(
array
Z
))
(
n
:
Z
)
:
Prop
:=
(
surjective
(
elts
a
)
n
).
(
*
Why3
assumption
*
)
Definition
range1
(
a
:
(
array
Z
))
(
n
:
Z
)
:
Prop
:=
(
range
(
elts
a
)
n
).
Definition
range
(
a
:
(
@
array
Z
_
))
(
n
:
Z
)
:
Prop
:=
(
map
.
MapInjection
.
range
(
elts
a
)
n
).
(
*
Why3
goal
*
)
Theorem
WP_parameter_inverting
:
forall
(
a
:
Z
)
(
b
:
Z
)
(
n
:
Z
),
forall
(
a1
:
(
map
.
Map
.
map
Z
Z
)),
(((
0
%
Z
<=
a
)
%
Z
/
\
(
0
%
Z
<=
b
)
%
Z
)
/
\
(((
n
=
a
)
/
\
(
a
=
b
))
/
\
((
injective
a1
n
)
/
\
(
range
a1
n
))))
->
let
o
:=
(
n
-
1
%
Z
)
%
Z
in
((
0
%
Z
<=
o
)
%
Z
->
forall
(
b1
:
(
map
.
Map
.
map
Z
Z
)),
(
forall
(
j
:
Z
),
((
0
%
Z
<=
j
)
%
Z
/
\
(
j
<
(
o
+
1
%
Z
)
%
Z
)
%
Z
)
->
((
map
.
Map
.
get
b1
(
map
.
Map
.
get
a1
j
))
=
j
))
->
((
0
%
Z
<=
b
)
%
Z
->
(
injective
b1
n
))).
Theorem
WP_parameter_inverting
:
forall
(
a
:
Z
)
(
a1
:
(
@
map
.
Map
.
map
Z
_
Z
_
))
(
b
:
Z
)
(
n
:
Z
),
(((
0
%
Z
<=
a
)
%
Z
/
\
(
0
%
Z
<=
b
)
%
Z
)
/
\
(((
n
=
a
)
/
\
(
a
=
b
))
/
\
((
map
.
MapInjection
.
injective
a1
n
)
/
\
(
map
.
MapInjection
.
range
a1
n
))))
->
let
o
:=
(
n
-
1
%
Z
)
%
Z
in
((
0
%
Z
<=
o
)
%
Z
->
forall
(
b1
:
(
@
map
.
Map
.
map
Z
_
Z
_
)),
(
forall
(
j
:
Z
),
((
0
%
Z
<=
j
)
%
Z
/
\
(
j
<
(
o
+
1
%
Z
)
%
Z
)
%
Z
)
->
((
map
.
Map
.
get
b1
(
map
.
Map
.
get
a1
j
))
=
j
))
->
((
0
%
Z
<=
b
)
%
Z
->
(
map
.
MapInjection
.
injective
b1
n
))).
(
*
Why3
intros
a
a1
b
n
((
h1
,
h2
),((
h3
,
h4
),(
h5
,
h6
)))
o
h7
b1
h8
h9
.
*
)
intuition
.
intuition
.
red
;
intros
.
unfold
get
;
simpl
.
assert
(
surjective
a1
n
).
apply
injective_surjective
;
assumption
.
assert
(
MapInjection
.
surjective
a1
n
).
apply
MapInjection
.
injective_surjective
;
assumption
.
generalize
(
H11
i
H8
);
unfold
get
;
simpl
;
intros
(
i1
,
(
Hi1
,
Hi2
)).
generalize
(
H11
j
H9
);
unfold
get
;
simpl
;
intros
(
j1
,
(
Hj1
,
Hj2
)).
rewrite
<-
Hi2
.
...
...
@@ -92,4 +81,3 @@ subst.
auto
.
Qed
.
examples/vstte10_inverting/why3session.xml
View file @
a869eaa9
...
...
@@ -82,11 +82,11 @@
name=
"WP_parameter inverting.3"
locfile=
"../vstte10_inverting.mlw"
loclnum=
"21"
loccnumb=
"6"
loccnume=
"15"
expl=
"3.
precondition
"
expl=
"3.
index in array bounds
"
sum=
"d7f793ddd8deade51d85fc67451ffcfa"
proved=
"true"
expanded=
"true"
shape=
"
precondition
ainfix <V7V0Aainfix <=c0V7Iainfix =agetV6agetV1V8V8Iainfix <V8V7Aainfix <=c0V8FIainfix <=V7V5Aainfix <=c0V7FFIainfix <=c0V5Lainfix -V4c1IarangeV1V4AainjectiveV1V4Aainfix =V0V2Aainfix =V4V0Aainfix <=c0V2Aainfix <=c0V0F"
>
shape=
"
index in array bounds
ainfix <V7V0Aainfix <=c0V7Iainfix =agetV6agetV1V8V8Iainfix <V8V7Aainfix <=c0V8FIainfix <=V7V5Aainfix <=c0V7FFIainfix <=c0V5Lainfix -V4c1IarangeV1V4AainjectiveV1V4Aainfix =V0V2Aainfix =V4V0Aainfix <=c0V2Aainfix <=c0V0F"
>
<label
name=
"expl:VC for inverting"
/>
<proof
...
...
@@ -122,11 +122,11 @@
name=
"WP_parameter inverting.5"
locfile=
"../vstte10_inverting.mlw"
loclnum=
"21"
loccnumb=
"6"
loccnume=
"15"
expl=
"5.
precondition
"
expl=
"5.
index in array bounds
"
sum=
"bda90608f09a6f170951493617c0f396"
proved=
"true"
expanded=
"true"
shape=
"
precondition
ainfix <V8V2Aainfix <=c0V8Iainfix <=c0V2LagetV1V7Iainfix <V7V0Aainfix <=c0V7Iainfix =agetV6agetV1V9V9Iainfix <V9V7Aainfix <=c0V9FIainfix <=V7V5Aainfix <=c0V7FFIainfix <=c0V5Lainfix -V4c1IarangeV1V4AainjectiveV1V4Aainfix =V0V2Aainfix =V4V0Aainfix <=c0V2Aainfix <=c0V0F"
>
shape=
"
index in array bounds
ainfix <V8V2Aainfix <=c0V8Iainfix <=c0V2LagetV1V7Iainfix <V7V0Aainfix <=c0V7Iainfix =agetV6agetV1V9V9Iainfix <V9V7Aainfix <=c0V9FIainfix <=V7V5Aainfix <=c0V7FFIainfix <=c0V5Lainfix -V4c1IarangeV1V4AainjectiveV1V4Aainfix =V0V2Aainfix =V4V0Aainfix <=c0V2Aainfix <=c0V0F"
>
<label
name=
"expl:VC for inverting"
/>
<proof
...
...
@@ -196,7 +196,7 @@
edited=
"vstte10_inverting_WP_InvertingAnInjection_WP_parameter_inverting_1.v"
obsolete=
"false"
archived=
"false"
>
<result
status=
"valid"
time=
"
1.11
"
/>
<result
status=
"valid"
time=
"
0.94
"
/>
</proof>
</goal>
</transf>
...
...
@@ -220,11 +220,11 @@
name=
"WP_parameter inverting2.1"
locfile=
"../vstte10_inverting.mlw"
loclnum=
"31"
loccnumb=
"6"
loccnume=
"16"
expl=
"1.
precondition
"
expl=
"1.
array creation size
"
sum=
"e61b15ff3aecd95d66a53cd53191e475"
proved=
"true"
expanded=
"true"
shape=
"
precondition
ainfix >=V2c0IarangeV1V2AainjectiveV1V2Aainfix =V2V0Aainfix <=c0V0F"
>
shape=
"
array creation size
ainfix >=V2c0IarangeV1V2AainjectiveV1V2Aainfix =V2V0Aainfix <=c0V0F"
>
<label
name=
"expl:VC for inverting2"
/>
<proof
...
...
@@ -280,11 +280,11 @@
name=
"WP_parameter inverting2.4"
locfile=
"../vstte10_inverting.mlw"
loclnum=
"31"
loccnumb=
"6"
loccnume=
"16"
expl=
"4.
precondition
"
expl=
"4.
index in array bounds
"
sum=
"d83a7ef5a592bd8b8d06abf2a29d6731"
proved=
"true"
expanded=
"true"
shape=
"
precondition
ainfix <V5V0Aainfix <=c0V5Iainfix =agetV4agetV1V6V6Iainfix <V6V5Aainfix <=c0V6FIainfix <=V5V3Aainfix <=c0V5FFIainfix <=c0V3Lainfix -V2c1Iainfix <=c0V2Iainfix >=V2c0IarangeV1V2AainjectiveV1V2Aainfix =V2V0Aainfix <=c0V0F"
>
shape=
"
index in array bounds
ainfix <V5V0Aainfix <=c0V5Iainfix =agetV4agetV1V6V6Iainfix <V6V5Aainfix <=c0V6FIainfix <=V5V3Aainfix <=c0V5FFIainfix <=c0V3Lainfix -V2c1Iainfix <=c0V2Iainfix >=V2c0IarangeV1V2AainjectiveV1V2Aainfix =V2V0Aainfix <=c0V0F"
>
<label
name=
"expl:VC for inverting2"
/>
<proof
...
...
@@ -320,11 +320,11 @@
name=
"WP_parameter inverting2.6"
locfile=
"../vstte10_inverting.mlw"
loclnum=
"31"
loccnumb=
"6"
loccnume=
"16"
expl=
"6.
precondition
"
expl=
"6.
index in array bounds
"
sum=
"11696eb096a2c34f4388fc014d79e25f"
proved=
"true"
expanded=
"true"
shape=
"
precondition
ainfix <V6V2Aainfix <=c0V6Iainfix <=c0V2LagetV1V5Iainfix <V5V0Aainfix <=c0V5Iainfix =agetV4agetV1V7V7Iainfix <V7V5Aainfix <=c0V7FIainfix <=V5V3Aainfix <=c0V5FFIainfix <=c0V3Lainfix -V2c1Iainfix <=c0V2Iainfix >=V2c0IarangeV1V2AainjectiveV1V2Aainfix =V2V0Aainfix <=c0V0F"
>
shape=
"
index in array bounds
ainfix <V6V2Aainfix <=c0V6Iainfix <=c0V2LagetV1V5Iainfix <V5V0Aainfix <=c0V5Iainfix =agetV4agetV1V7V7Iainfix <V7V5Aainfix <=c0V7FIainfix <=V5V3Aainfix <=c0V5FFIainfix <=c0V3Lainfix -V2c1Iainfix <=c0V2Iainfix >=V2c0IarangeV1V2AainjectiveV1V2Aainfix =V2V0Aainfix <=c0V0F"
>
<label
name=
"expl:VC for inverting2"
/>
<proof
...
...
@@ -462,11 +462,11 @@
name=
"WP_parameter test.1"
locfile=
"../vstte10_inverting.mlw"
loclnum=
"49"
loccnumb=
"6"
loccnume=
"10"
expl=
"1.
precondition
"
expl=
"1.
array creation size
"
sum=
"8211d095aad8a981bfe5a0191a954e9a"
proved=
"true"
expanded=
"true"
shape=
"
precondition
ainfix >=c10c0"
>
shape=
"
array creation size
ainfix >=c10c0"
>
<label
name=
"expl:VC for test"
/>
<proof
...
...
@@ -482,11 +482,11 @@
name=
"WP_parameter test.2"
locfile=
"../vstte10_inverting.mlw"
loclnum=
"49"
loccnumb=
"6"
loccnume=
"10"
expl=
"2.
precondition
"
expl=
"2.
index in array bounds
"
sum=
"d27ec191905e166c9832927e8e222877"
proved=
"true"
expanded=
"true"
shape=
"
precondition
ainfix <c0c10Aainfix <=c0c0Iainfix <=c0c10Iainfix >=c10c0"
>
shape=
"
index in array bounds
ainfix <c0c10Aainfix <=c0c0Iainfix <=c0c10Iainfix >=c10c0"
>
<label
name=
"expl:VC for test"
/>
<proof
...
...
@@ -502,11 +502,11 @@
name=
"WP_parameter test.3"
locfile=
"../vstte10_inverting.mlw"
loclnum=
"49"
loccnumb=
"6"
loccnume=
"10"
expl=
"3.
precondition
"
expl=
"3.
index in array bounds
"
sum=
"86ab5de80328174ae53e7f0cd506b42a"
proved=
"true"
expanded=
"true"
shape=
"
precondition
ainfix <c1c10Aainfix <=c0c1Iainfix =V0asetaconstc0c0c9Aainfix <=c0c10FIainfix <c0c10Aainfix <=c0c0Iainfix <=c0c10Iainfix >=c10c0"
>
shape=
"
index in array bounds
ainfix <c1c10Aainfix <=c0c1Iainfix =V0asetaconstc0c0c9Aainfix <=c0c10FIainfix <c0c10Aainfix <=c0c0Iainfix <=c0c10Iainfix >=c10c0"
>
<label
name=
"expl:VC for test"
/>
<proof
...
...
@@ -522,11 +522,11 @@
name=
"WP_parameter test.4"
locfile=
"../vstte10_inverting.mlw"
loclnum=
"49"
loccnumb=
"6"
loccnume=
"10"
expl=
"4.
precondition
"
expl=
"4.
index in array bounds
"
sum=
"98cddf49ee9f070aa8e24a0319c394a7"
proved=
"true"
expanded=
"true"
shape=
"
precondition
ainfix <c2c10Aainfix <=c0c2Iainfix =V1asetV0c1c3Aainfix <=c0c10FIainfix <c1c10Aainfix <=c0c1Iainfix =V0asetaconstc0c0c9Aainfix <=c0c10FIainfix <c0c10Aainfix <=c0c0Iainfix <=c0c10Iainfix >=c10c0"
>
shape=
"
index in array bounds
ainfix <c2c10Aainfix <=c0c2Iainfix =V1asetV0c1c3Aainfix <=c0c10FIainfix <c1c10Aainfix <=c0c1Iainfix =V0asetaconstc0c0c9Aainfix <=c0c10FIainfix <c0c10Aainfix <=c0c0Iainfix <=c0c10Iainfix >=c10c0"
>
<label
name=
"expl:VC for test"
/>
<proof
...
...
@@ -542,11 +542,11 @@
name=
"WP_parameter test.5"
locfile=
"../vstte10_inverting.mlw"
loclnum=
"49"
loccnumb=
"6"
loccnume=
"10"
expl=
"5.
precondition
"
expl=
"5.
index in array bounds
"
sum=
"091cd6697e63d5ed711f5f059f23ee84"
proved=
"true"
expanded=
"true"
shape=
"
precondition
ainfix <c3c10Aainfix <=c0c3Iainfix =V2asetV1c2c8Aainfix <=c0c10FIainfix <c2c10Aainfix <=c0c2Iainfix =V1asetV0c1c3Aainfix <=c0c10FIainfix <c1c10Aainfix <=c0c1Iainfix =V0asetaconstc0c0c9Aainfix <=c0c10FIainfix <c0c10Aainfix <=c0c0Iainfix <=c0c10Iainfix >=c10c0"
>
shape=
"
index in array bounds
ainfix <c3c10Aainfix <=c0c3Iainfix =V2asetV1c2c8Aainfix <=c0c10FIainfix <c2c10Aainfix <=c0c2Iainfix =V1asetV0c1c3Aainfix <=c0c10FIainfix <c1c10Aainfix <=c0c1Iainfix =V0asetaconstc0c0c9Aainfix <=c0c10FIainfix <c0c10Aainfix <=c0c0Iainfix <=c0c10Iainfix >=c10c0"
>
<label
name=
"expl:VC for test"
/>
<proof
...
...
@@ -562,11 +562,11 @@
name=
"WP_parameter test.6"
locfile=
"../vstte10_inverting.mlw"
loclnum=
"49"
loccnumb=
"6"
loccnume=
"10"
expl=
"6.
precondition
"
expl=
"6.
index in array bounds
"
sum=
"2122323c5bb404f0e44e3a30625714d8"
proved=
"true"
expanded=
"true"
shape=
"
precondition
ainfix <c4c10Aainfix <=c0c4Iainfix =V3asetV2c3c2Aainfix <=c0c10FIainfix <c3c10Aainfix <=c0c3Iainfix =V2asetV1c2c8Aainfix <=c0c10FIainfix <c2c10Aainfix <=c0c2Iainfix =V1asetV0c1c3Aainfix <=c0c10FIainfix <c1c10Aainfix <=c0c1Iainfix =V0asetaconstc0c0c9Aainfix <=c0c10FIainfix <c0c10Aainfix <=c0c0Iainfix <=c0c10Iainfix >=c10c0"
>
shape=
"
index in array bounds
ainfix <c4c10Aainfix <=c0c4Iainfix =V3asetV2c3c2Aainfix <=c0c10FIainfix <c3c10Aainfix <=c0c3Iainfix =V2asetV1c2c8Aainfix <=c0c10FIainfix <c2c10Aainfix <=c0c2Iainfix =V1asetV0c1c3Aainfix <=c0c10FIainfix <c1c10Aainfix <=c0c1Iainfix =V0asetaconstc0c0c9Aainfix <=c0c10FIainfix <c0c10Aainfix <=c0c0Iainfix <=c0c10Iainfix >=c10c0"
>
<label
name=
"expl:VC for test"
/>
<proof
...
...
@@ -582,11 +582,11 @@
name=
"WP_parameter test.7"
locfile=
"../vstte10_inverting.mlw"
loclnum=
"49"
loccnumb=
"6"
loccnume=
"10"
expl=
"7.
precondition
"
expl=
"7.
index in array bounds
"
sum=
"9b612c5afa904151f6efd97ab8d98368"
proved=
"true"
expanded=
"true"
shape=
"
precondition
ainfix <c5c10Aainfix <=c0c5Iainfix =V4asetV3c4c7Aainfix <=c0c10FIainfix <c4c10Aainfix <=c0c4Iainfix =V3asetV2c3c2Aainfix <=c0c10FIainfix <c3c10Aainfix <=c0c3Iainfix =V2asetV1c2c8Aainfix <=c0c10FIainfix <c2c10Aainfix <=c0c2Iainfix =V1asetV0c1c3Aainfix <=c0c10FIainfix <c1c10Aainfix <=c0c1Iainfix =V0asetaconstc0c0c9Aainfix <=c0c10FIainfix <c0c10Aainfix <=c0c0Iainfix <=c0c10Iainfix >=c10c0"
>
shape=
"
index in array bounds
ainfix <c5c10Aainfix <=c0c5Iainfix =V4asetV3c4c7Aainfix <=c0c10FIainfix <c4c10Aainfix <=c0c4Iainfix =V3asetV2c3c2Aainfix <=c0c10FIainfix <c3c10Aainfix <=c0c3Iainfix =V2asetV1c2c8Aainfix <=c0c10FIainfix <c2c10Aainfix <=c0c2Iainfix =V1asetV0c1c3Aainfix <=c0c10FIainfix <c1c10Aainfix <=c0c1Iainfix =V0asetaconstc0c0c9Aainfix <=c0c10FIainfix <c0c10Aainfix <=c0c0Iainfix <=c0c10Iainfix >=c10c0"
>
<label
name=
"expl:VC for test"
/>
<proof
...
...
@@ -602,11 +602,11 @@
name=
"WP_parameter test.8"
locfile=
"../vstte10_inverting.mlw"
loclnum=
"49"
loccnumb=
"6"
loccnume=
"10"
expl=
"8.
precondition
"
expl=
"8.
index in array bounds
"
sum=
"69354df51eb4854ba19c029d3be58905"
proved=
"true"
expanded=
"true"
shape=
"
precondition
ainfix <c6c10Aainfix <=c0c6Iainfix =V5asetV4c5c4Aainfix <=c0c10FIainfix <c5c10Aainfix <=c0c5Iainfix =V4asetV3c4c7Aainfix <=c0c10FIainfix <c4c10Aainfix <=c0c4Iainfix =V3asetV2c3c2Aainfix <=c0c10FIainfix <c3c10Aainfix <=c0c3Iainfix =V2asetV1c2c8Aainfix <=c0c10FIainfix <c2c10Aainfix <=c0c2Iainfix =V1asetV0c1c3Aainfix <=c0c10FIainfix <c1c10Aainfix <=c0c1Iainfix =V0asetaconstc0c0c9Aainfix <=c0c10FIainfix <c0c10Aainfix <=c0c0Iainfix <=c0c10Iainfix >=c10c0"
>
shape=
"
index in array bounds
ainfix <c6c10Aainfix <=c0c6Iainfix =V5asetV4c5c4Aainfix <=c0c10FIainfix <c5c10Aainfix <=c0c5Iainfix =V4asetV3c4c7Aainfix <=c0c10FIainfix <c4c10Aainfix <=c0c4Iainfix =V3asetV2c3c2Aainfix <=c0c10FIainfix <c3c10Aainfix <=c0c3Iainfix =V2asetV1c2c8Aainfix <=c0c10FIainfix <c2c10Aainfix <=c0c2Iainfix =V1asetV0c1c3Aainfix <=c0c10FIainfix <c1c10Aainfix <=c0c1Iainfix =V0asetaconstc0c0c9Aainfix <=c0c10FIainfix <c0c10Aainfix <=c0c0Iainfix <=c0c10Iainfix >=c10c0"
>
<label
name=
"expl:VC for test"
/>
<proof
...
...
@@ -622,11 +622,11 @@
name=
"WP_parameter test.9"
locfile=
"../vstte10_inverting.mlw"
loclnum=
"49"
loccnumb=
"6"
loccnume=
"10"
expl=
"9.
precondition
"
expl=
"9.
index in array bounds
"
sum=
"9a9fdffacf6e22eaff891e196d723370"
proved=
"true"
expanded=
"true"
shape=
"
precondition
ainfix <c7c10Aainfix <=c0c7Iainfix =V6asetV5c6c0Aainfix <=c0c10FIainfix <c6c10Aainfix <=c0c6Iainfix =V5asetV4c5c4Aainfix <=c0c10FIainfix <c5c10Aainfix <=c0c5Iainfix =V4asetV3c4c7Aainfix <=c0c10FIainfix <c4c10Aainfix <=c0c4Iainfix =V3asetV2c3c2Aainfix <=c0c10FIainfix <c3c10Aainfix <=c0c3Iainfix =V2asetV1c2c8Aainfix <=c0c10FIainfix <c2c10Aainfix <=c0c2Iainfix =V1asetV0c1c3Aainfix <=c0c10FIainfix <c1c10Aainfix <=c0c1Iainfix =V0asetaconstc0c0c9Aainfix <=c0c10FIainfix <c0c10Aainfix <=c0c0Iainfix <=c0c10Iainfix >=c10c0"
>
shape=
"
index in array bounds
ainfix <c7c10Aainfix <=c0c7Iainfix =V6asetV5c6c0Aainfix <=c0c10FIainfix <c6c10Aainfix <=c0c6Iainfix =V5asetV4c5c4Aainfix <=c0c10FIainfix <c5c10Aainfix <=c0c5Iainfix =V4asetV3c4c7Aainfix <=c0c10FIainfix <c4c10Aainfix <=c0c4Iainfix =V3asetV2c3c2Aainfix <=c0c10FIainfix <c3c10Aainfix <=c0c3Iainfix =V2asetV1c2c8Aainfix <=c0c10FIainfix <c2c10Aainfix <=c0c2Iainfix =V1asetV0c1c3Aainfix <=c0c10FIainfix <c1c10Aainfix <=c0c1Iainfix =V0asetaconstc0c0c9Aainfix <=c0c10FIainfix <c0c10Aainfix <=c0c0Iainfix <=c0c10Iainfix >=c10c0"
>
<label
name=
"expl:VC for test"
/>
<proof
...
...
@@ -642,11 +642,11 @@
name=
"WP_parameter test.10"
locfile=
"../vstte10_inverting.mlw"
loclnum=
"49"
loccnumb=
"6"
loccnume=
"10"
expl=
"10.
precondition
"
expl=
"10.
index in array bounds
"
sum=
"992c70b97d1db6fa43d5a4430e945b8c"
proved=
"true"
expanded=
"true"
shape=
"
precondition
ainfix <c8c10Aainfix <=c0c8Iainfix =V7asetV6c7c1Aainfix <=c0c10FIainfix <c7c10Aainfix <=c0c7Iainfix =V6asetV5c6c0Aainfix <=c0c10FIainfix <c6c10Aainfix <=c0c6Iainfix =V5asetV4c5c4Aainfix <=c0c10FIainfix <c5c10Aainfix <=c0c5Iainfix =V4asetV3c4c7Aainfix <=c0c10FIainfix <c4c10Aainfix <=c0c4Iainfix =V3asetV2c3c2Aainfix <=c0c10FIainfix <c3c10Aainfix <=c0c3Iainfix =V2asetV1c2c8Aainfix <=c0c10FIainfix <c2c10Aainfix <=c0c2Iainfix =V1asetV0c1c3Aainfix <=c0c10FIainfix <c1c10Aainfix <=c0c1Iainfix =V0asetaconstc0c0c9Aainfix <=c0c10FIainfix <c0c10Aainfix <=c0c0Iainfix <=c0c10Iainfix >=c10c0"
>
shape=
"
index in array bounds
ainfix <c8c10Aainfix <=c0c8Iainfix =V7asetV6c7c1Aainfix <=c0c10FIainfix <c7c10Aainfix <=c0c7Iainfix =V6asetV5c6c0Aainfix <=c0c10FIainfix <c6c10Aainfix <=c0c6Iainfix =V5asetV4c5c4Aainfix <=c0c10FIainfix <c5c10Aainfix <=c0c5Iainfix =V4asetV3c4c7Aainfix <=c0c10FIainfix <c4c10Aainfix <=c0c4Iainfix =V3asetV2c3c2Aainfix <=c0c10FIainfix <c3c10Aainfix <=c0c3Iainfix =V2asetV1c2c8Aainfix <=c0c10FIainfix <c2c10Aainfix <=c0c2Iainfix =V1asetV0c1c3Aainfix <=c0c10FIainfix <c1c10Aainfix <=c0c1Iainfix =V0asetaconstc0c0c9Aainfix <=c0c10FIainfix <c0c10Aainfix <=c0c0Iainfix <=c0c10Iainfix >=c10c0"
>
<label
name=
"expl:VC for test"
/>
<proof
...
...
@@ -662,11 +662,11 @@
name=
"WP_parameter test.11"
locfile=
"../vstte10_inverting.mlw"
loclnum=
"49"
loccnumb=
"6"
loccnume=
"10"
expl=
"11.
precondition
"
expl=
"11.
index in array bounds
"
sum=
"f858211d4ed818f582feaa413ed0dd17"
proved=
"true"
expanded=
"true"
shape=
"
precondition
ainfix <c9c10Aainfix <=c0c9Iainfix =V8asetV7c8c5Aainfix <=c0c10FIainfix <c8c10Aainfix <=c0c8Iainfix =V7asetV6c7c1Aainfix <=c0c10FIainfix <c7c10Aainfix <=c0c7Iainfix =V6asetV5c6c0Aainfix <=c0c10FIainfix <c6c10Aainfix <=c0c6Iainfix =V5asetV4c5c4Aainfix <=c0c10FIainfix <c5c10Aainfix <=c0c5Iainfix =V4asetV3c4c7Aainfix <=c0c10FIainfix <c4c10Aainfix <=c0c4Iainfix =V3asetV2c3c2Aainfix <=c0c10FIainfix <c3c10Aainfix <=c0c3Iainfix =V2asetV1c2c8Aainfix <=c0c10FIainfix <c2c10Aainfix <=c0c2Iainfix =V1asetV0c1c3Aainfix <=c0c10FIainfix <c1c10Aainfix <=c0c1Iainfix =V0asetaconstc0c0c9Aainfix <=c0c10FIainfix <c0c10Aainfix <=c0c0Iainfix <=c0c10Iainfix >=c10c0"
>
shape=
"
index in array bounds
ainfix <c9c10Aainfix <=c0c9Iainfix =V8asetV7c8c5Aainfix <=c0c10FIainfix <c8c10Aainfix <=c0c8Iainfix =V7asetV6c7c1Aainfix <=c0c10FIainfix <c7c10Aainfix <=c0c7Iainfix =V6asetV5c6c0Aainfix <=c0c10FIainfix <c6c10Aainfix <=c0c6Iainfix =V5asetV4c5c4Aainfix <=c0c10FIainfix <c5c10Aainfix <=c0c5Iainfix =V4asetV3c4c7Aainfix <=c0c10FIainfix <c4c10Aainfix <=c0c4Iainfix =V3asetV2c3c2Aainfix <=c0c10FIainfix <c3c10Aainfix <=c0c3Iainfix =V2asetV1c2c8Aainfix <=c0c10FIainfix <c2c10Aainfix <=c0c2Iainfix =V1asetV0c1c3Aainfix <=c0c10FIainfix <c1c10Aainfix <=c0c1Iainfix =V0asetaconstc0c0c9Aainfix <=c0c10FIainfix <c0c10Aainfix <=c0c0Iainfix <=c0c10Iainfix >=c10c0"
>
<label
name=
"expl:VC for test"
/>
<proof
...
...
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