Skip to content
GitLab
Projects
Groups
Snippets
Help
Loading...
Help
Help
Support
Community forum
Keyboard shortcuts
?
Submit feedback
Contribute to GitLab
Sign in
Toggle navigation
Open sidebar
Why3
why3
Commits
619709ec
Commit
619709ec
authored
Feb 17, 2013
by
MARCHE Claude
Browse files
Bitvector: improved lemmas
parent
a10662a0
Changes
7
Expand all
Hide whitespace changes
Inline
Side-by-side
Showing
7 changed files
with
764 additions
and
554 deletions
+764
-554
examples/bitvectors/bitvector/bitvector_BitVector_nth_from_int2c_plus_pow2_1.v
...itvector/bitvector_BitVector_nth_from_int2c_plus_pow2_1.v
+34
-46
examples/bitvectors/bitvector/why3session.xml
examples/bitvectors/bitvector/why3session.xml
+59
-59
examples/bitvectors/double/why3session.xml
examples/bitvectors/double/why3session.xml
+12
-12
examples/bitvectors/double_of_int/why3session.xml
examples/bitvectors/double_of_int/why3session.xml
+87
-87
examples/bitvectors/neg_as_xor/why3session.xml
examples/bitvectors/neg_as_xor/why3session.xml
+19
-19
examples/bitvectors/power2.why
examples/bitvectors/power2.why
+41
-5
examples/bitvectors/power2/why3session.xml
examples/bitvectors/power2/why3session.xml
+512
-326
No files found.
examples/bitvectors/bitvector/bitvector_BitVector_nth_from_int2c_plus_pow2_1.v
View file @
619709ec
(
*
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
ZArith
.
Require
Import
Rbase
.
Require
Import
BuiltIn
.
Require
Import
ZOdiv
.
Require
BuiltIn
.
Require
bool
.
Bool
.
Require
int
.
Int
.
Require
int
.
Abs
.
Require
int
.
EuclideanDivision
.
(
*
Why3
assumption
*
)
Definition
implb
(
x
:
bool
)
(
y
:
bool
)
:
bool
:=
match
(
x
,
y
)
with
|
(
true
,
false
)
=>
false
|
(
_
,
_
)
=>
true
end
.
Require
int
.
ComputerDivision
.
Parameter
pow2
:
Z
->
Z
.
...
...
@@ -156,27 +151,22 @@ Axiom pow2_62 : ((pow2 62%Z) = 4611686018427387904%Z).
Axiom
pow2_63
:
((
pow2
63
%
Z
)
=
9223372036854775808
%
Z
).
Axiom
Div_pow
:
forall
(
x
:
Z
)
(
i
:
Z
),
(((
pow2
(
i
-
1
%
Z
)
%
Z
)
<=
x
)
%
Z
/
\
(
x
<
(
pow2
i
))
%
Z
)
->
((
int
.
EuclideanDivision
.
div
x
(
pow2
(
i
-
1
%
Z
)
%
Z
))
=
1
%
Z
).
(
x
<
(
pow2
i
))
%
Z
)
->
((
ZOdiv
x
(
pow2
(
i
-
1
%
Z
)
%
Z
))
=
1
%
Z
).
Axiom
Div_pow2
:
forall
(
x
:
Z
)
(
i
:
Z
),
(((
-
(
pow2
i
))
%
Z
<=
x
)
%
Z
/
\
(
x
<
(
-
(
pow2
(
i
-
1
%
Z
)
%
Z
))
%
Z
)
%
Z
)
->
((
int
.
EuclideanDivision
.
div
x
(
pow2
(
i
-
1
%
Z
)
%
Z
))
=
(
-
2
%
Z
)
%
Z
).
Axiom
Mod_pow2
:
forall
(
x
:
Z
)
(
i
:
Z
),
((
int
.
EuclideanDivision
.
mod1
(
x
+
(
pow2
i
))
%
Z
2
%
Z
)
=
(
int
.
EuclideanDivision
.
mod1
x
2
%
Z
)).
(
x
<
(
-
(
pow2
(
i
-
1
%
Z
)
%
Z
))
%
Z
)
%
Z
)
->
((
ZOdiv
x
(
pow2
(
i
-
1
%
Z
)
%
Z
))
=
(
-
2
%
Z
)
%
Z
).
Axiom
Mod_pow2_gen
:
forall
(
x
:
Z
)
(
i
:
Z
)
(
k
:
Z
),
((
0
%
Z
<=
k
)
%
Z
/
\
(
k
<
i
)
%
Z
)
->
((
int
.
EuclideanDivision
.
mod1
(
int
.
EuclideanDivision
.
div
(
x
+
(
pow2
i
))
%
Z
(
pow2
k
))
2
%
Z
)
=
(
int
.
EuclideanDivision
.
mod1
(
int
.
EuclideanDivision
.
div
x
(
pow2
k
))
2
%
Z
)).
((
ZOmod
(
ZOdiv
(
x
+
(
pow2
i
))
%
Z
(
pow2
k
))
2
%
Z
)
=
(
ZOmod
(
ZOdiv
x
(
pow2
k
))
2
%
Z
)).
Parameter
size
:
Z
.
Axiom
size_positive
:
(
1
%
Z
<
size
)
%
Z
.
Parameter
bv
:
Type
.
Axiom
bv
:
Type
.
Parameter
bv_WhyType
:
WhyType
bv
.
Existing
Instance
bv_WhyType
.
Parameter
nth
:
bv
->
Z
->
bool
.
...
...
@@ -191,7 +181,7 @@ Axiom Nth_one : forall (n:Z), ((0%Z <= n)%Z /\ (n < size)%Z) -> ((nth bvone
n
)
=
true
).
(
*
Why3
assumption
*
)
Definition
eq
(
v1
:
bv
)
(
v2
:
bv
)
:
Prop
:=
forall
(
n
:
Z
),
((
0
%
Z
<=
n
)
%
Z
/
\
Definition
eq
(
v1
:
bv
)
(
v2
:
bv
)
:
Prop
:=
forall
(
n
:
Z
),
((
0
%
Z
<=
n
)
%
Z
/
\
(
n
<
size
)
%
Z
)
->
((
nth
v1
n
)
=
(
nth
v2
n
)).
Axiom
extensionality
:
forall
(
v1
:
bv
)
(
v2
:
bv
),
(
eq
v1
v2
)
->
(
v1
=
v2
).
...
...
@@ -297,19 +287,18 @@ Axiom to_nat_sub_footprint : forall (b1:bv) (b2:bv) (j:Z) (i:Z),
Parameter
from_int
:
Z
->
bv
.
Axiom
nth_from_int_high_even
:
forall
(
n
:
Z
)
(
i
:
Z
),
(((
i
<
size
)
%
Z
/
\
(
0
%
Z
<=
i
)
%
Z
)
/
\
((
int
.
EuclideanDivision
.
mod
1
(
int
.
EuclideanDivision
.
div
n
(
pow2
i
))
2
%
Z
)
=
0
%
Z
))
->
((
nth
(
from_int
n
)
i
)
=
false
).
(
0
%
Z
<=
i
)
%
Z
)
/
\
((
ZO
mod
(
ZOdiv
n
(
pow2
i
))
2
%
Z
)
=
0
%
Z
))
->
((
nth
(
from_int
n
)
i
)
=
false
).
Axiom
nth_from_int_high_odd
:
forall
(
n
:
Z
)
(
i
:
Z
),
(((
i
<
size
)
%
Z
/
\
(
0
%
Z
<=
i
)
%
Z
)
/
\
~
((
int
.
EuclideanDivision
.
mod1
(
int
.
EuclideanDivision
.
div
n
(
pow2
i
))
2
%
Z
)
=
0
%
Z
))
->
((
nth
(
from_int
n
)
i
)
=
true
).
(
0
%
Z
<=
i
)
%
Z
)
/
\
~
((
ZOmod
(
ZOdiv
n
(
pow2
i
))
2
%
Z
)
=
0
%
Z
))
->
((
nth
(
from_int
n
)
i
)
=
true
).
Axiom
nth_from_int_low_even
:
forall
(
n
:
Z
),
((
int
.
EuclideanDivision
.
mod
1
n
2
%
Z
)
=
0
%
Z
)
->
((
nth
(
from_int
n
)
0
%
Z
)
=
false
).
Axiom
nth_from_int_low_even
:
forall
(
n
:
Z
),
((
ZO
mod
n
2
%
Z
)
=
0
%
Z
)
->
((
nth
(
from_int
n
)
0
%
Z
)
=
false
).
Axiom
nth_from_int_low_odd
:
forall
(
n
:
Z
),
(
~
((
int
.
EuclideanDivision
.
mod
1
n
2
%
Z
)
=
0
%
Z
))
->
((
nth
(
from_int
n
)
0
%
Z
)
=
true
).
Axiom
nth_from_int_low_odd
:
forall
(
n
:
Z
),
(
~
((
ZO
mod
n
2
%
Z
)
=
0
%
Z
))
->
((
nth
(
from_int
n
)
0
%
Z
)
=
true
).
Axiom
nth_from_int_0
:
forall
(
i
:
Z
),
((
i
<
size
)
%
Z
/
\
(
0
%
Z
<=
i
)
%
Z
)
->
((
nth
(
from_int
0
%
Z
)
i
)
=
false
).
...
...
@@ -324,20 +313,19 @@ Axiom nth_sign_negative : forall (n:Z), (n < 0%Z)%Z -> ((nth (from_int2c n)
Axiom
nth_from_int2c_high_even
:
forall
(
n
:
Z
)
(
i
:
Z
),
(((
i
<
(
size
-
1
%
Z
)
%
Z
)
%
Z
/
\
(
0
%
Z
<=
i
)
%
Z
)
/
\
((
int
.
EuclideanDivision
.
mod
1
(
int
.
EuclideanDivision
.
div
n
(
pow2
i
)
)
2
%
Z
)
=
0
%
Z
))
->
((
nth
(
from_int2c
n
)
i
)
=
false
).
((
ZO
mod
(
ZOdiv
n
(
pow2
i
))
2
%
Z
)
=
0
%
Z
))
->
((
nth
(
from_int2c
n
)
i
)
=
false
).
Axiom
nth_from_int2c_high_odd
:
forall
(
n
:
Z
)
(
i
:
Z
),
(((
i
<
(
size
-
1
%
Z
)
%
Z
)
%
Z
/
\
(
0
%
Z
<=
i
)
%
Z
)
/
\
~
((
int
.
EuclideanDivision
.
mod
1
(
int
.
EuclideanDivision
.
div
n
(
pow2
i
)
)
2
%
Z
)
=
0
%
Z
))
->
((
nth
(
from_int2c
n
)
i
)
=
true
).
~
((
ZO
mod
(
ZOdiv
n
(
pow2
i
))
2
%
Z
)
=
0
%
Z
))
->
((
nth
(
from_int2c
n
)
i
)
=
true
).
Axiom
nth_from_int2c_low_even
:
forall
(
n
:
Z
),
((
int
.
EuclideanDivision
.
mod
1
n
2
%
Z
)
=
0
%
Z
)
->
((
nth
(
from_int2c
n
)
0
%
Z
)
=
false
).
Axiom
nth_from_int2c_low_even
:
forall
(
n
:
Z
),
((
ZO
mod
n
2
%
Z
)
=
0
%
Z
)
->
((
nth
(
from_int2c
n
)
0
%
Z
)
=
false
).
Axiom
nth_from_int2c_low_odd
:
forall
(
n
:
Z
),
(
~
((
int
.
EuclideanDivision
.
mod1
n
2
%
Z
)
=
0
%
Z
))
->
((
nth
(
from_int2c
n
)
0
%
Z
)
=
true
).
Axiom
nth_from_int2c_low_odd
:
forall
(
n
:
Z
),
(
~
((
ZOmod
n
2
%
Z
)
=
0
%
Z
))
->
((
nth
(
from_int2c
n
)
0
%
Z
)
=
true
).
Axiom
nth_from_int2c_0
:
forall
(
i
:
Z
),
((
i
<
size
)
%
Z
/
\
(
0
%
Z
<=
i
)
%
Z
)
->
((
nth
(
from_int2c
0
%
Z
)
i
)
=
false
).
...
...
@@ -350,12 +338,12 @@ Ltac ae := why3 "alt-ergo" timelimit 3.
Theorem
nth_from_int2c_plus_pow2
:
forall
(
x
:
Z
)
(
k
:
Z
)
(
i
:
Z
),
(((
0
%
Z
<=
k
)
%
Z
/
\
(
k
<
i
)
%
Z
)
/
\
(
k
<
(
size
-
1
%
Z
)
%
Z
)
%
Z
)
->
((
nth
(
from_int2c
(
x
+
(
pow2
i
))
%
Z
)
k
)
=
(
nth
(
from_int2c
x
)
k
)).
(
*
intros
x
k
i
((
h1
,
h2
),
h3
).
*
)
intros
x
k
i
(
h1
&
h2
).
assert
(
h
:
int
.
EuclideanDivision
.
mod1
(
int
.
EuclideanDivision
.
div
x
(
pow2
k
))
2
=
0
\
/
int
.
EuclideanDivision
.
mod1
(
int
.
EuclideanDivision
.
div
x
(
pow2
k
))
2
<>
0
)
by
omega
.
assert
(
h
:
ZOmod
(
ZOdiv
x
(
pow2
k
))
2
=
0
\
/
ZOmod
(
ZOdiv
x
(
pow2
k
))
2
<>
0
)
by
omega
.
destruct
h
.
rewrite
nth_from_int2c_high_even
;
intuition
.
rewrite
nth_from_int2c_high_even
;
intuition
.
...
...
examples/bitvectors/bitvector/why3session.xml
View file @
619709ec
...
...
@@ -20,7 +20,7 @@
<prover
id=
"4"
name=
"Coq"
version=
"8.
3pl
4"
/>
version=
"8.4"
/>
<prover
id=
"5"
name=
"Z3"
...
...
@@ -43,7 +43,7 @@
name=
"Nth_bw_xor_v1true"
locfile=
"../bitvector.why"
loclnum=
"46"
loccnumb=
"8"
loccnume=
"25"
sum=
"
c71da5b123475a135e6d8ba5265cbb06
"
sum=
"
7336cb7a88060b0c0c6fc8f8f8b8c222
"
proved=
"true"
expanded=
"false"
shape=
"ainfix =anthabw_xorV0V1V2anotbanthV1V2Iainfix =anthV0V2aTrueAainfix <V2asizeAainfix <=c0V2F"
>
...
...
@@ -53,7 +53,7 @@
memlimit=
"1000"
obsolete=
"false"
archived=
"false"
>
<result
status=
"valid"
time=
"0.4
5
"
/>
<result
status=
"valid"
time=
"0.4
3
"
/>
</proof>
<proof
prover=
"2"
...
...
@@ -76,7 +76,7 @@
name=
"Nth_bw_xor_v1false"
locfile=
"../bitvector.why"
loclnum=
"50"
loccnumb=
"8"
loccnume=
"26"
sum=
"f
63adda1904c454681364cdd93fcaf30
"
sum=
"f
d833de41671f9bedf97f3a7c0823b97
"
proved=
"true"
expanded=
"false"
shape=
"ainfix =anthabw_xorV0V1V2anthV1V2Iainfix =anthV0V2aFalseAainfix <V2asizeAainfix <=c0V2F"
>
...
...
@@ -101,7 +101,7 @@
name=
"Nth_bw_xor_v2true"
locfile=
"../bitvector.why"
loclnum=
"54"
loccnumb=
"8"
loccnume=
"25"
sum=
"
b6042669079d548ded8cf4893e7945ea
"
sum=
"
6180b5e0ed3f8182962fe71dfbe443ef
"
proved=
"true"
expanded=
"false"
shape=
"ainfix =anthabw_xorV0V1V2anotbanthV0V2Iainfix =anthV1V2aTrueAainfix <V2asizeAainfix <=c0V2F"
>
...
...
@@ -134,7 +134,7 @@
name=
"Nth_bw_xor_v2false"
locfile=
"../bitvector.why"
loclnum=
"58"
loccnumb=
"8"
loccnume=
"26"
sum=
"
ea929e3d5f4b8229d9d0a18a624b3a54
"
sum=
"
4eff242a8ed25ab45b66ffcdbba75988
"
proved=
"true"
expanded=
"false"
shape=
"ainfix =anthabw_xorV0V1V2anthV0V2Iainfix =anthV1V2aFalseAainfix <V2asizeAainfix <=c0V2F"
>
...
...
@@ -144,7 +144,7 @@
memlimit=
"1000"
obsolete=
"false"
archived=
"false"
>
<result
status=
"valid"
time=
"0.4
6
"
/>
<result
status=
"valid"
time=
"0.4
3
"
/>
</proof>
<proof
prover=
"2"
...
...
@@ -167,7 +167,7 @@
name=
"to_nat_of_zero2"
locfile=
"../bitvector.why"
loclnum=
"194"
loccnumb=
"8"
loccnume=
"23"
sum=
"
ddd6fee47a8de55bacf25bea4395fa36
"
sum=
"
568ace6f04f2832b96a9d7d708822877
"
proved=
"true"
expanded=
"false"
shape=
"ainfix =ato_nat_subV0V2c0ato_nat_subV0V1c0Iainfix =anthV0V3aFalseIainfix >V3V1Aainfix >=V2V3FIainfix >=V1c0Aainfix >=V2V1Aainfix >asizeV2F"
>
...
...
@@ -178,14 +178,14 @@
edited=
"bitvector_BitVector_to_nat_of_zero2_1.v"
obsolete=
"false"
archived=
"false"
>
<result
status=
"valid"
time=
"
0.5
5"
/>
<result
status=
"valid"
time=
"
1.2
5"
/>
</proof>
</goal>
<goal
name=
"to_nat_of_zero"
locfile=
"../bitvector.why"
loclnum=
"200"
loccnumb=
"8"
loccnume=
"22"
sum=
"
8fe736188051f512ba9f187a531a79d8
"
sum=
"
5204441b513b12fd189f5b5723be6dce
"
proved=
"true"
expanded=
"false"
shape=
"ainfix =ato_nat_subV0V2V1c0Iainfix =anthV0V3aFalseIainfix >=V3V1Aainfix >=V2V3FIainfix >=V1c0Aainfix >asizeV2F"
>
...
...
@@ -196,14 +196,14 @@
edited=
"bitvector_BitVector_to_nat_of_zero_1.v"
obsolete=
"false"
archived=
"false"
>
<result
status=
"valid"
time=
"
1.01
"
/>
<result
status=
"valid"
time=
"
2.17
"
/>
</proof>
</goal>
<goal
name=
"to_nat_of_one"
locfile=
"../bitvector.why"
loclnum=
"205"
loccnumb=
"8"
loccnume=
"21"
sum=
"
9c6d165a2c55b6b73c6f243c3942c38f
"
sum=
"
a0b50b96e3d32d313b4283136c5065f8
"
proved=
"true"
expanded=
"false"
shape=
"ainfix =ato_nat_subV0V2V1ainfix -apow2ainfix +ainfix -V2V1c1c1Iainfix =anthV0V3aTrueIainfix >=V3V1Aainfix >=V2V3FIainfix >=V1c0Aainfix >=V2V1Aainfix >asizeV2F"
>
...
...
@@ -214,14 +214,14 @@
edited=
"bitvector_BitVector_to_nat_of_one_1.v"
obsolete=
"false"
archived=
"false"
>
<result
status=
"valid"
time=
"
0.80
"
/>
<result
status=
"valid"
time=
"
2.97
"
/>
</proof>
</goal>
<goal
name=
"to_nat_sub_footprint"
locfile=
"../bitvector.why"
loclnum=
"210"
loccnumb=
"8"
loccnume=
"28"
sum=
"
a8a471b72099b8d903352cccd7be8a47
"
sum=
"
c599083107b6a84ab728ff34f59936db
"
proved=
"true"
expanded=
"false"
shape=
"ainfix =ato_nat_subV0V2V3ato_nat_subV1V2V3Iainfix =anthV0V4anthV1V4Iainfix <=V4V2Aainfix <=V3V4FIainfix >=V3c0Aainfix >asizeV2F"
>
...
...
@@ -232,14 +232,14 @@
edited=
"bitvector_BitVector_to_nat_sub_footprint_1.v"
obsolete=
"false"
archived=
"false"
>
<result
status=
"valid"
time=
"
4
.8
2
"
/>
<result
status=
"valid"
time=
"
5
.8
9
"
/>
</proof>
</goal>
<goal
name=
"nth_from_int_low_even"
locfile=
"../bitvector.why"
loclnum=
"297"
loccnumb=
"8"
loccnume=
"29"
sum=
"
e8d132e33846ba499258bc0fde390fff
"
sum=
"
04bacb74816b0d244a9015a0b669ac0b
"
proved=
"true"
expanded=
"false"
shape=
"ainfix =anthafrom_intV0c0aFalseIainfix =amodV0c2c0F"
>
...
...
@@ -249,7 +249,7 @@
memlimit=
"1000"
obsolete=
"false"
archived=
"false"
>
<result
status=
"valid"
time=
"
0.55
"
/>
<result
status=
"valid"
time=
"
1.48
"
/>
</proof>
<proof
prover=
"2"
...
...
@@ -272,7 +272,7 @@
name=
"nth_from_int_low_odd"
locfile=
"../bitvector.why"
loclnum=
"300"
loccnumb=
"8"
loccnume=
"28"
sum=
"
cda07e2f83d57f22ac0a58678b2fa9fc
"
sum=
"
9fc9c890faf1048915efd9d31236c1ad
"
proved=
"true"
expanded=
"false"
shape=
"ainfix =anthafrom_intV0c0aTrueIainfix =amodV0c2c0NF"
>
...
...
@@ -282,7 +282,7 @@
memlimit=
"1000"
obsolete=
"false"
archived=
"false"
>
<result
status=
"valid"
time=
"
0.42
"
/>
<result
status=
"valid"
time=
"
1.38
"
/>
</proof>
<proof
prover=
"2"
...
...
@@ -305,7 +305,7 @@
name=
"nth_from_int_0"
locfile=
"../bitvector.why"
loclnum=
"303"
loccnumb=
"8"
loccnume=
"22"
sum=
"
ca23fa34d760d5610183873fdbe590a
6"
sum=
"
46282979760ba5663d1e736f5ec896b
6"
proved=
"true"
expanded=
"false"
shape=
"ainfix =anthafrom_intc0V0aFalseIainfix >=V0c0Aainfix >asizeV0F"
>
...
...
@@ -315,7 +315,7 @@
memlimit=
"1000"
obsolete=
"false"
archived=
"false"
>
<result
status=
"valid"
time=
"0.0
7
"
/>
<result
status=
"valid"
time=
"0.
9
0"
/>
</proof>
<proof
prover=
"2"
...
...
@@ -338,7 +338,7 @@
name=
"nth_from_int2c_low_even"
locfile=
"../bitvector.why"
loclnum=
"339"
loccnumb=
"8"
loccnume=
"31"
sum=
"
c7632972b470f7807ac2702aab2261be
"
sum=
"
9a061aee2577ccefa208774ae5f70575
"
proved=
"true"
expanded=
"false"
shape=
"ainfix =anthafrom_int2cV0c0aFalseIainfix =amodV0c2c0F"
>
...
...
@@ -371,7 +371,7 @@
name=
"nth_from_int2c_low_odd"
locfile=
"../bitvector.why"
loclnum=
"342"
loccnumb=
"8"
loccnume=
"30"
sum=
"
84501455c438fd68d91f90fefc7dca36
"
sum=
"
653f5049d247902176a1fe8f303cdcb5
"
proved=
"true"
expanded=
"false"
shape=
"ainfix =anthafrom_int2cV0c0aTrueIainfix =amodV0c2c0NF"
>
...
...
@@ -404,7 +404,7 @@
name=
"nth_from_int2c_0"
locfile=
"../bitvector.why"
loclnum=
"345"
loccnumb=
"8"
loccnume=
"24"
sum=
"
5e426d131637727afbc0fdff70a8218b
"
sum=
"
f1e629e673a3ffa6cb5ee025387e1df9
"
proved=
"true"
expanded=
"false"
shape=
"ainfix =anthafrom_int2cc0V0aFalseIainfix >=V0c0Aainfix >asizeV0F"
>
...
...
@@ -414,7 +414,7 @@
memlimit=
"1000"
obsolete=
"false"
archived=
"false"
>
<result
status=
"valid"
time=
"
0
.1
0
"
/>
<result
status=
"valid"
time=
"
1
.1
6
"
/>
</proof>
<proof
prover=
"2"
...
...
@@ -437,7 +437,7 @@
name=
"nth_from_int2c_plus_pow2"
locfile=
"../bitvector.why"
loclnum=
"348"
loccnumb=
"8"
loccnume=
"32"
sum=
"
78502b6411e1a17f564f6d99b951fe80
"
sum=
"
c000595eb5c8058ebcf4ca2b6e93b77d
"
proved=
"true"
expanded=
"false"
shape=
"ainfix =anthafrom_int2cainfix +V0apow2V2V1anthafrom_int2cV0V1Iainfix <V1ainfix -asizec1Aainfix <V1V2Aainfix <=c0V1F"
>
...
...
@@ -455,7 +455,7 @@
memlimit=
"1000"
obsolete=
"false"
archived=
"false"
>
<result
status=
"valid"
time=
"
1.2
4"
/>
<result
status=
"valid"
time=
"
0.0
4"
/>
</proof>
<proof
prover=
"4"
...
...
@@ -464,7 +464,7 @@
edited=
"bitvector_BitVector_nth_from_int2c_plus_pow2_1.v"
obsolete=
"false"
archived=
"false"
>
<result
status=
"
valid
"
time=
"
0.67
"
/>
<result
status=
"
unknown
"
time=
"
1.13
"
/>
</proof>
</goal>
</theory>
...
...
@@ -499,7 +499,7 @@
name=
"Test1"
locfile=
"../bitvector.why"
loclnum=
"395"
loccnumb=
"7"
loccnume=
"12"
sum=
"
56e8c8468579d6f4380945fb3c9fca8e
"
sum=
"
b28b795364127f5b05d6ce5346d721a3
"
proved=
"true"
expanded=
"false"
shape=
"ainfix =anthV0c1aFalseLabw_andabvzeroabvone"
>
...
...
@@ -509,7 +509,7 @@
memlimit=
"1000"
obsolete=
"false"
archived=
"false"
>
<result
status=
"valid"
time=
"0.2
8
"
/>
<result
status=
"valid"
time=
"0.
1
2"
/>
</proof>
<proof
prover=
"2"
...
...
@@ -540,7 +540,7 @@
name=
"Test2"
locfile=
"../bitvector.why"
loclnum=
"398"
loccnumb=
"7"
loccnume=
"12"
sum=
"
52425401dbaea8d7af03e863f7e9c667
"
sum=
"
1e69110b2768982b05a49379d9196bf2
"
proved=
"true"
expanded=
"false"
shape=
"ainfix =anthV0c15aTrueLalsrabvonec16"
>
...
...
@@ -581,7 +581,7 @@
name=
"Test3"
locfile=
"../bitvector.why"
loclnum=
"401"
loccnumb=
"7"
loccnume=
"12"
sum=
"
d52d099ceda270bdc135680430b3acc6
"
sum=
"
7afe67fb12b69bbb01b7033038d5616b
"
proved=
"true"
expanded=
"false"
shape=
"ainfix =anthV0c16aFalseLalsrabvonec16"
>
...
...
@@ -630,7 +630,7 @@
name=
"Test4"
locfile=
"../bitvector.why"
loclnum=
"404"
loccnumb=
"7"
loccnume=
"12"
sum=
"
9ef83fc8bd0ef876d45927307922d452
"
sum=
"
bd82afc691fafd8f1b116f64d5ea1705
"
proved=
"true"
expanded=
"false"
shape=
"ainfix =anthV0c15aTrueLaasrabvonec16"
>
...
...
@@ -671,7 +671,7 @@
name=
"Test5"
locfile=
"../bitvector.why"
loclnum=
"407"
loccnumb=
"7"
loccnume=
"12"
sum=
"
cdf3bf7e9f39025f2891b2233413aec8
"
sum=
"
185d4fba8e50a6d0595472fd5970eaab
"
proved=
"true"
expanded=
"false"
shape=
"ainfix =anthV0c16aTrueLaasrabvonec16"
>
...
...
@@ -712,7 +712,7 @@
name=
"Test6"
locfile=
"../bitvector.why"
loclnum=
"410"
loccnumb=
"7"
loccnume=
"12"
sum=
"
0663963c9010b5439cd2e529cb8de353
"
sum=
"
3a1498967809fb3e11708c7ad4ab2a6e
"
proved=
"true"
expanded=
"false"
shape=
"ainfix =anthV0c16aFalseLaasralsrabvonec1c16"
>
...
...
@@ -754,14 +754,14 @@
memlimit=
"1000"
obsolete=
"false"
archived=
"false"
>
<result
status=
"valid"
time=
"
2.90
"
/>
<result
status=
"valid"
time=
"
3.04
"
/>
</proof>
</goal>
<goal
name=
"to_nat_0x00000000"
locfile=
"../bitvector.why"
loclnum=
"413"
loccnumb=
"7"
loccnume=
"24"
sum=
"
3127b3aaf828caf816a440295d104393
"
sum=
"
803826b9cd875f129ef107524ef2202a
"
proved=
"true"
expanded=
"false"
shape=
"ainfix =ato_natabvzeroc0"
>
...
...
@@ -802,7 +802,7 @@
name=
"to_nat_0x00000001"
locfile=
"../bitvector.why"
loclnum=
"416"
loccnumb=
"7"
loccnume=
"24"
sum=
"
9fabb6b81bb81b9dfc97e6dd1eb6497f
"
sum=
"
8409f67c98f5413efb9dda2e01c3c375
"
proved=
"false"
expanded=
"false"
shape=
"ainfix =ato_natalsrabvonec31c1"
>
...
...
@@ -851,7 +851,7 @@
name=
"to_nat_0x00000003"
locfile=
"../bitvector.why"
loclnum=
"419"
loccnumb=
"7"
loccnume=
"24"
sum=
"a
98f41d5caf2b85
18
4
e0
01503d010580
"
sum=
"a
ee82e8d917
18e0
e59ac287645233c47
"
proved=
"false"
expanded=
"false"
shape=
"ainfix =ato_natalsrabvonec30c3"
>
...
...
@@ -900,7 +900,7 @@
name=
"to_nat_0x00000007"
locfile=
"../bitvector.why"
loclnum=
"422"
loccnumb=
"7"
loccnume=
"24"
sum=
"
13f9d3511b0bb6ff3a0ff133e52d433c
"
sum=
"
8cc2533375bd7cd57f78485ab3550893
"
proved=
"false"
expanded=
"false"
shape=
"ainfix =ato_natalsrabvonec29c7"
>
...
...
@@ -949,7 +949,7 @@
name=
"to_nat_0x0000000F"
locfile=
"../bitvector.why"
loclnum=
"425"
loccnumb=
"7"
loccnume=
"24"
sum=
"
45d21b277345cd94895efb381c7197a6
"
sum=
"
b115f65998ce0426db1e7bf49decd339
"
proved=
"false"
expanded=
"false"
shape=
"ainfix =ato_natalsrabvonec28c15"
>
...
...
@@ -998,7 +998,7 @@
name=
"to_nat_0x0000001F"
locfile=
"../bitvector.why"
loclnum=
"428"
loccnumb=
"7"
loccnume=
"24"
sum=
"
aa320738e8b487dfd59fddac44aa08a6
"
sum=
"
dd64b315c2f8560b7c4440739057fd6e
"
proved=
"false"
expanded=
"false"
shape=
"ainfix =ato_natalsrabvonec27c31"
>
...
...
@@ -1047,7 +1047,7 @@
name=
"to_nat_0x0000003F"
locfile=
"../bitvector.why"
loclnum=
"431"
loccnumb=
"7"
loccnume=
"24"
sum=
"
151a4483622f6aa48ef69e5492933dd0
"
sum=
"
5552b10f26a33762560c68361ec370bd
"
proved=
"false"
expanded=
"false"
shape=
"ainfix =ato_natalsrabvonec26c63"
>
...
...
@@ -1096,7 +1096,7 @@
name=
"to_nat_0x0000007F"
locfile=
"../bitvector.why"
loclnum=
"434"
loccnumb=
"7"
loccnume=
"24"
sum=
"3
36257515560c2564c97502f5726f16e
"
sum=
"3
7e916216d0bf82789c202ee41634874
"
proved=
"false"
expanded=
"false"
shape=
"ainfix =ato_natalsrabvonec25c127"
>
...
...
@@ -1145,7 +1145,7 @@
name=
"to_nat_0x000000FF"
locfile=
"../bitvector.why"
loclnum=
"437"
loccnumb=
"7"
loccnume=
"24"
sum=
"
d1902123ff9af3e171ada775d0561f66
"
sum=
"
04ec546115851c2ab84fe3ca928a01c3
"
proved=
"false"
expanded=
"false"
shape=
"ainfix =ato_natalsrabvonec24c255"
>
...
...
@@ -1194,7 +1194,7 @@
name=
"to_nat_0x000001FF"
locfile=
"../bitvector.why"
loclnum=
"440"
loccnumb=
"7"
loccnume=
"24"
sum=
"
20fc6f8dad0224a2705136a81921466
3"
sum=
"
4ecceea1be83b4b48cb6e839f4d381e
3"
proved=
"false"
expanded=
"false"
shape=
"ainfix =ato_natalsrabvonec23c511"
>
...
...
@@ -1243,7 +1243,7 @@
name=
"to_nat_0x000003FF"
locfile=
"../bitvector.why"
loclnum=
"443"
loccnumb=
"7"
loccnume=
"24"
sum=
"
17b5d1cf39fe3b9f61fd5acfcbcf1b82
"
sum=
"
6a69ba7192d6714f504eae3ed0da99de
"
proved=
"false"
expanded=
"false"
shape=
"ainfix =ato_natalsrabvonec22c1023"
>
...
...
@@ -1292,7 +1292,7 @@
name=
"to_nat_0x000007FF"
locfile=
"../bitvector.why"
loclnum=
"446"
loccnumb=
"7"
loccnume=
"24"
sum=
"
e29a36c0cf1a8439d1dfc877133f1520
"
sum=
"
83a9c9fd5ceb917c0699622503303174
"
proved=
"false"
expanded=
"false"
shape=
"ainfix =ato_natalsrabvonec21c2047"
>
...
...
@@ -1341,7 +1341,7 @@
name=
"to_nat_0x00000FFF"
locfile=
"../bitvector.why"
loclnum=
"449"
loccnumb=
"7"
loccnume=
"24"
sum=
"
0439d8da3a58c4c6d337e32453a1bd0
a"
sum=
"
3977724677b0af752ef35529b5252ac
a"
proved=
"false"
expanded=
"false"
shape=
"ainfix =ato_natalsrabvonec20c4095"
>
...
...
@@ -1390,7 +1390,7 @@
name=
"to_nat_0x00001FFF"
locfile=
"../bitvector.why"
loclnum=
"452"
loccnumb=
"7"
loccnume=
"24"
sum=
"
038446ef19582f67071ad9c4c305da65
"
sum=
"
d1f20abe507fe583a8dc8ee6b7ddd566
"
proved=
"false"
expanded=
"false"
shape=
"ainfix =ato_natalsrabvonec19c8191"
>
...
...
@@ -1439,7 +1439,7 @@
name=
"to_nat_0x00003FFF"
locfile=
"../bitvector.why"
loclnum=
"455"
loccnumb=
"7"
loccnume=
"24"
sum=
"
b352afa361828d71a99a1dc714aebc81
"
sum=
"
9fd1e80edfbc2665c31e518bb150b047
"
proved=
"false"
expanded=
"false"
shape=
"ainfix =ato_natalsrabvonec18c16383"
>
...
...
@@ -1488,7 +1488,7 @@
name=
"to_nat_0x00007FFF"
locfile=
"../bitvector.why"
loclnum=
"458"
loccnumb=
"7"
loccnume=
"24"
sum=
"
4f4e1f7551761a63ace2bfe04eb4ab4a
"
sum=
"
b997102c577a52cbdbb9853769d637f4
"
proved=
"false"
expanded=
"false"
shape=
"ainfix =ato_natalsrabvonec17c32767"
>
...
...
@@ -1537,7 +1537,7 @@
name=
"to_nat_0x0000FFFF"
locfile=
"../bitvector.why"
loclnum=
"461"
loccnumb=
"7"
loccnume=
"24"
sum=
"
cddaf42a37a0f54caff9937ae44cc3be
"
sum=
"
eb4d740251ec61c073f8654e5f67e665
"
proved=
"false"
expanded=
"false"
shape=
"ainfix =ato_natalsrabvonec16c65535"
>
...
...
@@ -1586,7 +1586,7 @@
name=
"to_nat_0x0001FFFF"
locfile=
"../bitvector.why"
loclnum=
"469"
loccnumb=
"7"
loccnume=
"24"
sum=
"
e7efa1cefc9d81eb2e29e3c63cd79313
"
sum=
"
0d426282c162ed890106df371cc0b345
"
proved=
"false"
expanded=
"false"
shape=
"ainfix =ato_natalsrabvonec15c131071"
>
...
...
@@ -1635,7 +1635,7 @@
name=
"to_nat_0x0003FFFF"
locfile=
"../bitvector.why"
loclnum=
"472"
loccnumb=
"7"
loccnume=
"24"
sum=
"
d63a9f0dfff91292c36c225969c0c11e
"
</
