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Why3
why3
Commits
24fc5f16
Commit
24fc5f16
authored
11 years ago
by
Léon Gondelman
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new example for balance
parent
37162168
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2 changed files
examples/balance.mlw
+64
-0
64 additions, 0 deletions
examples/balance.mlw
examples/balance/why3session.xml
+210
-31
210 additions, 31 deletions
examples/balance/why3session.xml
with
274 additions
and
31 deletions
examples/balance.mlw
+
64
−
0
View file @
24fc5f16
...
@@ -50,3 +50,67 @@ module Balance
...
@@ -50,3 +50,67 @@ module Balance
if balls[6] < balls[7] then 6 else 7
if balls[6] < balls[7] then 6 else 7
end
end
module Balance12
use import int.Int
use import array.Array
(* All values in balls[lo..hi[ are equal to [w], apart from balls[lb]
which is of a different weight (lighter or heavier) . *)
predicate spec (balls: array int) (lo hi j: int) (w: int) (b: bool) =
0 <= lo <= j < hi <= length balls &&
(forall i: int. lo <= i < hi -> i <> j -> balls[i] = w) &&
(if b then balls[j] < w else balls[j] > w)
(* j : the index of the different ball,
b : the status (lighter or heavier) of the different ball
False True meaning heavier and True meaining lighter *)
let solve12 (balls: array int) (ghost w j: int) (ghost b: bool) : (int, bool)
requires { spec balls 0 12 j w b }
ensures { result = (j, b) }
=
if balls[0] + balls[1] + balls[2] + balls[3] =
balls[4] + balls[5] + balls[6] + balls[7]
then
if balls[0] + balls[8] = balls[9] + balls[10]
then
if balls[0] < balls[11]
then (11, False)
else (11, True)
else if balls[0] + balls[8] < balls[9] + balls[10]
then
if balls[9] = balls[10] then (8, True)
else if balls[9] < balls[10] then (10, False) else (9, False)
else
if balls[9] = balls[10] then (8, False)
else if balls[9] < balls[10] then (9, True) else (10, True)
else if balls[0] + balls[1] + balls[2] + balls[3] <
balls[4] + balls[5] + balls[6] + balls[7]
then
if balls[0] + balls[1] + balls[4] = balls[2] + balls[5] + balls[8]
then
if balls[6] = balls[7] then (3, True)
else if balls[6] < balls[7] then (7, False) else (6, False)
else if balls[0] + balls[1] + balls[4] < balls[2] + balls[5] + balls[8]
then
if balls[0] = balls[1] then (5, False)
else if balls[0] < balls[1] then (0, True) else (1, True)
else
if balls[4] = balls[8] then (2, True) else (4, False)
else
if balls[0] + balls[1] + balls[4] = balls[2] + balls[5] + balls[8]
then
if balls[6] = balls[7] then (3, False)
else if balls[6] < balls[7] then (6, True) else (7, True)
else if balls[0] + balls[1] + balls[4] < balls[2] + balls[5] + balls[8]
then
if balls[2] = balls[5] then (4, True )
else if balls[2] < balls[5] then (5, False) else (2, False)
else
if balls[0] = balls[1] then (5, True) else
if balls[0] < balls[1] then (1, False) else (0, False)
end
\ No newline at end of file
This diff is collapsed.
Click to expand it.
examples/balance/why3session.xml
+
210
−
31
View file @
24fc5f16
...
@@ -5,6 +5,14 @@
...
@@ -5,6 +5,14 @@
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...
@@ -20,7 +28,7 @@
...
@@ -20,7 +28,7 @@
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>
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</proof>
</goal>
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name=
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>
...
@@ -55,7 +71,7 @@
...
@@ -55,7 +71,7 @@
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"../balance.mlw"
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"39"
loccnumb=
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loccnume=
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loclnum=
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loccnume=
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b"
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...
@@ -65,17 +81,25 @@
...
@@ -65,17 +81,25 @@
prover=
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>
<result
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/>
</proof>
</proof>
<proof
prover=
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timelimit=
"5"
memlimit=
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obsolete=
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archived=
"false"
>
<result
status=
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time=
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/>
</proof>
</goal>
</goal>
<goal
<goal
name=
"WP_parameter solve8.2"
name=
"WP_parameter solve8.2"
locfile=
"../balance.mlw"
locfile=
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loclnum=
"39"
loccnumb=
"6"
loccnume=
"12"
loclnum=
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loccnumb=
"6"
loccnume=
"12"
expl=
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expl=
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>
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...
@@ -85,6 +109,14 @@
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@@ -85,6 +109,14 @@
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</proof>
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timelimit=
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>
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...
@@ -95,7 +127,7 @@
...
@@ -95,7 +127,7 @@
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...
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@@ -105,6 +137,14 @@
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...
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</proof>
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...
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archived=
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>
<result
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</proof>
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sum=
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>
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>
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@@ -165,6 +221,14 @@
...
@@ -165,6 +221,14 @@
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obsolete=
"true"
archived=
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>
<result
status=
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time=
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/>
</proof>
<proof
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"1"
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memlimit=
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/>
<result
status=
"valid"
time=
"0.00"
/>
...
@@ -175,7 +239,7 @@
...
@@ -175,7 +239,7 @@
locfile=
"../balance.mlw"
locfile=
"../balance.mlw"
loclnum=
"39"
loccnumb=
"6"
loccnume=
"12"
loclnum=
"39"
loccnumb=
"6"
loccnume=
"12"
expl=
"7. precondition"
expl=
"7. precondition"
sum=
"
013f897984932d02e06a771270dc3d1f
"
sum=
"
34f24aec5759081fee36b1644c8429a2
"
proved=
"true"
proved=
"true"
expanded=
"false"
expanded=
"false"
shape=
"preconditionaspecV4c0ainfix +c0c3V2V3Iainfix <ainfix +ainfix +agetV1c0agetV1c1agetV1c2ainfix +ainfix +agetV1c3agetV1c4agetV1c5Iainfix <c0V0Aainfix <=c0c0Iainfix <c1V0Aainfix <=c0c1Iainfix <c2V0Aainfix <=c0c2Iainfix <c3V0Aainfix <=c0c3Iainfix <c4V0Aainfix <=c0c4Iainfix <c5V0Aainfix <=c0c5IaspecV4c0c8V2V3Aainfix <=c0V0Lamk arrayV0V1F"
>
shape=
"preconditionaspecV4c0ainfix +c0c3V2V3Iainfix <ainfix +ainfix +agetV1c0agetV1c1agetV1c2ainfix +ainfix +agetV1c3agetV1c4agetV1c5Iainfix <c0V0Aainfix <=c0c0Iainfix <c1V0Aainfix <=c0c1Iainfix <c2V0Aainfix <=c0c2Iainfix <c3V0Aainfix <=c0c3Iainfix <c4V0Aainfix <=c0c4Iainfix <c5V0Aainfix <=c0c5IaspecV4c0c8V2V3Aainfix <=c0V0Lamk arrayV0V1F"
>
...
@@ -185,17 +249,25 @@
...
@@ -185,17 +249,25 @@
prover=
"0"
prover=
"0"
timelimit=
"10"
timelimit=
"10"
memlimit=
"1000"
memlimit=
"1000"
obsolete=
"
fals
e"
obsolete=
"
tru
e"
archived=
"false"
>
archived=
"false"
>
<result
status=
"valid"
time=
"0.03"
/>
<result
status=
"valid"
time=
"0.03"
/>
</proof>
</proof>
<proof
prover=
"1"
timelimit=
"5"
memlimit=
"1000"
obsolete=
"false"
archived=
"false"
>
<result
status=
"valid"
time=
"0.05"
/>
</proof>
</goal>
</goal>
<goal
<goal
name=
"WP_parameter solve8.8"
name=
"WP_parameter solve8.8"
locfile=
"../balance.mlw"
locfile=
"../balance.mlw"
loclnum=
"39"
loccnumb=
"6"
loccnume=
"12"
loclnum=
"39"
loccnumb=
"6"
loccnume=
"12"
expl=
"8. index in array bounds"
expl=
"8. index in array bounds"
sum=
"
1ceb9b706381e5de75351694ecf8dbe0
"
sum=
"
88e96f60b490680d6c249a30486ace46
"
proved=
"true"
proved=
"true"
expanded=
"false"
expanded=
"false"
shape=
"index in array boundsainfix <c5V0Aainfix <=c0c5INainfix <ainfix +ainfix +agetV1c0agetV1c1agetV1c2ainfix +ainfix +agetV1c3agetV1c4agetV1c5Iainfix <c0V0Aainfix <=c0c0Iainfix <c1V0Aainfix <=c0c1Iainfix <c2V0Aainfix <=c0c2Iainfix <c3V0Aainfix <=c0c3Iainfix <c4V0Aainfix <=c0c4Iainfix <c5V0Aainfix <=c0c5IaspecV4c0c8V2V3Aainfix <=c0V0Lamk arrayV0V1F"
>
shape=
"index in array boundsainfix <c5V0Aainfix <=c0c5INainfix <ainfix +ainfix +agetV1c0agetV1c1agetV1c2ainfix +ainfix +agetV1c3agetV1c4agetV1c5Iainfix <c0V0Aainfix <=c0c0Iainfix <c1V0Aainfix <=c0c1Iainfix <c2V0Aainfix <=c0c2Iainfix <c3V0Aainfix <=c0c3Iainfix <c4V0Aainfix <=c0c4Iainfix <c5V0Aainfix <=c0c5IaspecV4c0c8V2V3Aainfix <=c0V0Lamk arrayV0V1F"
>
...
@@ -205,17 +277,25 @@
...
@@ -205,17 +277,25 @@
prover=
"0"
prover=
"0"
timelimit=
"10"
timelimit=
"10"
memlimit=
"1000"
memlimit=
"1000"
obsolete=
"
fals
e"
obsolete=
"
tru
e"
archived=
"false"
>
archived=
"false"
>
<result
status=
"valid"
time=
"0.02"
/>
<result
status=
"valid"
time=
"0.02"
/>
</proof>
</proof>
<proof
prover=
"1"
timelimit=
"5"
memlimit=
"1000"
obsolete=
"false"
archived=
"false"
>
<result
status=
"valid"
time=
"0.01"
/>
</proof>
</goal>
</goal>
<goal
<goal
name=
"WP_parameter solve8.9"
name=
"WP_parameter solve8.9"
locfile=
"../balance.mlw"
locfile=
"../balance.mlw"
loclnum=
"39"
loccnumb=
"6"
loccnume=
"12"
loclnum=
"39"
loccnumb=
"6"
loccnume=
"12"
expl=
"9. index in array bounds"
expl=
"9. index in array bounds"
sum=
"
b0aa1e8c453fb14a0c496427fe72c261
"
sum=
"
ac6ac6f1a460a5f86a3f2adf3ac50014
"
proved=
"true"
proved=
"true"
expanded=
"false"
expanded=
"false"
shape=
"index in array boundsainfix <c4V0Aainfix <=c0c4Iainfix <c5V0Aainfix <=c0c5INainfix <ainfix +ainfix +agetV1c0agetV1c1agetV1c2ainfix +ainfix +agetV1c3agetV1c4agetV1c5Iainfix <c0V0Aainfix <=c0c0Iainfix <c1V0Aainfix <=c0c1Iainfix <c2V0Aainfix <=c0c2Iainfix <c3V0Aainfix <=c0c3Iainfix <c4V0Aainfix <=c0c4Iainfix <c5V0Aainfix <=c0c5IaspecV4c0c8V2V3Aainfix <=c0V0Lamk arrayV0V1F"
>
shape=
"index in array boundsainfix <c4V0Aainfix <=c0c4Iainfix <c5V0Aainfix <=c0c5INainfix <ainfix +ainfix +agetV1c0agetV1c1agetV1c2ainfix +ainfix +agetV1c3agetV1c4agetV1c5Iainfix <c0V0Aainfix <=c0c0Iainfix <c1V0Aainfix <=c0c1Iainfix <c2V0Aainfix <=c0c2Iainfix <c3V0Aainfix <=c0c3Iainfix <c4V0Aainfix <=c0c4Iainfix <c5V0Aainfix <=c0c5IaspecV4c0c8V2V3Aainfix <=c0V0Lamk arrayV0V1F"
>
...
@@ -225,17 +305,25 @@
...
@@ -225,17 +305,25 @@
prover=
"0"
prover=
"0"
timelimit=
"10"
timelimit=
"10"
memlimit=
"1000"
memlimit=
"1000"
obsolete=
"
fals
e"
obsolete=
"
tru
e"
archived=
"false"
>
archived=
"false"
>
<result
status=
"valid"
time=
"0.01"
/>
<result
status=
"valid"
time=
"0.01"
/>
</proof>
</proof>
<proof
prover=
"1"
timelimit=
"5"
memlimit=
"1000"
obsolete=
"false"
archived=
"false"
>
<result
status=
"valid"
time=
"0.02"
/>
</proof>
</goal>
</goal>
<goal
<goal
name=
"WP_parameter solve8.10"
name=
"WP_parameter solve8.10"
locfile=
"../balance.mlw"
locfile=
"../balance.mlw"
loclnum=
"39"
loccnumb=
"6"
loccnume=
"12"
loclnum=
"39"
loccnumb=
"6"
loccnume=
"12"
expl=
"10. index in array bounds"
expl=
"10. index in array bounds"
sum=
"
4d642559ec83039923a2496f4e23c8dd
"
sum=
"
09e57bdf69b9d7e778bfcbec3f7b54eb
"
proved=
"true"
proved=
"true"
expanded=
"false"
expanded=
"false"
shape=
"index in array boundsainfix <c3V0Aainfix <=c0c3Iainfix <c4V0Aainfix <=c0c4Iainfix <c5V0Aainfix <=c0c5INainfix <ainfix +ainfix +agetV1c0agetV1c1agetV1c2ainfix +ainfix +agetV1c3agetV1c4agetV1c5Iainfix <c0V0Aainfix <=c0c0Iainfix <c1V0Aainfix <=c0c1Iainfix <c2V0Aainfix <=c0c2Iainfix <c3V0Aainfix <=c0c3Iainfix <c4V0Aainfix <=c0c4Iainfix <c5V0Aainfix <=c0c5IaspecV4c0c8V2V3Aainfix <=c0V0Lamk arrayV0V1F"
>
shape=
"index in array boundsainfix <c3V0Aainfix <=c0c3Iainfix <c4V0Aainfix <=c0c4Iainfix <c5V0Aainfix <=c0c5INainfix <ainfix +ainfix +agetV1c0agetV1c1agetV1c2ainfix +ainfix +agetV1c3agetV1c4agetV1c5Iainfix <c0V0Aainfix <=c0c0Iainfix <c1V0Aainfix <=c0c1Iainfix <c2V0Aainfix <=c0c2Iainfix <c3V0Aainfix <=c0c3Iainfix <c4V0Aainfix <=c0c4Iainfix <c5V0Aainfix <=c0c5IaspecV4c0c8V2V3Aainfix <=c0V0Lamk arrayV0V1F"
>
...
@@ -245,17 +333,25 @@
...
@@ -245,17 +333,25 @@
prover=
"0"
prover=
"0"
timelimit=
"10"
timelimit=
"10"
memlimit=
"1000"
memlimit=
"1000"
obsolete=
"
fals
e"
obsolete=
"
tru
e"
archived=
"false"
>
archived=
"false"
>
<result
status=
"valid"
time=
"0.00"
/>
<result
status=
"valid"
time=
"0.00"
/>
</proof>
</proof>
<proof
prover=
"1"
timelimit=
"5"
memlimit=
"1000"
obsolete=
"false"
archived=
"false"
>
<result
status=
"valid"
time=
"0.01"
/>
</proof>
</goal>
</goal>
<goal
<goal
name=
"WP_parameter solve8.11"
name=
"WP_parameter solve8.11"
locfile=
"../balance.mlw"
locfile=
"../balance.mlw"
loclnum=
"39"
loccnumb=
"6"
loccnume=
"12"
loclnum=
"39"
loccnumb=
"6"
loccnume=
"12"
expl=
"11. index in array bounds"
expl=
"11. index in array bounds"
sum=
"
ccc3323c04090655cab8a1ff7873574b
"
sum=
"
38b655ba3c73a177cfbf78b8baa6082a
"
proved=
"true"
proved=
"true"
expanded=
"false"
expanded=
"false"
shape=
"index in array boundsainfix <c2V0Aainfix <=c0c2Iainfix <c3V0Aainfix <=c0c3Iainfix <c4V0Aainfix <=c0c4Iainfix <c5V0Aainfix <=c0c5INainfix <ainfix +ainfix +agetV1c0agetV1c1agetV1c2ainfix +ainfix +agetV1c3agetV1c4agetV1c5Iainfix <c0V0Aainfix <=c0c0Iainfix <c1V0Aainfix <=c0c1Iainfix <c2V0Aainfix <=c0c2Iainfix <c3V0Aainfix <=c0c3Iainfix <c4V0Aainfix <=c0c4Iainfix <c5V0Aainfix <=c0c5IaspecV4c0c8V2V3Aainfix <=c0V0Lamk arrayV0V1F"
>
shape=
"index in array boundsainfix <c2V0Aainfix <=c0c2Iainfix <c3V0Aainfix <=c0c3Iainfix <c4V0Aainfix <=c0c4Iainfix <c5V0Aainfix <=c0c5INainfix <ainfix +ainfix +agetV1c0agetV1c1agetV1c2ainfix +ainfix +agetV1c3agetV1c4agetV1c5Iainfix <c0V0Aainfix <=c0c0Iainfix <c1V0Aainfix <=c0c1Iainfix <c2V0Aainfix <=c0c2Iainfix <c3V0Aainfix <=c0c3Iainfix <c4V0Aainfix <=c0c4Iainfix <c5V0Aainfix <=c0c5IaspecV4c0c8V2V3Aainfix <=c0V0Lamk arrayV0V1F"
>
...
@@ -265,17 +361,25 @@
...
@@ -265,17 +361,25 @@
prover=
"0"
prover=
"0"
timelimit=
"10"
timelimit=
"10"
memlimit=
"1000"
memlimit=
"1000"
obsolete=
"
fals
e"
obsolete=
"
tru
e"
archived=
"false"
>
archived=
"false"
>
<result
status=
"valid"
time=
"0.01"
/>
<result
status=
"valid"
time=
"0.01"
/>
</proof>
</proof>
<proof
prover=
"1"
timelimit=
"5"
memlimit=
"1000"
obsolete=
"false"
archived=
"false"
>
<result
status=
"valid"
time=
"0.02"
/>
</proof>
</goal>
</goal>
<goal
<goal
name=
"WP_parameter solve8.12"
name=
"WP_parameter solve8.12"
locfile=
"../balance.mlw"
locfile=
"../balance.mlw"
loclnum=
"39"
loccnumb=
"6"
loccnume=
"12"
loclnum=
"39"
loccnumb=
"6"
loccnume=
"12"
expl=
"12. index in array bounds"
expl=
"12. index in array bounds"
sum=
"
2408d061a0b1ecd4c87f16d7e41725ae
"
sum=
"
6d2c10b66c462a0d9b0f19a794da2a87
"
proved=
"true"
proved=
"true"
expanded=
"false"
expanded=
"false"
shape=
"index in array boundsainfix <c1V0Aainfix <=c0c1Iainfix <c2V0Aainfix <=c0c2Iainfix <c3V0Aainfix <=c0c3Iainfix <c4V0Aainfix <=c0c4Iainfix <c5V0Aainfix <=c0c5INainfix <ainfix +ainfix +agetV1c0agetV1c1agetV1c2ainfix +ainfix +agetV1c3agetV1c4agetV1c5Iainfix <c0V0Aainfix <=c0c0Iainfix <c1V0Aainfix <=c0c1Iainfix <c2V0Aainfix <=c0c2Iainfix <c3V0Aainfix <=c0c3Iainfix <c4V0Aainfix <=c0c4Iainfix <c5V0Aainfix <=c0c5IaspecV4c0c8V2V3Aainfix <=c0V0Lamk arrayV0V1F"
>
shape=
"index in array boundsainfix <c1V0Aainfix <=c0c1Iainfix <c2V0Aainfix <=c0c2Iainfix <c3V0Aainfix <=c0c3Iainfix <c4V0Aainfix <=c0c4Iainfix <c5V0Aainfix <=c0c5INainfix <ainfix +ainfix +agetV1c0agetV1c1agetV1c2ainfix +ainfix +agetV1c3agetV1c4agetV1c5Iainfix <c0V0Aainfix <=c0c0Iainfix <c1V0Aainfix <=c0c1Iainfix <c2V0Aainfix <=c0c2Iainfix <c3V0Aainfix <=c0c3Iainfix <c4V0Aainfix <=c0c4Iainfix <c5V0Aainfix <=c0c5IaspecV4c0c8V2V3Aainfix <=c0V0Lamk arrayV0V1F"
>
...
@@ -285,6 +389,14 @@
...
@@ -285,6 +389,14 @@
prover=
"0"
prover=
"0"
timelimit=
"10"
timelimit=
"10"
memlimit=
"1000"
memlimit=
"1000"
obsolete=
"true"
archived=
"false"
>
<result
status=
"valid"
time=
"0.02"
/>
</proof>
<proof
prover=
"1"
timelimit=
"5"
memlimit=
"1000"
obsolete=
"false"
obsolete=
"false"
archived=
"false"
>
archived=
"false"
>
<result
status=
"valid"
time=
"0.02"
/>
<result
status=
"valid"
time=
"0.02"
/>
...
@@ -295,7 +407,7 @@
...
@@ -295,7 +407,7 @@
locfile=
"../balance.mlw"
locfile=
"../balance.mlw"
loclnum=
"39"
loccnumb=
"6"
loccnume=
"12"
loclnum=
"39"
loccnumb=
"6"
loccnume=
"12"
expl=
"13. index in array bounds"
expl=
"13. index in array bounds"
sum=
"
690c698a413c66bc1693b12cb66955c7
"
sum=
"
b47140fc58b644b4ac9d5b7679aee6f6
"
proved=
"true"
proved=
"true"
expanded=
"false"
expanded=
"false"
shape=
"index in array boundsainfix <c0V0Aainfix <=c0c0Iainfix <c1V0Aainfix <=c0c1Iainfix <c2V0Aainfix <=c0c2Iainfix <c3V0Aainfix <=c0c3Iainfix <c4V0Aainfix <=c0c4Iainfix <c5V0Aainfix <=c0c5INainfix <ainfix +ainfix +agetV1c0agetV1c1agetV1c2ainfix +ainfix +agetV1c3agetV1c4agetV1c5Iainfix <c0V0Aainfix <=c0c0Iainfix <c1V0Aainfix <=c0c1Iainfix <c2V0Aainfix <=c0c2Iainfix <c3V0Aainfix <=c0c3Iainfix <c4V0Aainfix <=c0c4Iainfix <c5V0Aainfix <=c0c5IaspecV4c0c8V2V3Aainfix <=c0V0Lamk arrayV0V1F"
>
shape=
"index in array boundsainfix <c0V0Aainfix <=c0c0Iainfix <c1V0Aainfix <=c0c1Iainfix <c2V0Aainfix <=c0c2Iainfix <c3V0Aainfix <=c0c3Iainfix <c4V0Aainfix <=c0c4Iainfix <c5V0Aainfix <=c0c5INainfix <ainfix +ainfix +agetV1c0agetV1c1agetV1c2ainfix +ainfix +agetV1c3agetV1c4agetV1c5Iainfix <c0V0Aainfix <=c0c0Iainfix <c1V0Aainfix <=c0c1Iainfix <c2V0Aainfix <=c0c2Iainfix <c3V0Aainfix <=c0c3Iainfix <c4V0Aainfix <=c0c4Iainfix <c5V0Aainfix <=c0c5IaspecV4c0c8V2V3Aainfix <=c0V0Lamk arrayV0V1F"
>
...
@@ -305,6 +417,14 @@
...
@@ -305,6 +417,14 @@
prover=
"0"
prover=
"0"
timelimit=
"10"
timelimit=
"10"
memlimit=
"1000"
memlimit=
"1000"
obsolete=
"true"
archived=
"false"
>
<result
status=
"valid"
time=
"0.01"
/>
</proof>
<proof
prover=
"1"
timelimit=
"5"
memlimit=
"1000"
obsolete=
"false"
obsolete=
"false"
archived=
"false"
>
archived=
"false"
>
<result
status=
"valid"
time=
"0.01"
/>
<result
status=
"valid"
time=
"0.01"
/>
...
@@ -315,7 +435,7 @@
...
@@ -315,7 +435,7 @@
locfile=
"../balance.mlw"
locfile=
"../balance.mlw"
loclnum=
"39"
loccnumb=
"6"
loccnume=
"12"
loclnum=
"39"
loccnumb=
"6"
loccnume=
"12"
expl=
"14. precondition"
expl=
"14. precondition"
sum=
"
2620171d7414e045b8365fbe66eb334
8"
sum=
"
b3b8375d53b28e76a2d3682683a3c89
8"
proved=
"true"
proved=
"true"
expanded=
"false"
expanded=
"false"
shape=
"preconditionaspecV4c3ainfix +c3c3V2V3Iainfix >ainfix +ainfix +agetV1c0agetV1c1agetV1c2ainfix +ainfix +agetV1c3agetV1c4agetV1c5Iainfix <c0V0Aainfix <=c0c0Iainfix <c1V0Aainfix <=c0c1Iainfix <c2V0Aainfix <=c0c2Iainfix <c3V0Aainfix <=c0c3Iainfix <c4V0Aainfix <=c0c4Iainfix <c5V0Aainfix <=c0c5INainfix <ainfix +ainfix +agetV1c0agetV1c1agetV1c2ainfix +ainfix +agetV1c3agetV1c4agetV1c5Iainfix <c0V0Aainfix <=c0c0Iainfix <c1V0Aainfix <=c0c1Iainfix <c2V0Aainfix <=c0c2Iainfix <c3V0Aainfix <=c0c3Iainfix <c4V0Aainfix <=c0c4Iainfix <c5V0Aainfix <=c0c5IaspecV4c0c8V2V3Aainfix <=c0V0Lamk arrayV0V1F"
>
shape=
"preconditionaspecV4c3ainfix +c3c3V2V3Iainfix >ainfix +ainfix +agetV1c0agetV1c1agetV1c2ainfix +ainfix +agetV1c3agetV1c4agetV1c5Iainfix <c0V0Aainfix <=c0c0Iainfix <c1V0Aainfix <=c0c1Iainfix <c2V0Aainfix <=c0c2Iainfix <c3V0Aainfix <=c0c3Iainfix <c4V0Aainfix <=c0c4Iainfix <c5V0Aainfix <=c0c5INainfix <ainfix +ainfix +agetV1c0agetV1c1agetV1c2ainfix +ainfix +agetV1c3agetV1c4agetV1c5Iainfix <c0V0Aainfix <=c0c0Iainfix <c1V0Aainfix <=c0c1Iainfix <c2V0Aainfix <=c0c2Iainfix <c3V0Aainfix <=c0c3Iainfix <c4V0Aainfix <=c0c4Iainfix <c5V0Aainfix <=c0c5IaspecV4c0c8V2V3Aainfix <=c0V0Lamk arrayV0V1F"
>
...
@@ -325,17 +445,25 @@
...
@@ -325,17 +445,25 @@
prover=
"0"
prover=
"0"
timelimit=
"10"
timelimit=
"10"
memlimit=
"1000"
memlimit=
"1000"
obsolete=
"
fals
e"
obsolete=
"
tru
e"
archived=
"false"
>
archived=
"false"
>
<result
status=
"valid"
time=
"0.04"
/>
<result
status=
"valid"
time=
"0.04"
/>
</proof>
</proof>
<proof
prover=
"1"
timelimit=
"5"
memlimit=
"1000"
obsolete=
"false"
archived=
"false"
>
<result
status=
"valid"
time=
"0.10"
/>
</proof>
</goal>
</goal>
<goal
<goal
name=
"WP_parameter solve8.15"
name=
"WP_parameter solve8.15"
locfile=
"../balance.mlw"
locfile=
"../balance.mlw"
loclnum=
"39"
loccnumb=
"6"
loccnume=
"12"
loclnum=
"39"
loccnumb=
"6"
loccnume=
"12"
expl=
"15. index in array bounds"
expl=
"15. index in array bounds"
sum=
"
d9200f7b3d36b8483637f1183b33120
6"
sum=
"
831d05791c705cdc721163d39eecd41
6"
proved=
"true"
proved=
"true"
expanded=
"false"
expanded=
"false"
shape=
"index in array boundsainfix <c7V0Aainfix <=c0c7INainfix >ainfix +ainfix +agetV1c0agetV1c1agetV1c2ainfix +ainfix +agetV1c3agetV1c4agetV1c5Iainfix <c0V0Aainfix <=c0c0Iainfix <c1V0Aainfix <=c0c1Iainfix <c2V0Aainfix <=c0c2Iainfix <c3V0Aainfix <=c0c3Iainfix <c4V0Aainfix <=c0c4Iainfix <c5V0Aainfix <=c0c5INainfix <ainfix +ainfix +agetV1c0agetV1c1agetV1c2ainfix +ainfix +agetV1c3agetV1c4agetV1c5Iainfix <c0V0Aainfix <=c0c0Iainfix <c1V0Aainfix <=c0c1Iainfix <c2V0Aainfix <=c0c2Iainfix <c3V0Aainfix <=c0c3Iainfix <c4V0Aainfix <=c0c4Iainfix <c5V0Aainfix <=c0c5IaspecV4c0c8V2V3Aainfix <=c0V0Lamk arrayV0V1F"
>
shape=
"index in array boundsainfix <c7V0Aainfix <=c0c7INainfix >ainfix +ainfix +agetV1c0agetV1c1agetV1c2ainfix +ainfix +agetV1c3agetV1c4agetV1c5Iainfix <c0V0Aainfix <=c0c0Iainfix <c1V0Aainfix <=c0c1Iainfix <c2V0Aainfix <=c0c2Iainfix <c3V0Aainfix <=c0c3Iainfix <c4V0Aainfix <=c0c4Iainfix <c5V0Aainfix <=c0c5INainfix <ainfix +ainfix +agetV1c0agetV1c1agetV1c2ainfix +ainfix +agetV1c3agetV1c4agetV1c5Iainfix <c0V0Aainfix <=c0c0Iainfix <c1V0Aainfix <=c0c1Iainfix <c2V0Aainfix <=c0c2Iainfix <c3V0Aainfix <=c0c3Iainfix <c4V0Aainfix <=c0c4Iainfix <c5V0Aainfix <=c0c5IaspecV4c0c8V2V3Aainfix <=c0V0Lamk arrayV0V1F"
>
...
@@ -345,17 +473,25 @@
...
@@ -345,17 +473,25 @@
prover=
"0"
prover=
"0"
timelimit=
"10"
timelimit=
"10"
memlimit=
"1000"
memlimit=
"1000"
obsolete=
"
fals
e"
obsolete=
"
tru
e"
archived=
"false"
>
archived=
"false"
>
<result
status=
"valid"
time=
"0.01"
/>
<result
status=
"valid"
time=
"0.01"
/>
</proof>
</proof>
<proof
prover=
"1"
timelimit=
"5"
memlimit=
"1000"
obsolete=
"false"
archived=
"false"
>
<result
status=
"valid"
time=
"0.02"
/>
</proof>
</goal>
</goal>
<goal
<goal
name=
"WP_parameter solve8.16"
name=
"WP_parameter solve8.16"
locfile=
"../balance.mlw"
locfile=
"../balance.mlw"
loclnum=
"39"
loccnumb=
"6"
loccnume=
"12"
loclnum=
"39"
loccnumb=
"6"
loccnume=
"12"
expl=
"16. index in array bounds"
expl=
"16. index in array bounds"
sum=
"
2fa7c6a4347a6f7978963a52fc87741f
"
sum=
"
a62bd0cff55006d72867d31f0d27a80d
"
proved=
"true"
proved=
"true"
expanded=
"false"
expanded=
"false"
shape=
"index in array boundsainfix <c6V0Aainfix <=c0c6Iainfix <c7V0Aainfix <=c0c7INainfix >ainfix +ainfix +agetV1c0agetV1c1agetV1c2ainfix +ainfix +agetV1c3agetV1c4agetV1c5Iainfix <c0V0Aainfix <=c0c0Iainfix <c1V0Aainfix <=c0c1Iainfix <c2V0Aainfix <=c0c2Iainfix <c3V0Aainfix <=c0c3Iainfix <c4V0Aainfix <=c0c4Iainfix <c5V0Aainfix <=c0c5INainfix <ainfix +ainfix +agetV1c0agetV1c1agetV1c2ainfix +ainfix +agetV1c3agetV1c4agetV1c5Iainfix <c0V0Aainfix <=c0c0Iainfix <c1V0Aainfix <=c0c1Iainfix <c2V0Aainfix <=c0c2Iainfix <c3V0Aainfix <=c0c3Iainfix <c4V0Aainfix <=c0c4Iainfix <c5V0Aainfix <=c0c5IaspecV4c0c8V2V3Aainfix <=c0V0Lamk arrayV0V1F"
>
shape=
"index in array boundsainfix <c6V0Aainfix <=c0c6Iainfix <c7V0Aainfix <=c0c7INainfix >ainfix +ainfix +agetV1c0agetV1c1agetV1c2ainfix +ainfix +agetV1c3agetV1c4agetV1c5Iainfix <c0V0Aainfix <=c0c0Iainfix <c1V0Aainfix <=c0c1Iainfix <c2V0Aainfix <=c0c2Iainfix <c3V0Aainfix <=c0c3Iainfix <c4V0Aainfix <=c0c4Iainfix <c5V0Aainfix <=c0c5INainfix <ainfix +ainfix +agetV1c0agetV1c1agetV1c2ainfix +ainfix +agetV1c3agetV1c4agetV1c5Iainfix <c0V0Aainfix <=c0c0Iainfix <c1V0Aainfix <=c0c1Iainfix <c2V0Aainfix <=c0c2Iainfix <c3V0Aainfix <=c0c3Iainfix <c4V0Aainfix <=c0c4Iainfix <c5V0Aainfix <=c0c5IaspecV4c0c8V2V3Aainfix <=c0V0Lamk arrayV0V1F"
>
...
@@ -365,6 +501,14 @@
...
@@ -365,6 +501,14 @@
prover=
"0"
prover=
"0"
timelimit=
"10"
timelimit=
"10"
memlimit=
"1000"
memlimit=
"1000"
obsolete=
"true"
archived=
"false"
>
<result
status=
"valid"
time=
"0.01"
/>
</proof>
<proof
prover=
"1"
timelimit=
"5"
memlimit=
"1000"
obsolete=
"false"
obsolete=
"false"
archived=
"false"
>
archived=
"false"
>
<result
status=
"valid"
time=
"0.01"
/>
<result
status=
"valid"
time=
"0.01"
/>
...
@@ -375,9 +519,9 @@
...
@@ -375,9 +519,9 @@
locfile=
"../balance.mlw"
locfile=
"../balance.mlw"
loclnum=
"39"
loccnumb=
"6"
loccnume=
"12"
loclnum=
"39"
loccnumb=
"6"
loccnume=
"12"
expl=
"17. postcondition"
expl=
"17. postcondition"
sum=
"
a3b67d2c6ba952e455a09a5cdfe83011
"
sum=
"
2440fb80af7ec657e33026f1e85b604f
"
proved=
"true"
proved=
"true"
expanded=
"
tru
e"
expanded=
"
fals
e"
shape=
"postconditionainfix =ic7c6ainfix <agetV1c6agetV1c7V2Iainfix <c6V0Aainfix <=c0c6Iainfix <c7V0Aainfix <=c0c7INainfix >ainfix +ainfix +agetV1c0agetV1c1agetV1c2ainfix +ainfix +agetV1c3agetV1c4agetV1c5Iainfix <c0V0Aainfix <=c0c0Iainfix <c1V0Aainfix <=c0c1Iainfix <c2V0Aainfix <=c0c2Iainfix <c3V0Aainfix <=c0c3Iainfix <c4V0Aainfix <=c0c4Iainfix <c5V0Aainfix <=c0c5INainfix <ainfix +ainfix +agetV1c0agetV1c1agetV1c2ainfix +ainfix +agetV1c3agetV1c4agetV1c5Iainfix <c0V0Aainfix <=c0c0Iainfix <c1V0Aainfix <=c0c1Iainfix <c2V0Aainfix <=c0c2Iainfix <c3V0Aainfix <=c0c3Iainfix <c4V0Aainfix <=c0c4Iainfix <c5V0Aainfix <=c0c5IaspecV4c0c8V2V3Aainfix <=c0V0Lamk arrayV0V1F"
>
shape=
"postconditionainfix =ic7c6ainfix <agetV1c6agetV1c7V2Iainfix <c6V0Aainfix <=c0c6Iainfix <c7V0Aainfix <=c0c7INainfix >ainfix +ainfix +agetV1c0agetV1c1agetV1c2ainfix +ainfix +agetV1c3agetV1c4agetV1c5Iainfix <c0V0Aainfix <=c0c0Iainfix <c1V0Aainfix <=c0c1Iainfix <c2V0Aainfix <=c0c2Iainfix <c3V0Aainfix <=c0c3Iainfix <c4V0Aainfix <=c0c4Iainfix <c5V0Aainfix <=c0c5INainfix <ainfix +ainfix +agetV1c0agetV1c1agetV1c2ainfix +ainfix +agetV1c3agetV1c4agetV1c5Iainfix <c0V0Aainfix <=c0c0Iainfix <c1V0Aainfix <=c0c1Iainfix <c2V0Aainfix <=c0c2Iainfix <c3V0Aainfix <=c0c3Iainfix <c4V0Aainfix <=c0c4Iainfix <c5V0Aainfix <=c0c5IaspecV4c0c8V2V3Aainfix <=c0V0Lamk arrayV0V1F"
>
<label
<label
name=
"expl:VC for solve8"
/>
name=
"expl:VC for solve8"
/>
...
@@ -385,13 +529,48 @@
...
@@ -385,13 +529,48 @@
prover=
"0"
prover=
"0"
timelimit=
"10"
timelimit=
"10"
memlimit=
"1000"
memlimit=
"1000"
obsolete=
"
fals
e"
obsolete=
"
tru
e"
archived=
"false"
>
archived=
"false"
>
<result
status=
"valid"
time=
"0.20"
/>
<result
status=
"valid"
time=
"0.20"
/>
</proof>
</proof>
<proof
prover=
"1"
timelimit=
"5"
memlimit=
"1000"
obsolete=
"false"
archived=
"false"
>
<result
status=
"valid"
time=
"0.10"
/>
</proof>
</goal>
</goal>
</transf>
</transf>
</goal>
</goal>
</theory>
</theory>
<theory
name=
"Balance12"
locfile=
"../balance.mlw"
loclnum=
"56"
loccnumb=
"7"
loccnume=
"16"
verified=
"true"
expanded=
"true"
>
<goal
name=
"WP_parameter solve12"
locfile=
"../balance.mlw"
loclnum=
"71"
loccnumb=
"5"
loccnume=
"12"
expl=
"VC for solve12"
sum=
"a05df0918d7e59201dc1c3ff73fdefe8"
proved=
"true"
expanded=
"false"
shape=
"iiiiiiainfix =V4aFalseAainfix =V3c0ainfix =V4aFalseAainfix =V3c1ainfix <agetV1c0agetV1c1Aainfix <c0V0Aainfix <=c0c0Aainfix <c1V0Aainfix <=c0c1ainfix =aTrueV4Aainfix =c5V3ainfix =agetV1c0agetV1c1Aainfix <c0V0Aainfix <=c0c0Aainfix <c1V0Aainfix <=c0c1iiainfix =V4aFalseAainfix =V3c2ainfix =V4aFalseAainfix =V3c5ainfix <agetV1c2agetV1c5Aainfix <c2V0Aainfix <=c0c2Aainfix <c5V0Aainfix <=c0c5ainfix =aTrueV4Aainfix =c4V3ainfix =agetV1c2agetV1c5Aainfix <c2V0Aainfix <=c0c2Aainfix <c5V0Aainfix <=c0c5ainfix <ainfix +ainfix +agetV1c0agetV1c1agetV1c4ainfix +ainfix +agetV1c2agetV1c5agetV1c8Aainfix <c0V0Aainfix <=c0c0Aainfix <c1V0Aainfix <=c0c1Aainfix <c4V0Aainfix <=c0c4Aainfix <c2V0Aainfix <=c0c2Aainfix <c5V0Aainfix <=c0c5Aainfix <c8V0Aainfix <=c0c8iiainfix =V4aTrueAainfix =V3c7ainfix =V4aTrueAainfix =V3c6ainfix <agetV1c6agetV1c7Aainfix <c6V0Aainfix <=c0c6Aainfix <c7V0Aainfix <=c0c7ainfix =aFalseV4Aainfix =c3V3ainfix =agetV1c6agetV1c7Aainfix <c6V0Aainfix <=c0c6Aainfix <c7V0Aainfix <=c0c7ainfix =ainfix +ainfix +agetV1c0agetV1c1agetV1c4ainfix +ainfix +agetV1c2agetV1c5agetV1c8Aainfix <c0V0Aainfix <=c0c0Aainfix <c1V0Aainfix <=c0c1Aainfix <c4V0Aainfix <=c0c4Aainfix <c2V0Aainfix <=c0c2Aainfix <c5V0Aainfix <=c0c5Aainfix <c8V0Aainfix <=c0c8iiiainfix =V4aFalseAainfix =V3c4ainfix =V4aTrueAainfix =V3c2ainfix =agetV1c4agetV1c8Aainfix <c4V0Aainfix <=c0c4Aainfix <c8V0Aainfix <=c0c8iiainfix =V4aTrueAainfix =V3c1ainfix =V4aTrueAainfix =V3c0ainfix <agetV1c0agetV1c1Aainfix <c0V0Aainfix <=c0c0Aainfix <c1V0Aainfix <=c0c1ainfix =aFalseV4Aainfix =c5V3ainfix =agetV1c0agetV1c1Aainfix <c0V0Aainfix <=c0c0Aainfix <c1V0Aainfix <=c0c1ainfix <ainfix +ainfix +agetV1c0agetV1c1agetV1c4ainfix +ainfix +agetV1c2agetV1c5agetV1c8Aainfix <c0V0Aainfix <=c0c0Aainfix <c1V0Aainfix <=c0c1Aainfix <c4V0Aainfix <=c0c4Aainfix <c2V0Aainfix <=c0c2Aainfix <c5V0Aainfix <=c0c5Aainfix <c8V0Aainfix <=c0c8iiainfix =V4aFalseAainfix =V3c6ainfix =V4aFalseAainfix =V3c7ainfix <agetV1c6agetV1c7Aainfix <c6V0Aainfix <=c0c6Aainfix <c7V0Aainfix <=c0c7ainfix =aTrueV4Aainfix =c3V3ainfix =agetV1c6agetV1c7Aainfix <c6V0Aainfix <=c0c6Aainfix <c7V0Aainfix <=c0c7ainfix =ainfix +ainfix +agetV1c0agetV1c1agetV1c4ainfix +ainfix +agetV1c2agetV1c5agetV1c8Aainfix <c0V0Aainfix <=c0c0Aainfix <c1V0Aainfix <=c0c1Aainfix <c4V0Aainfix <=c0c4Aainfix <c2V0Aainfix <=c0c2Aainfix <c5V0Aainfix <=c0c5Aainfix <c8V0Aainfix <=c0c8ainfix <ainfix +ainfix +ainfix +agetV1c0agetV1c1agetV1c2agetV1c3ainfix +ainfix +ainfix +agetV1c4agetV1c5agetV1c6agetV1c7Aainfix <c0V0Aainfix <=c0c0Aainfix <c1V0Aainfix <=c0c1Aainfix <c2V0Aainfix <=c0c2Aainfix <c3V0Aainfix <=c0c3Aainfix <c4V0Aainfix <=c0c4Aainfix <c5V0Aainfix <=c0c5Aainfix <c6V0Aainfix <=c0c6Aainfix <c7V0Aainfix <=c0c7iiiiainfix =V4aTrueAainfix =V3c10ainfix =V4aTrueAainfix =V3c9ainfix <agetV1c9agetV1c10Aainfix <c9V0Aainfix <=c0c9Aainfix <c10V0Aainfix <=c0c10ainfix =aFalseV4Aainfix =c8V3ainfix =agetV1c9agetV1c10Aainfix <c9V0Aainfix <=c0c9Aainfix <c10V0Aainfix <=c0c10iiainfix =V4aFalseAainfix =V3c9ainfix =V4aFalseAainfix =V3c10ainfix <agetV1c9agetV1c10Aainfix <c9V0Aainfix <=c0c9Aainfix <c10V0Aainfix <=c0c10ainfix =aTrueV4Aainfix =c8V3ainfix =agetV1c9agetV1c10Aainfix <c9V0Aainfix <=c0c9Aainfix <c10V0Aainfix <=c0c10ainfix <ainfix +agetV1c0agetV1c8ainfix +agetV1c9agetV1c10Aainfix <c0V0Aainfix <=c0c0Aainfix <c8V0Aainfix <=c0c8Aainfix <c9V0Aainfix <=c0c9Aainfix <c10V0Aainfix <=c0c10iainfix =V4aTrueAainfix =V3c11ainfix =V4aFalseAainfix =V3c11ainfix <agetV1c0agetV1c11Aainfix <c0V0Aainfix <=c0c0Aainfix <c11V0Aainfix <=c0c11ainfix =ainfix +agetV1c0agetV1c8ainfix +agetV1c9agetV1c10Aainfix <c0V0Aainfix <=c0c0Aainfix <c8V0Aainfix <=c0c8Aainfix <c9V0Aainfix <=c0c9Aainfix <c10V0Aainfix <=c0c10ainfix =ainfix +ainfix +ainfix +agetV1c0agetV1c1agetV1c2agetV1c3ainfix +ainfix +ainfix +agetV1c4agetV1c5agetV1c6agetV1c7Aainfix <c0V0Aainfix <=c0c0Aainfix <c1V0Aainfix <=c0c1Aainfix <c2V0Aainfix <=c0c2Aainfix <c3V0Aainfix <=c0c3Aainfix <c4V0Aainfix <=c0c4Aainfix <c5V0Aainfix <=c0c5Aainfix <c6V0Aainfix <=c0c6Aainfix <c7V0Aainfix <=c0c7Iaspecamk arrayV0V1c0c12V3V2V4Aainfix <=c0V0F"
>
<label
name=
"expl:VC for solve12"
/>
<proof
prover=
"2"
timelimit=
"5"
memlimit=
"1000"
obsolete=
"false"
archived=
"false"
>
<result
status=
"valid"
time=
"1.10"
/>
</proof>
</goal>
</theory>
</file>
</file>
</why3session>
</why3session>
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