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Commit 2e14ec07 authored by Andrei Paskevich's avatar Andrei Paskevich
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spec modification in vacid_0_build_maze

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examples/vacid_0_build_maze.mlw
+ 58
− 59
View file @ 2e14ec07
theory UnionFind
theory UnionFind_pure
use import int.Int
type uf
type uf_pure
predicate repr uf int int
function size uf : int
function num uf : int
predicate repr uf_pure int int
function size uf_pure : int
function num uf_pure : int
axiom Repr_function_1:
forall u:uf, x:int.
forall u:uf_pure, x:int.
0 <= x < size u -> exists y:int. 0 <= y < size u /\ repr u x y
axiom Repr_function_2:
forall u:uf, x y z:int.
forall u:uf_pure, x y z:int.
0 <= x < size u -> repr u x y -> repr u x z -> y = z
predicate same (u:uf) (x y:int) =
forall r:int. repr u x r <-> repr u y r
predicate same (u:uf_pure) (x y:int) =
forall r:int. repr u x r <-> repr u y r
predicate same_reprs (u1 u2 : uf) =
predicate same_reprs (u1 u2 : uf_pure) =
forall x r:int. repr u1 x r <-> repr u2 x r
axiom OneClass :
forall u:uf. num u = 1 ->
forall u:uf_pure. num u = 1 ->
forall x y:int. 0 <= x < size u -> 0 <= y < size u -> same u x y
end
......@@ -31,32 +32,35 @@ end
module UnionFind_sig
use import int.Int
use import ref.Ref
use export UnionFind_pure
use export UnionFind
type uf model { mutable state : uf_pure }
val create (n:int) : ref uf
val create (n:int) : uf
requires { 0 <= n }
ensures { num !result = n /\ size !result = n /\
forall x:int. 0 <= x < n -> repr !result x x }
val find (u:ref uf) (x:int) : int writes {u}
requires { 0 <= x < size !u }
ensures { repr !u x result /\
size !u = size (old !u) /\ num !u = num (old !u) /\
same_reprs !u (old !u) }
val union (u:ref uf) (a:int) (b:int) : unit writes {u}
requires { 0 <= a < size !u /\ 0 <= b < size !u /\ not same !u a b }
ensures { same !u a b /\
size !u = size (old !u) /\ num !u = num (old !u) - 1 /\
forall x y:int. 0 <= x < size !u -> 0 <= y < size !u ->
same !u x y <->
same (old !u) x y \/
same (old !u) x a /\ same (old !u) b y \/
same (old !u) x b /\ same (old !u) a y }
val get_num_classes (u:ref uf) : int reads {u} ensures { result = num !u }
ensures { num result.state = n /\ size result.state = n /\
forall x:int. 0 <= x < n -> repr result.state x x }
val find (u:uf) (x:int) : int writes {u}
requires { 0 <= x < size u.state }
ensures { repr u.state x result /\
size u.state = size (old u.state) /\
num u.state = num (old u.state) /\
same_reprs u.state (old u.state) }
val union (u:uf) (a:int) (b:int) : unit writes {u}
requires { 0 <= a < size u.state /\
0 <= b < size u.state /\ not same u.state a b }
ensures { same u.state a b /\
size u.state = size (old u.state) /\
num u.state = num (old u.state) - 1 /\
forall x y:int. 0 <= x < size u.state -> 0 <= y < size u.state ->
same u.state x y <->
same (old u.state) x y \/
same (old u.state) x a /\ same (old u.state) b y \/
same (old u.state) x b /\ same (old u.state) a y }
val get_num_classes (u:uf) : int reads {u} ensures { result = num u.state }
end
......@@ -74,19 +78,12 @@ theory Graph
end
theory Graph_int
clone export Graph with type vertex = int
end
module Graph_sig
use import int.Int
use import ref.Ref
(* clone export Graph with type vertex = int *)
use export Graph_int
clone export Graph with type vertex = int
val graph : ref graph
......@@ -96,10 +93,10 @@ module Graph_sig
requires { not path !graph a b }
ensures { !num_edges = old !num_edges + 1 /\
(forall x y:int.
path !graph x y <->
path (old !graph) x y \/
path (old !graph) x a /\ path (old !graph) b y \/
path (old !graph) x b /\ path (old !graph) a y) }
path !graph x y <->
path (old !graph) x y \/
path (old !graph) x a /\ path (old !graph) b y \/
path (old !graph) x b /\ path (old !graph) a y) }
end
......@@ -116,18 +113,19 @@ module BuildMaze
lemma Ineq1 :
forall n x y:int. 0 <= n -> 0 <= x < n -> 0 <= y < n -> 0 <= x*n+y < n*n
let add_edge_and_union (u: ref uf) (a:int) (b:int)
requires { 0 <= a < size !u /\ 0 <= b < size !u /\
not same !u a b /\ not path !graph a b /\
let add_edge_and_union (u: uf) (a:int) (b:int)
requires { 0 <= a < size u.state /\ 0 <= b < size u.state /\
not same u.state a b /\ not path !graph a b /\
forall x y:int.
0 <= x < size !u -> 0 <= y < size !u ->
same !u x y <-> path !graph x y }
0 <= x < size u.state -> 0 <= y < size u.state ->
same u.state x y <-> path !graph x y }
ensures { !num_edges = old !num_edges + 1 /\
same !u a b /\
size !u = size (old !u) /\ num !u = num (old !u) - 1 /\
same u.state a b /\
size u.state = size (old u.state) /\
num u.state = num (old u.state) - 1 /\
(forall x y:int.
0 <= x < size !u -> 0 <= y < size !u ->
same !u x y <-> path !graph x y) }
0 <= x < size u.state -> 0 <= y < size u.state ->
same u.state x y <-> path !graph x y) }
= add_edge a b;
union u a b
......@@ -138,12 +136,13 @@ let build_maze (n:int)
forall x y:int. 0 <= x < n*n -> 0 <= y < n*n -> path !graph x y }
= let u = create (n*n) in
assert { forall x y:int. 0 <= x < n*n -> 0 <= y < n*n ->
same !u x y -> (repr !u x y && repr !u x x && x = y) };
same u.state x y -> (repr u.state x y && repr u.state x x && x = y) };
while get_num_classes u > 1 do
invariant {
1 <= num !u /\ num !u + !num_edges = size !u = n*n /\
forall x y:int. 0 <= x < n*n -> 0 <= y < n*n ->
(same !u x y <-> path !graph x y) }
1 <= num u.state /\
num u.state + !num_edges = size u.state = n*n /\
forall x y:int. 0 <= x < n*n -> 0 <= y < n*n ->
(same u.state x y <-> path !graph x y) }
let x = rand n in
let y = rand n in
let d = rand 2 in
......
examples/vacid_0_build_maze/why3session.xml
+ 60
− 67
View file @ 2e14ec07
......@@ -12,57 +12,50 @@
<prover
id="2"
name="Z3"
version="4.3.1"/>
version="4.2"/>
<file
name="../vacid_0_build_maze.mlw"
verified="true"
expanded="true">
<theory
name="UnionFind"
name="UnionFind_pure"
locfile="../vacid_0_build_maze.mlw"
loclnum="2" loccnumb="7" loccnume="16"
loclnum="2" loccnumb="7" loccnume="21"
verified="true"
expanded="true">
</theory>
<theory
name="UnionFind_sig"
locfile="../vacid_0_build_maze.mlw"
loclnum="31" loccnumb="7" loccnume="20"
loclnum="32" loccnumb="7" loccnume="20"
verified="true"
expanded="true">
</theory>
<theory
name="Graph"
locfile="../vacid_0_build_maze.mlw"
loclnum="63" loccnumb="7" loccnume="12"
verified="true"
expanded="true">
</theory>
<theory
name="Graph_int"
locfile="../vacid_0_build_maze.mlw"
loclnum="77" loccnumb="7" loccnume="16"
loclnum="64" loccnumb="7" loccnume="12"
verified="true"
expanded="true">
</theory>
<theory
name="Graph_sig"
locfile="../vacid_0_build_maze.mlw"
loclnum="83" loccnumb="7" loccnume="16"
loclnum="78" loccnumb="7" loccnume="16"
verified="true"
expanded="true">
</theory>
<theory
name="BuildMaze"
locfile="../vacid_0_build_maze.mlw"
loclnum="106" loccnumb="7" loccnume="16"
loclnum="100" loccnumb="7" loccnume="16"
verified="true"
expanded="true">
<goal
name="Ineq1"
locfile="../vacid_0_build_maze.mlw"
loclnum="116" loccnumb="8" loccnume="13"
sum="296f7be2946d7506596e15f248afc703"
loclnum="110" loccnumb="8" loccnume="13"
sum="3eaa4d824439d7c498954baf97a7c829"
proved="true"
expanded="false"
shape="ainfix &lt;ainfix +ainfix *V1V0V2ainfix *V0V0Aainfix &lt;=c0ainfix +ainfix *V1V0V2Iainfix &lt;V2V0Aainfix &lt;=c0V2Iainfix &lt;V1V0Aainfix &lt;=c0V1Iainfix &lt;=c0V0F">
......@@ -73,9 +66,9 @@
<goal
name="Ineq1.1"
locfile="../vacid_0_build_maze.mlw"
loclnum="116" loccnumb="8" loccnume="13"
loclnum="110" loccnumb="8" loccnume="13"
expl="1."
sum="7b7588411ecf2ffbe6e7248a6e7935a3"
sum="b5abf29652bccb6074393479fe34f687"
proved="true"
expanded="false"
shape="ainfix &lt;=c0ainfix +ainfix *V1V0V2Iainfix &lt;V2V0Aainfix &lt;=c0V2Iainfix &lt;V1V0Aainfix &lt;=c0V1Iainfix &lt;=c0V0F">
......@@ -91,9 +84,9 @@
<goal
name="Ineq1.2"
locfile="../vacid_0_build_maze.mlw"
loclnum="116" loccnumb="8" loccnume="13"
loclnum="110" loccnumb="8" loccnume="13"
expl="2."
sum="617cee004edfc4b884b9d0c2d99917ee"
sum="3c93bc80fc536500f1d33200221973e6"
proved="true"
expanded="false"
shape="ainfix &lt;ainfix +ainfix *V1V0V2ainfix *V0V0Iainfix &lt;V2V0Aainfix &lt;=c0V2Iainfix &lt;V1V0Aainfix &lt;=c0V1Iainfix &lt;=c0V0F">
......@@ -103,7 +96,7 @@
memlimit="1000"
obsolete="false"
archived="false">
<result status="valid" time="0.22"/>
<result status="valid" time="0.42"/>
</proof>
</goal>
</transf>
......@@ -111,9 +104,9 @@
<goal
name="WP_parameter add_edge_and_union"
locfile="../vacid_0_build_maze.mlw"
loclnum="119" loccnumb="6" loccnume="24"
loclnum="113" loccnumb="6" loccnume="24"
expl="VC for add_edge_and_union"
sum="5af461b260f024d533967bc4bf2a1106"
sum="8f6506de4e168488faa468fe3ed8f9ae"
proved="true"
expanded="false"
shape="apathV6V8V9qasameV7V8V9Iainfix &lt;V9asizeV7Aainfix &lt;=c0V9Iainfix &lt;V8asizeV7Aainfix &lt;=c0V8FAainfix =anumV7ainfix -anumV2c1Aainfix =asizeV7asizeV2AasameV7V0V1Aainfix =V5ainfix +V3c1IasameV2V0V11AasameV2V10V1OasameV2V1V11AasameV2V10V0OasameV2V10V11qasameV7V10V11Iainfix &lt;V11asizeV7Aainfix &lt;=c0V11Iainfix &lt;V10asizeV7Aainfix &lt;=c0V10FAainfix =anumV7ainfix -anumV2c1Aainfix =asizeV7asizeV2AasameV7V0V1FAasameV2V0V1NAainfix &lt;V1asizeV2Aainfix &lt;=c0V1Aainfix &lt;V0asizeV2Aainfix &lt;=c0V0IapathV4V0V13AapathV4V12V1OapathV4V1V13AapathV4V12V0OapathV4V12V13qapathV6V12V13FAainfix =V5ainfix +V3c1FAapathV4V0V1NIapathV4V14V15qasameV2V14V15Iainfix &lt;V15asizeV2Aainfix &lt;=c0V15Iainfix &lt;V14asizeV2Aainfix &lt;=c0V14FAapathV4V0V1NAasameV2V0V1NAainfix &lt;V1asizeV2Aainfix &lt;=c0V1Aainfix &lt;V0asizeV2Aainfix &lt;=c0V0FF">
......@@ -126,9 +119,9 @@
<goal
name="WP_parameter add_edge_and_union.1"
locfile="../vacid_0_build_maze.mlw"
loclnum="119" loccnumb="6" loccnume="24"
loclnum="113" loccnumb="6" loccnume="24"
expl="1. precondition"
sum="86ed15c0d8cab5ffe5b0e6cc2fd7b19d"
sum="d206e4e54e5c9d53f503eace29bc61c0"
proved="true"
expanded="false"
shape="apathV4V0V1NIapathV4V5V6qasameV2V5V6Iainfix &lt;V6asizeV2Aainfix &lt;=c0V6Iainfix &lt;V5asizeV2Aainfix &lt;=c0V5FAapathV4V0V1NAasameV2V0V1NAainfix &lt;V1asizeV2Aainfix &lt;=c0V1Aainfix &lt;V0asizeV2Aainfix &lt;=c0V0FF">
......@@ -146,9 +139,9 @@
<goal
name="WP_parameter add_edge_and_union.2"
locfile="../vacid_0_build_maze.mlw"
loclnum="119" loccnumb="6" loccnume="24"
loclnum="113" loccnumb="6" loccnume="24"
expl="2. precondition"
sum="02d16628f91a8063fb0b616f620a9f89"
sum="e71629ca482b75ad9986fa0d036bf75a"
proved="true"
expanded="false"
shape="asameV2V0V1NAainfix &lt;V1asizeV2Aainfix &lt;=c0V1Aainfix &lt;V0asizeV2Aainfix &lt;=c0V0IapathV4V0V8AapathV4V7V1OapathV4V1V8AapathV4V7V0OapathV4V7V8qapathV6V7V8FAainfix =V5ainfix +V3c1FIapathV4V0V1NIapathV4V9V10qasameV2V9V10Iainfix &lt;V10asizeV2Aainfix &lt;=c0V10Iainfix &lt;V9asizeV2Aainfix &lt;=c0V9FAapathV4V0V1NAasameV2V0V1NAainfix &lt;V1asizeV2Aainfix &lt;=c0V1Aainfix &lt;V0asizeV2Aainfix &lt;=c0V0FF">
......@@ -166,9 +159,9 @@
<goal
name="WP_parameter add_edge_and_union.3"
locfile="../vacid_0_build_maze.mlw"
loclnum="119" loccnumb="6" loccnume="24"
loclnum="113" loccnumb="6" loccnume="24"
expl="3. postcondition"
sum="4ab69cfd01b6133cc176ac413c7afb4d"
sum="72c8e946daf92c6320e2509ae2b10c7d"
proved="true"
expanded="false"
shape="apathV6V8V9qasameV7V8V9Iainfix &lt;V9asizeV7Aainfix &lt;=c0V9Iainfix &lt;V8asizeV7Aainfix &lt;=c0V8FAainfix =anumV7ainfix -anumV2c1Aainfix =asizeV7asizeV2AasameV7V0V1Aainfix =V5ainfix +V3c1IasameV2V0V11AasameV2V10V1OasameV2V1V11AasameV2V10V0OasameV2V10V11qasameV7V10V11Iainfix &lt;V11asizeV7Aainfix &lt;=c0V11Iainfix &lt;V10asizeV7Aainfix &lt;=c0V10FAainfix =anumV7ainfix -anumV2c1Aainfix =asizeV7asizeV2AasameV7V0V1FIasameV2V0V1NAainfix &lt;V1asizeV2Aainfix &lt;=c0V1Aainfix &lt;V0asizeV2Aainfix &lt;=c0V0IapathV4V0V13AapathV4V12V1OapathV4V1V13AapathV4V12V0OapathV4V12V13qapathV6V12V13FAainfix =V5ainfix +V3c1FIapathV4V0V1NIapathV4V14V15qasameV2V14V15Iainfix &lt;V15asizeV2Aainfix &lt;=c0V15Iainfix &lt;V14asizeV2Aainfix &lt;=c0V14FAapathV4V0V1NAasameV2V0V1NAainfix &lt;V1asizeV2Aainfix &lt;=c0V1Aainfix &lt;V0asizeV2Aainfix &lt;=c0V0FF">
......@@ -180,7 +173,7 @@
memlimit="1000"
obsolete="false"
archived="false">
<result status="valid" time="2.73"/>
<result status="valid" time="4.25"/>
</proof>
</goal>
</transf>
......@@ -188,9 +181,9 @@
<goal
name="WP_parameter build_maze"
locfile="../vacid_0_build_maze.mlw"
loclnum="134" loccnumb="4" loccnume="14"
loclnum="128" loccnumb="4" loccnume="14"
expl="VC for build_maze"
sum="85862ac15a2e55aacf89eab486eab149"
sum="cff6a3f0c02e64acea00d2d46f17f3c6"
proved="true"
expanded="true"
shape="iainfix &gt;anumV4c1iainfix &lt;iainfix =V9c0V8ainfix +V8c1V0Aainfix &lt;iainfix =V9c0ainfix +V7c1V7V0iainfix =V13V11NapathV16V17V18qasameV14V17V18Iainfix &lt;V18ainfix *V0V0Aainfix &lt;=c0V18Iainfix &lt;V17ainfix *V0V0Aainfix &lt;=c0V17FAainfix =asizeV14ainfix *V0V0Aainfix =ainfix +anumV14V15asizeV14Aainfix &lt;=c1anumV14IapathV16V19V20qasameV14V19V20Iainfix &lt;V20asizeV14Aainfix &lt;=c0V20Iainfix &lt;V19asizeV14Aainfix &lt;=c0V19FAainfix =anumV14ainfix -anumV12c1Aainfix =asizeV14asizeV12AasameV14ainfix +ainfix *V8V0V7ainfix +ainfix *iainfix =V9c0ainfix +V7c1V7V0iainfix =V9c0V8ainfix +V8c1Aainfix =V15ainfix +V5c1FAapathV6V21V22qasameV12V21V22Iainfix &lt;V22asizeV12Aainfix &lt;=c0V22Iainfix &lt;V21asizeV12Aainfix &lt;=c0V21FAapathV6ainfix +ainfix *V8V0V7ainfix +ainfix *iainfix =V9c0ainfix +V7c1V7V0iainfix =V9c0V8ainfix +V8c1NAasameV12ainfix +ainfix *V8V0V7ainfix +ainfix *iainfix =V9c0ainfix +V7c1V7V0iainfix =V9c0V8ainfix +V8c1NAainfix &lt;ainfix +ainfix *iainfix =V9c0ainfix +V7c1V7V0iainfix =V9c0V8ainfix +V8c1asizeV12Aainfix &lt;=c0ainfix +ainfix *iainfix =V9c0ainfix +V7c1V7V0iainfix =V9c0V8ainfix +V8c1Aainfix &lt;ainfix +ainfix *V8V0V7asizeV12Aainfix &lt;=c0ainfix +ainfix *V8V0V7apathV6V23V24qasameV12V23V24Iainfix &lt;V24ainfix *V0V0Aainfix &lt;=c0V24Iainfix &lt;V23ainfix *V0V0Aainfix &lt;=c0V23FAainfix =asizeV12ainfix *V0V0Aainfix =ainfix +anumV12V5asizeV12Aainfix &lt;=c1anumV12Iasame_reprsV12V10Aainfix =anumV12anumV10Aainfix =asizeV12asizeV10AareprV12ainfix +ainfix *V8V0V7V13FFAainfix &lt;ainfix +ainfix *V8V0V7asizeV10Aainfix &lt;=c0ainfix +ainfix *V8V0V7Iasame_reprsV10V4Aainfix =anumV10anumV4Aainfix =asizeV10asizeV4AareprV10ainfix +ainfix *iainfix =V9c0ainfix +V7c1V7V0iainfix =V9c0V8ainfix +V8c1V11FFAainfix &lt;ainfix +ainfix *iainfix =V9c0ainfix +V7c1V7V0iainfix =V9c0V8ainfix +V8c1asizeV4Aainfix &lt;=c0ainfix +ainfix *iainfix =V9c0ainfix +V7c1V7V0iainfix =V9c0V8ainfix +V8c1Aainfix &lt;ainfix +ainfix *iainfix =V9c0ainfix +V7c1V7V0iainfix =V9c0V8ainfix +V8c1ainfix *V0V0Aainfix &lt;=c0ainfix +ainfix *iainfix =V9c0ainfix +V7c1V7V0iainfix =V9c0V8ainfix +V8c1Aainfix &lt;ainfix +ainfix *V8V0V7ainfix *V0V0Aainfix &lt;=c0ainfix +ainfix *V8V0V7apathV6V25V26qasameV4V25V26Iainfix &lt;V26ainfix *V0V0Aainfix &lt;=c0V26Iainfix &lt;V25ainfix *V0V0Aainfix &lt;=c0V25FAainfix =asizeV4ainfix *V0V0Aainfix =ainfix +anumV4V5asizeV4Aainfix &lt;=c1anumV4Iainfix &lt;V9c2Aainfix &lt;=c0V9FAainfix &lt;c0c2Iainfix &lt;V8V0Aainfix &lt;=c0V8FAainfix &lt;c0V0Iainfix &lt;V7V0Aainfix &lt;=c0V7FAainfix &lt;c0V0apathV6V27V28Iainfix &lt;V28ainfix *V0V0Aainfix &lt;=c0V28Iainfix &lt;V27ainfix *V0V0Aainfix &lt;=c0V27FAainfix =V5ainfix -ainfix *V0V0c1IapathV6V29V30qasameV4V29V30Iainfix &lt;V30ainfix *V0V0Aainfix &lt;=c0V30Iainfix &lt;V29ainfix *V0V0Aainfix &lt;=c0V29FAainfix =asizeV4ainfix *V0V0Aainfix =ainfix +anumV4V5asizeV4Aainfix &lt;=c1anumV4FAapathV2V31V32qasameV3V31V32Iainfix &lt;V32ainfix *V0V0Aainfix &lt;=c0V32Iainfix &lt;V31ainfix *V0V0Aainfix &lt;=c0V31FAainfix =asizeV3ainfix *V0V0Aainfix =ainfix +anumV3V1asizeV3Aainfix &lt;=c1anumV3Aainfix =V33V34AareprV3V33V33AareprV3V33V34IasameV3V33V34Iainfix &lt;V34ainfix *V0V0Aainfix &lt;=c0V34Iainfix &lt;V33ainfix *V0V0Aainfix &lt;=c0V33FIareprV3V35V35Iainfix &lt;V35ainfix *V0V0Aainfix &lt;=c0V35FAainfix =asizeV3ainfix *V0V0Aainfix =anumV3ainfix *V0V0FAainfix &lt;=c0ainfix *V0V0IapathV2V36V37qainfix =V36V37FAainfix =V1c0Aainfix &lt;=c1V0FF">
......@@ -203,9 +196,9 @@
<goal
name="WP_parameter build_maze.1"
locfile="../vacid_0_build_maze.mlw"
loclnum="134" loccnumb="4" loccnume="14"
loclnum="128" loccnumb="4" loccnume="14"
expl="1. precondition"
sum="dbd9d66ed34573265cf03c1723fe3194"
sum="1f45d8714783e1f89fba5d3245130d83"
proved="true"
expanded="false"
shape="ainfix &lt;=c0ainfix *V0V0IapathV2V3V4qainfix =V3V4FAainfix =V1c0Aainfix &lt;=c1V0FF">
......@@ -223,9 +216,9 @@
<goal
name="WP_parameter build_maze.2"
locfile="../vacid_0_build_maze.mlw"
loclnum="134" loccnumb="4" loccnume="14"
loclnum="128" loccnumb="4" loccnume="14"
expl="2. assertion"
sum="ba6f9bb547e3b05840ec2ac44c4e2d21"
sum="6722e53803d71cb0180cee244d31c6f7"
proved="true"
expanded="false"
shape="ainfix =V4V5AareprV3V4V4AareprV3V4V5IasameV3V4V5Iainfix &lt;V5ainfix *V0V0Aainfix &lt;=c0V5Iainfix &lt;V4ainfix *V0V0Aainfix &lt;=c0V4FIareprV3V6V6Iainfix &lt;V6ainfix *V0V0Aainfix &lt;=c0V6FAainfix =asizeV3ainfix *V0V0Aainfix =anumV3ainfix *V0V0FIainfix &lt;=c0ainfix *V0V0IapathV2V7V8qainfix =V7V8FAainfix =V1c0Aainfix &lt;=c1V0FF">
......@@ -243,9 +236,9 @@
<goal
name="WP_parameter build_maze.3"
locfile="../vacid_0_build_maze.mlw"
loclnum="134" loccnumb="4" loccnume="14"
loclnum="128" loccnumb="4" loccnume="14"
expl="3. loop invariant init"
sum="245a025c34e8959d939159284c2bc33e"
sum="a45d9a509745259fa4e46072f5c19b00"
proved="true"
expanded="false"
shape="apathV2V4V5qasameV3V4V5Iainfix &lt;V5ainfix *V0V0Aainfix &lt;=c0V5Iainfix &lt;V4ainfix *V0V0Aainfix &lt;=c0V4FAainfix =asizeV3ainfix *V0V0Aainfix =ainfix +anumV3V1asizeV3Aainfix &lt;=c1anumV3Iainfix =V6V7AareprV3V6V6AareprV3V6V7IasameV3V6V7Iainfix &lt;V7ainfix *V0V0Aainfix &lt;=c0V7Iainfix &lt;V6ainfix *V0V0Aainfix &lt;=c0V6FIareprV3V8V8Iainfix &lt;V8ainfix *V0V0Aainfix &lt;=c0V8FAainfix =asizeV3ainfix *V0V0Aainfix =anumV3ainfix *V0V0FIainfix &lt;=c0ainfix *V0V0IapathV2V9V10qainfix =V9V10FAainfix =V1c0Aainfix &lt;=c1V0FF">
......@@ -263,9 +256,9 @@
<goal
name="WP_parameter build_maze.4"
locfile="../vacid_0_build_maze.mlw"
loclnum="134" loccnumb="4" loccnume="14"
loclnum="128" loccnumb="4" loccnume="14"
expl="4. precondition"
sum="91fb770767f9de10868e59232a3f4b3f"
sum="ffb983295548a7ecd15f324e5657dcc6"
proved="true"
expanded="false"
shape="ainfix &lt;c0V0Iainfix &gt;anumV4c1IapathV6V7V8qasameV4V7V8Iainfix &lt;V8ainfix *V0V0Aainfix &lt;=c0V8Iainfix &lt;V7ainfix *V0V0Aainfix &lt;=c0V7FAainfix =asizeV4ainfix *V0V0Aainfix =ainfix +anumV4V5asizeV4Aainfix &lt;=c1anumV4FIainfix =V9V10AareprV3V9V9AareprV3V9V10IasameV3V9V10Iainfix &lt;V10ainfix *V0V0Aainfix &lt;=c0V10Iainfix &lt;V9ainfix *V0V0Aainfix &lt;=c0V9FIareprV3V11V11Iainfix &lt;V11ainfix *V0V0Aainfix &lt;=c0V11FAainfix =asizeV3ainfix *V0V0Aainfix =anumV3ainfix *V0V0FIainfix &lt;=c0ainfix *V0V0IapathV2V12V13qainfix =V12V13FAainfix =V1c0Aainfix &lt;=c1V0FF">
......@@ -283,9 +276,9 @@
<goal
name="WP_parameter build_maze.5"
locfile="../vacid_0_build_maze.mlw"
loclnum="134" loccnumb="4" loccnume="14"
loclnum="128" loccnumb="4" loccnume="14"
expl="5. precondition"
sum="9a066f1317880c0f91febe2d9c18bdaf"
sum="a9b718d2e7c07ef13ebce9760ad87a73"
proved="true"
expanded="false"
shape="ainfix &lt;c0V0Iainfix &lt;V7V0Aainfix &lt;=c0V7FIainfix &lt;c0V0Iainfix &gt;anumV4c1IapathV6V8V9qasameV4V8V9Iainfix &lt;V9ainfix *V0V0Aainfix &lt;=c0V9Iainfix &lt;V8ainfix *V0V0Aainfix &lt;=c0V8FAainfix =asizeV4ainfix *V0V0Aainfix =ainfix +anumV4V5asizeV4Aainfix &lt;=c1anumV4FIainfix =V10V11AareprV3V10V10AareprV3V10V11IasameV3V10V11Iainfix &lt;V11ainfix *V0V0Aainfix &lt;=c0V11Iainfix &lt;V10ainfix *V0V0Aainfix &lt;=c0V10FIareprV3V12V12Iainfix &lt;V12ainfix *V0V0Aainfix &lt;=c0V12FAainfix =asizeV3ainfix *V0V0Aainfix =anumV3ainfix *V0V0FIainfix &lt;=c0ainfix *V0V0IapathV2V13V14qainfix =V13V14FAainfix =V1c0Aainfix &lt;=c1V0FF">
......@@ -303,9 +296,9 @@
<goal
name="WP_parameter build_maze.6"
locfile="../vacid_0_build_maze.mlw"
loclnum="134" loccnumb="4" loccnume="14"
loclnum="128" loccnumb="4" loccnume="14"
expl="6. precondition"
sum="04d5d95a944e56fb4ba7bd6878059a33"
sum="4014804e04a1a87012f0b58796a4bea5"
proved="true"
expanded="false"
shape="ainfix &lt;c0c2Iainfix &lt;V8V0Aainfix &lt;=c0V8FIainfix &lt;c0V0Iainfix &lt;V7V0Aainfix &lt;=c0V7FIainfix &lt;c0V0Iainfix &gt;anumV4c1IapathV6V9V10qasameV4V9V10Iainfix &lt;V10ainfix *V0V0Aainfix &lt;=c0V10Iainfix &lt;V9ainfix *V0V0Aainfix &lt;=c0V9FAainfix =asizeV4ainfix *V0V0Aainfix =ainfix +anumV4V5asizeV4Aainfix &lt;=c1anumV4FIainfix =V11V12AareprV3V11V11AareprV3V11V12IasameV3V11V12Iainfix &lt;V12ainfix *V0V0Aainfix &lt;=c0V12Iainfix &lt;V11ainfix *V0V0Aainfix &lt;=c0V11FIareprV3V13V13Iainfix &lt;V13ainfix *V0V0Aainfix &lt;=c0V13FAainfix =asizeV3ainfix *V0V0Aainfix =anumV3ainfix *V0V0FIainfix &lt;=c0ainfix *V0V0IapathV2V14V15qainfix =V14V15FAainfix =V1c0Aainfix &lt;=c1V0FF">
......@@ -323,9 +316,9 @@
<goal
name="WP_parameter build_maze.7"
locfile="../vacid_0_build_maze.mlw"
loclnum="134" loccnumb="4" loccnume="14"
loclnum="128" loccnumb="4" loccnume="14"
expl="7. assertion"
sum="9a1a77493c9be35a09b363fd93f30f02"
sum="74f81959a795a1b9cc4d5043a1c7c2a7"
proved="true"
expanded="false"
shape="ainfix &lt;ainfix +ainfix *V8V0V7ainfix *V0V0Aainfix &lt;=c0ainfix +ainfix *V8V0V7Iainfix &lt;iainfix =V9c0V8ainfix +V8c1V0Aainfix &lt;iainfix =V9c0ainfix +V7c1V7V0Iainfix &lt;V9c2Aainfix &lt;=c0V9FIainfix &lt;c0c2Iainfix &lt;V8V0Aainfix &lt;=c0V8FIainfix &lt;c0V0Iainfix &lt;V7V0Aainfix &lt;=c0V7FIainfix &lt;c0V0Iainfix &gt;anumV4c1IapathV6V10V11qasameV4V10V11Iainfix &lt;V11ainfix *V0V0Aainfix &lt;=c0V11Iainfix &lt;V10ainfix *V0V0Aainfix &lt;=c0V10FAainfix =asizeV4ainfix *V0V0Aainfix =ainfix +anumV4V5asizeV4Aainfix &lt;=c1anumV4FIainfix =V12V13AareprV3V12V12AareprV3V12V13IasameV3V12V13Iainfix &lt;V13ainfix *V0V0Aainfix &lt;=c0V13Iainfix &lt;V12ainfix *V0V0Aainfix &lt;=c0V12FIareprV3V14V14Iainfix &lt;V14ainfix *V0V0Aainfix &lt;=c0V14FAainfix =asizeV3ainfix *V0V0Aainfix =anumV3ainfix *V0V0FIainfix &lt;=c0ainfix *V0V0IapathV2V15V16qainfix =V15V16FAainfix =V1c0Aainfix &lt;=c1V0FF">
......@@ -343,11 +336,11 @@
<goal
name="WP_parameter build_maze.8"
locfile="../vacid_0_build_maze.mlw"
loclnum="134" loccnumb="4" loccnume="14"
loclnum="128" loccnumb="4" loccnume="14"
expl="8. assertion"
sum="8640c298c192ad8e055a3d7ebb3dcb14"
sum="ae504ba54ef75b8fe7d63ff62cfe2395"
proved="true"
expanded="true"
expanded="false"
shape="ainfix &lt;ainfix +ainfix *iainfix =V9c0ainfix +V7c1V7V0iainfix =V9c0V8ainfix +V8c1ainfix *V0V0Aainfix &lt;=c0ainfix +ainfix *iainfix =V9c0ainfix +V7c1V7V0iainfix =V9c0V8ainfix +V8c1Iainfix &lt;ainfix +ainfix *V8V0V7ainfix *V0V0Aainfix &lt;=c0ainfix +ainfix *V8V0V7Iainfix &lt;iainfix =V9c0V8ainfix +V8c1V0Aainfix &lt;iainfix =V9c0ainfix +V7c1V7V0Iainfix &lt;V9c2Aainfix &lt;=c0V9FIainfix &lt;c0c2Iainfix &lt;V8V0Aainfix &lt;=c0V8FIainfix &lt;c0V0Iainfix &lt;V7V0Aainfix &lt;=c0V7FIainfix &lt;c0V0Iainfix &gt;anumV4c1IapathV6V10V11qasameV4V10V11Iainfix &lt;V11ainfix *V0V0Aainfix &lt;=c0V11Iainfix &lt;V10ainfix *V0V0Aainfix &lt;=c0V10FAainfix =asizeV4ainfix *V0V0Aainfix =ainfix +anumV4V5asizeV4Aainfix &lt;=c1anumV4FIainfix =V12V13AareprV3V12V12AareprV3V12V13IasameV3V12V13Iainfix &lt;V13ainfix *V0V0Aainfix &lt;=c0V13Iainfix &lt;V12ainfix *V0V0Aainfix &lt;=c0V12FIareprV3V14V14Iainfix &lt;V14ainfix *V0V0Aainfix &lt;=c0V14FAainfix =asizeV3ainfix *V0V0Aainfix =anumV3ainfix *V0V0FIainfix &lt;=c0ainfix *V0V0IapathV2V15V16qainfix =V15V16FAainfix =V1c0Aainfix &lt;=c1V0FF">
<label
name="expl:VC for build_maze"/>
......@@ -363,9 +356,9 @@
<goal
name="WP_parameter build_maze.9"
locfile="../vacid_0_build_maze.mlw"
loclnum="134" loccnumb="4" loccnume="14"
loclnum="128" loccnumb="4" loccnume="14"
expl="9. precondition"
sum="374e0a52d35f06e9c33d5a2d9073a5cd"
sum="9f178eb9f7b248bb7b4056cf068eefe9"
proved="true"
expanded="false"
shape="ainfix &lt;ainfix +ainfix *iainfix =V9c0ainfix +V7c1V7V0iainfix =V9c0V8ainfix +V8c1asizeV4Aainfix &lt;=c0ainfix +ainfix *iainfix =V9c0ainfix +V7c1V7V0iainfix =V9c0V8ainfix +V8c1Iainfix &lt;ainfix +ainfix *iainfix =V9c0ainfix +V7c1V7V0iainfix =V9c0V8ainfix +V8c1ainfix *V0V0Aainfix &lt;=c0ainfix +ainfix *iainfix =V9c0ainfix +V7c1V7V0iainfix =V9c0V8ainfix +V8c1Iainfix &lt;ainfix +ainfix *V8V0V7ainfix *V0V0Aainfix &lt;=c0ainfix +ainfix *V8V0V7Iainfix &lt;iainfix =V9c0V8ainfix +V8c1V0Aainfix &lt;iainfix =V9c0ainfix +V7c1V7V0Iainfix &lt;V9c2Aainfix &lt;=c0V9FIainfix &lt;c0c2Iainfix &lt;V8V0Aainfix &lt;=c0V8FIainfix &lt;c0V0Iainfix &lt;V7V0Aainfix &lt;=c0V7FIainfix &lt;c0V0Iainfix &gt;anumV4c1IapathV6V10V11qasameV4V10V11Iainfix &lt;V11ainfix *V0V0Aainfix &lt;=c0V11Iainfix &lt;V10ainfix *V0V0Aainfix &lt;=c0V10FAainfix =asizeV4ainfix *V0V0Aainfix =ainfix +anumV4V5asizeV4Aainfix &lt;=c1anumV4FIainfix =V12V13AareprV3V12V12AareprV3V12V13IasameV3V12V13Iainfix &lt;V13ainfix *V0V0Aainfix &lt;=c0V13Iainfix &lt;V12ainfix *V0V0Aainfix &lt;=c0V12FIareprV3V14V14Iainfix &lt;V14ainfix *V0V0Aainfix &lt;=c0V14FAainfix =asizeV3ainfix *V0V0Aainfix =anumV3ainfix *V0V0FIainfix &lt;=c0ainfix *V0V0IapathV2V15V16qainfix =V15V16FAainfix =V1c0Aainfix &lt;=c1V0FF">
......@@ -377,15 +370,15 @@
memlimit="1000"
obsolete="false"
archived="false">
<result status="valid" time="0.30"/>
<result status="valid" time="0.65"/>
</proof>
</goal>
<goal
name="WP_parameter build_maze.10"
locfile="../vacid_0_build_maze.mlw"
loclnum="134" loccnumb="4" loccnume="14"
loclnum="128" loccnumb="4" loccnume="14"
expl="10. precondition"
sum="e89835d9f5b20f732e77f46205abdbb6"
sum="07767f8e610096dffc4a182b71016abe"
proved="true"
expanded="false"
shape="ainfix &lt;ainfix +ainfix *V8V0V7asizeV10Aainfix &lt;=c0ainfix +ainfix *V8V0V7Iasame_reprsV10V4Aainfix =anumV10anumV4Aainfix =asizeV10asizeV4AareprV10ainfix +ainfix *iainfix =V9c0ainfix +V7c1V7V0iainfix =V9c0V8ainfix +V8c1V11FFIainfix &lt;ainfix +ainfix *iainfix =V9c0ainfix +V7c1V7V0iainfix =V9c0V8ainfix +V8c1asizeV4Aainfix &lt;=c0ainfix +ainfix *iainfix =V9c0ainfix +V7c1V7V0iainfix =V9c0V8ainfix +V8c1Iainfix &lt;ainfix +ainfix *iainfix =V9c0ainfix +V7c1V7V0iainfix =V9c0V8ainfix +V8c1ainfix *V0V0Aainfix &lt;=c0ainfix +ainfix *iainfix =V9c0ainfix +V7c1V7V0iainfix =V9c0V8ainfix +V8c1Iainfix &lt;ainfix +ainfix *V8V0V7ainfix *V0V0Aainfix &lt;=c0ainfix +ainfix *V8V0V7Iainfix &lt;iainfix =V9c0V8ainfix +V8c1V0Aainfix &lt;iainfix =V9c0ainfix +V7c1V7V0Iainfix &lt;V9c2Aainfix &lt;=c0V9FIainfix &lt;c0c2Iainfix &lt;V8V0Aainfix &lt;=c0V8FIainfix &lt;c0V0Iainfix &lt;V7V0Aainfix &lt;=c0V7FIainfix &lt;c0V0Iainfix &gt;anumV4c1IapathV6V12V13qasameV4V12V13Iainfix &lt;V13ainfix *V0V0Aainfix &lt;=c0V13Iainfix &lt;V12ainfix *V0V0Aainfix &lt;=c0V12FAainfix =asizeV4ainfix *V0V0Aainfix =ainfix +anumV4V5asizeV4Aainfix &lt;=c1anumV4FIainfix =V14V15AareprV3V14V14AareprV3V14V15IasameV3V14V15Iainfix &lt;V15ainfix *V0V0Aainfix &lt;=c0V15Iainfix &lt;V14ainfix *V0V0Aainfix &lt;=c0V14FIareprV3V16V16Iainfix &lt;V16ainfix *V0V0Aainfix &lt;=c0V16FAainfix =asizeV3ainfix *V0V0Aainfix =anumV3ainfix *V0V0FIainfix &lt;=c0ainfix *V0V0IapathV2V17V18qainfix =V17V18FAainfix =V1c0Aainfix &lt;=c1V0FF">
......@@ -403,9 +396,9 @@
<goal
name="WP_parameter build_maze.11"
locfile="../vacid_0_build_maze.mlw"
loclnum="134" loccnumb="4" loccnume="14"
loclnum="128" loccnumb="4" loccnume="14"
expl="11. precondition"
sum="a4880edba035e13edcb526de470bd0db"
sum="1d19c44ae7129e8e0904f0528a65faac"
proved="true"
expanded="false"
shape="apathV6V14V15qasameV12V14V15Iainfix &lt;V15asizeV12Aainfix &lt;=c0V15Iainfix &lt;V14asizeV12Aainfix &lt;=c0V14FAapathV6ainfix +ainfix *V8V0V7ainfix +ainfix *iainfix =V9c0ainfix +V7c1V7V0iainfix =V9c0V8ainfix +V8c1NAasameV12ainfix +ainfix *V8V0V7ainfix +ainfix *iainfix =V9c0ainfix +V7c1V7V0iainfix =V9c0V8ainfix +V8c1NAainfix &lt;ainfix +ainfix *iainfix =V9c0ainfix +V7c1V7V0iainfix =V9c0V8ainfix +V8c1asizeV12Aainfix &lt;=c0ainfix +ainfix *iainfix =V9c0ainfix +V7c1V7V0iainfix =V9c0V8ainfix +V8c1Aainfix &lt;ainfix +ainfix *V8V0V7asizeV12Aainfix &lt;=c0ainfix +ainfix *V8V0V7Iainfix =V13V11NIasame_reprsV12V10Aainfix =anumV12anumV10Aainfix =asizeV12asizeV10AareprV12ainfix +ainfix *V8V0V7V13FFIainfix &lt;ainfix +ainfix *V8V0V7asizeV10Aainfix &lt;=c0ainfix +ainfix *V8V0V7Iasame_reprsV10V4Aainfix =anumV10anumV4Aainfix =asizeV10asizeV4AareprV10ainfix +ainfix *iainfix =V9c0ainfix +V7c1V7V0iainfix =V9c0V8ainfix +V8c1V11FFIainfix &lt;ainfix +ainfix *iainfix =V9c0ainfix +V7c1V7V0iainfix =V9c0V8ainfix +V8c1asizeV4Aainfix &lt;=c0ainfix +ainfix *iainfix =V9c0ainfix +V7c1V7V0iainfix =V9c0V8ainfix +V8c1Iainfix &lt;ainfix +ainfix *iainfix =V9c0ainfix +V7c1V7V0iainfix =V9c0V8ainfix +V8c1ainfix *V0V0Aainfix &lt;=c0ainfix +ainfix *iainfix =V9c0ainfix +V7c1V7V0iainfix =V9c0V8ainfix +V8c1Iainfix &lt;ainfix +ainfix *V8V0V7ainfix *V0V0Aainfix &lt;=c0ainfix +ainfix *V8V0V7Iainfix &lt;iainfix =V9c0V8ainfix +V8c1V0Aainfix &lt;iainfix =V9c0ainfix +V7c1V7V0Iainfix &lt;V9c2Aainfix &lt;=c0V9FIainfix &lt;c0c2Iainfix &lt;V8V0Aainfix &lt;=c0V8FIainfix &lt;c0V0Iainfix &lt;V7V0Aainfix &lt;=c0V7FIainfix &lt;c0V0Iainfix &gt;anumV4c1IapathV6V16V17qasameV4V16V17Iainfix &lt;V17ainfix *V0V0Aainfix &lt;=c0V17Iainfix &lt;V16ainfix *V0V0Aainfix &lt;=c0V16FAainfix =asizeV4ainfix *V0V0Aainfix =ainfix +anumV4V5asizeV4Aainfix &lt;=c1anumV4FIainfix =V18V19AareprV3V18V18AareprV3V18V19IasameV3V18V19Iainfix &lt;V19ainfix *V0V0Aainfix &lt;=c0V19Iainfix &lt;V18ainfix *V0V0Aainfix &lt;=c0V18FIareprV3V20V20Iainfix &lt;V20ainfix *V0V0Aainfix &lt;=c0V20FAainfix =asizeV3ainfix *V0V0Aainfix =anumV3ainfix *V0V0FIainfix &lt;=c0ainfix *V0V0IapathV2V21V22qainfix =V21V22FAainfix =V1c0Aainfix &lt;=c1V0FF">
......@@ -417,15 +410,15 @@
memlimit="1000"
obsolete="false"
archived="false">
<result status="valid" time="2.67"/>
<result status="valid" time="3.29"/>
</proof>
</goal>
<goal
name="WP_parameter build_maze.12"
locfile="../vacid_0_build_maze.mlw"
loclnum="134" loccnumb="4" loccnume="14"
loclnum="128" loccnumb="4" loccnume="14"
expl="12. loop invariant preservation"
sum="8865af8626404647cfdfa13d0d764883"
sum="433b85dd9ccb795c1caf2e68395c3b7c"
proved="true"
expanded="false"
shape="apathV16V17V18qasameV14V17V18Iainfix &lt;V18ainfix *V0V0Aainfix &lt;=c0V18Iainfix &lt;V17ainfix *V0V0Aainfix &lt;=c0V17FAainfix =asizeV14ainfix *V0V0Aainfix =ainfix +anumV14V15asizeV14Aainfix &lt;=c1anumV14IapathV16V19V20qasameV14V19V20Iainfix &lt;V20asizeV14Aainfix &lt;=c0V20Iainfix &lt;V19asizeV14Aainfix &lt;=c0V19FAainfix =anumV14ainfix -anumV12c1Aainfix =asizeV14asizeV12AasameV14ainfix +ainfix *V8V0V7ainfix +ainfix *iainfix =V9c0ainfix +V7c1V7V0iainfix =V9c0V8ainfix +V8c1Aainfix =V15ainfix +V5c1FIapathV6V21V22qasameV12V21V22Iainfix &lt;V22asizeV12Aainfix &lt;=c0V22Iainfix &lt;V21asizeV12Aainfix &lt;=c0V21FAapathV6ainfix +ainfix *V8V0V7ainfix +ainfix *iainfix =V9c0ainfix +V7c1V7V0iainfix =V9c0V8ainfix +V8c1NAasameV12ainfix +ainfix *V8V0V7ainfix +ainfix *iainfix =V9c0ainfix +V7c1V7V0iainfix =V9c0V8ainfix +V8c1NAainfix &lt;ainfix +ainfix *iainfix =V9c0ainfix +V7c1V7V0iainfix =V9c0V8ainfix +V8c1asizeV12Aainfix &lt;=c0ainfix +ainfix *iainfix =V9c0ainfix +V7c1V7V0iainfix =V9c0V8ainfix +V8c1Aainfix &lt;ainfix +ainfix *V8V0V7asizeV12Aainfix &lt;=c0ainfix +ainfix *V8V0V7Iainfix =V13V11NIasame_reprsV12V10Aainfix =anumV12anumV10Aainfix =asizeV12asizeV10AareprV12ainfix +ainfix *V8V0V7V13FFIainfix &lt;ainfix +ainfix *V8V0V7asizeV10Aainfix &lt;=c0ainfix +ainfix *V8V0V7Iasame_reprsV10V4Aainfix =anumV10anumV4Aainfix =asizeV10asizeV4AareprV10ainfix +ainfix *iainfix =V9c0ainfix +V7c1V7V0iainfix =V9c0V8ainfix +V8c1V11FFIainfix &lt;ainfix +ainfix *iainfix =V9c0ainfix +V7c1V7V0iainfix =V9c0V8ainfix +V8c1asizeV4Aainfix &lt;=c0ainfix +ainfix *iainfix =V9c0ainfix +V7c1V7V0iainfix =V9c0V8ainfix +V8c1Iainfix &lt;ainfix +ainfix *iainfix =V9c0ainfix +V7c1V7V0iainfix =V9c0V8ainfix +V8c1ainfix *V0V0Aainfix &lt;=c0ainfix +ainfix *iainfix =V9c0ainfix +V7c1V7V0iainfix =V9c0V8ainfix +V8c1Iainfix &lt;ainfix +ainfix *V8V0V7ainfix *V0V0Aainfix &lt;=c0ainfix +ainfix *V8V0V7Iainfix &lt;iainfix =V9c0V8ainfix +V8c1V0Aainfix &lt;iainfix =V9c0ainfix +V7c1V7V0Iainfix &lt;V9c2Aainfix &lt;=c0V9FIainfix &lt;c0c2Iainfix &lt;V8V0Aainfix &lt;=c0V8FIainfix &lt;c0V0Iainfix &lt;V7V0Aainfix &lt;=c0V7FIainfix &lt;c0V0Iainfix &gt;anumV4c1IapathV6V23V24qasameV4V23V24Iainfix &lt;V24ainfix *V0V0Aainfix &lt;=c0V24Iainfix &lt;V23ainfix *V0V0Aainfix &lt;=c0V23FAainfix =asizeV4ainfix *V0V0Aainfix =ainfix +anumV4V5asizeV4Aainfix &lt;=c1anumV4FIainfix =V25V26AareprV3V25V25AareprV3V25V26IasameV3V25V26Iainfix &lt;V26ainfix *V0V0Aainfix &lt;=c0V26Iainfix &lt;V25ainfix *V0V0Aainfix &lt;=c0V25FIareprV3V27V27Iainfix &lt;V27ainfix *V0V0Aainfix &lt;=c0V27FAainfix =asizeV3ainfix *V0V0Aainfix =anumV3ainfix *V0V0FIainfix &lt;=c0ainfix *V0V0IapathV2V28V29qainfix =V28V29FAainfix =V1c0Aainfix &lt;=c1V0FF">
......@@ -437,15 +430,15 @@
memlimit="1000"
obsolete="false"
archived="false">
<result status="valid" time="0.50"/>
<result status="valid" time="1.14"/>
</proof>
</goal>
<goal
name="WP_parameter build_maze.13"
locfile="../vacid_0_build_maze.mlw"
loclnum="134" loccnumb="4" loccnume="14"
loclnum="128" loccnumb="4" loccnume="14"
expl="13. loop invariant preservation"
sum="b64c8618316fc71a4afbf49999cf1ddc"
sum="bd1c628b4ef154780f3f286088f12f1b"
proved="true"
expanded="false"
shape="apathV6V14V15qasameV12V14V15Iainfix &lt;V15ainfix *V0V0Aainfix &lt;=c0V15Iainfix &lt;V14ainfix *V0V0Aainfix &lt;=c0V14FAainfix =asizeV12ainfix *V0V0Aainfix =ainfix +anumV12V5asizeV12Aainfix &lt;=c1anumV12Iainfix =V13V11NNIasame_reprsV12V10Aainfix =anumV12anumV10Aainfix =asizeV12asizeV10AareprV12ainfix +ainfix *V8V0V7V13FFIainfix &lt;ainfix +ainfix *V8V0V7asizeV10Aainfix &lt;=c0ainfix +ainfix *V8V0V7Iasame_reprsV10V4Aainfix =anumV10anumV4Aainfix =asizeV10asizeV4AareprV10ainfix +ainfix *iainfix =V9c0ainfix +V7c1V7V0iainfix =V9c0V8ainfix +V8c1V11FFIainfix &lt;ainfix +ainfix *iainfix =V9c0ainfix +V7c1V7V0iainfix =V9c0V8ainfix +V8c1asizeV4Aainfix &lt;=c0ainfix +ainfix *iainfix =V9c0ainfix +V7c1V7V0iainfix =V9c0V8ainfix +V8c1Iainfix &lt;ainfix +ainfix *iainfix =V9c0ainfix +V7c1V7V0iainfix =V9c0V8ainfix +V8c1ainfix *V0V0Aainfix &lt;=c0ainfix +ainfix *iainfix =V9c0ainfix +V7c1V7V0iainfix =V9c0V8ainfix +V8c1Iainfix &lt;ainfix +ainfix *V8V0V7ainfix *V0V0Aainfix &lt;=c0ainfix +ainfix *V8V0V7Iainfix &lt;iainfix =V9c0V8ainfix +V8c1V0Aainfix &lt;iainfix =V9c0ainfix +V7c1V7V0Iainfix &lt;V9c2Aainfix &lt;=c0V9FIainfix &lt;c0c2Iainfix &lt;V8V0Aainfix &lt;=c0V8FIainfix &lt;c0V0Iainfix &lt;V7V0Aainfix &lt;=c0V7FIainfix &lt;c0V0Iainfix &gt;anumV4c1IapathV6V16V17qasameV4V16V17Iainfix &lt;V17ainfix *V0V0Aainfix &lt;=c0V17Iainfix &lt;V16ainfix *V0V0Aainfix &lt;=c0V16FAainfix =asizeV4ainfix *V0V0Aainfix =ainfix +anumV4V5asizeV4Aainfix &lt;=c1anumV4FIainfix =V18V19AareprV3V18V18AareprV3V18V19IasameV3V18V19Iainfix &lt;V19ainfix *V0V0Aainfix &lt;=c0V19Iainfix &lt;V18ainfix *V0V0Aainfix &lt;=c0V18FIareprV3V20V20Iainfix &lt;V20ainfix *V0V0Aainfix &lt;=c0V20FAainfix =asizeV3ainfix *V0V0Aainfix =anumV3ainfix *V0V0FIainfix &lt;=c0ainfix *V0V0IapathV2V21V22qainfix =V21V22FAainfix =V1c0Aainfix &lt;=c1V0FF">
......@@ -457,15 +450,15 @@
memlimit="1000"
obsolete="false"
archived="false">
<result status="valid" time="0.49"/>
<result status="valid" time="1.09"/>
</proof>
</goal>
<goal
name="WP_parameter build_maze.14"
locfile="../vacid_0_build_maze.mlw"
loclnum="134" loccnumb="4" loccnume="14"
loclnum="128" loccnumb="4" loccnume="14"
expl="14. loop invariant preservation"
sum="c689fb107fcf4602096278d3e2bc9fd6"
sum="d3412452bd7ec8e5121155847fdd821e"
proved="true"
expanded="false"
shape="apathV6V10V11qasameV4V10V11Iainfix &lt;V11ainfix *V0V0Aainfix &lt;=c0V11Iainfix &lt;V10ainfix *V0V0Aainfix &lt;=c0V10FAainfix =asizeV4ainfix *V0V0Aainfix =ainfix +anumV4V5asizeV4Aainfix &lt;=c1anumV4Iainfix &lt;iainfix =V9c0V8ainfix +V8c1V0Aainfix &lt;iainfix =V9c0ainfix +V7c1V7V0NIainfix &lt;V9c2Aainfix &lt;=c0V9FIainfix &lt;c0c2Iainfix &lt;V8V0Aainfix &lt;=c0V8FIainfix &lt;c0V0Iainfix &lt;V7V0Aainfix &lt;=c0V7FIainfix &lt;c0V0Iainfix &gt;anumV4c1IapathV6V12V13qasameV4V12V13Iainfix &lt;V13ainfix *V0V0Aainfix &lt;=c0V13Iainfix &lt;V12ainfix *V0V0Aainfix &lt;=c0V12FAainfix =asizeV4ainfix *V0V0Aainfix =ainfix +anumV4V5asizeV4Aainfix &lt;=c1anumV4FIainfix =V14V15AareprV3V14V14AareprV3V14V15IasameV3V14V15Iainfix &lt;V15ainfix *V0V0Aainfix &lt;=c0V15Iainfix &lt;V14ainfix *V0V0Aainfix &lt;=c0V14FIareprV3V16V16Iainfix &lt;V16ainfix *V0V0Aainfix &lt;=c0V16FAainfix =asizeV3ainfix *V0V0Aainfix =anumV3ainfix *V0V0FIainfix &lt;=c0ainfix *V0V0IapathV2V17V18qainfix =V17V18FAainfix =V1c0Aainfix &lt;=c1V0FF">
......@@ -483,9 +476,9 @@
<goal
name="WP_parameter build_maze.15"
locfile="../vacid_0_build_maze.mlw"
loclnum="134" loccnumb="4" loccnume="14"
loclnum="128" loccnumb="4" loccnume="14"
expl="15. postcondition"
sum="85603788cd071284d4415cf8ba30a4ee"
sum="9849a30773cf645d285ecd904481c00c"
proved="true"
expanded="false"
shape="apathV6V7V8Iainfix &lt;V8ainfix *V0V0Aainfix &lt;=c0V8Iainfix &lt;V7ainfix *V0V0Aainfix &lt;=c0V7FAainfix =V5ainfix -ainfix *V0V0c1Iainfix &gt;anumV4c1NIapathV6V9V10qasameV4V9V10Iainfix &lt;V10ainfix *V0V0Aainfix &lt;=c0V10Iainfix &lt;V9ainfix *V0V0Aainfix &lt;=c0V9FAainfix =asizeV4ainfix *V0V0Aainfix =ainfix +anumV4V5asizeV4Aainfix &lt;=c1anumV4FIainfix =V11V12AareprV3V11V11AareprV3V11V12IasameV3V11V12Iainfix &lt;V12ainfix *V0V0Aainfix &lt;=c0V12Iainfix &lt;V11ainfix *V0V0Aainfix &lt;=c0V11FIareprV3V13V13Iainfix &lt;V13ainfix *V0V0Aainfix &lt;=c0V13FAainfix =asizeV3ainfix *V0V0Aainfix =anumV3ainfix *V0V0FIainfix &lt;=c0ainfix *V0V0IapathV2V14V15qainfix =V14V15FAainfix =V1c0Aainfix &lt;=c1V0FF">
......
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