(0) Obligation:

JBC Problem based on JBC Program:
Manifest-Version: 1.0 Created-By: 1.6.0_16 (Sun Microsystems Inc.) Main-Class: FlattenTree
public class FlattenTree {
public static void main(String[] args) {
Random.args = args;
Tree tree = Tree.createTree();
flatten(tree);
}

public static Tree flatten(Tree start) {
Tree result = null;
Tree s,t,u;

while (start != null) {

if (start.left == null) {

result = new Tree(null,result);
start = start.right;
}
else {
s = start.left.left;
t = start.left.right;
u = start.right;
start = new Tree(s, new Tree(t,u));
}
}

return result;
}
}


public class Random {
static String[] args;
static int index = 0;

public static int random() {
String string = args[index];
index++;
return string.length();
}
}


public class Tree {
Tree left;
Tree right;
Object value;

public Tree(Tree l, Tree r) {
this.left = l;
this.right = r;
}

public Tree() {
}

public static Tree createNode() {
Tree result = new Tree();
result.value = new Object();
return result;
}

public static Tree createTree() {
int counter = Random.random();
if (counter == 0) {
return null;
}
Tree result = createNode();
Tree t = result;

while (counter > 0) {
int branch = Random.random();
if (branch > 0) {
if (t.left == null) {
t.left = createNode();
t = result;
} else {
t = t.left;
}
} else {
if (t.right == null) {
t.right = createNode();
t = result;
} else {
t = t.right;
}
}
counter--;
}

return result;
}
public static void main(String[] args) {
Random.args = args;
createTree();
}
}


(1) JBC2FIG (SOUND transformation)

Constructed FIGraph.

(2) Obligation:

FIGraph based on JBC Program:
Graph of 523 nodes with 2 SCCs.

(3) FIGtoITRSProof (SOUND transformation)

Transformed FIGraph to ITRS rules

(4) Complex Obligation (AND)

(5) Obligation:

ITRS problem:

The following function symbols are pre-defined:
!=~Neq: (Integer, Integer) -> Boolean
*~Mul: (Integer, Integer) -> Integer
>=~Ge: (Integer, Integer) -> Boolean
-1~UnaryMinus: (Integer) -> Integer
|~Bwor: (Integer, Integer) -> Integer
/~Div: (Integer, Integer) -> Integer
=~Eq: (Integer, Integer) -> Boolean
~Bwxor: (Integer, Integer) -> Integer
||~Lor: (Boolean, Boolean) -> Boolean
!~Lnot: (Boolean) -> Boolean
<~Lt: (Integer, Integer) -> Boolean
-~Sub: (Integer, Integer) -> Integer
<=~Le: (Integer, Integer) -> Boolean
>~Gt: (Integer, Integer) -> Boolean
~~Bwnot: (Integer) -> Integer
%~Mod: (Integer, Integer) -> Integer
&~Bwand: (Integer, Integer) -> Integer
+~Add: (Integer, Integer) -> Integer
&&~Land: (Boolean, Boolean) -> Boolean

The TRS R consists of the following rules:
Load13335(o13292, o13288) → NULL13590(o13292, o13288, o13288)
NULL13590(java.lang.Object(Tree(java.lang.Object(Tree(o14493, o14495)), o13801)), java.lang.Object(Tree(java.lang.Object(Tree(o14493, o14495)), o13801)), java.lang.Object(Tree(java.lang.Object(Tree(o14493, o14495)), o13801))) → JMP21373(java.lang.Object(Tree(java.lang.Object(Tree(o14493, o14495)), o13801)), java.lang.Object(Tree(o14493, java.lang.Object(Tree(o14495, o13801)))))
JMP21373(o13501, java.lang.Object(Tree(o14462, java.lang.Object(Tree(o14464, o13791))))) → Load13335(o13501, java.lang.Object(Tree(o14462, java.lang.Object(Tree(o14464, o13791)))))
NULL13590(o13501, java.lang.Object(Tree(java.lang.Object(Tree(o14462, o14464)), o13791)), java.lang.Object(Tree(java.lang.Object(Tree(o14462, o14464)), o13791))) → Load13335(o13501, java.lang.Object(Tree(o14462, java.lang.Object(Tree(o14464, o13791)))))
JMP17808(o13501, o13791) → Load13335(o13501, o13791)
NULL13590(o13501, java.lang.Object(Tree(NULL, o13791)), java.lang.Object(Tree(NULL, o13791))) → Load13335(o13501, o13791)
NULL13590(java.lang.Object(Tree(NULL, o13801)), java.lang.Object(Tree(NULL, o13801)), java.lang.Object(Tree(NULL, o13801))) → JMP17808(java.lang.Object(Tree(NULL, o13801)), o13801)
The set Q consists of the following terms:
Load13335(x0, x1)
JMP21373(x0, java.lang.Object(Tree(x1, java.lang.Object(Tree(x2, x3)))))
NULL13590(x0, java.lang.Object(Tree(java.lang.Object(Tree(x1, x2)), x3)), java.lang.Object(Tree(java.lang.Object(Tree(x1, x2)), x3)))
JMP17808(x0, x1)
NULL13590(x0, java.lang.Object(Tree(NULL, x1)), java.lang.Object(Tree(NULL, x1)))

(6) DuplicateArgsRemoverProof (EQUIVALENT transformation)

Some arguments are removed because they only appear as duplicates.
We removed arguments according to the following replacements:

NULL13590(x1, x2, x3) → NULL13590(x1, x3)

(7) Obligation:

ITRS problem:

The following function symbols are pre-defined:
!=~Neq: (Integer, Integer) -> Boolean
*~Mul: (Integer, Integer) -> Integer
>=~Ge: (Integer, Integer) -> Boolean
-1~UnaryMinus: (Integer) -> Integer
|~Bwor: (Integer, Integer) -> Integer
/~Div: (Integer, Integer) -> Integer
=~Eq: (Integer, Integer) -> Boolean
~Bwxor: (Integer, Integer) -> Integer
||~Lor: (Boolean, Boolean) -> Boolean
!~Lnot: (Boolean) -> Boolean
<~Lt: (Integer, Integer) -> Boolean
-~Sub: (Integer, Integer) -> Integer
<=~Le: (Integer, Integer) -> Boolean
>~Gt: (Integer, Integer) -> Boolean
~~Bwnot: (Integer) -> Integer
%~Mod: (Integer, Integer) -> Integer
&~Bwand: (Integer, Integer) -> Integer
+~Add: (Integer, Integer) -> Integer
&&~Land: (Boolean, Boolean) -> Boolean

The TRS R consists of the following rules:
Load13335(o13292, o13288) → NULL13590(o13292, o13288)
NULL13590(java.lang.Object(Tree(java.lang.Object(Tree(o14493, o14495)), o13801)), java.lang.Object(Tree(java.lang.Object(Tree(o14493, o14495)), o13801))) → JMP21373(java.lang.Object(Tree(java.lang.Object(Tree(o14493, o14495)), o13801)), java.lang.Object(Tree(o14493, java.lang.Object(Tree(o14495, o13801)))))
JMP21373(o13501, java.lang.Object(Tree(o14462, java.lang.Object(Tree(o14464, o13791))))) → Load13335(o13501, java.lang.Object(Tree(o14462, java.lang.Object(Tree(o14464, o13791)))))
NULL13590(o13501, java.lang.Object(Tree(java.lang.Object(Tree(o14462, o14464)), o13791))) → Load13335(o13501, java.lang.Object(Tree(o14462, java.lang.Object(Tree(o14464, o13791)))))
JMP17808(o13501, o13791) → Load13335(o13501, o13791)
NULL13590(o13501, java.lang.Object(Tree(NULL, o13791))) → Load13335(o13501, o13791)
NULL13590(java.lang.Object(Tree(NULL, o13801)), java.lang.Object(Tree(NULL, o13801))) → JMP17808(java.lang.Object(Tree(NULL, o13801)), o13801)
The set Q consists of the following terms:
Load13335(x0, x1)
JMP21373(x0, java.lang.Object(Tree(x1, java.lang.Object(Tree(x2, x3)))))
NULL13590(x0, java.lang.Object(Tree(java.lang.Object(Tree(x1, x2)), x3)))
JMP17808(x0, x1)
NULL13590(x0, java.lang.Object(Tree(NULL, x1)))

(8) ITRStoQTRSProof (EQUIVALENT transformation)

Represented integers and predefined function symbols by Terms

(9) Obligation:

Q restricted rewrite system:
The TRS R consists of the following rules:

Load13335(o13292, o13288) → NULL13590(o13292, o13288)
NULL13590(java.lang.Object(Tree(java.lang.Object(Tree(o14493, o14495)), o13801)), java.lang.Object(Tree(java.lang.Object(Tree(o14493, o14495)), o13801))) → JMP21373(java.lang.Object(Tree(java.lang.Object(Tree(o14493, o14495)), o13801)), java.lang.Object(Tree(o14493, java.lang.Object(Tree(o14495, o13801)))))
JMP21373(o13501, java.lang.Object(Tree(o14462, java.lang.Object(Tree(o14464, o13791))))) → Load13335(o13501, java.lang.Object(Tree(o14462, java.lang.Object(Tree(o14464, o13791)))))
NULL13590(o13501, java.lang.Object(Tree(java.lang.Object(Tree(o14462, o14464)), o13791))) → Load13335(o13501, java.lang.Object(Tree(o14462, java.lang.Object(Tree(o14464, o13791)))))
JMP17808(o13501, o13791) → Load13335(o13501, o13791)
NULL13590(o13501, java.lang.Object(Tree(NULL, o13791))) → Load13335(o13501, o13791)
NULL13590(java.lang.Object(Tree(NULL, o13801)), java.lang.Object(Tree(NULL, o13801))) → JMP17808(java.lang.Object(Tree(NULL, o13801)), o13801)

The set Q consists of the following terms:

Load13335(x0, x1)
JMP21373(x0, java.lang.Object(Tree(x1, java.lang.Object(Tree(x2, x3)))))
NULL13590(x0, java.lang.Object(Tree(java.lang.Object(Tree(x1, x2)), x3)))
JMP17808(x0, x1)
NULL13590(x0, java.lang.Object(Tree(NULL, x1)))

(10) QTRSRRRProof (EQUIVALENT transformation)

Used ordering:
Polynomial interpretation [POLO]:

POL(JMP17808(x1, x2)) = 1 + x1 + x2   
POL(JMP21373(x1, x2)) = x1 + x2   
POL(Load13335(x1, x2)) = x1 + x2   
POL(NULL) = 0   
POL(NULL13590(x1, x2)) = x1 + x2   
POL(Tree(x1, x2)) = x1 + x2   
POL(java.lang.Object(x1)) = 2 + x1   
With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly:

JMP17808(o13501, o13791) → Load13335(o13501, o13791)
NULL13590(o13501, java.lang.Object(Tree(NULL, o13791))) → Load13335(o13501, o13791)
NULL13590(java.lang.Object(Tree(NULL, o13801)), java.lang.Object(Tree(NULL, o13801))) → JMP17808(java.lang.Object(Tree(NULL, o13801)), o13801)


(11) Obligation:

Q restricted rewrite system:
The TRS R consists of the following rules:

Load13335(o13292, o13288) → NULL13590(o13292, o13288)
NULL13590(java.lang.Object(Tree(java.lang.Object(Tree(o14493, o14495)), o13801)), java.lang.Object(Tree(java.lang.Object(Tree(o14493, o14495)), o13801))) → JMP21373(java.lang.Object(Tree(java.lang.Object(Tree(o14493, o14495)), o13801)), java.lang.Object(Tree(o14493, java.lang.Object(Tree(o14495, o13801)))))
JMP21373(o13501, java.lang.Object(Tree(o14462, java.lang.Object(Tree(o14464, o13791))))) → Load13335(o13501, java.lang.Object(Tree(o14462, java.lang.Object(Tree(o14464, o13791)))))
NULL13590(o13501, java.lang.Object(Tree(java.lang.Object(Tree(o14462, o14464)), o13791))) → Load13335(o13501, java.lang.Object(Tree(o14462, java.lang.Object(Tree(o14464, o13791)))))

The set Q consists of the following terms:

Load13335(x0, x1)
JMP21373(x0, java.lang.Object(Tree(x1, java.lang.Object(Tree(x2, x3)))))
NULL13590(x0, java.lang.Object(Tree(java.lang.Object(Tree(x1, x2)), x3)))
JMP17808(x0, x1)
NULL13590(x0, java.lang.Object(Tree(NULL, x1)))

(12) QTRSRRRProof (EQUIVALENT transformation)

Used ordering:
Polynomial interpretation [POLO]:

POL(JMP21373(x1, x2)) = 2 + x1 + x2   
POL(Load13335(x1, x2)) = x1 + x2   
POL(NULL13590(x1, x2)) = x1 + x2   
POL(Tree(x1, x2)) = 2·x1 + x2   
POL(java.lang.Object(x1)) = 2 + x1   
With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly:

JMP21373(o13501, java.lang.Object(Tree(o14462, java.lang.Object(Tree(o14464, o13791))))) → Load13335(o13501, java.lang.Object(Tree(o14462, java.lang.Object(Tree(o14464, o13791)))))
NULL13590(o13501, java.lang.Object(Tree(java.lang.Object(Tree(o14462, o14464)), o13791))) → Load13335(o13501, java.lang.Object(Tree(o14462, java.lang.Object(Tree(o14464, o13791)))))


(13) Obligation:

Q restricted rewrite system:
The TRS R consists of the following rules:

Load13335(o13292, o13288) → NULL13590(o13292, o13288)
NULL13590(java.lang.Object(Tree(java.lang.Object(Tree(o14493, o14495)), o13801)), java.lang.Object(Tree(java.lang.Object(Tree(o14493, o14495)), o13801))) → JMP21373(java.lang.Object(Tree(java.lang.Object(Tree(o14493, o14495)), o13801)), java.lang.Object(Tree(o14493, java.lang.Object(Tree(o14495, o13801)))))

The set Q consists of the following terms:

Load13335(x0, x1)
JMP21373(x0, java.lang.Object(Tree(x1, java.lang.Object(Tree(x2, x3)))))
NULL13590(x0, java.lang.Object(Tree(java.lang.Object(Tree(x1, x2)), x3)))
JMP17808(x0, x1)
NULL13590(x0, java.lang.Object(Tree(NULL, x1)))

(14) QTRSRRRProof (EQUIVALENT transformation)

Used ordering:
Polynomial interpretation [POLO]:

POL(JMP21373(x1, x2)) = x1 + x2   
POL(Load13335(x1, x2)) = 2 + x1 + x2   
POL(NULL13590(x1, x2)) = 1 + x1 + x2   
POL(Tree(x1, x2)) = x1 + x2   
POL(java.lang.Object(x1)) = x1   
With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly:

Load13335(o13292, o13288) → NULL13590(o13292, o13288)
NULL13590(java.lang.Object(Tree(java.lang.Object(Tree(o14493, o14495)), o13801)), java.lang.Object(Tree(java.lang.Object(Tree(o14493, o14495)), o13801))) → JMP21373(java.lang.Object(Tree(java.lang.Object(Tree(o14493, o14495)), o13801)), java.lang.Object(Tree(o14493, java.lang.Object(Tree(o14495, o13801)))))


(15) Obligation:

Q restricted rewrite system:
R is empty.
The set Q consists of the following terms:

Load13335(x0, x1)
JMP21373(x0, java.lang.Object(Tree(x1, java.lang.Object(Tree(x2, x3)))))
NULL13590(x0, java.lang.Object(Tree(java.lang.Object(Tree(x1, x2)), x3)))
JMP17808(x0, x1)
NULL13590(x0, java.lang.Object(Tree(NULL, x1)))

(16) RisEmptyProof (EQUIVALENT transformation)

The TRS R is empty. Hence, termination is trivially proven.

(17) TRUE

(18) Obligation:

ITRS problem:

The following function symbols are pre-defined:
!=~Neq: (Integer, Integer) -> Boolean
*~Mul: (Integer, Integer) -> Integer
>=~Ge: (Integer, Integer) -> Boolean
-1~UnaryMinus: (Integer) -> Integer
|~Bwor: (Integer, Integer) -> Integer
/~Div: (Integer, Integer) -> Integer
=~Eq: (Integer, Integer) -> Boolean
~Bwxor: (Integer, Integer) -> Integer
||~Lor: (Boolean, Boolean) -> Boolean
!~Lnot: (Boolean) -> Boolean
<~Lt: (Integer, Integer) -> Boolean
-~Sub: (Integer, Integer) -> Integer
<=~Le: (Integer, Integer) -> Boolean
>~Gt: (Integer, Integer) -> Boolean
~~Bwnot: (Integer) -> Integer
%~Mod: (Integer, Integer) -> Integer
&~Bwand: (Integer, Integer) -> Integer
+~Add: (Integer, Integer) -> Integer
&&~Land: (Boolean, Boolean) -> Boolean

The TRS R consists of the following rules:
Load17214(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(Tree(java.lang.Object(Tree(o22539Field0, o22539Field1)), o17168)), java.lang.Object(Tree(java.lang.Object(Tree(o22539Field0, o22539Field1)), o17168))) → Load17214ARR1(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(Tree(java.lang.Object(Tree(o22539Field0, o22539Field1)), o17168)), java.lang.Object(Tree(java.lang.Object(Tree(o22539Field0, o22539Field1)), o17168)), java.lang.Object(java.lang.String(i1755)))
Load17214ARR1(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(Tree(java.lang.Object(Tree(o22539Field0, o22539Field1)), o17168)), java.lang.Object(Tree(java.lang.Object(Tree(o22539Field0, o22539Field1)), o17168)), java.lang.Object(java.lang.String(i1755))) → Cond_Load17214ARR1(i1755 > 0 && i1509 > 0 && i1509 < i6 && i1519 > 0 && i1509 + 1 > 0, java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(Tree(java.lang.Object(Tree(o22539Field0, o22539Field1)), o17168)), java.lang.Object(Tree(java.lang.Object(Tree(o22539Field0, o22539Field1)), o17168)), java.lang.Object(java.lang.String(i1755)))
Cond_Load17214ARR1(TRUE, java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(Tree(java.lang.Object(Tree(o22539Field0, o22539Field1)), o17168)), java.lang.Object(Tree(java.lang.Object(Tree(o22539Field0, o22539Field1)), o17168)), java.lang.Object(java.lang.String(i1755))) → JMP22323(java.lang.Object(ARRAY(i6, a17545data)), i1509 + 1, i1519, java.lang.Object(Tree(java.lang.Object(Tree(o22539Field0, o22539Field1)), o17168)), java.lang.Object(Tree(o22539Field0, o22539Field1)))
Inc22472(java.lang.Object(ARRAY(i6, a17545data)), i1609, i1519, java.lang.Object(Tree(o17167, o17168)), java.lang.Object(Tree(o22803Field0, o22803Field1))) → Load17214(java.lang.Object(ARRAY(i6, a17545data)), i1609, i1519 + -1, java.lang.Object(Tree(o17167, o17168)), java.lang.Object(Tree(o22803Field0, o22803Field1)))
Load17214(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(Tree(o17167, o17168)), java.lang.Object(Tree(o22386, java.lang.Object(Tree(o22803Field0, o22803Field1))))) → Load17214ARR2(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(Tree(o17167, o17168)), java.lang.Object(Tree(o22386, java.lang.Object(Tree(o22803Field0, o22803Field1)))), java.lang.Object(java.lang.String(i1756)))
Load17214ARR2(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(Tree(o17167, o17168)), java.lang.Object(Tree(o22386, java.lang.Object(Tree(o22803Field0, o22803Field1)))), java.lang.Object(java.lang.String(i1756))) → Cond_Load17214ARR2(i1756 <= 0 && i1509 > 0 && i1509 < i6 && i1519 > 0 && i1509 + 1 > 0, java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(Tree(o17167, o17168)), java.lang.Object(Tree(o22386, java.lang.Object(Tree(o22803Field0, o22803Field1)))), java.lang.Object(java.lang.String(i1756)))
Cond_Load17214ARR2(TRUE, java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(Tree(o17167, o17168)), java.lang.Object(Tree(o22386, java.lang.Object(Tree(o22803Field0, o22803Field1)))), java.lang.Object(java.lang.String(i1756))) → Load17214(java.lang.Object(ARRAY(i6, a17545data)), i1509 + 1, i1519 + -1, java.lang.Object(Tree(o17167, o17168)), java.lang.Object(Tree(o22803Field0, o22803Field1)))
Inc25605(java.lang.Object(ARRAY(i6, a17545data)), i1609, i1519, java.lang.Object(Tree(o17167, o17168)), java.lang.Object(Tree(o17167, o17168))) → Load17214(java.lang.Object(ARRAY(i6, a17545data)), i1609, i1519 + -1, java.lang.Object(Tree(o17167, o17168)), java.lang.Object(Tree(o17167, o17168)))
JMP25474(java.lang.Object(ARRAY(i6, a17545data)), i1609, i1519, java.lang.Object(Tree(o17167, o17168)), java.lang.Object(Tree(o17167, o17168))) → Load17214(java.lang.Object(ARRAY(i6, a17545data)), i1609, i1519 + -1, java.lang.Object(Tree(o17167, o17168)), java.lang.Object(Tree(o17167, o17168)))
Load17214(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(Tree(o17167, o17168)), java.lang.Object(Tree(NULL, o22362))) → Load17214ARR3(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(Tree(o17167, o17168)), java.lang.Object(Tree(NULL, o22362)), java.lang.Object(java.lang.String(i1755)))
Load17214ARR3(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(Tree(o17167, o17168)), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o22362)), java.lang.Object(java.lang.String(i1755))) → Cond_Load17214ARR3(i1755 > 0 && i1509 > 0 && i1509 < i6 && i1519 > 0 && i1509 + 1 > 0, java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(Tree(o17167, o17168)), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o22362)), java.lang.Object(java.lang.String(i1755)))
Cond_Load17214ARR3(TRUE, java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(Tree(o17167, o17168)), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o22362)), java.lang.Object(java.lang.String(i1755))) → Load17214(java.lang.Object(ARRAY(i6, a17545data)), i1509 + 1, i1519 + -1, o17166new, o17166new)
JMP22323(java.lang.Object(ARRAY(i6, a17545data)), i1609, i1519, java.lang.Object(Tree(o17167, o17168)), java.lang.Object(Tree(o22755Field0, o22755Field1))) → Inc22472(java.lang.Object(ARRAY(i6, a17545data)), i1609, i1519, java.lang.Object(Tree(o17167, o17168)), java.lang.Object(Tree(o22755Field0, o22755Field1)))
Load17214(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(Tree(o17167, o17168)), java.lang.Object(Tree(java.lang.Object(Tree(o22755Field0, o22755Field1)), o22362))) → Load17214ARR4(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(Tree(o17167, o17168)), java.lang.Object(Tree(java.lang.Object(Tree(o22755Field0, o22755Field1)), o22362)), java.lang.Object(java.lang.String(i1755)))
Load17214ARR4(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(Tree(o17167, o17168)), java.lang.Object(Tree(java.lang.Object(Tree(o22755Field0, o22755Field1)), o22362)), java.lang.Object(java.lang.String(i1755))) → Cond_Load17214ARR4(i1755 > 0 && i1509 > 0 && i1509 < i6 && i1519 > 0 && i1509 + 1 > 0, java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(Tree(o17167, o17168)), java.lang.Object(Tree(java.lang.Object(Tree(o22755Field0, o22755Field1)), o22362)), java.lang.Object(java.lang.String(i1755)))
Cond_Load17214ARR4(TRUE, java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(Tree(o17167, o17168)), java.lang.Object(Tree(java.lang.Object(Tree(o22755Field0, o22755Field1)), o22362)), java.lang.Object(java.lang.String(i1755))) → Inc22472(java.lang.Object(ARRAY(i6, a17545data)), i1509 + 1, i1519, java.lang.Object(Tree(o17167, o17168)), java.lang.Object(Tree(o22755Field0, o22755Field1)))
Load17214(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(Tree(o17167, java.lang.Object(Tree(o22645Field0, o22645Field1)))), java.lang.Object(Tree(o17167, java.lang.Object(Tree(o22645Field0, o22645Field1))))) → Load17214ARR5(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(Tree(o17167, java.lang.Object(Tree(o22645Field0, o22645Field1)))), java.lang.Object(Tree(o17167, java.lang.Object(Tree(o22645Field0, o22645Field1)))), java.lang.Object(java.lang.String(i1756)))
Load17214ARR5(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(Tree(o17167, java.lang.Object(Tree(o22645Field0, o22645Field1)))), java.lang.Object(Tree(o17167, java.lang.Object(Tree(o22645Field0, o22645Field1)))), java.lang.Object(java.lang.String(i1756))) → Cond_Load17214ARR5(i1756 <= 0 && i1509 > 0 && i1509 < i6 && i1519 > 0 && i1509 + 1 > 0, java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(Tree(o17167, java.lang.Object(Tree(o22645Field0, o22645Field1)))), java.lang.Object(Tree(o17167, java.lang.Object(Tree(o22645Field0, o22645Field1)))), java.lang.Object(java.lang.String(i1756)))
Cond_Load17214ARR5(TRUE, java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(Tree(o17167, java.lang.Object(Tree(o22645Field0, o22645Field1)))), java.lang.Object(Tree(o17167, java.lang.Object(Tree(o22645Field0, o22645Field1)))), java.lang.Object(java.lang.String(i1756))) → Inc22472(java.lang.Object(ARRAY(i6, a17545data)), i1509 + 1, i1519, java.lang.Object(Tree(o17167, java.lang.Object(Tree(o22645Field0, o22645Field1)))), java.lang.Object(Tree(o22645Field0, o22645Field1)))
JMP25549(java.lang.Object(ARRAY(i6, a17545data)), i1609, i1519, java.lang.Object(Tree(o17167, o17168)), java.lang.Object(Tree(o17167, o17168))) → Inc25605(java.lang.Object(ARRAY(i6, a17545data)), i1609, i1519, java.lang.Object(Tree(o17167, o17168)), java.lang.Object(Tree(o17167, o17168)))
Load17214(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(Tree(o17167, o17168)), java.lang.Object(Tree(o22386, NULL))) → Load17214ARR6(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(Tree(o17167, o17168)), java.lang.Object(Tree(o22386, NULL)), java.lang.Object(java.lang.String(i1756)))
Load17214ARR6(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(Tree(o17167, o17168)), java.lang.Object(Tree(o22386, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(i1756))) → Cond_Load17214ARR6(i1756 <= 0 && i1509 > 0 && i1509 < i6 && i1519 > 0 && i1509 + 1 > 0, java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(Tree(o17167, o17168)), java.lang.Object(Tree(o22386, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(i1756)))
Cond_Load17214ARR6(TRUE, java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(Tree(o17167, o17168)), java.lang.Object(Tree(o22386, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(i1756))) → Inc25605(java.lang.Object(ARRAY(i6, a17545data)), i1509 + 1, i1519, o17166new, o17166new)
Load17214(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(Tree(NULL, o17168)), java.lang.Object(Tree(NULL, o17168))) → Load17214ARR7(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(Tree(NULL, o17168)), java.lang.Object(Tree(NULL, o17168)), java.lang.Object(java.lang.String(i1755)))
Load17214ARR7(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o17168)), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o17168)), java.lang.Object(java.lang.String(i1755))) → Cond_Load17214ARR7(i1755 > 0 && i1509 > 0 && i1509 < i6 && i1519 > 0 && i1509 + 1 > 0, java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o17168)), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o17168)), java.lang.Object(java.lang.String(i1755)))
Cond_Load17214ARR7(TRUE, java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o17168)), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o17168)), java.lang.Object(java.lang.String(i1755))) → JMP25474(java.lang.Object(ARRAY(i6, a17545data)), i1509 + 1, i1519, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o17168)), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o17168)))
Load17214(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(Tree(o17167, NULL)), java.lang.Object(Tree(o17167, NULL))) → Load17214ARR8(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(Tree(o17167, NULL)), java.lang.Object(Tree(o17167, NULL)), java.lang.Object(java.lang.String(i1756)))
Load17214ARR8(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(Tree(o17167, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(Tree(o17167, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(i1756))) → Cond_Load17214ARR8(i1756 <= 0 && i1509 > 0 && i1509 < i6 && i1519 > 0 && i1509 + 1 > 0, java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(Tree(o17167, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(Tree(o17167, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(i1756)))
Cond_Load17214ARR8(TRUE, java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(Tree(o17167, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(Tree(o17167, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(i1756))) → JMP25549(java.lang.Object(ARRAY(i6, a17545data)), i1509 + 1, i1519, java.lang.Object(Tree(o17167, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(Tree(o17167, java.lang.Object(Tree(NULL, NULL)))))
The set Q consists of the following terms:
Load17214ARR1(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(java.lang.Object(Tree(x4, x5)), x6)), java.lang.Object(Tree(java.lang.Object(Tree(x4, x5)), x6)), java.lang.Object(java.lang.String(x7)))
Cond_Load17214ARR1(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(java.lang.Object(Tree(x4, x5)), x6)), java.lang.Object(Tree(java.lang.Object(Tree(x4, x5)), x6)), java.lang.Object(java.lang.String(x7)))
Inc22472(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x6, x7)))
Load17214(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x6, java.lang.Object(Tree(x7, x8)))))
Load17214ARR2(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x6, java.lang.Object(Tree(x7, x8)))), java.lang.Object(java.lang.String(x9)))
Cond_Load17214ARR2(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x6, java.lang.Object(Tree(x7, x8)))), java.lang.Object(java.lang.String(x9)))
Inc25605(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x4, x5)))
JMP25474(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x4, x5)))
Load17214(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(NULL, x6)))
Load17214ARR3(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), x6)), java.lang.Object(java.lang.String(x7)))
Cond_Load17214ARR3(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), x6)), java.lang.Object(java.lang.String(x7)))
JMP22323(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x6, x7)))
Load17214(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(java.lang.Object(Tree(x6, x7)), x8)))
Load17214ARR4(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(java.lang.Object(Tree(x6, x7)), x8)), java.lang.Object(java.lang.String(x9)))
Cond_Load17214ARR4(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(java.lang.Object(Tree(x6, x7)), x8)), java.lang.Object(java.lang.String(x9)))
Load17214ARR5(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, java.lang.Object(Tree(x5, x6)))), java.lang.Object(Tree(x4, java.lang.Object(Tree(x5, x6)))), java.lang.Object(java.lang.String(x7)))
Cond_Load17214ARR5(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, java.lang.Object(Tree(x5, x6)))), java.lang.Object(Tree(x4, java.lang.Object(Tree(x5, x6)))), java.lang.Object(java.lang.String(x7)))
JMP25549(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x4, x5)))
Load17214(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x6, NULL)))
Load17214ARR6(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x6, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(x7)))
Cond_Load17214ARR6(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x6, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(x7)))
Load17214ARR7(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), x4)), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), x4)), java.lang.Object(java.lang.String(x5)))
Cond_Load17214ARR7(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), x4)), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), x4)), java.lang.Object(java.lang.String(x5)))
Load17214ARR8(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(Tree(x4, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(x5)))
Cond_Load17214ARR8(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(Tree(x4, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(x5)))

(19) DuplicateArgsRemoverProof (EQUIVALENT transformation)

Some arguments are removed because they only appear as duplicates.
We removed arguments according to the following replacements:

JMP25549(x1, x2, x3, x4, x5) → JMP25549(x1, x2, x3, x5)
Cond_Load17214ARR8(x1, x2, x3, x4, x5, x6, x7) → Cond_Load17214ARR8(x1, x2, x3, x4, x6, x7)
Load17214ARR8(x1, x2, x3, x4, x5, x6) → Load17214ARR8(x1, x2, x3, x5, x6)
JMP25474(x1, x2, x3, x4, x5) → JMP25474(x1, x2, x3, x5)
Cond_Load17214ARR7(x1, x2, x3, x4, x5, x6, x7) → Cond_Load17214ARR7(x1, x2, x3, x4, x6, x7)
Load17214ARR7(x1, x2, x3, x4, x5, x6) → Load17214ARR7(x1, x2, x3, x5, x6)
Inc25605(x1, x2, x3, x4, x5) → Inc25605(x1, x2, x3, x5)
Cond_Load17214ARR5(x1, x2, x3, x4, x5, x6, x7) → Cond_Load17214ARR5(x1, x2, x3, x4, x6, x7)
Load17214ARR5(x1, x2, x3, x4, x5, x6) → Load17214ARR5(x1, x2, x3, x5, x6)
Cond_Load17214ARR1(x1, x2, x3, x4, x5, x6, x7) → Cond_Load17214ARR1(x1, x2, x3, x4, x6, x7)
Load17214ARR1(x1, x2, x3, x4, x5, x6) → Load17214ARR1(x1, x2, x3, x5, x6)

(20) Obligation:

ITRS problem:

The following function symbols are pre-defined:
!=~Neq: (Integer, Integer) -> Boolean
*~Mul: (Integer, Integer) -> Integer
>=~Ge: (Integer, Integer) -> Boolean
-1~UnaryMinus: (Integer) -> Integer
|~Bwor: (Integer, Integer) -> Integer
/~Div: (Integer, Integer) -> Integer
=~Eq: (Integer, Integer) -> Boolean
~Bwxor: (Integer, Integer) -> Integer
||~Lor: (Boolean, Boolean) -> Boolean
!~Lnot: (Boolean) -> Boolean
<~Lt: (Integer, Integer) -> Boolean
-~Sub: (Integer, Integer) -> Integer
<=~Le: (Integer, Integer) -> Boolean
>~Gt: (Integer, Integer) -> Boolean
~~Bwnot: (Integer) -> Integer
%~Mod: (Integer, Integer) -> Integer
&~Bwand: (Integer, Integer) -> Integer
+~Add: (Integer, Integer) -> Integer
&&~Land: (Boolean, Boolean) -> Boolean

The TRS R consists of the following rules:
Load17214(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(Tree(java.lang.Object(Tree(o22539Field0, o22539Field1)), o17168)), java.lang.Object(Tree(java.lang.Object(Tree(o22539Field0, o22539Field1)), o17168))) → Load17214ARR1(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(Tree(java.lang.Object(Tree(o22539Field0, o22539Field1)), o17168)), java.lang.Object(java.lang.String(i1755)))
Load17214ARR1(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(Tree(java.lang.Object(Tree(o22539Field0, o22539Field1)), o17168)), java.lang.Object(java.lang.String(i1755))) → Cond_Load17214ARR1(i1755 > 0 && i1509 > 0 && i1509 < i6 && i1519 > 0 && i1509 + 1 > 0, java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(Tree(java.lang.Object(Tree(o22539Field0, o22539Field1)), o17168)), java.lang.Object(java.lang.String(i1755)))
Cond_Load17214ARR1(TRUE, java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(Tree(java.lang.Object(Tree(o22539Field0, o22539Field1)), o17168)), java.lang.Object(java.lang.String(i1755))) → JMP22323(java.lang.Object(ARRAY(i6, a17545data)), i1509 + 1, i1519, java.lang.Object(Tree(java.lang.Object(Tree(o22539Field0, o22539Field1)), o17168)), java.lang.Object(Tree(o22539Field0, o22539Field1)))
Inc22472(java.lang.Object(ARRAY(i6, a17545data)), i1609, i1519, java.lang.Object(Tree(o17167, o17168)), java.lang.Object(Tree(o22803Field0, o22803Field1))) → Load17214(java.lang.Object(ARRAY(i6, a17545data)), i1609, i1519 + -1, java.lang.Object(Tree(o17167, o17168)), java.lang.Object(Tree(o22803Field0, o22803Field1)))
Load17214(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(Tree(o17167, o17168)), java.lang.Object(Tree(o22386, java.lang.Object(Tree(o22803Field0, o22803Field1))))) → Load17214ARR2(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(Tree(o17167, o17168)), java.lang.Object(Tree(o22386, java.lang.Object(Tree(o22803Field0, o22803Field1)))), java.lang.Object(java.lang.String(i1756)))
Load17214ARR2(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(Tree(o17167, o17168)), java.lang.Object(Tree(o22386, java.lang.Object(Tree(o22803Field0, o22803Field1)))), java.lang.Object(java.lang.String(i1756))) → Cond_Load17214ARR2(i1756 <= 0 && i1509 > 0 && i1509 < i6 && i1519 > 0 && i1509 + 1 > 0, java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(Tree(o17167, o17168)), java.lang.Object(Tree(o22386, java.lang.Object(Tree(o22803Field0, o22803Field1)))), java.lang.Object(java.lang.String(i1756)))
Cond_Load17214ARR2(TRUE, java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(Tree(o17167, o17168)), java.lang.Object(Tree(o22386, java.lang.Object(Tree(o22803Field0, o22803Field1)))), java.lang.Object(java.lang.String(i1756))) → Load17214(java.lang.Object(ARRAY(i6, a17545data)), i1509 + 1, i1519 + -1, java.lang.Object(Tree(o17167, o17168)), java.lang.Object(Tree(o22803Field0, o22803Field1)))
Inc25605(java.lang.Object(ARRAY(i6, a17545data)), i1609, i1519, java.lang.Object(Tree(o17167, o17168))) → Load17214(java.lang.Object(ARRAY(i6, a17545data)), i1609, i1519 + -1, java.lang.Object(Tree(o17167, o17168)), java.lang.Object(Tree(o17167, o17168)))
JMP25474(java.lang.Object(ARRAY(i6, a17545data)), i1609, i1519, java.lang.Object(Tree(o17167, o17168))) → Load17214(java.lang.Object(ARRAY(i6, a17545data)), i1609, i1519 + -1, java.lang.Object(Tree(o17167, o17168)), java.lang.Object(Tree(o17167, o17168)))
Load17214(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(Tree(o17167, o17168)), java.lang.Object(Tree(NULL, o22362))) → Load17214ARR3(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(Tree(o17167, o17168)), java.lang.Object(Tree(NULL, o22362)), java.lang.Object(java.lang.String(i1755)))
Load17214ARR3(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(Tree(o17167, o17168)), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o22362)), java.lang.Object(java.lang.String(i1755))) → Cond_Load17214ARR3(i1755 > 0 && i1509 > 0 && i1509 < i6 && i1519 > 0 && i1509 + 1 > 0, java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(Tree(o17167, o17168)), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o22362)), java.lang.Object(java.lang.String(i1755)))
Cond_Load17214ARR3(TRUE, java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(Tree(o17167, o17168)), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o22362)), java.lang.Object(java.lang.String(i1755))) → Load17214(java.lang.Object(ARRAY(i6, a17545data)), i1509 + 1, i1519 + -1, o17166new, o17166new)
JMP22323(java.lang.Object(ARRAY(i6, a17545data)), i1609, i1519, java.lang.Object(Tree(o17167, o17168)), java.lang.Object(Tree(o22755Field0, o22755Field1))) → Inc22472(java.lang.Object(ARRAY(i6, a17545data)), i1609, i1519, java.lang.Object(Tree(o17167, o17168)), java.lang.Object(Tree(o22755Field0, o22755Field1)))
Load17214(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(Tree(o17167, o17168)), java.lang.Object(Tree(java.lang.Object(Tree(o22755Field0, o22755Field1)), o22362))) → Load17214ARR4(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(Tree(o17167, o17168)), java.lang.Object(Tree(java.lang.Object(Tree(o22755Field0, o22755Field1)), o22362)), java.lang.Object(java.lang.String(i1755)))
Load17214ARR4(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(Tree(o17167, o17168)), java.lang.Object(Tree(java.lang.Object(Tree(o22755Field0, o22755Field1)), o22362)), java.lang.Object(java.lang.String(i1755))) → Cond_Load17214ARR4(i1755 > 0 && i1509 > 0 && i1509 < i6 && i1519 > 0 && i1509 + 1 > 0, java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(Tree(o17167, o17168)), java.lang.Object(Tree(java.lang.Object(Tree(o22755Field0, o22755Field1)), o22362)), java.lang.Object(java.lang.String(i1755)))
Cond_Load17214ARR4(TRUE, java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(Tree(o17167, o17168)), java.lang.Object(Tree(java.lang.Object(Tree(o22755Field0, o22755Field1)), o22362)), java.lang.Object(java.lang.String(i1755))) → Inc22472(java.lang.Object(ARRAY(i6, a17545data)), i1509 + 1, i1519, java.lang.Object(Tree(o17167, o17168)), java.lang.Object(Tree(o22755Field0, o22755Field1)))
Load17214(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(Tree(o17167, java.lang.Object(Tree(o22645Field0, o22645Field1)))), java.lang.Object(Tree(o17167, java.lang.Object(Tree(o22645Field0, o22645Field1))))) → Load17214ARR5(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(Tree(o17167, java.lang.Object(Tree(o22645Field0, o22645Field1)))), java.lang.Object(java.lang.String(i1756)))
Load17214ARR5(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(Tree(o17167, java.lang.Object(Tree(o22645Field0, o22645Field1)))), java.lang.Object(java.lang.String(i1756))) → Cond_Load17214ARR5(i1756 <= 0 && i1509 > 0 && i1509 < i6 && i1519 > 0 && i1509 + 1 > 0, java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(Tree(o17167, java.lang.Object(Tree(o22645Field0, o22645Field1)))), java.lang.Object(java.lang.String(i1756)))
Cond_Load17214ARR5(TRUE, java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(Tree(o17167, java.lang.Object(Tree(o22645Field0, o22645Field1)))), java.lang.Object(java.lang.String(i1756))) → Inc22472(java.lang.Object(ARRAY(i6, a17545data)), i1509 + 1, i1519, java.lang.Object(Tree(o17167, java.lang.Object(Tree(o22645Field0, o22645Field1)))), java.lang.Object(Tree(o22645Field0, o22645Field1)))
JMP25549(java.lang.Object(ARRAY(i6, a17545data)), i1609, i1519, java.lang.Object(Tree(o17167, o17168))) → Inc25605(java.lang.Object(ARRAY(i6, a17545data)), i1609, i1519, java.lang.Object(Tree(o17167, o17168)))
Load17214(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(Tree(o17167, o17168)), java.lang.Object(Tree(o22386, NULL))) → Load17214ARR6(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(Tree(o17167, o17168)), java.lang.Object(Tree(o22386, NULL)), java.lang.Object(java.lang.String(i1756)))
Load17214ARR6(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(Tree(o17167, o17168)), java.lang.Object(Tree(o22386, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(i1756))) → Cond_Load17214ARR6(i1756 <= 0 && i1509 > 0 && i1509 < i6 && i1519 > 0 && i1509 + 1 > 0, java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(Tree(o17167, o17168)), java.lang.Object(Tree(o22386, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(i1756)))
Cond_Load17214ARR6(TRUE, java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(Tree(o17167, o17168)), java.lang.Object(Tree(o22386, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(i1756))) → Inc25605(java.lang.Object(ARRAY(i6, a17545data)), i1509 + 1, i1519, o17166new)
Load17214(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(Tree(NULL, o17168)), java.lang.Object(Tree(NULL, o17168))) → Load17214ARR7(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(Tree(NULL, o17168)), java.lang.Object(java.lang.String(i1755)))
Load17214ARR7(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o17168)), java.lang.Object(java.lang.String(i1755))) → Cond_Load17214ARR7(i1755 > 0 && i1509 > 0 && i1509 < i6 && i1519 > 0 && i1509 + 1 > 0, java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o17168)), java.lang.Object(java.lang.String(i1755)))
Cond_Load17214ARR7(TRUE, java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o17168)), java.lang.Object(java.lang.String(i1755))) → JMP25474(java.lang.Object(ARRAY(i6, a17545data)), i1509 + 1, i1519, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o17168)))
Load17214(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(Tree(o17167, NULL)), java.lang.Object(Tree(o17167, NULL))) → Load17214ARR8(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(Tree(o17167, NULL)), java.lang.Object(java.lang.String(i1756)))
Load17214ARR8(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(Tree(o17167, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(i1756))) → Cond_Load17214ARR8(i1756 <= 0 && i1509 > 0 && i1509 < i6 && i1519 > 0 && i1509 + 1 > 0, java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(Tree(o17167, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(i1756)))
Cond_Load17214ARR8(TRUE, java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(Tree(o17167, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(i1756))) → JMP25549(java.lang.Object(ARRAY(i6, a17545data)), i1509 + 1, i1519, java.lang.Object(Tree(o17167, java.lang.Object(Tree(NULL, NULL)))))
The set Q consists of the following terms:
Load17214ARR1(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(java.lang.Object(Tree(x4, x5)), x6)), java.lang.Object(java.lang.String(x7)))
Cond_Load17214ARR1(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(java.lang.Object(Tree(x4, x5)), x6)), java.lang.Object(java.lang.String(x7)))
Inc22472(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x6, x7)))
Load17214(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x6, java.lang.Object(Tree(x7, x8)))))
Load17214ARR2(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x6, java.lang.Object(Tree(x7, x8)))), java.lang.Object(java.lang.String(x9)))
Cond_Load17214ARR2(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x6, java.lang.Object(Tree(x7, x8)))), java.lang.Object(java.lang.String(x9)))
Inc25605(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)))
JMP25474(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)))
Load17214(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(NULL, x6)))
Load17214ARR3(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), x6)), java.lang.Object(java.lang.String(x7)))
Cond_Load17214ARR3(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), x6)), java.lang.Object(java.lang.String(x7)))
JMP22323(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x6, x7)))
Load17214(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(java.lang.Object(Tree(x6, x7)), x8)))
Load17214ARR4(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(java.lang.Object(Tree(x6, x7)), x8)), java.lang.Object(java.lang.String(x9)))
Cond_Load17214ARR4(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(java.lang.Object(Tree(x6, x7)), x8)), java.lang.Object(java.lang.String(x9)))
Load17214ARR5(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, java.lang.Object(Tree(x5, x6)))), java.lang.Object(java.lang.String(x7)))
Cond_Load17214ARR5(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, java.lang.Object(Tree(x5, x6)))), java.lang.Object(java.lang.String(x7)))
JMP25549(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)))
Load17214(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x6, NULL)))
Load17214ARR6(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x6, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(x7)))
Cond_Load17214ARR6(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x6, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(x7)))
Load17214ARR7(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), x4)), java.lang.Object(java.lang.String(x5)))
Cond_Load17214ARR7(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), x4)), java.lang.Object(java.lang.String(x5)))
Load17214ARR8(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(x5)))
Cond_Load17214ARR8(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(x5)))

(21) ITRSFilterProcessorProof (SOUND transformation)

We filter according the heuristic IdpCand1ShapeHeuristic
We removed arguments according to the following replacements:

Load17214(x1, x2, x3, x4, x5) → Load17214(x1, x2, x3)
Tree(x1, x2) → Tree
Load17214ARR1(x1, x2, x3, x4, x5) → Load17214ARR1(x1, x2, x3, x5)
Cond_Load17214ARR1(x1, x2, x3, x4, x5, x6) → Cond_Load17214ARR1(x1, x2, x3, x4, x6)
JMP22323(x1, x2, x3, x4, x5) → JMP22323(x1, x2, x3)
Inc22472(x1, x2, x3, x4, x5) → Inc22472(x1, x2, x3)
Load17214ARR2(x1, x2, x3, x4, x5, x6) → Load17214ARR2(x1, x2, x3, x6)
Cond_Load17214ARR2(x1, x2, x3, x4, x5, x6, x7) → Cond_Load17214ARR2(x1, x2, x3, x4, x7)
Inc25605(x1, x2, x3, x4) → Inc25605(x1, x2, x3)
JMP25474(x1, x2, x3, x4) → JMP25474(x1, x2, x3)
Load17214ARR3(x1, x2, x3, x4, x5, x6) → Load17214ARR3(x1, x2, x3, x6)
Cond_Load17214ARR3(x1, x2, x3, x4, x5, x6, x7) → Cond_Load17214ARR3(x1, x2, x3, x4, x7)
Load17214ARR4(x1, x2, x3, x4, x5, x6) → Load17214ARR4(x1, x2, x3, x6)
Cond_Load17214ARR4(x1, x2, x3, x4, x5, x6, x7) → Cond_Load17214ARR4(x1, x2, x3, x4, x7)
Load17214ARR5(x1, x2, x3, x4, x5) → Load17214ARR5(x1, x2, x3, x5)
Cond_Load17214ARR5(x1, x2, x3, x4, x5, x6) → Cond_Load17214ARR5(x1, x2, x3, x4, x6)
JMP25549(x1, x2, x3, x4) → JMP25549(x1, x2, x3)
Load17214ARR6(x1, x2, x3, x4, x5, x6) → Load17214ARR6(x1, x2, x3, x6)
Cond_Load17214ARR6(x1, x2, x3, x4, x5, x6, x7) → Cond_Load17214ARR6(x1, x2, x3, x4, x7)
Load17214ARR7(x1, x2, x3, x4, x5) → Load17214ARR7(x1, x2, x3, x5)
Cond_Load17214ARR7(x1, x2, x3, x4, x5, x6) → Cond_Load17214ARR7(x1, x2, x3, x4, x6)
Load17214ARR8(x1, x2, x3, x4, x5) → Load17214ARR8(x1, x2, x3, x5)
Cond_Load17214ARR8(x1, x2, x3, x4, x5, x6) → Cond_Load17214ARR8(x1, x2, x3, x4, x6)

(22) Obligation:

ITRS problem:

The following function symbols are pre-defined:
!=~Neq: (Integer, Integer) -> Boolean
*~Mul: (Integer, Integer) -> Integer
>=~Ge: (Integer, Integer) -> Boolean
-1~UnaryMinus: (Integer) -> Integer
|~Bwor: (Integer, Integer) -> Integer
/~Div: (Integer, Integer) -> Integer
=~Eq: (Integer, Integer) -> Boolean
~Bwxor: (Integer, Integer) -> Integer
||~Lor: (Boolean, Boolean) -> Boolean
!~Lnot: (Boolean) -> Boolean
<~Lt: (Integer, Integer) -> Boolean
-~Sub: (Integer, Integer) -> Integer
<=~Le: (Integer, Integer) -> Boolean
>~Gt: (Integer, Integer) -> Boolean
~~Bwnot: (Integer) -> Integer
%~Mod: (Integer, Integer) -> Integer
&~Bwand: (Integer, Integer) -> Integer
+~Add: (Integer, Integer) -> Integer
&&~Land: (Boolean, Boolean) -> Boolean

The TRS R consists of the following rules:
Load17214(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519) → Load17214ARR1(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1755)))
Load17214ARR1(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1755))) → Cond_Load17214ARR1(i1755 > 0 && i1509 > 0 && i1509 < i6 && i1519 > 0 && i1509 + 1 > 0, java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1755)))
Cond_Load17214ARR1(TRUE, java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1755))) → JMP22323(java.lang.Object(ARRAY(i6, a17545data)), i1509 + 1, i1519)
Inc22472(java.lang.Object(ARRAY(i6, a17545data)), i1609, i1519) → Load17214(java.lang.Object(ARRAY(i6, a17545data)), i1609, i1519 + -1)
Load17214(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519) → Load17214ARR2(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1756)))
Load17214ARR2(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1756))) → Cond_Load17214ARR2(i1756 <= 0 && i1509 > 0 && i1509 < i6 && i1519 > 0 && i1509 + 1 > 0, java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1756)))
Cond_Load17214ARR2(TRUE, java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1756))) → Load17214(java.lang.Object(ARRAY(i6, a17545data)), i1509 + 1, i1519 + -1)
Inc25605(java.lang.Object(ARRAY(i6, a17545data)), i1609, i1519) → Load17214(java.lang.Object(ARRAY(i6, a17545data)), i1609, i1519 + -1)
JMP25474(java.lang.Object(ARRAY(i6, a17545data)), i1609, i1519) → Load17214(java.lang.Object(ARRAY(i6, a17545data)), i1609, i1519 + -1)
Load17214(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519) → Load17214ARR3(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1755)))
Load17214ARR3(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1755))) → Cond_Load17214ARR3(i1755 > 0 && i1509 > 0 && i1509 < i6 && i1519 > 0 && i1509 + 1 > 0, java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1755)))
Cond_Load17214ARR3(TRUE, java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1755))) → Load17214(java.lang.Object(ARRAY(i6, a17545data)), i1509 + 1, i1519 + -1)
JMP22323(java.lang.Object(ARRAY(i6, a17545data)), i1609, i1519) → Inc22472(java.lang.Object(ARRAY(i6, a17545data)), i1609, i1519)
Load17214(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519) → Load17214ARR4(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1755)))
Load17214ARR4(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1755))) → Cond_Load17214ARR4(i1755 > 0 && i1509 > 0 && i1509 < i6 && i1519 > 0 && i1509 + 1 > 0, java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1755)))
Cond_Load17214ARR4(TRUE, java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1755))) → Inc22472(java.lang.Object(ARRAY(i6, a17545data)), i1509 + 1, i1519)
Load17214(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519) → Load17214ARR5(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1756)))
Load17214ARR5(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1756))) → Cond_Load17214ARR5(i1756 <= 0 && i1509 > 0 && i1509 < i6 && i1519 > 0 && i1509 + 1 > 0, java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1756)))
Cond_Load17214ARR5(TRUE, java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1756))) → Inc22472(java.lang.Object(ARRAY(i6, a17545data)), i1509 + 1, i1519)
JMP25549(java.lang.Object(ARRAY(i6, a17545data)), i1609, i1519) → Inc25605(java.lang.Object(ARRAY(i6, a17545data)), i1609, i1519)
Load17214(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519) → Load17214ARR6(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1756)))
Load17214ARR6(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1756))) → Cond_Load17214ARR6(i1756 <= 0 && i1509 > 0 && i1509 < i6 && i1519 > 0 && i1509 + 1 > 0, java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1756)))
Cond_Load17214ARR6(TRUE, java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1756))) → Inc25605(java.lang.Object(ARRAY(i6, a17545data)), i1509 + 1, i1519)
Load17214(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519) → Load17214ARR7(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1755)))
Load17214ARR7(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1755))) → Cond_Load17214ARR7(i1755 > 0 && i1509 > 0 && i1509 < i6 && i1519 > 0 && i1509 + 1 > 0, java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1755)))
Cond_Load17214ARR7(TRUE, java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1755))) → JMP25474(java.lang.Object(ARRAY(i6, a17545data)), i1509 + 1, i1519)
Load17214(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519) → Load17214ARR8(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1756)))
Load17214ARR8(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1756))) → Cond_Load17214ARR8(i1756 <= 0 && i1509 > 0 && i1509 < i6 && i1519 > 0 && i1509 + 1 > 0, java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1756)))
Cond_Load17214ARR8(TRUE, java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1756))) → JMP25549(java.lang.Object(ARRAY(i6, a17545data)), i1509 + 1, i1519)
The set Q consists of the following terms:
Load17214(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load17214ARR1(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load17214ARR1(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Inc22472(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load17214ARR2(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load17214ARR2(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Inc25605(java.lang.Object(ARRAY(x0, x1)), x2, x3)
JMP25474(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load17214ARR3(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load17214ARR3(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
JMP22323(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load17214ARR4(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load17214ARR4(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Load17214ARR5(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load17214ARR5(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
JMP25549(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load17214ARR6(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load17214ARR6(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Load17214ARR7(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load17214ARR7(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Load17214ARR8(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load17214ARR8(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))

(23) ITRSFSMergerProof (SOUND transformation)

The following function symbols have been merged:

Load17214ARR4, Load17214ARR7
> Load17214ARR4_4

Cond_Load17214ARR4, Cond_Load17214ARR7
> Cond_Load17214ARR4_5

Inc22472, Inc25605, JMP25474
> Inc22472_3

Load17214ARR5, Load17214ARR6
> Load17214ARR5_4

JMP22323, JMP25549
> JMP22323_3

Cond_Load17214ARR5, Cond_Load17214ARR6
> Cond_Load17214ARR5_5

(24) Obligation:

ITRS problem:

The following function symbols are pre-defined:
!=~Neq: (Integer, Integer) -> Boolean
*~Mul: (Integer, Integer) -> Integer
>=~Ge: (Integer, Integer) -> Boolean
-1~UnaryMinus: (Integer) -> Integer
|~Bwor: (Integer, Integer) -> Integer
/~Div: (Integer, Integer) -> Integer
=~Eq: (Integer, Integer) -> Boolean
~Bwxor: (Integer, Integer) -> Integer
||~Lor: (Boolean, Boolean) -> Boolean
!~Lnot: (Boolean) -> Boolean
<~Lt: (Integer, Integer) -> Boolean
-~Sub: (Integer, Integer) -> Integer
<=~Le: (Integer, Integer) -> Boolean
>~Gt: (Integer, Integer) -> Boolean
~~Bwnot: (Integer) -> Integer
%~Mod: (Integer, Integer) -> Integer
&~Bwand: (Integer, Integer) -> Integer
+~Add: (Integer, Integer) -> Integer
&&~Land: (Boolean, Boolean) -> Boolean

The TRS R consists of the following rules:
Load17214(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519) → Load17214ARR1(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1755)))
Load17214ARR1(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1755))) → Cond_Load17214ARR1(i1755 > 0 && i1509 > 0 && i1509 < i6 && i1519 > 0 && i1509 + 1 > 0, java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1755)))
Cond_Load17214ARR1(TRUE, java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1755))) → JMP22323(java.lang.Object(ARRAY(i6, a17545data)), i1509 + 1, i1519)
Inc22472(java.lang.Object(ARRAY(i6, a17545data)), i1609, i1519) → Load17214(java.lang.Object(ARRAY(i6, a17545data)), i1609, i1519 + -1)
Load17214(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519) → Load17214ARR2(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1756)))
Load17214ARR2(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1756))) → Cond_Load17214ARR2(i1756 <= 0 && i1509 > 0 && i1509 < i6 && i1519 > 0 && i1509 + 1 > 0, java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1756)))
Cond_Load17214ARR2(TRUE, java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1756))) → Load17214(java.lang.Object(ARRAY(i6, a17545data)), i1509 + 1, i1519 + -1)
Load17214(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519) → Load17214ARR3(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1755)))
Load17214ARR3(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1755))) → Cond_Load17214ARR3(i1755 > 0 && i1509 > 0 && i1509 < i6 && i1519 > 0 && i1509 + 1 > 0, java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1755)))
Cond_Load17214ARR3(TRUE, java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1755))) → Load17214(java.lang.Object(ARRAY(i6, a17545data)), i1509 + 1, i1519 + -1)
JMP22323(java.lang.Object(ARRAY(i6, a17545data)), i1609, i1519) → Inc22472(java.lang.Object(ARRAY(i6, a17545data)), i1609, i1519)
Load17214(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519) → Load17214ARR4(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1755)))
Load17214ARR4(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1755))) → Cond_Load17214ARR4(i1755 > 0 && i1509 > 0 && i1509 < i6 && i1519 > 0 && i1509 + 1 > 0, java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1755)))
Cond_Load17214ARR4(TRUE, java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1755))) → Inc22472(java.lang.Object(ARRAY(i6, a17545data)), i1509 + 1, i1519)
Load17214(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519) → Load17214ARR5(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1756)))
Load17214ARR5(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1756))) → Cond_Load17214ARR5(i1756 <= 0 && i1509 > 0 && i1509 < i6 && i1519 > 0 && i1509 + 1 > 0, java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1756)))
Cond_Load17214ARR5(TRUE, java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1756))) → Inc22472(java.lang.Object(ARRAY(i6, a17545data)), i1509 + 1, i1519)
Load17214(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519) → Load17214ARR8(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1756)))
Load17214ARR8(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1756))) → Cond_Load17214ARR8(i1756 <= 0 && i1509 > 0 && i1509 < i6 && i1519 > 0 && i1509 + 1 > 0, java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1756)))
Cond_Load17214ARR8(TRUE, java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1756))) → JMP22323(java.lang.Object(ARRAY(i6, a17545data)), i1509 + 1, i1519)
The set Q consists of the following terms:
Load17214(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load17214ARR1(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load17214ARR1(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Inc22472(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load17214ARR2(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load17214ARR2(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Load17214ARR3(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load17214ARR3(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
JMP22323(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load17214ARR4(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load17214ARR4(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Load17214ARR5(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load17214ARR5(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Load17214ARR8(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load17214ARR8(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))

(25) ITRStoIDPProof (EQUIVALENT transformation)

Added dependency pairs

(26) Obligation:

IDP problem:
The following function symbols are pre-defined:
!=~Neq: (Integer, Integer) -> Boolean
*~Mul: (Integer, Integer) -> Integer
>=~Ge: (Integer, Integer) -> Boolean
-1~UnaryMinus: (Integer) -> Integer
|~Bwor: (Integer, Integer) -> Integer
/~Div: (Integer, Integer) -> Integer
=~Eq: (Integer, Integer) -> Boolean
~Bwxor: (Integer, Integer) -> Integer
||~Lor: (Boolean, Boolean) -> Boolean
!~Lnot: (Boolean) -> Boolean
<~Lt: (Integer, Integer) -> Boolean
-~Sub: (Integer, Integer) -> Integer
<=~Le: (Integer, Integer) -> Boolean
>~Gt: (Integer, Integer) -> Boolean
~~Bwnot: (Integer) -> Integer
%~Mod: (Integer, Integer) -> Integer
&~Bwand: (Integer, Integer) -> Integer
+~Add: (Integer, Integer) -> Integer
&&~Land: (Boolean, Boolean) -> Boolean


The following domains are used:

Boolean, Integer


The ITRS R consists of the following rules:
Load17214(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519) → Load17214ARR1(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1755)))
Load17214ARR1(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1755))) → Cond_Load17214ARR1(i1755 > 0 && i1509 > 0 && i1509 < i6 && i1519 > 0 && i1509 + 1 > 0, java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1755)))
Cond_Load17214ARR1(TRUE, java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1755))) → JMP22323(java.lang.Object(ARRAY(i6, a17545data)), i1509 + 1, i1519)
Inc22472(java.lang.Object(ARRAY(i6, a17545data)), i1609, i1519) → Load17214(java.lang.Object(ARRAY(i6, a17545data)), i1609, i1519 + -1)
Load17214(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519) → Load17214ARR2(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1756)))
Load17214ARR2(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1756))) → Cond_Load17214ARR2(i1756 <= 0 && i1509 > 0 && i1509 < i6 && i1519 > 0 && i1509 + 1 > 0, java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1756)))
Cond_Load17214ARR2(TRUE, java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1756))) → Load17214(java.lang.Object(ARRAY(i6, a17545data)), i1509 + 1, i1519 + -1)
Load17214(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519) → Load17214ARR3(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1755)))
Load17214ARR3(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1755))) → Cond_Load17214ARR3(i1755 > 0 && i1509 > 0 && i1509 < i6 && i1519 > 0 && i1509 + 1 > 0, java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1755)))
Cond_Load17214ARR3(TRUE, java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1755))) → Load17214(java.lang.Object(ARRAY(i6, a17545data)), i1509 + 1, i1519 + -1)
JMP22323(java.lang.Object(ARRAY(i6, a17545data)), i1609, i1519) → Inc22472(java.lang.Object(ARRAY(i6, a17545data)), i1609, i1519)
Load17214(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519) → Load17214ARR4(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1755)))
Load17214ARR4(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1755))) → Cond_Load17214ARR4(i1755 > 0 && i1509 > 0 && i1509 < i6 && i1519 > 0 && i1509 + 1 > 0, java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1755)))
Cond_Load17214ARR4(TRUE, java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1755))) → Inc22472(java.lang.Object(ARRAY(i6, a17545data)), i1509 + 1, i1519)
Load17214(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519) → Load17214ARR5(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1756)))
Load17214ARR5(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1756))) → Cond_Load17214ARR5(i1756 <= 0 && i1509 > 0 && i1509 < i6 && i1519 > 0 && i1509 + 1 > 0, java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1756)))
Cond_Load17214ARR5(TRUE, java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1756))) → Inc22472(java.lang.Object(ARRAY(i6, a17545data)), i1509 + 1, i1519)
Load17214(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519) → Load17214ARR8(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1756)))
Load17214ARR8(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1756))) → Cond_Load17214ARR8(i1756 <= 0 && i1509 > 0 && i1509 < i6 && i1519 > 0 && i1509 + 1 > 0, java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1756)))
Cond_Load17214ARR8(TRUE, java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1756))) → JMP22323(java.lang.Object(ARRAY(i6, a17545data)), i1509 + 1, i1519)

The integer pair graph contains the following rules and edges:
(0): LOAD17214(java.lang.Object(ARRAY(i6[0], a17545data[0])), i1509[0], i1519[0]) → LOAD17214ARR1(java.lang.Object(ARRAY(i6[0], a17545data[0])), i1509[0], i1519[0], java.lang.Object(java.lang.String(i1755[0])))
(1): LOAD17214ARR1(java.lang.Object(ARRAY(i6[1], a17545data[1])), i1509[1], i1519[1], java.lang.Object(java.lang.String(i1755[1]))) → COND_LOAD17214ARR1(i1755[1] > 0 && i1509[1] > 0 && i1509[1] < i6[1] && i1519[1] > 0 && i1509[1] + 1 > 0, java.lang.Object(ARRAY(i6[1], a17545data[1])), i1509[1], i1519[1], java.lang.Object(java.lang.String(i1755[1])))
(2): COND_LOAD17214ARR1(TRUE, java.lang.Object(ARRAY(i6[2], a17545data[2])), i1509[2], i1519[2], java.lang.Object(java.lang.String(i1755[2]))) → JMP22323'(java.lang.Object(ARRAY(i6[2], a17545data[2])), i1509[2] + 1, i1519[2])
(3): INC22472(java.lang.Object(ARRAY(i6[3], a17545data[3])), i1609[3], i1519[3]) → LOAD17214(java.lang.Object(ARRAY(i6[3], a17545data[3])), i1609[3], i1519[3] + -1)
(4): LOAD17214(java.lang.Object(ARRAY(i6[4], a17545data[4])), i1509[4], i1519[4]) → LOAD17214ARR2(java.lang.Object(ARRAY(i6[4], a17545data[4])), i1509[4], i1519[4], java.lang.Object(java.lang.String(i1756[4])))
(5): LOAD17214ARR2(java.lang.Object(ARRAY(i6[5], a17545data[5])), i1509[5], i1519[5], java.lang.Object(java.lang.String(i1756[5]))) → COND_LOAD17214ARR2(i1756[5] <= 0 && i1509[5] > 0 && i1509[5] < i6[5] && i1519[5] > 0 && i1509[5] + 1 > 0, java.lang.Object(ARRAY(i6[5], a17545data[5])), i1509[5], i1519[5], java.lang.Object(java.lang.String(i1756[5])))
(6): COND_LOAD17214ARR2(TRUE, java.lang.Object(ARRAY(i6[6], a17545data[6])), i1509[6], i1519[6], java.lang.Object(java.lang.String(i1756[6]))) → LOAD17214(java.lang.Object(ARRAY(i6[6], a17545data[6])), i1509[6] + 1, i1519[6] + -1)
(7): LOAD17214(java.lang.Object(ARRAY(i6[7], a17545data[7])), i1509[7], i1519[7]) → LOAD17214ARR3(java.lang.Object(ARRAY(i6[7], a17545data[7])), i1509[7], i1519[7], java.lang.Object(java.lang.String(i1755[7])))
(8): LOAD17214ARR3(java.lang.Object(ARRAY(i6[8], a17545data[8])), i1509[8], i1519[8], java.lang.Object(java.lang.String(i1755[8]))) → COND_LOAD17214ARR3(i1755[8] > 0 && i1509[8] > 0 && i1509[8] < i6[8] && i1519[8] > 0 && i1509[8] + 1 > 0, java.lang.Object(ARRAY(i6[8], a17545data[8])), i1509[8], i1519[8], java.lang.Object(java.lang.String(i1755[8])))
(9): COND_LOAD17214ARR3(TRUE, java.lang.Object(ARRAY(i6[9], a17545data[9])), i1509[9], i1519[9], java.lang.Object(java.lang.String(i1755[9]))) → LOAD17214(java.lang.Object(ARRAY(i6[9], a17545data[9])), i1509[9] + 1, i1519[9] + -1)
(10): JMP22323'(java.lang.Object(ARRAY(i6[10], a17545data[10])), i1609[10], i1519[10]) → INC22472(java.lang.Object(ARRAY(i6[10], a17545data[10])), i1609[10], i1519[10])
(11): LOAD17214(java.lang.Object(ARRAY(i6[11], a17545data[11])), i1509[11], i1519[11]) → LOAD17214ARR4(java.lang.Object(ARRAY(i6[11], a17545data[11])), i1509[11], i1519[11], java.lang.Object(java.lang.String(i1755[11])))
(12): LOAD17214ARR4(java.lang.Object(ARRAY(i6[12], a17545data[12])), i1509[12], i1519[12], java.lang.Object(java.lang.String(i1755[12]))) → COND_LOAD17214ARR4(i1755[12] > 0 && i1509[12] > 0 && i1509[12] < i6[12] && i1519[12] > 0 && i1509[12] + 1 > 0, java.lang.Object(ARRAY(i6[12], a17545data[12])), i1509[12], i1519[12], java.lang.Object(java.lang.String(i1755[12])))
(13): COND_LOAD17214ARR4(TRUE, java.lang.Object(ARRAY(i6[13], a17545data[13])), i1509[13], i1519[13], java.lang.Object(java.lang.String(i1755[13]))) → INC22472(java.lang.Object(ARRAY(i6[13], a17545data[13])), i1509[13] + 1, i1519[13])
(14): LOAD17214(java.lang.Object(ARRAY(i6[14], a17545data[14])), i1509[14], i1519[14]) → LOAD17214ARR5(java.lang.Object(ARRAY(i6[14], a17545data[14])), i1509[14], i1519[14], java.lang.Object(java.lang.String(i1756[14])))
(15): LOAD17214ARR5(java.lang.Object(ARRAY(i6[15], a17545data[15])), i1509[15], i1519[15], java.lang.Object(java.lang.String(i1756[15]))) → COND_LOAD17214ARR5(i1756[15] <= 0 && i1509[15] > 0 && i1509[15] < i6[15] && i1519[15] > 0 && i1509[15] + 1 > 0, java.lang.Object(ARRAY(i6[15], a17545data[15])), i1509[15], i1519[15], java.lang.Object(java.lang.String(i1756[15])))
(16): COND_LOAD17214ARR5(TRUE, java.lang.Object(ARRAY(i6[16], a17545data[16])), i1509[16], i1519[16], java.lang.Object(java.lang.String(i1756[16]))) → INC22472(java.lang.Object(ARRAY(i6[16], a17545data[16])), i1509[16] + 1, i1519[16])
(17): LOAD17214(java.lang.Object(ARRAY(i6[17], a17545data[17])), i1509[17], i1519[17]) → LOAD17214ARR8(java.lang.Object(ARRAY(i6[17], a17545data[17])), i1509[17], i1519[17], java.lang.Object(java.lang.String(i1756[17])))
(18): LOAD17214ARR8(java.lang.Object(ARRAY(i6[18], a17545data[18])), i1509[18], i1519[18], java.lang.Object(java.lang.String(i1756[18]))) → COND_LOAD17214ARR8(i1756[18] <= 0 && i1509[18] > 0 && i1509[18] < i6[18] && i1519[18] > 0 && i1509[18] + 1 > 0, java.lang.Object(ARRAY(i6[18], a17545data[18])), i1509[18], i1519[18], java.lang.Object(java.lang.String(i1756[18])))
(19): COND_LOAD17214ARR8(TRUE, java.lang.Object(ARRAY(i6[19], a17545data[19])), i1509[19], i1519[19], java.lang.Object(java.lang.String(i1756[19]))) → JMP22323'(java.lang.Object(ARRAY(i6[19], a17545data[19])), i1509[19] + 1, i1519[19])

(0) -> (1), if ((java.lang.Object(ARRAY(i6[0], a17545data[0])) →* java.lang.Object(ARRAY(i6[1], a17545data[1])))∧(java.lang.Object(java.lang.String(i1755[0])) →* java.lang.Object(java.lang.String(i1755[1])))∧(i1519[0]* i1519[1])∧(i1509[0]* i1509[1]))


(1) -> (2), if ((i1509[1]* i1509[2])∧(i1755[1] > 0 && i1509[1] > 0 && i1509[1] < i6[1] && i1519[1] > 0 && i1509[1] + 1 > 0* TRUE)∧(i1519[1]* i1519[2])∧(java.lang.Object(java.lang.String(i1755[1])) →* java.lang.Object(java.lang.String(i1755[2])))∧(java.lang.Object(ARRAY(i6[1], a17545data[1])) →* java.lang.Object(ARRAY(i6[2], a17545data[2]))))


(2) -> (10), if ((i1519[2]* i1519[10])∧(i1509[2] + 1* i1609[10])∧(java.lang.Object(ARRAY(i6[2], a17545data[2])) →* java.lang.Object(ARRAY(i6[10], a17545data[10]))))


(3) -> (0), if ((i1519[3] + -1* i1519[0])∧(java.lang.Object(ARRAY(i6[3], a17545data[3])) →* java.lang.Object(ARRAY(i6[0], a17545data[0])))∧(i1609[3]* i1509[0]))


(3) -> (4), if ((i1519[3] + -1* i1519[4])∧(java.lang.Object(ARRAY(i6[3], a17545data[3])) →* java.lang.Object(ARRAY(i6[4], a17545data[4])))∧(i1609[3]* i1509[4]))


(3) -> (7), if ((i1609[3]* i1509[7])∧(java.lang.Object(ARRAY(i6[3], a17545data[3])) →* java.lang.Object(ARRAY(i6[7], a17545data[7])))∧(i1519[3] + -1* i1519[7]))


(3) -> (11), if ((java.lang.Object(ARRAY(i6[3], a17545data[3])) →* java.lang.Object(ARRAY(i6[11], a17545data[11])))∧(i1609[3]* i1509[11])∧(i1519[3] + -1* i1519[11]))


(3) -> (14), if ((i1609[3]* i1509[14])∧(i1519[3] + -1* i1519[14])∧(java.lang.Object(ARRAY(i6[3], a17545data[3])) →* java.lang.Object(ARRAY(i6[14], a17545data[14]))))


(3) -> (17), if ((i1519[3] + -1* i1519[17])∧(java.lang.Object(ARRAY(i6[3], a17545data[3])) →* java.lang.Object(ARRAY(i6[17], a17545data[17])))∧(i1609[3]* i1509[17]))


(4) -> (5), if ((java.lang.Object(java.lang.String(i1756[4])) →* java.lang.Object(java.lang.String(i1756[5])))∧(i1509[4]* i1509[5])∧(java.lang.Object(ARRAY(i6[4], a17545data[4])) →* java.lang.Object(ARRAY(i6[5], a17545data[5])))∧(i1519[4]* i1519[5]))


(5) -> (6), if ((java.lang.Object(java.lang.String(i1756[5])) →* java.lang.Object(java.lang.String(i1756[6])))∧(i1519[5]* i1519[6])∧(java.lang.Object(ARRAY(i6[5], a17545data[5])) →* java.lang.Object(ARRAY(i6[6], a17545data[6])))∧(i1509[5]* i1509[6])∧(i1756[5] <= 0 && i1509[5] > 0 && i1509[5] < i6[5] && i1519[5] > 0 && i1509[5] + 1 > 0* TRUE))


(6) -> (0), if ((i1519[6] + -1* i1519[0])∧(i1509[6] + 1* i1509[0])∧(java.lang.Object(ARRAY(i6[6], a17545data[6])) →* java.lang.Object(ARRAY(i6[0], a17545data[0]))))


(6) -> (4), if ((i1509[6] + 1* i1509[4])∧(java.lang.Object(ARRAY(i6[6], a17545data[6])) →* java.lang.Object(ARRAY(i6[4], a17545data[4])))∧(i1519[6] + -1* i1519[4]))


(6) -> (7), if ((java.lang.Object(ARRAY(i6[6], a17545data[6])) →* java.lang.Object(ARRAY(i6[7], a17545data[7])))∧(i1519[6] + -1* i1519[7])∧(i1509[6] + 1* i1509[7]))


(6) -> (11), if ((i1519[6] + -1* i1519[11])∧(i1509[6] + 1* i1509[11])∧(java.lang.Object(ARRAY(i6[6], a17545data[6])) →* java.lang.Object(ARRAY(i6[11], a17545data[11]))))


(6) -> (14), if ((i1509[6] + 1* i1509[14])∧(java.lang.Object(ARRAY(i6[6], a17545data[6])) →* java.lang.Object(ARRAY(i6[14], a17545data[14])))∧(i1519[6] + -1* i1519[14]))


(6) -> (17), if ((i1519[6] + -1* i1519[17])∧(i1509[6] + 1* i1509[17])∧(java.lang.Object(ARRAY(i6[6], a17545data[6])) →* java.lang.Object(ARRAY(i6[17], a17545data[17]))))


(7) -> (8), if ((i1519[7]* i1519[8])∧(java.lang.Object(java.lang.String(i1755[7])) →* java.lang.Object(java.lang.String(i1755[8])))∧(i1509[7]* i1509[8])∧(java.lang.Object(ARRAY(i6[7], a17545data[7])) →* java.lang.Object(ARRAY(i6[8], a17545data[8]))))


(8) -> (9), if ((java.lang.Object(java.lang.String(i1755[8])) →* java.lang.Object(java.lang.String(i1755[9])))∧(i1519[8]* i1519[9])∧(i1755[8] > 0 && i1509[8] > 0 && i1509[8] < i6[8] && i1519[8] > 0 && i1509[8] + 1 > 0* TRUE)∧(java.lang.Object(ARRAY(i6[8], a17545data[8])) →* java.lang.Object(ARRAY(i6[9], a17545data[9])))∧(i1509[8]* i1509[9]))


(9) -> (0), if ((i1519[9] + -1* i1519[0])∧(java.lang.Object(ARRAY(i6[9], a17545data[9])) →* java.lang.Object(ARRAY(i6[0], a17545data[0])))∧(i1509[9] + 1* i1509[0]))


(9) -> (4), if ((i1519[9] + -1* i1519[4])∧(i1509[9] + 1* i1509[4])∧(java.lang.Object(ARRAY(i6[9], a17545data[9])) →* java.lang.Object(ARRAY(i6[4], a17545data[4]))))


(9) -> (7), if ((i1519[9] + -1* i1519[7])∧(i1509[9] + 1* i1509[7])∧(java.lang.Object(ARRAY(i6[9], a17545data[9])) →* java.lang.Object(ARRAY(i6[7], a17545data[7]))))


(9) -> (11), if ((i1509[9] + 1* i1509[11])∧(i1519[9] + -1* i1519[11])∧(java.lang.Object(ARRAY(i6[9], a17545data[9])) →* java.lang.Object(ARRAY(i6[11], a17545data[11]))))


(9) -> (14), if ((i1519[9] + -1* i1519[14])∧(i1509[9] + 1* i1509[14])∧(java.lang.Object(ARRAY(i6[9], a17545data[9])) →* java.lang.Object(ARRAY(i6[14], a17545data[14]))))


(9) -> (17), if ((i1519[9] + -1* i1519[17])∧(java.lang.Object(ARRAY(i6[9], a17545data[9])) →* java.lang.Object(ARRAY(i6[17], a17545data[17])))∧(i1509[9] + 1* i1509[17]))


(10) -> (3), if ((i1519[10]* i1519[3])∧(i1609[10]* i1609[3])∧(java.lang.Object(ARRAY(i6[10], a17545data[10])) →* java.lang.Object(ARRAY(i6[3], a17545data[3]))))


(11) -> (12), if ((java.lang.Object(ARRAY(i6[11], a17545data[11])) →* java.lang.Object(ARRAY(i6[12], a17545data[12])))∧(java.lang.Object(java.lang.String(i1755[11])) →* java.lang.Object(java.lang.String(i1755[12])))∧(i1519[11]* i1519[12])∧(i1509[11]* i1509[12]))


(12) -> (13), if ((java.lang.Object(java.lang.String(i1755[12])) →* java.lang.Object(java.lang.String(i1755[13])))∧(java.lang.Object(ARRAY(i6[12], a17545data[12])) →* java.lang.Object(ARRAY(i6[13], a17545data[13])))∧(i1519[12]* i1519[13])∧(i1509[12]* i1509[13])∧(i1755[12] > 0 && i1509[12] > 0 && i1509[12] < i6[12] && i1519[12] > 0 && i1509[12] + 1 > 0* TRUE))


(13) -> (3), if ((java.lang.Object(ARRAY(i6[13], a17545data[13])) →* java.lang.Object(ARRAY(i6[3], a17545data[3])))∧(i1519[13]* i1519[3])∧(i1509[13] + 1* i1609[3]))


(14) -> (15), if ((java.lang.Object(ARRAY(i6[14], a17545data[14])) →* java.lang.Object(ARRAY(i6[15], a17545data[15])))∧(java.lang.Object(java.lang.String(i1756[14])) →* java.lang.Object(java.lang.String(i1756[15])))∧(i1519[14]* i1519[15])∧(i1509[14]* i1509[15]))


(15) -> (16), if ((i1756[15] <= 0 && i1509[15] > 0 && i1509[15] < i6[15] && i1519[15] > 0 && i1509[15] + 1 > 0* TRUE)∧(java.lang.Object(ARRAY(i6[15], a17545data[15])) →* java.lang.Object(ARRAY(i6[16], a17545data[16])))∧(i1519[15]* i1519[16])∧(java.lang.Object(java.lang.String(i1756[15])) →* java.lang.Object(java.lang.String(i1756[16])))∧(i1509[15]* i1509[16]))


(16) -> (3), if ((i1509[16] + 1* i1609[3])∧(java.lang.Object(ARRAY(i6[16], a17545data[16])) →* java.lang.Object(ARRAY(i6[3], a17545data[3])))∧(i1519[16]* i1519[3]))


(17) -> (18), if ((java.lang.Object(ARRAY(i6[17], a17545data[17])) →* java.lang.Object(ARRAY(i6[18], a17545data[18])))∧(i1509[17]* i1509[18])∧(java.lang.Object(java.lang.String(i1756[17])) →* java.lang.Object(java.lang.String(i1756[18])))∧(i1519[17]* i1519[18]))


(18) -> (19), if ((java.lang.Object(ARRAY(i6[18], a17545data[18])) →* java.lang.Object(ARRAY(i6[19], a17545data[19])))∧(i1509[18]* i1509[19])∧(i1519[18]* i1519[19])∧(i1756[18] <= 0 && i1509[18] > 0 && i1509[18] < i6[18] && i1519[18] > 0 && i1509[18] + 1 > 0* TRUE)∧(java.lang.Object(java.lang.String(i1756[18])) →* java.lang.Object(java.lang.String(i1756[19]))))


(19) -> (10), if ((i1509[19] + 1* i1609[10])∧(java.lang.Object(ARRAY(i6[19], a17545data[19])) →* java.lang.Object(ARRAY(i6[10], a17545data[10])))∧(i1519[19]* i1519[10]))



The set Q consists of the following terms:
Load17214(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load17214ARR1(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load17214ARR1(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Inc22472(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load17214ARR2(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load17214ARR2(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Load17214ARR3(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load17214ARR3(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
JMP22323(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load17214ARR4(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load17214ARR4(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Load17214ARR5(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load17214ARR5(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Load17214ARR8(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load17214ARR8(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))

(27) UsableRulesProof (EQUIVALENT transformation)

As all Q-normal forms are R-normal forms we are in the innermost case. Hence, by the usable rules processor [LPAR04] we can delete all non-usable rules [FROCOS05] from R.

(28) Obligation:

IDP problem:
The following function symbols are pre-defined:
!=~Neq: (Integer, Integer) -> Boolean
*~Mul: (Integer, Integer) -> Integer
>=~Ge: (Integer, Integer) -> Boolean
-1~UnaryMinus: (Integer) -> Integer
|~Bwor: (Integer, Integer) -> Integer
/~Div: (Integer, Integer) -> Integer
=~Eq: (Integer, Integer) -> Boolean
~Bwxor: (Integer, Integer) -> Integer
||~Lor: (Boolean, Boolean) -> Boolean
!~Lnot: (Boolean) -> Boolean
<~Lt: (Integer, Integer) -> Boolean
-~Sub: (Integer, Integer) -> Integer
<=~Le: (Integer, Integer) -> Boolean
>~Gt: (Integer, Integer) -> Boolean
~~Bwnot: (Integer) -> Integer
%~Mod: (Integer, Integer) -> Integer
&~Bwand: (Integer, Integer) -> Integer
+~Add: (Integer, Integer) -> Integer
&&~Land: (Boolean, Boolean) -> Boolean


The following domains are used:

Boolean, Integer


R is empty.

The integer pair graph contains the following rules and edges:
(0): LOAD17214(java.lang.Object(ARRAY(i6[0], a17545data[0])), i1509[0], i1519[0]) → LOAD17214ARR1(java.lang.Object(ARRAY(i6[0], a17545data[0])), i1509[0], i1519[0], java.lang.Object(java.lang.String(i1755[0])))
(1): LOAD17214ARR1(java.lang.Object(ARRAY(i6[1], a17545data[1])), i1509[1], i1519[1], java.lang.Object(java.lang.String(i1755[1]))) → COND_LOAD17214ARR1(i1755[1] > 0 && i1509[1] > 0 && i1509[1] < i6[1] && i1519[1] > 0 && i1509[1] + 1 > 0, java.lang.Object(ARRAY(i6[1], a17545data[1])), i1509[1], i1519[1], java.lang.Object(java.lang.String(i1755[1])))
(2): COND_LOAD17214ARR1(TRUE, java.lang.Object(ARRAY(i6[2], a17545data[2])), i1509[2], i1519[2], java.lang.Object(java.lang.String(i1755[2]))) → JMP22323'(java.lang.Object(ARRAY(i6[2], a17545data[2])), i1509[2] + 1, i1519[2])
(3): INC22472(java.lang.Object(ARRAY(i6[3], a17545data[3])), i1609[3], i1519[3]) → LOAD17214(java.lang.Object(ARRAY(i6[3], a17545data[3])), i1609[3], i1519[3] + -1)
(4): LOAD17214(java.lang.Object(ARRAY(i6[4], a17545data[4])), i1509[4], i1519[4]) → LOAD17214ARR2(java.lang.Object(ARRAY(i6[4], a17545data[4])), i1509[4], i1519[4], java.lang.Object(java.lang.String(i1756[4])))
(5): LOAD17214ARR2(java.lang.Object(ARRAY(i6[5], a17545data[5])), i1509[5], i1519[5], java.lang.Object(java.lang.String(i1756[5]))) → COND_LOAD17214ARR2(i1756[5] <= 0 && i1509[5] > 0 && i1509[5] < i6[5] && i1519[5] > 0 && i1509[5] + 1 > 0, java.lang.Object(ARRAY(i6[5], a17545data[5])), i1509[5], i1519[5], java.lang.Object(java.lang.String(i1756[5])))
(6): COND_LOAD17214ARR2(TRUE, java.lang.Object(ARRAY(i6[6], a17545data[6])), i1509[6], i1519[6], java.lang.Object(java.lang.String(i1756[6]))) → LOAD17214(java.lang.Object(ARRAY(i6[6], a17545data[6])), i1509[6] + 1, i1519[6] + -1)
(7): LOAD17214(java.lang.Object(ARRAY(i6[7], a17545data[7])), i1509[7], i1519[7]) → LOAD17214ARR3(java.lang.Object(ARRAY(i6[7], a17545data[7])), i1509[7], i1519[7], java.lang.Object(java.lang.String(i1755[7])))
(8): LOAD17214ARR3(java.lang.Object(ARRAY(i6[8], a17545data[8])), i1509[8], i1519[8], java.lang.Object(java.lang.String(i1755[8]))) → COND_LOAD17214ARR3(i1755[8] > 0 && i1509[8] > 0 && i1509[8] < i6[8] && i1519[8] > 0 && i1509[8] + 1 > 0, java.lang.Object(ARRAY(i6[8], a17545data[8])), i1509[8], i1519[8], java.lang.Object(java.lang.String(i1755[8])))
(9): COND_LOAD17214ARR3(TRUE, java.lang.Object(ARRAY(i6[9], a17545data[9])), i1509[9], i1519[9], java.lang.Object(java.lang.String(i1755[9]))) → LOAD17214(java.lang.Object(ARRAY(i6[9], a17545data[9])), i1509[9] + 1, i1519[9] + -1)
(10): JMP22323'(java.lang.Object(ARRAY(i6[10], a17545data[10])), i1609[10], i1519[10]) → INC22472(java.lang.Object(ARRAY(i6[10], a17545data[10])), i1609[10], i1519[10])
(11): LOAD17214(java.lang.Object(ARRAY(i6[11], a17545data[11])), i1509[11], i1519[11]) → LOAD17214ARR4(java.lang.Object(ARRAY(i6[11], a17545data[11])), i1509[11], i1519[11], java.lang.Object(java.lang.String(i1755[11])))
(12): LOAD17214ARR4(java.lang.Object(ARRAY(i6[12], a17545data[12])), i1509[12], i1519[12], java.lang.Object(java.lang.String(i1755[12]))) → COND_LOAD17214ARR4(i1755[12] > 0 && i1509[12] > 0 && i1509[12] < i6[12] && i1519[12] > 0 && i1509[12] + 1 > 0, java.lang.Object(ARRAY(i6[12], a17545data[12])), i1509[12], i1519[12], java.lang.Object(java.lang.String(i1755[12])))
(13): COND_LOAD17214ARR4(TRUE, java.lang.Object(ARRAY(i6[13], a17545data[13])), i1509[13], i1519[13], java.lang.Object(java.lang.String(i1755[13]))) → INC22472(java.lang.Object(ARRAY(i6[13], a17545data[13])), i1509[13] + 1, i1519[13])
(14): LOAD17214(java.lang.Object(ARRAY(i6[14], a17545data[14])), i1509[14], i1519[14]) → LOAD17214ARR5(java.lang.Object(ARRAY(i6[14], a17545data[14])), i1509[14], i1519[14], java.lang.Object(java.lang.String(i1756[14])))
(15): LOAD17214ARR5(java.lang.Object(ARRAY(i6[15], a17545data[15])), i1509[15], i1519[15], java.lang.Object(java.lang.String(i1756[15]))) → COND_LOAD17214ARR5(i1756[15] <= 0 && i1509[15] > 0 && i1509[15] < i6[15] && i1519[15] > 0 && i1509[15] + 1 > 0, java.lang.Object(ARRAY(i6[15], a17545data[15])), i1509[15], i1519[15], java.lang.Object(java.lang.String(i1756[15])))
(16): COND_LOAD17214ARR5(TRUE, java.lang.Object(ARRAY(i6[16], a17545data[16])), i1509[16], i1519[16], java.lang.Object(java.lang.String(i1756[16]))) → INC22472(java.lang.Object(ARRAY(i6[16], a17545data[16])), i1509[16] + 1, i1519[16])
(17): LOAD17214(java.lang.Object(ARRAY(i6[17], a17545data[17])), i1509[17], i1519[17]) → LOAD17214ARR8(java.lang.Object(ARRAY(i6[17], a17545data[17])), i1509[17], i1519[17], java.lang.Object(java.lang.String(i1756[17])))
(18): LOAD17214ARR8(java.lang.Object(ARRAY(i6[18], a17545data[18])), i1509[18], i1519[18], java.lang.Object(java.lang.String(i1756[18]))) → COND_LOAD17214ARR8(i1756[18] <= 0 && i1509[18] > 0 && i1509[18] < i6[18] && i1519[18] > 0 && i1509[18] + 1 > 0, java.lang.Object(ARRAY(i6[18], a17545data[18])), i1509[18], i1519[18], java.lang.Object(java.lang.String(i1756[18])))
(19): COND_LOAD17214ARR8(TRUE, java.lang.Object(ARRAY(i6[19], a17545data[19])), i1509[19], i1519[19], java.lang.Object(java.lang.String(i1756[19]))) → JMP22323'(java.lang.Object(ARRAY(i6[19], a17545data[19])), i1509[19] + 1, i1519[19])

(0) -> (1), if ((java.lang.Object(ARRAY(i6[0], a17545data[0])) →* java.lang.Object(ARRAY(i6[1], a17545data[1])))∧(java.lang.Object(java.lang.String(i1755[0])) →* java.lang.Object(java.lang.String(i1755[1])))∧(i1519[0]* i1519[1])∧(i1509[0]* i1509[1]))


(1) -> (2), if ((i1509[1]* i1509[2])∧(i1755[1] > 0 && i1509[1] > 0 && i1509[1] < i6[1] && i1519[1] > 0 && i1509[1] + 1 > 0* TRUE)∧(i1519[1]* i1519[2])∧(java.lang.Object(java.lang.String(i1755[1])) →* java.lang.Object(java.lang.String(i1755[2])))∧(java.lang.Object(ARRAY(i6[1], a17545data[1])) →* java.lang.Object(ARRAY(i6[2], a17545data[2]))))


(2) -> (10), if ((i1519[2]* i1519[10])∧(i1509[2] + 1* i1609[10])∧(java.lang.Object(ARRAY(i6[2], a17545data[2])) →* java.lang.Object(ARRAY(i6[10], a17545data[10]))))


(3) -> (0), if ((i1519[3] + -1* i1519[0])∧(java.lang.Object(ARRAY(i6[3], a17545data[3])) →* java.lang.Object(ARRAY(i6[0], a17545data[0])))∧(i1609[3]* i1509[0]))


(3) -> (4), if ((i1519[3] + -1* i1519[4])∧(java.lang.Object(ARRAY(i6[3], a17545data[3])) →* java.lang.Object(ARRAY(i6[4], a17545data[4])))∧(i1609[3]* i1509[4]))


(3) -> (7), if ((i1609[3]* i1509[7])∧(java.lang.Object(ARRAY(i6[3], a17545data[3])) →* java.lang.Object(ARRAY(i6[7], a17545data[7])))∧(i1519[3] + -1* i1519[7]))


(3) -> (11), if ((java.lang.Object(ARRAY(i6[3], a17545data[3])) →* java.lang.Object(ARRAY(i6[11], a17545data[11])))∧(i1609[3]* i1509[11])∧(i1519[3] + -1* i1519[11]))


(3) -> (14), if ((i1609[3]* i1509[14])∧(i1519[3] + -1* i1519[14])∧(java.lang.Object(ARRAY(i6[3], a17545data[3])) →* java.lang.Object(ARRAY(i6[14], a17545data[14]))))


(3) -> (17), if ((i1519[3] + -1* i1519[17])∧(java.lang.Object(ARRAY(i6[3], a17545data[3])) →* java.lang.Object(ARRAY(i6[17], a17545data[17])))∧(i1609[3]* i1509[17]))


(4) -> (5), if ((java.lang.Object(java.lang.String(i1756[4])) →* java.lang.Object(java.lang.String(i1756[5])))∧(i1509[4]* i1509[5])∧(java.lang.Object(ARRAY(i6[4], a17545data[4])) →* java.lang.Object(ARRAY(i6[5], a17545data[5])))∧(i1519[4]* i1519[5]))


(5) -> (6), if ((java.lang.Object(java.lang.String(i1756[5])) →* java.lang.Object(java.lang.String(i1756[6])))∧(i1519[5]* i1519[6])∧(java.lang.Object(ARRAY(i6[5], a17545data[5])) →* java.lang.Object(ARRAY(i6[6], a17545data[6])))∧(i1509[5]* i1509[6])∧(i1756[5] <= 0 && i1509[5] > 0 && i1509[5] < i6[5] && i1519[5] > 0 && i1509[5] + 1 > 0* TRUE))


(6) -> (0), if ((i1519[6] + -1* i1519[0])∧(i1509[6] + 1* i1509[0])∧(java.lang.Object(ARRAY(i6[6], a17545data[6])) →* java.lang.Object(ARRAY(i6[0], a17545data[0]))))


(6) -> (4), if ((i1509[6] + 1* i1509[4])∧(java.lang.Object(ARRAY(i6[6], a17545data[6])) →* java.lang.Object(ARRAY(i6[4], a17545data[4])))∧(i1519[6] + -1* i1519[4]))


(6) -> (7), if ((java.lang.Object(ARRAY(i6[6], a17545data[6])) →* java.lang.Object(ARRAY(i6[7], a17545data[7])))∧(i1519[6] + -1* i1519[7])∧(i1509[6] + 1* i1509[7]))


(6) -> (11), if ((i1519[6] + -1* i1519[11])∧(i1509[6] + 1* i1509[11])∧(java.lang.Object(ARRAY(i6[6], a17545data[6])) →* java.lang.Object(ARRAY(i6[11], a17545data[11]))))


(6) -> (14), if ((i1509[6] + 1* i1509[14])∧(java.lang.Object(ARRAY(i6[6], a17545data[6])) →* java.lang.Object(ARRAY(i6[14], a17545data[14])))∧(i1519[6] + -1* i1519[14]))


(6) -> (17), if ((i1519[6] + -1* i1519[17])∧(i1509[6] + 1* i1509[17])∧(java.lang.Object(ARRAY(i6[6], a17545data[6])) →* java.lang.Object(ARRAY(i6[17], a17545data[17]))))


(7) -> (8), if ((i1519[7]* i1519[8])∧(java.lang.Object(java.lang.String(i1755[7])) →* java.lang.Object(java.lang.String(i1755[8])))∧(i1509[7]* i1509[8])∧(java.lang.Object(ARRAY(i6[7], a17545data[7])) →* java.lang.Object(ARRAY(i6[8], a17545data[8]))))


(8) -> (9), if ((java.lang.Object(java.lang.String(i1755[8])) →* java.lang.Object(java.lang.String(i1755[9])))∧(i1519[8]* i1519[9])∧(i1755[8] > 0 && i1509[8] > 0 && i1509[8] < i6[8] && i1519[8] > 0 && i1509[8] + 1 > 0* TRUE)∧(java.lang.Object(ARRAY(i6[8], a17545data[8])) →* java.lang.Object(ARRAY(i6[9], a17545data[9])))∧(i1509[8]* i1509[9]))


(9) -> (0), if ((i1519[9] + -1* i1519[0])∧(java.lang.Object(ARRAY(i6[9], a17545data[9])) →* java.lang.Object(ARRAY(i6[0], a17545data[0])))∧(i1509[9] + 1* i1509[0]))


(9) -> (4), if ((i1519[9] + -1* i1519[4])∧(i1509[9] + 1* i1509[4])∧(java.lang.Object(ARRAY(i6[9], a17545data[9])) →* java.lang.Object(ARRAY(i6[4], a17545data[4]))))


(9) -> (7), if ((i1519[9] + -1* i1519[7])∧(i1509[9] + 1* i1509[7])∧(java.lang.Object(ARRAY(i6[9], a17545data[9])) →* java.lang.Object(ARRAY(i6[7], a17545data[7]))))


(9) -> (11), if ((i1509[9] + 1* i1509[11])∧(i1519[9] + -1* i1519[11])∧(java.lang.Object(ARRAY(i6[9], a17545data[9])) →* java.lang.Object(ARRAY(i6[11], a17545data[11]))))


(9) -> (14), if ((i1519[9] + -1* i1519[14])∧(i1509[9] + 1* i1509[14])∧(java.lang.Object(ARRAY(i6[9], a17545data[9])) →* java.lang.Object(ARRAY(i6[14], a17545data[14]))))


(9) -> (17), if ((i1519[9] + -1* i1519[17])∧(java.lang.Object(ARRAY(i6[9], a17545data[9])) →* java.lang.Object(ARRAY(i6[17], a17545data[17])))∧(i1509[9] + 1* i1509[17]))


(10) -> (3), if ((i1519[10]* i1519[3])∧(i1609[10]* i1609[3])∧(java.lang.Object(ARRAY(i6[10], a17545data[10])) →* java.lang.Object(ARRAY(i6[3], a17545data[3]))))


(11) -> (12), if ((java.lang.Object(ARRAY(i6[11], a17545data[11])) →* java.lang.Object(ARRAY(i6[12], a17545data[12])))∧(java.lang.Object(java.lang.String(i1755[11])) →* java.lang.Object(java.lang.String(i1755[12])))∧(i1519[11]* i1519[12])∧(i1509[11]* i1509[12]))


(12) -> (13), if ((java.lang.Object(java.lang.String(i1755[12])) →* java.lang.Object(java.lang.String(i1755[13])))∧(java.lang.Object(ARRAY(i6[12], a17545data[12])) →* java.lang.Object(ARRAY(i6[13], a17545data[13])))∧(i1519[12]* i1519[13])∧(i1509[12]* i1509[13])∧(i1755[12] > 0 && i1509[12] > 0 && i1509[12] < i6[12] && i1519[12] > 0 && i1509[12] + 1 > 0* TRUE))


(13) -> (3), if ((java.lang.Object(ARRAY(i6[13], a17545data[13])) →* java.lang.Object(ARRAY(i6[3], a17545data[3])))∧(i1519[13]* i1519[3])∧(i1509[13] + 1* i1609[3]))


(14) -> (15), if ((java.lang.Object(ARRAY(i6[14], a17545data[14])) →* java.lang.Object(ARRAY(i6[15], a17545data[15])))∧(java.lang.Object(java.lang.String(i1756[14])) →* java.lang.Object(java.lang.String(i1756[15])))∧(i1519[14]* i1519[15])∧(i1509[14]* i1509[15]))


(15) -> (16), if ((i1756[15] <= 0 && i1509[15] > 0 && i1509[15] < i6[15] && i1519[15] > 0 && i1509[15] + 1 > 0* TRUE)∧(java.lang.Object(ARRAY(i6[15], a17545data[15])) →* java.lang.Object(ARRAY(i6[16], a17545data[16])))∧(i1519[15]* i1519[16])∧(java.lang.Object(java.lang.String(i1756[15])) →* java.lang.Object(java.lang.String(i1756[16])))∧(i1509[15]* i1509[16]))


(16) -> (3), if ((i1509[16] + 1* i1609[3])∧(java.lang.Object(ARRAY(i6[16], a17545data[16])) →* java.lang.Object(ARRAY(i6[3], a17545data[3])))∧(i1519[16]* i1519[3]))


(17) -> (18), if ((java.lang.Object(ARRAY(i6[17], a17545data[17])) →* java.lang.Object(ARRAY(i6[18], a17545data[18])))∧(i1509[17]* i1509[18])∧(java.lang.Object(java.lang.String(i1756[17])) →* java.lang.Object(java.lang.String(i1756[18])))∧(i1519[17]* i1519[18]))


(18) -> (19), if ((java.lang.Object(ARRAY(i6[18], a17545data[18])) →* java.lang.Object(ARRAY(i6[19], a17545data[19])))∧(i1509[18]* i1509[19])∧(i1519[18]* i1519[19])∧(i1756[18] <= 0 && i1509[18] > 0 && i1509[18] < i6[18] && i1519[18] > 0 && i1509[18] + 1 > 0* TRUE)∧(java.lang.Object(java.lang.String(i1756[18])) →* java.lang.Object(java.lang.String(i1756[19]))))


(19) -> (10), if ((i1509[19] + 1* i1609[10])∧(java.lang.Object(ARRAY(i6[19], a17545data[19])) →* java.lang.Object(ARRAY(i6[10], a17545data[10])))∧(i1519[19]* i1519[10]))



The set Q consists of the following terms:
Load17214(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load17214ARR1(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load17214ARR1(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Inc22472(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load17214ARR2(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load17214ARR2(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Load17214ARR3(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load17214ARR3(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
JMP22323(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load17214ARR4(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load17214ARR4(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Load17214ARR5(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load17214ARR5(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Load17214ARR8(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load17214ARR8(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))

(29) ItpfGraphProof (EQUIVALENT transformation)

Applied rule ItpfICap [ICap]

(30) Obligation:

IDP problem:
The following function symbols are pre-defined:
!=~Neq: (Integer, Integer) -> Boolean
*~Mul: (Integer, Integer) -> Integer
>=~Ge: (Integer, Integer) -> Boolean
-1~UnaryMinus: (Integer) -> Integer
|~Bwor: (Integer, Integer) -> Integer
/~Div: (Integer, Integer) -> Integer
=~Eq: (Integer, Integer) -> Boolean
~Bwxor: (Integer, Integer) -> Integer
||~Lor: (Boolean, Boolean) -> Boolean
!~Lnot: (Boolean) -> Boolean
<~Lt: (Integer, Integer) -> Boolean
-~Sub: (Integer, Integer) -> Integer
<=~Le: (Integer, Integer) -> Boolean
>~Gt: (Integer, Integer) -> Boolean
~~Bwnot: (Integer) -> Integer
%~Mod: (Integer, Integer) -> Integer
&~Bwand: (Integer, Integer) -> Integer
+~Add: (Integer, Integer) -> Integer
&&~Land: (Boolean, Boolean) -> Boolean


The following domains are used:

Boolean, Integer


R is empty.

The integer pair graph contains the following rules and edges:
(0): LOAD17214(java.lang.Object(ARRAY(i6[0], a17545data[0])), i1509[0], i1519[0]) → LOAD17214ARR1(java.lang.Object(ARRAY(i6[0], a17545data[0])), i1509[0], i1519[0], java.lang.Object(java.lang.String(i1755[0])))
(1): LOAD17214ARR1(java.lang.Object(ARRAY(i6[1], a17545data[1])), i1509[1], i1519[1], java.lang.Object(java.lang.String(i1755[1]))) → COND_LOAD17214ARR1(i1755[1] > 0 && i1509[1] > 0 && i1509[1] < i6[1] && i1519[1] > 0 && i1509[1] + 1 > 0, java.lang.Object(ARRAY(i6[1], a17545data[1])), i1509[1], i1519[1], java.lang.Object(java.lang.String(i1755[1])))
(2): COND_LOAD17214ARR1(TRUE, java.lang.Object(ARRAY(i6[2], a17545data[2])), i1509[2], i1519[2], java.lang.Object(java.lang.String(i1755[2]))) → JMP22323'(java.lang.Object(ARRAY(i6[2], a17545data[2])), i1509[2] + 1, i1519[2])
(3): INC22472(java.lang.Object(ARRAY(i6[3], a17545data[3])), i1609[3], i1519[3]) → LOAD17214(java.lang.Object(ARRAY(i6[3], a17545data[3])), i1609[3], i1519[3] + -1)
(4): LOAD17214(java.lang.Object(ARRAY(i6[4], a17545data[4])), i1509[4], i1519[4]) → LOAD17214ARR2(java.lang.Object(ARRAY(i6[4], a17545data[4])), i1509[4], i1519[4], java.lang.Object(java.lang.String(i1756[4])))
(5): LOAD17214ARR2(java.lang.Object(ARRAY(i6[5], a17545data[5])), i1509[5], i1519[5], java.lang.Object(java.lang.String(i1756[5]))) → COND_LOAD17214ARR2(i1756[5] <= 0 && i1509[5] > 0 && i1509[5] < i6[5] && i1519[5] > 0 && i1509[5] + 1 > 0, java.lang.Object(ARRAY(i6[5], a17545data[5])), i1509[5], i1519[5], java.lang.Object(java.lang.String(i1756[5])))
(6): COND_LOAD17214ARR2(TRUE, java.lang.Object(ARRAY(i6[6], a17545data[6])), i1509[6], i1519[6], java.lang.Object(java.lang.String(i1756[6]))) → LOAD17214(java.lang.Object(ARRAY(i6[6], a17545data[6])), i1509[6] + 1, i1519[6] + -1)
(7): LOAD17214(java.lang.Object(ARRAY(i6[7], a17545data[7])), i1509[7], i1519[7]) → LOAD17214ARR3(java.lang.Object(ARRAY(i6[7], a17545data[7])), i1509[7], i1519[7], java.lang.Object(java.lang.String(i1755[7])))
(8): LOAD17214ARR3(java.lang.Object(ARRAY(i6[8], a17545data[8])), i1509[8], i1519[8], java.lang.Object(java.lang.String(i1755[8]))) → COND_LOAD17214ARR3(i1755[8] > 0 && i1509[8] > 0 && i1509[8] < i6[8] && i1519[8] > 0 && i1509[8] + 1 > 0, java.lang.Object(ARRAY(i6[8], a17545data[8])), i1509[8], i1519[8], java.lang.Object(java.lang.String(i1755[8])))
(9): COND_LOAD17214ARR3(TRUE, java.lang.Object(ARRAY(i6[9], a17545data[9])), i1509[9], i1519[9], java.lang.Object(java.lang.String(i1755[9]))) → LOAD17214(java.lang.Object(ARRAY(i6[9], a17545data[9])), i1509[9] + 1, i1519[9] + -1)
(10): JMP22323'(java.lang.Object(ARRAY(i6[10], a17545data[10])), i1609[10], i1519[10]) → INC22472(java.lang.Object(ARRAY(i6[10], a17545data[10])), i1609[10], i1519[10])
(11): LOAD17214(java.lang.Object(ARRAY(i6[11], a17545data[11])), i1509[11], i1519[11]) → LOAD17214ARR4(java.lang.Object(ARRAY(i6[11], a17545data[11])), i1509[11], i1519[11], java.lang.Object(java.lang.String(i1755[11])))
(12): LOAD17214ARR4(java.lang.Object(ARRAY(i6[12], a17545data[12])), i1509[12], i1519[12], java.lang.Object(java.lang.String(i1755[12]))) → COND_LOAD17214ARR4(i1755[12] > 0 && i1509[12] > 0 && i1509[12] < i6[12] && i1519[12] > 0 && i1509[12] + 1 > 0, java.lang.Object(ARRAY(i6[12], a17545data[12])), i1509[12], i1519[12], java.lang.Object(java.lang.String(i1755[12])))
(13): COND_LOAD17214ARR4(TRUE, java.lang.Object(ARRAY(i6[13], a17545data[13])), i1509[13], i1519[13], java.lang.Object(java.lang.String(i1755[13]))) → INC22472(java.lang.Object(ARRAY(i6[13], a17545data[13])), i1509[13] + 1, i1519[13])
(14): LOAD17214(java.lang.Object(ARRAY(i6[14], a17545data[14])), i1509[14], i1519[14]) → LOAD17214ARR5(java.lang.Object(ARRAY(i6[14], a17545data[14])), i1509[14], i1519[14], java.lang.Object(java.lang.String(i1756[14])))
(15): LOAD17214ARR5(java.lang.Object(ARRAY(i6[15], a17545data[15])), i1509[15], i1519[15], java.lang.Object(java.lang.String(i1756[15]))) → COND_LOAD17214ARR5(i1756[15] <= 0 && i1509[15] > 0 && i1509[15] < i6[15] && i1519[15] > 0 && i1509[15] + 1 > 0, java.lang.Object(ARRAY(i6[15], a17545data[15])), i1509[15], i1519[15], java.lang.Object(java.lang.String(i1756[15])))
(16): COND_LOAD17214ARR5(TRUE, java.lang.Object(ARRAY(i6[16], a17545data[16])), i1509[16], i1519[16], java.lang.Object(java.lang.String(i1756[16]))) → INC22472(java.lang.Object(ARRAY(i6[16], a17545data[16])), i1509[16] + 1, i1519[16])
(17): LOAD17214(java.lang.Object(ARRAY(i6[17], a17545data[17])), i1509[17], i1519[17]) → LOAD17214ARR8(java.lang.Object(ARRAY(i6[17], a17545data[17])), i1509[17], i1519[17], java.lang.Object(java.lang.String(i1756[17])))
(18): LOAD17214ARR8(java.lang.Object(ARRAY(i6[18], a17545data[18])), i1509[18], i1519[18], java.lang.Object(java.lang.String(i1756[18]))) → COND_LOAD17214ARR8(i1756[18] <= 0 && i1509[18] > 0 && i1509[18] < i6[18] && i1519[18] > 0 && i1509[18] + 1 > 0, java.lang.Object(ARRAY(i6[18], a17545data[18])), i1509[18], i1519[18], java.lang.Object(java.lang.String(i1756[18])))
(19): COND_LOAD17214ARR8(TRUE, java.lang.Object(ARRAY(i6[19], a17545data[19])), i1509[19], i1519[19], java.lang.Object(java.lang.String(i1756[19]))) → JMP22323'(java.lang.Object(ARRAY(i6[19], a17545data[19])), i1509[19] + 1, i1519[19])

(0) -> (1), if (((i6[0]* i6[1])∧(a17545data[0]* a17545data[1]))∧((i1755[0]* i1755[1]))∧(i1519[0]* i1519[1])∧(i1509[0]* i1509[1]))


(1) -> (2), if ((i1509[1]* i1509[2])∧(i1755[1] > 0 && i1509[1] > 0 && i1509[1] < i6[1] && i1519[1] > 0 && i1509[1] + 1 > 0* TRUE)∧(i1519[1]* i1519[2])∧((i1755[1]* i1755[2]))∧((i6[1]* i6[2])∧(a17545data[1]* a17545data[2])))


(2) -> (10), if ((i1519[2]* i1519[10])∧(i1509[2] + 1* i1609[10])∧((i6[2]* i6[10])∧(a17545data[2]* a17545data[10])))


(3) -> (0), if ((i1519[3] + -1* i1519[0])∧((i6[3]* i6[0])∧(a17545data[3]* a17545data[0]))∧(i1609[3]* i1509[0]))


(3) -> (4), if ((i1519[3] + -1* i1519[4])∧((i6[3]* i6[4])∧(a17545data[3]* a17545data[4]))∧(i1609[3]* i1509[4]))


(3) -> (7), if ((i1609[3]* i1509[7])∧((i6[3]* i6[7])∧(a17545data[3]* a17545data[7]))∧(i1519[3] + -1* i1519[7]))


(3) -> (11), if (((i6[3]* i6[11])∧(a17545data[3]* a17545data[11]))∧(i1609[3]* i1509[11])∧(i1519[3] + -1* i1519[11]))


(3) -> (14), if ((i1609[3]* i1509[14])∧(i1519[3] + -1* i1519[14])∧((i6[3]* i6[14])∧(a17545data[3]* a17545data[14])))


(3) -> (17), if ((i1519[3] + -1* i1519[17])∧((i6[3]* i6[17])∧(a17545data[3]* a17545data[17]))∧(i1609[3]* i1509[17]))


(4) -> (5), if (((i1756[4]* i1756[5]))∧(i1509[4]* i1509[5])∧((i6[4]* i6[5])∧(a17545data[4]* a17545data[5]))∧(i1519[4]* i1519[5]))


(5) -> (6), if (((i1756[5]* i1756[6]))∧(i1519[5]* i1519[6])∧((i6[5]* i6[6])∧(a17545data[5]* a17545data[6]))∧(i1509[5]* i1509[6])∧(i1756[5] <= 0 && i1509[5] > 0 && i1509[5] < i6[5] && i1519[5] > 0 && i1509[5] + 1 > 0* TRUE))


(6) -> (0), if ((i1519[6] + -1* i1519[0])∧(i1509[6] + 1* i1509[0])∧((i6[6]* i6[0])∧(a17545data[6]* a17545data[0])))


(6) -> (4), if ((i1509[6] + 1* i1509[4])∧((i6[6]* i6[4])∧(a17545data[6]* a17545data[4]))∧(i1519[6] + -1* i1519[4]))


(6) -> (7), if (((i6[6]* i6[7])∧(a17545data[6]* a17545data[7]))∧(i1519[6] + -1* i1519[7])∧(i1509[6] + 1* i1509[7]))


(6) -> (11), if ((i1519[6] + -1* i1519[11])∧(i1509[6] + 1* i1509[11])∧((i6[6]* i6[11])∧(a17545data[6]* a17545data[11])))


(6) -> (14), if ((i1509[6] + 1* i1509[14])∧((i6[6]* i6[14])∧(a17545data[6]* a17545data[14]))∧(i1519[6] + -1* i1519[14]))


(6) -> (17), if ((i1519[6] + -1* i1519[17])∧(i1509[6] + 1* i1509[17])∧((i6[6]* i6[17])∧(a17545data[6]* a17545data[17])))


(7) -> (8), if ((i1519[7]* i1519[8])∧((i1755[7]* i1755[8]))∧(i1509[7]* i1509[8])∧((i6[7]* i6[8])∧(a17545data[7]* a17545data[8])))


(8) -> (9), if (((i1755[8]* i1755[9]))∧(i1519[8]* i1519[9])∧(i1755[8] > 0 && i1509[8] > 0 && i1509[8] < i6[8] && i1519[8] > 0 && i1509[8] + 1 > 0* TRUE)∧((i6[8]* i6[9])∧(a17545data[8]* a17545data[9]))∧(i1509[8]* i1509[9]))


(9) -> (0), if ((i1519[9] + -1* i1519[0])∧((i6[9]* i6[0])∧(a17545data[9]* a17545data[0]))∧(i1509[9] + 1* i1509[0]))


(9) -> (4), if ((i1519[9] + -1* i1519[4])∧(i1509[9] + 1* i1509[4])∧((i6[9]* i6[4])∧(a17545data[9]* a17545data[4])))


(9) -> (7), if ((i1519[9] + -1* i1519[7])∧(i1509[9] + 1* i1509[7])∧((i6[9]* i6[7])∧(a17545data[9]* a17545data[7])))


(9) -> (11), if ((i1509[9] + 1* i1509[11])∧(i1519[9] + -1* i1519[11])∧((i6[9]* i6[11])∧(a17545data[9]* a17545data[11])))


(9) -> (14), if ((i1519[9] + -1* i1519[14])∧(i1509[9] + 1* i1509[14])∧((i6[9]* i6[14])∧(a17545data[9]* a17545data[14])))


(9) -> (17), if ((i1519[9] + -1* i1519[17])∧((i6[9]* i6[17])∧(a17545data[9]* a17545data[17]))∧(i1509[9] + 1* i1509[17]))


(10) -> (3), if ((i1519[10]* i1519[3])∧(i1609[10]* i1609[3])∧((i6[10]* i6[3])∧(a17545data[10]* a17545data[3])))


(11) -> (12), if (((i6[11]* i6[12])∧(a17545data[11]* a17545data[12]))∧((i1755[11]* i1755[12]))∧(i1519[11]* i1519[12])∧(i1509[11]* i1509[12]))


(12) -> (13), if (((i1755[12]* i1755[13]))∧((i6[12]* i6[13])∧(a17545data[12]* a17545data[13]))∧(i1519[12]* i1519[13])∧(i1509[12]* i1509[13])∧(i1755[12] > 0 && i1509[12] > 0 && i1509[12] < i6[12] && i1519[12] > 0 && i1509[12] + 1 > 0* TRUE))


(13) -> (3), if (((i6[13]* i6[3])∧(a17545data[13]* a17545data[3]))∧(i1519[13]* i1519[3])∧(i1509[13] + 1* i1609[3]))


(14) -> (15), if (((i6[14]* i6[15])∧(a17545data[14]* a17545data[15]))∧((i1756[14]* i1756[15]))∧(i1519[14]* i1519[15])∧(i1509[14]* i1509[15]))


(15) -> (16), if ((i1756[15] <= 0 && i1509[15] > 0 && i1509[15] < i6[15] && i1519[15] > 0 && i1509[15] + 1 > 0* TRUE)∧((i6[15]* i6[16])∧(a17545data[15]* a17545data[16]))∧(i1519[15]* i1519[16])∧((i1756[15]* i1756[16]))∧(i1509[15]* i1509[16]))


(16) -> (3), if ((i1509[16] + 1* i1609[3])∧((i6[16]* i6[3])∧(a17545data[16]* a17545data[3]))∧(i1519[16]* i1519[3]))


(17) -> (18), if (((i6[17]* i6[18])∧(a17545data[17]* a17545data[18]))∧(i1509[17]* i1509[18])∧((i1756[17]* i1756[18]))∧(i1519[17]* i1519[18]))


(18) -> (19), if (((i6[18]* i6[19])∧(a17545data[18]* a17545data[19]))∧(i1509[18]* i1509[19])∧(i1519[18]* i1519[19])∧(i1756[18] <= 0 && i1509[18] > 0 && i1509[18] < i6[18] && i1519[18] > 0 && i1509[18] + 1 > 0* TRUE)∧((i1756[18]* i1756[19])))


(19) -> (10), if ((i1509[19] + 1* i1609[10])∧((i6[19]* i6[10])∧(a17545data[19]* a17545data[10]))∧(i1519[19]* i1519[10]))



The set Q consists of the following terms:
Load17214(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load17214ARR1(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load17214ARR1(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Inc22472(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load17214ARR2(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load17214ARR2(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Load17214ARR3(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load17214ARR3(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
JMP22323(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load17214ARR4(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load17214ARR4(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Load17214ARR5(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load17214ARR5(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Load17214ARR8(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load17214ARR8(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))

(31) IDPNonInfProof (SOUND transformation)

The constraints were generated the following way:
The DP Problem is simplified using the Induction Calculus [NONINF] with the following steps:
Note that final constraints are written in bold face.


For Pair LOAD17214(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519) → LOAD17214ARR1(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1755))) the following chains were created:
  • We consider the chain LOAD17214(java.lang.Object(ARRAY(i6[0], a17545data[0])), i1509[0], i1519[0]) → LOAD17214ARR1(java.lang.Object(ARRAY(i6[0], a17545data[0])), i1509[0], i1519[0], java.lang.Object(java.lang.String(i1755[0]))) which results in the following constraint:

    (1)    (LOAD17214(java.lang.Object(ARRAY(i6[0], a17545data[0])), i1509[0], i1519[0])≥NonInfC∧LOAD17214(java.lang.Object(ARRAY(i6[0], a17545data[0])), i1509[0], i1519[0])≥LOAD17214ARR1(java.lang.Object(ARRAY(i6[0], a17545data[0])), i1509[0], i1519[0], java.lang.Object(java.lang.String(i1755[0])))∧(UIncreasing(LOAD17214ARR1(java.lang.Object(ARRAY(i6[0], a17545data[0])), i1509[0], i1519[0], java.lang.Object(java.lang.String(i1755[0])))), ≥))



    We simplified constraint (1) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (2)    ((UIncreasing(LOAD17214ARR1(java.lang.Object(ARRAY(i6[0], a17545data[0])), i1509[0], i1519[0], java.lang.Object(java.lang.String(i1755[0])))), ≥)∧[(-1)bso_35] ≥ 0)



    We simplified constraint (2) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (3)    ((UIncreasing(LOAD17214ARR1(java.lang.Object(ARRAY(i6[0], a17545data[0])), i1509[0], i1519[0], java.lang.Object(java.lang.String(i1755[0])))), ≥)∧[(-1)bso_35] ≥ 0)



    We simplified constraint (3) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (4)    ((UIncreasing(LOAD17214ARR1(java.lang.Object(ARRAY(i6[0], a17545data[0])), i1509[0], i1519[0], java.lang.Object(java.lang.String(i1755[0])))), ≥)∧[(-1)bso_35] ≥ 0)



    We simplified constraint (4) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (5)    ((UIncreasing(LOAD17214ARR1(java.lang.Object(ARRAY(i6[0], a17545data[0])), i1509[0], i1519[0], java.lang.Object(java.lang.String(i1755[0])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_35] ≥ 0)







For Pair LOAD17214ARR1(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1755))) → COND_LOAD17214ARR1(&&(&&(&&(&&(>(i1755, 0), >(i1509, 0)), <(i1509, i6)), >(i1519, 0)), >(+(i1509, 1), 0)), java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1755))) the following chains were created:
  • We consider the chain LOAD17214ARR1(java.lang.Object(ARRAY(i6[1], a17545data[1])), i1509[1], i1519[1], java.lang.Object(java.lang.String(i1755[1]))) → COND_LOAD17214ARR1(&&(&&(&&(&&(>(i1755[1], 0), >(i1509[1], 0)), <(i1509[1], i6[1])), >(i1519[1], 0)), >(+(i1509[1], 1), 0)), java.lang.Object(ARRAY(i6[1], a17545data[1])), i1509[1], i1519[1], java.lang.Object(java.lang.String(i1755[1]))), COND_LOAD17214ARR1(TRUE, java.lang.Object(ARRAY(i6[2], a17545data[2])), i1509[2], i1519[2], java.lang.Object(java.lang.String(i1755[2]))) → JMP22323'(java.lang.Object(ARRAY(i6[2], a17545data[2])), +(i1509[2], 1), i1519[2]) which results in the following constraint:

    (6)    (i1509[1]=i1509[2]&&(&&(&&(&&(>(i1755[1], 0), >(i1509[1], 0)), <(i1509[1], i6[1])), >(i1519[1], 0)), >(+(i1509[1], 1), 0))=TRUEi1519[1]=i1519[2]i1755[1]=i1755[2]i6[1]=i6[2]a17545data[1]=a17545data[2]LOAD17214ARR1(java.lang.Object(ARRAY(i6[1], a17545data[1])), i1509[1], i1519[1], java.lang.Object(java.lang.String(i1755[1])))≥NonInfC∧LOAD17214ARR1(java.lang.Object(ARRAY(i6[1], a17545data[1])), i1509[1], i1519[1], java.lang.Object(java.lang.String(i1755[1])))≥COND_LOAD17214ARR1(&&(&&(&&(&&(>(i1755[1], 0), >(i1509[1], 0)), <(i1509[1], i6[1])), >(i1519[1], 0)), >(+(i1509[1], 1), 0)), java.lang.Object(ARRAY(i6[1], a17545data[1])), i1509[1], i1519[1], java.lang.Object(java.lang.String(i1755[1])))∧(UIncreasing(COND_LOAD17214ARR1(&&(&&(&&(&&(>(i1755[1], 0), >(i1509[1], 0)), <(i1509[1], i6[1])), >(i1519[1], 0)), >(+(i1509[1], 1), 0)), java.lang.Object(ARRAY(i6[1], a17545data[1])), i1509[1], i1519[1], java.lang.Object(java.lang.String(i1755[1])))), ≥))



    We simplified constraint (6) using rules (IV), (IDP_BOOLEAN) which results in the following new constraint:

    (7)    (>(+(i1509[1], 1), 0)=TRUE>(i1519[1], 0)=TRUE<(i1509[1], i6[1])=TRUE>(i1755[1], 0)=TRUE>(i1509[1], 0)=TRUELOAD17214ARR1(java.lang.Object(ARRAY(i6[1], a17545data[1])), i1509[1], i1519[1], java.lang.Object(java.lang.String(i1755[1])))≥NonInfC∧LOAD17214ARR1(java.lang.Object(ARRAY(i6[1], a17545data[1])), i1509[1], i1519[1], java.lang.Object(java.lang.String(i1755[1])))≥COND_LOAD17214ARR1(&&(&&(&&(&&(>(i1755[1], 0), >(i1509[1], 0)), <(i1509[1], i6[1])), >(i1519[1], 0)), >(+(i1509[1], 1), 0)), java.lang.Object(ARRAY(i6[1], a17545data[1])), i1509[1], i1519[1], java.lang.Object(java.lang.String(i1755[1])))∧(UIncreasing(COND_LOAD17214ARR1(&&(&&(&&(&&(>(i1755[1], 0), >(i1509[1], 0)), <(i1509[1], i6[1])), >(i1519[1], 0)), >(+(i1509[1], 1), 0)), java.lang.Object(ARRAY(i6[1], a17545data[1])), i1509[1], i1519[1], java.lang.Object(java.lang.String(i1755[1])))), ≥))



    We simplified constraint (7) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (8)    (i1509[1] ≥ 0∧i1519[1] + [-1] ≥ 0∧i6[1] + [-1] + [-1]i1509[1] ≥ 0∧i1755[1] + [-1] ≥ 0∧i1509[1] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD17214ARR1(&&(&&(&&(&&(>(i1755[1], 0), >(i1509[1], 0)), <(i1509[1], i6[1])), >(i1519[1], 0)), >(+(i1509[1], 1), 0)), java.lang.Object(ARRAY(i6[1], a17545data[1])), i1509[1], i1519[1], java.lang.Object(java.lang.String(i1755[1])))), ≥)∧[(-3)bni_36 + (-1)Bound*bni_36] + [bni_36]i1519[1] + [bni_36]i6[1] + [(-1)bni_36]i1509[1] ≥ 0∧[(-1)bso_37] ≥ 0)



    We simplified constraint (8) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (9)    (i1509[1] ≥ 0∧i1519[1] + [-1] ≥ 0∧i6[1] + [-1] + [-1]i1509[1] ≥ 0∧i1755[1] + [-1] ≥ 0∧i1509[1] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD17214ARR1(&&(&&(&&(&&(>(i1755[1], 0), >(i1509[1], 0)), <(i1509[1], i6[1])), >(i1519[1], 0)), >(+(i1509[1], 1), 0)), java.lang.Object(ARRAY(i6[1], a17545data[1])), i1509[1], i1519[1], java.lang.Object(java.lang.String(i1755[1])))), ≥)∧[(-3)bni_36 + (-1)Bound*bni_36] + [bni_36]i1519[1] + [bni_36]i6[1] + [(-1)bni_36]i1509[1] ≥ 0∧[(-1)bso_37] ≥ 0)



    We simplified constraint (9) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (10)    (i1509[1] ≥ 0∧i1519[1] + [-1] ≥ 0∧i6[1] + [-1] + [-1]i1509[1] ≥ 0∧i1755[1] + [-1] ≥ 0∧i1509[1] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD17214ARR1(&&(&&(&&(&&(>(i1755[1], 0), >(i1509[1], 0)), <(i1509[1], i6[1])), >(i1519[1], 0)), >(+(i1509[1], 1), 0)), java.lang.Object(ARRAY(i6[1], a17545data[1])), i1509[1], i1519[1], java.lang.Object(java.lang.String(i1755[1])))), ≥)∧[(-3)bni_36 + (-1)Bound*bni_36] + [bni_36]i1519[1] + [bni_36]i6[1] + [(-1)bni_36]i1509[1] ≥ 0∧[(-1)bso_37] ≥ 0)



    We simplified constraint (10) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (11)    (i1509[1] ≥ 0∧i1519[1] + [-1] ≥ 0∧i6[1] + [-1] + [-1]i1509[1] ≥ 0∧i1755[1] + [-1] ≥ 0∧i1509[1] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD17214ARR1(&&(&&(&&(&&(>(i1755[1], 0), >(i1509[1], 0)), <(i1509[1], i6[1])), >(i1519[1], 0)), >(+(i1509[1], 1), 0)), java.lang.Object(ARRAY(i6[1], a17545data[1])), i1509[1], i1519[1], java.lang.Object(java.lang.String(i1755[1])))), ≥)∧0 = 0∧[(-3)bni_36 + (-1)Bound*bni_36] + [bni_36]i1519[1] + [bni_36]i6[1] + [(-1)bni_36]i1509[1] ≥ 0∧0 = 0∧[(-1)bso_37] ≥ 0)



    We simplified constraint (11) using rule (IDP_SMT_SPLIT) which results in the following new constraint:

    (12)    ([1] + i1509[1] ≥ 0∧i1519[1] + [-1] ≥ 0∧i6[1] + [-2] + [-1]i1509[1] ≥ 0∧i1755[1] + [-1] ≥ 0∧i1509[1] ≥ 0 ⇒ (UIncreasing(COND_LOAD17214ARR1(&&(&&(&&(&&(>(i1755[1], 0), >(i1509[1], 0)), <(i1509[1], i6[1])), >(i1519[1], 0)), >(+(i1509[1], 1), 0)), java.lang.Object(ARRAY(i6[1], a17545data[1])), i1509[1], i1519[1], java.lang.Object(java.lang.String(i1755[1])))), ≥)∧0 = 0∧[(-4)bni_36 + (-1)Bound*bni_36] + [bni_36]i1519[1] + [bni_36]i6[1] + [(-1)bni_36]i1509[1] ≥ 0∧0 = 0∧[(-1)bso_37] ≥ 0)



    We simplified constraint (12) using rule (IDP_SMT_SPLIT) which results in the following new constraint:

    (13)    ([1] + i1509[1] ≥ 0∧i1519[1] ≥ 0∧i6[1] + [-2] + [-1]i1509[1] ≥ 0∧i1755[1] + [-1] ≥ 0∧i1509[1] ≥ 0 ⇒ (UIncreasing(COND_LOAD17214ARR1(&&(&&(&&(&&(>(i1755[1], 0), >(i1509[1], 0)), <(i1509[1], i6[1])), >(i1519[1], 0)), >(+(i1509[1], 1), 0)), java.lang.Object(ARRAY(i6[1], a17545data[1])), i1509[1], i1519[1], java.lang.Object(java.lang.String(i1755[1])))), ≥)∧0 = 0∧[(-3)bni_36 + (-1)Bound*bni_36] + [bni_36]i1519[1] + [bni_36]i6[1] + [(-1)bni_36]i1509[1] ≥ 0∧0 = 0∧[(-1)bso_37] ≥ 0)



    We simplified constraint (13) using rule (IDP_SMT_SPLIT) which results in the following new constraint:

    (14)    ([1] + i1509[1] ≥ 0∧i1519[1] ≥ 0∧i6[1] ≥ 0∧i1755[1] + [-1] ≥ 0∧i1509[1] ≥ 0 ⇒ (UIncreasing(COND_LOAD17214ARR1(&&(&&(&&(&&(>(i1755[1], 0), >(i1509[1], 0)), <(i1509[1], i6[1])), >(i1519[1], 0)), >(+(i1509[1], 1), 0)), java.lang.Object(ARRAY(i6[1], a17545data[1])), i1509[1], i1519[1], java.lang.Object(java.lang.String(i1755[1])))), ≥)∧0 = 0∧[(-1)Bound*bni_36 + (-1)bni_36] + [bni_36]i1519[1] + [bni_36]i6[1] ≥ 0∧0 = 0∧[(-1)bso_37] ≥ 0)



    We simplified constraint (14) using rule (IDP_SMT_SPLIT) which results in the following new constraint:

    (15)    ([1] + i1509[1] ≥ 0∧i1519[1] ≥ 0∧i6[1] ≥ 0∧i1755[1] ≥ 0∧i1509[1] ≥ 0 ⇒ (UIncreasing(COND_LOAD17214ARR1(&&(&&(&&(&&(>(i1755[1], 0), >(i1509[1], 0)), <(i1509[1], i6[1])), >(i1519[1], 0)), >(+(i1509[1], 1), 0)), java.lang.Object(ARRAY(i6[1], a17545data[1])), i1509[1], i1519[1], java.lang.Object(java.lang.String(i1755[1])))), ≥)∧0 = 0∧[(-1)Bound*bni_36 + (-1)bni_36] + [bni_36]i1519[1] + [bni_36]i6[1] ≥ 0∧0 = 0∧[(-1)bso_37] ≥ 0)







For Pair COND_LOAD17214ARR1(TRUE, java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1755))) → JMP22323'(java.lang.Object(ARRAY(i6, a17545data)), +(i1509, 1), i1519) the following chains were created:
  • We consider the chain COND_LOAD17214ARR1(TRUE, java.lang.Object(ARRAY(i6[2], a17545data[2])), i1509[2], i1519[2], java.lang.Object(java.lang.String(i1755[2]))) → JMP22323'(java.lang.Object(ARRAY(i6[2], a17545data[2])), +(i1509[2], 1), i1519[2]) which results in the following constraint:

    (16)    (COND_LOAD17214ARR1(TRUE, java.lang.Object(ARRAY(i6[2], a17545data[2])), i1509[2], i1519[2], java.lang.Object(java.lang.String(i1755[2])))≥NonInfC∧COND_LOAD17214ARR1(TRUE, java.lang.Object(ARRAY(i6[2], a17545data[2])), i1509[2], i1519[2], java.lang.Object(java.lang.String(i1755[2])))≥JMP22323'(java.lang.Object(ARRAY(i6[2], a17545data[2])), +(i1509[2], 1), i1519[2])∧(UIncreasing(JMP22323'(java.lang.Object(ARRAY(i6[2], a17545data[2])), +(i1509[2], 1), i1519[2])), ≥))



    We simplified constraint (16) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (17)    ((UIncreasing(JMP22323'(java.lang.Object(ARRAY(i6[2], a17545data[2])), +(i1509[2], 1), i1519[2])), ≥)∧[1 + (-1)bso_39] ≥ 0)



    We simplified constraint (17) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (18)    ((UIncreasing(JMP22323'(java.lang.Object(ARRAY(i6[2], a17545data[2])), +(i1509[2], 1), i1519[2])), ≥)∧[1 + (-1)bso_39] ≥ 0)



    We simplified constraint (18) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (19)    ((UIncreasing(JMP22323'(java.lang.Object(ARRAY(i6[2], a17545data[2])), +(i1509[2], 1), i1519[2])), ≥)∧[1 + (-1)bso_39] ≥ 0)



    We simplified constraint (19) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (20)    ((UIncreasing(JMP22323'(java.lang.Object(ARRAY(i6[2], a17545data[2])), +(i1509[2], 1), i1519[2])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_39] ≥ 0)







For Pair INC22472(java.lang.Object(ARRAY(i6, a17545data)), i1609, i1519) → LOAD17214(java.lang.Object(ARRAY(i6, a17545data)), i1609, +(i1519, -1)) the following chains were created:
  • We consider the chain INC22472(java.lang.Object(ARRAY(i6[3], a17545data[3])), i1609[3], i1519[3]) → LOAD17214(java.lang.Object(ARRAY(i6[3], a17545data[3])), i1609[3], +(i1519[3], -1)) which results in the following constraint:

    (21)    (INC22472(java.lang.Object(ARRAY(i6[3], a17545data[3])), i1609[3], i1519[3])≥NonInfC∧INC22472(java.lang.Object(ARRAY(i6[3], a17545data[3])), i1609[3], i1519[3])≥LOAD17214(java.lang.Object(ARRAY(i6[3], a17545data[3])), i1609[3], +(i1519[3], -1))∧(UIncreasing(LOAD17214(java.lang.Object(ARRAY(i6[3], a17545data[3])), i1609[3], +(i1519[3], -1))), ≥))



    We simplified constraint (21) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (22)    ((UIncreasing(LOAD17214(java.lang.Object(ARRAY(i6[3], a17545data[3])), i1609[3], +(i1519[3], -1))), ≥)∧[1 + (-1)bso_41] ≥ 0)



    We simplified constraint (22) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (23)    ((UIncreasing(LOAD17214(java.lang.Object(ARRAY(i6[3], a17545data[3])), i1609[3], +(i1519[3], -1))), ≥)∧[1 + (-1)bso_41] ≥ 0)



    We simplified constraint (23) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (24)    ((UIncreasing(LOAD17214(java.lang.Object(ARRAY(i6[3], a17545data[3])), i1609[3], +(i1519[3], -1))), ≥)∧[1 + (-1)bso_41] ≥ 0)



    We simplified constraint (24) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (25)    ((UIncreasing(LOAD17214(java.lang.Object(ARRAY(i6[3], a17545data[3])), i1609[3], +(i1519[3], -1))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_41] ≥ 0)







For Pair LOAD17214(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519) → LOAD17214ARR2(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1756))) the following chains were created:
  • We consider the chain LOAD17214(java.lang.Object(ARRAY(i6[4], a17545data[4])), i1509[4], i1519[4]) → LOAD17214ARR2(java.lang.Object(ARRAY(i6[4], a17545data[4])), i1509[4], i1519[4], java.lang.Object(java.lang.String(i1756[4]))) which results in the following constraint:

    (26)    (LOAD17214(java.lang.Object(ARRAY(i6[4], a17545data[4])), i1509[4], i1519[4])≥NonInfC∧LOAD17214(java.lang.Object(ARRAY(i6[4], a17545data[4])), i1509[4], i1519[4])≥LOAD17214ARR2(java.lang.Object(ARRAY(i6[4], a17545data[4])), i1509[4], i1519[4], java.lang.Object(java.lang.String(i1756[4])))∧(UIncreasing(LOAD17214ARR2(java.lang.Object(ARRAY(i6[4], a17545data[4])), i1509[4], i1519[4], java.lang.Object(java.lang.String(i1756[4])))), ≥))



    We simplified constraint (26) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (27)    ((UIncreasing(LOAD17214ARR2(java.lang.Object(ARRAY(i6[4], a17545data[4])), i1509[4], i1519[4], java.lang.Object(java.lang.String(i1756[4])))), ≥)∧[(-1)bso_43] ≥ 0)



    We simplified constraint (27) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (28)    ((UIncreasing(LOAD17214ARR2(java.lang.Object(ARRAY(i6[4], a17545data[4])), i1509[4], i1519[4], java.lang.Object(java.lang.String(i1756[4])))), ≥)∧[(-1)bso_43] ≥ 0)



    We simplified constraint (28) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (29)    ((UIncreasing(LOAD17214ARR2(java.lang.Object(ARRAY(i6[4], a17545data[4])), i1509[4], i1519[4], java.lang.Object(java.lang.String(i1756[4])))), ≥)∧[(-1)bso_43] ≥ 0)



    We simplified constraint (29) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (30)    ((UIncreasing(LOAD17214ARR2(java.lang.Object(ARRAY(i6[4], a17545data[4])), i1509[4], i1519[4], java.lang.Object(java.lang.String(i1756[4])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_43] ≥ 0)







For Pair LOAD17214ARR2(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1756))) → COND_LOAD17214ARR2(&&(&&(&&(&&(<=(i1756, 0), >(i1509, 0)), <(i1509, i6)), >(i1519, 0)), >(+(i1509, 1), 0)), java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1756))) the following chains were created:
  • We consider the chain LOAD17214ARR2(java.lang.Object(ARRAY(i6[5], a17545data[5])), i1509[5], i1519[5], java.lang.Object(java.lang.String(i1756[5]))) → COND_LOAD17214ARR2(&&(&&(&&(&&(<=(i1756[5], 0), >(i1509[5], 0)), <(i1509[5], i6[5])), >(i1519[5], 0)), >(+(i1509[5], 1), 0)), java.lang.Object(ARRAY(i6[5], a17545data[5])), i1509[5], i1519[5], java.lang.Object(java.lang.String(i1756[5]))), COND_LOAD17214ARR2(TRUE, java.lang.Object(ARRAY(i6[6], a17545data[6])), i1509[6], i1519[6], java.lang.Object(java.lang.String(i1756[6]))) → LOAD17214(java.lang.Object(ARRAY(i6[6], a17545data[6])), +(i1509[6], 1), +(i1519[6], -1)) which results in the following constraint:

    (31)    (i1756[5]=i1756[6]i1519[5]=i1519[6]i6[5]=i6[6]a17545data[5]=a17545data[6]i1509[5]=i1509[6]&&(&&(&&(&&(<=(i1756[5], 0), >(i1509[5], 0)), <(i1509[5], i6[5])), >(i1519[5], 0)), >(+(i1509[5], 1), 0))=TRUELOAD17214ARR2(java.lang.Object(ARRAY(i6[5], a17545data[5])), i1509[5], i1519[5], java.lang.Object(java.lang.String(i1756[5])))≥NonInfC∧LOAD17214ARR2(java.lang.Object(ARRAY(i6[5], a17545data[5])), i1509[5], i1519[5], java.lang.Object(java.lang.String(i1756[5])))≥COND_LOAD17214ARR2(&&(&&(&&(&&(<=(i1756[5], 0), >(i1509[5], 0)), <(i1509[5], i6[5])), >(i1519[5], 0)), >(+(i1509[5], 1), 0)), java.lang.Object(ARRAY(i6[5], a17545data[5])), i1509[5], i1519[5], java.lang.Object(java.lang.String(i1756[5])))∧(UIncreasing(COND_LOAD17214ARR2(&&(&&(&&(&&(<=(i1756[5], 0), >(i1509[5], 0)), <(i1509[5], i6[5])), >(i1519[5], 0)), >(+(i1509[5], 1), 0)), java.lang.Object(ARRAY(i6[5], a17545data[5])), i1509[5], i1519[5], java.lang.Object(java.lang.String(i1756[5])))), ≥))



    We simplified constraint (31) using rules (IV), (IDP_BOOLEAN) which results in the following new constraint:

    (32)    (>(+(i1509[5], 1), 0)=TRUE>(i1519[5], 0)=TRUE<(i1509[5], i6[5])=TRUE<=(i1756[5], 0)=TRUE>(i1509[5], 0)=TRUELOAD17214ARR2(java.lang.Object(ARRAY(i6[5], a17545data[5])), i1509[5], i1519[5], java.lang.Object(java.lang.String(i1756[5])))≥NonInfC∧LOAD17214ARR2(java.lang.Object(ARRAY(i6[5], a17545data[5])), i1509[5], i1519[5], java.lang.Object(java.lang.String(i1756[5])))≥COND_LOAD17214ARR2(&&(&&(&&(&&(<=(i1756[5], 0), >(i1509[5], 0)), <(i1509[5], i6[5])), >(i1519[5], 0)), >(+(i1509[5], 1), 0)), java.lang.Object(ARRAY(i6[5], a17545data[5])), i1509[5], i1519[5], java.lang.Object(java.lang.String(i1756[5])))∧(UIncreasing(COND_LOAD17214ARR2(&&(&&(&&(&&(<=(i1756[5], 0), >(i1509[5], 0)), <(i1509[5], i6[5])), >(i1519[5], 0)), >(+(i1509[5], 1), 0)), java.lang.Object(ARRAY(i6[5], a17545data[5])), i1509[5], i1519[5], java.lang.Object(java.lang.String(i1756[5])))), ≥))



    We simplified constraint (32) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (33)    (i1509[5] ≥ 0∧i1519[5] + [-1] ≥ 0∧i6[5] + [-1] + [-1]i1509[5] ≥ 0∧[-1]i1756[5] ≥ 0∧i1509[5] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD17214ARR2(&&(&&(&&(&&(<=(i1756[5], 0), >(i1509[5], 0)), <(i1509[5], i6[5])), >(i1519[5], 0)), >(+(i1509[5], 1), 0)), java.lang.Object(ARRAY(i6[5], a17545data[5])), i1509[5], i1519[5], java.lang.Object(java.lang.String(i1756[5])))), ≥)∧[(-3)bni_44 + (-1)Bound*bni_44] + [bni_44]i1519[5] + [bni_44]i6[5] + [(-1)bni_44]i1509[5] ≥ 0∧[(-1)bso_45] ≥ 0)



    We simplified constraint (33) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (34)    (i1509[5] ≥ 0∧i1519[5] + [-1] ≥ 0∧i6[5] + [-1] + [-1]i1509[5] ≥ 0∧[-1]i1756[5] ≥ 0∧i1509[5] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD17214ARR2(&&(&&(&&(&&(<=(i1756[5], 0), >(i1509[5], 0)), <(i1509[5], i6[5])), >(i1519[5], 0)), >(+(i1509[5], 1), 0)), java.lang.Object(ARRAY(i6[5], a17545data[5])), i1509[5], i1519[5], java.lang.Object(java.lang.String(i1756[5])))), ≥)∧[(-3)bni_44 + (-1)Bound*bni_44] + [bni_44]i1519[5] + [bni_44]i6[5] + [(-1)bni_44]i1509[5] ≥ 0∧[(-1)bso_45] ≥ 0)



    We simplified constraint (34) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (35)    (i1509[5] ≥ 0∧i1519[5] + [-1] ≥ 0∧i6[5] + [-1] + [-1]i1509[5] ≥ 0∧[-1]i1756[5] ≥ 0∧i1509[5] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD17214ARR2(&&(&&(&&(&&(<=(i1756[5], 0), >(i1509[5], 0)), <(i1509[5], i6[5])), >(i1519[5], 0)), >(+(i1509[5], 1), 0)), java.lang.Object(ARRAY(i6[5], a17545data[5])), i1509[5], i1519[5], java.lang.Object(java.lang.String(i1756[5])))), ≥)∧[(-3)bni_44 + (-1)Bound*bni_44] + [bni_44]i1519[5] + [bni_44]i6[5] + [(-1)bni_44]i1509[5] ≥ 0∧[(-1)bso_45] ≥ 0)



    We simplified constraint (35) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (36)    (i1509[5] ≥ 0∧i1519[5] + [-1] ≥ 0∧i6[5] + [-1] + [-1]i1509[5] ≥ 0∧[-1]i1756[5] ≥ 0∧i1509[5] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD17214ARR2(&&(&&(&&(&&(<=(i1756[5], 0), >(i1509[5], 0)), <(i1509[5], i6[5])), >(i1519[5], 0)), >(+(i1509[5], 1), 0)), java.lang.Object(ARRAY(i6[5], a17545data[5])), i1509[5], i1519[5], java.lang.Object(java.lang.String(i1756[5])))), ≥)∧0 = 0∧[(-3)bni_44 + (-1)Bound*bni_44] + [bni_44]i1519[5] + [bni_44]i6[5] + [(-1)bni_44]i1509[5] ≥ 0∧0 = 0∧[(-1)bso_45] ≥ 0)



    We simplified constraint (36) using rule (IDP_SMT_SPLIT) which results in the following new constraint:

    (37)    ([1] + i1509[5] ≥ 0∧i1519[5] + [-1] ≥ 0∧i6[5] + [-2] + [-1]i1509[5] ≥ 0∧[-1]i1756[5] ≥ 0∧i1509[5] ≥ 0 ⇒ (UIncreasing(COND_LOAD17214ARR2(&&(&&(&&(&&(<=(i1756[5], 0), >(i1509[5], 0)), <(i1509[5], i6[5])), >(i1519[5], 0)), >(+(i1509[5], 1), 0)), java.lang.Object(ARRAY(i6[5], a17545data[5])), i1509[5], i1519[5], java.lang.Object(java.lang.String(i1756[5])))), ≥)∧0 = 0∧[(-4)bni_44 + (-1)Bound*bni_44] + [bni_44]i1519[5] + [bni_44]i6[5] + [(-1)bni_44]i1509[5] ≥ 0∧0 = 0∧[(-1)bso_45] ≥ 0)



    We simplified constraint (37) using rule (IDP_SMT_SPLIT) which results in the following new constraint:

    (38)    ([1] + i1509[5] ≥ 0∧i1519[5] ≥ 0∧i6[5] + [-2] + [-1]i1509[5] ≥ 0∧[-1]i1756[5] ≥ 0∧i1509[5] ≥ 0 ⇒ (UIncreasing(COND_LOAD17214ARR2(&&(&&(&&(&&(<=(i1756[5], 0), >(i1509[5], 0)), <(i1509[5], i6[5])), >(i1519[5], 0)), >(+(i1509[5], 1), 0)), java.lang.Object(ARRAY(i6[5], a17545data[5])), i1509[5], i1519[5], java.lang.Object(java.lang.String(i1756[5])))), ≥)∧0 = 0∧[(-3)bni_44 + (-1)Bound*bni_44] + [bni_44]i1519[5] + [bni_44]i6[5] + [(-1)bni_44]i1509[5] ≥ 0∧0 = 0∧[(-1)bso_45] ≥ 0)



    We simplified constraint (38) using rule (IDP_SMT_SPLIT) which results in the following new constraint:

    (39)    ([1] + i1509[5] ≥ 0∧i1519[5] ≥ 0∧i6[5] ≥ 0∧[-1]i1756[5] ≥ 0∧i1509[5] ≥ 0 ⇒ (UIncreasing(COND_LOAD17214ARR2(&&(&&(&&(&&(<=(i1756[5], 0), >(i1509[5], 0)), <(i1509[5], i6[5])), >(i1519[5], 0)), >(+(i1509[5], 1), 0)), java.lang.Object(ARRAY(i6[5], a17545data[5])), i1509[5], i1519[5], java.lang.Object(java.lang.String(i1756[5])))), ≥)∧0 = 0∧[(-1)Bound*bni_44 + (-1)bni_44] + [bni_44]i1519[5] + [bni_44]i6[5] ≥ 0∧0 = 0∧[(-1)bso_45] ≥ 0)



    We simplified constraint (39) using rule (IDP_SMT_SPLIT) which results in the following new constraint:

    (40)    ([1] + i1509[5] ≥ 0∧i1519[5] ≥ 0∧i6[5] ≥ 0∧i1756[5] ≥ 0∧i1509[5] ≥ 0 ⇒ (UIncreasing(COND_LOAD17214ARR2(&&(&&(&&(&&(<=(i1756[5], 0), >(i1509[5], 0)), <(i1509[5], i6[5])), >(i1519[5], 0)), >(+(i1509[5], 1), 0)), java.lang.Object(ARRAY(i6[5], a17545data[5])), i1509[5], i1519[5], java.lang.Object(java.lang.String(i1756[5])))), ≥)∧0 = 0∧[(-1)Bound*bni_44 + (-1)bni_44] + [bni_44]i1519[5] + [bni_44]i6[5] ≥ 0∧0 = 0∧[(-1)bso_45] ≥ 0)







For Pair COND_LOAD17214ARR2(TRUE, java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1756))) → LOAD17214(java.lang.Object(ARRAY(i6, a17545data)), +(i1509, 1), +(i1519, -1)) the following chains were created:
  • We consider the chain COND_LOAD17214ARR2(TRUE, java.lang.Object(ARRAY(i6[6], a17545data[6])), i1509[6], i1519[6], java.lang.Object(java.lang.String(i1756[6]))) → LOAD17214(java.lang.Object(ARRAY(i6[6], a17545data[6])), +(i1509[6], 1), +(i1519[6], -1)) which results in the following constraint:

    (41)    (COND_LOAD17214ARR2(TRUE, java.lang.Object(ARRAY(i6[6], a17545data[6])), i1509[6], i1519[6], java.lang.Object(java.lang.String(i1756[6])))≥NonInfC∧COND_LOAD17214ARR2(TRUE, java.lang.Object(ARRAY(i6[6], a17545data[6])), i1509[6], i1519[6], java.lang.Object(java.lang.String(i1756[6])))≥LOAD17214(java.lang.Object(ARRAY(i6[6], a17545data[6])), +(i1509[6], 1), +(i1519[6], -1))∧(UIncreasing(LOAD17214(java.lang.Object(ARRAY(i6[6], a17545data[6])), +(i1509[6], 1), +(i1519[6], -1))), ≥))



    We simplified constraint (41) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (42)    ((UIncreasing(LOAD17214(java.lang.Object(ARRAY(i6[6], a17545data[6])), +(i1509[6], 1), +(i1519[6], -1))), ≥)∧[2 + (-1)bso_47] ≥ 0)



    We simplified constraint (42) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (43)    ((UIncreasing(LOAD17214(java.lang.Object(ARRAY(i6[6], a17545data[6])), +(i1509[6], 1), +(i1519[6], -1))), ≥)∧[2 + (-1)bso_47] ≥ 0)



    We simplified constraint (43) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (44)    ((UIncreasing(LOAD17214(java.lang.Object(ARRAY(i6[6], a17545data[6])), +(i1509[6], 1), +(i1519[6], -1))), ≥)∧[2 + (-1)bso_47] ≥ 0)



    We simplified constraint (44) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (45)    ((UIncreasing(LOAD17214(java.lang.Object(ARRAY(i6[6], a17545data[6])), +(i1509[6], 1), +(i1519[6], -1))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[2 + (-1)bso_47] ≥ 0)







For Pair LOAD17214(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519) → LOAD17214ARR3(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1755))) the following chains were created:
  • We consider the chain LOAD17214(java.lang.Object(ARRAY(i6[7], a17545data[7])), i1509[7], i1519[7]) → LOAD17214ARR3(java.lang.Object(ARRAY(i6[7], a17545data[7])), i1509[7], i1519[7], java.lang.Object(java.lang.String(i1755[7]))) which results in the following constraint:

    (46)    (LOAD17214(java.lang.Object(ARRAY(i6[7], a17545data[7])), i1509[7], i1519[7])≥NonInfC∧LOAD17214(java.lang.Object(ARRAY(i6[7], a17545data[7])), i1509[7], i1519[7])≥LOAD17214ARR3(java.lang.Object(ARRAY(i6[7], a17545data[7])), i1509[7], i1519[7], java.lang.Object(java.lang.String(i1755[7])))∧(UIncreasing(LOAD17214ARR3(java.lang.Object(ARRAY(i6[7], a17545data[7])), i1509[7], i1519[7], java.lang.Object(java.lang.String(i1755[7])))), ≥))



    We simplified constraint (46) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (47)    ((UIncreasing(LOAD17214ARR3(java.lang.Object(ARRAY(i6[7], a17545data[7])), i1509[7], i1519[7], java.lang.Object(java.lang.String(i1755[7])))), ≥)∧[(-1)bso_49] ≥ 0)



    We simplified constraint (47) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (48)    ((UIncreasing(LOAD17214ARR3(java.lang.Object(ARRAY(i6[7], a17545data[7])), i1509[7], i1519[7], java.lang.Object(java.lang.String(i1755[7])))), ≥)∧[(-1)bso_49] ≥ 0)



    We simplified constraint (48) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (49)    ((UIncreasing(LOAD17214ARR3(java.lang.Object(ARRAY(i6[7], a17545data[7])), i1509[7], i1519[7], java.lang.Object(java.lang.String(i1755[7])))), ≥)∧[(-1)bso_49] ≥ 0)



    We simplified constraint (49) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (50)    ((UIncreasing(LOAD17214ARR3(java.lang.Object(ARRAY(i6[7], a17545data[7])), i1509[7], i1519[7], java.lang.Object(java.lang.String(i1755[7])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_49] ≥ 0)







For Pair LOAD17214ARR3(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1755))) → COND_LOAD17214ARR3(&&(&&(&&(&&(>(i1755, 0), >(i1509, 0)), <(i1509, i6)), >(i1519, 0)), >(+(i1509, 1), 0)), java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1755))) the following chains were created:
  • We consider the chain LOAD17214ARR3(java.lang.Object(ARRAY(i6[8], a17545data[8])), i1509[8], i1519[8], java.lang.Object(java.lang.String(i1755[8]))) → COND_LOAD17214ARR3(&&(&&(&&(&&(>(i1755[8], 0), >(i1509[8], 0)), <(i1509[8], i6[8])), >(i1519[8], 0)), >(+(i1509[8], 1), 0)), java.lang.Object(ARRAY(i6[8], a17545data[8])), i1509[8], i1519[8], java.lang.Object(java.lang.String(i1755[8]))), COND_LOAD17214ARR3(TRUE, java.lang.Object(ARRAY(i6[9], a17545data[9])), i1509[9], i1519[9], java.lang.Object(java.lang.String(i1755[9]))) → LOAD17214(java.lang.Object(ARRAY(i6[9], a17545data[9])), +(i1509[9], 1), +(i1519[9], -1)) which results in the following constraint:

    (51)    (i1755[8]=i1755[9]i1519[8]=i1519[9]&&(&&(&&(&&(>(i1755[8], 0), >(i1509[8], 0)), <(i1509[8], i6[8])), >(i1519[8], 0)), >(+(i1509[8], 1), 0))=TRUEi6[8]=i6[9]a17545data[8]=a17545data[9]i1509[8]=i1509[9]LOAD17214ARR3(java.lang.Object(ARRAY(i6[8], a17545data[8])), i1509[8], i1519[8], java.lang.Object(java.lang.String(i1755[8])))≥NonInfC∧LOAD17214ARR3(java.lang.Object(ARRAY(i6[8], a17545data[8])), i1509[8], i1519[8], java.lang.Object(java.lang.String(i1755[8])))≥COND_LOAD17214ARR3(&&(&&(&&(&&(>(i1755[8], 0), >(i1509[8], 0)), <(i1509[8], i6[8])), >(i1519[8], 0)), >(+(i1509[8], 1), 0)), java.lang.Object(ARRAY(i6[8], a17545data[8])), i1509[8], i1519[8], java.lang.Object(java.lang.String(i1755[8])))∧(UIncreasing(COND_LOAD17214ARR3(&&(&&(&&(&&(>(i1755[8], 0), >(i1509[8], 0)), <(i1509[8], i6[8])), >(i1519[8], 0)), >(+(i1509[8], 1), 0)), java.lang.Object(ARRAY(i6[8], a17545data[8])), i1509[8], i1519[8], java.lang.Object(java.lang.String(i1755[8])))), ≥))



    We simplified constraint (51) using rules (IV), (IDP_BOOLEAN) which results in the following new constraint:

    (52)    (>(+(i1509[8], 1), 0)=TRUE>(i1519[8], 0)=TRUE<(i1509[8], i6[8])=TRUE>(i1755[8], 0)=TRUE>(i1509[8], 0)=TRUELOAD17214ARR3(java.lang.Object(ARRAY(i6[8], a17545data[8])), i1509[8], i1519[8], java.lang.Object(java.lang.String(i1755[8])))≥NonInfC∧LOAD17214ARR3(java.lang.Object(ARRAY(i6[8], a17545data[8])), i1509[8], i1519[8], java.lang.Object(java.lang.String(i1755[8])))≥COND_LOAD17214ARR3(&&(&&(&&(&&(>(i1755[8], 0), >(i1509[8], 0)), <(i1509[8], i6[8])), >(i1519[8], 0)), >(+(i1509[8], 1), 0)), java.lang.Object(ARRAY(i6[8], a17545data[8])), i1509[8], i1519[8], java.lang.Object(java.lang.String(i1755[8])))∧(UIncreasing(COND_LOAD17214ARR3(&&(&&(&&(&&(>(i1755[8], 0), >(i1509[8], 0)), <(i1509[8], i6[8])), >(i1519[8], 0)), >(+(i1509[8], 1), 0)), java.lang.Object(ARRAY(i6[8], a17545data[8])), i1509[8], i1519[8], java.lang.Object(java.lang.String(i1755[8])))), ≥))



    We simplified constraint (52) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (53)    (i1509[8] ≥ 0∧i1519[8] + [-1] ≥ 0∧i6[8] + [-1] + [-1]i1509[8] ≥ 0∧i1755[8] + [-1] ≥ 0∧i1509[8] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD17214ARR3(&&(&&(&&(&&(>(i1755[8], 0), >(i1509[8], 0)), <(i1509[8], i6[8])), >(i1519[8], 0)), >(+(i1509[8], 1), 0)), java.lang.Object(ARRAY(i6[8], a17545data[8])), i1509[8], i1519[8], java.lang.Object(java.lang.String(i1755[8])))), ≥)∧[(-3)bni_50 + (-1)Bound*bni_50] + [bni_50]i1519[8] + [bni_50]i6[8] + [(-1)bni_50]i1509[8] ≥ 0∧[(-1)bso_51] ≥ 0)



    We simplified constraint (53) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (54)    (i1509[8] ≥ 0∧i1519[8] + [-1] ≥ 0∧i6[8] + [-1] + [-1]i1509[8] ≥ 0∧i1755[8] + [-1] ≥ 0∧i1509[8] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD17214ARR3(&&(&&(&&(&&(>(i1755[8], 0), >(i1509[8], 0)), <(i1509[8], i6[8])), >(i1519[8], 0)), >(+(i1509[8], 1), 0)), java.lang.Object(ARRAY(i6[8], a17545data[8])), i1509[8], i1519[8], java.lang.Object(java.lang.String(i1755[8])))), ≥)∧[(-3)bni_50 + (-1)Bound*bni_50] + [bni_50]i1519[8] + [bni_50]i6[8] + [(-1)bni_50]i1509[8] ≥ 0∧[(-1)bso_51] ≥ 0)



    We simplified constraint (54) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (55)    (i1509[8] ≥ 0∧i1519[8] + [-1] ≥ 0∧i6[8] + [-1] + [-1]i1509[8] ≥ 0∧i1755[8] + [-1] ≥ 0∧i1509[8] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD17214ARR3(&&(&&(&&(&&(>(i1755[8], 0), >(i1509[8], 0)), <(i1509[8], i6[8])), >(i1519[8], 0)), >(+(i1509[8], 1), 0)), java.lang.Object(ARRAY(i6[8], a17545data[8])), i1509[8], i1519[8], java.lang.Object(java.lang.String(i1755[8])))), ≥)∧[(-3)bni_50 + (-1)Bound*bni_50] + [bni_50]i1519[8] + [bni_50]i6[8] + [(-1)bni_50]i1509[8] ≥ 0∧[(-1)bso_51] ≥ 0)



    We simplified constraint (55) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (56)    (i1509[8] ≥ 0∧i1519[8] + [-1] ≥ 0∧i6[8] + [-1] + [-1]i1509[8] ≥ 0∧i1755[8] + [-1] ≥ 0∧i1509[8] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD17214ARR3(&&(&&(&&(&&(>(i1755[8], 0), >(i1509[8], 0)), <(i1509[8], i6[8])), >(i1519[8], 0)), >(+(i1509[8], 1), 0)), java.lang.Object(ARRAY(i6[8], a17545data[8])), i1509[8], i1519[8], java.lang.Object(java.lang.String(i1755[8])))), ≥)∧0 = 0∧[(-3)bni_50 + (-1)Bound*bni_50] + [bni_50]i1519[8] + [bni_50]i6[8] + [(-1)bni_50]i1509[8] ≥ 0∧0 = 0∧[(-1)bso_51] ≥ 0)



    We simplified constraint (56) using rule (IDP_SMT_SPLIT) which results in the following new constraint:

    (57)    ([1] + i1509[8] ≥ 0∧i1519[8] + [-1] ≥ 0∧i6[8] + [-2] + [-1]i1509[8] ≥ 0∧i1755[8] + [-1] ≥ 0∧i1509[8] ≥ 0 ⇒ (UIncreasing(COND_LOAD17214ARR3(&&(&&(&&(&&(>(i1755[8], 0), >(i1509[8], 0)), <(i1509[8], i6[8])), >(i1519[8], 0)), >(+(i1509[8], 1), 0)), java.lang.Object(ARRAY(i6[8], a17545data[8])), i1509[8], i1519[8], java.lang.Object(java.lang.String(i1755[8])))), ≥)∧0 = 0∧[(-4)bni_50 + (-1)Bound*bni_50] + [bni_50]i1519[8] + [bni_50]i6[8] + [(-1)bni_50]i1509[8] ≥ 0∧0 = 0∧[(-1)bso_51] ≥ 0)



    We simplified constraint (57) using rule (IDP_SMT_SPLIT) which results in the following new constraint:

    (58)    ([1] + i1509[8] ≥ 0∧i1519[8] ≥ 0∧i6[8] + [-2] + [-1]i1509[8] ≥ 0∧i1755[8] + [-1] ≥ 0∧i1509[8] ≥ 0 ⇒ (UIncreasing(COND_LOAD17214ARR3(&&(&&(&&(&&(>(i1755[8], 0), >(i1509[8], 0)), <(i1509[8], i6[8])), >(i1519[8], 0)), >(+(i1509[8], 1), 0)), java.lang.Object(ARRAY(i6[8], a17545data[8])), i1509[8], i1519[8], java.lang.Object(java.lang.String(i1755[8])))), ≥)∧0 = 0∧[(-3)bni_50 + (-1)Bound*bni_50] + [bni_50]i1519[8] + [bni_50]i6[8] + [(-1)bni_50]i1509[8] ≥ 0∧0 = 0∧[(-1)bso_51] ≥ 0)



    We simplified constraint (58) using rule (IDP_SMT_SPLIT) which results in the following new constraint:

    (59)    ([1] + i1509[8] ≥ 0∧i1519[8] ≥ 0∧i6[8] ≥ 0∧i1755[8] + [-1] ≥ 0∧i1509[8] ≥ 0 ⇒ (UIncreasing(COND_LOAD17214ARR3(&&(&&(&&(&&(>(i1755[8], 0), >(i1509[8], 0)), <(i1509[8], i6[8])), >(i1519[8], 0)), >(+(i1509[8], 1), 0)), java.lang.Object(ARRAY(i6[8], a17545data[8])), i1509[8], i1519[8], java.lang.Object(java.lang.String(i1755[8])))), ≥)∧0 = 0∧[(-1)Bound*bni_50 + (-1)bni_50] + [bni_50]i1519[8] + [bni_50]i6[8] ≥ 0∧0 = 0∧[(-1)bso_51] ≥ 0)



    We simplified constraint (59) using rule (IDP_SMT_SPLIT) which results in the following new constraint:

    (60)    ([1] + i1509[8] ≥ 0∧i1519[8] ≥ 0∧i6[8] ≥ 0∧i1755[8] ≥ 0∧i1509[8] ≥ 0 ⇒ (UIncreasing(COND_LOAD17214ARR3(&&(&&(&&(&&(>(i1755[8], 0), >(i1509[8], 0)), <(i1509[8], i6[8])), >(i1519[8], 0)), >(+(i1509[8], 1), 0)), java.lang.Object(ARRAY(i6[8], a17545data[8])), i1509[8], i1519[8], java.lang.Object(java.lang.String(i1755[8])))), ≥)∧0 = 0∧[(-1)Bound*bni_50 + (-1)bni_50] + [bni_50]i1519[8] + [bni_50]i6[8] ≥ 0∧0 = 0∧[(-1)bso_51] ≥ 0)







For Pair COND_LOAD17214ARR3(TRUE, java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1755))) → LOAD17214(java.lang.Object(ARRAY(i6, a17545data)), +(i1509, 1), +(i1519, -1)) the following chains were created:
  • We consider the chain COND_LOAD17214ARR3(TRUE, java.lang.Object(ARRAY(i6[9], a17545data[9])), i1509[9], i1519[9], java.lang.Object(java.lang.String(i1755[9]))) → LOAD17214(java.lang.Object(ARRAY(i6[9], a17545data[9])), +(i1509[9], 1), +(i1519[9], -1)) which results in the following constraint:

    (61)    (COND_LOAD17214ARR3(TRUE, java.lang.Object(ARRAY(i6[9], a17545data[9])), i1509[9], i1519[9], java.lang.Object(java.lang.String(i1755[9])))≥NonInfC∧COND_LOAD17214ARR3(TRUE, java.lang.Object(ARRAY(i6[9], a17545data[9])), i1509[9], i1519[9], java.lang.Object(java.lang.String(i1755[9])))≥LOAD17214(java.lang.Object(ARRAY(i6[9], a17545data[9])), +(i1509[9], 1), +(i1519[9], -1))∧(UIncreasing(LOAD17214(java.lang.Object(ARRAY(i6[9], a17545data[9])), +(i1509[9], 1), +(i1519[9], -1))), ≥))



    We simplified constraint (61) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (62)    ((UIncreasing(LOAD17214(java.lang.Object(ARRAY(i6[9], a17545data[9])), +(i1509[9], 1), +(i1519[9], -1))), ≥)∧[2 + (-1)bso_53] ≥ 0)



    We simplified constraint (62) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (63)    ((UIncreasing(LOAD17214(java.lang.Object(ARRAY(i6[9], a17545data[9])), +(i1509[9], 1), +(i1519[9], -1))), ≥)∧[2 + (-1)bso_53] ≥ 0)



    We simplified constraint (63) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (64)    ((UIncreasing(LOAD17214(java.lang.Object(ARRAY(i6[9], a17545data[9])), +(i1509[9], 1), +(i1519[9], -1))), ≥)∧[2 + (-1)bso_53] ≥ 0)



    We simplified constraint (64) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (65)    ((UIncreasing(LOAD17214(java.lang.Object(ARRAY(i6[9], a17545data[9])), +(i1509[9], 1), +(i1519[9], -1))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[2 + (-1)bso_53] ≥ 0)







For Pair JMP22323'(java.lang.Object(ARRAY(i6, a17545data)), i1609, i1519) → INC22472(java.lang.Object(ARRAY(i6, a17545data)), i1609, i1519) the following chains were created:
  • We consider the chain JMP22323'(java.lang.Object(ARRAY(i6[10], a17545data[10])), i1609[10], i1519[10]) → INC22472(java.lang.Object(ARRAY(i6[10], a17545data[10])), i1609[10], i1519[10]), INC22472(java.lang.Object(ARRAY(i6[3], a17545data[3])), i1609[3], i1519[3]) → LOAD17214(java.lang.Object(ARRAY(i6[3], a17545data[3])), i1609[3], +(i1519[3], -1)) which results in the following constraint:

    (66)    (i1519[10]=i1519[3]i1609[10]=i1609[3]i6[10]=i6[3]a17545data[10]=a17545data[3]JMP22323'(java.lang.Object(ARRAY(i6[10], a17545data[10])), i1609[10], i1519[10])≥NonInfC∧JMP22323'(java.lang.Object(ARRAY(i6[10], a17545data[10])), i1609[10], i1519[10])≥INC22472(java.lang.Object(ARRAY(i6[10], a17545data[10])), i1609[10], i1519[10])∧(UIncreasing(INC22472(java.lang.Object(ARRAY(i6[10], a17545data[10])), i1609[10], i1519[10])), ≥))



    We simplified constraint (66) using rule (IV) which results in the following new constraint:

    (67)    (JMP22323'(java.lang.Object(ARRAY(i6[10], a17545data[10])), i1609[10], i1519[10])≥NonInfC∧JMP22323'(java.lang.Object(ARRAY(i6[10], a17545data[10])), i1609[10], i1519[10])≥INC22472(java.lang.Object(ARRAY(i6[10], a17545data[10])), i1609[10], i1519[10])∧(UIncreasing(INC22472(java.lang.Object(ARRAY(i6[10], a17545data[10])), i1609[10], i1519[10])), ≥))



    We simplified constraint (67) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (68)    ((UIncreasing(INC22472(java.lang.Object(ARRAY(i6[10], a17545data[10])), i1609[10], i1519[10])), ≥)∧[(-1)bso_55] ≥ 0)



    We simplified constraint (68) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (69)    ((UIncreasing(INC22472(java.lang.Object(ARRAY(i6[10], a17545data[10])), i1609[10], i1519[10])), ≥)∧[(-1)bso_55] ≥ 0)



    We simplified constraint (69) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (70)    ((UIncreasing(INC22472(java.lang.Object(ARRAY(i6[10], a17545data[10])), i1609[10], i1519[10])), ≥)∧[(-1)bso_55] ≥ 0)



    We simplified constraint (70) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (71)    ((UIncreasing(INC22472(java.lang.Object(ARRAY(i6[10], a17545data[10])), i1609[10], i1519[10])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_55] ≥ 0)







For Pair LOAD17214(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519) → LOAD17214ARR4(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1755))) the following chains were created:
  • We consider the chain LOAD17214(java.lang.Object(ARRAY(i6[11], a17545data[11])), i1509[11], i1519[11]) → LOAD17214ARR4(java.lang.Object(ARRAY(i6[11], a17545data[11])), i1509[11], i1519[11], java.lang.Object(java.lang.String(i1755[11]))) which results in the following constraint:

    (72)    (LOAD17214(java.lang.Object(ARRAY(i6[11], a17545data[11])), i1509[11], i1519[11])≥NonInfC∧LOAD17214(java.lang.Object(ARRAY(i6[11], a17545data[11])), i1509[11], i1519[11])≥LOAD17214ARR4(java.lang.Object(ARRAY(i6[11], a17545data[11])), i1509[11], i1519[11], java.lang.Object(java.lang.String(i1755[11])))∧(UIncreasing(LOAD17214ARR4(java.lang.Object(ARRAY(i6[11], a17545data[11])), i1509[11], i1519[11], java.lang.Object(java.lang.String(i1755[11])))), ≥))



    We simplified constraint (72) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (73)    ((UIncreasing(LOAD17214ARR4(java.lang.Object(ARRAY(i6[11], a17545data[11])), i1509[11], i1519[11], java.lang.Object(java.lang.String(i1755[11])))), ≥)∧[(-1)bso_57] ≥ 0)



    We simplified constraint (73) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (74)    ((UIncreasing(LOAD17214ARR4(java.lang.Object(ARRAY(i6[11], a17545data[11])), i1509[11], i1519[11], java.lang.Object(java.lang.String(i1755[11])))), ≥)∧[(-1)bso_57] ≥ 0)



    We simplified constraint (74) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (75)    ((UIncreasing(LOAD17214ARR4(java.lang.Object(ARRAY(i6[11], a17545data[11])), i1509[11], i1519[11], java.lang.Object(java.lang.String(i1755[11])))), ≥)∧[(-1)bso_57] ≥ 0)



    We simplified constraint (75) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (76)    ((UIncreasing(LOAD17214ARR4(java.lang.Object(ARRAY(i6[11], a17545data[11])), i1509[11], i1519[11], java.lang.Object(java.lang.String(i1755[11])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_57] ≥ 0)







For Pair LOAD17214ARR4(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1755))) → COND_LOAD17214ARR4(&&(&&(&&(&&(>(i1755, 0), >(i1509, 0)), <(i1509, i6)), >(i1519, 0)), >(+(i1509, 1), 0)), java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1755))) the following chains were created:
  • We consider the chain LOAD17214ARR4(java.lang.Object(ARRAY(i6[12], a17545data[12])), i1509[12], i1519[12], java.lang.Object(java.lang.String(i1755[12]))) → COND_LOAD17214ARR4(&&(&&(&&(&&(>(i1755[12], 0), >(i1509[12], 0)), <(i1509[12], i6[12])), >(i1519[12], 0)), >(+(i1509[12], 1), 0)), java.lang.Object(ARRAY(i6[12], a17545data[12])), i1509[12], i1519[12], java.lang.Object(java.lang.String(i1755[12]))), COND_LOAD17214ARR4(TRUE, java.lang.Object(ARRAY(i6[13], a17545data[13])), i1509[13], i1519[13], java.lang.Object(java.lang.String(i1755[13]))) → INC22472(java.lang.Object(ARRAY(i6[13], a17545data[13])), +(i1509[13], 1), i1519[13]) which results in the following constraint:

    (77)    (i1755[12]=i1755[13]i6[12]=i6[13]a17545data[12]=a17545data[13]i1519[12]=i1519[13]i1509[12]=i1509[13]&&(&&(&&(&&(>(i1755[12], 0), >(i1509[12], 0)), <(i1509[12], i6[12])), >(i1519[12], 0)), >(+(i1509[12], 1), 0))=TRUELOAD17214ARR4(java.lang.Object(ARRAY(i6[12], a17545data[12])), i1509[12], i1519[12], java.lang.Object(java.lang.String(i1755[12])))≥NonInfC∧LOAD17214ARR4(java.lang.Object(ARRAY(i6[12], a17545data[12])), i1509[12], i1519[12], java.lang.Object(java.lang.String(i1755[12])))≥COND_LOAD17214ARR4(&&(&&(&&(&&(>(i1755[12], 0), >(i1509[12], 0)), <(i1509[12], i6[12])), >(i1519[12], 0)), >(+(i1509[12], 1), 0)), java.lang.Object(ARRAY(i6[12], a17545data[12])), i1509[12], i1519[12], java.lang.Object(java.lang.String(i1755[12])))∧(UIncreasing(COND_LOAD17214ARR4(&&(&&(&&(&&(>(i1755[12], 0), >(i1509[12], 0)), <(i1509[12], i6[12])), >(i1519[12], 0)), >(+(i1509[12], 1), 0)), java.lang.Object(ARRAY(i6[12], a17545data[12])), i1509[12], i1519[12], java.lang.Object(java.lang.String(i1755[12])))), ≥))



    We simplified constraint (77) using rules (IV), (IDP_BOOLEAN) which results in the following new constraint:

    (78)    (>(+(i1509[12], 1), 0)=TRUE>(i1519[12], 0)=TRUE<(i1509[12], i6[12])=TRUE>(i1755[12], 0)=TRUE>(i1509[12], 0)=TRUELOAD17214ARR4(java.lang.Object(ARRAY(i6[12], a17545data[12])), i1509[12], i1519[12], java.lang.Object(java.lang.String(i1755[12])))≥NonInfC∧LOAD17214ARR4(java.lang.Object(ARRAY(i6[12], a17545data[12])), i1509[12], i1519[12], java.lang.Object(java.lang.String(i1755[12])))≥COND_LOAD17214ARR4(&&(&&(&&(&&(>(i1755[12], 0), >(i1509[12], 0)), <(i1509[12], i6[12])), >(i1519[12], 0)), >(+(i1509[12], 1), 0)), java.lang.Object(ARRAY(i6[12], a17545data[12])), i1509[12], i1519[12], java.lang.Object(java.lang.String(i1755[12])))∧(UIncreasing(COND_LOAD17214ARR4(&&(&&(&&(&&(>(i1755[12], 0), >(i1509[12], 0)), <(i1509[12], i6[12])), >(i1519[12], 0)), >(+(i1509[12], 1), 0)), java.lang.Object(ARRAY(i6[12], a17545data[12])), i1509[12], i1519[12], java.lang.Object(java.lang.String(i1755[12])))), ≥))



    We simplified constraint (78) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (79)    (i1509[12] ≥ 0∧i1519[12] + [-1] ≥ 0∧i6[12] + [-1] + [-1]i1509[12] ≥ 0∧i1755[12] + [-1] ≥ 0∧i1509[12] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD17214ARR4(&&(&&(&&(&&(>(i1755[12], 0), >(i1509[12], 0)), <(i1509[12], i6[12])), >(i1519[12], 0)), >(+(i1509[12], 1), 0)), java.lang.Object(ARRAY(i6[12], a17545data[12])), i1509[12], i1519[12], java.lang.Object(java.lang.String(i1755[12])))), ≥)∧[(-3)bni_58 + (-1)Bound*bni_58] + [bni_58]i1519[12] + [(-1)bni_58]i1509[12] + [bni_58]i6[12] ≥ 0∧[(-1)bso_59] ≥ 0)



    We simplified constraint (79) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (80)    (i1509[12] ≥ 0∧i1519[12] + [-1] ≥ 0∧i6[12] + [-1] + [-1]i1509[12] ≥ 0∧i1755[12] + [-1] ≥ 0∧i1509[12] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD17214ARR4(&&(&&(&&(&&(>(i1755[12], 0), >(i1509[12], 0)), <(i1509[12], i6[12])), >(i1519[12], 0)), >(+(i1509[12], 1), 0)), java.lang.Object(ARRAY(i6[12], a17545data[12])), i1509[12], i1519[12], java.lang.Object(java.lang.String(i1755[12])))), ≥)∧[(-3)bni_58 + (-1)Bound*bni_58] + [bni_58]i1519[12] + [(-1)bni_58]i1509[12] + [bni_58]i6[12] ≥ 0∧[(-1)bso_59] ≥ 0)



    We simplified constraint (80) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (81)    (i1509[12] ≥ 0∧i1519[12] + [-1] ≥ 0∧i6[12] + [-1] + [-1]i1509[12] ≥ 0∧i1755[12] + [-1] ≥ 0∧i1509[12] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD17214ARR4(&&(&&(&&(&&(>(i1755[12], 0), >(i1509[12], 0)), <(i1509[12], i6[12])), >(i1519[12], 0)), >(+(i1509[12], 1), 0)), java.lang.Object(ARRAY(i6[12], a17545data[12])), i1509[12], i1519[12], java.lang.Object(java.lang.String(i1755[12])))), ≥)∧[(-3)bni_58 + (-1)Bound*bni_58] + [bni_58]i1519[12] + [(-1)bni_58]i1509[12] + [bni_58]i6[12] ≥ 0∧[(-1)bso_59] ≥ 0)



    We simplified constraint (81) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (82)    (i1509[12] ≥ 0∧i1519[12] + [-1] ≥ 0∧i6[12] + [-1] + [-1]i1509[12] ≥ 0∧i1755[12] + [-1] ≥ 0∧i1509[12] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD17214ARR4(&&(&&(&&(&&(>(i1755[12], 0), >(i1509[12], 0)), <(i1509[12], i6[12])), >(i1519[12], 0)), >(+(i1509[12], 1), 0)), java.lang.Object(ARRAY(i6[12], a17545data[12])), i1509[12], i1519[12], java.lang.Object(java.lang.String(i1755[12])))), ≥)∧0 = 0∧[(-3)bni_58 + (-1)Bound*bni_58] + [bni_58]i1519[12] + [(-1)bni_58]i1509[12] + [bni_58]i6[12] ≥ 0∧0 = 0∧[(-1)bso_59] ≥ 0)



    We simplified constraint (82) using rule (IDP_SMT_SPLIT) which results in the following new constraint:

    (83)    ([1] + i1509[12] ≥ 0∧i1519[12] + [-1] ≥ 0∧i6[12] + [-2] + [-1]i1509[12] ≥ 0∧i1755[12] + [-1] ≥ 0∧i1509[12] ≥ 0 ⇒ (UIncreasing(COND_LOAD17214ARR4(&&(&&(&&(&&(>(i1755[12], 0), >(i1509[12], 0)), <(i1509[12], i6[12])), >(i1519[12], 0)), >(+(i1509[12], 1), 0)), java.lang.Object(ARRAY(i6[12], a17545data[12])), i1509[12], i1519[12], java.lang.Object(java.lang.String(i1755[12])))), ≥)∧0 = 0∧[(-4)bni_58 + (-1)Bound*bni_58] + [bni_58]i1519[12] + [(-1)bni_58]i1509[12] + [bni_58]i6[12] ≥ 0∧0 = 0∧[(-1)bso_59] ≥ 0)



    We simplified constraint (83) using rule (IDP_SMT_SPLIT) which results in the following new constraint:

    (84)    ([1] + i1509[12] ≥ 0∧i1519[12] ≥ 0∧i6[12] + [-2] + [-1]i1509[12] ≥ 0∧i1755[12] + [-1] ≥ 0∧i1509[12] ≥ 0 ⇒ (UIncreasing(COND_LOAD17214ARR4(&&(&&(&&(&&(>(i1755[12], 0), >(i1509[12], 0)), <(i1509[12], i6[12])), >(i1519[12], 0)), >(+(i1509[12], 1), 0)), java.lang.Object(ARRAY(i6[12], a17545data[12])), i1509[12], i1519[12], java.lang.Object(java.lang.String(i1755[12])))), ≥)∧0 = 0∧[(-3)bni_58 + (-1)Bound*bni_58] + [bni_58]i1519[12] + [(-1)bni_58]i1509[12] + [bni_58]i6[12] ≥ 0∧0 = 0∧[(-1)bso_59] ≥ 0)



    We simplified constraint (84) using rule (IDP_SMT_SPLIT) which results in the following new constraint:

    (85)    ([1] + i1509[12] ≥ 0∧i1519[12] ≥ 0∧i6[12] ≥ 0∧i1755[12] + [-1] ≥ 0∧i1509[12] ≥ 0 ⇒ (UIncreasing(COND_LOAD17214ARR4(&&(&&(&&(&&(>(i1755[12], 0), >(i1509[12], 0)), <(i1509[12], i6[12])), >(i1519[12], 0)), >(+(i1509[12], 1), 0)), java.lang.Object(ARRAY(i6[12], a17545data[12])), i1509[12], i1519[12], java.lang.Object(java.lang.String(i1755[12])))), ≥)∧0 = 0∧[(-1)bni_58 + (-1)Bound*bni_58] + [bni_58]i1519[12] + [bni_58]i6[12] ≥ 0∧0 = 0∧[(-1)bso_59] ≥ 0)



    We simplified constraint (85) using rule (IDP_SMT_SPLIT) which results in the following new constraint:

    (86)    ([1] + i1509[12] ≥ 0∧i1519[12] ≥ 0∧i6[12] ≥ 0∧i1755[12] ≥ 0∧i1509[12] ≥ 0 ⇒ (UIncreasing(COND_LOAD17214ARR4(&&(&&(&&(&&(>(i1755[12], 0), >(i1509[12], 0)), <(i1509[12], i6[12])), >(i1519[12], 0)), >(+(i1509[12], 1), 0)), java.lang.Object(ARRAY(i6[12], a17545data[12])), i1509[12], i1519[12], java.lang.Object(java.lang.String(i1755[12])))), ≥)∧0 = 0∧[(-1)bni_58 + (-1)Bound*bni_58] + [bni_58]i1519[12] + [bni_58]i6[12] ≥ 0∧0 = 0∧[(-1)bso_59] ≥ 0)







For Pair COND_LOAD17214ARR4(TRUE, java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1755))) → INC22472(java.lang.Object(ARRAY(i6, a17545data)), +(i1509, 1), i1519) the following chains were created:
  • We consider the chain COND_LOAD17214ARR4(TRUE, java.lang.Object(ARRAY(i6[13], a17545data[13])), i1509[13], i1519[13], java.lang.Object(java.lang.String(i1755[13]))) → INC22472(java.lang.Object(ARRAY(i6[13], a17545data[13])), +(i1509[13], 1), i1519[13]) which results in the following constraint:

    (87)    (COND_LOAD17214ARR4(TRUE, java.lang.Object(ARRAY(i6[13], a17545data[13])), i1509[13], i1519[13], java.lang.Object(java.lang.String(i1755[13])))≥NonInfC∧COND_LOAD17214ARR4(TRUE, java.lang.Object(ARRAY(i6[13], a17545data[13])), i1509[13], i1519[13], java.lang.Object(java.lang.String(i1755[13])))≥INC22472(java.lang.Object(ARRAY(i6[13], a17545data[13])), +(i1509[13], 1), i1519[13])∧(UIncreasing(INC22472(java.lang.Object(ARRAY(i6[13], a17545data[13])), +(i1509[13], 1), i1519[13])), ≥))



    We simplified constraint (87) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (88)    ((UIncreasing(INC22472(java.lang.Object(ARRAY(i6[13], a17545data[13])), +(i1509[13], 1), i1519[13])), ≥)∧[1 + (-1)bso_61] ≥ 0)



    We simplified constraint (88) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (89)    ((UIncreasing(INC22472(java.lang.Object(ARRAY(i6[13], a17545data[13])), +(i1509[13], 1), i1519[13])), ≥)∧[1 + (-1)bso_61] ≥ 0)



    We simplified constraint (89) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (90)    ((UIncreasing(INC22472(java.lang.Object(ARRAY(i6[13], a17545data[13])), +(i1509[13], 1), i1519[13])), ≥)∧[1 + (-1)bso_61] ≥ 0)



    We simplified constraint (90) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (91)    ((UIncreasing(INC22472(java.lang.Object(ARRAY(i6[13], a17545data[13])), +(i1509[13], 1), i1519[13])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_61] ≥ 0)







For Pair LOAD17214(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519) → LOAD17214ARR5(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1756))) the following chains were created:
  • We consider the chain LOAD17214(java.lang.Object(ARRAY(i6[14], a17545data[14])), i1509[14], i1519[14]) → LOAD17214ARR5(java.lang.Object(ARRAY(i6[14], a17545data[14])), i1509[14], i1519[14], java.lang.Object(java.lang.String(i1756[14]))) which results in the following constraint:

    (92)    (LOAD17214(java.lang.Object(ARRAY(i6[14], a17545data[14])), i1509[14], i1519[14])≥NonInfC∧LOAD17214(java.lang.Object(ARRAY(i6[14], a17545data[14])), i1509[14], i1519[14])≥LOAD17214ARR5(java.lang.Object(ARRAY(i6[14], a17545data[14])), i1509[14], i1519[14], java.lang.Object(java.lang.String(i1756[14])))∧(UIncreasing(LOAD17214ARR5(java.lang.Object(ARRAY(i6[14], a17545data[14])), i1509[14], i1519[14], java.lang.Object(java.lang.String(i1756[14])))), ≥))



    We simplified constraint (92) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (93)    ((UIncreasing(LOAD17214ARR5(java.lang.Object(ARRAY(i6[14], a17545data[14])), i1509[14], i1519[14], java.lang.Object(java.lang.String(i1756[14])))), ≥)∧[(-1)bso_63] ≥ 0)



    We simplified constraint (93) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (94)    ((UIncreasing(LOAD17214ARR5(java.lang.Object(ARRAY(i6[14], a17545data[14])), i1509[14], i1519[14], java.lang.Object(java.lang.String(i1756[14])))), ≥)∧[(-1)bso_63] ≥ 0)



    We simplified constraint (94) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (95)    ((UIncreasing(LOAD17214ARR5(java.lang.Object(ARRAY(i6[14], a17545data[14])), i1509[14], i1519[14], java.lang.Object(java.lang.String(i1756[14])))), ≥)∧[(-1)bso_63] ≥ 0)



    We simplified constraint (95) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (96)    ((UIncreasing(LOAD17214ARR5(java.lang.Object(ARRAY(i6[14], a17545data[14])), i1509[14], i1519[14], java.lang.Object(java.lang.String(i1756[14])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_63] ≥ 0)







For Pair LOAD17214ARR5(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1756))) → COND_LOAD17214ARR5(&&(&&(&&(&&(<=(i1756, 0), >(i1509, 0)), <(i1509, i6)), >(i1519, 0)), >(+(i1509, 1), 0)), java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1756))) the following chains were created:
  • We consider the chain LOAD17214ARR5(java.lang.Object(ARRAY(i6[15], a17545data[15])), i1509[15], i1519[15], java.lang.Object(java.lang.String(i1756[15]))) → COND_LOAD17214ARR5(&&(&&(&&(&&(<=(i1756[15], 0), >(i1509[15], 0)), <(i1509[15], i6[15])), >(i1519[15], 0)), >(+(i1509[15], 1), 0)), java.lang.Object(ARRAY(i6[15], a17545data[15])), i1509[15], i1519[15], java.lang.Object(java.lang.String(i1756[15]))), COND_LOAD17214ARR5(TRUE, java.lang.Object(ARRAY(i6[16], a17545data[16])), i1509[16], i1519[16], java.lang.Object(java.lang.String(i1756[16]))) → INC22472(java.lang.Object(ARRAY(i6[16], a17545data[16])), +(i1509[16], 1), i1519[16]) which results in the following constraint:

    (97)    (&&(&&(&&(&&(<=(i1756[15], 0), >(i1509[15], 0)), <(i1509[15], i6[15])), >(i1519[15], 0)), >(+(i1509[15], 1), 0))=TRUEi6[15]=i6[16]a17545data[15]=a17545data[16]i1519[15]=i1519[16]i1756[15]=i1756[16]i1509[15]=i1509[16]LOAD17214ARR5(java.lang.Object(ARRAY(i6[15], a17545data[15])), i1509[15], i1519[15], java.lang.Object(java.lang.String(i1756[15])))≥NonInfC∧LOAD17214ARR5(java.lang.Object(ARRAY(i6[15], a17545data[15])), i1509[15], i1519[15], java.lang.Object(java.lang.String(i1756[15])))≥COND_LOAD17214ARR5(&&(&&(&&(&&(<=(i1756[15], 0), >(i1509[15], 0)), <(i1509[15], i6[15])), >(i1519[15], 0)), >(+(i1509[15], 1), 0)), java.lang.Object(ARRAY(i6[15], a17545data[15])), i1509[15], i1519[15], java.lang.Object(java.lang.String(i1756[15])))∧(UIncreasing(COND_LOAD17214ARR5(&&(&&(&&(&&(<=(i1756[15], 0), >(i1509[15], 0)), <(i1509[15], i6[15])), >(i1519[15], 0)), >(+(i1509[15], 1), 0)), java.lang.Object(ARRAY(i6[15], a17545data[15])), i1509[15], i1519[15], java.lang.Object(java.lang.String(i1756[15])))), ≥))



    We simplified constraint (97) using rules (IV), (IDP_BOOLEAN) which results in the following new constraint:

    (98)    (>(+(i1509[15], 1), 0)=TRUE>(i1519[15], 0)=TRUE<(i1509[15], i6[15])=TRUE<=(i1756[15], 0)=TRUE>(i1509[15], 0)=TRUELOAD17214ARR5(java.lang.Object(ARRAY(i6[15], a17545data[15])), i1509[15], i1519[15], java.lang.Object(java.lang.String(i1756[15])))≥NonInfC∧LOAD17214ARR5(java.lang.Object(ARRAY(i6[15], a17545data[15])), i1509[15], i1519[15], java.lang.Object(java.lang.String(i1756[15])))≥COND_LOAD17214ARR5(&&(&&(&&(&&(<=(i1756[15], 0), >(i1509[15], 0)), <(i1509[15], i6[15])), >(i1519[15], 0)), >(+(i1509[15], 1), 0)), java.lang.Object(ARRAY(i6[15], a17545data[15])), i1509[15], i1519[15], java.lang.Object(java.lang.String(i1756[15])))∧(UIncreasing(COND_LOAD17214ARR5(&&(&&(&&(&&(<=(i1756[15], 0), >(i1509[15], 0)), <(i1509[15], i6[15])), >(i1519[15], 0)), >(+(i1509[15], 1), 0)), java.lang.Object(ARRAY(i6[15], a17545data[15])), i1509[15], i1519[15], java.lang.Object(java.lang.String(i1756[15])))), ≥))



    We simplified constraint (98) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (99)    (i1509[15] ≥ 0∧i1519[15] + [-1] ≥ 0∧i6[15] + [-1] + [-1]i1509[15] ≥ 0∧[-1]i1756[15] ≥ 0∧i1509[15] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD17214ARR5(&&(&&(&&(&&(<=(i1756[15], 0), >(i1509[15], 0)), <(i1509[15], i6[15])), >(i1519[15], 0)), >(+(i1509[15], 1), 0)), java.lang.Object(ARRAY(i6[15], a17545data[15])), i1509[15], i1519[15], java.lang.Object(java.lang.String(i1756[15])))), ≥)∧[(-3)bni_64 + (-1)Bound*bni_64] + [bni_64]i1519[15] + [(-1)bni_64]i1509[15] + [bni_64]i6[15] ≥ 0∧[(-1)bso_65] ≥ 0)



    We simplified constraint (99) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (100)    (i1509[15] ≥ 0∧i1519[15] + [-1] ≥ 0∧i6[15] + [-1] + [-1]i1509[15] ≥ 0∧[-1]i1756[15] ≥ 0∧i1509[15] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD17214ARR5(&&(&&(&&(&&(<=(i1756[15], 0), >(i1509[15], 0)), <(i1509[15], i6[15])), >(i1519[15], 0)), >(+(i1509[15], 1), 0)), java.lang.Object(ARRAY(i6[15], a17545data[15])), i1509[15], i1519[15], java.lang.Object(java.lang.String(i1756[15])))), ≥)∧[(-3)bni_64 + (-1)Bound*bni_64] + [bni_64]i1519[15] + [(-1)bni_64]i1509[15] + [bni_64]i6[15] ≥ 0∧[(-1)bso_65] ≥ 0)



    We simplified constraint (100) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (101)    (i1509[15] ≥ 0∧i1519[15] + [-1] ≥ 0∧i6[15] + [-1] + [-1]i1509[15] ≥ 0∧[-1]i1756[15] ≥ 0∧i1509[15] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD17214ARR5(&&(&&(&&(&&(<=(i1756[15], 0), >(i1509[15], 0)), <(i1509[15], i6[15])), >(i1519[15], 0)), >(+(i1509[15], 1), 0)), java.lang.Object(ARRAY(i6[15], a17545data[15])), i1509[15], i1519[15], java.lang.Object(java.lang.String(i1756[15])))), ≥)∧[(-3)bni_64 + (-1)Bound*bni_64] + [bni_64]i1519[15] + [(-1)bni_64]i1509[15] + [bni_64]i6[15] ≥ 0∧[(-1)bso_65] ≥ 0)



    We simplified constraint (101) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (102)    (i1509[15] ≥ 0∧i1519[15] + [-1] ≥ 0∧i6[15] + [-1] + [-1]i1509[15] ≥ 0∧[-1]i1756[15] ≥ 0∧i1509[15] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD17214ARR5(&&(&&(&&(&&(<=(i1756[15], 0), >(i1509[15], 0)), <(i1509[15], i6[15])), >(i1519[15], 0)), >(+(i1509[15], 1), 0)), java.lang.Object(ARRAY(i6[15], a17545data[15])), i1509[15], i1519[15], java.lang.Object(java.lang.String(i1756[15])))), ≥)∧0 = 0∧[(-3)bni_64 + (-1)Bound*bni_64] + [bni_64]i1519[15] + [(-1)bni_64]i1509[15] + [bni_64]i6[15] ≥ 0∧0 = 0∧[(-1)bso_65] ≥ 0)



    We simplified constraint (102) using rule (IDP_SMT_SPLIT) which results in the following new constraint:

    (103)    ([1] + i1509[15] ≥ 0∧i1519[15] + [-1] ≥ 0∧i6[15] + [-2] + [-1]i1509[15] ≥ 0∧[-1]i1756[15] ≥ 0∧i1509[15] ≥ 0 ⇒ (UIncreasing(COND_LOAD17214ARR5(&&(&&(&&(&&(<=(i1756[15], 0), >(i1509[15], 0)), <(i1509[15], i6[15])), >(i1519[15], 0)), >(+(i1509[15], 1), 0)), java.lang.Object(ARRAY(i6[15], a17545data[15])), i1509[15], i1519[15], java.lang.Object(java.lang.String(i1756[15])))), ≥)∧0 = 0∧[(-4)bni_64 + (-1)Bound*bni_64] + [bni_64]i1519[15] + [(-1)bni_64]i1509[15] + [bni_64]i6[15] ≥ 0∧0 = 0∧[(-1)bso_65] ≥ 0)



    We simplified constraint (103) using rule (IDP_SMT_SPLIT) which results in the following new constraint:

    (104)    ([1] + i1509[15] ≥ 0∧i1519[15] ≥ 0∧i6[15] + [-2] + [-1]i1509[15] ≥ 0∧[-1]i1756[15] ≥ 0∧i1509[15] ≥ 0 ⇒ (UIncreasing(COND_LOAD17214ARR5(&&(&&(&&(&&(<=(i1756[15], 0), >(i1509[15], 0)), <(i1509[15], i6[15])), >(i1519[15], 0)), >(+(i1509[15], 1), 0)), java.lang.Object(ARRAY(i6[15], a17545data[15])), i1509[15], i1519[15], java.lang.Object(java.lang.String(i1756[15])))), ≥)∧0 = 0∧[(-3)bni_64 + (-1)Bound*bni_64] + [bni_64]i1519[15] + [(-1)bni_64]i1509[15] + [bni_64]i6[15] ≥ 0∧0 = 0∧[(-1)bso_65] ≥ 0)



    We simplified constraint (104) using rule (IDP_SMT_SPLIT) which results in the following new constraint:

    (105)    ([1] + i1509[15] ≥ 0∧i1519[15] ≥ 0∧i6[15] ≥ 0∧[-1]i1756[15] ≥ 0∧i1509[15] ≥ 0 ⇒ (UIncreasing(COND_LOAD17214ARR5(&&(&&(&&(&&(<=(i1756[15], 0), >(i1509[15], 0)), <(i1509[15], i6[15])), >(i1519[15], 0)), >(+(i1509[15], 1), 0)), java.lang.Object(ARRAY(i6[15], a17545data[15])), i1509[15], i1519[15], java.lang.Object(java.lang.String(i1756[15])))), ≥)∧0 = 0∧[(-1)bni_64 + (-1)Bound*bni_64] + [bni_64]i1519[15] + [bni_64]i6[15] ≥ 0∧0 = 0∧[(-1)bso_65] ≥ 0)



    We simplified constraint (105) using rule (IDP_SMT_SPLIT) which results in the following new constraint:

    (106)    ([1] + i1509[15] ≥ 0∧i1519[15] ≥ 0∧i6[15] ≥ 0∧i1756[15] ≥ 0∧i1509[15] ≥ 0 ⇒ (UIncreasing(COND_LOAD17214ARR5(&&(&&(&&(&&(<=(i1756[15], 0), >(i1509[15], 0)), <(i1509[15], i6[15])), >(i1519[15], 0)), >(+(i1509[15], 1), 0)), java.lang.Object(ARRAY(i6[15], a17545data[15])), i1509[15], i1519[15], java.lang.Object(java.lang.String(i1756[15])))), ≥)∧0 = 0∧[(-1)bni_64 + (-1)Bound*bni_64] + [bni_64]i1519[15] + [bni_64]i6[15] ≥ 0∧0 = 0∧[(-1)bso_65] ≥ 0)







For Pair COND_LOAD17214ARR5(TRUE, java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1756))) → INC22472(java.lang.Object(ARRAY(i6, a17545data)), +(i1509, 1), i1519) the following chains were created:
  • We consider the chain COND_LOAD17214ARR5(TRUE, java.lang.Object(ARRAY(i6[16], a17545data[16])), i1509[16], i1519[16], java.lang.Object(java.lang.String(i1756[16]))) → INC22472(java.lang.Object(ARRAY(i6[16], a17545data[16])), +(i1509[16], 1), i1519[16]) which results in the following constraint:

    (107)    (COND_LOAD17214ARR5(TRUE, java.lang.Object(ARRAY(i6[16], a17545data[16])), i1509[16], i1519[16], java.lang.Object(java.lang.String(i1756[16])))≥NonInfC∧COND_LOAD17214ARR5(TRUE, java.lang.Object(ARRAY(i6[16], a17545data[16])), i1509[16], i1519[16], java.lang.Object(java.lang.String(i1756[16])))≥INC22472(java.lang.Object(ARRAY(i6[16], a17545data[16])), +(i1509[16], 1), i1519[16])∧(UIncreasing(INC22472(java.lang.Object(ARRAY(i6[16], a17545data[16])), +(i1509[16], 1), i1519[16])), ≥))



    We simplified constraint (107) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (108)    ((UIncreasing(INC22472(java.lang.Object(ARRAY(i6[16], a17545data[16])), +(i1509[16], 1), i1519[16])), ≥)∧[1 + (-1)bso_67] ≥ 0)



    We simplified constraint (108) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (109)    ((UIncreasing(INC22472(java.lang.Object(ARRAY(i6[16], a17545data[16])), +(i1509[16], 1), i1519[16])), ≥)∧[1 + (-1)bso_67] ≥ 0)



    We simplified constraint (109) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (110)    ((UIncreasing(INC22472(java.lang.Object(ARRAY(i6[16], a17545data[16])), +(i1509[16], 1), i1519[16])), ≥)∧[1 + (-1)bso_67] ≥ 0)



    We simplified constraint (110) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (111)    ((UIncreasing(INC22472(java.lang.Object(ARRAY(i6[16], a17545data[16])), +(i1509[16], 1), i1519[16])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_67] ≥ 0)







For Pair LOAD17214(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519) → LOAD17214ARR8(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1756))) the following chains were created:
  • We consider the chain LOAD17214(java.lang.Object(ARRAY(i6[17], a17545data[17])), i1509[17], i1519[17]) → LOAD17214ARR8(java.lang.Object(ARRAY(i6[17], a17545data[17])), i1509[17], i1519[17], java.lang.Object(java.lang.String(i1756[17]))) which results in the following constraint:

    (112)    (LOAD17214(java.lang.Object(ARRAY(i6[17], a17545data[17])), i1509[17], i1519[17])≥NonInfC∧LOAD17214(java.lang.Object(ARRAY(i6[17], a17545data[17])), i1509[17], i1519[17])≥LOAD17214ARR8(java.lang.Object(ARRAY(i6[17], a17545data[17])), i1509[17], i1519[17], java.lang.Object(java.lang.String(i1756[17])))∧(UIncreasing(LOAD17214ARR8(java.lang.Object(ARRAY(i6[17], a17545data[17])), i1509[17], i1519[17], java.lang.Object(java.lang.String(i1756[17])))), ≥))



    We simplified constraint (112) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (113)    ((UIncreasing(LOAD17214ARR8(java.lang.Object(ARRAY(i6[17], a17545data[17])), i1509[17], i1519[17], java.lang.Object(java.lang.String(i1756[17])))), ≥)∧[(-1)bso_69] ≥ 0)



    We simplified constraint (113) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (114)    ((UIncreasing(LOAD17214ARR8(java.lang.Object(ARRAY(i6[17], a17545data[17])), i1509[17], i1519[17], java.lang.Object(java.lang.String(i1756[17])))), ≥)∧[(-1)bso_69] ≥ 0)



    We simplified constraint (114) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (115)    ((UIncreasing(LOAD17214ARR8(java.lang.Object(ARRAY(i6[17], a17545data[17])), i1509[17], i1519[17], java.lang.Object(java.lang.String(i1756[17])))), ≥)∧[(-1)bso_69] ≥ 0)



    We simplified constraint (115) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (116)    ((UIncreasing(LOAD17214ARR8(java.lang.Object(ARRAY(i6[17], a17545data[17])), i1509[17], i1519[17], java.lang.Object(java.lang.String(i1756[17])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_69] ≥ 0)







For Pair LOAD17214ARR8(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1756))) → COND_LOAD17214ARR8(&&(&&(&&(&&(<=(i1756, 0), >(i1509, 0)), <(i1509, i6)), >(i1519, 0)), >(+(i1509, 1), 0)), java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1756))) the following chains were created:
  • We consider the chain LOAD17214ARR8(java.lang.Object(ARRAY(i6[18], a17545data[18])), i1509[18], i1519[18], java.lang.Object(java.lang.String(i1756[18]))) → COND_LOAD17214ARR8(&&(&&(&&(&&(<=(i1756[18], 0), >(i1509[18], 0)), <(i1509[18], i6[18])), >(i1519[18], 0)), >(+(i1509[18], 1), 0)), java.lang.Object(ARRAY(i6[18], a17545data[18])), i1509[18], i1519[18], java.lang.Object(java.lang.String(i1756[18]))), COND_LOAD17214ARR8(TRUE, java.lang.Object(ARRAY(i6[19], a17545data[19])), i1509[19], i1519[19], java.lang.Object(java.lang.String(i1756[19]))) → JMP22323'(java.lang.Object(ARRAY(i6[19], a17545data[19])), +(i1509[19], 1), i1519[19]) which results in the following constraint:

    (117)    (i6[18]=i6[19]a17545data[18]=a17545data[19]i1509[18]=i1509[19]i1519[18]=i1519[19]&&(&&(&&(&&(<=(i1756[18], 0), >(i1509[18], 0)), <(i1509[18], i6[18])), >(i1519[18], 0)), >(+(i1509[18], 1), 0))=TRUEi1756[18]=i1756[19]LOAD17214ARR8(java.lang.Object(ARRAY(i6[18], a17545data[18])), i1509[18], i1519[18], java.lang.Object(java.lang.String(i1756[18])))≥NonInfC∧LOAD17214ARR8(java.lang.Object(ARRAY(i6[18], a17545data[18])), i1509[18], i1519[18], java.lang.Object(java.lang.String(i1756[18])))≥COND_LOAD17214ARR8(&&(&&(&&(&&(<=(i1756[18], 0), >(i1509[18], 0)), <(i1509[18], i6[18])), >(i1519[18], 0)), >(+(i1509[18], 1), 0)), java.lang.Object(ARRAY(i6[18], a17545data[18])), i1509[18], i1519[18], java.lang.Object(java.lang.String(i1756[18])))∧(UIncreasing(COND_LOAD17214ARR8(&&(&&(&&(&&(<=(i1756[18], 0), >(i1509[18], 0)), <(i1509[18], i6[18])), >(i1519[18], 0)), >(+(i1509[18], 1), 0)), java.lang.Object(ARRAY(i6[18], a17545data[18])), i1509[18], i1519[18], java.lang.Object(java.lang.String(i1756[18])))), ≥))



    We simplified constraint (117) using rules (IV), (IDP_BOOLEAN) which results in the following new constraint:

    (118)    (>(+(i1509[18], 1), 0)=TRUE>(i1519[18], 0)=TRUE<(i1509[18], i6[18])=TRUE<=(i1756[18], 0)=TRUE>(i1509[18], 0)=TRUELOAD17214ARR8(java.lang.Object(ARRAY(i6[18], a17545data[18])), i1509[18], i1519[18], java.lang.Object(java.lang.String(i1756[18])))≥NonInfC∧LOAD17214ARR8(java.lang.Object(ARRAY(i6[18], a17545data[18])), i1509[18], i1519[18], java.lang.Object(java.lang.String(i1756[18])))≥COND_LOAD17214ARR8(&&(&&(&&(&&(<=(i1756[18], 0), >(i1509[18], 0)), <(i1509[18], i6[18])), >(i1519[18], 0)), >(+(i1509[18], 1), 0)), java.lang.Object(ARRAY(i6[18], a17545data[18])), i1509[18], i1519[18], java.lang.Object(java.lang.String(i1756[18])))∧(UIncreasing(COND_LOAD17214ARR8(&&(&&(&&(&&(<=(i1756[18], 0), >(i1509[18], 0)), <(i1509[18], i6[18])), >(i1519[18], 0)), >(+(i1509[18], 1), 0)), java.lang.Object(ARRAY(i6[18], a17545data[18])), i1509[18], i1519[18], java.lang.Object(java.lang.String(i1756[18])))), ≥))



    We simplified constraint (118) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (119)    (i1509[18] ≥ 0∧i1519[18] + [-1] ≥ 0∧i6[18] + [-1] + [-1]i1509[18] ≥ 0∧[-1]i1756[18] ≥ 0∧i1509[18] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD17214ARR8(&&(&&(&&(&&(<=(i1756[18], 0), >(i1509[18], 0)), <(i1509[18], i6[18])), >(i1519[18], 0)), >(+(i1509[18], 1), 0)), java.lang.Object(ARRAY(i6[18], a17545data[18])), i1509[18], i1519[18], java.lang.Object(java.lang.String(i1756[18])))), ≥)∧[(-3)bni_70 + (-1)Bound*bni_70] + [bni_70]i1519[18] + [(-1)bni_70]i1509[18] + [bni_70]i6[18] ≥ 0∧[(-1)bso_71] ≥ 0)



    We simplified constraint (119) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (120)    (i1509[18] ≥ 0∧i1519[18] + [-1] ≥ 0∧i6[18] + [-1] + [-1]i1509[18] ≥ 0∧[-1]i1756[18] ≥ 0∧i1509[18] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD17214ARR8(&&(&&(&&(&&(<=(i1756[18], 0), >(i1509[18], 0)), <(i1509[18], i6[18])), >(i1519[18], 0)), >(+(i1509[18], 1), 0)), java.lang.Object(ARRAY(i6[18], a17545data[18])), i1509[18], i1519[18], java.lang.Object(java.lang.String(i1756[18])))), ≥)∧[(-3)bni_70 + (-1)Bound*bni_70] + [bni_70]i1519[18] + [(-1)bni_70]i1509[18] + [bni_70]i6[18] ≥ 0∧[(-1)bso_71] ≥ 0)



    We simplified constraint (120) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (121)    (i1509[18] ≥ 0∧i1519[18] + [-1] ≥ 0∧i6[18] + [-1] + [-1]i1509[18] ≥ 0∧[-1]i1756[18] ≥ 0∧i1509[18] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD17214ARR8(&&(&&(&&(&&(<=(i1756[18], 0), >(i1509[18], 0)), <(i1509[18], i6[18])), >(i1519[18], 0)), >(+(i1509[18], 1), 0)), java.lang.Object(ARRAY(i6[18], a17545data[18])), i1509[18], i1519[18], java.lang.Object(java.lang.String(i1756[18])))), ≥)∧[(-3)bni_70 + (-1)Bound*bni_70] + [bni_70]i1519[18] + [(-1)bni_70]i1509[18] + [bni_70]i6[18] ≥ 0∧[(-1)bso_71] ≥ 0)



    We simplified constraint (121) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (122)    (i1509[18] ≥ 0∧i1519[18] + [-1] ≥ 0∧i6[18] + [-1] + [-1]i1509[18] ≥ 0∧[-1]i1756[18] ≥ 0∧i1509[18] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD17214ARR8(&&(&&(&&(&&(<=(i1756[18], 0), >(i1509[18], 0)), <(i1509[18], i6[18])), >(i1519[18], 0)), >(+(i1509[18], 1), 0)), java.lang.Object(ARRAY(i6[18], a17545data[18])), i1509[18], i1519[18], java.lang.Object(java.lang.String(i1756[18])))), ≥)∧0 = 0∧[(-3)bni_70 + (-1)Bound*bni_70] + [bni_70]i1519[18] + [(-1)bni_70]i1509[18] + [bni_70]i6[18] ≥ 0∧0 = 0∧[(-1)bso_71] ≥ 0)



    We simplified constraint (122) using rule (IDP_SMT_SPLIT) which results in the following new constraint:

    (123)    ([1] + i1509[18] ≥ 0∧i1519[18] + [-1] ≥ 0∧i6[18] + [-2] + [-1]i1509[18] ≥ 0∧[-1]i1756[18] ≥ 0∧i1509[18] ≥ 0 ⇒ (UIncreasing(COND_LOAD17214ARR8(&&(&&(&&(&&(<=(i1756[18], 0), >(i1509[18], 0)), <(i1509[18], i6[18])), >(i1519[18], 0)), >(+(i1509[18], 1), 0)), java.lang.Object(ARRAY(i6[18], a17545data[18])), i1509[18], i1519[18], java.lang.Object(java.lang.String(i1756[18])))), ≥)∧0 = 0∧[(-4)bni_70 + (-1)Bound*bni_70] + [bni_70]i1519[18] + [(-1)bni_70]i1509[18] + [bni_70]i6[18] ≥ 0∧0 = 0∧[(-1)bso_71] ≥ 0)



    We simplified constraint (123) using rule (IDP_SMT_SPLIT) which results in the following new constraint:

    (124)    ([1] + i1509[18] ≥ 0∧i1519[18] ≥ 0∧i6[18] + [-2] + [-1]i1509[18] ≥ 0∧[-1]i1756[18] ≥ 0∧i1509[18] ≥ 0 ⇒ (UIncreasing(COND_LOAD17214ARR8(&&(&&(&&(&&(<=(i1756[18], 0), >(i1509[18], 0)), <(i1509[18], i6[18])), >(i1519[18], 0)), >(+(i1509[18], 1), 0)), java.lang.Object(ARRAY(i6[18], a17545data[18])), i1509[18], i1519[18], java.lang.Object(java.lang.String(i1756[18])))), ≥)∧0 = 0∧[(-3)bni_70 + (-1)Bound*bni_70] + [bni_70]i1519[18] + [(-1)bni_70]i1509[18] + [bni_70]i6[18] ≥ 0∧0 = 0∧[(-1)bso_71] ≥ 0)



    We simplified constraint (124) using rule (IDP_SMT_SPLIT) which results in the following new constraint:

    (125)    ([1] + i1509[18] ≥ 0∧i1519[18] ≥ 0∧i6[18] ≥ 0∧[-1]i1756[18] ≥ 0∧i1509[18] ≥ 0 ⇒ (UIncreasing(COND_LOAD17214ARR8(&&(&&(&&(&&(<=(i1756[18], 0), >(i1509[18], 0)), <(i1509[18], i6[18])), >(i1519[18], 0)), >(+(i1509[18], 1), 0)), java.lang.Object(ARRAY(i6[18], a17545data[18])), i1509[18], i1519[18], java.lang.Object(java.lang.String(i1756[18])))), ≥)∧0 = 0∧[(-1)bni_70 + (-1)Bound*bni_70] + [bni_70]i1519[18] + [bni_70]i6[18] ≥ 0∧0 = 0∧[(-1)bso_71] ≥ 0)



    We simplified constraint (125) using rule (IDP_SMT_SPLIT) which results in the following new constraint:

    (126)    ([1] + i1509[18] ≥ 0∧i1519[18] ≥ 0∧i6[18] ≥ 0∧i1756[18] ≥ 0∧i1509[18] ≥ 0 ⇒ (UIncreasing(COND_LOAD17214ARR8(&&(&&(&&(&&(<=(i1756[18], 0), >(i1509[18], 0)), <(i1509[18], i6[18])), >(i1519[18], 0)), >(+(i1509[18], 1), 0)), java.lang.Object(ARRAY(i6[18], a17545data[18])), i1509[18], i1519[18], java.lang.Object(java.lang.String(i1756[18])))), ≥)∧0 = 0∧[(-1)bni_70 + (-1)Bound*bni_70] + [bni_70]i1519[18] + [bni_70]i6[18] ≥ 0∧0 = 0∧[(-1)bso_71] ≥ 0)







For Pair COND_LOAD17214ARR8(TRUE, java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1756))) → JMP22323'(java.lang.Object(ARRAY(i6, a17545data)), +(i1509, 1), i1519) the following chains were created:
  • We consider the chain COND_LOAD17214ARR8(TRUE, java.lang.Object(ARRAY(i6[19], a17545data[19])), i1509[19], i1519[19], java.lang.Object(java.lang.String(i1756[19]))) → JMP22323'(java.lang.Object(ARRAY(i6[19], a17545data[19])), +(i1509[19], 1), i1519[19]) which results in the following constraint:

    (127)    (COND_LOAD17214ARR8(TRUE, java.lang.Object(ARRAY(i6[19], a17545data[19])), i1509[19], i1519[19], java.lang.Object(java.lang.String(i1756[19])))≥NonInfC∧COND_LOAD17214ARR8(TRUE, java.lang.Object(ARRAY(i6[19], a17545data[19])), i1509[19], i1519[19], java.lang.Object(java.lang.String(i1756[19])))≥JMP22323'(java.lang.Object(ARRAY(i6[19], a17545data[19])), +(i1509[19], 1), i1519[19])∧(UIncreasing(JMP22323'(java.lang.Object(ARRAY(i6[19], a17545data[19])), +(i1509[19], 1), i1519[19])), ≥))



    We simplified constraint (127) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (128)    ((UIncreasing(JMP22323'(java.lang.Object(ARRAY(i6[19], a17545data[19])), +(i1509[19], 1), i1519[19])), ≥)∧[1 + (-1)bso_73] ≥ 0)



    We simplified constraint (128) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (129)    ((UIncreasing(JMP22323'(java.lang.Object(ARRAY(i6[19], a17545data[19])), +(i1509[19], 1), i1519[19])), ≥)∧[1 + (-1)bso_73] ≥ 0)



    We simplified constraint (129) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (130)    ((UIncreasing(JMP22323'(java.lang.Object(ARRAY(i6[19], a17545data[19])), +(i1509[19], 1), i1519[19])), ≥)∧[1 + (-1)bso_73] ≥ 0)



    We simplified constraint (130) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (131)    ((UIncreasing(JMP22323'(java.lang.Object(ARRAY(i6[19], a17545data[19])), +(i1509[19], 1), i1519[19])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_73] ≥ 0)







To summarize, we get the following constraints P for the following pairs.
  • LOAD17214(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519) → LOAD17214ARR1(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1755)))
    • ((UIncreasing(LOAD17214ARR1(java.lang.Object(ARRAY(i6[0], a17545data[0])), i1509[0], i1519[0], java.lang.Object(java.lang.String(i1755[0])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_35] ≥ 0)

  • LOAD17214ARR1(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1755))) → COND_LOAD17214ARR1(&&(&&(&&(&&(>(i1755, 0), >(i1509, 0)), <(i1509, i6)), >(i1519, 0)), >(+(i1509, 1), 0)), java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1755)))
    • ([1] + i1509[1] ≥ 0∧i1519[1] ≥ 0∧i6[1] ≥ 0∧i1755[1] ≥ 0∧i1509[1] ≥ 0 ⇒ (UIncreasing(COND_LOAD17214ARR1(&&(&&(&&(&&(>(i1755[1], 0), >(i1509[1], 0)), <(i1509[1], i6[1])), >(i1519[1], 0)), >(+(i1509[1], 1), 0)), java.lang.Object(ARRAY(i6[1], a17545data[1])), i1509[1], i1519[1], java.lang.Object(java.lang.String(i1755[1])))), ≥)∧0 = 0∧[(-1)Bound*bni_36 + (-1)bni_36] + [bni_36]i1519[1] + [bni_36]i6[1] ≥ 0∧0 = 0∧[(-1)bso_37] ≥ 0)

  • COND_LOAD17214ARR1(TRUE, java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1755))) → JMP22323'(java.lang.Object(ARRAY(i6, a17545data)), +(i1509, 1), i1519)
    • ((UIncreasing(JMP22323'(java.lang.Object(ARRAY(i6[2], a17545data[2])), +(i1509[2], 1), i1519[2])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_39] ≥ 0)

  • INC22472(java.lang.Object(ARRAY(i6, a17545data)), i1609, i1519) → LOAD17214(java.lang.Object(ARRAY(i6, a17545data)), i1609, +(i1519, -1))
    • ((UIncreasing(LOAD17214(java.lang.Object(ARRAY(i6[3], a17545data[3])), i1609[3], +(i1519[3], -1))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_41] ≥ 0)

  • LOAD17214(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519) → LOAD17214ARR2(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1756)))
    • ((UIncreasing(LOAD17214ARR2(java.lang.Object(ARRAY(i6[4], a17545data[4])), i1509[4], i1519[4], java.lang.Object(java.lang.String(i1756[4])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_43] ≥ 0)

  • LOAD17214ARR2(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1756))) → COND_LOAD17214ARR2(&&(&&(&&(&&(<=(i1756, 0), >(i1509, 0)), <(i1509, i6)), >(i1519, 0)), >(+(i1509, 1), 0)), java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1756)))
    • ([1] + i1509[5] ≥ 0∧i1519[5] ≥ 0∧i6[5] ≥ 0∧i1756[5] ≥ 0∧i1509[5] ≥ 0 ⇒ (UIncreasing(COND_LOAD17214ARR2(&&(&&(&&(&&(<=(i1756[5], 0), >(i1509[5], 0)), <(i1509[5], i6[5])), >(i1519[5], 0)), >(+(i1509[5], 1), 0)), java.lang.Object(ARRAY(i6[5], a17545data[5])), i1509[5], i1519[5], java.lang.Object(java.lang.String(i1756[5])))), ≥)∧0 = 0∧[(-1)Bound*bni_44 + (-1)bni_44] + [bni_44]i1519[5] + [bni_44]i6[5] ≥ 0∧0 = 0∧[(-1)bso_45] ≥ 0)

  • COND_LOAD17214ARR2(TRUE, java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1756))) → LOAD17214(java.lang.Object(ARRAY(i6, a17545data)), +(i1509, 1), +(i1519, -1))
    • ((UIncreasing(LOAD17214(java.lang.Object(ARRAY(i6[6], a17545data[6])), +(i1509[6], 1), +(i1519[6], -1))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[2 + (-1)bso_47] ≥ 0)

  • LOAD17214(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519) → LOAD17214ARR3(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1755)))
    • ((UIncreasing(LOAD17214ARR3(java.lang.Object(ARRAY(i6[7], a17545data[7])), i1509[7], i1519[7], java.lang.Object(java.lang.String(i1755[7])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_49] ≥ 0)

  • LOAD17214ARR3(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1755))) → COND_LOAD17214ARR3(&&(&&(&&(&&(>(i1755, 0), >(i1509, 0)), <(i1509, i6)), >(i1519, 0)), >(+(i1509, 1), 0)), java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1755)))
    • ([1] + i1509[8] ≥ 0∧i1519[8] ≥ 0∧i6[8] ≥ 0∧i1755[8] ≥ 0∧i1509[8] ≥ 0 ⇒ (UIncreasing(COND_LOAD17214ARR3(&&(&&(&&(&&(>(i1755[8], 0), >(i1509[8], 0)), <(i1509[8], i6[8])), >(i1519[8], 0)), >(+(i1509[8], 1), 0)), java.lang.Object(ARRAY(i6[8], a17545data[8])), i1509[8], i1519[8], java.lang.Object(java.lang.String(i1755[8])))), ≥)∧0 = 0∧[(-1)Bound*bni_50 + (-1)bni_50] + [bni_50]i1519[8] + [bni_50]i6[8] ≥ 0∧0 = 0∧[(-1)bso_51] ≥ 0)

  • COND_LOAD17214ARR3(TRUE, java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1755))) → LOAD17214(java.lang.Object(ARRAY(i6, a17545data)), +(i1509, 1), +(i1519, -1))
    • ((UIncreasing(LOAD17214(java.lang.Object(ARRAY(i6[9], a17545data[9])), +(i1509[9], 1), +(i1519[9], -1))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[2 + (-1)bso_53] ≥ 0)

  • JMP22323'(java.lang.Object(ARRAY(i6, a17545data)), i1609, i1519) → INC22472(java.lang.Object(ARRAY(i6, a17545data)), i1609, i1519)
    • ((UIncreasing(INC22472(java.lang.Object(ARRAY(i6[10], a17545data[10])), i1609[10], i1519[10])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_55] ≥ 0)

  • LOAD17214(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519) → LOAD17214ARR4(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1755)))
    • ((UIncreasing(LOAD17214ARR4(java.lang.Object(ARRAY(i6[11], a17545data[11])), i1509[11], i1519[11], java.lang.Object(java.lang.String(i1755[11])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_57] ≥ 0)

  • LOAD17214ARR4(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1755))) → COND_LOAD17214ARR4(&&(&&(&&(&&(>(i1755, 0), >(i1509, 0)), <(i1509, i6)), >(i1519, 0)), >(+(i1509, 1), 0)), java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1755)))
    • ([1] + i1509[12] ≥ 0∧i1519[12] ≥ 0∧i6[12] ≥ 0∧i1755[12] ≥ 0∧i1509[12] ≥ 0 ⇒ (UIncreasing(COND_LOAD17214ARR4(&&(&&(&&(&&(>(i1755[12], 0), >(i1509[12], 0)), <(i1509[12], i6[12])), >(i1519[12], 0)), >(+(i1509[12], 1), 0)), java.lang.Object(ARRAY(i6[12], a17545data[12])), i1509[12], i1519[12], java.lang.Object(java.lang.String(i1755[12])))), ≥)∧0 = 0∧[(-1)bni_58 + (-1)Bound*bni_58] + [bni_58]i1519[12] + [bni_58]i6[12] ≥ 0∧0 = 0∧[(-1)bso_59] ≥ 0)

  • COND_LOAD17214ARR4(TRUE, java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1755))) → INC22472(java.lang.Object(ARRAY(i6, a17545data)), +(i1509, 1), i1519)
    • ((UIncreasing(INC22472(java.lang.Object(ARRAY(i6[13], a17545data[13])), +(i1509[13], 1), i1519[13])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_61] ≥ 0)

  • LOAD17214(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519) → LOAD17214ARR5(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1756)))
    • ((UIncreasing(LOAD17214ARR5(java.lang.Object(ARRAY(i6[14], a17545data[14])), i1509[14], i1519[14], java.lang.Object(java.lang.String(i1756[14])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_63] ≥ 0)

  • LOAD17214ARR5(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1756))) → COND_LOAD17214ARR5(&&(&&(&&(&&(<=(i1756, 0), >(i1509, 0)), <(i1509, i6)), >(i1519, 0)), >(+(i1509, 1), 0)), java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1756)))
    • ([1] + i1509[15] ≥ 0∧i1519[15] ≥ 0∧i6[15] ≥ 0∧i1756[15] ≥ 0∧i1509[15] ≥ 0 ⇒ (UIncreasing(COND_LOAD17214ARR5(&&(&&(&&(&&(<=(i1756[15], 0), >(i1509[15], 0)), <(i1509[15], i6[15])), >(i1519[15], 0)), >(+(i1509[15], 1), 0)), java.lang.Object(ARRAY(i6[15], a17545data[15])), i1509[15], i1519[15], java.lang.Object(java.lang.String(i1756[15])))), ≥)∧0 = 0∧[(-1)bni_64 + (-1)Bound*bni_64] + [bni_64]i1519[15] + [bni_64]i6[15] ≥ 0∧0 = 0∧[(-1)bso_65] ≥ 0)

  • COND_LOAD17214ARR5(TRUE, java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1756))) → INC22472(java.lang.Object(ARRAY(i6, a17545data)), +(i1509, 1), i1519)
    • ((UIncreasing(INC22472(java.lang.Object(ARRAY(i6[16], a17545data[16])), +(i1509[16], 1), i1519[16])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_67] ≥ 0)

  • LOAD17214(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519) → LOAD17214ARR8(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1756)))
    • ((UIncreasing(LOAD17214ARR8(java.lang.Object(ARRAY(i6[17], a17545data[17])), i1509[17], i1519[17], java.lang.Object(java.lang.String(i1756[17])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_69] ≥ 0)

  • LOAD17214ARR8(java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1756))) → COND_LOAD17214ARR8(&&(&&(&&(&&(<=(i1756, 0), >(i1509, 0)), <(i1509, i6)), >(i1519, 0)), >(+(i1509, 1), 0)), java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1756)))
    • ([1] + i1509[18] ≥ 0∧i1519[18] ≥ 0∧i6[18] ≥ 0∧i1756[18] ≥ 0∧i1509[18] ≥ 0 ⇒ (UIncreasing(COND_LOAD17214ARR8(&&(&&(&&(&&(<=(i1756[18], 0), >(i1509[18], 0)), <(i1509[18], i6[18])), >(i1519[18], 0)), >(+(i1509[18], 1), 0)), java.lang.Object(ARRAY(i6[18], a17545data[18])), i1509[18], i1519[18], java.lang.Object(java.lang.String(i1756[18])))), ≥)∧0 = 0∧[(-1)bni_70 + (-1)Bound*bni_70] + [bni_70]i1519[18] + [bni_70]i6[18] ≥ 0∧0 = 0∧[(-1)bso_71] ≥ 0)

  • COND_LOAD17214ARR8(TRUE, java.lang.Object(ARRAY(i6, a17545data)), i1509, i1519, java.lang.Object(java.lang.String(i1756))) → JMP22323'(java.lang.Object(ARRAY(i6, a17545data)), +(i1509, 1), i1519)
    • ((UIncreasing(JMP22323'(java.lang.Object(ARRAY(i6[19], a17545data[19])), +(i1509[19], 1), i1519[19])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_73] ≥ 0)




The constraints for P> respective Pbound are constructed from P where we just replace every occurence of "t ≥ s" in P by "t > s" respective "t ≥ c". Here c stands for the fresh constant used for Pbound.
Using the following integer polynomial ordering the resulting constraints can be solved
Polynomial interpretation over integers[POLO]:

POL(TRUE) = 0   
POL(FALSE) = 0   
POL(LOAD17214(x1, x2, x3)) = [-1] + x3 + [-1]x1 + [-1]x2   
POL(java.lang.Object(x1)) = x1   
POL(ARRAY(x1, x2)) = [2] + [-1]x1   
POL(LOAD17214ARR1(x1, x2, x3, x4)) = [-1] + x3 + [-1]x1 + [-1]x2   
POL(java.lang.String(x1)) = x1   
POL(COND_LOAD17214ARR1(x1, x2, x3, x4, x5)) = [-1] + x4 + [-1]x2 + [-1]x3   
POL(&&(x1, x2)) = [-1]   
POL(>(x1, x2)) = [-1]   
POL(0) = 0   
POL(<(x1, x2)) = [-1]   
POL(+(x1, x2)) = x1 + x2   
POL(1) = [1]   
POL(JMP22323'(x1, x2, x3)) = [-1] + [-1]x2 + x3 + [-1]x1   
POL(INC22472(x1, x2, x3)) = [-1] + [-1]x1 + x3 + [-1]x2   
POL(-1) = [-1]   
POL(LOAD17214ARR2(x1, x2, x3, x4)) = [-1] + x3 + [-1]x1 + [-1]x2   
POL(COND_LOAD17214ARR2(x1, x2, x3, x4, x5)) = [-1] + x4 + [-1]x2 + [-1]x3   
POL(<=(x1, x2)) = [-1]   
POL(LOAD17214ARR3(x1, x2, x3, x4)) = [-1] + x3 + [-1]x1 + [-1]x2   
POL(COND_LOAD17214ARR3(x1, x2, x3, x4, x5)) = [-1] + x4 + [-1]x2 + [-1]x3   
POL(LOAD17214ARR4(x1, x2, x3, x4)) = [-1] + x3 + [-1]x2 + [-1]x1   
POL(COND_LOAD17214ARR4(x1, x2, x3, x4, x5)) = [-1] + x4 + [-1]x3 + [-1]x2   
POL(LOAD17214ARR5(x1, x2, x3, x4)) = [-1] + x3 + [-1]x2 + [-1]x1   
POL(COND_LOAD17214ARR5(x1, x2, x3, x4, x5)) = [-1] + x4 + [-1]x3 + [-1]x2   
POL(LOAD17214ARR8(x1, x2, x3, x4)) = [-1] + x3 + [-1]x2 + [-1]x1   
POL(COND_LOAD17214ARR8(x1, x2, x3, x4, x5)) = [-1] + x4 + [-1]x3 + [-1]x2   

The following pairs are in P>:

COND_LOAD17214ARR1(TRUE, java.lang.Object(ARRAY(i6[2], a17545data[2])), i1509[2], i1519[2], java.lang.Object(java.lang.String(i1755[2]))) → JMP22323'(java.lang.Object(ARRAY(i6[2], a17545data[2])), +(i1509[2], 1), i1519[2])
INC22472(java.lang.Object(ARRAY(i6[3], a17545data[3])), i1609[3], i1519[3]) → LOAD17214(java.lang.Object(ARRAY(i6[3], a17545data[3])), i1609[3], +(i1519[3], -1))
COND_LOAD17214ARR2(TRUE, java.lang.Object(ARRAY(i6[6], a17545data[6])), i1509[6], i1519[6], java.lang.Object(java.lang.String(i1756[6]))) → LOAD17214(java.lang.Object(ARRAY(i6[6], a17545data[6])), +(i1509[6], 1), +(i1519[6], -1))
COND_LOAD17214ARR3(TRUE, java.lang.Object(ARRAY(i6[9], a17545data[9])), i1509[9], i1519[9], java.lang.Object(java.lang.String(i1755[9]))) → LOAD17214(java.lang.Object(ARRAY(i6[9], a17545data[9])), +(i1509[9], 1), +(i1519[9], -1))
COND_LOAD17214ARR4(TRUE, java.lang.Object(ARRAY(i6[13], a17545data[13])), i1509[13], i1519[13], java.lang.Object(java.lang.String(i1755[13]))) → INC22472(java.lang.Object(ARRAY(i6[13], a17545data[13])), +(i1509[13], 1), i1519[13])
COND_LOAD17214ARR5(TRUE, java.lang.Object(ARRAY(i6[16], a17545data[16])), i1509[16], i1519[16], java.lang.Object(java.lang.String(i1756[16]))) → INC22472(java.lang.Object(ARRAY(i6[16], a17545data[16])), +(i1509[16], 1), i1519[16])
COND_LOAD17214ARR8(TRUE, java.lang.Object(ARRAY(i6[19], a17545data[19])), i1509[19], i1519[19], java.lang.Object(java.lang.String(i1756[19]))) → JMP22323'(java.lang.Object(ARRAY(i6[19], a17545data[19])), +(i1509[19], 1), i1519[19])

The following pairs are in Pbound:

LOAD17214ARR1(java.lang.Object(ARRAY(i6[1], a17545data[1])), i1509[1], i1519[1], java.lang.Object(java.lang.String(i1755[1]))) → COND_LOAD17214ARR1(&&(&&(&&(&&(>(i1755[1], 0), >(i1509[1], 0)), <(i1509[1], i6[1])), >(i1519[1], 0)), >(+(i1509[1], 1), 0)), java.lang.Object(ARRAY(i6[1], a17545data[1])), i1509[1], i1519[1], java.lang.Object(java.lang.String(i1755[1])))
LOAD17214ARR2(java.lang.Object(ARRAY(i6[5], a17545data[5])), i1509[5], i1519[5], java.lang.Object(java.lang.String(i1756[5]))) → COND_LOAD17214ARR2(&&(&&(&&(&&(<=(i1756[5], 0), >(i1509[5], 0)), <(i1509[5], i6[5])), >(i1519[5], 0)), >(+(i1509[5], 1), 0)), java.lang.Object(ARRAY(i6[5], a17545data[5])), i1509[5], i1519[5], java.lang.Object(java.lang.String(i1756[5])))
LOAD17214ARR3(java.lang.Object(ARRAY(i6[8], a17545data[8])), i1509[8], i1519[8], java.lang.Object(java.lang.String(i1755[8]))) → COND_LOAD17214ARR3(&&(&&(&&(&&(>(i1755[8], 0), >(i1509[8], 0)), <(i1509[8], i6[8])), >(i1519[8], 0)), >(+(i1509[8], 1), 0)), java.lang.Object(ARRAY(i6[8], a17545data[8])), i1509[8], i1519[8], java.lang.Object(java.lang.String(i1755[8])))
LOAD17214ARR4(java.lang.Object(ARRAY(i6[12], a17545data[12])), i1509[12], i1519[12], java.lang.Object(java.lang.String(i1755[12]))) → COND_LOAD17214ARR4(&&(&&(&&(&&(>(i1755[12], 0), >(i1509[12], 0)), <(i1509[12], i6[12])), >(i1519[12], 0)), >(+(i1509[12], 1), 0)), java.lang.Object(ARRAY(i6[12], a17545data[12])), i1509[12], i1519[12], java.lang.Object(java.lang.String(i1755[12])))
LOAD17214ARR5(java.lang.Object(ARRAY(i6[15], a17545data[15])), i1509[15], i1519[15], java.lang.Object(java.lang.String(i1756[15]))) → COND_LOAD17214ARR5(&&(&&(&&(&&(<=(i1756[15], 0), >(i1509[15], 0)), <(i1509[15], i6[15])), >(i1519[15], 0)), >(+(i1509[15], 1), 0)), java.lang.Object(ARRAY(i6[15], a17545data[15])), i1509[15], i1519[15], java.lang.Object(java.lang.String(i1756[15])))
LOAD17214ARR8(java.lang.Object(ARRAY(i6[18], a17545data[18])), i1509[18], i1519[18], java.lang.Object(java.lang.String(i1756[18]))) → COND_LOAD17214ARR8(&&(&&(&&(&&(<=(i1756[18], 0), >(i1509[18], 0)), <(i1509[18], i6[18])), >(i1519[18], 0)), >(+(i1509[18], 1), 0)), java.lang.Object(ARRAY(i6[18], a17545data[18])), i1509[18], i1519[18], java.lang.Object(java.lang.String(i1756[18])))

The following pairs are in P:

LOAD17214(java.lang.Object(ARRAY(i6[0], a17545data[0])), i1509[0], i1519[0]) → LOAD17214ARR1(java.lang.Object(ARRAY(i6[0], a17545data[0])), i1509[0], i1519[0], java.lang.Object(java.lang.String(i1755[0])))
LOAD17214ARR1(java.lang.Object(ARRAY(i6[1], a17545data[1])), i1509[1], i1519[1], java.lang.Object(java.lang.String(i1755[1]))) → COND_LOAD17214ARR1(&&(&&(&&(&&(>(i1755[1], 0), >(i1509[1], 0)), <(i1509[1], i6[1])), >(i1519[1], 0)), >(+(i1509[1], 1), 0)), java.lang.Object(ARRAY(i6[1], a17545data[1])), i1509[1], i1519[1], java.lang.Object(java.lang.String(i1755[1])))
LOAD17214(java.lang.Object(ARRAY(i6[4], a17545data[4])), i1509[4], i1519[4]) → LOAD17214ARR2(java.lang.Object(ARRAY(i6[4], a17545data[4])), i1509[4], i1519[4], java.lang.Object(java.lang.String(i1756[4])))
LOAD17214ARR2(java.lang.Object(ARRAY(i6[5], a17545data[5])), i1509[5], i1519[5], java.lang.Object(java.lang.String(i1756[5]))) → COND_LOAD17214ARR2(&&(&&(&&(&&(<=(i1756[5], 0), >(i1509[5], 0)), <(i1509[5], i6[5])), >(i1519[5], 0)), >(+(i1509[5], 1), 0)), java.lang.Object(ARRAY(i6[5], a17545data[5])), i1509[5], i1519[5], java.lang.Object(java.lang.String(i1756[5])))
LOAD17214(java.lang.Object(ARRAY(i6[7], a17545data[7])), i1509[7], i1519[7]) → LOAD17214ARR3(java.lang.Object(ARRAY(i6[7], a17545data[7])), i1509[7], i1519[7], java.lang.Object(java.lang.String(i1755[7])))
LOAD17214ARR3(java.lang.Object(ARRAY(i6[8], a17545data[8])), i1509[8], i1519[8], java.lang.Object(java.lang.String(i1755[8]))) → COND_LOAD17214ARR3(&&(&&(&&(&&(>(i1755[8], 0), >(i1509[8], 0)), <(i1509[8], i6[8])), >(i1519[8], 0)), >(+(i1509[8], 1), 0)), java.lang.Object(ARRAY(i6[8], a17545data[8])), i1509[8], i1519[8], java.lang.Object(java.lang.String(i1755[8])))
JMP22323'(java.lang.Object(ARRAY(i6[10], a17545data[10])), i1609[10], i1519[10]) → INC22472(java.lang.Object(ARRAY(i6[10], a17545data[10])), i1609[10], i1519[10])
LOAD17214(java.lang.Object(ARRAY(i6[11], a17545data[11])), i1509[11], i1519[11]) → LOAD17214ARR4(java.lang.Object(ARRAY(i6[11], a17545data[11])), i1509[11], i1519[11], java.lang.Object(java.lang.String(i1755[11])))
LOAD17214ARR4(java.lang.Object(ARRAY(i6[12], a17545data[12])), i1509[12], i1519[12], java.lang.Object(java.lang.String(i1755[12]))) → COND_LOAD17214ARR4(&&(&&(&&(&&(>(i1755[12], 0), >(i1509[12], 0)), <(i1509[12], i6[12])), >(i1519[12], 0)), >(+(i1509[12], 1), 0)), java.lang.Object(ARRAY(i6[12], a17545data[12])), i1509[12], i1519[12], java.lang.Object(java.lang.String(i1755[12])))
LOAD17214(java.lang.Object(ARRAY(i6[14], a17545data[14])), i1509[14], i1519[14]) → LOAD17214ARR5(java.lang.Object(ARRAY(i6[14], a17545data[14])), i1509[14], i1519[14], java.lang.Object(java.lang.String(i1756[14])))
LOAD17214ARR5(java.lang.Object(ARRAY(i6[15], a17545data[15])), i1509[15], i1519[15], java.lang.Object(java.lang.String(i1756[15]))) → COND_LOAD17214ARR5(&&(&&(&&(&&(<=(i1756[15], 0), >(i1509[15], 0)), <(i1509[15], i6[15])), >(i1519[15], 0)), >(+(i1509[15], 1), 0)), java.lang.Object(ARRAY(i6[15], a17545data[15])), i1509[15], i1519[15], java.lang.Object(java.lang.String(i1756[15])))
LOAD17214(java.lang.Object(ARRAY(i6[17], a17545data[17])), i1509[17], i1519[17]) → LOAD17214ARR8(java.lang.Object(ARRAY(i6[17], a17545data[17])), i1509[17], i1519[17], java.lang.Object(java.lang.String(i1756[17])))
LOAD17214ARR8(java.lang.Object(ARRAY(i6[18], a17545data[18])), i1509[18], i1519[18], java.lang.Object(java.lang.String(i1756[18]))) → COND_LOAD17214ARR8(&&(&&(&&(&&(<=(i1756[18], 0), >(i1509[18], 0)), <(i1509[18], i6[18])), >(i1519[18], 0)), >(+(i1509[18], 1), 0)), java.lang.Object(ARRAY(i6[18], a17545data[18])), i1509[18], i1519[18], java.lang.Object(java.lang.String(i1756[18])))

There are no usable rules.

(32) Complex Obligation (AND)

(33) Obligation:

IDP problem:
The following function symbols are pre-defined:
!=~Neq: (Integer, Integer) -> Boolean
*~Mul: (Integer, Integer) -> Integer
>=~Ge: (Integer, Integer) -> Boolean
-1~UnaryMinus: (Integer) -> Integer
|~Bwor: (Integer, Integer) -> Integer
/~Div: (Integer, Integer) -> Integer
=~Eq: (Integer, Integer) -> Boolean
~Bwxor: (Integer, Integer) -> Integer
||~Lor: (Boolean, Boolean) -> Boolean
!~Lnot: (Boolean) -> Boolean
<~Lt: (Integer, Integer) -> Boolean
-~Sub: (Integer, Integer) -> Integer
<=~Le: (Integer, Integer) -> Boolean
>~Gt: (Integer, Integer) -> Boolean
~~Bwnot: (Integer) -> Integer
%~Mod: (Integer, Integer) -> Integer
&~Bwand: (Integer, Integer) -> Integer
+~Add: (Integer, Integer) -> Integer
&&~Land: (Boolean, Boolean) -> Boolean


The following domains are used:

Boolean, Integer


R is empty.

The integer pair graph contains the following rules and edges:
(0): LOAD17214(java.lang.Object(ARRAY(i6[0], a17545data[0])), i1509[0], i1519[0]) → LOAD17214ARR1(java.lang.Object(ARRAY(i6[0], a17545data[0])), i1509[0], i1519[0], java.lang.Object(java.lang.String(i1755[0])))
(1): LOAD17214ARR1(java.lang.Object(ARRAY(i6[1], a17545data[1])), i1509[1], i1519[1], java.lang.Object(java.lang.String(i1755[1]))) → COND_LOAD17214ARR1(i1755[1] > 0 && i1509[1] > 0 && i1509[1] < i6[1] && i1519[1] > 0 && i1509[1] + 1 > 0, java.lang.Object(ARRAY(i6[1], a17545data[1])), i1509[1], i1519[1], java.lang.Object(java.lang.String(i1755[1])))
(4): LOAD17214(java.lang.Object(ARRAY(i6[4], a17545data[4])), i1509[4], i1519[4]) → LOAD17214ARR2(java.lang.Object(ARRAY(i6[4], a17545data[4])), i1509[4], i1519[4], java.lang.Object(java.lang.String(i1756[4])))
(5): LOAD17214ARR2(java.lang.Object(ARRAY(i6[5], a17545data[5])), i1509[5], i1519[5], java.lang.Object(java.lang.String(i1756[5]))) → COND_LOAD17214ARR2(i1756[5] <= 0 && i1509[5] > 0 && i1509[5] < i6[5] && i1519[5] > 0 && i1509[5] + 1 > 0, java.lang.Object(ARRAY(i6[5], a17545data[5])), i1509[5], i1519[5], java.lang.Object(java.lang.String(i1756[5])))
(7): LOAD17214(java.lang.Object(ARRAY(i6[7], a17545data[7])), i1509[7], i1519[7]) → LOAD17214ARR3(java.lang.Object(ARRAY(i6[7], a17545data[7])), i1509[7], i1519[7], java.lang.Object(java.lang.String(i1755[7])))
(8): LOAD17214ARR3(java.lang.Object(ARRAY(i6[8], a17545data[8])), i1509[8], i1519[8], java.lang.Object(java.lang.String(i1755[8]))) → COND_LOAD17214ARR3(i1755[8] > 0 && i1509[8] > 0 && i1509[8] < i6[8] && i1519[8] > 0 && i1509[8] + 1 > 0, java.lang.Object(ARRAY(i6[8], a17545data[8])), i1509[8], i1519[8], java.lang.Object(java.lang.String(i1755[8])))
(10): JMP22323'(java.lang.Object(ARRAY(i6[10], a17545data[10])), i1609[10], i1519[10]) → INC22472(java.lang.Object(ARRAY(i6[10], a17545data[10])), i1609[10], i1519[10])
(11): LOAD17214(java.lang.Object(ARRAY(i6[11], a17545data[11])), i1509[11], i1519[11]) → LOAD17214ARR4(java.lang.Object(ARRAY(i6[11], a17545data[11])), i1509[11], i1519[11], java.lang.Object(java.lang.String(i1755[11])))
(12): LOAD17214ARR4(java.lang.Object(ARRAY(i6[12], a17545data[12])), i1509[12], i1519[12], java.lang.Object(java.lang.String(i1755[12]))) → COND_LOAD17214ARR4(i1755[12] > 0 && i1509[12] > 0 && i1509[12] < i6[12] && i1519[12] > 0 && i1509[12] + 1 > 0, java.lang.Object(ARRAY(i6[12], a17545data[12])), i1509[12], i1519[12], java.lang.Object(java.lang.String(i1755[12])))
(14): LOAD17214(java.lang.Object(ARRAY(i6[14], a17545data[14])), i1509[14], i1519[14]) → LOAD17214ARR5(java.lang.Object(ARRAY(i6[14], a17545data[14])), i1509[14], i1519[14], java.lang.Object(java.lang.String(i1756[14])))
(15): LOAD17214ARR5(java.lang.Object(ARRAY(i6[15], a17545data[15])), i1509[15], i1519[15], java.lang.Object(java.lang.String(i1756[15]))) → COND_LOAD17214ARR5(i1756[15] <= 0 && i1509[15] > 0 && i1509[15] < i6[15] && i1519[15] > 0 && i1509[15] + 1 > 0, java.lang.Object(ARRAY(i6[15], a17545data[15])), i1509[15], i1519[15], java.lang.Object(java.lang.String(i1756[15])))
(17): LOAD17214(java.lang.Object(ARRAY(i6[17], a17545data[17])), i1509[17], i1519[17]) → LOAD17214ARR8(java.lang.Object(ARRAY(i6[17], a17545data[17])), i1509[17], i1519[17], java.lang.Object(java.lang.String(i1756[17])))
(18): LOAD17214ARR8(java.lang.Object(ARRAY(i6[18], a17545data[18])), i1509[18], i1519[18], java.lang.Object(java.lang.String(i1756[18]))) → COND_LOAD17214ARR8(i1756[18] <= 0 && i1509[18] > 0 && i1509[18] < i6[18] && i1519[18] > 0 && i1509[18] + 1 > 0, java.lang.Object(ARRAY(i6[18], a17545data[18])), i1509[18], i1519[18], java.lang.Object(java.lang.String(i1756[18])))

(0) -> (1), if (((i6[0]* i6[1])∧(a17545data[0]* a17545data[1]))∧((i1755[0]* i1755[1]))∧(i1519[0]* i1519[1])∧(i1509[0]* i1509[1]))


(4) -> (5), if (((i1756[4]* i1756[5]))∧(i1509[4]* i1509[5])∧((i6[4]* i6[5])∧(a17545data[4]* a17545data[5]))∧(i1519[4]* i1519[5]))


(7) -> (8), if ((i1519[7]* i1519[8])∧((i1755[7]* i1755[8]))∧(i1509[7]* i1509[8])∧((i6[7]* i6[8])∧(a17545data[7]* a17545data[8])))


(11) -> (12), if (((i6[11]* i6[12])∧(a17545data[11]* a17545data[12]))∧((i1755[11]* i1755[12]))∧(i1519[11]* i1519[12])∧(i1509[11]* i1509[12]))


(14) -> (15), if (((i6[14]* i6[15])∧(a17545data[14]* a17545data[15]))∧((i1756[14]* i1756[15]))∧(i1519[14]* i1519[15])∧(i1509[14]* i1509[15]))


(17) -> (18), if (((i6[17]* i6[18])∧(a17545data[17]* a17545data[18]))∧(i1509[17]* i1509[18])∧((i1756[17]* i1756[18]))∧(i1519[17]* i1519[18]))



The set Q consists of the following terms:
Load17214(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load17214ARR1(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load17214ARR1(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Inc22472(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load17214ARR2(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load17214ARR2(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Load17214ARR3(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load17214ARR3(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
JMP22323(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load17214ARR4(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load17214ARR4(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Load17214ARR5(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load17214ARR5(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Load17214ARR8(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load17214ARR8(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))

(34) IDependencyGraphProof (EQUIVALENT transformation)

The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 0 SCCs with 13 less nodes.

(35) TRUE

(36) Obligation:

IDP problem:
The following function symbols are pre-defined:
!=~Neq: (Integer, Integer) -> Boolean
*~Mul: (Integer, Integer) -> Integer
>=~Ge: (Integer, Integer) -> Boolean
-1~UnaryMinus: (Integer) -> Integer
|~Bwor: (Integer, Integer) -> Integer
/~Div: (Integer, Integer) -> Integer
=~Eq: (Integer, Integer) -> Boolean
~Bwxor: (Integer, Integer) -> Integer
||~Lor: (Boolean, Boolean) -> Boolean
!~Lnot: (Boolean) -> Boolean
<~Lt: (Integer, Integer) -> Boolean
-~Sub: (Integer, Integer) -> Integer
<=~Le: (Integer, Integer) -> Boolean
>~Gt: (Integer, Integer) -> Boolean
~~Bwnot: (Integer) -> Integer
%~Mod: (Integer, Integer) -> Integer
&~Bwand: (Integer, Integer) -> Integer
+~Add: (Integer, Integer) -> Integer
&&~Land: (Boolean, Boolean) -> Boolean


The following domains are used:

Integer


R is empty.

The integer pair graph contains the following rules and edges:
(0): LOAD17214(java.lang.Object(ARRAY(i6[0], a17545data[0])), i1509[0], i1519[0]) → LOAD17214ARR1(java.lang.Object(ARRAY(i6[0], a17545data[0])), i1509[0], i1519[0], java.lang.Object(java.lang.String(i1755[0])))
(2): COND_LOAD17214ARR1(TRUE, java.lang.Object(ARRAY(i6[2], a17545data[2])), i1509[2], i1519[2], java.lang.Object(java.lang.String(i1755[2]))) → JMP22323'(java.lang.Object(ARRAY(i6[2], a17545data[2])), i1509[2] + 1, i1519[2])
(3): INC22472(java.lang.Object(ARRAY(i6[3], a17545data[3])), i1609[3], i1519[3]) → LOAD17214(java.lang.Object(ARRAY(i6[3], a17545data[3])), i1609[3], i1519[3] + -1)
(4): LOAD17214(java.lang.Object(ARRAY(i6[4], a17545data[4])), i1509[4], i1519[4]) → LOAD17214ARR2(java.lang.Object(ARRAY(i6[4], a17545data[4])), i1509[4], i1519[4], java.lang.Object(java.lang.String(i1756[4])))
(6): COND_LOAD17214ARR2(TRUE, java.lang.Object(ARRAY(i6[6], a17545data[6])), i1509[6], i1519[6], java.lang.Object(java.lang.String(i1756[6]))) → LOAD17214(java.lang.Object(ARRAY(i6[6], a17545data[6])), i1509[6] + 1, i1519[6] + -1)
(7): LOAD17214(java.lang.Object(ARRAY(i6[7], a17545data[7])), i1509[7], i1519[7]) → LOAD17214ARR3(java.lang.Object(ARRAY(i6[7], a17545data[7])), i1509[7], i1519[7], java.lang.Object(java.lang.String(i1755[7])))
(9): COND_LOAD17214ARR3(TRUE, java.lang.Object(ARRAY(i6[9], a17545data[9])), i1509[9], i1519[9], java.lang.Object(java.lang.String(i1755[9]))) → LOAD17214(java.lang.Object(ARRAY(i6[9], a17545data[9])), i1509[9] + 1, i1519[9] + -1)
(10): JMP22323'(java.lang.Object(ARRAY(i6[10], a17545data[10])), i1609[10], i1519[10]) → INC22472(java.lang.Object(ARRAY(i6[10], a17545data[10])), i1609[10], i1519[10])
(11): LOAD17214(java.lang.Object(ARRAY(i6[11], a17545data[11])), i1509[11], i1519[11]) → LOAD17214ARR4(java.lang.Object(ARRAY(i6[11], a17545data[11])), i1509[11], i1519[11], java.lang.Object(java.lang.String(i1755[11])))
(13): COND_LOAD17214ARR4(TRUE, java.lang.Object(ARRAY(i6[13], a17545data[13])), i1509[13], i1519[13], java.lang.Object(java.lang.String(i1755[13]))) → INC22472(java.lang.Object(ARRAY(i6[13], a17545data[13])), i1509[13] + 1, i1519[13])
(14): LOAD17214(java.lang.Object(ARRAY(i6[14], a17545data[14])), i1509[14], i1519[14]) → LOAD17214ARR5(java.lang.Object(ARRAY(i6[14], a17545data[14])), i1509[14], i1519[14], java.lang.Object(java.lang.String(i1756[14])))
(16): COND_LOAD17214ARR5(TRUE, java.lang.Object(ARRAY(i6[16], a17545data[16])), i1509[16], i1519[16], java.lang.Object(java.lang.String(i1756[16]))) → INC22472(java.lang.Object(ARRAY(i6[16], a17545data[16])), i1509[16] + 1, i1519[16])
(17): LOAD17214(java.lang.Object(ARRAY(i6[17], a17545data[17])), i1509[17], i1519[17]) → LOAD17214ARR8(java.lang.Object(ARRAY(i6[17], a17545data[17])), i1509[17], i1519[17], java.lang.Object(java.lang.String(i1756[17])))
(19): COND_LOAD17214ARR8(TRUE, java.lang.Object(ARRAY(i6[19], a17545data[19])), i1509[19], i1519[19], java.lang.Object(java.lang.String(i1756[19]))) → JMP22323'(java.lang.Object(ARRAY(i6[19], a17545data[19])), i1509[19] + 1, i1519[19])

(3) -> (0), if ((i1519[3] + -1* i1519[0])∧((i6[3]* i6[0])∧(a17545data[3]* a17545data[0]))∧(i1609[3]* i1509[0]))


(6) -> (0), if ((i1519[6] + -1* i1519[0])∧(i1509[6] + 1* i1509[0])∧((i6[6]* i6[0])∧(a17545data[6]* a17545data[0])))


(9) -> (0), if ((i1519[9] + -1* i1519[0])∧((i6[9]* i6[0])∧(a17545data[9]* a17545data[0]))∧(i1509[9] + 1* i1509[0]))


(10) -> (3), if ((i1519[10]* i1519[3])∧(i1609[10]* i1609[3])∧((i6[10]* i6[3])∧(a17545data[10]* a17545data[3])))


(13) -> (3), if (((i6[13]* i6[3])∧(a17545data[13]* a17545data[3]))∧(i1519[13]* i1519[3])∧(i1509[13] + 1* i1609[3]))


(16) -> (3), if ((i1509[16] + 1* i1609[3])∧((i6[16]* i6[3])∧(a17545data[16]* a17545data[3]))∧(i1519[16]* i1519[3]))


(3) -> (4), if ((i1519[3] + -1* i1519[4])∧((i6[3]* i6[4])∧(a17545data[3]* a17545data[4]))∧(i1609[3]* i1509[4]))


(6) -> (4), if ((i1509[6] + 1* i1509[4])∧((i6[6]* i6[4])∧(a17545data[6]* a17545data[4]))∧(i1519[6] + -1* i1519[4]))


(9) -> (4), if ((i1519[9] + -1* i1519[4])∧(i1509[9] + 1* i1509[4])∧((i6[9]* i6[4])∧(a17545data[9]* a17545data[4])))


(3) -> (7), if ((i1609[3]* i1509[7])∧((i6[3]* i6[7])∧(a17545data[3]* a17545data[7]))∧(i1519[3] + -1* i1519[7]))


(6) -> (7), if (((i6[6]* i6[7])∧(a17545data[6]* a17545data[7]))∧(i1519[6] + -1* i1519[7])∧(i1509[6] + 1* i1509[7]))


(9) -> (7), if ((i1519[9] + -1* i1519[7])∧(i1509[9] + 1* i1509[7])∧((i6[9]* i6[7])∧(a17545data[9]* a17545data[7])))


(2) -> (10), if ((i1519[2]* i1519[10])∧(i1509[2] + 1* i1609[10])∧((i6[2]* i6[10])∧(a17545data[2]* a17545data[10])))


(19) -> (10), if ((i1509[19] + 1* i1609[10])∧((i6[19]* i6[10])∧(a17545data[19]* a17545data[10]))∧(i1519[19]* i1519[10]))


(3) -> (11), if (((i6[3]* i6[11])∧(a17545data[3]* a17545data[11]))∧(i1609[3]* i1509[11])∧(i1519[3] + -1* i1519[11]))


(6) -> (11), if ((i1519[6] + -1* i1519[11])∧(i1509[6] + 1* i1509[11])∧((i6[6]* i6[11])∧(a17545data[6]* a17545data[11])))


(9) -> (11), if ((i1509[9] + 1* i1509[11])∧(i1519[9] + -1* i1519[11])∧((i6[9]* i6[11])∧(a17545data[9]* a17545data[11])))


(3) -> (14), if ((i1609[3]* i1509[14])∧(i1519[3] + -1* i1519[14])∧((i6[3]* i6[14])∧(a17545data[3]* a17545data[14])))


(6) -> (14), if ((i1509[6] + 1* i1509[14])∧((i6[6]* i6[14])∧(a17545data[6]* a17545data[14]))∧(i1519[6] + -1* i1519[14]))


(9) -> (14), if ((i1519[9] + -1* i1519[14])∧(i1509[9] + 1* i1509[14])∧((i6[9]* i6[14])∧(a17545data[9]* a17545data[14])))


(3) -> (17), if ((i1519[3] + -1* i1519[17])∧((i6[3]* i6[17])∧(a17545data[3]* a17545data[17]))∧(i1609[3]* i1509[17]))


(6) -> (17), if ((i1519[6] + -1* i1519[17])∧(i1509[6] + 1* i1509[17])∧((i6[6]* i6[17])∧(a17545data[6]* a17545data[17])))


(9) -> (17), if ((i1519[9] + -1* i1519[17])∧((i6[9]* i6[17])∧(a17545data[9]* a17545data[17]))∧(i1509[9] + 1* i1509[17]))



The set Q consists of the following terms:
Load17214(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load17214ARR1(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load17214ARR1(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Inc22472(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load17214ARR2(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load17214ARR2(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Load17214ARR3(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load17214ARR3(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
JMP22323(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load17214ARR4(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load17214ARR4(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Load17214ARR5(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load17214ARR5(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Load17214ARR8(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load17214ARR8(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))

(37) IDependencyGraphProof (EQUIVALENT transformation)

The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 0 SCCs with 14 less nodes.

(38) TRUE