(0) Obligation:

JBC Problem based on JBC Program:
Manifest-Version: 1.0 Created-By: 1.6.0_16 (Sun Microsystems Inc.) Main-Class: Flatten
public class Flatten {
public static void main(String[] args) {
Random.args = args;
int listLength = Random.random();
TreeList list = null;
for (int i = listLength; i > 0; i--) {
Tree tree = Tree.createTree();
list = new TreeList(tree, list);
}

flatten(list);
}

public static ObjectList flatten(TreeList start) {
ObjectList result = null;
while (start != null) {
Tree tree = start.value;
if (tree != null) {
result = new ObjectList(tree.value, result);
start = start.next;
start = new TreeList(tree.left, start);
start = new TreeList(tree.right, start);
} else {
start = start.next;
}
}
return result;
}
}


public class ObjectList {
Object value;
ObjectList next;

public ObjectList(Object value, ObjectList next) {
this.value = value;
this.next = next;
}

public static ObjectList createList() {
ObjectList result = null;
int length = Random.random();
while (length > 0) {
result = new ObjectList(new Object(), result);
length--;
}
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();
}
}


public class TreeList {
Tree value;
TreeList next;

public TreeList(Tree value, TreeList next) {
this.value = value;
this.next = next;
}
}


(1) JBC2FIG (SOUND transformation)

Constructed FIGraph.

(2) Obligation:

FIGraph based on JBC Program:
Graph of 582 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:
Load5265(java.lang.Object(TreeList(java.lang.Object(Tree(o8601, o8598, o8599)), o7868)), java.lang.Object(TreeList(java.lang.Object(Tree(o8601, o8598, o8599)), o7868))) → New7313(java.lang.Object(TreeList(java.lang.Object(Tree(o8601, o8598, o8599)), o7868)), o7868, java.lang.Object(Tree(o8601, o8598, o8599)))
JMP5735(o7702, o7860) → Load5265(o7702, o7860)
Load5265(o7702, java.lang.Object(TreeList(NULL, o7860))) → Load5265(o7702, o7860)
New7313(o7702, o7860, java.lang.Object(Tree(o8558, o8553, o8556))) → JMP5735(o7702, java.lang.Object(TreeList(o8556, java.lang.Object(TreeList(o8553, o7860)))))
Load5265(o7702, java.lang.Object(TreeList(java.lang.Object(Tree(o8558, o8553, o8556)), o7860))) → JMP5735(o7702, java.lang.Object(TreeList(o8556, java.lang.Object(TreeList(o8553, o7860)))))
Load5265(java.lang.Object(TreeList(NULL, o7868)), java.lang.Object(TreeList(NULL, o7868))) → JMP5735(java.lang.Object(TreeList(NULL, o7868)), o7868)
The set Q consists of the following terms:
JMP5735(x0, x1)
Load5265(x0, java.lang.Object(TreeList(NULL, x1)))
New7313(x0, x1, java.lang.Object(Tree(x2, x3, x4)))
Load5265(x0, java.lang.Object(TreeList(java.lang.Object(Tree(x1, x2, x3)), x4)))

(6) ITRStoQTRSProof (EQUIVALENT transformation)

Represented integers and predefined function symbols by Terms

(7) Obligation:

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

Load5265(java.lang.Object(TreeList(java.lang.Object(Tree(o8601, o8598, o8599)), o7868)), java.lang.Object(TreeList(java.lang.Object(Tree(o8601, o8598, o8599)), o7868))) → New7313(java.lang.Object(TreeList(java.lang.Object(Tree(o8601, o8598, o8599)), o7868)), o7868, java.lang.Object(Tree(o8601, o8598, o8599)))
JMP5735(o7702, o7860) → Load5265(o7702, o7860)
Load5265(o7702, java.lang.Object(TreeList(NULL, o7860))) → Load5265(o7702, o7860)
New7313(o7702, o7860, java.lang.Object(Tree(o8558, o8553, o8556))) → JMP5735(o7702, java.lang.Object(TreeList(o8556, java.lang.Object(TreeList(o8553, o7860)))))
Load5265(o7702, java.lang.Object(TreeList(java.lang.Object(Tree(o8558, o8553, o8556)), o7860))) → JMP5735(o7702, java.lang.Object(TreeList(o8556, java.lang.Object(TreeList(o8553, o7860)))))
Load5265(java.lang.Object(TreeList(NULL, o7868)), java.lang.Object(TreeList(NULL, o7868))) → JMP5735(java.lang.Object(TreeList(NULL, o7868)), o7868)

The set Q consists of the following terms:

JMP5735(x0, x1)
Load5265(x0, java.lang.Object(TreeList(NULL, x1)))
New7313(x0, x1, java.lang.Object(Tree(x2, x3, x4)))
Load5265(x0, java.lang.Object(TreeList(java.lang.Object(Tree(x1, x2, x3)), x4)))

(8) QTRSRRRProof (EQUIVALENT transformation)

Used ordering:
Polynomial interpretation [POLO]:

POL(JMP5735(x1, x2)) = 1 + x1 + x2   
POL(Load5265(x1, x2)) = x1 + x2   
POL(NULL) = 1   
POL(New7313(x1, x2, x3)) = x1 + x2 + x3   
POL(Tree(x1, x2, x3)) = 3 + x1 + x2 + x3   
POL(TreeList(x1, x2)) = x1 + x2   
POL(java.lang.Object(x1)) = 1 + x1   
With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly:

Load5265(java.lang.Object(TreeList(java.lang.Object(Tree(o8601, o8598, o8599)), o7868)), java.lang.Object(TreeList(java.lang.Object(Tree(o8601, o8598, o8599)), o7868))) → New7313(java.lang.Object(TreeList(java.lang.Object(Tree(o8601, o8598, o8599)), o7868)), o7868, java.lang.Object(Tree(o8601, o8598, o8599)))
JMP5735(o7702, o7860) → Load5265(o7702, o7860)
Load5265(o7702, java.lang.Object(TreeList(NULL, o7860))) → Load5265(o7702, o7860)
New7313(o7702, o7860, java.lang.Object(Tree(o8558, o8553, o8556))) → JMP5735(o7702, java.lang.Object(TreeList(o8556, java.lang.Object(TreeList(o8553, o7860)))))
Load5265(o7702, java.lang.Object(TreeList(java.lang.Object(Tree(o8558, o8553, o8556)), o7860))) → JMP5735(o7702, java.lang.Object(TreeList(o8556, java.lang.Object(TreeList(o8553, o7860)))))
Load5265(java.lang.Object(TreeList(NULL, o7868)), java.lang.Object(TreeList(NULL, o7868))) → JMP5735(java.lang.Object(TreeList(NULL, o7868)), o7868)


(9) Obligation:

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

JMP5735(x0, x1)
Load5265(x0, java.lang.Object(TreeList(NULL, x1)))
New7313(x0, x1, java.lang.Object(Tree(x2, x3, x4)))
Load5265(x0, java.lang.Object(TreeList(java.lang.Object(Tree(x1, x2, x3)), x4)))

(10) RisEmptyProof (EQUIVALENT transformation)

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

(11) TRUE

(12) 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:
Load1577(java.lang.Object(ARRAY(i4, a1938data)), i65, i71) → Load1577ARR1(java.lang.Object(ARRAY(i4, a1938data)), i65, i71, java.lang.Object(java.lang.String(0)))
Load1577ARR1(java.lang.Object(ARRAY(i4, a1938data)), i65, i71, java.lang.Object(java.lang.String(0))) → Cond_Load1577ARR1(i65 > 0 && i65 < i4 && i71 > 0 && i65 + 1 > 0, java.lang.Object(ARRAY(i4, a1938data)), i65, i71, java.lang.Object(java.lang.String(0)))
Cond_Load1577ARR1(TRUE, java.lang.Object(ARRAY(i4, a1938data)), i65, i71, java.lang.Object(java.lang.String(0))) → Load1577(java.lang.Object(ARRAY(i4, a1938data)), i65 + 1, i71 + -1)
Load15508(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3105, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(o25591Field0, o25591Field1))) → Cond_Load15508(i3105 <= 0 && i71 > 0, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3105, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(o25591Field0, o25591Field1)))
Cond_Load15508(TRUE, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3105, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(o25591Field0, o25591Field1))) → Load1577(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71 + -1)
Load1577(java.lang.Object(ARRAY(i4, a1938data)), i65, i71) → Load1577ARR2(java.lang.Object(ARRAY(i4, a1938data)), i65, i71, java.lang.Object(java.lang.String(i120)))
Load1577ARR2(java.lang.Object(ARRAY(i4, a1938data)), i65, i71, java.lang.Object(java.lang.String(i120))) → Cond_Load1577ARR2(!(i120 = 0) && i65 > 0 && i65 < i4 && i71 > 0 && i65 + 1 > 0, java.lang.Object(ARRAY(i4, a1938data)), i65, i71, java.lang.Object(java.lang.String(i120)))
Cond_Load1577ARR2(TRUE, java.lang.Object(ARRAY(i4, a1938data)), i65, i71, java.lang.Object(java.lang.String(i120))) → Load15508(java.lang.Object(ARRAY(i4, a1938data)), i65 + 1, i71, i120, java.lang.Object(Tree(NULL, NULL)), java.lang.Object(Tree(NULL, NULL)))
Inc18057(java.lang.Object(ARRAY(i4, a30817data)), i3158, i71, i3104, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(o28810Field0, o28810Field1))) → Load15508(java.lang.Object(ARRAY(i4, a30817data)), i3158, i71, i3104 + -1, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(o28810Field0, o28810Field1)))
Load15508(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(o28325, java.lang.Object(Tree(o28810Field0, o28810Field1))))) → Load15508ARR3(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(o28325, java.lang.Object(Tree(o28810Field0, o28810Field1)))), java.lang.Object(java.lang.String(i3404)))
Load15508ARR3(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(o28325, java.lang.Object(Tree(o28810Field0, o28810Field1)))), java.lang.Object(java.lang.String(i3404))) → Cond_Load15508ARR3(i3404 <= 0 && i3085 > 0 && i3085 < i4 && i3104 > 0 && i3085 + 1 > 0, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(o28325, java.lang.Object(Tree(o28810Field0, o28810Field1)))), java.lang.Object(java.lang.String(i3404)))
Cond_Load15508ARR3(TRUE, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(o28325, java.lang.Object(Tree(o28810Field0, o28810Field1)))), java.lang.Object(java.lang.String(i3404))) → Load15508(java.lang.Object(ARRAY(i4, a30817data)), i3085 + 1, i71, i3104 + -1, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(o28810Field0, o28810Field1)))
Inc20602(java.lang.Object(ARRAY(i4, a30817data)), i3158, i71, i3104, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(o25586, o25587))) → Load15508(java.lang.Object(ARRAY(i4, a30817data)), i3158, i71, i3104 + -1, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(o25586, o25587)))
JMP20418(java.lang.Object(ARRAY(i4, a30817data)), i3158, i71, i3104, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(o25586, o25587))) → Load15508(java.lang.Object(ARRAY(i4, a30817data)), i3158, i71, i3104 + -1, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(o25586, o25587)))
Load15508(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(NULL, o28296))) → Load15508ARR4(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(NULL, o28296)), java.lang.Object(java.lang.String(i3403)))
Load15508ARR4(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o28296)), java.lang.Object(java.lang.String(i3403))) → Cond_Load15508ARR4(i3403 > 0 && i3085 > 0 && i3085 < i4 && i3104 > 0 && i3085 + 1 > 0, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o28296)), java.lang.Object(java.lang.String(i3403)))
Cond_Load15508ARR4(TRUE, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o28296)), java.lang.Object(java.lang.String(i3403))) → Load15508(java.lang.Object(ARRAY(i4, a30817data)), i3085 + 1, i71, i3104 + -1, o25585new, o25585new)
Load15508(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(java.lang.Object(Tree(o28479Field0, o28479Field1)), o25587)), java.lang.Object(Tree(java.lang.Object(Tree(o28479Field0, o28479Field1)), o25587))) → Load15508ARR5(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(java.lang.Object(Tree(o28479Field0, o28479Field1)), o25587)), java.lang.Object(Tree(java.lang.Object(Tree(o28479Field0, o28479Field1)), o25587)), java.lang.Object(java.lang.String(i3403)))
Load15508ARR5(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(java.lang.Object(Tree(o28479Field0, o28479Field1)), o25587)), java.lang.Object(Tree(java.lang.Object(Tree(o28479Field0, o28479Field1)), o25587)), java.lang.Object(java.lang.String(i3403))) → Cond_Load15508ARR5(i3403 > 0 && i3085 > 0 && i3085 < i4 && i3104 > 0 && i3085 + 1 > 0, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(java.lang.Object(Tree(o28479Field0, o28479Field1)), o25587)), java.lang.Object(Tree(java.lang.Object(Tree(o28479Field0, o28479Field1)), o25587)), java.lang.Object(java.lang.String(i3403)))
Cond_Load15508ARR5(TRUE, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(java.lang.Object(Tree(o28479Field0, o28479Field1)), o25587)), java.lang.Object(Tree(java.lang.Object(Tree(o28479Field0, o28479Field1)), o25587)), java.lang.Object(java.lang.String(i3403))) → JMP17958(java.lang.Object(ARRAY(i4, a30817data)), i3085 + 1, i71, i3104, java.lang.Object(Tree(java.lang.Object(Tree(o28479Field0, o28479Field1)), o25587)), java.lang.Object(Tree(o28479Field0, o28479Field1)))
JMP17958(java.lang.Object(ARRAY(i4, a30817data)), i3158, i71, i3104, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(o28735Field0, o28735Field1))) → Inc18057(java.lang.Object(ARRAY(i4, a30817data)), i3158, i71, i3104, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(o28735Field0, o28735Field1)))
Load15508(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(java.lang.Object(Tree(o28735Field0, o28735Field1)), o28296))) → Load15508ARR6(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(java.lang.Object(Tree(o28735Field0, o28735Field1)), o28296)), java.lang.Object(java.lang.String(i3403)))
Load15508ARR6(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(java.lang.Object(Tree(o28735Field0, o28735Field1)), o28296)), java.lang.Object(java.lang.String(i3403))) → Cond_Load15508ARR6(i3403 > 0 && i3085 > 0 && i3085 < i4 && i3104 > 0 && i3085 + 1 > 0, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(java.lang.Object(Tree(o28735Field0, o28735Field1)), o28296)), java.lang.Object(java.lang.String(i3403)))
Cond_Load15508ARR6(TRUE, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(java.lang.Object(Tree(o28735Field0, o28735Field1)), o28296)), java.lang.Object(java.lang.String(i3403))) → Inc18057(java.lang.Object(ARRAY(i4, a30817data)), i3085 + 1, i71, i3104, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(o28735Field0, o28735Field1)))
Load15508(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(o25586, java.lang.Object(Tree(o28620Field0, o28620Field1)))), java.lang.Object(Tree(o25586, java.lang.Object(Tree(o28620Field0, o28620Field1))))) → Load15508ARR7(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(o25586, java.lang.Object(Tree(o28620Field0, o28620Field1)))), java.lang.Object(Tree(o25586, java.lang.Object(Tree(o28620Field0, o28620Field1)))), java.lang.Object(java.lang.String(i3404)))
Load15508ARR7(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(o25586, java.lang.Object(Tree(o28620Field0, o28620Field1)))), java.lang.Object(Tree(o25586, java.lang.Object(Tree(o28620Field0, o28620Field1)))), java.lang.Object(java.lang.String(i3404))) → Cond_Load15508ARR7(i3404 <= 0 && i3085 > 0 && i3085 < i4 && i3104 > 0 && i3085 + 1 > 0, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(o25586, java.lang.Object(Tree(o28620Field0, o28620Field1)))), java.lang.Object(Tree(o25586, java.lang.Object(Tree(o28620Field0, o28620Field1)))), java.lang.Object(java.lang.String(i3404)))
Cond_Load15508ARR7(TRUE, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(o25586, java.lang.Object(Tree(o28620Field0, o28620Field1)))), java.lang.Object(Tree(o25586, java.lang.Object(Tree(o28620Field0, o28620Field1)))), java.lang.Object(java.lang.String(i3404))) → Inc18057(java.lang.Object(ARRAY(i4, a30817data)), i3085 + 1, i71, i3104, java.lang.Object(Tree(o25586, java.lang.Object(Tree(o28620Field0, o28620Field1)))), java.lang.Object(Tree(o28620Field0, o28620Field1)))
JMP20531(java.lang.Object(ARRAY(i4, a30817data)), i3158, i71, i3104, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(o25586, o25587))) → Inc20602(java.lang.Object(ARRAY(i4, a30817data)), i3158, i71, i3104, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(o25586, o25587)))
Load15508(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(o28325, NULL))) → Load15508ARR8(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(o28325, NULL)), java.lang.Object(java.lang.String(i3404)))
Load15508ARR8(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(o28325, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(i3404))) → Cond_Load15508ARR8(i3404 <= 0 && i3085 > 0 && i3085 < i4 && i3104 > 0 && i3085 + 1 > 0, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(o28325, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(i3404)))
Cond_Load15508ARR8(TRUE, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(o28325, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(i3404))) → Inc20602(java.lang.Object(ARRAY(i4, a30817data)), i3085 + 1, i71, i3104, o25585new, o25585new)
Load15508(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(NULL, o25587)), java.lang.Object(Tree(NULL, o25587))) → Load15508ARR9(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(NULL, o25587)), java.lang.Object(Tree(NULL, o25587)), java.lang.Object(java.lang.String(i3403)))
Load15508ARR9(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o25587)), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o25587)), java.lang.Object(java.lang.String(i3403))) → Cond_Load15508ARR9(i3403 > 0 && i3085 > 0 && i3085 < i4 && i3104 > 0 && i3085 + 1 > 0, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o25587)), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o25587)), java.lang.Object(java.lang.String(i3403)))
Cond_Load15508ARR9(TRUE, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o25587)), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o25587)), java.lang.Object(java.lang.String(i3403))) → JMP20418(java.lang.Object(ARRAY(i4, a30817data)), i3085 + 1, i71, i3104, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o25587)), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o25587)))
Load15508(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(o25586, NULL)), java.lang.Object(Tree(o25586, NULL))) → Load15508ARR10(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(o25586, NULL)), java.lang.Object(Tree(o25586, NULL)), java.lang.Object(java.lang.String(i3404)))
Load15508ARR10(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(o25586, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(Tree(o25586, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(i3404))) → Cond_Load15508ARR10(i3404 <= 0 && i3085 > 0 && i3085 < i4 && i3104 > 0 && i3085 + 1 > 0, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(o25586, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(Tree(o25586, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(i3404)))
Cond_Load15508ARR10(TRUE, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(o25586, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(Tree(o25586, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(i3404))) → JMP20531(java.lang.Object(ARRAY(i4, a30817data)), i3085 + 1, i71, i3104, java.lang.Object(Tree(o25586, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(Tree(o25586, java.lang.Object(Tree(NULL, NULL)))))
The set Q consists of the following terms:
Load1577(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load1577ARR1(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(0)))
Cond_Load1577ARR1(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(0)))
Load15508(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(Tree(x5, x6)), java.lang.Object(Tree(x7, x8)))
Cond_Load15508(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(Tree(x5, x6)), java.lang.Object(Tree(x7, x8)))
Load1577ARR2(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load1577ARR2(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Inc18057(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(Tree(x5, x6)), java.lang.Object(Tree(x7, x8)))
Load15508ARR3(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(Tree(x5, x6)), java.lang.Object(Tree(x7, java.lang.Object(Tree(x8, x9)))), java.lang.Object(java.lang.String(x10)))
Cond_Load15508ARR3(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(Tree(x5, x6)), java.lang.Object(Tree(x7, java.lang.Object(Tree(x8, x9)))), java.lang.Object(java.lang.String(x10)))
Inc20602(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(Tree(x5, x6)), java.lang.Object(Tree(x5, x6)))
JMP20418(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(Tree(x5, x6)), java.lang.Object(Tree(x5, x6)))
Load15508ARR4(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(Tree(x5, x6)), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), x7)), java.lang.Object(java.lang.String(x8)))
Cond_Load15508ARR4(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(Tree(x5, x6)), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), x7)), java.lang.Object(java.lang.String(x8)))
Load15508ARR5(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(Tree(java.lang.Object(Tree(x5, x6)), x7)), java.lang.Object(Tree(java.lang.Object(Tree(x5, x6)), x7)), java.lang.Object(java.lang.String(x8)))
Cond_Load15508ARR5(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(Tree(java.lang.Object(Tree(x5, x6)), x7)), java.lang.Object(Tree(java.lang.Object(Tree(x5, x6)), x7)), java.lang.Object(java.lang.String(x8)))
JMP17958(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(Tree(x5, x6)), java.lang.Object(Tree(x7, x8)))
Load15508ARR6(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(Tree(x5, x6)), java.lang.Object(Tree(java.lang.Object(Tree(x7, x8)), x9)), java.lang.Object(java.lang.String(x10)))
Cond_Load15508ARR6(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(Tree(x5, x6)), java.lang.Object(Tree(java.lang.Object(Tree(x7, x8)), x9)), java.lang.Object(java.lang.String(x10)))
Load15508ARR7(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(Tree(x5, java.lang.Object(Tree(x6, x7)))), java.lang.Object(Tree(x5, java.lang.Object(Tree(x6, x7)))), java.lang.Object(java.lang.String(x8)))
Cond_Load15508ARR7(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(Tree(x5, java.lang.Object(Tree(x6, x7)))), java.lang.Object(Tree(x5, java.lang.Object(Tree(x6, x7)))), java.lang.Object(java.lang.String(x8)))
JMP20531(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(Tree(x5, x6)), java.lang.Object(Tree(x5, x6)))
Load15508ARR8(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(Tree(x5, x6)), java.lang.Object(Tree(x7, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(x8)))
Cond_Load15508ARR8(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(Tree(x5, x6)), java.lang.Object(Tree(x7, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(x8)))
Load15508ARR9(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), x5)), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), x5)), java.lang.Object(java.lang.String(x6)))
Cond_Load15508ARR9(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), x5)), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), x5)), java.lang.Object(java.lang.String(x6)))
Load15508ARR10(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(Tree(x5, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(Tree(x5, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(x6)))
Cond_Load15508ARR10(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(Tree(x5, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(Tree(x5, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(x6)))

(13) GroundTermsRemoverProof (EQUIVALENT transformation)

Some arguments are removed because they always contain the same ground term.
We removed the following ground terms:
  • java.lang.Object(java.lang.String(0))

We removed arguments according to the following replacements:

Cond_Load1577ARR1(x1, x2, x3, x4, x5) → Cond_Load1577ARR1(x1, x2, x3, x4)
Load1577ARR1(x1, x2, x3, x4) → Load1577ARR1(x1, x2, x3)

(14) 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:
Load1577(java.lang.Object(ARRAY(i4, a1938data)), i65, i71) → Load1577ARR1(java.lang.Object(ARRAY(i4, a1938data)), i65, i71)
Load1577ARR1(java.lang.Object(ARRAY(i4, a1938data)), i65, i71) → Cond_Load1577ARR1(i65 > 0 && i65 < i4 && i71 > 0 && i65 + 1 > 0, java.lang.Object(ARRAY(i4, a1938data)), i65, i71)
Cond_Load1577ARR1(TRUE, java.lang.Object(ARRAY(i4, a1938data)), i65, i71) → Load1577(java.lang.Object(ARRAY(i4, a1938data)), i65 + 1, i71 + -1)
Load15508(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3105, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(o25591Field0, o25591Field1))) → Cond_Load15508(i3105 <= 0 && i71 > 0, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3105, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(o25591Field0, o25591Field1)))
Cond_Load15508(TRUE, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3105, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(o25591Field0, o25591Field1))) → Load1577(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71 + -1)
Load1577(java.lang.Object(ARRAY(i4, a1938data)), i65, i71) → Load1577ARR2(java.lang.Object(ARRAY(i4, a1938data)), i65, i71, java.lang.Object(java.lang.String(i120)))
Load1577ARR2(java.lang.Object(ARRAY(i4, a1938data)), i65, i71, java.lang.Object(java.lang.String(i120))) → Cond_Load1577ARR2(!(i120 = 0) && i65 > 0 && i65 < i4 && i71 > 0 && i65 + 1 > 0, java.lang.Object(ARRAY(i4, a1938data)), i65, i71, java.lang.Object(java.lang.String(i120)))
Cond_Load1577ARR2(TRUE, java.lang.Object(ARRAY(i4, a1938data)), i65, i71, java.lang.Object(java.lang.String(i120))) → Load15508(java.lang.Object(ARRAY(i4, a1938data)), i65 + 1, i71, i120, java.lang.Object(Tree(NULL, NULL)), java.lang.Object(Tree(NULL, NULL)))
Inc18057(java.lang.Object(ARRAY(i4, a30817data)), i3158, i71, i3104, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(o28810Field0, o28810Field1))) → Load15508(java.lang.Object(ARRAY(i4, a30817data)), i3158, i71, i3104 + -1, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(o28810Field0, o28810Field1)))
Load15508(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(o28325, java.lang.Object(Tree(o28810Field0, o28810Field1))))) → Load15508ARR3(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(o28325, java.lang.Object(Tree(o28810Field0, o28810Field1)))), java.lang.Object(java.lang.String(i3404)))
Load15508ARR3(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(o28325, java.lang.Object(Tree(o28810Field0, o28810Field1)))), java.lang.Object(java.lang.String(i3404))) → Cond_Load15508ARR3(i3404 <= 0 && i3085 > 0 && i3085 < i4 && i3104 > 0 && i3085 + 1 > 0, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(o28325, java.lang.Object(Tree(o28810Field0, o28810Field1)))), java.lang.Object(java.lang.String(i3404)))
Cond_Load15508ARR3(TRUE, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(o28325, java.lang.Object(Tree(o28810Field0, o28810Field1)))), java.lang.Object(java.lang.String(i3404))) → Load15508(java.lang.Object(ARRAY(i4, a30817data)), i3085 + 1, i71, i3104 + -1, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(o28810Field0, o28810Field1)))
Inc20602(java.lang.Object(ARRAY(i4, a30817data)), i3158, i71, i3104, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(o25586, o25587))) → Load15508(java.lang.Object(ARRAY(i4, a30817data)), i3158, i71, i3104 + -1, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(o25586, o25587)))
JMP20418(java.lang.Object(ARRAY(i4, a30817data)), i3158, i71, i3104, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(o25586, o25587))) → Load15508(java.lang.Object(ARRAY(i4, a30817data)), i3158, i71, i3104 + -1, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(o25586, o25587)))
Load15508(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(NULL, o28296))) → Load15508ARR4(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(NULL, o28296)), java.lang.Object(java.lang.String(i3403)))
Load15508ARR4(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o28296)), java.lang.Object(java.lang.String(i3403))) → Cond_Load15508ARR4(i3403 > 0 && i3085 > 0 && i3085 < i4 && i3104 > 0 && i3085 + 1 > 0, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o28296)), java.lang.Object(java.lang.String(i3403)))
Cond_Load15508ARR4(TRUE, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o28296)), java.lang.Object(java.lang.String(i3403))) → Load15508(java.lang.Object(ARRAY(i4, a30817data)), i3085 + 1, i71, i3104 + -1, o25585new, o25585new)
Load15508(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(java.lang.Object(Tree(o28479Field0, o28479Field1)), o25587)), java.lang.Object(Tree(java.lang.Object(Tree(o28479Field0, o28479Field1)), o25587))) → Load15508ARR5(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(java.lang.Object(Tree(o28479Field0, o28479Field1)), o25587)), java.lang.Object(Tree(java.lang.Object(Tree(o28479Field0, o28479Field1)), o25587)), java.lang.Object(java.lang.String(i3403)))
Load15508ARR5(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(java.lang.Object(Tree(o28479Field0, o28479Field1)), o25587)), java.lang.Object(Tree(java.lang.Object(Tree(o28479Field0, o28479Field1)), o25587)), java.lang.Object(java.lang.String(i3403))) → Cond_Load15508ARR5(i3403 > 0 && i3085 > 0 && i3085 < i4 && i3104 > 0 && i3085 + 1 > 0, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(java.lang.Object(Tree(o28479Field0, o28479Field1)), o25587)), java.lang.Object(Tree(java.lang.Object(Tree(o28479Field0, o28479Field1)), o25587)), java.lang.Object(java.lang.String(i3403)))
Cond_Load15508ARR5(TRUE, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(java.lang.Object(Tree(o28479Field0, o28479Field1)), o25587)), java.lang.Object(Tree(java.lang.Object(Tree(o28479Field0, o28479Field1)), o25587)), java.lang.Object(java.lang.String(i3403))) → JMP17958(java.lang.Object(ARRAY(i4, a30817data)), i3085 + 1, i71, i3104, java.lang.Object(Tree(java.lang.Object(Tree(o28479Field0, o28479Field1)), o25587)), java.lang.Object(Tree(o28479Field0, o28479Field1)))
JMP17958(java.lang.Object(ARRAY(i4, a30817data)), i3158, i71, i3104, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(o28735Field0, o28735Field1))) → Inc18057(java.lang.Object(ARRAY(i4, a30817data)), i3158, i71, i3104, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(o28735Field0, o28735Field1)))
Load15508(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(java.lang.Object(Tree(o28735Field0, o28735Field1)), o28296))) → Load15508ARR6(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(java.lang.Object(Tree(o28735Field0, o28735Field1)), o28296)), java.lang.Object(java.lang.String(i3403)))
Load15508ARR6(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(java.lang.Object(Tree(o28735Field0, o28735Field1)), o28296)), java.lang.Object(java.lang.String(i3403))) → Cond_Load15508ARR6(i3403 > 0 && i3085 > 0 && i3085 < i4 && i3104 > 0 && i3085 + 1 > 0, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(java.lang.Object(Tree(o28735Field0, o28735Field1)), o28296)), java.lang.Object(java.lang.String(i3403)))
Cond_Load15508ARR6(TRUE, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(java.lang.Object(Tree(o28735Field0, o28735Field1)), o28296)), java.lang.Object(java.lang.String(i3403))) → Inc18057(java.lang.Object(ARRAY(i4, a30817data)), i3085 + 1, i71, i3104, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(o28735Field0, o28735Field1)))
Load15508(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(o25586, java.lang.Object(Tree(o28620Field0, o28620Field1)))), java.lang.Object(Tree(o25586, java.lang.Object(Tree(o28620Field0, o28620Field1))))) → Load15508ARR7(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(o25586, java.lang.Object(Tree(o28620Field0, o28620Field1)))), java.lang.Object(Tree(o25586, java.lang.Object(Tree(o28620Field0, o28620Field1)))), java.lang.Object(java.lang.String(i3404)))
Load15508ARR7(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(o25586, java.lang.Object(Tree(o28620Field0, o28620Field1)))), java.lang.Object(Tree(o25586, java.lang.Object(Tree(o28620Field0, o28620Field1)))), java.lang.Object(java.lang.String(i3404))) → Cond_Load15508ARR7(i3404 <= 0 && i3085 > 0 && i3085 < i4 && i3104 > 0 && i3085 + 1 > 0, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(o25586, java.lang.Object(Tree(o28620Field0, o28620Field1)))), java.lang.Object(Tree(o25586, java.lang.Object(Tree(o28620Field0, o28620Field1)))), java.lang.Object(java.lang.String(i3404)))
Cond_Load15508ARR7(TRUE, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(o25586, java.lang.Object(Tree(o28620Field0, o28620Field1)))), java.lang.Object(Tree(o25586, java.lang.Object(Tree(o28620Field0, o28620Field1)))), java.lang.Object(java.lang.String(i3404))) → Inc18057(java.lang.Object(ARRAY(i4, a30817data)), i3085 + 1, i71, i3104, java.lang.Object(Tree(o25586, java.lang.Object(Tree(o28620Field0, o28620Field1)))), java.lang.Object(Tree(o28620Field0, o28620Field1)))
JMP20531(java.lang.Object(ARRAY(i4, a30817data)), i3158, i71, i3104, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(o25586, o25587))) → Inc20602(java.lang.Object(ARRAY(i4, a30817data)), i3158, i71, i3104, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(o25586, o25587)))
Load15508(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(o28325, NULL))) → Load15508ARR8(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(o28325, NULL)), java.lang.Object(java.lang.String(i3404)))
Load15508ARR8(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(o28325, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(i3404))) → Cond_Load15508ARR8(i3404 <= 0 && i3085 > 0 && i3085 < i4 && i3104 > 0 && i3085 + 1 > 0, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(o28325, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(i3404)))
Cond_Load15508ARR8(TRUE, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(o28325, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(i3404))) → Inc20602(java.lang.Object(ARRAY(i4, a30817data)), i3085 + 1, i71, i3104, o25585new, o25585new)
Load15508(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(NULL, o25587)), java.lang.Object(Tree(NULL, o25587))) → Load15508ARR9(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(NULL, o25587)), java.lang.Object(Tree(NULL, o25587)), java.lang.Object(java.lang.String(i3403)))
Load15508ARR9(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o25587)), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o25587)), java.lang.Object(java.lang.String(i3403))) → Cond_Load15508ARR9(i3403 > 0 && i3085 > 0 && i3085 < i4 && i3104 > 0 && i3085 + 1 > 0, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o25587)), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o25587)), java.lang.Object(java.lang.String(i3403)))
Cond_Load15508ARR9(TRUE, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o25587)), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o25587)), java.lang.Object(java.lang.String(i3403))) → JMP20418(java.lang.Object(ARRAY(i4, a30817data)), i3085 + 1, i71, i3104, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o25587)), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o25587)))
Load15508(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(o25586, NULL)), java.lang.Object(Tree(o25586, NULL))) → Load15508ARR10(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(o25586, NULL)), java.lang.Object(Tree(o25586, NULL)), java.lang.Object(java.lang.String(i3404)))
Load15508ARR10(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(o25586, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(Tree(o25586, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(i3404))) → Cond_Load15508ARR10(i3404 <= 0 && i3085 > 0 && i3085 < i4 && i3104 > 0 && i3085 + 1 > 0, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(o25586, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(Tree(o25586, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(i3404)))
Cond_Load15508ARR10(TRUE, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(o25586, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(Tree(o25586, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(i3404))) → JMP20531(java.lang.Object(ARRAY(i4, a30817data)), i3085 + 1, i71, i3104, java.lang.Object(Tree(o25586, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(Tree(o25586, java.lang.Object(Tree(NULL, NULL)))))
The set Q consists of the following terms:
Load1577(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load1577ARR1(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Cond_Load1577ARR1(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load15508(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(Tree(x5, x6)), java.lang.Object(Tree(x7, x8)))
Cond_Load15508(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(Tree(x5, x6)), java.lang.Object(Tree(x7, x8)))
Load1577ARR2(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load1577ARR2(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Inc18057(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(Tree(x5, x6)), java.lang.Object(Tree(x7, x8)))
Load15508ARR3(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(Tree(x5, x6)), java.lang.Object(Tree(x7, java.lang.Object(Tree(x8, x9)))), java.lang.Object(java.lang.String(x10)))
Cond_Load15508ARR3(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(Tree(x5, x6)), java.lang.Object(Tree(x7, java.lang.Object(Tree(x8, x9)))), java.lang.Object(java.lang.String(x10)))
Inc20602(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(Tree(x5, x6)), java.lang.Object(Tree(x5, x6)))
JMP20418(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(Tree(x5, x6)), java.lang.Object(Tree(x5, x6)))
Load15508ARR4(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(Tree(x5, x6)), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), x7)), java.lang.Object(java.lang.String(x8)))
Cond_Load15508ARR4(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(Tree(x5, x6)), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), x7)), java.lang.Object(java.lang.String(x8)))
Load15508ARR5(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(Tree(java.lang.Object(Tree(x5, x6)), x7)), java.lang.Object(Tree(java.lang.Object(Tree(x5, x6)), x7)), java.lang.Object(java.lang.String(x8)))
Cond_Load15508ARR5(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(Tree(java.lang.Object(Tree(x5, x6)), x7)), java.lang.Object(Tree(java.lang.Object(Tree(x5, x6)), x7)), java.lang.Object(java.lang.String(x8)))
JMP17958(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(Tree(x5, x6)), java.lang.Object(Tree(x7, x8)))
Load15508ARR6(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(Tree(x5, x6)), java.lang.Object(Tree(java.lang.Object(Tree(x7, x8)), x9)), java.lang.Object(java.lang.String(x10)))
Cond_Load15508ARR6(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(Tree(x5, x6)), java.lang.Object(Tree(java.lang.Object(Tree(x7, x8)), x9)), java.lang.Object(java.lang.String(x10)))
Load15508ARR7(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(Tree(x5, java.lang.Object(Tree(x6, x7)))), java.lang.Object(Tree(x5, java.lang.Object(Tree(x6, x7)))), java.lang.Object(java.lang.String(x8)))
Cond_Load15508ARR7(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(Tree(x5, java.lang.Object(Tree(x6, x7)))), java.lang.Object(Tree(x5, java.lang.Object(Tree(x6, x7)))), java.lang.Object(java.lang.String(x8)))
JMP20531(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(Tree(x5, x6)), java.lang.Object(Tree(x5, x6)))
Load15508ARR8(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(Tree(x5, x6)), java.lang.Object(Tree(x7, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(x8)))
Cond_Load15508ARR8(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(Tree(x5, x6)), java.lang.Object(Tree(x7, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(x8)))
Load15508ARR9(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), x5)), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), x5)), java.lang.Object(java.lang.String(x6)))
Cond_Load15508ARR9(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), x5)), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), x5)), java.lang.Object(java.lang.String(x6)))
Load15508ARR10(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(Tree(x5, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(Tree(x5, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(x6)))
Cond_Load15508ARR10(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(Tree(x5, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(Tree(x5, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(x6)))

(15) DuplicateArgsRemoverProof (EQUIVALENT transformation)

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

JMP20531(x1, x2, x3, x4, x5, x6) → JMP20531(x1, x2, x3, x4, x6)
Cond_Load15508ARR10(x1, x2, x3, x4, x5, x6, x7, x8) → Cond_Load15508ARR10(x1, x2, x3, x4, x5, x7, x8)
Load15508ARR10(x1, x2, x3, x4, x5, x6, x7) → Load15508ARR10(x1, x2, x3, x4, x6, x7)
JMP20418(x1, x2, x3, x4, x5, x6) → JMP20418(x1, x2, x3, x4, x6)
Cond_Load15508ARR9(x1, x2, x3, x4, x5, x6, x7, x8) → Cond_Load15508ARR9(x1, x2, x3, x4, x5, x7, x8)
Load15508ARR9(x1, x2, x3, x4, x5, x6, x7) → Load15508ARR9(x1, x2, x3, x4, x6, x7)
Inc20602(x1, x2, x3, x4, x5, x6) → Inc20602(x1, x2, x3, x4, x6)
Cond_Load15508ARR7(x1, x2, x3, x4, x5, x6, x7, x8) → Cond_Load15508ARR7(x1, x2, x3, x4, x5, x7, x8)
Load15508ARR7(x1, x2, x3, x4, x5, x6, x7) → Load15508ARR7(x1, x2, x3, x4, x6, x7)
Cond_Load15508ARR5(x1, x2, x3, x4, x5, x6, x7, x8) → Cond_Load15508ARR5(x1, x2, x3, x4, x5, x7, x8)
Load15508ARR5(x1, x2, x3, x4, x5, x6, x7) → Load15508ARR5(x1, x2, x3, x4, x6, x7)

(16) 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:
Load1577(java.lang.Object(ARRAY(i4, a1938data)), i65, i71) → Load1577ARR1(java.lang.Object(ARRAY(i4, a1938data)), i65, i71)
Load1577ARR1(java.lang.Object(ARRAY(i4, a1938data)), i65, i71) → Cond_Load1577ARR1(i65 > 0 && i65 < i4 && i71 > 0 && i65 + 1 > 0, java.lang.Object(ARRAY(i4, a1938data)), i65, i71)
Cond_Load1577ARR1(TRUE, java.lang.Object(ARRAY(i4, a1938data)), i65, i71) → Load1577(java.lang.Object(ARRAY(i4, a1938data)), i65 + 1, i71 + -1)
Load15508(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3105, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(o25591Field0, o25591Field1))) → Cond_Load15508(i3105 <= 0 && i71 > 0, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3105, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(o25591Field0, o25591Field1)))
Cond_Load15508(TRUE, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3105, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(o25591Field0, o25591Field1))) → Load1577(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71 + -1)
Load1577(java.lang.Object(ARRAY(i4, a1938data)), i65, i71) → Load1577ARR2(java.lang.Object(ARRAY(i4, a1938data)), i65, i71, java.lang.Object(java.lang.String(i120)))
Load1577ARR2(java.lang.Object(ARRAY(i4, a1938data)), i65, i71, java.lang.Object(java.lang.String(i120))) → Cond_Load1577ARR2(!(i120 = 0) && i65 > 0 && i65 < i4 && i71 > 0 && i65 + 1 > 0, java.lang.Object(ARRAY(i4, a1938data)), i65, i71, java.lang.Object(java.lang.String(i120)))
Cond_Load1577ARR2(TRUE, java.lang.Object(ARRAY(i4, a1938data)), i65, i71, java.lang.Object(java.lang.String(i120))) → Load15508(java.lang.Object(ARRAY(i4, a1938data)), i65 + 1, i71, i120, java.lang.Object(Tree(NULL, NULL)), java.lang.Object(Tree(NULL, NULL)))
Inc18057(java.lang.Object(ARRAY(i4, a30817data)), i3158, i71, i3104, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(o28810Field0, o28810Field1))) → Load15508(java.lang.Object(ARRAY(i4, a30817data)), i3158, i71, i3104 + -1, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(o28810Field0, o28810Field1)))
Load15508(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(o28325, java.lang.Object(Tree(o28810Field0, o28810Field1))))) → Load15508ARR3(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(o28325, java.lang.Object(Tree(o28810Field0, o28810Field1)))), java.lang.Object(java.lang.String(i3404)))
Load15508ARR3(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(o28325, java.lang.Object(Tree(o28810Field0, o28810Field1)))), java.lang.Object(java.lang.String(i3404))) → Cond_Load15508ARR3(i3404 <= 0 && i3085 > 0 && i3085 < i4 && i3104 > 0 && i3085 + 1 > 0, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(o28325, java.lang.Object(Tree(o28810Field0, o28810Field1)))), java.lang.Object(java.lang.String(i3404)))
Cond_Load15508ARR3(TRUE, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(o28325, java.lang.Object(Tree(o28810Field0, o28810Field1)))), java.lang.Object(java.lang.String(i3404))) → Load15508(java.lang.Object(ARRAY(i4, a30817data)), i3085 + 1, i71, i3104 + -1, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(o28810Field0, o28810Field1)))
Inc20602(java.lang.Object(ARRAY(i4, a30817data)), i3158, i71, i3104, java.lang.Object(Tree(o25586, o25587))) → Load15508(java.lang.Object(ARRAY(i4, a30817data)), i3158, i71, i3104 + -1, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(o25586, o25587)))
JMP20418(java.lang.Object(ARRAY(i4, a30817data)), i3158, i71, i3104, java.lang.Object(Tree(o25586, o25587))) → Load15508(java.lang.Object(ARRAY(i4, a30817data)), i3158, i71, i3104 + -1, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(o25586, o25587)))
Load15508(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(NULL, o28296))) → Load15508ARR4(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(NULL, o28296)), java.lang.Object(java.lang.String(i3403)))
Load15508ARR4(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o28296)), java.lang.Object(java.lang.String(i3403))) → Cond_Load15508ARR4(i3403 > 0 && i3085 > 0 && i3085 < i4 && i3104 > 0 && i3085 + 1 > 0, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o28296)), java.lang.Object(java.lang.String(i3403)))
Cond_Load15508ARR4(TRUE, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o28296)), java.lang.Object(java.lang.String(i3403))) → Load15508(java.lang.Object(ARRAY(i4, a30817data)), i3085 + 1, i71, i3104 + -1, o25585new, o25585new)
Load15508(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(java.lang.Object(Tree(o28479Field0, o28479Field1)), o25587)), java.lang.Object(Tree(java.lang.Object(Tree(o28479Field0, o28479Field1)), o25587))) → Load15508ARR5(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(java.lang.Object(Tree(o28479Field0, o28479Field1)), o25587)), java.lang.Object(java.lang.String(i3403)))
Load15508ARR5(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(java.lang.Object(Tree(o28479Field0, o28479Field1)), o25587)), java.lang.Object(java.lang.String(i3403))) → Cond_Load15508ARR5(i3403 > 0 && i3085 > 0 && i3085 < i4 && i3104 > 0 && i3085 + 1 > 0, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(java.lang.Object(Tree(o28479Field0, o28479Field1)), o25587)), java.lang.Object(java.lang.String(i3403)))
Cond_Load15508ARR5(TRUE, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(java.lang.Object(Tree(o28479Field0, o28479Field1)), o25587)), java.lang.Object(java.lang.String(i3403))) → JMP17958(java.lang.Object(ARRAY(i4, a30817data)), i3085 + 1, i71, i3104, java.lang.Object(Tree(java.lang.Object(Tree(o28479Field0, o28479Field1)), o25587)), java.lang.Object(Tree(o28479Field0, o28479Field1)))
JMP17958(java.lang.Object(ARRAY(i4, a30817data)), i3158, i71, i3104, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(o28735Field0, o28735Field1))) → Inc18057(java.lang.Object(ARRAY(i4, a30817data)), i3158, i71, i3104, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(o28735Field0, o28735Field1)))
Load15508(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(java.lang.Object(Tree(o28735Field0, o28735Field1)), o28296))) → Load15508ARR6(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(java.lang.Object(Tree(o28735Field0, o28735Field1)), o28296)), java.lang.Object(java.lang.String(i3403)))
Load15508ARR6(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(java.lang.Object(Tree(o28735Field0, o28735Field1)), o28296)), java.lang.Object(java.lang.String(i3403))) → Cond_Load15508ARR6(i3403 > 0 && i3085 > 0 && i3085 < i4 && i3104 > 0 && i3085 + 1 > 0, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(java.lang.Object(Tree(o28735Field0, o28735Field1)), o28296)), java.lang.Object(java.lang.String(i3403)))
Cond_Load15508ARR6(TRUE, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(java.lang.Object(Tree(o28735Field0, o28735Field1)), o28296)), java.lang.Object(java.lang.String(i3403))) → Inc18057(java.lang.Object(ARRAY(i4, a30817data)), i3085 + 1, i71, i3104, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(o28735Field0, o28735Field1)))
Load15508(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(o25586, java.lang.Object(Tree(o28620Field0, o28620Field1)))), java.lang.Object(Tree(o25586, java.lang.Object(Tree(o28620Field0, o28620Field1))))) → Load15508ARR7(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(o25586, java.lang.Object(Tree(o28620Field0, o28620Field1)))), java.lang.Object(java.lang.String(i3404)))
Load15508ARR7(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(o25586, java.lang.Object(Tree(o28620Field0, o28620Field1)))), java.lang.Object(java.lang.String(i3404))) → Cond_Load15508ARR7(i3404 <= 0 && i3085 > 0 && i3085 < i4 && i3104 > 0 && i3085 + 1 > 0, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(o25586, java.lang.Object(Tree(o28620Field0, o28620Field1)))), java.lang.Object(java.lang.String(i3404)))
Cond_Load15508ARR7(TRUE, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(o25586, java.lang.Object(Tree(o28620Field0, o28620Field1)))), java.lang.Object(java.lang.String(i3404))) → Inc18057(java.lang.Object(ARRAY(i4, a30817data)), i3085 + 1, i71, i3104, java.lang.Object(Tree(o25586, java.lang.Object(Tree(o28620Field0, o28620Field1)))), java.lang.Object(Tree(o28620Field0, o28620Field1)))
JMP20531(java.lang.Object(ARRAY(i4, a30817data)), i3158, i71, i3104, java.lang.Object(Tree(o25586, o25587))) → Inc20602(java.lang.Object(ARRAY(i4, a30817data)), i3158, i71, i3104, java.lang.Object(Tree(o25586, o25587)))
Load15508(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(o28325, NULL))) → Load15508ARR8(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(o28325, NULL)), java.lang.Object(java.lang.String(i3404)))
Load15508ARR8(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(o28325, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(i3404))) → Cond_Load15508ARR8(i3404 <= 0 && i3085 > 0 && i3085 < i4 && i3104 > 0 && i3085 + 1 > 0, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(o28325, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(i3404)))
Cond_Load15508ARR8(TRUE, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(o25586, o25587)), java.lang.Object(Tree(o28325, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(i3404))) → Inc20602(java.lang.Object(ARRAY(i4, a30817data)), i3085 + 1, i71, i3104, o25585new)
Load15508(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(NULL, o25587)), java.lang.Object(Tree(NULL, o25587))) → Load15508ARR9(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(NULL, o25587)), java.lang.Object(java.lang.String(i3403)))
Load15508ARR9(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o25587)), java.lang.Object(java.lang.String(i3403))) → Cond_Load15508ARR9(i3403 > 0 && i3085 > 0 && i3085 < i4 && i3104 > 0 && i3085 + 1 > 0, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o25587)), java.lang.Object(java.lang.String(i3403)))
Cond_Load15508ARR9(TRUE, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o25587)), java.lang.Object(java.lang.String(i3403))) → JMP20418(java.lang.Object(ARRAY(i4, a30817data)), i3085 + 1, i71, i3104, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o25587)))
Load15508(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(o25586, NULL)), java.lang.Object(Tree(o25586, NULL))) → Load15508ARR10(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(o25586, NULL)), java.lang.Object(java.lang.String(i3404)))
Load15508ARR10(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(o25586, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(i3404))) → Cond_Load15508ARR10(i3404 <= 0 && i3085 > 0 && i3085 < i4 && i3104 > 0 && i3085 + 1 > 0, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(o25586, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(i3404)))
Cond_Load15508ARR10(TRUE, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(Tree(o25586, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(i3404))) → JMP20531(java.lang.Object(ARRAY(i4, a30817data)), i3085 + 1, i71, i3104, java.lang.Object(Tree(o25586, java.lang.Object(Tree(NULL, NULL)))))
The set Q consists of the following terms:
Load1577(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load1577ARR1(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Cond_Load1577ARR1(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load15508(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(Tree(x5, x6)), java.lang.Object(Tree(x7, x8)))
Cond_Load15508(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(Tree(x5, x6)), java.lang.Object(Tree(x7, x8)))
Load1577ARR2(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load1577ARR2(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Inc18057(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(Tree(x5, x6)), java.lang.Object(Tree(x7, x8)))
Load15508ARR3(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(Tree(x5, x6)), java.lang.Object(Tree(x7, java.lang.Object(Tree(x8, x9)))), java.lang.Object(java.lang.String(x10)))
Cond_Load15508ARR3(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(Tree(x5, x6)), java.lang.Object(Tree(x7, java.lang.Object(Tree(x8, x9)))), java.lang.Object(java.lang.String(x10)))
Inc20602(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(Tree(x5, x6)))
JMP20418(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(Tree(x5, x6)))
Load15508ARR4(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(Tree(x5, x6)), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), x7)), java.lang.Object(java.lang.String(x8)))
Cond_Load15508ARR4(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(Tree(x5, x6)), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), x7)), java.lang.Object(java.lang.String(x8)))
Load15508ARR5(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(Tree(java.lang.Object(Tree(x5, x6)), x7)), java.lang.Object(java.lang.String(x8)))
Cond_Load15508ARR5(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(Tree(java.lang.Object(Tree(x5, x6)), x7)), java.lang.Object(java.lang.String(x8)))
JMP17958(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(Tree(x5, x6)), java.lang.Object(Tree(x7, x8)))
Load15508ARR6(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(Tree(x5, x6)), java.lang.Object(Tree(java.lang.Object(Tree(x7, x8)), x9)), java.lang.Object(java.lang.String(x10)))
Cond_Load15508ARR6(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(Tree(x5, x6)), java.lang.Object(Tree(java.lang.Object(Tree(x7, x8)), x9)), java.lang.Object(java.lang.String(x10)))
Load15508ARR7(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(Tree(x5, java.lang.Object(Tree(x6, x7)))), java.lang.Object(java.lang.String(x8)))
Cond_Load15508ARR7(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(Tree(x5, java.lang.Object(Tree(x6, x7)))), java.lang.Object(java.lang.String(x8)))
JMP20531(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(Tree(x5, x6)))
Load15508ARR8(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(Tree(x5, x6)), java.lang.Object(Tree(x7, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(x8)))
Cond_Load15508ARR8(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(Tree(x5, x6)), java.lang.Object(Tree(x7, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(x8)))
Load15508ARR9(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), x5)), java.lang.Object(java.lang.String(x6)))
Cond_Load15508ARR9(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), x5)), java.lang.Object(java.lang.String(x6)))
Load15508ARR10(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(Tree(x5, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(x6)))
Cond_Load15508ARR10(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(Tree(x5, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(x6)))

(17) ITRSFilterProcessorProof (SOUND transformation)

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

Load15508(x1, x2, x3, x4, x5, x6) → Load15508(x1, x2, x3, x4)
Tree(x1, x2) → Tree
Cond_Load15508(x1, x2, x3, x4, x5, x6, x7) → Cond_Load15508(x1, x2, x3, x4, x5)
Inc18057(x1, x2, x3, x4, x5, x6) → Inc18057(x1, x2, x3, x4)
Load15508ARR3(x1, x2, x3, x4, x5, x6, x7) → Load15508ARR3(x1, x2, x3, x4, x7)
Cond_Load15508ARR3(x1, x2, x3, x4, x5, x6, x7, x8) → Cond_Load15508ARR3(x1, x2, x3, x4, x5, x8)
Inc20602(x1, x2, x3, x4, x5) → Inc20602(x1, x2, x3, x4)
JMP20418(x1, x2, x3, x4, x5) → JMP20418(x1, x2, x3, x4)
Load15508ARR4(x1, x2, x3, x4, x5, x6, x7) → Load15508ARR4(x1, x2, x3, x4, x7)
Cond_Load15508ARR4(x1, x2, x3, x4, x5, x6, x7, x8) → Cond_Load15508ARR4(x1, x2, x3, x4, x5, x8)
Load15508ARR5(x1, x2, x3, x4, x5, x6) → Load15508ARR5(x1, x2, x3, x4, x6)
Cond_Load15508ARR5(x1, x2, x3, x4, x5, x6, x7) → Cond_Load15508ARR5(x1, x2, x3, x4, x5, x7)
JMP17958(x1, x2, x3, x4, x5, x6) → JMP17958(x1, x2, x3, x4)
Load15508ARR6(x1, x2, x3, x4, x5, x6, x7) → Load15508ARR6(x1, x2, x3, x4, x7)
Cond_Load15508ARR6(x1, x2, x3, x4, x5, x6, x7, x8) → Cond_Load15508ARR6(x1, x2, x3, x4, x5, x8)
Load15508ARR7(x1, x2, x3, x4, x5, x6) → Load15508ARR7(x1, x2, x3, x4, x6)
Cond_Load15508ARR7(x1, x2, x3, x4, x5, x6, x7) → Cond_Load15508ARR7(x1, x2, x3, x4, x5, x7)
JMP20531(x1, x2, x3, x4, x5) → JMP20531(x1, x2, x3, x4)
Load15508ARR8(x1, x2, x3, x4, x5, x6, x7) → Load15508ARR8(x1, x2, x3, x4, x7)
Cond_Load15508ARR8(x1, x2, x3, x4, x5, x6, x7, x8) → Cond_Load15508ARR8(x1, x2, x3, x4, x5, x8)
Load15508ARR9(x1, x2, x3, x4, x5, x6) → Load15508ARR9(x1, x2, x3, x4, x6)
Cond_Load15508ARR9(x1, x2, x3, x4, x5, x6, x7) → Cond_Load15508ARR9(x1, x2, x3, x4, x5, x7)
Load15508ARR10(x1, x2, x3, x4, x5, x6) → Load15508ARR10(x1, x2, x3, x4, x6)
Cond_Load15508ARR10(x1, x2, x3, x4, x5, x6, x7) → Cond_Load15508ARR10(x1, x2, x3, x4, x5, x7)

(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:
Load1577(java.lang.Object(ARRAY(i4, a1938data)), i65, i71) → Load1577ARR1(java.lang.Object(ARRAY(i4, a1938data)), i65, i71)
Load1577ARR1(java.lang.Object(ARRAY(i4, a1938data)), i65, i71) → Cond_Load1577ARR1(i65 > 0 && i65 < i4 && i71 > 0 && i65 + 1 > 0, java.lang.Object(ARRAY(i4, a1938data)), i65, i71)
Cond_Load1577ARR1(TRUE, java.lang.Object(ARRAY(i4, a1938data)), i65, i71) → Load1577(java.lang.Object(ARRAY(i4, a1938data)), i65 + 1, i71 + -1)
Load15508(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3105) → Cond_Load15508(i3105 <= 0 && i71 > 0, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3105)
Cond_Load15508(TRUE, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3105) → Load1577(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71 + -1)
Load1577(java.lang.Object(ARRAY(i4, a1938data)), i65, i71) → Load1577ARR2(java.lang.Object(ARRAY(i4, a1938data)), i65, i71, java.lang.Object(java.lang.String(i120)))
Load1577ARR2(java.lang.Object(ARRAY(i4, a1938data)), i65, i71, java.lang.Object(java.lang.String(i120))) → Cond_Load1577ARR2(!(i120 = 0) && i65 > 0 && i65 < i4 && i71 > 0 && i65 + 1 > 0, java.lang.Object(ARRAY(i4, a1938data)), i65, i71, java.lang.Object(java.lang.String(i120)))
Cond_Load1577ARR2(TRUE, java.lang.Object(ARRAY(i4, a1938data)), i65, i71, java.lang.Object(java.lang.String(i120))) → Load15508(java.lang.Object(ARRAY(i4, a1938data)), i65 + 1, i71, i120)
Inc18057(java.lang.Object(ARRAY(i4, a30817data)), i3158, i71, i3104) → Load15508(java.lang.Object(ARRAY(i4, a30817data)), i3158, i71, i3104 + -1)
Load15508(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104) → Load15508ARR3(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3404)))
Load15508ARR3(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3404))) → Cond_Load15508ARR3(i3404 <= 0 && i3085 > 0 && i3085 < i4 && i3104 > 0 && i3085 + 1 > 0, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3404)))
Cond_Load15508ARR3(TRUE, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3404))) → Load15508(java.lang.Object(ARRAY(i4, a30817data)), i3085 + 1, i71, i3104 + -1)
Inc20602(java.lang.Object(ARRAY(i4, a30817data)), i3158, i71, i3104) → Load15508(java.lang.Object(ARRAY(i4, a30817data)), i3158, i71, i3104 + -1)
JMP20418(java.lang.Object(ARRAY(i4, a30817data)), i3158, i71, i3104) → Load15508(java.lang.Object(ARRAY(i4, a30817data)), i3158, i71, i3104 + -1)
Load15508(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104) → Load15508ARR4(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3403)))
Load15508ARR4(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3403))) → Cond_Load15508ARR4(i3403 > 0 && i3085 > 0 && i3085 < i4 && i3104 > 0 && i3085 + 1 > 0, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3403)))
Cond_Load15508ARR4(TRUE, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3403))) → Load15508(java.lang.Object(ARRAY(i4, a30817data)), i3085 + 1, i71, i3104 + -1)
Load15508(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104) → Load15508ARR5(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3403)))
Load15508ARR5(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3403))) → Cond_Load15508ARR5(i3403 > 0 && i3085 > 0 && i3085 < i4 && i3104 > 0 && i3085 + 1 > 0, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3403)))
Cond_Load15508ARR5(TRUE, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3403))) → JMP17958(java.lang.Object(ARRAY(i4, a30817data)), i3085 + 1, i71, i3104)
JMP17958(java.lang.Object(ARRAY(i4, a30817data)), i3158, i71, i3104) → Inc18057(java.lang.Object(ARRAY(i4, a30817data)), i3158, i71, i3104)
Load15508(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104) → Load15508ARR6(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3403)))
Load15508ARR6(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3403))) → Cond_Load15508ARR6(i3403 > 0 && i3085 > 0 && i3085 < i4 && i3104 > 0 && i3085 + 1 > 0, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3403)))
Cond_Load15508ARR6(TRUE, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3403))) → Inc18057(java.lang.Object(ARRAY(i4, a30817data)), i3085 + 1, i71, i3104)
Load15508(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104) → Load15508ARR7(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3404)))
Load15508ARR7(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3404))) → Cond_Load15508ARR7(i3404 <= 0 && i3085 > 0 && i3085 < i4 && i3104 > 0 && i3085 + 1 > 0, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3404)))
Cond_Load15508ARR7(TRUE, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3404))) → Inc18057(java.lang.Object(ARRAY(i4, a30817data)), i3085 + 1, i71, i3104)
JMP20531(java.lang.Object(ARRAY(i4, a30817data)), i3158, i71, i3104) → Inc20602(java.lang.Object(ARRAY(i4, a30817data)), i3158, i71, i3104)
Load15508(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104) → Load15508ARR8(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3404)))
Load15508ARR8(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3404))) → Cond_Load15508ARR8(i3404 <= 0 && i3085 > 0 && i3085 < i4 && i3104 > 0 && i3085 + 1 > 0, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3404)))
Cond_Load15508ARR8(TRUE, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3404))) → Inc20602(java.lang.Object(ARRAY(i4, a30817data)), i3085 + 1, i71, i3104)
Load15508(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104) → Load15508ARR9(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3403)))
Load15508ARR9(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3403))) → Cond_Load15508ARR9(i3403 > 0 && i3085 > 0 && i3085 < i4 && i3104 > 0 && i3085 + 1 > 0, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3403)))
Cond_Load15508ARR9(TRUE, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3403))) → JMP20418(java.lang.Object(ARRAY(i4, a30817data)), i3085 + 1, i71, i3104)
Load15508(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104) → Load15508ARR10(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3404)))
Load15508ARR10(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3404))) → Cond_Load15508ARR10(i3404 <= 0 && i3085 > 0 && i3085 < i4 && i3104 > 0 && i3085 + 1 > 0, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3404)))
Cond_Load15508ARR10(TRUE, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3404))) → JMP20531(java.lang.Object(ARRAY(i4, a30817data)), i3085 + 1, i71, i3104)
The set Q consists of the following terms:
Load1577(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load1577ARR1(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Cond_Load1577ARR1(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load15508(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4)
Cond_Load15508(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4)
Load1577ARR2(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load1577ARR2(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Inc18057(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4)
Load15508ARR3(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Cond_Load15508ARR3(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Inc20602(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4)
JMP20418(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4)
Load15508ARR4(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Cond_Load15508ARR4(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Load15508ARR5(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Cond_Load15508ARR5(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
JMP17958(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4)
Load15508ARR6(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Cond_Load15508ARR6(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Load15508ARR7(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Cond_Load15508ARR7(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
JMP20531(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4)
Load15508ARR8(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Cond_Load15508ARR8(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Load15508ARR9(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Cond_Load15508ARR9(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Load15508ARR10(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Cond_Load15508ARR10(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))

(19) ITRSFSMergerProof (SOUND transformation)

The following function symbols have been merged:

Inc18057, Inc20602, JMP20418
> Inc18057_4

Load15508ARR7, Load15508ARR8
> Load15508ARR7_5

Load15508ARR6, Load15508ARR9
> Load15508ARR6_5

Cond_Load15508ARR6, Cond_Load15508ARR9
> Cond_Load15508ARR6_6

JMP17958, JMP20531
> JMP17958_4

Cond_Load15508ARR7, Cond_Load15508ARR8
> Cond_Load15508ARR7_6

(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:
Load1577(java.lang.Object(ARRAY(i4, a1938data)), i65, i71) → Load1577ARR1(java.lang.Object(ARRAY(i4, a1938data)), i65, i71)
Load1577ARR1(java.lang.Object(ARRAY(i4, a1938data)), i65, i71) → Cond_Load1577ARR1(i65 > 0 && i65 < i4 && i71 > 0 && i65 + 1 > 0, java.lang.Object(ARRAY(i4, a1938data)), i65, i71)
Cond_Load1577ARR1(TRUE, java.lang.Object(ARRAY(i4, a1938data)), i65, i71) → Load1577(java.lang.Object(ARRAY(i4, a1938data)), i65 + 1, i71 + -1)
Load15508(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3105) → Cond_Load15508(i3105 <= 0 && i71 > 0, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3105)
Cond_Load15508(TRUE, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3105) → Load1577(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71 + -1)
Load1577(java.lang.Object(ARRAY(i4, a1938data)), i65, i71) → Load1577ARR2(java.lang.Object(ARRAY(i4, a1938data)), i65, i71, java.lang.Object(java.lang.String(i120)))
Load1577ARR2(java.lang.Object(ARRAY(i4, a1938data)), i65, i71, java.lang.Object(java.lang.String(i120))) → Cond_Load1577ARR2(!(i120 = 0) && i65 > 0 && i65 < i4 && i71 > 0 && i65 + 1 > 0, java.lang.Object(ARRAY(i4, a1938data)), i65, i71, java.lang.Object(java.lang.String(i120)))
Cond_Load1577ARR2(TRUE, java.lang.Object(ARRAY(i4, a1938data)), i65, i71, java.lang.Object(java.lang.String(i120))) → Load15508(java.lang.Object(ARRAY(i4, a1938data)), i65 + 1, i71, i120)
Inc18057(java.lang.Object(ARRAY(i4, a30817data)), i3158, i71, i3104) → Load15508(java.lang.Object(ARRAY(i4, a30817data)), i3158, i71, i3104 + -1)
Load15508(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104) → Load15508ARR3(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3404)))
Load15508ARR3(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3404))) → Cond_Load15508ARR3(i3404 <= 0 && i3085 > 0 && i3085 < i4 && i3104 > 0 && i3085 + 1 > 0, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3404)))
Cond_Load15508ARR3(TRUE, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3404))) → Load15508(java.lang.Object(ARRAY(i4, a30817data)), i3085 + 1, i71, i3104 + -1)
Load15508(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104) → Load15508ARR4(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3403)))
Load15508ARR4(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3403))) → Cond_Load15508ARR4(i3403 > 0 && i3085 > 0 && i3085 < i4 && i3104 > 0 && i3085 + 1 > 0, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3403)))
Cond_Load15508ARR4(TRUE, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3403))) → Load15508(java.lang.Object(ARRAY(i4, a30817data)), i3085 + 1, i71, i3104 + -1)
Load15508(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104) → Load15508ARR5(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3403)))
Load15508ARR5(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3403))) → Cond_Load15508ARR5(i3403 > 0 && i3085 > 0 && i3085 < i4 && i3104 > 0 && i3085 + 1 > 0, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3403)))
Cond_Load15508ARR5(TRUE, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3403))) → JMP17958(java.lang.Object(ARRAY(i4, a30817data)), i3085 + 1, i71, i3104)
JMP17958(java.lang.Object(ARRAY(i4, a30817data)), i3158, i71, i3104) → Inc18057(java.lang.Object(ARRAY(i4, a30817data)), i3158, i71, i3104)
Load15508(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104) → Load15508ARR6(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3403)))
Load15508ARR6(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3403))) → Cond_Load15508ARR6(i3403 > 0 && i3085 > 0 && i3085 < i4 && i3104 > 0 && i3085 + 1 > 0, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3403)))
Cond_Load15508ARR6(TRUE, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3403))) → Inc18057(java.lang.Object(ARRAY(i4, a30817data)), i3085 + 1, i71, i3104)
Load15508(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104) → Load15508ARR7(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3404)))
Load15508ARR7(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3404))) → Cond_Load15508ARR7(i3404 <= 0 && i3085 > 0 && i3085 < i4 && i3104 > 0 && i3085 + 1 > 0, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3404)))
Cond_Load15508ARR7(TRUE, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3404))) → Inc18057(java.lang.Object(ARRAY(i4, a30817data)), i3085 + 1, i71, i3104)
Load15508(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104) → Load15508ARR10(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3404)))
Load15508ARR10(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3404))) → Cond_Load15508ARR10(i3404 <= 0 && i3085 > 0 && i3085 < i4 && i3104 > 0 && i3085 + 1 > 0, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3404)))
Cond_Load15508ARR10(TRUE, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3404))) → JMP17958(java.lang.Object(ARRAY(i4, a30817data)), i3085 + 1, i71, i3104)
The set Q consists of the following terms:
Load1577(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load1577ARR1(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Cond_Load1577ARR1(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load15508(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4)
Cond_Load15508(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4)
Load1577ARR2(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load1577ARR2(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Inc18057(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4)
Load15508ARR3(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Cond_Load15508ARR3(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Load15508ARR4(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Cond_Load15508ARR4(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Load15508ARR5(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Cond_Load15508ARR5(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
JMP17958(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4)
Load15508ARR6(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Cond_Load15508ARR6(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Load15508ARR7(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Cond_Load15508ARR7(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Load15508ARR10(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Cond_Load15508ARR10(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))

(21) ITRStoIDPProof (EQUIVALENT transformation)

Added dependency pairs

(22) 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:
Load1577(java.lang.Object(ARRAY(i4, a1938data)), i65, i71) → Load1577ARR1(java.lang.Object(ARRAY(i4, a1938data)), i65, i71)
Load1577ARR1(java.lang.Object(ARRAY(i4, a1938data)), i65, i71) → Cond_Load1577ARR1(i65 > 0 && i65 < i4 && i71 > 0 && i65 + 1 > 0, java.lang.Object(ARRAY(i4, a1938data)), i65, i71)
Cond_Load1577ARR1(TRUE, java.lang.Object(ARRAY(i4, a1938data)), i65, i71) → Load1577(java.lang.Object(ARRAY(i4, a1938data)), i65 + 1, i71 + -1)
Load15508(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3105) → Cond_Load15508(i3105 <= 0 && i71 > 0, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3105)
Cond_Load15508(TRUE, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3105) → Load1577(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71 + -1)
Load1577(java.lang.Object(ARRAY(i4, a1938data)), i65, i71) → Load1577ARR2(java.lang.Object(ARRAY(i4, a1938data)), i65, i71, java.lang.Object(java.lang.String(i120)))
Load1577ARR2(java.lang.Object(ARRAY(i4, a1938data)), i65, i71, java.lang.Object(java.lang.String(i120))) → Cond_Load1577ARR2(!(i120 = 0) && i65 > 0 && i65 < i4 && i71 > 0 && i65 + 1 > 0, java.lang.Object(ARRAY(i4, a1938data)), i65, i71, java.lang.Object(java.lang.String(i120)))
Cond_Load1577ARR2(TRUE, java.lang.Object(ARRAY(i4, a1938data)), i65, i71, java.lang.Object(java.lang.String(i120))) → Load15508(java.lang.Object(ARRAY(i4, a1938data)), i65 + 1, i71, i120)
Inc18057(java.lang.Object(ARRAY(i4, a30817data)), i3158, i71, i3104) → Load15508(java.lang.Object(ARRAY(i4, a30817data)), i3158, i71, i3104 + -1)
Load15508(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104) → Load15508ARR3(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3404)))
Load15508ARR3(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3404))) → Cond_Load15508ARR3(i3404 <= 0 && i3085 > 0 && i3085 < i4 && i3104 > 0 && i3085 + 1 > 0, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3404)))
Cond_Load15508ARR3(TRUE, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3404))) → Load15508(java.lang.Object(ARRAY(i4, a30817data)), i3085 + 1, i71, i3104 + -1)
Load15508(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104) → Load15508ARR4(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3403)))
Load15508ARR4(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3403))) → Cond_Load15508ARR4(i3403 > 0 && i3085 > 0 && i3085 < i4 && i3104 > 0 && i3085 + 1 > 0, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3403)))
Cond_Load15508ARR4(TRUE, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3403))) → Load15508(java.lang.Object(ARRAY(i4, a30817data)), i3085 + 1, i71, i3104 + -1)
Load15508(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104) → Load15508ARR5(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3403)))
Load15508ARR5(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3403))) → Cond_Load15508ARR5(i3403 > 0 && i3085 > 0 && i3085 < i4 && i3104 > 0 && i3085 + 1 > 0, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3403)))
Cond_Load15508ARR5(TRUE, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3403))) → JMP17958(java.lang.Object(ARRAY(i4, a30817data)), i3085 + 1, i71, i3104)
JMP17958(java.lang.Object(ARRAY(i4, a30817data)), i3158, i71, i3104) → Inc18057(java.lang.Object(ARRAY(i4, a30817data)), i3158, i71, i3104)
Load15508(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104) → Load15508ARR6(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3403)))
Load15508ARR6(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3403))) → Cond_Load15508ARR6(i3403 > 0 && i3085 > 0 && i3085 < i4 && i3104 > 0 && i3085 + 1 > 0, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3403)))
Cond_Load15508ARR6(TRUE, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3403))) → Inc18057(java.lang.Object(ARRAY(i4, a30817data)), i3085 + 1, i71, i3104)
Load15508(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104) → Load15508ARR7(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3404)))
Load15508ARR7(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3404))) → Cond_Load15508ARR7(i3404 <= 0 && i3085 > 0 && i3085 < i4 && i3104 > 0 && i3085 + 1 > 0, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3404)))
Cond_Load15508ARR7(TRUE, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3404))) → Inc18057(java.lang.Object(ARRAY(i4, a30817data)), i3085 + 1, i71, i3104)
Load15508(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104) → Load15508ARR10(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3404)))
Load15508ARR10(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3404))) → Cond_Load15508ARR10(i3404 <= 0 && i3085 > 0 && i3085 < i4 && i3104 > 0 && i3085 + 1 > 0, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3404)))
Cond_Load15508ARR10(TRUE, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3404))) → JMP17958(java.lang.Object(ARRAY(i4, a30817data)), i3085 + 1, i71, i3104)

The integer pair graph contains the following rules and edges:
(0): LOAD1577(java.lang.Object(ARRAY(i4[0], a1938data[0])), i65[0], i71[0]) → LOAD1577ARR1(java.lang.Object(ARRAY(i4[0], a1938data[0])), i65[0], i71[0])
(1): LOAD1577ARR1(java.lang.Object(ARRAY(i4[1], a1938data[1])), i65[1], i71[1]) → COND_LOAD1577ARR1(i65[1] > 0 && i65[1] < i4[1] && i71[1] > 0 && i65[1] + 1 > 0, java.lang.Object(ARRAY(i4[1], a1938data[1])), i65[1], i71[1])
(2): COND_LOAD1577ARR1(TRUE, java.lang.Object(ARRAY(i4[2], a1938data[2])), i65[2], i71[2]) → LOAD1577(java.lang.Object(ARRAY(i4[2], a1938data[2])), i65[2] + 1, i71[2] + -1)
(3): LOAD15508(java.lang.Object(ARRAY(i4[3], a30817data[3])), i3085[3], i71[3], i3105[3]) → COND_LOAD15508(i3105[3] <= 0 && i71[3] > 0, java.lang.Object(ARRAY(i4[3], a30817data[3])), i3085[3], i71[3], i3105[3])
(4): COND_LOAD15508(TRUE, java.lang.Object(ARRAY(i4[4], a30817data[4])), i3085[4], i71[4], i3105[4]) → LOAD1577(java.lang.Object(ARRAY(i4[4], a30817data[4])), i3085[4], i71[4] + -1)
(5): LOAD1577(java.lang.Object(ARRAY(i4[5], a1938data[5])), i65[5], i71[5]) → LOAD1577ARR2(java.lang.Object(ARRAY(i4[5], a1938data[5])), i65[5], i71[5], java.lang.Object(java.lang.String(i120[5])))
(6): LOAD1577ARR2(java.lang.Object(ARRAY(i4[6], a1938data[6])), i65[6], i71[6], java.lang.Object(java.lang.String(i120[6]))) → COND_LOAD1577ARR2(!(i120[6] = 0) && i65[6] > 0 && i65[6] < i4[6] && i71[6] > 0 && i65[6] + 1 > 0, java.lang.Object(ARRAY(i4[6], a1938data[6])), i65[6], i71[6], java.lang.Object(java.lang.String(i120[6])))
(7): COND_LOAD1577ARR2(TRUE, java.lang.Object(ARRAY(i4[7], a1938data[7])), i65[7], i71[7], java.lang.Object(java.lang.String(i120[7]))) → LOAD15508(java.lang.Object(ARRAY(i4[7], a1938data[7])), i65[7] + 1, i71[7], i120[7])
(8): INC18057(java.lang.Object(ARRAY(i4[8], a30817data[8])), i3158[8], i71[8], i3104[8]) → LOAD15508(java.lang.Object(ARRAY(i4[8], a30817data[8])), i3158[8], i71[8], i3104[8] + -1)
(9): LOAD15508(java.lang.Object(ARRAY(i4[9], a30817data[9])), i3085[9], i71[9], i3104[9]) → LOAD15508ARR3(java.lang.Object(ARRAY(i4[9], a30817data[9])), i3085[9], i71[9], i3104[9], java.lang.Object(java.lang.String(i3404[9])))
(10): LOAD15508ARR3(java.lang.Object(ARRAY(i4[10], a30817data[10])), i3085[10], i71[10], i3104[10], java.lang.Object(java.lang.String(i3404[10]))) → COND_LOAD15508ARR3(i3404[10] <= 0 && i3085[10] > 0 && i3085[10] < i4[10] && i3104[10] > 0 && i3085[10] + 1 > 0, java.lang.Object(ARRAY(i4[10], a30817data[10])), i3085[10], i71[10], i3104[10], java.lang.Object(java.lang.String(i3404[10])))
(11): COND_LOAD15508ARR3(TRUE, java.lang.Object(ARRAY(i4[11], a30817data[11])), i3085[11], i71[11], i3104[11], java.lang.Object(java.lang.String(i3404[11]))) → LOAD15508(java.lang.Object(ARRAY(i4[11], a30817data[11])), i3085[11] + 1, i71[11], i3104[11] + -1)
(12): LOAD15508(java.lang.Object(ARRAY(i4[12], a30817data[12])), i3085[12], i71[12], i3104[12]) → LOAD15508ARR4(java.lang.Object(ARRAY(i4[12], a30817data[12])), i3085[12], i71[12], i3104[12], java.lang.Object(java.lang.String(i3403[12])))
(13): LOAD15508ARR4(java.lang.Object(ARRAY(i4[13], a30817data[13])), i3085[13], i71[13], i3104[13], java.lang.Object(java.lang.String(i3403[13]))) → COND_LOAD15508ARR4(i3403[13] > 0 && i3085[13] > 0 && i3085[13] < i4[13] && i3104[13] > 0 && i3085[13] + 1 > 0, java.lang.Object(ARRAY(i4[13], a30817data[13])), i3085[13], i71[13], i3104[13], java.lang.Object(java.lang.String(i3403[13])))
(14): COND_LOAD15508ARR4(TRUE, java.lang.Object(ARRAY(i4[14], a30817data[14])), i3085[14], i71[14], i3104[14], java.lang.Object(java.lang.String(i3403[14]))) → LOAD15508(java.lang.Object(ARRAY(i4[14], a30817data[14])), i3085[14] + 1, i71[14], i3104[14] + -1)
(15): LOAD15508(java.lang.Object(ARRAY(i4[15], a30817data[15])), i3085[15], i71[15], i3104[15]) → LOAD15508ARR5(java.lang.Object(ARRAY(i4[15], a30817data[15])), i3085[15], i71[15], i3104[15], java.lang.Object(java.lang.String(i3403[15])))
(16): LOAD15508ARR5(java.lang.Object(ARRAY(i4[16], a30817data[16])), i3085[16], i71[16], i3104[16], java.lang.Object(java.lang.String(i3403[16]))) → COND_LOAD15508ARR5(i3403[16] > 0 && i3085[16] > 0 && i3085[16] < i4[16] && i3104[16] > 0 && i3085[16] + 1 > 0, java.lang.Object(ARRAY(i4[16], a30817data[16])), i3085[16], i71[16], i3104[16], java.lang.Object(java.lang.String(i3403[16])))
(17): COND_LOAD15508ARR5(TRUE, java.lang.Object(ARRAY(i4[17], a30817data[17])), i3085[17], i71[17], i3104[17], java.lang.Object(java.lang.String(i3403[17]))) → JMP17958'(java.lang.Object(ARRAY(i4[17], a30817data[17])), i3085[17] + 1, i71[17], i3104[17])
(18): JMP17958'(java.lang.Object(ARRAY(i4[18], a30817data[18])), i3158[18], i71[18], i3104[18]) → INC18057(java.lang.Object(ARRAY(i4[18], a30817data[18])), i3158[18], i71[18], i3104[18])
(19): LOAD15508(java.lang.Object(ARRAY(i4[19], a30817data[19])), i3085[19], i71[19], i3104[19]) → LOAD15508ARR6(java.lang.Object(ARRAY(i4[19], a30817data[19])), i3085[19], i71[19], i3104[19], java.lang.Object(java.lang.String(i3403[19])))
(20): LOAD15508ARR6(java.lang.Object(ARRAY(i4[20], a30817data[20])), i3085[20], i71[20], i3104[20], java.lang.Object(java.lang.String(i3403[20]))) → COND_LOAD15508ARR6(i3403[20] > 0 && i3085[20] > 0 && i3085[20] < i4[20] && i3104[20] > 0 && i3085[20] + 1 > 0, java.lang.Object(ARRAY(i4[20], a30817data[20])), i3085[20], i71[20], i3104[20], java.lang.Object(java.lang.String(i3403[20])))
(21): COND_LOAD15508ARR6(TRUE, java.lang.Object(ARRAY(i4[21], a30817data[21])), i3085[21], i71[21], i3104[21], java.lang.Object(java.lang.String(i3403[21]))) → INC18057(java.lang.Object(ARRAY(i4[21], a30817data[21])), i3085[21] + 1, i71[21], i3104[21])
(22): LOAD15508(java.lang.Object(ARRAY(i4[22], a30817data[22])), i3085[22], i71[22], i3104[22]) → LOAD15508ARR7(java.lang.Object(ARRAY(i4[22], a30817data[22])), i3085[22], i71[22], i3104[22], java.lang.Object(java.lang.String(i3404[22])))
(23): LOAD15508ARR7(java.lang.Object(ARRAY(i4[23], a30817data[23])), i3085[23], i71[23], i3104[23], java.lang.Object(java.lang.String(i3404[23]))) → COND_LOAD15508ARR7(i3404[23] <= 0 && i3085[23] > 0 && i3085[23] < i4[23] && i3104[23] > 0 && i3085[23] + 1 > 0, java.lang.Object(ARRAY(i4[23], a30817data[23])), i3085[23], i71[23], i3104[23], java.lang.Object(java.lang.String(i3404[23])))
(24): COND_LOAD15508ARR7(TRUE, java.lang.Object(ARRAY(i4[24], a30817data[24])), i3085[24], i71[24], i3104[24], java.lang.Object(java.lang.String(i3404[24]))) → INC18057(java.lang.Object(ARRAY(i4[24], a30817data[24])), i3085[24] + 1, i71[24], i3104[24])
(25): LOAD15508(java.lang.Object(ARRAY(i4[25], a30817data[25])), i3085[25], i71[25], i3104[25]) → LOAD15508ARR10(java.lang.Object(ARRAY(i4[25], a30817data[25])), i3085[25], i71[25], i3104[25], java.lang.Object(java.lang.String(i3404[25])))
(26): LOAD15508ARR10(java.lang.Object(ARRAY(i4[26], a30817data[26])), i3085[26], i71[26], i3104[26], java.lang.Object(java.lang.String(i3404[26]))) → COND_LOAD15508ARR10(i3404[26] <= 0 && i3085[26] > 0 && i3085[26] < i4[26] && i3104[26] > 0 && i3085[26] + 1 > 0, java.lang.Object(ARRAY(i4[26], a30817data[26])), i3085[26], i71[26], i3104[26], java.lang.Object(java.lang.String(i3404[26])))
(27): COND_LOAD15508ARR10(TRUE, java.lang.Object(ARRAY(i4[27], a30817data[27])), i3085[27], i71[27], i3104[27], java.lang.Object(java.lang.String(i3404[27]))) → JMP17958'(java.lang.Object(ARRAY(i4[27], a30817data[27])), i3085[27] + 1, i71[27], i3104[27])

(0) -> (1), if ((i65[0]* i65[1])∧(i71[0]* i71[1])∧(java.lang.Object(ARRAY(i4[0], a1938data[0])) →* java.lang.Object(ARRAY(i4[1], a1938data[1]))))


(1) -> (2), if ((i71[1]* i71[2])∧(i65[1]* i65[2])∧(java.lang.Object(ARRAY(i4[1], a1938data[1])) →* java.lang.Object(ARRAY(i4[2], a1938data[2])))∧(i65[1] > 0 && i65[1] < i4[1] && i71[1] > 0 && i65[1] + 1 > 0* TRUE))


(2) -> (0), if ((i65[2] + 1* i65[0])∧(java.lang.Object(ARRAY(i4[2], a1938data[2])) →* java.lang.Object(ARRAY(i4[0], a1938data[0])))∧(i71[2] + -1* i71[0]))


(2) -> (5), if ((java.lang.Object(ARRAY(i4[2], a1938data[2])) →* java.lang.Object(ARRAY(i4[5], a1938data[5])))∧(i65[2] + 1* i65[5])∧(i71[2] + -1* i71[5]))


(3) -> (4), if ((i3085[3]* i3085[4])∧(java.lang.Object(ARRAY(i4[3], a30817data[3])) →* java.lang.Object(ARRAY(i4[4], a30817data[4])))∧(i3105[3]* i3105[4])∧(i71[3]* i71[4])∧(i3105[3] <= 0 && i71[3] > 0* TRUE))


(4) -> (0), if ((i3085[4]* i65[0])∧(i71[4] + -1* i71[0])∧(java.lang.Object(ARRAY(i4[4], a30817data[4])) →* java.lang.Object(ARRAY(i4[0], a1938data[0]))))


(4) -> (5), if ((java.lang.Object(ARRAY(i4[4], a30817data[4])) →* java.lang.Object(ARRAY(i4[5], a1938data[5])))∧(i71[4] + -1* i71[5])∧(i3085[4]* i65[5]))


(5) -> (6), if ((i65[5]* i65[6])∧(i71[5]* i71[6])∧(java.lang.Object(ARRAY(i4[5], a1938data[5])) →* java.lang.Object(ARRAY(i4[6], a1938data[6])))∧(java.lang.Object(java.lang.String(i120[5])) →* java.lang.Object(java.lang.String(i120[6]))))


(6) -> (7), if ((!(i120[6] = 0) && i65[6] > 0 && i65[6] < i4[6] && i71[6] > 0 && i65[6] + 1 > 0* TRUE)∧(i65[6]* i65[7])∧(i71[6]* i71[7])∧(java.lang.Object(ARRAY(i4[6], a1938data[6])) →* java.lang.Object(ARRAY(i4[7], a1938data[7])))∧(java.lang.Object(java.lang.String(i120[6])) →* java.lang.Object(java.lang.String(i120[7]))))


(7) -> (3), if ((i120[7]* i3105[3])∧(java.lang.Object(ARRAY(i4[7], a1938data[7])) →* java.lang.Object(ARRAY(i4[3], a30817data[3])))∧(i65[7] + 1* i3085[3])∧(i71[7]* i71[3]))


(7) -> (9), if ((i71[7]* i71[9])∧(i65[7] + 1* i3085[9])∧(java.lang.Object(ARRAY(i4[7], a1938data[7])) →* java.lang.Object(ARRAY(i4[9], a30817data[9])))∧(i120[7]* i3104[9]))


(7) -> (12), if ((i65[7] + 1* i3085[12])∧(java.lang.Object(ARRAY(i4[7], a1938data[7])) →* java.lang.Object(ARRAY(i4[12], a30817data[12])))∧(i71[7]* i71[12])∧(i120[7]* i3104[12]))


(7) -> (15), if ((i71[7]* i71[15])∧(i65[7] + 1* i3085[15])∧(java.lang.Object(ARRAY(i4[7], a1938data[7])) →* java.lang.Object(ARRAY(i4[15], a30817data[15])))∧(i120[7]* i3104[15]))


(7) -> (19), if ((i71[7]* i71[19])∧(i65[7] + 1* i3085[19])∧(i120[7]* i3104[19])∧(java.lang.Object(ARRAY(i4[7], a1938data[7])) →* java.lang.Object(ARRAY(i4[19], a30817data[19]))))


(7) -> (22), if ((java.lang.Object(ARRAY(i4[7], a1938data[7])) →* java.lang.Object(ARRAY(i4[22], a30817data[22])))∧(i120[7]* i3104[22])∧(i65[7] + 1* i3085[22])∧(i71[7]* i71[22]))


(7) -> (25), if ((i65[7] + 1* i3085[25])∧(i71[7]* i71[25])∧(java.lang.Object(ARRAY(i4[7], a1938data[7])) →* java.lang.Object(ARRAY(i4[25], a30817data[25])))∧(i120[7]* i3104[25]))


(8) -> (3), if ((i71[8]* i71[3])∧(i3158[8]* i3085[3])∧(java.lang.Object(ARRAY(i4[8], a30817data[8])) →* java.lang.Object(ARRAY(i4[3], a30817data[3])))∧(i3104[8] + -1* i3105[3]))


(8) -> (9), if ((java.lang.Object(ARRAY(i4[8], a30817data[8])) →* java.lang.Object(ARRAY(i4[9], a30817data[9])))∧(i3158[8]* i3085[9])∧(i3104[8] + -1* i3104[9])∧(i71[8]* i71[9]))


(8) -> (12), if ((i71[8]* i71[12])∧(i3158[8]* i3085[12])∧(java.lang.Object(ARRAY(i4[8], a30817data[8])) →* java.lang.Object(ARRAY(i4[12], a30817data[12])))∧(i3104[8] + -1* i3104[12]))


(8) -> (15), if ((java.lang.Object(ARRAY(i4[8], a30817data[8])) →* java.lang.Object(ARRAY(i4[15], a30817data[15])))∧(i3158[8]* i3085[15])∧(i71[8]* i71[15])∧(i3104[8] + -1* i3104[15]))


(8) -> (19), if ((i3104[8] + -1* i3104[19])∧(i3158[8]* i3085[19])∧(java.lang.Object(ARRAY(i4[8], a30817data[8])) →* java.lang.Object(ARRAY(i4[19], a30817data[19])))∧(i71[8]* i71[19]))


(8) -> (22), if ((i3158[8]* i3085[22])∧(i3104[8] + -1* i3104[22])∧(i71[8]* i71[22])∧(java.lang.Object(ARRAY(i4[8], a30817data[8])) →* java.lang.Object(ARRAY(i4[22], a30817data[22]))))


(8) -> (25), if ((i71[8]* i71[25])∧(java.lang.Object(ARRAY(i4[8], a30817data[8])) →* java.lang.Object(ARRAY(i4[25], a30817data[25])))∧(i3158[8]* i3085[25])∧(i3104[8] + -1* i3104[25]))


(9) -> (10), if ((i3085[9]* i3085[10])∧(i3104[9]* i3104[10])∧(i71[9]* i71[10])∧(java.lang.Object(ARRAY(i4[9], a30817data[9])) →* java.lang.Object(ARRAY(i4[10], a30817data[10])))∧(java.lang.Object(java.lang.String(i3404[9])) →* java.lang.Object(java.lang.String(i3404[10]))))


(10) -> (11), if ((i3085[10]* i3085[11])∧(java.lang.Object(ARRAY(i4[10], a30817data[10])) →* java.lang.Object(ARRAY(i4[11], a30817data[11])))∧(i3404[10] <= 0 && i3085[10] > 0 && i3085[10] < i4[10] && i3104[10] > 0 && i3085[10] + 1 > 0* TRUE)∧(java.lang.Object(java.lang.String(i3404[10])) →* java.lang.Object(java.lang.String(i3404[11])))∧(i3104[10]* i3104[11])∧(i71[10]* i71[11]))


(11) -> (3), if ((java.lang.Object(ARRAY(i4[11], a30817data[11])) →* java.lang.Object(ARRAY(i4[3], a30817data[3])))∧(i3085[11] + 1* i3085[3])∧(i3104[11] + -1* i3105[3])∧(i71[11]* i71[3]))


(11) -> (9), if ((i71[11]* i71[9])∧(java.lang.Object(ARRAY(i4[11], a30817data[11])) →* java.lang.Object(ARRAY(i4[9], a30817data[9])))∧(i3085[11] + 1* i3085[9])∧(i3104[11] + -1* i3104[9]))


(11) -> (12), if ((i71[11]* i71[12])∧(i3085[11] + 1* i3085[12])∧(java.lang.Object(ARRAY(i4[11], a30817data[11])) →* java.lang.Object(ARRAY(i4[12], a30817data[12])))∧(i3104[11] + -1* i3104[12]))


(11) -> (15), if ((java.lang.Object(ARRAY(i4[11], a30817data[11])) →* java.lang.Object(ARRAY(i4[15], a30817data[15])))∧(i3085[11] + 1* i3085[15])∧(i3104[11] + -1* i3104[15])∧(i71[11]* i71[15]))


(11) -> (19), if ((i3085[11] + 1* i3085[19])∧(java.lang.Object(ARRAY(i4[11], a30817data[11])) →* java.lang.Object(ARRAY(i4[19], a30817data[19])))∧(i71[11]* i71[19])∧(i3104[11] + -1* i3104[19]))


(11) -> (22), if ((java.lang.Object(ARRAY(i4[11], a30817data[11])) →* java.lang.Object(ARRAY(i4[22], a30817data[22])))∧(i3085[11] + 1* i3085[22])∧(i71[11]* i71[22])∧(i3104[11] + -1* i3104[22]))


(11) -> (25), if ((i3085[11] + 1* i3085[25])∧(i3104[11] + -1* i3104[25])∧(java.lang.Object(ARRAY(i4[11], a30817data[11])) →* java.lang.Object(ARRAY(i4[25], a30817data[25])))∧(i71[11]* i71[25]))


(12) -> (13), if ((java.lang.Object(java.lang.String(i3403[12])) →* java.lang.Object(java.lang.String(i3403[13])))∧(i3085[12]* i3085[13])∧(i71[12]* i71[13])∧(i3104[12]* i3104[13])∧(java.lang.Object(ARRAY(i4[12], a30817data[12])) →* java.lang.Object(ARRAY(i4[13], a30817data[13]))))


(13) -> (14), if ((i71[13]* i71[14])∧(i3403[13] > 0 && i3085[13] > 0 && i3085[13] < i4[13] && i3104[13] > 0 && i3085[13] + 1 > 0* TRUE)∧(i3104[13]* i3104[14])∧(java.lang.Object(java.lang.String(i3403[13])) →* java.lang.Object(java.lang.String(i3403[14])))∧(i3085[13]* i3085[14])∧(java.lang.Object(ARRAY(i4[13], a30817data[13])) →* java.lang.Object(ARRAY(i4[14], a30817data[14]))))


(14) -> (3), if ((i3104[14] + -1* i3105[3])∧(java.lang.Object(ARRAY(i4[14], a30817data[14])) →* java.lang.Object(ARRAY(i4[3], a30817data[3])))∧(i3085[14] + 1* i3085[3])∧(i71[14]* i71[3]))


(14) -> (9), if ((i71[14]* i71[9])∧(i3085[14] + 1* i3085[9])∧(i3104[14] + -1* i3104[9])∧(java.lang.Object(ARRAY(i4[14], a30817data[14])) →* java.lang.Object(ARRAY(i4[9], a30817data[9]))))


(14) -> (12), if ((java.lang.Object(ARRAY(i4[14], a30817data[14])) →* java.lang.Object(ARRAY(i4[12], a30817data[12])))∧(i3104[14] + -1* i3104[12])∧(i71[14]* i71[12])∧(i3085[14] + 1* i3085[12]))


(14) -> (15), if ((i3104[14] + -1* i3104[15])∧(i71[14]* i71[15])∧(i3085[14] + 1* i3085[15])∧(java.lang.Object(ARRAY(i4[14], a30817data[14])) →* java.lang.Object(ARRAY(i4[15], a30817data[15]))))


(14) -> (19), if ((i3085[14] + 1* i3085[19])∧(i71[14]* i71[19])∧(i3104[14] + -1* i3104[19])∧(java.lang.Object(ARRAY(i4[14], a30817data[14])) →* java.lang.Object(ARRAY(i4[19], a30817data[19]))))


(14) -> (22), if ((i71[14]* i71[22])∧(java.lang.Object(ARRAY(i4[14], a30817data[14])) →* java.lang.Object(ARRAY(i4[22], a30817data[22])))∧(i3104[14] + -1* i3104[22])∧(i3085[14] + 1* i3085[22]))


(14) -> (25), if ((java.lang.Object(ARRAY(i4[14], a30817data[14])) →* java.lang.Object(ARRAY(i4[25], a30817data[25])))∧(i3104[14] + -1* i3104[25])∧(i71[14]* i71[25])∧(i3085[14] + 1* i3085[25]))


(15) -> (16), if ((i3085[15]* i3085[16])∧(i71[15]* i71[16])∧(i3104[15]* i3104[16])∧(java.lang.Object(java.lang.String(i3403[15])) →* java.lang.Object(java.lang.String(i3403[16])))∧(java.lang.Object(ARRAY(i4[15], a30817data[15])) →* java.lang.Object(ARRAY(i4[16], a30817data[16]))))


(16) -> (17), if ((i3104[16]* i3104[17])∧(java.lang.Object(ARRAY(i4[16], a30817data[16])) →* java.lang.Object(ARRAY(i4[17], a30817data[17])))∧(java.lang.Object(java.lang.String(i3403[16])) →* java.lang.Object(java.lang.String(i3403[17])))∧(i3085[16]* i3085[17])∧(i3403[16] > 0 && i3085[16] > 0 && i3085[16] < i4[16] && i3104[16] > 0 && i3085[16] + 1 > 0* TRUE)∧(i71[16]* i71[17]))


(17) -> (18), if ((i3104[17]* i3104[18])∧(java.lang.Object(ARRAY(i4[17], a30817data[17])) →* java.lang.Object(ARRAY(i4[18], a30817data[18])))∧(i3085[17] + 1* i3158[18])∧(i71[17]* i71[18]))


(18) -> (8), if ((java.lang.Object(ARRAY(i4[18], a30817data[18])) →* java.lang.Object(ARRAY(i4[8], a30817data[8])))∧(i71[18]* i71[8])∧(i3104[18]* i3104[8])∧(i3158[18]* i3158[8]))


(19) -> (20), if ((i3085[19]* i3085[20])∧(java.lang.Object(java.lang.String(i3403[19])) →* java.lang.Object(java.lang.String(i3403[20])))∧(i3104[19]* i3104[20])∧(java.lang.Object(ARRAY(i4[19], a30817data[19])) →* java.lang.Object(ARRAY(i4[20], a30817data[20])))∧(i71[19]* i71[20]))


(20) -> (21), if ((i3403[20] > 0 && i3085[20] > 0 && i3085[20] < i4[20] && i3104[20] > 0 && i3085[20] + 1 > 0* TRUE)∧(i3104[20]* i3104[21])∧(i71[20]* i71[21])∧(java.lang.Object(java.lang.String(i3403[20])) →* java.lang.Object(java.lang.String(i3403[21])))∧(java.lang.Object(ARRAY(i4[20], a30817data[20])) →* java.lang.Object(ARRAY(i4[21], a30817data[21])))∧(i3085[20]* i3085[21]))


(21) -> (8), if ((i3104[21]* i3104[8])∧(java.lang.Object(ARRAY(i4[21], a30817data[21])) →* java.lang.Object(ARRAY(i4[8], a30817data[8])))∧(i3085[21] + 1* i3158[8])∧(i71[21]* i71[8]))


(22) -> (23), if ((java.lang.Object(java.lang.String(i3404[22])) →* java.lang.Object(java.lang.String(i3404[23])))∧(i3104[22]* i3104[23])∧(i3085[22]* i3085[23])∧(i71[22]* i71[23])∧(java.lang.Object(ARRAY(i4[22], a30817data[22])) →* java.lang.Object(ARRAY(i4[23], a30817data[23]))))


(23) -> (24), if ((i3085[23]* i3085[24])∧(i3104[23]* i3104[24])∧(java.lang.Object(java.lang.String(i3404[23])) →* java.lang.Object(java.lang.String(i3404[24])))∧(i71[23]* i71[24])∧(java.lang.Object(ARRAY(i4[23], a30817data[23])) →* java.lang.Object(ARRAY(i4[24], a30817data[24])))∧(i3404[23] <= 0 && i3085[23] > 0 && i3085[23] < i4[23] && i3104[23] > 0 && i3085[23] + 1 > 0* TRUE))


(24) -> (8), if ((i3104[24]* i3104[8])∧(i71[24]* i71[8])∧(i3085[24] + 1* i3158[8])∧(java.lang.Object(ARRAY(i4[24], a30817data[24])) →* java.lang.Object(ARRAY(i4[8], a30817data[8]))))


(25) -> (26), if ((i71[25]* i71[26])∧(java.lang.Object(java.lang.String(i3404[25])) →* java.lang.Object(java.lang.String(i3404[26])))∧(i3104[25]* i3104[26])∧(i3085[25]* i3085[26])∧(java.lang.Object(ARRAY(i4[25], a30817data[25])) →* java.lang.Object(ARRAY(i4[26], a30817data[26]))))


(26) -> (27), if ((i3104[26]* i3104[27])∧(i3085[26]* i3085[27])∧(java.lang.Object(ARRAY(i4[26], a30817data[26])) →* java.lang.Object(ARRAY(i4[27], a30817data[27])))∧(i71[26]* i71[27])∧(java.lang.Object(java.lang.String(i3404[26])) →* java.lang.Object(java.lang.String(i3404[27])))∧(i3404[26] <= 0 && i3085[26] > 0 && i3085[26] < i4[26] && i3104[26] > 0 && i3085[26] + 1 > 0* TRUE))


(27) -> (18), if ((java.lang.Object(ARRAY(i4[27], a30817data[27])) →* java.lang.Object(ARRAY(i4[18], a30817data[18])))∧(i3104[27]* i3104[18])∧(i71[27]* i71[18])∧(i3085[27] + 1* i3158[18]))



The set Q consists of the following terms:
Load1577(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load1577ARR1(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Cond_Load1577ARR1(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load15508(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4)
Cond_Load15508(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4)
Load1577ARR2(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load1577ARR2(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Inc18057(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4)
Load15508ARR3(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Cond_Load15508ARR3(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Load15508ARR4(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Cond_Load15508ARR4(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Load15508ARR5(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Cond_Load15508ARR5(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
JMP17958(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4)
Load15508ARR6(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Cond_Load15508ARR6(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Load15508ARR7(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Cond_Load15508ARR7(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Load15508ARR10(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Cond_Load15508ARR10(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))

(23) 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.

(24) 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): LOAD1577(java.lang.Object(ARRAY(i4[0], a1938data[0])), i65[0], i71[0]) → LOAD1577ARR1(java.lang.Object(ARRAY(i4[0], a1938data[0])), i65[0], i71[0])
(1): LOAD1577ARR1(java.lang.Object(ARRAY(i4[1], a1938data[1])), i65[1], i71[1]) → COND_LOAD1577ARR1(i65[1] > 0 && i65[1] < i4[1] && i71[1] > 0 && i65[1] + 1 > 0, java.lang.Object(ARRAY(i4[1], a1938data[1])), i65[1], i71[1])
(2): COND_LOAD1577ARR1(TRUE, java.lang.Object(ARRAY(i4[2], a1938data[2])), i65[2], i71[2]) → LOAD1577(java.lang.Object(ARRAY(i4[2], a1938data[2])), i65[2] + 1, i71[2] + -1)
(3): LOAD15508(java.lang.Object(ARRAY(i4[3], a30817data[3])), i3085[3], i71[3], i3105[3]) → COND_LOAD15508(i3105[3] <= 0 && i71[3] > 0, java.lang.Object(ARRAY(i4[3], a30817data[3])), i3085[3], i71[3], i3105[3])
(4): COND_LOAD15508(TRUE, java.lang.Object(ARRAY(i4[4], a30817data[4])), i3085[4], i71[4], i3105[4]) → LOAD1577(java.lang.Object(ARRAY(i4[4], a30817data[4])), i3085[4], i71[4] + -1)
(5): LOAD1577(java.lang.Object(ARRAY(i4[5], a1938data[5])), i65[5], i71[5]) → LOAD1577ARR2(java.lang.Object(ARRAY(i4[5], a1938data[5])), i65[5], i71[5], java.lang.Object(java.lang.String(i120[5])))
(6): LOAD1577ARR2(java.lang.Object(ARRAY(i4[6], a1938data[6])), i65[6], i71[6], java.lang.Object(java.lang.String(i120[6]))) → COND_LOAD1577ARR2(!(i120[6] = 0) && i65[6] > 0 && i65[6] < i4[6] && i71[6] > 0 && i65[6] + 1 > 0, java.lang.Object(ARRAY(i4[6], a1938data[6])), i65[6], i71[6], java.lang.Object(java.lang.String(i120[6])))
(7): COND_LOAD1577ARR2(TRUE, java.lang.Object(ARRAY(i4[7], a1938data[7])), i65[7], i71[7], java.lang.Object(java.lang.String(i120[7]))) → LOAD15508(java.lang.Object(ARRAY(i4[7], a1938data[7])), i65[7] + 1, i71[7], i120[7])
(8): INC18057(java.lang.Object(ARRAY(i4[8], a30817data[8])), i3158[8], i71[8], i3104[8]) → LOAD15508(java.lang.Object(ARRAY(i4[8], a30817data[8])), i3158[8], i71[8], i3104[8] + -1)
(9): LOAD15508(java.lang.Object(ARRAY(i4[9], a30817data[9])), i3085[9], i71[9], i3104[9]) → LOAD15508ARR3(java.lang.Object(ARRAY(i4[9], a30817data[9])), i3085[9], i71[9], i3104[9], java.lang.Object(java.lang.String(i3404[9])))
(10): LOAD15508ARR3(java.lang.Object(ARRAY(i4[10], a30817data[10])), i3085[10], i71[10], i3104[10], java.lang.Object(java.lang.String(i3404[10]))) → COND_LOAD15508ARR3(i3404[10] <= 0 && i3085[10] > 0 && i3085[10] < i4[10] && i3104[10] > 0 && i3085[10] + 1 > 0, java.lang.Object(ARRAY(i4[10], a30817data[10])), i3085[10], i71[10], i3104[10], java.lang.Object(java.lang.String(i3404[10])))
(11): COND_LOAD15508ARR3(TRUE, java.lang.Object(ARRAY(i4[11], a30817data[11])), i3085[11], i71[11], i3104[11], java.lang.Object(java.lang.String(i3404[11]))) → LOAD15508(java.lang.Object(ARRAY(i4[11], a30817data[11])), i3085[11] + 1, i71[11], i3104[11] + -1)
(12): LOAD15508(java.lang.Object(ARRAY(i4[12], a30817data[12])), i3085[12], i71[12], i3104[12]) → LOAD15508ARR4(java.lang.Object(ARRAY(i4[12], a30817data[12])), i3085[12], i71[12], i3104[12], java.lang.Object(java.lang.String(i3403[12])))
(13): LOAD15508ARR4(java.lang.Object(ARRAY(i4[13], a30817data[13])), i3085[13], i71[13], i3104[13], java.lang.Object(java.lang.String(i3403[13]))) → COND_LOAD15508ARR4(i3403[13] > 0 && i3085[13] > 0 && i3085[13] < i4[13] && i3104[13] > 0 && i3085[13] + 1 > 0, java.lang.Object(ARRAY(i4[13], a30817data[13])), i3085[13], i71[13], i3104[13], java.lang.Object(java.lang.String(i3403[13])))
(14): COND_LOAD15508ARR4(TRUE, java.lang.Object(ARRAY(i4[14], a30817data[14])), i3085[14], i71[14], i3104[14], java.lang.Object(java.lang.String(i3403[14]))) → LOAD15508(java.lang.Object(ARRAY(i4[14], a30817data[14])), i3085[14] + 1, i71[14], i3104[14] + -1)
(15): LOAD15508(java.lang.Object(ARRAY(i4[15], a30817data[15])), i3085[15], i71[15], i3104[15]) → LOAD15508ARR5(java.lang.Object(ARRAY(i4[15], a30817data[15])), i3085[15], i71[15], i3104[15], java.lang.Object(java.lang.String(i3403[15])))
(16): LOAD15508ARR5(java.lang.Object(ARRAY(i4[16], a30817data[16])), i3085[16], i71[16], i3104[16], java.lang.Object(java.lang.String(i3403[16]))) → COND_LOAD15508ARR5(i3403[16] > 0 && i3085[16] > 0 && i3085[16] < i4[16] && i3104[16] > 0 && i3085[16] + 1 > 0, java.lang.Object(ARRAY(i4[16], a30817data[16])), i3085[16], i71[16], i3104[16], java.lang.Object(java.lang.String(i3403[16])))
(17): COND_LOAD15508ARR5(TRUE, java.lang.Object(ARRAY(i4[17], a30817data[17])), i3085[17], i71[17], i3104[17], java.lang.Object(java.lang.String(i3403[17]))) → JMP17958'(java.lang.Object(ARRAY(i4[17], a30817data[17])), i3085[17] + 1, i71[17], i3104[17])
(18): JMP17958'(java.lang.Object(ARRAY(i4[18], a30817data[18])), i3158[18], i71[18], i3104[18]) → INC18057(java.lang.Object(ARRAY(i4[18], a30817data[18])), i3158[18], i71[18], i3104[18])
(19): LOAD15508(java.lang.Object(ARRAY(i4[19], a30817data[19])), i3085[19], i71[19], i3104[19]) → LOAD15508ARR6(java.lang.Object(ARRAY(i4[19], a30817data[19])), i3085[19], i71[19], i3104[19], java.lang.Object(java.lang.String(i3403[19])))
(20): LOAD15508ARR6(java.lang.Object(ARRAY(i4[20], a30817data[20])), i3085[20], i71[20], i3104[20], java.lang.Object(java.lang.String(i3403[20]))) → COND_LOAD15508ARR6(i3403[20] > 0 && i3085[20] > 0 && i3085[20] < i4[20] && i3104[20] > 0 && i3085[20] + 1 > 0, java.lang.Object(ARRAY(i4[20], a30817data[20])), i3085[20], i71[20], i3104[20], java.lang.Object(java.lang.String(i3403[20])))
(21): COND_LOAD15508ARR6(TRUE, java.lang.Object(ARRAY(i4[21], a30817data[21])), i3085[21], i71[21], i3104[21], java.lang.Object(java.lang.String(i3403[21]))) → INC18057(java.lang.Object(ARRAY(i4[21], a30817data[21])), i3085[21] + 1, i71[21], i3104[21])
(22): LOAD15508(java.lang.Object(ARRAY(i4[22], a30817data[22])), i3085[22], i71[22], i3104[22]) → LOAD15508ARR7(java.lang.Object(ARRAY(i4[22], a30817data[22])), i3085[22], i71[22], i3104[22], java.lang.Object(java.lang.String(i3404[22])))
(23): LOAD15508ARR7(java.lang.Object(ARRAY(i4[23], a30817data[23])), i3085[23], i71[23], i3104[23], java.lang.Object(java.lang.String(i3404[23]))) → COND_LOAD15508ARR7(i3404[23] <= 0 && i3085[23] > 0 && i3085[23] < i4[23] && i3104[23] > 0 && i3085[23] + 1 > 0, java.lang.Object(ARRAY(i4[23], a30817data[23])), i3085[23], i71[23], i3104[23], java.lang.Object(java.lang.String(i3404[23])))
(24): COND_LOAD15508ARR7(TRUE, java.lang.Object(ARRAY(i4[24], a30817data[24])), i3085[24], i71[24], i3104[24], java.lang.Object(java.lang.String(i3404[24]))) → INC18057(java.lang.Object(ARRAY(i4[24], a30817data[24])), i3085[24] + 1, i71[24], i3104[24])
(25): LOAD15508(java.lang.Object(ARRAY(i4[25], a30817data[25])), i3085[25], i71[25], i3104[25]) → LOAD15508ARR10(java.lang.Object(ARRAY(i4[25], a30817data[25])), i3085[25], i71[25], i3104[25], java.lang.Object(java.lang.String(i3404[25])))
(26): LOAD15508ARR10(java.lang.Object(ARRAY(i4[26], a30817data[26])), i3085[26], i71[26], i3104[26], java.lang.Object(java.lang.String(i3404[26]))) → COND_LOAD15508ARR10(i3404[26] <= 0 && i3085[26] > 0 && i3085[26] < i4[26] && i3104[26] > 0 && i3085[26] + 1 > 0, java.lang.Object(ARRAY(i4[26], a30817data[26])), i3085[26], i71[26], i3104[26], java.lang.Object(java.lang.String(i3404[26])))
(27): COND_LOAD15508ARR10(TRUE, java.lang.Object(ARRAY(i4[27], a30817data[27])), i3085[27], i71[27], i3104[27], java.lang.Object(java.lang.String(i3404[27]))) → JMP17958'(java.lang.Object(ARRAY(i4[27], a30817data[27])), i3085[27] + 1, i71[27], i3104[27])

(0) -> (1), if ((i65[0]* i65[1])∧(i71[0]* i71[1])∧(java.lang.Object(ARRAY(i4[0], a1938data[0])) →* java.lang.Object(ARRAY(i4[1], a1938data[1]))))


(1) -> (2), if ((i71[1]* i71[2])∧(i65[1]* i65[2])∧(java.lang.Object(ARRAY(i4[1], a1938data[1])) →* java.lang.Object(ARRAY(i4[2], a1938data[2])))∧(i65[1] > 0 && i65[1] < i4[1] && i71[1] > 0 && i65[1] + 1 > 0* TRUE))


(2) -> (0), if ((i65[2] + 1* i65[0])∧(java.lang.Object(ARRAY(i4[2], a1938data[2])) →* java.lang.Object(ARRAY(i4[0], a1938data[0])))∧(i71[2] + -1* i71[0]))


(2) -> (5), if ((java.lang.Object(ARRAY(i4[2], a1938data[2])) →* java.lang.Object(ARRAY(i4[5], a1938data[5])))∧(i65[2] + 1* i65[5])∧(i71[2] + -1* i71[5]))


(3) -> (4), if ((i3085[3]* i3085[4])∧(java.lang.Object(ARRAY(i4[3], a30817data[3])) →* java.lang.Object(ARRAY(i4[4], a30817data[4])))∧(i3105[3]* i3105[4])∧(i71[3]* i71[4])∧(i3105[3] <= 0 && i71[3] > 0* TRUE))


(4) -> (0), if ((i3085[4]* i65[0])∧(i71[4] + -1* i71[0])∧(java.lang.Object(ARRAY(i4[4], a30817data[4])) →* java.lang.Object(ARRAY(i4[0], a1938data[0]))))


(4) -> (5), if ((java.lang.Object(ARRAY(i4[4], a30817data[4])) →* java.lang.Object(ARRAY(i4[5], a1938data[5])))∧(i71[4] + -1* i71[5])∧(i3085[4]* i65[5]))


(5) -> (6), if ((i65[5]* i65[6])∧(i71[5]* i71[6])∧(java.lang.Object(ARRAY(i4[5], a1938data[5])) →* java.lang.Object(ARRAY(i4[6], a1938data[6])))∧(java.lang.Object(java.lang.String(i120[5])) →* java.lang.Object(java.lang.String(i120[6]))))


(6) -> (7), if ((!(i120[6] = 0) && i65[6] > 0 && i65[6] < i4[6] && i71[6] > 0 && i65[6] + 1 > 0* TRUE)∧(i65[6]* i65[7])∧(i71[6]* i71[7])∧(java.lang.Object(ARRAY(i4[6], a1938data[6])) →* java.lang.Object(ARRAY(i4[7], a1938data[7])))∧(java.lang.Object(java.lang.String(i120[6])) →* java.lang.Object(java.lang.String(i120[7]))))


(7) -> (3), if ((i120[7]* i3105[3])∧(java.lang.Object(ARRAY(i4[7], a1938data[7])) →* java.lang.Object(ARRAY(i4[3], a30817data[3])))∧(i65[7] + 1* i3085[3])∧(i71[7]* i71[3]))


(7) -> (9), if ((i71[7]* i71[9])∧(i65[7] + 1* i3085[9])∧(java.lang.Object(ARRAY(i4[7], a1938data[7])) →* java.lang.Object(ARRAY(i4[9], a30817data[9])))∧(i120[7]* i3104[9]))


(7) -> (12), if ((i65[7] + 1* i3085[12])∧(java.lang.Object(ARRAY(i4[7], a1938data[7])) →* java.lang.Object(ARRAY(i4[12], a30817data[12])))∧(i71[7]* i71[12])∧(i120[7]* i3104[12]))


(7) -> (15), if ((i71[7]* i71[15])∧(i65[7] + 1* i3085[15])∧(java.lang.Object(ARRAY(i4[7], a1938data[7])) →* java.lang.Object(ARRAY(i4[15], a30817data[15])))∧(i120[7]* i3104[15]))


(7) -> (19), if ((i71[7]* i71[19])∧(i65[7] + 1* i3085[19])∧(i120[7]* i3104[19])∧(java.lang.Object(ARRAY(i4[7], a1938data[7])) →* java.lang.Object(ARRAY(i4[19], a30817data[19]))))


(7) -> (22), if ((java.lang.Object(ARRAY(i4[7], a1938data[7])) →* java.lang.Object(ARRAY(i4[22], a30817data[22])))∧(i120[7]* i3104[22])∧(i65[7] + 1* i3085[22])∧(i71[7]* i71[22]))


(7) -> (25), if ((i65[7] + 1* i3085[25])∧(i71[7]* i71[25])∧(java.lang.Object(ARRAY(i4[7], a1938data[7])) →* java.lang.Object(ARRAY(i4[25], a30817data[25])))∧(i120[7]* i3104[25]))


(8) -> (3), if ((i71[8]* i71[3])∧(i3158[8]* i3085[3])∧(java.lang.Object(ARRAY(i4[8], a30817data[8])) →* java.lang.Object(ARRAY(i4[3], a30817data[3])))∧(i3104[8] + -1* i3105[3]))


(8) -> (9), if ((java.lang.Object(ARRAY(i4[8], a30817data[8])) →* java.lang.Object(ARRAY(i4[9], a30817data[9])))∧(i3158[8]* i3085[9])∧(i3104[8] + -1* i3104[9])∧(i71[8]* i71[9]))


(8) -> (12), if ((i71[8]* i71[12])∧(i3158[8]* i3085[12])∧(java.lang.Object(ARRAY(i4[8], a30817data[8])) →* java.lang.Object(ARRAY(i4[12], a30817data[12])))∧(i3104[8] + -1* i3104[12]))


(8) -> (15), if ((java.lang.Object(ARRAY(i4[8], a30817data[8])) →* java.lang.Object(ARRAY(i4[15], a30817data[15])))∧(i3158[8]* i3085[15])∧(i71[8]* i71[15])∧(i3104[8] + -1* i3104[15]))


(8) -> (19), if ((i3104[8] + -1* i3104[19])∧(i3158[8]* i3085[19])∧(java.lang.Object(ARRAY(i4[8], a30817data[8])) →* java.lang.Object(ARRAY(i4[19], a30817data[19])))∧(i71[8]* i71[19]))


(8) -> (22), if ((i3158[8]* i3085[22])∧(i3104[8] + -1* i3104[22])∧(i71[8]* i71[22])∧(java.lang.Object(ARRAY(i4[8], a30817data[8])) →* java.lang.Object(ARRAY(i4[22], a30817data[22]))))


(8) -> (25), if ((i71[8]* i71[25])∧(java.lang.Object(ARRAY(i4[8], a30817data[8])) →* java.lang.Object(ARRAY(i4[25], a30817data[25])))∧(i3158[8]* i3085[25])∧(i3104[8] + -1* i3104[25]))


(9) -> (10), if ((i3085[9]* i3085[10])∧(i3104[9]* i3104[10])∧(i71[9]* i71[10])∧(java.lang.Object(ARRAY(i4[9], a30817data[9])) →* java.lang.Object(ARRAY(i4[10], a30817data[10])))∧(java.lang.Object(java.lang.String(i3404[9])) →* java.lang.Object(java.lang.String(i3404[10]))))


(10) -> (11), if ((i3085[10]* i3085[11])∧(java.lang.Object(ARRAY(i4[10], a30817data[10])) →* java.lang.Object(ARRAY(i4[11], a30817data[11])))∧(i3404[10] <= 0 && i3085[10] > 0 && i3085[10] < i4[10] && i3104[10] > 0 && i3085[10] + 1 > 0* TRUE)∧(java.lang.Object(java.lang.String(i3404[10])) →* java.lang.Object(java.lang.String(i3404[11])))∧(i3104[10]* i3104[11])∧(i71[10]* i71[11]))


(11) -> (3), if ((java.lang.Object(ARRAY(i4[11], a30817data[11])) →* java.lang.Object(ARRAY(i4[3], a30817data[3])))∧(i3085[11] + 1* i3085[3])∧(i3104[11] + -1* i3105[3])∧(i71[11]* i71[3]))


(11) -> (9), if ((i71[11]* i71[9])∧(java.lang.Object(ARRAY(i4[11], a30817data[11])) →* java.lang.Object(ARRAY(i4[9], a30817data[9])))∧(i3085[11] + 1* i3085[9])∧(i3104[11] + -1* i3104[9]))


(11) -> (12), if ((i71[11]* i71[12])∧(i3085[11] + 1* i3085[12])∧(java.lang.Object(ARRAY(i4[11], a30817data[11])) →* java.lang.Object(ARRAY(i4[12], a30817data[12])))∧(i3104[11] + -1* i3104[12]))


(11) -> (15), if ((java.lang.Object(ARRAY(i4[11], a30817data[11])) →* java.lang.Object(ARRAY(i4[15], a30817data[15])))∧(i3085[11] + 1* i3085[15])∧(i3104[11] + -1* i3104[15])∧(i71[11]* i71[15]))


(11) -> (19), if ((i3085[11] + 1* i3085[19])∧(java.lang.Object(ARRAY(i4[11], a30817data[11])) →* java.lang.Object(ARRAY(i4[19], a30817data[19])))∧(i71[11]* i71[19])∧(i3104[11] + -1* i3104[19]))


(11) -> (22), if ((java.lang.Object(ARRAY(i4[11], a30817data[11])) →* java.lang.Object(ARRAY(i4[22], a30817data[22])))∧(i3085[11] + 1* i3085[22])∧(i71[11]* i71[22])∧(i3104[11] + -1* i3104[22]))


(11) -> (25), if ((i3085[11] + 1* i3085[25])∧(i3104[11] + -1* i3104[25])∧(java.lang.Object(ARRAY(i4[11], a30817data[11])) →* java.lang.Object(ARRAY(i4[25], a30817data[25])))∧(i71[11]* i71[25]))


(12) -> (13), if ((java.lang.Object(java.lang.String(i3403[12])) →* java.lang.Object(java.lang.String(i3403[13])))∧(i3085[12]* i3085[13])∧(i71[12]* i71[13])∧(i3104[12]* i3104[13])∧(java.lang.Object(ARRAY(i4[12], a30817data[12])) →* java.lang.Object(ARRAY(i4[13], a30817data[13]))))


(13) -> (14), if ((i71[13]* i71[14])∧(i3403[13] > 0 && i3085[13] > 0 && i3085[13] < i4[13] && i3104[13] > 0 && i3085[13] + 1 > 0* TRUE)∧(i3104[13]* i3104[14])∧(java.lang.Object(java.lang.String(i3403[13])) →* java.lang.Object(java.lang.String(i3403[14])))∧(i3085[13]* i3085[14])∧(java.lang.Object(ARRAY(i4[13], a30817data[13])) →* java.lang.Object(ARRAY(i4[14], a30817data[14]))))


(14) -> (3), if ((i3104[14] + -1* i3105[3])∧(java.lang.Object(ARRAY(i4[14], a30817data[14])) →* java.lang.Object(ARRAY(i4[3], a30817data[3])))∧(i3085[14] + 1* i3085[3])∧(i71[14]* i71[3]))


(14) -> (9), if ((i71[14]* i71[9])∧(i3085[14] + 1* i3085[9])∧(i3104[14] + -1* i3104[9])∧(java.lang.Object(ARRAY(i4[14], a30817data[14])) →* java.lang.Object(ARRAY(i4[9], a30817data[9]))))


(14) -> (12), if ((java.lang.Object(ARRAY(i4[14], a30817data[14])) →* java.lang.Object(ARRAY(i4[12], a30817data[12])))∧(i3104[14] + -1* i3104[12])∧(i71[14]* i71[12])∧(i3085[14] + 1* i3085[12]))


(14) -> (15), if ((i3104[14] + -1* i3104[15])∧(i71[14]* i71[15])∧(i3085[14] + 1* i3085[15])∧(java.lang.Object(ARRAY(i4[14], a30817data[14])) →* java.lang.Object(ARRAY(i4[15], a30817data[15]))))


(14) -> (19), if ((i3085[14] + 1* i3085[19])∧(i71[14]* i71[19])∧(i3104[14] + -1* i3104[19])∧(java.lang.Object(ARRAY(i4[14], a30817data[14])) →* java.lang.Object(ARRAY(i4[19], a30817data[19]))))


(14) -> (22), if ((i71[14]* i71[22])∧(java.lang.Object(ARRAY(i4[14], a30817data[14])) →* java.lang.Object(ARRAY(i4[22], a30817data[22])))∧(i3104[14] + -1* i3104[22])∧(i3085[14] + 1* i3085[22]))


(14) -> (25), if ((java.lang.Object(ARRAY(i4[14], a30817data[14])) →* java.lang.Object(ARRAY(i4[25], a30817data[25])))∧(i3104[14] + -1* i3104[25])∧(i71[14]* i71[25])∧(i3085[14] + 1* i3085[25]))


(15) -> (16), if ((i3085[15]* i3085[16])∧(i71[15]* i71[16])∧(i3104[15]* i3104[16])∧(java.lang.Object(java.lang.String(i3403[15])) →* java.lang.Object(java.lang.String(i3403[16])))∧(java.lang.Object(ARRAY(i4[15], a30817data[15])) →* java.lang.Object(ARRAY(i4[16], a30817data[16]))))


(16) -> (17), if ((i3104[16]* i3104[17])∧(java.lang.Object(ARRAY(i4[16], a30817data[16])) →* java.lang.Object(ARRAY(i4[17], a30817data[17])))∧(java.lang.Object(java.lang.String(i3403[16])) →* java.lang.Object(java.lang.String(i3403[17])))∧(i3085[16]* i3085[17])∧(i3403[16] > 0 && i3085[16] > 0 && i3085[16] < i4[16] && i3104[16] > 0 && i3085[16] + 1 > 0* TRUE)∧(i71[16]* i71[17]))


(17) -> (18), if ((i3104[17]* i3104[18])∧(java.lang.Object(ARRAY(i4[17], a30817data[17])) →* java.lang.Object(ARRAY(i4[18], a30817data[18])))∧(i3085[17] + 1* i3158[18])∧(i71[17]* i71[18]))


(18) -> (8), if ((java.lang.Object(ARRAY(i4[18], a30817data[18])) →* java.lang.Object(ARRAY(i4[8], a30817data[8])))∧(i71[18]* i71[8])∧(i3104[18]* i3104[8])∧(i3158[18]* i3158[8]))


(19) -> (20), if ((i3085[19]* i3085[20])∧(java.lang.Object(java.lang.String(i3403[19])) →* java.lang.Object(java.lang.String(i3403[20])))∧(i3104[19]* i3104[20])∧(java.lang.Object(ARRAY(i4[19], a30817data[19])) →* java.lang.Object(ARRAY(i4[20], a30817data[20])))∧(i71[19]* i71[20]))


(20) -> (21), if ((i3403[20] > 0 && i3085[20] > 0 && i3085[20] < i4[20] && i3104[20] > 0 && i3085[20] + 1 > 0* TRUE)∧(i3104[20]* i3104[21])∧(i71[20]* i71[21])∧(java.lang.Object(java.lang.String(i3403[20])) →* java.lang.Object(java.lang.String(i3403[21])))∧(java.lang.Object(ARRAY(i4[20], a30817data[20])) →* java.lang.Object(ARRAY(i4[21], a30817data[21])))∧(i3085[20]* i3085[21]))


(21) -> (8), if ((i3104[21]* i3104[8])∧(java.lang.Object(ARRAY(i4[21], a30817data[21])) →* java.lang.Object(ARRAY(i4[8], a30817data[8])))∧(i3085[21] + 1* i3158[8])∧(i71[21]* i71[8]))


(22) -> (23), if ((java.lang.Object(java.lang.String(i3404[22])) →* java.lang.Object(java.lang.String(i3404[23])))∧(i3104[22]* i3104[23])∧(i3085[22]* i3085[23])∧(i71[22]* i71[23])∧(java.lang.Object(ARRAY(i4[22], a30817data[22])) →* java.lang.Object(ARRAY(i4[23], a30817data[23]))))


(23) -> (24), if ((i3085[23]* i3085[24])∧(i3104[23]* i3104[24])∧(java.lang.Object(java.lang.String(i3404[23])) →* java.lang.Object(java.lang.String(i3404[24])))∧(i71[23]* i71[24])∧(java.lang.Object(ARRAY(i4[23], a30817data[23])) →* java.lang.Object(ARRAY(i4[24], a30817data[24])))∧(i3404[23] <= 0 && i3085[23] > 0 && i3085[23] < i4[23] && i3104[23] > 0 && i3085[23] + 1 > 0* TRUE))


(24) -> (8), if ((i3104[24]* i3104[8])∧(i71[24]* i71[8])∧(i3085[24] + 1* i3158[8])∧(java.lang.Object(ARRAY(i4[24], a30817data[24])) →* java.lang.Object(ARRAY(i4[8], a30817data[8]))))


(25) -> (26), if ((i71[25]* i71[26])∧(java.lang.Object(java.lang.String(i3404[25])) →* java.lang.Object(java.lang.String(i3404[26])))∧(i3104[25]* i3104[26])∧(i3085[25]* i3085[26])∧(java.lang.Object(ARRAY(i4[25], a30817data[25])) →* java.lang.Object(ARRAY(i4[26], a30817data[26]))))


(26) -> (27), if ((i3104[26]* i3104[27])∧(i3085[26]* i3085[27])∧(java.lang.Object(ARRAY(i4[26], a30817data[26])) →* java.lang.Object(ARRAY(i4[27], a30817data[27])))∧(i71[26]* i71[27])∧(java.lang.Object(java.lang.String(i3404[26])) →* java.lang.Object(java.lang.String(i3404[27])))∧(i3404[26] <= 0 && i3085[26] > 0 && i3085[26] < i4[26] && i3104[26] > 0 && i3085[26] + 1 > 0* TRUE))


(27) -> (18), if ((java.lang.Object(ARRAY(i4[27], a30817data[27])) →* java.lang.Object(ARRAY(i4[18], a30817data[18])))∧(i3104[27]* i3104[18])∧(i71[27]* i71[18])∧(i3085[27] + 1* i3158[18]))



The set Q consists of the following terms:
Load1577(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load1577ARR1(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Cond_Load1577ARR1(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load15508(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4)
Cond_Load15508(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4)
Load1577ARR2(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load1577ARR2(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Inc18057(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4)
Load15508ARR3(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Cond_Load15508ARR3(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Load15508ARR4(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Cond_Load15508ARR4(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Load15508ARR5(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Cond_Load15508ARR5(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
JMP17958(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4)
Load15508ARR6(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Cond_Load15508ARR6(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Load15508ARR7(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Cond_Load15508ARR7(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Load15508ARR10(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Cond_Load15508ARR10(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))

(25) ItpfGraphProof (EQUIVALENT transformation)

Applied rule ItpfICap [ICap]

(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


R is empty.

The integer pair graph contains the following rules and edges:
(0): LOAD1577(java.lang.Object(ARRAY(i4[0], a1938data[0])), i65[0], i71[0]) → LOAD1577ARR1(java.lang.Object(ARRAY(i4[0], a1938data[0])), i65[0], i71[0])
(1): LOAD1577ARR1(java.lang.Object(ARRAY(i4[1], a1938data[1])), i65[1], i71[1]) → COND_LOAD1577ARR1(i65[1] > 0 && i65[1] < i4[1] && i71[1] > 0 && i65[1] + 1 > 0, java.lang.Object(ARRAY(i4[1], a1938data[1])), i65[1], i71[1])
(2): COND_LOAD1577ARR1(TRUE, java.lang.Object(ARRAY(i4[2], a1938data[2])), i65[2], i71[2]) → LOAD1577(java.lang.Object(ARRAY(i4[2], a1938data[2])), i65[2] + 1, i71[2] + -1)
(3): LOAD15508(java.lang.Object(ARRAY(i4[3], a30817data[3])), i3085[3], i71[3], i3105[3]) → COND_LOAD15508(i3105[3] <= 0 && i71[3] > 0, java.lang.Object(ARRAY(i4[3], a30817data[3])), i3085[3], i71[3], i3105[3])
(4): COND_LOAD15508(TRUE, java.lang.Object(ARRAY(i4[4], a30817data[4])), i3085[4], i71[4], i3105[4]) → LOAD1577(java.lang.Object(ARRAY(i4[4], a30817data[4])), i3085[4], i71[4] + -1)
(5): LOAD1577(java.lang.Object(ARRAY(i4[5], a1938data[5])), i65[5], i71[5]) → LOAD1577ARR2(java.lang.Object(ARRAY(i4[5], a1938data[5])), i65[5], i71[5], java.lang.Object(java.lang.String(i120[5])))
(6): LOAD1577ARR2(java.lang.Object(ARRAY(i4[6], a1938data[6])), i65[6], i71[6], java.lang.Object(java.lang.String(i120[6]))) → COND_LOAD1577ARR2(!(i120[6] = 0) && i65[6] > 0 && i65[6] < i4[6] && i71[6] > 0 && i65[6] + 1 > 0, java.lang.Object(ARRAY(i4[6], a1938data[6])), i65[6], i71[6], java.lang.Object(java.lang.String(i120[6])))
(7): COND_LOAD1577ARR2(TRUE, java.lang.Object(ARRAY(i4[7], a1938data[7])), i65[7], i71[7], java.lang.Object(java.lang.String(i120[7]))) → LOAD15508(java.lang.Object(ARRAY(i4[7], a1938data[7])), i65[7] + 1, i71[7], i120[7])
(8): INC18057(java.lang.Object(ARRAY(i4[8], a30817data[8])), i3158[8], i71[8], i3104[8]) → LOAD15508(java.lang.Object(ARRAY(i4[8], a30817data[8])), i3158[8], i71[8], i3104[8] + -1)
(9): LOAD15508(java.lang.Object(ARRAY(i4[9], a30817data[9])), i3085[9], i71[9], i3104[9]) → LOAD15508ARR3(java.lang.Object(ARRAY(i4[9], a30817data[9])), i3085[9], i71[9], i3104[9], java.lang.Object(java.lang.String(i3404[9])))
(10): LOAD15508ARR3(java.lang.Object(ARRAY(i4[10], a30817data[10])), i3085[10], i71[10], i3104[10], java.lang.Object(java.lang.String(i3404[10]))) → COND_LOAD15508ARR3(i3404[10] <= 0 && i3085[10] > 0 && i3085[10] < i4[10] && i3104[10] > 0 && i3085[10] + 1 > 0, java.lang.Object(ARRAY(i4[10], a30817data[10])), i3085[10], i71[10], i3104[10], java.lang.Object(java.lang.String(i3404[10])))
(11): COND_LOAD15508ARR3(TRUE, java.lang.Object(ARRAY(i4[11], a30817data[11])), i3085[11], i71[11], i3104[11], java.lang.Object(java.lang.String(i3404[11]))) → LOAD15508(java.lang.Object(ARRAY(i4[11], a30817data[11])), i3085[11] + 1, i71[11], i3104[11] + -1)
(12): LOAD15508(java.lang.Object(ARRAY(i4[12], a30817data[12])), i3085[12], i71[12], i3104[12]) → LOAD15508ARR4(java.lang.Object(ARRAY(i4[12], a30817data[12])), i3085[12], i71[12], i3104[12], java.lang.Object(java.lang.String(i3403[12])))
(13): LOAD15508ARR4(java.lang.Object(ARRAY(i4[13], a30817data[13])), i3085[13], i71[13], i3104[13], java.lang.Object(java.lang.String(i3403[13]))) → COND_LOAD15508ARR4(i3403[13] > 0 && i3085[13] > 0 && i3085[13] < i4[13] && i3104[13] > 0 && i3085[13] + 1 > 0, java.lang.Object(ARRAY(i4[13], a30817data[13])), i3085[13], i71[13], i3104[13], java.lang.Object(java.lang.String(i3403[13])))
(14): COND_LOAD15508ARR4(TRUE, java.lang.Object(ARRAY(i4[14], a30817data[14])), i3085[14], i71[14], i3104[14], java.lang.Object(java.lang.String(i3403[14]))) → LOAD15508(java.lang.Object(ARRAY(i4[14], a30817data[14])), i3085[14] + 1, i71[14], i3104[14] + -1)
(15): LOAD15508(java.lang.Object(ARRAY(i4[15], a30817data[15])), i3085[15], i71[15], i3104[15]) → LOAD15508ARR5(java.lang.Object(ARRAY(i4[15], a30817data[15])), i3085[15], i71[15], i3104[15], java.lang.Object(java.lang.String(i3403[15])))
(16): LOAD15508ARR5(java.lang.Object(ARRAY(i4[16], a30817data[16])), i3085[16], i71[16], i3104[16], java.lang.Object(java.lang.String(i3403[16]))) → COND_LOAD15508ARR5(i3403[16] > 0 && i3085[16] > 0 && i3085[16] < i4[16] && i3104[16] > 0 && i3085[16] + 1 > 0, java.lang.Object(ARRAY(i4[16], a30817data[16])), i3085[16], i71[16], i3104[16], java.lang.Object(java.lang.String(i3403[16])))
(17): COND_LOAD15508ARR5(TRUE, java.lang.Object(ARRAY(i4[17], a30817data[17])), i3085[17], i71[17], i3104[17], java.lang.Object(java.lang.String(i3403[17]))) → JMP17958'(java.lang.Object(ARRAY(i4[17], a30817data[17])), i3085[17] + 1, i71[17], i3104[17])
(18): JMP17958'(java.lang.Object(ARRAY(i4[18], a30817data[18])), i3158[18], i71[18], i3104[18]) → INC18057(java.lang.Object(ARRAY(i4[18], a30817data[18])), i3158[18], i71[18], i3104[18])
(19): LOAD15508(java.lang.Object(ARRAY(i4[19], a30817data[19])), i3085[19], i71[19], i3104[19]) → LOAD15508ARR6(java.lang.Object(ARRAY(i4[19], a30817data[19])), i3085[19], i71[19], i3104[19], java.lang.Object(java.lang.String(i3403[19])))
(20): LOAD15508ARR6(java.lang.Object(ARRAY(i4[20], a30817data[20])), i3085[20], i71[20], i3104[20], java.lang.Object(java.lang.String(i3403[20]))) → COND_LOAD15508ARR6(i3403[20] > 0 && i3085[20] > 0 && i3085[20] < i4[20] && i3104[20] > 0 && i3085[20] + 1 > 0, java.lang.Object(ARRAY(i4[20], a30817data[20])), i3085[20], i71[20], i3104[20], java.lang.Object(java.lang.String(i3403[20])))
(21): COND_LOAD15508ARR6(TRUE, java.lang.Object(ARRAY(i4[21], a30817data[21])), i3085[21], i71[21], i3104[21], java.lang.Object(java.lang.String(i3403[21]))) → INC18057(java.lang.Object(ARRAY(i4[21], a30817data[21])), i3085[21] + 1, i71[21], i3104[21])
(22): LOAD15508(java.lang.Object(ARRAY(i4[22], a30817data[22])), i3085[22], i71[22], i3104[22]) → LOAD15508ARR7(java.lang.Object(ARRAY(i4[22], a30817data[22])), i3085[22], i71[22], i3104[22], java.lang.Object(java.lang.String(i3404[22])))
(23): LOAD15508ARR7(java.lang.Object(ARRAY(i4[23], a30817data[23])), i3085[23], i71[23], i3104[23], java.lang.Object(java.lang.String(i3404[23]))) → COND_LOAD15508ARR7(i3404[23] <= 0 && i3085[23] > 0 && i3085[23] < i4[23] && i3104[23] > 0 && i3085[23] + 1 > 0, java.lang.Object(ARRAY(i4[23], a30817data[23])), i3085[23], i71[23], i3104[23], java.lang.Object(java.lang.String(i3404[23])))
(24): COND_LOAD15508ARR7(TRUE, java.lang.Object(ARRAY(i4[24], a30817data[24])), i3085[24], i71[24], i3104[24], java.lang.Object(java.lang.String(i3404[24]))) → INC18057(java.lang.Object(ARRAY(i4[24], a30817data[24])), i3085[24] + 1, i71[24], i3104[24])
(25): LOAD15508(java.lang.Object(ARRAY(i4[25], a30817data[25])), i3085[25], i71[25], i3104[25]) → LOAD15508ARR10(java.lang.Object(ARRAY(i4[25], a30817data[25])), i3085[25], i71[25], i3104[25], java.lang.Object(java.lang.String(i3404[25])))
(26): LOAD15508ARR10(java.lang.Object(ARRAY(i4[26], a30817data[26])), i3085[26], i71[26], i3104[26], java.lang.Object(java.lang.String(i3404[26]))) → COND_LOAD15508ARR10(i3404[26] <= 0 && i3085[26] > 0 && i3085[26] < i4[26] && i3104[26] > 0 && i3085[26] + 1 > 0, java.lang.Object(ARRAY(i4[26], a30817data[26])), i3085[26], i71[26], i3104[26], java.lang.Object(java.lang.String(i3404[26])))
(27): COND_LOAD15508ARR10(TRUE, java.lang.Object(ARRAY(i4[27], a30817data[27])), i3085[27], i71[27], i3104[27], java.lang.Object(java.lang.String(i3404[27]))) → JMP17958'(java.lang.Object(ARRAY(i4[27], a30817data[27])), i3085[27] + 1, i71[27], i3104[27])

(0) -> (1), if ((i65[0]* i65[1])∧(i71[0]* i71[1])∧((i4[0]* i4[1])∧(a1938data[0]* a1938data[1])))


(1) -> (2), if ((i71[1]* i71[2])∧(i65[1]* i65[2])∧((i4[1]* i4[2])∧(a1938data[1]* a1938data[2]))∧(i65[1] > 0 && i65[1] < i4[1] && i71[1] > 0 && i65[1] + 1 > 0* TRUE))


(2) -> (0), if ((i65[2] + 1* i65[0])∧((i4[2]* i4[0])∧(a1938data[2]* a1938data[0]))∧(i71[2] + -1* i71[0]))


(2) -> (5), if (((i4[2]* i4[5])∧(a1938data[2]* a1938data[5]))∧(i65[2] + 1* i65[5])∧(i71[2] + -1* i71[5]))


(3) -> (4), if ((i3085[3]* i3085[4])∧((i4[3]* i4[4])∧(a30817data[3]* a30817data[4]))∧(i3105[3]* i3105[4])∧(i71[3]* i71[4])∧(i3105[3] <= 0 && i71[3] > 0* TRUE))


(4) -> (0), if ((i3085[4]* i65[0])∧(i71[4] + -1* i71[0])∧((i4[4]* i4[0])∧(a30817data[4]* a1938data[0])))


(4) -> (5), if (((i4[4]* i4[5])∧(a30817data[4]* a1938data[5]))∧(i71[4] + -1* i71[5])∧(i3085[4]* i65[5]))


(5) -> (6), if ((i65[5]* i65[6])∧(i71[5]* i71[6])∧((i4[5]* i4[6])∧(a1938data[5]* a1938data[6]))∧((i120[5]* i120[6])))


(6) -> (7), if ((!(i120[6] = 0) && i65[6] > 0 && i65[6] < i4[6] && i71[6] > 0 && i65[6] + 1 > 0* TRUE)∧(i65[6]* i65[7])∧(i71[6]* i71[7])∧((i4[6]* i4[7])∧(a1938data[6]* a1938data[7]))∧((i120[6]* i120[7])))


(7) -> (3), if ((i120[7]* i3105[3])∧((i4[7]* i4[3])∧(a1938data[7]* a30817data[3]))∧(i65[7] + 1* i3085[3])∧(i71[7]* i71[3]))


(7) -> (9), if ((i71[7]* i71[9])∧(i65[7] + 1* i3085[9])∧((i4[7]* i4[9])∧(a1938data[7]* a30817data[9]))∧(i120[7]* i3104[9]))


(7) -> (12), if ((i65[7] + 1* i3085[12])∧((i4[7]* i4[12])∧(a1938data[7]* a30817data[12]))∧(i71[7]* i71[12])∧(i120[7]* i3104[12]))


(7) -> (15), if ((i71[7]* i71[15])∧(i65[7] + 1* i3085[15])∧((i4[7]* i4[15])∧(a1938data[7]* a30817data[15]))∧(i120[7]* i3104[15]))


(7) -> (19), if ((i71[7]* i71[19])∧(i65[7] + 1* i3085[19])∧(i120[7]* i3104[19])∧((i4[7]* i4[19])∧(a1938data[7]* a30817data[19])))


(7) -> (22), if (((i4[7]* i4[22])∧(a1938data[7]* a30817data[22]))∧(i120[7]* i3104[22])∧(i65[7] + 1* i3085[22])∧(i71[7]* i71[22]))


(7) -> (25), if ((i65[7] + 1* i3085[25])∧(i71[7]* i71[25])∧((i4[7]* i4[25])∧(a1938data[7]* a30817data[25]))∧(i120[7]* i3104[25]))


(8) -> (3), if ((i71[8]* i71[3])∧(i3158[8]* i3085[3])∧((i4[8]* i4[3])∧(a30817data[8]* a30817data[3]))∧(i3104[8] + -1* i3105[3]))


(8) -> (9), if (((i4[8]* i4[9])∧(a30817data[8]* a30817data[9]))∧(i3158[8]* i3085[9])∧(i3104[8] + -1* i3104[9])∧(i71[8]* i71[9]))


(8) -> (12), if ((i71[8]* i71[12])∧(i3158[8]* i3085[12])∧((i4[8]* i4[12])∧(a30817data[8]* a30817data[12]))∧(i3104[8] + -1* i3104[12]))


(8) -> (15), if (((i4[8]* i4[15])∧(a30817data[8]* a30817data[15]))∧(i3158[8]* i3085[15])∧(i71[8]* i71[15])∧(i3104[8] + -1* i3104[15]))


(8) -> (19), if ((i3104[8] + -1* i3104[19])∧(i3158[8]* i3085[19])∧((i4[8]* i4[19])∧(a30817data[8]* a30817data[19]))∧(i71[8]* i71[19]))


(8) -> (22), if ((i3158[8]* i3085[22])∧(i3104[8] + -1* i3104[22])∧(i71[8]* i71[22])∧((i4[8]* i4[22])∧(a30817data[8]* a30817data[22])))


(8) -> (25), if ((i71[8]* i71[25])∧((i4[8]* i4[25])∧(a30817data[8]* a30817data[25]))∧(i3158[8]* i3085[25])∧(i3104[8] + -1* i3104[25]))


(9) -> (10), if ((i3085[9]* i3085[10])∧(i3104[9]* i3104[10])∧(i71[9]* i71[10])∧((i4[9]* i4[10])∧(a30817data[9]* a30817data[10]))∧((i3404[9]* i3404[10])))


(10) -> (11), if ((i3085[10]* i3085[11])∧((i4[10]* i4[11])∧(a30817data[10]* a30817data[11]))∧(i3404[10] <= 0 && i3085[10] > 0 && i3085[10] < i4[10] && i3104[10] > 0 && i3085[10] + 1 > 0* TRUE)∧((i3404[10]* i3404[11]))∧(i3104[10]* i3104[11])∧(i71[10]* i71[11]))


(11) -> (3), if (((i4[11]* i4[3])∧(a30817data[11]* a30817data[3]))∧(i3085[11] + 1* i3085[3])∧(i3104[11] + -1* i3105[3])∧(i71[11]* i71[3]))


(11) -> (9), if ((i71[11]* i71[9])∧((i4[11]* i4[9])∧(a30817data[11]* a30817data[9]))∧(i3085[11] + 1* i3085[9])∧(i3104[11] + -1* i3104[9]))


(11) -> (12), if ((i71[11]* i71[12])∧(i3085[11] + 1* i3085[12])∧((i4[11]* i4[12])∧(a30817data[11]* a30817data[12]))∧(i3104[11] + -1* i3104[12]))


(11) -> (15), if (((i4[11]* i4[15])∧(a30817data[11]* a30817data[15]))∧(i3085[11] + 1* i3085[15])∧(i3104[11] + -1* i3104[15])∧(i71[11]* i71[15]))


(11) -> (19), if ((i3085[11] + 1* i3085[19])∧((i4[11]* i4[19])∧(a30817data[11]* a30817data[19]))∧(i71[11]* i71[19])∧(i3104[11] + -1* i3104[19]))


(11) -> (22), if (((i4[11]* i4[22])∧(a30817data[11]* a30817data[22]))∧(i3085[11] + 1* i3085[22])∧(i71[11]* i71[22])∧(i3104[11] + -1* i3104[22]))


(11) -> (25), if ((i3085[11] + 1* i3085[25])∧(i3104[11] + -1* i3104[25])∧((i4[11]* i4[25])∧(a30817data[11]* a30817data[25]))∧(i71[11]* i71[25]))


(12) -> (13), if (((i3403[12]* i3403[13]))∧(i3085[12]* i3085[13])∧(i71[12]* i71[13])∧(i3104[12]* i3104[13])∧((i4[12]* i4[13])∧(a30817data[12]* a30817data[13])))


(13) -> (14), if ((i71[13]* i71[14])∧(i3403[13] > 0 && i3085[13] > 0 && i3085[13] < i4[13] && i3104[13] > 0 && i3085[13] + 1 > 0* TRUE)∧(i3104[13]* i3104[14])∧((i3403[13]* i3403[14]))∧(i3085[13]* i3085[14])∧((i4[13]* i4[14])∧(a30817data[13]* a30817data[14])))


(14) -> (3), if ((i3104[14] + -1* i3105[3])∧((i4[14]* i4[3])∧(a30817data[14]* a30817data[3]))∧(i3085[14] + 1* i3085[3])∧(i71[14]* i71[3]))


(14) -> (9), if ((i71[14]* i71[9])∧(i3085[14] + 1* i3085[9])∧(i3104[14] + -1* i3104[9])∧((i4[14]* i4[9])∧(a30817data[14]* a30817data[9])))


(14) -> (12), if (((i4[14]* i4[12])∧(a30817data[14]* a30817data[12]))∧(i3104[14] + -1* i3104[12])∧(i71[14]* i71[12])∧(i3085[14] + 1* i3085[12]))


(14) -> (15), if ((i3104[14] + -1* i3104[15])∧(i71[14]* i71[15])∧(i3085[14] + 1* i3085[15])∧((i4[14]* i4[15])∧(a30817data[14]* a30817data[15])))


(14) -> (19), if ((i3085[14] + 1* i3085[19])∧(i71[14]* i71[19])∧(i3104[14] + -1* i3104[19])∧((i4[14]* i4[19])∧(a30817data[14]* a30817data[19])))


(14) -> (22), if ((i71[14]* i71[22])∧((i4[14]* i4[22])∧(a30817data[14]* a30817data[22]))∧(i3104[14] + -1* i3104[22])∧(i3085[14] + 1* i3085[22]))


(14) -> (25), if (((i4[14]* i4[25])∧(a30817data[14]* a30817data[25]))∧(i3104[14] + -1* i3104[25])∧(i71[14]* i71[25])∧(i3085[14] + 1* i3085[25]))


(15) -> (16), if ((i3085[15]* i3085[16])∧(i71[15]* i71[16])∧(i3104[15]* i3104[16])∧((i3403[15]* i3403[16]))∧((i4[15]* i4[16])∧(a30817data[15]* a30817data[16])))


(16) -> (17), if ((i3104[16]* i3104[17])∧((i4[16]* i4[17])∧(a30817data[16]* a30817data[17]))∧((i3403[16]* i3403[17]))∧(i3085[16]* i3085[17])∧(i3403[16] > 0 && i3085[16] > 0 && i3085[16] < i4[16] && i3104[16] > 0 && i3085[16] + 1 > 0* TRUE)∧(i71[16]* i71[17]))


(17) -> (18), if ((i3104[17]* i3104[18])∧((i4[17]* i4[18])∧(a30817data[17]* a30817data[18]))∧(i3085[17] + 1* i3158[18])∧(i71[17]* i71[18]))


(18) -> (8), if (((i4[18]* i4[8])∧(a30817data[18]* a30817data[8]))∧(i71[18]* i71[8])∧(i3104[18]* i3104[8])∧(i3158[18]* i3158[8]))


(19) -> (20), if ((i3085[19]* i3085[20])∧((i3403[19]* i3403[20]))∧(i3104[19]* i3104[20])∧((i4[19]* i4[20])∧(a30817data[19]* a30817data[20]))∧(i71[19]* i71[20]))


(20) -> (21), if ((i3403[20] > 0 && i3085[20] > 0 && i3085[20] < i4[20] && i3104[20] > 0 && i3085[20] + 1 > 0* TRUE)∧(i3104[20]* i3104[21])∧(i71[20]* i71[21])∧((i3403[20]* i3403[21]))∧((i4[20]* i4[21])∧(a30817data[20]* a30817data[21]))∧(i3085[20]* i3085[21]))


(21) -> (8), if ((i3104[21]* i3104[8])∧((i4[21]* i4[8])∧(a30817data[21]* a30817data[8]))∧(i3085[21] + 1* i3158[8])∧(i71[21]* i71[8]))


(22) -> (23), if (((i3404[22]* i3404[23]))∧(i3104[22]* i3104[23])∧(i3085[22]* i3085[23])∧(i71[22]* i71[23])∧((i4[22]* i4[23])∧(a30817data[22]* a30817data[23])))


(23) -> (24), if ((i3085[23]* i3085[24])∧(i3104[23]* i3104[24])∧((i3404[23]* i3404[24]))∧(i71[23]* i71[24])∧((i4[23]* i4[24])∧(a30817data[23]* a30817data[24]))∧(i3404[23] <= 0 && i3085[23] > 0 && i3085[23] < i4[23] && i3104[23] > 0 && i3085[23] + 1 > 0* TRUE))


(24) -> (8), if ((i3104[24]* i3104[8])∧(i71[24]* i71[8])∧(i3085[24] + 1* i3158[8])∧((i4[24]* i4[8])∧(a30817data[24]* a30817data[8])))


(25) -> (26), if ((i71[25]* i71[26])∧((i3404[25]* i3404[26]))∧(i3104[25]* i3104[26])∧(i3085[25]* i3085[26])∧((i4[25]* i4[26])∧(a30817data[25]* a30817data[26])))


(26) -> (27), if ((i3104[26]* i3104[27])∧(i3085[26]* i3085[27])∧((i4[26]* i4[27])∧(a30817data[26]* a30817data[27]))∧(i71[26]* i71[27])∧((i3404[26]* i3404[27]))∧(i3404[26] <= 0 && i3085[26] > 0 && i3085[26] < i4[26] && i3104[26] > 0 && i3085[26] + 1 > 0* TRUE))


(27) -> (18), if (((i4[27]* i4[18])∧(a30817data[27]* a30817data[18]))∧(i3104[27]* i3104[18])∧(i71[27]* i71[18])∧(i3085[27] + 1* i3158[18]))



The set Q consists of the following terms:
Load1577(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load1577ARR1(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Cond_Load1577ARR1(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load15508(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4)
Cond_Load15508(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4)
Load1577ARR2(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load1577ARR2(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Inc18057(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4)
Load15508ARR3(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Cond_Load15508ARR3(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Load15508ARR4(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Cond_Load15508ARR4(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Load15508ARR5(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Cond_Load15508ARR5(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
JMP17958(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4)
Load15508ARR6(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Cond_Load15508ARR6(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Load15508ARR7(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Cond_Load15508ARR7(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Load15508ARR10(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Cond_Load15508ARR10(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))

(27) 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 LOAD1577(java.lang.Object(ARRAY(i4, a1938data)), i65, i71) → LOAD1577ARR1(java.lang.Object(ARRAY(i4, a1938data)), i65, i71) the following chains were created:
  • We consider the chain LOAD1577(java.lang.Object(ARRAY(i4[0], a1938data[0])), i65[0], i71[0]) → LOAD1577ARR1(java.lang.Object(ARRAY(i4[0], a1938data[0])), i65[0], i71[0]), LOAD1577ARR1(java.lang.Object(ARRAY(i4[1], a1938data[1])), i65[1], i71[1]) → COND_LOAD1577ARR1(&&(&&(&&(>(i65[1], 0), <(i65[1], i4[1])), >(i71[1], 0)), >(+(i65[1], 1), 0)), java.lang.Object(ARRAY(i4[1], a1938data[1])), i65[1], i71[1]) which results in the following constraint:

    (1)    (i65[0]=i65[1]i71[0]=i71[1]i4[0]=i4[1]a1938data[0]=a1938data[1]LOAD1577(java.lang.Object(ARRAY(i4[0], a1938data[0])), i65[0], i71[0])≥NonInfC∧LOAD1577(java.lang.Object(ARRAY(i4[0], a1938data[0])), i65[0], i71[0])≥LOAD1577ARR1(java.lang.Object(ARRAY(i4[0], a1938data[0])), i65[0], i71[0])∧(UIncreasing(LOAD1577ARR1(java.lang.Object(ARRAY(i4[0], a1938data[0])), i65[0], i71[0])), ≥))



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

    (2)    (LOAD1577(java.lang.Object(ARRAY(i4[0], a1938data[0])), i65[0], i71[0])≥NonInfC∧LOAD1577(java.lang.Object(ARRAY(i4[0], a1938data[0])), i65[0], i71[0])≥LOAD1577ARR1(java.lang.Object(ARRAY(i4[0], a1938data[0])), i65[0], i71[0])∧(UIncreasing(LOAD1577ARR1(java.lang.Object(ARRAY(i4[0], a1938data[0])), i65[0], i71[0])), ≥))



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

    (3)    ((UIncreasing(LOAD1577ARR1(java.lang.Object(ARRAY(i4[0], a1938data[0])), i65[0], i71[0])), ≥)∧[(-1)bso_46] ≥ 0)



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

    (4)    ((UIncreasing(LOAD1577ARR1(java.lang.Object(ARRAY(i4[0], a1938data[0])), i65[0], i71[0])), ≥)∧[(-1)bso_46] ≥ 0)



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

    (5)    ((UIncreasing(LOAD1577ARR1(java.lang.Object(ARRAY(i4[0], a1938data[0])), i65[0], i71[0])), ≥)∧[(-1)bso_46] ≥ 0)



    We simplified constraint (5) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (6)    ((UIncreasing(LOAD1577ARR1(java.lang.Object(ARRAY(i4[0], a1938data[0])), i65[0], i71[0])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_46] ≥ 0)







For Pair LOAD1577ARR1(java.lang.Object(ARRAY(i4, a1938data)), i65, i71) → COND_LOAD1577ARR1(&&(&&(&&(>(i65, 0), <(i65, i4)), >(i71, 0)), >(+(i65, 1), 0)), java.lang.Object(ARRAY(i4, a1938data)), i65, i71) the following chains were created:
  • We consider the chain LOAD1577ARR1(java.lang.Object(ARRAY(i4[1], a1938data[1])), i65[1], i71[1]) → COND_LOAD1577ARR1(&&(&&(&&(>(i65[1], 0), <(i65[1], i4[1])), >(i71[1], 0)), >(+(i65[1], 1), 0)), java.lang.Object(ARRAY(i4[1], a1938data[1])), i65[1], i71[1]), COND_LOAD1577ARR1(TRUE, java.lang.Object(ARRAY(i4[2], a1938data[2])), i65[2], i71[2]) → LOAD1577(java.lang.Object(ARRAY(i4[2], a1938data[2])), +(i65[2], 1), +(i71[2], -1)) which results in the following constraint:

    (7)    (i71[1]=i71[2]i65[1]=i65[2]i4[1]=i4[2]a1938data[1]=a1938data[2]&&(&&(&&(>(i65[1], 0), <(i65[1], i4[1])), >(i71[1], 0)), >(+(i65[1], 1), 0))=TRUELOAD1577ARR1(java.lang.Object(ARRAY(i4[1], a1938data[1])), i65[1], i71[1])≥NonInfC∧LOAD1577ARR1(java.lang.Object(ARRAY(i4[1], a1938data[1])), i65[1], i71[1])≥COND_LOAD1577ARR1(&&(&&(&&(>(i65[1], 0), <(i65[1], i4[1])), >(i71[1], 0)), >(+(i65[1], 1), 0)), java.lang.Object(ARRAY(i4[1], a1938data[1])), i65[1], i71[1])∧(UIncreasing(COND_LOAD1577ARR1(&&(&&(&&(>(i65[1], 0), <(i65[1], i4[1])), >(i71[1], 0)), >(+(i65[1], 1), 0)), java.lang.Object(ARRAY(i4[1], a1938data[1])), i65[1], i71[1])), ≥))



    We simplified constraint (7) using rules (IV), (IDP_BOOLEAN) which results in the following new constraint:

    (8)    (>(+(i65[1], 1), 0)=TRUE>(i71[1], 0)=TRUE>(i65[1], 0)=TRUE<(i65[1], i4[1])=TRUELOAD1577ARR1(java.lang.Object(ARRAY(i4[1], a1938data[1])), i65[1], i71[1])≥NonInfC∧LOAD1577ARR1(java.lang.Object(ARRAY(i4[1], a1938data[1])), i65[1], i71[1])≥COND_LOAD1577ARR1(&&(&&(&&(>(i65[1], 0), <(i65[1], i4[1])), >(i71[1], 0)), >(+(i65[1], 1), 0)), java.lang.Object(ARRAY(i4[1], a1938data[1])), i65[1], i71[1])∧(UIncreasing(COND_LOAD1577ARR1(&&(&&(&&(>(i65[1], 0), <(i65[1], i4[1])), >(i71[1], 0)), >(+(i65[1], 1), 0)), java.lang.Object(ARRAY(i4[1], a1938data[1])), i65[1], i71[1])), ≥))



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

    (9)    (i65[1] ≥ 0∧i71[1] + [-1] ≥ 0∧i65[1] + [-1] ≥ 0∧i4[1] + [-1] + [-1]i65[1] ≥ 0 ⇒ (UIncreasing(COND_LOAD1577ARR1(&&(&&(&&(>(i65[1], 0), <(i65[1], i4[1])), >(i71[1], 0)), >(+(i65[1], 1), 0)), java.lang.Object(ARRAY(i4[1], a1938data[1])), i65[1], i71[1])), ≥)∧[(-2)bni_47 + (-1)Bound*bni_47] + [bni_47]i71[1] + [bni_47]i4[1] + [(-1)bni_47]i65[1] ≥ 0∧[(-1)bso_48] ≥ 0)



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

    (10)    (i65[1] ≥ 0∧i71[1] + [-1] ≥ 0∧i65[1] + [-1] ≥ 0∧i4[1] + [-1] + [-1]i65[1] ≥ 0 ⇒ (UIncreasing(COND_LOAD1577ARR1(&&(&&(&&(>(i65[1], 0), <(i65[1], i4[1])), >(i71[1], 0)), >(+(i65[1], 1), 0)), java.lang.Object(ARRAY(i4[1], a1938data[1])), i65[1], i71[1])), ≥)∧[(-2)bni_47 + (-1)Bound*bni_47] + [bni_47]i71[1] + [bni_47]i4[1] + [(-1)bni_47]i65[1] ≥ 0∧[(-1)bso_48] ≥ 0)



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

    (11)    (i65[1] ≥ 0∧i71[1] + [-1] ≥ 0∧i65[1] + [-1] ≥ 0∧i4[1] + [-1] + [-1]i65[1] ≥ 0 ⇒ (UIncreasing(COND_LOAD1577ARR1(&&(&&(&&(>(i65[1], 0), <(i65[1], i4[1])), >(i71[1], 0)), >(+(i65[1], 1), 0)), java.lang.Object(ARRAY(i4[1], a1938data[1])), i65[1], i71[1])), ≥)∧[(-2)bni_47 + (-1)Bound*bni_47] + [bni_47]i71[1] + [bni_47]i4[1] + [(-1)bni_47]i65[1] ≥ 0∧[(-1)bso_48] ≥ 0)



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

    (12)    (i65[1] ≥ 0∧i71[1] + [-1] ≥ 0∧i65[1] + [-1] ≥ 0∧i4[1] + [-1] + [-1]i65[1] ≥ 0 ⇒ (UIncreasing(COND_LOAD1577ARR1(&&(&&(&&(>(i65[1], 0), <(i65[1], i4[1])), >(i71[1], 0)), >(+(i65[1], 1), 0)), java.lang.Object(ARRAY(i4[1], a1938data[1])), i65[1], i71[1])), ≥)∧0 = 0∧[(-2)bni_47 + (-1)Bound*bni_47] + [bni_47]i71[1] + [bni_47]i4[1] + [(-1)bni_47]i65[1] ≥ 0∧0 = 0∧[(-1)bso_48] ≥ 0)



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

    (13)    ([1] + i65[1] ≥ 0∧i71[1] + [-1] ≥ 0∧i65[1] ≥ 0∧i4[1] + [-2] + [-1]i65[1] ≥ 0 ⇒ (UIncreasing(COND_LOAD1577ARR1(&&(&&(&&(>(i65[1], 0), <(i65[1], i4[1])), >(i71[1], 0)), >(+(i65[1], 1), 0)), java.lang.Object(ARRAY(i4[1], a1938data[1])), i65[1], i71[1])), ≥)∧0 = 0∧[(-3)bni_47 + (-1)Bound*bni_47] + [bni_47]i71[1] + [bni_47]i4[1] + [(-1)bni_47]i65[1] ≥ 0∧0 = 0∧[(-1)bso_48] ≥ 0)



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

    (14)    ([1] + i65[1] ≥ 0∧i71[1] ≥ 0∧i65[1] ≥ 0∧i4[1] + [-2] + [-1]i65[1] ≥ 0 ⇒ (UIncreasing(COND_LOAD1577ARR1(&&(&&(&&(>(i65[1], 0), <(i65[1], i4[1])), >(i71[1], 0)), >(+(i65[1], 1), 0)), java.lang.Object(ARRAY(i4[1], a1938data[1])), i65[1], i71[1])), ≥)∧0 = 0∧[(-2)bni_47 + (-1)Bound*bni_47] + [bni_47]i71[1] + [bni_47]i4[1] + [(-1)bni_47]i65[1] ≥ 0∧0 = 0∧[(-1)bso_48] ≥ 0)



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

    (15)    ([1] + i65[1] ≥ 0∧i71[1] ≥ 0∧i65[1] ≥ 0∧i4[1] ≥ 0 ⇒ (UIncreasing(COND_LOAD1577ARR1(&&(&&(&&(>(i65[1], 0), <(i65[1], i4[1])), >(i71[1], 0)), >(+(i65[1], 1), 0)), java.lang.Object(ARRAY(i4[1], a1938data[1])), i65[1], i71[1])), ≥)∧0 = 0∧[(-1)Bound*bni_47] + [bni_47]i71[1] + [bni_47]i4[1] ≥ 0∧0 = 0∧[(-1)bso_48] ≥ 0)







For Pair COND_LOAD1577ARR1(TRUE, java.lang.Object(ARRAY(i4, a1938data)), i65, i71) → LOAD1577(java.lang.Object(ARRAY(i4, a1938data)), +(i65, 1), +(i71, -1)) the following chains were created:
  • We consider the chain COND_LOAD1577ARR1(TRUE, java.lang.Object(ARRAY(i4[2], a1938data[2])), i65[2], i71[2]) → LOAD1577(java.lang.Object(ARRAY(i4[2], a1938data[2])), +(i65[2], 1), +(i71[2], -1)) which results in the following constraint:

    (16)    (COND_LOAD1577ARR1(TRUE, java.lang.Object(ARRAY(i4[2], a1938data[2])), i65[2], i71[2])≥NonInfC∧COND_LOAD1577ARR1(TRUE, java.lang.Object(ARRAY(i4[2], a1938data[2])), i65[2], i71[2])≥LOAD1577(java.lang.Object(ARRAY(i4[2], a1938data[2])), +(i65[2], 1), +(i71[2], -1))∧(UIncreasing(LOAD1577(java.lang.Object(ARRAY(i4[2], a1938data[2])), +(i65[2], 1), +(i71[2], -1))), ≥))



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

    (17)    ((UIncreasing(LOAD1577(java.lang.Object(ARRAY(i4[2], a1938data[2])), +(i65[2], 1), +(i71[2], -1))), ≥)∧[2 + (-1)bso_50] ≥ 0)



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

    (18)    ((UIncreasing(LOAD1577(java.lang.Object(ARRAY(i4[2], a1938data[2])), +(i65[2], 1), +(i71[2], -1))), ≥)∧[2 + (-1)bso_50] ≥ 0)



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

    (19)    ((UIncreasing(LOAD1577(java.lang.Object(ARRAY(i4[2], a1938data[2])), +(i65[2], 1), +(i71[2], -1))), ≥)∧[2 + (-1)bso_50] ≥ 0)



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

    (20)    ((UIncreasing(LOAD1577(java.lang.Object(ARRAY(i4[2], a1938data[2])), +(i65[2], 1), +(i71[2], -1))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[2 + (-1)bso_50] ≥ 0)







For Pair LOAD15508(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3105) → COND_LOAD15508(&&(<=(i3105, 0), >(i71, 0)), java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3105) the following chains were created:
  • We consider the chain LOAD15508(java.lang.Object(ARRAY(i4[3], a30817data[3])), i3085[3], i71[3], i3105[3]) → COND_LOAD15508(&&(<=(i3105[3], 0), >(i71[3], 0)), java.lang.Object(ARRAY(i4[3], a30817data[3])), i3085[3], i71[3], i3105[3]), COND_LOAD15508(TRUE, java.lang.Object(ARRAY(i4[4], a30817data[4])), i3085[4], i71[4], i3105[4]) → LOAD1577(java.lang.Object(ARRAY(i4[4], a30817data[4])), i3085[4], +(i71[4], -1)) which results in the following constraint:

    (21)    (i3085[3]=i3085[4]i4[3]=i4[4]a30817data[3]=a30817data[4]i3105[3]=i3105[4]i71[3]=i71[4]&&(<=(i3105[3], 0), >(i71[3], 0))=TRUELOAD15508(java.lang.Object(ARRAY(i4[3], a30817data[3])), i3085[3], i71[3], i3105[3])≥NonInfC∧LOAD15508(java.lang.Object(ARRAY(i4[3], a30817data[3])), i3085[3], i71[3], i3105[3])≥COND_LOAD15508(&&(<=(i3105[3], 0), >(i71[3], 0)), java.lang.Object(ARRAY(i4[3], a30817data[3])), i3085[3], i71[3], i3105[3])∧(UIncreasing(COND_LOAD15508(&&(<=(i3105[3], 0), >(i71[3], 0)), java.lang.Object(ARRAY(i4[3], a30817data[3])), i3085[3], i71[3], i3105[3])), ≥))



    We simplified constraint (21) using rules (IV), (IDP_BOOLEAN) which results in the following new constraint:

    (22)    (<=(i3105[3], 0)=TRUE>(i71[3], 0)=TRUELOAD15508(java.lang.Object(ARRAY(i4[3], a30817data[3])), i3085[3], i71[3], i3105[3])≥NonInfC∧LOAD15508(java.lang.Object(ARRAY(i4[3], a30817data[3])), i3085[3], i71[3], i3105[3])≥COND_LOAD15508(&&(<=(i3105[3], 0), >(i71[3], 0)), java.lang.Object(ARRAY(i4[3], a30817data[3])), i3085[3], i71[3], i3105[3])∧(UIncreasing(COND_LOAD15508(&&(<=(i3105[3], 0), >(i71[3], 0)), java.lang.Object(ARRAY(i4[3], a30817data[3])), i3085[3], i71[3], i3105[3])), ≥))



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

    (23)    ([-1]i3105[3] ≥ 0∧i71[3] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508(&&(<=(i3105[3], 0), >(i71[3], 0)), java.lang.Object(ARRAY(i4[3], a30817data[3])), i3085[3], i71[3], i3105[3])), ≥)∧[(-2)bni_51 + (-1)Bound*bni_51] + [bni_51]i71[3] + [bni_51]i4[3] + [(-1)bni_51]i3085[3] ≥ 0∧[(-1)bso_52] ≥ 0)



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

    (24)    ([-1]i3105[3] ≥ 0∧i71[3] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508(&&(<=(i3105[3], 0), >(i71[3], 0)), java.lang.Object(ARRAY(i4[3], a30817data[3])), i3085[3], i71[3], i3105[3])), ≥)∧[(-2)bni_51 + (-1)Bound*bni_51] + [bni_51]i71[3] + [bni_51]i4[3] + [(-1)bni_51]i3085[3] ≥ 0∧[(-1)bso_52] ≥ 0)



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

    (25)    ([-1]i3105[3] ≥ 0∧i71[3] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508(&&(<=(i3105[3], 0), >(i71[3], 0)), java.lang.Object(ARRAY(i4[3], a30817data[3])), i3085[3], i71[3], i3105[3])), ≥)∧[(-2)bni_51 + (-1)Bound*bni_51] + [bni_51]i71[3] + [bni_51]i4[3] + [(-1)bni_51]i3085[3] ≥ 0∧[(-1)bso_52] ≥ 0)



    We simplified constraint (25) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (26)    ([-1]i3105[3] ≥ 0∧i71[3] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508(&&(<=(i3105[3], 0), >(i71[3], 0)), java.lang.Object(ARRAY(i4[3], a30817data[3])), i3085[3], i71[3], i3105[3])), ≥)∧0 = 0∧[bni_51] = 0∧[(-1)bni_51] = 0∧[(-2)bni_51 + (-1)Bound*bni_51] + [bni_51]i71[3] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_52] ≥ 0)



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

    (27)    (i3105[3] ≥ 0∧i71[3] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508(&&(<=(i3105[3], 0), >(i71[3], 0)), java.lang.Object(ARRAY(i4[3], a30817data[3])), i3085[3], i71[3], i3105[3])), ≥)∧0 = 0∧[bni_51] = 0∧[(-1)bni_51] = 0∧[(-2)bni_51 + (-1)Bound*bni_51] + [bni_51]i71[3] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_52] ≥ 0)



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

    (28)    (i3105[3] ≥ 0∧i71[3] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508(&&(<=(i3105[3], 0), >(i71[3], 0)), java.lang.Object(ARRAY(i4[3], a30817data[3])), i3085[3], i71[3], i3105[3])), ≥)∧0 = 0∧[bni_51] = 0∧[(-1)bni_51] = 0∧[(-1)bni_51 + (-1)Bound*bni_51] + [bni_51]i71[3] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_52] ≥ 0)







For Pair COND_LOAD15508(TRUE, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3105) → LOAD1577(java.lang.Object(ARRAY(i4, a30817data)), i3085, +(i71, -1)) the following chains were created:
  • We consider the chain COND_LOAD15508(TRUE, java.lang.Object(ARRAY(i4[4], a30817data[4])), i3085[4], i71[4], i3105[4]) → LOAD1577(java.lang.Object(ARRAY(i4[4], a30817data[4])), i3085[4], +(i71[4], -1)) which results in the following constraint:

    (29)    (COND_LOAD15508(TRUE, java.lang.Object(ARRAY(i4[4], a30817data[4])), i3085[4], i71[4], i3105[4])≥NonInfC∧COND_LOAD15508(TRUE, java.lang.Object(ARRAY(i4[4], a30817data[4])), i3085[4], i71[4], i3105[4])≥LOAD1577(java.lang.Object(ARRAY(i4[4], a30817data[4])), i3085[4], +(i71[4], -1))∧(UIncreasing(LOAD1577(java.lang.Object(ARRAY(i4[4], a30817data[4])), i3085[4], +(i71[4], -1))), ≥))



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

    (30)    ((UIncreasing(LOAD1577(java.lang.Object(ARRAY(i4[4], a30817data[4])), i3085[4], +(i71[4], -1))), ≥)∧[1 + (-1)bso_54] ≥ 0)



    We simplified constraint (30) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (31)    ((UIncreasing(LOAD1577(java.lang.Object(ARRAY(i4[4], a30817data[4])), i3085[4], +(i71[4], -1))), ≥)∧[1 + (-1)bso_54] ≥ 0)



    We simplified constraint (31) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (32)    ((UIncreasing(LOAD1577(java.lang.Object(ARRAY(i4[4], a30817data[4])), i3085[4], +(i71[4], -1))), ≥)∧[1 + (-1)bso_54] ≥ 0)



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

    (33)    ((UIncreasing(LOAD1577(java.lang.Object(ARRAY(i4[4], a30817data[4])), i3085[4], +(i71[4], -1))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_54] ≥ 0)







For Pair LOAD1577(java.lang.Object(ARRAY(i4, a1938data)), i65, i71) → LOAD1577ARR2(java.lang.Object(ARRAY(i4, a1938data)), i65, i71, java.lang.Object(java.lang.String(i120))) the following chains were created:
  • We consider the chain LOAD1577(java.lang.Object(ARRAY(i4[5], a1938data[5])), i65[5], i71[5]) → LOAD1577ARR2(java.lang.Object(ARRAY(i4[5], a1938data[5])), i65[5], i71[5], java.lang.Object(java.lang.String(i120[5]))) which results in the following constraint:

    (34)    (LOAD1577(java.lang.Object(ARRAY(i4[5], a1938data[5])), i65[5], i71[5])≥NonInfC∧LOAD1577(java.lang.Object(ARRAY(i4[5], a1938data[5])), i65[5], i71[5])≥LOAD1577ARR2(java.lang.Object(ARRAY(i4[5], a1938data[5])), i65[5], i71[5], java.lang.Object(java.lang.String(i120[5])))∧(UIncreasing(LOAD1577ARR2(java.lang.Object(ARRAY(i4[5], a1938data[5])), i65[5], i71[5], java.lang.Object(java.lang.String(i120[5])))), ≥))



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

    (35)    ((UIncreasing(LOAD1577ARR2(java.lang.Object(ARRAY(i4[5], a1938data[5])), i65[5], i71[5], java.lang.Object(java.lang.String(i120[5])))), ≥)∧[(-1)bso_56] ≥ 0)



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

    (36)    ((UIncreasing(LOAD1577ARR2(java.lang.Object(ARRAY(i4[5], a1938data[5])), i65[5], i71[5], java.lang.Object(java.lang.String(i120[5])))), ≥)∧[(-1)bso_56] ≥ 0)



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

    (37)    ((UIncreasing(LOAD1577ARR2(java.lang.Object(ARRAY(i4[5], a1938data[5])), i65[5], i71[5], java.lang.Object(java.lang.String(i120[5])))), ≥)∧[(-1)bso_56] ≥ 0)



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

    (38)    ((UIncreasing(LOAD1577ARR2(java.lang.Object(ARRAY(i4[5], a1938data[5])), i65[5], i71[5], java.lang.Object(java.lang.String(i120[5])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_56] ≥ 0)







For Pair LOAD1577ARR2(java.lang.Object(ARRAY(i4, a1938data)), i65, i71, java.lang.Object(java.lang.String(i120))) → COND_LOAD1577ARR2(&&(&&(&&(&&(!(=(i120, 0)), >(i65, 0)), <(i65, i4)), >(i71, 0)), >(+(i65, 1), 0)), java.lang.Object(ARRAY(i4, a1938data)), i65, i71, java.lang.Object(java.lang.String(i120))) the following chains were created:
  • We consider the chain LOAD1577ARR2(java.lang.Object(ARRAY(i4[6], a1938data[6])), i65[6], i71[6], java.lang.Object(java.lang.String(i120[6]))) → COND_LOAD1577ARR2(&&(&&(&&(&&(!(=(i120[6], 0)), >(i65[6], 0)), <(i65[6], i4[6])), >(i71[6], 0)), >(+(i65[6], 1), 0)), java.lang.Object(ARRAY(i4[6], a1938data[6])), i65[6], i71[6], java.lang.Object(java.lang.String(i120[6]))), COND_LOAD1577ARR2(TRUE, java.lang.Object(ARRAY(i4[7], a1938data[7])), i65[7], i71[7], java.lang.Object(java.lang.String(i120[7]))) → LOAD15508(java.lang.Object(ARRAY(i4[7], a1938data[7])), +(i65[7], 1), i71[7], i120[7]) which results in the following constraint:

    (39)    (&&(&&(&&(&&(!(=(i120[6], 0)), >(i65[6], 0)), <(i65[6], i4[6])), >(i71[6], 0)), >(+(i65[6], 1), 0))=TRUEi65[6]=i65[7]i71[6]=i71[7]i4[6]=i4[7]a1938data[6]=a1938data[7]i120[6]=i120[7]LOAD1577ARR2(java.lang.Object(ARRAY(i4[6], a1938data[6])), i65[6], i71[6], java.lang.Object(java.lang.String(i120[6])))≥NonInfC∧LOAD1577ARR2(java.lang.Object(ARRAY(i4[6], a1938data[6])), i65[6], i71[6], java.lang.Object(java.lang.String(i120[6])))≥COND_LOAD1577ARR2(&&(&&(&&(&&(!(=(i120[6], 0)), >(i65[6], 0)), <(i65[6], i4[6])), >(i71[6], 0)), >(+(i65[6], 1), 0)), java.lang.Object(ARRAY(i4[6], a1938data[6])), i65[6], i71[6], java.lang.Object(java.lang.String(i120[6])))∧(UIncreasing(COND_LOAD1577ARR2(&&(&&(&&(&&(!(=(i120[6], 0)), >(i65[6], 0)), <(i65[6], i4[6])), >(i71[6], 0)), >(+(i65[6], 1), 0)), java.lang.Object(ARRAY(i4[6], a1938data[6])), i65[6], i71[6], java.lang.Object(java.lang.String(i120[6])))), ≥))



    We simplified constraint (39) using rules (IV), (IDP_BOOLEAN) which results in the following new constraints:

    (40)    (>(+(i65[6], 1), 0)=TRUE>(i71[6], 0)=TRUE<(i65[6], i4[6])=TRUE>(i65[6], 0)=TRUE<(i120[6], 0)=TRUELOAD1577ARR2(java.lang.Object(ARRAY(i4[6], a1938data[6])), i65[6], i71[6], java.lang.Object(java.lang.String(i120[6])))≥NonInfC∧LOAD1577ARR2(java.lang.Object(ARRAY(i4[6], a1938data[6])), i65[6], i71[6], java.lang.Object(java.lang.String(i120[6])))≥COND_LOAD1577ARR2(&&(&&(&&(&&(!(=(i120[6], 0)), >(i65[6], 0)), <(i65[6], i4[6])), >(i71[6], 0)), >(+(i65[6], 1), 0)), java.lang.Object(ARRAY(i4[6], a1938data[6])), i65[6], i71[6], java.lang.Object(java.lang.String(i120[6])))∧(UIncreasing(COND_LOAD1577ARR2(&&(&&(&&(&&(!(=(i120[6], 0)), >(i65[6], 0)), <(i65[6], i4[6])), >(i71[6], 0)), >(+(i65[6], 1), 0)), java.lang.Object(ARRAY(i4[6], a1938data[6])), i65[6], i71[6], java.lang.Object(java.lang.String(i120[6])))), ≥))


    (41)    (>(+(i65[6], 1), 0)=TRUE>(i71[6], 0)=TRUE<(i65[6], i4[6])=TRUE>(i65[6], 0)=TRUE>(i120[6], 0)=TRUELOAD1577ARR2(java.lang.Object(ARRAY(i4[6], a1938data[6])), i65[6], i71[6], java.lang.Object(java.lang.String(i120[6])))≥NonInfC∧LOAD1577ARR2(java.lang.Object(ARRAY(i4[6], a1938data[6])), i65[6], i71[6], java.lang.Object(java.lang.String(i120[6])))≥COND_LOAD1577ARR2(&&(&&(&&(&&(!(=(i120[6], 0)), >(i65[6], 0)), <(i65[6], i4[6])), >(i71[6], 0)), >(+(i65[6], 1), 0)), java.lang.Object(ARRAY(i4[6], a1938data[6])), i65[6], i71[6], java.lang.Object(java.lang.String(i120[6])))∧(UIncreasing(COND_LOAD1577ARR2(&&(&&(&&(&&(!(=(i120[6], 0)), >(i65[6], 0)), <(i65[6], i4[6])), >(i71[6], 0)), >(+(i65[6], 1), 0)), java.lang.Object(ARRAY(i4[6], a1938data[6])), i65[6], i71[6], java.lang.Object(java.lang.String(i120[6])))), ≥))



    We simplified constraint (40) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (42)    (i65[6] ≥ 0∧i71[6] + [-1] ≥ 0∧i4[6] + [-1] + [-1]i65[6] ≥ 0∧i65[6] + [-1] ≥ 0∧[-1] + [-1]i120[6] ≥ 0 ⇒ (UIncreasing(COND_LOAD1577ARR2(&&(&&(&&(&&(!(=(i120[6], 0)), >(i65[6], 0)), <(i65[6], i4[6])), >(i71[6], 0)), >(+(i65[6], 1), 0)), java.lang.Object(ARRAY(i4[6], a1938data[6])), i65[6], i71[6], java.lang.Object(java.lang.String(i120[6])))), ≥)∧[(-2)bni_57 + (-1)Bound*bni_57] + [bni_57]i71[6] + [bni_57]i4[6] + [(-1)bni_57]i65[6] ≥ 0∧[(-1)bso_58] ≥ 0)



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

    (43)    (i65[6] ≥ 0∧i71[6] + [-1] ≥ 0∧i4[6] + [-1] + [-1]i65[6] ≥ 0∧i65[6] + [-1] ≥ 0∧i120[6] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD1577ARR2(&&(&&(&&(&&(!(=(i120[6], 0)), >(i65[6], 0)), <(i65[6], i4[6])), >(i71[6], 0)), >(+(i65[6], 1), 0)), java.lang.Object(ARRAY(i4[6], a1938data[6])), i65[6], i71[6], java.lang.Object(java.lang.String(i120[6])))), ≥)∧[(-2)bni_57 + (-1)Bound*bni_57] + [bni_57]i71[6] + [bni_57]i4[6] + [(-1)bni_57]i65[6] ≥ 0∧[(-1)bso_58] ≥ 0)



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

    (44)    (i65[6] ≥ 0∧i71[6] + [-1] ≥ 0∧i4[6] + [-1] + [-1]i65[6] ≥ 0∧i65[6] + [-1] ≥ 0∧[-1] + [-1]i120[6] ≥ 0 ⇒ (UIncreasing(COND_LOAD1577ARR2(&&(&&(&&(&&(!(=(i120[6], 0)), >(i65[6], 0)), <(i65[6], i4[6])), >(i71[6], 0)), >(+(i65[6], 1), 0)), java.lang.Object(ARRAY(i4[6], a1938data[6])), i65[6], i71[6], java.lang.Object(java.lang.String(i120[6])))), ≥)∧[(-2)bni_57 + (-1)Bound*bni_57] + [bni_57]i71[6] + [bni_57]i4[6] + [(-1)bni_57]i65[6] ≥ 0∧[(-1)bso_58] ≥ 0)



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

    (45)    (i65[6] ≥ 0∧i71[6] + [-1] ≥ 0∧i4[6] + [-1] + [-1]i65[6] ≥ 0∧i65[6] + [-1] ≥ 0∧i120[6] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD1577ARR2(&&(&&(&&(&&(!(=(i120[6], 0)), >(i65[6], 0)), <(i65[6], i4[6])), >(i71[6], 0)), >(+(i65[6], 1), 0)), java.lang.Object(ARRAY(i4[6], a1938data[6])), i65[6], i71[6], java.lang.Object(java.lang.String(i120[6])))), ≥)∧[(-2)bni_57 + (-1)Bound*bni_57] + [bni_57]i71[6] + [bni_57]i4[6] + [(-1)bni_57]i65[6] ≥ 0∧[(-1)bso_58] ≥ 0)



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

    (46)    (i65[6] ≥ 0∧i71[6] + [-1] ≥ 0∧i4[6] + [-1] + [-1]i65[6] ≥ 0∧i65[6] + [-1] ≥ 0∧[-1] + [-1]i120[6] ≥ 0 ⇒ (UIncreasing(COND_LOAD1577ARR2(&&(&&(&&(&&(!(=(i120[6], 0)), >(i65[6], 0)), <(i65[6], i4[6])), >(i71[6], 0)), >(+(i65[6], 1), 0)), java.lang.Object(ARRAY(i4[6], a1938data[6])), i65[6], i71[6], java.lang.Object(java.lang.String(i120[6])))), ≥)∧[(-2)bni_57 + (-1)Bound*bni_57] + [bni_57]i71[6] + [bni_57]i4[6] + [(-1)bni_57]i65[6] ≥ 0∧[(-1)bso_58] ≥ 0)



    We simplified constraint (45) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (47)    (i65[6] ≥ 0∧i71[6] + [-1] ≥ 0∧i4[6] + [-1] + [-1]i65[6] ≥ 0∧i65[6] + [-1] ≥ 0∧i120[6] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD1577ARR2(&&(&&(&&(&&(!(=(i120[6], 0)), >(i65[6], 0)), <(i65[6], i4[6])), >(i71[6], 0)), >(+(i65[6], 1), 0)), java.lang.Object(ARRAY(i4[6], a1938data[6])), i65[6], i71[6], java.lang.Object(java.lang.String(i120[6])))), ≥)∧[(-2)bni_57 + (-1)Bound*bni_57] + [bni_57]i71[6] + [bni_57]i4[6] + [(-1)bni_57]i65[6] ≥ 0∧[(-1)bso_58] ≥ 0)



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

    (48)    (i65[6] ≥ 0∧i71[6] + [-1] ≥ 0∧i4[6] + [-1] + [-1]i65[6] ≥ 0∧i65[6] + [-1] ≥ 0∧[-1] + [-1]i120[6] ≥ 0 ⇒ (UIncreasing(COND_LOAD1577ARR2(&&(&&(&&(&&(!(=(i120[6], 0)), >(i65[6], 0)), <(i65[6], i4[6])), >(i71[6], 0)), >(+(i65[6], 1), 0)), java.lang.Object(ARRAY(i4[6], a1938data[6])), i65[6], i71[6], java.lang.Object(java.lang.String(i120[6])))), ≥)∧0 = 0∧[(-2)bni_57 + (-1)Bound*bni_57] + [bni_57]i71[6] + [bni_57]i4[6] + [(-1)bni_57]i65[6] ≥ 0∧0 = 0∧[(-1)bso_58] ≥ 0)



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

    (49)    (i65[6] ≥ 0∧i71[6] + [-1] ≥ 0∧i4[6] + [-1] + [-1]i65[6] ≥ 0∧i65[6] + [-1] ≥ 0∧i120[6] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD1577ARR2(&&(&&(&&(&&(!(=(i120[6], 0)), >(i65[6], 0)), <(i65[6], i4[6])), >(i71[6], 0)), >(+(i65[6], 1), 0)), java.lang.Object(ARRAY(i4[6], a1938data[6])), i65[6], i71[6], java.lang.Object(java.lang.String(i120[6])))), ≥)∧0 = 0∧[(-2)bni_57 + (-1)Bound*bni_57] + [bni_57]i71[6] + [bni_57]i4[6] + [(-1)bni_57]i65[6] ≥ 0∧0 = 0∧[(-1)bso_58] ≥ 0)



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

    (50)    ([1] + i65[6] ≥ 0∧i71[6] + [-1] ≥ 0∧i4[6] + [-2] + [-1]i65[6] ≥ 0∧i65[6] ≥ 0∧[-1] + [-1]i120[6] ≥ 0 ⇒ (UIncreasing(COND_LOAD1577ARR2(&&(&&(&&(&&(!(=(i120[6], 0)), >(i65[6], 0)), <(i65[6], i4[6])), >(i71[6], 0)), >(+(i65[6], 1), 0)), java.lang.Object(ARRAY(i4[6], a1938data[6])), i65[6], i71[6], java.lang.Object(java.lang.String(i120[6])))), ≥)∧0 = 0∧[(-3)bni_57 + (-1)Bound*bni_57] + [bni_57]i71[6] + [bni_57]i4[6] + [(-1)bni_57]i65[6] ≥ 0∧0 = 0∧[(-1)bso_58] ≥ 0)



    We simplified constraint (50) using rule (IDP_SMT_SPLIT) which results in the following new constraint:

    (51)    ([1] + i65[6] ≥ 0∧i71[6] ≥ 0∧i4[6] + [-2] + [-1]i65[6] ≥ 0∧i65[6] ≥ 0∧[-1] + [-1]i120[6] ≥ 0 ⇒ (UIncreasing(COND_LOAD1577ARR2(&&(&&(&&(&&(!(=(i120[6], 0)), >(i65[6], 0)), <(i65[6], i4[6])), >(i71[6], 0)), >(+(i65[6], 1), 0)), java.lang.Object(ARRAY(i4[6], a1938data[6])), i65[6], i71[6], java.lang.Object(java.lang.String(i120[6])))), ≥)∧0 = 0∧[(-2)bni_57 + (-1)Bound*bni_57] + [bni_57]i71[6] + [bni_57]i4[6] + [(-1)bni_57]i65[6] ≥ 0∧0 = 0∧[(-1)bso_58] ≥ 0)



    We simplified constraint (51) using rule (IDP_SMT_SPLIT) which results in the following new constraint:

    (52)    ([1] + i65[6] ≥ 0∧i71[6] ≥ 0∧i4[6] ≥ 0∧i65[6] ≥ 0∧[-1] + [-1]i120[6] ≥ 0 ⇒ (UIncreasing(COND_LOAD1577ARR2(&&(&&(&&(&&(!(=(i120[6], 0)), >(i65[6], 0)), <(i65[6], i4[6])), >(i71[6], 0)), >(+(i65[6], 1), 0)), java.lang.Object(ARRAY(i4[6], a1938data[6])), i65[6], i71[6], java.lang.Object(java.lang.String(i120[6])))), ≥)∧0 = 0∧[(-1)Bound*bni_57] + [bni_57]i71[6] + [bni_57]i4[6] ≥ 0∧0 = 0∧[(-1)bso_58] ≥ 0)



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

    (53)    ([1] + i65[6] ≥ 0∧i71[6] ≥ 0∧i4[6] ≥ 0∧i65[6] ≥ 0∧i120[6] ≥ 0 ⇒ (UIncreasing(COND_LOAD1577ARR2(&&(&&(&&(&&(!(=(i120[6], 0)), >(i65[6], 0)), <(i65[6], i4[6])), >(i71[6], 0)), >(+(i65[6], 1), 0)), java.lang.Object(ARRAY(i4[6], a1938data[6])), i65[6], i71[6], java.lang.Object(java.lang.String(i120[6])))), ≥)∧0 = 0∧[(-1)Bound*bni_57] + [bni_57]i71[6] + [bni_57]i4[6] ≥ 0∧0 = 0∧[(-1)bso_58] ≥ 0)



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

    (54)    ([1] + i65[6] ≥ 0∧i71[6] + [-1] ≥ 0∧i4[6] + [-2] + [-1]i65[6] ≥ 0∧i65[6] ≥ 0∧i120[6] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD1577ARR2(&&(&&(&&(&&(!(=(i120[6], 0)), >(i65[6], 0)), <(i65[6], i4[6])), >(i71[6], 0)), >(+(i65[6], 1), 0)), java.lang.Object(ARRAY(i4[6], a1938data[6])), i65[6], i71[6], java.lang.Object(java.lang.String(i120[6])))), ≥)∧0 = 0∧[(-3)bni_57 + (-1)Bound*bni_57] + [bni_57]i71[6] + [bni_57]i4[6] + [(-1)bni_57]i65[6] ≥ 0∧0 = 0∧[(-1)bso_58] ≥ 0)



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

    (55)    ([1] + i65[6] ≥ 0∧i71[6] ≥ 0∧i4[6] + [-2] + [-1]i65[6] ≥ 0∧i65[6] ≥ 0∧i120[6] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD1577ARR2(&&(&&(&&(&&(!(=(i120[6], 0)), >(i65[6], 0)), <(i65[6], i4[6])), >(i71[6], 0)), >(+(i65[6], 1), 0)), java.lang.Object(ARRAY(i4[6], a1938data[6])), i65[6], i71[6], java.lang.Object(java.lang.String(i120[6])))), ≥)∧0 = 0∧[(-2)bni_57 + (-1)Bound*bni_57] + [bni_57]i71[6] + [bni_57]i4[6] + [(-1)bni_57]i65[6] ≥ 0∧0 = 0∧[(-1)bso_58] ≥ 0)



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

    (56)    ([1] + i65[6] ≥ 0∧i71[6] ≥ 0∧i4[6] ≥ 0∧i65[6] ≥ 0∧i120[6] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD1577ARR2(&&(&&(&&(&&(!(=(i120[6], 0)), >(i65[6], 0)), <(i65[6], i4[6])), >(i71[6], 0)), >(+(i65[6], 1), 0)), java.lang.Object(ARRAY(i4[6], a1938data[6])), i65[6], i71[6], java.lang.Object(java.lang.String(i120[6])))), ≥)∧0 = 0∧[(-1)Bound*bni_57] + [bni_57]i71[6] + [bni_57]i4[6] ≥ 0∧0 = 0∧[(-1)bso_58] ≥ 0)



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

    (57)    ([1] + i65[6] ≥ 0∧i71[6] ≥ 0∧i4[6] ≥ 0∧i65[6] ≥ 0∧i120[6] ≥ 0 ⇒ (UIncreasing(COND_LOAD1577ARR2(&&(&&(&&(&&(!(=(i120[6], 0)), >(i65[6], 0)), <(i65[6], i4[6])), >(i71[6], 0)), >(+(i65[6], 1), 0)), java.lang.Object(ARRAY(i4[6], a1938data[6])), i65[6], i71[6], java.lang.Object(java.lang.String(i120[6])))), ≥)∧0 = 0∧[(-1)Bound*bni_57] + [bni_57]i71[6] + [bni_57]i4[6] ≥ 0∧0 = 0∧[(-1)bso_58] ≥ 0)







For Pair COND_LOAD1577ARR2(TRUE, java.lang.Object(ARRAY(i4, a1938data)), i65, i71, java.lang.Object(java.lang.String(i120))) → LOAD15508(java.lang.Object(ARRAY(i4, a1938data)), +(i65, 1), i71, i120) the following chains were created:
  • We consider the chain COND_LOAD1577ARR2(TRUE, java.lang.Object(ARRAY(i4[7], a1938data[7])), i65[7], i71[7], java.lang.Object(java.lang.String(i120[7]))) → LOAD15508(java.lang.Object(ARRAY(i4[7], a1938data[7])), +(i65[7], 1), i71[7], i120[7]) which results in the following constraint:

    (58)    (COND_LOAD1577ARR2(TRUE, java.lang.Object(ARRAY(i4[7], a1938data[7])), i65[7], i71[7], java.lang.Object(java.lang.String(i120[7])))≥NonInfC∧COND_LOAD1577ARR2(TRUE, java.lang.Object(ARRAY(i4[7], a1938data[7])), i65[7], i71[7], java.lang.Object(java.lang.String(i120[7])))≥LOAD15508(java.lang.Object(ARRAY(i4[7], a1938data[7])), +(i65[7], 1), i71[7], i120[7])∧(UIncreasing(LOAD15508(java.lang.Object(ARRAY(i4[7], a1938data[7])), +(i65[7], 1), i71[7], i120[7])), ≥))



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

    (59)    ((UIncreasing(LOAD15508(java.lang.Object(ARRAY(i4[7], a1938data[7])), +(i65[7], 1), i71[7], i120[7])), ≥)∧[1 + (-1)bso_60] ≥ 0)



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

    (60)    ((UIncreasing(LOAD15508(java.lang.Object(ARRAY(i4[7], a1938data[7])), +(i65[7], 1), i71[7], i120[7])), ≥)∧[1 + (-1)bso_60] ≥ 0)



    We simplified constraint (60) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (61)    ((UIncreasing(LOAD15508(java.lang.Object(ARRAY(i4[7], a1938data[7])), +(i65[7], 1), i71[7], i120[7])), ≥)∧[1 + (-1)bso_60] ≥ 0)



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

    (62)    ((UIncreasing(LOAD15508(java.lang.Object(ARRAY(i4[7], a1938data[7])), +(i65[7], 1), i71[7], i120[7])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_60] ≥ 0)







For Pair INC18057(java.lang.Object(ARRAY(i4, a30817data)), i3158, i71, i3104) → LOAD15508(java.lang.Object(ARRAY(i4, a30817data)), i3158, i71, +(i3104, -1)) the following chains were created:
  • We consider the chain INC18057(java.lang.Object(ARRAY(i4[8], a30817data[8])), i3158[8], i71[8], i3104[8]) → LOAD15508(java.lang.Object(ARRAY(i4[8], a30817data[8])), i3158[8], i71[8], +(i3104[8], -1)) which results in the following constraint:

    (63)    (INC18057(java.lang.Object(ARRAY(i4[8], a30817data[8])), i3158[8], i71[8], i3104[8])≥NonInfC∧INC18057(java.lang.Object(ARRAY(i4[8], a30817data[8])), i3158[8], i71[8], i3104[8])≥LOAD15508(java.lang.Object(ARRAY(i4[8], a30817data[8])), i3158[8], i71[8], +(i3104[8], -1))∧(UIncreasing(LOAD15508(java.lang.Object(ARRAY(i4[8], a30817data[8])), i3158[8], i71[8], +(i3104[8], -1))), ≥))



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

    (64)    ((UIncreasing(LOAD15508(java.lang.Object(ARRAY(i4[8], a30817data[8])), i3158[8], i71[8], +(i3104[8], -1))), ≥)∧[(-1)bso_62] ≥ 0)



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

    (65)    ((UIncreasing(LOAD15508(java.lang.Object(ARRAY(i4[8], a30817data[8])), i3158[8], i71[8], +(i3104[8], -1))), ≥)∧[(-1)bso_62] ≥ 0)



    We simplified constraint (65) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (66)    ((UIncreasing(LOAD15508(java.lang.Object(ARRAY(i4[8], a30817data[8])), i3158[8], i71[8], +(i3104[8], -1))), ≥)∧[(-1)bso_62] ≥ 0)



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

    (67)    ((UIncreasing(LOAD15508(java.lang.Object(ARRAY(i4[8], a30817data[8])), i3158[8], i71[8], +(i3104[8], -1))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_62] ≥ 0)







For Pair LOAD15508(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104) → LOAD15508ARR3(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3404))) the following chains were created:
  • We consider the chain LOAD15508(java.lang.Object(ARRAY(i4[9], a30817data[9])), i3085[9], i71[9], i3104[9]) → LOAD15508ARR3(java.lang.Object(ARRAY(i4[9], a30817data[9])), i3085[9], i71[9], i3104[9], java.lang.Object(java.lang.String(i3404[9]))) which results in the following constraint:

    (68)    (LOAD15508(java.lang.Object(ARRAY(i4[9], a30817data[9])), i3085[9], i71[9], i3104[9])≥NonInfC∧LOAD15508(java.lang.Object(ARRAY(i4[9], a30817data[9])), i3085[9], i71[9], i3104[9])≥LOAD15508ARR3(java.lang.Object(ARRAY(i4[9], a30817data[9])), i3085[9], i71[9], i3104[9], java.lang.Object(java.lang.String(i3404[9])))∧(UIncreasing(LOAD15508ARR3(java.lang.Object(ARRAY(i4[9], a30817data[9])), i3085[9], i71[9], i3104[9], java.lang.Object(java.lang.String(i3404[9])))), ≥))



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

    (69)    ((UIncreasing(LOAD15508ARR3(java.lang.Object(ARRAY(i4[9], a30817data[9])), i3085[9], i71[9], i3104[9], java.lang.Object(java.lang.String(i3404[9])))), ≥)∧[(-1)bso_64] ≥ 0)



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

    (70)    ((UIncreasing(LOAD15508ARR3(java.lang.Object(ARRAY(i4[9], a30817data[9])), i3085[9], i71[9], i3104[9], java.lang.Object(java.lang.String(i3404[9])))), ≥)∧[(-1)bso_64] ≥ 0)



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

    (71)    ((UIncreasing(LOAD15508ARR3(java.lang.Object(ARRAY(i4[9], a30817data[9])), i3085[9], i71[9], i3104[9], java.lang.Object(java.lang.String(i3404[9])))), ≥)∧[(-1)bso_64] ≥ 0)



    We simplified constraint (71) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (72)    ((UIncreasing(LOAD15508ARR3(java.lang.Object(ARRAY(i4[9], a30817data[9])), i3085[9], i71[9], i3104[9], java.lang.Object(java.lang.String(i3404[9])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_64] ≥ 0)







For Pair LOAD15508ARR3(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3404))) → COND_LOAD15508ARR3(&&(&&(&&(&&(<=(i3404, 0), >(i3085, 0)), <(i3085, i4)), >(i3104, 0)), >(+(i3085, 1), 0)), java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3404))) the following chains were created:
  • We consider the chain LOAD15508ARR3(java.lang.Object(ARRAY(i4[10], a30817data[10])), i3085[10], i71[10], i3104[10], java.lang.Object(java.lang.String(i3404[10]))) → COND_LOAD15508ARR3(&&(&&(&&(&&(<=(i3404[10], 0), >(i3085[10], 0)), <(i3085[10], i4[10])), >(i3104[10], 0)), >(+(i3085[10], 1), 0)), java.lang.Object(ARRAY(i4[10], a30817data[10])), i3085[10], i71[10], i3104[10], java.lang.Object(java.lang.String(i3404[10]))), COND_LOAD15508ARR3(TRUE, java.lang.Object(ARRAY(i4[11], a30817data[11])), i3085[11], i71[11], i3104[11], java.lang.Object(java.lang.String(i3404[11]))) → LOAD15508(java.lang.Object(ARRAY(i4[11], a30817data[11])), +(i3085[11], 1), i71[11], +(i3104[11], -1)) which results in the following constraint:

    (73)    (i3085[10]=i3085[11]i4[10]=i4[11]a30817data[10]=a30817data[11]&&(&&(&&(&&(<=(i3404[10], 0), >(i3085[10], 0)), <(i3085[10], i4[10])), >(i3104[10], 0)), >(+(i3085[10], 1), 0))=TRUEi3404[10]=i3404[11]i3104[10]=i3104[11]i71[10]=i71[11]LOAD15508ARR3(java.lang.Object(ARRAY(i4[10], a30817data[10])), i3085[10], i71[10], i3104[10], java.lang.Object(java.lang.String(i3404[10])))≥NonInfC∧LOAD15508ARR3(java.lang.Object(ARRAY(i4[10], a30817data[10])), i3085[10], i71[10], i3104[10], java.lang.Object(java.lang.String(i3404[10])))≥COND_LOAD15508ARR3(&&(&&(&&(&&(<=(i3404[10], 0), >(i3085[10], 0)), <(i3085[10], i4[10])), >(i3104[10], 0)), >(+(i3085[10], 1), 0)), java.lang.Object(ARRAY(i4[10], a30817data[10])), i3085[10], i71[10], i3104[10], java.lang.Object(java.lang.String(i3404[10])))∧(UIncreasing(COND_LOAD15508ARR3(&&(&&(&&(&&(<=(i3404[10], 0), >(i3085[10], 0)), <(i3085[10], i4[10])), >(i3104[10], 0)), >(+(i3085[10], 1), 0)), java.lang.Object(ARRAY(i4[10], a30817data[10])), i3085[10], i71[10], i3104[10], java.lang.Object(java.lang.String(i3404[10])))), ≥))



    We simplified constraint (73) using rules (IV), (IDP_BOOLEAN) which results in the following new constraint:

    (74)    (>(+(i3085[10], 1), 0)=TRUE>(i3104[10], 0)=TRUE<(i3085[10], i4[10])=TRUE<=(i3404[10], 0)=TRUE>(i3085[10], 0)=TRUELOAD15508ARR3(java.lang.Object(ARRAY(i4[10], a30817data[10])), i3085[10], i71[10], i3104[10], java.lang.Object(java.lang.String(i3404[10])))≥NonInfC∧LOAD15508ARR3(java.lang.Object(ARRAY(i4[10], a30817data[10])), i3085[10], i71[10], i3104[10], java.lang.Object(java.lang.String(i3404[10])))≥COND_LOAD15508ARR3(&&(&&(&&(&&(<=(i3404[10], 0), >(i3085[10], 0)), <(i3085[10], i4[10])), >(i3104[10], 0)), >(+(i3085[10], 1), 0)), java.lang.Object(ARRAY(i4[10], a30817data[10])), i3085[10], i71[10], i3104[10], java.lang.Object(java.lang.String(i3404[10])))∧(UIncreasing(COND_LOAD15508ARR3(&&(&&(&&(&&(<=(i3404[10], 0), >(i3085[10], 0)), <(i3085[10], i4[10])), >(i3104[10], 0)), >(+(i3085[10], 1), 0)), java.lang.Object(ARRAY(i4[10], a30817data[10])), i3085[10], i71[10], i3104[10], java.lang.Object(java.lang.String(i3404[10])))), ≥))



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

    (75)    (i3085[10] ≥ 0∧i3104[10] + [-1] ≥ 0∧i4[10] + [-1] + [-1]i3085[10] ≥ 0∧[-1]i3404[10] ≥ 0∧i3085[10] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR3(&&(&&(&&(&&(<=(i3404[10], 0), >(i3085[10], 0)), <(i3085[10], i4[10])), >(i3104[10], 0)), >(+(i3085[10], 1), 0)), java.lang.Object(ARRAY(i4[10], a30817data[10])), i3085[10], i71[10], i3104[10], java.lang.Object(java.lang.String(i3404[10])))), ≥)∧[(-2)bni_65 + (-1)Bound*bni_65] + [bni_65]i71[10] + [bni_65]i4[10] + [(-1)bni_65]i3085[10] ≥ 0∧[(-1)bso_66] ≥ 0)



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

    (76)    (i3085[10] ≥ 0∧i3104[10] + [-1] ≥ 0∧i4[10] + [-1] + [-1]i3085[10] ≥ 0∧[-1]i3404[10] ≥ 0∧i3085[10] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR3(&&(&&(&&(&&(<=(i3404[10], 0), >(i3085[10], 0)), <(i3085[10], i4[10])), >(i3104[10], 0)), >(+(i3085[10], 1), 0)), java.lang.Object(ARRAY(i4[10], a30817data[10])), i3085[10], i71[10], i3104[10], java.lang.Object(java.lang.String(i3404[10])))), ≥)∧[(-2)bni_65 + (-1)Bound*bni_65] + [bni_65]i71[10] + [bni_65]i4[10] + [(-1)bni_65]i3085[10] ≥ 0∧[(-1)bso_66] ≥ 0)



    We simplified constraint (76) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (77)    (i3085[10] ≥ 0∧i3104[10] + [-1] ≥ 0∧i4[10] + [-1] + [-1]i3085[10] ≥ 0∧[-1]i3404[10] ≥ 0∧i3085[10] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR3(&&(&&(&&(&&(<=(i3404[10], 0), >(i3085[10], 0)), <(i3085[10], i4[10])), >(i3104[10], 0)), >(+(i3085[10], 1), 0)), java.lang.Object(ARRAY(i4[10], a30817data[10])), i3085[10], i71[10], i3104[10], java.lang.Object(java.lang.String(i3404[10])))), ≥)∧[(-2)bni_65 + (-1)Bound*bni_65] + [bni_65]i71[10] + [bni_65]i4[10] + [(-1)bni_65]i3085[10] ≥ 0∧[(-1)bso_66] ≥ 0)



    We simplified constraint (77) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (78)    (i3085[10] ≥ 0∧i3104[10] + [-1] ≥ 0∧i4[10] + [-1] + [-1]i3085[10] ≥ 0∧[-1]i3404[10] ≥ 0∧i3085[10] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR3(&&(&&(&&(&&(<=(i3404[10], 0), >(i3085[10], 0)), <(i3085[10], i4[10])), >(i3104[10], 0)), >(+(i3085[10], 1), 0)), java.lang.Object(ARRAY(i4[10], a30817data[10])), i3085[10], i71[10], i3104[10], java.lang.Object(java.lang.String(i3404[10])))), ≥)∧[bni_65] = 0∧0 = 0∧[(-2)bni_65 + (-1)Bound*bni_65] + [bni_65]i4[10] + [(-1)bni_65]i3085[10] ≥ 0∧0 = 0∧0 = 0∧[(-1)bso_66] ≥ 0)



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

    (79)    ([1] + i3085[10] ≥ 0∧i3104[10] + [-1] ≥ 0∧i4[10] + [-2] + [-1]i3085[10] ≥ 0∧[-1]i3404[10] ≥ 0∧i3085[10] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR3(&&(&&(&&(&&(<=(i3404[10], 0), >(i3085[10], 0)), <(i3085[10], i4[10])), >(i3104[10], 0)), >(+(i3085[10], 1), 0)), java.lang.Object(ARRAY(i4[10], a30817data[10])), i3085[10], i71[10], i3104[10], java.lang.Object(java.lang.String(i3404[10])))), ≥)∧[bni_65] = 0∧0 = 0∧[(-3)bni_65 + (-1)Bound*bni_65] + [bni_65]i4[10] + [(-1)bni_65]i3085[10] ≥ 0∧0 = 0∧0 = 0∧[(-1)bso_66] ≥ 0)



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

    (80)    ([1] + i3085[10] ≥ 0∧i3104[10] ≥ 0∧i4[10] + [-2] + [-1]i3085[10] ≥ 0∧[-1]i3404[10] ≥ 0∧i3085[10] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR3(&&(&&(&&(&&(<=(i3404[10], 0), >(i3085[10], 0)), <(i3085[10], i4[10])), >(i3104[10], 0)), >(+(i3085[10], 1), 0)), java.lang.Object(ARRAY(i4[10], a30817data[10])), i3085[10], i71[10], i3104[10], java.lang.Object(java.lang.String(i3404[10])))), ≥)∧[bni_65] = 0∧0 = 0∧[(-3)bni_65 + (-1)Bound*bni_65] + [bni_65]i4[10] + [(-1)bni_65]i3085[10] ≥ 0∧0 = 0∧0 = 0∧[(-1)bso_66] ≥ 0)



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

    (81)    ([1] + i3085[10] ≥ 0∧i3104[10] ≥ 0∧i4[10] ≥ 0∧[-1]i3404[10] ≥ 0∧i3085[10] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR3(&&(&&(&&(&&(<=(i3404[10], 0), >(i3085[10], 0)), <(i3085[10], i4[10])), >(i3104[10], 0)), >(+(i3085[10], 1), 0)), java.lang.Object(ARRAY(i4[10], a30817data[10])), i3085[10], i71[10], i3104[10], java.lang.Object(java.lang.String(i3404[10])))), ≥)∧[bni_65] = 0∧0 = 0∧[(-1)Bound*bni_65 + (-1)bni_65] + [bni_65]i4[10] ≥ 0∧0 = 0∧0 = 0∧[(-1)bso_66] ≥ 0)



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

    (82)    ([1] + i3085[10] ≥ 0∧i3104[10] ≥ 0∧i4[10] ≥ 0∧i3404[10] ≥ 0∧i3085[10] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR3(&&(&&(&&(&&(<=(i3404[10], 0), >(i3085[10], 0)), <(i3085[10], i4[10])), >(i3104[10], 0)), >(+(i3085[10], 1), 0)), java.lang.Object(ARRAY(i4[10], a30817data[10])), i3085[10], i71[10], i3104[10], java.lang.Object(java.lang.String(i3404[10])))), ≥)∧[bni_65] = 0∧0 = 0∧[(-1)Bound*bni_65 + (-1)bni_65] + [bni_65]i4[10] ≥ 0∧0 = 0∧0 = 0∧[(-1)bso_66] ≥ 0)







For Pair COND_LOAD15508ARR3(TRUE, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3404))) → LOAD15508(java.lang.Object(ARRAY(i4, a30817data)), +(i3085, 1), i71, +(i3104, -1)) the following chains were created:
  • We consider the chain COND_LOAD15508ARR3(TRUE, java.lang.Object(ARRAY(i4[11], a30817data[11])), i3085[11], i71[11], i3104[11], java.lang.Object(java.lang.String(i3404[11]))) → LOAD15508(java.lang.Object(ARRAY(i4[11], a30817data[11])), +(i3085[11], 1), i71[11], +(i3104[11], -1)) which results in the following constraint:

    (83)    (COND_LOAD15508ARR3(TRUE, java.lang.Object(ARRAY(i4[11], a30817data[11])), i3085[11], i71[11], i3104[11], java.lang.Object(java.lang.String(i3404[11])))≥NonInfC∧COND_LOAD15508ARR3(TRUE, java.lang.Object(ARRAY(i4[11], a30817data[11])), i3085[11], i71[11], i3104[11], java.lang.Object(java.lang.String(i3404[11])))≥LOAD15508(java.lang.Object(ARRAY(i4[11], a30817data[11])), +(i3085[11], 1), i71[11], +(i3104[11], -1))∧(UIncreasing(LOAD15508(java.lang.Object(ARRAY(i4[11], a30817data[11])), +(i3085[11], 1), i71[11], +(i3104[11], -1))), ≥))



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

    (84)    ((UIncreasing(LOAD15508(java.lang.Object(ARRAY(i4[11], a30817data[11])), +(i3085[11], 1), i71[11], +(i3104[11], -1))), ≥)∧[1 + (-1)bso_68] ≥ 0)



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

    (85)    ((UIncreasing(LOAD15508(java.lang.Object(ARRAY(i4[11], a30817data[11])), +(i3085[11], 1), i71[11], +(i3104[11], -1))), ≥)∧[1 + (-1)bso_68] ≥ 0)



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

    (86)    ((UIncreasing(LOAD15508(java.lang.Object(ARRAY(i4[11], a30817data[11])), +(i3085[11], 1), i71[11], +(i3104[11], -1))), ≥)∧[1 + (-1)bso_68] ≥ 0)



    We simplified constraint (86) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (87)    ((UIncreasing(LOAD15508(java.lang.Object(ARRAY(i4[11], a30817data[11])), +(i3085[11], 1), i71[11], +(i3104[11], -1))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_68] ≥ 0)







For Pair LOAD15508(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104) → LOAD15508ARR4(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3403))) the following chains were created:
  • We consider the chain LOAD15508(java.lang.Object(ARRAY(i4[12], a30817data[12])), i3085[12], i71[12], i3104[12]) → LOAD15508ARR4(java.lang.Object(ARRAY(i4[12], a30817data[12])), i3085[12], i71[12], i3104[12], java.lang.Object(java.lang.String(i3403[12]))) which results in the following constraint:

    (88)    (LOAD15508(java.lang.Object(ARRAY(i4[12], a30817data[12])), i3085[12], i71[12], i3104[12])≥NonInfC∧LOAD15508(java.lang.Object(ARRAY(i4[12], a30817data[12])), i3085[12], i71[12], i3104[12])≥LOAD15508ARR4(java.lang.Object(ARRAY(i4[12], a30817data[12])), i3085[12], i71[12], i3104[12], java.lang.Object(java.lang.String(i3403[12])))∧(UIncreasing(LOAD15508ARR4(java.lang.Object(ARRAY(i4[12], a30817data[12])), i3085[12], i71[12], i3104[12], java.lang.Object(java.lang.String(i3403[12])))), ≥))



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

    (89)    ((UIncreasing(LOAD15508ARR4(java.lang.Object(ARRAY(i4[12], a30817data[12])), i3085[12], i71[12], i3104[12], java.lang.Object(java.lang.String(i3403[12])))), ≥)∧[(-1)bso_70] ≥ 0)



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

    (90)    ((UIncreasing(LOAD15508ARR4(java.lang.Object(ARRAY(i4[12], a30817data[12])), i3085[12], i71[12], i3104[12], java.lang.Object(java.lang.String(i3403[12])))), ≥)∧[(-1)bso_70] ≥ 0)



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

    (91)    ((UIncreasing(LOAD15508ARR4(java.lang.Object(ARRAY(i4[12], a30817data[12])), i3085[12], i71[12], i3104[12], java.lang.Object(java.lang.String(i3403[12])))), ≥)∧[(-1)bso_70] ≥ 0)



    We simplified constraint (91) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (92)    ((UIncreasing(LOAD15508ARR4(java.lang.Object(ARRAY(i4[12], a30817data[12])), i3085[12], i71[12], i3104[12], java.lang.Object(java.lang.String(i3403[12])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_70] ≥ 0)







For Pair LOAD15508ARR4(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3403))) → COND_LOAD15508ARR4(&&(&&(&&(&&(>(i3403, 0), >(i3085, 0)), <(i3085, i4)), >(i3104, 0)), >(+(i3085, 1), 0)), java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3403))) the following chains were created:
  • We consider the chain LOAD15508ARR4(java.lang.Object(ARRAY(i4[13], a30817data[13])), i3085[13], i71[13], i3104[13], java.lang.Object(java.lang.String(i3403[13]))) → COND_LOAD15508ARR4(&&(&&(&&(&&(>(i3403[13], 0), >(i3085[13], 0)), <(i3085[13], i4[13])), >(i3104[13], 0)), >(+(i3085[13], 1), 0)), java.lang.Object(ARRAY(i4[13], a30817data[13])), i3085[13], i71[13], i3104[13], java.lang.Object(java.lang.String(i3403[13]))), COND_LOAD15508ARR4(TRUE, java.lang.Object(ARRAY(i4[14], a30817data[14])), i3085[14], i71[14], i3104[14], java.lang.Object(java.lang.String(i3403[14]))) → LOAD15508(java.lang.Object(ARRAY(i4[14], a30817data[14])), +(i3085[14], 1), i71[14], +(i3104[14], -1)) which results in the following constraint:

    (93)    (i71[13]=i71[14]&&(&&(&&(&&(>(i3403[13], 0), >(i3085[13], 0)), <(i3085[13], i4[13])), >(i3104[13], 0)), >(+(i3085[13], 1), 0))=TRUEi3104[13]=i3104[14]i3403[13]=i3403[14]i3085[13]=i3085[14]i4[13]=i4[14]a30817data[13]=a30817data[14]LOAD15508ARR4(java.lang.Object(ARRAY(i4[13], a30817data[13])), i3085[13], i71[13], i3104[13], java.lang.Object(java.lang.String(i3403[13])))≥NonInfC∧LOAD15508ARR4(java.lang.Object(ARRAY(i4[13], a30817data[13])), i3085[13], i71[13], i3104[13], java.lang.Object(java.lang.String(i3403[13])))≥COND_LOAD15508ARR4(&&(&&(&&(&&(>(i3403[13], 0), >(i3085[13], 0)), <(i3085[13], i4[13])), >(i3104[13], 0)), >(+(i3085[13], 1), 0)), java.lang.Object(ARRAY(i4[13], a30817data[13])), i3085[13], i71[13], i3104[13], java.lang.Object(java.lang.String(i3403[13])))∧(UIncreasing(COND_LOAD15508ARR4(&&(&&(&&(&&(>(i3403[13], 0), >(i3085[13], 0)), <(i3085[13], i4[13])), >(i3104[13], 0)), >(+(i3085[13], 1), 0)), java.lang.Object(ARRAY(i4[13], a30817data[13])), i3085[13], i71[13], i3104[13], java.lang.Object(java.lang.String(i3403[13])))), ≥))



    We simplified constraint (93) using rules (IV), (IDP_BOOLEAN) which results in the following new constraint:

    (94)    (>(+(i3085[13], 1), 0)=TRUE>(i3104[13], 0)=TRUE<(i3085[13], i4[13])=TRUE>(i3403[13], 0)=TRUE>(i3085[13], 0)=TRUELOAD15508ARR4(java.lang.Object(ARRAY(i4[13], a30817data[13])), i3085[13], i71[13], i3104[13], java.lang.Object(java.lang.String(i3403[13])))≥NonInfC∧LOAD15508ARR4(java.lang.Object(ARRAY(i4[13], a30817data[13])), i3085[13], i71[13], i3104[13], java.lang.Object(java.lang.String(i3403[13])))≥COND_LOAD15508ARR4(&&(&&(&&(&&(>(i3403[13], 0), >(i3085[13], 0)), <(i3085[13], i4[13])), >(i3104[13], 0)), >(+(i3085[13], 1), 0)), java.lang.Object(ARRAY(i4[13], a30817data[13])), i3085[13], i71[13], i3104[13], java.lang.Object(java.lang.String(i3403[13])))∧(UIncreasing(COND_LOAD15508ARR4(&&(&&(&&(&&(>(i3403[13], 0), >(i3085[13], 0)), <(i3085[13], i4[13])), >(i3104[13], 0)), >(+(i3085[13], 1), 0)), java.lang.Object(ARRAY(i4[13], a30817data[13])), i3085[13], i71[13], i3104[13], java.lang.Object(java.lang.String(i3403[13])))), ≥))



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

    (95)    (i3085[13] ≥ 0∧i3104[13] + [-1] ≥ 0∧i4[13] + [-1] + [-1]i3085[13] ≥ 0∧i3403[13] + [-1] ≥ 0∧i3085[13] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR4(&&(&&(&&(&&(>(i3403[13], 0), >(i3085[13], 0)), <(i3085[13], i4[13])), >(i3104[13], 0)), >(+(i3085[13], 1), 0)), java.lang.Object(ARRAY(i4[13], a30817data[13])), i3085[13], i71[13], i3104[13], java.lang.Object(java.lang.String(i3403[13])))), ≥)∧[(-2)bni_71 + (-1)Bound*bni_71] + [bni_71]i71[13] + [bni_71]i4[13] + [(-1)bni_71]i3085[13] ≥ 0∧[(-1)bso_72] ≥ 0)



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

    (96)    (i3085[13] ≥ 0∧i3104[13] + [-1] ≥ 0∧i4[13] + [-1] + [-1]i3085[13] ≥ 0∧i3403[13] + [-1] ≥ 0∧i3085[13] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR4(&&(&&(&&(&&(>(i3403[13], 0), >(i3085[13], 0)), <(i3085[13], i4[13])), >(i3104[13], 0)), >(+(i3085[13], 1), 0)), java.lang.Object(ARRAY(i4[13], a30817data[13])), i3085[13], i71[13], i3104[13], java.lang.Object(java.lang.String(i3403[13])))), ≥)∧[(-2)bni_71 + (-1)Bound*bni_71] + [bni_71]i71[13] + [bni_71]i4[13] + [(-1)bni_71]i3085[13] ≥ 0∧[(-1)bso_72] ≥ 0)



    We simplified constraint (96) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (97)    (i3085[13] ≥ 0∧i3104[13] + [-1] ≥ 0∧i4[13] + [-1] + [-1]i3085[13] ≥ 0∧i3403[13] + [-1] ≥ 0∧i3085[13] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR4(&&(&&(&&(&&(>(i3403[13], 0), >(i3085[13], 0)), <(i3085[13], i4[13])), >(i3104[13], 0)), >(+(i3085[13], 1), 0)), java.lang.Object(ARRAY(i4[13], a30817data[13])), i3085[13], i71[13], i3104[13], java.lang.Object(java.lang.String(i3403[13])))), ≥)∧[(-2)bni_71 + (-1)Bound*bni_71] + [bni_71]i71[13] + [bni_71]i4[13] + [(-1)bni_71]i3085[13] ≥ 0∧[(-1)bso_72] ≥ 0)



    We simplified constraint (97) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (98)    (i3085[13] ≥ 0∧i3104[13] + [-1] ≥ 0∧i4[13] + [-1] + [-1]i3085[13] ≥ 0∧i3403[13] + [-1] ≥ 0∧i3085[13] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR4(&&(&&(&&(&&(>(i3403[13], 0), >(i3085[13], 0)), <(i3085[13], i4[13])), >(i3104[13], 0)), >(+(i3085[13], 1), 0)), java.lang.Object(ARRAY(i4[13], a30817data[13])), i3085[13], i71[13], i3104[13], java.lang.Object(java.lang.String(i3403[13])))), ≥)∧[bni_71] = 0∧0 = 0∧[(-2)bni_71 + (-1)Bound*bni_71] + [bni_71]i4[13] + [(-1)bni_71]i3085[13] ≥ 0∧0 = 0∧0 = 0∧[(-1)bso_72] ≥ 0)



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

    (99)    ([1] + i3085[13] ≥ 0∧i3104[13] + [-1] ≥ 0∧i4[13] + [-2] + [-1]i3085[13] ≥ 0∧i3403[13] + [-1] ≥ 0∧i3085[13] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR4(&&(&&(&&(&&(>(i3403[13], 0), >(i3085[13], 0)), <(i3085[13], i4[13])), >(i3104[13], 0)), >(+(i3085[13], 1), 0)), java.lang.Object(ARRAY(i4[13], a30817data[13])), i3085[13], i71[13], i3104[13], java.lang.Object(java.lang.String(i3403[13])))), ≥)∧[bni_71] = 0∧0 = 0∧[(-3)bni_71 + (-1)Bound*bni_71] + [bni_71]i4[13] + [(-1)bni_71]i3085[13] ≥ 0∧0 = 0∧0 = 0∧[(-1)bso_72] ≥ 0)



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

    (100)    ([1] + i3085[13] ≥ 0∧i3104[13] ≥ 0∧i4[13] + [-2] + [-1]i3085[13] ≥ 0∧i3403[13] + [-1] ≥ 0∧i3085[13] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR4(&&(&&(&&(&&(>(i3403[13], 0), >(i3085[13], 0)), <(i3085[13], i4[13])), >(i3104[13], 0)), >(+(i3085[13], 1), 0)), java.lang.Object(ARRAY(i4[13], a30817data[13])), i3085[13], i71[13], i3104[13], java.lang.Object(java.lang.String(i3403[13])))), ≥)∧[bni_71] = 0∧0 = 0∧[(-3)bni_71 + (-1)Bound*bni_71] + [bni_71]i4[13] + [(-1)bni_71]i3085[13] ≥ 0∧0 = 0∧0 = 0∧[(-1)bso_72] ≥ 0)



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

    (101)    ([1] + i3085[13] ≥ 0∧i3104[13] ≥ 0∧i4[13] ≥ 0∧i3403[13] + [-1] ≥ 0∧i3085[13] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR4(&&(&&(&&(&&(>(i3403[13], 0), >(i3085[13], 0)), <(i3085[13], i4[13])), >(i3104[13], 0)), >(+(i3085[13], 1), 0)), java.lang.Object(ARRAY(i4[13], a30817data[13])), i3085[13], i71[13], i3104[13], java.lang.Object(java.lang.String(i3403[13])))), ≥)∧[bni_71] = 0∧0 = 0∧[(-1)Bound*bni_71 + (-1)bni_71] + [bni_71]i4[13] ≥ 0∧0 = 0∧0 = 0∧[(-1)bso_72] ≥ 0)



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

    (102)    ([1] + i3085[13] ≥ 0∧i3104[13] ≥ 0∧i4[13] ≥ 0∧i3403[13] ≥ 0∧i3085[13] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR4(&&(&&(&&(&&(>(i3403[13], 0), >(i3085[13], 0)), <(i3085[13], i4[13])), >(i3104[13], 0)), >(+(i3085[13], 1), 0)), java.lang.Object(ARRAY(i4[13], a30817data[13])), i3085[13], i71[13], i3104[13], java.lang.Object(java.lang.String(i3403[13])))), ≥)∧[bni_71] = 0∧0 = 0∧[(-1)Bound*bni_71 + (-1)bni_71] + [bni_71]i4[13] ≥ 0∧0 = 0∧0 = 0∧[(-1)bso_72] ≥ 0)







For Pair COND_LOAD15508ARR4(TRUE, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3403))) → LOAD15508(java.lang.Object(ARRAY(i4, a30817data)), +(i3085, 1), i71, +(i3104, -1)) the following chains were created:
  • We consider the chain COND_LOAD15508ARR4(TRUE, java.lang.Object(ARRAY(i4[14], a30817data[14])), i3085[14], i71[14], i3104[14], java.lang.Object(java.lang.String(i3403[14]))) → LOAD15508(java.lang.Object(ARRAY(i4[14], a30817data[14])), +(i3085[14], 1), i71[14], +(i3104[14], -1)) which results in the following constraint:

    (103)    (COND_LOAD15508ARR4(TRUE, java.lang.Object(ARRAY(i4[14], a30817data[14])), i3085[14], i71[14], i3104[14], java.lang.Object(java.lang.String(i3403[14])))≥NonInfC∧COND_LOAD15508ARR4(TRUE, java.lang.Object(ARRAY(i4[14], a30817data[14])), i3085[14], i71[14], i3104[14], java.lang.Object(java.lang.String(i3403[14])))≥LOAD15508(java.lang.Object(ARRAY(i4[14], a30817data[14])), +(i3085[14], 1), i71[14], +(i3104[14], -1))∧(UIncreasing(LOAD15508(java.lang.Object(ARRAY(i4[14], a30817data[14])), +(i3085[14], 1), i71[14], +(i3104[14], -1))), ≥))



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

    (104)    ((UIncreasing(LOAD15508(java.lang.Object(ARRAY(i4[14], a30817data[14])), +(i3085[14], 1), i71[14], +(i3104[14], -1))), ≥)∧[1 + (-1)bso_74] ≥ 0)



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

    (105)    ((UIncreasing(LOAD15508(java.lang.Object(ARRAY(i4[14], a30817data[14])), +(i3085[14], 1), i71[14], +(i3104[14], -1))), ≥)∧[1 + (-1)bso_74] ≥ 0)



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

    (106)    ((UIncreasing(LOAD15508(java.lang.Object(ARRAY(i4[14], a30817data[14])), +(i3085[14], 1), i71[14], +(i3104[14], -1))), ≥)∧[1 + (-1)bso_74] ≥ 0)



    We simplified constraint (106) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (107)    ((UIncreasing(LOAD15508(java.lang.Object(ARRAY(i4[14], a30817data[14])), +(i3085[14], 1), i71[14], +(i3104[14], -1))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_74] ≥ 0)







For Pair LOAD15508(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104) → LOAD15508ARR5(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3403))) the following chains were created:
  • We consider the chain LOAD15508(java.lang.Object(ARRAY(i4[15], a30817data[15])), i3085[15], i71[15], i3104[15]) → LOAD15508ARR5(java.lang.Object(ARRAY(i4[15], a30817data[15])), i3085[15], i71[15], i3104[15], java.lang.Object(java.lang.String(i3403[15]))) which results in the following constraint:

    (108)    (LOAD15508(java.lang.Object(ARRAY(i4[15], a30817data[15])), i3085[15], i71[15], i3104[15])≥NonInfC∧LOAD15508(java.lang.Object(ARRAY(i4[15], a30817data[15])), i3085[15], i71[15], i3104[15])≥LOAD15508ARR5(java.lang.Object(ARRAY(i4[15], a30817data[15])), i3085[15], i71[15], i3104[15], java.lang.Object(java.lang.String(i3403[15])))∧(UIncreasing(LOAD15508ARR5(java.lang.Object(ARRAY(i4[15], a30817data[15])), i3085[15], i71[15], i3104[15], java.lang.Object(java.lang.String(i3403[15])))), ≥))



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

    (109)    ((UIncreasing(LOAD15508ARR5(java.lang.Object(ARRAY(i4[15], a30817data[15])), i3085[15], i71[15], i3104[15], java.lang.Object(java.lang.String(i3403[15])))), ≥)∧[(-1)bso_76] ≥ 0)



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

    (110)    ((UIncreasing(LOAD15508ARR5(java.lang.Object(ARRAY(i4[15], a30817data[15])), i3085[15], i71[15], i3104[15], java.lang.Object(java.lang.String(i3403[15])))), ≥)∧[(-1)bso_76] ≥ 0)



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

    (111)    ((UIncreasing(LOAD15508ARR5(java.lang.Object(ARRAY(i4[15], a30817data[15])), i3085[15], i71[15], i3104[15], java.lang.Object(java.lang.String(i3403[15])))), ≥)∧[(-1)bso_76] ≥ 0)



    We simplified constraint (111) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (112)    ((UIncreasing(LOAD15508ARR5(java.lang.Object(ARRAY(i4[15], a30817data[15])), i3085[15], i71[15], i3104[15], java.lang.Object(java.lang.String(i3403[15])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_76] ≥ 0)







For Pair LOAD15508ARR5(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3403))) → COND_LOAD15508ARR5(&&(&&(&&(&&(>(i3403, 0), >(i3085, 0)), <(i3085, i4)), >(i3104, 0)), >(+(i3085, 1), 0)), java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3403))) the following chains were created:
  • We consider the chain LOAD15508ARR5(java.lang.Object(ARRAY(i4[16], a30817data[16])), i3085[16], i71[16], i3104[16], java.lang.Object(java.lang.String(i3403[16]))) → COND_LOAD15508ARR5(&&(&&(&&(&&(>(i3403[16], 0), >(i3085[16], 0)), <(i3085[16], i4[16])), >(i3104[16], 0)), >(+(i3085[16], 1), 0)), java.lang.Object(ARRAY(i4[16], a30817data[16])), i3085[16], i71[16], i3104[16], java.lang.Object(java.lang.String(i3403[16]))), COND_LOAD15508ARR5(TRUE, java.lang.Object(ARRAY(i4[17], a30817data[17])), i3085[17], i71[17], i3104[17], java.lang.Object(java.lang.String(i3403[17]))) → JMP17958'(java.lang.Object(ARRAY(i4[17], a30817data[17])), +(i3085[17], 1), i71[17], i3104[17]) which results in the following constraint:

    (113)    (i3104[16]=i3104[17]i4[16]=i4[17]a30817data[16]=a30817data[17]i3403[16]=i3403[17]i3085[16]=i3085[17]&&(&&(&&(&&(>(i3403[16], 0), >(i3085[16], 0)), <(i3085[16], i4[16])), >(i3104[16], 0)), >(+(i3085[16], 1), 0))=TRUEi71[16]=i71[17]LOAD15508ARR5(java.lang.Object(ARRAY(i4[16], a30817data[16])), i3085[16], i71[16], i3104[16], java.lang.Object(java.lang.String(i3403[16])))≥NonInfC∧LOAD15508ARR5(java.lang.Object(ARRAY(i4[16], a30817data[16])), i3085[16], i71[16], i3104[16], java.lang.Object(java.lang.String(i3403[16])))≥COND_LOAD15508ARR5(&&(&&(&&(&&(>(i3403[16], 0), >(i3085[16], 0)), <(i3085[16], i4[16])), >(i3104[16], 0)), >(+(i3085[16], 1), 0)), java.lang.Object(ARRAY(i4[16], a30817data[16])), i3085[16], i71[16], i3104[16], java.lang.Object(java.lang.String(i3403[16])))∧(UIncreasing(COND_LOAD15508ARR5(&&(&&(&&(&&(>(i3403[16], 0), >(i3085[16], 0)), <(i3085[16], i4[16])), >(i3104[16], 0)), >(+(i3085[16], 1), 0)), java.lang.Object(ARRAY(i4[16], a30817data[16])), i3085[16], i71[16], i3104[16], java.lang.Object(java.lang.String(i3403[16])))), ≥))



    We simplified constraint (113) using rules (IV), (IDP_BOOLEAN) which results in the following new constraint:

    (114)    (>(+(i3085[16], 1), 0)=TRUE>(i3104[16], 0)=TRUE<(i3085[16], i4[16])=TRUE>(i3403[16], 0)=TRUE>(i3085[16], 0)=TRUELOAD15508ARR5(java.lang.Object(ARRAY(i4[16], a30817data[16])), i3085[16], i71[16], i3104[16], java.lang.Object(java.lang.String(i3403[16])))≥NonInfC∧LOAD15508ARR5(java.lang.Object(ARRAY(i4[16], a30817data[16])), i3085[16], i71[16], i3104[16], java.lang.Object(java.lang.String(i3403[16])))≥COND_LOAD15508ARR5(&&(&&(&&(&&(>(i3403[16], 0), >(i3085[16], 0)), <(i3085[16], i4[16])), >(i3104[16], 0)), >(+(i3085[16], 1), 0)), java.lang.Object(ARRAY(i4[16], a30817data[16])), i3085[16], i71[16], i3104[16], java.lang.Object(java.lang.String(i3403[16])))∧(UIncreasing(COND_LOAD15508ARR5(&&(&&(&&(&&(>(i3403[16], 0), >(i3085[16], 0)), <(i3085[16], i4[16])), >(i3104[16], 0)), >(+(i3085[16], 1), 0)), java.lang.Object(ARRAY(i4[16], a30817data[16])), i3085[16], i71[16], i3104[16], java.lang.Object(java.lang.String(i3403[16])))), ≥))



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

    (115)    (i3085[16] ≥ 0∧i3104[16] + [-1] ≥ 0∧i4[16] + [-1] + [-1]i3085[16] ≥ 0∧i3403[16] + [-1] ≥ 0∧i3085[16] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR5(&&(&&(&&(&&(>(i3403[16], 0), >(i3085[16], 0)), <(i3085[16], i4[16])), >(i3104[16], 0)), >(+(i3085[16], 1), 0)), java.lang.Object(ARRAY(i4[16], a30817data[16])), i3085[16], i71[16], i3104[16], java.lang.Object(java.lang.String(i3403[16])))), ≥)∧[(-2)bni_77 + (-1)Bound*bni_77] + [bni_77]i71[16] + [bni_77]i4[16] + [(-1)bni_77]i3085[16] ≥ 0∧[(-1)bso_78] ≥ 0)



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

    (116)    (i3085[16] ≥ 0∧i3104[16] + [-1] ≥ 0∧i4[16] + [-1] + [-1]i3085[16] ≥ 0∧i3403[16] + [-1] ≥ 0∧i3085[16] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR5(&&(&&(&&(&&(>(i3403[16], 0), >(i3085[16], 0)), <(i3085[16], i4[16])), >(i3104[16], 0)), >(+(i3085[16], 1), 0)), java.lang.Object(ARRAY(i4[16], a30817data[16])), i3085[16], i71[16], i3104[16], java.lang.Object(java.lang.String(i3403[16])))), ≥)∧[(-2)bni_77 + (-1)Bound*bni_77] + [bni_77]i71[16] + [bni_77]i4[16] + [(-1)bni_77]i3085[16] ≥ 0∧[(-1)bso_78] ≥ 0)



    We simplified constraint (116) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (117)    (i3085[16] ≥ 0∧i3104[16] + [-1] ≥ 0∧i4[16] + [-1] + [-1]i3085[16] ≥ 0∧i3403[16] + [-1] ≥ 0∧i3085[16] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR5(&&(&&(&&(&&(>(i3403[16], 0), >(i3085[16], 0)), <(i3085[16], i4[16])), >(i3104[16], 0)), >(+(i3085[16], 1), 0)), java.lang.Object(ARRAY(i4[16], a30817data[16])), i3085[16], i71[16], i3104[16], java.lang.Object(java.lang.String(i3403[16])))), ≥)∧[(-2)bni_77 + (-1)Bound*bni_77] + [bni_77]i71[16] + [bni_77]i4[16] + [(-1)bni_77]i3085[16] ≥ 0∧[(-1)bso_78] ≥ 0)



    We simplified constraint (117) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (118)    (i3085[16] ≥ 0∧i3104[16] + [-1] ≥ 0∧i4[16] + [-1] + [-1]i3085[16] ≥ 0∧i3403[16] + [-1] ≥ 0∧i3085[16] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR5(&&(&&(&&(&&(>(i3403[16], 0), >(i3085[16], 0)), <(i3085[16], i4[16])), >(i3104[16], 0)), >(+(i3085[16], 1), 0)), java.lang.Object(ARRAY(i4[16], a30817data[16])), i3085[16], i71[16], i3104[16], java.lang.Object(java.lang.String(i3403[16])))), ≥)∧[bni_77] = 0∧0 = 0∧[(-2)bni_77 + (-1)Bound*bni_77] + [bni_77]i4[16] + [(-1)bni_77]i3085[16] ≥ 0∧0 = 0∧0 = 0∧[(-1)bso_78] ≥ 0)



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

    (119)    ([1] + i3085[16] ≥ 0∧i3104[16] + [-1] ≥ 0∧i4[16] + [-2] + [-1]i3085[16] ≥ 0∧i3403[16] + [-1] ≥ 0∧i3085[16] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR5(&&(&&(&&(&&(>(i3403[16], 0), >(i3085[16], 0)), <(i3085[16], i4[16])), >(i3104[16], 0)), >(+(i3085[16], 1), 0)), java.lang.Object(ARRAY(i4[16], a30817data[16])), i3085[16], i71[16], i3104[16], java.lang.Object(java.lang.String(i3403[16])))), ≥)∧[bni_77] = 0∧0 = 0∧[(-3)bni_77 + (-1)Bound*bni_77] + [bni_77]i4[16] + [(-1)bni_77]i3085[16] ≥ 0∧0 = 0∧0 = 0∧[(-1)bso_78] ≥ 0)



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

    (120)    ([1] + i3085[16] ≥ 0∧i3104[16] ≥ 0∧i4[16] + [-2] + [-1]i3085[16] ≥ 0∧i3403[16] + [-1] ≥ 0∧i3085[16] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR5(&&(&&(&&(&&(>(i3403[16], 0), >(i3085[16], 0)), <(i3085[16], i4[16])), >(i3104[16], 0)), >(+(i3085[16], 1), 0)), java.lang.Object(ARRAY(i4[16], a30817data[16])), i3085[16], i71[16], i3104[16], java.lang.Object(java.lang.String(i3403[16])))), ≥)∧[bni_77] = 0∧0 = 0∧[(-3)bni_77 + (-1)Bound*bni_77] + [bni_77]i4[16] + [(-1)bni_77]i3085[16] ≥ 0∧0 = 0∧0 = 0∧[(-1)bso_78] ≥ 0)



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

    (121)    ([1] + i3085[16] ≥ 0∧i3104[16] ≥ 0∧i4[16] ≥ 0∧i3403[16] + [-1] ≥ 0∧i3085[16] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR5(&&(&&(&&(&&(>(i3403[16], 0), >(i3085[16], 0)), <(i3085[16], i4[16])), >(i3104[16], 0)), >(+(i3085[16], 1), 0)), java.lang.Object(ARRAY(i4[16], a30817data[16])), i3085[16], i71[16], i3104[16], java.lang.Object(java.lang.String(i3403[16])))), ≥)∧[bni_77] = 0∧0 = 0∧[(-1)Bound*bni_77 + (-1)bni_77] + [bni_77]i4[16] ≥ 0∧0 = 0∧0 = 0∧[(-1)bso_78] ≥ 0)



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

    (122)    ([1] + i3085[16] ≥ 0∧i3104[16] ≥ 0∧i4[16] ≥ 0∧i3403[16] ≥ 0∧i3085[16] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR5(&&(&&(&&(&&(>(i3403[16], 0), >(i3085[16], 0)), <(i3085[16], i4[16])), >(i3104[16], 0)), >(+(i3085[16], 1), 0)), java.lang.Object(ARRAY(i4[16], a30817data[16])), i3085[16], i71[16], i3104[16], java.lang.Object(java.lang.String(i3403[16])))), ≥)∧[bni_77] = 0∧0 = 0∧[(-1)Bound*bni_77 + (-1)bni_77] + [bni_77]i4[16] ≥ 0∧0 = 0∧0 = 0∧[(-1)bso_78] ≥ 0)







For Pair COND_LOAD15508ARR5(TRUE, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3403))) → JMP17958'(java.lang.Object(ARRAY(i4, a30817data)), +(i3085, 1), i71, i3104) the following chains were created:
  • We consider the chain COND_LOAD15508ARR5(TRUE, java.lang.Object(ARRAY(i4[17], a30817data[17])), i3085[17], i71[17], i3104[17], java.lang.Object(java.lang.String(i3403[17]))) → JMP17958'(java.lang.Object(ARRAY(i4[17], a30817data[17])), +(i3085[17], 1), i71[17], i3104[17]) which results in the following constraint:

    (123)    (COND_LOAD15508ARR5(TRUE, java.lang.Object(ARRAY(i4[17], a30817data[17])), i3085[17], i71[17], i3104[17], java.lang.Object(java.lang.String(i3403[17])))≥NonInfC∧COND_LOAD15508ARR5(TRUE, java.lang.Object(ARRAY(i4[17], a30817data[17])), i3085[17], i71[17], i3104[17], java.lang.Object(java.lang.String(i3403[17])))≥JMP17958'(java.lang.Object(ARRAY(i4[17], a30817data[17])), +(i3085[17], 1), i71[17], i3104[17])∧(UIncreasing(JMP17958'(java.lang.Object(ARRAY(i4[17], a30817data[17])), +(i3085[17], 1), i71[17], i3104[17])), ≥))



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

    (124)    ((UIncreasing(JMP17958'(java.lang.Object(ARRAY(i4[17], a30817data[17])), +(i3085[17], 1), i71[17], i3104[17])), ≥)∧[1 + (-1)bso_80] ≥ 0)



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

    (125)    ((UIncreasing(JMP17958'(java.lang.Object(ARRAY(i4[17], a30817data[17])), +(i3085[17], 1), i71[17], i3104[17])), ≥)∧[1 + (-1)bso_80] ≥ 0)



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

    (126)    ((UIncreasing(JMP17958'(java.lang.Object(ARRAY(i4[17], a30817data[17])), +(i3085[17], 1), i71[17], i3104[17])), ≥)∧[1 + (-1)bso_80] ≥ 0)



    We simplified constraint (126) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (127)    ((UIncreasing(JMP17958'(java.lang.Object(ARRAY(i4[17], a30817data[17])), +(i3085[17], 1), i71[17], i3104[17])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_80] ≥ 0)







For Pair JMP17958'(java.lang.Object(ARRAY(i4, a30817data)), i3158, i71, i3104) → INC18057(java.lang.Object(ARRAY(i4, a30817data)), i3158, i71, i3104) the following chains were created:
  • We consider the chain JMP17958'(java.lang.Object(ARRAY(i4[18], a30817data[18])), i3158[18], i71[18], i3104[18]) → INC18057(java.lang.Object(ARRAY(i4[18], a30817data[18])), i3158[18], i71[18], i3104[18]), INC18057(java.lang.Object(ARRAY(i4[8], a30817data[8])), i3158[8], i71[8], i3104[8]) → LOAD15508(java.lang.Object(ARRAY(i4[8], a30817data[8])), i3158[8], i71[8], +(i3104[8], -1)) which results in the following constraint:

    (128)    (i4[18]=i4[8]a30817data[18]=a30817data[8]i71[18]=i71[8]i3104[18]=i3104[8]i3158[18]=i3158[8]JMP17958'(java.lang.Object(ARRAY(i4[18], a30817data[18])), i3158[18], i71[18], i3104[18])≥NonInfC∧JMP17958'(java.lang.Object(ARRAY(i4[18], a30817data[18])), i3158[18], i71[18], i3104[18])≥INC18057(java.lang.Object(ARRAY(i4[18], a30817data[18])), i3158[18], i71[18], i3104[18])∧(UIncreasing(INC18057(java.lang.Object(ARRAY(i4[18], a30817data[18])), i3158[18], i71[18], i3104[18])), ≥))



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

    (129)    (JMP17958'(java.lang.Object(ARRAY(i4[18], a30817data[18])), i3158[18], i71[18], i3104[18])≥NonInfC∧JMP17958'(java.lang.Object(ARRAY(i4[18], a30817data[18])), i3158[18], i71[18], i3104[18])≥INC18057(java.lang.Object(ARRAY(i4[18], a30817data[18])), i3158[18], i71[18], i3104[18])∧(UIncreasing(INC18057(java.lang.Object(ARRAY(i4[18], a30817data[18])), i3158[18], i71[18], i3104[18])), ≥))



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

    (130)    ((UIncreasing(INC18057(java.lang.Object(ARRAY(i4[18], a30817data[18])), i3158[18], i71[18], i3104[18])), ≥)∧[(-1)bso_82] ≥ 0)



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

    (131)    ((UIncreasing(INC18057(java.lang.Object(ARRAY(i4[18], a30817data[18])), i3158[18], i71[18], i3104[18])), ≥)∧[(-1)bso_82] ≥ 0)



    We simplified constraint (131) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (132)    ((UIncreasing(INC18057(java.lang.Object(ARRAY(i4[18], a30817data[18])), i3158[18], i71[18], i3104[18])), ≥)∧[(-1)bso_82] ≥ 0)



    We simplified constraint (132) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (133)    ((UIncreasing(INC18057(java.lang.Object(ARRAY(i4[18], a30817data[18])), i3158[18], i71[18], i3104[18])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_82] ≥ 0)







For Pair LOAD15508(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104) → LOAD15508ARR6(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3403))) the following chains were created:
  • We consider the chain LOAD15508(java.lang.Object(ARRAY(i4[19], a30817data[19])), i3085[19], i71[19], i3104[19]) → LOAD15508ARR6(java.lang.Object(ARRAY(i4[19], a30817data[19])), i3085[19], i71[19], i3104[19], java.lang.Object(java.lang.String(i3403[19]))) which results in the following constraint:

    (134)    (LOAD15508(java.lang.Object(ARRAY(i4[19], a30817data[19])), i3085[19], i71[19], i3104[19])≥NonInfC∧LOAD15508(java.lang.Object(ARRAY(i4[19], a30817data[19])), i3085[19], i71[19], i3104[19])≥LOAD15508ARR6(java.lang.Object(ARRAY(i4[19], a30817data[19])), i3085[19], i71[19], i3104[19], java.lang.Object(java.lang.String(i3403[19])))∧(UIncreasing(LOAD15508ARR6(java.lang.Object(ARRAY(i4[19], a30817data[19])), i3085[19], i71[19], i3104[19], java.lang.Object(java.lang.String(i3403[19])))), ≥))



    We simplified constraint (134) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (135)    ((UIncreasing(LOAD15508ARR6(java.lang.Object(ARRAY(i4[19], a30817data[19])), i3085[19], i71[19], i3104[19], java.lang.Object(java.lang.String(i3403[19])))), ≥)∧[(-1)bso_84] ≥ 0)



    We simplified constraint (135) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (136)    ((UIncreasing(LOAD15508ARR6(java.lang.Object(ARRAY(i4[19], a30817data[19])), i3085[19], i71[19], i3104[19], java.lang.Object(java.lang.String(i3403[19])))), ≥)∧[(-1)bso_84] ≥ 0)



    We simplified constraint (136) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (137)    ((UIncreasing(LOAD15508ARR6(java.lang.Object(ARRAY(i4[19], a30817data[19])), i3085[19], i71[19], i3104[19], java.lang.Object(java.lang.String(i3403[19])))), ≥)∧[(-1)bso_84] ≥ 0)



    We simplified constraint (137) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (138)    ((UIncreasing(LOAD15508ARR6(java.lang.Object(ARRAY(i4[19], a30817data[19])), i3085[19], i71[19], i3104[19], java.lang.Object(java.lang.String(i3403[19])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_84] ≥ 0)







For Pair LOAD15508ARR6(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3403))) → COND_LOAD15508ARR6(&&(&&(&&(&&(>(i3403, 0), >(i3085, 0)), <(i3085, i4)), >(i3104, 0)), >(+(i3085, 1), 0)), java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3403))) the following chains were created:
  • We consider the chain LOAD15508ARR6(java.lang.Object(ARRAY(i4[20], a30817data[20])), i3085[20], i71[20], i3104[20], java.lang.Object(java.lang.String(i3403[20]))) → COND_LOAD15508ARR6(&&(&&(&&(&&(>(i3403[20], 0), >(i3085[20], 0)), <(i3085[20], i4[20])), >(i3104[20], 0)), >(+(i3085[20], 1), 0)), java.lang.Object(ARRAY(i4[20], a30817data[20])), i3085[20], i71[20], i3104[20], java.lang.Object(java.lang.String(i3403[20]))), COND_LOAD15508ARR6(TRUE, java.lang.Object(ARRAY(i4[21], a30817data[21])), i3085[21], i71[21], i3104[21], java.lang.Object(java.lang.String(i3403[21]))) → INC18057(java.lang.Object(ARRAY(i4[21], a30817data[21])), +(i3085[21], 1), i71[21], i3104[21]) which results in the following constraint:

    (139)    (&&(&&(&&(&&(>(i3403[20], 0), >(i3085[20], 0)), <(i3085[20], i4[20])), >(i3104[20], 0)), >(+(i3085[20], 1), 0))=TRUEi3104[20]=i3104[21]i71[20]=i71[21]i3403[20]=i3403[21]i4[20]=i4[21]a30817data[20]=a30817data[21]i3085[20]=i3085[21]LOAD15508ARR6(java.lang.Object(ARRAY(i4[20], a30817data[20])), i3085[20], i71[20], i3104[20], java.lang.Object(java.lang.String(i3403[20])))≥NonInfC∧LOAD15508ARR6(java.lang.Object(ARRAY(i4[20], a30817data[20])), i3085[20], i71[20], i3104[20], java.lang.Object(java.lang.String(i3403[20])))≥COND_LOAD15508ARR6(&&(&&(&&(&&(>(i3403[20], 0), >(i3085[20], 0)), <(i3085[20], i4[20])), >(i3104[20], 0)), >(+(i3085[20], 1), 0)), java.lang.Object(ARRAY(i4[20], a30817data[20])), i3085[20], i71[20], i3104[20], java.lang.Object(java.lang.String(i3403[20])))∧(UIncreasing(COND_LOAD15508ARR6(&&(&&(&&(&&(>(i3403[20], 0), >(i3085[20], 0)), <(i3085[20], i4[20])), >(i3104[20], 0)), >(+(i3085[20], 1), 0)), java.lang.Object(ARRAY(i4[20], a30817data[20])), i3085[20], i71[20], i3104[20], java.lang.Object(java.lang.String(i3403[20])))), ≥))



    We simplified constraint (139) using rules (IV), (IDP_BOOLEAN) which results in the following new constraint:

    (140)    (>(+(i3085[20], 1), 0)=TRUE>(i3104[20], 0)=TRUE<(i3085[20], i4[20])=TRUE>(i3403[20], 0)=TRUE>(i3085[20], 0)=TRUELOAD15508ARR6(java.lang.Object(ARRAY(i4[20], a30817data[20])), i3085[20], i71[20], i3104[20], java.lang.Object(java.lang.String(i3403[20])))≥NonInfC∧LOAD15508ARR6(java.lang.Object(ARRAY(i4[20], a30817data[20])), i3085[20], i71[20], i3104[20], java.lang.Object(java.lang.String(i3403[20])))≥COND_LOAD15508ARR6(&&(&&(&&(&&(>(i3403[20], 0), >(i3085[20], 0)), <(i3085[20], i4[20])), >(i3104[20], 0)), >(+(i3085[20], 1), 0)), java.lang.Object(ARRAY(i4[20], a30817data[20])), i3085[20], i71[20], i3104[20], java.lang.Object(java.lang.String(i3403[20])))∧(UIncreasing(COND_LOAD15508ARR6(&&(&&(&&(&&(>(i3403[20], 0), >(i3085[20], 0)), <(i3085[20], i4[20])), >(i3104[20], 0)), >(+(i3085[20], 1), 0)), java.lang.Object(ARRAY(i4[20], a30817data[20])), i3085[20], i71[20], i3104[20], java.lang.Object(java.lang.String(i3403[20])))), ≥))



    We simplified constraint (140) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (141)    (i3085[20] ≥ 0∧i3104[20] + [-1] ≥ 0∧i4[20] + [-1] + [-1]i3085[20] ≥ 0∧i3403[20] + [-1] ≥ 0∧i3085[20] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR6(&&(&&(&&(&&(>(i3403[20], 0), >(i3085[20], 0)), <(i3085[20], i4[20])), >(i3104[20], 0)), >(+(i3085[20], 1), 0)), java.lang.Object(ARRAY(i4[20], a30817data[20])), i3085[20], i71[20], i3104[20], java.lang.Object(java.lang.String(i3403[20])))), ≥)∧[(-2)bni_85 + (-1)Bound*bni_85] + [bni_85]i71[20] + [(-1)bni_85]i3085[20] + [bni_85]i4[20] ≥ 0∧[(-1)bso_86] ≥ 0)



    We simplified constraint (141) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (142)    (i3085[20] ≥ 0∧i3104[20] + [-1] ≥ 0∧i4[20] + [-1] + [-1]i3085[20] ≥ 0∧i3403[20] + [-1] ≥ 0∧i3085[20] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR6(&&(&&(&&(&&(>(i3403[20], 0), >(i3085[20], 0)), <(i3085[20], i4[20])), >(i3104[20], 0)), >(+(i3085[20], 1), 0)), java.lang.Object(ARRAY(i4[20], a30817data[20])), i3085[20], i71[20], i3104[20], java.lang.Object(java.lang.String(i3403[20])))), ≥)∧[(-2)bni_85 + (-1)Bound*bni_85] + [bni_85]i71[20] + [(-1)bni_85]i3085[20] + [bni_85]i4[20] ≥ 0∧[(-1)bso_86] ≥ 0)



    We simplified constraint (142) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (143)    (i3085[20] ≥ 0∧i3104[20] + [-1] ≥ 0∧i4[20] + [-1] + [-1]i3085[20] ≥ 0∧i3403[20] + [-1] ≥ 0∧i3085[20] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR6(&&(&&(&&(&&(>(i3403[20], 0), >(i3085[20], 0)), <(i3085[20], i4[20])), >(i3104[20], 0)), >(+(i3085[20], 1), 0)), java.lang.Object(ARRAY(i4[20], a30817data[20])), i3085[20], i71[20], i3104[20], java.lang.Object(java.lang.String(i3403[20])))), ≥)∧[(-2)bni_85 + (-1)Bound*bni_85] + [bni_85]i71[20] + [(-1)bni_85]i3085[20] + [bni_85]i4[20] ≥ 0∧[(-1)bso_86] ≥ 0)



    We simplified constraint (143) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (144)    (i3085[20] ≥ 0∧i3104[20] + [-1] ≥ 0∧i4[20] + [-1] + [-1]i3085[20] ≥ 0∧i3403[20] + [-1] ≥ 0∧i3085[20] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR6(&&(&&(&&(&&(>(i3403[20], 0), >(i3085[20], 0)), <(i3085[20], i4[20])), >(i3104[20], 0)), >(+(i3085[20], 1), 0)), java.lang.Object(ARRAY(i4[20], a30817data[20])), i3085[20], i71[20], i3104[20], java.lang.Object(java.lang.String(i3403[20])))), ≥)∧[bni_85] = 0∧0 = 0∧[(-2)bni_85 + (-1)Bound*bni_85] + [(-1)bni_85]i3085[20] + [bni_85]i4[20] ≥ 0∧0 = 0∧0 = 0∧[(-1)bso_86] ≥ 0)



    We simplified constraint (144) using rule (IDP_SMT_SPLIT) which results in the following new constraint:

    (145)    ([1] + i3085[20] ≥ 0∧i3104[20] + [-1] ≥ 0∧i4[20] + [-2] + [-1]i3085[20] ≥ 0∧i3403[20] + [-1] ≥ 0∧i3085[20] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR6(&&(&&(&&(&&(>(i3403[20], 0), >(i3085[20], 0)), <(i3085[20], i4[20])), >(i3104[20], 0)), >(+(i3085[20], 1), 0)), java.lang.Object(ARRAY(i4[20], a30817data[20])), i3085[20], i71[20], i3104[20], java.lang.Object(java.lang.String(i3403[20])))), ≥)∧[bni_85] = 0∧0 = 0∧[(-3)bni_85 + (-1)Bound*bni_85] + [(-1)bni_85]i3085[20] + [bni_85]i4[20] ≥ 0∧0 = 0∧0 = 0∧[(-1)bso_86] ≥ 0)



    We simplified constraint (145) using rule (IDP_SMT_SPLIT) which results in the following new constraint:

    (146)    ([1] + i3085[20] ≥ 0∧i3104[20] ≥ 0∧i4[20] + [-2] + [-1]i3085[20] ≥ 0∧i3403[20] + [-1] ≥ 0∧i3085[20] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR6(&&(&&(&&(&&(>(i3403[20], 0), >(i3085[20], 0)), <(i3085[20], i4[20])), >(i3104[20], 0)), >(+(i3085[20], 1), 0)), java.lang.Object(ARRAY(i4[20], a30817data[20])), i3085[20], i71[20], i3104[20], java.lang.Object(java.lang.String(i3403[20])))), ≥)∧[bni_85] = 0∧0 = 0∧[(-3)bni_85 + (-1)Bound*bni_85] + [(-1)bni_85]i3085[20] + [bni_85]i4[20] ≥ 0∧0 = 0∧0 = 0∧[(-1)bso_86] ≥ 0)



    We simplified constraint (146) using rule (IDP_SMT_SPLIT) which results in the following new constraint:

    (147)    ([1] + i3085[20] ≥ 0∧i3104[20] ≥ 0∧i4[20] ≥ 0∧i3403[20] + [-1] ≥ 0∧i3085[20] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR6(&&(&&(&&(&&(>(i3403[20], 0), >(i3085[20], 0)), <(i3085[20], i4[20])), >(i3104[20], 0)), >(+(i3085[20], 1), 0)), java.lang.Object(ARRAY(i4[20], a30817data[20])), i3085[20], i71[20], i3104[20], java.lang.Object(java.lang.String(i3403[20])))), ≥)∧[bni_85] = 0∧0 = 0∧[(-1)bni_85 + (-1)Bound*bni_85] + [bni_85]i4[20] ≥ 0∧0 = 0∧0 = 0∧[(-1)bso_86] ≥ 0)



    We simplified constraint (147) using rule (IDP_SMT_SPLIT) which results in the following new constraint:

    (148)    ([1] + i3085[20] ≥ 0∧i3104[20] ≥ 0∧i4[20] ≥ 0∧i3403[20] ≥ 0∧i3085[20] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR6(&&(&&(&&(&&(>(i3403[20], 0), >(i3085[20], 0)), <(i3085[20], i4[20])), >(i3104[20], 0)), >(+(i3085[20], 1), 0)), java.lang.Object(ARRAY(i4[20], a30817data[20])), i3085[20], i71[20], i3104[20], java.lang.Object(java.lang.String(i3403[20])))), ≥)∧[bni_85] = 0∧0 = 0∧[(-1)bni_85 + (-1)Bound*bni_85] + [bni_85]i4[20] ≥ 0∧0 = 0∧0 = 0∧[(-1)bso_86] ≥ 0)







For Pair COND_LOAD15508ARR6(TRUE, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3403))) → INC18057(java.lang.Object(ARRAY(i4, a30817data)), +(i3085, 1), i71, i3104) the following chains were created:
  • We consider the chain COND_LOAD15508ARR6(TRUE, java.lang.Object(ARRAY(i4[21], a30817data[21])), i3085[21], i71[21], i3104[21], java.lang.Object(java.lang.String(i3403[21]))) → INC18057(java.lang.Object(ARRAY(i4[21], a30817data[21])), +(i3085[21], 1), i71[21], i3104[21]) which results in the following constraint:

    (149)    (COND_LOAD15508ARR6(TRUE, java.lang.Object(ARRAY(i4[21], a30817data[21])), i3085[21], i71[21], i3104[21], java.lang.Object(java.lang.String(i3403[21])))≥NonInfC∧COND_LOAD15508ARR6(TRUE, java.lang.Object(ARRAY(i4[21], a30817data[21])), i3085[21], i71[21], i3104[21], java.lang.Object(java.lang.String(i3403[21])))≥INC18057(java.lang.Object(ARRAY(i4[21], a30817data[21])), +(i3085[21], 1), i71[21], i3104[21])∧(UIncreasing(INC18057(java.lang.Object(ARRAY(i4[21], a30817data[21])), +(i3085[21], 1), i71[21], i3104[21])), ≥))



    We simplified constraint (149) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (150)    ((UIncreasing(INC18057(java.lang.Object(ARRAY(i4[21], a30817data[21])), +(i3085[21], 1), i71[21], i3104[21])), ≥)∧[1 + (-1)bso_88] ≥ 0)



    We simplified constraint (150) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (151)    ((UIncreasing(INC18057(java.lang.Object(ARRAY(i4[21], a30817data[21])), +(i3085[21], 1), i71[21], i3104[21])), ≥)∧[1 + (-1)bso_88] ≥ 0)



    We simplified constraint (151) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (152)    ((UIncreasing(INC18057(java.lang.Object(ARRAY(i4[21], a30817data[21])), +(i3085[21], 1), i71[21], i3104[21])), ≥)∧[1 + (-1)bso_88] ≥ 0)



    We simplified constraint (152) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (153)    ((UIncreasing(INC18057(java.lang.Object(ARRAY(i4[21], a30817data[21])), +(i3085[21], 1), i71[21], i3104[21])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_88] ≥ 0)







For Pair LOAD15508(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104) → LOAD15508ARR7(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3404))) the following chains were created:
  • We consider the chain LOAD15508(java.lang.Object(ARRAY(i4[22], a30817data[22])), i3085[22], i71[22], i3104[22]) → LOAD15508ARR7(java.lang.Object(ARRAY(i4[22], a30817data[22])), i3085[22], i71[22], i3104[22], java.lang.Object(java.lang.String(i3404[22]))) which results in the following constraint:

    (154)    (LOAD15508(java.lang.Object(ARRAY(i4[22], a30817data[22])), i3085[22], i71[22], i3104[22])≥NonInfC∧LOAD15508(java.lang.Object(ARRAY(i4[22], a30817data[22])), i3085[22], i71[22], i3104[22])≥LOAD15508ARR7(java.lang.Object(ARRAY(i4[22], a30817data[22])), i3085[22], i71[22], i3104[22], java.lang.Object(java.lang.String(i3404[22])))∧(UIncreasing(LOAD15508ARR7(java.lang.Object(ARRAY(i4[22], a30817data[22])), i3085[22], i71[22], i3104[22], java.lang.Object(java.lang.String(i3404[22])))), ≥))



    We simplified constraint (154) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (155)    ((UIncreasing(LOAD15508ARR7(java.lang.Object(ARRAY(i4[22], a30817data[22])), i3085[22], i71[22], i3104[22], java.lang.Object(java.lang.String(i3404[22])))), ≥)∧[(-1)bso_90] ≥ 0)



    We simplified constraint (155) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (156)    ((UIncreasing(LOAD15508ARR7(java.lang.Object(ARRAY(i4[22], a30817data[22])), i3085[22], i71[22], i3104[22], java.lang.Object(java.lang.String(i3404[22])))), ≥)∧[(-1)bso_90] ≥ 0)



    We simplified constraint (156) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (157)    ((UIncreasing(LOAD15508ARR7(java.lang.Object(ARRAY(i4[22], a30817data[22])), i3085[22], i71[22], i3104[22], java.lang.Object(java.lang.String(i3404[22])))), ≥)∧[(-1)bso_90] ≥ 0)



    We simplified constraint (157) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (158)    ((UIncreasing(LOAD15508ARR7(java.lang.Object(ARRAY(i4[22], a30817data[22])), i3085[22], i71[22], i3104[22], java.lang.Object(java.lang.String(i3404[22])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_90] ≥ 0)







For Pair LOAD15508ARR7(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3404))) → COND_LOAD15508ARR7(&&(&&(&&(&&(<=(i3404, 0), >(i3085, 0)), <(i3085, i4)), >(i3104, 0)), >(+(i3085, 1), 0)), java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3404))) the following chains were created:
  • We consider the chain LOAD15508ARR7(java.lang.Object(ARRAY(i4[23], a30817data[23])), i3085[23], i71[23], i3104[23], java.lang.Object(java.lang.String(i3404[23]))) → COND_LOAD15508ARR7(&&(&&(&&(&&(<=(i3404[23], 0), >(i3085[23], 0)), <(i3085[23], i4[23])), >(i3104[23], 0)), >(+(i3085[23], 1), 0)), java.lang.Object(ARRAY(i4[23], a30817data[23])), i3085[23], i71[23], i3104[23], java.lang.Object(java.lang.String(i3404[23]))), COND_LOAD15508ARR7(TRUE, java.lang.Object(ARRAY(i4[24], a30817data[24])), i3085[24], i71[24], i3104[24], java.lang.Object(java.lang.String(i3404[24]))) → INC18057(java.lang.Object(ARRAY(i4[24], a30817data[24])), +(i3085[24], 1), i71[24], i3104[24]) which results in the following constraint:

    (159)    (i3085[23]=i3085[24]i3104[23]=i3104[24]i3404[23]=i3404[24]i71[23]=i71[24]i4[23]=i4[24]a30817data[23]=a30817data[24]&&(&&(&&(&&(<=(i3404[23], 0), >(i3085[23], 0)), <(i3085[23], i4[23])), >(i3104[23], 0)), >(+(i3085[23], 1), 0))=TRUELOAD15508ARR7(java.lang.Object(ARRAY(i4[23], a30817data[23])), i3085[23], i71[23], i3104[23], java.lang.Object(java.lang.String(i3404[23])))≥NonInfC∧LOAD15508ARR7(java.lang.Object(ARRAY(i4[23], a30817data[23])), i3085[23], i71[23], i3104[23], java.lang.Object(java.lang.String(i3404[23])))≥COND_LOAD15508ARR7(&&(&&(&&(&&(<=(i3404[23], 0), >(i3085[23], 0)), <(i3085[23], i4[23])), >(i3104[23], 0)), >(+(i3085[23], 1), 0)), java.lang.Object(ARRAY(i4[23], a30817data[23])), i3085[23], i71[23], i3104[23], java.lang.Object(java.lang.String(i3404[23])))∧(UIncreasing(COND_LOAD15508ARR7(&&(&&(&&(&&(<=(i3404[23], 0), >(i3085[23], 0)), <(i3085[23], i4[23])), >(i3104[23], 0)), >(+(i3085[23], 1), 0)), java.lang.Object(ARRAY(i4[23], a30817data[23])), i3085[23], i71[23], i3104[23], java.lang.Object(java.lang.String(i3404[23])))), ≥))



    We simplified constraint (159) using rules (IV), (IDP_BOOLEAN) which results in the following new constraint:

    (160)    (>(+(i3085[23], 1), 0)=TRUE>(i3104[23], 0)=TRUE<(i3085[23], i4[23])=TRUE<=(i3404[23], 0)=TRUE>(i3085[23], 0)=TRUELOAD15508ARR7(java.lang.Object(ARRAY(i4[23], a30817data[23])), i3085[23], i71[23], i3104[23], java.lang.Object(java.lang.String(i3404[23])))≥NonInfC∧LOAD15508ARR7(java.lang.Object(ARRAY(i4[23], a30817data[23])), i3085[23], i71[23], i3104[23], java.lang.Object(java.lang.String(i3404[23])))≥COND_LOAD15508ARR7(&&(&&(&&(&&(<=(i3404[23], 0), >(i3085[23], 0)), <(i3085[23], i4[23])), >(i3104[23], 0)), >(+(i3085[23], 1), 0)), java.lang.Object(ARRAY(i4[23], a30817data[23])), i3085[23], i71[23], i3104[23], java.lang.Object(java.lang.String(i3404[23])))∧(UIncreasing(COND_LOAD15508ARR7(&&(&&(&&(&&(<=(i3404[23], 0), >(i3085[23], 0)), <(i3085[23], i4[23])), >(i3104[23], 0)), >(+(i3085[23], 1), 0)), java.lang.Object(ARRAY(i4[23], a30817data[23])), i3085[23], i71[23], i3104[23], java.lang.Object(java.lang.String(i3404[23])))), ≥))



    We simplified constraint (160) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (161)    (i3085[23] ≥ 0∧i3104[23] + [-1] ≥ 0∧i4[23] + [-1] + [-1]i3085[23] ≥ 0∧[-1]i3404[23] ≥ 0∧i3085[23] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR7(&&(&&(&&(&&(<=(i3404[23], 0), >(i3085[23], 0)), <(i3085[23], i4[23])), >(i3104[23], 0)), >(+(i3085[23], 1), 0)), java.lang.Object(ARRAY(i4[23], a30817data[23])), i3085[23], i71[23], i3104[23], java.lang.Object(java.lang.String(i3404[23])))), ≥)∧[(-2)bni_91 + (-1)Bound*bni_91] + [bni_91]i71[23] + [(-1)bni_91]i3085[23] + [bni_91]i4[23] ≥ 0∧[(-1)bso_92] ≥ 0)



    We simplified constraint (161) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (162)    (i3085[23] ≥ 0∧i3104[23] + [-1] ≥ 0∧i4[23] + [-1] + [-1]i3085[23] ≥ 0∧[-1]i3404[23] ≥ 0∧i3085[23] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR7(&&(&&(&&(&&(<=(i3404[23], 0), >(i3085[23], 0)), <(i3085[23], i4[23])), >(i3104[23], 0)), >(+(i3085[23], 1), 0)), java.lang.Object(ARRAY(i4[23], a30817data[23])), i3085[23], i71[23], i3104[23], java.lang.Object(java.lang.String(i3404[23])))), ≥)∧[(-2)bni_91 + (-1)Bound*bni_91] + [bni_91]i71[23] + [(-1)bni_91]i3085[23] + [bni_91]i4[23] ≥ 0∧[(-1)bso_92] ≥ 0)



    We simplified constraint (162) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (163)    (i3085[23] ≥ 0∧i3104[23] + [-1] ≥ 0∧i4[23] + [-1] + [-1]i3085[23] ≥ 0∧[-1]i3404[23] ≥ 0∧i3085[23] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR7(&&(&&(&&(&&(<=(i3404[23], 0), >(i3085[23], 0)), <(i3085[23], i4[23])), >(i3104[23], 0)), >(+(i3085[23], 1), 0)), java.lang.Object(ARRAY(i4[23], a30817data[23])), i3085[23], i71[23], i3104[23], java.lang.Object(java.lang.String(i3404[23])))), ≥)∧[(-2)bni_91 + (-1)Bound*bni_91] + [bni_91]i71[23] + [(-1)bni_91]i3085[23] + [bni_91]i4[23] ≥ 0∧[(-1)bso_92] ≥ 0)



    We simplified constraint (163) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (164)    (i3085[23] ≥ 0∧i3104[23] + [-1] ≥ 0∧i4[23] + [-1] + [-1]i3085[23] ≥ 0∧[-1]i3404[23] ≥ 0∧i3085[23] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR7(&&(&&(&&(&&(<=(i3404[23], 0), >(i3085[23], 0)), <(i3085[23], i4[23])), >(i3104[23], 0)), >(+(i3085[23], 1), 0)), java.lang.Object(ARRAY(i4[23], a30817data[23])), i3085[23], i71[23], i3104[23], java.lang.Object(java.lang.String(i3404[23])))), ≥)∧[bni_91] = 0∧0 = 0∧[(-2)bni_91 + (-1)Bound*bni_91] + [(-1)bni_91]i3085[23] + [bni_91]i4[23] ≥ 0∧0 = 0∧0 = 0∧[(-1)bso_92] ≥ 0)



    We simplified constraint (164) using rule (IDP_SMT_SPLIT) which results in the following new constraint:

    (165)    ([1] + i3085[23] ≥ 0∧i3104[23] + [-1] ≥ 0∧i4[23] + [-2] + [-1]i3085[23] ≥ 0∧[-1]i3404[23] ≥ 0∧i3085[23] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR7(&&(&&(&&(&&(<=(i3404[23], 0), >(i3085[23], 0)), <(i3085[23], i4[23])), >(i3104[23], 0)), >(+(i3085[23], 1), 0)), java.lang.Object(ARRAY(i4[23], a30817data[23])), i3085[23], i71[23], i3104[23], java.lang.Object(java.lang.String(i3404[23])))), ≥)∧[bni_91] = 0∧0 = 0∧[(-3)bni_91 + (-1)Bound*bni_91] + [(-1)bni_91]i3085[23] + [bni_91]i4[23] ≥ 0∧0 = 0∧0 = 0∧[(-1)bso_92] ≥ 0)



    We simplified constraint (165) using rule (IDP_SMT_SPLIT) which results in the following new constraint:

    (166)    ([1] + i3085[23] ≥ 0∧i3104[23] ≥ 0∧i4[23] + [-2] + [-1]i3085[23] ≥ 0∧[-1]i3404[23] ≥ 0∧i3085[23] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR7(&&(&&(&&(&&(<=(i3404[23], 0), >(i3085[23], 0)), <(i3085[23], i4[23])), >(i3104[23], 0)), >(+(i3085[23], 1), 0)), java.lang.Object(ARRAY(i4[23], a30817data[23])), i3085[23], i71[23], i3104[23], java.lang.Object(java.lang.String(i3404[23])))), ≥)∧[bni_91] = 0∧0 = 0∧[(-3)bni_91 + (-1)Bound*bni_91] + [(-1)bni_91]i3085[23] + [bni_91]i4[23] ≥ 0∧0 = 0∧0 = 0∧[(-1)bso_92] ≥ 0)



    We simplified constraint (166) using rule (IDP_SMT_SPLIT) which results in the following new constraint:

    (167)    ([1] + i3085[23] ≥ 0∧i3104[23] ≥ 0∧i4[23] ≥ 0∧[-1]i3404[23] ≥ 0∧i3085[23] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR7(&&(&&(&&(&&(<=(i3404[23], 0), >(i3085[23], 0)), <(i3085[23], i4[23])), >(i3104[23], 0)), >(+(i3085[23], 1), 0)), java.lang.Object(ARRAY(i4[23], a30817data[23])), i3085[23], i71[23], i3104[23], java.lang.Object(java.lang.String(i3404[23])))), ≥)∧[bni_91] = 0∧0 = 0∧[(-1)bni_91 + (-1)Bound*bni_91] + [bni_91]i4[23] ≥ 0∧0 = 0∧0 = 0∧[(-1)bso_92] ≥ 0)



    We simplified constraint (167) using rule (IDP_SMT_SPLIT) which results in the following new constraint:

    (168)    ([1] + i3085[23] ≥ 0∧i3104[23] ≥ 0∧i4[23] ≥ 0∧i3404[23] ≥ 0∧i3085[23] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR7(&&(&&(&&(&&(<=(i3404[23], 0), >(i3085[23], 0)), <(i3085[23], i4[23])), >(i3104[23], 0)), >(+(i3085[23], 1), 0)), java.lang.Object(ARRAY(i4[23], a30817data[23])), i3085[23], i71[23], i3104[23], java.lang.Object(java.lang.String(i3404[23])))), ≥)∧[bni_91] = 0∧0 = 0∧[(-1)bni_91 + (-1)Bound*bni_91] + [bni_91]i4[23] ≥ 0∧0 = 0∧0 = 0∧[(-1)bso_92] ≥ 0)







For Pair COND_LOAD15508ARR7(TRUE, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3404))) → INC18057(java.lang.Object(ARRAY(i4, a30817data)), +(i3085, 1), i71, i3104) the following chains were created:
  • We consider the chain COND_LOAD15508ARR7(TRUE, java.lang.Object(ARRAY(i4[24], a30817data[24])), i3085[24], i71[24], i3104[24], java.lang.Object(java.lang.String(i3404[24]))) → INC18057(java.lang.Object(ARRAY(i4[24], a30817data[24])), +(i3085[24], 1), i71[24], i3104[24]) which results in the following constraint:

    (169)    (COND_LOAD15508ARR7(TRUE, java.lang.Object(ARRAY(i4[24], a30817data[24])), i3085[24], i71[24], i3104[24], java.lang.Object(java.lang.String(i3404[24])))≥NonInfC∧COND_LOAD15508ARR7(TRUE, java.lang.Object(ARRAY(i4[24], a30817data[24])), i3085[24], i71[24], i3104[24], java.lang.Object(java.lang.String(i3404[24])))≥INC18057(java.lang.Object(ARRAY(i4[24], a30817data[24])), +(i3085[24], 1), i71[24], i3104[24])∧(UIncreasing(INC18057(java.lang.Object(ARRAY(i4[24], a30817data[24])), +(i3085[24], 1), i71[24], i3104[24])), ≥))



    We simplified constraint (169) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (170)    ((UIncreasing(INC18057(java.lang.Object(ARRAY(i4[24], a30817data[24])), +(i3085[24], 1), i71[24], i3104[24])), ≥)∧[1 + (-1)bso_94] ≥ 0)



    We simplified constraint (170) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (171)    ((UIncreasing(INC18057(java.lang.Object(ARRAY(i4[24], a30817data[24])), +(i3085[24], 1), i71[24], i3104[24])), ≥)∧[1 + (-1)bso_94] ≥ 0)



    We simplified constraint (171) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (172)    ((UIncreasing(INC18057(java.lang.Object(ARRAY(i4[24], a30817data[24])), +(i3085[24], 1), i71[24], i3104[24])), ≥)∧[1 + (-1)bso_94] ≥ 0)



    We simplified constraint (172) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (173)    ((UIncreasing(INC18057(java.lang.Object(ARRAY(i4[24], a30817data[24])), +(i3085[24], 1), i71[24], i3104[24])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_94] ≥ 0)







For Pair LOAD15508(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104) → LOAD15508ARR10(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3404))) the following chains were created:
  • We consider the chain LOAD15508(java.lang.Object(ARRAY(i4[25], a30817data[25])), i3085[25], i71[25], i3104[25]) → LOAD15508ARR10(java.lang.Object(ARRAY(i4[25], a30817data[25])), i3085[25], i71[25], i3104[25], java.lang.Object(java.lang.String(i3404[25]))) which results in the following constraint:

    (174)    (LOAD15508(java.lang.Object(ARRAY(i4[25], a30817data[25])), i3085[25], i71[25], i3104[25])≥NonInfC∧LOAD15508(java.lang.Object(ARRAY(i4[25], a30817data[25])), i3085[25], i71[25], i3104[25])≥LOAD15508ARR10(java.lang.Object(ARRAY(i4[25], a30817data[25])), i3085[25], i71[25], i3104[25], java.lang.Object(java.lang.String(i3404[25])))∧(UIncreasing(LOAD15508ARR10(java.lang.Object(ARRAY(i4[25], a30817data[25])), i3085[25], i71[25], i3104[25], java.lang.Object(java.lang.String(i3404[25])))), ≥))



    We simplified constraint (174) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (175)    ((UIncreasing(LOAD15508ARR10(java.lang.Object(ARRAY(i4[25], a30817data[25])), i3085[25], i71[25], i3104[25], java.lang.Object(java.lang.String(i3404[25])))), ≥)∧[(-1)bso_96] ≥ 0)



    We simplified constraint (175) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (176)    ((UIncreasing(LOAD15508ARR10(java.lang.Object(ARRAY(i4[25], a30817data[25])), i3085[25], i71[25], i3104[25], java.lang.Object(java.lang.String(i3404[25])))), ≥)∧[(-1)bso_96] ≥ 0)



    We simplified constraint (176) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (177)    ((UIncreasing(LOAD15508ARR10(java.lang.Object(ARRAY(i4[25], a30817data[25])), i3085[25], i71[25], i3104[25], java.lang.Object(java.lang.String(i3404[25])))), ≥)∧[(-1)bso_96] ≥ 0)



    We simplified constraint (177) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (178)    ((UIncreasing(LOAD15508ARR10(java.lang.Object(ARRAY(i4[25], a30817data[25])), i3085[25], i71[25], i3104[25], java.lang.Object(java.lang.String(i3404[25])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_96] ≥ 0)







For Pair LOAD15508ARR10(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3404))) → COND_LOAD15508ARR10(&&(&&(&&(&&(<=(i3404, 0), >(i3085, 0)), <(i3085, i4)), >(i3104, 0)), >(+(i3085, 1), 0)), java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3404))) the following chains were created:
  • We consider the chain LOAD15508ARR10(java.lang.Object(ARRAY(i4[26], a30817data[26])), i3085[26], i71[26], i3104[26], java.lang.Object(java.lang.String(i3404[26]))) → COND_LOAD15508ARR10(&&(&&(&&(&&(<=(i3404[26], 0), >(i3085[26], 0)), <(i3085[26], i4[26])), >(i3104[26], 0)), >(+(i3085[26], 1), 0)), java.lang.Object(ARRAY(i4[26], a30817data[26])), i3085[26], i71[26], i3104[26], java.lang.Object(java.lang.String(i3404[26]))), COND_LOAD15508ARR10(TRUE, java.lang.Object(ARRAY(i4[27], a30817data[27])), i3085[27], i71[27], i3104[27], java.lang.Object(java.lang.String(i3404[27]))) → JMP17958'(java.lang.Object(ARRAY(i4[27], a30817data[27])), +(i3085[27], 1), i71[27], i3104[27]) which results in the following constraint:

    (179)    (i3104[26]=i3104[27]i3085[26]=i3085[27]i4[26]=i4[27]a30817data[26]=a30817data[27]i71[26]=i71[27]i3404[26]=i3404[27]&&(&&(&&(&&(<=(i3404[26], 0), >(i3085[26], 0)), <(i3085[26], i4[26])), >(i3104[26], 0)), >(+(i3085[26], 1), 0))=TRUELOAD15508ARR10(java.lang.Object(ARRAY(i4[26], a30817data[26])), i3085[26], i71[26], i3104[26], java.lang.Object(java.lang.String(i3404[26])))≥NonInfC∧LOAD15508ARR10(java.lang.Object(ARRAY(i4[26], a30817data[26])), i3085[26], i71[26], i3104[26], java.lang.Object(java.lang.String(i3404[26])))≥COND_LOAD15508ARR10(&&(&&(&&(&&(<=(i3404[26], 0), >(i3085[26], 0)), <(i3085[26], i4[26])), >(i3104[26], 0)), >(+(i3085[26], 1), 0)), java.lang.Object(ARRAY(i4[26], a30817data[26])), i3085[26], i71[26], i3104[26], java.lang.Object(java.lang.String(i3404[26])))∧(UIncreasing(COND_LOAD15508ARR10(&&(&&(&&(&&(<=(i3404[26], 0), >(i3085[26], 0)), <(i3085[26], i4[26])), >(i3104[26], 0)), >(+(i3085[26], 1), 0)), java.lang.Object(ARRAY(i4[26], a30817data[26])), i3085[26], i71[26], i3104[26], java.lang.Object(java.lang.String(i3404[26])))), ≥))



    We simplified constraint (179) using rules (IV), (IDP_BOOLEAN) which results in the following new constraint:

    (180)    (>(+(i3085[26], 1), 0)=TRUE>(i3104[26], 0)=TRUE<(i3085[26], i4[26])=TRUE<=(i3404[26], 0)=TRUE>(i3085[26], 0)=TRUELOAD15508ARR10(java.lang.Object(ARRAY(i4[26], a30817data[26])), i3085[26], i71[26], i3104[26], java.lang.Object(java.lang.String(i3404[26])))≥NonInfC∧LOAD15508ARR10(java.lang.Object(ARRAY(i4[26], a30817data[26])), i3085[26], i71[26], i3104[26], java.lang.Object(java.lang.String(i3404[26])))≥COND_LOAD15508ARR10(&&(&&(&&(&&(<=(i3404[26], 0), >(i3085[26], 0)), <(i3085[26], i4[26])), >(i3104[26], 0)), >(+(i3085[26], 1), 0)), java.lang.Object(ARRAY(i4[26], a30817data[26])), i3085[26], i71[26], i3104[26], java.lang.Object(java.lang.String(i3404[26])))∧(UIncreasing(COND_LOAD15508ARR10(&&(&&(&&(&&(<=(i3404[26], 0), >(i3085[26], 0)), <(i3085[26], i4[26])), >(i3104[26], 0)), >(+(i3085[26], 1), 0)), java.lang.Object(ARRAY(i4[26], a30817data[26])), i3085[26], i71[26], i3104[26], java.lang.Object(java.lang.String(i3404[26])))), ≥))



    We simplified constraint (180) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (181)    (i3085[26] ≥ 0∧i3104[26] + [-1] ≥ 0∧i4[26] + [-1] + [-1]i3085[26] ≥ 0∧[-1]i3404[26] ≥ 0∧i3085[26] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR10(&&(&&(&&(&&(<=(i3404[26], 0), >(i3085[26], 0)), <(i3085[26], i4[26])), >(i3104[26], 0)), >(+(i3085[26], 1), 0)), java.lang.Object(ARRAY(i4[26], a30817data[26])), i3085[26], i71[26], i3104[26], java.lang.Object(java.lang.String(i3404[26])))), ≥)∧[(-2)bni_97 + (-1)Bound*bni_97] + [bni_97]i71[26] + [(-1)bni_97]i3085[26] + [bni_97]i4[26] ≥ 0∧[(-1)bso_98] ≥ 0)



    We simplified constraint (181) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (182)    (i3085[26] ≥ 0∧i3104[26] + [-1] ≥ 0∧i4[26] + [-1] + [-1]i3085[26] ≥ 0∧[-1]i3404[26] ≥ 0∧i3085[26] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR10(&&(&&(&&(&&(<=(i3404[26], 0), >(i3085[26], 0)), <(i3085[26], i4[26])), >(i3104[26], 0)), >(+(i3085[26], 1), 0)), java.lang.Object(ARRAY(i4[26], a30817data[26])), i3085[26], i71[26], i3104[26], java.lang.Object(java.lang.String(i3404[26])))), ≥)∧[(-2)bni_97 + (-1)Bound*bni_97] + [bni_97]i71[26] + [(-1)bni_97]i3085[26] + [bni_97]i4[26] ≥ 0∧[(-1)bso_98] ≥ 0)



    We simplified constraint (182) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (183)    (i3085[26] ≥ 0∧i3104[26] + [-1] ≥ 0∧i4[26] + [-1] + [-1]i3085[26] ≥ 0∧[-1]i3404[26] ≥ 0∧i3085[26] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR10(&&(&&(&&(&&(<=(i3404[26], 0), >(i3085[26], 0)), <(i3085[26], i4[26])), >(i3104[26], 0)), >(+(i3085[26], 1), 0)), java.lang.Object(ARRAY(i4[26], a30817data[26])), i3085[26], i71[26], i3104[26], java.lang.Object(java.lang.String(i3404[26])))), ≥)∧[(-2)bni_97 + (-1)Bound*bni_97] + [bni_97]i71[26] + [(-1)bni_97]i3085[26] + [bni_97]i4[26] ≥ 0∧[(-1)bso_98] ≥ 0)



    We simplified constraint (183) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (184)    (i3085[26] ≥ 0∧i3104[26] + [-1] ≥ 0∧i4[26] + [-1] + [-1]i3085[26] ≥ 0∧[-1]i3404[26] ≥ 0∧i3085[26] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR10(&&(&&(&&(&&(<=(i3404[26], 0), >(i3085[26], 0)), <(i3085[26], i4[26])), >(i3104[26], 0)), >(+(i3085[26], 1), 0)), java.lang.Object(ARRAY(i4[26], a30817data[26])), i3085[26], i71[26], i3104[26], java.lang.Object(java.lang.String(i3404[26])))), ≥)∧[bni_97] = 0∧0 = 0∧[(-2)bni_97 + (-1)Bound*bni_97] + [(-1)bni_97]i3085[26] + [bni_97]i4[26] ≥ 0∧0 = 0∧0 = 0∧[(-1)bso_98] ≥ 0)



    We simplified constraint (184) using rule (IDP_SMT_SPLIT) which results in the following new constraint:

    (185)    ([1] + i3085[26] ≥ 0∧i3104[26] + [-1] ≥ 0∧i4[26] + [-2] + [-1]i3085[26] ≥ 0∧[-1]i3404[26] ≥ 0∧i3085[26] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR10(&&(&&(&&(&&(<=(i3404[26], 0), >(i3085[26], 0)), <(i3085[26], i4[26])), >(i3104[26], 0)), >(+(i3085[26], 1), 0)), java.lang.Object(ARRAY(i4[26], a30817data[26])), i3085[26], i71[26], i3104[26], java.lang.Object(java.lang.String(i3404[26])))), ≥)∧[bni_97] = 0∧0 = 0∧[(-3)bni_97 + (-1)Bound*bni_97] + [(-1)bni_97]i3085[26] + [bni_97]i4[26] ≥ 0∧0 = 0∧0 = 0∧[(-1)bso_98] ≥ 0)



    We simplified constraint (185) using rule (IDP_SMT_SPLIT) which results in the following new constraint:

    (186)    ([1] + i3085[26] ≥ 0∧i3104[26] ≥ 0∧i4[26] + [-2] + [-1]i3085[26] ≥ 0∧[-1]i3404[26] ≥ 0∧i3085[26] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR10(&&(&&(&&(&&(<=(i3404[26], 0), >(i3085[26], 0)), <(i3085[26], i4[26])), >(i3104[26], 0)), >(+(i3085[26], 1), 0)), java.lang.Object(ARRAY(i4[26], a30817data[26])), i3085[26], i71[26], i3104[26], java.lang.Object(java.lang.String(i3404[26])))), ≥)∧[bni_97] = 0∧0 = 0∧[(-3)bni_97 + (-1)Bound*bni_97] + [(-1)bni_97]i3085[26] + [bni_97]i4[26] ≥ 0∧0 = 0∧0 = 0∧[(-1)bso_98] ≥ 0)



    We simplified constraint (186) using rule (IDP_SMT_SPLIT) which results in the following new constraint:

    (187)    ([1] + i3085[26] ≥ 0∧i3104[26] ≥ 0∧i4[26] ≥ 0∧[-1]i3404[26] ≥ 0∧i3085[26] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR10(&&(&&(&&(&&(<=(i3404[26], 0), >(i3085[26], 0)), <(i3085[26], i4[26])), >(i3104[26], 0)), >(+(i3085[26], 1), 0)), java.lang.Object(ARRAY(i4[26], a30817data[26])), i3085[26], i71[26], i3104[26], java.lang.Object(java.lang.String(i3404[26])))), ≥)∧[bni_97] = 0∧0 = 0∧[(-1)bni_97 + (-1)Bound*bni_97] + [bni_97]i4[26] ≥ 0∧0 = 0∧0 = 0∧[(-1)bso_98] ≥ 0)



    We simplified constraint (187) using rule (IDP_SMT_SPLIT) which results in the following new constraint:

    (188)    ([1] + i3085[26] ≥ 0∧i3104[26] ≥ 0∧i4[26] ≥ 0∧i3404[26] ≥ 0∧i3085[26] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR10(&&(&&(&&(&&(<=(i3404[26], 0), >(i3085[26], 0)), <(i3085[26], i4[26])), >(i3104[26], 0)), >(+(i3085[26], 1), 0)), java.lang.Object(ARRAY(i4[26], a30817data[26])), i3085[26], i71[26], i3104[26], java.lang.Object(java.lang.String(i3404[26])))), ≥)∧[bni_97] = 0∧0 = 0∧[(-1)bni_97 + (-1)Bound*bni_97] + [bni_97]i4[26] ≥ 0∧0 = 0∧0 = 0∧[(-1)bso_98] ≥ 0)







For Pair COND_LOAD15508ARR10(TRUE, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3404))) → JMP17958'(java.lang.Object(ARRAY(i4, a30817data)), +(i3085, 1), i71, i3104) the following chains were created:
  • We consider the chain COND_LOAD15508ARR10(TRUE, java.lang.Object(ARRAY(i4[27], a30817data[27])), i3085[27], i71[27], i3104[27], java.lang.Object(java.lang.String(i3404[27]))) → JMP17958'(java.lang.Object(ARRAY(i4[27], a30817data[27])), +(i3085[27], 1), i71[27], i3104[27]) which results in the following constraint:

    (189)    (COND_LOAD15508ARR10(TRUE, java.lang.Object(ARRAY(i4[27], a30817data[27])), i3085[27], i71[27], i3104[27], java.lang.Object(java.lang.String(i3404[27])))≥NonInfC∧COND_LOAD15508ARR10(TRUE, java.lang.Object(ARRAY(i4[27], a30817data[27])), i3085[27], i71[27], i3104[27], java.lang.Object(java.lang.String(i3404[27])))≥JMP17958'(java.lang.Object(ARRAY(i4[27], a30817data[27])), +(i3085[27], 1), i71[27], i3104[27])∧(UIncreasing(JMP17958'(java.lang.Object(ARRAY(i4[27], a30817data[27])), +(i3085[27], 1), i71[27], i3104[27])), ≥))



    We simplified constraint (189) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (190)    ((UIncreasing(JMP17958'(java.lang.Object(ARRAY(i4[27], a30817data[27])), +(i3085[27], 1), i71[27], i3104[27])), ≥)∧[1 + (-1)bso_100] ≥ 0)



    We simplified constraint (190) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (191)    ((UIncreasing(JMP17958'(java.lang.Object(ARRAY(i4[27], a30817data[27])), +(i3085[27], 1), i71[27], i3104[27])), ≥)∧[1 + (-1)bso_100] ≥ 0)



    We simplified constraint (191) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (192)    ((UIncreasing(JMP17958'(java.lang.Object(ARRAY(i4[27], a30817data[27])), +(i3085[27], 1), i71[27], i3104[27])), ≥)∧[1 + (-1)bso_100] ≥ 0)



    We simplified constraint (192) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (193)    ((UIncreasing(JMP17958'(java.lang.Object(ARRAY(i4[27], a30817data[27])), +(i3085[27], 1), i71[27], i3104[27])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_100] ≥ 0)







To summarize, we get the following constraints P for the following pairs.
  • LOAD1577(java.lang.Object(ARRAY(i4, a1938data)), i65, i71) → LOAD1577ARR1(java.lang.Object(ARRAY(i4, a1938data)), i65, i71)
    • ((UIncreasing(LOAD1577ARR1(java.lang.Object(ARRAY(i4[0], a1938data[0])), i65[0], i71[0])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_46] ≥ 0)

  • LOAD1577ARR1(java.lang.Object(ARRAY(i4, a1938data)), i65, i71) → COND_LOAD1577ARR1(&&(&&(&&(>(i65, 0), <(i65, i4)), >(i71, 0)), >(+(i65, 1), 0)), java.lang.Object(ARRAY(i4, a1938data)), i65, i71)
    • ([1] + i65[1] ≥ 0∧i71[1] ≥ 0∧i65[1] ≥ 0∧i4[1] ≥ 0 ⇒ (UIncreasing(COND_LOAD1577ARR1(&&(&&(&&(>(i65[1], 0), <(i65[1], i4[1])), >(i71[1], 0)), >(+(i65[1], 1), 0)), java.lang.Object(ARRAY(i4[1], a1938data[1])), i65[1], i71[1])), ≥)∧0 = 0∧[(-1)Bound*bni_47] + [bni_47]i71[1] + [bni_47]i4[1] ≥ 0∧0 = 0∧[(-1)bso_48] ≥ 0)

  • COND_LOAD1577ARR1(TRUE, java.lang.Object(ARRAY(i4, a1938data)), i65, i71) → LOAD1577(java.lang.Object(ARRAY(i4, a1938data)), +(i65, 1), +(i71, -1))
    • ((UIncreasing(LOAD1577(java.lang.Object(ARRAY(i4[2], a1938data[2])), +(i65[2], 1), +(i71[2], -1))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[2 + (-1)bso_50] ≥ 0)

  • LOAD15508(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3105) → COND_LOAD15508(&&(<=(i3105, 0), >(i71, 0)), java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3105)
    • (i3105[3] ≥ 0∧i71[3] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508(&&(<=(i3105[3], 0), >(i71[3], 0)), java.lang.Object(ARRAY(i4[3], a30817data[3])), i3085[3], i71[3], i3105[3])), ≥)∧0 = 0∧[bni_51] = 0∧[(-1)bni_51] = 0∧[(-1)bni_51 + (-1)Bound*bni_51] + [bni_51]i71[3] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_52] ≥ 0)

  • COND_LOAD15508(TRUE, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3105) → LOAD1577(java.lang.Object(ARRAY(i4, a30817data)), i3085, +(i71, -1))
    • ((UIncreasing(LOAD1577(java.lang.Object(ARRAY(i4[4], a30817data[4])), i3085[4], +(i71[4], -1))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_54] ≥ 0)

  • LOAD1577(java.lang.Object(ARRAY(i4, a1938data)), i65, i71) → LOAD1577ARR2(java.lang.Object(ARRAY(i4, a1938data)), i65, i71, java.lang.Object(java.lang.String(i120)))
    • ((UIncreasing(LOAD1577ARR2(java.lang.Object(ARRAY(i4[5], a1938data[5])), i65[5], i71[5], java.lang.Object(java.lang.String(i120[5])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_56] ≥ 0)

  • LOAD1577ARR2(java.lang.Object(ARRAY(i4, a1938data)), i65, i71, java.lang.Object(java.lang.String(i120))) → COND_LOAD1577ARR2(&&(&&(&&(&&(!(=(i120, 0)), >(i65, 0)), <(i65, i4)), >(i71, 0)), >(+(i65, 1), 0)), java.lang.Object(ARRAY(i4, a1938data)), i65, i71, java.lang.Object(java.lang.String(i120)))
    • ([1] + i65[6] ≥ 0∧i71[6] ≥ 0∧i4[6] ≥ 0∧i65[6] ≥ 0∧i120[6] ≥ 0 ⇒ (UIncreasing(COND_LOAD1577ARR2(&&(&&(&&(&&(!(=(i120[6], 0)), >(i65[6], 0)), <(i65[6], i4[6])), >(i71[6], 0)), >(+(i65[6], 1), 0)), java.lang.Object(ARRAY(i4[6], a1938data[6])), i65[6], i71[6], java.lang.Object(java.lang.String(i120[6])))), ≥)∧0 = 0∧[(-1)Bound*bni_57] + [bni_57]i71[6] + [bni_57]i4[6] ≥ 0∧0 = 0∧[(-1)bso_58] ≥ 0)
    • ([1] + i65[6] ≥ 0∧i71[6] ≥ 0∧i4[6] ≥ 0∧i65[6] ≥ 0∧i120[6] ≥ 0 ⇒ (UIncreasing(COND_LOAD1577ARR2(&&(&&(&&(&&(!(=(i120[6], 0)), >(i65[6], 0)), <(i65[6], i4[6])), >(i71[6], 0)), >(+(i65[6], 1), 0)), java.lang.Object(ARRAY(i4[6], a1938data[6])), i65[6], i71[6], java.lang.Object(java.lang.String(i120[6])))), ≥)∧0 = 0∧[(-1)Bound*bni_57] + [bni_57]i71[6] + [bni_57]i4[6] ≥ 0∧0 = 0∧[(-1)bso_58] ≥ 0)

  • COND_LOAD1577ARR2(TRUE, java.lang.Object(ARRAY(i4, a1938data)), i65, i71, java.lang.Object(java.lang.String(i120))) → LOAD15508(java.lang.Object(ARRAY(i4, a1938data)), +(i65, 1), i71, i120)
    • ((UIncreasing(LOAD15508(java.lang.Object(ARRAY(i4[7], a1938data[7])), +(i65[7], 1), i71[7], i120[7])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_60] ≥ 0)

  • INC18057(java.lang.Object(ARRAY(i4, a30817data)), i3158, i71, i3104) → LOAD15508(java.lang.Object(ARRAY(i4, a30817data)), i3158, i71, +(i3104, -1))
    • ((UIncreasing(LOAD15508(java.lang.Object(ARRAY(i4[8], a30817data[8])), i3158[8], i71[8], +(i3104[8], -1))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_62] ≥ 0)

  • LOAD15508(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104) → LOAD15508ARR3(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3404)))
    • ((UIncreasing(LOAD15508ARR3(java.lang.Object(ARRAY(i4[9], a30817data[9])), i3085[9], i71[9], i3104[9], java.lang.Object(java.lang.String(i3404[9])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_64] ≥ 0)

  • LOAD15508ARR3(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3404))) → COND_LOAD15508ARR3(&&(&&(&&(&&(<=(i3404, 0), >(i3085, 0)), <(i3085, i4)), >(i3104, 0)), >(+(i3085, 1), 0)), java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3404)))
    • ([1] + i3085[10] ≥ 0∧i3104[10] ≥ 0∧i4[10] ≥ 0∧i3404[10] ≥ 0∧i3085[10] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR3(&&(&&(&&(&&(<=(i3404[10], 0), >(i3085[10], 0)), <(i3085[10], i4[10])), >(i3104[10], 0)), >(+(i3085[10], 1), 0)), java.lang.Object(ARRAY(i4[10], a30817data[10])), i3085[10], i71[10], i3104[10], java.lang.Object(java.lang.String(i3404[10])))), ≥)∧[bni_65] = 0∧0 = 0∧[(-1)Bound*bni_65 + (-1)bni_65] + [bni_65]i4[10] ≥ 0∧0 = 0∧0 = 0∧[(-1)bso_66] ≥ 0)

  • COND_LOAD15508ARR3(TRUE, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3404))) → LOAD15508(java.lang.Object(ARRAY(i4, a30817data)), +(i3085, 1), i71, +(i3104, -1))
    • ((UIncreasing(LOAD15508(java.lang.Object(ARRAY(i4[11], a30817data[11])), +(i3085[11], 1), i71[11], +(i3104[11], -1))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_68] ≥ 0)

  • LOAD15508(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104) → LOAD15508ARR4(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3403)))
    • ((UIncreasing(LOAD15508ARR4(java.lang.Object(ARRAY(i4[12], a30817data[12])), i3085[12], i71[12], i3104[12], java.lang.Object(java.lang.String(i3403[12])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_70] ≥ 0)

  • LOAD15508ARR4(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3403))) → COND_LOAD15508ARR4(&&(&&(&&(&&(>(i3403, 0), >(i3085, 0)), <(i3085, i4)), >(i3104, 0)), >(+(i3085, 1), 0)), java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3403)))
    • ([1] + i3085[13] ≥ 0∧i3104[13] ≥ 0∧i4[13] ≥ 0∧i3403[13] ≥ 0∧i3085[13] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR4(&&(&&(&&(&&(>(i3403[13], 0), >(i3085[13], 0)), <(i3085[13], i4[13])), >(i3104[13], 0)), >(+(i3085[13], 1), 0)), java.lang.Object(ARRAY(i4[13], a30817data[13])), i3085[13], i71[13], i3104[13], java.lang.Object(java.lang.String(i3403[13])))), ≥)∧[bni_71] = 0∧0 = 0∧[(-1)Bound*bni_71 + (-1)bni_71] + [bni_71]i4[13] ≥ 0∧0 = 0∧0 = 0∧[(-1)bso_72] ≥ 0)

  • COND_LOAD15508ARR4(TRUE, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3403))) → LOAD15508(java.lang.Object(ARRAY(i4, a30817data)), +(i3085, 1), i71, +(i3104, -1))
    • ((UIncreasing(LOAD15508(java.lang.Object(ARRAY(i4[14], a30817data[14])), +(i3085[14], 1), i71[14], +(i3104[14], -1))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_74] ≥ 0)

  • LOAD15508(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104) → LOAD15508ARR5(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3403)))
    • ((UIncreasing(LOAD15508ARR5(java.lang.Object(ARRAY(i4[15], a30817data[15])), i3085[15], i71[15], i3104[15], java.lang.Object(java.lang.String(i3403[15])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_76] ≥ 0)

  • LOAD15508ARR5(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3403))) → COND_LOAD15508ARR5(&&(&&(&&(&&(>(i3403, 0), >(i3085, 0)), <(i3085, i4)), >(i3104, 0)), >(+(i3085, 1), 0)), java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3403)))
    • ([1] + i3085[16] ≥ 0∧i3104[16] ≥ 0∧i4[16] ≥ 0∧i3403[16] ≥ 0∧i3085[16] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR5(&&(&&(&&(&&(>(i3403[16], 0), >(i3085[16], 0)), <(i3085[16], i4[16])), >(i3104[16], 0)), >(+(i3085[16], 1), 0)), java.lang.Object(ARRAY(i4[16], a30817data[16])), i3085[16], i71[16], i3104[16], java.lang.Object(java.lang.String(i3403[16])))), ≥)∧[bni_77] = 0∧0 = 0∧[(-1)Bound*bni_77 + (-1)bni_77] + [bni_77]i4[16] ≥ 0∧0 = 0∧0 = 0∧[(-1)bso_78] ≥ 0)

  • COND_LOAD15508ARR5(TRUE, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3403))) → JMP17958'(java.lang.Object(ARRAY(i4, a30817data)), +(i3085, 1), i71, i3104)
    • ((UIncreasing(JMP17958'(java.lang.Object(ARRAY(i4[17], a30817data[17])), +(i3085[17], 1), i71[17], i3104[17])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_80] ≥ 0)

  • JMP17958'(java.lang.Object(ARRAY(i4, a30817data)), i3158, i71, i3104) → INC18057(java.lang.Object(ARRAY(i4, a30817data)), i3158, i71, i3104)
    • ((UIncreasing(INC18057(java.lang.Object(ARRAY(i4[18], a30817data[18])), i3158[18], i71[18], i3104[18])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_82] ≥ 0)

  • LOAD15508(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104) → LOAD15508ARR6(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3403)))
    • ((UIncreasing(LOAD15508ARR6(java.lang.Object(ARRAY(i4[19], a30817data[19])), i3085[19], i71[19], i3104[19], java.lang.Object(java.lang.String(i3403[19])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_84] ≥ 0)

  • LOAD15508ARR6(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3403))) → COND_LOAD15508ARR6(&&(&&(&&(&&(>(i3403, 0), >(i3085, 0)), <(i3085, i4)), >(i3104, 0)), >(+(i3085, 1), 0)), java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3403)))
    • ([1] + i3085[20] ≥ 0∧i3104[20] ≥ 0∧i4[20] ≥ 0∧i3403[20] ≥ 0∧i3085[20] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR6(&&(&&(&&(&&(>(i3403[20], 0), >(i3085[20], 0)), <(i3085[20], i4[20])), >(i3104[20], 0)), >(+(i3085[20], 1), 0)), java.lang.Object(ARRAY(i4[20], a30817data[20])), i3085[20], i71[20], i3104[20], java.lang.Object(java.lang.String(i3403[20])))), ≥)∧[bni_85] = 0∧0 = 0∧[(-1)bni_85 + (-1)Bound*bni_85] + [bni_85]i4[20] ≥ 0∧0 = 0∧0 = 0∧[(-1)bso_86] ≥ 0)

  • COND_LOAD15508ARR6(TRUE, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3403))) → INC18057(java.lang.Object(ARRAY(i4, a30817data)), +(i3085, 1), i71, i3104)
    • ((UIncreasing(INC18057(java.lang.Object(ARRAY(i4[21], a30817data[21])), +(i3085[21], 1), i71[21], i3104[21])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_88] ≥ 0)

  • LOAD15508(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104) → LOAD15508ARR7(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3404)))
    • ((UIncreasing(LOAD15508ARR7(java.lang.Object(ARRAY(i4[22], a30817data[22])), i3085[22], i71[22], i3104[22], java.lang.Object(java.lang.String(i3404[22])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_90] ≥ 0)

  • LOAD15508ARR7(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3404))) → COND_LOAD15508ARR7(&&(&&(&&(&&(<=(i3404, 0), >(i3085, 0)), <(i3085, i4)), >(i3104, 0)), >(+(i3085, 1), 0)), java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3404)))
    • ([1] + i3085[23] ≥ 0∧i3104[23] ≥ 0∧i4[23] ≥ 0∧i3404[23] ≥ 0∧i3085[23] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR7(&&(&&(&&(&&(<=(i3404[23], 0), >(i3085[23], 0)), <(i3085[23], i4[23])), >(i3104[23], 0)), >(+(i3085[23], 1), 0)), java.lang.Object(ARRAY(i4[23], a30817data[23])), i3085[23], i71[23], i3104[23], java.lang.Object(java.lang.String(i3404[23])))), ≥)∧[bni_91] = 0∧0 = 0∧[(-1)bni_91 + (-1)Bound*bni_91] + [bni_91]i4[23] ≥ 0∧0 = 0∧0 = 0∧[(-1)bso_92] ≥ 0)

  • COND_LOAD15508ARR7(TRUE, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3404))) → INC18057(java.lang.Object(ARRAY(i4, a30817data)), +(i3085, 1), i71, i3104)
    • ((UIncreasing(INC18057(java.lang.Object(ARRAY(i4[24], a30817data[24])), +(i3085[24], 1), i71[24], i3104[24])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_94] ≥ 0)

  • LOAD15508(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104) → LOAD15508ARR10(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3404)))
    • ((UIncreasing(LOAD15508ARR10(java.lang.Object(ARRAY(i4[25], a30817data[25])), i3085[25], i71[25], i3104[25], java.lang.Object(java.lang.String(i3404[25])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_96] ≥ 0)

  • LOAD15508ARR10(java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3404))) → COND_LOAD15508ARR10(&&(&&(&&(&&(<=(i3404, 0), >(i3085, 0)), <(i3085, i4)), >(i3104, 0)), >(+(i3085, 1), 0)), java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3404)))
    • ([1] + i3085[26] ≥ 0∧i3104[26] ≥ 0∧i4[26] ≥ 0∧i3404[26] ≥ 0∧i3085[26] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR10(&&(&&(&&(&&(<=(i3404[26], 0), >(i3085[26], 0)), <(i3085[26], i4[26])), >(i3104[26], 0)), >(+(i3085[26], 1), 0)), java.lang.Object(ARRAY(i4[26], a30817data[26])), i3085[26], i71[26], i3104[26], java.lang.Object(java.lang.String(i3404[26])))), ≥)∧[bni_97] = 0∧0 = 0∧[(-1)bni_97 + (-1)Bound*bni_97] + [bni_97]i4[26] ≥ 0∧0 = 0∧0 = 0∧[(-1)bso_98] ≥ 0)

  • COND_LOAD15508ARR10(TRUE, java.lang.Object(ARRAY(i4, a30817data)), i3085, i71, i3104, java.lang.Object(java.lang.String(i3404))) → JMP17958'(java.lang.Object(ARRAY(i4, a30817data)), +(i3085, 1), i71, i3104)
    • ((UIncreasing(JMP17958'(java.lang.Object(ARRAY(i4[27], a30817data[27])), +(i3085[27], 1), i71[27], i3104[27])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_100] ≥ 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(LOAD1577(x1, x2, x3)) = [-1] + x3 + [-1]x1 + [-1]x2   
POL(java.lang.Object(x1)) = x1   
POL(ARRAY(x1, x2)) = [1] + [-1]x1   
POL(LOAD1577ARR1(x1, x2, x3)) = [-1] + x3 + [-1]x1 + [-1]x2   
POL(COND_LOAD1577ARR1(x1, x2, x3, x4)) = [-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(-1) = [-1]   
POL(LOAD15508(x1, x2, x3, x4)) = [-1] + x3 + [-1]x1 + [-1]x2   
POL(COND_LOAD15508(x1, x2, x3, x4, x5)) = [-1] + x4 + [-1]x2 + [-1]x3   
POL(<=(x1, x2)) = [-1]   
POL(LOAD1577ARR2(x1, x2, x3, x4)) = [-1] + x3 + [-1]x1 + [-1]x2   
POL(java.lang.String(x1)) = x1   
POL(COND_LOAD1577ARR2(x1, x2, x3, x4, x5)) = [-1] + x4 + [-1]x2 + [-1]x3   
POL(!(x1)) = [-1]   
POL(=(x1, x2)) = [-1]   
POL(INC18057(x1, x2, x3, x4)) = [-1] + x3 + [-1]x1 + [-1]x2   
POL(LOAD15508ARR3(x1, x2, x3, x4, x5)) = [-1] + x3 + [-1]x1 + [-1]x2   
POL(COND_LOAD15508ARR3(x1, x2, x3, x4, x5, x6)) = [-1] + x4 + [-1]x2 + [-1]x3   
POL(LOAD15508ARR4(x1, x2, x3, x4, x5)) = [-1] + x3 + [-1]x1 + [-1]x2   
POL(COND_LOAD15508ARR4(x1, x2, x3, x4, x5, x6)) = [-1] + x4 + [-1]x2 + [-1]x3   
POL(LOAD15508ARR5(x1, x2, x3, x4, x5)) = [-1] + x3 + [-1]x1 + [-1]x2   
POL(COND_LOAD15508ARR5(x1, x2, x3, x4, x5, x6)) = [-1] + x4 + [-1]x2 + [-1]x3   
POL(JMP17958'(x1, x2, x3, x4)) = [-1] + [-1]x2 + x3 + [-1]x1   
POL(LOAD15508ARR6(x1, x2, x3, x4, x5)) = [-1] + x3 + [-1]x2 + [-1]x1   
POL(COND_LOAD15508ARR6(x1, x2, x3, x4, x5, x6)) = [-1] + x4 + [-1]x3 + [-1]x2   
POL(LOAD15508ARR7(x1, x2, x3, x4, x5)) = [-1] + x3 + [-1]x2 + [-1]x1   
POL(COND_LOAD15508ARR7(x1, x2, x3, x4, x5, x6)) = [-1] + x4 + [-1]x3 + [-1]x2   
POL(LOAD15508ARR10(x1, x2, x3, x4, x5)) = [-1] + x3 + [-1]x2 + [-1]x1   
POL(COND_LOAD15508ARR10(x1, x2, x3, x4, x5, x6)) = [-1] + x4 + [-1]x3 + [-1]x2   

The following pairs are in P>:

COND_LOAD1577ARR1(TRUE, java.lang.Object(ARRAY(i4[2], a1938data[2])), i65[2], i71[2]) → LOAD1577(java.lang.Object(ARRAY(i4[2], a1938data[2])), +(i65[2], 1), +(i71[2], -1))
COND_LOAD15508(TRUE, java.lang.Object(ARRAY(i4[4], a30817data[4])), i3085[4], i71[4], i3105[4]) → LOAD1577(java.lang.Object(ARRAY(i4[4], a30817data[4])), i3085[4], +(i71[4], -1))
COND_LOAD1577ARR2(TRUE, java.lang.Object(ARRAY(i4[7], a1938data[7])), i65[7], i71[7], java.lang.Object(java.lang.String(i120[7]))) → LOAD15508(java.lang.Object(ARRAY(i4[7], a1938data[7])), +(i65[7], 1), i71[7], i120[7])
COND_LOAD15508ARR3(TRUE, java.lang.Object(ARRAY(i4[11], a30817data[11])), i3085[11], i71[11], i3104[11], java.lang.Object(java.lang.String(i3404[11]))) → LOAD15508(java.lang.Object(ARRAY(i4[11], a30817data[11])), +(i3085[11], 1), i71[11], +(i3104[11], -1))
COND_LOAD15508ARR4(TRUE, java.lang.Object(ARRAY(i4[14], a30817data[14])), i3085[14], i71[14], i3104[14], java.lang.Object(java.lang.String(i3403[14]))) → LOAD15508(java.lang.Object(ARRAY(i4[14], a30817data[14])), +(i3085[14], 1), i71[14], +(i3104[14], -1))
COND_LOAD15508ARR5(TRUE, java.lang.Object(ARRAY(i4[17], a30817data[17])), i3085[17], i71[17], i3104[17], java.lang.Object(java.lang.String(i3403[17]))) → JMP17958'(java.lang.Object(ARRAY(i4[17], a30817data[17])), +(i3085[17], 1), i71[17], i3104[17])
COND_LOAD15508ARR6(TRUE, java.lang.Object(ARRAY(i4[21], a30817data[21])), i3085[21], i71[21], i3104[21], java.lang.Object(java.lang.String(i3403[21]))) → INC18057(java.lang.Object(ARRAY(i4[21], a30817data[21])), +(i3085[21], 1), i71[21], i3104[21])
COND_LOAD15508ARR7(TRUE, java.lang.Object(ARRAY(i4[24], a30817data[24])), i3085[24], i71[24], i3104[24], java.lang.Object(java.lang.String(i3404[24]))) → INC18057(java.lang.Object(ARRAY(i4[24], a30817data[24])), +(i3085[24], 1), i71[24], i3104[24])
COND_LOAD15508ARR10(TRUE, java.lang.Object(ARRAY(i4[27], a30817data[27])), i3085[27], i71[27], i3104[27], java.lang.Object(java.lang.String(i3404[27]))) → JMP17958'(java.lang.Object(ARRAY(i4[27], a30817data[27])), +(i3085[27], 1), i71[27], i3104[27])

The following pairs are in Pbound:

LOAD1577ARR1(java.lang.Object(ARRAY(i4[1], a1938data[1])), i65[1], i71[1]) → COND_LOAD1577ARR1(&&(&&(&&(>(i65[1], 0), <(i65[1], i4[1])), >(i71[1], 0)), >(+(i65[1], 1), 0)), java.lang.Object(ARRAY(i4[1], a1938data[1])), i65[1], i71[1])
LOAD1577ARR2(java.lang.Object(ARRAY(i4[6], a1938data[6])), i65[6], i71[6], java.lang.Object(java.lang.String(i120[6]))) → COND_LOAD1577ARR2(&&(&&(&&(&&(!(=(i120[6], 0)), >(i65[6], 0)), <(i65[6], i4[6])), >(i71[6], 0)), >(+(i65[6], 1), 0)), java.lang.Object(ARRAY(i4[6], a1938data[6])), i65[6], i71[6], java.lang.Object(java.lang.String(i120[6])))

The following pairs are in P:

LOAD1577(java.lang.Object(ARRAY(i4[0], a1938data[0])), i65[0], i71[0]) → LOAD1577ARR1(java.lang.Object(ARRAY(i4[0], a1938data[0])), i65[0], i71[0])
LOAD1577ARR1(java.lang.Object(ARRAY(i4[1], a1938data[1])), i65[1], i71[1]) → COND_LOAD1577ARR1(&&(&&(&&(>(i65[1], 0), <(i65[1], i4[1])), >(i71[1], 0)), >(+(i65[1], 1), 0)), java.lang.Object(ARRAY(i4[1], a1938data[1])), i65[1], i71[1])
LOAD15508(java.lang.Object(ARRAY(i4[3], a30817data[3])), i3085[3], i71[3], i3105[3]) → COND_LOAD15508(&&(<=(i3105[3], 0), >(i71[3], 0)), java.lang.Object(ARRAY(i4[3], a30817data[3])), i3085[3], i71[3], i3105[3])
LOAD1577(java.lang.Object(ARRAY(i4[5], a1938data[5])), i65[5], i71[5]) → LOAD1577ARR2(java.lang.Object(ARRAY(i4[5], a1938data[5])), i65[5], i71[5], java.lang.Object(java.lang.String(i120[5])))
LOAD1577ARR2(java.lang.Object(ARRAY(i4[6], a1938data[6])), i65[6], i71[6], java.lang.Object(java.lang.String(i120[6]))) → COND_LOAD1577ARR2(&&(&&(&&(&&(!(=(i120[6], 0)), >(i65[6], 0)), <(i65[6], i4[6])), >(i71[6], 0)), >(+(i65[6], 1), 0)), java.lang.Object(ARRAY(i4[6], a1938data[6])), i65[6], i71[6], java.lang.Object(java.lang.String(i120[6])))
INC18057(java.lang.Object(ARRAY(i4[8], a30817data[8])), i3158[8], i71[8], i3104[8]) → LOAD15508(java.lang.Object(ARRAY(i4[8], a30817data[8])), i3158[8], i71[8], +(i3104[8], -1))
LOAD15508(java.lang.Object(ARRAY(i4[9], a30817data[9])), i3085[9], i71[9], i3104[9]) → LOAD15508ARR3(java.lang.Object(ARRAY(i4[9], a30817data[9])), i3085[9], i71[9], i3104[9], java.lang.Object(java.lang.String(i3404[9])))
LOAD15508ARR3(java.lang.Object(ARRAY(i4[10], a30817data[10])), i3085[10], i71[10], i3104[10], java.lang.Object(java.lang.String(i3404[10]))) → COND_LOAD15508ARR3(&&(&&(&&(&&(<=(i3404[10], 0), >(i3085[10], 0)), <(i3085[10], i4[10])), >(i3104[10], 0)), >(+(i3085[10], 1), 0)), java.lang.Object(ARRAY(i4[10], a30817data[10])), i3085[10], i71[10], i3104[10], java.lang.Object(java.lang.String(i3404[10])))
LOAD15508(java.lang.Object(ARRAY(i4[12], a30817data[12])), i3085[12], i71[12], i3104[12]) → LOAD15508ARR4(java.lang.Object(ARRAY(i4[12], a30817data[12])), i3085[12], i71[12], i3104[12], java.lang.Object(java.lang.String(i3403[12])))
LOAD15508ARR4(java.lang.Object(ARRAY(i4[13], a30817data[13])), i3085[13], i71[13], i3104[13], java.lang.Object(java.lang.String(i3403[13]))) → COND_LOAD15508ARR4(&&(&&(&&(&&(>(i3403[13], 0), >(i3085[13], 0)), <(i3085[13], i4[13])), >(i3104[13], 0)), >(+(i3085[13], 1), 0)), java.lang.Object(ARRAY(i4[13], a30817data[13])), i3085[13], i71[13], i3104[13], java.lang.Object(java.lang.String(i3403[13])))
LOAD15508(java.lang.Object(ARRAY(i4[15], a30817data[15])), i3085[15], i71[15], i3104[15]) → LOAD15508ARR5(java.lang.Object(ARRAY(i4[15], a30817data[15])), i3085[15], i71[15], i3104[15], java.lang.Object(java.lang.String(i3403[15])))
LOAD15508ARR5(java.lang.Object(ARRAY(i4[16], a30817data[16])), i3085[16], i71[16], i3104[16], java.lang.Object(java.lang.String(i3403[16]))) → COND_LOAD15508ARR5(&&(&&(&&(&&(>(i3403[16], 0), >(i3085[16], 0)), <(i3085[16], i4[16])), >(i3104[16], 0)), >(+(i3085[16], 1), 0)), java.lang.Object(ARRAY(i4[16], a30817data[16])), i3085[16], i71[16], i3104[16], java.lang.Object(java.lang.String(i3403[16])))
JMP17958'(java.lang.Object(ARRAY(i4[18], a30817data[18])), i3158[18], i71[18], i3104[18]) → INC18057(java.lang.Object(ARRAY(i4[18], a30817data[18])), i3158[18], i71[18], i3104[18])
LOAD15508(java.lang.Object(ARRAY(i4[19], a30817data[19])), i3085[19], i71[19], i3104[19]) → LOAD15508ARR6(java.lang.Object(ARRAY(i4[19], a30817data[19])), i3085[19], i71[19], i3104[19], java.lang.Object(java.lang.String(i3403[19])))
LOAD15508ARR6(java.lang.Object(ARRAY(i4[20], a30817data[20])), i3085[20], i71[20], i3104[20], java.lang.Object(java.lang.String(i3403[20]))) → COND_LOAD15508ARR6(&&(&&(&&(&&(>(i3403[20], 0), >(i3085[20], 0)), <(i3085[20], i4[20])), >(i3104[20], 0)), >(+(i3085[20], 1), 0)), java.lang.Object(ARRAY(i4[20], a30817data[20])), i3085[20], i71[20], i3104[20], java.lang.Object(java.lang.String(i3403[20])))
LOAD15508(java.lang.Object(ARRAY(i4[22], a30817data[22])), i3085[22], i71[22], i3104[22]) → LOAD15508ARR7(java.lang.Object(ARRAY(i4[22], a30817data[22])), i3085[22], i71[22], i3104[22], java.lang.Object(java.lang.String(i3404[22])))
LOAD15508ARR7(java.lang.Object(ARRAY(i4[23], a30817data[23])), i3085[23], i71[23], i3104[23], java.lang.Object(java.lang.String(i3404[23]))) → COND_LOAD15508ARR7(&&(&&(&&(&&(<=(i3404[23], 0), >(i3085[23], 0)), <(i3085[23], i4[23])), >(i3104[23], 0)), >(+(i3085[23], 1), 0)), java.lang.Object(ARRAY(i4[23], a30817data[23])), i3085[23], i71[23], i3104[23], java.lang.Object(java.lang.String(i3404[23])))
LOAD15508(java.lang.Object(ARRAY(i4[25], a30817data[25])), i3085[25], i71[25], i3104[25]) → LOAD15508ARR10(java.lang.Object(ARRAY(i4[25], a30817data[25])), i3085[25], i71[25], i3104[25], java.lang.Object(java.lang.String(i3404[25])))
LOAD15508ARR10(java.lang.Object(ARRAY(i4[26], a30817data[26])), i3085[26], i71[26], i3104[26], java.lang.Object(java.lang.String(i3404[26]))) → COND_LOAD15508ARR10(&&(&&(&&(&&(<=(i3404[26], 0), >(i3085[26], 0)), <(i3085[26], i4[26])), >(i3104[26], 0)), >(+(i3085[26], 1), 0)), java.lang.Object(ARRAY(i4[26], a30817data[26])), i3085[26], i71[26], i3104[26], java.lang.Object(java.lang.String(i3404[26])))

There are no usable rules.

(28) Complex Obligation (AND)

(29) 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): LOAD1577(java.lang.Object(ARRAY(i4[0], a1938data[0])), i65[0], i71[0]) → LOAD1577ARR1(java.lang.Object(ARRAY(i4[0], a1938data[0])), i65[0], i71[0])
(1): LOAD1577ARR1(java.lang.Object(ARRAY(i4[1], a1938data[1])), i65[1], i71[1]) → COND_LOAD1577ARR1(i65[1] > 0 && i65[1] < i4[1] && i71[1] > 0 && i65[1] + 1 > 0, java.lang.Object(ARRAY(i4[1], a1938data[1])), i65[1], i71[1])
(3): LOAD15508(java.lang.Object(ARRAY(i4[3], a30817data[3])), i3085[3], i71[3], i3105[3]) → COND_LOAD15508(i3105[3] <= 0 && i71[3] > 0, java.lang.Object(ARRAY(i4[3], a30817data[3])), i3085[3], i71[3], i3105[3])
(5): LOAD1577(java.lang.Object(ARRAY(i4[5], a1938data[5])), i65[5], i71[5]) → LOAD1577ARR2(java.lang.Object(ARRAY(i4[5], a1938data[5])), i65[5], i71[5], java.lang.Object(java.lang.String(i120[5])))
(6): LOAD1577ARR2(java.lang.Object(ARRAY(i4[6], a1938data[6])), i65[6], i71[6], java.lang.Object(java.lang.String(i120[6]))) → COND_LOAD1577ARR2(!(i120[6] = 0) && i65[6] > 0 && i65[6] < i4[6] && i71[6] > 0 && i65[6] + 1 > 0, java.lang.Object(ARRAY(i4[6], a1938data[6])), i65[6], i71[6], java.lang.Object(java.lang.String(i120[6])))
(8): INC18057(java.lang.Object(ARRAY(i4[8], a30817data[8])), i3158[8], i71[8], i3104[8]) → LOAD15508(java.lang.Object(ARRAY(i4[8], a30817data[8])), i3158[8], i71[8], i3104[8] + -1)
(9): LOAD15508(java.lang.Object(ARRAY(i4[9], a30817data[9])), i3085[9], i71[9], i3104[9]) → LOAD15508ARR3(java.lang.Object(ARRAY(i4[9], a30817data[9])), i3085[9], i71[9], i3104[9], java.lang.Object(java.lang.String(i3404[9])))
(10): LOAD15508ARR3(java.lang.Object(ARRAY(i4[10], a30817data[10])), i3085[10], i71[10], i3104[10], java.lang.Object(java.lang.String(i3404[10]))) → COND_LOAD15508ARR3(i3404[10] <= 0 && i3085[10] > 0 && i3085[10] < i4[10] && i3104[10] > 0 && i3085[10] + 1 > 0, java.lang.Object(ARRAY(i4[10], a30817data[10])), i3085[10], i71[10], i3104[10], java.lang.Object(java.lang.String(i3404[10])))
(12): LOAD15508(java.lang.Object(ARRAY(i4[12], a30817data[12])), i3085[12], i71[12], i3104[12]) → LOAD15508ARR4(java.lang.Object(ARRAY(i4[12], a30817data[12])), i3085[12], i71[12], i3104[12], java.lang.Object(java.lang.String(i3403[12])))
(13): LOAD15508ARR4(java.lang.Object(ARRAY(i4[13], a30817data[13])), i3085[13], i71[13], i3104[13], java.lang.Object(java.lang.String(i3403[13]))) → COND_LOAD15508ARR4(i3403[13] > 0 && i3085[13] > 0 && i3085[13] < i4[13] && i3104[13] > 0 && i3085[13] + 1 > 0, java.lang.Object(ARRAY(i4[13], a30817data[13])), i3085[13], i71[13], i3104[13], java.lang.Object(java.lang.String(i3403[13])))
(15): LOAD15508(java.lang.Object(ARRAY(i4[15], a30817data[15])), i3085[15], i71[15], i3104[15]) → LOAD15508ARR5(java.lang.Object(ARRAY(i4[15], a30817data[15])), i3085[15], i71[15], i3104[15], java.lang.Object(java.lang.String(i3403[15])))
(16): LOAD15508ARR5(java.lang.Object(ARRAY(i4[16], a30817data[16])), i3085[16], i71[16], i3104[16], java.lang.Object(java.lang.String(i3403[16]))) → COND_LOAD15508ARR5(i3403[16] > 0 && i3085[16] > 0 && i3085[16] < i4[16] && i3104[16] > 0 && i3085[16] + 1 > 0, java.lang.Object(ARRAY(i4[16], a30817data[16])), i3085[16], i71[16], i3104[16], java.lang.Object(java.lang.String(i3403[16])))
(18): JMP17958'(java.lang.Object(ARRAY(i4[18], a30817data[18])), i3158[18], i71[18], i3104[18]) → INC18057(java.lang.Object(ARRAY(i4[18], a30817data[18])), i3158[18], i71[18], i3104[18])
(19): LOAD15508(java.lang.Object(ARRAY(i4[19], a30817data[19])), i3085[19], i71[19], i3104[19]) → LOAD15508ARR6(java.lang.Object(ARRAY(i4[19], a30817data[19])), i3085[19], i71[19], i3104[19], java.lang.Object(java.lang.String(i3403[19])))
(20): LOAD15508ARR6(java.lang.Object(ARRAY(i4[20], a30817data[20])), i3085[20], i71[20], i3104[20], java.lang.Object(java.lang.String(i3403[20]))) → COND_LOAD15508ARR6(i3403[20] > 0 && i3085[20] > 0 && i3085[20] < i4[20] && i3104[20] > 0 && i3085[20] + 1 > 0, java.lang.Object(ARRAY(i4[20], a30817data[20])), i3085[20], i71[20], i3104[20], java.lang.Object(java.lang.String(i3403[20])))
(22): LOAD15508(java.lang.Object(ARRAY(i4[22], a30817data[22])), i3085[22], i71[22], i3104[22]) → LOAD15508ARR7(java.lang.Object(ARRAY(i4[22], a30817data[22])), i3085[22], i71[22], i3104[22], java.lang.Object(java.lang.String(i3404[22])))
(23): LOAD15508ARR7(java.lang.Object(ARRAY(i4[23], a30817data[23])), i3085[23], i71[23], i3104[23], java.lang.Object(java.lang.String(i3404[23]))) → COND_LOAD15508ARR7(i3404[23] <= 0 && i3085[23] > 0 && i3085[23] < i4[23] && i3104[23] > 0 && i3085[23] + 1 > 0, java.lang.Object(ARRAY(i4[23], a30817data[23])), i3085[23], i71[23], i3104[23], java.lang.Object(java.lang.String(i3404[23])))
(25): LOAD15508(java.lang.Object(ARRAY(i4[25], a30817data[25])), i3085[25], i71[25], i3104[25]) → LOAD15508ARR10(java.lang.Object(ARRAY(i4[25], a30817data[25])), i3085[25], i71[25], i3104[25], java.lang.Object(java.lang.String(i3404[25])))
(26): LOAD15508ARR10(java.lang.Object(ARRAY(i4[26], a30817data[26])), i3085[26], i71[26], i3104[26], java.lang.Object(java.lang.String(i3404[26]))) → COND_LOAD15508ARR10(i3404[26] <= 0 && i3085[26] > 0 && i3085[26] < i4[26] && i3104[26] > 0 && i3085[26] + 1 > 0, java.lang.Object(ARRAY(i4[26], a30817data[26])), i3085[26], i71[26], i3104[26], java.lang.Object(java.lang.String(i3404[26])))

(0) -> (1), if ((i65[0]* i65[1])∧(i71[0]* i71[1])∧((i4[0]* i4[1])∧(a1938data[0]* a1938data[1])))


(8) -> (3), if ((i71[8]* i71[3])∧(i3158[8]* i3085[3])∧((i4[8]* i4[3])∧(a30817data[8]* a30817data[3]))∧(i3104[8] + -1* i3105[3]))


(5) -> (6), if ((i65[5]* i65[6])∧(i71[5]* i71[6])∧((i4[5]* i4[6])∧(a1938data[5]* a1938data[6]))∧((i120[5]* i120[6])))


(18) -> (8), if (((i4[18]* i4[8])∧(a30817data[18]* a30817data[8]))∧(i71[18]* i71[8])∧(i3104[18]* i3104[8])∧(i3158[18]* i3158[8]))


(8) -> (9), if (((i4[8]* i4[9])∧(a30817data[8]* a30817data[9]))∧(i3158[8]* i3085[9])∧(i3104[8] + -1* i3104[9])∧(i71[8]* i71[9]))


(9) -> (10), if ((i3085[9]* i3085[10])∧(i3104[9]* i3104[10])∧(i71[9]* i71[10])∧((i4[9]* i4[10])∧(a30817data[9]* a30817data[10]))∧((i3404[9]* i3404[10])))


(8) -> (12), if ((i71[8]* i71[12])∧(i3158[8]* i3085[12])∧((i4[8]* i4[12])∧(a30817data[8]* a30817data[12]))∧(i3104[8] + -1* i3104[12]))


(12) -> (13), if (((i3403[12]* i3403[13]))∧(i3085[12]* i3085[13])∧(i71[12]* i71[13])∧(i3104[12]* i3104[13])∧((i4[12]* i4[13])∧(a30817data[12]* a30817data[13])))


(8) -> (15), if (((i4[8]* i4[15])∧(a30817data[8]* a30817data[15]))∧(i3158[8]* i3085[15])∧(i71[8]* i71[15])∧(i3104[8] + -1* i3104[15]))


(15) -> (16), if ((i3085[15]* i3085[16])∧(i71[15]* i71[16])∧(i3104[15]* i3104[16])∧((i3403[15]* i3403[16]))∧((i4[15]* i4[16])∧(a30817data[15]* a30817data[16])))


(8) -> (19), if ((i3104[8] + -1* i3104[19])∧(i3158[8]* i3085[19])∧((i4[8]* i4[19])∧(a30817data[8]* a30817data[19]))∧(i71[8]* i71[19]))


(19) -> (20), if ((i3085[19]* i3085[20])∧((i3403[19]* i3403[20]))∧(i3104[19]* i3104[20])∧((i4[19]* i4[20])∧(a30817data[19]* a30817data[20]))∧(i71[19]* i71[20]))


(8) -> (22), if ((i3158[8]* i3085[22])∧(i3104[8] + -1* i3104[22])∧(i71[8]* i71[22])∧((i4[8]* i4[22])∧(a30817data[8]* a30817data[22])))


(22) -> (23), if (((i3404[22]* i3404[23]))∧(i3104[22]* i3104[23])∧(i3085[22]* i3085[23])∧(i71[22]* i71[23])∧((i4[22]* i4[23])∧(a30817data[22]* a30817data[23])))


(8) -> (25), if ((i71[8]* i71[25])∧((i4[8]* i4[25])∧(a30817data[8]* a30817data[25]))∧(i3158[8]* i3085[25])∧(i3104[8] + -1* i3104[25]))


(25) -> (26), if ((i71[25]* i71[26])∧((i3404[25]* i3404[26]))∧(i3104[25]* i3104[26])∧(i3085[25]* i3085[26])∧((i4[25]* i4[26])∧(a30817data[25]* a30817data[26])))



The set Q consists of the following terms:
Load1577(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load1577ARR1(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Cond_Load1577ARR1(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load15508(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4)
Cond_Load15508(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4)
Load1577ARR2(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load1577ARR2(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Inc18057(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4)
Load15508ARR3(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Cond_Load15508ARR3(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Load15508ARR4(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Cond_Load15508ARR4(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Load15508ARR5(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Cond_Load15508ARR5(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
JMP17958(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4)
Load15508ARR6(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Cond_Load15508ARR6(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Load15508ARR7(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Cond_Load15508ARR7(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Load15508ARR10(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Cond_Load15508ARR10(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))

(30) IDependencyGraphProof (EQUIVALENT transformation)

The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 0 SCCs with 19 less nodes.

(31) TRUE

(32) 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, Boolean


R is empty.

The integer pair graph contains the following rules and edges:
(0): LOAD1577(java.lang.Object(ARRAY(i4[0], a1938data[0])), i65[0], i71[0]) → LOAD1577ARR1(java.lang.Object(ARRAY(i4[0], a1938data[0])), i65[0], i71[0])
(2): COND_LOAD1577ARR1(TRUE, java.lang.Object(ARRAY(i4[2], a1938data[2])), i65[2], i71[2]) → LOAD1577(java.lang.Object(ARRAY(i4[2], a1938data[2])), i65[2] + 1, i71[2] + -1)
(3): LOAD15508(java.lang.Object(ARRAY(i4[3], a30817data[3])), i3085[3], i71[3], i3105[3]) → COND_LOAD15508(i3105[3] <= 0 && i71[3] > 0, java.lang.Object(ARRAY(i4[3], a30817data[3])), i3085[3], i71[3], i3105[3])
(4): COND_LOAD15508(TRUE, java.lang.Object(ARRAY(i4[4], a30817data[4])), i3085[4], i71[4], i3105[4]) → LOAD1577(java.lang.Object(ARRAY(i4[4], a30817data[4])), i3085[4], i71[4] + -1)
(5): LOAD1577(java.lang.Object(ARRAY(i4[5], a1938data[5])), i65[5], i71[5]) → LOAD1577ARR2(java.lang.Object(ARRAY(i4[5], a1938data[5])), i65[5], i71[5], java.lang.Object(java.lang.String(i120[5])))
(7): COND_LOAD1577ARR2(TRUE, java.lang.Object(ARRAY(i4[7], a1938data[7])), i65[7], i71[7], java.lang.Object(java.lang.String(i120[7]))) → LOAD15508(java.lang.Object(ARRAY(i4[7], a1938data[7])), i65[7] + 1, i71[7], i120[7])
(8): INC18057(java.lang.Object(ARRAY(i4[8], a30817data[8])), i3158[8], i71[8], i3104[8]) → LOAD15508(java.lang.Object(ARRAY(i4[8], a30817data[8])), i3158[8], i71[8], i3104[8] + -1)
(9): LOAD15508(java.lang.Object(ARRAY(i4[9], a30817data[9])), i3085[9], i71[9], i3104[9]) → LOAD15508ARR3(java.lang.Object(ARRAY(i4[9], a30817data[9])), i3085[9], i71[9], i3104[9], java.lang.Object(java.lang.String(i3404[9])))
(10): LOAD15508ARR3(java.lang.Object(ARRAY(i4[10], a30817data[10])), i3085[10], i71[10], i3104[10], java.lang.Object(java.lang.String(i3404[10]))) → COND_LOAD15508ARR3(i3404[10] <= 0 && i3085[10] > 0 && i3085[10] < i4[10] && i3104[10] > 0 && i3085[10] + 1 > 0, java.lang.Object(ARRAY(i4[10], a30817data[10])), i3085[10], i71[10], i3104[10], java.lang.Object(java.lang.String(i3404[10])))
(11): COND_LOAD15508ARR3(TRUE, java.lang.Object(ARRAY(i4[11], a30817data[11])), i3085[11], i71[11], i3104[11], java.lang.Object(java.lang.String(i3404[11]))) → LOAD15508(java.lang.Object(ARRAY(i4[11], a30817data[11])), i3085[11] + 1, i71[11], i3104[11] + -1)
(12): LOAD15508(java.lang.Object(ARRAY(i4[12], a30817data[12])), i3085[12], i71[12], i3104[12]) → LOAD15508ARR4(java.lang.Object(ARRAY(i4[12], a30817data[12])), i3085[12], i71[12], i3104[12], java.lang.Object(java.lang.String(i3403[12])))
(13): LOAD15508ARR4(java.lang.Object(ARRAY(i4[13], a30817data[13])), i3085[13], i71[13], i3104[13], java.lang.Object(java.lang.String(i3403[13]))) → COND_LOAD15508ARR4(i3403[13] > 0 && i3085[13] > 0 && i3085[13] < i4[13] && i3104[13] > 0 && i3085[13] + 1 > 0, java.lang.Object(ARRAY(i4[13], a30817data[13])), i3085[13], i71[13], i3104[13], java.lang.Object(java.lang.String(i3403[13])))
(14): COND_LOAD15508ARR4(TRUE, java.lang.Object(ARRAY(i4[14], a30817data[14])), i3085[14], i71[14], i3104[14], java.lang.Object(java.lang.String(i3403[14]))) → LOAD15508(java.lang.Object(ARRAY(i4[14], a30817data[14])), i3085[14] + 1, i71[14], i3104[14] + -1)
(15): LOAD15508(java.lang.Object(ARRAY(i4[15], a30817data[15])), i3085[15], i71[15], i3104[15]) → LOAD15508ARR5(java.lang.Object(ARRAY(i4[15], a30817data[15])), i3085[15], i71[15], i3104[15], java.lang.Object(java.lang.String(i3403[15])))
(16): LOAD15508ARR5(java.lang.Object(ARRAY(i4[16], a30817data[16])), i3085[16], i71[16], i3104[16], java.lang.Object(java.lang.String(i3403[16]))) → COND_LOAD15508ARR5(i3403[16] > 0 && i3085[16] > 0 && i3085[16] < i4[16] && i3104[16] > 0 && i3085[16] + 1 > 0, java.lang.Object(ARRAY(i4[16], a30817data[16])), i3085[16], i71[16], i3104[16], java.lang.Object(java.lang.String(i3403[16])))
(17): COND_LOAD15508ARR5(TRUE, java.lang.Object(ARRAY(i4[17], a30817data[17])), i3085[17], i71[17], i3104[17], java.lang.Object(java.lang.String(i3403[17]))) → JMP17958'(java.lang.Object(ARRAY(i4[17], a30817data[17])), i3085[17] + 1, i71[17], i3104[17])
(18): JMP17958'(java.lang.Object(ARRAY(i4[18], a30817data[18])), i3158[18], i71[18], i3104[18]) → INC18057(java.lang.Object(ARRAY(i4[18], a30817data[18])), i3158[18], i71[18], i3104[18])
(19): LOAD15508(java.lang.Object(ARRAY(i4[19], a30817data[19])), i3085[19], i71[19], i3104[19]) → LOAD15508ARR6(java.lang.Object(ARRAY(i4[19], a30817data[19])), i3085[19], i71[19], i3104[19], java.lang.Object(java.lang.String(i3403[19])))
(20): LOAD15508ARR6(java.lang.Object(ARRAY(i4[20], a30817data[20])), i3085[20], i71[20], i3104[20], java.lang.Object(java.lang.String(i3403[20]))) → COND_LOAD15508ARR6(i3403[20] > 0 && i3085[20] > 0 && i3085[20] < i4[20] && i3104[20] > 0 && i3085[20] + 1 > 0, java.lang.Object(ARRAY(i4[20], a30817data[20])), i3085[20], i71[20], i3104[20], java.lang.Object(java.lang.String(i3403[20])))
(21): COND_LOAD15508ARR6(TRUE, java.lang.Object(ARRAY(i4[21], a30817data[21])), i3085[21], i71[21], i3104[21], java.lang.Object(java.lang.String(i3403[21]))) → INC18057(java.lang.Object(ARRAY(i4[21], a30817data[21])), i3085[21] + 1, i71[21], i3104[21])
(22): LOAD15508(java.lang.Object(ARRAY(i4[22], a30817data[22])), i3085[22], i71[22], i3104[22]) → LOAD15508ARR7(java.lang.Object(ARRAY(i4[22], a30817data[22])), i3085[22], i71[22], i3104[22], java.lang.Object(java.lang.String(i3404[22])))
(23): LOAD15508ARR7(java.lang.Object(ARRAY(i4[23], a30817data[23])), i3085[23], i71[23], i3104[23], java.lang.Object(java.lang.String(i3404[23]))) → COND_LOAD15508ARR7(i3404[23] <= 0 && i3085[23] > 0 && i3085[23] < i4[23] && i3104[23] > 0 && i3085[23] + 1 > 0, java.lang.Object(ARRAY(i4[23], a30817data[23])), i3085[23], i71[23], i3104[23], java.lang.Object(java.lang.String(i3404[23])))
(24): COND_LOAD15508ARR7(TRUE, java.lang.Object(ARRAY(i4[24], a30817data[24])), i3085[24], i71[24], i3104[24], java.lang.Object(java.lang.String(i3404[24]))) → INC18057(java.lang.Object(ARRAY(i4[24], a30817data[24])), i3085[24] + 1, i71[24], i3104[24])
(25): LOAD15508(java.lang.Object(ARRAY(i4[25], a30817data[25])), i3085[25], i71[25], i3104[25]) → LOAD15508ARR10(java.lang.Object(ARRAY(i4[25], a30817data[25])), i3085[25], i71[25], i3104[25], java.lang.Object(java.lang.String(i3404[25])))
(26): LOAD15508ARR10(java.lang.Object(ARRAY(i4[26], a30817data[26])), i3085[26], i71[26], i3104[26], java.lang.Object(java.lang.String(i3404[26]))) → COND_LOAD15508ARR10(i3404[26] <= 0 && i3085[26] > 0 && i3085[26] < i4[26] && i3104[26] > 0 && i3085[26] + 1 > 0, java.lang.Object(ARRAY(i4[26], a30817data[26])), i3085[26], i71[26], i3104[26], java.lang.Object(java.lang.String(i3404[26])))
(27): COND_LOAD15508ARR10(TRUE, java.lang.Object(ARRAY(i4[27], a30817data[27])), i3085[27], i71[27], i3104[27], java.lang.Object(java.lang.String(i3404[27]))) → JMP17958'(java.lang.Object(ARRAY(i4[27], a30817data[27])), i3085[27] + 1, i71[27], i3104[27])

(2) -> (0), if ((i65[2] + 1* i65[0])∧((i4[2]* i4[0])∧(a1938data[2]* a1938data[0]))∧(i71[2] + -1* i71[0]))


(4) -> (0), if ((i3085[4]* i65[0])∧(i71[4] + -1* i71[0])∧((i4[4]* i4[0])∧(a30817data[4]* a1938data[0])))


(7) -> (3), if ((i120[7]* i3105[3])∧((i4[7]* i4[3])∧(a1938data[7]* a30817data[3]))∧(i65[7] + 1* i3085[3])∧(i71[7]* i71[3]))


(8) -> (3), if ((i71[8]* i71[3])∧(i3158[8]* i3085[3])∧((i4[8]* i4[3])∧(a30817data[8]* a30817data[3]))∧(i3104[8] + -1* i3105[3]))


(11) -> (3), if (((i4[11]* i4[3])∧(a30817data[11]* a30817data[3]))∧(i3085[11] + 1* i3085[3])∧(i3104[11] + -1* i3105[3])∧(i71[11]* i71[3]))


(14) -> (3), if ((i3104[14] + -1* i3105[3])∧((i4[14]* i4[3])∧(a30817data[14]* a30817data[3]))∧(i3085[14] + 1* i3085[3])∧(i71[14]* i71[3]))


(3) -> (4), if ((i3085[3]* i3085[4])∧((i4[3]* i4[4])∧(a30817data[3]* a30817data[4]))∧(i3105[3]* i3105[4])∧(i71[3]* i71[4])∧(i3105[3] <= 0 && i71[3] > 0* TRUE))


(2) -> (5), if (((i4[2]* i4[5])∧(a1938data[2]* a1938data[5]))∧(i65[2] + 1* i65[5])∧(i71[2] + -1* i71[5]))


(4) -> (5), if (((i4[4]* i4[5])∧(a30817data[4]* a1938data[5]))∧(i71[4] + -1* i71[5])∧(i3085[4]* i65[5]))


(18) -> (8), if (((i4[18]* i4[8])∧(a30817data[18]* a30817data[8]))∧(i71[18]* i71[8])∧(i3104[18]* i3104[8])∧(i3158[18]* i3158[8]))


(21) -> (8), if ((i3104[21]* i3104[8])∧((i4[21]* i4[8])∧(a30817data[21]* a30817data[8]))∧(i3085[21] + 1* i3158[8])∧(i71[21]* i71[8]))


(24) -> (8), if ((i3104[24]* i3104[8])∧(i71[24]* i71[8])∧(i3085[24] + 1* i3158[8])∧((i4[24]* i4[8])∧(a30817data[24]* a30817data[8])))


(7) -> (9), if ((i71[7]* i71[9])∧(i65[7] + 1* i3085[9])∧((i4[7]* i4[9])∧(a1938data[7]* a30817data[9]))∧(i120[7]* i3104[9]))


(8) -> (9), if (((i4[8]* i4[9])∧(a30817data[8]* a30817data[9]))∧(i3158[8]* i3085[9])∧(i3104[8] + -1* i3104[9])∧(i71[8]* i71[9]))


(11) -> (9), if ((i71[11]* i71[9])∧((i4[11]* i4[9])∧(a30817data[11]* a30817data[9]))∧(i3085[11] + 1* i3085[9])∧(i3104[11] + -1* i3104[9]))


(14) -> (9), if ((i71[14]* i71[9])∧(i3085[14] + 1* i3085[9])∧(i3104[14] + -1* i3104[9])∧((i4[14]* i4[9])∧(a30817data[14]* a30817data[9])))


(9) -> (10), if ((i3085[9]* i3085[10])∧(i3104[9]* i3104[10])∧(i71[9]* i71[10])∧((i4[9]* i4[10])∧(a30817data[9]* a30817data[10]))∧((i3404[9]* i3404[10])))


(10) -> (11), if ((i3085[10]* i3085[11])∧((i4[10]* i4[11])∧(a30817data[10]* a30817data[11]))∧(i3404[10] <= 0 && i3085[10] > 0 && i3085[10] < i4[10] && i3104[10] > 0 && i3085[10] + 1 > 0* TRUE)∧((i3404[10]* i3404[11]))∧(i3104[10]* i3104[11])∧(i71[10]* i71[11]))


(7) -> (12), if ((i65[7] + 1* i3085[12])∧((i4[7]* i4[12])∧(a1938data[7]* a30817data[12]))∧(i71[7]* i71[12])∧(i120[7]* i3104[12]))


(8) -> (12), if ((i71[8]* i71[12])∧(i3158[8]* i3085[12])∧((i4[8]* i4[12])∧(a30817data[8]* a30817data[12]))∧(i3104[8] + -1* i3104[12]))


(11) -> (12), if ((i71[11]* i71[12])∧(i3085[11] + 1* i3085[12])∧((i4[11]* i4[12])∧(a30817data[11]* a30817data[12]))∧(i3104[11] + -1* i3104[12]))


(14) -> (12), if (((i4[14]* i4[12])∧(a30817data[14]* a30817data[12]))∧(i3104[14] + -1* i3104[12])∧(i71[14]* i71[12])∧(i3085[14] + 1* i3085[12]))


(12) -> (13), if (((i3403[12]* i3403[13]))∧(i3085[12]* i3085[13])∧(i71[12]* i71[13])∧(i3104[12]* i3104[13])∧((i4[12]* i4[13])∧(a30817data[12]* a30817data[13])))


(13) -> (14), if ((i71[13]* i71[14])∧(i3403[13] > 0 && i3085[13] > 0 && i3085[13] < i4[13] && i3104[13] > 0 && i3085[13] + 1 > 0* TRUE)∧(i3104[13]* i3104[14])∧((i3403[13]* i3403[14]))∧(i3085[13]* i3085[14])∧((i4[13]* i4[14])∧(a30817data[13]* a30817data[14])))


(7) -> (15), if ((i71[7]* i71[15])∧(i65[7] + 1* i3085[15])∧((i4[7]* i4[15])∧(a1938data[7]* a30817data[15]))∧(i120[7]* i3104[15]))


(8) -> (15), if (((i4[8]* i4[15])∧(a30817data[8]* a30817data[15]))∧(i3158[8]* i3085[15])∧(i71[8]* i71[15])∧(i3104[8] + -1* i3104[15]))


(11) -> (15), if (((i4[11]* i4[15])∧(a30817data[11]* a30817data[15]))∧(i3085[11] + 1* i3085[15])∧(i3104[11] + -1* i3104[15])∧(i71[11]* i71[15]))


(14) -> (15), if ((i3104[14] + -1* i3104[15])∧(i71[14]* i71[15])∧(i3085[14] + 1* i3085[15])∧((i4[14]* i4[15])∧(a30817data[14]* a30817data[15])))


(15) -> (16), if ((i3085[15]* i3085[16])∧(i71[15]* i71[16])∧(i3104[15]* i3104[16])∧((i3403[15]* i3403[16]))∧((i4[15]* i4[16])∧(a30817data[15]* a30817data[16])))


(16) -> (17), if ((i3104[16]* i3104[17])∧((i4[16]* i4[17])∧(a30817data[16]* a30817data[17]))∧((i3403[16]* i3403[17]))∧(i3085[16]* i3085[17])∧(i3403[16] > 0 && i3085[16] > 0 && i3085[16] < i4[16] && i3104[16] > 0 && i3085[16] + 1 > 0* TRUE)∧(i71[16]* i71[17]))


(17) -> (18), if ((i3104[17]* i3104[18])∧((i4[17]* i4[18])∧(a30817data[17]* a30817data[18]))∧(i3085[17] + 1* i3158[18])∧(i71[17]* i71[18]))


(27) -> (18), if (((i4[27]* i4[18])∧(a30817data[27]* a30817data[18]))∧(i3104[27]* i3104[18])∧(i71[27]* i71[18])∧(i3085[27] + 1* i3158[18]))


(7) -> (19), if ((i71[7]* i71[19])∧(i65[7] + 1* i3085[19])∧(i120[7]* i3104[19])∧((i4[7]* i4[19])∧(a1938data[7]* a30817data[19])))


(8) -> (19), if ((i3104[8] + -1* i3104[19])∧(i3158[8]* i3085[19])∧((i4[8]* i4[19])∧(a30817data[8]* a30817data[19]))∧(i71[8]* i71[19]))


(11) -> (19), if ((i3085[11] + 1* i3085[19])∧((i4[11]* i4[19])∧(a30817data[11]* a30817data[19]))∧(i71[11]* i71[19])∧(i3104[11] + -1* i3104[19]))


(14) -> (19), if ((i3085[14] + 1* i3085[19])∧(i71[14]* i71[19])∧(i3104[14] + -1* i3104[19])∧((i4[14]* i4[19])∧(a30817data[14]* a30817data[19])))


(19) -> (20), if ((i3085[19]* i3085[20])∧((i3403[19]* i3403[20]))∧(i3104[19]* i3104[20])∧((i4[19]* i4[20])∧(a30817data[19]* a30817data[20]))∧(i71[19]* i71[20]))


(20) -> (21), if ((i3403[20] > 0 && i3085[20] > 0 && i3085[20] < i4[20] && i3104[20] > 0 && i3085[20] + 1 > 0* TRUE)∧(i3104[20]* i3104[21])∧(i71[20]* i71[21])∧((i3403[20]* i3403[21]))∧((i4[20]* i4[21])∧(a30817data[20]* a30817data[21]))∧(i3085[20]* i3085[21]))


(7) -> (22), if (((i4[7]* i4[22])∧(a1938data[7]* a30817data[22]))∧(i120[7]* i3104[22])∧(i65[7] + 1* i3085[22])∧(i71[7]* i71[22]))


(8) -> (22), if ((i3158[8]* i3085[22])∧(i3104[8] + -1* i3104[22])∧(i71[8]* i71[22])∧((i4[8]* i4[22])∧(a30817data[8]* a30817data[22])))


(11) -> (22), if (((i4[11]* i4[22])∧(a30817data[11]* a30817data[22]))∧(i3085[11] + 1* i3085[22])∧(i71[11]* i71[22])∧(i3104[11] + -1* i3104[22]))


(14) -> (22), if ((i71[14]* i71[22])∧((i4[14]* i4[22])∧(a30817data[14]* a30817data[22]))∧(i3104[14] + -1* i3104[22])∧(i3085[14] + 1* i3085[22]))


(22) -> (23), if (((i3404[22]* i3404[23]))∧(i3104[22]* i3104[23])∧(i3085[22]* i3085[23])∧(i71[22]* i71[23])∧((i4[22]* i4[23])∧(a30817data[22]* a30817data[23])))


(23) -> (24), if ((i3085[23]* i3085[24])∧(i3104[23]* i3104[24])∧((i3404[23]* i3404[24]))∧(i71[23]* i71[24])∧((i4[23]* i4[24])∧(a30817data[23]* a30817data[24]))∧(i3404[23] <= 0 && i3085[23] > 0 && i3085[23] < i4[23] && i3104[23] > 0 && i3085[23] + 1 > 0* TRUE))


(7) -> (25), if ((i65[7] + 1* i3085[25])∧(i71[7]* i71[25])∧((i4[7]* i4[25])∧(a1938data[7]* a30817data[25]))∧(i120[7]* i3104[25]))


(8) -> (25), if ((i71[8]* i71[25])∧((i4[8]* i4[25])∧(a30817data[8]* a30817data[25]))∧(i3158[8]* i3085[25])∧(i3104[8] + -1* i3104[25]))


(11) -> (25), if ((i3085[11] + 1* i3085[25])∧(i3104[11] + -1* i3104[25])∧((i4[11]* i4[25])∧(a30817data[11]* a30817data[25]))∧(i71[11]* i71[25]))


(14) -> (25), if (((i4[14]* i4[25])∧(a30817data[14]* a30817data[25]))∧(i3104[14] + -1* i3104[25])∧(i71[14]* i71[25])∧(i3085[14] + 1* i3085[25]))


(25) -> (26), if ((i71[25]* i71[26])∧((i3404[25]* i3404[26]))∧(i3104[25]* i3104[26])∧(i3085[25]* i3085[26])∧((i4[25]* i4[26])∧(a30817data[25]* a30817data[26])))


(26) -> (27), if ((i3104[26]* i3104[27])∧(i3085[26]* i3085[27])∧((i4[26]* i4[27])∧(a30817data[26]* a30817data[27]))∧(i71[26]* i71[27])∧((i3404[26]* i3404[27]))∧(i3404[26] <= 0 && i3085[26] > 0 && i3085[26] < i4[26] && i3104[26] > 0 && i3085[26] + 1 > 0* TRUE))



The set Q consists of the following terms:
Load1577(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load1577ARR1(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Cond_Load1577ARR1(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load15508(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4)
Cond_Load15508(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4)
Load1577ARR2(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load1577ARR2(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Inc18057(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4)
Load15508ARR3(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Cond_Load15508ARR3(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Load15508ARR4(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Cond_Load15508ARR4(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Load15508ARR5(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Cond_Load15508ARR5(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
JMP17958(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4)
Load15508ARR6(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Cond_Load15508ARR6(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Load15508ARR7(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Cond_Load15508ARR7(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Load15508ARR10(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Cond_Load15508ARR10(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))

(33) IDependencyGraphProof (EQUIVALENT transformation)

The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 1 SCC with 6 less nodes.

(34) 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, Boolean


R is empty.

The integer pair graph contains the following rules and edges:
(27): COND_LOAD15508ARR10(TRUE, java.lang.Object(ARRAY(i4[27], a30817data[27])), i3085[27], i71[27], i3104[27], java.lang.Object(java.lang.String(i3404[27]))) → JMP17958'(java.lang.Object(ARRAY(i4[27], a30817data[27])), i3085[27] + 1, i71[27], i3104[27])
(26): LOAD15508ARR10(java.lang.Object(ARRAY(i4[26], a30817data[26])), i3085[26], i71[26], i3104[26], java.lang.Object(java.lang.String(i3404[26]))) → COND_LOAD15508ARR10(i3404[26] <= 0 && i3085[26] > 0 && i3085[26] < i4[26] && i3104[26] > 0 && i3085[26] + 1 > 0, java.lang.Object(ARRAY(i4[26], a30817data[26])), i3085[26], i71[26], i3104[26], java.lang.Object(java.lang.String(i3404[26])))
(25): LOAD15508(java.lang.Object(ARRAY(i4[25], a30817data[25])), i3085[25], i71[25], i3104[25]) → LOAD15508ARR10(java.lang.Object(ARRAY(i4[25], a30817data[25])), i3085[25], i71[25], i3104[25], java.lang.Object(java.lang.String(i3404[25])))
(24): COND_LOAD15508ARR7(TRUE, java.lang.Object(ARRAY(i4[24], a30817data[24])), i3085[24], i71[24], i3104[24], java.lang.Object(java.lang.String(i3404[24]))) → INC18057(java.lang.Object(ARRAY(i4[24], a30817data[24])), i3085[24] + 1, i71[24], i3104[24])
(23): LOAD15508ARR7(java.lang.Object(ARRAY(i4[23], a30817data[23])), i3085[23], i71[23], i3104[23], java.lang.Object(java.lang.String(i3404[23]))) → COND_LOAD15508ARR7(i3404[23] <= 0 && i3085[23] > 0 && i3085[23] < i4[23] && i3104[23] > 0 && i3085[23] + 1 > 0, java.lang.Object(ARRAY(i4[23], a30817data[23])), i3085[23], i71[23], i3104[23], java.lang.Object(java.lang.String(i3404[23])))
(22): LOAD15508(java.lang.Object(ARRAY(i4[22], a30817data[22])), i3085[22], i71[22], i3104[22]) → LOAD15508ARR7(java.lang.Object(ARRAY(i4[22], a30817data[22])), i3085[22], i71[22], i3104[22], java.lang.Object(java.lang.String(i3404[22])))
(21): COND_LOAD15508ARR6(TRUE, java.lang.Object(ARRAY(i4[21], a30817data[21])), i3085[21], i71[21], i3104[21], java.lang.Object(java.lang.String(i3403[21]))) → INC18057(java.lang.Object(ARRAY(i4[21], a30817data[21])), i3085[21] + 1, i71[21], i3104[21])
(20): LOAD15508ARR6(java.lang.Object(ARRAY(i4[20], a30817data[20])), i3085[20], i71[20], i3104[20], java.lang.Object(java.lang.String(i3403[20]))) → COND_LOAD15508ARR6(i3403[20] > 0 && i3085[20] > 0 && i3085[20] < i4[20] && i3104[20] > 0 && i3085[20] + 1 > 0, java.lang.Object(ARRAY(i4[20], a30817data[20])), i3085[20], i71[20], i3104[20], java.lang.Object(java.lang.String(i3403[20])))
(19): LOAD15508(java.lang.Object(ARRAY(i4[19], a30817data[19])), i3085[19], i71[19], i3104[19]) → LOAD15508ARR6(java.lang.Object(ARRAY(i4[19], a30817data[19])), i3085[19], i71[19], i3104[19], java.lang.Object(java.lang.String(i3403[19])))
(8): INC18057(java.lang.Object(ARRAY(i4[8], a30817data[8])), i3158[8], i71[8], i3104[8]) → LOAD15508(java.lang.Object(ARRAY(i4[8], a30817data[8])), i3158[8], i71[8], i3104[8] + -1)
(18): JMP17958'(java.lang.Object(ARRAY(i4[18], a30817data[18])), i3158[18], i71[18], i3104[18]) → INC18057(java.lang.Object(ARRAY(i4[18], a30817data[18])), i3158[18], i71[18], i3104[18])
(17): COND_LOAD15508ARR5(TRUE, java.lang.Object(ARRAY(i4[17], a30817data[17])), i3085[17], i71[17], i3104[17], java.lang.Object(java.lang.String(i3403[17]))) → JMP17958'(java.lang.Object(ARRAY(i4[17], a30817data[17])), i3085[17] + 1, i71[17], i3104[17])
(16): LOAD15508ARR5(java.lang.Object(ARRAY(i4[16], a30817data[16])), i3085[16], i71[16], i3104[16], java.lang.Object(java.lang.String(i3403[16]))) → COND_LOAD15508ARR5(i3403[16] > 0 && i3085[16] > 0 && i3085[16] < i4[16] && i3104[16] > 0 && i3085[16] + 1 > 0, java.lang.Object(ARRAY(i4[16], a30817data[16])), i3085[16], i71[16], i3104[16], java.lang.Object(java.lang.String(i3403[16])))
(15): LOAD15508(java.lang.Object(ARRAY(i4[15], a30817data[15])), i3085[15], i71[15], i3104[15]) → LOAD15508ARR5(java.lang.Object(ARRAY(i4[15], a30817data[15])), i3085[15], i71[15], i3104[15], java.lang.Object(java.lang.String(i3403[15])))
(14): COND_LOAD15508ARR4(TRUE, java.lang.Object(ARRAY(i4[14], a30817data[14])), i3085[14], i71[14], i3104[14], java.lang.Object(java.lang.String(i3403[14]))) → LOAD15508(java.lang.Object(ARRAY(i4[14], a30817data[14])), i3085[14] + 1, i71[14], i3104[14] + -1)
(13): LOAD15508ARR4(java.lang.Object(ARRAY(i4[13], a30817data[13])), i3085[13], i71[13], i3104[13], java.lang.Object(java.lang.String(i3403[13]))) → COND_LOAD15508ARR4(i3403[13] > 0 && i3085[13] > 0 && i3085[13] < i4[13] && i3104[13] > 0 && i3085[13] + 1 > 0, java.lang.Object(ARRAY(i4[13], a30817data[13])), i3085[13], i71[13], i3104[13], java.lang.Object(java.lang.String(i3403[13])))
(12): LOAD15508(java.lang.Object(ARRAY(i4[12], a30817data[12])), i3085[12], i71[12], i3104[12]) → LOAD15508ARR4(java.lang.Object(ARRAY(i4[12], a30817data[12])), i3085[12], i71[12], i3104[12], java.lang.Object(java.lang.String(i3403[12])))
(11): COND_LOAD15508ARR3(TRUE, java.lang.Object(ARRAY(i4[11], a30817data[11])), i3085[11], i71[11], i3104[11], java.lang.Object(java.lang.String(i3404[11]))) → LOAD15508(java.lang.Object(ARRAY(i4[11], a30817data[11])), i3085[11] + 1, i71[11], i3104[11] + -1)
(10): LOAD15508ARR3(java.lang.Object(ARRAY(i4[10], a30817data[10])), i3085[10], i71[10], i3104[10], java.lang.Object(java.lang.String(i3404[10]))) → COND_LOAD15508ARR3(i3404[10] <= 0 && i3085[10] > 0 && i3085[10] < i4[10] && i3104[10] > 0 && i3085[10] + 1 > 0, java.lang.Object(ARRAY(i4[10], a30817data[10])), i3085[10], i71[10], i3104[10], java.lang.Object(java.lang.String(i3404[10])))
(9): LOAD15508(java.lang.Object(ARRAY(i4[9], a30817data[9])), i3085[9], i71[9], i3104[9]) → LOAD15508ARR3(java.lang.Object(ARRAY(i4[9], a30817data[9])), i3085[9], i71[9], i3104[9], java.lang.Object(java.lang.String(i3404[9])))

(18) -> (8), if (((i4[18]* i4[8])∧(a30817data[18]* a30817data[8]))∧(i71[18]* i71[8])∧(i3104[18]* i3104[8])∧(i3158[18]* i3158[8]))


(21) -> (8), if ((i3104[21]* i3104[8])∧((i4[21]* i4[8])∧(a30817data[21]* a30817data[8]))∧(i3085[21] + 1* i3158[8])∧(i71[21]* i71[8]))


(24) -> (8), if ((i3104[24]* i3104[8])∧(i71[24]* i71[8])∧(i3085[24] + 1* i3158[8])∧((i4[24]* i4[8])∧(a30817data[24]* a30817data[8])))


(8) -> (9), if (((i4[8]* i4[9])∧(a30817data[8]* a30817data[9]))∧(i3158[8]* i3085[9])∧(i3104[8] + -1* i3104[9])∧(i71[8]* i71[9]))


(11) -> (9), if ((i71[11]* i71[9])∧((i4[11]* i4[9])∧(a30817data[11]* a30817data[9]))∧(i3085[11] + 1* i3085[9])∧(i3104[11] + -1* i3104[9]))


(14) -> (9), if ((i71[14]* i71[9])∧(i3085[14] + 1* i3085[9])∧(i3104[14] + -1* i3104[9])∧((i4[14]* i4[9])∧(a30817data[14]* a30817data[9])))


(9) -> (10), if ((i3085[9]* i3085[10])∧(i3104[9]* i3104[10])∧(i71[9]* i71[10])∧((i4[9]* i4[10])∧(a30817data[9]* a30817data[10]))∧((i3404[9]* i3404[10])))


(10) -> (11), if ((i3085[10]* i3085[11])∧((i4[10]* i4[11])∧(a30817data[10]* a30817data[11]))∧(i3404[10] <= 0 && i3085[10] > 0 && i3085[10] < i4[10] && i3104[10] > 0 && i3085[10] + 1 > 0* TRUE)∧((i3404[10]* i3404[11]))∧(i3104[10]* i3104[11])∧(i71[10]* i71[11]))


(8) -> (12), if ((i71[8]* i71[12])∧(i3158[8]* i3085[12])∧((i4[8]* i4[12])∧(a30817data[8]* a30817data[12]))∧(i3104[8] + -1* i3104[12]))


(11) -> (12), if ((i71[11]* i71[12])∧(i3085[11] + 1* i3085[12])∧((i4[11]* i4[12])∧(a30817data[11]* a30817data[12]))∧(i3104[11] + -1* i3104[12]))


(14) -> (12), if (((i4[14]* i4[12])∧(a30817data[14]* a30817data[12]))∧(i3104[14] + -1* i3104[12])∧(i71[14]* i71[12])∧(i3085[14] + 1* i3085[12]))


(12) -> (13), if (((i3403[12]* i3403[13]))∧(i3085[12]* i3085[13])∧(i71[12]* i71[13])∧(i3104[12]* i3104[13])∧((i4[12]* i4[13])∧(a30817data[12]* a30817data[13])))


(13) -> (14), if ((i71[13]* i71[14])∧(i3403[13] > 0 && i3085[13] > 0 && i3085[13] < i4[13] && i3104[13] > 0 && i3085[13] + 1 > 0* TRUE)∧(i3104[13]* i3104[14])∧((i3403[13]* i3403[14]))∧(i3085[13]* i3085[14])∧((i4[13]* i4[14])∧(a30817data[13]* a30817data[14])))


(8) -> (15), if (((i4[8]* i4[15])∧(a30817data[8]* a30817data[15]))∧(i3158[8]* i3085[15])∧(i71[8]* i71[15])∧(i3104[8] + -1* i3104[15]))


(11) -> (15), if (((i4[11]* i4[15])∧(a30817data[11]* a30817data[15]))∧(i3085[11] + 1* i3085[15])∧(i3104[11] + -1* i3104[15])∧(i71[11]* i71[15]))


(14) -> (15), if ((i3104[14] + -1* i3104[15])∧(i71[14]* i71[15])∧(i3085[14] + 1* i3085[15])∧((i4[14]* i4[15])∧(a30817data[14]* a30817data[15])))


(15) -> (16), if ((i3085[15]* i3085[16])∧(i71[15]* i71[16])∧(i3104[15]* i3104[16])∧((i3403[15]* i3403[16]))∧((i4[15]* i4[16])∧(a30817data[15]* a30817data[16])))


(16) -> (17), if ((i3104[16]* i3104[17])∧((i4[16]* i4[17])∧(a30817data[16]* a30817data[17]))∧((i3403[16]* i3403[17]))∧(i3085[16]* i3085[17])∧(i3403[16] > 0 && i3085[16] > 0 && i3085[16] < i4[16] && i3104[16] > 0 && i3085[16] + 1 > 0* TRUE)∧(i71[16]* i71[17]))


(17) -> (18), if ((i3104[17]* i3104[18])∧((i4[17]* i4[18])∧(a30817data[17]* a30817data[18]))∧(i3085[17] + 1* i3158[18])∧(i71[17]* i71[18]))


(27) -> (18), if (((i4[27]* i4[18])∧(a30817data[27]* a30817data[18]))∧(i3104[27]* i3104[18])∧(i71[27]* i71[18])∧(i3085[27] + 1* i3158[18]))


(8) -> (19), if ((i3104[8] + -1* i3104[19])∧(i3158[8]* i3085[19])∧((i4[8]* i4[19])∧(a30817data[8]* a30817data[19]))∧(i71[8]* i71[19]))


(11) -> (19), if ((i3085[11] + 1* i3085[19])∧((i4[11]* i4[19])∧(a30817data[11]* a30817data[19]))∧(i71[11]* i71[19])∧(i3104[11] + -1* i3104[19]))


(14) -> (19), if ((i3085[14] + 1* i3085[19])∧(i71[14]* i71[19])∧(i3104[14] + -1* i3104[19])∧((i4[14]* i4[19])∧(a30817data[14]* a30817data[19])))


(19) -> (20), if ((i3085[19]* i3085[20])∧((i3403[19]* i3403[20]))∧(i3104[19]* i3104[20])∧((i4[19]* i4[20])∧(a30817data[19]* a30817data[20]))∧(i71[19]* i71[20]))


(20) -> (21), if ((i3403[20] > 0 && i3085[20] > 0 && i3085[20] < i4[20] && i3104[20] > 0 && i3085[20] + 1 > 0* TRUE)∧(i3104[20]* i3104[21])∧(i71[20]* i71[21])∧((i3403[20]* i3403[21]))∧((i4[20]* i4[21])∧(a30817data[20]* a30817data[21]))∧(i3085[20]* i3085[21]))


(8) -> (22), if ((i3158[8]* i3085[22])∧(i3104[8] + -1* i3104[22])∧(i71[8]* i71[22])∧((i4[8]* i4[22])∧(a30817data[8]* a30817data[22])))


(11) -> (22), if (((i4[11]* i4[22])∧(a30817data[11]* a30817data[22]))∧(i3085[11] + 1* i3085[22])∧(i71[11]* i71[22])∧(i3104[11] + -1* i3104[22]))


(14) -> (22), if ((i71[14]* i71[22])∧((i4[14]* i4[22])∧(a30817data[14]* a30817data[22]))∧(i3104[14] + -1* i3104[22])∧(i3085[14] + 1* i3085[22]))


(22) -> (23), if (((i3404[22]* i3404[23]))∧(i3104[22]* i3104[23])∧(i3085[22]* i3085[23])∧(i71[22]* i71[23])∧((i4[22]* i4[23])∧(a30817data[22]* a30817data[23])))


(23) -> (24), if ((i3085[23]* i3085[24])∧(i3104[23]* i3104[24])∧((i3404[23]* i3404[24]))∧(i71[23]* i71[24])∧((i4[23]* i4[24])∧(a30817data[23]* a30817data[24]))∧(i3404[23] <= 0 && i3085[23] > 0 && i3085[23] < i4[23] && i3104[23] > 0 && i3085[23] + 1 > 0* TRUE))


(8) -> (25), if ((i71[8]* i71[25])∧((i4[8]* i4[25])∧(a30817data[8]* a30817data[25]))∧(i3158[8]* i3085[25])∧(i3104[8] + -1* i3104[25]))


(11) -> (25), if ((i3085[11] + 1* i3085[25])∧(i3104[11] + -1* i3104[25])∧((i4[11]* i4[25])∧(a30817data[11]* a30817data[25]))∧(i71[11]* i71[25]))


(14) -> (25), if (((i4[14]* i4[25])∧(a30817data[14]* a30817data[25]))∧(i3104[14] + -1* i3104[25])∧(i71[14]* i71[25])∧(i3085[14] + 1* i3085[25]))


(25) -> (26), if ((i71[25]* i71[26])∧((i3404[25]* i3404[26]))∧(i3104[25]* i3104[26])∧(i3085[25]* i3085[26])∧((i4[25]* i4[26])∧(a30817data[25]* a30817data[26])))


(26) -> (27), if ((i3104[26]* i3104[27])∧(i3085[26]* i3085[27])∧((i4[26]* i4[27])∧(a30817data[26]* a30817data[27]))∧(i71[26]* i71[27])∧((i3404[26]* i3404[27]))∧(i3404[26] <= 0 && i3085[26] > 0 && i3085[26] < i4[26] && i3104[26] > 0 && i3085[26] + 1 > 0* TRUE))



The set Q consists of the following terms:
Load1577(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load1577ARR1(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Cond_Load1577ARR1(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load15508(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4)
Cond_Load15508(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4)
Load1577ARR2(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load1577ARR2(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Inc18057(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4)
Load15508ARR3(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Cond_Load15508ARR3(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Load15508ARR4(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Cond_Load15508ARR4(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Load15508ARR5(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Cond_Load15508ARR5(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
JMP17958(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4)
Load15508ARR6(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Cond_Load15508ARR6(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Load15508ARR7(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Cond_Load15508ARR7(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Load15508ARR10(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Cond_Load15508ARR10(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))

(35) 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 COND_LOAD15508ARR10(TRUE, java.lang.Object(ARRAY(i4[27], a30817data[27])), i3085[27], i71[27], i3104[27], java.lang.Object(java.lang.String(i3404[27]))) → JMP17958'(java.lang.Object(ARRAY(i4[27], a30817data[27])), +(i3085[27], 1), i71[27], i3104[27]) the following chains were created:
  • We consider the chain COND_LOAD15508ARR10(TRUE, java.lang.Object(ARRAY(i4[27], a30817data[27])), i3085[27], i71[27], i3104[27], java.lang.Object(java.lang.String(i3404[27]))) → JMP17958'(java.lang.Object(ARRAY(i4[27], a30817data[27])), +(i3085[27], 1), i71[27], i3104[27]) which results in the following constraint:

    (1)    (COND_LOAD15508ARR10(TRUE, java.lang.Object(ARRAY(i4[27], a30817data[27])), i3085[27], i71[27], i3104[27], java.lang.Object(java.lang.String(i3404[27])))≥NonInfC∧COND_LOAD15508ARR10(TRUE, java.lang.Object(ARRAY(i4[27], a30817data[27])), i3085[27], i71[27], i3104[27], java.lang.Object(java.lang.String(i3404[27])))≥JMP17958'(java.lang.Object(ARRAY(i4[27], a30817data[27])), +(i3085[27], 1), i71[27], i3104[27])∧(UIncreasing(JMP17958'(java.lang.Object(ARRAY(i4[27], a30817data[27])), +(i3085[27], 1), i71[27], i3104[27])), ≥))



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

    (2)    ((UIncreasing(JMP17958'(java.lang.Object(ARRAY(i4[27], a30817data[27])), +(i3085[27], 1), i71[27], i3104[27])), ≥)∧[(-1)bso_26] ≥ 0)



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

    (3)    ((UIncreasing(JMP17958'(java.lang.Object(ARRAY(i4[27], a30817data[27])), +(i3085[27], 1), i71[27], i3104[27])), ≥)∧[(-1)bso_26] ≥ 0)



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

    (4)    ((UIncreasing(JMP17958'(java.lang.Object(ARRAY(i4[27], a30817data[27])), +(i3085[27], 1), i71[27], i3104[27])), ≥)∧[(-1)bso_26] ≥ 0)



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

    (5)    ((UIncreasing(JMP17958'(java.lang.Object(ARRAY(i4[27], a30817data[27])), +(i3085[27], 1), i71[27], i3104[27])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_26] ≥ 0)







For Pair LOAD15508ARR10(java.lang.Object(ARRAY(i4[26], a30817data[26])), i3085[26], i71[26], i3104[26], java.lang.Object(java.lang.String(i3404[26]))) → COND_LOAD15508ARR10(&&(&&(&&(&&(<=(i3404[26], 0), >(i3085[26], 0)), <(i3085[26], i4[26])), >(i3104[26], 0)), >(+(i3085[26], 1), 0)), java.lang.Object(ARRAY(i4[26], a30817data[26])), i3085[26], i71[26], i3104[26], java.lang.Object(java.lang.String(i3404[26]))) the following chains were created:
  • We consider the chain LOAD15508ARR10(java.lang.Object(ARRAY(i4[26], a30817data[26])), i3085[26], i71[26], i3104[26], java.lang.Object(java.lang.String(i3404[26]))) → COND_LOAD15508ARR10(&&(&&(&&(&&(<=(i3404[26], 0), >(i3085[26], 0)), <(i3085[26], i4[26])), >(i3104[26], 0)), >(+(i3085[26], 1), 0)), java.lang.Object(ARRAY(i4[26], a30817data[26])), i3085[26], i71[26], i3104[26], java.lang.Object(java.lang.String(i3404[26]))), COND_LOAD15508ARR10(TRUE, java.lang.Object(ARRAY(i4[27], a30817data[27])), i3085[27], i71[27], i3104[27], java.lang.Object(java.lang.String(i3404[27]))) → JMP17958'(java.lang.Object(ARRAY(i4[27], a30817data[27])), +(i3085[27], 1), i71[27], i3104[27]) which results in the following constraint:

    (6)    (i3104[26]=i3104[27]i3085[26]=i3085[27]i4[26]=i4[27]a30817data[26]=a30817data[27]i71[26]=i71[27]i3404[26]=i3404[27]&&(&&(&&(&&(<=(i3404[26], 0), >(i3085[26], 0)), <(i3085[26], i4[26])), >(i3104[26], 0)), >(+(i3085[26], 1), 0))=TRUELOAD15508ARR10(java.lang.Object(ARRAY(i4[26], a30817data[26])), i3085[26], i71[26], i3104[26], java.lang.Object(java.lang.String(i3404[26])))≥NonInfC∧LOAD15508ARR10(java.lang.Object(ARRAY(i4[26], a30817data[26])), i3085[26], i71[26], i3104[26], java.lang.Object(java.lang.String(i3404[26])))≥COND_LOAD15508ARR10(&&(&&(&&(&&(<=(i3404[26], 0), >(i3085[26], 0)), <(i3085[26], i4[26])), >(i3104[26], 0)), >(+(i3085[26], 1), 0)), java.lang.Object(ARRAY(i4[26], a30817data[26])), i3085[26], i71[26], i3104[26], java.lang.Object(java.lang.String(i3404[26])))∧(UIncreasing(COND_LOAD15508ARR10(&&(&&(&&(&&(<=(i3404[26], 0), >(i3085[26], 0)), <(i3085[26], i4[26])), >(i3104[26], 0)), >(+(i3085[26], 1), 0)), java.lang.Object(ARRAY(i4[26], a30817data[26])), i3085[26], i71[26], i3104[26], java.lang.Object(java.lang.String(i3404[26])))), ≥))



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

    (7)    (>(+(i3085[26], 1), 0)=TRUE>(i3104[26], 0)=TRUE<(i3085[26], i4[26])=TRUE<=(i3404[26], 0)=TRUE>(i3085[26], 0)=TRUELOAD15508ARR10(java.lang.Object(ARRAY(i4[26], a30817data[26])), i3085[26], i71[26], i3104[26], java.lang.Object(java.lang.String(i3404[26])))≥NonInfC∧LOAD15508ARR10(java.lang.Object(ARRAY(i4[26], a30817data[26])), i3085[26], i71[26], i3104[26], java.lang.Object(java.lang.String(i3404[26])))≥COND_LOAD15508ARR10(&&(&&(&&(&&(<=(i3404[26], 0), >(i3085[26], 0)), <(i3085[26], i4[26])), >(i3104[26], 0)), >(+(i3085[26], 1), 0)), java.lang.Object(ARRAY(i4[26], a30817data[26])), i3085[26], i71[26], i3104[26], java.lang.Object(java.lang.String(i3404[26])))∧(UIncreasing(COND_LOAD15508ARR10(&&(&&(&&(&&(<=(i3404[26], 0), >(i3085[26], 0)), <(i3085[26], i4[26])), >(i3104[26], 0)), >(+(i3085[26], 1), 0)), java.lang.Object(ARRAY(i4[26], a30817data[26])), i3085[26], i71[26], i3104[26], java.lang.Object(java.lang.String(i3404[26])))), ≥))



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

    (8)    (i3085[26] ≥ 0∧i3104[26] + [-1] ≥ 0∧i4[26] + [-1] + [-1]i3085[26] ≥ 0∧[-1]i3404[26] ≥ 0∧i3085[26] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR10(&&(&&(&&(&&(<=(i3404[26], 0), >(i3085[26], 0)), <(i3085[26], i4[26])), >(i3104[26], 0)), >(+(i3085[26], 1), 0)), java.lang.Object(ARRAY(i4[26], a30817data[26])), i3085[26], i71[26], i3104[26], java.lang.Object(java.lang.String(i3404[26])))), ≥)∧[(-1)bni_27 + (-1)Bound*bni_27] + [bni_27]i3104[26] ≥ 0∧[(-1)bso_28] ≥ 0)



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

    (9)    (i3085[26] ≥ 0∧i3104[26] + [-1] ≥ 0∧i4[26] + [-1] + [-1]i3085[26] ≥ 0∧[-1]i3404[26] ≥ 0∧i3085[26] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR10(&&(&&(&&(&&(<=(i3404[26], 0), >(i3085[26], 0)), <(i3085[26], i4[26])), >(i3104[26], 0)), >(+(i3085[26], 1), 0)), java.lang.Object(ARRAY(i4[26], a30817data[26])), i3085[26], i71[26], i3104[26], java.lang.Object(java.lang.String(i3404[26])))), ≥)∧[(-1)bni_27 + (-1)Bound*bni_27] + [bni_27]i3104[26] ≥ 0∧[(-1)bso_28] ≥ 0)



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

    (10)    (i3085[26] ≥ 0∧i3104[26] + [-1] ≥ 0∧i4[26] + [-1] + [-1]i3085[26] ≥ 0∧[-1]i3404[26] ≥ 0∧i3085[26] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR10(&&(&&(&&(&&(<=(i3404[26], 0), >(i3085[26], 0)), <(i3085[26], i4[26])), >(i3104[26], 0)), >(+(i3085[26], 1), 0)), java.lang.Object(ARRAY(i4[26], a30817data[26])), i3085[26], i71[26], i3104[26], java.lang.Object(java.lang.String(i3404[26])))), ≥)∧[(-1)bni_27 + (-1)Bound*bni_27] + [bni_27]i3104[26] ≥ 0∧[(-1)bso_28] ≥ 0)



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

    (11)    (i3085[26] ≥ 0∧i3104[26] + [-1] ≥ 0∧i4[26] + [-1] + [-1]i3085[26] ≥ 0∧[-1]i3404[26] ≥ 0∧i3085[26] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR10(&&(&&(&&(&&(<=(i3404[26], 0), >(i3085[26], 0)), <(i3085[26], i4[26])), >(i3104[26], 0)), >(+(i3085[26], 1), 0)), java.lang.Object(ARRAY(i4[26], a30817data[26])), i3085[26], i71[26], i3104[26], java.lang.Object(java.lang.String(i3404[26])))), ≥)∧0 = 0∧[(-1)bni_27 + (-1)Bound*bni_27] + [bni_27]i3104[26] ≥ 0∧0 = 0∧[(-1)bso_28] ≥ 0)



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

    (12)    ([1] + i3085[26] ≥ 0∧i3104[26] + [-1] ≥ 0∧i4[26] + [-2] + [-1]i3085[26] ≥ 0∧[-1]i3404[26] ≥ 0∧i3085[26] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR10(&&(&&(&&(&&(<=(i3404[26], 0), >(i3085[26], 0)), <(i3085[26], i4[26])), >(i3104[26], 0)), >(+(i3085[26], 1), 0)), java.lang.Object(ARRAY(i4[26], a30817data[26])), i3085[26], i71[26], i3104[26], java.lang.Object(java.lang.String(i3404[26])))), ≥)∧0 = 0∧[(-1)bni_27 + (-1)Bound*bni_27] + [bni_27]i3104[26] ≥ 0∧0 = 0∧[(-1)bso_28] ≥ 0)



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

    (13)    ([1] + i3085[26] ≥ 0∧i3104[26] ≥ 0∧i4[26] + [-2] + [-1]i3085[26] ≥ 0∧[-1]i3404[26] ≥ 0∧i3085[26] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR10(&&(&&(&&(&&(<=(i3404[26], 0), >(i3085[26], 0)), <(i3085[26], i4[26])), >(i3104[26], 0)), >(+(i3085[26], 1), 0)), java.lang.Object(ARRAY(i4[26], a30817data[26])), i3085[26], i71[26], i3104[26], java.lang.Object(java.lang.String(i3404[26])))), ≥)∧0 = 0∧[(-1)Bound*bni_27] + [bni_27]i3104[26] ≥ 0∧0 = 0∧[(-1)bso_28] ≥ 0)



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

    (14)    ([1] + i3085[26] ≥ 0∧i3104[26] ≥ 0∧i4[26] ≥ 0∧[-1]i3404[26] ≥ 0∧i3085[26] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR10(&&(&&(&&(&&(<=(i3404[26], 0), >(i3085[26], 0)), <(i3085[26], i4[26])), >(i3104[26], 0)), >(+(i3085[26], 1), 0)), java.lang.Object(ARRAY(i4[26], a30817data[26])), i3085[26], i71[26], i3104[26], java.lang.Object(java.lang.String(i3404[26])))), ≥)∧0 = 0∧[(-1)Bound*bni_27] + [bni_27]i3104[26] ≥ 0∧0 = 0∧[(-1)bso_28] ≥ 0)



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

    (15)    ([1] + i3085[26] ≥ 0∧i3104[26] ≥ 0∧i4[26] ≥ 0∧i3404[26] ≥ 0∧i3085[26] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR10(&&(&&(&&(&&(<=(i3404[26], 0), >(i3085[26], 0)), <(i3085[26], i4[26])), >(i3104[26], 0)), >(+(i3085[26], 1), 0)), java.lang.Object(ARRAY(i4[26], a30817data[26])), i3085[26], i71[26], i3104[26], java.lang.Object(java.lang.String(i3404[26])))), ≥)∧0 = 0∧[(-1)Bound*bni_27] + [bni_27]i3104[26] ≥ 0∧0 = 0∧[(-1)bso_28] ≥ 0)







For Pair LOAD15508(java.lang.Object(ARRAY(i4[25], a30817data[25])), i3085[25], i71[25], i3104[25]) → LOAD15508ARR10(java.lang.Object(ARRAY(i4[25], a30817data[25])), i3085[25], i71[25], i3104[25], java.lang.Object(java.lang.String(i3404[25]))) the following chains were created:
  • We consider the chain LOAD15508(java.lang.Object(ARRAY(i4[25], a30817data[25])), i3085[25], i71[25], i3104[25]) → LOAD15508ARR10(java.lang.Object(ARRAY(i4[25], a30817data[25])), i3085[25], i71[25], i3104[25], java.lang.Object(java.lang.String(i3404[25]))) which results in the following constraint:

    (16)    (LOAD15508(java.lang.Object(ARRAY(i4[25], a30817data[25])), i3085[25], i71[25], i3104[25])≥NonInfC∧LOAD15508(java.lang.Object(ARRAY(i4[25], a30817data[25])), i3085[25], i71[25], i3104[25])≥LOAD15508ARR10(java.lang.Object(ARRAY(i4[25], a30817data[25])), i3085[25], i71[25], i3104[25], java.lang.Object(java.lang.String(i3404[25])))∧(UIncreasing(LOAD15508ARR10(java.lang.Object(ARRAY(i4[25], a30817data[25])), i3085[25], i71[25], i3104[25], java.lang.Object(java.lang.String(i3404[25])))), ≥))



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

    (17)    ((UIncreasing(LOAD15508ARR10(java.lang.Object(ARRAY(i4[25], a30817data[25])), i3085[25], i71[25], i3104[25], java.lang.Object(java.lang.String(i3404[25])))), ≥)∧[(-1)bso_30] ≥ 0)



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

    (18)    ((UIncreasing(LOAD15508ARR10(java.lang.Object(ARRAY(i4[25], a30817data[25])), i3085[25], i71[25], i3104[25], java.lang.Object(java.lang.String(i3404[25])))), ≥)∧[(-1)bso_30] ≥ 0)



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

    (19)    ((UIncreasing(LOAD15508ARR10(java.lang.Object(ARRAY(i4[25], a30817data[25])), i3085[25], i71[25], i3104[25], java.lang.Object(java.lang.String(i3404[25])))), ≥)∧[(-1)bso_30] ≥ 0)



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

    (20)    ((UIncreasing(LOAD15508ARR10(java.lang.Object(ARRAY(i4[25], a30817data[25])), i3085[25], i71[25], i3104[25], java.lang.Object(java.lang.String(i3404[25])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_30] ≥ 0)







For Pair COND_LOAD15508ARR7(TRUE, java.lang.Object(ARRAY(i4[24], a30817data[24])), i3085[24], i71[24], i3104[24], java.lang.Object(java.lang.String(i3404[24]))) → INC18057(java.lang.Object(ARRAY(i4[24], a30817data[24])), +(i3085[24], 1), i71[24], i3104[24]) the following chains were created:
  • We consider the chain COND_LOAD15508ARR7(TRUE, java.lang.Object(ARRAY(i4[24], a30817data[24])), i3085[24], i71[24], i3104[24], java.lang.Object(java.lang.String(i3404[24]))) → INC18057(java.lang.Object(ARRAY(i4[24], a30817data[24])), +(i3085[24], 1), i71[24], i3104[24]) which results in the following constraint:

    (21)    (COND_LOAD15508ARR7(TRUE, java.lang.Object(ARRAY(i4[24], a30817data[24])), i3085[24], i71[24], i3104[24], java.lang.Object(java.lang.String(i3404[24])))≥NonInfC∧COND_LOAD15508ARR7(TRUE, java.lang.Object(ARRAY(i4[24], a30817data[24])), i3085[24], i71[24], i3104[24], java.lang.Object(java.lang.String(i3404[24])))≥INC18057(java.lang.Object(ARRAY(i4[24], a30817data[24])), +(i3085[24], 1), i71[24], i3104[24])∧(UIncreasing(INC18057(java.lang.Object(ARRAY(i4[24], a30817data[24])), +(i3085[24], 1), i71[24], i3104[24])), ≥))



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

    (22)    ((UIncreasing(INC18057(java.lang.Object(ARRAY(i4[24], a30817data[24])), +(i3085[24], 1), i71[24], i3104[24])), ≥)∧[(-1)bso_32] ≥ 0)



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

    (23)    ((UIncreasing(INC18057(java.lang.Object(ARRAY(i4[24], a30817data[24])), +(i3085[24], 1), i71[24], i3104[24])), ≥)∧[(-1)bso_32] ≥ 0)



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

    (24)    ((UIncreasing(INC18057(java.lang.Object(ARRAY(i4[24], a30817data[24])), +(i3085[24], 1), i71[24], i3104[24])), ≥)∧[(-1)bso_32] ≥ 0)



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

    (25)    ((UIncreasing(INC18057(java.lang.Object(ARRAY(i4[24], a30817data[24])), +(i3085[24], 1), i71[24], i3104[24])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_32] ≥ 0)







For Pair LOAD15508ARR7(java.lang.Object(ARRAY(i4[23], a30817data[23])), i3085[23], i71[23], i3104[23], java.lang.Object(java.lang.String(i3404[23]))) → COND_LOAD15508ARR7(&&(&&(&&(&&(<=(i3404[23], 0), >(i3085[23], 0)), <(i3085[23], i4[23])), >(i3104[23], 0)), >(+(i3085[23], 1), 0)), java.lang.Object(ARRAY(i4[23], a30817data[23])), i3085[23], i71[23], i3104[23], java.lang.Object(java.lang.String(i3404[23]))) the following chains were created:
  • We consider the chain LOAD15508ARR7(java.lang.Object(ARRAY(i4[23], a30817data[23])), i3085[23], i71[23], i3104[23], java.lang.Object(java.lang.String(i3404[23]))) → COND_LOAD15508ARR7(&&(&&(&&(&&(<=(i3404[23], 0), >(i3085[23], 0)), <(i3085[23], i4[23])), >(i3104[23], 0)), >(+(i3085[23], 1), 0)), java.lang.Object(ARRAY(i4[23], a30817data[23])), i3085[23], i71[23], i3104[23], java.lang.Object(java.lang.String(i3404[23]))), COND_LOAD15508ARR7(TRUE, java.lang.Object(ARRAY(i4[24], a30817data[24])), i3085[24], i71[24], i3104[24], java.lang.Object(java.lang.String(i3404[24]))) → INC18057(java.lang.Object(ARRAY(i4[24], a30817data[24])), +(i3085[24], 1), i71[24], i3104[24]) which results in the following constraint:

    (26)    (i3085[23]=i3085[24]i3104[23]=i3104[24]i3404[23]=i3404[24]i71[23]=i71[24]i4[23]=i4[24]a30817data[23]=a30817data[24]&&(&&(&&(&&(<=(i3404[23], 0), >(i3085[23], 0)), <(i3085[23], i4[23])), >(i3104[23], 0)), >(+(i3085[23], 1), 0))=TRUELOAD15508ARR7(java.lang.Object(ARRAY(i4[23], a30817data[23])), i3085[23], i71[23], i3104[23], java.lang.Object(java.lang.String(i3404[23])))≥NonInfC∧LOAD15508ARR7(java.lang.Object(ARRAY(i4[23], a30817data[23])), i3085[23], i71[23], i3104[23], java.lang.Object(java.lang.String(i3404[23])))≥COND_LOAD15508ARR7(&&(&&(&&(&&(<=(i3404[23], 0), >(i3085[23], 0)), <(i3085[23], i4[23])), >(i3104[23], 0)), >(+(i3085[23], 1), 0)), java.lang.Object(ARRAY(i4[23], a30817data[23])), i3085[23], i71[23], i3104[23], java.lang.Object(java.lang.String(i3404[23])))∧(UIncreasing(COND_LOAD15508ARR7(&&(&&(&&(&&(<=(i3404[23], 0), >(i3085[23], 0)), <(i3085[23], i4[23])), >(i3104[23], 0)), >(+(i3085[23], 1), 0)), java.lang.Object(ARRAY(i4[23], a30817data[23])), i3085[23], i71[23], i3104[23], java.lang.Object(java.lang.String(i3404[23])))), ≥))



    We simplified constraint (26) using rules (IV), (IDP_BOOLEAN) which results in the following new constraint:

    (27)    (>(+(i3085[23], 1), 0)=TRUE>(i3104[23], 0)=TRUE<(i3085[23], i4[23])=TRUE<=(i3404[23], 0)=TRUE>(i3085[23], 0)=TRUELOAD15508ARR7(java.lang.Object(ARRAY(i4[23], a30817data[23])), i3085[23], i71[23], i3104[23], java.lang.Object(java.lang.String(i3404[23])))≥NonInfC∧LOAD15508ARR7(java.lang.Object(ARRAY(i4[23], a30817data[23])), i3085[23], i71[23], i3104[23], java.lang.Object(java.lang.String(i3404[23])))≥COND_LOAD15508ARR7(&&(&&(&&(&&(<=(i3404[23], 0), >(i3085[23], 0)), <(i3085[23], i4[23])), >(i3104[23], 0)), >(+(i3085[23], 1), 0)), java.lang.Object(ARRAY(i4[23], a30817data[23])), i3085[23], i71[23], i3104[23], java.lang.Object(java.lang.String(i3404[23])))∧(UIncreasing(COND_LOAD15508ARR7(&&(&&(&&(&&(<=(i3404[23], 0), >(i3085[23], 0)), <(i3085[23], i4[23])), >(i3104[23], 0)), >(+(i3085[23], 1), 0)), java.lang.Object(ARRAY(i4[23], a30817data[23])), i3085[23], i71[23], i3104[23], java.lang.Object(java.lang.String(i3404[23])))), ≥))



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

    (28)    (i3085[23] ≥ 0∧i3104[23] + [-1] ≥ 0∧i4[23] + [-1] + [-1]i3085[23] ≥ 0∧[-1]i3404[23] ≥ 0∧i3085[23] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR7(&&(&&(&&(&&(<=(i3404[23], 0), >(i3085[23], 0)), <(i3085[23], i4[23])), >(i3104[23], 0)), >(+(i3085[23], 1), 0)), java.lang.Object(ARRAY(i4[23], a30817data[23])), i3085[23], i71[23], i3104[23], java.lang.Object(java.lang.String(i3404[23])))), ≥)∧[(-1)bni_33 + (-1)Bound*bni_33] + [bni_33]i3104[23] ≥ 0∧[(-1)bso_34] ≥ 0)



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

    (29)    (i3085[23] ≥ 0∧i3104[23] + [-1] ≥ 0∧i4[23] + [-1] + [-1]i3085[23] ≥ 0∧[-1]i3404[23] ≥ 0∧i3085[23] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR7(&&(&&(&&(&&(<=(i3404[23], 0), >(i3085[23], 0)), <(i3085[23], i4[23])), >(i3104[23], 0)), >(+(i3085[23], 1), 0)), java.lang.Object(ARRAY(i4[23], a30817data[23])), i3085[23], i71[23], i3104[23], java.lang.Object(java.lang.String(i3404[23])))), ≥)∧[(-1)bni_33 + (-1)Bound*bni_33] + [bni_33]i3104[23] ≥ 0∧[(-1)bso_34] ≥ 0)



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

    (30)    (i3085[23] ≥ 0∧i3104[23] + [-1] ≥ 0∧i4[23] + [-1] + [-1]i3085[23] ≥ 0∧[-1]i3404[23] ≥ 0∧i3085[23] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR7(&&(&&(&&(&&(<=(i3404[23], 0), >(i3085[23], 0)), <(i3085[23], i4[23])), >(i3104[23], 0)), >(+(i3085[23], 1), 0)), java.lang.Object(ARRAY(i4[23], a30817data[23])), i3085[23], i71[23], i3104[23], java.lang.Object(java.lang.String(i3404[23])))), ≥)∧[(-1)bni_33 + (-1)Bound*bni_33] + [bni_33]i3104[23] ≥ 0∧[(-1)bso_34] ≥ 0)



    We simplified constraint (30) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (31)    (i3085[23] ≥ 0∧i3104[23] + [-1] ≥ 0∧i4[23] + [-1] + [-1]i3085[23] ≥ 0∧[-1]i3404[23] ≥ 0∧i3085[23] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR7(&&(&&(&&(&&(<=(i3404[23], 0), >(i3085[23], 0)), <(i3085[23], i4[23])), >(i3104[23], 0)), >(+(i3085[23], 1), 0)), java.lang.Object(ARRAY(i4[23], a30817data[23])), i3085[23], i71[23], i3104[23], java.lang.Object(java.lang.String(i3404[23])))), ≥)∧0 = 0∧[(-1)bni_33 + (-1)Bound*bni_33] + [bni_33]i3104[23] ≥ 0∧0 = 0∧[(-1)bso_34] ≥ 0)



    We simplified constraint (31) using rule (IDP_SMT_SPLIT) which results in the following new constraint:

    (32)    ([1] + i3085[23] ≥ 0∧i3104[23] + [-1] ≥ 0∧i4[23] + [-2] + [-1]i3085[23] ≥ 0∧[-1]i3404[23] ≥ 0∧i3085[23] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR7(&&(&&(&&(&&(<=(i3404[23], 0), >(i3085[23], 0)), <(i3085[23], i4[23])), >(i3104[23], 0)), >(+(i3085[23], 1), 0)), java.lang.Object(ARRAY(i4[23], a30817data[23])), i3085[23], i71[23], i3104[23], java.lang.Object(java.lang.String(i3404[23])))), ≥)∧0 = 0∧[(-1)bni_33 + (-1)Bound*bni_33] + [bni_33]i3104[23] ≥ 0∧0 = 0∧[(-1)bso_34] ≥ 0)



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

    (33)    ([1] + i3085[23] ≥ 0∧i3104[23] ≥ 0∧i4[23] + [-2] + [-1]i3085[23] ≥ 0∧[-1]i3404[23] ≥ 0∧i3085[23] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR7(&&(&&(&&(&&(<=(i3404[23], 0), >(i3085[23], 0)), <(i3085[23], i4[23])), >(i3104[23], 0)), >(+(i3085[23], 1), 0)), java.lang.Object(ARRAY(i4[23], a30817data[23])), i3085[23], i71[23], i3104[23], java.lang.Object(java.lang.String(i3404[23])))), ≥)∧0 = 0∧[(-1)Bound*bni_33] + [bni_33]i3104[23] ≥ 0∧0 = 0∧[(-1)bso_34] ≥ 0)



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

    (34)    ([1] + i3085[23] ≥ 0∧i3104[23] ≥ 0∧i4[23] ≥ 0∧[-1]i3404[23] ≥ 0∧i3085[23] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR7(&&(&&(&&(&&(<=(i3404[23], 0), >(i3085[23], 0)), <(i3085[23], i4[23])), >(i3104[23], 0)), >(+(i3085[23], 1), 0)), java.lang.Object(ARRAY(i4[23], a30817data[23])), i3085[23], i71[23], i3104[23], java.lang.Object(java.lang.String(i3404[23])))), ≥)∧0 = 0∧[(-1)Bound*bni_33] + [bni_33]i3104[23] ≥ 0∧0 = 0∧[(-1)bso_34] ≥ 0)



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

    (35)    ([1] + i3085[23] ≥ 0∧i3104[23] ≥ 0∧i4[23] ≥ 0∧i3404[23] ≥ 0∧i3085[23] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR7(&&(&&(&&(&&(<=(i3404[23], 0), >(i3085[23], 0)), <(i3085[23], i4[23])), >(i3104[23], 0)), >(+(i3085[23], 1), 0)), java.lang.Object(ARRAY(i4[23], a30817data[23])), i3085[23], i71[23], i3104[23], java.lang.Object(java.lang.String(i3404[23])))), ≥)∧0 = 0∧[(-1)Bound*bni_33] + [bni_33]i3104[23] ≥ 0∧0 = 0∧[(-1)bso_34] ≥ 0)







For Pair LOAD15508(java.lang.Object(ARRAY(i4[22], a30817data[22])), i3085[22], i71[22], i3104[22]) → LOAD15508ARR7(java.lang.Object(ARRAY(i4[22], a30817data[22])), i3085[22], i71[22], i3104[22], java.lang.Object(java.lang.String(i3404[22]))) the following chains were created:
  • We consider the chain LOAD15508(java.lang.Object(ARRAY(i4[22], a30817data[22])), i3085[22], i71[22], i3104[22]) → LOAD15508ARR7(java.lang.Object(ARRAY(i4[22], a30817data[22])), i3085[22], i71[22], i3104[22], java.lang.Object(java.lang.String(i3404[22]))) which results in the following constraint:

    (36)    (LOAD15508(java.lang.Object(ARRAY(i4[22], a30817data[22])), i3085[22], i71[22], i3104[22])≥NonInfC∧LOAD15508(java.lang.Object(ARRAY(i4[22], a30817data[22])), i3085[22], i71[22], i3104[22])≥LOAD15508ARR7(java.lang.Object(ARRAY(i4[22], a30817data[22])), i3085[22], i71[22], i3104[22], java.lang.Object(java.lang.String(i3404[22])))∧(UIncreasing(LOAD15508ARR7(java.lang.Object(ARRAY(i4[22], a30817data[22])), i3085[22], i71[22], i3104[22], java.lang.Object(java.lang.String(i3404[22])))), ≥))



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

    (37)    ((UIncreasing(LOAD15508ARR7(java.lang.Object(ARRAY(i4[22], a30817data[22])), i3085[22], i71[22], i3104[22], java.lang.Object(java.lang.String(i3404[22])))), ≥)∧[(-1)bso_36] ≥ 0)



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

    (38)    ((UIncreasing(LOAD15508ARR7(java.lang.Object(ARRAY(i4[22], a30817data[22])), i3085[22], i71[22], i3104[22], java.lang.Object(java.lang.String(i3404[22])))), ≥)∧[(-1)bso_36] ≥ 0)



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

    (39)    ((UIncreasing(LOAD15508ARR7(java.lang.Object(ARRAY(i4[22], a30817data[22])), i3085[22], i71[22], i3104[22], java.lang.Object(java.lang.String(i3404[22])))), ≥)∧[(-1)bso_36] ≥ 0)



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

    (40)    ((UIncreasing(LOAD15508ARR7(java.lang.Object(ARRAY(i4[22], a30817data[22])), i3085[22], i71[22], i3104[22], java.lang.Object(java.lang.String(i3404[22])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_36] ≥ 0)







For Pair COND_LOAD15508ARR6(TRUE, java.lang.Object(ARRAY(i4[21], a30817data[21])), i3085[21], i71[21], i3104[21], java.lang.Object(java.lang.String(i3403[21]))) → INC18057(java.lang.Object(ARRAY(i4[21], a30817data[21])), +(i3085[21], 1), i71[21], i3104[21]) the following chains were created:
  • We consider the chain COND_LOAD15508ARR6(TRUE, java.lang.Object(ARRAY(i4[21], a30817data[21])), i3085[21], i71[21], i3104[21], java.lang.Object(java.lang.String(i3403[21]))) → INC18057(java.lang.Object(ARRAY(i4[21], a30817data[21])), +(i3085[21], 1), i71[21], i3104[21]) which results in the following constraint:

    (41)    (COND_LOAD15508ARR6(TRUE, java.lang.Object(ARRAY(i4[21], a30817data[21])), i3085[21], i71[21], i3104[21], java.lang.Object(java.lang.String(i3403[21])))≥NonInfC∧COND_LOAD15508ARR6(TRUE, java.lang.Object(ARRAY(i4[21], a30817data[21])), i3085[21], i71[21], i3104[21], java.lang.Object(java.lang.String(i3403[21])))≥INC18057(java.lang.Object(ARRAY(i4[21], a30817data[21])), +(i3085[21], 1), i71[21], i3104[21])∧(UIncreasing(INC18057(java.lang.Object(ARRAY(i4[21], a30817data[21])), +(i3085[21], 1), i71[21], i3104[21])), ≥))



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

    (42)    ((UIncreasing(INC18057(java.lang.Object(ARRAY(i4[21], a30817data[21])), +(i3085[21], 1), i71[21], i3104[21])), ≥)∧[(-1)bso_38] ≥ 0)



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

    (43)    ((UIncreasing(INC18057(java.lang.Object(ARRAY(i4[21], a30817data[21])), +(i3085[21], 1), i71[21], i3104[21])), ≥)∧[(-1)bso_38] ≥ 0)



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

    (44)    ((UIncreasing(INC18057(java.lang.Object(ARRAY(i4[21], a30817data[21])), +(i3085[21], 1), i71[21], i3104[21])), ≥)∧[(-1)bso_38] ≥ 0)



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

    (45)    ((UIncreasing(INC18057(java.lang.Object(ARRAY(i4[21], a30817data[21])), +(i3085[21], 1), i71[21], i3104[21])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_38] ≥ 0)







For Pair LOAD15508ARR6(java.lang.Object(ARRAY(i4[20], a30817data[20])), i3085[20], i71[20], i3104[20], java.lang.Object(java.lang.String(i3403[20]))) → COND_LOAD15508ARR6(&&(&&(&&(&&(>(i3403[20], 0), >(i3085[20], 0)), <(i3085[20], i4[20])), >(i3104[20], 0)), >(+(i3085[20], 1), 0)), java.lang.Object(ARRAY(i4[20], a30817data[20])), i3085[20], i71[20], i3104[20], java.lang.Object(java.lang.String(i3403[20]))) the following chains were created:
  • We consider the chain LOAD15508ARR6(java.lang.Object(ARRAY(i4[20], a30817data[20])), i3085[20], i71[20], i3104[20], java.lang.Object(java.lang.String(i3403[20]))) → COND_LOAD15508ARR6(&&(&&(&&(&&(>(i3403[20], 0), >(i3085[20], 0)), <(i3085[20], i4[20])), >(i3104[20], 0)), >(+(i3085[20], 1), 0)), java.lang.Object(ARRAY(i4[20], a30817data[20])), i3085[20], i71[20], i3104[20], java.lang.Object(java.lang.String(i3403[20]))), COND_LOAD15508ARR6(TRUE, java.lang.Object(ARRAY(i4[21], a30817data[21])), i3085[21], i71[21], i3104[21], java.lang.Object(java.lang.String(i3403[21]))) → INC18057(java.lang.Object(ARRAY(i4[21], a30817data[21])), +(i3085[21], 1), i71[21], i3104[21]) which results in the following constraint:

    (46)    (&&(&&(&&(&&(>(i3403[20], 0), >(i3085[20], 0)), <(i3085[20], i4[20])), >(i3104[20], 0)), >(+(i3085[20], 1), 0))=TRUEi3104[20]=i3104[21]i71[20]=i71[21]i3403[20]=i3403[21]i4[20]=i4[21]a30817data[20]=a30817data[21]i3085[20]=i3085[21]LOAD15508ARR6(java.lang.Object(ARRAY(i4[20], a30817data[20])), i3085[20], i71[20], i3104[20], java.lang.Object(java.lang.String(i3403[20])))≥NonInfC∧LOAD15508ARR6(java.lang.Object(ARRAY(i4[20], a30817data[20])), i3085[20], i71[20], i3104[20], java.lang.Object(java.lang.String(i3403[20])))≥COND_LOAD15508ARR6(&&(&&(&&(&&(>(i3403[20], 0), >(i3085[20], 0)), <(i3085[20], i4[20])), >(i3104[20], 0)), >(+(i3085[20], 1), 0)), java.lang.Object(ARRAY(i4[20], a30817data[20])), i3085[20], i71[20], i3104[20], java.lang.Object(java.lang.String(i3403[20])))∧(UIncreasing(COND_LOAD15508ARR6(&&(&&(&&(&&(>(i3403[20], 0), >(i3085[20], 0)), <(i3085[20], i4[20])), >(i3104[20], 0)), >(+(i3085[20], 1), 0)), java.lang.Object(ARRAY(i4[20], a30817data[20])), i3085[20], i71[20], i3104[20], java.lang.Object(java.lang.String(i3403[20])))), ≥))



    We simplified constraint (46) using rules (IV), (IDP_BOOLEAN) which results in the following new constraint:

    (47)    (>(+(i3085[20], 1), 0)=TRUE>(i3104[20], 0)=TRUE<(i3085[20], i4[20])=TRUE>(i3403[20], 0)=TRUE>(i3085[20], 0)=TRUELOAD15508ARR6(java.lang.Object(ARRAY(i4[20], a30817data[20])), i3085[20], i71[20], i3104[20], java.lang.Object(java.lang.String(i3403[20])))≥NonInfC∧LOAD15508ARR6(java.lang.Object(ARRAY(i4[20], a30817data[20])), i3085[20], i71[20], i3104[20], java.lang.Object(java.lang.String(i3403[20])))≥COND_LOAD15508ARR6(&&(&&(&&(&&(>(i3403[20], 0), >(i3085[20], 0)), <(i3085[20], i4[20])), >(i3104[20], 0)), >(+(i3085[20], 1), 0)), java.lang.Object(ARRAY(i4[20], a30817data[20])), i3085[20], i71[20], i3104[20], java.lang.Object(java.lang.String(i3403[20])))∧(UIncreasing(COND_LOAD15508ARR6(&&(&&(&&(&&(>(i3403[20], 0), >(i3085[20], 0)), <(i3085[20], i4[20])), >(i3104[20], 0)), >(+(i3085[20], 1), 0)), java.lang.Object(ARRAY(i4[20], a30817data[20])), i3085[20], i71[20], i3104[20], java.lang.Object(java.lang.String(i3403[20])))), ≥))



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

    (48)    (i3085[20] ≥ 0∧i3104[20] + [-1] ≥ 0∧i4[20] + [-1] + [-1]i3085[20] ≥ 0∧i3403[20] + [-1] ≥ 0∧i3085[20] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR6(&&(&&(&&(&&(>(i3403[20], 0), >(i3085[20], 0)), <(i3085[20], i4[20])), >(i3104[20], 0)), >(+(i3085[20], 1), 0)), java.lang.Object(ARRAY(i4[20], a30817data[20])), i3085[20], i71[20], i3104[20], java.lang.Object(java.lang.String(i3403[20])))), ≥)∧[(-1)bni_39 + (-1)Bound*bni_39] + [bni_39]i3104[20] ≥ 0∧[(-1)bso_40] ≥ 0)



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

    (49)    (i3085[20] ≥ 0∧i3104[20] + [-1] ≥ 0∧i4[20] + [-1] + [-1]i3085[20] ≥ 0∧i3403[20] + [-1] ≥ 0∧i3085[20] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR6(&&(&&(&&(&&(>(i3403[20], 0), >(i3085[20], 0)), <(i3085[20], i4[20])), >(i3104[20], 0)), >(+(i3085[20], 1), 0)), java.lang.Object(ARRAY(i4[20], a30817data[20])), i3085[20], i71[20], i3104[20], java.lang.Object(java.lang.String(i3403[20])))), ≥)∧[(-1)bni_39 + (-1)Bound*bni_39] + [bni_39]i3104[20] ≥ 0∧[(-1)bso_40] ≥ 0)



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

    (50)    (i3085[20] ≥ 0∧i3104[20] + [-1] ≥ 0∧i4[20] + [-1] + [-1]i3085[20] ≥ 0∧i3403[20] + [-1] ≥ 0∧i3085[20] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR6(&&(&&(&&(&&(>(i3403[20], 0), >(i3085[20], 0)), <(i3085[20], i4[20])), >(i3104[20], 0)), >(+(i3085[20], 1), 0)), java.lang.Object(ARRAY(i4[20], a30817data[20])), i3085[20], i71[20], i3104[20], java.lang.Object(java.lang.String(i3403[20])))), ≥)∧[(-1)bni_39 + (-1)Bound*bni_39] + [bni_39]i3104[20] ≥ 0∧[(-1)bso_40] ≥ 0)



    We simplified constraint (50) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (51)    (i3085[20] ≥ 0∧i3104[20] + [-1] ≥ 0∧i4[20] + [-1] + [-1]i3085[20] ≥ 0∧i3403[20] + [-1] ≥ 0∧i3085[20] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR6(&&(&&(&&(&&(>(i3403[20], 0), >(i3085[20], 0)), <(i3085[20], i4[20])), >(i3104[20], 0)), >(+(i3085[20], 1), 0)), java.lang.Object(ARRAY(i4[20], a30817data[20])), i3085[20], i71[20], i3104[20], java.lang.Object(java.lang.String(i3403[20])))), ≥)∧0 = 0∧[(-1)bni_39 + (-1)Bound*bni_39] + [bni_39]i3104[20] ≥ 0∧0 = 0∧[(-1)bso_40] ≥ 0)



    We simplified constraint (51) using rule (IDP_SMT_SPLIT) which results in the following new constraint:

    (52)    ([1] + i3085[20] ≥ 0∧i3104[20] + [-1] ≥ 0∧i4[20] + [-2] + [-1]i3085[20] ≥ 0∧i3403[20] + [-1] ≥ 0∧i3085[20] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR6(&&(&&(&&(&&(>(i3403[20], 0), >(i3085[20], 0)), <(i3085[20], i4[20])), >(i3104[20], 0)), >(+(i3085[20], 1), 0)), java.lang.Object(ARRAY(i4[20], a30817data[20])), i3085[20], i71[20], i3104[20], java.lang.Object(java.lang.String(i3403[20])))), ≥)∧0 = 0∧[(-1)bni_39 + (-1)Bound*bni_39] + [bni_39]i3104[20] ≥ 0∧0 = 0∧[(-1)bso_40] ≥ 0)



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

    (53)    ([1] + i3085[20] ≥ 0∧i3104[20] ≥ 0∧i4[20] + [-2] + [-1]i3085[20] ≥ 0∧i3403[20] + [-1] ≥ 0∧i3085[20] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR6(&&(&&(&&(&&(>(i3403[20], 0), >(i3085[20], 0)), <(i3085[20], i4[20])), >(i3104[20], 0)), >(+(i3085[20], 1), 0)), java.lang.Object(ARRAY(i4[20], a30817data[20])), i3085[20], i71[20], i3104[20], java.lang.Object(java.lang.String(i3403[20])))), ≥)∧0 = 0∧[(-1)Bound*bni_39] + [bni_39]i3104[20] ≥ 0∧0 = 0∧[(-1)bso_40] ≥ 0)



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

    (54)    ([1] + i3085[20] ≥ 0∧i3104[20] ≥ 0∧i4[20] ≥ 0∧i3403[20] + [-1] ≥ 0∧i3085[20] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR6(&&(&&(&&(&&(>(i3403[20], 0), >(i3085[20], 0)), <(i3085[20], i4[20])), >(i3104[20], 0)), >(+(i3085[20], 1), 0)), java.lang.Object(ARRAY(i4[20], a30817data[20])), i3085[20], i71[20], i3104[20], java.lang.Object(java.lang.String(i3403[20])))), ≥)∧0 = 0∧[(-1)Bound*bni_39] + [bni_39]i3104[20] ≥ 0∧0 = 0∧[(-1)bso_40] ≥ 0)



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

    (55)    ([1] + i3085[20] ≥ 0∧i3104[20] ≥ 0∧i4[20] ≥ 0∧i3403[20] ≥ 0∧i3085[20] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR6(&&(&&(&&(&&(>(i3403[20], 0), >(i3085[20], 0)), <(i3085[20], i4[20])), >(i3104[20], 0)), >(+(i3085[20], 1), 0)), java.lang.Object(ARRAY(i4[20], a30817data[20])), i3085[20], i71[20], i3104[20], java.lang.Object(java.lang.String(i3403[20])))), ≥)∧0 = 0∧[(-1)Bound*bni_39] + [bni_39]i3104[20] ≥ 0∧0 = 0∧[(-1)bso_40] ≥ 0)







For Pair LOAD15508(java.lang.Object(ARRAY(i4[19], a30817data[19])), i3085[19], i71[19], i3104[19]) → LOAD15508ARR6(java.lang.Object(ARRAY(i4[19], a30817data[19])), i3085[19], i71[19], i3104[19], java.lang.Object(java.lang.String(i3403[19]))) the following chains were created:
  • We consider the chain LOAD15508(java.lang.Object(ARRAY(i4[19], a30817data[19])), i3085[19], i71[19], i3104[19]) → LOAD15508ARR6(java.lang.Object(ARRAY(i4[19], a30817data[19])), i3085[19], i71[19], i3104[19], java.lang.Object(java.lang.String(i3403[19]))) which results in the following constraint:

    (56)    (LOAD15508(java.lang.Object(ARRAY(i4[19], a30817data[19])), i3085[19], i71[19], i3104[19])≥NonInfC∧LOAD15508(java.lang.Object(ARRAY(i4[19], a30817data[19])), i3085[19], i71[19], i3104[19])≥LOAD15508ARR6(java.lang.Object(ARRAY(i4[19], a30817data[19])), i3085[19], i71[19], i3104[19], java.lang.Object(java.lang.String(i3403[19])))∧(UIncreasing(LOAD15508ARR6(java.lang.Object(ARRAY(i4[19], a30817data[19])), i3085[19], i71[19], i3104[19], java.lang.Object(java.lang.String(i3403[19])))), ≥))



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

    (57)    ((UIncreasing(LOAD15508ARR6(java.lang.Object(ARRAY(i4[19], a30817data[19])), i3085[19], i71[19], i3104[19], java.lang.Object(java.lang.String(i3403[19])))), ≥)∧[(-1)bso_42] ≥ 0)



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

    (58)    ((UIncreasing(LOAD15508ARR6(java.lang.Object(ARRAY(i4[19], a30817data[19])), i3085[19], i71[19], i3104[19], java.lang.Object(java.lang.String(i3403[19])))), ≥)∧[(-1)bso_42] ≥ 0)



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

    (59)    ((UIncreasing(LOAD15508ARR6(java.lang.Object(ARRAY(i4[19], a30817data[19])), i3085[19], i71[19], i3104[19], java.lang.Object(java.lang.String(i3403[19])))), ≥)∧[(-1)bso_42] ≥ 0)



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

    (60)    ((UIncreasing(LOAD15508ARR6(java.lang.Object(ARRAY(i4[19], a30817data[19])), i3085[19], i71[19], i3104[19], java.lang.Object(java.lang.String(i3403[19])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_42] ≥ 0)







For Pair INC18057(java.lang.Object(ARRAY(i4[8], a30817data[8])), i3158[8], i71[8], i3104[8]) → LOAD15508(java.lang.Object(ARRAY(i4[8], a30817data[8])), i3158[8], i71[8], +(i3104[8], -1)) the following chains were created:
  • We consider the chain INC18057(java.lang.Object(ARRAY(i4[8], a30817data[8])), i3158[8], i71[8], i3104[8]) → LOAD15508(java.lang.Object(ARRAY(i4[8], a30817data[8])), i3158[8], i71[8], +(i3104[8], -1)) which results in the following constraint:

    (61)    (INC18057(java.lang.Object(ARRAY(i4[8], a30817data[8])), i3158[8], i71[8], i3104[8])≥NonInfC∧INC18057(java.lang.Object(ARRAY(i4[8], a30817data[8])), i3158[8], i71[8], i3104[8])≥LOAD15508(java.lang.Object(ARRAY(i4[8], a30817data[8])), i3158[8], i71[8], +(i3104[8], -1))∧(UIncreasing(LOAD15508(java.lang.Object(ARRAY(i4[8], a30817data[8])), i3158[8], i71[8], +(i3104[8], -1))), ≥))



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

    (62)    ((UIncreasing(LOAD15508(java.lang.Object(ARRAY(i4[8], a30817data[8])), i3158[8], i71[8], +(i3104[8], -1))), ≥)∧[1 + (-1)bso_44] ≥ 0)



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

    (63)    ((UIncreasing(LOAD15508(java.lang.Object(ARRAY(i4[8], a30817data[8])), i3158[8], i71[8], +(i3104[8], -1))), ≥)∧[1 + (-1)bso_44] ≥ 0)



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

    (64)    ((UIncreasing(LOAD15508(java.lang.Object(ARRAY(i4[8], a30817data[8])), i3158[8], i71[8], +(i3104[8], -1))), ≥)∧[1 + (-1)bso_44] ≥ 0)



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

    (65)    ((UIncreasing(LOAD15508(java.lang.Object(ARRAY(i4[8], a30817data[8])), i3158[8], i71[8], +(i3104[8], -1))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_44] ≥ 0)







For Pair JMP17958'(java.lang.Object(ARRAY(i4[18], a30817data[18])), i3158[18], i71[18], i3104[18]) → INC18057(java.lang.Object(ARRAY(i4[18], a30817data[18])), i3158[18], i71[18], i3104[18]) the following chains were created:
  • We consider the chain JMP17958'(java.lang.Object(ARRAY(i4[18], a30817data[18])), i3158[18], i71[18], i3104[18]) → INC18057(java.lang.Object(ARRAY(i4[18], a30817data[18])), i3158[18], i71[18], i3104[18]), INC18057(java.lang.Object(ARRAY(i4[8], a30817data[8])), i3158[8], i71[8], i3104[8]) → LOAD15508(java.lang.Object(ARRAY(i4[8], a30817data[8])), i3158[8], i71[8], +(i3104[8], -1)) which results in the following constraint:

    (66)    (i4[18]=i4[8]a30817data[18]=a30817data[8]i71[18]=i71[8]i3104[18]=i3104[8]i3158[18]=i3158[8]JMP17958'(java.lang.Object(ARRAY(i4[18], a30817data[18])), i3158[18], i71[18], i3104[18])≥NonInfC∧JMP17958'(java.lang.Object(ARRAY(i4[18], a30817data[18])), i3158[18], i71[18], i3104[18])≥INC18057(java.lang.Object(ARRAY(i4[18], a30817data[18])), i3158[18], i71[18], i3104[18])∧(UIncreasing(INC18057(java.lang.Object(ARRAY(i4[18], a30817data[18])), i3158[18], i71[18], i3104[18])), ≥))



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

    (67)    (JMP17958'(java.lang.Object(ARRAY(i4[18], a30817data[18])), i3158[18], i71[18], i3104[18])≥NonInfC∧JMP17958'(java.lang.Object(ARRAY(i4[18], a30817data[18])), i3158[18], i71[18], i3104[18])≥INC18057(java.lang.Object(ARRAY(i4[18], a30817data[18])), i3158[18], i71[18], i3104[18])∧(UIncreasing(INC18057(java.lang.Object(ARRAY(i4[18], a30817data[18])), i3158[18], i71[18], i3104[18])), ≥))



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

    (68)    ((UIncreasing(INC18057(java.lang.Object(ARRAY(i4[18], a30817data[18])), i3158[18], i71[18], i3104[18])), ≥)∧[(-1)bso_46] ≥ 0)



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

    (69)    ((UIncreasing(INC18057(java.lang.Object(ARRAY(i4[18], a30817data[18])), i3158[18], i71[18], i3104[18])), ≥)∧[(-1)bso_46] ≥ 0)



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

    (70)    ((UIncreasing(INC18057(java.lang.Object(ARRAY(i4[18], a30817data[18])), i3158[18], i71[18], i3104[18])), ≥)∧[(-1)bso_46] ≥ 0)



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

    (71)    ((UIncreasing(INC18057(java.lang.Object(ARRAY(i4[18], a30817data[18])), i3158[18], i71[18], i3104[18])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_46] ≥ 0)







For Pair COND_LOAD15508ARR5(TRUE, java.lang.Object(ARRAY(i4[17], a30817data[17])), i3085[17], i71[17], i3104[17], java.lang.Object(java.lang.String(i3403[17]))) → JMP17958'(java.lang.Object(ARRAY(i4[17], a30817data[17])), +(i3085[17], 1), i71[17], i3104[17]) the following chains were created:
  • We consider the chain COND_LOAD15508ARR5(TRUE, java.lang.Object(ARRAY(i4[17], a30817data[17])), i3085[17], i71[17], i3104[17], java.lang.Object(java.lang.String(i3403[17]))) → JMP17958'(java.lang.Object(ARRAY(i4[17], a30817data[17])), +(i3085[17], 1), i71[17], i3104[17]) which results in the following constraint:

    (72)    (COND_LOAD15508ARR5(TRUE, java.lang.Object(ARRAY(i4[17], a30817data[17])), i3085[17], i71[17], i3104[17], java.lang.Object(java.lang.String(i3403[17])))≥NonInfC∧COND_LOAD15508ARR5(TRUE, java.lang.Object(ARRAY(i4[17], a30817data[17])), i3085[17], i71[17], i3104[17], java.lang.Object(java.lang.String(i3403[17])))≥JMP17958'(java.lang.Object(ARRAY(i4[17], a30817data[17])), +(i3085[17], 1), i71[17], i3104[17])∧(UIncreasing(JMP17958'(java.lang.Object(ARRAY(i4[17], a30817data[17])), +(i3085[17], 1), i71[17], i3104[17])), ≥))



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

    (73)    ((UIncreasing(JMP17958'(java.lang.Object(ARRAY(i4[17], a30817data[17])), +(i3085[17], 1), i71[17], i3104[17])), ≥)∧[(-1)bso_48] ≥ 0)



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

    (74)    ((UIncreasing(JMP17958'(java.lang.Object(ARRAY(i4[17], a30817data[17])), +(i3085[17], 1), i71[17], i3104[17])), ≥)∧[(-1)bso_48] ≥ 0)



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

    (75)    ((UIncreasing(JMP17958'(java.lang.Object(ARRAY(i4[17], a30817data[17])), +(i3085[17], 1), i71[17], i3104[17])), ≥)∧[(-1)bso_48] ≥ 0)



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

    (76)    ((UIncreasing(JMP17958'(java.lang.Object(ARRAY(i4[17], a30817data[17])), +(i3085[17], 1), i71[17], i3104[17])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_48] ≥ 0)







For Pair LOAD15508ARR5(java.lang.Object(ARRAY(i4[16], a30817data[16])), i3085[16], i71[16], i3104[16], java.lang.Object(java.lang.String(i3403[16]))) → COND_LOAD15508ARR5(&&(&&(&&(&&(>(i3403[16], 0), >(i3085[16], 0)), <(i3085[16], i4[16])), >(i3104[16], 0)), >(+(i3085[16], 1), 0)), java.lang.Object(ARRAY(i4[16], a30817data[16])), i3085[16], i71[16], i3104[16], java.lang.Object(java.lang.String(i3403[16]))) the following chains were created:
  • We consider the chain LOAD15508ARR5(java.lang.Object(ARRAY(i4[16], a30817data[16])), i3085[16], i71[16], i3104[16], java.lang.Object(java.lang.String(i3403[16]))) → COND_LOAD15508ARR5(&&(&&(&&(&&(>(i3403[16], 0), >(i3085[16], 0)), <(i3085[16], i4[16])), >(i3104[16], 0)), >(+(i3085[16], 1), 0)), java.lang.Object(ARRAY(i4[16], a30817data[16])), i3085[16], i71[16], i3104[16], java.lang.Object(java.lang.String(i3403[16]))), COND_LOAD15508ARR5(TRUE, java.lang.Object(ARRAY(i4[17], a30817data[17])), i3085[17], i71[17], i3104[17], java.lang.Object(java.lang.String(i3403[17]))) → JMP17958'(java.lang.Object(ARRAY(i4[17], a30817data[17])), +(i3085[17], 1), i71[17], i3104[17]) which results in the following constraint:

    (77)    (i3104[16]=i3104[17]i4[16]=i4[17]a30817data[16]=a30817data[17]i3403[16]=i3403[17]i3085[16]=i3085[17]&&(&&(&&(&&(>(i3403[16], 0), >(i3085[16], 0)), <(i3085[16], i4[16])), >(i3104[16], 0)), >(+(i3085[16], 1), 0))=TRUEi71[16]=i71[17]LOAD15508ARR5(java.lang.Object(ARRAY(i4[16], a30817data[16])), i3085[16], i71[16], i3104[16], java.lang.Object(java.lang.String(i3403[16])))≥NonInfC∧LOAD15508ARR5(java.lang.Object(ARRAY(i4[16], a30817data[16])), i3085[16], i71[16], i3104[16], java.lang.Object(java.lang.String(i3403[16])))≥COND_LOAD15508ARR5(&&(&&(&&(&&(>(i3403[16], 0), >(i3085[16], 0)), <(i3085[16], i4[16])), >(i3104[16], 0)), >(+(i3085[16], 1), 0)), java.lang.Object(ARRAY(i4[16], a30817data[16])), i3085[16], i71[16], i3104[16], java.lang.Object(java.lang.String(i3403[16])))∧(UIncreasing(COND_LOAD15508ARR5(&&(&&(&&(&&(>(i3403[16], 0), >(i3085[16], 0)), <(i3085[16], i4[16])), >(i3104[16], 0)), >(+(i3085[16], 1), 0)), java.lang.Object(ARRAY(i4[16], a30817data[16])), i3085[16], i71[16], i3104[16], java.lang.Object(java.lang.String(i3403[16])))), ≥))



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

    (78)    (>(+(i3085[16], 1), 0)=TRUE>(i3104[16], 0)=TRUE<(i3085[16], i4[16])=TRUE>(i3403[16], 0)=TRUE>(i3085[16], 0)=TRUELOAD15508ARR5(java.lang.Object(ARRAY(i4[16], a30817data[16])), i3085[16], i71[16], i3104[16], java.lang.Object(java.lang.String(i3403[16])))≥NonInfC∧LOAD15508ARR5(java.lang.Object(ARRAY(i4[16], a30817data[16])), i3085[16], i71[16], i3104[16], java.lang.Object(java.lang.String(i3403[16])))≥COND_LOAD15508ARR5(&&(&&(&&(&&(>(i3403[16], 0), >(i3085[16], 0)), <(i3085[16], i4[16])), >(i3104[16], 0)), >(+(i3085[16], 1), 0)), java.lang.Object(ARRAY(i4[16], a30817data[16])), i3085[16], i71[16], i3104[16], java.lang.Object(java.lang.String(i3403[16])))∧(UIncreasing(COND_LOAD15508ARR5(&&(&&(&&(&&(>(i3403[16], 0), >(i3085[16], 0)), <(i3085[16], i4[16])), >(i3104[16], 0)), >(+(i3085[16], 1), 0)), java.lang.Object(ARRAY(i4[16], a30817data[16])), i3085[16], i71[16], i3104[16], java.lang.Object(java.lang.String(i3403[16])))), ≥))



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

    (79)    (i3085[16] ≥ 0∧i3104[16] + [-1] ≥ 0∧i4[16] + [-1] + [-1]i3085[16] ≥ 0∧i3403[16] + [-1] ≥ 0∧i3085[16] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR5(&&(&&(&&(&&(>(i3403[16], 0), >(i3085[16], 0)), <(i3085[16], i4[16])), >(i3104[16], 0)), >(+(i3085[16], 1), 0)), java.lang.Object(ARRAY(i4[16], a30817data[16])), i3085[16], i71[16], i3104[16], java.lang.Object(java.lang.String(i3403[16])))), ≥)∧[(-1)bni_49 + (-1)Bound*bni_49] + [bni_49]i3104[16] ≥ 0∧[(-1)bso_50] ≥ 0)



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

    (80)    (i3085[16] ≥ 0∧i3104[16] + [-1] ≥ 0∧i4[16] + [-1] + [-1]i3085[16] ≥ 0∧i3403[16] + [-1] ≥ 0∧i3085[16] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR5(&&(&&(&&(&&(>(i3403[16], 0), >(i3085[16], 0)), <(i3085[16], i4[16])), >(i3104[16], 0)), >(+(i3085[16], 1), 0)), java.lang.Object(ARRAY(i4[16], a30817data[16])), i3085[16], i71[16], i3104[16], java.lang.Object(java.lang.String(i3403[16])))), ≥)∧[(-1)bni_49 + (-1)Bound*bni_49] + [bni_49]i3104[16] ≥ 0∧[(-1)bso_50] ≥ 0)



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

    (81)    (i3085[16] ≥ 0∧i3104[16] + [-1] ≥ 0∧i4[16] + [-1] + [-1]i3085[16] ≥ 0∧i3403[16] + [-1] ≥ 0∧i3085[16] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR5(&&(&&(&&(&&(>(i3403[16], 0), >(i3085[16], 0)), <(i3085[16], i4[16])), >(i3104[16], 0)), >(+(i3085[16], 1), 0)), java.lang.Object(ARRAY(i4[16], a30817data[16])), i3085[16], i71[16], i3104[16], java.lang.Object(java.lang.String(i3403[16])))), ≥)∧[(-1)bni_49 + (-1)Bound*bni_49] + [bni_49]i3104[16] ≥ 0∧[(-1)bso_50] ≥ 0)



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

    (82)    (i3085[16] ≥ 0∧i3104[16] + [-1] ≥ 0∧i4[16] + [-1] + [-1]i3085[16] ≥ 0∧i3403[16] + [-1] ≥ 0∧i3085[16] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR5(&&(&&(&&(&&(>(i3403[16], 0), >(i3085[16], 0)), <(i3085[16], i4[16])), >(i3104[16], 0)), >(+(i3085[16], 1), 0)), java.lang.Object(ARRAY(i4[16], a30817data[16])), i3085[16], i71[16], i3104[16], java.lang.Object(java.lang.String(i3403[16])))), ≥)∧0 = 0∧[(-1)bni_49 + (-1)Bound*bni_49] + [bni_49]i3104[16] ≥ 0∧0 = 0∧[(-1)bso_50] ≥ 0)



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

    (83)    ([1] + i3085[16] ≥ 0∧i3104[16] + [-1] ≥ 0∧i4[16] + [-2] + [-1]i3085[16] ≥ 0∧i3403[16] + [-1] ≥ 0∧i3085[16] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR5(&&(&&(&&(&&(>(i3403[16], 0), >(i3085[16], 0)), <(i3085[16], i4[16])), >(i3104[16], 0)), >(+(i3085[16], 1), 0)), java.lang.Object(ARRAY(i4[16], a30817data[16])), i3085[16], i71[16], i3104[16], java.lang.Object(java.lang.String(i3403[16])))), ≥)∧0 = 0∧[(-1)bni_49 + (-1)Bound*bni_49] + [bni_49]i3104[16] ≥ 0∧0 = 0∧[(-1)bso_50] ≥ 0)



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

    (84)    ([1] + i3085[16] ≥ 0∧i3104[16] ≥ 0∧i4[16] + [-2] + [-1]i3085[16] ≥ 0∧i3403[16] + [-1] ≥ 0∧i3085[16] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR5(&&(&&(&&(&&(>(i3403[16], 0), >(i3085[16], 0)), <(i3085[16], i4[16])), >(i3104[16], 0)), >(+(i3085[16], 1), 0)), java.lang.Object(ARRAY(i4[16], a30817data[16])), i3085[16], i71[16], i3104[16], java.lang.Object(java.lang.String(i3403[16])))), ≥)∧0 = 0∧[(-1)Bound*bni_49] + [bni_49]i3104[16] ≥ 0∧0 = 0∧[(-1)bso_50] ≥ 0)



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

    (85)    ([1] + i3085[16] ≥ 0∧i3104[16] ≥ 0∧i4[16] ≥ 0∧i3403[16] + [-1] ≥ 0∧i3085[16] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR5(&&(&&(&&(&&(>(i3403[16], 0), >(i3085[16], 0)), <(i3085[16], i4[16])), >(i3104[16], 0)), >(+(i3085[16], 1), 0)), java.lang.Object(ARRAY(i4[16], a30817data[16])), i3085[16], i71[16], i3104[16], java.lang.Object(java.lang.String(i3403[16])))), ≥)∧0 = 0∧[(-1)Bound*bni_49] + [bni_49]i3104[16] ≥ 0∧0 = 0∧[(-1)bso_50] ≥ 0)



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

    (86)    ([1] + i3085[16] ≥ 0∧i3104[16] ≥ 0∧i4[16] ≥ 0∧i3403[16] ≥ 0∧i3085[16] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR5(&&(&&(&&(&&(>(i3403[16], 0), >(i3085[16], 0)), <(i3085[16], i4[16])), >(i3104[16], 0)), >(+(i3085[16], 1), 0)), java.lang.Object(ARRAY(i4[16], a30817data[16])), i3085[16], i71[16], i3104[16], java.lang.Object(java.lang.String(i3403[16])))), ≥)∧0 = 0∧[(-1)Bound*bni_49] + [bni_49]i3104[16] ≥ 0∧0 = 0∧[(-1)bso_50] ≥ 0)







For Pair LOAD15508(java.lang.Object(ARRAY(i4[15], a30817data[15])), i3085[15], i71[15], i3104[15]) → LOAD15508ARR5(java.lang.Object(ARRAY(i4[15], a30817data[15])), i3085[15], i71[15], i3104[15], java.lang.Object(java.lang.String(i3403[15]))) the following chains were created:
  • We consider the chain LOAD15508(java.lang.Object(ARRAY(i4[15], a30817data[15])), i3085[15], i71[15], i3104[15]) → LOAD15508ARR5(java.lang.Object(ARRAY(i4[15], a30817data[15])), i3085[15], i71[15], i3104[15], java.lang.Object(java.lang.String(i3403[15]))) which results in the following constraint:

    (87)    (LOAD15508(java.lang.Object(ARRAY(i4[15], a30817data[15])), i3085[15], i71[15], i3104[15])≥NonInfC∧LOAD15508(java.lang.Object(ARRAY(i4[15], a30817data[15])), i3085[15], i71[15], i3104[15])≥LOAD15508ARR5(java.lang.Object(ARRAY(i4[15], a30817data[15])), i3085[15], i71[15], i3104[15], java.lang.Object(java.lang.String(i3403[15])))∧(UIncreasing(LOAD15508ARR5(java.lang.Object(ARRAY(i4[15], a30817data[15])), i3085[15], i71[15], i3104[15], java.lang.Object(java.lang.String(i3403[15])))), ≥))



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

    (88)    ((UIncreasing(LOAD15508ARR5(java.lang.Object(ARRAY(i4[15], a30817data[15])), i3085[15], i71[15], i3104[15], java.lang.Object(java.lang.String(i3403[15])))), ≥)∧[(-1)bso_52] ≥ 0)



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

    (89)    ((UIncreasing(LOAD15508ARR5(java.lang.Object(ARRAY(i4[15], a30817data[15])), i3085[15], i71[15], i3104[15], java.lang.Object(java.lang.String(i3403[15])))), ≥)∧[(-1)bso_52] ≥ 0)



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

    (90)    ((UIncreasing(LOAD15508ARR5(java.lang.Object(ARRAY(i4[15], a30817data[15])), i3085[15], i71[15], i3104[15], java.lang.Object(java.lang.String(i3403[15])))), ≥)∧[(-1)bso_52] ≥ 0)



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

    (91)    ((UIncreasing(LOAD15508ARR5(java.lang.Object(ARRAY(i4[15], a30817data[15])), i3085[15], i71[15], i3104[15], java.lang.Object(java.lang.String(i3403[15])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_52] ≥ 0)







For Pair COND_LOAD15508ARR4(TRUE, java.lang.Object(ARRAY(i4[14], a30817data[14])), i3085[14], i71[14], i3104[14], java.lang.Object(java.lang.String(i3403[14]))) → LOAD15508(java.lang.Object(ARRAY(i4[14], a30817data[14])), +(i3085[14], 1), i71[14], +(i3104[14], -1)) the following chains were created:
  • We consider the chain COND_LOAD15508ARR4(TRUE, java.lang.Object(ARRAY(i4[14], a30817data[14])), i3085[14], i71[14], i3104[14], java.lang.Object(java.lang.String(i3403[14]))) → LOAD15508(java.lang.Object(ARRAY(i4[14], a30817data[14])), +(i3085[14], 1), i71[14], +(i3104[14], -1)) which results in the following constraint:

    (92)    (COND_LOAD15508ARR4(TRUE, java.lang.Object(ARRAY(i4[14], a30817data[14])), i3085[14], i71[14], i3104[14], java.lang.Object(java.lang.String(i3403[14])))≥NonInfC∧COND_LOAD15508ARR4(TRUE, java.lang.Object(ARRAY(i4[14], a30817data[14])), i3085[14], i71[14], i3104[14], java.lang.Object(java.lang.String(i3403[14])))≥LOAD15508(java.lang.Object(ARRAY(i4[14], a30817data[14])), +(i3085[14], 1), i71[14], +(i3104[14], -1))∧(UIncreasing(LOAD15508(java.lang.Object(ARRAY(i4[14], a30817data[14])), +(i3085[14], 1), i71[14], +(i3104[14], -1))), ≥))



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

    (93)    ((UIncreasing(LOAD15508(java.lang.Object(ARRAY(i4[14], a30817data[14])), +(i3085[14], 1), i71[14], +(i3104[14], -1))), ≥)∧[1 + (-1)bso_54] ≥ 0)



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

    (94)    ((UIncreasing(LOAD15508(java.lang.Object(ARRAY(i4[14], a30817data[14])), +(i3085[14], 1), i71[14], +(i3104[14], -1))), ≥)∧[1 + (-1)bso_54] ≥ 0)



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

    (95)    ((UIncreasing(LOAD15508(java.lang.Object(ARRAY(i4[14], a30817data[14])), +(i3085[14], 1), i71[14], +(i3104[14], -1))), ≥)∧[1 + (-1)bso_54] ≥ 0)



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

    (96)    ((UIncreasing(LOAD15508(java.lang.Object(ARRAY(i4[14], a30817data[14])), +(i3085[14], 1), i71[14], +(i3104[14], -1))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_54] ≥ 0)







For Pair LOAD15508ARR4(java.lang.Object(ARRAY(i4[13], a30817data[13])), i3085[13], i71[13], i3104[13], java.lang.Object(java.lang.String(i3403[13]))) → COND_LOAD15508ARR4(&&(&&(&&(&&(>(i3403[13], 0), >(i3085[13], 0)), <(i3085[13], i4[13])), >(i3104[13], 0)), >(+(i3085[13], 1), 0)), java.lang.Object(ARRAY(i4[13], a30817data[13])), i3085[13], i71[13], i3104[13], java.lang.Object(java.lang.String(i3403[13]))) the following chains were created:
  • We consider the chain LOAD15508ARR4(java.lang.Object(ARRAY(i4[13], a30817data[13])), i3085[13], i71[13], i3104[13], java.lang.Object(java.lang.String(i3403[13]))) → COND_LOAD15508ARR4(&&(&&(&&(&&(>(i3403[13], 0), >(i3085[13], 0)), <(i3085[13], i4[13])), >(i3104[13], 0)), >(+(i3085[13], 1), 0)), java.lang.Object(ARRAY(i4[13], a30817data[13])), i3085[13], i71[13], i3104[13], java.lang.Object(java.lang.String(i3403[13]))), COND_LOAD15508ARR4(TRUE, java.lang.Object(ARRAY(i4[14], a30817data[14])), i3085[14], i71[14], i3104[14], java.lang.Object(java.lang.String(i3403[14]))) → LOAD15508(java.lang.Object(ARRAY(i4[14], a30817data[14])), +(i3085[14], 1), i71[14], +(i3104[14], -1)) which results in the following constraint:

    (97)    (i71[13]=i71[14]&&(&&(&&(&&(>(i3403[13], 0), >(i3085[13], 0)), <(i3085[13], i4[13])), >(i3104[13], 0)), >(+(i3085[13], 1), 0))=TRUEi3104[13]=i3104[14]i3403[13]=i3403[14]i3085[13]=i3085[14]i4[13]=i4[14]a30817data[13]=a30817data[14]LOAD15508ARR4(java.lang.Object(ARRAY(i4[13], a30817data[13])), i3085[13], i71[13], i3104[13], java.lang.Object(java.lang.String(i3403[13])))≥NonInfC∧LOAD15508ARR4(java.lang.Object(ARRAY(i4[13], a30817data[13])), i3085[13], i71[13], i3104[13], java.lang.Object(java.lang.String(i3403[13])))≥COND_LOAD15508ARR4(&&(&&(&&(&&(>(i3403[13], 0), >(i3085[13], 0)), <(i3085[13], i4[13])), >(i3104[13], 0)), >(+(i3085[13], 1), 0)), java.lang.Object(ARRAY(i4[13], a30817data[13])), i3085[13], i71[13], i3104[13], java.lang.Object(java.lang.String(i3403[13])))∧(UIncreasing(COND_LOAD15508ARR4(&&(&&(&&(&&(>(i3403[13], 0), >(i3085[13], 0)), <(i3085[13], i4[13])), >(i3104[13], 0)), >(+(i3085[13], 1), 0)), java.lang.Object(ARRAY(i4[13], a30817data[13])), i3085[13], i71[13], i3104[13], java.lang.Object(java.lang.String(i3403[13])))), ≥))



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

    (98)    (>(+(i3085[13], 1), 0)=TRUE>(i3104[13], 0)=TRUE<(i3085[13], i4[13])=TRUE>(i3403[13], 0)=TRUE>(i3085[13], 0)=TRUELOAD15508ARR4(java.lang.Object(ARRAY(i4[13], a30817data[13])), i3085[13], i71[13], i3104[13], java.lang.Object(java.lang.String(i3403[13])))≥NonInfC∧LOAD15508ARR4(java.lang.Object(ARRAY(i4[13], a30817data[13])), i3085[13], i71[13], i3104[13], java.lang.Object(java.lang.String(i3403[13])))≥COND_LOAD15508ARR4(&&(&&(&&(&&(>(i3403[13], 0), >(i3085[13], 0)), <(i3085[13], i4[13])), >(i3104[13], 0)), >(+(i3085[13], 1), 0)), java.lang.Object(ARRAY(i4[13], a30817data[13])), i3085[13], i71[13], i3104[13], java.lang.Object(java.lang.String(i3403[13])))∧(UIncreasing(COND_LOAD15508ARR4(&&(&&(&&(&&(>(i3403[13], 0), >(i3085[13], 0)), <(i3085[13], i4[13])), >(i3104[13], 0)), >(+(i3085[13], 1), 0)), java.lang.Object(ARRAY(i4[13], a30817data[13])), i3085[13], i71[13], i3104[13], java.lang.Object(java.lang.String(i3403[13])))), ≥))



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

    (99)    (i3085[13] ≥ 0∧i3104[13] + [-1] ≥ 0∧i4[13] + [-1] + [-1]i3085[13] ≥ 0∧i3403[13] + [-1] ≥ 0∧i3085[13] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR4(&&(&&(&&(&&(>(i3403[13], 0), >(i3085[13], 0)), <(i3085[13], i4[13])), >(i3104[13], 0)), >(+(i3085[13], 1), 0)), java.lang.Object(ARRAY(i4[13], a30817data[13])), i3085[13], i71[13], i3104[13], java.lang.Object(java.lang.String(i3403[13])))), ≥)∧[(-1)bni_55 + (-1)Bound*bni_55] + [bni_55]i3104[13] ≥ 0∧[(-1)bso_56] ≥ 0)



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

    (100)    (i3085[13] ≥ 0∧i3104[13] + [-1] ≥ 0∧i4[13] + [-1] + [-1]i3085[13] ≥ 0∧i3403[13] + [-1] ≥ 0∧i3085[13] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR4(&&(&&(&&(&&(>(i3403[13], 0), >(i3085[13], 0)), <(i3085[13], i4[13])), >(i3104[13], 0)), >(+(i3085[13], 1), 0)), java.lang.Object(ARRAY(i4[13], a30817data[13])), i3085[13], i71[13], i3104[13], java.lang.Object(java.lang.String(i3403[13])))), ≥)∧[(-1)bni_55 + (-1)Bound*bni_55] + [bni_55]i3104[13] ≥ 0∧[(-1)bso_56] ≥ 0)



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

    (101)    (i3085[13] ≥ 0∧i3104[13] + [-1] ≥ 0∧i4[13] + [-1] + [-1]i3085[13] ≥ 0∧i3403[13] + [-1] ≥ 0∧i3085[13] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR4(&&(&&(&&(&&(>(i3403[13], 0), >(i3085[13], 0)), <(i3085[13], i4[13])), >(i3104[13], 0)), >(+(i3085[13], 1), 0)), java.lang.Object(ARRAY(i4[13], a30817data[13])), i3085[13], i71[13], i3104[13], java.lang.Object(java.lang.String(i3403[13])))), ≥)∧[(-1)bni_55 + (-1)Bound*bni_55] + [bni_55]i3104[13] ≥ 0∧[(-1)bso_56] ≥ 0)



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

    (102)    (i3085[13] ≥ 0∧i3104[13] + [-1] ≥ 0∧i4[13] + [-1] + [-1]i3085[13] ≥ 0∧i3403[13] + [-1] ≥ 0∧i3085[13] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR4(&&(&&(&&(&&(>(i3403[13], 0), >(i3085[13], 0)), <(i3085[13], i4[13])), >(i3104[13], 0)), >(+(i3085[13], 1), 0)), java.lang.Object(ARRAY(i4[13], a30817data[13])), i3085[13], i71[13], i3104[13], java.lang.Object(java.lang.String(i3403[13])))), ≥)∧0 = 0∧[(-1)bni_55 + (-1)Bound*bni_55] + [bni_55]i3104[13] ≥ 0∧0 = 0∧[(-1)bso_56] ≥ 0)



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

    (103)    ([1] + i3085[13] ≥ 0∧i3104[13] + [-1] ≥ 0∧i4[13] + [-2] + [-1]i3085[13] ≥ 0∧i3403[13] + [-1] ≥ 0∧i3085[13] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR4(&&(&&(&&(&&(>(i3403[13], 0), >(i3085[13], 0)), <(i3085[13], i4[13])), >(i3104[13], 0)), >(+(i3085[13], 1), 0)), java.lang.Object(ARRAY(i4[13], a30817data[13])), i3085[13], i71[13], i3104[13], java.lang.Object(java.lang.String(i3403[13])))), ≥)∧0 = 0∧[(-1)bni_55 + (-1)Bound*bni_55] + [bni_55]i3104[13] ≥ 0∧0 = 0∧[(-1)bso_56] ≥ 0)



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

    (104)    ([1] + i3085[13] ≥ 0∧i3104[13] ≥ 0∧i4[13] + [-2] + [-1]i3085[13] ≥ 0∧i3403[13] + [-1] ≥ 0∧i3085[13] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR4(&&(&&(&&(&&(>(i3403[13], 0), >(i3085[13], 0)), <(i3085[13], i4[13])), >(i3104[13], 0)), >(+(i3085[13], 1), 0)), java.lang.Object(ARRAY(i4[13], a30817data[13])), i3085[13], i71[13], i3104[13], java.lang.Object(java.lang.String(i3403[13])))), ≥)∧0 = 0∧[(-1)Bound*bni_55] + [bni_55]i3104[13] ≥ 0∧0 = 0∧[(-1)bso_56] ≥ 0)



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

    (105)    ([1] + i3085[13] ≥ 0∧i3104[13] ≥ 0∧i4[13] ≥ 0∧i3403[13] + [-1] ≥ 0∧i3085[13] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR4(&&(&&(&&(&&(>(i3403[13], 0), >(i3085[13], 0)), <(i3085[13], i4[13])), >(i3104[13], 0)), >(+(i3085[13], 1), 0)), java.lang.Object(ARRAY(i4[13], a30817data[13])), i3085[13], i71[13], i3104[13], java.lang.Object(java.lang.String(i3403[13])))), ≥)∧0 = 0∧[(-1)Bound*bni_55] + [bni_55]i3104[13] ≥ 0∧0 = 0∧[(-1)bso_56] ≥ 0)



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

    (106)    ([1] + i3085[13] ≥ 0∧i3104[13] ≥ 0∧i4[13] ≥ 0∧i3403[13] ≥ 0∧i3085[13] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR4(&&(&&(&&(&&(>(i3403[13], 0), >(i3085[13], 0)), <(i3085[13], i4[13])), >(i3104[13], 0)), >(+(i3085[13], 1), 0)), java.lang.Object(ARRAY(i4[13], a30817data[13])), i3085[13], i71[13], i3104[13], java.lang.Object(java.lang.String(i3403[13])))), ≥)∧0 = 0∧[(-1)Bound*bni_55] + [bni_55]i3104[13] ≥ 0∧0 = 0∧[(-1)bso_56] ≥ 0)







For Pair LOAD15508(java.lang.Object(ARRAY(i4[12], a30817data[12])), i3085[12], i71[12], i3104[12]) → LOAD15508ARR4(java.lang.Object(ARRAY(i4[12], a30817data[12])), i3085[12], i71[12], i3104[12], java.lang.Object(java.lang.String(i3403[12]))) the following chains were created:
  • We consider the chain LOAD15508(java.lang.Object(ARRAY(i4[12], a30817data[12])), i3085[12], i71[12], i3104[12]) → LOAD15508ARR4(java.lang.Object(ARRAY(i4[12], a30817data[12])), i3085[12], i71[12], i3104[12], java.lang.Object(java.lang.String(i3403[12]))) which results in the following constraint:

    (107)    (LOAD15508(java.lang.Object(ARRAY(i4[12], a30817data[12])), i3085[12], i71[12], i3104[12])≥NonInfC∧LOAD15508(java.lang.Object(ARRAY(i4[12], a30817data[12])), i3085[12], i71[12], i3104[12])≥LOAD15508ARR4(java.lang.Object(ARRAY(i4[12], a30817data[12])), i3085[12], i71[12], i3104[12], java.lang.Object(java.lang.String(i3403[12])))∧(UIncreasing(LOAD15508ARR4(java.lang.Object(ARRAY(i4[12], a30817data[12])), i3085[12], i71[12], i3104[12], java.lang.Object(java.lang.String(i3403[12])))), ≥))



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

    (108)    ((UIncreasing(LOAD15508ARR4(java.lang.Object(ARRAY(i4[12], a30817data[12])), i3085[12], i71[12], i3104[12], java.lang.Object(java.lang.String(i3403[12])))), ≥)∧[(-1)bso_58] ≥ 0)



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

    (109)    ((UIncreasing(LOAD15508ARR4(java.lang.Object(ARRAY(i4[12], a30817data[12])), i3085[12], i71[12], i3104[12], java.lang.Object(java.lang.String(i3403[12])))), ≥)∧[(-1)bso_58] ≥ 0)



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

    (110)    ((UIncreasing(LOAD15508ARR4(java.lang.Object(ARRAY(i4[12], a30817data[12])), i3085[12], i71[12], i3104[12], java.lang.Object(java.lang.String(i3403[12])))), ≥)∧[(-1)bso_58] ≥ 0)



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

    (111)    ((UIncreasing(LOAD15508ARR4(java.lang.Object(ARRAY(i4[12], a30817data[12])), i3085[12], i71[12], i3104[12], java.lang.Object(java.lang.String(i3403[12])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_58] ≥ 0)







For Pair COND_LOAD15508ARR3(TRUE, java.lang.Object(ARRAY(i4[11], a30817data[11])), i3085[11], i71[11], i3104[11], java.lang.Object(java.lang.String(i3404[11]))) → LOAD15508(java.lang.Object(ARRAY(i4[11], a30817data[11])), +(i3085[11], 1), i71[11], +(i3104[11], -1)) the following chains were created:
  • We consider the chain COND_LOAD15508ARR3(TRUE, java.lang.Object(ARRAY(i4[11], a30817data[11])), i3085[11], i71[11], i3104[11], java.lang.Object(java.lang.String(i3404[11]))) → LOAD15508(java.lang.Object(ARRAY(i4[11], a30817data[11])), +(i3085[11], 1), i71[11], +(i3104[11], -1)) which results in the following constraint:

    (112)    (COND_LOAD15508ARR3(TRUE, java.lang.Object(ARRAY(i4[11], a30817data[11])), i3085[11], i71[11], i3104[11], java.lang.Object(java.lang.String(i3404[11])))≥NonInfC∧COND_LOAD15508ARR3(TRUE, java.lang.Object(ARRAY(i4[11], a30817data[11])), i3085[11], i71[11], i3104[11], java.lang.Object(java.lang.String(i3404[11])))≥LOAD15508(java.lang.Object(ARRAY(i4[11], a30817data[11])), +(i3085[11], 1), i71[11], +(i3104[11], -1))∧(UIncreasing(LOAD15508(java.lang.Object(ARRAY(i4[11], a30817data[11])), +(i3085[11], 1), i71[11], +(i3104[11], -1))), ≥))



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

    (113)    ((UIncreasing(LOAD15508(java.lang.Object(ARRAY(i4[11], a30817data[11])), +(i3085[11], 1), i71[11], +(i3104[11], -1))), ≥)∧[1 + (-1)bso_60] ≥ 0)



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

    (114)    ((UIncreasing(LOAD15508(java.lang.Object(ARRAY(i4[11], a30817data[11])), +(i3085[11], 1), i71[11], +(i3104[11], -1))), ≥)∧[1 + (-1)bso_60] ≥ 0)



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

    (115)    ((UIncreasing(LOAD15508(java.lang.Object(ARRAY(i4[11], a30817data[11])), +(i3085[11], 1), i71[11], +(i3104[11], -1))), ≥)∧[1 + (-1)bso_60] ≥ 0)



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

    (116)    ((UIncreasing(LOAD15508(java.lang.Object(ARRAY(i4[11], a30817data[11])), +(i3085[11], 1), i71[11], +(i3104[11], -1))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_60] ≥ 0)







For Pair LOAD15508ARR3(java.lang.Object(ARRAY(i4[10], a30817data[10])), i3085[10], i71[10], i3104[10], java.lang.Object(java.lang.String(i3404[10]))) → COND_LOAD15508ARR3(&&(&&(&&(&&(<=(i3404[10], 0), >(i3085[10], 0)), <(i3085[10], i4[10])), >(i3104[10], 0)), >(+(i3085[10], 1), 0)), java.lang.Object(ARRAY(i4[10], a30817data[10])), i3085[10], i71[10], i3104[10], java.lang.Object(java.lang.String(i3404[10]))) the following chains were created:
  • We consider the chain LOAD15508ARR3(java.lang.Object(ARRAY(i4[10], a30817data[10])), i3085[10], i71[10], i3104[10], java.lang.Object(java.lang.String(i3404[10]))) → COND_LOAD15508ARR3(&&(&&(&&(&&(<=(i3404[10], 0), >(i3085[10], 0)), <(i3085[10], i4[10])), >(i3104[10], 0)), >(+(i3085[10], 1), 0)), java.lang.Object(ARRAY(i4[10], a30817data[10])), i3085[10], i71[10], i3104[10], java.lang.Object(java.lang.String(i3404[10]))), COND_LOAD15508ARR3(TRUE, java.lang.Object(ARRAY(i4[11], a30817data[11])), i3085[11], i71[11], i3104[11], java.lang.Object(java.lang.String(i3404[11]))) → LOAD15508(java.lang.Object(ARRAY(i4[11], a30817data[11])), +(i3085[11], 1), i71[11], +(i3104[11], -1)) which results in the following constraint:

    (117)    (i3085[10]=i3085[11]i4[10]=i4[11]a30817data[10]=a30817data[11]&&(&&(&&(&&(<=(i3404[10], 0), >(i3085[10], 0)), <(i3085[10], i4[10])), >(i3104[10], 0)), >(+(i3085[10], 1), 0))=TRUEi3404[10]=i3404[11]i3104[10]=i3104[11]i71[10]=i71[11]LOAD15508ARR3(java.lang.Object(ARRAY(i4[10], a30817data[10])), i3085[10], i71[10], i3104[10], java.lang.Object(java.lang.String(i3404[10])))≥NonInfC∧LOAD15508ARR3(java.lang.Object(ARRAY(i4[10], a30817data[10])), i3085[10], i71[10], i3104[10], java.lang.Object(java.lang.String(i3404[10])))≥COND_LOAD15508ARR3(&&(&&(&&(&&(<=(i3404[10], 0), >(i3085[10], 0)), <(i3085[10], i4[10])), >(i3104[10], 0)), >(+(i3085[10], 1), 0)), java.lang.Object(ARRAY(i4[10], a30817data[10])), i3085[10], i71[10], i3104[10], java.lang.Object(java.lang.String(i3404[10])))∧(UIncreasing(COND_LOAD15508ARR3(&&(&&(&&(&&(<=(i3404[10], 0), >(i3085[10], 0)), <(i3085[10], i4[10])), >(i3104[10], 0)), >(+(i3085[10], 1), 0)), java.lang.Object(ARRAY(i4[10], a30817data[10])), i3085[10], i71[10], i3104[10], java.lang.Object(java.lang.String(i3404[10])))), ≥))



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

    (118)    (>(+(i3085[10], 1), 0)=TRUE>(i3104[10], 0)=TRUE<(i3085[10], i4[10])=TRUE<=(i3404[10], 0)=TRUE>(i3085[10], 0)=TRUELOAD15508ARR3(java.lang.Object(ARRAY(i4[10], a30817data[10])), i3085[10], i71[10], i3104[10], java.lang.Object(java.lang.String(i3404[10])))≥NonInfC∧LOAD15508ARR3(java.lang.Object(ARRAY(i4[10], a30817data[10])), i3085[10], i71[10], i3104[10], java.lang.Object(java.lang.String(i3404[10])))≥COND_LOAD15508ARR3(&&(&&(&&(&&(<=(i3404[10], 0), >(i3085[10], 0)), <(i3085[10], i4[10])), >(i3104[10], 0)), >(+(i3085[10], 1), 0)), java.lang.Object(ARRAY(i4[10], a30817data[10])), i3085[10], i71[10], i3104[10], java.lang.Object(java.lang.String(i3404[10])))∧(UIncreasing(COND_LOAD15508ARR3(&&(&&(&&(&&(<=(i3404[10], 0), >(i3085[10], 0)), <(i3085[10], i4[10])), >(i3104[10], 0)), >(+(i3085[10], 1), 0)), java.lang.Object(ARRAY(i4[10], a30817data[10])), i3085[10], i71[10], i3104[10], java.lang.Object(java.lang.String(i3404[10])))), ≥))



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

    (119)    (i3085[10] ≥ 0∧i3104[10] + [-1] ≥ 0∧i4[10] + [-1] + [-1]i3085[10] ≥ 0∧[-1]i3404[10] ≥ 0∧i3085[10] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR3(&&(&&(&&(&&(<=(i3404[10], 0), >(i3085[10], 0)), <(i3085[10], i4[10])), >(i3104[10], 0)), >(+(i3085[10], 1), 0)), java.lang.Object(ARRAY(i4[10], a30817data[10])), i3085[10], i71[10], i3104[10], java.lang.Object(java.lang.String(i3404[10])))), ≥)∧[(-1)bni_61 + (-1)Bound*bni_61] + [bni_61]i3104[10] ≥ 0∧[(-1)bso_62] ≥ 0)



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

    (120)    (i3085[10] ≥ 0∧i3104[10] + [-1] ≥ 0∧i4[10] + [-1] + [-1]i3085[10] ≥ 0∧[-1]i3404[10] ≥ 0∧i3085[10] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR3(&&(&&(&&(&&(<=(i3404[10], 0), >(i3085[10], 0)), <(i3085[10], i4[10])), >(i3104[10], 0)), >(+(i3085[10], 1), 0)), java.lang.Object(ARRAY(i4[10], a30817data[10])), i3085[10], i71[10], i3104[10], java.lang.Object(java.lang.String(i3404[10])))), ≥)∧[(-1)bni_61 + (-1)Bound*bni_61] + [bni_61]i3104[10] ≥ 0∧[(-1)bso_62] ≥ 0)



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

    (121)    (i3085[10] ≥ 0∧i3104[10] + [-1] ≥ 0∧i4[10] + [-1] + [-1]i3085[10] ≥ 0∧[-1]i3404[10] ≥ 0∧i3085[10] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR3(&&(&&(&&(&&(<=(i3404[10], 0), >(i3085[10], 0)), <(i3085[10], i4[10])), >(i3104[10], 0)), >(+(i3085[10], 1), 0)), java.lang.Object(ARRAY(i4[10], a30817data[10])), i3085[10], i71[10], i3104[10], java.lang.Object(java.lang.String(i3404[10])))), ≥)∧[(-1)bni_61 + (-1)Bound*bni_61] + [bni_61]i3104[10] ≥ 0∧[(-1)bso_62] ≥ 0)



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

    (122)    (i3085[10] ≥ 0∧i3104[10] + [-1] ≥ 0∧i4[10] + [-1] + [-1]i3085[10] ≥ 0∧[-1]i3404[10] ≥ 0∧i3085[10] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR3(&&(&&(&&(&&(<=(i3404[10], 0), >(i3085[10], 0)), <(i3085[10], i4[10])), >(i3104[10], 0)), >(+(i3085[10], 1), 0)), java.lang.Object(ARRAY(i4[10], a30817data[10])), i3085[10], i71[10], i3104[10], java.lang.Object(java.lang.String(i3404[10])))), ≥)∧0 = 0∧[(-1)bni_61 + (-1)Bound*bni_61] + [bni_61]i3104[10] ≥ 0∧0 = 0∧[(-1)bso_62] ≥ 0)



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

    (123)    ([1] + i3085[10] ≥ 0∧i3104[10] + [-1] ≥ 0∧i4[10] + [-2] + [-1]i3085[10] ≥ 0∧[-1]i3404[10] ≥ 0∧i3085[10] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR3(&&(&&(&&(&&(<=(i3404[10], 0), >(i3085[10], 0)), <(i3085[10], i4[10])), >(i3104[10], 0)), >(+(i3085[10], 1), 0)), java.lang.Object(ARRAY(i4[10], a30817data[10])), i3085[10], i71[10], i3104[10], java.lang.Object(java.lang.String(i3404[10])))), ≥)∧0 = 0∧[(-1)bni_61 + (-1)Bound*bni_61] + [bni_61]i3104[10] ≥ 0∧0 = 0∧[(-1)bso_62] ≥ 0)



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

    (124)    ([1] + i3085[10] ≥ 0∧i3104[10] ≥ 0∧i4[10] + [-2] + [-1]i3085[10] ≥ 0∧[-1]i3404[10] ≥ 0∧i3085[10] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR3(&&(&&(&&(&&(<=(i3404[10], 0), >(i3085[10], 0)), <(i3085[10], i4[10])), >(i3104[10], 0)), >(+(i3085[10], 1), 0)), java.lang.Object(ARRAY(i4[10], a30817data[10])), i3085[10], i71[10], i3104[10], java.lang.Object(java.lang.String(i3404[10])))), ≥)∧0 = 0∧[(-1)Bound*bni_61] + [bni_61]i3104[10] ≥ 0∧0 = 0∧[(-1)bso_62] ≥ 0)



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

    (125)    ([1] + i3085[10] ≥ 0∧i3104[10] ≥ 0∧i4[10] ≥ 0∧[-1]i3404[10] ≥ 0∧i3085[10] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR3(&&(&&(&&(&&(<=(i3404[10], 0), >(i3085[10], 0)), <(i3085[10], i4[10])), >(i3104[10], 0)), >(+(i3085[10], 1), 0)), java.lang.Object(ARRAY(i4[10], a30817data[10])), i3085[10], i71[10], i3104[10], java.lang.Object(java.lang.String(i3404[10])))), ≥)∧0 = 0∧[(-1)Bound*bni_61] + [bni_61]i3104[10] ≥ 0∧0 = 0∧[(-1)bso_62] ≥ 0)



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

    (126)    ([1] + i3085[10] ≥ 0∧i3104[10] ≥ 0∧i4[10] ≥ 0∧i3404[10] ≥ 0∧i3085[10] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR3(&&(&&(&&(&&(<=(i3404[10], 0), >(i3085[10], 0)), <(i3085[10], i4[10])), >(i3104[10], 0)), >(+(i3085[10], 1), 0)), java.lang.Object(ARRAY(i4[10], a30817data[10])), i3085[10], i71[10], i3104[10], java.lang.Object(java.lang.String(i3404[10])))), ≥)∧0 = 0∧[(-1)Bound*bni_61] + [bni_61]i3104[10] ≥ 0∧0 = 0∧[(-1)bso_62] ≥ 0)







For Pair LOAD15508(java.lang.Object(ARRAY(i4[9], a30817data[9])), i3085[9], i71[9], i3104[9]) → LOAD15508ARR3(java.lang.Object(ARRAY(i4[9], a30817data[9])), i3085[9], i71[9], i3104[9], java.lang.Object(java.lang.String(i3404[9]))) the following chains were created:
  • We consider the chain LOAD15508(java.lang.Object(ARRAY(i4[9], a30817data[9])), i3085[9], i71[9], i3104[9]) → LOAD15508ARR3(java.lang.Object(ARRAY(i4[9], a30817data[9])), i3085[9], i71[9], i3104[9], java.lang.Object(java.lang.String(i3404[9]))) which results in the following constraint:

    (127)    (LOAD15508(java.lang.Object(ARRAY(i4[9], a30817data[9])), i3085[9], i71[9], i3104[9])≥NonInfC∧LOAD15508(java.lang.Object(ARRAY(i4[9], a30817data[9])), i3085[9], i71[9], i3104[9])≥LOAD15508ARR3(java.lang.Object(ARRAY(i4[9], a30817data[9])), i3085[9], i71[9], i3104[9], java.lang.Object(java.lang.String(i3404[9])))∧(UIncreasing(LOAD15508ARR3(java.lang.Object(ARRAY(i4[9], a30817data[9])), i3085[9], i71[9], i3104[9], java.lang.Object(java.lang.String(i3404[9])))), ≥))



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

    (128)    ((UIncreasing(LOAD15508ARR3(java.lang.Object(ARRAY(i4[9], a30817data[9])), i3085[9], i71[9], i3104[9], java.lang.Object(java.lang.String(i3404[9])))), ≥)∧[(-1)bso_64] ≥ 0)



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

    (129)    ((UIncreasing(LOAD15508ARR3(java.lang.Object(ARRAY(i4[9], a30817data[9])), i3085[9], i71[9], i3104[9], java.lang.Object(java.lang.String(i3404[9])))), ≥)∧[(-1)bso_64] ≥ 0)



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

    (130)    ((UIncreasing(LOAD15508ARR3(java.lang.Object(ARRAY(i4[9], a30817data[9])), i3085[9], i71[9], i3104[9], java.lang.Object(java.lang.String(i3404[9])))), ≥)∧[(-1)bso_64] ≥ 0)



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

    (131)    ((UIncreasing(LOAD15508ARR3(java.lang.Object(ARRAY(i4[9], a30817data[9])), i3085[9], i71[9], i3104[9], java.lang.Object(java.lang.String(i3404[9])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_64] ≥ 0)







To summarize, we get the following constraints P for the following pairs.
  • COND_LOAD15508ARR10(TRUE, java.lang.Object(ARRAY(i4[27], a30817data[27])), i3085[27], i71[27], i3104[27], java.lang.Object(java.lang.String(i3404[27]))) → JMP17958'(java.lang.Object(ARRAY(i4[27], a30817data[27])), +(i3085[27], 1), i71[27], i3104[27])
    • ((UIncreasing(JMP17958'(java.lang.Object(ARRAY(i4[27], a30817data[27])), +(i3085[27], 1), i71[27], i3104[27])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_26] ≥ 0)

  • LOAD15508ARR10(java.lang.Object(ARRAY(i4[26], a30817data[26])), i3085[26], i71[26], i3104[26], java.lang.Object(java.lang.String(i3404[26]))) → COND_LOAD15508ARR10(&&(&&(&&(&&(<=(i3404[26], 0), >(i3085[26], 0)), <(i3085[26], i4[26])), >(i3104[26], 0)), >(+(i3085[26], 1), 0)), java.lang.Object(ARRAY(i4[26], a30817data[26])), i3085[26], i71[26], i3104[26], java.lang.Object(java.lang.String(i3404[26])))
    • ([1] + i3085[26] ≥ 0∧i3104[26] ≥ 0∧i4[26] ≥ 0∧i3404[26] ≥ 0∧i3085[26] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR10(&&(&&(&&(&&(<=(i3404[26], 0), >(i3085[26], 0)), <(i3085[26], i4[26])), >(i3104[26], 0)), >(+(i3085[26], 1), 0)), java.lang.Object(ARRAY(i4[26], a30817data[26])), i3085[26], i71[26], i3104[26], java.lang.Object(java.lang.String(i3404[26])))), ≥)∧0 = 0∧[(-1)Bound*bni_27] + [bni_27]i3104[26] ≥ 0∧0 = 0∧[(-1)bso_28] ≥ 0)

  • LOAD15508(java.lang.Object(ARRAY(i4[25], a30817data[25])), i3085[25], i71[25], i3104[25]) → LOAD15508ARR10(java.lang.Object(ARRAY(i4[25], a30817data[25])), i3085[25], i71[25], i3104[25], java.lang.Object(java.lang.String(i3404[25])))
    • ((UIncreasing(LOAD15508ARR10(java.lang.Object(ARRAY(i4[25], a30817data[25])), i3085[25], i71[25], i3104[25], java.lang.Object(java.lang.String(i3404[25])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_30] ≥ 0)

  • COND_LOAD15508ARR7(TRUE, java.lang.Object(ARRAY(i4[24], a30817data[24])), i3085[24], i71[24], i3104[24], java.lang.Object(java.lang.String(i3404[24]))) → INC18057(java.lang.Object(ARRAY(i4[24], a30817data[24])), +(i3085[24], 1), i71[24], i3104[24])
    • ((UIncreasing(INC18057(java.lang.Object(ARRAY(i4[24], a30817data[24])), +(i3085[24], 1), i71[24], i3104[24])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_32] ≥ 0)

  • LOAD15508ARR7(java.lang.Object(ARRAY(i4[23], a30817data[23])), i3085[23], i71[23], i3104[23], java.lang.Object(java.lang.String(i3404[23]))) → COND_LOAD15508ARR7(&&(&&(&&(&&(<=(i3404[23], 0), >(i3085[23], 0)), <(i3085[23], i4[23])), >(i3104[23], 0)), >(+(i3085[23], 1), 0)), java.lang.Object(ARRAY(i4[23], a30817data[23])), i3085[23], i71[23], i3104[23], java.lang.Object(java.lang.String(i3404[23])))
    • ([1] + i3085[23] ≥ 0∧i3104[23] ≥ 0∧i4[23] ≥ 0∧i3404[23] ≥ 0∧i3085[23] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR7(&&(&&(&&(&&(<=(i3404[23], 0), >(i3085[23], 0)), <(i3085[23], i4[23])), >(i3104[23], 0)), >(+(i3085[23], 1), 0)), java.lang.Object(ARRAY(i4[23], a30817data[23])), i3085[23], i71[23], i3104[23], java.lang.Object(java.lang.String(i3404[23])))), ≥)∧0 = 0∧[(-1)Bound*bni_33] + [bni_33]i3104[23] ≥ 0∧0 = 0∧[(-1)bso_34] ≥ 0)

  • LOAD15508(java.lang.Object(ARRAY(i4[22], a30817data[22])), i3085[22], i71[22], i3104[22]) → LOAD15508ARR7(java.lang.Object(ARRAY(i4[22], a30817data[22])), i3085[22], i71[22], i3104[22], java.lang.Object(java.lang.String(i3404[22])))
    • ((UIncreasing(LOAD15508ARR7(java.lang.Object(ARRAY(i4[22], a30817data[22])), i3085[22], i71[22], i3104[22], java.lang.Object(java.lang.String(i3404[22])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_36] ≥ 0)

  • COND_LOAD15508ARR6(TRUE, java.lang.Object(ARRAY(i4[21], a30817data[21])), i3085[21], i71[21], i3104[21], java.lang.Object(java.lang.String(i3403[21]))) → INC18057(java.lang.Object(ARRAY(i4[21], a30817data[21])), +(i3085[21], 1), i71[21], i3104[21])
    • ((UIncreasing(INC18057(java.lang.Object(ARRAY(i4[21], a30817data[21])), +(i3085[21], 1), i71[21], i3104[21])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_38] ≥ 0)

  • LOAD15508ARR6(java.lang.Object(ARRAY(i4[20], a30817data[20])), i3085[20], i71[20], i3104[20], java.lang.Object(java.lang.String(i3403[20]))) → COND_LOAD15508ARR6(&&(&&(&&(&&(>(i3403[20], 0), >(i3085[20], 0)), <(i3085[20], i4[20])), >(i3104[20], 0)), >(+(i3085[20], 1), 0)), java.lang.Object(ARRAY(i4[20], a30817data[20])), i3085[20], i71[20], i3104[20], java.lang.Object(java.lang.String(i3403[20])))
    • ([1] + i3085[20] ≥ 0∧i3104[20] ≥ 0∧i4[20] ≥ 0∧i3403[20] ≥ 0∧i3085[20] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR6(&&(&&(&&(&&(>(i3403[20], 0), >(i3085[20], 0)), <(i3085[20], i4[20])), >(i3104[20], 0)), >(+(i3085[20], 1), 0)), java.lang.Object(ARRAY(i4[20], a30817data[20])), i3085[20], i71[20], i3104[20], java.lang.Object(java.lang.String(i3403[20])))), ≥)∧0 = 0∧[(-1)Bound*bni_39] + [bni_39]i3104[20] ≥ 0∧0 = 0∧[(-1)bso_40] ≥ 0)

  • LOAD15508(java.lang.Object(ARRAY(i4[19], a30817data[19])), i3085[19], i71[19], i3104[19]) → LOAD15508ARR6(java.lang.Object(ARRAY(i4[19], a30817data[19])), i3085[19], i71[19], i3104[19], java.lang.Object(java.lang.String(i3403[19])))
    • ((UIncreasing(LOAD15508ARR6(java.lang.Object(ARRAY(i4[19], a30817data[19])), i3085[19], i71[19], i3104[19], java.lang.Object(java.lang.String(i3403[19])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_42] ≥ 0)

  • INC18057(java.lang.Object(ARRAY(i4[8], a30817data[8])), i3158[8], i71[8], i3104[8]) → LOAD15508(java.lang.Object(ARRAY(i4[8], a30817data[8])), i3158[8], i71[8], +(i3104[8], -1))
    • ((UIncreasing(LOAD15508(java.lang.Object(ARRAY(i4[8], a30817data[8])), i3158[8], i71[8], +(i3104[8], -1))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_44] ≥ 0)

  • JMP17958'(java.lang.Object(ARRAY(i4[18], a30817data[18])), i3158[18], i71[18], i3104[18]) → INC18057(java.lang.Object(ARRAY(i4[18], a30817data[18])), i3158[18], i71[18], i3104[18])
    • ((UIncreasing(INC18057(java.lang.Object(ARRAY(i4[18], a30817data[18])), i3158[18], i71[18], i3104[18])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_46] ≥ 0)

  • COND_LOAD15508ARR5(TRUE, java.lang.Object(ARRAY(i4[17], a30817data[17])), i3085[17], i71[17], i3104[17], java.lang.Object(java.lang.String(i3403[17]))) → JMP17958'(java.lang.Object(ARRAY(i4[17], a30817data[17])), +(i3085[17], 1), i71[17], i3104[17])
    • ((UIncreasing(JMP17958'(java.lang.Object(ARRAY(i4[17], a30817data[17])), +(i3085[17], 1), i71[17], i3104[17])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_48] ≥ 0)

  • LOAD15508ARR5(java.lang.Object(ARRAY(i4[16], a30817data[16])), i3085[16], i71[16], i3104[16], java.lang.Object(java.lang.String(i3403[16]))) → COND_LOAD15508ARR5(&&(&&(&&(&&(>(i3403[16], 0), >(i3085[16], 0)), <(i3085[16], i4[16])), >(i3104[16], 0)), >(+(i3085[16], 1), 0)), java.lang.Object(ARRAY(i4[16], a30817data[16])), i3085[16], i71[16], i3104[16], java.lang.Object(java.lang.String(i3403[16])))
    • ([1] + i3085[16] ≥ 0∧i3104[16] ≥ 0∧i4[16] ≥ 0∧i3403[16] ≥ 0∧i3085[16] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR5(&&(&&(&&(&&(>(i3403[16], 0), >(i3085[16], 0)), <(i3085[16], i4[16])), >(i3104[16], 0)), >(+(i3085[16], 1), 0)), java.lang.Object(ARRAY(i4[16], a30817data[16])), i3085[16], i71[16], i3104[16], java.lang.Object(java.lang.String(i3403[16])))), ≥)∧0 = 0∧[(-1)Bound*bni_49] + [bni_49]i3104[16] ≥ 0∧0 = 0∧[(-1)bso_50] ≥ 0)

  • LOAD15508(java.lang.Object(ARRAY(i4[15], a30817data[15])), i3085[15], i71[15], i3104[15]) → LOAD15508ARR5(java.lang.Object(ARRAY(i4[15], a30817data[15])), i3085[15], i71[15], i3104[15], java.lang.Object(java.lang.String(i3403[15])))
    • ((UIncreasing(LOAD15508ARR5(java.lang.Object(ARRAY(i4[15], a30817data[15])), i3085[15], i71[15], i3104[15], java.lang.Object(java.lang.String(i3403[15])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_52] ≥ 0)

  • COND_LOAD15508ARR4(TRUE, java.lang.Object(ARRAY(i4[14], a30817data[14])), i3085[14], i71[14], i3104[14], java.lang.Object(java.lang.String(i3403[14]))) → LOAD15508(java.lang.Object(ARRAY(i4[14], a30817data[14])), +(i3085[14], 1), i71[14], +(i3104[14], -1))
    • ((UIncreasing(LOAD15508(java.lang.Object(ARRAY(i4[14], a30817data[14])), +(i3085[14], 1), i71[14], +(i3104[14], -1))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_54] ≥ 0)

  • LOAD15508ARR4(java.lang.Object(ARRAY(i4[13], a30817data[13])), i3085[13], i71[13], i3104[13], java.lang.Object(java.lang.String(i3403[13]))) → COND_LOAD15508ARR4(&&(&&(&&(&&(>(i3403[13], 0), >(i3085[13], 0)), <(i3085[13], i4[13])), >(i3104[13], 0)), >(+(i3085[13], 1), 0)), java.lang.Object(ARRAY(i4[13], a30817data[13])), i3085[13], i71[13], i3104[13], java.lang.Object(java.lang.String(i3403[13])))
    • ([1] + i3085[13] ≥ 0∧i3104[13] ≥ 0∧i4[13] ≥ 0∧i3403[13] ≥ 0∧i3085[13] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR4(&&(&&(&&(&&(>(i3403[13], 0), >(i3085[13], 0)), <(i3085[13], i4[13])), >(i3104[13], 0)), >(+(i3085[13], 1), 0)), java.lang.Object(ARRAY(i4[13], a30817data[13])), i3085[13], i71[13], i3104[13], java.lang.Object(java.lang.String(i3403[13])))), ≥)∧0 = 0∧[(-1)Bound*bni_55] + [bni_55]i3104[13] ≥ 0∧0 = 0∧[(-1)bso_56] ≥ 0)

  • LOAD15508(java.lang.Object(ARRAY(i4[12], a30817data[12])), i3085[12], i71[12], i3104[12]) → LOAD15508ARR4(java.lang.Object(ARRAY(i4[12], a30817data[12])), i3085[12], i71[12], i3104[12], java.lang.Object(java.lang.String(i3403[12])))
    • ((UIncreasing(LOAD15508ARR4(java.lang.Object(ARRAY(i4[12], a30817data[12])), i3085[12], i71[12], i3104[12], java.lang.Object(java.lang.String(i3403[12])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_58] ≥ 0)

  • COND_LOAD15508ARR3(TRUE, java.lang.Object(ARRAY(i4[11], a30817data[11])), i3085[11], i71[11], i3104[11], java.lang.Object(java.lang.String(i3404[11]))) → LOAD15508(java.lang.Object(ARRAY(i4[11], a30817data[11])), +(i3085[11], 1), i71[11], +(i3104[11], -1))
    • ((UIncreasing(LOAD15508(java.lang.Object(ARRAY(i4[11], a30817data[11])), +(i3085[11], 1), i71[11], +(i3104[11], -1))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_60] ≥ 0)

  • LOAD15508ARR3(java.lang.Object(ARRAY(i4[10], a30817data[10])), i3085[10], i71[10], i3104[10], java.lang.Object(java.lang.String(i3404[10]))) → COND_LOAD15508ARR3(&&(&&(&&(&&(<=(i3404[10], 0), >(i3085[10], 0)), <(i3085[10], i4[10])), >(i3104[10], 0)), >(+(i3085[10], 1), 0)), java.lang.Object(ARRAY(i4[10], a30817data[10])), i3085[10], i71[10], i3104[10], java.lang.Object(java.lang.String(i3404[10])))
    • ([1] + i3085[10] ≥ 0∧i3104[10] ≥ 0∧i4[10] ≥ 0∧i3404[10] ≥ 0∧i3085[10] ≥ 0 ⇒ (UIncreasing(COND_LOAD15508ARR3(&&(&&(&&(&&(<=(i3404[10], 0), >(i3085[10], 0)), <(i3085[10], i4[10])), >(i3104[10], 0)), >(+(i3085[10], 1), 0)), java.lang.Object(ARRAY(i4[10], a30817data[10])), i3085[10], i71[10], i3104[10], java.lang.Object(java.lang.String(i3404[10])))), ≥)∧0 = 0∧[(-1)Bound*bni_61] + [bni_61]i3104[10] ≥ 0∧0 = 0∧[(-1)bso_62] ≥ 0)

  • LOAD15508(java.lang.Object(ARRAY(i4[9], a30817data[9])), i3085[9], i71[9], i3104[9]) → LOAD15508ARR3(java.lang.Object(ARRAY(i4[9], a30817data[9])), i3085[9], i71[9], i3104[9], java.lang.Object(java.lang.String(i3404[9])))
    • ((UIncreasing(LOAD15508ARR3(java.lang.Object(ARRAY(i4[9], a30817data[9])), i3085[9], i71[9], i3104[9], java.lang.Object(java.lang.String(i3404[9])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_64] ≥ 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(COND_LOAD15508ARR10(x1, x2, x3, x4, x5, x6)) = [-1] + x5   
POL(java.lang.Object(x1)) = x1   
POL(ARRAY(x1, x2)) = [-1]x2 + [-1]x1   
POL(java.lang.String(x1)) = x1   
POL(JMP17958'(x1, x2, x3, x4)) = [-1] + x4   
POL(+(x1, x2)) = x1 + x2   
POL(1) = [1]   
POL(LOAD15508ARR10(x1, x2, x3, x4, x5)) = [-1] + x4   
POL(&&(x1, x2)) = [-1]   
POL(<=(x1, x2)) = [-1]   
POL(0) = 0   
POL(>(x1, x2)) = [-1]   
POL(<(x1, x2)) = [-1]   
POL(LOAD15508(x1, x2, x3, x4)) = [-1] + x4   
POL(COND_LOAD15508ARR7(x1, x2, x3, x4, x5, x6)) = [-1] + x5   
POL(INC18057(x1, x2, x3, x4)) = [-1] + x4   
POL(LOAD15508ARR7(x1, x2, x3, x4, x5)) = [-1] + x4   
POL(COND_LOAD15508ARR6(x1, x2, x3, x4, x5, x6)) = [-1] + x5   
POL(LOAD15508ARR6(x1, x2, x3, x4, x5)) = [-1] + x4   
POL(-1) = [-1]   
POL(COND_LOAD15508ARR5(x1, x2, x3, x4, x5, x6)) = [-1] + x5   
POL(LOAD15508ARR5(x1, x2, x3, x4, x5)) = [-1] + x4   
POL(COND_LOAD15508ARR4(x1, x2, x3, x4, x5, x6)) = [-1] + x5   
POL(LOAD15508ARR4(x1, x2, x3, x4, x5)) = [-1] + x4   
POL(COND_LOAD15508ARR3(x1, x2, x3, x4, x5, x6)) = [-1] + x5   
POL(LOAD15508ARR3(x1, x2, x3, x4, x5)) = [-1] + x4   

The following pairs are in P>:

INC18057(java.lang.Object(ARRAY(i4[8], a30817data[8])), i3158[8], i71[8], i3104[8]) → LOAD15508(java.lang.Object(ARRAY(i4[8], a30817data[8])), i3158[8], i71[8], +(i3104[8], -1))
COND_LOAD15508ARR4(TRUE, java.lang.Object(ARRAY(i4[14], a30817data[14])), i3085[14], i71[14], i3104[14], java.lang.Object(java.lang.String(i3403[14]))) → LOAD15508(java.lang.Object(ARRAY(i4[14], a30817data[14])), +(i3085[14], 1), i71[14], +(i3104[14], -1))
COND_LOAD15508ARR3(TRUE, java.lang.Object(ARRAY(i4[11], a30817data[11])), i3085[11], i71[11], i3104[11], java.lang.Object(java.lang.String(i3404[11]))) → LOAD15508(java.lang.Object(ARRAY(i4[11], a30817data[11])), +(i3085[11], 1), i71[11], +(i3104[11], -1))

The following pairs are in Pbound:

LOAD15508ARR10(java.lang.Object(ARRAY(i4[26], a30817data[26])), i3085[26], i71[26], i3104[26], java.lang.Object(java.lang.String(i3404[26]))) → COND_LOAD15508ARR10(&&(&&(&&(&&(<=(i3404[26], 0), >(i3085[26], 0)), <(i3085[26], i4[26])), >(i3104[26], 0)), >(+(i3085[26], 1), 0)), java.lang.Object(ARRAY(i4[26], a30817data[26])), i3085[26], i71[26], i3104[26], java.lang.Object(java.lang.String(i3404[26])))
LOAD15508ARR7(java.lang.Object(ARRAY(i4[23], a30817data[23])), i3085[23], i71[23], i3104[23], java.lang.Object(java.lang.String(i3404[23]))) → COND_LOAD15508ARR7(&&(&&(&&(&&(<=(i3404[23], 0), >(i3085[23], 0)), <(i3085[23], i4[23])), >(i3104[23], 0)), >(+(i3085[23], 1), 0)), java.lang.Object(ARRAY(i4[23], a30817data[23])), i3085[23], i71[23], i3104[23], java.lang.Object(java.lang.String(i3404[23])))
LOAD15508ARR6(java.lang.Object(ARRAY(i4[20], a30817data[20])), i3085[20], i71[20], i3104[20], java.lang.Object(java.lang.String(i3403[20]))) → COND_LOAD15508ARR6(&&(&&(&&(&&(>(i3403[20], 0), >(i3085[20], 0)), <(i3085[20], i4[20])), >(i3104[20], 0)), >(+(i3085[20], 1), 0)), java.lang.Object(ARRAY(i4[20], a30817data[20])), i3085[20], i71[20], i3104[20], java.lang.Object(java.lang.String(i3403[20])))
LOAD15508ARR5(java.lang.Object(ARRAY(i4[16], a30817data[16])), i3085[16], i71[16], i3104[16], java.lang.Object(java.lang.String(i3403[16]))) → COND_LOAD15508ARR5(&&(&&(&&(&&(>(i3403[16], 0), >(i3085[16], 0)), <(i3085[16], i4[16])), >(i3104[16], 0)), >(+(i3085[16], 1), 0)), java.lang.Object(ARRAY(i4[16], a30817data[16])), i3085[16], i71[16], i3104[16], java.lang.Object(java.lang.String(i3403[16])))
LOAD15508ARR4(java.lang.Object(ARRAY(i4[13], a30817data[13])), i3085[13], i71[13], i3104[13], java.lang.Object(java.lang.String(i3403[13]))) → COND_LOAD15508ARR4(&&(&&(&&(&&(>(i3403[13], 0), >(i3085[13], 0)), <(i3085[13], i4[13])), >(i3104[13], 0)), >(+(i3085[13], 1), 0)), java.lang.Object(ARRAY(i4[13], a30817data[13])), i3085[13], i71[13], i3104[13], java.lang.Object(java.lang.String(i3403[13])))
LOAD15508ARR3(java.lang.Object(ARRAY(i4[10], a30817data[10])), i3085[10], i71[10], i3104[10], java.lang.Object(java.lang.String(i3404[10]))) → COND_LOAD15508ARR3(&&(&&(&&(&&(<=(i3404[10], 0), >(i3085[10], 0)), <(i3085[10], i4[10])), >(i3104[10], 0)), >(+(i3085[10], 1), 0)), java.lang.Object(ARRAY(i4[10], a30817data[10])), i3085[10], i71[10], i3104[10], java.lang.Object(java.lang.String(i3404[10])))

The following pairs are in P:

COND_LOAD15508ARR10(TRUE, java.lang.Object(ARRAY(i4[27], a30817data[27])), i3085[27], i71[27], i3104[27], java.lang.Object(java.lang.String(i3404[27]))) → JMP17958'(java.lang.Object(ARRAY(i4[27], a30817data[27])), +(i3085[27], 1), i71[27], i3104[27])
LOAD15508ARR10(java.lang.Object(ARRAY(i4[26], a30817data[26])), i3085[26], i71[26], i3104[26], java.lang.Object(java.lang.String(i3404[26]))) → COND_LOAD15508ARR10(&&(&&(&&(&&(<=(i3404[26], 0), >(i3085[26], 0)), <(i3085[26], i4[26])), >(i3104[26], 0)), >(+(i3085[26], 1), 0)), java.lang.Object(ARRAY(i4[26], a30817data[26])), i3085[26], i71[26], i3104[26], java.lang.Object(java.lang.String(i3404[26])))
LOAD15508(java.lang.Object(ARRAY(i4[25], a30817data[25])), i3085[25], i71[25], i3104[25]) → LOAD15508ARR10(java.lang.Object(ARRAY(i4[25], a30817data[25])), i3085[25], i71[25], i3104[25], java.lang.Object(java.lang.String(i3404[25])))
COND_LOAD15508ARR7(TRUE, java.lang.Object(ARRAY(i4[24], a30817data[24])), i3085[24], i71[24], i3104[24], java.lang.Object(java.lang.String(i3404[24]))) → INC18057(java.lang.Object(ARRAY(i4[24], a30817data[24])), +(i3085[24], 1), i71[24], i3104[24])
LOAD15508ARR7(java.lang.Object(ARRAY(i4[23], a30817data[23])), i3085[23], i71[23], i3104[23], java.lang.Object(java.lang.String(i3404[23]))) → COND_LOAD15508ARR7(&&(&&(&&(&&(<=(i3404[23], 0), >(i3085[23], 0)), <(i3085[23], i4[23])), >(i3104[23], 0)), >(+(i3085[23], 1), 0)), java.lang.Object(ARRAY(i4[23], a30817data[23])), i3085[23], i71[23], i3104[23], java.lang.Object(java.lang.String(i3404[23])))
LOAD15508(java.lang.Object(ARRAY(i4[22], a30817data[22])), i3085[22], i71[22], i3104[22]) → LOAD15508ARR7(java.lang.Object(ARRAY(i4[22], a30817data[22])), i3085[22], i71[22], i3104[22], java.lang.Object(java.lang.String(i3404[22])))
COND_LOAD15508ARR6(TRUE, java.lang.Object(ARRAY(i4[21], a30817data[21])), i3085[21], i71[21], i3104[21], java.lang.Object(java.lang.String(i3403[21]))) → INC18057(java.lang.Object(ARRAY(i4[21], a30817data[21])), +(i3085[21], 1), i71[21], i3104[21])
LOAD15508ARR6(java.lang.Object(ARRAY(i4[20], a30817data[20])), i3085[20], i71[20], i3104[20], java.lang.Object(java.lang.String(i3403[20]))) → COND_LOAD15508ARR6(&&(&&(&&(&&(>(i3403[20], 0), >(i3085[20], 0)), <(i3085[20], i4[20])), >(i3104[20], 0)), >(+(i3085[20], 1), 0)), java.lang.Object(ARRAY(i4[20], a30817data[20])), i3085[20], i71[20], i3104[20], java.lang.Object(java.lang.String(i3403[20])))
LOAD15508(java.lang.Object(ARRAY(i4[19], a30817data[19])), i3085[19], i71[19], i3104[19]) → LOAD15508ARR6(java.lang.Object(ARRAY(i4[19], a30817data[19])), i3085[19], i71[19], i3104[19], java.lang.Object(java.lang.String(i3403[19])))
JMP17958'(java.lang.Object(ARRAY(i4[18], a30817data[18])), i3158[18], i71[18], i3104[18]) → INC18057(java.lang.Object(ARRAY(i4[18], a30817data[18])), i3158[18], i71[18], i3104[18])
COND_LOAD15508ARR5(TRUE, java.lang.Object(ARRAY(i4[17], a30817data[17])), i3085[17], i71[17], i3104[17], java.lang.Object(java.lang.String(i3403[17]))) → JMP17958'(java.lang.Object(ARRAY(i4[17], a30817data[17])), +(i3085[17], 1), i71[17], i3104[17])
LOAD15508ARR5(java.lang.Object(ARRAY(i4[16], a30817data[16])), i3085[16], i71[16], i3104[16], java.lang.Object(java.lang.String(i3403[16]))) → COND_LOAD15508ARR5(&&(&&(&&(&&(>(i3403[16], 0), >(i3085[16], 0)), <(i3085[16], i4[16])), >(i3104[16], 0)), >(+(i3085[16], 1), 0)), java.lang.Object(ARRAY(i4[16], a30817data[16])), i3085[16], i71[16], i3104[16], java.lang.Object(java.lang.String(i3403[16])))
LOAD15508(java.lang.Object(ARRAY(i4[15], a30817data[15])), i3085[15], i71[15], i3104[15]) → LOAD15508ARR5(java.lang.Object(ARRAY(i4[15], a30817data[15])), i3085[15], i71[15], i3104[15], java.lang.Object(java.lang.String(i3403[15])))
LOAD15508ARR4(java.lang.Object(ARRAY(i4[13], a30817data[13])), i3085[13], i71[13], i3104[13], java.lang.Object(java.lang.String(i3403[13]))) → COND_LOAD15508ARR4(&&(&&(&&(&&(>(i3403[13], 0), >(i3085[13], 0)), <(i3085[13], i4[13])), >(i3104[13], 0)), >(+(i3085[13], 1), 0)), java.lang.Object(ARRAY(i4[13], a30817data[13])), i3085[13], i71[13], i3104[13], java.lang.Object(java.lang.String(i3403[13])))
LOAD15508(java.lang.Object(ARRAY(i4[12], a30817data[12])), i3085[12], i71[12], i3104[12]) → LOAD15508ARR4(java.lang.Object(ARRAY(i4[12], a30817data[12])), i3085[12], i71[12], i3104[12], java.lang.Object(java.lang.String(i3403[12])))
LOAD15508ARR3(java.lang.Object(ARRAY(i4[10], a30817data[10])), i3085[10], i71[10], i3104[10], java.lang.Object(java.lang.String(i3404[10]))) → COND_LOAD15508ARR3(&&(&&(&&(&&(<=(i3404[10], 0), >(i3085[10], 0)), <(i3085[10], i4[10])), >(i3104[10], 0)), >(+(i3085[10], 1), 0)), java.lang.Object(ARRAY(i4[10], a30817data[10])), i3085[10], i71[10], i3104[10], java.lang.Object(java.lang.String(i3404[10])))
LOAD15508(java.lang.Object(ARRAY(i4[9], a30817data[9])), i3085[9], i71[9], i3104[9]) → LOAD15508ARR3(java.lang.Object(ARRAY(i4[9], a30817data[9])), i3085[9], i71[9], i3104[9], java.lang.Object(java.lang.String(i3404[9])))

There are no usable rules.

(36) Complex Obligation (AND)

(37) 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, Boolean


R is empty.

The integer pair graph contains the following rules and edges:
(27): COND_LOAD15508ARR10(TRUE, java.lang.Object(ARRAY(i4[27], a30817data[27])), i3085[27], i71[27], i3104[27], java.lang.Object(java.lang.String(i3404[27]))) → JMP17958'(java.lang.Object(ARRAY(i4[27], a30817data[27])), i3085[27] + 1, i71[27], i3104[27])
(26): LOAD15508ARR10(java.lang.Object(ARRAY(i4[26], a30817data[26])), i3085[26], i71[26], i3104[26], java.lang.Object(java.lang.String(i3404[26]))) → COND_LOAD15508ARR10(i3404[26] <= 0 && i3085[26] > 0 && i3085[26] < i4[26] && i3104[26] > 0 && i3085[26] + 1 > 0, java.lang.Object(ARRAY(i4[26], a30817data[26])), i3085[26], i71[26], i3104[26], java.lang.Object(java.lang.String(i3404[26])))
(25): LOAD15508(java.lang.Object(ARRAY(i4[25], a30817data[25])), i3085[25], i71[25], i3104[25]) → LOAD15508ARR10(java.lang.Object(ARRAY(i4[25], a30817data[25])), i3085[25], i71[25], i3104[25], java.lang.Object(java.lang.String(i3404[25])))
(24): COND_LOAD15508ARR7(TRUE, java.lang.Object(ARRAY(i4[24], a30817data[24])), i3085[24], i71[24], i3104[24], java.lang.Object(java.lang.String(i3404[24]))) → INC18057(java.lang.Object(ARRAY(i4[24], a30817data[24])), i3085[24] + 1, i71[24], i3104[24])
(23): LOAD15508ARR7(java.lang.Object(ARRAY(i4[23], a30817data[23])), i3085[23], i71[23], i3104[23], java.lang.Object(java.lang.String(i3404[23]))) → COND_LOAD15508ARR7(i3404[23] <= 0 && i3085[23] > 0 && i3085[23] < i4[23] && i3104[23] > 0 && i3085[23] + 1 > 0, java.lang.Object(ARRAY(i4[23], a30817data[23])), i3085[23], i71[23], i3104[23], java.lang.Object(java.lang.String(i3404[23])))
(22): LOAD15508(java.lang.Object(ARRAY(i4[22], a30817data[22])), i3085[22], i71[22], i3104[22]) → LOAD15508ARR7(java.lang.Object(ARRAY(i4[22], a30817data[22])), i3085[22], i71[22], i3104[22], java.lang.Object(java.lang.String(i3404[22])))
(21): COND_LOAD15508ARR6(TRUE, java.lang.Object(ARRAY(i4[21], a30817data[21])), i3085[21], i71[21], i3104[21], java.lang.Object(java.lang.String(i3403[21]))) → INC18057(java.lang.Object(ARRAY(i4[21], a30817data[21])), i3085[21] + 1, i71[21], i3104[21])
(20): LOAD15508ARR6(java.lang.Object(ARRAY(i4[20], a30817data[20])), i3085[20], i71[20], i3104[20], java.lang.Object(java.lang.String(i3403[20]))) → COND_LOAD15508ARR6(i3403[20] > 0 && i3085[20] > 0 && i3085[20] < i4[20] && i3104[20] > 0 && i3085[20] + 1 > 0, java.lang.Object(ARRAY(i4[20], a30817data[20])), i3085[20], i71[20], i3104[20], java.lang.Object(java.lang.String(i3403[20])))
(19): LOAD15508(java.lang.Object(ARRAY(i4[19], a30817data[19])), i3085[19], i71[19], i3104[19]) → LOAD15508ARR6(java.lang.Object(ARRAY(i4[19], a30817data[19])), i3085[19], i71[19], i3104[19], java.lang.Object(java.lang.String(i3403[19])))
(18): JMP17958'(java.lang.Object(ARRAY(i4[18], a30817data[18])), i3158[18], i71[18], i3104[18]) → INC18057(java.lang.Object(ARRAY(i4[18], a30817data[18])), i3158[18], i71[18], i3104[18])
(17): COND_LOAD15508ARR5(TRUE, java.lang.Object(ARRAY(i4[17], a30817data[17])), i3085[17], i71[17], i3104[17], java.lang.Object(java.lang.String(i3403[17]))) → JMP17958'(java.lang.Object(ARRAY(i4[17], a30817data[17])), i3085[17] + 1, i71[17], i3104[17])
(16): LOAD15508ARR5(java.lang.Object(ARRAY(i4[16], a30817data[16])), i3085[16], i71[16], i3104[16], java.lang.Object(java.lang.String(i3403[16]))) → COND_LOAD15508ARR5(i3403[16] > 0 && i3085[16] > 0 && i3085[16] < i4[16] && i3104[16] > 0 && i3085[16] + 1 > 0, java.lang.Object(ARRAY(i4[16], a30817data[16])), i3085[16], i71[16], i3104[16], java.lang.Object(java.lang.String(i3403[16])))
(15): LOAD15508(java.lang.Object(ARRAY(i4[15], a30817data[15])), i3085[15], i71[15], i3104[15]) → LOAD15508ARR5(java.lang.Object(ARRAY(i4[15], a30817data[15])), i3085[15], i71[15], i3104[15], java.lang.Object(java.lang.String(i3403[15])))
(13): LOAD15508ARR4(java.lang.Object(ARRAY(i4[13], a30817data[13])), i3085[13], i71[13], i3104[13], java.lang.Object(java.lang.String(i3403[13]))) → COND_LOAD15508ARR4(i3403[13] > 0 && i3085[13] > 0 && i3085[13] < i4[13] && i3104[13] > 0 && i3085[13] + 1 > 0, java.lang.Object(ARRAY(i4[13], a30817data[13])), i3085[13], i71[13], i3104[13], java.lang.Object(java.lang.String(i3403[13])))
(12): LOAD15508(java.lang.Object(ARRAY(i4[12], a30817data[12])), i3085[12], i71[12], i3104[12]) → LOAD15508ARR4(java.lang.Object(ARRAY(i4[12], a30817data[12])), i3085[12], i71[12], i3104[12], java.lang.Object(java.lang.String(i3403[12])))
(10): LOAD15508ARR3(java.lang.Object(ARRAY(i4[10], a30817data[10])), i3085[10], i71[10], i3104[10], java.lang.Object(java.lang.String(i3404[10]))) → COND_LOAD15508ARR3(i3404[10] <= 0 && i3085[10] > 0 && i3085[10] < i4[10] && i3104[10] > 0 && i3085[10] + 1 > 0, java.lang.Object(ARRAY(i4[10], a30817data[10])), i3085[10], i71[10], i3104[10], java.lang.Object(java.lang.String(i3404[10])))
(9): LOAD15508(java.lang.Object(ARRAY(i4[9], a30817data[9])), i3085[9], i71[9], i3104[9]) → LOAD15508ARR3(java.lang.Object(ARRAY(i4[9], a30817data[9])), i3085[9], i71[9], i3104[9], java.lang.Object(java.lang.String(i3404[9])))

(9) -> (10), if ((i3085[9]* i3085[10])∧(i3104[9]* i3104[10])∧(i71[9]* i71[10])∧((i4[9]* i4[10])∧(a30817data[9]* a30817data[10]))∧((i3404[9]* i3404[10])))


(12) -> (13), if (((i3403[12]* i3403[13]))∧(i3085[12]* i3085[13])∧(i71[12]* i71[13])∧(i3104[12]* i3104[13])∧((i4[12]* i4[13])∧(a30817data[12]* a30817data[13])))


(15) -> (16), if ((i3085[15]* i3085[16])∧(i71[15]* i71[16])∧(i3104[15]* i3104[16])∧((i3403[15]* i3403[16]))∧((i4[15]* i4[16])∧(a30817data[15]* a30817data[16])))


(16) -> (17), if ((i3104[16]* i3104[17])∧((i4[16]* i4[17])∧(a30817data[16]* a30817data[17]))∧((i3403[16]* i3403[17]))∧(i3085[16]* i3085[17])∧(i3403[16] > 0 && i3085[16] > 0 && i3085[16] < i4[16] && i3104[16] > 0 && i3085[16] + 1 > 0* TRUE)∧(i71[16]* i71[17]))


(17) -> (18), if ((i3104[17]* i3104[18])∧((i4[17]* i4[18])∧(a30817data[17]* a30817data[18]))∧(i3085[17] + 1* i3158[18])∧(i71[17]* i71[18]))


(27) -> (18), if (((i4[27]* i4[18])∧(a30817data[27]* a30817data[18]))∧(i3104[27]* i3104[18])∧(i71[27]* i71[18])∧(i3085[27] + 1* i3158[18]))


(19) -> (20), if ((i3085[19]* i3085[20])∧((i3403[19]* i3403[20]))∧(i3104[19]* i3104[20])∧((i4[19]* i4[20])∧(a30817data[19]* a30817data[20]))∧(i71[19]* i71[20]))


(20) -> (21), if ((i3403[20] > 0 && i3085[20] > 0 && i3085[20] < i4[20] && i3104[20] > 0 && i3085[20] + 1 > 0* TRUE)∧(i3104[20]* i3104[21])∧(i71[20]* i71[21])∧((i3403[20]* i3403[21]))∧((i4[20]* i4[21])∧(a30817data[20]* a30817data[21]))∧(i3085[20]* i3085[21]))


(22) -> (23), if (((i3404[22]* i3404[23]))∧(i3104[22]* i3104[23])∧(i3085[22]* i3085[23])∧(i71[22]* i71[23])∧((i4[22]* i4[23])∧(a30817data[22]* a30817data[23])))


(23) -> (24), if ((i3085[23]* i3085[24])∧(i3104[23]* i3104[24])∧((i3404[23]* i3404[24]))∧(i71[23]* i71[24])∧((i4[23]* i4[24])∧(a30817data[23]* a30817data[24]))∧(i3404[23] <= 0 && i3085[23] > 0 && i3085[23] < i4[23] && i3104[23] > 0 && i3085[23] + 1 > 0* TRUE))


(25) -> (26), if ((i71[25]* i71[26])∧((i3404[25]* i3404[26]))∧(i3104[25]* i3104[26])∧(i3085[25]* i3085[26])∧((i4[25]* i4[26])∧(a30817data[25]* a30817data[26])))


(26) -> (27), if ((i3104[26]* i3104[27])∧(i3085[26]* i3085[27])∧((i4[26]* i4[27])∧(a30817data[26]* a30817data[27]))∧(i71[26]* i71[27])∧((i3404[26]* i3404[27]))∧(i3404[26] <= 0 && i3085[26] > 0 && i3085[26] < i4[26] && i3104[26] > 0 && i3085[26] + 1 > 0* TRUE))



The set Q consists of the following terms:
Load1577(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load1577ARR1(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Cond_Load1577ARR1(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load15508(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4)
Cond_Load15508(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4)
Load1577ARR2(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load1577ARR2(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Inc18057(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4)
Load15508ARR3(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Cond_Load15508ARR3(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Load15508ARR4(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Cond_Load15508ARR4(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Load15508ARR5(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Cond_Load15508ARR5(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
JMP17958(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4)
Load15508ARR6(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Cond_Load15508ARR6(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Load15508ARR7(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Cond_Load15508ARR7(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Load15508ARR10(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Cond_Load15508ARR10(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))

(38) IDependencyGraphProof (EQUIVALENT transformation)

The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 0 SCCs with 17 less nodes.

(39) TRUE

(40) 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:
(27): COND_LOAD15508ARR10(TRUE, java.lang.Object(ARRAY(i4[27], a30817data[27])), i3085[27], i71[27], i3104[27], java.lang.Object(java.lang.String(i3404[27]))) → JMP17958'(java.lang.Object(ARRAY(i4[27], a30817data[27])), i3085[27] + 1, i71[27], i3104[27])
(25): LOAD15508(java.lang.Object(ARRAY(i4[25], a30817data[25])), i3085[25], i71[25], i3104[25]) → LOAD15508ARR10(java.lang.Object(ARRAY(i4[25], a30817data[25])), i3085[25], i71[25], i3104[25], java.lang.Object(java.lang.String(i3404[25])))
(24): COND_LOAD15508ARR7(TRUE, java.lang.Object(ARRAY(i4[24], a30817data[24])), i3085[24], i71[24], i3104[24], java.lang.Object(java.lang.String(i3404[24]))) → INC18057(java.lang.Object(ARRAY(i4[24], a30817data[24])), i3085[24] + 1, i71[24], i3104[24])
(22): LOAD15508(java.lang.Object(ARRAY(i4[22], a30817data[22])), i3085[22], i71[22], i3104[22]) → LOAD15508ARR7(java.lang.Object(ARRAY(i4[22], a30817data[22])), i3085[22], i71[22], i3104[22], java.lang.Object(java.lang.String(i3404[22])))
(21): COND_LOAD15508ARR6(TRUE, java.lang.Object(ARRAY(i4[21], a30817data[21])), i3085[21], i71[21], i3104[21], java.lang.Object(java.lang.String(i3403[21]))) → INC18057(java.lang.Object(ARRAY(i4[21], a30817data[21])), i3085[21] + 1, i71[21], i3104[21])
(19): LOAD15508(java.lang.Object(ARRAY(i4[19], a30817data[19])), i3085[19], i71[19], i3104[19]) → LOAD15508ARR6(java.lang.Object(ARRAY(i4[19], a30817data[19])), i3085[19], i71[19], i3104[19], java.lang.Object(java.lang.String(i3403[19])))
(8): INC18057(java.lang.Object(ARRAY(i4[8], a30817data[8])), i3158[8], i71[8], i3104[8]) → LOAD15508(java.lang.Object(ARRAY(i4[8], a30817data[8])), i3158[8], i71[8], i3104[8] + -1)
(18): JMP17958'(java.lang.Object(ARRAY(i4[18], a30817data[18])), i3158[18], i71[18], i3104[18]) → INC18057(java.lang.Object(ARRAY(i4[18], a30817data[18])), i3158[18], i71[18], i3104[18])
(17): COND_LOAD15508ARR5(TRUE, java.lang.Object(ARRAY(i4[17], a30817data[17])), i3085[17], i71[17], i3104[17], java.lang.Object(java.lang.String(i3403[17]))) → JMP17958'(java.lang.Object(ARRAY(i4[17], a30817data[17])), i3085[17] + 1, i71[17], i3104[17])
(15): LOAD15508(java.lang.Object(ARRAY(i4[15], a30817data[15])), i3085[15], i71[15], i3104[15]) → LOAD15508ARR5(java.lang.Object(ARRAY(i4[15], a30817data[15])), i3085[15], i71[15], i3104[15], java.lang.Object(java.lang.String(i3403[15])))
(14): COND_LOAD15508ARR4(TRUE, java.lang.Object(ARRAY(i4[14], a30817data[14])), i3085[14], i71[14], i3104[14], java.lang.Object(java.lang.String(i3403[14]))) → LOAD15508(java.lang.Object(ARRAY(i4[14], a30817data[14])), i3085[14] + 1, i71[14], i3104[14] + -1)
(12): LOAD15508(java.lang.Object(ARRAY(i4[12], a30817data[12])), i3085[12], i71[12], i3104[12]) → LOAD15508ARR4(java.lang.Object(ARRAY(i4[12], a30817data[12])), i3085[12], i71[12], i3104[12], java.lang.Object(java.lang.String(i3403[12])))
(11): COND_LOAD15508ARR3(TRUE, java.lang.Object(ARRAY(i4[11], a30817data[11])), i3085[11], i71[11], i3104[11], java.lang.Object(java.lang.String(i3404[11]))) → LOAD15508(java.lang.Object(ARRAY(i4[11], a30817data[11])), i3085[11] + 1, i71[11], i3104[11] + -1)
(9): LOAD15508(java.lang.Object(ARRAY(i4[9], a30817data[9])), i3085[9], i71[9], i3104[9]) → LOAD15508ARR3(java.lang.Object(ARRAY(i4[9], a30817data[9])), i3085[9], i71[9], i3104[9], java.lang.Object(java.lang.String(i3404[9])))

(18) -> (8), if (((i4[18]* i4[8])∧(a30817data[18]* a30817data[8]))∧(i71[18]* i71[8])∧(i3104[18]* i3104[8])∧(i3158[18]* i3158[8]))


(21) -> (8), if ((i3104[21]* i3104[8])∧((i4[21]* i4[8])∧(a30817data[21]* a30817data[8]))∧(i3085[21] + 1* i3158[8])∧(i71[21]* i71[8]))


(24) -> (8), if ((i3104[24]* i3104[8])∧(i71[24]* i71[8])∧(i3085[24] + 1* i3158[8])∧((i4[24]* i4[8])∧(a30817data[24]* a30817data[8])))


(8) -> (9), if (((i4[8]* i4[9])∧(a30817data[8]* a30817data[9]))∧(i3158[8]* i3085[9])∧(i3104[8] + -1* i3104[9])∧(i71[8]* i71[9]))


(11) -> (9), if ((i71[11]* i71[9])∧((i4[11]* i4[9])∧(a30817data[11]* a30817data[9]))∧(i3085[11] + 1* i3085[9])∧(i3104[11] + -1* i3104[9]))


(14) -> (9), if ((i71[14]* i71[9])∧(i3085[14] + 1* i3085[9])∧(i3104[14] + -1* i3104[9])∧((i4[14]* i4[9])∧(a30817data[14]* a30817data[9])))


(8) -> (12), if ((i71[8]* i71[12])∧(i3158[8]* i3085[12])∧((i4[8]* i4[12])∧(a30817data[8]* a30817data[12]))∧(i3104[8] + -1* i3104[12]))


(11) -> (12), if ((i71[11]* i71[12])∧(i3085[11] + 1* i3085[12])∧((i4[11]* i4[12])∧(a30817data[11]* a30817data[12]))∧(i3104[11] + -1* i3104[12]))


(14) -> (12), if (((i4[14]* i4[12])∧(a30817data[14]* a30817data[12]))∧(i3104[14] + -1* i3104[12])∧(i71[14]* i71[12])∧(i3085[14] + 1* i3085[12]))


(8) -> (15), if (((i4[8]* i4[15])∧(a30817data[8]* a30817data[15]))∧(i3158[8]* i3085[15])∧(i71[8]* i71[15])∧(i3104[8] + -1* i3104[15]))


(11) -> (15), if (((i4[11]* i4[15])∧(a30817data[11]* a30817data[15]))∧(i3085[11] + 1* i3085[15])∧(i3104[11] + -1* i3104[15])∧(i71[11]* i71[15]))


(14) -> (15), if ((i3104[14] + -1* i3104[15])∧(i71[14]* i71[15])∧(i3085[14] + 1* i3085[15])∧((i4[14]* i4[15])∧(a30817data[14]* a30817data[15])))


(17) -> (18), if ((i3104[17]* i3104[18])∧((i4[17]* i4[18])∧(a30817data[17]* a30817data[18]))∧(i3085[17] + 1* i3158[18])∧(i71[17]* i71[18]))


(27) -> (18), if (((i4[27]* i4[18])∧(a30817data[27]* a30817data[18]))∧(i3104[27]* i3104[18])∧(i71[27]* i71[18])∧(i3085[27] + 1* i3158[18]))


(8) -> (19), if ((i3104[8] + -1* i3104[19])∧(i3158[8]* i3085[19])∧((i4[8]* i4[19])∧(a30817data[8]* a30817data[19]))∧(i71[8]* i71[19]))


(11) -> (19), if ((i3085[11] + 1* i3085[19])∧((i4[11]* i4[19])∧(a30817data[11]* a30817data[19]))∧(i71[11]* i71[19])∧(i3104[11] + -1* i3104[19]))


(14) -> (19), if ((i3085[14] + 1* i3085[19])∧(i71[14]* i71[19])∧(i3104[14] + -1* i3104[19])∧((i4[14]* i4[19])∧(a30817data[14]* a30817data[19])))


(8) -> (22), if ((i3158[8]* i3085[22])∧(i3104[8] + -1* i3104[22])∧(i71[8]* i71[22])∧((i4[8]* i4[22])∧(a30817data[8]* a30817data[22])))


(11) -> (22), if (((i4[11]* i4[22])∧(a30817data[11]* a30817data[22]))∧(i3085[11] + 1* i3085[22])∧(i71[11]* i71[22])∧(i3104[11] + -1* i3104[22]))


(14) -> (22), if ((i71[14]* i71[22])∧((i4[14]* i4[22])∧(a30817data[14]* a30817data[22]))∧(i3104[14] + -1* i3104[22])∧(i3085[14] + 1* i3085[22]))


(8) -> (25), if ((i71[8]* i71[25])∧((i4[8]* i4[25])∧(a30817data[8]* a30817data[25]))∧(i3158[8]* i3085[25])∧(i3104[8] + -1* i3104[25]))


(11) -> (25), if ((i3085[11] + 1* i3085[25])∧(i3104[11] + -1* i3104[25])∧((i4[11]* i4[25])∧(a30817data[11]* a30817data[25]))∧(i71[11]* i71[25]))


(14) -> (25), if (((i4[14]* i4[25])∧(a30817data[14]* a30817data[25]))∧(i3104[14] + -1* i3104[25])∧(i71[14]* i71[25])∧(i3085[14] + 1* i3085[25]))



The set Q consists of the following terms:
Load1577(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load1577ARR1(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Cond_Load1577ARR1(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load15508(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4)
Cond_Load15508(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4)
Load1577ARR2(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load1577ARR2(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Inc18057(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4)
Load15508ARR3(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Cond_Load15508ARR3(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Load15508ARR4(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Cond_Load15508ARR4(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Load15508ARR5(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Cond_Load15508ARR5(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
JMP17958(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4)
Load15508ARR6(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Cond_Load15508ARR6(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Load15508ARR7(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Cond_Load15508ARR7(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Load15508ARR10(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))
Cond_Load15508ARR10(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(java.lang.String(x5)))

(41) IDependencyGraphProof (EQUIVALENT transformation)

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

(42) TRUE