(0) Obligation:

JBC Problem based on JBC Program:
Manifest-Version: 1.0 Created-By: 1.6.0_16 (Sun Microsystems Inc.) Main-Class: ListContentTail
public class ListContentTail{

public static void main(String[] args) {
Random.args = args;
IntList l = IntList.createIntList();

int m = IntList.nth(Random.random(),l);

while (m > 0) {

l = l.next;
m = IntList.nth(Random.random(),l);
}
}
}

class IntList {
int value;
IntList next;

public IntList(int value, IntList next) {
this.value = value;
this.next = next;
}

public static IntList createIntList() {

int i = Random.random();
IntList l = null;

while (i > 0) {
l = new IntList(Random.random(), l);
i--;
}

return l;
}

public static int nth(int n, IntList l){

while (n > 1 && l != null) {
n--;
l = l.next;
}

if (l == null) return 0;
else return l.value;
}





}






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

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


(1) JBC2FIG (SOUND transformation)

Constructed FIGraph.

(2) Obligation:

FIGraph based on JBC Program:
Graph of 448 nodes with 3 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:
Load3666(java.lang.Object(ARRAY(i6, a8555data)), i123, java.lang.Object(IntList(o5524, i503)), i500) → Load3666ARR1(java.lang.Object(ARRAY(i6, a8555data)), i123, java.lang.Object(IntList(o5524, i503)), i500, java.lang.Object(java.lang.String(i801)))
Load3666ARR1(java.lang.Object(ARRAY(i6, a8555data)), i123, java.lang.Object(IntList(o5524, i503)), i500, java.lang.Object(java.lang.String(i801))) → Cond_Load3666ARR1(i123 > 0 && i123 < i6 && i500 > 0 && i123 + 1 > 0, java.lang.Object(ARRAY(i6, a8555data)), i123, java.lang.Object(IntList(o5524, i503)), i500, java.lang.Object(java.lang.String(i801)))
Cond_Load3666ARR1(TRUE, java.lang.Object(ARRAY(i6, a8555data)), i123, java.lang.Object(IntList(o5524, i503)), i500, java.lang.Object(java.lang.String(i801))) → Load5182(java.lang.Object(ARRAY(i6, a8555data)), i123 + 1, o5524, o5524, i801, o5524)
JMP5555(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, o8925, i1365, o9395) → Load5182(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, o8925, i1365, o9395)
Load5182(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, o8925, i1315, java.lang.Object(IntList(o9395, i1395))) → Cond_Load5182(i1315 > 1, java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, o8925, i1315, java.lang.Object(IntList(o9395, i1395)))
Cond_Load5182(TRUE, java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, o8925, i1315, java.lang.Object(IntList(o9395, i1395))) → Load5182(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, o8925, i1315 + -1, o9395)
Load5182(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, o8925, i1315, o8924) → Cond_Load51821(i1315 > 0 && i1315 <= 1, java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, o8925, i1315, o8924)
Cond_Load51821(TRUE, java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, o8925, i1315, o8924) → Load5214(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, o8925, o8924)
Load5182(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, o8925, i1315, NULL) → Cond_Load51822(i1315 > 1, java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, o8925, i1315, NULL)
Cond_Load51822(TRUE, java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, o8925, i1315, NULL) → Load5214(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, o8925, NULL)
Store5482(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1370) → Load3666(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1370)
Return5413(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, o8925, i1370) → Load3666(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1370)
Load5214(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, o8925, java.lang.Object(IntList(o9251, i1370))) → Load3666(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1370)
Load5182(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, o8925, i1314, java.lang.Object(IntList(o9251, i1370))) → Cond_Load51823(i1314 <= 1, java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, o8925, i1314, java.lang.Object(IntList(o9251, i1370)))
Cond_Load51823(TRUE, java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, o8925, i1314, java.lang.Object(IntList(o9251, i1370))) → Load3666(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1370)
Load5182(java.lang.Object(ARRAY(i6, a14630data)), i636, java.lang.Object(IntList(o9408, i1398)), java.lang.Object(IntList(o9408, i1398)), i1315, java.lang.Object(IntList(o9408, i1398))) → Cond_Load51824(i1315 > 1, java.lang.Object(ARRAY(i6, a14630data)), i636, java.lang.Object(IntList(o9408, i1398)), java.lang.Object(IntList(o9408, i1398)), i1315, java.lang.Object(IntList(o9408, i1398)))
Cond_Load51824(TRUE, java.lang.Object(ARRAY(i6, a14630data)), i636, java.lang.Object(IntList(o9408, i1398)), java.lang.Object(IntList(o9408, i1398)), i1315, java.lang.Object(IntList(o9408, i1398))) → JMP5555(java.lang.Object(ARRAY(i6, a14630data)), i636, java.lang.Object(IntList(o9408, i1398)), java.lang.Object(IntList(o9408, i1398)), i1315 + -1, o9408)
Load5214(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, o8925, NULL) → Store5482(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, 0)
Load5182(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, o8925, i1314, NULL) → Cond_Load51825(i1314 <= 1, java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, o8925, i1314, NULL)
Cond_Load51825(TRUE, java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, o8925, i1314, NULL) → Store5482(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, 0)
Load5214(java.lang.Object(ARRAY(i6, a14630data)), i636, java.lang.Object(IntList(o9257, i1372)), java.lang.Object(IntList(o9257, i1372)), java.lang.Object(IntList(o9257, i1372))) → Return5413(java.lang.Object(ARRAY(i6, a14630data)), i636, java.lang.Object(IntList(o9257, i1372)), java.lang.Object(IntList(o9257, i1372)), i1372)
Load5182(java.lang.Object(ARRAY(i6, a14630data)), i636, java.lang.Object(IntList(o9257, i1372)), java.lang.Object(IntList(o9257, i1372)), i1314, java.lang.Object(IntList(o9257, i1372))) → Cond_Load51826(i1314 <= 1, java.lang.Object(ARRAY(i6, a14630data)), i636, java.lang.Object(IntList(o9257, i1372)), java.lang.Object(IntList(o9257, i1372)), i1314, java.lang.Object(IntList(o9257, i1372)))
Cond_Load51826(TRUE, java.lang.Object(ARRAY(i6, a14630data)), i636, java.lang.Object(IntList(o9257, i1372)), java.lang.Object(IntList(o9257, i1372)), i1314, java.lang.Object(IntList(o9257, i1372))) → Return5413(java.lang.Object(ARRAY(i6, a14630data)), i636, java.lang.Object(IntList(o9257, i1372)), java.lang.Object(IntList(o9257, i1372)), i1372)
The set Q consists of the following terms:
Load3666(java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(IntList(x3, x4)), x5)
Load3666ARR1(java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(IntList(x3, x4)), x5, java.lang.Object(java.lang.String(x6)))
Cond_Load3666ARR1(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(IntList(x3, x4)), x5, java.lang.Object(java.lang.String(x6)))
JMP5555(java.lang.Object(ARRAY(x0, x1)), x2, x3, x3, x4, x5)
Cond_Load5182(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x3, x4, java.lang.Object(IntList(x5, x6)))
Load5182(java.lang.Object(ARRAY(x0, x1)), x2, x3, x3, x4, x5)
Cond_Load51821(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x3, x4, x5)
Cond_Load51822(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x3, x4, NULL)
Store5482(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4)
Return5413(java.lang.Object(ARRAY(x0, x1)), x2, x3, x3, x4)
Load5214(java.lang.Object(ARRAY(x0, x1)), x2, x3, x3, java.lang.Object(IntList(x4, x5)))
Cond_Load51823(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x3, x4, java.lang.Object(IntList(x5, x6)))
Cond_Load51824(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(IntList(x3, x4)), java.lang.Object(IntList(x3, x4)), x5, java.lang.Object(IntList(x3, x4)))
Load5214(java.lang.Object(ARRAY(x0, x1)), x2, x3, x3, NULL)
Cond_Load51825(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x3, x4, NULL)
Cond_Load51826(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(IntList(x3, x4)), java.lang.Object(IntList(x3, x4)), x5, java.lang.Object(IntList(x3, x4)))

(6) GroundTermsRemoverProof (EQUIVALENT transformation)

Some arguments are removed because they always contain the same ground term.
We removed the following ground terms:
  • NULL

We removed arguments according to the following replacements:

Cond_Load51825(x1, x2, x3, x4, x5, x6, x7) → Cond_Load51825(x1, x2, x3, x4, x5, x6)
Cond_Load51822(x1, x2, x3, x4, x5, x6, x7) → Cond_Load51822(x1, x2, x3, x4, x5, x6)

(7) Obligation:

ITRS problem:

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

The TRS R consists of the following rules:
Load3666(java.lang.Object(ARRAY(i6, a8555data)), i123, java.lang.Object(IntList(o5524, i503)), i500) → Load3666ARR1(java.lang.Object(ARRAY(i6, a8555data)), i123, java.lang.Object(IntList(o5524, i503)), i500, java.lang.Object(java.lang.String(i801)))
Load3666ARR1(java.lang.Object(ARRAY(i6, a8555data)), i123, java.lang.Object(IntList(o5524, i503)), i500, java.lang.Object(java.lang.String(i801))) → Cond_Load3666ARR1(i123 > 0 && i123 < i6 && i500 > 0 && i123 + 1 > 0, java.lang.Object(ARRAY(i6, a8555data)), i123, java.lang.Object(IntList(o5524, i503)), i500, java.lang.Object(java.lang.String(i801)))
Cond_Load3666ARR1(TRUE, java.lang.Object(ARRAY(i6, a8555data)), i123, java.lang.Object(IntList(o5524, i503)), i500, java.lang.Object(java.lang.String(i801))) → Load5182(java.lang.Object(ARRAY(i6, a8555data)), i123 + 1, o5524, o5524, i801, o5524)
JMP5555(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, o8925, i1365, o9395) → Load5182(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, o8925, i1365, o9395)
Load5182(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, o8925, i1315, java.lang.Object(IntList(o9395, i1395))) → Cond_Load5182(i1315 > 1, java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, o8925, i1315, java.lang.Object(IntList(o9395, i1395)))
Cond_Load5182(TRUE, java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, o8925, i1315, java.lang.Object(IntList(o9395, i1395))) → Load5182(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, o8925, i1315 + -1, o9395)
Load5182(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, o8925, i1315, o8924) → Cond_Load51821(i1315 > 0 && i1315 <= 1, java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, o8925, i1315, o8924)
Cond_Load51821(TRUE, java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, o8925, i1315, o8924) → Load5214(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, o8925, o8924)
Load5182(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, o8925, i1315, NULL) → Cond_Load51822(i1315 > 1, java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, o8925, i1315)
Cond_Load51822(TRUE, java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, o8925, i1315) → Load5214(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, o8925, NULL)
Store5482(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1370) → Load3666(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1370)
Return5413(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, o8925, i1370) → Load3666(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1370)
Load5214(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, o8925, java.lang.Object(IntList(o9251, i1370))) → Load3666(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1370)
Load5182(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, o8925, i1314, java.lang.Object(IntList(o9251, i1370))) → Cond_Load51823(i1314 <= 1, java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, o8925, i1314, java.lang.Object(IntList(o9251, i1370)))
Cond_Load51823(TRUE, java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, o8925, i1314, java.lang.Object(IntList(o9251, i1370))) → Load3666(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1370)
Load5182(java.lang.Object(ARRAY(i6, a14630data)), i636, java.lang.Object(IntList(o9408, i1398)), java.lang.Object(IntList(o9408, i1398)), i1315, java.lang.Object(IntList(o9408, i1398))) → Cond_Load51824(i1315 > 1, java.lang.Object(ARRAY(i6, a14630data)), i636, java.lang.Object(IntList(o9408, i1398)), java.lang.Object(IntList(o9408, i1398)), i1315, java.lang.Object(IntList(o9408, i1398)))
Cond_Load51824(TRUE, java.lang.Object(ARRAY(i6, a14630data)), i636, java.lang.Object(IntList(o9408, i1398)), java.lang.Object(IntList(o9408, i1398)), i1315, java.lang.Object(IntList(o9408, i1398))) → JMP5555(java.lang.Object(ARRAY(i6, a14630data)), i636, java.lang.Object(IntList(o9408, i1398)), java.lang.Object(IntList(o9408, i1398)), i1315 + -1, o9408)
Load5214(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, o8925, NULL) → Store5482(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, 0)
Load5182(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, o8925, i1314, NULL) → Cond_Load51825(i1314 <= 1, java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, o8925, i1314)
Cond_Load51825(TRUE, java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, o8925, i1314) → Store5482(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, 0)
Load5214(java.lang.Object(ARRAY(i6, a14630data)), i636, java.lang.Object(IntList(o9257, i1372)), java.lang.Object(IntList(o9257, i1372)), java.lang.Object(IntList(o9257, i1372))) → Return5413(java.lang.Object(ARRAY(i6, a14630data)), i636, java.lang.Object(IntList(o9257, i1372)), java.lang.Object(IntList(o9257, i1372)), i1372)
Load5182(java.lang.Object(ARRAY(i6, a14630data)), i636, java.lang.Object(IntList(o9257, i1372)), java.lang.Object(IntList(o9257, i1372)), i1314, java.lang.Object(IntList(o9257, i1372))) → Cond_Load51826(i1314 <= 1, java.lang.Object(ARRAY(i6, a14630data)), i636, java.lang.Object(IntList(o9257, i1372)), java.lang.Object(IntList(o9257, i1372)), i1314, java.lang.Object(IntList(o9257, i1372)))
Cond_Load51826(TRUE, java.lang.Object(ARRAY(i6, a14630data)), i636, java.lang.Object(IntList(o9257, i1372)), java.lang.Object(IntList(o9257, i1372)), i1314, java.lang.Object(IntList(o9257, i1372))) → Return5413(java.lang.Object(ARRAY(i6, a14630data)), i636, java.lang.Object(IntList(o9257, i1372)), java.lang.Object(IntList(o9257, i1372)), i1372)
The set Q consists of the following terms:
Load3666(java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(IntList(x3, x4)), x5)
Load3666ARR1(java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(IntList(x3, x4)), x5, java.lang.Object(java.lang.String(x6)))
Cond_Load3666ARR1(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(IntList(x3, x4)), x5, java.lang.Object(java.lang.String(x6)))
JMP5555(java.lang.Object(ARRAY(x0, x1)), x2, x3, x3, x4, x5)
Cond_Load5182(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x3, x4, java.lang.Object(IntList(x5, x6)))
Load5182(java.lang.Object(ARRAY(x0, x1)), x2, x3, x3, x4, x5)
Cond_Load51821(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x3, x4, x5)
Cond_Load51822(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x3, x4)
Store5482(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4)
Return5413(java.lang.Object(ARRAY(x0, x1)), x2, x3, x3, x4)
Load5214(java.lang.Object(ARRAY(x0, x1)), x2, x3, x3, java.lang.Object(IntList(x4, x5)))
Cond_Load51823(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x3, x4, java.lang.Object(IntList(x5, x6)))
Cond_Load51824(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(IntList(x3, x4)), java.lang.Object(IntList(x3, x4)), x5, java.lang.Object(IntList(x3, x4)))
Load5214(java.lang.Object(ARRAY(x0, x1)), x2, x3, x3, NULL)
Cond_Load51825(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x3, x4)
Cond_Load51826(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(IntList(x3, x4)), java.lang.Object(IntList(x3, x4)), x5, java.lang.Object(IntList(x3, x4)))

(8) DuplicateArgsRemoverProof (EQUIVALENT transformation)

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

Cond_Load51826(x1, x2, x3, x4, x5, x6, x7) → Cond_Load51826(x1, x2, x3, x6, x7)
Load5182(x1, x2, x3, x4, x5, x6) → Load5182(x1, x2, x4, x5, x6)
Return5413(x1, x2, x3, x4, x5) → Return5413(x1, x2, x4, x5)
Load5214(x1, x2, x3, x4, x5) → Load5214(x1, x2, x4, x5)
Cond_Load51825(x1, x2, x3, x4, x5, x6) → Cond_Load51825(x1, x2, x3, x5, x6)
JMP5555(x1, x2, x3, x4, x5, x6) → JMP5555(x1, x2, x4, x5, x6)
Cond_Load51824(x1, x2, x3, x4, x5, x6, x7) → Cond_Load51824(x1, x2, x3, x6, x7)
Cond_Load51823(x1, x2, x3, x4, x5, x6, x7) → Cond_Load51823(x1, x2, x3, x5, x6, x7)
Cond_Load51822(x1, x2, x3, x4, x5, x6) → Cond_Load51822(x1, x2, x3, x5, x6)
Cond_Load51821(x1, x2, x3, x4, x5, x6, x7) → Cond_Load51821(x1, x2, x3, x5, x6, x7)
Cond_Load5182(x1, x2, x3, x4, x5, x6, x7) → Cond_Load5182(x1, x2, x3, x5, x6, x7)

(9) 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:
Load3666(java.lang.Object(ARRAY(i6, a8555data)), i123, java.lang.Object(IntList(o5524, i503)), i500) → Load3666ARR1(java.lang.Object(ARRAY(i6, a8555data)), i123, java.lang.Object(IntList(o5524, i503)), i500, java.lang.Object(java.lang.String(i801)))
Load3666ARR1(java.lang.Object(ARRAY(i6, a8555data)), i123, java.lang.Object(IntList(o5524, i503)), i500, java.lang.Object(java.lang.String(i801))) → Cond_Load3666ARR1(i123 > 0 && i123 < i6 && i500 > 0 && i123 + 1 > 0, java.lang.Object(ARRAY(i6, a8555data)), i123, java.lang.Object(IntList(o5524, i503)), i500, java.lang.Object(java.lang.String(i801)))
Cond_Load3666ARR1(TRUE, java.lang.Object(ARRAY(i6, a8555data)), i123, java.lang.Object(IntList(o5524, i503)), i500, java.lang.Object(java.lang.String(i801))) → Load5182(java.lang.Object(ARRAY(i6, a8555data)), i123 + 1, o5524, i801, o5524)
JMP5555(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1365, o9395) → Load5182(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1365, o9395)
Load5182(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1315, java.lang.Object(IntList(o9395, i1395))) → Cond_Load5182(i1315 > 1, java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1315, java.lang.Object(IntList(o9395, i1395)))
Cond_Load5182(TRUE, java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1315, java.lang.Object(IntList(o9395, i1395))) → Load5182(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1315 + -1, o9395)
Load5182(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1315, o8924) → Cond_Load51821(i1315 > 0 && i1315 <= 1, java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1315, o8924)
Cond_Load51821(TRUE, java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1315, o8924) → Load5214(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, o8924)
Load5182(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1315, NULL) → Cond_Load51822(i1315 > 1, java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1315)
Cond_Load51822(TRUE, java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1315) → Load5214(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, NULL)
Store5482(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1370) → Load3666(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1370)
Return5413(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1370) → Load3666(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1370)
Load5214(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, java.lang.Object(IntList(o9251, i1370))) → Load3666(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1370)
Load5182(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1314, java.lang.Object(IntList(o9251, i1370))) → Cond_Load51823(i1314 <= 1, java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1314, java.lang.Object(IntList(o9251, i1370)))
Cond_Load51823(TRUE, java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1314, java.lang.Object(IntList(o9251, i1370))) → Load3666(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1370)
Load5182(java.lang.Object(ARRAY(i6, a14630data)), i636, java.lang.Object(IntList(o9408, i1398)), i1315, java.lang.Object(IntList(o9408, i1398))) → Cond_Load51824(i1315 > 1, java.lang.Object(ARRAY(i6, a14630data)), i636, i1315, java.lang.Object(IntList(o9408, i1398)))
Cond_Load51824(TRUE, java.lang.Object(ARRAY(i6, a14630data)), i636, i1315, java.lang.Object(IntList(o9408, i1398))) → JMP5555(java.lang.Object(ARRAY(i6, a14630data)), i636, java.lang.Object(IntList(o9408, i1398)), i1315 + -1, o9408)
Load5214(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, NULL) → Store5482(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, 0)
Load5182(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1314, NULL) → Cond_Load51825(i1314 <= 1, java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1314)
Cond_Load51825(TRUE, java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1314) → Store5482(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, 0)
Load5214(java.lang.Object(ARRAY(i6, a14630data)), i636, java.lang.Object(IntList(o9257, i1372)), java.lang.Object(IntList(o9257, i1372))) → Return5413(java.lang.Object(ARRAY(i6, a14630data)), i636, java.lang.Object(IntList(o9257, i1372)), i1372)
Load5182(java.lang.Object(ARRAY(i6, a14630data)), i636, java.lang.Object(IntList(o9257, i1372)), i1314, java.lang.Object(IntList(o9257, i1372))) → Cond_Load51826(i1314 <= 1, java.lang.Object(ARRAY(i6, a14630data)), i636, i1314, java.lang.Object(IntList(o9257, i1372)))
Cond_Load51826(TRUE, java.lang.Object(ARRAY(i6, a14630data)), i636, i1314, java.lang.Object(IntList(o9257, i1372))) → Return5413(java.lang.Object(ARRAY(i6, a14630data)), i636, java.lang.Object(IntList(o9257, i1372)), i1372)
The set Q consists of the following terms:
Load3666(java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(IntList(x3, x4)), x5)
Load3666ARR1(java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(IntList(x3, x4)), x5, java.lang.Object(java.lang.String(x6)))
Cond_Load3666ARR1(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(IntList(x3, x4)), x5, java.lang.Object(java.lang.String(x6)))
JMP5555(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, x5)
Cond_Load5182(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(IntList(x5, x6)))
Load5182(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, x5)
Cond_Load51821(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, x5)
Cond_Load51822(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4)
Store5482(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4)
Return5413(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4)
Load5214(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(IntList(x4, x5)))
Cond_Load51823(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(IntList(x5, x6)))
Cond_Load51824(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(IntList(x4, x5)))
Load5214(java.lang.Object(ARRAY(x0, x1)), x2, x3, NULL)
Cond_Load51825(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4)
Cond_Load51826(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(IntList(x4, x5)))

(10) ITRStoIDPProof (EQUIVALENT transformation)

Added dependency pairs

(11) 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:
Load3666(java.lang.Object(ARRAY(i6, a8555data)), i123, java.lang.Object(IntList(o5524, i503)), i500) → Load3666ARR1(java.lang.Object(ARRAY(i6, a8555data)), i123, java.lang.Object(IntList(o5524, i503)), i500, java.lang.Object(java.lang.String(i801)))
Load3666ARR1(java.lang.Object(ARRAY(i6, a8555data)), i123, java.lang.Object(IntList(o5524, i503)), i500, java.lang.Object(java.lang.String(i801))) → Cond_Load3666ARR1(i123 > 0 && i123 < i6 && i500 > 0 && i123 + 1 > 0, java.lang.Object(ARRAY(i6, a8555data)), i123, java.lang.Object(IntList(o5524, i503)), i500, java.lang.Object(java.lang.String(i801)))
Cond_Load3666ARR1(TRUE, java.lang.Object(ARRAY(i6, a8555data)), i123, java.lang.Object(IntList(o5524, i503)), i500, java.lang.Object(java.lang.String(i801))) → Load5182(java.lang.Object(ARRAY(i6, a8555data)), i123 + 1, o5524, i801, o5524)
JMP5555(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1365, o9395) → Load5182(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1365, o9395)
Load5182(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1315, java.lang.Object(IntList(o9395, i1395))) → Cond_Load5182(i1315 > 1, java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1315, java.lang.Object(IntList(o9395, i1395)))
Cond_Load5182(TRUE, java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1315, java.lang.Object(IntList(o9395, i1395))) → Load5182(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1315 + -1, o9395)
Load5182(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1315, o8924) → Cond_Load51821(i1315 > 0 && i1315 <= 1, java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1315, o8924)
Cond_Load51821(TRUE, java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1315, o8924) → Load5214(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, o8924)
Load5182(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1315, NULL) → Cond_Load51822(i1315 > 1, java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1315)
Cond_Load51822(TRUE, java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1315) → Load5214(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, NULL)
Store5482(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1370) → Load3666(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1370)
Return5413(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1370) → Load3666(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1370)
Load5214(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, java.lang.Object(IntList(o9251, i1370))) → Load3666(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1370)
Load5182(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1314, java.lang.Object(IntList(o9251, i1370))) → Cond_Load51823(i1314 <= 1, java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1314, java.lang.Object(IntList(o9251, i1370)))
Cond_Load51823(TRUE, java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1314, java.lang.Object(IntList(o9251, i1370))) → Load3666(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1370)
Load5182(java.lang.Object(ARRAY(i6, a14630data)), i636, java.lang.Object(IntList(o9408, i1398)), i1315, java.lang.Object(IntList(o9408, i1398))) → Cond_Load51824(i1315 > 1, java.lang.Object(ARRAY(i6, a14630data)), i636, i1315, java.lang.Object(IntList(o9408, i1398)))
Cond_Load51824(TRUE, java.lang.Object(ARRAY(i6, a14630data)), i636, i1315, java.lang.Object(IntList(o9408, i1398))) → JMP5555(java.lang.Object(ARRAY(i6, a14630data)), i636, java.lang.Object(IntList(o9408, i1398)), i1315 + -1, o9408)
Load5214(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, NULL) → Store5482(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, 0)
Load5182(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1314, NULL) → Cond_Load51825(i1314 <= 1, java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1314)
Cond_Load51825(TRUE, java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1314) → Store5482(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, 0)
Load5214(java.lang.Object(ARRAY(i6, a14630data)), i636, java.lang.Object(IntList(o9257, i1372)), java.lang.Object(IntList(o9257, i1372))) → Return5413(java.lang.Object(ARRAY(i6, a14630data)), i636, java.lang.Object(IntList(o9257, i1372)), i1372)
Load5182(java.lang.Object(ARRAY(i6, a14630data)), i636, java.lang.Object(IntList(o9257, i1372)), i1314, java.lang.Object(IntList(o9257, i1372))) → Cond_Load51826(i1314 <= 1, java.lang.Object(ARRAY(i6, a14630data)), i636, i1314, java.lang.Object(IntList(o9257, i1372)))
Cond_Load51826(TRUE, java.lang.Object(ARRAY(i6, a14630data)), i636, i1314, java.lang.Object(IntList(o9257, i1372))) → Return5413(java.lang.Object(ARRAY(i6, a14630data)), i636, java.lang.Object(IntList(o9257, i1372)), i1372)

The integer pair graph contains the following rules and edges:
(0): LOAD3666(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0]) → LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))
(1): LOAD3666ARR1(java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1]))) → COND_LOAD3666ARR1(i123[1] > 0 && i123[1] < i6[1] && i500[1] > 0 && i123[1] + 1 > 0, java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1])))
(2): COND_LOAD3666ARR1(TRUE, java.lang.Object(ARRAY(i6[2], a8555data[2])), i123[2], java.lang.Object(IntList(o5524[2], i503[2])), i500[2], java.lang.Object(java.lang.String(i801[2]))) → LOAD5182(java.lang.Object(ARRAY(i6[2], a8555data[2])), i123[2] + 1, o5524[2], i801[2], o5524[2])
(3): JMP5555'(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3]) → LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])
(4): LOAD5182(java.lang.Object(ARRAY(i6[4], a14630data[4])), i636[4], o8925[4], i1315[4], java.lang.Object(IntList(o9395[4], i1395[4]))) → COND_LOAD5182(i1315[4] > 1, java.lang.Object(ARRAY(i6[4], a14630data[4])), i636[4], o8925[4], i1315[4], java.lang.Object(IntList(o9395[4], i1395[4])))
(5): COND_LOAD5182(TRUE, java.lang.Object(ARRAY(i6[5], a14630data[5])), i636[5], o8925[5], i1315[5], java.lang.Object(IntList(o9395[5], i1395[5]))) → LOAD5182(java.lang.Object(ARRAY(i6[5], a14630data[5])), i636[5], o8925[5], i1315[5] + -1, o9395[5])
(6): LOAD5182(java.lang.Object(ARRAY(i6[6], a14630data[6])), i636[6], o8925[6], i1315[6], o8924[6]) → COND_LOAD51821(i1315[6] > 0 && i1315[6] <= 1, java.lang.Object(ARRAY(i6[6], a14630data[6])), i636[6], o8925[6], i1315[6], o8924[6])
(7): COND_LOAD51821(TRUE, java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], i1315[7], o8924[7]) → LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7])
(8): LOAD5182(java.lang.Object(ARRAY(i6[8], a14630data[8])), i636[8], o8925[8], i1315[8], NULL) → COND_LOAD51822(i1315[8] > 1, java.lang.Object(ARRAY(i6[8], a14630data[8])), i636[8], o8925[8], i1315[8])
(9): COND_LOAD51822(TRUE, java.lang.Object(ARRAY(i6[9], a14630data[9])), i636[9], o8925[9], i1315[9]) → LOAD5214(java.lang.Object(ARRAY(i6[9], a14630data[9])), i636[9], o8925[9], NULL)
(10): STORE5482(java.lang.Object(ARRAY(i6[10], a14630data[10])), i636[10], o8925[10], i1370[10]) → LOAD3666(java.lang.Object(ARRAY(i6[10], a14630data[10])), i636[10], o8925[10], i1370[10])
(11): RETURN5413(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], o8925[11], i1370[11]) → LOAD3666(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], o8925[11], i1370[11])
(12): LOAD5214(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], o8925[12], java.lang.Object(IntList(o9251[12], i1370[12]))) → LOAD3666(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], o8925[12], i1370[12])
(13): LOAD5182(java.lang.Object(ARRAY(i6[13], a14630data[13])), i636[13], o8925[13], i1314[13], java.lang.Object(IntList(o9251[13], i1370[13]))) → COND_LOAD51823(i1314[13] <= 1, java.lang.Object(ARRAY(i6[13], a14630data[13])), i636[13], o8925[13], i1314[13], java.lang.Object(IntList(o9251[13], i1370[13])))
(14): COND_LOAD51823(TRUE, java.lang.Object(ARRAY(i6[14], a14630data[14])), i636[14], o8925[14], i1314[14], java.lang.Object(IntList(o9251[14], i1370[14]))) → LOAD3666(java.lang.Object(ARRAY(i6[14], a14630data[14])), i636[14], o8925[14], i1370[14])
(15): LOAD5182(java.lang.Object(ARRAY(i6[15], a14630data[15])), i636[15], java.lang.Object(IntList(o9408[15], i1398[15])), i1315[15], java.lang.Object(IntList(o9408[15], i1398[15]))) → COND_LOAD51824(i1315[15] > 1, java.lang.Object(ARRAY(i6[15], a14630data[15])), i636[15], i1315[15], java.lang.Object(IntList(o9408[15], i1398[15])))
(16): COND_LOAD51824(TRUE, java.lang.Object(ARRAY(i6[16], a14630data[16])), i636[16], i1315[16], java.lang.Object(IntList(o9408[16], i1398[16]))) → JMP5555'(java.lang.Object(ARRAY(i6[16], a14630data[16])), i636[16], java.lang.Object(IntList(o9408[16], i1398[16])), i1315[16] + -1, o9408[16])
(17): LOAD5214(java.lang.Object(ARRAY(i6[17], a14630data[17])), i636[17], o8925[17], NULL) → STORE5482(java.lang.Object(ARRAY(i6[17], a14630data[17])), i636[17], o8925[17], 0)
(18): LOAD5182(java.lang.Object(ARRAY(i6[18], a14630data[18])), i636[18], o8925[18], i1314[18], NULL) → COND_LOAD51825(i1314[18] <= 1, java.lang.Object(ARRAY(i6[18], a14630data[18])), i636[18], o8925[18], i1314[18])
(19): COND_LOAD51825(TRUE, java.lang.Object(ARRAY(i6[19], a14630data[19])), i636[19], o8925[19], i1314[19]) → STORE5482(java.lang.Object(ARRAY(i6[19], a14630data[19])), i636[19], o8925[19], 0)
(20): LOAD5214(java.lang.Object(ARRAY(i6[20], a14630data[20])), i636[20], java.lang.Object(IntList(o9257[20], i1372[20])), java.lang.Object(IntList(o9257[20], i1372[20]))) → RETURN5413(java.lang.Object(ARRAY(i6[20], a14630data[20])), i636[20], java.lang.Object(IntList(o9257[20], i1372[20])), i1372[20])
(21): LOAD5182(java.lang.Object(ARRAY(i6[21], a14630data[21])), i636[21], java.lang.Object(IntList(o9257[21], i1372[21])), i1314[21], java.lang.Object(IntList(o9257[21], i1372[21]))) → COND_LOAD51826(i1314[21] <= 1, java.lang.Object(ARRAY(i6[21], a14630data[21])), i636[21], i1314[21], java.lang.Object(IntList(o9257[21], i1372[21])))
(22): COND_LOAD51826(TRUE, java.lang.Object(ARRAY(i6[22], a14630data[22])), i636[22], i1314[22], java.lang.Object(IntList(o9257[22], i1372[22]))) → RETURN5413(java.lang.Object(ARRAY(i6[22], a14630data[22])), i636[22], java.lang.Object(IntList(o9257[22], i1372[22])), i1372[22])

(0) -> (1), if ((i500[0]* i500[1])∧(java.lang.Object(ARRAY(i6[0], a8555data[0])) →* java.lang.Object(ARRAY(i6[1], a8555data[1])))∧(i123[0]* i123[1])∧(java.lang.Object(IntList(o5524[0], i503[0])) →* java.lang.Object(IntList(o5524[1], i503[1])))∧(java.lang.Object(java.lang.String(i801[0])) →* java.lang.Object(java.lang.String(i801[1]))))


(1) -> (2), if ((java.lang.Object(java.lang.String(i801[1])) →* java.lang.Object(java.lang.String(i801[2])))∧(i123[1] > 0 && i123[1] < i6[1] && i500[1] > 0 && i123[1] + 1 > 0* TRUE)∧(java.lang.Object(ARRAY(i6[1], a8555data[1])) →* java.lang.Object(ARRAY(i6[2], a8555data[2])))∧(i123[1]* i123[2])∧(i500[1]* i500[2])∧(java.lang.Object(IntList(o5524[1], i503[1])) →* java.lang.Object(IntList(o5524[2], i503[2]))))


(2) -> (4), if ((i801[2]* i1315[4])∧(o5524[2]* java.lang.Object(IntList(o9395[4], i1395[4])))∧(i123[2] + 1* i636[4])∧(java.lang.Object(ARRAY(i6[2], a8555data[2])) →* java.lang.Object(ARRAY(i6[4], a14630data[4])))∧(o5524[2]* o8925[4]))


(2) -> (6), if ((o5524[2]* o8924[6])∧(java.lang.Object(ARRAY(i6[2], a8555data[2])) →* java.lang.Object(ARRAY(i6[6], a14630data[6])))∧(o5524[2]* o8925[6])∧(i801[2]* i1315[6])∧(i123[2] + 1* i636[6]))


(2) -> (8), if ((o5524[2]* o8925[8])∧(java.lang.Object(ARRAY(i6[2], a8555data[2])) →* java.lang.Object(ARRAY(i6[8], a14630data[8])))∧(o5524[2]* NULL)∧(i801[2]* i1315[8])∧(i123[2] + 1* i636[8]))


(2) -> (13), if ((o5524[2]* java.lang.Object(IntList(o9251[13], i1370[13])))∧(i801[2]* i1314[13])∧(o5524[2]* o8925[13])∧(java.lang.Object(ARRAY(i6[2], a8555data[2])) →* java.lang.Object(ARRAY(i6[13], a14630data[13])))∧(i123[2] + 1* i636[13]))


(2) -> (15), if ((i123[2] + 1* i636[15])∧(java.lang.Object(ARRAY(i6[2], a8555data[2])) →* java.lang.Object(ARRAY(i6[15], a14630data[15])))∧(i801[2]* i1315[15])∧(o5524[2]* java.lang.Object(IntList(o9408[15], i1398[15]))))


(2) -> (18), if ((o5524[2]* NULL)∧(o5524[2]* o8925[18])∧(i801[2]* i1314[18])∧(i123[2] + 1* i636[18])∧(java.lang.Object(ARRAY(i6[2], a8555data[2])) →* java.lang.Object(ARRAY(i6[18], a14630data[18]))))


(2) -> (21), if ((i801[2]* i1314[21])∧(java.lang.Object(ARRAY(i6[2], a8555data[2])) →* java.lang.Object(ARRAY(i6[21], a14630data[21])))∧(o5524[2]* java.lang.Object(IntList(o9257[21], i1372[21])))∧(i123[2] + 1* i636[21]))


(3) -> (4), if ((o8925[3]* o8925[4])∧(o9395[3]* java.lang.Object(IntList(o9395[4], i1395[4])))∧(java.lang.Object(ARRAY(i6[3], a14630data[3])) →* java.lang.Object(ARRAY(i6[4], a14630data[4])))∧(i636[3]* i636[4])∧(i1365[3]* i1315[4]))


(3) -> (6), if ((o9395[3]* o8924[6])∧(o8925[3]* o8925[6])∧(i636[3]* i636[6])∧(java.lang.Object(ARRAY(i6[3], a14630data[3])) →* java.lang.Object(ARRAY(i6[6], a14630data[6])))∧(i1365[3]* i1315[6]))


(3) -> (8), if ((o9395[3]* NULL)∧(o8925[3]* o8925[8])∧(i1365[3]* i1315[8])∧(i636[3]* i636[8])∧(java.lang.Object(ARRAY(i6[3], a14630data[3])) →* java.lang.Object(ARRAY(i6[8], a14630data[8]))))


(3) -> (13), if ((java.lang.Object(ARRAY(i6[3], a14630data[3])) →* java.lang.Object(ARRAY(i6[13], a14630data[13])))∧(i636[3]* i636[13])∧(o8925[3]* o8925[13])∧(i1365[3]* i1314[13])∧(o9395[3]* java.lang.Object(IntList(o9251[13], i1370[13]))))


(3) -> (15), if ((i636[3]* i636[15])∧(java.lang.Object(ARRAY(i6[3], a14630data[3])) →* java.lang.Object(ARRAY(i6[15], a14630data[15])))∧(o8925[3]* java.lang.Object(IntList(o9408[15], i1398[15])))∧(o9395[3]* java.lang.Object(IntList(o9408[15], i1398[15])))∧(i1365[3]* i1315[15]))


(3) -> (18), if ((o9395[3]* NULL)∧(i1365[3]* i1314[18])∧(i636[3]* i636[18])∧(o8925[3]* o8925[18])∧(java.lang.Object(ARRAY(i6[3], a14630data[3])) →* java.lang.Object(ARRAY(i6[18], a14630data[18]))))


(3) -> (21), if ((i1365[3]* i1314[21])∧(i636[3]* i636[21])∧(o9395[3]* java.lang.Object(IntList(o9257[21], i1372[21])))∧(o8925[3]* java.lang.Object(IntList(o9257[21], i1372[21])))∧(java.lang.Object(ARRAY(i6[3], a14630data[3])) →* java.lang.Object(ARRAY(i6[21], a14630data[21]))))


(4) -> (5), if ((i1315[4] > 1* TRUE)∧(java.lang.Object(IntList(o9395[4], i1395[4])) →* java.lang.Object(IntList(o9395[5], i1395[5])))∧(o8925[4]* o8925[5])∧(i1315[4]* i1315[5])∧(i636[4]* i636[5])∧(java.lang.Object(ARRAY(i6[4], a14630data[4])) →* java.lang.Object(ARRAY(i6[5], a14630data[5]))))


(5) -> (4), if ((java.lang.Object(ARRAY(i6[5], a14630data[5])) →* java.lang.Object(ARRAY(i6[4], a14630data[4])))∧(i1315[5] + -1* i1315[4])∧(o9395[5]* java.lang.Object(IntList(o9395[4], i1395[4])))∧(o8925[5]* o8925[4])∧(i636[5]* i636[4]))


(5) -> (6), if ((i1315[5] + -1* i1315[6])∧(java.lang.Object(ARRAY(i6[5], a14630data[5])) →* java.lang.Object(ARRAY(i6[6], a14630data[6])))∧(o8925[5]* o8925[6])∧(o9395[5]* o8924[6])∧(i636[5]* i636[6]))


(5) -> (8), if ((o8925[5]* o8925[8])∧(o9395[5]* NULL)∧(i1315[5] + -1* i1315[8])∧(i636[5]* i636[8])∧(java.lang.Object(ARRAY(i6[5], a14630data[5])) →* java.lang.Object(ARRAY(i6[8], a14630data[8]))))


(5) -> (13), if ((i1315[5] + -1* i1314[13])∧(o9395[5]* java.lang.Object(IntList(o9251[13], i1370[13])))∧(o8925[5]* o8925[13])∧(java.lang.Object(ARRAY(i6[5], a14630data[5])) →* java.lang.Object(ARRAY(i6[13], a14630data[13])))∧(i636[5]* i636[13]))


(5) -> (15), if ((java.lang.Object(ARRAY(i6[5], a14630data[5])) →* java.lang.Object(ARRAY(i6[15], a14630data[15])))∧(o9395[5]* java.lang.Object(IntList(o9408[15], i1398[15])))∧(o8925[5]* java.lang.Object(IntList(o9408[15], i1398[15])))∧(i636[5]* i636[15])∧(i1315[5] + -1* i1315[15]))


(5) -> (18), if ((i636[5]* i636[18])∧(o9395[5]* NULL)∧(java.lang.Object(ARRAY(i6[5], a14630data[5])) →* java.lang.Object(ARRAY(i6[18], a14630data[18])))∧(o8925[5]* o8925[18])∧(i1315[5] + -1* i1314[18]))


(5) -> (21), if ((java.lang.Object(ARRAY(i6[5], a14630data[5])) →* java.lang.Object(ARRAY(i6[21], a14630data[21])))∧(o9395[5]* java.lang.Object(IntList(o9257[21], i1372[21])))∧(i636[5]* i636[21])∧(o8925[5]* java.lang.Object(IntList(o9257[21], i1372[21])))∧(i1315[5] + -1* i1314[21]))


(6) -> (7), if ((i1315[6] > 0 && i1315[6] <= 1* TRUE)∧(i1315[6]* i1315[7])∧(o8925[6]* o8925[7])∧(java.lang.Object(ARRAY(i6[6], a14630data[6])) →* java.lang.Object(ARRAY(i6[7], a14630data[7])))∧(o8924[6]* o8924[7])∧(i636[6]* i636[7]))


(7) -> (12), if ((o8924[7]* java.lang.Object(IntList(o9251[12], i1370[12])))∧(java.lang.Object(ARRAY(i6[7], a14630data[7])) →* java.lang.Object(ARRAY(i6[12], a14630data[12])))∧(o8925[7]* o8925[12])∧(i636[7]* i636[12]))


(7) -> (17), if ((o8925[7]* o8925[17])∧(i636[7]* i636[17])∧(java.lang.Object(ARRAY(i6[7], a14630data[7])) →* java.lang.Object(ARRAY(i6[17], a14630data[17])))∧(o8924[7]* NULL))


(7) -> (20), if ((o8924[7]* java.lang.Object(IntList(o9257[20], i1372[20])))∧(o8925[7]* java.lang.Object(IntList(o9257[20], i1372[20])))∧(i636[7]* i636[20])∧(java.lang.Object(ARRAY(i6[7], a14630data[7])) →* java.lang.Object(ARRAY(i6[20], a14630data[20]))))


(8) -> (9), if ((i636[8]* i636[9])∧(i1315[8] > 1* TRUE)∧(o8925[8]* o8925[9])∧(java.lang.Object(ARRAY(i6[8], a14630data[8])) →* java.lang.Object(ARRAY(i6[9], a14630data[9])))∧(i1315[8]* i1315[9]))


(9) -> (12), if ((NULL* java.lang.Object(IntList(o9251[12], i1370[12])))∧(i636[9]* i636[12])∧(java.lang.Object(ARRAY(i6[9], a14630data[9])) →* java.lang.Object(ARRAY(i6[12], a14630data[12])))∧(o8925[9]* o8925[12]))


(9) -> (17), if ((o8925[9]* o8925[17])∧(java.lang.Object(ARRAY(i6[9], a14630data[9])) →* java.lang.Object(ARRAY(i6[17], a14630data[17])))∧(i636[9]* i636[17]))


(9) -> (20), if ((o8925[9]* java.lang.Object(IntList(o9257[20], i1372[20])))∧(i636[9]* i636[20])∧(NULL* java.lang.Object(IntList(o9257[20], i1372[20])))∧(java.lang.Object(ARRAY(i6[9], a14630data[9])) →* java.lang.Object(ARRAY(i6[20], a14630data[20]))))


(10) -> (0), if ((o8925[10]* java.lang.Object(IntList(o5524[0], i503[0])))∧(i636[10]* i123[0])∧(java.lang.Object(ARRAY(i6[10], a14630data[10])) →* java.lang.Object(ARRAY(i6[0], a8555data[0])))∧(i1370[10]* i500[0]))


(11) -> (0), if ((i636[11]* i123[0])∧(i1370[11]* i500[0])∧(java.lang.Object(ARRAY(i6[11], a14630data[11])) →* java.lang.Object(ARRAY(i6[0], a8555data[0])))∧(o8925[11]* java.lang.Object(IntList(o5524[0], i503[0]))))


(12) -> (0), if ((o8925[12]* java.lang.Object(IntList(o5524[0], i503[0])))∧(i636[12]* i123[0])∧(i1370[12]* i500[0])∧(java.lang.Object(ARRAY(i6[12], a14630data[12])) →* java.lang.Object(ARRAY(i6[0], a8555data[0]))))


(13) -> (14), if ((i1314[13]* i1314[14])∧(java.lang.Object(ARRAY(i6[13], a14630data[13])) →* java.lang.Object(ARRAY(i6[14], a14630data[14])))∧(o8925[13]* o8925[14])∧(i1314[13] <= 1* TRUE)∧(i636[13]* i636[14])∧(java.lang.Object(IntList(o9251[13], i1370[13])) →* java.lang.Object(IntList(o9251[14], i1370[14]))))


(14) -> (0), if ((i1370[14]* i500[0])∧(o8925[14]* java.lang.Object(IntList(o5524[0], i503[0])))∧(i636[14]* i123[0])∧(java.lang.Object(ARRAY(i6[14], a14630data[14])) →* java.lang.Object(ARRAY(i6[0], a8555data[0]))))


(15) -> (16), if ((java.lang.Object(IntList(o9408[15], i1398[15])) →* java.lang.Object(IntList(o9408[16], i1398[16])))∧(java.lang.Object(ARRAY(i6[15], a14630data[15])) →* java.lang.Object(ARRAY(i6[16], a14630data[16])))∧(i636[15]* i636[16])∧(i1315[15]* i1315[16])∧(i1315[15] > 1* TRUE))


(16) -> (3), if ((i1315[16] + -1* i1365[3])∧(java.lang.Object(IntList(o9408[16], i1398[16])) →* o8925[3])∧(o9408[16]* o9395[3])∧(java.lang.Object(ARRAY(i6[16], a14630data[16])) →* java.lang.Object(ARRAY(i6[3], a14630data[3])))∧(i636[16]* i636[3]))


(17) -> (10), if ((i636[17]* i636[10])∧(0* i1370[10])∧(java.lang.Object(ARRAY(i6[17], a14630data[17])) →* java.lang.Object(ARRAY(i6[10], a14630data[10])))∧(o8925[17]* o8925[10]))


(18) -> (19), if ((i1314[18] <= 1* TRUE)∧(i636[18]* i636[19])∧(java.lang.Object(ARRAY(i6[18], a14630data[18])) →* java.lang.Object(ARRAY(i6[19], a14630data[19])))∧(i1314[18]* i1314[19])∧(o8925[18]* o8925[19]))


(19) -> (10), if ((i636[19]* i636[10])∧(java.lang.Object(ARRAY(i6[19], a14630data[19])) →* java.lang.Object(ARRAY(i6[10], a14630data[10])))∧(o8925[19]* o8925[10])∧(0* i1370[10]))


(20) -> (11), if ((java.lang.Object(ARRAY(i6[20], a14630data[20])) →* java.lang.Object(ARRAY(i6[11], a14630data[11])))∧(i1372[20]* i1370[11])∧(java.lang.Object(IntList(o9257[20], i1372[20])) →* o8925[11])∧(i636[20]* i636[11]))


(21) -> (22), if ((java.lang.Object(IntList(o9257[21], i1372[21])) →* java.lang.Object(IntList(o9257[22], i1372[22])))∧(i1314[21]* i1314[22])∧(java.lang.Object(ARRAY(i6[21], a14630data[21])) →* java.lang.Object(ARRAY(i6[22], a14630data[22])))∧(i636[21]* i636[22])∧(i1314[21] <= 1* TRUE))


(22) -> (11), if ((i1372[22]* i1370[11])∧(i636[22]* i636[11])∧(java.lang.Object(IntList(o9257[22], i1372[22])) →* o8925[11])∧(java.lang.Object(ARRAY(i6[22], a14630data[22])) →* java.lang.Object(ARRAY(i6[11], a14630data[11]))))



The set Q consists of the following terms:
Load3666(java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(IntList(x3, x4)), x5)
Load3666ARR1(java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(IntList(x3, x4)), x5, java.lang.Object(java.lang.String(x6)))
Cond_Load3666ARR1(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(IntList(x3, x4)), x5, java.lang.Object(java.lang.String(x6)))
JMP5555(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, x5)
Cond_Load5182(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(IntList(x5, x6)))
Load5182(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, x5)
Cond_Load51821(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, x5)
Cond_Load51822(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4)
Store5482(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4)
Return5413(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4)
Load5214(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(IntList(x4, x5)))
Cond_Load51823(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(IntList(x5, x6)))
Cond_Load51824(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(IntList(x4, x5)))
Load5214(java.lang.Object(ARRAY(x0, x1)), x2, x3, NULL)
Cond_Load51825(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4)
Cond_Load51826(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(IntList(x4, x5)))

(12) 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.

(13) 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): LOAD3666(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0]) → LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))
(1): LOAD3666ARR1(java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1]))) → COND_LOAD3666ARR1(i123[1] > 0 && i123[1] < i6[1] && i500[1] > 0 && i123[1] + 1 > 0, java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1])))
(2): COND_LOAD3666ARR1(TRUE, java.lang.Object(ARRAY(i6[2], a8555data[2])), i123[2], java.lang.Object(IntList(o5524[2], i503[2])), i500[2], java.lang.Object(java.lang.String(i801[2]))) → LOAD5182(java.lang.Object(ARRAY(i6[2], a8555data[2])), i123[2] + 1, o5524[2], i801[2], o5524[2])
(3): JMP5555'(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3]) → LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])
(4): LOAD5182(java.lang.Object(ARRAY(i6[4], a14630data[4])), i636[4], o8925[4], i1315[4], java.lang.Object(IntList(o9395[4], i1395[4]))) → COND_LOAD5182(i1315[4] > 1, java.lang.Object(ARRAY(i6[4], a14630data[4])), i636[4], o8925[4], i1315[4], java.lang.Object(IntList(o9395[4], i1395[4])))
(5): COND_LOAD5182(TRUE, java.lang.Object(ARRAY(i6[5], a14630data[5])), i636[5], o8925[5], i1315[5], java.lang.Object(IntList(o9395[5], i1395[5]))) → LOAD5182(java.lang.Object(ARRAY(i6[5], a14630data[5])), i636[5], o8925[5], i1315[5] + -1, o9395[5])
(6): LOAD5182(java.lang.Object(ARRAY(i6[6], a14630data[6])), i636[6], o8925[6], i1315[6], o8924[6]) → COND_LOAD51821(i1315[6] > 0 && i1315[6] <= 1, java.lang.Object(ARRAY(i6[6], a14630data[6])), i636[6], o8925[6], i1315[6], o8924[6])
(7): COND_LOAD51821(TRUE, java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], i1315[7], o8924[7]) → LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7])
(8): LOAD5182(java.lang.Object(ARRAY(i6[8], a14630data[8])), i636[8], o8925[8], i1315[8], NULL) → COND_LOAD51822(i1315[8] > 1, java.lang.Object(ARRAY(i6[8], a14630data[8])), i636[8], o8925[8], i1315[8])
(9): COND_LOAD51822(TRUE, java.lang.Object(ARRAY(i6[9], a14630data[9])), i636[9], o8925[9], i1315[9]) → LOAD5214(java.lang.Object(ARRAY(i6[9], a14630data[9])), i636[9], o8925[9], NULL)
(10): STORE5482(java.lang.Object(ARRAY(i6[10], a14630data[10])), i636[10], o8925[10], i1370[10]) → LOAD3666(java.lang.Object(ARRAY(i6[10], a14630data[10])), i636[10], o8925[10], i1370[10])
(11): RETURN5413(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], o8925[11], i1370[11]) → LOAD3666(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], o8925[11], i1370[11])
(12): LOAD5214(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], o8925[12], java.lang.Object(IntList(o9251[12], i1370[12]))) → LOAD3666(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], o8925[12], i1370[12])
(13): LOAD5182(java.lang.Object(ARRAY(i6[13], a14630data[13])), i636[13], o8925[13], i1314[13], java.lang.Object(IntList(o9251[13], i1370[13]))) → COND_LOAD51823(i1314[13] <= 1, java.lang.Object(ARRAY(i6[13], a14630data[13])), i636[13], o8925[13], i1314[13], java.lang.Object(IntList(o9251[13], i1370[13])))
(14): COND_LOAD51823(TRUE, java.lang.Object(ARRAY(i6[14], a14630data[14])), i636[14], o8925[14], i1314[14], java.lang.Object(IntList(o9251[14], i1370[14]))) → LOAD3666(java.lang.Object(ARRAY(i6[14], a14630data[14])), i636[14], o8925[14], i1370[14])
(15): LOAD5182(java.lang.Object(ARRAY(i6[15], a14630data[15])), i636[15], java.lang.Object(IntList(o9408[15], i1398[15])), i1315[15], java.lang.Object(IntList(o9408[15], i1398[15]))) → COND_LOAD51824(i1315[15] > 1, java.lang.Object(ARRAY(i6[15], a14630data[15])), i636[15], i1315[15], java.lang.Object(IntList(o9408[15], i1398[15])))
(16): COND_LOAD51824(TRUE, java.lang.Object(ARRAY(i6[16], a14630data[16])), i636[16], i1315[16], java.lang.Object(IntList(o9408[16], i1398[16]))) → JMP5555'(java.lang.Object(ARRAY(i6[16], a14630data[16])), i636[16], java.lang.Object(IntList(o9408[16], i1398[16])), i1315[16] + -1, o9408[16])
(17): LOAD5214(java.lang.Object(ARRAY(i6[17], a14630data[17])), i636[17], o8925[17], NULL) → STORE5482(java.lang.Object(ARRAY(i6[17], a14630data[17])), i636[17], o8925[17], 0)
(18): LOAD5182(java.lang.Object(ARRAY(i6[18], a14630data[18])), i636[18], o8925[18], i1314[18], NULL) → COND_LOAD51825(i1314[18] <= 1, java.lang.Object(ARRAY(i6[18], a14630data[18])), i636[18], o8925[18], i1314[18])
(19): COND_LOAD51825(TRUE, java.lang.Object(ARRAY(i6[19], a14630data[19])), i636[19], o8925[19], i1314[19]) → STORE5482(java.lang.Object(ARRAY(i6[19], a14630data[19])), i636[19], o8925[19], 0)
(20): LOAD5214(java.lang.Object(ARRAY(i6[20], a14630data[20])), i636[20], java.lang.Object(IntList(o9257[20], i1372[20])), java.lang.Object(IntList(o9257[20], i1372[20]))) → RETURN5413(java.lang.Object(ARRAY(i6[20], a14630data[20])), i636[20], java.lang.Object(IntList(o9257[20], i1372[20])), i1372[20])
(21): LOAD5182(java.lang.Object(ARRAY(i6[21], a14630data[21])), i636[21], java.lang.Object(IntList(o9257[21], i1372[21])), i1314[21], java.lang.Object(IntList(o9257[21], i1372[21]))) → COND_LOAD51826(i1314[21] <= 1, java.lang.Object(ARRAY(i6[21], a14630data[21])), i636[21], i1314[21], java.lang.Object(IntList(o9257[21], i1372[21])))
(22): COND_LOAD51826(TRUE, java.lang.Object(ARRAY(i6[22], a14630data[22])), i636[22], i1314[22], java.lang.Object(IntList(o9257[22], i1372[22]))) → RETURN5413(java.lang.Object(ARRAY(i6[22], a14630data[22])), i636[22], java.lang.Object(IntList(o9257[22], i1372[22])), i1372[22])

(0) -> (1), if ((i500[0]* i500[1])∧(java.lang.Object(ARRAY(i6[0], a8555data[0])) →* java.lang.Object(ARRAY(i6[1], a8555data[1])))∧(i123[0]* i123[1])∧(java.lang.Object(IntList(o5524[0], i503[0])) →* java.lang.Object(IntList(o5524[1], i503[1])))∧(java.lang.Object(java.lang.String(i801[0])) →* java.lang.Object(java.lang.String(i801[1]))))


(1) -> (2), if ((java.lang.Object(java.lang.String(i801[1])) →* java.lang.Object(java.lang.String(i801[2])))∧(i123[1] > 0 && i123[1] < i6[1] && i500[1] > 0 && i123[1] + 1 > 0* TRUE)∧(java.lang.Object(ARRAY(i6[1], a8555data[1])) →* java.lang.Object(ARRAY(i6[2], a8555data[2])))∧(i123[1]* i123[2])∧(i500[1]* i500[2])∧(java.lang.Object(IntList(o5524[1], i503[1])) →* java.lang.Object(IntList(o5524[2], i503[2]))))


(2) -> (4), if ((i801[2]* i1315[4])∧(o5524[2]* java.lang.Object(IntList(o9395[4], i1395[4])))∧(i123[2] + 1* i636[4])∧(java.lang.Object(ARRAY(i6[2], a8555data[2])) →* java.lang.Object(ARRAY(i6[4], a14630data[4])))∧(o5524[2]* o8925[4]))


(2) -> (6), if ((o5524[2]* o8924[6])∧(java.lang.Object(ARRAY(i6[2], a8555data[2])) →* java.lang.Object(ARRAY(i6[6], a14630data[6])))∧(o5524[2]* o8925[6])∧(i801[2]* i1315[6])∧(i123[2] + 1* i636[6]))


(2) -> (8), if ((o5524[2]* o8925[8])∧(java.lang.Object(ARRAY(i6[2], a8555data[2])) →* java.lang.Object(ARRAY(i6[8], a14630data[8])))∧(o5524[2]* NULL)∧(i801[2]* i1315[8])∧(i123[2] + 1* i636[8]))


(2) -> (13), if ((o5524[2]* java.lang.Object(IntList(o9251[13], i1370[13])))∧(i801[2]* i1314[13])∧(o5524[2]* o8925[13])∧(java.lang.Object(ARRAY(i6[2], a8555data[2])) →* java.lang.Object(ARRAY(i6[13], a14630data[13])))∧(i123[2] + 1* i636[13]))


(2) -> (15), if ((i123[2] + 1* i636[15])∧(java.lang.Object(ARRAY(i6[2], a8555data[2])) →* java.lang.Object(ARRAY(i6[15], a14630data[15])))∧(i801[2]* i1315[15])∧(o5524[2]* java.lang.Object(IntList(o9408[15], i1398[15]))))


(2) -> (18), if ((o5524[2]* NULL)∧(o5524[2]* o8925[18])∧(i801[2]* i1314[18])∧(i123[2] + 1* i636[18])∧(java.lang.Object(ARRAY(i6[2], a8555data[2])) →* java.lang.Object(ARRAY(i6[18], a14630data[18]))))


(2) -> (21), if ((i801[2]* i1314[21])∧(java.lang.Object(ARRAY(i6[2], a8555data[2])) →* java.lang.Object(ARRAY(i6[21], a14630data[21])))∧(o5524[2]* java.lang.Object(IntList(o9257[21], i1372[21])))∧(i123[2] + 1* i636[21]))


(3) -> (4), if ((o8925[3]* o8925[4])∧(o9395[3]* java.lang.Object(IntList(o9395[4], i1395[4])))∧(java.lang.Object(ARRAY(i6[3], a14630data[3])) →* java.lang.Object(ARRAY(i6[4], a14630data[4])))∧(i636[3]* i636[4])∧(i1365[3]* i1315[4]))


(3) -> (6), if ((o9395[3]* o8924[6])∧(o8925[3]* o8925[6])∧(i636[3]* i636[6])∧(java.lang.Object(ARRAY(i6[3], a14630data[3])) →* java.lang.Object(ARRAY(i6[6], a14630data[6])))∧(i1365[3]* i1315[6]))


(3) -> (8), if ((o9395[3]* NULL)∧(o8925[3]* o8925[8])∧(i1365[3]* i1315[8])∧(i636[3]* i636[8])∧(java.lang.Object(ARRAY(i6[3], a14630data[3])) →* java.lang.Object(ARRAY(i6[8], a14630data[8]))))


(3) -> (13), if ((java.lang.Object(ARRAY(i6[3], a14630data[3])) →* java.lang.Object(ARRAY(i6[13], a14630data[13])))∧(i636[3]* i636[13])∧(o8925[3]* o8925[13])∧(i1365[3]* i1314[13])∧(o9395[3]* java.lang.Object(IntList(o9251[13], i1370[13]))))


(3) -> (15), if ((i636[3]* i636[15])∧(java.lang.Object(ARRAY(i6[3], a14630data[3])) →* java.lang.Object(ARRAY(i6[15], a14630data[15])))∧(o8925[3]* java.lang.Object(IntList(o9408[15], i1398[15])))∧(o9395[3]* java.lang.Object(IntList(o9408[15], i1398[15])))∧(i1365[3]* i1315[15]))


(3) -> (18), if ((o9395[3]* NULL)∧(i1365[3]* i1314[18])∧(i636[3]* i636[18])∧(o8925[3]* o8925[18])∧(java.lang.Object(ARRAY(i6[3], a14630data[3])) →* java.lang.Object(ARRAY(i6[18], a14630data[18]))))


(3) -> (21), if ((i1365[3]* i1314[21])∧(i636[3]* i636[21])∧(o9395[3]* java.lang.Object(IntList(o9257[21], i1372[21])))∧(o8925[3]* java.lang.Object(IntList(o9257[21], i1372[21])))∧(java.lang.Object(ARRAY(i6[3], a14630data[3])) →* java.lang.Object(ARRAY(i6[21], a14630data[21]))))


(4) -> (5), if ((i1315[4] > 1* TRUE)∧(java.lang.Object(IntList(o9395[4], i1395[4])) →* java.lang.Object(IntList(o9395[5], i1395[5])))∧(o8925[4]* o8925[5])∧(i1315[4]* i1315[5])∧(i636[4]* i636[5])∧(java.lang.Object(ARRAY(i6[4], a14630data[4])) →* java.lang.Object(ARRAY(i6[5], a14630data[5]))))


(5) -> (4), if ((java.lang.Object(ARRAY(i6[5], a14630data[5])) →* java.lang.Object(ARRAY(i6[4], a14630data[4])))∧(i1315[5] + -1* i1315[4])∧(o9395[5]* java.lang.Object(IntList(o9395[4], i1395[4])))∧(o8925[5]* o8925[4])∧(i636[5]* i636[4]))


(5) -> (6), if ((i1315[5] + -1* i1315[6])∧(java.lang.Object(ARRAY(i6[5], a14630data[5])) →* java.lang.Object(ARRAY(i6[6], a14630data[6])))∧(o8925[5]* o8925[6])∧(o9395[5]* o8924[6])∧(i636[5]* i636[6]))


(5) -> (8), if ((o8925[5]* o8925[8])∧(o9395[5]* NULL)∧(i1315[5] + -1* i1315[8])∧(i636[5]* i636[8])∧(java.lang.Object(ARRAY(i6[5], a14630data[5])) →* java.lang.Object(ARRAY(i6[8], a14630data[8]))))


(5) -> (13), if ((i1315[5] + -1* i1314[13])∧(o9395[5]* java.lang.Object(IntList(o9251[13], i1370[13])))∧(o8925[5]* o8925[13])∧(java.lang.Object(ARRAY(i6[5], a14630data[5])) →* java.lang.Object(ARRAY(i6[13], a14630data[13])))∧(i636[5]* i636[13]))


(5) -> (15), if ((java.lang.Object(ARRAY(i6[5], a14630data[5])) →* java.lang.Object(ARRAY(i6[15], a14630data[15])))∧(o9395[5]* java.lang.Object(IntList(o9408[15], i1398[15])))∧(o8925[5]* java.lang.Object(IntList(o9408[15], i1398[15])))∧(i636[5]* i636[15])∧(i1315[5] + -1* i1315[15]))


(5) -> (18), if ((i636[5]* i636[18])∧(o9395[5]* NULL)∧(java.lang.Object(ARRAY(i6[5], a14630data[5])) →* java.lang.Object(ARRAY(i6[18], a14630data[18])))∧(o8925[5]* o8925[18])∧(i1315[5] + -1* i1314[18]))


(5) -> (21), if ((java.lang.Object(ARRAY(i6[5], a14630data[5])) →* java.lang.Object(ARRAY(i6[21], a14630data[21])))∧(o9395[5]* java.lang.Object(IntList(o9257[21], i1372[21])))∧(i636[5]* i636[21])∧(o8925[5]* java.lang.Object(IntList(o9257[21], i1372[21])))∧(i1315[5] + -1* i1314[21]))


(6) -> (7), if ((i1315[6] > 0 && i1315[6] <= 1* TRUE)∧(i1315[6]* i1315[7])∧(o8925[6]* o8925[7])∧(java.lang.Object(ARRAY(i6[6], a14630data[6])) →* java.lang.Object(ARRAY(i6[7], a14630data[7])))∧(o8924[6]* o8924[7])∧(i636[6]* i636[7]))


(7) -> (12), if ((o8924[7]* java.lang.Object(IntList(o9251[12], i1370[12])))∧(java.lang.Object(ARRAY(i6[7], a14630data[7])) →* java.lang.Object(ARRAY(i6[12], a14630data[12])))∧(o8925[7]* o8925[12])∧(i636[7]* i636[12]))


(7) -> (17), if ((o8925[7]* o8925[17])∧(i636[7]* i636[17])∧(java.lang.Object(ARRAY(i6[7], a14630data[7])) →* java.lang.Object(ARRAY(i6[17], a14630data[17])))∧(o8924[7]* NULL))


(7) -> (20), if ((o8924[7]* java.lang.Object(IntList(o9257[20], i1372[20])))∧(o8925[7]* java.lang.Object(IntList(o9257[20], i1372[20])))∧(i636[7]* i636[20])∧(java.lang.Object(ARRAY(i6[7], a14630data[7])) →* java.lang.Object(ARRAY(i6[20], a14630data[20]))))


(8) -> (9), if ((i636[8]* i636[9])∧(i1315[8] > 1* TRUE)∧(o8925[8]* o8925[9])∧(java.lang.Object(ARRAY(i6[8], a14630data[8])) →* java.lang.Object(ARRAY(i6[9], a14630data[9])))∧(i1315[8]* i1315[9]))


(9) -> (12), if ((NULL* java.lang.Object(IntList(o9251[12], i1370[12])))∧(i636[9]* i636[12])∧(java.lang.Object(ARRAY(i6[9], a14630data[9])) →* java.lang.Object(ARRAY(i6[12], a14630data[12])))∧(o8925[9]* o8925[12]))


(9) -> (17), if ((o8925[9]* o8925[17])∧(java.lang.Object(ARRAY(i6[9], a14630data[9])) →* java.lang.Object(ARRAY(i6[17], a14630data[17])))∧(i636[9]* i636[17]))


(9) -> (20), if ((o8925[9]* java.lang.Object(IntList(o9257[20], i1372[20])))∧(i636[9]* i636[20])∧(NULL* java.lang.Object(IntList(o9257[20], i1372[20])))∧(java.lang.Object(ARRAY(i6[9], a14630data[9])) →* java.lang.Object(ARRAY(i6[20], a14630data[20]))))


(10) -> (0), if ((o8925[10]* java.lang.Object(IntList(o5524[0], i503[0])))∧(i636[10]* i123[0])∧(java.lang.Object(ARRAY(i6[10], a14630data[10])) →* java.lang.Object(ARRAY(i6[0], a8555data[0])))∧(i1370[10]* i500[0]))


(11) -> (0), if ((i636[11]* i123[0])∧(i1370[11]* i500[0])∧(java.lang.Object(ARRAY(i6[11], a14630data[11])) →* java.lang.Object(ARRAY(i6[0], a8555data[0])))∧(o8925[11]* java.lang.Object(IntList(o5524[0], i503[0]))))


(12) -> (0), if ((o8925[12]* java.lang.Object(IntList(o5524[0], i503[0])))∧(i636[12]* i123[0])∧(i1370[12]* i500[0])∧(java.lang.Object(ARRAY(i6[12], a14630data[12])) →* java.lang.Object(ARRAY(i6[0], a8555data[0]))))


(13) -> (14), if ((i1314[13]* i1314[14])∧(java.lang.Object(ARRAY(i6[13], a14630data[13])) →* java.lang.Object(ARRAY(i6[14], a14630data[14])))∧(o8925[13]* o8925[14])∧(i1314[13] <= 1* TRUE)∧(i636[13]* i636[14])∧(java.lang.Object(IntList(o9251[13], i1370[13])) →* java.lang.Object(IntList(o9251[14], i1370[14]))))


(14) -> (0), if ((i1370[14]* i500[0])∧(o8925[14]* java.lang.Object(IntList(o5524[0], i503[0])))∧(i636[14]* i123[0])∧(java.lang.Object(ARRAY(i6[14], a14630data[14])) →* java.lang.Object(ARRAY(i6[0], a8555data[0]))))


(15) -> (16), if ((java.lang.Object(IntList(o9408[15], i1398[15])) →* java.lang.Object(IntList(o9408[16], i1398[16])))∧(java.lang.Object(ARRAY(i6[15], a14630data[15])) →* java.lang.Object(ARRAY(i6[16], a14630data[16])))∧(i636[15]* i636[16])∧(i1315[15]* i1315[16])∧(i1315[15] > 1* TRUE))


(16) -> (3), if ((i1315[16] + -1* i1365[3])∧(java.lang.Object(IntList(o9408[16], i1398[16])) →* o8925[3])∧(o9408[16]* o9395[3])∧(java.lang.Object(ARRAY(i6[16], a14630data[16])) →* java.lang.Object(ARRAY(i6[3], a14630data[3])))∧(i636[16]* i636[3]))


(17) -> (10), if ((i636[17]* i636[10])∧(0* i1370[10])∧(java.lang.Object(ARRAY(i6[17], a14630data[17])) →* java.lang.Object(ARRAY(i6[10], a14630data[10])))∧(o8925[17]* o8925[10]))


(18) -> (19), if ((i1314[18] <= 1* TRUE)∧(i636[18]* i636[19])∧(java.lang.Object(ARRAY(i6[18], a14630data[18])) →* java.lang.Object(ARRAY(i6[19], a14630data[19])))∧(i1314[18]* i1314[19])∧(o8925[18]* o8925[19]))


(19) -> (10), if ((i636[19]* i636[10])∧(java.lang.Object(ARRAY(i6[19], a14630data[19])) →* java.lang.Object(ARRAY(i6[10], a14630data[10])))∧(o8925[19]* o8925[10])∧(0* i1370[10]))


(20) -> (11), if ((java.lang.Object(ARRAY(i6[20], a14630data[20])) →* java.lang.Object(ARRAY(i6[11], a14630data[11])))∧(i1372[20]* i1370[11])∧(java.lang.Object(IntList(o9257[20], i1372[20])) →* o8925[11])∧(i636[20]* i636[11]))


(21) -> (22), if ((java.lang.Object(IntList(o9257[21], i1372[21])) →* java.lang.Object(IntList(o9257[22], i1372[22])))∧(i1314[21]* i1314[22])∧(java.lang.Object(ARRAY(i6[21], a14630data[21])) →* java.lang.Object(ARRAY(i6[22], a14630data[22])))∧(i636[21]* i636[22])∧(i1314[21] <= 1* TRUE))


(22) -> (11), if ((i1372[22]* i1370[11])∧(i636[22]* i636[11])∧(java.lang.Object(IntList(o9257[22], i1372[22])) →* o8925[11])∧(java.lang.Object(ARRAY(i6[22], a14630data[22])) →* java.lang.Object(ARRAY(i6[11], a14630data[11]))))



The set Q consists of the following terms:
Load3666(java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(IntList(x3, x4)), x5)
Load3666ARR1(java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(IntList(x3, x4)), x5, java.lang.Object(java.lang.String(x6)))
Cond_Load3666ARR1(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(IntList(x3, x4)), x5, java.lang.Object(java.lang.String(x6)))
JMP5555(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, x5)
Cond_Load5182(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(IntList(x5, x6)))
Load5182(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, x5)
Cond_Load51821(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, x5)
Cond_Load51822(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4)
Store5482(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4)
Return5413(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4)
Load5214(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(IntList(x4, x5)))
Cond_Load51823(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(IntList(x5, x6)))
Cond_Load51824(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(IntList(x4, x5)))
Load5214(java.lang.Object(ARRAY(x0, x1)), x2, x3, NULL)
Cond_Load51825(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4)
Cond_Load51826(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(IntList(x4, x5)))

(14) ItpfGraphProof (EQUIVALENT transformation)

Applied rule ItpfICap [ICap]

(15) 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): LOAD3666(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0]) → LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))
(1): LOAD3666ARR1(java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1]))) → COND_LOAD3666ARR1(i123[1] > 0 && i123[1] < i6[1] && i500[1] > 0 && i123[1] + 1 > 0, java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1])))
(2): COND_LOAD3666ARR1(TRUE, java.lang.Object(ARRAY(i6[2], a8555data[2])), i123[2], java.lang.Object(IntList(o5524[2], i503[2])), i500[2], java.lang.Object(java.lang.String(i801[2]))) → LOAD5182(java.lang.Object(ARRAY(i6[2], a8555data[2])), i123[2] + 1, o5524[2], i801[2], o5524[2])
(3): JMP5555'(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3]) → LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])
(4): LOAD5182(java.lang.Object(ARRAY(i6[4], a14630data[4])), i636[4], o8925[4], i1315[4], java.lang.Object(IntList(o9395[4], i1395[4]))) → COND_LOAD5182(i1315[4] > 1, java.lang.Object(ARRAY(i6[4], a14630data[4])), i636[4], o8925[4], i1315[4], java.lang.Object(IntList(o9395[4], i1395[4])))
(5): COND_LOAD5182(TRUE, java.lang.Object(ARRAY(i6[5], a14630data[5])), i636[5], o8925[5], i1315[5], java.lang.Object(IntList(o9395[5], i1395[5]))) → LOAD5182(java.lang.Object(ARRAY(i6[5], a14630data[5])), i636[5], o8925[5], i1315[5] + -1, o9395[5])
(6): LOAD5182(java.lang.Object(ARRAY(i6[6], a14630data[6])), i636[6], o8925[6], i1315[6], o8924[6]) → COND_LOAD51821(i1315[6] > 0 && i1315[6] <= 1, java.lang.Object(ARRAY(i6[6], a14630data[6])), i636[6], o8925[6], i1315[6], o8924[6])
(7): COND_LOAD51821(TRUE, java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], i1315[7], o8924[7]) → LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7])
(8): LOAD5182(java.lang.Object(ARRAY(i6[8], a14630data[8])), i636[8], o8925[8], i1315[8], NULL) → COND_LOAD51822(i1315[8] > 1, java.lang.Object(ARRAY(i6[8], a14630data[8])), i636[8], o8925[8], i1315[8])
(9): COND_LOAD51822(TRUE, java.lang.Object(ARRAY(i6[9], a14630data[9])), i636[9], o8925[9], i1315[9]) → LOAD5214(java.lang.Object(ARRAY(i6[9], a14630data[9])), i636[9], o8925[9], NULL)
(10): STORE5482(java.lang.Object(ARRAY(i6[10], a14630data[10])), i636[10], o8925[10], i1370[10]) → LOAD3666(java.lang.Object(ARRAY(i6[10], a14630data[10])), i636[10], o8925[10], i1370[10])
(11): RETURN5413(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], o8925[11], i1370[11]) → LOAD3666(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], o8925[11], i1370[11])
(12): LOAD5214(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], o8925[12], java.lang.Object(IntList(o9251[12], i1370[12]))) → LOAD3666(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], o8925[12], i1370[12])
(13): LOAD5182(java.lang.Object(ARRAY(i6[13], a14630data[13])), i636[13], o8925[13], i1314[13], java.lang.Object(IntList(o9251[13], i1370[13]))) → COND_LOAD51823(i1314[13] <= 1, java.lang.Object(ARRAY(i6[13], a14630data[13])), i636[13], o8925[13], i1314[13], java.lang.Object(IntList(o9251[13], i1370[13])))
(14): COND_LOAD51823(TRUE, java.lang.Object(ARRAY(i6[14], a14630data[14])), i636[14], o8925[14], i1314[14], java.lang.Object(IntList(o9251[14], i1370[14]))) → LOAD3666(java.lang.Object(ARRAY(i6[14], a14630data[14])), i636[14], o8925[14], i1370[14])
(15): LOAD5182(java.lang.Object(ARRAY(i6[15], a14630data[15])), i636[15], java.lang.Object(IntList(o9408[15], i1398[15])), i1315[15], java.lang.Object(IntList(o9408[15], i1398[15]))) → COND_LOAD51824(i1315[15] > 1, java.lang.Object(ARRAY(i6[15], a14630data[15])), i636[15], i1315[15], java.lang.Object(IntList(o9408[15], i1398[15])))
(16): COND_LOAD51824(TRUE, java.lang.Object(ARRAY(i6[16], a14630data[16])), i636[16], i1315[16], java.lang.Object(IntList(o9408[16], i1398[16]))) → JMP5555'(java.lang.Object(ARRAY(i6[16], a14630data[16])), i636[16], java.lang.Object(IntList(o9408[16], i1398[16])), i1315[16] + -1, o9408[16])
(17): LOAD5214(java.lang.Object(ARRAY(i6[17], a14630data[17])), i636[17], o8925[17], NULL) → STORE5482(java.lang.Object(ARRAY(i6[17], a14630data[17])), i636[17], o8925[17], 0)
(18): LOAD5182(java.lang.Object(ARRAY(i6[18], a14630data[18])), i636[18], o8925[18], i1314[18], NULL) → COND_LOAD51825(i1314[18] <= 1, java.lang.Object(ARRAY(i6[18], a14630data[18])), i636[18], o8925[18], i1314[18])
(19): COND_LOAD51825(TRUE, java.lang.Object(ARRAY(i6[19], a14630data[19])), i636[19], o8925[19], i1314[19]) → STORE5482(java.lang.Object(ARRAY(i6[19], a14630data[19])), i636[19], o8925[19], 0)
(20): LOAD5214(java.lang.Object(ARRAY(i6[20], a14630data[20])), i636[20], java.lang.Object(IntList(o9257[20], i1372[20])), java.lang.Object(IntList(o9257[20], i1372[20]))) → RETURN5413(java.lang.Object(ARRAY(i6[20], a14630data[20])), i636[20], java.lang.Object(IntList(o9257[20], i1372[20])), i1372[20])
(21): LOAD5182(java.lang.Object(ARRAY(i6[21], a14630data[21])), i636[21], java.lang.Object(IntList(o9257[21], i1372[21])), i1314[21], java.lang.Object(IntList(o9257[21], i1372[21]))) → COND_LOAD51826(i1314[21] <= 1, java.lang.Object(ARRAY(i6[21], a14630data[21])), i636[21], i1314[21], java.lang.Object(IntList(o9257[21], i1372[21])))
(22): COND_LOAD51826(TRUE, java.lang.Object(ARRAY(i6[22], a14630data[22])), i636[22], i1314[22], java.lang.Object(IntList(o9257[22], i1372[22]))) → RETURN5413(java.lang.Object(ARRAY(i6[22], a14630data[22])), i636[22], java.lang.Object(IntList(o9257[22], i1372[22])), i1372[22])

(0) -> (1), if ((i500[0]* i500[1])∧((i6[0]* i6[1])∧(a8555data[0]* a8555data[1]))∧(i123[0]* i123[1])∧((o5524[0]* o5524[1])∧(i503[0]* i503[1]))∧((i801[0]* i801[1])))


(1) -> (2), if (((i801[1]* i801[2]))∧(i123[1] > 0 && i123[1] < i6[1] && i500[1] > 0 && i123[1] + 1 > 0* TRUE)∧((i6[1]* i6[2])∧(a8555data[1]* a8555data[2]))∧(i123[1]* i123[2])∧(i500[1]* i500[2])∧((o5524[1]* o5524[2])∧(i503[1]* i503[2])))


(2) -> (4), if ((i801[2]* i1315[4])∧(o5524[2]* java.lang.Object(IntList(o9395[4], i1395[4])))∧(i123[2] + 1* i636[4])∧((i6[2]* i6[4])∧(a8555data[2]* a14630data[4]))∧(o5524[2]* o8925[4]))


(2) -> (6), if ((o5524[2]* o8924[6])∧((i6[2]* i6[6])∧(a8555data[2]* a14630data[6]))∧(o5524[2]* o8925[6])∧(i801[2]* i1315[6])∧(i123[2] + 1* i636[6]))


(2) -> (8), if ((o5524[2]* o8925[8])∧((i6[2]* i6[8])∧(a8555data[2]* a14630data[8]))∧(o5524[2]* NULL)∧(i801[2]* i1315[8])∧(i123[2] + 1* i636[8]))


(2) -> (13), if ((o5524[2]* java.lang.Object(IntList(o9251[13], i1370[13])))∧(i801[2]* i1314[13])∧(o5524[2]* o8925[13])∧((i6[2]* i6[13])∧(a8555data[2]* a14630data[13]))∧(i123[2] + 1* i636[13]))


(2) -> (15), if ((i123[2] + 1* i636[15])∧((i6[2]* i6[15])∧(a8555data[2]* a14630data[15]))∧(i801[2]* i1315[15])∧(o5524[2]* java.lang.Object(IntList(o9408[15], i1398[15]))))


(2) -> (18), if ((o5524[2]* NULL)∧(o5524[2]* o8925[18])∧(i801[2]* i1314[18])∧(i123[2] + 1* i636[18])∧((i6[2]* i6[18])∧(a8555data[2]* a14630data[18])))


(2) -> (21), if ((i801[2]* i1314[21])∧((i6[2]* i6[21])∧(a8555data[2]* a14630data[21]))∧(o5524[2]* java.lang.Object(IntList(o9257[21], i1372[21])))∧(i123[2] + 1* i636[21]))


(3) -> (4), if ((o8925[3]* o8925[4])∧(o9395[3]* java.lang.Object(IntList(o9395[4], i1395[4])))∧((i6[3]* i6[4])∧(a14630data[3]* a14630data[4]))∧(i636[3]* i636[4])∧(i1365[3]* i1315[4]))


(3) -> (6), if ((o9395[3]* o8924[6])∧(o8925[3]* o8925[6])∧(i636[3]* i636[6])∧((i6[3]* i6[6])∧(a14630data[3]* a14630data[6]))∧(i1365[3]* i1315[6]))


(3) -> (8), if ((o9395[3]* NULL)∧(o8925[3]* o8925[8])∧(i1365[3]* i1315[8])∧(i636[3]* i636[8])∧((i6[3]* i6[8])∧(a14630data[3]* a14630data[8])))


(3) -> (13), if (((i6[3]* i6[13])∧(a14630data[3]* a14630data[13]))∧(i636[3]* i636[13])∧(o8925[3]* o8925[13])∧(i1365[3]* i1314[13])∧(o9395[3]* java.lang.Object(IntList(o9251[13], i1370[13]))))


(3) -> (15), if ((i636[3]* i636[15])∧((i6[3]* i6[15])∧(a14630data[3]* a14630data[15]))∧(o8925[3]* java.lang.Object(IntList(o9408[15], i1398[15])))∧(o9395[3]* java.lang.Object(IntList(o9408[15], i1398[15])))∧(i1365[3]* i1315[15]))


(3) -> (18), if ((o9395[3]* NULL)∧(i1365[3]* i1314[18])∧(i636[3]* i636[18])∧(o8925[3]* o8925[18])∧((i6[3]* i6[18])∧(a14630data[3]* a14630data[18])))


(3) -> (21), if ((i1365[3]* i1314[21])∧(i636[3]* i636[21])∧(o9395[3]* java.lang.Object(IntList(o9257[21], i1372[21])))∧(o8925[3]* java.lang.Object(IntList(o9257[21], i1372[21])))∧((i6[3]* i6[21])∧(a14630data[3]* a14630data[21])))


(4) -> (5), if ((i1315[4] > 1* TRUE)∧((o9395[4]* o9395[5])∧(i1395[4]* i1395[5]))∧(o8925[4]* o8925[5])∧(i1315[4]* i1315[5])∧(i636[4]* i636[5])∧((i6[4]* i6[5])∧(a14630data[4]* a14630data[5])))


(5) -> (4), if (((i6[5]* i6[4])∧(a14630data[5]* a14630data[4]))∧(i1315[5] + -1* i1315[4])∧(o9395[5]* java.lang.Object(IntList(o9395[4], i1395[4])))∧(o8925[5]* o8925[4])∧(i636[5]* i636[4]))


(5) -> (6), if ((i1315[5] + -1* i1315[6])∧((i6[5]* i6[6])∧(a14630data[5]* a14630data[6]))∧(o8925[5]* o8925[6])∧(o9395[5]* o8924[6])∧(i636[5]* i636[6]))


(5) -> (8), if ((o8925[5]* o8925[8])∧(o9395[5]* NULL)∧(i1315[5] + -1* i1315[8])∧(i636[5]* i636[8])∧((i6[5]* i6[8])∧(a14630data[5]* a14630data[8])))


(5) -> (13), if ((i1315[5] + -1* i1314[13])∧(o9395[5]* java.lang.Object(IntList(o9251[13], i1370[13])))∧(o8925[5]* o8925[13])∧((i6[5]* i6[13])∧(a14630data[5]* a14630data[13]))∧(i636[5]* i636[13]))


(5) -> (15), if (((i6[5]* i6[15])∧(a14630data[5]* a14630data[15]))∧(o9395[5]* java.lang.Object(IntList(o9408[15], i1398[15])))∧(o8925[5]* java.lang.Object(IntList(o9408[15], i1398[15])))∧(i636[5]* i636[15])∧(i1315[5] + -1* i1315[15]))


(5) -> (18), if ((i636[5]* i636[18])∧(o9395[5]* NULL)∧((i6[5]* i6[18])∧(a14630data[5]* a14630data[18]))∧(o8925[5]* o8925[18])∧(i1315[5] + -1* i1314[18]))


(5) -> (21), if (((i6[5]* i6[21])∧(a14630data[5]* a14630data[21]))∧(o9395[5]* java.lang.Object(IntList(o9257[21], i1372[21])))∧(i636[5]* i636[21])∧(o8925[5]* java.lang.Object(IntList(o9257[21], i1372[21])))∧(i1315[5] + -1* i1314[21]))


(6) -> (7), if ((i1315[6] > 0 && i1315[6] <= 1* TRUE)∧(i1315[6]* i1315[7])∧(o8925[6]* o8925[7])∧((i6[6]* i6[7])∧(a14630data[6]* a14630data[7]))∧(o8924[6]* o8924[7])∧(i636[6]* i636[7]))


(7) -> (12), if ((o8924[7]* java.lang.Object(IntList(o9251[12], i1370[12])))∧((i6[7]* i6[12])∧(a14630data[7]* a14630data[12]))∧(o8925[7]* o8925[12])∧(i636[7]* i636[12]))


(7) -> (17), if ((o8925[7]* o8925[17])∧(i636[7]* i636[17])∧((i6[7]* i6[17])∧(a14630data[7]* a14630data[17]))∧(o8924[7]* NULL))


(7) -> (20), if ((o8924[7]* java.lang.Object(IntList(o9257[20], i1372[20])))∧(o8925[7]* java.lang.Object(IntList(o9257[20], i1372[20])))∧(i636[7]* i636[20])∧((i6[7]* i6[20])∧(a14630data[7]* a14630data[20])))


(8) -> (9), if ((i636[8]* i636[9])∧(i1315[8] > 1* TRUE)∧(o8925[8]* o8925[9])∧((i6[8]* i6[9])∧(a14630data[8]* a14630data[9]))∧(i1315[8]* i1315[9]))


(9) -> (12), if (false∧(i636[9]* i636[12])∧((i6[9]* i6[12])∧(a14630data[9]* a14630data[12]))∧(o8925[9]* o8925[12]))


(9) -> (17), if ((o8925[9]* o8925[17])∧((i6[9]* i6[17])∧(a14630data[9]* a14630data[17]))∧(i636[9]* i636[17]))


(9) -> (20), if ((o8925[9]* java.lang.Object(IntList(o9257[20], i1372[20])))∧(i636[9]* i636[20])∧false∧((i6[9]* i6[20])∧(a14630data[9]* a14630data[20])))


(10) -> (0), if ((o8925[10]* java.lang.Object(IntList(o5524[0], i503[0])))∧(i636[10]* i123[0])∧((i6[10]* i6[0])∧(a14630data[10]* a8555data[0]))∧(i1370[10]* i500[0]))


(11) -> (0), if ((i636[11]* i123[0])∧(i1370[11]* i500[0])∧((i6[11]* i6[0])∧(a14630data[11]* a8555data[0]))∧(o8925[11]* java.lang.Object(IntList(o5524[0], i503[0]))))


(12) -> (0), if ((o8925[12]* java.lang.Object(IntList(o5524[0], i503[0])))∧(i636[12]* i123[0])∧(i1370[12]* i500[0])∧((i6[12]* i6[0])∧(a14630data[12]* a8555data[0])))


(13) -> (14), if ((i1314[13]* i1314[14])∧((i6[13]* i6[14])∧(a14630data[13]* a14630data[14]))∧(o8925[13]* o8925[14])∧(i1314[13] <= 1* TRUE)∧(i636[13]* i636[14])∧((o9251[13]* o9251[14])∧(i1370[13]* i1370[14])))


(14) -> (0), if ((i1370[14]* i500[0])∧(o8925[14]* java.lang.Object(IntList(o5524[0], i503[0])))∧(i636[14]* i123[0])∧((i6[14]* i6[0])∧(a14630data[14]* a8555data[0])))


(15) -> (16), if (((o9408[15]* o9408[16])∧(i1398[15]* i1398[16]))∧((i6[15]* i6[16])∧(a14630data[15]* a14630data[16]))∧(i636[15]* i636[16])∧(i1315[15]* i1315[16])∧(i1315[15] > 1* TRUE))


(16) -> (3), if ((i1315[16] + -1* i1365[3])∧(java.lang.Object(IntList(o9408[16], i1398[16])) →* o8925[3])∧(o9408[16]* o9395[3])∧((i6[16]* i6[3])∧(a14630data[16]* a14630data[3]))∧(i636[16]* i636[3]))


(17) -> (10), if ((i636[17]* i636[10])∧(0* i1370[10])∧((i6[17]* i6[10])∧(a14630data[17]* a14630data[10]))∧(o8925[17]* o8925[10]))


(18) -> (19), if ((i1314[18] <= 1* TRUE)∧(i636[18]* i636[19])∧((i6[18]* i6[19])∧(a14630data[18]* a14630data[19]))∧(i1314[18]* i1314[19])∧(o8925[18]* o8925[19]))


(19) -> (10), if ((i636[19]* i636[10])∧((i6[19]* i6[10])∧(a14630data[19]* a14630data[10]))∧(o8925[19]* o8925[10])∧(0* i1370[10]))


(20) -> (11), if (((i6[20]* i6[11])∧(a14630data[20]* a14630data[11]))∧(i1372[20]* i1370[11])∧(java.lang.Object(IntList(o9257[20], i1372[20])) →* o8925[11])∧(i636[20]* i636[11]))


(21) -> (22), if (((o9257[21]* o9257[22])∧(i1372[21]* i1372[22]))∧(i1314[21]* i1314[22])∧((i6[21]* i6[22])∧(a14630data[21]* a14630data[22]))∧(i636[21]* i636[22])∧(i1314[21] <= 1* TRUE))


(22) -> (11), if ((i1372[22]* i1370[11])∧(i636[22]* i636[11])∧(java.lang.Object(IntList(o9257[22], i1372[22])) →* o8925[11])∧((i6[22]* i6[11])∧(a14630data[22]* a14630data[11])))



The set Q consists of the following terms:
Load3666(java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(IntList(x3, x4)), x5)
Load3666ARR1(java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(IntList(x3, x4)), x5, java.lang.Object(java.lang.String(x6)))
Cond_Load3666ARR1(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(IntList(x3, x4)), x5, java.lang.Object(java.lang.String(x6)))
JMP5555(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, x5)
Cond_Load5182(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(IntList(x5, x6)))
Load5182(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, x5)
Cond_Load51821(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, x5)
Cond_Load51822(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4)
Store5482(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4)
Return5413(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4)
Load5214(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(IntList(x4, x5)))
Cond_Load51823(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(IntList(x5, x6)))
Cond_Load51824(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(IntList(x4, x5)))
Load5214(java.lang.Object(ARRAY(x0, x1)), x2, x3, NULL)
Cond_Load51825(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4)
Cond_Load51826(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(IntList(x4, x5)))

(16) 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 LOAD3666(java.lang.Object(ARRAY(i6, a8555data)), i123, java.lang.Object(IntList(o5524, i503)), i500) → LOAD3666ARR1(java.lang.Object(ARRAY(i6, a8555data)), i123, java.lang.Object(IntList(o5524, i503)), i500, java.lang.Object(java.lang.String(i801))) the following chains were created:
  • We consider the chain STORE5482(java.lang.Object(ARRAY(i6[10], a14630data[10])), i636[10], o8925[10], i1370[10]) → LOAD3666(java.lang.Object(ARRAY(i6[10], a14630data[10])), i636[10], o8925[10], i1370[10]), LOAD3666(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0]) → LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0]))), LOAD3666ARR1(java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1]))) → COND_LOAD3666ARR1(&&(&&(&&(>(i123[1], 0), <(i123[1], i6[1])), >(i500[1], 0)), >(+(i123[1], 1), 0)), java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1]))) which results in the following constraint:

    (1)    (o8925[10]=java.lang.Object(IntList(o5524[0], i503[0]))∧i636[10]=i123[0]i6[10]=i6[0]a14630data[10]=a8555data[0]i1370[10]=i500[0]i500[0]=i500[1]i6[0]=i6[1]a8555data[0]=a8555data[1]i123[0]=i123[1]o5524[0]=o5524[1]i503[0]=i503[1]i801[0]=i801[1]LOAD3666(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0])≥LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))∧(UIncreasing(LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))), ≥))



    We simplified constraint (1) using rules (III), (IV) which results in the following new constraint:

    (2)    (LOAD3666(java.lang.Object(ARRAY(i6[10], a14630data[10])), i636[10], java.lang.Object(IntList(o5524[0], i503[0])), i1370[10])≥LOAD3666ARR1(java.lang.Object(ARRAY(i6[10], a14630data[10])), i636[10], java.lang.Object(IntList(o5524[0], i503[0])), i1370[10], java.lang.Object(java.lang.String(i801[0])))∧(UIncreasing(LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))), ≥))



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

    (3)    ((UIncreasing(LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))), ≥)∧[(-1)bso_102] ≥ 0)



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

    (4)    ((UIncreasing(LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))), ≥)∧[(-1)bso_102] ≥ 0)



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

    (5)    ((UIncreasing(LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))), ≥)∧[(-1)bso_102] ≥ 0)



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

    (6)    ((UIncreasing(LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_102] ≥ 0)



  • We consider the chain RETURN5413(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], o8925[11], i1370[11]) → LOAD3666(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], o8925[11], i1370[11]), LOAD3666(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0]) → LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0]))), LOAD3666ARR1(java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1]))) → COND_LOAD3666ARR1(&&(&&(&&(>(i123[1], 0), <(i123[1], i6[1])), >(i500[1], 0)), >(+(i123[1], 1), 0)), java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1]))) which results in the following constraint:

    (7)    (i636[11]=i123[0]i1370[11]=i500[0]i6[11]=i6[0]a14630data[11]=a8555data[0]o8925[11]=java.lang.Object(IntList(o5524[0], i503[0]))∧i500[0]=i500[1]i6[0]=i6[1]a8555data[0]=a8555data[1]i123[0]=i123[1]o5524[0]=o5524[1]i503[0]=i503[1]i801[0]=i801[1]LOAD3666(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0])≥LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))∧(UIncreasing(LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))), ≥))



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

    (8)    (LOAD3666(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], java.lang.Object(IntList(o5524[0], i503[0])), i1370[11])≥LOAD3666ARR1(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], java.lang.Object(IntList(o5524[0], i503[0])), i1370[11], java.lang.Object(java.lang.String(i801[0])))∧(UIncreasing(LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))), ≥))



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

    (9)    ((UIncreasing(LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))), ≥)∧[(-1)bso_102] ≥ 0)



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

    (10)    ((UIncreasing(LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))), ≥)∧[(-1)bso_102] ≥ 0)



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

    (11)    ((UIncreasing(LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))), ≥)∧[(-1)bso_102] ≥ 0)



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

    (12)    ((UIncreasing(LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_102] ≥ 0)



  • We consider the chain LOAD5214(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], o8925[12], java.lang.Object(IntList(o9251[12], i1370[12]))) → LOAD3666(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], o8925[12], i1370[12]), LOAD3666(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0]) → LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0]))), LOAD3666ARR1(java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1]))) → COND_LOAD3666ARR1(&&(&&(&&(>(i123[1], 0), <(i123[1], i6[1])), >(i500[1], 0)), >(+(i123[1], 1), 0)), java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1]))) which results in the following constraint:

    (13)    (o8925[12]=java.lang.Object(IntList(o5524[0], i503[0]))∧i636[12]=i123[0]i1370[12]=i500[0]i6[12]=i6[0]a14630data[12]=a8555data[0]i500[0]=i500[1]i6[0]=i6[1]a8555data[0]=a8555data[1]i123[0]=i123[1]o5524[0]=o5524[1]i503[0]=i503[1]i801[0]=i801[1]LOAD3666(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0])≥LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))∧(UIncreasing(LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))), ≥))



    We simplified constraint (13) using rules (III), (IV) which results in the following new constraint:

    (14)    (LOAD3666(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], java.lang.Object(IntList(o5524[0], i503[0])), i1370[12])≥LOAD3666ARR1(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], java.lang.Object(IntList(o5524[0], i503[0])), i1370[12], java.lang.Object(java.lang.String(i801[0])))∧(UIncreasing(LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))), ≥))



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

    (15)    ((UIncreasing(LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))), ≥)∧[(-1)bso_102] ≥ 0)



    We simplified constraint (15) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (16)    ((UIncreasing(LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))), ≥)∧[(-1)bso_102] ≥ 0)



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

    (17)    ((UIncreasing(LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))), ≥)∧[(-1)bso_102] ≥ 0)



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

    (18)    ((UIncreasing(LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_102] ≥ 0)



  • We consider the chain COND_LOAD51823(TRUE, java.lang.Object(ARRAY(i6[14], a14630data[14])), i636[14], o8925[14], i1314[14], java.lang.Object(IntList(o9251[14], i1370[14]))) → LOAD3666(java.lang.Object(ARRAY(i6[14], a14630data[14])), i636[14], o8925[14], i1370[14]), LOAD3666(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0]) → LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0]))), LOAD3666ARR1(java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1]))) → COND_LOAD3666ARR1(&&(&&(&&(>(i123[1], 0), <(i123[1], i6[1])), >(i500[1], 0)), >(+(i123[1], 1), 0)), java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1]))) which results in the following constraint:

    (19)    (i1370[14]=i500[0]o8925[14]=java.lang.Object(IntList(o5524[0], i503[0]))∧i636[14]=i123[0]i6[14]=i6[0]a14630data[14]=a8555data[0]i500[0]=i500[1]i6[0]=i6[1]a8555data[0]=a8555data[1]i123[0]=i123[1]o5524[0]=o5524[1]i503[0]=i503[1]i801[0]=i801[1]LOAD3666(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0])≥LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))∧(UIncreasing(LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))), ≥))



    We simplified constraint (19) using rules (III), (IV) which results in the following new constraint:

    (20)    (LOAD3666(java.lang.Object(ARRAY(i6[14], a14630data[14])), i636[14], java.lang.Object(IntList(o5524[0], i503[0])), i1370[14])≥LOAD3666ARR1(java.lang.Object(ARRAY(i6[14], a14630data[14])), i636[14], java.lang.Object(IntList(o5524[0], i503[0])), i1370[14], java.lang.Object(java.lang.String(i801[0])))∧(UIncreasing(LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))), ≥))



    We simplified constraint (20) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (21)    ((UIncreasing(LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))), ≥)∧[(-1)bso_102] ≥ 0)



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

    (22)    ((UIncreasing(LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))), ≥)∧[(-1)bso_102] ≥ 0)



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

    (23)    ((UIncreasing(LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))), ≥)∧[(-1)bso_102] ≥ 0)



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

    (24)    ((UIncreasing(LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_102] ≥ 0)







For Pair LOAD3666ARR1(java.lang.Object(ARRAY(i6, a8555data)), i123, java.lang.Object(IntList(o5524, i503)), i500, java.lang.Object(java.lang.String(i801))) → COND_LOAD3666ARR1(&&(&&(&&(>(i123, 0), <(i123, i6)), >(i500, 0)), >(+(i123, 1), 0)), java.lang.Object(ARRAY(i6, a8555data)), i123, java.lang.Object(IntList(o5524, i503)), i500, java.lang.Object(java.lang.String(i801))) the following chains were created:
  • We consider the chain LOAD3666ARR1(java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1]))) → COND_LOAD3666ARR1(&&(&&(&&(>(i123[1], 0), <(i123[1], i6[1])), >(i500[1], 0)), >(+(i123[1], 1), 0)), java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1]))), COND_LOAD3666ARR1(TRUE, java.lang.Object(ARRAY(i6[2], a8555data[2])), i123[2], java.lang.Object(IntList(o5524[2], i503[2])), i500[2], java.lang.Object(java.lang.String(i801[2]))) → LOAD5182(java.lang.Object(ARRAY(i6[2], a8555data[2])), +(i123[2], 1), o5524[2], i801[2], o5524[2]) which results in the following constraint:

    (25)    (i801[1]=i801[2]&&(&&(&&(>(i123[1], 0), <(i123[1], i6[1])), >(i500[1], 0)), >(+(i123[1], 1), 0))=TRUEi6[1]=i6[2]a8555data[1]=a8555data[2]i123[1]=i123[2]i500[1]=i500[2]o5524[1]=o5524[2]i503[1]=i503[2]LOAD3666ARR1(java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1])))≥COND_LOAD3666ARR1(&&(&&(&&(>(i123[1], 0), <(i123[1], i6[1])), >(i500[1], 0)), >(+(i123[1], 1), 0)), java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1])))∧(UIncreasing(COND_LOAD3666ARR1(&&(&&(&&(>(i123[1], 0), <(i123[1], i6[1])), >(i500[1], 0)), >(+(i123[1], 1), 0)), java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1])))), ≥))



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

    (26)    (&&(&&(&&(>(i123[1], 0), <(i123[1], i6[1])), >(i500[1], 0)), >(+(i123[1], 1), 0))=TRUELOAD3666ARR1(java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1])))≥COND_LOAD3666ARR1(&&(&&(&&(>(i123[1], 0), <(i123[1], i6[1])), >(i500[1], 0)), >(+(i123[1], 1), 0)), java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1])))∧(UIncreasing(COND_LOAD3666ARR1(&&(&&(&&(>(i123[1], 0), <(i123[1], i6[1])), >(i500[1], 0)), >(+(i123[1], 1), 0)), java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1])))), ≥))



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

    (27)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD3666ARR1(&&(&&(&&(>(i123[1], 0), <(i123[1], i6[1])), >(i500[1], 0)), >(+(i123[1], 1), 0)), java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1])))), ≥)∧[(-1)bso_103] ≥ 0)



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

    (28)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD3666ARR1(&&(&&(&&(>(i123[1], 0), <(i123[1], i6[1])), >(i500[1], 0)), >(+(i123[1], 1), 0)), java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1])))), ≥)∧[(-1)bso_103] ≥ 0)



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

    (29)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD3666ARR1(&&(&&(&&(>(i123[1], 0), <(i123[1], i6[1])), >(i500[1], 0)), >(+(i123[1], 1), 0)), java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1])))), ≥)∧[(-1)bso_103] ≥ 0)



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

    (30)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD3666ARR1(&&(&&(&&(>(i123[1], 0), <(i123[1], i6[1])), >(i500[1], 0)), >(+(i123[1], 1), 0)), java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1])))), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_103] ≥ 0)







For Pair COND_LOAD3666ARR1(TRUE, java.lang.Object(ARRAY(i6, a8555data)), i123, java.lang.Object(IntList(o5524, i503)), i500, java.lang.Object(java.lang.String(i801))) → LOAD5182(java.lang.Object(ARRAY(i6, a8555data)), +(i123, 1), o5524, i801, o5524) the following chains were created:
  • We consider the chain LOAD3666ARR1(java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1]))) → COND_LOAD3666ARR1(&&(&&(&&(>(i123[1], 0), <(i123[1], i6[1])), >(i500[1], 0)), >(+(i123[1], 1), 0)), java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1]))), COND_LOAD3666ARR1(TRUE, java.lang.Object(ARRAY(i6[2], a8555data[2])), i123[2], java.lang.Object(IntList(o5524[2], i503[2])), i500[2], java.lang.Object(java.lang.String(i801[2]))) → LOAD5182(java.lang.Object(ARRAY(i6[2], a8555data[2])), +(i123[2], 1), o5524[2], i801[2], o5524[2]) which results in the following constraint:

    (31)    (i801[1]=i801[2]&&(&&(&&(>(i123[1], 0), <(i123[1], i6[1])), >(i500[1], 0)), >(+(i123[1], 1), 0))=TRUEi6[1]=i6[2]a8555data[1]=a8555data[2]i123[1]=i123[2]i500[1]=i500[2]o5524[1]=o5524[2]i503[1]=i503[2]COND_LOAD3666ARR1(TRUE, java.lang.Object(ARRAY(i6[2], a8555data[2])), i123[2], java.lang.Object(IntList(o5524[2], i503[2])), i500[2], java.lang.Object(java.lang.String(i801[2])))≥LOAD5182(java.lang.Object(ARRAY(i6[2], a8555data[2])), +(i123[2], 1), o5524[2], i801[2], o5524[2])∧(UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[2], a8555data[2])), +(i123[2], 1), o5524[2], i801[2], o5524[2])), ≥))



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

    (32)    (&&(&&(&&(>(i123[1], 0), <(i123[1], i6[1])), >(i500[1], 0)), >(+(i123[1], 1), 0))=TRUECOND_LOAD3666ARR1(TRUE, java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1])))≥LOAD5182(java.lang.Object(ARRAY(i6[1], a8555data[1])), +(i123[1], 1), o5524[1], i801[1], o5524[1])∧(UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[2], a8555data[2])), +(i123[2], 1), o5524[2], i801[2], o5524[2])), ≥))



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

    (33)    (0 ≥ 0 ⇒ (UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[2], a8555data[2])), +(i123[2], 1), o5524[2], i801[2], o5524[2])), ≥)∧[(-1)bso_104] + o5524[1] ≥ 0)



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

    (34)    (0 ≥ 0 ⇒ (UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[2], a8555data[2])), +(i123[2], 1), o5524[2], i801[2], o5524[2])), ≥)∧[(-1)bso_104] + o5524[1] ≥ 0)



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

    (35)    (0 ≥ 0 ⇒ (UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[2], a8555data[2])), +(i123[2], 1), o5524[2], i801[2], o5524[2])), ≥)∧[(-1)bso_104] + o5524[1] ≥ 0)



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

    (36)    (0 ≥ 0 ⇒ (UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[2], a8555data[2])), +(i123[2], 1), o5524[2], i801[2], o5524[2])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[1] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_104] ≥ 0)







For Pair JMP5555'(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1365, o9395) → LOAD5182(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1365, o9395) the following chains were created:
  • We consider the chain JMP5555'(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3]) → LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3]), LOAD5182(java.lang.Object(ARRAY(i6[4], a14630data[4])), i636[4], o8925[4], i1315[4], java.lang.Object(IntList(o9395[4], i1395[4]))) → COND_LOAD5182(>(i1315[4], 1), java.lang.Object(ARRAY(i6[4], a14630data[4])), i636[4], o8925[4], i1315[4], java.lang.Object(IntList(o9395[4], i1395[4]))) which results in the following constraint:

    (37)    (o8925[3]=o8925[4]o9395[3]=java.lang.Object(IntList(o9395[4], i1395[4]))∧i6[3]=i6[4]a14630data[3]=a14630data[4]i636[3]=i636[4]i1365[3]=i1315[4]JMP5555'(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])≥LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])∧(UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥))



    We simplified constraint (37) using rules (III), (IV) which results in the following new constraint:

    (38)    (JMP5555'(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], java.lang.Object(IntList(o9395[4], i1395[4])))≥LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], java.lang.Object(IntList(o9395[4], i1395[4])))∧(UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥))



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

    (39)    ((UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥)∧[(-1)bso_105] + [2]i1365[3] ≥ 0)



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

    (40)    ((UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥)∧[(-1)bso_105] + [2]i1365[3] ≥ 0)



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

    (41)    ((UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥)∧[(-1)bso_105] + [2]i1365[3] ≥ 0)



    We simplified constraint (41) using rules (IDP_UNRESTRICTED_VARS), (IDP_POLY_GCD) which results in the following new constraint:

    (42)    ((UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_105] ≥ 0∧[1] ≥ 0)



  • We consider the chain JMP5555'(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3]) → LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3]), LOAD5182(java.lang.Object(ARRAY(i6[6], a14630data[6])), i636[6], o8925[6], i1315[6], o8924[6]) → COND_LOAD51821(&&(>(i1315[6], 0), <=(i1315[6], 1)), java.lang.Object(ARRAY(i6[6], a14630data[6])), i636[6], o8925[6], i1315[6], o8924[6]) which results in the following constraint:

    (43)    (o9395[3]=o8924[6]o8925[3]=o8925[6]i636[3]=i636[6]i6[3]=i6[6]a14630data[3]=a14630data[6]i1365[3]=i1315[6]JMP5555'(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])≥LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])∧(UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥))



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

    (44)    (JMP5555'(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])≥LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])∧(UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥))



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

    (45)    ((UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥)∧[(-1)bso_105] + [2]i1365[3] ≥ 0)



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

    (46)    ((UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥)∧[(-1)bso_105] + [2]i1365[3] ≥ 0)



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

    (47)    ((UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥)∧[(-1)bso_105] + [2]i1365[3] ≥ 0)



    We simplified constraint (47) using rules (IDP_UNRESTRICTED_VARS), (IDP_POLY_GCD) which results in the following new constraint:

    (48)    ((UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_105] ≥ 0∧[1] ≥ 0)



  • We consider the chain JMP5555'(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3]) → LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3]), LOAD5182(java.lang.Object(ARRAY(i6[8], a14630data[8])), i636[8], o8925[8], i1315[8], NULL) → COND_LOAD51822(>(i1315[8], 1), java.lang.Object(ARRAY(i6[8], a14630data[8])), i636[8], o8925[8], i1315[8]) which results in the following constraint:

    (49)    (o9395[3]=NULLo8925[3]=o8925[8]i1365[3]=i1315[8]i636[3]=i636[8]i6[3]=i6[8]a14630data[3]=a14630data[8]JMP5555'(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])≥LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])∧(UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥))



    We simplified constraint (49) using rules (III), (IV) which results in the following new constraint:

    (50)    (JMP5555'(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], NULL)≥LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], NULL)∧(UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥))



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

    (51)    ((UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥)∧[(-1)bso_105] + [2]i1365[3] ≥ 0)



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

    (52)    ((UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥)∧[(-1)bso_105] + [2]i1365[3] ≥ 0)



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

    (53)    ((UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥)∧[(-1)bso_105] + [2]i1365[3] ≥ 0)



    We simplified constraint (53) using rules (IDP_UNRESTRICTED_VARS), (IDP_POLY_GCD) which results in the following new constraint:

    (54)    ((UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_105] ≥ 0∧[1] ≥ 0)



  • We consider the chain JMP5555'(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3]) → LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3]), LOAD5182(java.lang.Object(ARRAY(i6[13], a14630data[13])), i636[13], o8925[13], i1314[13], java.lang.Object(IntList(o9251[13], i1370[13]))) → COND_LOAD51823(<=(i1314[13], 1), java.lang.Object(ARRAY(i6[13], a14630data[13])), i636[13], o8925[13], i1314[13], java.lang.Object(IntList(o9251[13], i1370[13]))) which results in the following constraint:

    (55)    (i6[3]=i6[13]a14630data[3]=a14630data[13]i636[3]=i636[13]o8925[3]=o8925[13]i1365[3]=i1314[13]o9395[3]=java.lang.Object(IntList(o9251[13], i1370[13])) ⇒ JMP5555'(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])≥LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])∧(UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥))



    We simplified constraint (55) using rules (III), (IV) which results in the following new constraint:

    (56)    (JMP5555'(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], java.lang.Object(IntList(o9251[13], i1370[13])))≥LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], java.lang.Object(IntList(o9251[13], i1370[13])))∧(UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥))



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

    (57)    ((UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥)∧[(-1)bso_105] + [2]i1365[3] ≥ 0)



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

    (58)    ((UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥)∧[(-1)bso_105] + [2]i1365[3] ≥ 0)



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

    (59)    ((UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥)∧[(-1)bso_105] + [2]i1365[3] ≥ 0)



    We simplified constraint (59) using rules (IDP_UNRESTRICTED_VARS), (IDP_POLY_GCD) which results in the following new constraint:

    (60)    ((UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_105] ≥ 0∧[1] ≥ 0)



  • We consider the chain JMP5555'(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3]) → LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3]), LOAD5182(java.lang.Object(ARRAY(i6[15], a14630data[15])), i636[15], java.lang.Object(IntList(o9408[15], i1398[15])), i1315[15], java.lang.Object(IntList(o9408[15], i1398[15]))) → COND_LOAD51824(>(i1315[15], 1), java.lang.Object(ARRAY(i6[15], a14630data[15])), i636[15], i1315[15], java.lang.Object(IntList(o9408[15], i1398[15]))) which results in the following constraint:

    (61)    (i636[3]=i636[15]i6[3]=i6[15]a14630data[3]=a14630data[15]o8925[3]=java.lang.Object(IntList(o9408[15], i1398[15]))∧o9395[3]=java.lang.Object(IntList(o9408[15], i1398[15]))∧i1365[3]=i1315[15]JMP5555'(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])≥LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])∧(UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥))



    We simplified constraint (61) using rules (III), (IV) which results in the following new constraint:

    (62)    (JMP5555'(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], java.lang.Object(IntList(o9408[15], i1398[15])), i1365[3], java.lang.Object(IntList(o9408[15], i1398[15])))≥LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], java.lang.Object(IntList(o9408[15], i1398[15])), i1365[3], java.lang.Object(IntList(o9408[15], i1398[15])))∧(UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥))



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

    (63)    ((UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥)∧[(-1)bso_105] + [2]i1365[3] ≥ 0)



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

    (64)    ((UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥)∧[(-1)bso_105] + [2]i1365[3] ≥ 0)



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

    (65)    ((UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥)∧[(-1)bso_105] + [2]i1365[3] ≥ 0)



    We simplified constraint (65) using rules (IDP_UNRESTRICTED_VARS), (IDP_POLY_GCD) which results in the following new constraint:

    (66)    ((UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_105] ≥ 0∧[1] ≥ 0)



  • We consider the chain JMP5555'(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3]) → LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3]), LOAD5182(java.lang.Object(ARRAY(i6[18], a14630data[18])), i636[18], o8925[18], i1314[18], NULL) → COND_LOAD51825(<=(i1314[18], 1), java.lang.Object(ARRAY(i6[18], a14630data[18])), i636[18], o8925[18], i1314[18]) which results in the following constraint:

    (67)    (o9395[3]=NULLi1365[3]=i1314[18]i636[3]=i636[18]o8925[3]=o8925[18]i6[3]=i6[18]a14630data[3]=a14630data[18]JMP5555'(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])≥LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])∧(UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥))



    We simplified constraint (67) using rules (III), (IV) which results in the following new constraint:

    (68)    (JMP5555'(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], NULL)≥LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], NULL)∧(UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥))



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

    (69)    ((UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥)∧[(-1)bso_105] + [2]i1365[3] ≥ 0)



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

    (70)    ((UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥)∧[(-1)bso_105] + [2]i1365[3] ≥ 0)



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

    (71)    ((UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥)∧[(-1)bso_105] + [2]i1365[3] ≥ 0)



    We simplified constraint (71) using rules (IDP_UNRESTRICTED_VARS), (IDP_POLY_GCD) which results in the following new constraint:

    (72)    ((UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_105] ≥ 0∧[1] ≥ 0)



  • We consider the chain JMP5555'(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3]) → LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3]), LOAD5182(java.lang.Object(ARRAY(i6[21], a14630data[21])), i636[21], java.lang.Object(IntList(o9257[21], i1372[21])), i1314[21], java.lang.Object(IntList(o9257[21], i1372[21]))) → COND_LOAD51826(<=(i1314[21], 1), java.lang.Object(ARRAY(i6[21], a14630data[21])), i636[21], i1314[21], java.lang.Object(IntList(o9257[21], i1372[21]))) which results in the following constraint:

    (73)    (i1365[3]=i1314[21]i636[3]=i636[21]o9395[3]=java.lang.Object(IntList(o9257[21], i1372[21]))∧o8925[3]=java.lang.Object(IntList(o9257[21], i1372[21]))∧i6[3]=i6[21]a14630data[3]=a14630data[21]JMP5555'(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])≥LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])∧(UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥))



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

    (74)    (JMP5555'(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], java.lang.Object(IntList(o9257[21], i1372[21])), i1365[3], java.lang.Object(IntList(o9257[21], i1372[21])))≥LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], java.lang.Object(IntList(o9257[21], i1372[21])), i1365[3], java.lang.Object(IntList(o9257[21], i1372[21])))∧(UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥))



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

    (75)    ((UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥)∧[(-1)bso_105] + [2]i1365[3] ≥ 0)



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

    (76)    ((UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥)∧[(-1)bso_105] + [2]i1365[3] ≥ 0)



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

    (77)    ((UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥)∧[(-1)bso_105] + [2]i1365[3] ≥ 0)



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

    (78)    ((UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_105] ≥ 0∧[1] ≥ 0)







For Pair LOAD5182(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1315, java.lang.Object(IntList(o9395, i1395))) → COND_LOAD5182(>(i1315, 1), java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1315, java.lang.Object(IntList(o9395, i1395))) the following chains were created:
  • We consider the chain LOAD5182(java.lang.Object(ARRAY(i6[4], a14630data[4])), i636[4], o8925[4], i1315[4], java.lang.Object(IntList(o9395[4], i1395[4]))) → COND_LOAD5182(>(i1315[4], 1), java.lang.Object(ARRAY(i6[4], a14630data[4])), i636[4], o8925[4], i1315[4], java.lang.Object(IntList(o9395[4], i1395[4]))), COND_LOAD5182(TRUE, java.lang.Object(ARRAY(i6[5], a14630data[5])), i636[5], o8925[5], i1315[5], java.lang.Object(IntList(o9395[5], i1395[5]))) → LOAD5182(java.lang.Object(ARRAY(i6[5], a14630data[5])), i636[5], o8925[5], +(i1315[5], -1), o9395[5]) which results in the following constraint:

    (79)    (>(i1315[4], 1)=TRUEo9395[4]=o9395[5]i1395[4]=i1395[5]o8925[4]=o8925[5]i1315[4]=i1315[5]i636[4]=i636[5]i6[4]=i6[5]a14630data[4]=a14630data[5]LOAD5182(java.lang.Object(ARRAY(i6[4], a14630data[4])), i636[4], o8925[4], i1315[4], java.lang.Object(IntList(o9395[4], i1395[4])))≥COND_LOAD5182(>(i1315[4], 1), java.lang.Object(ARRAY(i6[4], a14630data[4])), i636[4], o8925[4], i1315[4], java.lang.Object(IntList(o9395[4], i1395[4])))∧(UIncreasing(COND_LOAD5182(>(i1315[4], 1), java.lang.Object(ARRAY(i6[4], a14630data[4])), i636[4], o8925[4], i1315[4], java.lang.Object(IntList(o9395[4], i1395[4])))), ≥))



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

    (80)    (>(i1315[4], 1)=TRUELOAD5182(java.lang.Object(ARRAY(i6[4], a14630data[4])), i636[4], o8925[4], i1315[4], java.lang.Object(IntList(o9395[4], i1395[4])))≥COND_LOAD5182(>(i1315[4], 1), java.lang.Object(ARRAY(i6[4], a14630data[4])), i636[4], o8925[4], i1315[4], java.lang.Object(IntList(o9395[4], i1395[4])))∧(UIncreasing(COND_LOAD5182(>(i1315[4], 1), java.lang.Object(ARRAY(i6[4], a14630data[4])), i636[4], o8925[4], i1315[4], java.lang.Object(IntList(o9395[4], i1395[4])))), ≥))



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

    (81)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD5182(>(i1315[4], 1), java.lang.Object(ARRAY(i6[4], a14630data[4])), i636[4], o8925[4], i1315[4], java.lang.Object(IntList(o9395[4], i1395[4])))), ≥)∧[(-1)bso_106] ≥ 0)



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

    (82)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD5182(>(i1315[4], 1), java.lang.Object(ARRAY(i6[4], a14630data[4])), i636[4], o8925[4], i1315[4], java.lang.Object(IntList(o9395[4], i1395[4])))), ≥)∧[(-1)bso_106] ≥ 0)



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

    (83)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD5182(>(i1315[4], 1), java.lang.Object(ARRAY(i6[4], a14630data[4])), i636[4], o8925[4], i1315[4], java.lang.Object(IntList(o9395[4], i1395[4])))), ≥)∧[(-1)bso_106] ≥ 0)



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

    (84)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD5182(>(i1315[4], 1), java.lang.Object(ARRAY(i6[4], a14630data[4])), i636[4], o8925[4], i1315[4], java.lang.Object(IntList(o9395[4], i1395[4])))), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_106] ≥ 0)







For Pair COND_LOAD5182(TRUE, java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1315, java.lang.Object(IntList(o9395, i1395))) → LOAD5182(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, +(i1315, -1), o9395) the following chains were created:
  • We consider the chain LOAD5182(java.lang.Object(ARRAY(i6[4], a14630data[4])), i636[4], o8925[4], i1315[4], java.lang.Object(IntList(o9395[4], i1395[4]))) → COND_LOAD5182(>(i1315[4], 1), java.lang.Object(ARRAY(i6[4], a14630data[4])), i636[4], o8925[4], i1315[4], java.lang.Object(IntList(o9395[4], i1395[4]))), COND_LOAD5182(TRUE, java.lang.Object(ARRAY(i6[5], a14630data[5])), i636[5], o8925[5], i1315[5], java.lang.Object(IntList(o9395[5], i1395[5]))) → LOAD5182(java.lang.Object(ARRAY(i6[5], a14630data[5])), i636[5], o8925[5], +(i1315[5], -1), o9395[5]) which results in the following constraint:

    (85)    (>(i1315[4], 1)=TRUEo9395[4]=o9395[5]i1395[4]=i1395[5]o8925[4]=o8925[5]i1315[4]=i1315[5]i636[4]=i636[5]i6[4]=i6[5]a14630data[4]=a14630data[5]COND_LOAD5182(TRUE, java.lang.Object(ARRAY(i6[5], a14630data[5])), i636[5], o8925[5], i1315[5], java.lang.Object(IntList(o9395[5], i1395[5])))≥LOAD5182(java.lang.Object(ARRAY(i6[5], a14630data[5])), i636[5], o8925[5], +(i1315[5], -1), o9395[5])∧(UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[5], a14630data[5])), i636[5], o8925[5], +(i1315[5], -1), o9395[5])), ≥))



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

    (86)    (>(i1315[4], 1)=TRUECOND_LOAD5182(TRUE, java.lang.Object(ARRAY(i6[4], a14630data[4])), i636[4], o8925[4], i1315[4], java.lang.Object(IntList(o9395[4], i1395[4])))≥LOAD5182(java.lang.Object(ARRAY(i6[4], a14630data[4])), i636[4], o8925[4], +(i1315[4], -1), o9395[4])∧(UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[5], a14630data[5])), i636[5], o8925[5], +(i1315[5], -1), o9395[5])), ≥))



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

    (87)    (0 ≥ 0 ⇒ (UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[5], a14630data[5])), i636[5], o8925[5], +(i1315[5], -1), o9395[5])), ≥)∧[(-1)bso_107] + [3]o9395[4] ≥ 0)



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

    (88)    (0 ≥ 0 ⇒ (UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[5], a14630data[5])), i636[5], o8925[5], +(i1315[5], -1), o9395[5])), ≥)∧[(-1)bso_107] + [3]o9395[4] ≥ 0)



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

    (89)    (0 ≥ 0 ⇒ (UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[5], a14630data[5])), i636[5], o8925[5], +(i1315[5], -1), o9395[5])), ≥)∧[(-1)bso_107] + [3]o9395[4] ≥ 0)



    We simplified constraint (89) using rules (IDP_UNRESTRICTED_VARS), (IDP_POLY_GCD) which results in the following new constraint:

    (90)    (0 ≥ 0 ⇒ (UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[5], a14630data[5])), i636[5], o8925[5], +(i1315[5], -1), o9395[5])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_107] ≥ 0∧[1] ≥ 0)







For Pair LOAD5182(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1315, o8924) → COND_LOAD51821(&&(>(i1315, 0), <=(i1315, 1)), java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1315, o8924) the following chains were created:
  • We consider the chain LOAD5182(java.lang.Object(ARRAY(i6[6], a14630data[6])), i636[6], o8925[6], i1315[6], o8924[6]) → COND_LOAD51821(&&(>(i1315[6], 0), <=(i1315[6], 1)), java.lang.Object(ARRAY(i6[6], a14630data[6])), i636[6], o8925[6], i1315[6], o8924[6]), COND_LOAD51821(TRUE, java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], i1315[7], o8924[7]) → LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7]) which results in the following constraint:

    (91)    (&&(>(i1315[6], 0), <=(i1315[6], 1))=TRUEi1315[6]=i1315[7]o8925[6]=o8925[7]i6[6]=i6[7]a14630data[6]=a14630data[7]o8924[6]=o8924[7]i636[6]=i636[7]LOAD5182(java.lang.Object(ARRAY(i6[6], a14630data[6])), i636[6], o8925[6], i1315[6], o8924[6])≥COND_LOAD51821(&&(>(i1315[6], 0), <=(i1315[6], 1)), java.lang.Object(ARRAY(i6[6], a14630data[6])), i636[6], o8925[6], i1315[6], o8924[6])∧(UIncreasing(COND_LOAD51821(&&(>(i1315[6], 0), <=(i1315[6], 1)), java.lang.Object(ARRAY(i6[6], a14630data[6])), i636[6], o8925[6], i1315[6], o8924[6])), ≥))



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

    (92)    (&&(>(i1315[6], 0), <=(i1315[6], 1))=TRUELOAD5182(java.lang.Object(ARRAY(i6[6], a14630data[6])), i636[6], o8925[6], i1315[6], o8924[6])≥COND_LOAD51821(&&(>(i1315[6], 0), <=(i1315[6], 1)), java.lang.Object(ARRAY(i6[6], a14630data[6])), i636[6], o8925[6], i1315[6], o8924[6])∧(UIncreasing(COND_LOAD51821(&&(>(i1315[6], 0), <=(i1315[6], 1)), java.lang.Object(ARRAY(i6[6], a14630data[6])), i636[6], o8925[6], i1315[6], o8924[6])), ≥))



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

    (93)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD51821(&&(>(i1315[6], 0), <=(i1315[6], 1)), java.lang.Object(ARRAY(i6[6], a14630data[6])), i636[6], o8925[6], i1315[6], o8924[6])), ≥)∧[(-1)bso_108] + o8924[6] ≥ 0)



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

    (94)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD51821(&&(>(i1315[6], 0), <=(i1315[6], 1)), java.lang.Object(ARRAY(i6[6], a14630data[6])), i636[6], o8925[6], i1315[6], o8924[6])), ≥)∧[(-1)bso_108] + o8924[6] ≥ 0)



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

    (95)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD51821(&&(>(i1315[6], 0), <=(i1315[6], 1)), java.lang.Object(ARRAY(i6[6], a14630data[6])), i636[6], o8925[6], i1315[6], o8924[6])), ≥)∧[(-1)bso_108] + o8924[6] ≥ 0)



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

    (96)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD51821(&&(>(i1315[6], 0), <=(i1315[6], 1)), java.lang.Object(ARRAY(i6[6], a14630data[6])), i636[6], o8925[6], i1315[6], o8924[6])), ≥)∧[1] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_108] ≥ 0)







For Pair COND_LOAD51821(TRUE, java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1315, o8924) → LOAD5214(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, o8924) the following chains were created:
  • We consider the chain COND_LOAD51821(TRUE, java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], i1315[7], o8924[7]) → LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7]), LOAD5214(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], o8925[12], java.lang.Object(IntList(o9251[12], i1370[12]))) → LOAD3666(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], o8925[12], i1370[12]) which results in the following constraint:

    (97)    (o8924[7]=java.lang.Object(IntList(o9251[12], i1370[12]))∧i6[7]=i6[12]a14630data[7]=a14630data[12]o8925[7]=o8925[12]i636[7]=i636[12]COND_LOAD51821(TRUE, java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], i1315[7], o8924[7])≥LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7])∧(UIncreasing(LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7])), ≥))



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

    (98)    (COND_LOAD51821(TRUE, java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], i1315[7], java.lang.Object(IntList(o9251[12], i1370[12])))≥LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], java.lang.Object(IntList(o9251[12], i1370[12])))∧(UIncreasing(LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7])), ≥))



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

    (99)    ((UIncreasing(LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7])), ≥)∧[(-1)bso_109] + o8925[7] + i636[7] ≥ 0)



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

    (100)    ((UIncreasing(LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7])), ≥)∧[(-1)bso_109] + o8925[7] + i636[7] ≥ 0)



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

    (101)    ((UIncreasing(LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7])), ≥)∧[(-1)bso_109] + o8925[7] + i636[7] ≥ 0)



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

    (102)    ((UIncreasing(LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[1] ≥ 0∧[1] ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_109] ≥ 0)



  • We consider the chain COND_LOAD51821(TRUE, java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], i1315[7], o8924[7]) → LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7]), LOAD5214(java.lang.Object(ARRAY(i6[17], a14630data[17])), i636[17], o8925[17], NULL) → STORE5482(java.lang.Object(ARRAY(i6[17], a14630data[17])), i636[17], o8925[17], 0) which results in the following constraint:

    (103)    (o8925[7]=o8925[17]i636[7]=i636[17]i6[7]=i6[17]a14630data[7]=a14630data[17]o8924[7]=NULLCOND_LOAD51821(TRUE, java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], i1315[7], o8924[7])≥LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7])∧(UIncreasing(LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7])), ≥))



    We simplified constraint (103) using rules (III), (IV) which results in the following new constraint:

    (104)    (COND_LOAD51821(TRUE, java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], i1315[7], NULL)≥LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], NULL)∧(UIncreasing(LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7])), ≥))



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

    (105)    ((UIncreasing(LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7])), ≥)∧[(-1)bso_109] + o8925[7] + i636[7] ≥ 0)



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

    (106)    ((UIncreasing(LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7])), ≥)∧[(-1)bso_109] + o8925[7] + i636[7] ≥ 0)



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

    (107)    ((UIncreasing(LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7])), ≥)∧[(-1)bso_109] + o8925[7] + i636[7] ≥ 0)



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

    (108)    ((UIncreasing(LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7])), ≥)∧0 ≥ 0∧[1] ≥ 0∧[1] ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_109] ≥ 0)



  • We consider the chain COND_LOAD51821(TRUE, java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], i1315[7], o8924[7]) → LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7]), LOAD5214(java.lang.Object(ARRAY(i6[20], a14630data[20])), i636[20], java.lang.Object(IntList(o9257[20], i1372[20])), java.lang.Object(IntList(o9257[20], i1372[20]))) → RETURN5413(java.lang.Object(ARRAY(i6[20], a14630data[20])), i636[20], java.lang.Object(IntList(o9257[20], i1372[20])), i1372[20]) which results in the following constraint:

    (109)    (o8924[7]=java.lang.Object(IntList(o9257[20], i1372[20]))∧o8925[7]=java.lang.Object(IntList(o9257[20], i1372[20]))∧i636[7]=i636[20]i6[7]=i6[20]a14630data[7]=a14630data[20]COND_LOAD51821(TRUE, java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], i1315[7], o8924[7])≥LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7])∧(UIncreasing(LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7])), ≥))



    We simplified constraint (109) using rules (III), (IV) which results in the following new constraint:

    (110)    (COND_LOAD51821(TRUE, java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], java.lang.Object(IntList(o9257[20], i1372[20])), i1315[7], java.lang.Object(IntList(o9257[20], i1372[20])))≥LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], java.lang.Object(IntList(o9257[20], i1372[20])), java.lang.Object(IntList(o9257[20], i1372[20])))∧(UIncreasing(LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7])), ≥))



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

    (111)    ((UIncreasing(LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7])), ≥)∧[(-1)bso_109] + [4]o9257[20] + i636[7] ≥ 0)



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

    (112)    ((UIncreasing(LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7])), ≥)∧[(-1)bso_109] + [4]o9257[20] + i636[7] ≥ 0)



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

    (113)    ((UIncreasing(LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7])), ≥)∧[(-1)bso_109] + [4]o9257[20] + i636[7] ≥ 0)



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

    (114)    ((UIncreasing(LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7])), ≥)∧0 ≥ 0∧0 ≥ 0∧[1] ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_109] ≥ 0∧[1] ≥ 0)







For Pair LOAD5182(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1315, NULL) → COND_LOAD51822(>(i1315, 1), java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1315) the following chains were created:
  • We consider the chain LOAD5182(java.lang.Object(ARRAY(i6[8], a14630data[8])), i636[8], o8925[8], i1315[8], NULL) → COND_LOAD51822(>(i1315[8], 1), java.lang.Object(ARRAY(i6[8], a14630data[8])), i636[8], o8925[8], i1315[8]), COND_LOAD51822(TRUE, java.lang.Object(ARRAY(i6[9], a14630data[9])), i636[9], o8925[9], i1315[9]) → LOAD5214(java.lang.Object(ARRAY(i6[9], a14630data[9])), i636[9], o8925[9], NULL) which results in the following constraint:

    (115)    (i636[8]=i636[9]>(i1315[8], 1)=TRUEo8925[8]=o8925[9]i6[8]=i6[9]a14630data[8]=a14630data[9]i1315[8]=i1315[9]LOAD5182(java.lang.Object(ARRAY(i6[8], a14630data[8])), i636[8], o8925[8], i1315[8], NULL)≥COND_LOAD51822(>(i1315[8], 1), java.lang.Object(ARRAY(i6[8], a14630data[8])), i636[8], o8925[8], i1315[8])∧(UIncreasing(COND_LOAD51822(>(i1315[8], 1), java.lang.Object(ARRAY(i6[8], a14630data[8])), i636[8], o8925[8], i1315[8])), ≥))



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

    (116)    (>(i1315[8], 1)=TRUELOAD5182(java.lang.Object(ARRAY(i6[8], a14630data[8])), i636[8], o8925[8], i1315[8], NULL)≥COND_LOAD51822(>(i1315[8], 1), java.lang.Object(ARRAY(i6[8], a14630data[8])), i636[8], o8925[8], i1315[8])∧(UIncreasing(COND_LOAD51822(>(i1315[8], 1), java.lang.Object(ARRAY(i6[8], a14630data[8])), i636[8], o8925[8], i1315[8])), ≥))



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

    (117)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD51822(>(i1315[8], 1), java.lang.Object(ARRAY(i6[8], a14630data[8])), i636[8], o8925[8], i1315[8])), ≥)∧[1 + (-1)bso_110] ≥ 0)



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

    (118)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD51822(>(i1315[8], 1), java.lang.Object(ARRAY(i6[8], a14630data[8])), i636[8], o8925[8], i1315[8])), ≥)∧[1 + (-1)bso_110] ≥ 0)



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

    (119)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD51822(>(i1315[8], 1), java.lang.Object(ARRAY(i6[8], a14630data[8])), i636[8], o8925[8], i1315[8])), ≥)∧[1 + (-1)bso_110] ≥ 0)



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

    (120)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD51822(>(i1315[8], 1), java.lang.Object(ARRAY(i6[8], a14630data[8])), i636[8], o8925[8], i1315[8])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[1 + (-1)bso_110] ≥ 0)







For Pair COND_LOAD51822(TRUE, java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1315) → LOAD5214(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, NULL) the following chains were created:
  • We consider the chain LOAD5182(java.lang.Object(ARRAY(i6[8], a14630data[8])), i636[8], o8925[8], i1315[8], NULL) → COND_LOAD51822(>(i1315[8], 1), java.lang.Object(ARRAY(i6[8], a14630data[8])), i636[8], o8925[8], i1315[8]), COND_LOAD51822(TRUE, java.lang.Object(ARRAY(i6[9], a14630data[9])), i636[9], o8925[9], i1315[9]) → LOAD5214(java.lang.Object(ARRAY(i6[9], a14630data[9])), i636[9], o8925[9], NULL), LOAD5214(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], o8925[12], java.lang.Object(IntList(o9251[12], i1370[12]))) → LOAD3666(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], o8925[12], i1370[12]) which results in the following constraint:

    (121)    (COND_LOAD51822(TRUE, java.lang.Object(ARRAY(i6[9], a14630data[9])), i636[9], o8925[9], i1315[9])≥LOAD5214(java.lang.Object(ARRAY(i6[9], a14630data[9])), i636[9], o8925[9], NULL)∧(UIncreasing(LOAD5214(java.lang.Object(ARRAY(i6[9], a14630data[9])), i636[9], o8925[9], NULL)), ≥))



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

    (122)    ((UIncreasing(LOAD5214(java.lang.Object(ARRAY(i6[9], a14630data[9])), i636[9], o8925[9], NULL)), ≥)∧[1 + (-1)bso_111] + o8925[9] + i636[9] ≥ 0)



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

    (123)    ((UIncreasing(LOAD5214(java.lang.Object(ARRAY(i6[9], a14630data[9])), i636[9], o8925[9], NULL)), ≥)∧[1 + (-1)bso_111] + o8925[9] + i636[9] ≥ 0)



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

    (124)    ((UIncreasing(LOAD5214(java.lang.Object(ARRAY(i6[9], a14630data[9])), i636[9], o8925[9], NULL)), ≥)∧[1 + (-1)bso_111] + o8925[9] + i636[9] ≥ 0)



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

    (125)    ((UIncreasing(LOAD5214(java.lang.Object(ARRAY(i6[9], a14630data[9])), i636[9], o8925[9], NULL)), ≥)∧0 ≥ 0∧[1] ≥ 0∧[1] ≥ 0∧0 ≥ 0∧0 ≥ 0∧[1 + (-1)bso_111] ≥ 0)



  • We consider the chain LOAD5182(java.lang.Object(ARRAY(i6[8], a14630data[8])), i636[8], o8925[8], i1315[8], NULL) → COND_LOAD51822(>(i1315[8], 1), java.lang.Object(ARRAY(i6[8], a14630data[8])), i636[8], o8925[8], i1315[8]), COND_LOAD51822(TRUE, java.lang.Object(ARRAY(i6[9], a14630data[9])), i636[9], o8925[9], i1315[9]) → LOAD5214(java.lang.Object(ARRAY(i6[9], a14630data[9])), i636[9], o8925[9], NULL), LOAD5214(java.lang.Object(ARRAY(i6[17], a14630data[17])), i636[17], o8925[17], NULL) → STORE5482(java.lang.Object(ARRAY(i6[17], a14630data[17])), i636[17], o8925[17], 0) which results in the following constraint:

    (126)    (i636[8]=i636[9]>(i1315[8], 1)=TRUEo8925[8]=o8925[9]i6[8]=i6[9]a14630data[8]=a14630data[9]i1315[8]=i1315[9]o8925[9]=o8925[17]i6[9]=i6[17]a14630data[9]=a14630data[17]i636[9]=i636[17]COND_LOAD51822(TRUE, java.lang.Object(ARRAY(i6[9], a14630data[9])), i636[9], o8925[9], i1315[9])≥LOAD5214(java.lang.Object(ARRAY(i6[9], a14630data[9])), i636[9], o8925[9], NULL)∧(UIncreasing(LOAD5214(java.lang.Object(ARRAY(i6[9], a14630data[9])), i636[9], o8925[9], NULL)), ≥))



    We simplified constraint (126) using rules (III), (IV) which results in the following new constraint:

    (127)    (>(i1315[8], 1)=TRUECOND_LOAD51822(TRUE, java.lang.Object(ARRAY(i6[8], a14630data[8])), i636[8], o8925[8], i1315[8])≥LOAD5214(java.lang.Object(ARRAY(i6[8], a14630data[8])), i636[8], o8925[8], NULL)∧(UIncreasing(LOAD5214(java.lang.Object(ARRAY(i6[9], a14630data[9])), i636[9], o8925[9], NULL)), ≥))



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

    (128)    (0 ≥ 0 ⇒ (UIncreasing(LOAD5214(java.lang.Object(ARRAY(i6[9], a14630data[9])), i636[9], o8925[9], NULL)), ≥)∧[1 + (-1)bso_111] + o8925[8] + i636[8] ≥ 0)



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

    (129)    (0 ≥ 0 ⇒ (UIncreasing(LOAD5214(java.lang.Object(ARRAY(i6[9], a14630data[9])), i636[9], o8925[9], NULL)), ≥)∧[1 + (-1)bso_111] + o8925[8] + i636[8] ≥ 0)



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

    (130)    (0 ≥ 0 ⇒ (UIncreasing(LOAD5214(java.lang.Object(ARRAY(i6[9], a14630data[9])), i636[9], o8925[9], NULL)), ≥)∧[1 + (-1)bso_111] + o8925[8] + i636[8] ≥ 0)



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

    (131)    (0 ≥ 0 ⇒ (UIncreasing(LOAD5214(java.lang.Object(ARRAY(i6[9], a14630data[9])), i636[9], o8925[9], NULL)), ≥)∧0 ≥ 0∧[1] ≥ 0∧[1] ≥ 0∧0 ≥ 0∧0 ≥ 0∧[1 + (-1)bso_111] ≥ 0)



  • We consider the chain LOAD5182(java.lang.Object(ARRAY(i6[8], a14630data[8])), i636[8], o8925[8], i1315[8], NULL) → COND_LOAD51822(>(i1315[8], 1), java.lang.Object(ARRAY(i6[8], a14630data[8])), i636[8], o8925[8], i1315[8]), COND_LOAD51822(TRUE, java.lang.Object(ARRAY(i6[9], a14630data[9])), i636[9], o8925[9], i1315[9]) → LOAD5214(java.lang.Object(ARRAY(i6[9], a14630data[9])), i636[9], o8925[9], NULL), LOAD5214(java.lang.Object(ARRAY(i6[20], a14630data[20])), i636[20], java.lang.Object(IntList(o9257[20], i1372[20])), java.lang.Object(IntList(o9257[20], i1372[20]))) → RETURN5413(java.lang.Object(ARRAY(i6[20], a14630data[20])), i636[20], java.lang.Object(IntList(o9257[20], i1372[20])), i1372[20]) which results in the following constraint:

    (132)    (COND_LOAD51822(TRUE, java.lang.Object(ARRAY(i6[9], a14630data[9])), i636[9], o8925[9], i1315[9])≥LOAD5214(java.lang.Object(ARRAY(i6[9], a14630data[9])), i636[9], o8925[9], NULL)∧(UIncreasing(LOAD5214(java.lang.Object(ARRAY(i6[9], a14630data[9])), i636[9], o8925[9], NULL)), ≥))



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

    (133)    ((UIncreasing(LOAD5214(java.lang.Object(ARRAY(i6[9], a14630data[9])), i636[9], o8925[9], NULL)), ≥)∧[1 + (-1)bso_111] + o8925[9] + i636[9] ≥ 0)



    We simplified constraint (133) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (134)    ((UIncreasing(LOAD5214(java.lang.Object(ARRAY(i6[9], a14630data[9])), i636[9], o8925[9], NULL)), ≥)∧[1 + (-1)bso_111] + o8925[9] + i636[9] ≥ 0)



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

    (135)    ((UIncreasing(LOAD5214(java.lang.Object(ARRAY(i6[9], a14630data[9])), i636[9], o8925[9], NULL)), ≥)∧[1 + (-1)bso_111] + o8925[9] + i636[9] ≥ 0)



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

    (136)    ((UIncreasing(LOAD5214(java.lang.Object(ARRAY(i6[9], a14630data[9])), i636[9], o8925[9], NULL)), ≥)∧0 ≥ 0∧[1] ≥ 0∧[1] ≥ 0∧0 ≥ 0∧0 ≥ 0∧[1 + (-1)bso_111] ≥ 0)







For Pair STORE5482(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1370) → LOAD3666(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1370) the following chains were created:
  • We consider the chain STORE5482(java.lang.Object(ARRAY(i6[10], a14630data[10])), i636[10], o8925[10], i1370[10]) → LOAD3666(java.lang.Object(ARRAY(i6[10], a14630data[10])), i636[10], o8925[10], i1370[10]), LOAD3666(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0]) → LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0]))) which results in the following constraint:

    (137)    (o8925[10]=java.lang.Object(IntList(o5524[0], i503[0]))∧i636[10]=i123[0]i6[10]=i6[0]a14630data[10]=a8555data[0]i1370[10]=i500[0]STORE5482(java.lang.Object(ARRAY(i6[10], a14630data[10])), i636[10], o8925[10], i1370[10])≥LOAD3666(java.lang.Object(ARRAY(i6[10], a14630data[10])), i636[10], o8925[10], i1370[10])∧(UIncreasing(LOAD3666(java.lang.Object(ARRAY(i6[10], a14630data[10])), i636[10], o8925[10], i1370[10])), ≥))



    We simplified constraint (137) using rules (III), (IV) which results in the following new constraint:

    (138)    (STORE5482(java.lang.Object(ARRAY(i6[10], a14630data[10])), i636[10], java.lang.Object(IntList(o5524[0], i503[0])), i1370[10])≥LOAD3666(java.lang.Object(ARRAY(i6[10], a14630data[10])), i636[10], java.lang.Object(IntList(o5524[0], i503[0])), i1370[10])∧(UIncreasing(LOAD3666(java.lang.Object(ARRAY(i6[10], a14630data[10])), i636[10], o8925[10], i1370[10])), ≥))



    We simplified constraint (138) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (139)    ((UIncreasing(LOAD3666(java.lang.Object(ARRAY(i6[10], a14630data[10])), i636[10], o8925[10], i1370[10])), ≥)∧[(-1)bso_112] ≥ 0)



    We simplified constraint (139) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (140)    ((UIncreasing(LOAD3666(java.lang.Object(ARRAY(i6[10], a14630data[10])), i636[10], o8925[10], i1370[10])), ≥)∧[(-1)bso_112] ≥ 0)



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

    (141)    ((UIncreasing(LOAD3666(java.lang.Object(ARRAY(i6[10], a14630data[10])), i636[10], o8925[10], i1370[10])), ≥)∧[(-1)bso_112] ≥ 0)



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

    (142)    ((UIncreasing(LOAD3666(java.lang.Object(ARRAY(i6[10], a14630data[10])), i636[10], o8925[10], i1370[10])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_112] ≥ 0)







For Pair RETURN5413(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1370) → LOAD3666(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1370) the following chains were created:
  • We consider the chain RETURN5413(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], o8925[11], i1370[11]) → LOAD3666(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], o8925[11], i1370[11]), LOAD3666(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0]) → LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0]))) which results in the following constraint:

    (143)    (i636[11]=i123[0]i1370[11]=i500[0]i6[11]=i6[0]a14630data[11]=a8555data[0]o8925[11]=java.lang.Object(IntList(o5524[0], i503[0])) ⇒ RETURN5413(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], o8925[11], i1370[11])≥LOAD3666(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], o8925[11], i1370[11])∧(UIncreasing(LOAD3666(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], o8925[11], i1370[11])), ≥))



    We simplified constraint (143) using rules (III), (IV) which results in the following new constraint:

    (144)    (RETURN5413(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], java.lang.Object(IntList(o5524[0], i503[0])), i1370[11])≥LOAD3666(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], java.lang.Object(IntList(o5524[0], i503[0])), i1370[11])∧(UIncreasing(LOAD3666(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], o8925[11], i1370[11])), ≥))



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

    (145)    ((UIncreasing(LOAD3666(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], o8925[11], i1370[11])), ≥)∧[(-1)bso_113] ≥ 0)



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

    (146)    ((UIncreasing(LOAD3666(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], o8925[11], i1370[11])), ≥)∧[(-1)bso_113] ≥ 0)



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

    (147)    ((UIncreasing(LOAD3666(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], o8925[11], i1370[11])), ≥)∧[(-1)bso_113] ≥ 0)



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

    (148)    ((UIncreasing(LOAD3666(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], o8925[11], i1370[11])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_113] ≥ 0)







For Pair LOAD5214(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, java.lang.Object(IntList(o9251, i1370))) → LOAD3666(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1370) the following chains were created:
  • We consider the chain COND_LOAD51821(TRUE, java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], i1315[7], o8924[7]) → LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7]), LOAD5214(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], o8925[12], java.lang.Object(IntList(o9251[12], i1370[12]))) → LOAD3666(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], o8925[12], i1370[12]), LOAD3666(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0]) → LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0]))) which results in the following constraint:

    (149)    (o8924[7]=java.lang.Object(IntList(o9251[12], i1370[12]))∧i6[7]=i6[12]a14630data[7]=a14630data[12]o8925[7]=o8925[12]i636[7]=i636[12]o8925[12]=java.lang.Object(IntList(o5524[0], i503[0]))∧i636[12]=i123[0]i1370[12]=i500[0]i6[12]=i6[0]a14630data[12]=a8555data[0]LOAD5214(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], o8925[12], java.lang.Object(IntList(o9251[12], i1370[12])))≥LOAD3666(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], o8925[12], i1370[12])∧(UIncreasing(LOAD3666(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], o8925[12], i1370[12])), ≥))



    We simplified constraint (149) using rules (III), (IV) which results in the following new constraint:

    (150)    (LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], java.lang.Object(IntList(o5524[0], i503[0])), java.lang.Object(IntList(o9251[12], i1370[12])))≥LOAD3666(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], java.lang.Object(IntList(o5524[0], i503[0])), i1370[12])∧(UIncreasing(LOAD3666(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], o8925[12], i1370[12])), ≥))



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

    (151)    ((UIncreasing(LOAD3666(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], o8925[12], i1370[12])), ≥)∧[(-1)bso_114] + i636[7] ≥ 0)



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

    (152)    ((UIncreasing(LOAD3666(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], o8925[12], i1370[12])), ≥)∧[(-1)bso_114] + i636[7] ≥ 0)



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

    (153)    ((UIncreasing(LOAD3666(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], o8925[12], i1370[12])), ≥)∧[(-1)bso_114] + i636[7] ≥ 0)



    We simplified constraint (153) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (154)    ((UIncreasing(LOAD3666(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], o8925[12], i1370[12])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[1] ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_114] ≥ 0)



  • We consider the chain COND_LOAD51822(TRUE, java.lang.Object(ARRAY(i6[9], a14630data[9])), i636[9], o8925[9], i1315[9]) → LOAD5214(java.lang.Object(ARRAY(i6[9], a14630data[9])), i636[9], o8925[9], NULL), LOAD5214(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], o8925[12], java.lang.Object(IntList(o9251[12], i1370[12]))) → LOAD3666(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], o8925[12], i1370[12]), LOAD3666(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0]) → LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0]))) which results in the following constraint:

    (155)    (LOAD5214(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], o8925[12], java.lang.Object(IntList(o9251[12], i1370[12])))≥LOAD3666(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], o8925[12], i1370[12])∧(UIncreasing(LOAD3666(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], o8925[12], i1370[12])), ≥))



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

    (156)    ((UIncreasing(LOAD3666(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], o8925[12], i1370[12])), ≥)∧[(-1)bso_114] + i636[12] ≥ 0)



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

    (157)    ((UIncreasing(LOAD3666(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], o8925[12], i1370[12])), ≥)∧[(-1)bso_114] + i636[12] ≥ 0)



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

    (158)    ((UIncreasing(LOAD3666(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], o8925[12], i1370[12])), ≥)∧[(-1)bso_114] + i636[12] ≥ 0)



    We simplified constraint (158) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (159)    ((UIncreasing(LOAD3666(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], o8925[12], i1370[12])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[1] ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_114] ≥ 0)







For Pair LOAD5182(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1314, java.lang.Object(IntList(o9251, i1370))) → COND_LOAD51823(<=(i1314, 1), java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1314, java.lang.Object(IntList(o9251, i1370))) the following chains were created:
  • We consider the chain LOAD5182(java.lang.Object(ARRAY(i6[13], a14630data[13])), i636[13], o8925[13], i1314[13], java.lang.Object(IntList(o9251[13], i1370[13]))) → COND_LOAD51823(<=(i1314[13], 1), java.lang.Object(ARRAY(i6[13], a14630data[13])), i636[13], o8925[13], i1314[13], java.lang.Object(IntList(o9251[13], i1370[13]))), COND_LOAD51823(TRUE, java.lang.Object(ARRAY(i6[14], a14630data[14])), i636[14], o8925[14], i1314[14], java.lang.Object(IntList(o9251[14], i1370[14]))) → LOAD3666(java.lang.Object(ARRAY(i6[14], a14630data[14])), i636[14], o8925[14], i1370[14]) which results in the following constraint:

    (160)    (i1314[13]=i1314[14]i6[13]=i6[14]a14630data[13]=a14630data[14]o8925[13]=o8925[14]<=(i1314[13], 1)=TRUEi636[13]=i636[14]o9251[13]=o9251[14]i1370[13]=i1370[14]LOAD5182(java.lang.Object(ARRAY(i6[13], a14630data[13])), i636[13], o8925[13], i1314[13], java.lang.Object(IntList(o9251[13], i1370[13])))≥COND_LOAD51823(<=(i1314[13], 1), java.lang.Object(ARRAY(i6[13], a14630data[13])), i636[13], o8925[13], i1314[13], java.lang.Object(IntList(o9251[13], i1370[13])))∧(UIncreasing(COND_LOAD51823(<=(i1314[13], 1), java.lang.Object(ARRAY(i6[13], a14630data[13])), i636[13], o8925[13], i1314[13], java.lang.Object(IntList(o9251[13], i1370[13])))), ≥))



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

    (161)    (<=(i1314[13], 1)=TRUELOAD5182(java.lang.Object(ARRAY(i6[13], a14630data[13])), i636[13], o8925[13], i1314[13], java.lang.Object(IntList(o9251[13], i1370[13])))≥COND_LOAD51823(<=(i1314[13], 1), java.lang.Object(ARRAY(i6[13], a14630data[13])), i636[13], o8925[13], i1314[13], java.lang.Object(IntList(o9251[13], i1370[13])))∧(UIncreasing(COND_LOAD51823(<=(i1314[13], 1), java.lang.Object(ARRAY(i6[13], a14630data[13])), i636[13], o8925[13], i1314[13], java.lang.Object(IntList(o9251[13], i1370[13])))), ≥))



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

    (162)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD51823(<=(i1314[13], 1), java.lang.Object(ARRAY(i6[13], a14630data[13])), i636[13], o8925[13], i1314[13], java.lang.Object(IntList(o9251[13], i1370[13])))), ≥)∧[(-1)bso_115] + [4]o9251[13] ≥ 0)



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

    (163)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD51823(<=(i1314[13], 1), java.lang.Object(ARRAY(i6[13], a14630data[13])), i636[13], o8925[13], i1314[13], java.lang.Object(IntList(o9251[13], i1370[13])))), ≥)∧[(-1)bso_115] + [4]o9251[13] ≥ 0)



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

    (164)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD51823(<=(i1314[13], 1), java.lang.Object(ARRAY(i6[13], a14630data[13])), i636[13], o8925[13], i1314[13], java.lang.Object(IntList(o9251[13], i1370[13])))), ≥)∧[(-1)bso_115] + [4]o9251[13] ≥ 0)



    We simplified constraint (164) using rules (IDP_UNRESTRICTED_VARS), (IDP_POLY_GCD) which results in the following new constraint:

    (165)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD51823(<=(i1314[13], 1), java.lang.Object(ARRAY(i6[13], a14630data[13])), i636[13], o8925[13], i1314[13], java.lang.Object(IntList(o9251[13], i1370[13])))), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_115] ≥ 0∧[1] ≥ 0)







For Pair COND_LOAD51823(TRUE, java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1314, java.lang.Object(IntList(o9251, i1370))) → LOAD3666(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1370) the following chains were created:
  • We consider the chain LOAD5182(java.lang.Object(ARRAY(i6[13], a14630data[13])), i636[13], o8925[13], i1314[13], java.lang.Object(IntList(o9251[13], i1370[13]))) → COND_LOAD51823(<=(i1314[13], 1), java.lang.Object(ARRAY(i6[13], a14630data[13])), i636[13], o8925[13], i1314[13], java.lang.Object(IntList(o9251[13], i1370[13]))), COND_LOAD51823(TRUE, java.lang.Object(ARRAY(i6[14], a14630data[14])), i636[14], o8925[14], i1314[14], java.lang.Object(IntList(o9251[14], i1370[14]))) → LOAD3666(java.lang.Object(ARRAY(i6[14], a14630data[14])), i636[14], o8925[14], i1370[14]), LOAD3666(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0]) → LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0]))) which results in the following constraint:

    (166)    (i1314[13]=i1314[14]i6[13]=i6[14]a14630data[13]=a14630data[14]o8925[13]=o8925[14]<=(i1314[13], 1)=TRUEi636[13]=i636[14]o9251[13]=o9251[14]i1370[13]=i1370[14]i1370[14]=i500[0]o8925[14]=java.lang.Object(IntList(o5524[0], i503[0]))∧i636[14]=i123[0]i6[14]=i6[0]a14630data[14]=a8555data[0]COND_LOAD51823(TRUE, java.lang.Object(ARRAY(i6[14], a14630data[14])), i636[14], o8925[14], i1314[14], java.lang.Object(IntList(o9251[14], i1370[14])))≥LOAD3666(java.lang.Object(ARRAY(i6[14], a14630data[14])), i636[14], o8925[14], i1370[14])∧(UIncreasing(LOAD3666(java.lang.Object(ARRAY(i6[14], a14630data[14])), i636[14], o8925[14], i1370[14])), ≥))



    We simplified constraint (166) using rules (III), (IV) which results in the following new constraint:

    (167)    (<=(i1314[13], 1)=TRUECOND_LOAD51823(TRUE, java.lang.Object(ARRAY(i6[13], a14630data[13])), i636[13], java.lang.Object(IntList(o5524[0], i503[0])), i1314[13], java.lang.Object(IntList(o9251[13], i1370[13])))≥LOAD3666(java.lang.Object(ARRAY(i6[13], a14630data[13])), i636[13], java.lang.Object(IntList(o5524[0], i503[0])), i1370[13])∧(UIncreasing(LOAD3666(java.lang.Object(ARRAY(i6[14], a14630data[14])), i636[14], o8925[14], i1370[14])), ≥))



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

    (168)    (0 ≥ 0 ⇒ (UIncreasing(LOAD3666(java.lang.Object(ARRAY(i6[14], a14630data[14])), i636[14], o8925[14], i1370[14])), ≥)∧[(-1)bso_116] + [4]o5524[0] + [2]i636[13] ≥ 0)



    We simplified constraint (168) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (169)    (0 ≥ 0 ⇒ (UIncreasing(LOAD3666(java.lang.Object(ARRAY(i6[14], a14630data[14])), i636[14], o8925[14], i1370[14])), ≥)∧[(-1)bso_116] + [4]o5524[0] + [2]i636[13] ≥ 0)



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

    (170)    (0 ≥ 0 ⇒ (UIncreasing(LOAD3666(java.lang.Object(ARRAY(i6[14], a14630data[14])), i636[14], o8925[14], i1370[14])), ≥)∧[(-1)bso_116] + [4]o5524[0] + [2]i636[13] ≥ 0)



    We simplified constraint (170) using rules (IDP_UNRESTRICTED_VARS), (IDP_POLY_GCD) which results in the following new constraint:

    (171)    (0 ≥ 0 ⇒ (UIncreasing(LOAD3666(java.lang.Object(ARRAY(i6[14], a14630data[14])), i636[14], o8925[14], i1370[14])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_116] ≥ 0∧[1] ≥ 0∧[1] ≥ 0)







For Pair LOAD5182(java.lang.Object(ARRAY(i6, a14630data)), i636, java.lang.Object(IntList(o9408, i1398)), i1315, java.lang.Object(IntList(o9408, i1398))) → COND_LOAD51824(>(i1315, 1), java.lang.Object(ARRAY(i6, a14630data)), i636, i1315, java.lang.Object(IntList(o9408, i1398))) the following chains were created:
  • We consider the chain LOAD5182(java.lang.Object(ARRAY(i6[15], a14630data[15])), i636[15], java.lang.Object(IntList(o9408[15], i1398[15])), i1315[15], java.lang.Object(IntList(o9408[15], i1398[15]))) → COND_LOAD51824(>(i1315[15], 1), java.lang.Object(ARRAY(i6[15], a14630data[15])), i636[15], i1315[15], java.lang.Object(IntList(o9408[15], i1398[15]))), COND_LOAD51824(TRUE, java.lang.Object(ARRAY(i6[16], a14630data[16])), i636[16], i1315[16], java.lang.Object(IntList(o9408[16], i1398[16]))) → JMP5555'(java.lang.Object(ARRAY(i6[16], a14630data[16])), i636[16], java.lang.Object(IntList(o9408[16], i1398[16])), +(i1315[16], -1), o9408[16]) which results in the following constraint:

    (172)    (o9408[15]=o9408[16]i1398[15]=i1398[16]i6[15]=i6[16]a14630data[15]=a14630data[16]i636[15]=i636[16]i1315[15]=i1315[16]>(i1315[15], 1)=TRUELOAD5182(java.lang.Object(ARRAY(i6[15], a14630data[15])), i636[15], java.lang.Object(IntList(o9408[15], i1398[15])), i1315[15], java.lang.Object(IntList(o9408[15], i1398[15])))≥COND_LOAD51824(>(i1315[15], 1), java.lang.Object(ARRAY(i6[15], a14630data[15])), i636[15], i1315[15], java.lang.Object(IntList(o9408[15], i1398[15])))∧(UIncreasing(COND_LOAD51824(>(i1315[15], 1), java.lang.Object(ARRAY(i6[15], a14630data[15])), i636[15], i1315[15], java.lang.Object(IntList(o9408[15], i1398[15])))), ≥))



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

    (173)    (>(i1315[15], 1)=TRUELOAD5182(java.lang.Object(ARRAY(i6[15], a14630data[15])), i636[15], java.lang.Object(IntList(o9408[15], i1398[15])), i1315[15], java.lang.Object(IntList(o9408[15], i1398[15])))≥COND_LOAD51824(>(i1315[15], 1), java.lang.Object(ARRAY(i6[15], a14630data[15])), i636[15], i1315[15], java.lang.Object(IntList(o9408[15], i1398[15])))∧(UIncreasing(COND_LOAD51824(>(i1315[15], 1), java.lang.Object(ARRAY(i6[15], a14630data[15])), i636[15], i1315[15], java.lang.Object(IntList(o9408[15], i1398[15])))), ≥))



    We simplified constraint (173) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (174)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD51824(>(i1315[15], 1), java.lang.Object(ARRAY(i6[15], a14630data[15])), i636[15], i1315[15], java.lang.Object(IntList(o9408[15], i1398[15])))), ≥)∧[(-1)bso_117] ≥ 0)



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

    (175)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD51824(>(i1315[15], 1), java.lang.Object(ARRAY(i6[15], a14630data[15])), i636[15], i1315[15], java.lang.Object(IntList(o9408[15], i1398[15])))), ≥)∧[(-1)bso_117] ≥ 0)



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

    (176)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD51824(>(i1315[15], 1), java.lang.Object(ARRAY(i6[15], a14630data[15])), i636[15], i1315[15], java.lang.Object(IntList(o9408[15], i1398[15])))), ≥)∧[(-1)bso_117] ≥ 0)



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

    (177)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD51824(>(i1315[15], 1), java.lang.Object(ARRAY(i6[15], a14630data[15])), i636[15], i1315[15], java.lang.Object(IntList(o9408[15], i1398[15])))), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_117] ≥ 0)







For Pair COND_LOAD51824(TRUE, java.lang.Object(ARRAY(i6, a14630data)), i636, i1315, java.lang.Object(IntList(o9408, i1398))) → JMP5555'(java.lang.Object(ARRAY(i6, a14630data)), i636, java.lang.Object(IntList(o9408, i1398)), +(i1315, -1), o9408) the following chains were created:
  • We consider the chain LOAD5182(java.lang.Object(ARRAY(i6[15], a14630data[15])), i636[15], java.lang.Object(IntList(o9408[15], i1398[15])), i1315[15], java.lang.Object(IntList(o9408[15], i1398[15]))) → COND_LOAD51824(>(i1315[15], 1), java.lang.Object(ARRAY(i6[15], a14630data[15])), i636[15], i1315[15], java.lang.Object(IntList(o9408[15], i1398[15]))), COND_LOAD51824(TRUE, java.lang.Object(ARRAY(i6[16], a14630data[16])), i636[16], i1315[16], java.lang.Object(IntList(o9408[16], i1398[16]))) → JMP5555'(java.lang.Object(ARRAY(i6[16], a14630data[16])), i636[16], java.lang.Object(IntList(o9408[16], i1398[16])), +(i1315[16], -1), o9408[16]), JMP5555'(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3]) → LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3]) which results in the following constraint:

    (178)    (o9408[15]=o9408[16]i1398[15]=i1398[16]i6[15]=i6[16]a14630data[15]=a14630data[16]i636[15]=i636[16]i1315[15]=i1315[16]>(i1315[15], 1)=TRUE+(i1315[16], -1)=i1365[3]java.lang.Object(IntList(o9408[16], i1398[16]))=o8925[3]o9408[16]=o9395[3]i6[16]=i6[3]a14630data[16]=a14630data[3]i636[16]=i636[3]COND_LOAD51824(TRUE, java.lang.Object(ARRAY(i6[16], a14630data[16])), i636[16], i1315[16], java.lang.Object(IntList(o9408[16], i1398[16])))≥JMP5555'(java.lang.Object(ARRAY(i6[16], a14630data[16])), i636[16], java.lang.Object(IntList(o9408[16], i1398[16])), +(i1315[16], -1), o9408[16])∧(UIncreasing(JMP5555'(java.lang.Object(ARRAY(i6[16], a14630data[16])), i636[16], java.lang.Object(IntList(o9408[16], i1398[16])), +(i1315[16], -1), o9408[16])), ≥))



    We simplified constraint (178) using rules (III), (IV) which results in the following new constraint:

    (179)    (>(i1315[15], 1)=TRUECOND_LOAD51824(TRUE, java.lang.Object(ARRAY(i6[15], a14630data[15])), i636[15], i1315[15], java.lang.Object(IntList(o9408[15], i1398[15])))≥JMP5555'(java.lang.Object(ARRAY(i6[15], a14630data[15])), i636[15], java.lang.Object(IntList(o9408[15], i1398[15])), +(i1315[15], -1), o9408[15])∧(UIncreasing(JMP5555'(java.lang.Object(ARRAY(i6[16], a14630data[16])), i636[16], java.lang.Object(IntList(o9408[16], i1398[16])), +(i1315[16], -1), o9408[16])), ≥))



    We simplified constraint (179) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (180)    (0 ≥ 0 ⇒ (UIncreasing(JMP5555'(java.lang.Object(ARRAY(i6[16], a14630data[16])), i636[16], java.lang.Object(IntList(o9408[16], i1398[16])), +(i1315[16], -1), o9408[16])), ≥)∧[(-1)bso_118] + [3]o9408[15] ≥ 0)



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

    (181)    (0 ≥ 0 ⇒ (UIncreasing(JMP5555'(java.lang.Object(ARRAY(i6[16], a14630data[16])), i636[16], java.lang.Object(IntList(o9408[16], i1398[16])), +(i1315[16], -1), o9408[16])), ≥)∧[(-1)bso_118] + [3]o9408[15] ≥ 0)



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

    (182)    (0 ≥ 0 ⇒ (UIncreasing(JMP5555'(java.lang.Object(ARRAY(i6[16], a14630data[16])), i636[16], java.lang.Object(IntList(o9408[16], i1398[16])), +(i1315[16], -1), o9408[16])), ≥)∧[(-1)bso_118] + [3]o9408[15] ≥ 0)



    We simplified constraint (182) using rules (IDP_UNRESTRICTED_VARS), (IDP_POLY_GCD) which results in the following new constraint:

    (183)    (0 ≥ 0 ⇒ (UIncreasing(JMP5555'(java.lang.Object(ARRAY(i6[16], a14630data[16])), i636[16], java.lang.Object(IntList(o9408[16], i1398[16])), +(i1315[16], -1), o9408[16])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_118] ≥ 0∧[1] ≥ 0)







For Pair LOAD5214(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, NULL) → STORE5482(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, 0) the following chains were created:
  • We consider the chain COND_LOAD51821(TRUE, java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], i1315[7], o8924[7]) → LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7]), LOAD5214(java.lang.Object(ARRAY(i6[17], a14630data[17])), i636[17], o8925[17], NULL) → STORE5482(java.lang.Object(ARRAY(i6[17], a14630data[17])), i636[17], o8925[17], 0), STORE5482(java.lang.Object(ARRAY(i6[10], a14630data[10])), i636[10], o8925[10], i1370[10]) → LOAD3666(java.lang.Object(ARRAY(i6[10], a14630data[10])), i636[10], o8925[10], i1370[10]) which results in the following constraint:

    (184)    (o8925[7]=o8925[17]i636[7]=i636[17]i6[7]=i6[17]a14630data[7]=a14630data[17]o8924[7]=NULLi636[17]=i636[10]0=i1370[10]i6[17]=i6[10]a14630data[17]=a14630data[10]o8925[17]=o8925[10]LOAD5214(java.lang.Object(ARRAY(i6[17], a14630data[17])), i636[17], o8925[17], NULL)≥STORE5482(java.lang.Object(ARRAY(i6[17], a14630data[17])), i636[17], o8925[17], 0)∧(UIncreasing(STORE5482(java.lang.Object(ARRAY(i6[17], a14630data[17])), i636[17], o8925[17], 0)), ≥))



    We simplified constraint (184) using rules (III), (IV) which results in the following new constraint:

    (185)    (LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], NULL)≥STORE5482(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], 0)∧(UIncreasing(STORE5482(java.lang.Object(ARRAY(i6[17], a14630data[17])), i636[17], o8925[17], 0)), ≥))



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

    (186)    ((UIncreasing(STORE5482(java.lang.Object(ARRAY(i6[17], a14630data[17])), i636[17], o8925[17], 0)), ≥)∧[(-1)bso_119] + i636[7] ≥ 0)



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

    (187)    ((UIncreasing(STORE5482(java.lang.Object(ARRAY(i6[17], a14630data[17])), i636[17], o8925[17], 0)), ≥)∧[(-1)bso_119] + i636[7] ≥ 0)



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

    (188)    ((UIncreasing(STORE5482(java.lang.Object(ARRAY(i6[17], a14630data[17])), i636[17], o8925[17], 0)), ≥)∧[(-1)bso_119] + i636[7] ≥ 0)



    We simplified constraint (188) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (189)    ((UIncreasing(STORE5482(java.lang.Object(ARRAY(i6[17], a14630data[17])), i636[17], o8925[17], 0)), ≥)∧0 ≥ 0∧[1] ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_119] ≥ 0)



  • We consider the chain COND_LOAD51822(TRUE, java.lang.Object(ARRAY(i6[9], a14630data[9])), i636[9], o8925[9], i1315[9]) → LOAD5214(java.lang.Object(ARRAY(i6[9], a14630data[9])), i636[9], o8925[9], NULL), LOAD5214(java.lang.Object(ARRAY(i6[17], a14630data[17])), i636[17], o8925[17], NULL) → STORE5482(java.lang.Object(ARRAY(i6[17], a14630data[17])), i636[17], o8925[17], 0), STORE5482(java.lang.Object(ARRAY(i6[10], a14630data[10])), i636[10], o8925[10], i1370[10]) → LOAD3666(java.lang.Object(ARRAY(i6[10], a14630data[10])), i636[10], o8925[10], i1370[10]) which results in the following constraint:

    (190)    (o8925[9]=o8925[17]i6[9]=i6[17]a14630data[9]=a14630data[17]i636[9]=i636[17]i636[17]=i636[10]0=i1370[10]i6[17]=i6[10]a14630data[17]=a14630data[10]o8925[17]=o8925[10]LOAD5214(java.lang.Object(ARRAY(i6[17], a14630data[17])), i636[17], o8925[17], NULL)≥STORE5482(java.lang.Object(ARRAY(i6[17], a14630data[17])), i636[17], o8925[17], 0)∧(UIncreasing(STORE5482(java.lang.Object(ARRAY(i6[17], a14630data[17])), i636[17], o8925[17], 0)), ≥))



    We simplified constraint (190) using rules (III), (IV) which results in the following new constraint:

    (191)    (LOAD5214(java.lang.Object(ARRAY(i6[9], a14630data[9])), i636[9], o8925[9], NULL)≥STORE5482(java.lang.Object(ARRAY(i6[9], a14630data[9])), i636[9], o8925[9], 0)∧(UIncreasing(STORE5482(java.lang.Object(ARRAY(i6[17], a14630data[17])), i636[17], o8925[17], 0)), ≥))



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

    (192)    ((UIncreasing(STORE5482(java.lang.Object(ARRAY(i6[17], a14630data[17])), i636[17], o8925[17], 0)), ≥)∧[(-1)bso_119] + i636[9] ≥ 0)



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

    (193)    ((UIncreasing(STORE5482(java.lang.Object(ARRAY(i6[17], a14630data[17])), i636[17], o8925[17], 0)), ≥)∧[(-1)bso_119] + i636[9] ≥ 0)



    We simplified constraint (193) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (194)    ((UIncreasing(STORE5482(java.lang.Object(ARRAY(i6[17], a14630data[17])), i636[17], o8925[17], 0)), ≥)∧[(-1)bso_119] + i636[9] ≥ 0)



    We simplified constraint (194) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (195)    ((UIncreasing(STORE5482(java.lang.Object(ARRAY(i6[17], a14630data[17])), i636[17], o8925[17], 0)), ≥)∧0 ≥ 0∧[1] ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_119] ≥ 0)







For Pair LOAD5182(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1314, NULL) → COND_LOAD51825(<=(i1314, 1), java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1314) the following chains were created:
  • We consider the chain LOAD5182(java.lang.Object(ARRAY(i6[18], a14630data[18])), i636[18], o8925[18], i1314[18], NULL) → COND_LOAD51825(<=(i1314[18], 1), java.lang.Object(ARRAY(i6[18], a14630data[18])), i636[18], o8925[18], i1314[18]), COND_LOAD51825(TRUE, java.lang.Object(ARRAY(i6[19], a14630data[19])), i636[19], o8925[19], i1314[19]) → STORE5482(java.lang.Object(ARRAY(i6[19], a14630data[19])), i636[19], o8925[19], 0) which results in the following constraint:

    (196)    (<=(i1314[18], 1)=TRUEi636[18]=i636[19]i6[18]=i6[19]a14630data[18]=a14630data[19]i1314[18]=i1314[19]o8925[18]=o8925[19]LOAD5182(java.lang.Object(ARRAY(i6[18], a14630data[18])), i636[18], o8925[18], i1314[18], NULL)≥COND_LOAD51825(<=(i1314[18], 1), java.lang.Object(ARRAY(i6[18], a14630data[18])), i636[18], o8925[18], i1314[18])∧(UIncreasing(COND_LOAD51825(<=(i1314[18], 1), java.lang.Object(ARRAY(i6[18], a14630data[18])), i636[18], o8925[18], i1314[18])), ≥))



    We simplified constraint (196) using rule (IV) which results in the following new constraint:

    (197)    (<=(i1314[18], 1)=TRUELOAD5182(java.lang.Object(ARRAY(i6[18], a14630data[18])), i636[18], o8925[18], i1314[18], NULL)≥COND_LOAD51825(<=(i1314[18], 1), java.lang.Object(ARRAY(i6[18], a14630data[18])), i636[18], o8925[18], i1314[18])∧(UIncreasing(COND_LOAD51825(<=(i1314[18], 1), java.lang.Object(ARRAY(i6[18], a14630data[18])), i636[18], o8925[18], i1314[18])), ≥))



    We simplified constraint (197) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (198)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD51825(<=(i1314[18], 1), java.lang.Object(ARRAY(i6[18], a14630data[18])), i636[18], o8925[18], i1314[18])), ≥)∧[(-1)bso_120] ≥ 0)



    We simplified constraint (198) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (199)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD51825(<=(i1314[18], 1), java.lang.Object(ARRAY(i6[18], a14630data[18])), i636[18], o8925[18], i1314[18])), ≥)∧[(-1)bso_120] ≥ 0)



    We simplified constraint (199) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (200)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD51825(<=(i1314[18], 1), java.lang.Object(ARRAY(i6[18], a14630data[18])), i636[18], o8925[18], i1314[18])), ≥)∧[(-1)bso_120] ≥ 0)



    We simplified constraint (200) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (201)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD51825(<=(i1314[18], 1), java.lang.Object(ARRAY(i6[18], a14630data[18])), i636[18], o8925[18], i1314[18])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_120] ≥ 0)







For Pair COND_LOAD51825(TRUE, java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1314) → STORE5482(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, 0) the following chains were created:
  • We consider the chain LOAD5182(java.lang.Object(ARRAY(i6[18], a14630data[18])), i636[18], o8925[18], i1314[18], NULL) → COND_LOAD51825(<=(i1314[18], 1), java.lang.Object(ARRAY(i6[18], a14630data[18])), i636[18], o8925[18], i1314[18]), COND_LOAD51825(TRUE, java.lang.Object(ARRAY(i6[19], a14630data[19])), i636[19], o8925[19], i1314[19]) → STORE5482(java.lang.Object(ARRAY(i6[19], a14630data[19])), i636[19], o8925[19], 0), STORE5482(java.lang.Object(ARRAY(i6[10], a14630data[10])), i636[10], o8925[10], i1370[10]) → LOAD3666(java.lang.Object(ARRAY(i6[10], a14630data[10])), i636[10], o8925[10], i1370[10]) which results in the following constraint:

    (202)    (<=(i1314[18], 1)=TRUEi636[18]=i636[19]i6[18]=i6[19]a14630data[18]=a14630data[19]i1314[18]=i1314[19]o8925[18]=o8925[19]i636[19]=i636[10]i6[19]=i6[10]a14630data[19]=a14630data[10]o8925[19]=o8925[10]0=i1370[10]COND_LOAD51825(TRUE, java.lang.Object(ARRAY(i6[19], a14630data[19])), i636[19], o8925[19], i1314[19])≥STORE5482(java.lang.Object(ARRAY(i6[19], a14630data[19])), i636[19], o8925[19], 0)∧(UIncreasing(STORE5482(java.lang.Object(ARRAY(i6[19], a14630data[19])), i636[19], o8925[19], 0)), ≥))



    We simplified constraint (202) using rules (III), (IV) which results in the following new constraint:

    (203)    (<=(i1314[18], 1)=TRUECOND_LOAD51825(TRUE, java.lang.Object(ARRAY(i6[18], a14630data[18])), i636[18], o8925[18], i1314[18])≥STORE5482(java.lang.Object(ARRAY(i6[18], a14630data[18])), i636[18], o8925[18], 0)∧(UIncreasing(STORE5482(java.lang.Object(ARRAY(i6[19], a14630data[19])), i636[19], o8925[19], 0)), ≥))



    We simplified constraint (203) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (204)    (0 ≥ 0 ⇒ (UIncreasing(STORE5482(java.lang.Object(ARRAY(i6[19], a14630data[19])), i636[19], o8925[19], 0)), ≥)∧[2 + (-1)bso_121] + o8925[18] + [2]i636[18] ≥ 0)



    We simplified constraint (204) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (205)    (0 ≥ 0 ⇒ (UIncreasing(STORE5482(java.lang.Object(ARRAY(i6[19], a14630data[19])), i636[19], o8925[19], 0)), ≥)∧[2 + (-1)bso_121] + o8925[18] + [2]i636[18] ≥ 0)



    We simplified constraint (205) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (206)    (0 ≥ 0 ⇒ (UIncreasing(STORE5482(java.lang.Object(ARRAY(i6[19], a14630data[19])), i636[19], o8925[19], 0)), ≥)∧[2 + (-1)bso_121] + o8925[18] + [2]i636[18] ≥ 0)



    We simplified constraint (206) using rules (IDP_UNRESTRICTED_VARS), (IDP_POLY_GCD) which results in the following new constraint:

    (207)    (0 ≥ 0 ⇒ (UIncreasing(STORE5482(java.lang.Object(ARRAY(i6[19], a14630data[19])), i636[19], o8925[19], 0)), ≥)∧0 ≥ 0∧[1] ≥ 0∧0 ≥ 0∧0 ≥ 0∧[2 + (-1)bso_121] ≥ 0∧[1] ≥ 0)







For Pair LOAD5214(java.lang.Object(ARRAY(i6, a14630data)), i636, java.lang.Object(IntList(o9257, i1372)), java.lang.Object(IntList(o9257, i1372))) → RETURN5413(java.lang.Object(ARRAY(i6, a14630data)), i636, java.lang.Object(IntList(o9257, i1372)), i1372) the following chains were created:
  • We consider the chain COND_LOAD51821(TRUE, java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], i1315[7], o8924[7]) → LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7]), LOAD5214(java.lang.Object(ARRAY(i6[20], a14630data[20])), i636[20], java.lang.Object(IntList(o9257[20], i1372[20])), java.lang.Object(IntList(o9257[20], i1372[20]))) → RETURN5413(java.lang.Object(ARRAY(i6[20], a14630data[20])), i636[20], java.lang.Object(IntList(o9257[20], i1372[20])), i1372[20]), RETURN5413(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], o8925[11], i1370[11]) → LOAD3666(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], o8925[11], i1370[11]) which results in the following constraint:

    (208)    (o8924[7]=java.lang.Object(IntList(o9257[20], i1372[20]))∧o8925[7]=java.lang.Object(IntList(o9257[20], i1372[20]))∧i636[7]=i636[20]i6[7]=i6[20]a14630data[7]=a14630data[20]i6[20]=i6[11]a14630data[20]=a14630data[11]i1372[20]=i1370[11]java.lang.Object(IntList(o9257[20], i1372[20]))=o8925[11]i636[20]=i636[11]LOAD5214(java.lang.Object(ARRAY(i6[20], a14630data[20])), i636[20], java.lang.Object(IntList(o9257[20], i1372[20])), java.lang.Object(IntList(o9257[20], i1372[20])))≥RETURN5413(java.lang.Object(ARRAY(i6[20], a14630data[20])), i636[20], java.lang.Object(IntList(o9257[20], i1372[20])), i1372[20])∧(UIncreasing(RETURN5413(java.lang.Object(ARRAY(i6[20], a14630data[20])), i636[20], java.lang.Object(IntList(o9257[20], i1372[20])), i1372[20])), ≥))



    We simplified constraint (208) using rules (III), (IV) which results in the following new constraint:

    (209)    (LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], java.lang.Object(IntList(o9257[20], i1372[20])), java.lang.Object(IntList(o9257[20], i1372[20])))≥RETURN5413(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], java.lang.Object(IntList(o9257[20], i1372[20])), i1372[20])∧(UIncreasing(RETURN5413(java.lang.Object(ARRAY(i6[20], a14630data[20])), i636[20], java.lang.Object(IntList(o9257[20], i1372[20])), i1372[20])), ≥))



    We simplified constraint (209) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (210)    ((UIncreasing(RETURN5413(java.lang.Object(ARRAY(i6[20], a14630data[20])), i636[20], java.lang.Object(IntList(o9257[20], i1372[20])), i1372[20])), ≥)∧[(-1)bso_122] + i636[7] ≥ 0)



    We simplified constraint (210) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (211)    ((UIncreasing(RETURN5413(java.lang.Object(ARRAY(i6[20], a14630data[20])), i636[20], java.lang.Object(IntList(o9257[20], i1372[20])), i1372[20])), ≥)∧[(-1)bso_122] + i636[7] ≥ 0)



    We simplified constraint (211) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (212)    ((UIncreasing(RETURN5413(java.lang.Object(ARRAY(i6[20], a14630data[20])), i636[20], java.lang.Object(IntList(o9257[20], i1372[20])), i1372[20])), ≥)∧[(-1)bso_122] + i636[7] ≥ 0)



    We simplified constraint (212) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (213)    ((UIncreasing(RETURN5413(java.lang.Object(ARRAY(i6[20], a14630data[20])), i636[20], java.lang.Object(IntList(o9257[20], i1372[20])), i1372[20])), ≥)∧0 ≥ 0∧0 ≥ 0∧[1] ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_122] ≥ 0)



  • We consider the chain COND_LOAD51822(TRUE, java.lang.Object(ARRAY(i6[9], a14630data[9])), i636[9], o8925[9], i1315[9]) → LOAD5214(java.lang.Object(ARRAY(i6[9], a14630data[9])), i636[9], o8925[9], NULL), LOAD5214(java.lang.Object(ARRAY(i6[20], a14630data[20])), i636[20], java.lang.Object(IntList(o9257[20], i1372[20])), java.lang.Object(IntList(o9257[20], i1372[20]))) → RETURN5413(java.lang.Object(ARRAY(i6[20], a14630data[20])), i636[20], java.lang.Object(IntList(o9257[20], i1372[20])), i1372[20]), RETURN5413(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], o8925[11], i1370[11]) → LOAD3666(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], o8925[11], i1370[11]) which results in the following constraint:

    (214)    (LOAD5214(java.lang.Object(ARRAY(i6[20], a14630data[20])), i636[20], java.lang.Object(IntList(o9257[20], i1372[20])), java.lang.Object(IntList(o9257[20], i1372[20])))≥RETURN5413(java.lang.Object(ARRAY(i6[20], a14630data[20])), i636[20], java.lang.Object(IntList(o9257[20], i1372[20])), i1372[20])∧(UIncreasing(RETURN5413(java.lang.Object(ARRAY(i6[20], a14630data[20])), i636[20], java.lang.Object(IntList(o9257[20], i1372[20])), i1372[20])), ≥))



    We simplified constraint (214) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (215)    ((UIncreasing(RETURN5413(java.lang.Object(ARRAY(i6[20], a14630data[20])), i636[20], java.lang.Object(IntList(o9257[20], i1372[20])), i1372[20])), ≥)∧[(-1)bso_122] + i636[20] ≥ 0)



    We simplified constraint (215) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (216)    ((UIncreasing(RETURN5413(java.lang.Object(ARRAY(i6[20], a14630data[20])), i636[20], java.lang.Object(IntList(o9257[20], i1372[20])), i1372[20])), ≥)∧[(-1)bso_122] + i636[20] ≥ 0)



    We simplified constraint (216) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (217)    ((UIncreasing(RETURN5413(java.lang.Object(ARRAY(i6[20], a14630data[20])), i636[20], java.lang.Object(IntList(o9257[20], i1372[20])), i1372[20])), ≥)∧[(-1)bso_122] + i636[20] ≥ 0)



    We simplified constraint (217) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (218)    ((UIncreasing(RETURN5413(java.lang.Object(ARRAY(i6[20], a14630data[20])), i636[20], java.lang.Object(IntList(o9257[20], i1372[20])), i1372[20])), ≥)∧0 ≥ 0∧0 ≥ 0∧[1] ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_122] ≥ 0)







For Pair LOAD5182(java.lang.Object(ARRAY(i6, a14630data)), i636, java.lang.Object(IntList(o9257, i1372)), i1314, java.lang.Object(IntList(o9257, i1372))) → COND_LOAD51826(<=(i1314, 1), java.lang.Object(ARRAY(i6, a14630data)), i636, i1314, java.lang.Object(IntList(o9257, i1372))) the following chains were created:
  • We consider the chain LOAD5182(java.lang.Object(ARRAY(i6[21], a14630data[21])), i636[21], java.lang.Object(IntList(o9257[21], i1372[21])), i1314[21], java.lang.Object(IntList(o9257[21], i1372[21]))) → COND_LOAD51826(<=(i1314[21], 1), java.lang.Object(ARRAY(i6[21], a14630data[21])), i636[21], i1314[21], java.lang.Object(IntList(o9257[21], i1372[21]))), COND_LOAD51826(TRUE, java.lang.Object(ARRAY(i6[22], a14630data[22])), i636[22], i1314[22], java.lang.Object(IntList(o9257[22], i1372[22]))) → RETURN5413(java.lang.Object(ARRAY(i6[22], a14630data[22])), i636[22], java.lang.Object(IntList(o9257[22], i1372[22])), i1372[22]) which results in the following constraint:

    (219)    (o9257[21]=o9257[22]i1372[21]=i1372[22]i1314[21]=i1314[22]i6[21]=i6[22]a14630data[21]=a14630data[22]i636[21]=i636[22]<=(i1314[21], 1)=TRUELOAD5182(java.lang.Object(ARRAY(i6[21], a14630data[21])), i636[21], java.lang.Object(IntList(o9257[21], i1372[21])), i1314[21], java.lang.Object(IntList(o9257[21], i1372[21])))≥COND_LOAD51826(<=(i1314[21], 1), java.lang.Object(ARRAY(i6[21], a14630data[21])), i636[21], i1314[21], java.lang.Object(IntList(o9257[21], i1372[21])))∧(UIncreasing(COND_LOAD51826(<=(i1314[21], 1), java.lang.Object(ARRAY(i6[21], a14630data[21])), i636[21], i1314[21], java.lang.Object(IntList(o9257[21], i1372[21])))), ≥))



    We simplified constraint (219) using rule (IV) which results in the following new constraint:

    (220)    (<=(i1314[21], 1)=TRUELOAD5182(java.lang.Object(ARRAY(i6[21], a14630data[21])), i636[21], java.lang.Object(IntList(o9257[21], i1372[21])), i1314[21], java.lang.Object(IntList(o9257[21], i1372[21])))≥COND_LOAD51826(<=(i1314[21], 1), java.lang.Object(ARRAY(i6[21], a14630data[21])), i636[21], i1314[21], java.lang.Object(IntList(o9257[21], i1372[21])))∧(UIncreasing(COND_LOAD51826(<=(i1314[21], 1), java.lang.Object(ARRAY(i6[21], a14630data[21])), i636[21], i1314[21], java.lang.Object(IntList(o9257[21], i1372[21])))), ≥))



    We simplified constraint (220) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (221)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD51826(<=(i1314[21], 1), java.lang.Object(ARRAY(i6[21], a14630data[21])), i636[21], i1314[21], java.lang.Object(IntList(o9257[21], i1372[21])))), ≥)∧[(-1)bso_123] + [4]o9257[21] + i636[21] ≥ 0)



    We simplified constraint (221) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (222)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD51826(<=(i1314[21], 1), java.lang.Object(ARRAY(i6[21], a14630data[21])), i636[21], i1314[21], java.lang.Object(IntList(o9257[21], i1372[21])))), ≥)∧[(-1)bso_123] + [4]o9257[21] + i636[21] ≥ 0)



    We simplified constraint (222) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (223)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD51826(<=(i1314[21], 1), java.lang.Object(ARRAY(i6[21], a14630data[21])), i636[21], i1314[21], java.lang.Object(IntList(o9257[21], i1372[21])))), ≥)∧[(-1)bso_123] + [4]o9257[21] + i636[21] ≥ 0)



    We simplified constraint (223) using rules (IDP_UNRESTRICTED_VARS), (IDP_POLY_GCD) which results in the following new constraint:

    (224)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD51826(<=(i1314[21], 1), java.lang.Object(ARRAY(i6[21], a14630data[21])), i636[21], i1314[21], java.lang.Object(IntList(o9257[21], i1372[21])))), ≥)∧0 ≥ 0∧0 ≥ 0∧[1] ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_123] ≥ 0∧[1] ≥ 0)







For Pair COND_LOAD51826(TRUE, java.lang.Object(ARRAY(i6, a14630data)), i636, i1314, java.lang.Object(IntList(o9257, i1372))) → RETURN5413(java.lang.Object(ARRAY(i6, a14630data)), i636, java.lang.Object(IntList(o9257, i1372)), i1372) the following chains were created:
  • We consider the chain LOAD5182(java.lang.Object(ARRAY(i6[21], a14630data[21])), i636[21], java.lang.Object(IntList(o9257[21], i1372[21])), i1314[21], java.lang.Object(IntList(o9257[21], i1372[21]))) → COND_LOAD51826(<=(i1314[21], 1), java.lang.Object(ARRAY(i6[21], a14630data[21])), i636[21], i1314[21], java.lang.Object(IntList(o9257[21], i1372[21]))), COND_LOAD51826(TRUE, java.lang.Object(ARRAY(i6[22], a14630data[22])), i636[22], i1314[22], java.lang.Object(IntList(o9257[22], i1372[22]))) → RETURN5413(java.lang.Object(ARRAY(i6[22], a14630data[22])), i636[22], java.lang.Object(IntList(o9257[22], i1372[22])), i1372[22]), RETURN5413(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], o8925[11], i1370[11]) → LOAD3666(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], o8925[11], i1370[11]) which results in the following constraint:

    (225)    (o9257[21]=o9257[22]i1372[21]=i1372[22]i1314[21]=i1314[22]i6[21]=i6[22]a14630data[21]=a14630data[22]i636[21]=i636[22]<=(i1314[21], 1)=TRUEi1372[22]=i1370[11]i636[22]=i636[11]java.lang.Object(IntList(o9257[22], i1372[22]))=o8925[11]i6[22]=i6[11]a14630data[22]=a14630data[11]COND_LOAD51826(TRUE, java.lang.Object(ARRAY(i6[22], a14630data[22])), i636[22], i1314[22], java.lang.Object(IntList(o9257[22], i1372[22])))≥RETURN5413(java.lang.Object(ARRAY(i6[22], a14630data[22])), i636[22], java.lang.Object(IntList(o9257[22], i1372[22])), i1372[22])∧(UIncreasing(RETURN5413(java.lang.Object(ARRAY(i6[22], a14630data[22])), i636[22], java.lang.Object(IntList(o9257[22], i1372[22])), i1372[22])), ≥))



    We simplified constraint (225) using rules (III), (IV) which results in the following new constraint:

    (226)    (<=(i1314[21], 1)=TRUECOND_LOAD51826(TRUE, java.lang.Object(ARRAY(i6[21], a14630data[21])), i636[21], i1314[21], java.lang.Object(IntList(o9257[21], i1372[21])))≥RETURN5413(java.lang.Object(ARRAY(i6[21], a14630data[21])), i636[21], java.lang.Object(IntList(o9257[21], i1372[21])), i1372[21])∧(UIncreasing(RETURN5413(java.lang.Object(ARRAY(i6[22], a14630data[22])), i636[22], java.lang.Object(IntList(o9257[22], i1372[22])), i1372[22])), ≥))



    We simplified constraint (226) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (227)    (0 ≥ 0 ⇒ (UIncreasing(RETURN5413(java.lang.Object(ARRAY(i6[22], a14630data[22])), i636[22], java.lang.Object(IntList(o9257[22], i1372[22])), i1372[22])), ≥)∧[(-1)bso_124] + [4]o9257[21] + i636[21] ≥ 0)



    We simplified constraint (227) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (228)    (0 ≥ 0 ⇒ (UIncreasing(RETURN5413(java.lang.Object(ARRAY(i6[22], a14630data[22])), i636[22], java.lang.Object(IntList(o9257[22], i1372[22])), i1372[22])), ≥)∧[(-1)bso_124] + [4]o9257[21] + i636[21] ≥ 0)



    We simplified constraint (228) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (229)    (0 ≥ 0 ⇒ (UIncreasing(RETURN5413(java.lang.Object(ARRAY(i6[22], a14630data[22])), i636[22], java.lang.Object(IntList(o9257[22], i1372[22])), i1372[22])), ≥)∧[(-1)bso_124] + [4]o9257[21] + i636[21] ≥ 0)



    We simplified constraint (229) using rules (IDP_UNRESTRICTED_VARS), (IDP_POLY_GCD) which results in the following new constraint:

    (230)    (0 ≥ 0 ⇒ (UIncreasing(RETURN5413(java.lang.Object(ARRAY(i6[22], a14630data[22])), i636[22], java.lang.Object(IntList(o9257[22], i1372[22])), i1372[22])), ≥)∧0 ≥ 0∧0 ≥ 0∧[1] ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_124] ≥ 0∧[1] ≥ 0)







To summarize, we get the following constraints P for the following pairs.
  • LOAD3666(java.lang.Object(ARRAY(i6, a8555data)), i123, java.lang.Object(IntList(o5524, i503)), i500) → LOAD3666ARR1(java.lang.Object(ARRAY(i6, a8555data)), i123, java.lang.Object(IntList(o5524, i503)), i500, java.lang.Object(java.lang.String(i801)))
    • ((UIncreasing(LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_102] ≥ 0)
    • ((UIncreasing(LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_102] ≥ 0)
    • ((UIncreasing(LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_102] ≥ 0)
    • ((UIncreasing(LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_102] ≥ 0)

  • LOAD3666ARR1(java.lang.Object(ARRAY(i6, a8555data)), i123, java.lang.Object(IntList(o5524, i503)), i500, java.lang.Object(java.lang.String(i801))) → COND_LOAD3666ARR1(&&(&&(&&(>(i123, 0), <(i123, i6)), >(i500, 0)), >(+(i123, 1), 0)), java.lang.Object(ARRAY(i6, a8555data)), i123, java.lang.Object(IntList(o5524, i503)), i500, java.lang.Object(java.lang.String(i801)))
    • (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD3666ARR1(&&(&&(&&(>(i123[1], 0), <(i123[1], i6[1])), >(i500[1], 0)), >(+(i123[1], 1), 0)), java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1])))), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_103] ≥ 0)

  • COND_LOAD3666ARR1(TRUE, java.lang.Object(ARRAY(i6, a8555data)), i123, java.lang.Object(IntList(o5524, i503)), i500, java.lang.Object(java.lang.String(i801))) → LOAD5182(java.lang.Object(ARRAY(i6, a8555data)), +(i123, 1), o5524, i801, o5524)
    • (0 ≥ 0 ⇒ (UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[2], a8555data[2])), +(i123[2], 1), o5524[2], i801[2], o5524[2])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[1] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_104] ≥ 0)

  • JMP5555'(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1365, o9395) → LOAD5182(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1365, o9395)
    • ((UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_105] ≥ 0∧[1] ≥ 0)
    • ((UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_105] ≥ 0∧[1] ≥ 0)
    • ((UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_105] ≥ 0∧[1] ≥ 0)
    • ((UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_105] ≥ 0∧[1] ≥ 0)
    • ((UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_105] ≥ 0∧[1] ≥ 0)
    • ((UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_105] ≥ 0∧[1] ≥ 0)
    • ((UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_105] ≥ 0∧[1] ≥ 0)

  • LOAD5182(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1315, java.lang.Object(IntList(o9395, i1395))) → COND_LOAD5182(>(i1315, 1), java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1315, java.lang.Object(IntList(o9395, i1395)))
    • (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD5182(>(i1315[4], 1), java.lang.Object(ARRAY(i6[4], a14630data[4])), i636[4], o8925[4], i1315[4], java.lang.Object(IntList(o9395[4], i1395[4])))), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_106] ≥ 0)

  • COND_LOAD5182(TRUE, java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1315, java.lang.Object(IntList(o9395, i1395))) → LOAD5182(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, +(i1315, -1), o9395)
    • (0 ≥ 0 ⇒ (UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[5], a14630data[5])), i636[5], o8925[5], +(i1315[5], -1), o9395[5])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_107] ≥ 0∧[1] ≥ 0)

  • LOAD5182(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1315, o8924) → COND_LOAD51821(&&(>(i1315, 0), <=(i1315, 1)), java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1315, o8924)
    • (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD51821(&&(>(i1315[6], 0), <=(i1315[6], 1)), java.lang.Object(ARRAY(i6[6], a14630data[6])), i636[6], o8925[6], i1315[6], o8924[6])), ≥)∧[1] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_108] ≥ 0)

  • COND_LOAD51821(TRUE, java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1315, o8924) → LOAD5214(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, o8924)
    • ((UIncreasing(LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[1] ≥ 0∧[1] ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_109] ≥ 0)
    • ((UIncreasing(LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7])), ≥)∧0 ≥ 0∧[1] ≥ 0∧[1] ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_109] ≥ 0)
    • ((UIncreasing(LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7])), ≥)∧0 ≥ 0∧0 ≥ 0∧[1] ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_109] ≥ 0∧[1] ≥ 0)

  • LOAD5182(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1315, NULL) → COND_LOAD51822(>(i1315, 1), java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1315)
    • (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD51822(>(i1315[8], 1), java.lang.Object(ARRAY(i6[8], a14630data[8])), i636[8], o8925[8], i1315[8])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[1 + (-1)bso_110] ≥ 0)

  • COND_LOAD51822(TRUE, java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1315) → LOAD5214(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, NULL)
    • ((UIncreasing(LOAD5214(java.lang.Object(ARRAY(i6[9], a14630data[9])), i636[9], o8925[9], NULL)), ≥)∧0 ≥ 0∧[1] ≥ 0∧[1] ≥ 0∧0 ≥ 0∧0 ≥ 0∧[1 + (-1)bso_111] ≥ 0)
    • (0 ≥ 0 ⇒ (UIncreasing(LOAD5214(java.lang.Object(ARRAY(i6[9], a14630data[9])), i636[9], o8925[9], NULL)), ≥)∧0 ≥ 0∧[1] ≥ 0∧[1] ≥ 0∧0 ≥ 0∧0 ≥ 0∧[1 + (-1)bso_111] ≥ 0)
    • ((UIncreasing(LOAD5214(java.lang.Object(ARRAY(i6[9], a14630data[9])), i636[9], o8925[9], NULL)), ≥)∧0 ≥ 0∧[1] ≥ 0∧[1] ≥ 0∧0 ≥ 0∧0 ≥ 0∧[1 + (-1)bso_111] ≥ 0)

  • STORE5482(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1370) → LOAD3666(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1370)
    • ((UIncreasing(LOAD3666(java.lang.Object(ARRAY(i6[10], a14630data[10])), i636[10], o8925[10], i1370[10])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_112] ≥ 0)

  • RETURN5413(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1370) → LOAD3666(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1370)
    • ((UIncreasing(LOAD3666(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], o8925[11], i1370[11])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_113] ≥ 0)

  • LOAD5214(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, java.lang.Object(IntList(o9251, i1370))) → LOAD3666(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1370)
    • ((UIncreasing(LOAD3666(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], o8925[12], i1370[12])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[1] ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_114] ≥ 0)
    • ((UIncreasing(LOAD3666(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], o8925[12], i1370[12])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[1] ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_114] ≥ 0)

  • LOAD5182(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1314, java.lang.Object(IntList(o9251, i1370))) → COND_LOAD51823(<=(i1314, 1), java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1314, java.lang.Object(IntList(o9251, i1370)))
    • (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD51823(<=(i1314[13], 1), java.lang.Object(ARRAY(i6[13], a14630data[13])), i636[13], o8925[13], i1314[13], java.lang.Object(IntList(o9251[13], i1370[13])))), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_115] ≥ 0∧[1] ≥ 0)

  • COND_LOAD51823(TRUE, java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1314, java.lang.Object(IntList(o9251, i1370))) → LOAD3666(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1370)
    • (0 ≥ 0 ⇒ (UIncreasing(LOAD3666(java.lang.Object(ARRAY(i6[14], a14630data[14])), i636[14], o8925[14], i1370[14])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_116] ≥ 0∧[1] ≥ 0∧[1] ≥ 0)

  • LOAD5182(java.lang.Object(ARRAY(i6, a14630data)), i636, java.lang.Object(IntList(o9408, i1398)), i1315, java.lang.Object(IntList(o9408, i1398))) → COND_LOAD51824(>(i1315, 1), java.lang.Object(ARRAY(i6, a14630data)), i636, i1315, java.lang.Object(IntList(o9408, i1398)))
    • (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD51824(>(i1315[15], 1), java.lang.Object(ARRAY(i6[15], a14630data[15])), i636[15], i1315[15], java.lang.Object(IntList(o9408[15], i1398[15])))), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_117] ≥ 0)

  • COND_LOAD51824(TRUE, java.lang.Object(ARRAY(i6, a14630data)), i636, i1315, java.lang.Object(IntList(o9408, i1398))) → JMP5555'(java.lang.Object(ARRAY(i6, a14630data)), i636, java.lang.Object(IntList(o9408, i1398)), +(i1315, -1), o9408)
    • (0 ≥ 0 ⇒ (UIncreasing(JMP5555'(java.lang.Object(ARRAY(i6[16], a14630data[16])), i636[16], java.lang.Object(IntList(o9408[16], i1398[16])), +(i1315[16], -1), o9408[16])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_118] ≥ 0∧[1] ≥ 0)

  • LOAD5214(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, NULL) → STORE5482(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, 0)
    • ((UIncreasing(STORE5482(java.lang.Object(ARRAY(i6[17], a14630data[17])), i636[17], o8925[17], 0)), ≥)∧0 ≥ 0∧[1] ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_119] ≥ 0)
    • ((UIncreasing(STORE5482(java.lang.Object(ARRAY(i6[17], a14630data[17])), i636[17], o8925[17], 0)), ≥)∧0 ≥ 0∧[1] ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_119] ≥ 0)

  • LOAD5182(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1314, NULL) → COND_LOAD51825(<=(i1314, 1), java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1314)
    • (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD51825(<=(i1314[18], 1), java.lang.Object(ARRAY(i6[18], a14630data[18])), i636[18], o8925[18], i1314[18])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_120] ≥ 0)

  • COND_LOAD51825(TRUE, java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, i1314) → STORE5482(java.lang.Object(ARRAY(i6, a14630data)), i636, o8925, 0)
    • (0 ≥ 0 ⇒ (UIncreasing(STORE5482(java.lang.Object(ARRAY(i6[19], a14630data[19])), i636[19], o8925[19], 0)), ≥)∧0 ≥ 0∧[1] ≥ 0∧0 ≥ 0∧0 ≥ 0∧[2 + (-1)bso_121] ≥ 0∧[1] ≥ 0)

  • LOAD5214(java.lang.Object(ARRAY(i6, a14630data)), i636, java.lang.Object(IntList(o9257, i1372)), java.lang.Object(IntList(o9257, i1372))) → RETURN5413(java.lang.Object(ARRAY(i6, a14630data)), i636, java.lang.Object(IntList(o9257, i1372)), i1372)
    • ((UIncreasing(RETURN5413(java.lang.Object(ARRAY(i6[20], a14630data[20])), i636[20], java.lang.Object(IntList(o9257[20], i1372[20])), i1372[20])), ≥)∧0 ≥ 0∧0 ≥ 0∧[1] ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_122] ≥ 0)
    • ((UIncreasing(RETURN5413(java.lang.Object(ARRAY(i6[20], a14630data[20])), i636[20], java.lang.Object(IntList(o9257[20], i1372[20])), i1372[20])), ≥)∧0 ≥ 0∧0 ≥ 0∧[1] ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_122] ≥ 0)

  • LOAD5182(java.lang.Object(ARRAY(i6, a14630data)), i636, java.lang.Object(IntList(o9257, i1372)), i1314, java.lang.Object(IntList(o9257, i1372))) → COND_LOAD51826(<=(i1314, 1), java.lang.Object(ARRAY(i6, a14630data)), i636, i1314, java.lang.Object(IntList(o9257, i1372)))
    • (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD51826(<=(i1314[21], 1), java.lang.Object(ARRAY(i6[21], a14630data[21])), i636[21], i1314[21], java.lang.Object(IntList(o9257[21], i1372[21])))), ≥)∧0 ≥ 0∧0 ≥ 0∧[1] ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_123] ≥ 0∧[1] ≥ 0)

  • COND_LOAD51826(TRUE, java.lang.Object(ARRAY(i6, a14630data)), i636, i1314, java.lang.Object(IntList(o9257, i1372))) → RETURN5413(java.lang.Object(ARRAY(i6, a14630data)), i636, java.lang.Object(IntList(o9257, i1372)), i1372)
    • (0 ≥ 0 ⇒ (UIncreasing(RETURN5413(java.lang.Object(ARRAY(i6[22], a14630data[22])), i636[22], java.lang.Object(IntList(o9257[22], i1372[22])), i1372[22])), ≥)∧0 ≥ 0∧0 ≥ 0∧[1] ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_124] ≥ 0∧[1] ≥ 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 with natural coefficients for all symbols [NONINF][POLO]:

POL(TRUE) = 0   
POL(FALSE) = 0   
POL(LOAD3666(x1, x2, x3, x4)) = x3   
POL(java.lang.Object(x1)) = [2]x1   
POL(ARRAY(x1, x2)) = 0   
POL(IntList(x1, x2)) = [2]x1   
POL(LOAD3666ARR1(x1, x2, x3, x4, x5)) = x3   
POL(java.lang.String(x1)) = 0   
POL(COND_LOAD3666ARR1(x1, x2, x3, x4, x5, x6)) = x4 + [3]x1   
POL(&&(x1, x2)) = 0   
POL(>(x1, x2)) = 0   
POL(0) = 0   
POL(<(x1, x2)) = 0   
POL(+(x1, x2)) = 0   
POL(1) = 0   
POL(LOAD5182(x1, x2, x3, x4, x5)) = x5 + [2]x3 + [2]x2   
POL(JMP5555'(x1, x2, x3, x4, x5)) = x5 + [2]x4 + [2]x3 + [2]x2   
POL(COND_LOAD5182(x1, x2, x3, x4, x5, x6)) = x6 + [2]x4 + [2]x3   
POL(-1) = 0   
POL(COND_LOAD51821(x1, x2, x3, x4, x5, x6)) = [2]x4 + [2]x3   
POL(<=(x1, x2)) = 0   
POL(LOAD5214(x1, x2, x3, x4)) = x3 + x2   
POL(NULL) = [2]   
POL(COND_LOAD51822(x1, x2, x3, x4, x5)) = [1] + [2]x4 + [2]x3   
POL(STORE5482(x1, x2, x3, x4)) = x3   
POL(RETURN5413(x1, x2, x3, x4)) = x3   
POL(COND_LOAD51823(x1, x2, x3, x4, x5, x6)) = [2]x4 + [2]x3   
POL(COND_LOAD51824(x1, x2, x3, x4, x5)) = [3]x5 + [2]x3   
POL(COND_LOAD51825(x1, x2, x3, x4, x5)) = [2] + [2]x4 + [2]x3   
POL(COND_LOAD51826(x1, x2, x3, x4, x5)) = [2]x5 + x3   

The following pairs are in P>:

LOAD5182(java.lang.Object(ARRAY(i6[8], a14630data[8])), i636[8], o8925[8], i1315[8], NULL) → COND_LOAD51822(>(i1315[8], 1), java.lang.Object(ARRAY(i6[8], a14630data[8])), i636[8], o8925[8], i1315[8])
COND_LOAD51822(TRUE, java.lang.Object(ARRAY(i6[9], a14630data[9])), i636[9], o8925[9], i1315[9]) → LOAD5214(java.lang.Object(ARRAY(i6[9], a14630data[9])), i636[9], o8925[9], NULL)
COND_LOAD51825(TRUE, java.lang.Object(ARRAY(i6[19], a14630data[19])), i636[19], o8925[19], i1314[19]) → STORE5482(java.lang.Object(ARRAY(i6[19], a14630data[19])), i636[19], o8925[19], 0)

The following pairs are in Pbound:

LOAD3666(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0]) → LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))
LOAD3666ARR1(java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1]))) → COND_LOAD3666ARR1(&&(&&(&&(>(i123[1], 0), <(i123[1], i6[1])), >(i500[1], 0)), >(+(i123[1], 1), 0)), java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1])))
COND_LOAD3666ARR1(TRUE, java.lang.Object(ARRAY(i6[2], a8555data[2])), i123[2], java.lang.Object(IntList(o5524[2], i503[2])), i500[2], java.lang.Object(java.lang.String(i801[2]))) → LOAD5182(java.lang.Object(ARRAY(i6[2], a8555data[2])), +(i123[2], 1), o5524[2], i801[2], o5524[2])
JMP5555'(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3]) → LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])
LOAD5182(java.lang.Object(ARRAY(i6[4], a14630data[4])), i636[4], o8925[4], i1315[4], java.lang.Object(IntList(o9395[4], i1395[4]))) → COND_LOAD5182(>(i1315[4], 1), java.lang.Object(ARRAY(i6[4], a14630data[4])), i636[4], o8925[4], i1315[4], java.lang.Object(IntList(o9395[4], i1395[4])))
COND_LOAD5182(TRUE, java.lang.Object(ARRAY(i6[5], a14630data[5])), i636[5], o8925[5], i1315[5], java.lang.Object(IntList(o9395[5], i1395[5]))) → LOAD5182(java.lang.Object(ARRAY(i6[5], a14630data[5])), i636[5], o8925[5], +(i1315[5], -1), o9395[5])
LOAD5182(java.lang.Object(ARRAY(i6[6], a14630data[6])), i636[6], o8925[6], i1315[6], o8924[6]) → COND_LOAD51821(&&(>(i1315[6], 0), <=(i1315[6], 1)), java.lang.Object(ARRAY(i6[6], a14630data[6])), i636[6], o8925[6], i1315[6], o8924[6])
COND_LOAD51821(TRUE, java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], i1315[7], o8924[7]) → LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7])
LOAD5182(java.lang.Object(ARRAY(i6[8], a14630data[8])), i636[8], o8925[8], i1315[8], NULL) → COND_LOAD51822(>(i1315[8], 1), java.lang.Object(ARRAY(i6[8], a14630data[8])), i636[8], o8925[8], i1315[8])
COND_LOAD51822(TRUE, java.lang.Object(ARRAY(i6[9], a14630data[9])), i636[9], o8925[9], i1315[9]) → LOAD5214(java.lang.Object(ARRAY(i6[9], a14630data[9])), i636[9], o8925[9], NULL)
STORE5482(java.lang.Object(ARRAY(i6[10], a14630data[10])), i636[10], o8925[10], i1370[10]) → LOAD3666(java.lang.Object(ARRAY(i6[10], a14630data[10])), i636[10], o8925[10], i1370[10])
RETURN5413(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], o8925[11], i1370[11]) → LOAD3666(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], o8925[11], i1370[11])
LOAD5214(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], o8925[12], java.lang.Object(IntList(o9251[12], i1370[12]))) → LOAD3666(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], o8925[12], i1370[12])
LOAD5182(java.lang.Object(ARRAY(i6[13], a14630data[13])), i636[13], o8925[13], i1314[13], java.lang.Object(IntList(o9251[13], i1370[13]))) → COND_LOAD51823(<=(i1314[13], 1), java.lang.Object(ARRAY(i6[13], a14630data[13])), i636[13], o8925[13], i1314[13], java.lang.Object(IntList(o9251[13], i1370[13])))
COND_LOAD51823(TRUE, java.lang.Object(ARRAY(i6[14], a14630data[14])), i636[14], o8925[14], i1314[14], java.lang.Object(IntList(o9251[14], i1370[14]))) → LOAD3666(java.lang.Object(ARRAY(i6[14], a14630data[14])), i636[14], o8925[14], i1370[14])
LOAD5182(java.lang.Object(ARRAY(i6[15], a14630data[15])), i636[15], java.lang.Object(IntList(o9408[15], i1398[15])), i1315[15], java.lang.Object(IntList(o9408[15], i1398[15]))) → COND_LOAD51824(>(i1315[15], 1), java.lang.Object(ARRAY(i6[15], a14630data[15])), i636[15], i1315[15], java.lang.Object(IntList(o9408[15], i1398[15])))
COND_LOAD51824(TRUE, java.lang.Object(ARRAY(i6[16], a14630data[16])), i636[16], i1315[16], java.lang.Object(IntList(o9408[16], i1398[16]))) → JMP5555'(java.lang.Object(ARRAY(i6[16], a14630data[16])), i636[16], java.lang.Object(IntList(o9408[16], i1398[16])), +(i1315[16], -1), o9408[16])
LOAD5214(java.lang.Object(ARRAY(i6[17], a14630data[17])), i636[17], o8925[17], NULL) → STORE5482(java.lang.Object(ARRAY(i6[17], a14630data[17])), i636[17], o8925[17], 0)
LOAD5182(java.lang.Object(ARRAY(i6[18], a14630data[18])), i636[18], o8925[18], i1314[18], NULL) → COND_LOAD51825(<=(i1314[18], 1), java.lang.Object(ARRAY(i6[18], a14630data[18])), i636[18], o8925[18], i1314[18])
COND_LOAD51825(TRUE, java.lang.Object(ARRAY(i6[19], a14630data[19])), i636[19], o8925[19], i1314[19]) → STORE5482(java.lang.Object(ARRAY(i6[19], a14630data[19])), i636[19], o8925[19], 0)
LOAD5214(java.lang.Object(ARRAY(i6[20], a14630data[20])), i636[20], java.lang.Object(IntList(o9257[20], i1372[20])), java.lang.Object(IntList(o9257[20], i1372[20]))) → RETURN5413(java.lang.Object(ARRAY(i6[20], a14630data[20])), i636[20], java.lang.Object(IntList(o9257[20], i1372[20])), i1372[20])
LOAD5182(java.lang.Object(ARRAY(i6[21], a14630data[21])), i636[21], java.lang.Object(IntList(o9257[21], i1372[21])), i1314[21], java.lang.Object(IntList(o9257[21], i1372[21]))) → COND_LOAD51826(<=(i1314[21], 1), java.lang.Object(ARRAY(i6[21], a14630data[21])), i636[21], i1314[21], java.lang.Object(IntList(o9257[21], i1372[21])))
COND_LOAD51826(TRUE, java.lang.Object(ARRAY(i6[22], a14630data[22])), i636[22], i1314[22], java.lang.Object(IntList(o9257[22], i1372[22]))) → RETURN5413(java.lang.Object(ARRAY(i6[22], a14630data[22])), i636[22], java.lang.Object(IntList(o9257[22], i1372[22])), i1372[22])

The following pairs are in P:

LOAD3666(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0]) → LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))
LOAD3666ARR1(java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1]))) → COND_LOAD3666ARR1(&&(&&(&&(>(i123[1], 0), <(i123[1], i6[1])), >(i500[1], 0)), >(+(i123[1], 1), 0)), java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1])))
COND_LOAD3666ARR1(TRUE, java.lang.Object(ARRAY(i6[2], a8555data[2])), i123[2], java.lang.Object(IntList(o5524[2], i503[2])), i500[2], java.lang.Object(java.lang.String(i801[2]))) → LOAD5182(java.lang.Object(ARRAY(i6[2], a8555data[2])), +(i123[2], 1), o5524[2], i801[2], o5524[2])
JMP5555'(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3]) → LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])
LOAD5182(java.lang.Object(ARRAY(i6[4], a14630data[4])), i636[4], o8925[4], i1315[4], java.lang.Object(IntList(o9395[4], i1395[4]))) → COND_LOAD5182(>(i1315[4], 1), java.lang.Object(ARRAY(i6[4], a14630data[4])), i636[4], o8925[4], i1315[4], java.lang.Object(IntList(o9395[4], i1395[4])))
COND_LOAD5182(TRUE, java.lang.Object(ARRAY(i6[5], a14630data[5])), i636[5], o8925[5], i1315[5], java.lang.Object(IntList(o9395[5], i1395[5]))) → LOAD5182(java.lang.Object(ARRAY(i6[5], a14630data[5])), i636[5], o8925[5], +(i1315[5], -1), o9395[5])
LOAD5182(java.lang.Object(ARRAY(i6[6], a14630data[6])), i636[6], o8925[6], i1315[6], o8924[6]) → COND_LOAD51821(&&(>(i1315[6], 0), <=(i1315[6], 1)), java.lang.Object(ARRAY(i6[6], a14630data[6])), i636[6], o8925[6], i1315[6], o8924[6])
COND_LOAD51821(TRUE, java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], i1315[7], o8924[7]) → LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7])
STORE5482(java.lang.Object(ARRAY(i6[10], a14630data[10])), i636[10], o8925[10], i1370[10]) → LOAD3666(java.lang.Object(ARRAY(i6[10], a14630data[10])), i636[10], o8925[10], i1370[10])
RETURN5413(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], o8925[11], i1370[11]) → LOAD3666(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], o8925[11], i1370[11])
LOAD5214(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], o8925[12], java.lang.Object(IntList(o9251[12], i1370[12]))) → LOAD3666(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], o8925[12], i1370[12])
LOAD5182(java.lang.Object(ARRAY(i6[13], a14630data[13])), i636[13], o8925[13], i1314[13], java.lang.Object(IntList(o9251[13], i1370[13]))) → COND_LOAD51823(<=(i1314[13], 1), java.lang.Object(ARRAY(i6[13], a14630data[13])), i636[13], o8925[13], i1314[13], java.lang.Object(IntList(o9251[13], i1370[13])))
COND_LOAD51823(TRUE, java.lang.Object(ARRAY(i6[14], a14630data[14])), i636[14], o8925[14], i1314[14], java.lang.Object(IntList(o9251[14], i1370[14]))) → LOAD3666(java.lang.Object(ARRAY(i6[14], a14630data[14])), i636[14], o8925[14], i1370[14])
LOAD5182(java.lang.Object(ARRAY(i6[15], a14630data[15])), i636[15], java.lang.Object(IntList(o9408[15], i1398[15])), i1315[15], java.lang.Object(IntList(o9408[15], i1398[15]))) → COND_LOAD51824(>(i1315[15], 1), java.lang.Object(ARRAY(i6[15], a14630data[15])), i636[15], i1315[15], java.lang.Object(IntList(o9408[15], i1398[15])))
COND_LOAD51824(TRUE, java.lang.Object(ARRAY(i6[16], a14630data[16])), i636[16], i1315[16], java.lang.Object(IntList(o9408[16], i1398[16]))) → JMP5555'(java.lang.Object(ARRAY(i6[16], a14630data[16])), i636[16], java.lang.Object(IntList(o9408[16], i1398[16])), +(i1315[16], -1), o9408[16])
LOAD5214(java.lang.Object(ARRAY(i6[17], a14630data[17])), i636[17], o8925[17], NULL) → STORE5482(java.lang.Object(ARRAY(i6[17], a14630data[17])), i636[17], o8925[17], 0)
LOAD5182(java.lang.Object(ARRAY(i6[18], a14630data[18])), i636[18], o8925[18], i1314[18], NULL) → COND_LOAD51825(<=(i1314[18], 1), java.lang.Object(ARRAY(i6[18], a14630data[18])), i636[18], o8925[18], i1314[18])
LOAD5214(java.lang.Object(ARRAY(i6[20], a14630data[20])), i636[20], java.lang.Object(IntList(o9257[20], i1372[20])), java.lang.Object(IntList(o9257[20], i1372[20]))) → RETURN5413(java.lang.Object(ARRAY(i6[20], a14630data[20])), i636[20], java.lang.Object(IntList(o9257[20], i1372[20])), i1372[20])
LOAD5182(java.lang.Object(ARRAY(i6[21], a14630data[21])), i636[21], java.lang.Object(IntList(o9257[21], i1372[21])), i1314[21], java.lang.Object(IntList(o9257[21], i1372[21]))) → COND_LOAD51826(<=(i1314[21], 1), java.lang.Object(ARRAY(i6[21], a14630data[21])), i636[21], i1314[21], java.lang.Object(IntList(o9257[21], i1372[21])))
COND_LOAD51826(TRUE, java.lang.Object(ARRAY(i6[22], a14630data[22])), i636[22], i1314[22], java.lang.Object(IntList(o9257[22], i1372[22]))) → RETURN5413(java.lang.Object(ARRAY(i6[22], a14630data[22])), i636[22], java.lang.Object(IntList(o9257[22], i1372[22])), i1372[22])

At least the following rules have been oriented under context sensitive arithmetic replacement:

&&(TRUE, TRUE)1TRUE1
&&(TRUE, FALSE)1FALSE1
&&(FALSE, TRUE)1FALSE1
&&(FALSE, FALSE)1FALSE1

(17) Complex Obligation (AND)

(18) 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): LOAD3666(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0]) → LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))
(1): LOAD3666ARR1(java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1]))) → COND_LOAD3666ARR1(i123[1] > 0 && i123[1] < i6[1] && i500[1] > 0 && i123[1] + 1 > 0, java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1])))
(2): COND_LOAD3666ARR1(TRUE, java.lang.Object(ARRAY(i6[2], a8555data[2])), i123[2], java.lang.Object(IntList(o5524[2], i503[2])), i500[2], java.lang.Object(java.lang.String(i801[2]))) → LOAD5182(java.lang.Object(ARRAY(i6[2], a8555data[2])), i123[2] + 1, o5524[2], i801[2], o5524[2])
(3): JMP5555'(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3]) → LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])
(4): LOAD5182(java.lang.Object(ARRAY(i6[4], a14630data[4])), i636[4], o8925[4], i1315[4], java.lang.Object(IntList(o9395[4], i1395[4]))) → COND_LOAD5182(i1315[4] > 1, java.lang.Object(ARRAY(i6[4], a14630data[4])), i636[4], o8925[4], i1315[4], java.lang.Object(IntList(o9395[4], i1395[4])))
(5): COND_LOAD5182(TRUE, java.lang.Object(ARRAY(i6[5], a14630data[5])), i636[5], o8925[5], i1315[5], java.lang.Object(IntList(o9395[5], i1395[5]))) → LOAD5182(java.lang.Object(ARRAY(i6[5], a14630data[5])), i636[5], o8925[5], i1315[5] + -1, o9395[5])
(6): LOAD5182(java.lang.Object(ARRAY(i6[6], a14630data[6])), i636[6], o8925[6], i1315[6], o8924[6]) → COND_LOAD51821(i1315[6] > 0 && i1315[6] <= 1, java.lang.Object(ARRAY(i6[6], a14630data[6])), i636[6], o8925[6], i1315[6], o8924[6])
(7): COND_LOAD51821(TRUE, java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], i1315[7], o8924[7]) → LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7])
(10): STORE5482(java.lang.Object(ARRAY(i6[10], a14630data[10])), i636[10], o8925[10], i1370[10]) → LOAD3666(java.lang.Object(ARRAY(i6[10], a14630data[10])), i636[10], o8925[10], i1370[10])
(11): RETURN5413(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], o8925[11], i1370[11]) → LOAD3666(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], o8925[11], i1370[11])
(12): LOAD5214(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], o8925[12], java.lang.Object(IntList(o9251[12], i1370[12]))) → LOAD3666(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], o8925[12], i1370[12])
(13): LOAD5182(java.lang.Object(ARRAY(i6[13], a14630data[13])), i636[13], o8925[13], i1314[13], java.lang.Object(IntList(o9251[13], i1370[13]))) → COND_LOAD51823(i1314[13] <= 1, java.lang.Object(ARRAY(i6[13], a14630data[13])), i636[13], o8925[13], i1314[13], java.lang.Object(IntList(o9251[13], i1370[13])))
(14): COND_LOAD51823(TRUE, java.lang.Object(ARRAY(i6[14], a14630data[14])), i636[14], o8925[14], i1314[14], java.lang.Object(IntList(o9251[14], i1370[14]))) → LOAD3666(java.lang.Object(ARRAY(i6[14], a14630data[14])), i636[14], o8925[14], i1370[14])
(15): LOAD5182(java.lang.Object(ARRAY(i6[15], a14630data[15])), i636[15], java.lang.Object(IntList(o9408[15], i1398[15])), i1315[15], java.lang.Object(IntList(o9408[15], i1398[15]))) → COND_LOAD51824(i1315[15] > 1, java.lang.Object(ARRAY(i6[15], a14630data[15])), i636[15], i1315[15], java.lang.Object(IntList(o9408[15], i1398[15])))
(16): COND_LOAD51824(TRUE, java.lang.Object(ARRAY(i6[16], a14630data[16])), i636[16], i1315[16], java.lang.Object(IntList(o9408[16], i1398[16]))) → JMP5555'(java.lang.Object(ARRAY(i6[16], a14630data[16])), i636[16], java.lang.Object(IntList(o9408[16], i1398[16])), i1315[16] + -1, o9408[16])
(17): LOAD5214(java.lang.Object(ARRAY(i6[17], a14630data[17])), i636[17], o8925[17], NULL) → STORE5482(java.lang.Object(ARRAY(i6[17], a14630data[17])), i636[17], o8925[17], 0)
(18): LOAD5182(java.lang.Object(ARRAY(i6[18], a14630data[18])), i636[18], o8925[18], i1314[18], NULL) → COND_LOAD51825(i1314[18] <= 1, java.lang.Object(ARRAY(i6[18], a14630data[18])), i636[18], o8925[18], i1314[18])
(20): LOAD5214(java.lang.Object(ARRAY(i6[20], a14630data[20])), i636[20], java.lang.Object(IntList(o9257[20], i1372[20])), java.lang.Object(IntList(o9257[20], i1372[20]))) → RETURN5413(java.lang.Object(ARRAY(i6[20], a14630data[20])), i636[20], java.lang.Object(IntList(o9257[20], i1372[20])), i1372[20])
(21): LOAD5182(java.lang.Object(ARRAY(i6[21], a14630data[21])), i636[21], java.lang.Object(IntList(o9257[21], i1372[21])), i1314[21], java.lang.Object(IntList(o9257[21], i1372[21]))) → COND_LOAD51826(i1314[21] <= 1, java.lang.Object(ARRAY(i6[21], a14630data[21])), i636[21], i1314[21], java.lang.Object(IntList(o9257[21], i1372[21])))
(22): COND_LOAD51826(TRUE, java.lang.Object(ARRAY(i6[22], a14630data[22])), i636[22], i1314[22], java.lang.Object(IntList(o9257[22], i1372[22]))) → RETURN5413(java.lang.Object(ARRAY(i6[22], a14630data[22])), i636[22], java.lang.Object(IntList(o9257[22], i1372[22])), i1372[22])

(10) -> (0), if ((o8925[10]* java.lang.Object(IntList(o5524[0], i503[0])))∧(i636[10]* i123[0])∧((i6[10]* i6[0])∧(a14630data[10]* a8555data[0]))∧(i1370[10]* i500[0]))


(11) -> (0), if ((i636[11]* i123[0])∧(i1370[11]* i500[0])∧((i6[11]* i6[0])∧(a14630data[11]* a8555data[0]))∧(o8925[11]* java.lang.Object(IntList(o5524[0], i503[0]))))


(12) -> (0), if ((o8925[12]* java.lang.Object(IntList(o5524[0], i503[0])))∧(i636[12]* i123[0])∧(i1370[12]* i500[0])∧((i6[12]* i6[0])∧(a14630data[12]* a8555data[0])))


(14) -> (0), if ((i1370[14]* i500[0])∧(o8925[14]* java.lang.Object(IntList(o5524[0], i503[0])))∧(i636[14]* i123[0])∧((i6[14]* i6[0])∧(a14630data[14]* a8555data[0])))


(0) -> (1), if ((i500[0]* i500[1])∧((i6[0]* i6[1])∧(a8555data[0]* a8555data[1]))∧(i123[0]* i123[1])∧((o5524[0]* o5524[1])∧(i503[0]* i503[1]))∧((i801[0]* i801[1])))


(1) -> (2), if (((i801[1]* i801[2]))∧(i123[1] > 0 && i123[1] < i6[1] && i500[1] > 0 && i123[1] + 1 > 0* TRUE)∧((i6[1]* i6[2])∧(a8555data[1]* a8555data[2]))∧(i123[1]* i123[2])∧(i500[1]* i500[2])∧((o5524[1]* o5524[2])∧(i503[1]* i503[2])))


(16) -> (3), if ((i1315[16] + -1* i1365[3])∧(java.lang.Object(IntList(o9408[16], i1398[16])) →* o8925[3])∧(o9408[16]* o9395[3])∧((i6[16]* i6[3])∧(a14630data[16]* a14630data[3]))∧(i636[16]* i636[3]))


(2) -> (4), if ((i801[2]* i1315[4])∧(o5524[2]* java.lang.Object(IntList(o9395[4], i1395[4])))∧(i123[2] + 1* i636[4])∧((i6[2]* i6[4])∧(a8555data[2]* a14630data[4]))∧(o5524[2]* o8925[4]))


(3) -> (4), if ((o8925[3]* o8925[4])∧(o9395[3]* java.lang.Object(IntList(o9395[4], i1395[4])))∧((i6[3]* i6[4])∧(a14630data[3]* a14630data[4]))∧(i636[3]* i636[4])∧(i1365[3]* i1315[4]))


(5) -> (4), if (((i6[5]* i6[4])∧(a14630data[5]* a14630data[4]))∧(i1315[5] + -1* i1315[4])∧(o9395[5]* java.lang.Object(IntList(o9395[4], i1395[4])))∧(o8925[5]* o8925[4])∧(i636[5]* i636[4]))


(4) -> (5), if ((i1315[4] > 1* TRUE)∧((o9395[4]* o9395[5])∧(i1395[4]* i1395[5]))∧(o8925[4]* o8925[5])∧(i1315[4]* i1315[5])∧(i636[4]* i636[5])∧((i6[4]* i6[5])∧(a14630data[4]* a14630data[5])))


(2) -> (6), if ((o5524[2]* o8924[6])∧((i6[2]* i6[6])∧(a8555data[2]* a14630data[6]))∧(o5524[2]* o8925[6])∧(i801[2]* i1315[6])∧(i123[2] + 1* i636[6]))


(3) -> (6), if ((o9395[3]* o8924[6])∧(o8925[3]* o8925[6])∧(i636[3]* i636[6])∧((i6[3]* i6[6])∧(a14630data[3]* a14630data[6]))∧(i1365[3]* i1315[6]))


(5) -> (6), if ((i1315[5] + -1* i1315[6])∧((i6[5]* i6[6])∧(a14630data[5]* a14630data[6]))∧(o8925[5]* o8925[6])∧(o9395[5]* o8924[6])∧(i636[5]* i636[6]))


(6) -> (7), if ((i1315[6] > 0 && i1315[6] <= 1* TRUE)∧(i1315[6]* i1315[7])∧(o8925[6]* o8925[7])∧((i6[6]* i6[7])∧(a14630data[6]* a14630data[7]))∧(o8924[6]* o8924[7])∧(i636[6]* i636[7]))


(17) -> (10), if ((i636[17]* i636[10])∧(0* i1370[10])∧((i6[17]* i6[10])∧(a14630data[17]* a14630data[10]))∧(o8925[17]* o8925[10]))


(20) -> (11), if (((i6[20]* i6[11])∧(a14630data[20]* a14630data[11]))∧(i1372[20]* i1370[11])∧(java.lang.Object(IntList(o9257[20], i1372[20])) →* o8925[11])∧(i636[20]* i636[11]))


(22) -> (11), if ((i1372[22]* i1370[11])∧(i636[22]* i636[11])∧(java.lang.Object(IntList(o9257[22], i1372[22])) →* o8925[11])∧((i6[22]* i6[11])∧(a14630data[22]* a14630data[11])))


(7) -> (12), if ((o8924[7]* java.lang.Object(IntList(o9251[12], i1370[12])))∧((i6[7]* i6[12])∧(a14630data[7]* a14630data[12]))∧(o8925[7]* o8925[12])∧(i636[7]* i636[12]))


(2) -> (13), if ((o5524[2]* java.lang.Object(IntList(o9251[13], i1370[13])))∧(i801[2]* i1314[13])∧(o5524[2]* o8925[13])∧((i6[2]* i6[13])∧(a8555data[2]* a14630data[13]))∧(i123[2] + 1* i636[13]))


(3) -> (13), if (((i6[3]* i6[13])∧(a14630data[3]* a14630data[13]))∧(i636[3]* i636[13])∧(o8925[3]* o8925[13])∧(i1365[3]* i1314[13])∧(o9395[3]* java.lang.Object(IntList(o9251[13], i1370[13]))))


(5) -> (13), if ((i1315[5] + -1* i1314[13])∧(o9395[5]* java.lang.Object(IntList(o9251[13], i1370[13])))∧(o8925[5]* o8925[13])∧((i6[5]* i6[13])∧(a14630data[5]* a14630data[13]))∧(i636[5]* i636[13]))


(13) -> (14), if ((i1314[13]* i1314[14])∧((i6[13]* i6[14])∧(a14630data[13]* a14630data[14]))∧(o8925[13]* o8925[14])∧(i1314[13] <= 1* TRUE)∧(i636[13]* i636[14])∧((o9251[13]* o9251[14])∧(i1370[13]* i1370[14])))


(2) -> (15), if ((i123[2] + 1* i636[15])∧((i6[2]* i6[15])∧(a8555data[2]* a14630data[15]))∧(i801[2]* i1315[15])∧(o5524[2]* java.lang.Object(IntList(o9408[15], i1398[15]))))


(3) -> (15), if ((i636[3]* i636[15])∧((i6[3]* i6[15])∧(a14630data[3]* a14630data[15]))∧(o8925[3]* java.lang.Object(IntList(o9408[15], i1398[15])))∧(o9395[3]* java.lang.Object(IntList(o9408[15], i1398[15])))∧(i1365[3]* i1315[15]))


(5) -> (15), if (((i6[5]* i6[15])∧(a14630data[5]* a14630data[15]))∧(o9395[5]* java.lang.Object(IntList(o9408[15], i1398[15])))∧(o8925[5]* java.lang.Object(IntList(o9408[15], i1398[15])))∧(i636[5]* i636[15])∧(i1315[5] + -1* i1315[15]))


(15) -> (16), if (((o9408[15]* o9408[16])∧(i1398[15]* i1398[16]))∧((i6[15]* i6[16])∧(a14630data[15]* a14630data[16]))∧(i636[15]* i636[16])∧(i1315[15]* i1315[16])∧(i1315[15] > 1* TRUE))


(7) -> (17), if ((o8925[7]* o8925[17])∧(i636[7]* i636[17])∧((i6[7]* i6[17])∧(a14630data[7]* a14630data[17]))∧(o8924[7]* NULL))


(2) -> (18), if ((o5524[2]* NULL)∧(o5524[2]* o8925[18])∧(i801[2]* i1314[18])∧(i123[2] + 1* i636[18])∧((i6[2]* i6[18])∧(a8555data[2]* a14630data[18])))


(3) -> (18), if ((o9395[3]* NULL)∧(i1365[3]* i1314[18])∧(i636[3]* i636[18])∧(o8925[3]* o8925[18])∧((i6[3]* i6[18])∧(a14630data[3]* a14630data[18])))


(5) -> (18), if ((i636[5]* i636[18])∧(o9395[5]* NULL)∧((i6[5]* i6[18])∧(a14630data[5]* a14630data[18]))∧(o8925[5]* o8925[18])∧(i1315[5] + -1* i1314[18]))


(7) -> (20), if ((o8924[7]* java.lang.Object(IntList(o9257[20], i1372[20])))∧(o8925[7]* java.lang.Object(IntList(o9257[20], i1372[20])))∧(i636[7]* i636[20])∧((i6[7]* i6[20])∧(a14630data[7]* a14630data[20])))


(2) -> (21), if ((i801[2]* i1314[21])∧((i6[2]* i6[21])∧(a8555data[2]* a14630data[21]))∧(o5524[2]* java.lang.Object(IntList(o9257[21], i1372[21])))∧(i123[2] + 1* i636[21]))


(3) -> (21), if ((i1365[3]* i1314[21])∧(i636[3]* i636[21])∧(o9395[3]* java.lang.Object(IntList(o9257[21], i1372[21])))∧(o8925[3]* java.lang.Object(IntList(o9257[21], i1372[21])))∧((i6[3]* i6[21])∧(a14630data[3]* a14630data[21])))


(5) -> (21), if (((i6[5]* i6[21])∧(a14630data[5]* a14630data[21]))∧(o9395[5]* java.lang.Object(IntList(o9257[21], i1372[21])))∧(i636[5]* i636[21])∧(o8925[5]* java.lang.Object(IntList(o9257[21], i1372[21])))∧(i1315[5] + -1* i1314[21]))


(21) -> (22), if (((o9257[21]* o9257[22])∧(i1372[21]* i1372[22]))∧(i1314[21]* i1314[22])∧((i6[21]* i6[22])∧(a14630data[21]* a14630data[22]))∧(i636[21]* i636[22])∧(i1314[21] <= 1* TRUE))



The set Q consists of the following terms:
Load3666(java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(IntList(x3, x4)), x5)
Load3666ARR1(java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(IntList(x3, x4)), x5, java.lang.Object(java.lang.String(x6)))
Cond_Load3666ARR1(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(IntList(x3, x4)), x5, java.lang.Object(java.lang.String(x6)))
JMP5555(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, x5)
Cond_Load5182(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(IntList(x5, x6)))
Load5182(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, x5)
Cond_Load51821(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, x5)
Cond_Load51822(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4)
Store5482(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4)
Return5413(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4)
Load5214(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(IntList(x4, x5)))
Cond_Load51823(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(IntList(x5, x6)))
Cond_Load51824(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(IntList(x4, x5)))
Load5214(java.lang.Object(ARRAY(x0, x1)), x2, x3, NULL)
Cond_Load51825(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4)
Cond_Load51826(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(IntList(x4, x5)))

(19) IDependencyGraphProof (EQUIVALENT transformation)

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

(20) 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:
(22): COND_LOAD51826(TRUE, java.lang.Object(ARRAY(i6[22], a14630data[22])), i636[22], i1314[22], java.lang.Object(IntList(o9257[22], i1372[22]))) → RETURN5413(java.lang.Object(ARRAY(i6[22], a14630data[22])), i636[22], java.lang.Object(IntList(o9257[22], i1372[22])), i1372[22])
(21): LOAD5182(java.lang.Object(ARRAY(i6[21], a14630data[21])), i636[21], java.lang.Object(IntList(o9257[21], i1372[21])), i1314[21], java.lang.Object(IntList(o9257[21], i1372[21]))) → COND_LOAD51826(i1314[21] <= 1, java.lang.Object(ARRAY(i6[21], a14630data[21])), i636[21], i1314[21], java.lang.Object(IntList(o9257[21], i1372[21])))
(3): JMP5555'(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3]) → LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])
(16): COND_LOAD51824(TRUE, java.lang.Object(ARRAY(i6[16], a14630data[16])), i636[16], i1315[16], java.lang.Object(IntList(o9408[16], i1398[16]))) → JMP5555'(java.lang.Object(ARRAY(i6[16], a14630data[16])), i636[16], java.lang.Object(IntList(o9408[16], i1398[16])), i1315[16] + -1, o9408[16])
(15): LOAD5182(java.lang.Object(ARRAY(i6[15], a14630data[15])), i636[15], java.lang.Object(IntList(o9408[15], i1398[15])), i1315[15], java.lang.Object(IntList(o9408[15], i1398[15]))) → COND_LOAD51824(i1315[15] > 1, java.lang.Object(ARRAY(i6[15], a14630data[15])), i636[15], i1315[15], java.lang.Object(IntList(o9408[15], i1398[15])))
(14): COND_LOAD51823(TRUE, java.lang.Object(ARRAY(i6[14], a14630data[14])), i636[14], o8925[14], i1314[14], java.lang.Object(IntList(o9251[14], i1370[14]))) → LOAD3666(java.lang.Object(ARRAY(i6[14], a14630data[14])), i636[14], o8925[14], i1370[14])
(13): LOAD5182(java.lang.Object(ARRAY(i6[13], a14630data[13])), i636[13], o8925[13], i1314[13], java.lang.Object(IntList(o9251[13], i1370[13]))) → COND_LOAD51823(i1314[13] <= 1, java.lang.Object(ARRAY(i6[13], a14630data[13])), i636[13], o8925[13], i1314[13], java.lang.Object(IntList(o9251[13], i1370[13])))
(11): RETURN5413(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], o8925[11], i1370[11]) → LOAD3666(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], o8925[11], i1370[11])
(20): LOAD5214(java.lang.Object(ARRAY(i6[20], a14630data[20])), i636[20], java.lang.Object(IntList(o9257[20], i1372[20])), java.lang.Object(IntList(o9257[20], i1372[20]))) → RETURN5413(java.lang.Object(ARRAY(i6[20], a14630data[20])), i636[20], java.lang.Object(IntList(o9257[20], i1372[20])), i1372[20])
(10): STORE5482(java.lang.Object(ARRAY(i6[10], a14630data[10])), i636[10], o8925[10], i1370[10]) → LOAD3666(java.lang.Object(ARRAY(i6[10], a14630data[10])), i636[10], o8925[10], i1370[10])
(17): LOAD5214(java.lang.Object(ARRAY(i6[17], a14630data[17])), i636[17], o8925[17], NULL) → STORE5482(java.lang.Object(ARRAY(i6[17], a14630data[17])), i636[17], o8925[17], 0)
(12): LOAD5214(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], o8925[12], java.lang.Object(IntList(o9251[12], i1370[12]))) → LOAD3666(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], o8925[12], i1370[12])
(7): COND_LOAD51821(TRUE, java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], i1315[7], o8924[7]) → LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7])
(6): LOAD5182(java.lang.Object(ARRAY(i6[6], a14630data[6])), i636[6], o8925[6], i1315[6], o8924[6]) → COND_LOAD51821(i1315[6] > 0 && i1315[6] <= 1, java.lang.Object(ARRAY(i6[6], a14630data[6])), i636[6], o8925[6], i1315[6], o8924[6])
(5): COND_LOAD5182(TRUE, java.lang.Object(ARRAY(i6[5], a14630data[5])), i636[5], o8925[5], i1315[5], java.lang.Object(IntList(o9395[5], i1395[5]))) → LOAD5182(java.lang.Object(ARRAY(i6[5], a14630data[5])), i636[5], o8925[5], i1315[5] + -1, o9395[5])
(4): LOAD5182(java.lang.Object(ARRAY(i6[4], a14630data[4])), i636[4], o8925[4], i1315[4], java.lang.Object(IntList(o9395[4], i1395[4]))) → COND_LOAD5182(i1315[4] > 1, java.lang.Object(ARRAY(i6[4], a14630data[4])), i636[4], o8925[4], i1315[4], java.lang.Object(IntList(o9395[4], i1395[4])))
(2): COND_LOAD3666ARR1(TRUE, java.lang.Object(ARRAY(i6[2], a8555data[2])), i123[2], java.lang.Object(IntList(o5524[2], i503[2])), i500[2], java.lang.Object(java.lang.String(i801[2]))) → LOAD5182(java.lang.Object(ARRAY(i6[2], a8555data[2])), i123[2] + 1, o5524[2], i801[2], o5524[2])
(1): LOAD3666ARR1(java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1]))) → COND_LOAD3666ARR1(i123[1] > 0 && i123[1] < i6[1] && i500[1] > 0 && i123[1] + 1 > 0, java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1])))
(0): LOAD3666(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0]) → LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))

(10) -> (0), if ((o8925[10]* java.lang.Object(IntList(o5524[0], i503[0])))∧(i636[10]* i123[0])∧((i6[10]* i6[0])∧(a14630data[10]* a8555data[0]))∧(i1370[10]* i500[0]))


(11) -> (0), if ((i636[11]* i123[0])∧(i1370[11]* i500[0])∧((i6[11]* i6[0])∧(a14630data[11]* a8555data[0]))∧(o8925[11]* java.lang.Object(IntList(o5524[0], i503[0]))))


(12) -> (0), if ((o8925[12]* java.lang.Object(IntList(o5524[0], i503[0])))∧(i636[12]* i123[0])∧(i1370[12]* i500[0])∧((i6[12]* i6[0])∧(a14630data[12]* a8555data[0])))


(14) -> (0), if ((i1370[14]* i500[0])∧(o8925[14]* java.lang.Object(IntList(o5524[0], i503[0])))∧(i636[14]* i123[0])∧((i6[14]* i6[0])∧(a14630data[14]* a8555data[0])))


(0) -> (1), if ((i500[0]* i500[1])∧((i6[0]* i6[1])∧(a8555data[0]* a8555data[1]))∧(i123[0]* i123[1])∧((o5524[0]* o5524[1])∧(i503[0]* i503[1]))∧((i801[0]* i801[1])))


(1) -> (2), if (((i801[1]* i801[2]))∧(i123[1] > 0 && i123[1] < i6[1] && i500[1] > 0 && i123[1] + 1 > 0* TRUE)∧((i6[1]* i6[2])∧(a8555data[1]* a8555data[2]))∧(i123[1]* i123[2])∧(i500[1]* i500[2])∧((o5524[1]* o5524[2])∧(i503[1]* i503[2])))


(16) -> (3), if ((i1315[16] + -1* i1365[3])∧(java.lang.Object(IntList(o9408[16], i1398[16])) →* o8925[3])∧(o9408[16]* o9395[3])∧((i6[16]* i6[3])∧(a14630data[16]* a14630data[3]))∧(i636[16]* i636[3]))


(2) -> (4), if ((i801[2]* i1315[4])∧(o5524[2]* java.lang.Object(IntList(o9395[4], i1395[4])))∧(i123[2] + 1* i636[4])∧((i6[2]* i6[4])∧(a8555data[2]* a14630data[4]))∧(o5524[2]* o8925[4]))


(3) -> (4), if ((o8925[3]* o8925[4])∧(o9395[3]* java.lang.Object(IntList(o9395[4], i1395[4])))∧((i6[3]* i6[4])∧(a14630data[3]* a14630data[4]))∧(i636[3]* i636[4])∧(i1365[3]* i1315[4]))


(5) -> (4), if (((i6[5]* i6[4])∧(a14630data[5]* a14630data[4]))∧(i1315[5] + -1* i1315[4])∧(o9395[5]* java.lang.Object(IntList(o9395[4], i1395[4])))∧(o8925[5]* o8925[4])∧(i636[5]* i636[4]))


(4) -> (5), if ((i1315[4] > 1* TRUE)∧((o9395[4]* o9395[5])∧(i1395[4]* i1395[5]))∧(o8925[4]* o8925[5])∧(i1315[4]* i1315[5])∧(i636[4]* i636[5])∧((i6[4]* i6[5])∧(a14630data[4]* a14630data[5])))


(2) -> (6), if ((o5524[2]* o8924[6])∧((i6[2]* i6[6])∧(a8555data[2]* a14630data[6]))∧(o5524[2]* o8925[6])∧(i801[2]* i1315[6])∧(i123[2] + 1* i636[6]))


(3) -> (6), if ((o9395[3]* o8924[6])∧(o8925[3]* o8925[6])∧(i636[3]* i636[6])∧((i6[3]* i6[6])∧(a14630data[3]* a14630data[6]))∧(i1365[3]* i1315[6]))


(5) -> (6), if ((i1315[5] + -1* i1315[6])∧((i6[5]* i6[6])∧(a14630data[5]* a14630data[6]))∧(o8925[5]* o8925[6])∧(o9395[5]* o8924[6])∧(i636[5]* i636[6]))


(6) -> (7), if ((i1315[6] > 0 && i1315[6] <= 1* TRUE)∧(i1315[6]* i1315[7])∧(o8925[6]* o8925[7])∧((i6[6]* i6[7])∧(a14630data[6]* a14630data[7]))∧(o8924[6]* o8924[7])∧(i636[6]* i636[7]))


(17) -> (10), if ((i636[17]* i636[10])∧(0* i1370[10])∧((i6[17]* i6[10])∧(a14630data[17]* a14630data[10]))∧(o8925[17]* o8925[10]))


(20) -> (11), if (((i6[20]* i6[11])∧(a14630data[20]* a14630data[11]))∧(i1372[20]* i1370[11])∧(java.lang.Object(IntList(o9257[20], i1372[20])) →* o8925[11])∧(i636[20]* i636[11]))


(22) -> (11), if ((i1372[22]* i1370[11])∧(i636[22]* i636[11])∧(java.lang.Object(IntList(o9257[22], i1372[22])) →* o8925[11])∧((i6[22]* i6[11])∧(a14630data[22]* a14630data[11])))


(7) -> (12), if ((o8924[7]* java.lang.Object(IntList(o9251[12], i1370[12])))∧((i6[7]* i6[12])∧(a14630data[7]* a14630data[12]))∧(o8925[7]* o8925[12])∧(i636[7]* i636[12]))


(2) -> (13), if ((o5524[2]* java.lang.Object(IntList(o9251[13], i1370[13])))∧(i801[2]* i1314[13])∧(o5524[2]* o8925[13])∧((i6[2]* i6[13])∧(a8555data[2]* a14630data[13]))∧(i123[2] + 1* i636[13]))


(3) -> (13), if (((i6[3]* i6[13])∧(a14630data[3]* a14630data[13]))∧(i636[3]* i636[13])∧(o8925[3]* o8925[13])∧(i1365[3]* i1314[13])∧(o9395[3]* java.lang.Object(IntList(o9251[13], i1370[13]))))


(5) -> (13), if ((i1315[5] + -1* i1314[13])∧(o9395[5]* java.lang.Object(IntList(o9251[13], i1370[13])))∧(o8925[5]* o8925[13])∧((i6[5]* i6[13])∧(a14630data[5]* a14630data[13]))∧(i636[5]* i636[13]))


(13) -> (14), if ((i1314[13]* i1314[14])∧((i6[13]* i6[14])∧(a14630data[13]* a14630data[14]))∧(o8925[13]* o8925[14])∧(i1314[13] <= 1* TRUE)∧(i636[13]* i636[14])∧((o9251[13]* o9251[14])∧(i1370[13]* i1370[14])))


(2) -> (15), if ((i123[2] + 1* i636[15])∧((i6[2]* i6[15])∧(a8555data[2]* a14630data[15]))∧(i801[2]* i1315[15])∧(o5524[2]* java.lang.Object(IntList(o9408[15], i1398[15]))))


(3) -> (15), if ((i636[3]* i636[15])∧((i6[3]* i6[15])∧(a14630data[3]* a14630data[15]))∧(o8925[3]* java.lang.Object(IntList(o9408[15], i1398[15])))∧(o9395[3]* java.lang.Object(IntList(o9408[15], i1398[15])))∧(i1365[3]* i1315[15]))


(5) -> (15), if (((i6[5]* i6[15])∧(a14630data[5]* a14630data[15]))∧(o9395[5]* java.lang.Object(IntList(o9408[15], i1398[15])))∧(o8925[5]* java.lang.Object(IntList(o9408[15], i1398[15])))∧(i636[5]* i636[15])∧(i1315[5] + -1* i1315[15]))


(15) -> (16), if (((o9408[15]* o9408[16])∧(i1398[15]* i1398[16]))∧((i6[15]* i6[16])∧(a14630data[15]* a14630data[16]))∧(i636[15]* i636[16])∧(i1315[15]* i1315[16])∧(i1315[15] > 1* TRUE))


(7) -> (17), if ((o8925[7]* o8925[17])∧(i636[7]* i636[17])∧((i6[7]* i6[17])∧(a14630data[7]* a14630data[17]))∧(o8924[7]* NULL))


(7) -> (20), if ((o8924[7]* java.lang.Object(IntList(o9257[20], i1372[20])))∧(o8925[7]* java.lang.Object(IntList(o9257[20], i1372[20])))∧(i636[7]* i636[20])∧((i6[7]* i6[20])∧(a14630data[7]* a14630data[20])))


(2) -> (21), if ((i801[2]* i1314[21])∧((i6[2]* i6[21])∧(a8555data[2]* a14630data[21]))∧(o5524[2]* java.lang.Object(IntList(o9257[21], i1372[21])))∧(i123[2] + 1* i636[21]))


(3) -> (21), if ((i1365[3]* i1314[21])∧(i636[3]* i636[21])∧(o9395[3]* java.lang.Object(IntList(o9257[21], i1372[21])))∧(o8925[3]* java.lang.Object(IntList(o9257[21], i1372[21])))∧((i6[3]* i6[21])∧(a14630data[3]* a14630data[21])))


(5) -> (21), if (((i6[5]* i6[21])∧(a14630data[5]* a14630data[21]))∧(o9395[5]* java.lang.Object(IntList(o9257[21], i1372[21])))∧(i636[5]* i636[21])∧(o8925[5]* java.lang.Object(IntList(o9257[21], i1372[21])))∧(i1315[5] + -1* i1314[21]))


(21) -> (22), if (((o9257[21]* o9257[22])∧(i1372[21]* i1372[22]))∧(i1314[21]* i1314[22])∧((i6[21]* i6[22])∧(a14630data[21]* a14630data[22]))∧(i636[21]* i636[22])∧(i1314[21] <= 1* TRUE))



The set Q consists of the following terms:
Load3666(java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(IntList(x3, x4)), x5)
Load3666ARR1(java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(IntList(x3, x4)), x5, java.lang.Object(java.lang.String(x6)))
Cond_Load3666ARR1(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(IntList(x3, x4)), x5, java.lang.Object(java.lang.String(x6)))
JMP5555(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, x5)
Cond_Load5182(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(IntList(x5, x6)))
Load5182(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, x5)
Cond_Load51821(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, x5)
Cond_Load51822(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4)
Store5482(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4)
Return5413(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4)
Load5214(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(IntList(x4, x5)))
Cond_Load51823(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(IntList(x5, x6)))
Cond_Load51824(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(IntList(x4, x5)))
Load5214(java.lang.Object(ARRAY(x0, x1)), x2, x3, NULL)
Cond_Load51825(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4)
Cond_Load51826(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(IntList(x4, x5)))

(21) 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_LOAD51826(TRUE, java.lang.Object(ARRAY(i6[22], a14630data[22])), i636[22], i1314[22], java.lang.Object(IntList(o9257[22], i1372[22]))) → RETURN5413(java.lang.Object(ARRAY(i6[22], a14630data[22])), i636[22], java.lang.Object(IntList(o9257[22], i1372[22])), i1372[22]) the following chains were created:
  • We consider the chain LOAD5182(java.lang.Object(ARRAY(i6[21], a14630data[21])), i636[21], java.lang.Object(IntList(o9257[21], i1372[21])), i1314[21], java.lang.Object(IntList(o9257[21], i1372[21]))) → COND_LOAD51826(<=(i1314[21], 1), java.lang.Object(ARRAY(i6[21], a14630data[21])), i636[21], i1314[21], java.lang.Object(IntList(o9257[21], i1372[21]))), COND_LOAD51826(TRUE, java.lang.Object(ARRAY(i6[22], a14630data[22])), i636[22], i1314[22], java.lang.Object(IntList(o9257[22], i1372[22]))) → RETURN5413(java.lang.Object(ARRAY(i6[22], a14630data[22])), i636[22], java.lang.Object(IntList(o9257[22], i1372[22])), i1372[22]), RETURN5413(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], o8925[11], i1370[11]) → LOAD3666(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], o8925[11], i1370[11]) which results in the following constraint:

    (1)    (o9257[21]=o9257[22]i1372[21]=i1372[22]i1314[21]=i1314[22]i6[21]=i6[22]a14630data[21]=a14630data[22]i636[21]=i636[22]<=(i1314[21], 1)=TRUEi1372[22]=i1370[11]i636[22]=i636[11]java.lang.Object(IntList(o9257[22], i1372[22]))=o8925[11]i6[22]=i6[11]a14630data[22]=a14630data[11]COND_LOAD51826(TRUE, java.lang.Object(ARRAY(i6[22], a14630data[22])), i636[22], i1314[22], java.lang.Object(IntList(o9257[22], i1372[22])))≥RETURN5413(java.lang.Object(ARRAY(i6[22], a14630data[22])), i636[22], java.lang.Object(IntList(o9257[22], i1372[22])), i1372[22])∧(UIncreasing(RETURN5413(java.lang.Object(ARRAY(i6[22], a14630data[22])), i636[22], java.lang.Object(IntList(o9257[22], i1372[22])), i1372[22])), ≥))



    We simplified constraint (1) using rules (III), (IV) which results in the following new constraint:

    (2)    (<=(i1314[21], 1)=TRUECOND_LOAD51826(TRUE, java.lang.Object(ARRAY(i6[21], a14630data[21])), i636[21], i1314[21], java.lang.Object(IntList(o9257[21], i1372[21])))≥RETURN5413(java.lang.Object(ARRAY(i6[21], a14630data[21])), i636[21], java.lang.Object(IntList(o9257[21], i1372[21])), i1372[21])∧(UIncreasing(RETURN5413(java.lang.Object(ARRAY(i6[22], a14630data[22])), i636[22], java.lang.Object(IntList(o9257[22], i1372[22])), i1372[22])), ≥))



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

    (3)    (0 ≥ 0 ⇒ (UIncreasing(RETURN5413(java.lang.Object(ARRAY(i6[22], a14630data[22])), i636[22], java.lang.Object(IntList(o9257[22], i1372[22])), i1372[22])), ≥)∧[(-1)bso_90] ≥ 0)



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

    (4)    (0 ≥ 0 ⇒ (UIncreasing(RETURN5413(java.lang.Object(ARRAY(i6[22], a14630data[22])), i636[22], java.lang.Object(IntList(o9257[22], i1372[22])), i1372[22])), ≥)∧[(-1)bso_90] ≥ 0)



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

    (5)    (0 ≥ 0 ⇒ (UIncreasing(RETURN5413(java.lang.Object(ARRAY(i6[22], a14630data[22])), i636[22], java.lang.Object(IntList(o9257[22], i1372[22])), i1372[22])), ≥)∧[(-1)bso_90] ≥ 0)



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

    (6)    (0 ≥ 0 ⇒ (UIncreasing(RETURN5413(java.lang.Object(ARRAY(i6[22], a14630data[22])), i636[22], java.lang.Object(IntList(o9257[22], i1372[22])), i1372[22])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_90] ≥ 0)







For Pair LOAD5182(java.lang.Object(ARRAY(i6[21], a14630data[21])), i636[21], java.lang.Object(IntList(o9257[21], i1372[21])), i1314[21], java.lang.Object(IntList(o9257[21], i1372[21]))) → COND_LOAD51826(<=(i1314[21], 1), java.lang.Object(ARRAY(i6[21], a14630data[21])), i636[21], i1314[21], java.lang.Object(IntList(o9257[21], i1372[21]))) the following chains were created:
  • We consider the chain LOAD5182(java.lang.Object(ARRAY(i6[21], a14630data[21])), i636[21], java.lang.Object(IntList(o9257[21], i1372[21])), i1314[21], java.lang.Object(IntList(o9257[21], i1372[21]))) → COND_LOAD51826(<=(i1314[21], 1), java.lang.Object(ARRAY(i6[21], a14630data[21])), i636[21], i1314[21], java.lang.Object(IntList(o9257[21], i1372[21]))), COND_LOAD51826(TRUE, java.lang.Object(ARRAY(i6[22], a14630data[22])), i636[22], i1314[22], java.lang.Object(IntList(o9257[22], i1372[22]))) → RETURN5413(java.lang.Object(ARRAY(i6[22], a14630data[22])), i636[22], java.lang.Object(IntList(o9257[22], i1372[22])), i1372[22]) which results in the following constraint:

    (7)    (o9257[21]=o9257[22]i1372[21]=i1372[22]i1314[21]=i1314[22]i6[21]=i6[22]a14630data[21]=a14630data[22]i636[21]=i636[22]<=(i1314[21], 1)=TRUELOAD5182(java.lang.Object(ARRAY(i6[21], a14630data[21])), i636[21], java.lang.Object(IntList(o9257[21], i1372[21])), i1314[21], java.lang.Object(IntList(o9257[21], i1372[21])))≥COND_LOAD51826(<=(i1314[21], 1), java.lang.Object(ARRAY(i6[21], a14630data[21])), i636[21], i1314[21], java.lang.Object(IntList(o9257[21], i1372[21])))∧(UIncreasing(COND_LOAD51826(<=(i1314[21], 1), java.lang.Object(ARRAY(i6[21], a14630data[21])), i636[21], i1314[21], java.lang.Object(IntList(o9257[21], i1372[21])))), ≥))



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

    (8)    (<=(i1314[21], 1)=TRUELOAD5182(java.lang.Object(ARRAY(i6[21], a14630data[21])), i636[21], java.lang.Object(IntList(o9257[21], i1372[21])), i1314[21], java.lang.Object(IntList(o9257[21], i1372[21])))≥COND_LOAD51826(<=(i1314[21], 1), java.lang.Object(ARRAY(i6[21], a14630data[21])), i636[21], i1314[21], java.lang.Object(IntList(o9257[21], i1372[21])))∧(UIncreasing(COND_LOAD51826(<=(i1314[21], 1), java.lang.Object(ARRAY(i6[21], a14630data[21])), i636[21], i1314[21], java.lang.Object(IntList(o9257[21], i1372[21])))), ≥))



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

    (9)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD51826(<=(i1314[21], 1), java.lang.Object(ARRAY(i6[21], a14630data[21])), i636[21], i1314[21], java.lang.Object(IntList(o9257[21], i1372[21])))), ≥)∧[(-1)bso_91] + [8]i1372[21] + [8]o9257[21] ≥ 0)



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

    (10)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD51826(<=(i1314[21], 1), java.lang.Object(ARRAY(i6[21], a14630data[21])), i636[21], i1314[21], java.lang.Object(IntList(o9257[21], i1372[21])))), ≥)∧[(-1)bso_91] + [8]i1372[21] + [8]o9257[21] ≥ 0)



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

    (11)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD51826(<=(i1314[21], 1), java.lang.Object(ARRAY(i6[21], a14630data[21])), i636[21], i1314[21], java.lang.Object(IntList(o9257[21], i1372[21])))), ≥)∧[(-1)bso_91] + [8]i1372[21] + [8]o9257[21] ≥ 0)



    We simplified constraint (11) using rules (IDP_UNRESTRICTED_VARS), (IDP_POLY_GCD) which results in the following new constraint:

    (12)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD51826(<=(i1314[21], 1), java.lang.Object(ARRAY(i6[21], a14630data[21])), i636[21], i1314[21], java.lang.Object(IntList(o9257[21], i1372[21])))), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_91] ≥ 0∧[1] ≥ 0∧[1] ≥ 0)







For Pair JMP5555'(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3]) → LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3]) the following chains were created:
  • We consider the chain JMP5555'(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3]) → LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3]), LOAD5182(java.lang.Object(ARRAY(i6[4], a14630data[4])), i636[4], o8925[4], i1315[4], java.lang.Object(IntList(o9395[4], i1395[4]))) → COND_LOAD5182(>(i1315[4], 1), java.lang.Object(ARRAY(i6[4], a14630data[4])), i636[4], o8925[4], i1315[4], java.lang.Object(IntList(o9395[4], i1395[4]))) which results in the following constraint:

    (13)    (o8925[3]=o8925[4]o9395[3]=java.lang.Object(IntList(o9395[4], i1395[4]))∧i6[3]=i6[4]a14630data[3]=a14630data[4]i636[3]=i636[4]i1365[3]=i1315[4]JMP5555'(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])≥LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])∧(UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥))



    We simplified constraint (13) using rules (III), (IV) which results in the following new constraint:

    (14)    (JMP5555'(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], java.lang.Object(IntList(o9395[4], i1395[4])))≥LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], java.lang.Object(IntList(o9395[4], i1395[4])))∧(UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥))



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

    (15)    ((UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥)∧[(-1)bso_92] ≥ 0)



    We simplified constraint (15) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (16)    ((UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥)∧[(-1)bso_92] ≥ 0)



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

    (17)    ((UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥)∧[(-1)bso_92] ≥ 0)



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

    (18)    ((UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_92] ≥ 0)



  • We consider the chain JMP5555'(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3]) → LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3]), LOAD5182(java.lang.Object(ARRAY(i6[6], a14630data[6])), i636[6], o8925[6], i1315[6], o8924[6]) → COND_LOAD51821(&&(>(i1315[6], 0), <=(i1315[6], 1)), java.lang.Object(ARRAY(i6[6], a14630data[6])), i636[6], o8925[6], i1315[6], o8924[6]) which results in the following constraint:

    (19)    (o9395[3]=o8924[6]o8925[3]=o8925[6]i636[3]=i636[6]i6[3]=i6[6]a14630data[3]=a14630data[6]i1365[3]=i1315[6]JMP5555'(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])≥LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])∧(UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥))



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

    (20)    (JMP5555'(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])≥LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])∧(UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥))



    We simplified constraint (20) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (21)    ((UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥)∧[(-1)bso_92] ≥ 0)



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

    (22)    ((UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥)∧[(-1)bso_92] ≥ 0)



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

    (23)    ((UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥)∧[(-1)bso_92] ≥ 0)



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

    (24)    ((UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_92] ≥ 0)



  • We consider the chain JMP5555'(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3]) → LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3]), LOAD5182(java.lang.Object(ARRAY(i6[13], a14630data[13])), i636[13], o8925[13], i1314[13], java.lang.Object(IntList(o9251[13], i1370[13]))) → COND_LOAD51823(<=(i1314[13], 1), java.lang.Object(ARRAY(i6[13], a14630data[13])), i636[13], o8925[13], i1314[13], java.lang.Object(IntList(o9251[13], i1370[13]))) which results in the following constraint:

    (25)    (i6[3]=i6[13]a14630data[3]=a14630data[13]i636[3]=i636[13]o8925[3]=o8925[13]i1365[3]=i1314[13]o9395[3]=java.lang.Object(IntList(o9251[13], i1370[13])) ⇒ JMP5555'(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])≥LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])∧(UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥))



    We simplified constraint (25) using rules (III), (IV) which results in the following new constraint:

    (26)    (JMP5555'(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], java.lang.Object(IntList(o9251[13], i1370[13])))≥LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], java.lang.Object(IntList(o9251[13], i1370[13])))∧(UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥))



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

    (27)    ((UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥)∧[(-1)bso_92] ≥ 0)



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

    (28)    ((UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥)∧[(-1)bso_92] ≥ 0)



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

    (29)    ((UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥)∧[(-1)bso_92] ≥ 0)



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

    (30)    ((UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_92] ≥ 0)



  • We consider the chain JMP5555'(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3]) → LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3]), LOAD5182(java.lang.Object(ARRAY(i6[15], a14630data[15])), i636[15], java.lang.Object(IntList(o9408[15], i1398[15])), i1315[15], java.lang.Object(IntList(o9408[15], i1398[15]))) → COND_LOAD51824(>(i1315[15], 1), java.lang.Object(ARRAY(i6[15], a14630data[15])), i636[15], i1315[15], java.lang.Object(IntList(o9408[15], i1398[15]))) which results in the following constraint:

    (31)    (i636[3]=i636[15]i6[3]=i6[15]a14630data[3]=a14630data[15]o8925[3]=java.lang.Object(IntList(o9408[15], i1398[15]))∧o9395[3]=java.lang.Object(IntList(o9408[15], i1398[15]))∧i1365[3]=i1315[15]JMP5555'(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])≥LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])∧(UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥))



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

    (32)    (JMP5555'(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], java.lang.Object(IntList(o9408[15], i1398[15])), i1365[3], java.lang.Object(IntList(o9408[15], i1398[15])))≥LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], java.lang.Object(IntList(o9408[15], i1398[15])), i1365[3], java.lang.Object(IntList(o9408[15], i1398[15])))∧(UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥))



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

    (33)    ((UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥)∧[(-1)bso_92] ≥ 0)



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

    (34)    ((UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥)∧[(-1)bso_92] ≥ 0)



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

    (35)    ((UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥)∧[(-1)bso_92] ≥ 0)



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

    (36)    ((UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_92] ≥ 0)



  • We consider the chain JMP5555'(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3]) → LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3]), LOAD5182(java.lang.Object(ARRAY(i6[21], a14630data[21])), i636[21], java.lang.Object(IntList(o9257[21], i1372[21])), i1314[21], java.lang.Object(IntList(o9257[21], i1372[21]))) → COND_LOAD51826(<=(i1314[21], 1), java.lang.Object(ARRAY(i6[21], a14630data[21])), i636[21], i1314[21], java.lang.Object(IntList(o9257[21], i1372[21]))) which results in the following constraint:

    (37)    (i1365[3]=i1314[21]i636[3]=i636[21]o9395[3]=java.lang.Object(IntList(o9257[21], i1372[21]))∧o8925[3]=java.lang.Object(IntList(o9257[21], i1372[21]))∧i6[3]=i6[21]a14630data[3]=a14630data[21]JMP5555'(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])≥LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])∧(UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥))



    We simplified constraint (37) using rules (III), (IV) which results in the following new constraint:

    (38)    (JMP5555'(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], java.lang.Object(IntList(o9257[21], i1372[21])), i1365[3], java.lang.Object(IntList(o9257[21], i1372[21])))≥LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], java.lang.Object(IntList(o9257[21], i1372[21])), i1365[3], java.lang.Object(IntList(o9257[21], i1372[21])))∧(UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥))



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

    (39)    ((UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥)∧[(-1)bso_92] ≥ 0)



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

    (40)    ((UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥)∧[(-1)bso_92] ≥ 0)



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

    (41)    ((UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥)∧[(-1)bso_92] ≥ 0)



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

    (42)    ((UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_92] ≥ 0)







For Pair COND_LOAD51824(TRUE, java.lang.Object(ARRAY(i6[16], a14630data[16])), i636[16], i1315[16], java.lang.Object(IntList(o9408[16], i1398[16]))) → JMP5555'(java.lang.Object(ARRAY(i6[16], a14630data[16])), i636[16], java.lang.Object(IntList(o9408[16], i1398[16])), +(i1315[16], -1), o9408[16]) the following chains were created:
  • We consider the chain LOAD5182(java.lang.Object(ARRAY(i6[15], a14630data[15])), i636[15], java.lang.Object(IntList(o9408[15], i1398[15])), i1315[15], java.lang.Object(IntList(o9408[15], i1398[15]))) → COND_LOAD51824(>(i1315[15], 1), java.lang.Object(ARRAY(i6[15], a14630data[15])), i636[15], i1315[15], java.lang.Object(IntList(o9408[15], i1398[15]))), COND_LOAD51824(TRUE, java.lang.Object(ARRAY(i6[16], a14630data[16])), i636[16], i1315[16], java.lang.Object(IntList(o9408[16], i1398[16]))) → JMP5555'(java.lang.Object(ARRAY(i6[16], a14630data[16])), i636[16], java.lang.Object(IntList(o9408[16], i1398[16])), +(i1315[16], -1), o9408[16]), JMP5555'(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3]) → LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3]) which results in the following constraint:

    (43)    (o9408[15]=o9408[16]i1398[15]=i1398[16]i6[15]=i6[16]a14630data[15]=a14630data[16]i636[15]=i636[16]i1315[15]=i1315[16]>(i1315[15], 1)=TRUE+(i1315[16], -1)=i1365[3]java.lang.Object(IntList(o9408[16], i1398[16]))=o8925[3]o9408[16]=o9395[3]i6[16]=i6[3]a14630data[16]=a14630data[3]i636[16]=i636[3]COND_LOAD51824(TRUE, java.lang.Object(ARRAY(i6[16], a14630data[16])), i636[16], i1315[16], java.lang.Object(IntList(o9408[16], i1398[16])))≥JMP5555'(java.lang.Object(ARRAY(i6[16], a14630data[16])), i636[16], java.lang.Object(IntList(o9408[16], i1398[16])), +(i1315[16], -1), o9408[16])∧(UIncreasing(JMP5555'(java.lang.Object(ARRAY(i6[16], a14630data[16])), i636[16], java.lang.Object(IntList(o9408[16], i1398[16])), +(i1315[16], -1), o9408[16])), ≥))



    We simplified constraint (43) using rules (III), (IV) which results in the following new constraint:

    (44)    (>(i1315[15], 1)=TRUECOND_LOAD51824(TRUE, java.lang.Object(ARRAY(i6[15], a14630data[15])), i636[15], i1315[15], java.lang.Object(IntList(o9408[15], i1398[15])))≥JMP5555'(java.lang.Object(ARRAY(i6[15], a14630data[15])), i636[15], java.lang.Object(IntList(o9408[15], i1398[15])), +(i1315[15], -1), o9408[15])∧(UIncreasing(JMP5555'(java.lang.Object(ARRAY(i6[16], a14630data[16])), i636[16], java.lang.Object(IntList(o9408[16], i1398[16])), +(i1315[16], -1), o9408[16])), ≥))



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

    (45)    (0 ≥ 0 ⇒ (UIncreasing(JMP5555'(java.lang.Object(ARRAY(i6[16], a14630data[16])), i636[16], java.lang.Object(IntList(o9408[16], i1398[16])), +(i1315[16], -1), o9408[16])), ≥)∧[(-1)bso_93] + [4]i1398[15] + [2]o9408[15] ≥ 0)



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

    (46)    (0 ≥ 0 ⇒ (UIncreasing(JMP5555'(java.lang.Object(ARRAY(i6[16], a14630data[16])), i636[16], java.lang.Object(IntList(o9408[16], i1398[16])), +(i1315[16], -1), o9408[16])), ≥)∧[(-1)bso_93] + [4]i1398[15] + [2]o9408[15] ≥ 0)



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

    (47)    (0 ≥ 0 ⇒ (UIncreasing(JMP5555'(java.lang.Object(ARRAY(i6[16], a14630data[16])), i636[16], java.lang.Object(IntList(o9408[16], i1398[16])), +(i1315[16], -1), o9408[16])), ≥)∧[(-1)bso_93] + [4]i1398[15] + [2]o9408[15] ≥ 0)



    We simplified constraint (47) using rules (IDP_UNRESTRICTED_VARS), (IDP_POLY_GCD) which results in the following new constraint:

    (48)    (0 ≥ 0 ⇒ (UIncreasing(JMP5555'(java.lang.Object(ARRAY(i6[16], a14630data[16])), i636[16], java.lang.Object(IntList(o9408[16], i1398[16])), +(i1315[16], -1), o9408[16])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_93] ≥ 0∧[1] ≥ 0∧[1] ≥ 0)







For Pair LOAD5182(java.lang.Object(ARRAY(i6[15], a14630data[15])), i636[15], java.lang.Object(IntList(o9408[15], i1398[15])), i1315[15], java.lang.Object(IntList(o9408[15], i1398[15]))) → COND_LOAD51824(>(i1315[15], 1), java.lang.Object(ARRAY(i6[15], a14630data[15])), i636[15], i1315[15], java.lang.Object(IntList(o9408[15], i1398[15]))) the following chains were created:
  • We consider the chain LOAD5182(java.lang.Object(ARRAY(i6[15], a14630data[15])), i636[15], java.lang.Object(IntList(o9408[15], i1398[15])), i1315[15], java.lang.Object(IntList(o9408[15], i1398[15]))) → COND_LOAD51824(>(i1315[15], 1), java.lang.Object(ARRAY(i6[15], a14630data[15])), i636[15], i1315[15], java.lang.Object(IntList(o9408[15], i1398[15]))), COND_LOAD51824(TRUE, java.lang.Object(ARRAY(i6[16], a14630data[16])), i636[16], i1315[16], java.lang.Object(IntList(o9408[16], i1398[16]))) → JMP5555'(java.lang.Object(ARRAY(i6[16], a14630data[16])), i636[16], java.lang.Object(IntList(o9408[16], i1398[16])), +(i1315[16], -1), o9408[16]) which results in the following constraint:

    (49)    (o9408[15]=o9408[16]i1398[15]=i1398[16]i6[15]=i6[16]a14630data[15]=a14630data[16]i636[15]=i636[16]i1315[15]=i1315[16]>(i1315[15], 1)=TRUELOAD5182(java.lang.Object(ARRAY(i6[15], a14630data[15])), i636[15], java.lang.Object(IntList(o9408[15], i1398[15])), i1315[15], java.lang.Object(IntList(o9408[15], i1398[15])))≥COND_LOAD51824(>(i1315[15], 1), java.lang.Object(ARRAY(i6[15], a14630data[15])), i636[15], i1315[15], java.lang.Object(IntList(o9408[15], i1398[15])))∧(UIncreasing(COND_LOAD51824(>(i1315[15], 1), java.lang.Object(ARRAY(i6[15], a14630data[15])), i636[15], i1315[15], java.lang.Object(IntList(o9408[15], i1398[15])))), ≥))



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

    (50)    (>(i1315[15], 1)=TRUELOAD5182(java.lang.Object(ARRAY(i6[15], a14630data[15])), i636[15], java.lang.Object(IntList(o9408[15], i1398[15])), i1315[15], java.lang.Object(IntList(o9408[15], i1398[15])))≥COND_LOAD51824(>(i1315[15], 1), java.lang.Object(ARRAY(i6[15], a14630data[15])), i636[15], i1315[15], java.lang.Object(IntList(o9408[15], i1398[15])))∧(UIncreasing(COND_LOAD51824(>(i1315[15], 1), java.lang.Object(ARRAY(i6[15], a14630data[15])), i636[15], i1315[15], java.lang.Object(IntList(o9408[15], i1398[15])))), ≥))



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

    (51)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD51824(>(i1315[15], 1), java.lang.Object(ARRAY(i6[15], a14630data[15])), i636[15], i1315[15], java.lang.Object(IntList(o9408[15], i1398[15])))), ≥)∧[(-1)bso_94] + [4]i1398[15] + [4]o9408[15] ≥ 0)



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

    (52)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD51824(>(i1315[15], 1), java.lang.Object(ARRAY(i6[15], a14630data[15])), i636[15], i1315[15], java.lang.Object(IntList(o9408[15], i1398[15])))), ≥)∧[(-1)bso_94] + [4]i1398[15] + [4]o9408[15] ≥ 0)



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

    (53)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD51824(>(i1315[15], 1), java.lang.Object(ARRAY(i6[15], a14630data[15])), i636[15], i1315[15], java.lang.Object(IntList(o9408[15], i1398[15])))), ≥)∧[(-1)bso_94] + [4]i1398[15] + [4]o9408[15] ≥ 0)



    We simplified constraint (53) using rules (IDP_UNRESTRICTED_VARS), (IDP_POLY_GCD) which results in the following new constraint:

    (54)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD51824(>(i1315[15], 1), java.lang.Object(ARRAY(i6[15], a14630data[15])), i636[15], i1315[15], java.lang.Object(IntList(o9408[15], i1398[15])))), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_94] ≥ 0∧[1] ≥ 0∧[1] ≥ 0)







For Pair COND_LOAD51823(TRUE, java.lang.Object(ARRAY(i6[14], a14630data[14])), i636[14], o8925[14], i1314[14], java.lang.Object(IntList(o9251[14], i1370[14]))) → LOAD3666(java.lang.Object(ARRAY(i6[14], a14630data[14])), i636[14], o8925[14], i1370[14]) the following chains were created:
  • We consider the chain LOAD5182(java.lang.Object(ARRAY(i6[13], a14630data[13])), i636[13], o8925[13], i1314[13], java.lang.Object(IntList(o9251[13], i1370[13]))) → COND_LOAD51823(<=(i1314[13], 1), java.lang.Object(ARRAY(i6[13], a14630data[13])), i636[13], o8925[13], i1314[13], java.lang.Object(IntList(o9251[13], i1370[13]))), COND_LOAD51823(TRUE, java.lang.Object(ARRAY(i6[14], a14630data[14])), i636[14], o8925[14], i1314[14], java.lang.Object(IntList(o9251[14], i1370[14]))) → LOAD3666(java.lang.Object(ARRAY(i6[14], a14630data[14])), i636[14], o8925[14], i1370[14]), LOAD3666(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0]) → LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0]))) which results in the following constraint:

    (55)    (i1314[13]=i1314[14]i6[13]=i6[14]a14630data[13]=a14630data[14]o8925[13]=o8925[14]<=(i1314[13], 1)=TRUEi636[13]=i636[14]o9251[13]=o9251[14]i1370[13]=i1370[14]i1370[14]=i500[0]o8925[14]=java.lang.Object(IntList(o5524[0], i503[0]))∧i636[14]=i123[0]i6[14]=i6[0]a14630data[14]=a8555data[0]COND_LOAD51823(TRUE, java.lang.Object(ARRAY(i6[14], a14630data[14])), i636[14], o8925[14], i1314[14], java.lang.Object(IntList(o9251[14], i1370[14])))≥LOAD3666(java.lang.Object(ARRAY(i6[14], a14630data[14])), i636[14], o8925[14], i1370[14])∧(UIncreasing(LOAD3666(java.lang.Object(ARRAY(i6[14], a14630data[14])), i636[14], o8925[14], i1370[14])), ≥))



    We simplified constraint (55) using rules (III), (IV) which results in the following new constraint:

    (56)    (<=(i1314[13], 1)=TRUECOND_LOAD51823(TRUE, java.lang.Object(ARRAY(i6[13], a14630data[13])), i636[13], java.lang.Object(IntList(o5524[0], i503[0])), i1314[13], java.lang.Object(IntList(o9251[13], i1370[13])))≥LOAD3666(java.lang.Object(ARRAY(i6[13], a14630data[13])), i636[13], java.lang.Object(IntList(o5524[0], i503[0])), i1370[13])∧(UIncreasing(LOAD3666(java.lang.Object(ARRAY(i6[14], a14630data[14])), i636[14], o8925[14], i1370[14])), ≥))



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

    (57)    (0 ≥ 0 ⇒ (UIncreasing(LOAD3666(java.lang.Object(ARRAY(i6[14], a14630data[14])), i636[14], o8925[14], i1370[14])), ≥)∧[(-1)bso_95] ≥ 0)



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

    (58)    (0 ≥ 0 ⇒ (UIncreasing(LOAD3666(java.lang.Object(ARRAY(i6[14], a14630data[14])), i636[14], o8925[14], i1370[14])), ≥)∧[(-1)bso_95] ≥ 0)



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

    (59)    (0 ≥ 0 ⇒ (UIncreasing(LOAD3666(java.lang.Object(ARRAY(i6[14], a14630data[14])), i636[14], o8925[14], i1370[14])), ≥)∧[(-1)bso_95] ≥ 0)



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

    (60)    (0 ≥ 0 ⇒ (UIncreasing(LOAD3666(java.lang.Object(ARRAY(i6[14], a14630data[14])), i636[14], o8925[14], i1370[14])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_95] ≥ 0)







For Pair LOAD5182(java.lang.Object(ARRAY(i6[13], a14630data[13])), i636[13], o8925[13], i1314[13], java.lang.Object(IntList(o9251[13], i1370[13]))) → COND_LOAD51823(<=(i1314[13], 1), java.lang.Object(ARRAY(i6[13], a14630data[13])), i636[13], o8925[13], i1314[13], java.lang.Object(IntList(o9251[13], i1370[13]))) the following chains were created:
  • We consider the chain LOAD5182(java.lang.Object(ARRAY(i6[13], a14630data[13])), i636[13], o8925[13], i1314[13], java.lang.Object(IntList(o9251[13], i1370[13]))) → COND_LOAD51823(<=(i1314[13], 1), java.lang.Object(ARRAY(i6[13], a14630data[13])), i636[13], o8925[13], i1314[13], java.lang.Object(IntList(o9251[13], i1370[13]))), COND_LOAD51823(TRUE, java.lang.Object(ARRAY(i6[14], a14630data[14])), i636[14], o8925[14], i1314[14], java.lang.Object(IntList(o9251[14], i1370[14]))) → LOAD3666(java.lang.Object(ARRAY(i6[14], a14630data[14])), i636[14], o8925[14], i1370[14]) which results in the following constraint:

    (61)    (i1314[13]=i1314[14]i6[13]=i6[14]a14630data[13]=a14630data[14]o8925[13]=o8925[14]<=(i1314[13], 1)=TRUEi636[13]=i636[14]o9251[13]=o9251[14]i1370[13]=i1370[14]LOAD5182(java.lang.Object(ARRAY(i6[13], a14630data[13])), i636[13], o8925[13], i1314[13], java.lang.Object(IntList(o9251[13], i1370[13])))≥COND_LOAD51823(<=(i1314[13], 1), java.lang.Object(ARRAY(i6[13], a14630data[13])), i636[13], o8925[13], i1314[13], java.lang.Object(IntList(o9251[13], i1370[13])))∧(UIncreasing(COND_LOAD51823(<=(i1314[13], 1), java.lang.Object(ARRAY(i6[13], a14630data[13])), i636[13], o8925[13], i1314[13], java.lang.Object(IntList(o9251[13], i1370[13])))), ≥))



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

    (62)    (<=(i1314[13], 1)=TRUELOAD5182(java.lang.Object(ARRAY(i6[13], a14630data[13])), i636[13], o8925[13], i1314[13], java.lang.Object(IntList(o9251[13], i1370[13])))≥COND_LOAD51823(<=(i1314[13], 1), java.lang.Object(ARRAY(i6[13], a14630data[13])), i636[13], o8925[13], i1314[13], java.lang.Object(IntList(o9251[13], i1370[13])))∧(UIncreasing(COND_LOAD51823(<=(i1314[13], 1), java.lang.Object(ARRAY(i6[13], a14630data[13])), i636[13], o8925[13], i1314[13], java.lang.Object(IntList(o9251[13], i1370[13])))), ≥))



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

    (63)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD51823(<=(i1314[13], 1), java.lang.Object(ARRAY(i6[13], a14630data[13])), i636[13], o8925[13], i1314[13], java.lang.Object(IntList(o9251[13], i1370[13])))), ≥)∧[(-1)bso_96] + [8]i1370[13] + [8]o9251[13] ≥ 0)



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

    (64)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD51823(<=(i1314[13], 1), java.lang.Object(ARRAY(i6[13], a14630data[13])), i636[13], o8925[13], i1314[13], java.lang.Object(IntList(o9251[13], i1370[13])))), ≥)∧[(-1)bso_96] + [8]i1370[13] + [8]o9251[13] ≥ 0)



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

    (65)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD51823(<=(i1314[13], 1), java.lang.Object(ARRAY(i6[13], a14630data[13])), i636[13], o8925[13], i1314[13], java.lang.Object(IntList(o9251[13], i1370[13])))), ≥)∧[(-1)bso_96] + [8]i1370[13] + [8]o9251[13] ≥ 0)



    We simplified constraint (65) using rules (IDP_UNRESTRICTED_VARS), (IDP_POLY_GCD) which results in the following new constraint:

    (66)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD51823(<=(i1314[13], 1), java.lang.Object(ARRAY(i6[13], a14630data[13])), i636[13], o8925[13], i1314[13], java.lang.Object(IntList(o9251[13], i1370[13])))), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_96] ≥ 0∧[1] ≥ 0∧[1] ≥ 0)







For Pair RETURN5413(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], o8925[11], i1370[11]) → LOAD3666(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], o8925[11], i1370[11]) the following chains were created:
  • We consider the chain RETURN5413(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], o8925[11], i1370[11]) → LOAD3666(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], o8925[11], i1370[11]), LOAD3666(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0]) → LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0]))) which results in the following constraint:

    (67)    (i636[11]=i123[0]i1370[11]=i500[0]i6[11]=i6[0]a14630data[11]=a8555data[0]o8925[11]=java.lang.Object(IntList(o5524[0], i503[0])) ⇒ RETURN5413(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], o8925[11], i1370[11])≥LOAD3666(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], o8925[11], i1370[11])∧(UIncreasing(LOAD3666(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], o8925[11], i1370[11])), ≥))



    We simplified constraint (67) using rules (III), (IV) which results in the following new constraint:

    (68)    (RETURN5413(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], java.lang.Object(IntList(o5524[0], i503[0])), i1370[11])≥LOAD3666(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], java.lang.Object(IntList(o5524[0], i503[0])), i1370[11])∧(UIncreasing(LOAD3666(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], o8925[11], i1370[11])), ≥))



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

    (69)    ((UIncreasing(LOAD3666(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], o8925[11], i1370[11])), ≥)∧[(-1)bso_97] ≥ 0)



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

    (70)    ((UIncreasing(LOAD3666(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], o8925[11], i1370[11])), ≥)∧[(-1)bso_97] ≥ 0)



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

    (71)    ((UIncreasing(LOAD3666(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], o8925[11], i1370[11])), ≥)∧[(-1)bso_97] ≥ 0)



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

    (72)    ((UIncreasing(LOAD3666(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], o8925[11], i1370[11])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_97] ≥ 0)







For Pair LOAD5214(java.lang.Object(ARRAY(i6[20], a14630data[20])), i636[20], java.lang.Object(IntList(o9257[20], i1372[20])), java.lang.Object(IntList(o9257[20], i1372[20]))) → RETURN5413(java.lang.Object(ARRAY(i6[20], a14630data[20])), i636[20], java.lang.Object(IntList(o9257[20], i1372[20])), i1372[20]) the following chains were created:
  • We consider the chain COND_LOAD51821(TRUE, java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], i1315[7], o8924[7]) → LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7]), LOAD5214(java.lang.Object(ARRAY(i6[20], a14630data[20])), i636[20], java.lang.Object(IntList(o9257[20], i1372[20])), java.lang.Object(IntList(o9257[20], i1372[20]))) → RETURN5413(java.lang.Object(ARRAY(i6[20], a14630data[20])), i636[20], java.lang.Object(IntList(o9257[20], i1372[20])), i1372[20]), RETURN5413(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], o8925[11], i1370[11]) → LOAD3666(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], o8925[11], i1370[11]) which results in the following constraint:

    (73)    (o8924[7]=java.lang.Object(IntList(o9257[20], i1372[20]))∧o8925[7]=java.lang.Object(IntList(o9257[20], i1372[20]))∧i636[7]=i636[20]i6[7]=i6[20]a14630data[7]=a14630data[20]i6[20]=i6[11]a14630data[20]=a14630data[11]i1372[20]=i1370[11]java.lang.Object(IntList(o9257[20], i1372[20]))=o8925[11]i636[20]=i636[11]LOAD5214(java.lang.Object(ARRAY(i6[20], a14630data[20])), i636[20], java.lang.Object(IntList(o9257[20], i1372[20])), java.lang.Object(IntList(o9257[20], i1372[20])))≥RETURN5413(java.lang.Object(ARRAY(i6[20], a14630data[20])), i636[20], java.lang.Object(IntList(o9257[20], i1372[20])), i1372[20])∧(UIncreasing(RETURN5413(java.lang.Object(ARRAY(i6[20], a14630data[20])), i636[20], java.lang.Object(IntList(o9257[20], i1372[20])), i1372[20])), ≥))



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

    (74)    (LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], java.lang.Object(IntList(o9257[20], i1372[20])), java.lang.Object(IntList(o9257[20], i1372[20])))≥RETURN5413(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], java.lang.Object(IntList(o9257[20], i1372[20])), i1372[20])∧(UIncreasing(RETURN5413(java.lang.Object(ARRAY(i6[20], a14630data[20])), i636[20], java.lang.Object(IntList(o9257[20], i1372[20])), i1372[20])), ≥))



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

    (75)    ((UIncreasing(RETURN5413(java.lang.Object(ARRAY(i6[20], a14630data[20])), i636[20], java.lang.Object(IntList(o9257[20], i1372[20])), i1372[20])), ≥)∧[(-1)bso_98] + [8]i1372[20] + [8]o9257[20] ≥ 0)



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

    (76)    ((UIncreasing(RETURN5413(java.lang.Object(ARRAY(i6[20], a14630data[20])), i636[20], java.lang.Object(IntList(o9257[20], i1372[20])), i1372[20])), ≥)∧[(-1)bso_98] + [8]i1372[20] + [8]o9257[20] ≥ 0)



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

    (77)    ((UIncreasing(RETURN5413(java.lang.Object(ARRAY(i6[20], a14630data[20])), i636[20], java.lang.Object(IntList(o9257[20], i1372[20])), i1372[20])), ≥)∧[(-1)bso_98] + [8]i1372[20] + [8]o9257[20] ≥ 0)



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

    (78)    ((UIncreasing(RETURN5413(java.lang.Object(ARRAY(i6[20], a14630data[20])), i636[20], java.lang.Object(IntList(o9257[20], i1372[20])), i1372[20])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_98] ≥ 0∧[1] ≥ 0∧[1] ≥ 0)







For Pair STORE5482(java.lang.Object(ARRAY(i6[10], a14630data[10])), i636[10], o8925[10], i1370[10]) → LOAD3666(java.lang.Object(ARRAY(i6[10], a14630data[10])), i636[10], o8925[10], i1370[10]) the following chains were created:
  • We consider the chain STORE5482(java.lang.Object(ARRAY(i6[10], a14630data[10])), i636[10], o8925[10], i1370[10]) → LOAD3666(java.lang.Object(ARRAY(i6[10], a14630data[10])), i636[10], o8925[10], i1370[10]), LOAD3666(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0]) → LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0]))) which results in the following constraint:

    (79)    (o8925[10]=java.lang.Object(IntList(o5524[0], i503[0]))∧i636[10]=i123[0]i6[10]=i6[0]a14630data[10]=a8555data[0]i1370[10]=i500[0]STORE5482(java.lang.Object(ARRAY(i6[10], a14630data[10])), i636[10], o8925[10], i1370[10])≥LOAD3666(java.lang.Object(ARRAY(i6[10], a14630data[10])), i636[10], o8925[10], i1370[10])∧(UIncreasing(LOAD3666(java.lang.Object(ARRAY(i6[10], a14630data[10])), i636[10], o8925[10], i1370[10])), ≥))



    We simplified constraint (79) using rules (III), (IV) which results in the following new constraint:

    (80)    (STORE5482(java.lang.Object(ARRAY(i6[10], a14630data[10])), i636[10], java.lang.Object(IntList(o5524[0], i503[0])), i1370[10])≥LOAD3666(java.lang.Object(ARRAY(i6[10], a14630data[10])), i636[10], java.lang.Object(IntList(o5524[0], i503[0])), i1370[10])∧(UIncreasing(LOAD3666(java.lang.Object(ARRAY(i6[10], a14630data[10])), i636[10], o8925[10], i1370[10])), ≥))



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

    (81)    ((UIncreasing(LOAD3666(java.lang.Object(ARRAY(i6[10], a14630data[10])), i636[10], o8925[10], i1370[10])), ≥)∧[(-1)bso_99] + i1370[10] ≥ 0)



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

    (82)    ((UIncreasing(LOAD3666(java.lang.Object(ARRAY(i6[10], a14630data[10])), i636[10], o8925[10], i1370[10])), ≥)∧[(-1)bso_99] + i1370[10] ≥ 0)



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

    (83)    ((UIncreasing(LOAD3666(java.lang.Object(ARRAY(i6[10], a14630data[10])), i636[10], o8925[10], i1370[10])), ≥)∧[(-1)bso_99] + i1370[10] ≥ 0)



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

    (84)    ((UIncreasing(LOAD3666(java.lang.Object(ARRAY(i6[10], a14630data[10])), i636[10], o8925[10], i1370[10])), ≥)∧[1] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_99] ≥ 0)







For Pair LOAD5214(java.lang.Object(ARRAY(i6[17], a14630data[17])), i636[17], o8925[17], NULL) → STORE5482(java.lang.Object(ARRAY(i6[17], a14630data[17])), i636[17], o8925[17], 0) the following chains were created:
  • We consider the chain COND_LOAD51821(TRUE, java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], i1315[7], o8924[7]) → LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7]), LOAD5214(java.lang.Object(ARRAY(i6[17], a14630data[17])), i636[17], o8925[17], NULL) → STORE5482(java.lang.Object(ARRAY(i6[17], a14630data[17])), i636[17], o8925[17], 0), STORE5482(java.lang.Object(ARRAY(i6[10], a14630data[10])), i636[10], o8925[10], i1370[10]) → LOAD3666(java.lang.Object(ARRAY(i6[10], a14630data[10])), i636[10], o8925[10], i1370[10]) which results in the following constraint:

    (85)    (o8925[7]=o8925[17]i636[7]=i636[17]i6[7]=i6[17]a14630data[7]=a14630data[17]o8924[7]=NULLi636[17]=i636[10]0=i1370[10]i6[17]=i6[10]a14630data[17]=a14630data[10]o8925[17]=o8925[10]LOAD5214(java.lang.Object(ARRAY(i6[17], a14630data[17])), i636[17], o8925[17], NULL)≥STORE5482(java.lang.Object(ARRAY(i6[17], a14630data[17])), i636[17], o8925[17], 0)∧(UIncreasing(STORE5482(java.lang.Object(ARRAY(i6[17], a14630data[17])), i636[17], o8925[17], 0)), ≥))



    We simplified constraint (85) using rules (III), (IV) which results in the following new constraint:

    (86)    (LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], NULL)≥STORE5482(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], 0)∧(UIncreasing(STORE5482(java.lang.Object(ARRAY(i6[17], a14630data[17])), i636[17], o8925[17], 0)), ≥))



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

    (87)    ((UIncreasing(STORE5482(java.lang.Object(ARRAY(i6[17], a14630data[17])), i636[17], o8925[17], 0)), ≥)∧[4 + (-1)bso_100] ≥ 0)



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

    (88)    ((UIncreasing(STORE5482(java.lang.Object(ARRAY(i6[17], a14630data[17])), i636[17], o8925[17], 0)), ≥)∧[4 + (-1)bso_100] ≥ 0)



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

    (89)    ((UIncreasing(STORE5482(java.lang.Object(ARRAY(i6[17], a14630data[17])), i636[17], o8925[17], 0)), ≥)∧[4 + (-1)bso_100] ≥ 0)



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

    (90)    ((UIncreasing(STORE5482(java.lang.Object(ARRAY(i6[17], a14630data[17])), i636[17], o8925[17], 0)), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[4 + (-1)bso_100] ≥ 0)







For Pair LOAD5214(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], o8925[12], java.lang.Object(IntList(o9251[12], i1370[12]))) → LOAD3666(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], o8925[12], i1370[12]) the following chains were created:
  • We consider the chain COND_LOAD51821(TRUE, java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], i1315[7], o8924[7]) → LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7]), LOAD5214(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], o8925[12], java.lang.Object(IntList(o9251[12], i1370[12]))) → LOAD3666(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], o8925[12], i1370[12]), LOAD3666(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0]) → LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0]))) which results in the following constraint:

    (91)    (o8924[7]=java.lang.Object(IntList(o9251[12], i1370[12]))∧i6[7]=i6[12]a14630data[7]=a14630data[12]o8925[7]=o8925[12]i636[7]=i636[12]o8925[12]=java.lang.Object(IntList(o5524[0], i503[0]))∧i636[12]=i123[0]i1370[12]=i500[0]i6[12]=i6[0]a14630data[12]=a8555data[0]LOAD5214(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], o8925[12], java.lang.Object(IntList(o9251[12], i1370[12])))≥LOAD3666(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], o8925[12], i1370[12])∧(UIncreasing(LOAD3666(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], o8925[12], i1370[12])), ≥))



    We simplified constraint (91) using rules (III), (IV) which results in the following new constraint:

    (92)    (LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], java.lang.Object(IntList(o5524[0], i503[0])), java.lang.Object(IntList(o9251[12], i1370[12])))≥LOAD3666(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], java.lang.Object(IntList(o5524[0], i503[0])), i1370[12])∧(UIncreasing(LOAD3666(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], o8925[12], i1370[12])), ≥))



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

    (93)    ((UIncreasing(LOAD3666(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], o8925[12], i1370[12])), ≥)∧[(-1)bso_101] + [8]i1370[12] + [8]o9251[12] ≥ 0)



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

    (94)    ((UIncreasing(LOAD3666(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], o8925[12], i1370[12])), ≥)∧[(-1)bso_101] + [8]i1370[12] + [8]o9251[12] ≥ 0)



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

    (95)    ((UIncreasing(LOAD3666(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], o8925[12], i1370[12])), ≥)∧[(-1)bso_101] + [8]i1370[12] + [8]o9251[12] ≥ 0)



    We simplified constraint (95) using rules (IDP_UNRESTRICTED_VARS), (IDP_POLY_GCD) which results in the following new constraint:

    (96)    ((UIncreasing(LOAD3666(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], o8925[12], i1370[12])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_101] ≥ 0∧[1] ≥ 0∧[1] ≥ 0)







For Pair COND_LOAD51821(TRUE, java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], i1315[7], o8924[7]) → LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7]) the following chains were created:
  • We consider the chain COND_LOAD51821(TRUE, java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], i1315[7], o8924[7]) → LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7]), LOAD5214(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], o8925[12], java.lang.Object(IntList(o9251[12], i1370[12]))) → LOAD3666(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], o8925[12], i1370[12]) which results in the following constraint:

    (97)    (o8924[7]=java.lang.Object(IntList(o9251[12], i1370[12]))∧i6[7]=i6[12]a14630data[7]=a14630data[12]o8925[7]=o8925[12]i636[7]=i636[12]COND_LOAD51821(TRUE, java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], i1315[7], o8924[7])≥LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7])∧(UIncreasing(LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7])), ≥))



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

    (98)    (COND_LOAD51821(TRUE, java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], i1315[7], java.lang.Object(IntList(o9251[12], i1370[12])))≥LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], java.lang.Object(IntList(o9251[12], i1370[12])))∧(UIncreasing(LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7])), ≥))



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

    (99)    ((UIncreasing(LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7])), ≥)∧[(-1)bso_102] ≥ 0)



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

    (100)    ((UIncreasing(LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7])), ≥)∧[(-1)bso_102] ≥ 0)



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

    (101)    ((UIncreasing(LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7])), ≥)∧[(-1)bso_102] ≥ 0)



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

    (102)    ((UIncreasing(LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_102] ≥ 0)



  • We consider the chain COND_LOAD51821(TRUE, java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], i1315[7], o8924[7]) → LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7]), LOAD5214(java.lang.Object(ARRAY(i6[17], a14630data[17])), i636[17], o8925[17], NULL) → STORE5482(java.lang.Object(ARRAY(i6[17], a14630data[17])), i636[17], o8925[17], 0) which results in the following constraint:

    (103)    (o8925[7]=o8925[17]i636[7]=i636[17]i6[7]=i6[17]a14630data[7]=a14630data[17]o8924[7]=NULLCOND_LOAD51821(TRUE, java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], i1315[7], o8924[7])≥LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7])∧(UIncreasing(LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7])), ≥))



    We simplified constraint (103) using rules (III), (IV) which results in the following new constraint:

    (104)    (COND_LOAD51821(TRUE, java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], i1315[7], NULL)≥LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], NULL)∧(UIncreasing(LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7])), ≥))



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

    (105)    ((UIncreasing(LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7])), ≥)∧[(-1)bso_102] ≥ 0)



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

    (106)    ((UIncreasing(LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7])), ≥)∧[(-1)bso_102] ≥ 0)



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

    (107)    ((UIncreasing(LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7])), ≥)∧[(-1)bso_102] ≥ 0)



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

    (108)    ((UIncreasing(LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_102] ≥ 0)



  • We consider the chain COND_LOAD51821(TRUE, java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], i1315[7], o8924[7]) → LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7]), LOAD5214(java.lang.Object(ARRAY(i6[20], a14630data[20])), i636[20], java.lang.Object(IntList(o9257[20], i1372[20])), java.lang.Object(IntList(o9257[20], i1372[20]))) → RETURN5413(java.lang.Object(ARRAY(i6[20], a14630data[20])), i636[20], java.lang.Object(IntList(o9257[20], i1372[20])), i1372[20]) which results in the following constraint:

    (109)    (o8924[7]=java.lang.Object(IntList(o9257[20], i1372[20]))∧o8925[7]=java.lang.Object(IntList(o9257[20], i1372[20]))∧i636[7]=i636[20]i6[7]=i6[20]a14630data[7]=a14630data[20]COND_LOAD51821(TRUE, java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], i1315[7], o8924[7])≥LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7])∧(UIncreasing(LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7])), ≥))



    We simplified constraint (109) using rules (III), (IV) which results in the following new constraint:

    (110)    (COND_LOAD51821(TRUE, java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], java.lang.Object(IntList(o9257[20], i1372[20])), i1315[7], java.lang.Object(IntList(o9257[20], i1372[20])))≥LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], java.lang.Object(IntList(o9257[20], i1372[20])), java.lang.Object(IntList(o9257[20], i1372[20])))∧(UIncreasing(LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7])), ≥))



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

    (111)    ((UIncreasing(LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7])), ≥)∧[(-1)bso_102] ≥ 0)



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

    (112)    ((UIncreasing(LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7])), ≥)∧[(-1)bso_102] ≥ 0)



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

    (113)    ((UIncreasing(LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7])), ≥)∧[(-1)bso_102] ≥ 0)



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

    (114)    ((UIncreasing(LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_102] ≥ 0)







For Pair LOAD5182(java.lang.Object(ARRAY(i6[6], a14630data[6])), i636[6], o8925[6], i1315[6], o8924[6]) → COND_LOAD51821(&&(>(i1315[6], 0), <=(i1315[6], 1)), java.lang.Object(ARRAY(i6[6], a14630data[6])), i636[6], o8925[6], i1315[6], o8924[6]) the following chains were created:
  • We consider the chain LOAD5182(java.lang.Object(ARRAY(i6[6], a14630data[6])), i636[6], o8925[6], i1315[6], o8924[6]) → COND_LOAD51821(&&(>(i1315[6], 0), <=(i1315[6], 1)), java.lang.Object(ARRAY(i6[6], a14630data[6])), i636[6], o8925[6], i1315[6], o8924[6]), COND_LOAD51821(TRUE, java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], i1315[7], o8924[7]) → LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7]) which results in the following constraint:

    (115)    (&&(>(i1315[6], 0), <=(i1315[6], 1))=TRUEi1315[6]=i1315[7]o8925[6]=o8925[7]i6[6]=i6[7]a14630data[6]=a14630data[7]o8924[6]=o8924[7]i636[6]=i636[7]LOAD5182(java.lang.Object(ARRAY(i6[6], a14630data[6])), i636[6], o8925[6], i1315[6], o8924[6])≥COND_LOAD51821(&&(>(i1315[6], 0), <=(i1315[6], 1)), java.lang.Object(ARRAY(i6[6], a14630data[6])), i636[6], o8925[6], i1315[6], o8924[6])∧(UIncreasing(COND_LOAD51821(&&(>(i1315[6], 0), <=(i1315[6], 1)), java.lang.Object(ARRAY(i6[6], a14630data[6])), i636[6], o8925[6], i1315[6], o8924[6])), ≥))



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

    (116)    (&&(>(i1315[6], 0), <=(i1315[6], 1))=TRUELOAD5182(java.lang.Object(ARRAY(i6[6], a14630data[6])), i636[6], o8925[6], i1315[6], o8924[6])≥COND_LOAD51821(&&(>(i1315[6], 0), <=(i1315[6], 1)), java.lang.Object(ARRAY(i6[6], a14630data[6])), i636[6], o8925[6], i1315[6], o8924[6])∧(UIncreasing(COND_LOAD51821(&&(>(i1315[6], 0), <=(i1315[6], 1)), java.lang.Object(ARRAY(i6[6], a14630data[6])), i636[6], o8925[6], i1315[6], o8924[6])), ≥))



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

    (117)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD51821(&&(>(i1315[6], 0), <=(i1315[6], 1)), java.lang.Object(ARRAY(i6[6], a14630data[6])), i636[6], o8925[6], i1315[6], o8924[6])), ≥)∧[(-1)bso_103] ≥ 0)



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

    (118)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD51821(&&(>(i1315[6], 0), <=(i1315[6], 1)), java.lang.Object(ARRAY(i6[6], a14630data[6])), i636[6], o8925[6], i1315[6], o8924[6])), ≥)∧[(-1)bso_103] ≥ 0)



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

    (119)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD51821(&&(>(i1315[6], 0), <=(i1315[6], 1)), java.lang.Object(ARRAY(i6[6], a14630data[6])), i636[6], o8925[6], i1315[6], o8924[6])), ≥)∧[(-1)bso_103] ≥ 0)



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

    (120)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD51821(&&(>(i1315[6], 0), <=(i1315[6], 1)), java.lang.Object(ARRAY(i6[6], a14630data[6])), i636[6], o8925[6], i1315[6], o8924[6])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_103] ≥ 0)







For Pair COND_LOAD5182(TRUE, java.lang.Object(ARRAY(i6[5], a14630data[5])), i636[5], o8925[5], i1315[5], java.lang.Object(IntList(o9395[5], i1395[5]))) → LOAD5182(java.lang.Object(ARRAY(i6[5], a14630data[5])), i636[5], o8925[5], +(i1315[5], -1), o9395[5]) the following chains were created:
  • We consider the chain LOAD5182(java.lang.Object(ARRAY(i6[4], a14630data[4])), i636[4], o8925[4], i1315[4], java.lang.Object(IntList(o9395[4], i1395[4]))) → COND_LOAD5182(>(i1315[4], 1), java.lang.Object(ARRAY(i6[4], a14630data[4])), i636[4], o8925[4], i1315[4], java.lang.Object(IntList(o9395[4], i1395[4]))), COND_LOAD5182(TRUE, java.lang.Object(ARRAY(i6[5], a14630data[5])), i636[5], o8925[5], i1315[5], java.lang.Object(IntList(o9395[5], i1395[5]))) → LOAD5182(java.lang.Object(ARRAY(i6[5], a14630data[5])), i636[5], o8925[5], +(i1315[5], -1), o9395[5]) which results in the following constraint:

    (121)    (>(i1315[4], 1)=TRUEo9395[4]=o9395[5]i1395[4]=i1395[5]o8925[4]=o8925[5]i1315[4]=i1315[5]i636[4]=i636[5]i6[4]=i6[5]a14630data[4]=a14630data[5]COND_LOAD5182(TRUE, java.lang.Object(ARRAY(i6[5], a14630data[5])), i636[5], o8925[5], i1315[5], java.lang.Object(IntList(o9395[5], i1395[5])))≥LOAD5182(java.lang.Object(ARRAY(i6[5], a14630data[5])), i636[5], o8925[5], +(i1315[5], -1), o9395[5])∧(UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[5], a14630data[5])), i636[5], o8925[5], +(i1315[5], -1), o9395[5])), ≥))



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

    (122)    (>(i1315[4], 1)=TRUECOND_LOAD5182(TRUE, java.lang.Object(ARRAY(i6[4], a14630data[4])), i636[4], o8925[4], i1315[4], java.lang.Object(IntList(o9395[4], i1395[4])))≥LOAD5182(java.lang.Object(ARRAY(i6[4], a14630data[4])), i636[4], o8925[4], +(i1315[4], -1), o9395[4])∧(UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[5], a14630data[5])), i636[5], o8925[5], +(i1315[5], -1), o9395[5])), ≥))



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

    (123)    (0 ≥ 0 ⇒ (UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[5], a14630data[5])), i636[5], o8925[5], +(i1315[5], -1), o9395[5])), ≥)∧[(-1)bso_104] + [8]i1395[4] + [6]o9395[4] ≥ 0)



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

    (124)    (0 ≥ 0 ⇒ (UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[5], a14630data[5])), i636[5], o8925[5], +(i1315[5], -1), o9395[5])), ≥)∧[(-1)bso_104] + [8]i1395[4] + [6]o9395[4] ≥ 0)



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

    (125)    (0 ≥ 0 ⇒ (UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[5], a14630data[5])), i636[5], o8925[5], +(i1315[5], -1), o9395[5])), ≥)∧[(-1)bso_104] + [8]i1395[4] + [6]o9395[4] ≥ 0)



    We simplified constraint (125) using rules (IDP_UNRESTRICTED_VARS), (IDP_POLY_GCD) which results in the following new constraint:

    (126)    (0 ≥ 0 ⇒ (UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[5], a14630data[5])), i636[5], o8925[5], +(i1315[5], -1), o9395[5])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_104] ≥ 0∧[1] ≥ 0∧[1] ≥ 0)







For Pair LOAD5182(java.lang.Object(ARRAY(i6[4], a14630data[4])), i636[4], o8925[4], i1315[4], java.lang.Object(IntList(o9395[4], i1395[4]))) → COND_LOAD5182(>(i1315[4], 1), java.lang.Object(ARRAY(i6[4], a14630data[4])), i636[4], o8925[4], i1315[4], java.lang.Object(IntList(o9395[4], i1395[4]))) the following chains were created:
  • We consider the chain LOAD5182(java.lang.Object(ARRAY(i6[4], a14630data[4])), i636[4], o8925[4], i1315[4], java.lang.Object(IntList(o9395[4], i1395[4]))) → COND_LOAD5182(>(i1315[4], 1), java.lang.Object(ARRAY(i6[4], a14630data[4])), i636[4], o8925[4], i1315[4], java.lang.Object(IntList(o9395[4], i1395[4]))), COND_LOAD5182(TRUE, java.lang.Object(ARRAY(i6[5], a14630data[5])), i636[5], o8925[5], i1315[5], java.lang.Object(IntList(o9395[5], i1395[5]))) → LOAD5182(java.lang.Object(ARRAY(i6[5], a14630data[5])), i636[5], o8925[5], +(i1315[5], -1), o9395[5]) which results in the following constraint:

    (127)    (>(i1315[4], 1)=TRUEo9395[4]=o9395[5]i1395[4]=i1395[5]o8925[4]=o8925[5]i1315[4]=i1315[5]i636[4]=i636[5]i6[4]=i6[5]a14630data[4]=a14630data[5]LOAD5182(java.lang.Object(ARRAY(i6[4], a14630data[4])), i636[4], o8925[4], i1315[4], java.lang.Object(IntList(o9395[4], i1395[4])))≥COND_LOAD5182(>(i1315[4], 1), java.lang.Object(ARRAY(i6[4], a14630data[4])), i636[4], o8925[4], i1315[4], java.lang.Object(IntList(o9395[4], i1395[4])))∧(UIncreasing(COND_LOAD5182(>(i1315[4], 1), java.lang.Object(ARRAY(i6[4], a14630data[4])), i636[4], o8925[4], i1315[4], java.lang.Object(IntList(o9395[4], i1395[4])))), ≥))



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

    (128)    (>(i1315[4], 1)=TRUELOAD5182(java.lang.Object(ARRAY(i6[4], a14630data[4])), i636[4], o8925[4], i1315[4], java.lang.Object(IntList(o9395[4], i1395[4])))≥COND_LOAD5182(>(i1315[4], 1), java.lang.Object(ARRAY(i6[4], a14630data[4])), i636[4], o8925[4], i1315[4], java.lang.Object(IntList(o9395[4], i1395[4])))∧(UIncreasing(COND_LOAD5182(>(i1315[4], 1), java.lang.Object(ARRAY(i6[4], a14630data[4])), i636[4], o8925[4], i1315[4], java.lang.Object(IntList(o9395[4], i1395[4])))), ≥))



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

    (129)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD5182(>(i1315[4], 1), java.lang.Object(ARRAY(i6[4], a14630data[4])), i636[4], o8925[4], i1315[4], java.lang.Object(IntList(o9395[4], i1395[4])))), ≥)∧[(-1)bso_105] ≥ 0)



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

    (130)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD5182(>(i1315[4], 1), java.lang.Object(ARRAY(i6[4], a14630data[4])), i636[4], o8925[4], i1315[4], java.lang.Object(IntList(o9395[4], i1395[4])))), ≥)∧[(-1)bso_105] ≥ 0)



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

    (131)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD5182(>(i1315[4], 1), java.lang.Object(ARRAY(i6[4], a14630data[4])), i636[4], o8925[4], i1315[4], java.lang.Object(IntList(o9395[4], i1395[4])))), ≥)∧[(-1)bso_105] ≥ 0)



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

    (132)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD5182(>(i1315[4], 1), java.lang.Object(ARRAY(i6[4], a14630data[4])), i636[4], o8925[4], i1315[4], java.lang.Object(IntList(o9395[4], i1395[4])))), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_105] ≥ 0)







For Pair COND_LOAD3666ARR1(TRUE, java.lang.Object(ARRAY(i6[2], a8555data[2])), i123[2], java.lang.Object(IntList(o5524[2], i503[2])), i500[2], java.lang.Object(java.lang.String(i801[2]))) → LOAD5182(java.lang.Object(ARRAY(i6[2], a8555data[2])), +(i123[2], 1), o5524[2], i801[2], o5524[2]) the following chains were created:
  • We consider the chain LOAD3666ARR1(java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1]))) → COND_LOAD3666ARR1(&&(&&(&&(>(i123[1], 0), <(i123[1], i6[1])), >(i500[1], 0)), >(+(i123[1], 1), 0)), java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1]))), COND_LOAD3666ARR1(TRUE, java.lang.Object(ARRAY(i6[2], a8555data[2])), i123[2], java.lang.Object(IntList(o5524[2], i503[2])), i500[2], java.lang.Object(java.lang.String(i801[2]))) → LOAD5182(java.lang.Object(ARRAY(i6[2], a8555data[2])), +(i123[2], 1), o5524[2], i801[2], o5524[2]) which results in the following constraint:

    (133)    (i801[1]=i801[2]&&(&&(&&(>(i123[1], 0), <(i123[1], i6[1])), >(i500[1], 0)), >(+(i123[1], 1), 0))=TRUEi6[1]=i6[2]a8555data[1]=a8555data[2]i123[1]=i123[2]i500[1]=i500[2]o5524[1]=o5524[2]i503[1]=i503[2]COND_LOAD3666ARR1(TRUE, java.lang.Object(ARRAY(i6[2], a8555data[2])), i123[2], java.lang.Object(IntList(o5524[2], i503[2])), i500[2], java.lang.Object(java.lang.String(i801[2])))≥LOAD5182(java.lang.Object(ARRAY(i6[2], a8555data[2])), +(i123[2], 1), o5524[2], i801[2], o5524[2])∧(UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[2], a8555data[2])), +(i123[2], 1), o5524[2], i801[2], o5524[2])), ≥))



    We simplified constraint (133) using rule (III) which results in the following new constraint:

    (134)    (&&(&&(&&(>(i123[1], 0), <(i123[1], i6[1])), >(i500[1], 0)), >(+(i123[1], 1), 0))=TRUECOND_LOAD3666ARR1(TRUE, java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1])))≥LOAD5182(java.lang.Object(ARRAY(i6[1], a8555data[1])), +(i123[1], 1), o5524[1], i801[1], o5524[1])∧(UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[2], a8555data[2])), +(i123[2], 1), o5524[2], i801[2], o5524[2])), ≥))



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

    (135)    (0 ≥ 0 ⇒ (UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[2], a8555data[2])), +(i123[2], 1), o5524[2], i801[2], o5524[2])), ≥)∧[(-1)bso_106] + [4]i503[1] ≥ 0)



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

    (136)    (0 ≥ 0 ⇒ (UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[2], a8555data[2])), +(i123[2], 1), o5524[2], i801[2], o5524[2])), ≥)∧[(-1)bso_106] + [4]i503[1] ≥ 0)



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

    (137)    (0 ≥ 0 ⇒ (UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[2], a8555data[2])), +(i123[2], 1), o5524[2], i801[2], o5524[2])), ≥)∧[(-1)bso_106] + [4]i503[1] ≥ 0)



    We simplified constraint (137) using rules (IDP_UNRESTRICTED_VARS), (IDP_POLY_GCD) which results in the following new constraint:

    (138)    (0 ≥ 0 ⇒ (UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[2], a8555data[2])), +(i123[2], 1), o5524[2], i801[2], o5524[2])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_106] ≥ 0∧[1] ≥ 0)







For Pair LOAD3666ARR1(java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1]))) → COND_LOAD3666ARR1(&&(&&(&&(>(i123[1], 0), <(i123[1], i6[1])), >(i500[1], 0)), >(+(i123[1], 1), 0)), java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1]))) the following chains were created:
  • We consider the chain LOAD3666ARR1(java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1]))) → COND_LOAD3666ARR1(&&(&&(&&(>(i123[1], 0), <(i123[1], i6[1])), >(i500[1], 0)), >(+(i123[1], 1), 0)), java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1]))), COND_LOAD3666ARR1(TRUE, java.lang.Object(ARRAY(i6[2], a8555data[2])), i123[2], java.lang.Object(IntList(o5524[2], i503[2])), i500[2], java.lang.Object(java.lang.String(i801[2]))) → LOAD5182(java.lang.Object(ARRAY(i6[2], a8555data[2])), +(i123[2], 1), o5524[2], i801[2], o5524[2]) which results in the following constraint:

    (139)    (i801[1]=i801[2]&&(&&(&&(>(i123[1], 0), <(i123[1], i6[1])), >(i500[1], 0)), >(+(i123[1], 1), 0))=TRUEi6[1]=i6[2]a8555data[1]=a8555data[2]i123[1]=i123[2]i500[1]=i500[2]o5524[1]=o5524[2]i503[1]=i503[2]LOAD3666ARR1(java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1])))≥COND_LOAD3666ARR1(&&(&&(&&(>(i123[1], 0), <(i123[1], i6[1])), >(i500[1], 0)), >(+(i123[1], 1), 0)), java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1])))∧(UIncreasing(COND_LOAD3666ARR1(&&(&&(&&(>(i123[1], 0), <(i123[1], i6[1])), >(i500[1], 0)), >(+(i123[1], 1), 0)), java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1])))), ≥))



    We simplified constraint (139) using rule (IV) which results in the following new constraint:

    (140)    (&&(&&(&&(>(i123[1], 0), <(i123[1], i6[1])), >(i500[1], 0)), >(+(i123[1], 1), 0))=TRUELOAD3666ARR1(java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1])))≥COND_LOAD3666ARR1(&&(&&(&&(>(i123[1], 0), <(i123[1], i6[1])), >(i500[1], 0)), >(+(i123[1], 1), 0)), java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1])))∧(UIncreasing(COND_LOAD3666ARR1(&&(&&(&&(>(i123[1], 0), <(i123[1], i6[1])), >(i500[1], 0)), >(+(i123[1], 1), 0)), java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1])))), ≥))



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

    (141)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD3666ARR1(&&(&&(&&(>(i123[1], 0), <(i123[1], i6[1])), >(i500[1], 0)), >(+(i123[1], 1), 0)), java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1])))), ≥)∧[(-1)bso_107] ≥ 0)



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

    (142)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD3666ARR1(&&(&&(&&(>(i123[1], 0), <(i123[1], i6[1])), >(i500[1], 0)), >(+(i123[1], 1), 0)), java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1])))), ≥)∧[(-1)bso_107] ≥ 0)



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

    (143)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD3666ARR1(&&(&&(&&(>(i123[1], 0), <(i123[1], i6[1])), >(i500[1], 0)), >(+(i123[1], 1), 0)), java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1])))), ≥)∧[(-1)bso_107] ≥ 0)



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

    (144)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD3666ARR1(&&(&&(&&(>(i123[1], 0), <(i123[1], i6[1])), >(i500[1], 0)), >(+(i123[1], 1), 0)), java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1])))), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_107] ≥ 0)







For Pair LOAD3666(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0]) → LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0]))) the following chains were created:
  • We consider the chain STORE5482(java.lang.Object(ARRAY(i6[10], a14630data[10])), i636[10], o8925[10], i1370[10]) → LOAD3666(java.lang.Object(ARRAY(i6[10], a14630data[10])), i636[10], o8925[10], i1370[10]), LOAD3666(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0]) → LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0]))), LOAD3666ARR1(java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1]))) → COND_LOAD3666ARR1(&&(&&(&&(>(i123[1], 0), <(i123[1], i6[1])), >(i500[1], 0)), >(+(i123[1], 1), 0)), java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1]))) which results in the following constraint:

    (145)    (o8925[10]=java.lang.Object(IntList(o5524[0], i503[0]))∧i636[10]=i123[0]i6[10]=i6[0]a14630data[10]=a8555data[0]i1370[10]=i500[0]i500[0]=i500[1]i6[0]=i6[1]a8555data[0]=a8555data[1]i123[0]=i123[1]o5524[0]=o5524[1]i503[0]=i503[1]i801[0]=i801[1]LOAD3666(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0])≥LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))∧(UIncreasing(LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))), ≥))



    We simplified constraint (145) using rules (III), (IV) which results in the following new constraint:

    (146)    (LOAD3666(java.lang.Object(ARRAY(i6[10], a14630data[10])), i636[10], java.lang.Object(IntList(o5524[0], i503[0])), i1370[10])≥LOAD3666ARR1(java.lang.Object(ARRAY(i6[10], a14630data[10])), i636[10], java.lang.Object(IntList(o5524[0], i503[0])), i1370[10], java.lang.Object(java.lang.String(i801[0])))∧(UIncreasing(LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))), ≥))



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

    (147)    ((UIncreasing(LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))), ≥)∧[(-1)bso_108] + [4]i503[0] + [4]o5524[0] ≥ 0)



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

    (148)    ((UIncreasing(LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))), ≥)∧[(-1)bso_108] + [4]i503[0] + [4]o5524[0] ≥ 0)



    We simplified constraint (148) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (149)    ((UIncreasing(LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))), ≥)∧[(-1)bso_108] + [4]i503[0] + [4]o5524[0] ≥ 0)



    We simplified constraint (149) using rules (IDP_UNRESTRICTED_VARS), (IDP_POLY_GCD) which results in the following new constraint:

    (150)    ((UIncreasing(LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_108] ≥ 0∧[1] ≥ 0∧[1] ≥ 0)



  • We consider the chain RETURN5413(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], o8925[11], i1370[11]) → LOAD3666(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], o8925[11], i1370[11]), LOAD3666(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0]) → LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0]))), LOAD3666ARR1(java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1]))) → COND_LOAD3666ARR1(&&(&&(&&(>(i123[1], 0), <(i123[1], i6[1])), >(i500[1], 0)), >(+(i123[1], 1), 0)), java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1]))) which results in the following constraint:

    (151)    (i636[11]=i123[0]i1370[11]=i500[0]i6[11]=i6[0]a14630data[11]=a8555data[0]o8925[11]=java.lang.Object(IntList(o5524[0], i503[0]))∧i500[0]=i500[1]i6[0]=i6[1]a8555data[0]=a8555data[1]i123[0]=i123[1]o5524[0]=o5524[1]i503[0]=i503[1]i801[0]=i801[1]LOAD3666(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0])≥LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))∧(UIncreasing(LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))), ≥))



    We simplified constraint (151) using rules (III), (IV) which results in the following new constraint:

    (152)    (LOAD3666(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], java.lang.Object(IntList(o5524[0], i503[0])), i1370[11])≥LOAD3666ARR1(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], java.lang.Object(IntList(o5524[0], i503[0])), i1370[11], java.lang.Object(java.lang.String(i801[0])))∧(UIncreasing(LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))), ≥))



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

    (153)    ((UIncreasing(LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))), ≥)∧[(-1)bso_108] + [4]i503[0] + [4]o5524[0] ≥ 0)



    We simplified constraint (153) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (154)    ((UIncreasing(LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))), ≥)∧[(-1)bso_108] + [4]i503[0] + [4]o5524[0] ≥ 0)



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

    (155)    ((UIncreasing(LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))), ≥)∧[(-1)bso_108] + [4]i503[0] + [4]o5524[0] ≥ 0)



    We simplified constraint (155) using rules (IDP_UNRESTRICTED_VARS), (IDP_POLY_GCD) which results in the following new constraint:

    (156)    ((UIncreasing(LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_108] ≥ 0∧[1] ≥ 0∧[1] ≥ 0)



  • We consider the chain LOAD5214(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], o8925[12], java.lang.Object(IntList(o9251[12], i1370[12]))) → LOAD3666(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], o8925[12], i1370[12]), LOAD3666(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0]) → LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0]))), LOAD3666ARR1(java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1]))) → COND_LOAD3666ARR1(&&(&&(&&(>(i123[1], 0), <(i123[1], i6[1])), >(i500[1], 0)), >(+(i123[1], 1), 0)), java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1]))) which results in the following constraint:

    (157)    (o8925[12]=java.lang.Object(IntList(o5524[0], i503[0]))∧i636[12]=i123[0]i1370[12]=i500[0]i6[12]=i6[0]a14630data[12]=a8555data[0]i500[0]=i500[1]i6[0]=i6[1]a8555data[0]=a8555data[1]i123[0]=i123[1]o5524[0]=o5524[1]i503[0]=i503[1]i801[0]=i801[1]LOAD3666(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0])≥LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))∧(UIncreasing(LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))), ≥))



    We simplified constraint (157) using rules (III), (IV) which results in the following new constraint:

    (158)    (LOAD3666(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], java.lang.Object(IntList(o5524[0], i503[0])), i1370[12])≥LOAD3666ARR1(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], java.lang.Object(IntList(o5524[0], i503[0])), i1370[12], java.lang.Object(java.lang.String(i801[0])))∧(UIncreasing(LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))), ≥))



    We simplified constraint (158) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (159)    ((UIncreasing(LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))), ≥)∧[(-1)bso_108] + [4]i503[0] + [4]o5524[0] ≥ 0)



    We simplified constraint (159) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (160)    ((UIncreasing(LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))), ≥)∧[(-1)bso_108] + [4]i503[0] + [4]o5524[0] ≥ 0)



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

    (161)    ((UIncreasing(LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))), ≥)∧[(-1)bso_108] + [4]i503[0] + [4]o5524[0] ≥ 0)



    We simplified constraint (161) using rules (IDP_UNRESTRICTED_VARS), (IDP_POLY_GCD) which results in the following new constraint:

    (162)    ((UIncreasing(LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_108] ≥ 0∧[1] ≥ 0∧[1] ≥ 0)



  • We consider the chain COND_LOAD51823(TRUE, java.lang.Object(ARRAY(i6[14], a14630data[14])), i636[14], o8925[14], i1314[14], java.lang.Object(IntList(o9251[14], i1370[14]))) → LOAD3666(java.lang.Object(ARRAY(i6[14], a14630data[14])), i636[14], o8925[14], i1370[14]), LOAD3666(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0]) → LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0]))), LOAD3666ARR1(java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1]))) → COND_LOAD3666ARR1(&&(&&(&&(>(i123[1], 0), <(i123[1], i6[1])), >(i500[1], 0)), >(+(i123[1], 1), 0)), java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1]))) which results in the following constraint:

    (163)    (i1370[14]=i500[0]o8925[14]=java.lang.Object(IntList(o5524[0], i503[0]))∧i636[14]=i123[0]i6[14]=i6[0]a14630data[14]=a8555data[0]i500[0]=i500[1]i6[0]=i6[1]a8555data[0]=a8555data[1]i123[0]=i123[1]o5524[0]=o5524[1]i503[0]=i503[1]i801[0]=i801[1]LOAD3666(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0])≥LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))∧(UIncreasing(LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))), ≥))



    We simplified constraint (163) using rules (III), (IV) which results in the following new constraint:

    (164)    (LOAD3666(java.lang.Object(ARRAY(i6[14], a14630data[14])), i636[14], java.lang.Object(IntList(o5524[0], i503[0])), i1370[14])≥LOAD3666ARR1(java.lang.Object(ARRAY(i6[14], a14630data[14])), i636[14], java.lang.Object(IntList(o5524[0], i503[0])), i1370[14], java.lang.Object(java.lang.String(i801[0])))∧(UIncreasing(LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))), ≥))



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

    (165)    ((UIncreasing(LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))), ≥)∧[(-1)bso_108] + [4]i503[0] + [4]o5524[0] ≥ 0)



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

    (166)    ((UIncreasing(LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))), ≥)∧[(-1)bso_108] + [4]i503[0] + [4]o5524[0] ≥ 0)



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

    (167)    ((UIncreasing(LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))), ≥)∧[(-1)bso_108] + [4]i503[0] + [4]o5524[0] ≥ 0)



    We simplified constraint (167) using rules (IDP_UNRESTRICTED_VARS), (IDP_POLY_GCD) which results in the following new constraint:

    (168)    ((UIncreasing(LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_108] ≥ 0∧[1] ≥ 0∧[1] ≥ 0)







To summarize, we get the following constraints P for the following pairs.
  • COND_LOAD51826(TRUE, java.lang.Object(ARRAY(i6[22], a14630data[22])), i636[22], i1314[22], java.lang.Object(IntList(o9257[22], i1372[22]))) → RETURN5413(java.lang.Object(ARRAY(i6[22], a14630data[22])), i636[22], java.lang.Object(IntList(o9257[22], i1372[22])), i1372[22])
    • (0 ≥ 0 ⇒ (UIncreasing(RETURN5413(java.lang.Object(ARRAY(i6[22], a14630data[22])), i636[22], java.lang.Object(IntList(o9257[22], i1372[22])), i1372[22])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_90] ≥ 0)

  • LOAD5182(java.lang.Object(ARRAY(i6[21], a14630data[21])), i636[21], java.lang.Object(IntList(o9257[21], i1372[21])), i1314[21], java.lang.Object(IntList(o9257[21], i1372[21]))) → COND_LOAD51826(<=(i1314[21], 1), java.lang.Object(ARRAY(i6[21], a14630data[21])), i636[21], i1314[21], java.lang.Object(IntList(o9257[21], i1372[21])))
    • (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD51826(<=(i1314[21], 1), java.lang.Object(ARRAY(i6[21], a14630data[21])), i636[21], i1314[21], java.lang.Object(IntList(o9257[21], i1372[21])))), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_91] ≥ 0∧[1] ≥ 0∧[1] ≥ 0)

  • JMP5555'(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3]) → LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])
    • ((UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_92] ≥ 0)
    • ((UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_92] ≥ 0)
    • ((UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_92] ≥ 0)
    • ((UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_92] ≥ 0)
    • ((UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_92] ≥ 0)

  • COND_LOAD51824(TRUE, java.lang.Object(ARRAY(i6[16], a14630data[16])), i636[16], i1315[16], java.lang.Object(IntList(o9408[16], i1398[16]))) → JMP5555'(java.lang.Object(ARRAY(i6[16], a14630data[16])), i636[16], java.lang.Object(IntList(o9408[16], i1398[16])), +(i1315[16], -1), o9408[16])
    • (0 ≥ 0 ⇒ (UIncreasing(JMP5555'(java.lang.Object(ARRAY(i6[16], a14630data[16])), i636[16], java.lang.Object(IntList(o9408[16], i1398[16])), +(i1315[16], -1), o9408[16])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_93] ≥ 0∧[1] ≥ 0∧[1] ≥ 0)

  • LOAD5182(java.lang.Object(ARRAY(i6[15], a14630data[15])), i636[15], java.lang.Object(IntList(o9408[15], i1398[15])), i1315[15], java.lang.Object(IntList(o9408[15], i1398[15]))) → COND_LOAD51824(>(i1315[15], 1), java.lang.Object(ARRAY(i6[15], a14630data[15])), i636[15], i1315[15], java.lang.Object(IntList(o9408[15], i1398[15])))
    • (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD51824(>(i1315[15], 1), java.lang.Object(ARRAY(i6[15], a14630data[15])), i636[15], i1315[15], java.lang.Object(IntList(o9408[15], i1398[15])))), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_94] ≥ 0∧[1] ≥ 0∧[1] ≥ 0)

  • COND_LOAD51823(TRUE, java.lang.Object(ARRAY(i6[14], a14630data[14])), i636[14], o8925[14], i1314[14], java.lang.Object(IntList(o9251[14], i1370[14]))) → LOAD3666(java.lang.Object(ARRAY(i6[14], a14630data[14])), i636[14], o8925[14], i1370[14])
    • (0 ≥ 0 ⇒ (UIncreasing(LOAD3666(java.lang.Object(ARRAY(i6[14], a14630data[14])), i636[14], o8925[14], i1370[14])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_95] ≥ 0)

  • LOAD5182(java.lang.Object(ARRAY(i6[13], a14630data[13])), i636[13], o8925[13], i1314[13], java.lang.Object(IntList(o9251[13], i1370[13]))) → COND_LOAD51823(<=(i1314[13], 1), java.lang.Object(ARRAY(i6[13], a14630data[13])), i636[13], o8925[13], i1314[13], java.lang.Object(IntList(o9251[13], i1370[13])))
    • (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD51823(<=(i1314[13], 1), java.lang.Object(ARRAY(i6[13], a14630data[13])), i636[13], o8925[13], i1314[13], java.lang.Object(IntList(o9251[13], i1370[13])))), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_96] ≥ 0∧[1] ≥ 0∧[1] ≥ 0)

  • RETURN5413(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], o8925[11], i1370[11]) → LOAD3666(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], o8925[11], i1370[11])
    • ((UIncreasing(LOAD3666(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], o8925[11], i1370[11])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_97] ≥ 0)

  • LOAD5214(java.lang.Object(ARRAY(i6[20], a14630data[20])), i636[20], java.lang.Object(IntList(o9257[20], i1372[20])), java.lang.Object(IntList(o9257[20], i1372[20]))) → RETURN5413(java.lang.Object(ARRAY(i6[20], a14630data[20])), i636[20], java.lang.Object(IntList(o9257[20], i1372[20])), i1372[20])
    • ((UIncreasing(RETURN5413(java.lang.Object(ARRAY(i6[20], a14630data[20])), i636[20], java.lang.Object(IntList(o9257[20], i1372[20])), i1372[20])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_98] ≥ 0∧[1] ≥ 0∧[1] ≥ 0)

  • STORE5482(java.lang.Object(ARRAY(i6[10], a14630data[10])), i636[10], o8925[10], i1370[10]) → LOAD3666(java.lang.Object(ARRAY(i6[10], a14630data[10])), i636[10], o8925[10], i1370[10])
    • ((UIncreasing(LOAD3666(java.lang.Object(ARRAY(i6[10], a14630data[10])), i636[10], o8925[10], i1370[10])), ≥)∧[1] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_99] ≥ 0)

  • LOAD5214(java.lang.Object(ARRAY(i6[17], a14630data[17])), i636[17], o8925[17], NULL) → STORE5482(java.lang.Object(ARRAY(i6[17], a14630data[17])), i636[17], o8925[17], 0)
    • ((UIncreasing(STORE5482(java.lang.Object(ARRAY(i6[17], a14630data[17])), i636[17], o8925[17], 0)), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[4 + (-1)bso_100] ≥ 0)

  • LOAD5214(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], o8925[12], java.lang.Object(IntList(o9251[12], i1370[12]))) → LOAD3666(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], o8925[12], i1370[12])
    • ((UIncreasing(LOAD3666(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], o8925[12], i1370[12])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_101] ≥ 0∧[1] ≥ 0∧[1] ≥ 0)

  • COND_LOAD51821(TRUE, java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], i1315[7], o8924[7]) → LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7])
    • ((UIncreasing(LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_102] ≥ 0)
    • ((UIncreasing(LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_102] ≥ 0)
    • ((UIncreasing(LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_102] ≥ 0)

  • LOAD5182(java.lang.Object(ARRAY(i6[6], a14630data[6])), i636[6], o8925[6], i1315[6], o8924[6]) → COND_LOAD51821(&&(>(i1315[6], 0), <=(i1315[6], 1)), java.lang.Object(ARRAY(i6[6], a14630data[6])), i636[6], o8925[6], i1315[6], o8924[6])
    • (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD51821(&&(>(i1315[6], 0), <=(i1315[6], 1)), java.lang.Object(ARRAY(i6[6], a14630data[6])), i636[6], o8925[6], i1315[6], o8924[6])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_103] ≥ 0)

  • COND_LOAD5182(TRUE, java.lang.Object(ARRAY(i6[5], a14630data[5])), i636[5], o8925[5], i1315[5], java.lang.Object(IntList(o9395[5], i1395[5]))) → LOAD5182(java.lang.Object(ARRAY(i6[5], a14630data[5])), i636[5], o8925[5], +(i1315[5], -1), o9395[5])
    • (0 ≥ 0 ⇒ (UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[5], a14630data[5])), i636[5], o8925[5], +(i1315[5], -1), o9395[5])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_104] ≥ 0∧[1] ≥ 0∧[1] ≥ 0)

  • LOAD5182(java.lang.Object(ARRAY(i6[4], a14630data[4])), i636[4], o8925[4], i1315[4], java.lang.Object(IntList(o9395[4], i1395[4]))) → COND_LOAD5182(>(i1315[4], 1), java.lang.Object(ARRAY(i6[4], a14630data[4])), i636[4], o8925[4], i1315[4], java.lang.Object(IntList(o9395[4], i1395[4])))
    • (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD5182(>(i1315[4], 1), java.lang.Object(ARRAY(i6[4], a14630data[4])), i636[4], o8925[4], i1315[4], java.lang.Object(IntList(o9395[4], i1395[4])))), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_105] ≥ 0)

  • COND_LOAD3666ARR1(TRUE, java.lang.Object(ARRAY(i6[2], a8555data[2])), i123[2], java.lang.Object(IntList(o5524[2], i503[2])), i500[2], java.lang.Object(java.lang.String(i801[2]))) → LOAD5182(java.lang.Object(ARRAY(i6[2], a8555data[2])), +(i123[2], 1), o5524[2], i801[2], o5524[2])
    • (0 ≥ 0 ⇒ (UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[2], a8555data[2])), +(i123[2], 1), o5524[2], i801[2], o5524[2])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_106] ≥ 0∧[1] ≥ 0)

  • LOAD3666ARR1(java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1]))) → COND_LOAD3666ARR1(&&(&&(&&(>(i123[1], 0), <(i123[1], i6[1])), >(i500[1], 0)), >(+(i123[1], 1), 0)), java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1])))
    • (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD3666ARR1(&&(&&(&&(>(i123[1], 0), <(i123[1], i6[1])), >(i500[1], 0)), >(+(i123[1], 1), 0)), java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1])))), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_107] ≥ 0)

  • LOAD3666(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0]) → LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))
    • ((UIncreasing(LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_108] ≥ 0∧[1] ≥ 0∧[1] ≥ 0)
    • ((UIncreasing(LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_108] ≥ 0∧[1] ≥ 0∧[1] ≥ 0)
    • ((UIncreasing(LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_108] ≥ 0∧[1] ≥ 0∧[1] ≥ 0)
    • ((UIncreasing(LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_108] ≥ 0∧[1] ≥ 0∧[1] ≥ 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 with natural coefficients for all symbols [NONINF][POLO]:

POL(TRUE) = 0   
POL(FALSE) = 0   
POL(COND_LOAD51826(x1, x2, x3, x4, x5)) = [2]x5   
POL(java.lang.Object(x1)) = [2]x1   
POL(ARRAY(x1, x2)) = 0   
POL(IntList(x1, x2)) = [2]x2 + [2]x1   
POL(RETURN5413(x1, x2, x3, x4)) = [2]x3   
POL(LOAD5182(x1, x2, x3, x4, x5)) = [2]x5 + [2]x3   
POL(<=(x1, x2)) = 0   
POL(1) = 0   
POL(JMP5555'(x1, x2, x3, x4, x5)) = [2]x5 + [2]x3   
POL(COND_LOAD51824(x1, x2, x3, x4, x5)) = [3]x5   
POL(+(x1, x2)) = 0   
POL(-1) = 0   
POL(>(x1, x2)) = 0   
POL(COND_LOAD51823(x1, x2, x3, x4, x5, x6)) = [2]x4   
POL(LOAD3666(x1, x2, x3, x4)) = [2]x3   
POL(LOAD5214(x1, x2, x3, x4)) = [2]x4 + [2]x3   
POL(STORE5482(x1, x2, x3, x4)) = x4 + [2]x3   
POL(NULL) = [2]   
POL(0) = 0   
POL(COND_LOAD51821(x1, x2, x3, x4, x5, x6)) = [2]x6 + [2]x4   
POL(&&(x1, x2)) = 0   
POL(COND_LOAD5182(x1, x2, x3, x4, x5, x6)) = [2]x6 + [2]x4   
POL(COND_LOAD3666ARR1(x1, x2, x3, x4, x5, x6)) = x4 + [3]x1   
POL(java.lang.String(x1)) = 0   
POL(LOAD3666ARR1(x1, x2, x3, x4, x5)) = x3   
POL(<(x1, x2)) = 0   

The following pairs are in P>:

LOAD5214(java.lang.Object(ARRAY(i6[17], a14630data[17])), i636[17], o8925[17], NULL) → STORE5482(java.lang.Object(ARRAY(i6[17], a14630data[17])), i636[17], o8925[17], 0)

The following pairs are in Pbound:

COND_LOAD51826(TRUE, java.lang.Object(ARRAY(i6[22], a14630data[22])), i636[22], i1314[22], java.lang.Object(IntList(o9257[22], i1372[22]))) → RETURN5413(java.lang.Object(ARRAY(i6[22], a14630data[22])), i636[22], java.lang.Object(IntList(o9257[22], i1372[22])), i1372[22])
LOAD5182(java.lang.Object(ARRAY(i6[21], a14630data[21])), i636[21], java.lang.Object(IntList(o9257[21], i1372[21])), i1314[21], java.lang.Object(IntList(o9257[21], i1372[21]))) → COND_LOAD51826(<=(i1314[21], 1), java.lang.Object(ARRAY(i6[21], a14630data[21])), i636[21], i1314[21], java.lang.Object(IntList(o9257[21], i1372[21])))
JMP5555'(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3]) → LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])
COND_LOAD51824(TRUE, java.lang.Object(ARRAY(i6[16], a14630data[16])), i636[16], i1315[16], java.lang.Object(IntList(o9408[16], i1398[16]))) → JMP5555'(java.lang.Object(ARRAY(i6[16], a14630data[16])), i636[16], java.lang.Object(IntList(o9408[16], i1398[16])), +(i1315[16], -1), o9408[16])
LOAD5182(java.lang.Object(ARRAY(i6[15], a14630data[15])), i636[15], java.lang.Object(IntList(o9408[15], i1398[15])), i1315[15], java.lang.Object(IntList(o9408[15], i1398[15]))) → COND_LOAD51824(>(i1315[15], 1), java.lang.Object(ARRAY(i6[15], a14630data[15])), i636[15], i1315[15], java.lang.Object(IntList(o9408[15], i1398[15])))
COND_LOAD51823(TRUE, java.lang.Object(ARRAY(i6[14], a14630data[14])), i636[14], o8925[14], i1314[14], java.lang.Object(IntList(o9251[14], i1370[14]))) → LOAD3666(java.lang.Object(ARRAY(i6[14], a14630data[14])), i636[14], o8925[14], i1370[14])
LOAD5182(java.lang.Object(ARRAY(i6[13], a14630data[13])), i636[13], o8925[13], i1314[13], java.lang.Object(IntList(o9251[13], i1370[13]))) → COND_LOAD51823(<=(i1314[13], 1), java.lang.Object(ARRAY(i6[13], a14630data[13])), i636[13], o8925[13], i1314[13], java.lang.Object(IntList(o9251[13], i1370[13])))
RETURN5413(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], o8925[11], i1370[11]) → LOAD3666(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], o8925[11], i1370[11])
LOAD5214(java.lang.Object(ARRAY(i6[20], a14630data[20])), i636[20], java.lang.Object(IntList(o9257[20], i1372[20])), java.lang.Object(IntList(o9257[20], i1372[20]))) → RETURN5413(java.lang.Object(ARRAY(i6[20], a14630data[20])), i636[20], java.lang.Object(IntList(o9257[20], i1372[20])), i1372[20])
STORE5482(java.lang.Object(ARRAY(i6[10], a14630data[10])), i636[10], o8925[10], i1370[10]) → LOAD3666(java.lang.Object(ARRAY(i6[10], a14630data[10])), i636[10], o8925[10], i1370[10])
LOAD5214(java.lang.Object(ARRAY(i6[17], a14630data[17])), i636[17], o8925[17], NULL) → STORE5482(java.lang.Object(ARRAY(i6[17], a14630data[17])), i636[17], o8925[17], 0)
LOAD5214(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], o8925[12], java.lang.Object(IntList(o9251[12], i1370[12]))) → LOAD3666(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], o8925[12], i1370[12])
COND_LOAD51821(TRUE, java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], i1315[7], o8924[7]) → LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7])
LOAD5182(java.lang.Object(ARRAY(i6[6], a14630data[6])), i636[6], o8925[6], i1315[6], o8924[6]) → COND_LOAD51821(&&(>(i1315[6], 0), <=(i1315[6], 1)), java.lang.Object(ARRAY(i6[6], a14630data[6])), i636[6], o8925[6], i1315[6], o8924[6])
COND_LOAD5182(TRUE, java.lang.Object(ARRAY(i6[5], a14630data[5])), i636[5], o8925[5], i1315[5], java.lang.Object(IntList(o9395[5], i1395[5]))) → LOAD5182(java.lang.Object(ARRAY(i6[5], a14630data[5])), i636[5], o8925[5], +(i1315[5], -1), o9395[5])
LOAD5182(java.lang.Object(ARRAY(i6[4], a14630data[4])), i636[4], o8925[4], i1315[4], java.lang.Object(IntList(o9395[4], i1395[4]))) → COND_LOAD5182(>(i1315[4], 1), java.lang.Object(ARRAY(i6[4], a14630data[4])), i636[4], o8925[4], i1315[4], java.lang.Object(IntList(o9395[4], i1395[4])))
COND_LOAD3666ARR1(TRUE, java.lang.Object(ARRAY(i6[2], a8555data[2])), i123[2], java.lang.Object(IntList(o5524[2], i503[2])), i500[2], java.lang.Object(java.lang.String(i801[2]))) → LOAD5182(java.lang.Object(ARRAY(i6[2], a8555data[2])), +(i123[2], 1), o5524[2], i801[2], o5524[2])
LOAD3666ARR1(java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1]))) → COND_LOAD3666ARR1(&&(&&(&&(>(i123[1], 0), <(i123[1], i6[1])), >(i500[1], 0)), >(+(i123[1], 1), 0)), java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1])))
LOAD3666(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0]) → LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))

The following pairs are in P:

COND_LOAD51826(TRUE, java.lang.Object(ARRAY(i6[22], a14630data[22])), i636[22], i1314[22], java.lang.Object(IntList(o9257[22], i1372[22]))) → RETURN5413(java.lang.Object(ARRAY(i6[22], a14630data[22])), i636[22], java.lang.Object(IntList(o9257[22], i1372[22])), i1372[22])
LOAD5182(java.lang.Object(ARRAY(i6[21], a14630data[21])), i636[21], java.lang.Object(IntList(o9257[21], i1372[21])), i1314[21], java.lang.Object(IntList(o9257[21], i1372[21]))) → COND_LOAD51826(<=(i1314[21], 1), java.lang.Object(ARRAY(i6[21], a14630data[21])), i636[21], i1314[21], java.lang.Object(IntList(o9257[21], i1372[21])))
JMP5555'(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3]) → LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])
COND_LOAD51824(TRUE, java.lang.Object(ARRAY(i6[16], a14630data[16])), i636[16], i1315[16], java.lang.Object(IntList(o9408[16], i1398[16]))) → JMP5555'(java.lang.Object(ARRAY(i6[16], a14630data[16])), i636[16], java.lang.Object(IntList(o9408[16], i1398[16])), +(i1315[16], -1), o9408[16])
LOAD5182(java.lang.Object(ARRAY(i6[15], a14630data[15])), i636[15], java.lang.Object(IntList(o9408[15], i1398[15])), i1315[15], java.lang.Object(IntList(o9408[15], i1398[15]))) → COND_LOAD51824(>(i1315[15], 1), java.lang.Object(ARRAY(i6[15], a14630data[15])), i636[15], i1315[15], java.lang.Object(IntList(o9408[15], i1398[15])))
COND_LOAD51823(TRUE, java.lang.Object(ARRAY(i6[14], a14630data[14])), i636[14], o8925[14], i1314[14], java.lang.Object(IntList(o9251[14], i1370[14]))) → LOAD3666(java.lang.Object(ARRAY(i6[14], a14630data[14])), i636[14], o8925[14], i1370[14])
LOAD5182(java.lang.Object(ARRAY(i6[13], a14630data[13])), i636[13], o8925[13], i1314[13], java.lang.Object(IntList(o9251[13], i1370[13]))) → COND_LOAD51823(<=(i1314[13], 1), java.lang.Object(ARRAY(i6[13], a14630data[13])), i636[13], o8925[13], i1314[13], java.lang.Object(IntList(o9251[13], i1370[13])))
RETURN5413(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], o8925[11], i1370[11]) → LOAD3666(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], o8925[11], i1370[11])
LOAD5214(java.lang.Object(ARRAY(i6[20], a14630data[20])), i636[20], java.lang.Object(IntList(o9257[20], i1372[20])), java.lang.Object(IntList(o9257[20], i1372[20]))) → RETURN5413(java.lang.Object(ARRAY(i6[20], a14630data[20])), i636[20], java.lang.Object(IntList(o9257[20], i1372[20])), i1372[20])
STORE5482(java.lang.Object(ARRAY(i6[10], a14630data[10])), i636[10], o8925[10], i1370[10]) → LOAD3666(java.lang.Object(ARRAY(i6[10], a14630data[10])), i636[10], o8925[10], i1370[10])
LOAD5214(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], o8925[12], java.lang.Object(IntList(o9251[12], i1370[12]))) → LOAD3666(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], o8925[12], i1370[12])
COND_LOAD51821(TRUE, java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], i1315[7], o8924[7]) → LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7])
LOAD5182(java.lang.Object(ARRAY(i6[6], a14630data[6])), i636[6], o8925[6], i1315[6], o8924[6]) → COND_LOAD51821(&&(>(i1315[6], 0), <=(i1315[6], 1)), java.lang.Object(ARRAY(i6[6], a14630data[6])), i636[6], o8925[6], i1315[6], o8924[6])
COND_LOAD5182(TRUE, java.lang.Object(ARRAY(i6[5], a14630data[5])), i636[5], o8925[5], i1315[5], java.lang.Object(IntList(o9395[5], i1395[5]))) → LOAD5182(java.lang.Object(ARRAY(i6[5], a14630data[5])), i636[5], o8925[5], +(i1315[5], -1), o9395[5])
LOAD5182(java.lang.Object(ARRAY(i6[4], a14630data[4])), i636[4], o8925[4], i1315[4], java.lang.Object(IntList(o9395[4], i1395[4]))) → COND_LOAD5182(>(i1315[4], 1), java.lang.Object(ARRAY(i6[4], a14630data[4])), i636[4], o8925[4], i1315[4], java.lang.Object(IntList(o9395[4], i1395[4])))
COND_LOAD3666ARR1(TRUE, java.lang.Object(ARRAY(i6[2], a8555data[2])), i123[2], java.lang.Object(IntList(o5524[2], i503[2])), i500[2], java.lang.Object(java.lang.String(i801[2]))) → LOAD5182(java.lang.Object(ARRAY(i6[2], a8555data[2])), +(i123[2], 1), o5524[2], i801[2], o5524[2])
LOAD3666ARR1(java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1]))) → COND_LOAD3666ARR1(&&(&&(&&(>(i123[1], 0), <(i123[1], i6[1])), >(i500[1], 0)), >(+(i123[1], 1), 0)), java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1])))
LOAD3666(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0]) → LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))

At least the following rules have been oriented under context sensitive arithmetic replacement:

&&(TRUE, TRUE)1TRUE1
&&(TRUE, FALSE)1FALSE1
&&(FALSE, TRUE)1FALSE1
&&(FALSE, FALSE)1FALSE1

(22) Complex Obligation (AND)

(23) 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:
(22): COND_LOAD51826(TRUE, java.lang.Object(ARRAY(i6[22], a14630data[22])), i636[22], i1314[22], java.lang.Object(IntList(o9257[22], i1372[22]))) → RETURN5413(java.lang.Object(ARRAY(i6[22], a14630data[22])), i636[22], java.lang.Object(IntList(o9257[22], i1372[22])), i1372[22])
(21): LOAD5182(java.lang.Object(ARRAY(i6[21], a14630data[21])), i636[21], java.lang.Object(IntList(o9257[21], i1372[21])), i1314[21], java.lang.Object(IntList(o9257[21], i1372[21]))) → COND_LOAD51826(i1314[21] <= 1, java.lang.Object(ARRAY(i6[21], a14630data[21])), i636[21], i1314[21], java.lang.Object(IntList(o9257[21], i1372[21])))
(3): JMP5555'(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3]) → LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])
(16): COND_LOAD51824(TRUE, java.lang.Object(ARRAY(i6[16], a14630data[16])), i636[16], i1315[16], java.lang.Object(IntList(o9408[16], i1398[16]))) → JMP5555'(java.lang.Object(ARRAY(i6[16], a14630data[16])), i636[16], java.lang.Object(IntList(o9408[16], i1398[16])), i1315[16] + -1, o9408[16])
(15): LOAD5182(java.lang.Object(ARRAY(i6[15], a14630data[15])), i636[15], java.lang.Object(IntList(o9408[15], i1398[15])), i1315[15], java.lang.Object(IntList(o9408[15], i1398[15]))) → COND_LOAD51824(i1315[15] > 1, java.lang.Object(ARRAY(i6[15], a14630data[15])), i636[15], i1315[15], java.lang.Object(IntList(o9408[15], i1398[15])))
(14): COND_LOAD51823(TRUE, java.lang.Object(ARRAY(i6[14], a14630data[14])), i636[14], o8925[14], i1314[14], java.lang.Object(IntList(o9251[14], i1370[14]))) → LOAD3666(java.lang.Object(ARRAY(i6[14], a14630data[14])), i636[14], o8925[14], i1370[14])
(13): LOAD5182(java.lang.Object(ARRAY(i6[13], a14630data[13])), i636[13], o8925[13], i1314[13], java.lang.Object(IntList(o9251[13], i1370[13]))) → COND_LOAD51823(i1314[13] <= 1, java.lang.Object(ARRAY(i6[13], a14630data[13])), i636[13], o8925[13], i1314[13], java.lang.Object(IntList(o9251[13], i1370[13])))
(11): RETURN5413(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], o8925[11], i1370[11]) → LOAD3666(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], o8925[11], i1370[11])
(20): LOAD5214(java.lang.Object(ARRAY(i6[20], a14630data[20])), i636[20], java.lang.Object(IntList(o9257[20], i1372[20])), java.lang.Object(IntList(o9257[20], i1372[20]))) → RETURN5413(java.lang.Object(ARRAY(i6[20], a14630data[20])), i636[20], java.lang.Object(IntList(o9257[20], i1372[20])), i1372[20])
(10): STORE5482(java.lang.Object(ARRAY(i6[10], a14630data[10])), i636[10], o8925[10], i1370[10]) → LOAD3666(java.lang.Object(ARRAY(i6[10], a14630data[10])), i636[10], o8925[10], i1370[10])
(12): LOAD5214(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], o8925[12], java.lang.Object(IntList(o9251[12], i1370[12]))) → LOAD3666(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], o8925[12], i1370[12])
(7): COND_LOAD51821(TRUE, java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], i1315[7], o8924[7]) → LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7])
(6): LOAD5182(java.lang.Object(ARRAY(i6[6], a14630data[6])), i636[6], o8925[6], i1315[6], o8924[6]) → COND_LOAD51821(i1315[6] > 0 && i1315[6] <= 1, java.lang.Object(ARRAY(i6[6], a14630data[6])), i636[6], o8925[6], i1315[6], o8924[6])
(5): COND_LOAD5182(TRUE, java.lang.Object(ARRAY(i6[5], a14630data[5])), i636[5], o8925[5], i1315[5], java.lang.Object(IntList(o9395[5], i1395[5]))) → LOAD5182(java.lang.Object(ARRAY(i6[5], a14630data[5])), i636[5], o8925[5], i1315[5] + -1, o9395[5])
(4): LOAD5182(java.lang.Object(ARRAY(i6[4], a14630data[4])), i636[4], o8925[4], i1315[4], java.lang.Object(IntList(o9395[4], i1395[4]))) → COND_LOAD5182(i1315[4] > 1, java.lang.Object(ARRAY(i6[4], a14630data[4])), i636[4], o8925[4], i1315[4], java.lang.Object(IntList(o9395[4], i1395[4])))
(2): COND_LOAD3666ARR1(TRUE, java.lang.Object(ARRAY(i6[2], a8555data[2])), i123[2], java.lang.Object(IntList(o5524[2], i503[2])), i500[2], java.lang.Object(java.lang.String(i801[2]))) → LOAD5182(java.lang.Object(ARRAY(i6[2], a8555data[2])), i123[2] + 1, o5524[2], i801[2], o5524[2])
(1): LOAD3666ARR1(java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1]))) → COND_LOAD3666ARR1(i123[1] > 0 && i123[1] < i6[1] && i500[1] > 0 && i123[1] + 1 > 0, java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1])))
(0): LOAD3666(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0]) → LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))

(10) -> (0), if ((o8925[10]* java.lang.Object(IntList(o5524[0], i503[0])))∧(i636[10]* i123[0])∧((i6[10]* i6[0])∧(a14630data[10]* a8555data[0]))∧(i1370[10]* i500[0]))


(11) -> (0), if ((i636[11]* i123[0])∧(i1370[11]* i500[0])∧((i6[11]* i6[0])∧(a14630data[11]* a8555data[0]))∧(o8925[11]* java.lang.Object(IntList(o5524[0], i503[0]))))


(12) -> (0), if ((o8925[12]* java.lang.Object(IntList(o5524[0], i503[0])))∧(i636[12]* i123[0])∧(i1370[12]* i500[0])∧((i6[12]* i6[0])∧(a14630data[12]* a8555data[0])))


(14) -> (0), if ((i1370[14]* i500[0])∧(o8925[14]* java.lang.Object(IntList(o5524[0], i503[0])))∧(i636[14]* i123[0])∧((i6[14]* i6[0])∧(a14630data[14]* a8555data[0])))


(0) -> (1), if ((i500[0]* i500[1])∧((i6[0]* i6[1])∧(a8555data[0]* a8555data[1]))∧(i123[0]* i123[1])∧((o5524[0]* o5524[1])∧(i503[0]* i503[1]))∧((i801[0]* i801[1])))


(1) -> (2), if (((i801[1]* i801[2]))∧(i123[1] > 0 && i123[1] < i6[1] && i500[1] > 0 && i123[1] + 1 > 0* TRUE)∧((i6[1]* i6[2])∧(a8555data[1]* a8555data[2]))∧(i123[1]* i123[2])∧(i500[1]* i500[2])∧((o5524[1]* o5524[2])∧(i503[1]* i503[2])))


(16) -> (3), if ((i1315[16] + -1* i1365[3])∧(java.lang.Object(IntList(o9408[16], i1398[16])) →* o8925[3])∧(o9408[16]* o9395[3])∧((i6[16]* i6[3])∧(a14630data[16]* a14630data[3]))∧(i636[16]* i636[3]))


(2) -> (4), if ((i801[2]* i1315[4])∧(o5524[2]* java.lang.Object(IntList(o9395[4], i1395[4])))∧(i123[2] + 1* i636[4])∧((i6[2]* i6[4])∧(a8555data[2]* a14630data[4]))∧(o5524[2]* o8925[4]))


(3) -> (4), if ((o8925[3]* o8925[4])∧(o9395[3]* java.lang.Object(IntList(o9395[4], i1395[4])))∧((i6[3]* i6[4])∧(a14630data[3]* a14630data[4]))∧(i636[3]* i636[4])∧(i1365[3]* i1315[4]))


(5) -> (4), if (((i6[5]* i6[4])∧(a14630data[5]* a14630data[4]))∧(i1315[5] + -1* i1315[4])∧(o9395[5]* java.lang.Object(IntList(o9395[4], i1395[4])))∧(o8925[5]* o8925[4])∧(i636[5]* i636[4]))


(4) -> (5), if ((i1315[4] > 1* TRUE)∧((o9395[4]* o9395[5])∧(i1395[4]* i1395[5]))∧(o8925[4]* o8925[5])∧(i1315[4]* i1315[5])∧(i636[4]* i636[5])∧((i6[4]* i6[5])∧(a14630data[4]* a14630data[5])))


(2) -> (6), if ((o5524[2]* o8924[6])∧((i6[2]* i6[6])∧(a8555data[2]* a14630data[6]))∧(o5524[2]* o8925[6])∧(i801[2]* i1315[6])∧(i123[2] + 1* i636[6]))


(3) -> (6), if ((o9395[3]* o8924[6])∧(o8925[3]* o8925[6])∧(i636[3]* i636[6])∧((i6[3]* i6[6])∧(a14630data[3]* a14630data[6]))∧(i1365[3]* i1315[6]))


(5) -> (6), if ((i1315[5] + -1* i1315[6])∧((i6[5]* i6[6])∧(a14630data[5]* a14630data[6]))∧(o8925[5]* o8925[6])∧(o9395[5]* o8924[6])∧(i636[5]* i636[6]))


(6) -> (7), if ((i1315[6] > 0 && i1315[6] <= 1* TRUE)∧(i1315[6]* i1315[7])∧(o8925[6]* o8925[7])∧((i6[6]* i6[7])∧(a14630data[6]* a14630data[7]))∧(o8924[6]* o8924[7])∧(i636[6]* i636[7]))


(20) -> (11), if (((i6[20]* i6[11])∧(a14630data[20]* a14630data[11]))∧(i1372[20]* i1370[11])∧(java.lang.Object(IntList(o9257[20], i1372[20])) →* o8925[11])∧(i636[20]* i636[11]))


(22) -> (11), if ((i1372[22]* i1370[11])∧(i636[22]* i636[11])∧(java.lang.Object(IntList(o9257[22], i1372[22])) →* o8925[11])∧((i6[22]* i6[11])∧(a14630data[22]* a14630data[11])))


(7) -> (12), if ((o8924[7]* java.lang.Object(IntList(o9251[12], i1370[12])))∧((i6[7]* i6[12])∧(a14630data[7]* a14630data[12]))∧(o8925[7]* o8925[12])∧(i636[7]* i636[12]))


(2) -> (13), if ((o5524[2]* java.lang.Object(IntList(o9251[13], i1370[13])))∧(i801[2]* i1314[13])∧(o5524[2]* o8925[13])∧((i6[2]* i6[13])∧(a8555data[2]* a14630data[13]))∧(i123[2] + 1* i636[13]))


(3) -> (13), if (((i6[3]* i6[13])∧(a14630data[3]* a14630data[13]))∧(i636[3]* i636[13])∧(o8925[3]* o8925[13])∧(i1365[3]* i1314[13])∧(o9395[3]* java.lang.Object(IntList(o9251[13], i1370[13]))))


(5) -> (13), if ((i1315[5] + -1* i1314[13])∧(o9395[5]* java.lang.Object(IntList(o9251[13], i1370[13])))∧(o8925[5]* o8925[13])∧((i6[5]* i6[13])∧(a14630data[5]* a14630data[13]))∧(i636[5]* i636[13]))


(13) -> (14), if ((i1314[13]* i1314[14])∧((i6[13]* i6[14])∧(a14630data[13]* a14630data[14]))∧(o8925[13]* o8925[14])∧(i1314[13] <= 1* TRUE)∧(i636[13]* i636[14])∧((o9251[13]* o9251[14])∧(i1370[13]* i1370[14])))


(2) -> (15), if ((i123[2] + 1* i636[15])∧((i6[2]* i6[15])∧(a8555data[2]* a14630data[15]))∧(i801[2]* i1315[15])∧(o5524[2]* java.lang.Object(IntList(o9408[15], i1398[15]))))


(3) -> (15), if ((i636[3]* i636[15])∧((i6[3]* i6[15])∧(a14630data[3]* a14630data[15]))∧(o8925[3]* java.lang.Object(IntList(o9408[15], i1398[15])))∧(o9395[3]* java.lang.Object(IntList(o9408[15], i1398[15])))∧(i1365[3]* i1315[15]))


(5) -> (15), if (((i6[5]* i6[15])∧(a14630data[5]* a14630data[15]))∧(o9395[5]* java.lang.Object(IntList(o9408[15], i1398[15])))∧(o8925[5]* java.lang.Object(IntList(o9408[15], i1398[15])))∧(i636[5]* i636[15])∧(i1315[5] + -1* i1315[15]))


(15) -> (16), if (((o9408[15]* o9408[16])∧(i1398[15]* i1398[16]))∧((i6[15]* i6[16])∧(a14630data[15]* a14630data[16]))∧(i636[15]* i636[16])∧(i1315[15]* i1315[16])∧(i1315[15] > 1* TRUE))


(7) -> (20), if ((o8924[7]* java.lang.Object(IntList(o9257[20], i1372[20])))∧(o8925[7]* java.lang.Object(IntList(o9257[20], i1372[20])))∧(i636[7]* i636[20])∧((i6[7]* i6[20])∧(a14630data[7]* a14630data[20])))


(2) -> (21), if ((i801[2]* i1314[21])∧((i6[2]* i6[21])∧(a8555data[2]* a14630data[21]))∧(o5524[2]* java.lang.Object(IntList(o9257[21], i1372[21])))∧(i123[2] + 1* i636[21]))


(3) -> (21), if ((i1365[3]* i1314[21])∧(i636[3]* i636[21])∧(o9395[3]* java.lang.Object(IntList(o9257[21], i1372[21])))∧(o8925[3]* java.lang.Object(IntList(o9257[21], i1372[21])))∧((i6[3]* i6[21])∧(a14630data[3]* a14630data[21])))


(5) -> (21), if (((i6[5]* i6[21])∧(a14630data[5]* a14630data[21]))∧(o9395[5]* java.lang.Object(IntList(o9257[21], i1372[21])))∧(i636[5]* i636[21])∧(o8925[5]* java.lang.Object(IntList(o9257[21], i1372[21])))∧(i1315[5] + -1* i1314[21]))


(21) -> (22), if (((o9257[21]* o9257[22])∧(i1372[21]* i1372[22]))∧(i1314[21]* i1314[22])∧((i6[21]* i6[22])∧(a14630data[21]* a14630data[22]))∧(i636[21]* i636[22])∧(i1314[21] <= 1* TRUE))



The set Q consists of the following terms:
Load3666(java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(IntList(x3, x4)), x5)
Load3666ARR1(java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(IntList(x3, x4)), x5, java.lang.Object(java.lang.String(x6)))
Cond_Load3666ARR1(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(IntList(x3, x4)), x5, java.lang.Object(java.lang.String(x6)))
JMP5555(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, x5)
Cond_Load5182(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(IntList(x5, x6)))
Load5182(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, x5)
Cond_Load51821(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, x5)
Cond_Load51822(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4)
Store5482(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4)
Return5413(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4)
Load5214(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(IntList(x4, x5)))
Cond_Load51823(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(IntList(x5, x6)))
Cond_Load51824(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(IntList(x4, x5)))
Load5214(java.lang.Object(ARRAY(x0, x1)), x2, x3, NULL)
Cond_Load51825(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4)
Cond_Load51826(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(IntList(x4, x5)))

(24) IDependencyGraphProof (EQUIVALENT transformation)

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

(25) 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:
(21): LOAD5182(java.lang.Object(ARRAY(i6[21], a14630data[21])), i636[21], java.lang.Object(IntList(o9257[21], i1372[21])), i1314[21], java.lang.Object(IntList(o9257[21], i1372[21]))) → COND_LOAD51826(i1314[21] <= 1, java.lang.Object(ARRAY(i6[21], a14630data[21])), i636[21], i1314[21], java.lang.Object(IntList(o9257[21], i1372[21])))
(3): JMP5555'(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3]) → LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])
(16): COND_LOAD51824(TRUE, java.lang.Object(ARRAY(i6[16], a14630data[16])), i636[16], i1315[16], java.lang.Object(IntList(o9408[16], i1398[16]))) → JMP5555'(java.lang.Object(ARRAY(i6[16], a14630data[16])), i636[16], java.lang.Object(IntList(o9408[16], i1398[16])), i1315[16] + -1, o9408[16])
(15): LOAD5182(java.lang.Object(ARRAY(i6[15], a14630data[15])), i636[15], java.lang.Object(IntList(o9408[15], i1398[15])), i1315[15], java.lang.Object(IntList(o9408[15], i1398[15]))) → COND_LOAD51824(i1315[15] > 1, java.lang.Object(ARRAY(i6[15], a14630data[15])), i636[15], i1315[15], java.lang.Object(IntList(o9408[15], i1398[15])))
(14): COND_LOAD51823(TRUE, java.lang.Object(ARRAY(i6[14], a14630data[14])), i636[14], o8925[14], i1314[14], java.lang.Object(IntList(o9251[14], i1370[14]))) → LOAD3666(java.lang.Object(ARRAY(i6[14], a14630data[14])), i636[14], o8925[14], i1370[14])
(13): LOAD5182(java.lang.Object(ARRAY(i6[13], a14630data[13])), i636[13], o8925[13], i1314[13], java.lang.Object(IntList(o9251[13], i1370[13]))) → COND_LOAD51823(i1314[13] <= 1, java.lang.Object(ARRAY(i6[13], a14630data[13])), i636[13], o8925[13], i1314[13], java.lang.Object(IntList(o9251[13], i1370[13])))
(20): LOAD5214(java.lang.Object(ARRAY(i6[20], a14630data[20])), i636[20], java.lang.Object(IntList(o9257[20], i1372[20])), java.lang.Object(IntList(o9257[20], i1372[20]))) → RETURN5413(java.lang.Object(ARRAY(i6[20], a14630data[20])), i636[20], java.lang.Object(IntList(o9257[20], i1372[20])), i1372[20])
(12): LOAD5214(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], o8925[12], java.lang.Object(IntList(o9251[12], i1370[12]))) → LOAD3666(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], o8925[12], i1370[12])
(7): COND_LOAD51821(TRUE, java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], i1315[7], o8924[7]) → LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7])
(6): LOAD5182(java.lang.Object(ARRAY(i6[6], a14630data[6])), i636[6], o8925[6], i1315[6], o8924[6]) → COND_LOAD51821(i1315[6] > 0 && i1315[6] <= 1, java.lang.Object(ARRAY(i6[6], a14630data[6])), i636[6], o8925[6], i1315[6], o8924[6])
(5): COND_LOAD5182(TRUE, java.lang.Object(ARRAY(i6[5], a14630data[5])), i636[5], o8925[5], i1315[5], java.lang.Object(IntList(o9395[5], i1395[5]))) → LOAD5182(java.lang.Object(ARRAY(i6[5], a14630data[5])), i636[5], o8925[5], i1315[5] + -1, o9395[5])
(4): LOAD5182(java.lang.Object(ARRAY(i6[4], a14630data[4])), i636[4], o8925[4], i1315[4], java.lang.Object(IntList(o9395[4], i1395[4]))) → COND_LOAD5182(i1315[4] > 1, java.lang.Object(ARRAY(i6[4], a14630data[4])), i636[4], o8925[4], i1315[4], java.lang.Object(IntList(o9395[4], i1395[4])))
(2): COND_LOAD3666ARR1(TRUE, java.lang.Object(ARRAY(i6[2], a8555data[2])), i123[2], java.lang.Object(IntList(o5524[2], i503[2])), i500[2], java.lang.Object(java.lang.String(i801[2]))) → LOAD5182(java.lang.Object(ARRAY(i6[2], a8555data[2])), i123[2] + 1, o5524[2], i801[2], o5524[2])
(1): LOAD3666ARR1(java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1]))) → COND_LOAD3666ARR1(i123[1] > 0 && i123[1] < i6[1] && i500[1] > 0 && i123[1] + 1 > 0, java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1])))
(0): LOAD3666(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0]) → LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))
(11): RETURN5413(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], o8925[11], i1370[11]) → LOAD3666(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], o8925[11], i1370[11])
(22): COND_LOAD51826(TRUE, java.lang.Object(ARRAY(i6[22], a14630data[22])), i636[22], i1314[22], java.lang.Object(IntList(o9257[22], i1372[22]))) → RETURN5413(java.lang.Object(ARRAY(i6[22], a14630data[22])), i636[22], java.lang.Object(IntList(o9257[22], i1372[22])), i1372[22])

(11) -> (0), if ((i636[11]* i123[0])∧(i1370[11]* i500[0])∧((i6[11]* i6[0])∧(a14630data[11]* a8555data[0]))∧(o8925[11]* java.lang.Object(IntList(o5524[0], i503[0]))))


(12) -> (0), if ((o8925[12]* java.lang.Object(IntList(o5524[0], i503[0])))∧(i636[12]* i123[0])∧(i1370[12]* i500[0])∧((i6[12]* i6[0])∧(a14630data[12]* a8555data[0])))


(14) -> (0), if ((i1370[14]* i500[0])∧(o8925[14]* java.lang.Object(IntList(o5524[0], i503[0])))∧(i636[14]* i123[0])∧((i6[14]* i6[0])∧(a14630data[14]* a8555data[0])))


(0) -> (1), if ((i500[0]* i500[1])∧((i6[0]* i6[1])∧(a8555data[0]* a8555data[1]))∧(i123[0]* i123[1])∧((o5524[0]* o5524[1])∧(i503[0]* i503[1]))∧((i801[0]* i801[1])))


(1) -> (2), if (((i801[1]* i801[2]))∧(i123[1] > 0 && i123[1] < i6[1] && i500[1] > 0 && i123[1] + 1 > 0* TRUE)∧((i6[1]* i6[2])∧(a8555data[1]* a8555data[2]))∧(i123[1]* i123[2])∧(i500[1]* i500[2])∧((o5524[1]* o5524[2])∧(i503[1]* i503[2])))


(16) -> (3), if ((i1315[16] + -1* i1365[3])∧(java.lang.Object(IntList(o9408[16], i1398[16])) →* o8925[3])∧(o9408[16]* o9395[3])∧((i6[16]* i6[3])∧(a14630data[16]* a14630data[3]))∧(i636[16]* i636[3]))


(2) -> (4), if ((i801[2]* i1315[4])∧(o5524[2]* java.lang.Object(IntList(o9395[4], i1395[4])))∧(i123[2] + 1* i636[4])∧((i6[2]* i6[4])∧(a8555data[2]* a14630data[4]))∧(o5524[2]* o8925[4]))


(3) -> (4), if ((o8925[3]* o8925[4])∧(o9395[3]* java.lang.Object(IntList(o9395[4], i1395[4])))∧((i6[3]* i6[4])∧(a14630data[3]* a14630data[4]))∧(i636[3]* i636[4])∧(i1365[3]* i1315[4]))


(5) -> (4), if (((i6[5]* i6[4])∧(a14630data[5]* a14630data[4]))∧(i1315[5] + -1* i1315[4])∧(o9395[5]* java.lang.Object(IntList(o9395[4], i1395[4])))∧(o8925[5]* o8925[4])∧(i636[5]* i636[4]))


(4) -> (5), if ((i1315[4] > 1* TRUE)∧((o9395[4]* o9395[5])∧(i1395[4]* i1395[5]))∧(o8925[4]* o8925[5])∧(i1315[4]* i1315[5])∧(i636[4]* i636[5])∧((i6[4]* i6[5])∧(a14630data[4]* a14630data[5])))


(2) -> (6), if ((o5524[2]* o8924[6])∧((i6[2]* i6[6])∧(a8555data[2]* a14630data[6]))∧(o5524[2]* o8925[6])∧(i801[2]* i1315[6])∧(i123[2] + 1* i636[6]))


(3) -> (6), if ((o9395[3]* o8924[6])∧(o8925[3]* o8925[6])∧(i636[3]* i636[6])∧((i6[3]* i6[6])∧(a14630data[3]* a14630data[6]))∧(i1365[3]* i1315[6]))


(5) -> (6), if ((i1315[5] + -1* i1315[6])∧((i6[5]* i6[6])∧(a14630data[5]* a14630data[6]))∧(o8925[5]* o8925[6])∧(o9395[5]* o8924[6])∧(i636[5]* i636[6]))


(6) -> (7), if ((i1315[6] > 0 && i1315[6] <= 1* TRUE)∧(i1315[6]* i1315[7])∧(o8925[6]* o8925[7])∧((i6[6]* i6[7])∧(a14630data[6]* a14630data[7]))∧(o8924[6]* o8924[7])∧(i636[6]* i636[7]))


(20) -> (11), if (((i6[20]* i6[11])∧(a14630data[20]* a14630data[11]))∧(i1372[20]* i1370[11])∧(java.lang.Object(IntList(o9257[20], i1372[20])) →* o8925[11])∧(i636[20]* i636[11]))


(22) -> (11), if ((i1372[22]* i1370[11])∧(i636[22]* i636[11])∧(java.lang.Object(IntList(o9257[22], i1372[22])) →* o8925[11])∧((i6[22]* i6[11])∧(a14630data[22]* a14630data[11])))


(7) -> (12), if ((o8924[7]* java.lang.Object(IntList(o9251[12], i1370[12])))∧((i6[7]* i6[12])∧(a14630data[7]* a14630data[12]))∧(o8925[7]* o8925[12])∧(i636[7]* i636[12]))


(2) -> (13), if ((o5524[2]* java.lang.Object(IntList(o9251[13], i1370[13])))∧(i801[2]* i1314[13])∧(o5524[2]* o8925[13])∧((i6[2]* i6[13])∧(a8555data[2]* a14630data[13]))∧(i123[2] + 1* i636[13]))


(3) -> (13), if (((i6[3]* i6[13])∧(a14630data[3]* a14630data[13]))∧(i636[3]* i636[13])∧(o8925[3]* o8925[13])∧(i1365[3]* i1314[13])∧(o9395[3]* java.lang.Object(IntList(o9251[13], i1370[13]))))


(5) -> (13), if ((i1315[5] + -1* i1314[13])∧(o9395[5]* java.lang.Object(IntList(o9251[13], i1370[13])))∧(o8925[5]* o8925[13])∧((i6[5]* i6[13])∧(a14630data[5]* a14630data[13]))∧(i636[5]* i636[13]))


(13) -> (14), if ((i1314[13]* i1314[14])∧((i6[13]* i6[14])∧(a14630data[13]* a14630data[14]))∧(o8925[13]* o8925[14])∧(i1314[13] <= 1* TRUE)∧(i636[13]* i636[14])∧((o9251[13]* o9251[14])∧(i1370[13]* i1370[14])))


(2) -> (15), if ((i123[2] + 1* i636[15])∧((i6[2]* i6[15])∧(a8555data[2]* a14630data[15]))∧(i801[2]* i1315[15])∧(o5524[2]* java.lang.Object(IntList(o9408[15], i1398[15]))))


(3) -> (15), if ((i636[3]* i636[15])∧((i6[3]* i6[15])∧(a14630data[3]* a14630data[15]))∧(o8925[3]* java.lang.Object(IntList(o9408[15], i1398[15])))∧(o9395[3]* java.lang.Object(IntList(o9408[15], i1398[15])))∧(i1365[3]* i1315[15]))


(5) -> (15), if (((i6[5]* i6[15])∧(a14630data[5]* a14630data[15]))∧(o9395[5]* java.lang.Object(IntList(o9408[15], i1398[15])))∧(o8925[5]* java.lang.Object(IntList(o9408[15], i1398[15])))∧(i636[5]* i636[15])∧(i1315[5] + -1* i1315[15]))


(15) -> (16), if (((o9408[15]* o9408[16])∧(i1398[15]* i1398[16]))∧((i6[15]* i6[16])∧(a14630data[15]* a14630data[16]))∧(i636[15]* i636[16])∧(i1315[15]* i1315[16])∧(i1315[15] > 1* TRUE))


(7) -> (20), if ((o8924[7]* java.lang.Object(IntList(o9257[20], i1372[20])))∧(o8925[7]* java.lang.Object(IntList(o9257[20], i1372[20])))∧(i636[7]* i636[20])∧((i6[7]* i6[20])∧(a14630data[7]* a14630data[20])))


(2) -> (21), if ((i801[2]* i1314[21])∧((i6[2]* i6[21])∧(a8555data[2]* a14630data[21]))∧(o5524[2]* java.lang.Object(IntList(o9257[21], i1372[21])))∧(i123[2] + 1* i636[21]))


(3) -> (21), if ((i1365[3]* i1314[21])∧(i636[3]* i636[21])∧(o9395[3]* java.lang.Object(IntList(o9257[21], i1372[21])))∧(o8925[3]* java.lang.Object(IntList(o9257[21], i1372[21])))∧((i6[3]* i6[21])∧(a14630data[3]* a14630data[21])))


(5) -> (21), if (((i6[5]* i6[21])∧(a14630data[5]* a14630data[21]))∧(o9395[5]* java.lang.Object(IntList(o9257[21], i1372[21])))∧(i636[5]* i636[21])∧(o8925[5]* java.lang.Object(IntList(o9257[21], i1372[21])))∧(i1315[5] + -1* i1314[21]))


(21) -> (22), if (((o9257[21]* o9257[22])∧(i1372[21]* i1372[22]))∧(i1314[21]* i1314[22])∧((i6[21]* i6[22])∧(a14630data[21]* a14630data[22]))∧(i636[21]* i636[22])∧(i1314[21] <= 1* TRUE))



The set Q consists of the following terms:
Load3666(java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(IntList(x3, x4)), x5)
Load3666ARR1(java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(IntList(x3, x4)), x5, java.lang.Object(java.lang.String(x6)))
Cond_Load3666ARR1(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(IntList(x3, x4)), x5, java.lang.Object(java.lang.String(x6)))
JMP5555(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, x5)
Cond_Load5182(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(IntList(x5, x6)))
Load5182(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, x5)
Cond_Load51821(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, x5)
Cond_Load51822(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4)
Store5482(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4)
Return5413(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4)
Load5214(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(IntList(x4, x5)))
Cond_Load51823(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(IntList(x5, x6)))
Cond_Load51824(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(IntList(x4, x5)))
Load5214(java.lang.Object(ARRAY(x0, x1)), x2, x3, NULL)
Cond_Load51825(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4)
Cond_Load51826(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(IntList(x4, x5)))

(26) 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 LOAD5182(java.lang.Object(ARRAY(i6[21], a14630data[21])), i636[21], java.lang.Object(IntList(o9257[21], i1372[21])), i1314[21], java.lang.Object(IntList(o9257[21], i1372[21]))) → COND_LOAD51826(<=(i1314[21], 1), java.lang.Object(ARRAY(i6[21], a14630data[21])), i636[21], i1314[21], java.lang.Object(IntList(o9257[21], i1372[21]))) the following chains were created:
  • We consider the chain LOAD5182(java.lang.Object(ARRAY(i6[21], a14630data[21])), i636[21], java.lang.Object(IntList(o9257[21], i1372[21])), i1314[21], java.lang.Object(IntList(o9257[21], i1372[21]))) → COND_LOAD51826(<=(i1314[21], 1), java.lang.Object(ARRAY(i6[21], a14630data[21])), i636[21], i1314[21], java.lang.Object(IntList(o9257[21], i1372[21]))), COND_LOAD51826(TRUE, java.lang.Object(ARRAY(i6[22], a14630data[22])), i636[22], i1314[22], java.lang.Object(IntList(o9257[22], i1372[22]))) → RETURN5413(java.lang.Object(ARRAY(i6[22], a14630data[22])), i636[22], java.lang.Object(IntList(o9257[22], i1372[22])), i1372[22]) which results in the following constraint:

    (1)    (o9257[21]=o9257[22]i1372[21]=i1372[22]i1314[21]=i1314[22]i6[21]=i6[22]a14630data[21]=a14630data[22]i636[21]=i636[22]<=(i1314[21], 1)=TRUELOAD5182(java.lang.Object(ARRAY(i6[21], a14630data[21])), i636[21], java.lang.Object(IntList(o9257[21], i1372[21])), i1314[21], java.lang.Object(IntList(o9257[21], i1372[21])))≥COND_LOAD51826(<=(i1314[21], 1), java.lang.Object(ARRAY(i6[21], a14630data[21])), i636[21], i1314[21], java.lang.Object(IntList(o9257[21], i1372[21])))∧(UIncreasing(COND_LOAD51826(<=(i1314[21], 1), java.lang.Object(ARRAY(i6[21], a14630data[21])), i636[21], i1314[21], java.lang.Object(IntList(o9257[21], i1372[21])))), ≥))



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

    (2)    (<=(i1314[21], 1)=TRUELOAD5182(java.lang.Object(ARRAY(i6[21], a14630data[21])), i636[21], java.lang.Object(IntList(o9257[21], i1372[21])), i1314[21], java.lang.Object(IntList(o9257[21], i1372[21])))≥COND_LOAD51826(<=(i1314[21], 1), java.lang.Object(ARRAY(i6[21], a14630data[21])), i636[21], i1314[21], java.lang.Object(IntList(o9257[21], i1372[21])))∧(UIncreasing(COND_LOAD51826(<=(i1314[21], 1), java.lang.Object(ARRAY(i6[21], a14630data[21])), i636[21], i1314[21], java.lang.Object(IntList(o9257[21], i1372[21])))), ≥))



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

    (3)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD51826(<=(i1314[21], 1), java.lang.Object(ARRAY(i6[21], a14630data[21])), i636[21], i1314[21], java.lang.Object(IntList(o9257[21], i1372[21])))), ≥)∧[1 + (-1)bso_84] + [2]o9257[21] + i636[21] ≥ 0)



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

    (4)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD51826(<=(i1314[21], 1), java.lang.Object(ARRAY(i6[21], a14630data[21])), i636[21], i1314[21], java.lang.Object(IntList(o9257[21], i1372[21])))), ≥)∧[1 + (-1)bso_84] + [2]o9257[21] + i636[21] ≥ 0)



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

    (5)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD51826(<=(i1314[21], 1), java.lang.Object(ARRAY(i6[21], a14630data[21])), i636[21], i1314[21], java.lang.Object(IntList(o9257[21], i1372[21])))), ≥)∧[1 + (-1)bso_84] + [2]o9257[21] + i636[21] ≥ 0)



    We simplified constraint (5) using rules (IDP_UNRESTRICTED_VARS), (IDP_POLY_GCD) which results in the following new constraint:

    (6)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD51826(<=(i1314[21], 1), java.lang.Object(ARRAY(i6[21], a14630data[21])), i636[21], i1314[21], java.lang.Object(IntList(o9257[21], i1372[21])))), ≥)∧0 ≥ 0∧0 ≥ 0∧[1] ≥ 0∧0 ≥ 0∧0 ≥ 0∧[1 + (-1)bso_84] ≥ 0∧[1] ≥ 0)







For Pair JMP5555'(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3]) → LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3]) the following chains were created:
  • We consider the chain JMP5555'(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3]) → LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3]), LOAD5182(java.lang.Object(ARRAY(i6[4], a14630data[4])), i636[4], o8925[4], i1315[4], java.lang.Object(IntList(o9395[4], i1395[4]))) → COND_LOAD5182(>(i1315[4], 1), java.lang.Object(ARRAY(i6[4], a14630data[4])), i636[4], o8925[4], i1315[4], java.lang.Object(IntList(o9395[4], i1395[4]))) which results in the following constraint:

    (7)    (o8925[3]=o8925[4]o9395[3]=java.lang.Object(IntList(o9395[4], i1395[4]))∧i6[3]=i6[4]a14630data[3]=a14630data[4]i636[3]=i636[4]i1365[3]=i1315[4]JMP5555'(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])≥LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])∧(UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥))



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

    (8)    (JMP5555'(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], java.lang.Object(IntList(o9395[4], i1395[4])))≥LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], java.lang.Object(IntList(o9395[4], i1395[4])))∧(UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥))



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

    (9)    ((UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥)∧[1 + (-1)bso_85] ≥ 0)



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

    (10)    ((UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥)∧[1 + (-1)bso_85] ≥ 0)



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

    (11)    ((UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥)∧[1 + (-1)bso_85] ≥ 0)



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

    (12)    ((UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[1 + (-1)bso_85] ≥ 0)



  • We consider the chain JMP5555'(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3]) → LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3]), LOAD5182(java.lang.Object(ARRAY(i6[6], a14630data[6])), i636[6], o8925[6], i1315[6], o8924[6]) → COND_LOAD51821(&&(>(i1315[6], 0), <=(i1315[6], 1)), java.lang.Object(ARRAY(i6[6], a14630data[6])), i636[6], o8925[6], i1315[6], o8924[6]) which results in the following constraint:

    (13)    (o9395[3]=o8924[6]o8925[3]=o8925[6]i636[3]=i636[6]i6[3]=i6[6]a14630data[3]=a14630data[6]i1365[3]=i1315[6]JMP5555'(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])≥LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])∧(UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥))



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

    (14)    (JMP5555'(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])≥LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])∧(UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥))



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

    (15)    ((UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥)∧[1 + (-1)bso_85] ≥ 0)



    We simplified constraint (15) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (16)    ((UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥)∧[1 + (-1)bso_85] ≥ 0)



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

    (17)    ((UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥)∧[1 + (-1)bso_85] ≥ 0)



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

    (18)    ((UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[1 + (-1)bso_85] ≥ 0)



  • We consider the chain JMP5555'(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3]) → LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3]), LOAD5182(java.lang.Object(ARRAY(i6[13], a14630data[13])), i636[13], o8925[13], i1314[13], java.lang.Object(IntList(o9251[13], i1370[13]))) → COND_LOAD51823(<=(i1314[13], 1), java.lang.Object(ARRAY(i6[13], a14630data[13])), i636[13], o8925[13], i1314[13], java.lang.Object(IntList(o9251[13], i1370[13]))) which results in the following constraint:

    (19)    (i6[3]=i6[13]a14630data[3]=a14630data[13]i636[3]=i636[13]o8925[3]=o8925[13]i1365[3]=i1314[13]o9395[3]=java.lang.Object(IntList(o9251[13], i1370[13])) ⇒ JMP5555'(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])≥LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])∧(UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥))



    We simplified constraint (19) using rules (III), (IV) which results in the following new constraint:

    (20)    (JMP5555'(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], java.lang.Object(IntList(o9251[13], i1370[13])))≥LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], java.lang.Object(IntList(o9251[13], i1370[13])))∧(UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥))



    We simplified constraint (20) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (21)    ((UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥)∧[1 + (-1)bso_85] ≥ 0)



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

    (22)    ((UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥)∧[1 + (-1)bso_85] ≥ 0)



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

    (23)    ((UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥)∧[1 + (-1)bso_85] ≥ 0)



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

    (24)    ((UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[1 + (-1)bso_85] ≥ 0)



  • We consider the chain JMP5555'(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3]) → LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3]), LOAD5182(java.lang.Object(ARRAY(i6[15], a14630data[15])), i636[15], java.lang.Object(IntList(o9408[15], i1398[15])), i1315[15], java.lang.Object(IntList(o9408[15], i1398[15]))) → COND_LOAD51824(>(i1315[15], 1), java.lang.Object(ARRAY(i6[15], a14630data[15])), i636[15], i1315[15], java.lang.Object(IntList(o9408[15], i1398[15]))) which results in the following constraint:

    (25)    (i636[3]=i636[15]i6[3]=i6[15]a14630data[3]=a14630data[15]o8925[3]=java.lang.Object(IntList(o9408[15], i1398[15]))∧o9395[3]=java.lang.Object(IntList(o9408[15], i1398[15]))∧i1365[3]=i1315[15]JMP5555'(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])≥LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])∧(UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥))



    We simplified constraint (25) using rules (III), (IV) which results in the following new constraint:

    (26)    (JMP5555'(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], java.lang.Object(IntList(o9408[15], i1398[15])), i1365[3], java.lang.Object(IntList(o9408[15], i1398[15])))≥LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], java.lang.Object(IntList(o9408[15], i1398[15])), i1365[3], java.lang.Object(IntList(o9408[15], i1398[15])))∧(UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥))



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

    (27)    ((UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥)∧[1 + (-1)bso_85] ≥ 0)



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

    (28)    ((UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥)∧[1 + (-1)bso_85] ≥ 0)



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

    (29)    ((UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥)∧[1 + (-1)bso_85] ≥ 0)



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

    (30)    ((UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[1 + (-1)bso_85] ≥ 0)



  • We consider the chain JMP5555'(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3]) → LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3]), LOAD5182(java.lang.Object(ARRAY(i6[21], a14630data[21])), i636[21], java.lang.Object(IntList(o9257[21], i1372[21])), i1314[21], java.lang.Object(IntList(o9257[21], i1372[21]))) → COND_LOAD51826(<=(i1314[21], 1), java.lang.Object(ARRAY(i6[21], a14630data[21])), i636[21], i1314[21], java.lang.Object(IntList(o9257[21], i1372[21]))) which results in the following constraint:

    (31)    (i1365[3]=i1314[21]i636[3]=i636[21]o9395[3]=java.lang.Object(IntList(o9257[21], i1372[21]))∧o8925[3]=java.lang.Object(IntList(o9257[21], i1372[21]))∧i6[3]=i6[21]a14630data[3]=a14630data[21]JMP5555'(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])≥LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])∧(UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥))



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

    (32)    (JMP5555'(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], java.lang.Object(IntList(o9257[21], i1372[21])), i1365[3], java.lang.Object(IntList(o9257[21], i1372[21])))≥LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], java.lang.Object(IntList(o9257[21], i1372[21])), i1365[3], java.lang.Object(IntList(o9257[21], i1372[21])))∧(UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥))



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

    (33)    ((UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥)∧[1 + (-1)bso_85] ≥ 0)



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

    (34)    ((UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥)∧[1 + (-1)bso_85] ≥ 0)



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

    (35)    ((UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥)∧[1 + (-1)bso_85] ≥ 0)



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

    (36)    ((UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[1 + (-1)bso_85] ≥ 0)







For Pair COND_LOAD51824(TRUE, java.lang.Object(ARRAY(i6[16], a14630data[16])), i636[16], i1315[16], java.lang.Object(IntList(o9408[16], i1398[16]))) → JMP5555'(java.lang.Object(ARRAY(i6[16], a14630data[16])), i636[16], java.lang.Object(IntList(o9408[16], i1398[16])), +(i1315[16], -1), o9408[16]) the following chains were created:
  • We consider the chain LOAD5182(java.lang.Object(ARRAY(i6[15], a14630data[15])), i636[15], java.lang.Object(IntList(o9408[15], i1398[15])), i1315[15], java.lang.Object(IntList(o9408[15], i1398[15]))) → COND_LOAD51824(>(i1315[15], 1), java.lang.Object(ARRAY(i6[15], a14630data[15])), i636[15], i1315[15], java.lang.Object(IntList(o9408[15], i1398[15]))), COND_LOAD51824(TRUE, java.lang.Object(ARRAY(i6[16], a14630data[16])), i636[16], i1315[16], java.lang.Object(IntList(o9408[16], i1398[16]))) → JMP5555'(java.lang.Object(ARRAY(i6[16], a14630data[16])), i636[16], java.lang.Object(IntList(o9408[16], i1398[16])), +(i1315[16], -1), o9408[16]), JMP5555'(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3]) → LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3]) which results in the following constraint:

    (37)    (o9408[15]=o9408[16]i1398[15]=i1398[16]i6[15]=i6[16]a14630data[15]=a14630data[16]i636[15]=i636[16]i1315[15]=i1315[16]>(i1315[15], 1)=TRUE+(i1315[16], -1)=i1365[3]java.lang.Object(IntList(o9408[16], i1398[16]))=o8925[3]o9408[16]=o9395[3]i6[16]=i6[3]a14630data[16]=a14630data[3]i636[16]=i636[3]COND_LOAD51824(TRUE, java.lang.Object(ARRAY(i6[16], a14630data[16])), i636[16], i1315[16], java.lang.Object(IntList(o9408[16], i1398[16])))≥JMP5555'(java.lang.Object(ARRAY(i6[16], a14630data[16])), i636[16], java.lang.Object(IntList(o9408[16], i1398[16])), +(i1315[16], -1), o9408[16])∧(UIncreasing(JMP5555'(java.lang.Object(ARRAY(i6[16], a14630data[16])), i636[16], java.lang.Object(IntList(o9408[16], i1398[16])), +(i1315[16], -1), o9408[16])), ≥))



    We simplified constraint (37) using rules (III), (IV) which results in the following new constraint:

    (38)    (>(i1315[15], 1)=TRUECOND_LOAD51824(TRUE, java.lang.Object(ARRAY(i6[15], a14630data[15])), i636[15], i1315[15], java.lang.Object(IntList(o9408[15], i1398[15])))≥JMP5555'(java.lang.Object(ARRAY(i6[15], a14630data[15])), i636[15], java.lang.Object(IntList(o9408[15], i1398[15])), +(i1315[15], -1), o9408[15])∧(UIncreasing(JMP5555'(java.lang.Object(ARRAY(i6[16], a14630data[16])), i636[16], java.lang.Object(IntList(o9408[16], i1398[16])), +(i1315[16], -1), o9408[16])), ≥))



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

    (39)    (0 ≥ 0 ⇒ (UIncreasing(JMP5555'(java.lang.Object(ARRAY(i6[16], a14630data[16])), i636[16], java.lang.Object(IntList(o9408[16], i1398[16])), +(i1315[16], -1), o9408[16])), ≥)∧[(-1)bso_86] + o9408[15] ≥ 0)



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

    (40)    (0 ≥ 0 ⇒ (UIncreasing(JMP5555'(java.lang.Object(ARRAY(i6[16], a14630data[16])), i636[16], java.lang.Object(IntList(o9408[16], i1398[16])), +(i1315[16], -1), o9408[16])), ≥)∧[(-1)bso_86] + o9408[15] ≥ 0)



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

    (41)    (0 ≥ 0 ⇒ (UIncreasing(JMP5555'(java.lang.Object(ARRAY(i6[16], a14630data[16])), i636[16], java.lang.Object(IntList(o9408[16], i1398[16])), +(i1315[16], -1), o9408[16])), ≥)∧[(-1)bso_86] + o9408[15] ≥ 0)



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

    (42)    (0 ≥ 0 ⇒ (UIncreasing(JMP5555'(java.lang.Object(ARRAY(i6[16], a14630data[16])), i636[16], java.lang.Object(IntList(o9408[16], i1398[16])), +(i1315[16], -1), o9408[16])), ≥)∧0 ≥ 0∧[1] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_86] ≥ 0)







For Pair LOAD5182(java.lang.Object(ARRAY(i6[15], a14630data[15])), i636[15], java.lang.Object(IntList(o9408[15], i1398[15])), i1315[15], java.lang.Object(IntList(o9408[15], i1398[15]))) → COND_LOAD51824(>(i1315[15], 1), java.lang.Object(ARRAY(i6[15], a14630data[15])), i636[15], i1315[15], java.lang.Object(IntList(o9408[15], i1398[15]))) the following chains were created:
  • We consider the chain LOAD5182(java.lang.Object(ARRAY(i6[15], a14630data[15])), i636[15], java.lang.Object(IntList(o9408[15], i1398[15])), i1315[15], java.lang.Object(IntList(o9408[15], i1398[15]))) → COND_LOAD51824(>(i1315[15], 1), java.lang.Object(ARRAY(i6[15], a14630data[15])), i636[15], i1315[15], java.lang.Object(IntList(o9408[15], i1398[15]))), COND_LOAD51824(TRUE, java.lang.Object(ARRAY(i6[16], a14630data[16])), i636[16], i1315[16], java.lang.Object(IntList(o9408[16], i1398[16]))) → JMP5555'(java.lang.Object(ARRAY(i6[16], a14630data[16])), i636[16], java.lang.Object(IntList(o9408[16], i1398[16])), +(i1315[16], -1), o9408[16]) which results in the following constraint:

    (43)    (o9408[15]=o9408[16]i1398[15]=i1398[16]i6[15]=i6[16]a14630data[15]=a14630data[16]i636[15]=i636[16]i1315[15]=i1315[16]>(i1315[15], 1)=TRUELOAD5182(java.lang.Object(ARRAY(i6[15], a14630data[15])), i636[15], java.lang.Object(IntList(o9408[15], i1398[15])), i1315[15], java.lang.Object(IntList(o9408[15], i1398[15])))≥COND_LOAD51824(>(i1315[15], 1), java.lang.Object(ARRAY(i6[15], a14630data[15])), i636[15], i1315[15], java.lang.Object(IntList(o9408[15], i1398[15])))∧(UIncreasing(COND_LOAD51824(>(i1315[15], 1), java.lang.Object(ARRAY(i6[15], a14630data[15])), i636[15], i1315[15], java.lang.Object(IntList(o9408[15], i1398[15])))), ≥))



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

    (44)    (>(i1315[15], 1)=TRUELOAD5182(java.lang.Object(ARRAY(i6[15], a14630data[15])), i636[15], java.lang.Object(IntList(o9408[15], i1398[15])), i1315[15], java.lang.Object(IntList(o9408[15], i1398[15])))≥COND_LOAD51824(>(i1315[15], 1), java.lang.Object(ARRAY(i6[15], a14630data[15])), i636[15], i1315[15], java.lang.Object(IntList(o9408[15], i1398[15])))∧(UIncreasing(COND_LOAD51824(>(i1315[15], 1), java.lang.Object(ARRAY(i6[15], a14630data[15])), i636[15], i1315[15], java.lang.Object(IntList(o9408[15], i1398[15])))), ≥))



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

    (45)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD51824(>(i1315[15], 1), java.lang.Object(ARRAY(i6[15], a14630data[15])), i636[15], i1315[15], java.lang.Object(IntList(o9408[15], i1398[15])))), ≥)∧[(-1)bso_87] ≥ 0)



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

    (46)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD51824(>(i1315[15], 1), java.lang.Object(ARRAY(i6[15], a14630data[15])), i636[15], i1315[15], java.lang.Object(IntList(o9408[15], i1398[15])))), ≥)∧[(-1)bso_87] ≥ 0)



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

    (47)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD51824(>(i1315[15], 1), java.lang.Object(ARRAY(i6[15], a14630data[15])), i636[15], i1315[15], java.lang.Object(IntList(o9408[15], i1398[15])))), ≥)∧[(-1)bso_87] ≥ 0)



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

    (48)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD51824(>(i1315[15], 1), java.lang.Object(ARRAY(i6[15], a14630data[15])), i636[15], i1315[15], java.lang.Object(IntList(o9408[15], i1398[15])))), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_87] ≥ 0)







For Pair COND_LOAD51823(TRUE, java.lang.Object(ARRAY(i6[14], a14630data[14])), i636[14], o8925[14], i1314[14], java.lang.Object(IntList(o9251[14], i1370[14]))) → LOAD3666(java.lang.Object(ARRAY(i6[14], a14630data[14])), i636[14], o8925[14], i1370[14]) the following chains were created:
  • We consider the chain LOAD5182(java.lang.Object(ARRAY(i6[13], a14630data[13])), i636[13], o8925[13], i1314[13], java.lang.Object(IntList(o9251[13], i1370[13]))) → COND_LOAD51823(<=(i1314[13], 1), java.lang.Object(ARRAY(i6[13], a14630data[13])), i636[13], o8925[13], i1314[13], java.lang.Object(IntList(o9251[13], i1370[13]))), COND_LOAD51823(TRUE, java.lang.Object(ARRAY(i6[14], a14630data[14])), i636[14], o8925[14], i1314[14], java.lang.Object(IntList(o9251[14], i1370[14]))) → LOAD3666(java.lang.Object(ARRAY(i6[14], a14630data[14])), i636[14], o8925[14], i1370[14]), LOAD3666(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0]) → LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0]))) which results in the following constraint:

    (49)    (i1314[13]=i1314[14]i6[13]=i6[14]a14630data[13]=a14630data[14]o8925[13]=o8925[14]<=(i1314[13], 1)=TRUEi636[13]=i636[14]o9251[13]=o9251[14]i1370[13]=i1370[14]i1370[14]=i500[0]o8925[14]=java.lang.Object(IntList(o5524[0], i503[0]))∧i636[14]=i123[0]i6[14]=i6[0]a14630data[14]=a8555data[0]COND_LOAD51823(TRUE, java.lang.Object(ARRAY(i6[14], a14630data[14])), i636[14], o8925[14], i1314[14], java.lang.Object(IntList(o9251[14], i1370[14])))≥LOAD3666(java.lang.Object(ARRAY(i6[14], a14630data[14])), i636[14], o8925[14], i1370[14])∧(UIncreasing(LOAD3666(java.lang.Object(ARRAY(i6[14], a14630data[14])), i636[14], o8925[14], i1370[14])), ≥))



    We simplified constraint (49) using rules (III), (IV) which results in the following new constraint:

    (50)    (<=(i1314[13], 1)=TRUECOND_LOAD51823(TRUE, java.lang.Object(ARRAY(i6[13], a14630data[13])), i636[13], java.lang.Object(IntList(o5524[0], i503[0])), i1314[13], java.lang.Object(IntList(o9251[13], i1370[13])))≥LOAD3666(java.lang.Object(ARRAY(i6[13], a14630data[13])), i636[13], java.lang.Object(IntList(o5524[0], i503[0])), i1370[13])∧(UIncreasing(LOAD3666(java.lang.Object(ARRAY(i6[14], a14630data[14])), i636[14], o8925[14], i1370[14])), ≥))



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

    (51)    (0 ≥ 0 ⇒ (UIncreasing(LOAD3666(java.lang.Object(ARRAY(i6[14], a14630data[14])), i636[14], o8925[14], i1370[14])), ≥)∧[1 + (-1)bso_88] ≥ 0)



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

    (52)    (0 ≥ 0 ⇒ (UIncreasing(LOAD3666(java.lang.Object(ARRAY(i6[14], a14630data[14])), i636[14], o8925[14], i1370[14])), ≥)∧[1 + (-1)bso_88] ≥ 0)



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

    (53)    (0 ≥ 0 ⇒ (UIncreasing(LOAD3666(java.lang.Object(ARRAY(i6[14], a14630data[14])), i636[14], o8925[14], i1370[14])), ≥)∧[1 + (-1)bso_88] ≥ 0)



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

    (54)    (0 ≥ 0 ⇒ (UIncreasing(LOAD3666(java.lang.Object(ARRAY(i6[14], a14630data[14])), i636[14], o8925[14], i1370[14])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[1 + (-1)bso_88] ≥ 0)







For Pair LOAD5182(java.lang.Object(ARRAY(i6[13], a14630data[13])), i636[13], o8925[13], i1314[13], java.lang.Object(IntList(o9251[13], i1370[13]))) → COND_LOAD51823(<=(i1314[13], 1), java.lang.Object(ARRAY(i6[13], a14630data[13])), i636[13], o8925[13], i1314[13], java.lang.Object(IntList(o9251[13], i1370[13]))) the following chains were created:
  • We consider the chain LOAD5182(java.lang.Object(ARRAY(i6[13], a14630data[13])), i636[13], o8925[13], i1314[13], java.lang.Object(IntList(o9251[13], i1370[13]))) → COND_LOAD51823(<=(i1314[13], 1), java.lang.Object(ARRAY(i6[13], a14630data[13])), i636[13], o8925[13], i1314[13], java.lang.Object(IntList(o9251[13], i1370[13]))), COND_LOAD51823(TRUE, java.lang.Object(ARRAY(i6[14], a14630data[14])), i636[14], o8925[14], i1314[14], java.lang.Object(IntList(o9251[14], i1370[14]))) → LOAD3666(java.lang.Object(ARRAY(i6[14], a14630data[14])), i636[14], o8925[14], i1370[14]) which results in the following constraint:

    (55)    (i1314[13]=i1314[14]i6[13]=i6[14]a14630data[13]=a14630data[14]o8925[13]=o8925[14]<=(i1314[13], 1)=TRUEi636[13]=i636[14]o9251[13]=o9251[14]i1370[13]=i1370[14]LOAD5182(java.lang.Object(ARRAY(i6[13], a14630data[13])), i636[13], o8925[13], i1314[13], java.lang.Object(IntList(o9251[13], i1370[13])))≥COND_LOAD51823(<=(i1314[13], 1), java.lang.Object(ARRAY(i6[13], a14630data[13])), i636[13], o8925[13], i1314[13], java.lang.Object(IntList(o9251[13], i1370[13])))∧(UIncreasing(COND_LOAD51823(<=(i1314[13], 1), java.lang.Object(ARRAY(i6[13], a14630data[13])), i636[13], o8925[13], i1314[13], java.lang.Object(IntList(o9251[13], i1370[13])))), ≥))



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

    (56)    (<=(i1314[13], 1)=TRUELOAD5182(java.lang.Object(ARRAY(i6[13], a14630data[13])), i636[13], o8925[13], i1314[13], java.lang.Object(IntList(o9251[13], i1370[13])))≥COND_LOAD51823(<=(i1314[13], 1), java.lang.Object(ARRAY(i6[13], a14630data[13])), i636[13], o8925[13], i1314[13], java.lang.Object(IntList(o9251[13], i1370[13])))∧(UIncreasing(COND_LOAD51823(<=(i1314[13], 1), java.lang.Object(ARRAY(i6[13], a14630data[13])), i636[13], o8925[13], i1314[13], java.lang.Object(IntList(o9251[13], i1370[13])))), ≥))



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

    (57)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD51823(<=(i1314[13], 1), java.lang.Object(ARRAY(i6[13], a14630data[13])), i636[13], o8925[13], i1314[13], java.lang.Object(IntList(o9251[13], i1370[13])))), ≥)∧[(-1)bso_89] + [2]o9251[13] + i636[13] ≥ 0)



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

    (58)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD51823(<=(i1314[13], 1), java.lang.Object(ARRAY(i6[13], a14630data[13])), i636[13], o8925[13], i1314[13], java.lang.Object(IntList(o9251[13], i1370[13])))), ≥)∧[(-1)bso_89] + [2]o9251[13] + i636[13] ≥ 0)



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

    (59)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD51823(<=(i1314[13], 1), java.lang.Object(ARRAY(i6[13], a14630data[13])), i636[13], o8925[13], i1314[13], java.lang.Object(IntList(o9251[13], i1370[13])))), ≥)∧[(-1)bso_89] + [2]o9251[13] + i636[13] ≥ 0)



    We simplified constraint (59) using rules (IDP_UNRESTRICTED_VARS), (IDP_POLY_GCD) which results in the following new constraint:

    (60)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD51823(<=(i1314[13], 1), java.lang.Object(ARRAY(i6[13], a14630data[13])), i636[13], o8925[13], i1314[13], java.lang.Object(IntList(o9251[13], i1370[13])))), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[1] ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_89] ≥ 0∧[1] ≥ 0)







For Pair LOAD5214(java.lang.Object(ARRAY(i6[20], a14630data[20])), i636[20], java.lang.Object(IntList(o9257[20], i1372[20])), java.lang.Object(IntList(o9257[20], i1372[20]))) → RETURN5413(java.lang.Object(ARRAY(i6[20], a14630data[20])), i636[20], java.lang.Object(IntList(o9257[20], i1372[20])), i1372[20]) the following chains were created:
  • We consider the chain COND_LOAD51821(TRUE, java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], i1315[7], o8924[7]) → LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7]), LOAD5214(java.lang.Object(ARRAY(i6[20], a14630data[20])), i636[20], java.lang.Object(IntList(o9257[20], i1372[20])), java.lang.Object(IntList(o9257[20], i1372[20]))) → RETURN5413(java.lang.Object(ARRAY(i6[20], a14630data[20])), i636[20], java.lang.Object(IntList(o9257[20], i1372[20])), i1372[20]), RETURN5413(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], o8925[11], i1370[11]) → LOAD3666(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], o8925[11], i1370[11]) which results in the following constraint:

    (61)    (o8924[7]=java.lang.Object(IntList(o9257[20], i1372[20]))∧o8925[7]=java.lang.Object(IntList(o9257[20], i1372[20]))∧i636[7]=i636[20]i6[7]=i6[20]a14630data[7]=a14630data[20]i6[20]=i6[11]a14630data[20]=a14630data[11]i1372[20]=i1370[11]java.lang.Object(IntList(o9257[20], i1372[20]))=o8925[11]i636[20]=i636[11]LOAD5214(java.lang.Object(ARRAY(i6[20], a14630data[20])), i636[20], java.lang.Object(IntList(o9257[20], i1372[20])), java.lang.Object(IntList(o9257[20], i1372[20])))≥RETURN5413(java.lang.Object(ARRAY(i6[20], a14630data[20])), i636[20], java.lang.Object(IntList(o9257[20], i1372[20])), i1372[20])∧(UIncreasing(RETURN5413(java.lang.Object(ARRAY(i6[20], a14630data[20])), i636[20], java.lang.Object(IntList(o9257[20], i1372[20])), i1372[20])), ≥))



    We simplified constraint (61) using rules (III), (IV) which results in the following new constraint:

    (62)    (LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], java.lang.Object(IntList(o9257[20], i1372[20])), java.lang.Object(IntList(o9257[20], i1372[20])))≥RETURN5413(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], java.lang.Object(IntList(o9257[20], i1372[20])), i1372[20])∧(UIncreasing(RETURN5413(java.lang.Object(ARRAY(i6[20], a14630data[20])), i636[20], java.lang.Object(IntList(o9257[20], i1372[20])), i1372[20])), ≥))



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

    (63)    ((UIncreasing(RETURN5413(java.lang.Object(ARRAY(i6[20], a14630data[20])), i636[20], java.lang.Object(IntList(o9257[20], i1372[20])), i1372[20])), ≥)∧[(-1)bso_90] + [2]o9257[20] + i636[7] ≥ 0)



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

    (64)    ((UIncreasing(RETURN5413(java.lang.Object(ARRAY(i6[20], a14630data[20])), i636[20], java.lang.Object(IntList(o9257[20], i1372[20])), i1372[20])), ≥)∧[(-1)bso_90] + [2]o9257[20] + i636[7] ≥ 0)



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

    (65)    ((UIncreasing(RETURN5413(java.lang.Object(ARRAY(i6[20], a14630data[20])), i636[20], java.lang.Object(IntList(o9257[20], i1372[20])), i1372[20])), ≥)∧[(-1)bso_90] + [2]o9257[20] + i636[7] ≥ 0)



    We simplified constraint (65) using rules (IDP_UNRESTRICTED_VARS), (IDP_POLY_GCD) which results in the following new constraint:

    (66)    ((UIncreasing(RETURN5413(java.lang.Object(ARRAY(i6[20], a14630data[20])), i636[20], java.lang.Object(IntList(o9257[20], i1372[20])), i1372[20])), ≥)∧0 ≥ 0∧[1] ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_90] ≥ 0∧[1] ≥ 0)







For Pair LOAD5214(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], o8925[12], java.lang.Object(IntList(o9251[12], i1370[12]))) → LOAD3666(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], o8925[12], i1370[12]) the following chains were created:
  • We consider the chain COND_LOAD51821(TRUE, java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], i1315[7], o8924[7]) → LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7]), LOAD5214(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], o8925[12], java.lang.Object(IntList(o9251[12], i1370[12]))) → LOAD3666(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], o8925[12], i1370[12]), LOAD3666(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0]) → LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0]))) which results in the following constraint:

    (67)    (o8924[7]=java.lang.Object(IntList(o9251[12], i1370[12]))∧i6[7]=i6[12]a14630data[7]=a14630data[12]o8925[7]=o8925[12]i636[7]=i636[12]o8925[12]=java.lang.Object(IntList(o5524[0], i503[0]))∧i636[12]=i123[0]i1370[12]=i500[0]i6[12]=i6[0]a14630data[12]=a8555data[0]LOAD5214(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], o8925[12], java.lang.Object(IntList(o9251[12], i1370[12])))≥LOAD3666(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], o8925[12], i1370[12])∧(UIncreasing(LOAD3666(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], o8925[12], i1370[12])), ≥))



    We simplified constraint (67) using rules (III), (IV) which results in the following new constraint:

    (68)    (LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], java.lang.Object(IntList(o5524[0], i503[0])), java.lang.Object(IntList(o9251[12], i1370[12])))≥LOAD3666(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], java.lang.Object(IntList(o5524[0], i503[0])), i1370[12])∧(UIncreasing(LOAD3666(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], o8925[12], i1370[12])), ≥))



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

    (69)    ((UIncreasing(LOAD3666(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], o8925[12], i1370[12])), ≥)∧[(-1)bso_91] + [2]o9251[12] + i636[7] ≥ 0)



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

    (70)    ((UIncreasing(LOAD3666(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], o8925[12], i1370[12])), ≥)∧[(-1)bso_91] + [2]o9251[12] + i636[7] ≥ 0)



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

    (71)    ((UIncreasing(LOAD3666(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], o8925[12], i1370[12])), ≥)∧[(-1)bso_91] + [2]o9251[12] + i636[7] ≥ 0)



    We simplified constraint (71) using rules (IDP_UNRESTRICTED_VARS), (IDP_POLY_GCD) which results in the following new constraint:

    (72)    ((UIncreasing(LOAD3666(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], o8925[12], i1370[12])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[1] ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_91] ≥ 0∧[1] ≥ 0)







For Pair COND_LOAD51821(TRUE, java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], i1315[7], o8924[7]) → LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7]) the following chains were created:
  • We consider the chain COND_LOAD51821(TRUE, java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], i1315[7], o8924[7]) → LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7]), LOAD5214(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], o8925[12], java.lang.Object(IntList(o9251[12], i1370[12]))) → LOAD3666(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], o8925[12], i1370[12]) which results in the following constraint:

    (73)    (o8924[7]=java.lang.Object(IntList(o9251[12], i1370[12]))∧i6[7]=i6[12]a14630data[7]=a14630data[12]o8925[7]=o8925[12]i636[7]=i636[12]COND_LOAD51821(TRUE, java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], i1315[7], o8924[7])≥LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7])∧(UIncreasing(LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7])), ≥))



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

    (74)    (COND_LOAD51821(TRUE, java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], i1315[7], java.lang.Object(IntList(o9251[12], i1370[12])))≥LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], java.lang.Object(IntList(o9251[12], i1370[12])))∧(UIncreasing(LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7])), ≥))



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

    (75)    ((UIncreasing(LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7])), ≥)∧[(-1)bso_92] ≥ 0)



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

    (76)    ((UIncreasing(LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7])), ≥)∧[(-1)bso_92] ≥ 0)



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

    (77)    ((UIncreasing(LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7])), ≥)∧[(-1)bso_92] ≥ 0)



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

    (78)    ((UIncreasing(LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_92] ≥ 0)



  • We consider the chain COND_LOAD51821(TRUE, java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], i1315[7], o8924[7]) → LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7]), LOAD5214(java.lang.Object(ARRAY(i6[20], a14630data[20])), i636[20], java.lang.Object(IntList(o9257[20], i1372[20])), java.lang.Object(IntList(o9257[20], i1372[20]))) → RETURN5413(java.lang.Object(ARRAY(i6[20], a14630data[20])), i636[20], java.lang.Object(IntList(o9257[20], i1372[20])), i1372[20]) which results in the following constraint:

    (79)    (o8924[7]=java.lang.Object(IntList(o9257[20], i1372[20]))∧o8925[7]=java.lang.Object(IntList(o9257[20], i1372[20]))∧i636[7]=i636[20]i6[7]=i6[20]a14630data[7]=a14630data[20]COND_LOAD51821(TRUE, java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], i1315[7], o8924[7])≥LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7])∧(UIncreasing(LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7])), ≥))



    We simplified constraint (79) using rules (III), (IV) which results in the following new constraint:

    (80)    (COND_LOAD51821(TRUE, java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], java.lang.Object(IntList(o9257[20], i1372[20])), i1315[7], java.lang.Object(IntList(o9257[20], i1372[20])))≥LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], java.lang.Object(IntList(o9257[20], i1372[20])), java.lang.Object(IntList(o9257[20], i1372[20])))∧(UIncreasing(LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7])), ≥))



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

    (81)    ((UIncreasing(LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7])), ≥)∧[(-1)bso_92] ≥ 0)



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

    (82)    ((UIncreasing(LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7])), ≥)∧[(-1)bso_92] ≥ 0)



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

    (83)    ((UIncreasing(LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7])), ≥)∧[(-1)bso_92] ≥ 0)



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

    (84)    ((UIncreasing(LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_92] ≥ 0)







For Pair LOAD5182(java.lang.Object(ARRAY(i6[6], a14630data[6])), i636[6], o8925[6], i1315[6], o8924[6]) → COND_LOAD51821(&&(>(i1315[6], 0), <=(i1315[6], 1)), java.lang.Object(ARRAY(i6[6], a14630data[6])), i636[6], o8925[6], i1315[6], o8924[6]) the following chains were created:
  • We consider the chain LOAD5182(java.lang.Object(ARRAY(i6[6], a14630data[6])), i636[6], o8925[6], i1315[6], o8924[6]) → COND_LOAD51821(&&(>(i1315[6], 0), <=(i1315[6], 1)), java.lang.Object(ARRAY(i6[6], a14630data[6])), i636[6], o8925[6], i1315[6], o8924[6]), COND_LOAD51821(TRUE, java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], i1315[7], o8924[7]) → LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7]) which results in the following constraint:

    (85)    (&&(>(i1315[6], 0), <=(i1315[6], 1))=TRUEi1315[6]=i1315[7]o8925[6]=o8925[7]i6[6]=i6[7]a14630data[6]=a14630data[7]o8924[6]=o8924[7]i636[6]=i636[7]LOAD5182(java.lang.Object(ARRAY(i6[6], a14630data[6])), i636[6], o8925[6], i1315[6], o8924[6])≥COND_LOAD51821(&&(>(i1315[6], 0), <=(i1315[6], 1)), java.lang.Object(ARRAY(i6[6], a14630data[6])), i636[6], o8925[6], i1315[6], o8924[6])∧(UIncreasing(COND_LOAD51821(&&(>(i1315[6], 0), <=(i1315[6], 1)), java.lang.Object(ARRAY(i6[6], a14630data[6])), i636[6], o8925[6], i1315[6], o8924[6])), ≥))



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

    (86)    (&&(>(i1315[6], 0), <=(i1315[6], 1))=TRUELOAD5182(java.lang.Object(ARRAY(i6[6], a14630data[6])), i636[6], o8925[6], i1315[6], o8924[6])≥COND_LOAD51821(&&(>(i1315[6], 0), <=(i1315[6], 1)), java.lang.Object(ARRAY(i6[6], a14630data[6])), i636[6], o8925[6], i1315[6], o8924[6])∧(UIncreasing(COND_LOAD51821(&&(>(i1315[6], 0), <=(i1315[6], 1)), java.lang.Object(ARRAY(i6[6], a14630data[6])), i636[6], o8925[6], i1315[6], o8924[6])), ≥))



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

    (87)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD51821(&&(>(i1315[6], 0), <=(i1315[6], 1)), java.lang.Object(ARRAY(i6[6], a14630data[6])), i636[6], o8925[6], i1315[6], o8924[6])), ≥)∧[1 + (-1)bso_93] ≥ 0)



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

    (88)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD51821(&&(>(i1315[6], 0), <=(i1315[6], 1)), java.lang.Object(ARRAY(i6[6], a14630data[6])), i636[6], o8925[6], i1315[6], o8924[6])), ≥)∧[1 + (-1)bso_93] ≥ 0)



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

    (89)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD51821(&&(>(i1315[6], 0), <=(i1315[6], 1)), java.lang.Object(ARRAY(i6[6], a14630data[6])), i636[6], o8925[6], i1315[6], o8924[6])), ≥)∧[1 + (-1)bso_93] ≥ 0)



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

    (90)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD51821(&&(>(i1315[6], 0), <=(i1315[6], 1)), java.lang.Object(ARRAY(i6[6], a14630data[6])), i636[6], o8925[6], i1315[6], o8924[6])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[1 + (-1)bso_93] ≥ 0)







For Pair COND_LOAD5182(TRUE, java.lang.Object(ARRAY(i6[5], a14630data[5])), i636[5], o8925[5], i1315[5], java.lang.Object(IntList(o9395[5], i1395[5]))) → LOAD5182(java.lang.Object(ARRAY(i6[5], a14630data[5])), i636[5], o8925[5], +(i1315[5], -1), o9395[5]) the following chains were created:
  • We consider the chain LOAD5182(java.lang.Object(ARRAY(i6[4], a14630data[4])), i636[4], o8925[4], i1315[4], java.lang.Object(IntList(o9395[4], i1395[4]))) → COND_LOAD5182(>(i1315[4], 1), java.lang.Object(ARRAY(i6[4], a14630data[4])), i636[4], o8925[4], i1315[4], java.lang.Object(IntList(o9395[4], i1395[4]))), COND_LOAD5182(TRUE, java.lang.Object(ARRAY(i6[5], a14630data[5])), i636[5], o8925[5], i1315[5], java.lang.Object(IntList(o9395[5], i1395[5]))) → LOAD5182(java.lang.Object(ARRAY(i6[5], a14630data[5])), i636[5], o8925[5], +(i1315[5], -1), o9395[5]) which results in the following constraint:

    (91)    (>(i1315[4], 1)=TRUEo9395[4]=o9395[5]i1395[4]=i1395[5]o8925[4]=o8925[5]i1315[4]=i1315[5]i636[4]=i636[5]i6[4]=i6[5]a14630data[4]=a14630data[5]COND_LOAD5182(TRUE, java.lang.Object(ARRAY(i6[5], a14630data[5])), i636[5], o8925[5], i1315[5], java.lang.Object(IntList(o9395[5], i1395[5])))≥LOAD5182(java.lang.Object(ARRAY(i6[5], a14630data[5])), i636[5], o8925[5], +(i1315[5], -1), o9395[5])∧(UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[5], a14630data[5])), i636[5], o8925[5], +(i1315[5], -1), o9395[5])), ≥))



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

    (92)    (>(i1315[4], 1)=TRUECOND_LOAD5182(TRUE, java.lang.Object(ARRAY(i6[4], a14630data[4])), i636[4], o8925[4], i1315[4], java.lang.Object(IntList(o9395[4], i1395[4])))≥LOAD5182(java.lang.Object(ARRAY(i6[4], a14630data[4])), i636[4], o8925[4], +(i1315[4], -1), o9395[4])∧(UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[5], a14630data[5])), i636[5], o8925[5], +(i1315[5], -1), o9395[5])), ≥))



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

    (93)    (0 ≥ 0 ⇒ (UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[5], a14630data[5])), i636[5], o8925[5], +(i1315[5], -1), o9395[5])), ≥)∧[(-1)bso_94] + o9395[4] ≥ 0)



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

    (94)    (0 ≥ 0 ⇒ (UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[5], a14630data[5])), i636[5], o8925[5], +(i1315[5], -1), o9395[5])), ≥)∧[(-1)bso_94] + o9395[4] ≥ 0)



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

    (95)    (0 ≥ 0 ⇒ (UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[5], a14630data[5])), i636[5], o8925[5], +(i1315[5], -1), o9395[5])), ≥)∧[(-1)bso_94] + o9395[4] ≥ 0)



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

    (96)    (0 ≥ 0 ⇒ (UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[5], a14630data[5])), i636[5], o8925[5], +(i1315[5], -1), o9395[5])), ≥)∧0 ≥ 0∧[1] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_94] ≥ 0)







For Pair LOAD5182(java.lang.Object(ARRAY(i6[4], a14630data[4])), i636[4], o8925[4], i1315[4], java.lang.Object(IntList(o9395[4], i1395[4]))) → COND_LOAD5182(>(i1315[4], 1), java.lang.Object(ARRAY(i6[4], a14630data[4])), i636[4], o8925[4], i1315[4], java.lang.Object(IntList(o9395[4], i1395[4]))) the following chains were created:
  • We consider the chain LOAD5182(java.lang.Object(ARRAY(i6[4], a14630data[4])), i636[4], o8925[4], i1315[4], java.lang.Object(IntList(o9395[4], i1395[4]))) → COND_LOAD5182(>(i1315[4], 1), java.lang.Object(ARRAY(i6[4], a14630data[4])), i636[4], o8925[4], i1315[4], java.lang.Object(IntList(o9395[4], i1395[4]))), COND_LOAD5182(TRUE, java.lang.Object(ARRAY(i6[5], a14630data[5])), i636[5], o8925[5], i1315[5], java.lang.Object(IntList(o9395[5], i1395[5]))) → LOAD5182(java.lang.Object(ARRAY(i6[5], a14630data[5])), i636[5], o8925[5], +(i1315[5], -1), o9395[5]) which results in the following constraint:

    (97)    (>(i1315[4], 1)=TRUEo9395[4]=o9395[5]i1395[4]=i1395[5]o8925[4]=o8925[5]i1315[4]=i1315[5]i636[4]=i636[5]i6[4]=i6[5]a14630data[4]=a14630data[5]LOAD5182(java.lang.Object(ARRAY(i6[4], a14630data[4])), i636[4], o8925[4], i1315[4], java.lang.Object(IntList(o9395[4], i1395[4])))≥COND_LOAD5182(>(i1315[4], 1), java.lang.Object(ARRAY(i6[4], a14630data[4])), i636[4], o8925[4], i1315[4], java.lang.Object(IntList(o9395[4], i1395[4])))∧(UIncreasing(COND_LOAD5182(>(i1315[4], 1), java.lang.Object(ARRAY(i6[4], a14630data[4])), i636[4], o8925[4], i1315[4], java.lang.Object(IntList(o9395[4], i1395[4])))), ≥))



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

    (98)    (>(i1315[4], 1)=TRUELOAD5182(java.lang.Object(ARRAY(i6[4], a14630data[4])), i636[4], o8925[4], i1315[4], java.lang.Object(IntList(o9395[4], i1395[4])))≥COND_LOAD5182(>(i1315[4], 1), java.lang.Object(ARRAY(i6[4], a14630data[4])), i636[4], o8925[4], i1315[4], java.lang.Object(IntList(o9395[4], i1395[4])))∧(UIncreasing(COND_LOAD5182(>(i1315[4], 1), java.lang.Object(ARRAY(i6[4], a14630data[4])), i636[4], o8925[4], i1315[4], java.lang.Object(IntList(o9395[4], i1395[4])))), ≥))



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

    (99)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD5182(>(i1315[4], 1), java.lang.Object(ARRAY(i6[4], a14630data[4])), i636[4], o8925[4], i1315[4], java.lang.Object(IntList(o9395[4], i1395[4])))), ≥)∧[1 + (-1)bso_95] ≥ 0)



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

    (100)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD5182(>(i1315[4], 1), java.lang.Object(ARRAY(i6[4], a14630data[4])), i636[4], o8925[4], i1315[4], java.lang.Object(IntList(o9395[4], i1395[4])))), ≥)∧[1 + (-1)bso_95] ≥ 0)



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

    (101)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD5182(>(i1315[4], 1), java.lang.Object(ARRAY(i6[4], a14630data[4])), i636[4], o8925[4], i1315[4], java.lang.Object(IntList(o9395[4], i1395[4])))), ≥)∧[1 + (-1)bso_95] ≥ 0)



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

    (102)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD5182(>(i1315[4], 1), java.lang.Object(ARRAY(i6[4], a14630data[4])), i636[4], o8925[4], i1315[4], java.lang.Object(IntList(o9395[4], i1395[4])))), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[1 + (-1)bso_95] ≥ 0)







For Pair COND_LOAD3666ARR1(TRUE, java.lang.Object(ARRAY(i6[2], a8555data[2])), i123[2], java.lang.Object(IntList(o5524[2], i503[2])), i500[2], java.lang.Object(java.lang.String(i801[2]))) → LOAD5182(java.lang.Object(ARRAY(i6[2], a8555data[2])), +(i123[2], 1), o5524[2], i801[2], o5524[2]) the following chains were created:
  • We consider the chain LOAD3666ARR1(java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1]))) → COND_LOAD3666ARR1(&&(&&(&&(>(i123[1], 0), <(i123[1], i6[1])), >(i500[1], 0)), >(+(i123[1], 1), 0)), java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1]))), COND_LOAD3666ARR1(TRUE, java.lang.Object(ARRAY(i6[2], a8555data[2])), i123[2], java.lang.Object(IntList(o5524[2], i503[2])), i500[2], java.lang.Object(java.lang.String(i801[2]))) → LOAD5182(java.lang.Object(ARRAY(i6[2], a8555data[2])), +(i123[2], 1), o5524[2], i801[2], o5524[2]) which results in the following constraint:

    (103)    (i801[1]=i801[2]&&(&&(&&(>(i123[1], 0), <(i123[1], i6[1])), >(i500[1], 0)), >(+(i123[1], 1), 0))=TRUEi6[1]=i6[2]a8555data[1]=a8555data[2]i123[1]=i123[2]i500[1]=i500[2]o5524[1]=o5524[2]i503[1]=i503[2]COND_LOAD3666ARR1(TRUE, java.lang.Object(ARRAY(i6[2], a8555data[2])), i123[2], java.lang.Object(IntList(o5524[2], i503[2])), i500[2], java.lang.Object(java.lang.String(i801[2])))≥LOAD5182(java.lang.Object(ARRAY(i6[2], a8555data[2])), +(i123[2], 1), o5524[2], i801[2], o5524[2])∧(UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[2], a8555data[2])), +(i123[2], 1), o5524[2], i801[2], o5524[2])), ≥))



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

    (104)    (&&(&&(&&(>(i123[1], 0), <(i123[1], i6[1])), >(i500[1], 0)), >(+(i123[1], 1), 0))=TRUECOND_LOAD3666ARR1(TRUE, java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1])))≥LOAD5182(java.lang.Object(ARRAY(i6[1], a8555data[1])), +(i123[1], 1), o5524[1], i801[1], o5524[1])∧(UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[2], a8555data[2])), +(i123[2], 1), o5524[2], i801[2], o5524[2])), ≥))



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

    (105)    (0 ≥ 0 ⇒ (UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[2], a8555data[2])), +(i123[2], 1), o5524[2], i801[2], o5524[2])), ≥)∧[(-1)bso_96] + i123[1] ≥ 0)



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

    (106)    (0 ≥ 0 ⇒ (UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[2], a8555data[2])), +(i123[2], 1), o5524[2], i801[2], o5524[2])), ≥)∧[(-1)bso_96] + i123[1] ≥ 0)



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

    (107)    (0 ≥ 0 ⇒ (UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[2], a8555data[2])), +(i123[2], 1), o5524[2], i801[2], o5524[2])), ≥)∧[(-1)bso_96] + i123[1] ≥ 0)



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

    (108)    (0 ≥ 0 ⇒ (UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[2], a8555data[2])), +(i123[2], 1), o5524[2], i801[2], o5524[2])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[1] ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_96] ≥ 0)







For Pair LOAD3666ARR1(java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1]))) → COND_LOAD3666ARR1(&&(&&(&&(>(i123[1], 0), <(i123[1], i6[1])), >(i500[1], 0)), >(+(i123[1], 1), 0)), java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1]))) the following chains were created:
  • We consider the chain LOAD3666ARR1(java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1]))) → COND_LOAD3666ARR1(&&(&&(&&(>(i123[1], 0), <(i123[1], i6[1])), >(i500[1], 0)), >(+(i123[1], 1), 0)), java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1]))), COND_LOAD3666ARR1(TRUE, java.lang.Object(ARRAY(i6[2], a8555data[2])), i123[2], java.lang.Object(IntList(o5524[2], i503[2])), i500[2], java.lang.Object(java.lang.String(i801[2]))) → LOAD5182(java.lang.Object(ARRAY(i6[2], a8555data[2])), +(i123[2], 1), o5524[2], i801[2], o5524[2]) which results in the following constraint:

    (109)    (i801[1]=i801[2]&&(&&(&&(>(i123[1], 0), <(i123[1], i6[1])), >(i500[1], 0)), >(+(i123[1], 1), 0))=TRUEi6[1]=i6[2]a8555data[1]=a8555data[2]i123[1]=i123[2]i500[1]=i500[2]o5524[1]=o5524[2]i503[1]=i503[2]LOAD3666ARR1(java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1])))≥COND_LOAD3666ARR1(&&(&&(&&(>(i123[1], 0), <(i123[1], i6[1])), >(i500[1], 0)), >(+(i123[1], 1), 0)), java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1])))∧(UIncreasing(COND_LOAD3666ARR1(&&(&&(&&(>(i123[1], 0), <(i123[1], i6[1])), >(i500[1], 0)), >(+(i123[1], 1), 0)), java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1])))), ≥))



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

    (110)    (&&(&&(&&(>(i123[1], 0), <(i123[1], i6[1])), >(i500[1], 0)), >(+(i123[1], 1), 0))=TRUELOAD3666ARR1(java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1])))≥COND_LOAD3666ARR1(&&(&&(&&(>(i123[1], 0), <(i123[1], i6[1])), >(i500[1], 0)), >(+(i123[1], 1), 0)), java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1])))∧(UIncreasing(COND_LOAD3666ARR1(&&(&&(&&(>(i123[1], 0), <(i123[1], i6[1])), >(i500[1], 0)), >(+(i123[1], 1), 0)), java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1])))), ≥))



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

    (111)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD3666ARR1(&&(&&(&&(>(i123[1], 0), <(i123[1], i6[1])), >(i500[1], 0)), >(+(i123[1], 1), 0)), java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1])))), ≥)∧[(-1)bso_97] ≥ 0)



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

    (112)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD3666ARR1(&&(&&(&&(>(i123[1], 0), <(i123[1], i6[1])), >(i500[1], 0)), >(+(i123[1], 1), 0)), java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1])))), ≥)∧[(-1)bso_97] ≥ 0)



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

    (113)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD3666ARR1(&&(&&(&&(>(i123[1], 0), <(i123[1], i6[1])), >(i500[1], 0)), >(+(i123[1], 1), 0)), java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1])))), ≥)∧[(-1)bso_97] ≥ 0)



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

    (114)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD3666ARR1(&&(&&(&&(>(i123[1], 0), <(i123[1], i6[1])), >(i500[1], 0)), >(+(i123[1], 1), 0)), java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1])))), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_97] ≥ 0)







For Pair LOAD3666(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0]) → LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0]))) the following chains were created:
  • We consider the chain RETURN5413(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], o8925[11], i1370[11]) → LOAD3666(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], o8925[11], i1370[11]), LOAD3666(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0]) → LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0]))), LOAD3666ARR1(java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1]))) → COND_LOAD3666ARR1(&&(&&(&&(>(i123[1], 0), <(i123[1], i6[1])), >(i500[1], 0)), >(+(i123[1], 1), 0)), java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1]))) which results in the following constraint:

    (115)    (i636[11]=i123[0]i1370[11]=i500[0]i6[11]=i6[0]a14630data[11]=a8555data[0]o8925[11]=java.lang.Object(IntList(o5524[0], i503[0]))∧i500[0]=i500[1]i6[0]=i6[1]a8555data[0]=a8555data[1]i123[0]=i123[1]o5524[0]=o5524[1]i503[0]=i503[1]i801[0]=i801[1]LOAD3666(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0])≥LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))∧(UIncreasing(LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))), ≥))



    We simplified constraint (115) using rules (III), (IV) which results in the following new constraint:

    (116)    (LOAD3666(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], java.lang.Object(IntList(o5524[0], i503[0])), i1370[11])≥LOAD3666ARR1(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], java.lang.Object(IntList(o5524[0], i503[0])), i1370[11], java.lang.Object(java.lang.String(i801[0])))∧(UIncreasing(LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))), ≥))



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

    (117)    ((UIncreasing(LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))), ≥)∧[1 + (-1)bso_98] ≥ 0)



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

    (118)    ((UIncreasing(LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))), ≥)∧[1 + (-1)bso_98] ≥ 0)



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

    (119)    ((UIncreasing(LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))), ≥)∧[1 + (-1)bso_98] ≥ 0)



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

    (120)    ((UIncreasing(LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[1 + (-1)bso_98] ≥ 0)



  • We consider the chain LOAD5214(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], o8925[12], java.lang.Object(IntList(o9251[12], i1370[12]))) → LOAD3666(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], o8925[12], i1370[12]), LOAD3666(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0]) → LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0]))), LOAD3666ARR1(java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1]))) → COND_LOAD3666ARR1(&&(&&(&&(>(i123[1], 0), <(i123[1], i6[1])), >(i500[1], 0)), >(+(i123[1], 1), 0)), java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1]))) which results in the following constraint:

    (121)    (o8925[12]=java.lang.Object(IntList(o5524[0], i503[0]))∧i636[12]=i123[0]i1370[12]=i500[0]i6[12]=i6[0]a14630data[12]=a8555data[0]i500[0]=i500[1]i6[0]=i6[1]a8555data[0]=a8555data[1]i123[0]=i123[1]o5524[0]=o5524[1]i503[0]=i503[1]i801[0]=i801[1]LOAD3666(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0])≥LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))∧(UIncreasing(LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))), ≥))



    We simplified constraint (121) using rules (III), (IV) which results in the following new constraint:

    (122)    (LOAD3666(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], java.lang.Object(IntList(o5524[0], i503[0])), i1370[12])≥LOAD3666ARR1(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], java.lang.Object(IntList(o5524[0], i503[0])), i1370[12], java.lang.Object(java.lang.String(i801[0])))∧(UIncreasing(LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))), ≥))



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

    (123)    ((UIncreasing(LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))), ≥)∧[1 + (-1)bso_98] ≥ 0)



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

    (124)    ((UIncreasing(LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))), ≥)∧[1 + (-1)bso_98] ≥ 0)



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

    (125)    ((UIncreasing(LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))), ≥)∧[1 + (-1)bso_98] ≥ 0)



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

    (126)    ((UIncreasing(LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[1 + (-1)bso_98] ≥ 0)



  • We consider the chain COND_LOAD51823(TRUE, java.lang.Object(ARRAY(i6[14], a14630data[14])), i636[14], o8925[14], i1314[14], java.lang.Object(IntList(o9251[14], i1370[14]))) → LOAD3666(java.lang.Object(ARRAY(i6[14], a14630data[14])), i636[14], o8925[14], i1370[14]), LOAD3666(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0]) → LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0]))), LOAD3666ARR1(java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1]))) → COND_LOAD3666ARR1(&&(&&(&&(>(i123[1], 0), <(i123[1], i6[1])), >(i500[1], 0)), >(+(i123[1], 1), 0)), java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1]))) which results in the following constraint:

    (127)    (i1370[14]=i500[0]o8925[14]=java.lang.Object(IntList(o5524[0], i503[0]))∧i636[14]=i123[0]i6[14]=i6[0]a14630data[14]=a8555data[0]i500[0]=i500[1]i6[0]=i6[1]a8555data[0]=a8555data[1]i123[0]=i123[1]o5524[0]=o5524[1]i503[0]=i503[1]i801[0]=i801[1]LOAD3666(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0])≥LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))∧(UIncreasing(LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))), ≥))



    We simplified constraint (127) using rules (III), (IV) which results in the following new constraint:

    (128)    (LOAD3666(java.lang.Object(ARRAY(i6[14], a14630data[14])), i636[14], java.lang.Object(IntList(o5524[0], i503[0])), i1370[14])≥LOAD3666ARR1(java.lang.Object(ARRAY(i6[14], a14630data[14])), i636[14], java.lang.Object(IntList(o5524[0], i503[0])), i1370[14], java.lang.Object(java.lang.String(i801[0])))∧(UIncreasing(LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))), ≥))



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

    (129)    ((UIncreasing(LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))), ≥)∧[1 + (-1)bso_98] ≥ 0)



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

    (130)    ((UIncreasing(LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))), ≥)∧[1 + (-1)bso_98] ≥ 0)



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

    (131)    ((UIncreasing(LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))), ≥)∧[1 + (-1)bso_98] ≥ 0)



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

    (132)    ((UIncreasing(LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[1 + (-1)bso_98] ≥ 0)







For Pair RETURN5413(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], o8925[11], i1370[11]) → LOAD3666(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], o8925[11], i1370[11]) the following chains were created:
  • We consider the chain RETURN5413(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], o8925[11], i1370[11]) → LOAD3666(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], o8925[11], i1370[11]), LOAD3666(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0]) → LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0]))) which results in the following constraint:

    (133)    (i636[11]=i123[0]i1370[11]=i500[0]i6[11]=i6[0]a14630data[11]=a8555data[0]o8925[11]=java.lang.Object(IntList(o5524[0], i503[0])) ⇒ RETURN5413(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], o8925[11], i1370[11])≥LOAD3666(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], o8925[11], i1370[11])∧(UIncreasing(LOAD3666(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], o8925[11], i1370[11])), ≥))



    We simplified constraint (133) using rules (III), (IV) which results in the following new constraint:

    (134)    (RETURN5413(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], java.lang.Object(IntList(o5524[0], i503[0])), i1370[11])≥LOAD3666(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], java.lang.Object(IntList(o5524[0], i503[0])), i1370[11])∧(UIncreasing(LOAD3666(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], o8925[11], i1370[11])), ≥))



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

    (135)    ((UIncreasing(LOAD3666(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], o8925[11], i1370[11])), ≥)∧[(-1)bso_99] ≥ 0)



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

    (136)    ((UIncreasing(LOAD3666(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], o8925[11], i1370[11])), ≥)∧[(-1)bso_99] ≥ 0)



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

    (137)    ((UIncreasing(LOAD3666(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], o8925[11], i1370[11])), ≥)∧[(-1)bso_99] ≥ 0)



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

    (138)    ((UIncreasing(LOAD3666(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], o8925[11], i1370[11])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_99] ≥ 0)







For Pair COND_LOAD51826(TRUE, java.lang.Object(ARRAY(i6[22], a14630data[22])), i636[22], i1314[22], java.lang.Object(IntList(o9257[22], i1372[22]))) → RETURN5413(java.lang.Object(ARRAY(i6[22], a14630data[22])), i636[22], java.lang.Object(IntList(o9257[22], i1372[22])), i1372[22]) the following chains were created:
  • We consider the chain LOAD5182(java.lang.Object(ARRAY(i6[21], a14630data[21])), i636[21], java.lang.Object(IntList(o9257[21], i1372[21])), i1314[21], java.lang.Object(IntList(o9257[21], i1372[21]))) → COND_LOAD51826(<=(i1314[21], 1), java.lang.Object(ARRAY(i6[21], a14630data[21])), i636[21], i1314[21], java.lang.Object(IntList(o9257[21], i1372[21]))), COND_LOAD51826(TRUE, java.lang.Object(ARRAY(i6[22], a14630data[22])), i636[22], i1314[22], java.lang.Object(IntList(o9257[22], i1372[22]))) → RETURN5413(java.lang.Object(ARRAY(i6[22], a14630data[22])), i636[22], java.lang.Object(IntList(o9257[22], i1372[22])), i1372[22]), RETURN5413(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], o8925[11], i1370[11]) → LOAD3666(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], o8925[11], i1370[11]) which results in the following constraint:

    (139)    (o9257[21]=o9257[22]i1372[21]=i1372[22]i1314[21]=i1314[22]i6[21]=i6[22]a14630data[21]=a14630data[22]i636[21]=i636[22]<=(i1314[21], 1)=TRUEi1372[22]=i1370[11]i636[22]=i636[11]java.lang.Object(IntList(o9257[22], i1372[22]))=o8925[11]i6[22]=i6[11]a14630data[22]=a14630data[11]COND_LOAD51826(TRUE, java.lang.Object(ARRAY(i6[22], a14630data[22])), i636[22], i1314[22], java.lang.Object(IntList(o9257[22], i1372[22])))≥RETURN5413(java.lang.Object(ARRAY(i6[22], a14630data[22])), i636[22], java.lang.Object(IntList(o9257[22], i1372[22])), i1372[22])∧(UIncreasing(RETURN5413(java.lang.Object(ARRAY(i6[22], a14630data[22])), i636[22], java.lang.Object(IntList(o9257[22], i1372[22])), i1372[22])), ≥))



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

    (140)    (<=(i1314[21], 1)=TRUECOND_LOAD51826(TRUE, java.lang.Object(ARRAY(i6[21], a14630data[21])), i636[21], i1314[21], java.lang.Object(IntList(o9257[21], i1372[21])))≥RETURN5413(java.lang.Object(ARRAY(i6[21], a14630data[21])), i636[21], java.lang.Object(IntList(o9257[21], i1372[21])), i1372[21])∧(UIncreasing(RETURN5413(java.lang.Object(ARRAY(i6[22], a14630data[22])), i636[22], java.lang.Object(IntList(o9257[22], i1372[22])), i1372[22])), ≥))



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

    (141)    (0 ≥ 0 ⇒ (UIncreasing(RETURN5413(java.lang.Object(ARRAY(i6[22], a14630data[22])), i636[22], java.lang.Object(IntList(o9257[22], i1372[22])), i1372[22])), ≥)∧[(-1)bso_100] ≥ 0)



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

    (142)    (0 ≥ 0 ⇒ (UIncreasing(RETURN5413(java.lang.Object(ARRAY(i6[22], a14630data[22])), i636[22], java.lang.Object(IntList(o9257[22], i1372[22])), i1372[22])), ≥)∧[(-1)bso_100] ≥ 0)



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

    (143)    (0 ≥ 0 ⇒ (UIncreasing(RETURN5413(java.lang.Object(ARRAY(i6[22], a14630data[22])), i636[22], java.lang.Object(IntList(o9257[22], i1372[22])), i1372[22])), ≥)∧[(-1)bso_100] ≥ 0)



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

    (144)    (0 ≥ 0 ⇒ (UIncreasing(RETURN5413(java.lang.Object(ARRAY(i6[22], a14630data[22])), i636[22], java.lang.Object(IntList(o9257[22], i1372[22])), i1372[22])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_100] ≥ 0)







To summarize, we get the following constraints P for the following pairs.
  • LOAD5182(java.lang.Object(ARRAY(i6[21], a14630data[21])), i636[21], java.lang.Object(IntList(o9257[21], i1372[21])), i1314[21], java.lang.Object(IntList(o9257[21], i1372[21]))) → COND_LOAD51826(<=(i1314[21], 1), java.lang.Object(ARRAY(i6[21], a14630data[21])), i636[21], i1314[21], java.lang.Object(IntList(o9257[21], i1372[21])))
    • (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD51826(<=(i1314[21], 1), java.lang.Object(ARRAY(i6[21], a14630data[21])), i636[21], i1314[21], java.lang.Object(IntList(o9257[21], i1372[21])))), ≥)∧0 ≥ 0∧0 ≥ 0∧[1] ≥ 0∧0 ≥ 0∧0 ≥ 0∧[1 + (-1)bso_84] ≥ 0∧[1] ≥ 0)

  • JMP5555'(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3]) → LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])
    • ((UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[1 + (-1)bso_85] ≥ 0)
    • ((UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[1 + (-1)bso_85] ≥ 0)
    • ((UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[1 + (-1)bso_85] ≥ 0)
    • ((UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[1 + (-1)bso_85] ≥ 0)
    • ((UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[1 + (-1)bso_85] ≥ 0)

  • COND_LOAD51824(TRUE, java.lang.Object(ARRAY(i6[16], a14630data[16])), i636[16], i1315[16], java.lang.Object(IntList(o9408[16], i1398[16]))) → JMP5555'(java.lang.Object(ARRAY(i6[16], a14630data[16])), i636[16], java.lang.Object(IntList(o9408[16], i1398[16])), +(i1315[16], -1), o9408[16])
    • (0 ≥ 0 ⇒ (UIncreasing(JMP5555'(java.lang.Object(ARRAY(i6[16], a14630data[16])), i636[16], java.lang.Object(IntList(o9408[16], i1398[16])), +(i1315[16], -1), o9408[16])), ≥)∧0 ≥ 0∧[1] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_86] ≥ 0)

  • LOAD5182(java.lang.Object(ARRAY(i6[15], a14630data[15])), i636[15], java.lang.Object(IntList(o9408[15], i1398[15])), i1315[15], java.lang.Object(IntList(o9408[15], i1398[15]))) → COND_LOAD51824(>(i1315[15], 1), java.lang.Object(ARRAY(i6[15], a14630data[15])), i636[15], i1315[15], java.lang.Object(IntList(o9408[15], i1398[15])))
    • (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD51824(>(i1315[15], 1), java.lang.Object(ARRAY(i6[15], a14630data[15])), i636[15], i1315[15], java.lang.Object(IntList(o9408[15], i1398[15])))), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_87] ≥ 0)

  • COND_LOAD51823(TRUE, java.lang.Object(ARRAY(i6[14], a14630data[14])), i636[14], o8925[14], i1314[14], java.lang.Object(IntList(o9251[14], i1370[14]))) → LOAD3666(java.lang.Object(ARRAY(i6[14], a14630data[14])), i636[14], o8925[14], i1370[14])
    • (0 ≥ 0 ⇒ (UIncreasing(LOAD3666(java.lang.Object(ARRAY(i6[14], a14630data[14])), i636[14], o8925[14], i1370[14])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[1 + (-1)bso_88] ≥ 0)

  • LOAD5182(java.lang.Object(ARRAY(i6[13], a14630data[13])), i636[13], o8925[13], i1314[13], java.lang.Object(IntList(o9251[13], i1370[13]))) → COND_LOAD51823(<=(i1314[13], 1), java.lang.Object(ARRAY(i6[13], a14630data[13])), i636[13], o8925[13], i1314[13], java.lang.Object(IntList(o9251[13], i1370[13])))
    • (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD51823(<=(i1314[13], 1), java.lang.Object(ARRAY(i6[13], a14630data[13])), i636[13], o8925[13], i1314[13], java.lang.Object(IntList(o9251[13], i1370[13])))), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[1] ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_89] ≥ 0∧[1] ≥ 0)

  • LOAD5214(java.lang.Object(ARRAY(i6[20], a14630data[20])), i636[20], java.lang.Object(IntList(o9257[20], i1372[20])), java.lang.Object(IntList(o9257[20], i1372[20]))) → RETURN5413(java.lang.Object(ARRAY(i6[20], a14630data[20])), i636[20], java.lang.Object(IntList(o9257[20], i1372[20])), i1372[20])
    • ((UIncreasing(RETURN5413(java.lang.Object(ARRAY(i6[20], a14630data[20])), i636[20], java.lang.Object(IntList(o9257[20], i1372[20])), i1372[20])), ≥)∧0 ≥ 0∧[1] ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_90] ≥ 0∧[1] ≥ 0)

  • LOAD5214(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], o8925[12], java.lang.Object(IntList(o9251[12], i1370[12]))) → LOAD3666(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], o8925[12], i1370[12])
    • ((UIncreasing(LOAD3666(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], o8925[12], i1370[12])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[1] ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_91] ≥ 0∧[1] ≥ 0)

  • COND_LOAD51821(TRUE, java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], i1315[7], o8924[7]) → LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7])
    • ((UIncreasing(LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_92] ≥ 0)
    • ((UIncreasing(LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_92] ≥ 0)

  • LOAD5182(java.lang.Object(ARRAY(i6[6], a14630data[6])), i636[6], o8925[6], i1315[6], o8924[6]) → COND_LOAD51821(&&(>(i1315[6], 0), <=(i1315[6], 1)), java.lang.Object(ARRAY(i6[6], a14630data[6])), i636[6], o8925[6], i1315[6], o8924[6])
    • (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD51821(&&(>(i1315[6], 0), <=(i1315[6], 1)), java.lang.Object(ARRAY(i6[6], a14630data[6])), i636[6], o8925[6], i1315[6], o8924[6])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[1 + (-1)bso_93] ≥ 0)

  • COND_LOAD5182(TRUE, java.lang.Object(ARRAY(i6[5], a14630data[5])), i636[5], o8925[5], i1315[5], java.lang.Object(IntList(o9395[5], i1395[5]))) → LOAD5182(java.lang.Object(ARRAY(i6[5], a14630data[5])), i636[5], o8925[5], +(i1315[5], -1), o9395[5])
    • (0 ≥ 0 ⇒ (UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[5], a14630data[5])), i636[5], o8925[5], +(i1315[5], -1), o9395[5])), ≥)∧0 ≥ 0∧[1] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_94] ≥ 0)

  • LOAD5182(java.lang.Object(ARRAY(i6[4], a14630data[4])), i636[4], o8925[4], i1315[4], java.lang.Object(IntList(o9395[4], i1395[4]))) → COND_LOAD5182(>(i1315[4], 1), java.lang.Object(ARRAY(i6[4], a14630data[4])), i636[4], o8925[4], i1315[4], java.lang.Object(IntList(o9395[4], i1395[4])))
    • (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD5182(>(i1315[4], 1), java.lang.Object(ARRAY(i6[4], a14630data[4])), i636[4], o8925[4], i1315[4], java.lang.Object(IntList(o9395[4], i1395[4])))), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[1 + (-1)bso_95] ≥ 0)

  • COND_LOAD3666ARR1(TRUE, java.lang.Object(ARRAY(i6[2], a8555data[2])), i123[2], java.lang.Object(IntList(o5524[2], i503[2])), i500[2], java.lang.Object(java.lang.String(i801[2]))) → LOAD5182(java.lang.Object(ARRAY(i6[2], a8555data[2])), +(i123[2], 1), o5524[2], i801[2], o5524[2])
    • (0 ≥ 0 ⇒ (UIncreasing(LOAD5182(java.lang.Object(ARRAY(i6[2], a8555data[2])), +(i123[2], 1), o5524[2], i801[2], o5524[2])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[1] ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_96] ≥ 0)

  • LOAD3666ARR1(java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1]))) → COND_LOAD3666ARR1(&&(&&(&&(>(i123[1], 0), <(i123[1], i6[1])), >(i500[1], 0)), >(+(i123[1], 1), 0)), java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1])))
    • (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD3666ARR1(&&(&&(&&(>(i123[1], 0), <(i123[1], i6[1])), >(i500[1], 0)), >(+(i123[1], 1), 0)), java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1])))), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_97] ≥ 0)

  • LOAD3666(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0]) → LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))
    • ((UIncreasing(LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[1 + (-1)bso_98] ≥ 0)
    • ((UIncreasing(LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[1 + (-1)bso_98] ≥ 0)
    • ((UIncreasing(LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[1 + (-1)bso_98] ≥ 0)

  • RETURN5413(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], o8925[11], i1370[11]) → LOAD3666(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], o8925[11], i1370[11])
    • ((UIncreasing(LOAD3666(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], o8925[11], i1370[11])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_99] ≥ 0)

  • COND_LOAD51826(TRUE, java.lang.Object(ARRAY(i6[22], a14630data[22])), i636[22], i1314[22], java.lang.Object(IntList(o9257[22], i1372[22]))) → RETURN5413(java.lang.Object(ARRAY(i6[22], a14630data[22])), i636[22], java.lang.Object(IntList(o9257[22], i1372[22])), i1372[22])
    • (0 ≥ 0 ⇒ (UIncreasing(RETURN5413(java.lang.Object(ARRAY(i6[22], a14630data[22])), i636[22], java.lang.Object(IntList(o9257[22], i1372[22])), i1372[22])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-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 with natural coefficients for all symbols [NONINF][POLO]:

POL(TRUE) = 0   
POL(FALSE) = 0   
POL(LOAD5182(x1, x2, x3, x4, x5)) = x5 + x3 + [2]x2 + x1   
POL(java.lang.Object(x1)) = x1   
POL(ARRAY(x1, x2)) = [1]   
POL(IntList(x1, x2)) = [1] + [2]x1   
POL(COND_LOAD51826(x1, x2, x3, x4, x5)) = x5 + x3 + x2   
POL(<=(x1, x2)) = 0   
POL(1) = 0   
POL(JMP5555'(x1, x2, x3, x4, x5)) = [2] + x5 + x3 + [2]x2   
POL(COND_LOAD51824(x1, x2, x3, x4, x5)) = [2]x5 + [2]x3 + x2   
POL(+(x1, x2)) = 0   
POL(-1) = 0   
POL(>(x1, x2)) = 0   
POL(COND_LOAD51823(x1, x2, x3, x4, x5, x6)) = [2] + x4 + x3   
POL(LOAD3666(x1, x2, x3, x4)) = x3 + x2 + x1   
POL(LOAD5214(x1, x2, x3, x4)) = x4 + x3 + [2]x2   
POL(RETURN5413(x1, x2, x3, x4)) = [1] + x3 + x2   
POL(COND_LOAD51821(x1, x2, x3, x4, x5, x6)) = x6 + x4 + [2]x3 + x1   
POL(&&(x1, x2)) = 0   
POL(0) = 0   
POL(COND_LOAD5182(x1, x2, x3, x4, x5, x6)) = x6 + x4 + [2]x3   
POL(COND_LOAD3666ARR1(x1, x2, x3, x4, x5, x6)) = x4 + x3   
POL(java.lang.String(x1)) = 0   
POL(LOAD3666ARR1(x1, x2, x3, x4, x5)) = x3 + x2   
POL(<(x1, x2)) = 0   

The following pairs are in P>:

LOAD5182(java.lang.Object(ARRAY(i6[21], a14630data[21])), i636[21], java.lang.Object(IntList(o9257[21], i1372[21])), i1314[21], java.lang.Object(IntList(o9257[21], i1372[21]))) → COND_LOAD51826(<=(i1314[21], 1), java.lang.Object(ARRAY(i6[21], a14630data[21])), i636[21], i1314[21], java.lang.Object(IntList(o9257[21], i1372[21])))
JMP5555'(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3]) → LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])
COND_LOAD51823(TRUE, java.lang.Object(ARRAY(i6[14], a14630data[14])), i636[14], o8925[14], i1314[14], java.lang.Object(IntList(o9251[14], i1370[14]))) → LOAD3666(java.lang.Object(ARRAY(i6[14], a14630data[14])), i636[14], o8925[14], i1370[14])
LOAD5182(java.lang.Object(ARRAY(i6[6], a14630data[6])), i636[6], o8925[6], i1315[6], o8924[6]) → COND_LOAD51821(&&(>(i1315[6], 0), <=(i1315[6], 1)), java.lang.Object(ARRAY(i6[6], a14630data[6])), i636[6], o8925[6], i1315[6], o8924[6])
LOAD5182(java.lang.Object(ARRAY(i6[4], a14630data[4])), i636[4], o8925[4], i1315[4], java.lang.Object(IntList(o9395[4], i1395[4]))) → COND_LOAD5182(>(i1315[4], 1), java.lang.Object(ARRAY(i6[4], a14630data[4])), i636[4], o8925[4], i1315[4], java.lang.Object(IntList(o9395[4], i1395[4])))
LOAD3666(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0]) → LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))

The following pairs are in Pbound:

LOAD5182(java.lang.Object(ARRAY(i6[21], a14630data[21])), i636[21], java.lang.Object(IntList(o9257[21], i1372[21])), i1314[21], java.lang.Object(IntList(o9257[21], i1372[21]))) → COND_LOAD51826(<=(i1314[21], 1), java.lang.Object(ARRAY(i6[21], a14630data[21])), i636[21], i1314[21], java.lang.Object(IntList(o9257[21], i1372[21])))
JMP5555'(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3]) → LOAD5182(java.lang.Object(ARRAY(i6[3], a14630data[3])), i636[3], o8925[3], i1365[3], o9395[3])
COND_LOAD51824(TRUE, java.lang.Object(ARRAY(i6[16], a14630data[16])), i636[16], i1315[16], java.lang.Object(IntList(o9408[16], i1398[16]))) → JMP5555'(java.lang.Object(ARRAY(i6[16], a14630data[16])), i636[16], java.lang.Object(IntList(o9408[16], i1398[16])), +(i1315[16], -1), o9408[16])
LOAD5182(java.lang.Object(ARRAY(i6[15], a14630data[15])), i636[15], java.lang.Object(IntList(o9408[15], i1398[15])), i1315[15], java.lang.Object(IntList(o9408[15], i1398[15]))) → COND_LOAD51824(>(i1315[15], 1), java.lang.Object(ARRAY(i6[15], a14630data[15])), i636[15], i1315[15], java.lang.Object(IntList(o9408[15], i1398[15])))
COND_LOAD51823(TRUE, java.lang.Object(ARRAY(i6[14], a14630data[14])), i636[14], o8925[14], i1314[14], java.lang.Object(IntList(o9251[14], i1370[14]))) → LOAD3666(java.lang.Object(ARRAY(i6[14], a14630data[14])), i636[14], o8925[14], i1370[14])
LOAD5182(java.lang.Object(ARRAY(i6[13], a14630data[13])), i636[13], o8925[13], i1314[13], java.lang.Object(IntList(o9251[13], i1370[13]))) → COND_LOAD51823(<=(i1314[13], 1), java.lang.Object(ARRAY(i6[13], a14630data[13])), i636[13], o8925[13], i1314[13], java.lang.Object(IntList(o9251[13], i1370[13])))
LOAD5214(java.lang.Object(ARRAY(i6[20], a14630data[20])), i636[20], java.lang.Object(IntList(o9257[20], i1372[20])), java.lang.Object(IntList(o9257[20], i1372[20]))) → RETURN5413(java.lang.Object(ARRAY(i6[20], a14630data[20])), i636[20], java.lang.Object(IntList(o9257[20], i1372[20])), i1372[20])
LOAD5214(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], o8925[12], java.lang.Object(IntList(o9251[12], i1370[12]))) → LOAD3666(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], o8925[12], i1370[12])
COND_LOAD51821(TRUE, java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], i1315[7], o8924[7]) → LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7])
LOAD5182(java.lang.Object(ARRAY(i6[6], a14630data[6])), i636[6], o8925[6], i1315[6], o8924[6]) → COND_LOAD51821(&&(>(i1315[6], 0), <=(i1315[6], 1)), java.lang.Object(ARRAY(i6[6], a14630data[6])), i636[6], o8925[6], i1315[6], o8924[6])
COND_LOAD5182(TRUE, java.lang.Object(ARRAY(i6[5], a14630data[5])), i636[5], o8925[5], i1315[5], java.lang.Object(IntList(o9395[5], i1395[5]))) → LOAD5182(java.lang.Object(ARRAY(i6[5], a14630data[5])), i636[5], o8925[5], +(i1315[5], -1), o9395[5])
LOAD5182(java.lang.Object(ARRAY(i6[4], a14630data[4])), i636[4], o8925[4], i1315[4], java.lang.Object(IntList(o9395[4], i1395[4]))) → COND_LOAD5182(>(i1315[4], 1), java.lang.Object(ARRAY(i6[4], a14630data[4])), i636[4], o8925[4], i1315[4], java.lang.Object(IntList(o9395[4], i1395[4])))
COND_LOAD3666ARR1(TRUE, java.lang.Object(ARRAY(i6[2], a8555data[2])), i123[2], java.lang.Object(IntList(o5524[2], i503[2])), i500[2], java.lang.Object(java.lang.String(i801[2]))) → LOAD5182(java.lang.Object(ARRAY(i6[2], a8555data[2])), +(i123[2], 1), o5524[2], i801[2], o5524[2])
LOAD3666ARR1(java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1]))) → COND_LOAD3666ARR1(&&(&&(&&(>(i123[1], 0), <(i123[1], i6[1])), >(i500[1], 0)), >(+(i123[1], 1), 0)), java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1])))
LOAD3666(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0]) → LOAD3666ARR1(java.lang.Object(ARRAY(i6[0], a8555data[0])), i123[0], java.lang.Object(IntList(o5524[0], i503[0])), i500[0], java.lang.Object(java.lang.String(i801[0])))
RETURN5413(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], o8925[11], i1370[11]) → LOAD3666(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], o8925[11], i1370[11])
COND_LOAD51826(TRUE, java.lang.Object(ARRAY(i6[22], a14630data[22])), i636[22], i1314[22], java.lang.Object(IntList(o9257[22], i1372[22]))) → RETURN5413(java.lang.Object(ARRAY(i6[22], a14630data[22])), i636[22], java.lang.Object(IntList(o9257[22], i1372[22])), i1372[22])

The following pairs are in P:

COND_LOAD51824(TRUE, java.lang.Object(ARRAY(i6[16], a14630data[16])), i636[16], i1315[16], java.lang.Object(IntList(o9408[16], i1398[16]))) → JMP5555'(java.lang.Object(ARRAY(i6[16], a14630data[16])), i636[16], java.lang.Object(IntList(o9408[16], i1398[16])), +(i1315[16], -1), o9408[16])
LOAD5182(java.lang.Object(ARRAY(i6[15], a14630data[15])), i636[15], java.lang.Object(IntList(o9408[15], i1398[15])), i1315[15], java.lang.Object(IntList(o9408[15], i1398[15]))) → COND_LOAD51824(>(i1315[15], 1), java.lang.Object(ARRAY(i6[15], a14630data[15])), i636[15], i1315[15], java.lang.Object(IntList(o9408[15], i1398[15])))
LOAD5182(java.lang.Object(ARRAY(i6[13], a14630data[13])), i636[13], o8925[13], i1314[13], java.lang.Object(IntList(o9251[13], i1370[13]))) → COND_LOAD51823(<=(i1314[13], 1), java.lang.Object(ARRAY(i6[13], a14630data[13])), i636[13], o8925[13], i1314[13], java.lang.Object(IntList(o9251[13], i1370[13])))
LOAD5214(java.lang.Object(ARRAY(i6[20], a14630data[20])), i636[20], java.lang.Object(IntList(o9257[20], i1372[20])), java.lang.Object(IntList(o9257[20], i1372[20]))) → RETURN5413(java.lang.Object(ARRAY(i6[20], a14630data[20])), i636[20], java.lang.Object(IntList(o9257[20], i1372[20])), i1372[20])
LOAD5214(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], o8925[12], java.lang.Object(IntList(o9251[12], i1370[12]))) → LOAD3666(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], o8925[12], i1370[12])
COND_LOAD51821(TRUE, java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], i1315[7], o8924[7]) → LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7])
COND_LOAD5182(TRUE, java.lang.Object(ARRAY(i6[5], a14630data[5])), i636[5], o8925[5], i1315[5], java.lang.Object(IntList(o9395[5], i1395[5]))) → LOAD5182(java.lang.Object(ARRAY(i6[5], a14630data[5])), i636[5], o8925[5], +(i1315[5], -1), o9395[5])
COND_LOAD3666ARR1(TRUE, java.lang.Object(ARRAY(i6[2], a8555data[2])), i123[2], java.lang.Object(IntList(o5524[2], i503[2])), i500[2], java.lang.Object(java.lang.String(i801[2]))) → LOAD5182(java.lang.Object(ARRAY(i6[2], a8555data[2])), +(i123[2], 1), o5524[2], i801[2], o5524[2])
LOAD3666ARR1(java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1]))) → COND_LOAD3666ARR1(&&(&&(&&(>(i123[1], 0), <(i123[1], i6[1])), >(i500[1], 0)), >(+(i123[1], 1), 0)), java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1])))
RETURN5413(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], o8925[11], i1370[11]) → LOAD3666(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], o8925[11], i1370[11])
COND_LOAD51826(TRUE, java.lang.Object(ARRAY(i6[22], a14630data[22])), i636[22], i1314[22], java.lang.Object(IntList(o9257[22], i1372[22]))) → RETURN5413(java.lang.Object(ARRAY(i6[22], a14630data[22])), i636[22], java.lang.Object(IntList(o9257[22], i1372[22])), i1372[22])

At least the following rules have been oriented under context sensitive arithmetic replacement:

&&(TRUE, TRUE)1TRUE1
&&(TRUE, FALSE)1FALSE1
&&(FALSE, TRUE)1FALSE1
&&(FALSE, FALSE)1FALSE1

(27) Complex Obligation (AND)

(28) Obligation:

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


The following domains are used:

Integer, Boolean


R is empty.

The integer pair graph contains the following rules and edges:
(16): COND_LOAD51824(TRUE, java.lang.Object(ARRAY(i6[16], a14630data[16])), i636[16], i1315[16], java.lang.Object(IntList(o9408[16], i1398[16]))) → JMP5555'(java.lang.Object(ARRAY(i6[16], a14630data[16])), i636[16], java.lang.Object(IntList(o9408[16], i1398[16])), i1315[16] + -1, o9408[16])
(15): LOAD5182(java.lang.Object(ARRAY(i6[15], a14630data[15])), i636[15], java.lang.Object(IntList(o9408[15], i1398[15])), i1315[15], java.lang.Object(IntList(o9408[15], i1398[15]))) → COND_LOAD51824(i1315[15] > 1, java.lang.Object(ARRAY(i6[15], a14630data[15])), i636[15], i1315[15], java.lang.Object(IntList(o9408[15], i1398[15])))
(13): LOAD5182(java.lang.Object(ARRAY(i6[13], a14630data[13])), i636[13], o8925[13], i1314[13], java.lang.Object(IntList(o9251[13], i1370[13]))) → COND_LOAD51823(i1314[13] <= 1, java.lang.Object(ARRAY(i6[13], a14630data[13])), i636[13], o8925[13], i1314[13], java.lang.Object(IntList(o9251[13], i1370[13])))
(20): LOAD5214(java.lang.Object(ARRAY(i6[20], a14630data[20])), i636[20], java.lang.Object(IntList(o9257[20], i1372[20])), java.lang.Object(IntList(o9257[20], i1372[20]))) → RETURN5413(java.lang.Object(ARRAY(i6[20], a14630data[20])), i636[20], java.lang.Object(IntList(o9257[20], i1372[20])), i1372[20])
(12): LOAD5214(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], o8925[12], java.lang.Object(IntList(o9251[12], i1370[12]))) → LOAD3666(java.lang.Object(ARRAY(i6[12], a14630data[12])), i636[12], o8925[12], i1370[12])
(7): COND_LOAD51821(TRUE, java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], i1315[7], o8924[7]) → LOAD5214(java.lang.Object(ARRAY(i6[7], a14630data[7])), i636[7], o8925[7], o8924[7])
(5): COND_LOAD5182(TRUE, java.lang.Object(ARRAY(i6[5], a14630data[5])), i636[5], o8925[5], i1315[5], java.lang.Object(IntList(o9395[5], i1395[5]))) → LOAD5182(java.lang.Object(ARRAY(i6[5], a14630data[5])), i636[5], o8925[5], i1315[5] + -1, o9395[5])
(2): COND_LOAD3666ARR1(TRUE, java.lang.Object(ARRAY(i6[2], a8555data[2])), i123[2], java.lang.Object(IntList(o5524[2], i503[2])), i500[2], java.lang.Object(java.lang.String(i801[2]))) → LOAD5182(java.lang.Object(ARRAY(i6[2], a8555data[2])), i123[2] + 1, o5524[2], i801[2], o5524[2])
(1): LOAD3666ARR1(java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1]))) → COND_LOAD3666ARR1(i123[1] > 0 && i123[1] < i6[1] && i500[1] > 0 && i123[1] + 1 > 0, java.lang.Object(ARRAY(i6[1], a8555data[1])), i123[1], java.lang.Object(IntList(o5524[1], i503[1])), i500[1], java.lang.Object(java.lang.String(i801[1])))
(11): RETURN5413(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], o8925[11], i1370[11]) → LOAD3666(java.lang.Object(ARRAY(i6[11], a14630data[11])), i636[11], o8925[11], i1370[11])
(22): COND_LOAD51826(TRUE, java.lang.Object(ARRAY(i6[22], a14630data[22])), i636[22], i1314[22], java.lang.Object(IntList(o9257[22], i1372[22]))) → RETURN5413(java.lang.Object(ARRAY(i6[22], a14630data[22])), i636[22], java.lang.Object(IntList(o9257[22], i1372[22])), i1372[22])

(1) -> (2), if (((i801[1]* i801[2]))∧(i123[1] > 0 && i123[1] < i6[1] && i500[1] > 0 && i123[1] + 1 > 0* TRUE)∧((i6[1]* i6[2])∧(a8555data[1]* a8555data[2]))∧(i123[1]* i123[2])∧(i500[1]* i500[2])∧((o5524[1]* o5524[2])∧(i503[1]* i503[2])))


(20) -> (11), if (((i6[20]* i6[11])∧(a14630data[20]* a14630data[11]))∧(i1372[20]* i1370[11])∧(java.lang.Object(IntList(o9257[20], i1372[20])) →* o8925[11])∧(i636[20]* i636[11]))


(22) -> (11), if ((i1372[22]* i1370[11])∧(i636[22]* i636[11])∧(java.lang.Object(IntList(o9257[22], i1372[22])) →* o8925[11])∧((i6[22]* i6[11])∧(a14630data[22]* a14630data[11])))


(7) -> (12), if ((o8924[7]* java.lang.Object(IntList(o9251[12], i1370[12])))∧((i6[7]* i6[12])∧(a14630data[7]* a14630data[12]))∧(o8925[7]* o8925[12])∧(i636[7]* i636[12]))


(2) -> (13), if ((o5524[2]* java.lang.Object(IntList(o9251[13], i1370[13])))∧(i801[2]* i1314[13])∧(o5524[2]* o8925[13])∧((i6[2]* i6[13])∧(a8555data[2]* a14630data[13]))∧(i123[2] + 1* i636[13]))


(5) -> (13), if ((i1315[5] + -1* i1314[13])∧(o9395[5]* java.lang.Object(IntList(o9251[13], i1370[13])))∧(o8925[5]* o8925[13])∧((i6[5]* i6[13])∧(a14630data[5]* a14630data[13]))∧(i636[5]* i636[13]))


(2) -> (15), if ((i123[2] + 1* i636[15])∧((i6[2]* i6[15])∧(a8555data[2]* a14630data[15]))∧(i801[2]* i1315[15])∧(o5524[2]* java.lang.Object(IntList(o9408[15], i1398[15]))))


(5) -> (15), if (((i6[5]* i6[15])∧(a14630data[5]* a14630data[15]))∧(o9395[5]* java.lang.Object(IntList(o9408[15], i1398[15])))∧(o8925[5]* java.lang.Object(IntList(o9408[15], i1398[15])))∧(i636[5]* i636[15])∧(i1315[5] + -1* i1315[15]))


(15) -> (16), if (((o9408[15]* o9408[16])∧(i1398[15]* i1398[16]))∧((i6[15]* i6[16])∧(a14630data[15]* a14630data[16]))∧(i636[15]* i636[16])∧(i1315[15]* i1315[16])∧(i1315[15] > 1* TRUE))


(7) -> (20), if ((o8924[7]* java.lang.Object(IntList(o9257[20], i1372[20])))∧(o8925[7]* java.lang.Object(IntList(o9257[20], i1372[20])))∧(i636[7]* i636[20])∧((i6[7]* i6[20])∧(a14630data[7]* a14630data[20])))



The set Q consists of the following terms:
Load3666(java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(IntList(x3, x4)), x5)
Load3666ARR1(java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(IntList(x3, x4)), x5, java.lang.Object(java.lang.String(x6)))
Cond_Load3666ARR1(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(IntList(x3, x4)), x5, java.lang.Object(java.lang.String(x6)))
JMP5555(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, x5)
Cond_Load5182(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(IntList(x5, x6)))
Load5182(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, x5)
Cond_Load51821(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, x5)
Cond_Load51822(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4)
Store5482(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4)
Return5413(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4)
Load5214(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(IntList(x4, x5)))
Cond_Load51823(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(IntList(x5, x6)))
Cond_Load51824(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(IntList(x4, x5)))
Load5214(java.lang.Object(ARRAY(x0, x1)), x2, x3, NULL)
Cond_Load51825(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4)
Cond_Load51826(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(IntList(x4, x5)))

(29) IDependencyGraphProof (EQUIVALENT transformation)

The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 0 SCCs with 11 less nodes.

(30) TRUE

(31) 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:
none


R is empty.

The integer pair graph is empty.

The set Q consists of the following terms:
Load3666(java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(IntList(x3, x4)), x5)
Load3666ARR1(java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(IntList(x3, x4)), x5, java.lang.Object(java.lang.String(x6)))
Cond_Load3666ARR1(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(IntList(x3, x4)), x5, java.lang.Object(java.lang.String(x6)))
JMP5555(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, x5)
Cond_Load5182(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(IntList(x5, x6)))
Load5182(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, x5)
Cond_Load51821(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, x5)
Cond_Load51822(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4)
Store5482(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4)
Return5413(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4)
Load5214(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(IntList(x4, x5)))
Cond_Load51823(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(IntList(x5, x6)))
Cond_Load51824(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(IntList(x4, x5)))
Load5214(java.lang.Object(ARRAY(x0, x1)), x2, x3, NULL)
Cond_Load51825(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4)
Cond_Load51826(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(IntList(x4, x5)))

(32) IDependencyGraphProof (EQUIVALENT transformation)

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

(33) TRUE

(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:
none


R is empty.

The integer pair graph is empty.

The set Q consists of the following terms:
Load3666(java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(IntList(x3, x4)), x5)
Load3666ARR1(java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(IntList(x3, x4)), x5, java.lang.Object(java.lang.String(x6)))
Cond_Load3666ARR1(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(IntList(x3, x4)), x5, java.lang.Object(java.lang.String(x6)))
JMP5555(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, x5)
Cond_Load5182(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(IntList(x5, x6)))
Load5182(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, x5)
Cond_Load51821(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, x5)
Cond_Load51822(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4)
Store5482(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4)
Return5413(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4)
Load5214(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(IntList(x4, x5)))
Cond_Load51823(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(IntList(x5, x6)))
Cond_Load51824(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(IntList(x4, x5)))
Load5214(java.lang.Object(ARRAY(x0, x1)), x2, x3, NULL)
Cond_Load51825(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4)
Cond_Load51826(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(IntList(x4, x5)))

(35) IDependencyGraphProof (EQUIVALENT transformation)

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

(36) TRUE

(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:
none


R is empty.

The integer pair graph is empty.

The set Q consists of the following terms:
Load3666(java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(IntList(x3, x4)), x5)
Load3666ARR1(java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(IntList(x3, x4)), x5, java.lang.Object(java.lang.String(x6)))
Cond_Load3666ARR1(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(IntList(x3, x4)), x5, java.lang.Object(java.lang.String(x6)))
JMP5555(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, x5)
Cond_Load5182(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(IntList(x5, x6)))
Load5182(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, x5)
Cond_Load51821(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, x5)
Cond_Load51822(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4)
Store5482(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4)
Return5413(java.lang.Object(ARRAY(x0, x1)), x2, x3, x4)
Load5214(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(IntList(x4, x5)))
Cond_Load51823(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4, java.lang.Object(IntList(x5, x6)))
Cond_Load51824(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(IntList(x4, x5)))
Load5214(java.lang.Object(ARRAY(x0, x1)), x2, x3, NULL)
Cond_Load51825(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, x4)
Cond_Load51826(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(IntList(x4, x5)))

(38) IDependencyGraphProof (EQUIVALENT transformation)

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

(39) TRUE

(40) 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:
Load3410(java.lang.Object(IntList(o5429)), java.lang.Object(IntList(o5429)), i483, java.lang.Object(IntList(o5429))) → Cond_Load3410(i483 > 1, java.lang.Object(IntList(o5429)), java.lang.Object(IntList(o5429)), i483, java.lang.Object(IntList(o5429)))
Cond_Load3410(TRUE, java.lang.Object(IntList(o5429)), java.lang.Object(IntList(o5429)), i483, java.lang.Object(IntList(o5429))) → JMP3682(java.lang.Object(IntList(o5429)), java.lang.Object(IntList(o5429)), i483 + -1, o5429)
JMP3682(o5194, o5194, i489, o5421) → Load3410(o5194, o5194, i489, o5421)
Load3410(o5194, o5194, i483, java.lang.Object(IntList(o5421))) → Cond_Load34101(i483 > 1, o5194, o5194, i483, java.lang.Object(IntList(o5421)))
Cond_Load34101(TRUE, o5194, o5194, i483, java.lang.Object(IntList(o5421))) → Load3410(o5194, o5194, i483 + -1, o5421)
The set Q consists of the following terms:
Cond_Load3410(TRUE, java.lang.Object(IntList(x0)), java.lang.Object(IntList(x0)), x1, java.lang.Object(IntList(x0)))
JMP3682(x0, x0, x1, x2)
Load3410(x0, x0, x1, java.lang.Object(IntList(x2)))
Cond_Load34101(TRUE, x0, x0, x1, java.lang.Object(IntList(x2)))

(41) DuplicateArgsRemoverProof (EQUIVALENT transformation)

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

Load3410(x1, x2, x3, x4) → Load3410(x2, x3, x4)
Cond_Load34101(x1, x2, x3, x4, x5) → Cond_Load34101(x1, x3, x4, x5)
JMP3682(x1, x2, x3, x4) → JMP3682(x2, x3, x4)
Cond_Load3410(x1, x2, x3, x4, x5) → Cond_Load3410(x1, x4, x5)

(42) 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:
Load3410(java.lang.Object(IntList(o5429)), i483, java.lang.Object(IntList(o5429))) → Cond_Load3410(i483 > 1, i483, java.lang.Object(IntList(o5429)))
Cond_Load3410(TRUE, i483, java.lang.Object(IntList(o5429))) → JMP3682(java.lang.Object(IntList(o5429)), i483 + -1, o5429)
JMP3682(o5194, i489, o5421) → Load3410(o5194, i489, o5421)
Load3410(o5194, i483, java.lang.Object(IntList(o5421))) → Cond_Load34101(i483 > 1, o5194, i483, java.lang.Object(IntList(o5421)))
Cond_Load34101(TRUE, o5194, i483, java.lang.Object(IntList(o5421))) → Load3410(o5194, i483 + -1, o5421)
The set Q consists of the following terms:
Cond_Load3410(TRUE, x0, java.lang.Object(IntList(x1)))
JMP3682(x0, x1, x2)
Load3410(x0, x1, java.lang.Object(IntList(x2)))
Cond_Load34101(TRUE, x0, x1, java.lang.Object(IntList(x2)))

(43) ITRStoIDPProof (EQUIVALENT transformation)

Added dependency pairs

(44) 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


The ITRS R consists of the following rules:
Load3410(java.lang.Object(IntList(o5429)), i483, java.lang.Object(IntList(o5429))) → Cond_Load3410(i483 > 1, i483, java.lang.Object(IntList(o5429)))
Cond_Load3410(TRUE, i483, java.lang.Object(IntList(o5429))) → JMP3682(java.lang.Object(IntList(o5429)), i483 + -1, o5429)
JMP3682(o5194, i489, o5421) → Load3410(o5194, i489, o5421)
Load3410(o5194, i483, java.lang.Object(IntList(o5421))) → Cond_Load34101(i483 > 1, o5194, i483, java.lang.Object(IntList(o5421)))
Cond_Load34101(TRUE, o5194, i483, java.lang.Object(IntList(o5421))) → Load3410(o5194, i483 + -1, o5421)

The integer pair graph contains the following rules and edges:
(0): LOAD3410(java.lang.Object(IntList(o5429[0])), i483[0], java.lang.Object(IntList(o5429[0]))) → COND_LOAD3410(i483[0] > 1, i483[0], java.lang.Object(IntList(o5429[0])))
(1): COND_LOAD3410(TRUE, i483[1], java.lang.Object(IntList(o5429[1]))) → JMP3682'(java.lang.Object(IntList(o5429[1])), i483[1] + -1, o5429[1])
(2): JMP3682'(o5194[2], i489[2], o5421[2]) → LOAD3410(o5194[2], i489[2], o5421[2])
(3): LOAD3410(o5194[3], i483[3], java.lang.Object(IntList(o5421[3]))) → COND_LOAD34101(i483[3] > 1, o5194[3], i483[3], java.lang.Object(IntList(o5421[3])))
(4): COND_LOAD34101(TRUE, o5194[4], i483[4], java.lang.Object(IntList(o5421[4]))) → LOAD3410(o5194[4], i483[4] + -1, o5421[4])

(0) -> (1), if ((i483[0]* i483[1])∧(java.lang.Object(IntList(o5429[0])) →* java.lang.Object(IntList(o5429[1])))∧(i483[0] > 1* TRUE))


(1) -> (2), if ((o5429[1]* o5421[2])∧(i483[1] + -1* i489[2])∧(java.lang.Object(IntList(o5429[1])) →* o5194[2]))


(2) -> (0), if ((i489[2]* i483[0])∧(o5194[2]* java.lang.Object(IntList(o5429[0])))∧(o5421[2]* java.lang.Object(IntList(o5429[0]))))


(2) -> (3), if ((i489[2]* i483[3])∧(o5194[2]* o5194[3])∧(o5421[2]* java.lang.Object(IntList(o5421[3]))))


(3) -> (4), if ((i483[3] > 1* TRUE)∧(o5194[3]* o5194[4])∧(i483[3]* i483[4])∧(java.lang.Object(IntList(o5421[3])) →* java.lang.Object(IntList(o5421[4]))))


(4) -> (0), if ((o5421[4]* java.lang.Object(IntList(o5429[0])))∧(o5194[4]* java.lang.Object(IntList(o5429[0])))∧(i483[4] + -1* i483[0]))


(4) -> (3), if ((i483[4] + -1* i483[3])∧(o5194[4]* o5194[3])∧(o5421[4]* java.lang.Object(IntList(o5421[3]))))



The set Q consists of the following terms:
Cond_Load3410(TRUE, x0, java.lang.Object(IntList(x1)))
JMP3682(x0, x1, x2)
Load3410(x0, x1, java.lang.Object(IntList(x2)))
Cond_Load34101(TRUE, x0, x1, java.lang.Object(IntList(x2)))

(45) 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.

(46) Obligation:

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


The following domains are used:

Integer


R is empty.

The integer pair graph contains the following rules and edges:
(0): LOAD3410(java.lang.Object(IntList(o5429[0])), i483[0], java.lang.Object(IntList(o5429[0]))) → COND_LOAD3410(i483[0] > 1, i483[0], java.lang.Object(IntList(o5429[0])))
(1): COND_LOAD3410(TRUE, i483[1], java.lang.Object(IntList(o5429[1]))) → JMP3682'(java.lang.Object(IntList(o5429[1])), i483[1] + -1, o5429[1])
(2): JMP3682'(o5194[2], i489[2], o5421[2]) → LOAD3410(o5194[2], i489[2], o5421[2])
(3): LOAD3410(o5194[3], i483[3], java.lang.Object(IntList(o5421[3]))) → COND_LOAD34101(i483[3] > 1, o5194[3], i483[3], java.lang.Object(IntList(o5421[3])))
(4): COND_LOAD34101(TRUE, o5194[4], i483[4], java.lang.Object(IntList(o5421[4]))) → LOAD3410(o5194[4], i483[4] + -1, o5421[4])

(0) -> (1), if ((i483[0]* i483[1])∧(java.lang.Object(IntList(o5429[0])) →* java.lang.Object(IntList(o5429[1])))∧(i483[0] > 1* TRUE))


(1) -> (2), if ((o5429[1]* o5421[2])∧(i483[1] + -1* i489[2])∧(java.lang.Object(IntList(o5429[1])) →* o5194[2]))


(2) -> (0), if ((i489[2]* i483[0])∧(o5194[2]* java.lang.Object(IntList(o5429[0])))∧(o5421[2]* java.lang.Object(IntList(o5429[0]))))


(2) -> (3), if ((i489[2]* i483[3])∧(o5194[2]* o5194[3])∧(o5421[2]* java.lang.Object(IntList(o5421[3]))))


(3) -> (4), if ((i483[3] > 1* TRUE)∧(o5194[3]* o5194[4])∧(i483[3]* i483[4])∧(java.lang.Object(IntList(o5421[3])) →* java.lang.Object(IntList(o5421[4]))))


(4) -> (0), if ((o5421[4]* java.lang.Object(IntList(o5429[0])))∧(o5194[4]* java.lang.Object(IntList(o5429[0])))∧(i483[4] + -1* i483[0]))


(4) -> (3), if ((i483[4] + -1* i483[3])∧(o5194[4]* o5194[3])∧(o5421[4]* java.lang.Object(IntList(o5421[3]))))



The set Q consists of the following terms:
Cond_Load3410(TRUE, x0, java.lang.Object(IntList(x1)))
JMP3682(x0, x1, x2)
Load3410(x0, x1, java.lang.Object(IntList(x2)))
Cond_Load34101(TRUE, x0, x1, java.lang.Object(IntList(x2)))

(47) ItpfGraphProof (EQUIVALENT transformation)

Applied rule ItpfICap [ICap]

(48) Obligation:

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


The following domains are used:

Integer


R is empty.

The integer pair graph contains the following rules and edges:
(0): LOAD3410(java.lang.Object(IntList(o5429[0])), i483[0], java.lang.Object(IntList(o5429[0]))) → COND_LOAD3410(i483[0] > 1, i483[0], java.lang.Object(IntList(o5429[0])))
(1): COND_LOAD3410(TRUE, i483[1], java.lang.Object(IntList(o5429[1]))) → JMP3682'(java.lang.Object(IntList(o5429[1])), i483[1] + -1, o5429[1])
(2): JMP3682'(o5194[2], i489[2], o5421[2]) → LOAD3410(o5194[2], i489[2], o5421[2])
(3): LOAD3410(o5194[3], i483[3], java.lang.Object(IntList(o5421[3]))) → COND_LOAD34101(i483[3] > 1, o5194[3], i483[3], java.lang.Object(IntList(o5421[3])))
(4): COND_LOAD34101(TRUE, o5194[4], i483[4], java.lang.Object(IntList(o5421[4]))) → LOAD3410(o5194[4], i483[4] + -1, o5421[4])

(1) -> (2), if ((o5429[1]* o5421[2])∧(i483[1] + -1* i489[2])∧(java.lang.Object(IntList(o5429[1])) →* o5194[2]))


(2) -> (0), if ((i489[2]* i483[0])∧(o5194[2]* java.lang.Object(IntList(o5429[0])))∧(o5421[2]* java.lang.Object(IntList(o5429[0]))))


(2) -> (3), if ((i489[2]* i483[3])∧(o5194[2]* o5194[3])∧(o5421[2]* java.lang.Object(IntList(o5421[3]))))


(4) -> (0), if ((o5421[4]* java.lang.Object(IntList(o5429[0])))∧(o5194[4]* java.lang.Object(IntList(o5429[0])))∧(i483[4] + -1* i483[0]))


(4) -> (3), if ((i483[4] + -1* i483[3])∧(o5194[4]* o5194[3])∧(o5421[4]* java.lang.Object(IntList(o5421[3]))))


(0) -> (1), if ((i483[0]* i483[1])∧((o5429[0]* o5429[1]))∧(i483[0] > 1* TRUE))


(3) -> (4), if ((i483[3] > 1* TRUE)∧(o5194[3]* o5194[4])∧(i483[3]* i483[4])∧((o5421[3]* o5421[4])))



The set Q consists of the following terms:
Cond_Load3410(TRUE, x0, java.lang.Object(IntList(x1)))
JMP3682(x0, x1, x2)
Load3410(x0, x1, java.lang.Object(IntList(x2)))
Cond_Load34101(TRUE, x0, x1, java.lang.Object(IntList(x2)))

(49) 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 LOAD3410(java.lang.Object(IntList(o5429)), i483, java.lang.Object(IntList(o5429))) → COND_LOAD3410(>(i483, 1), i483, java.lang.Object(IntList(o5429))) the following chains were created:
  • We consider the chain LOAD3410(java.lang.Object(IntList(o5429[0])), i483[0], java.lang.Object(IntList(o5429[0]))) → COND_LOAD3410(>(i483[0], 1), i483[0], java.lang.Object(IntList(o5429[0]))), COND_LOAD3410(TRUE, i483[1], java.lang.Object(IntList(o5429[1]))) → JMP3682'(java.lang.Object(IntList(o5429[1])), +(i483[1], -1), o5429[1]) which results in the following constraint:

    (1)    (i483[0]=i483[1]o5429[0]=o5429[1]>(i483[0], 1)=TRUELOAD3410(java.lang.Object(IntList(o5429[0])), i483[0], java.lang.Object(IntList(o5429[0])))≥COND_LOAD3410(>(i483[0], 1), i483[0], java.lang.Object(IntList(o5429[0])))∧(UIncreasing(COND_LOAD3410(>(i483[0], 1), i483[0], java.lang.Object(IntList(o5429[0])))), ≥))



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

    (2)    (>(i483[0], 1)=TRUELOAD3410(java.lang.Object(IntList(o5429[0])), i483[0], java.lang.Object(IntList(o5429[0])))≥COND_LOAD3410(>(i483[0], 1), i483[0], java.lang.Object(IntList(o5429[0])))∧(UIncreasing(COND_LOAD3410(>(i483[0], 1), i483[0], java.lang.Object(IntList(o5429[0])))), ≥))



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

    (3)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD3410(>(i483[0], 1), i483[0], java.lang.Object(IntList(o5429[0])))), ≥)∧[1 + (-1)bso_22] + i483[0] ≥ 0)



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

    (4)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD3410(>(i483[0], 1), i483[0], java.lang.Object(IntList(o5429[0])))), ≥)∧[1 + (-1)bso_22] + i483[0] ≥ 0)



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

    (5)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD3410(>(i483[0], 1), i483[0], java.lang.Object(IntList(o5429[0])))), ≥)∧[1 + (-1)bso_22] + i483[0] ≥ 0)



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

    (6)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD3410(>(i483[0], 1), i483[0], java.lang.Object(IntList(o5429[0])))), ≥)∧0 ≥ 0∧[1] ≥ 0∧[1 + (-1)bso_22] ≥ 0)







For Pair COND_LOAD3410(TRUE, i483, java.lang.Object(IntList(o5429))) → JMP3682'(java.lang.Object(IntList(o5429)), +(i483, -1), o5429) the following chains were created:
  • We consider the chain LOAD3410(java.lang.Object(IntList(o5429[0])), i483[0], java.lang.Object(IntList(o5429[0]))) → COND_LOAD3410(>(i483[0], 1), i483[0], java.lang.Object(IntList(o5429[0]))), COND_LOAD3410(TRUE, i483[1], java.lang.Object(IntList(o5429[1]))) → JMP3682'(java.lang.Object(IntList(o5429[1])), +(i483[1], -1), o5429[1]), JMP3682'(o5194[2], i489[2], o5421[2]) → LOAD3410(o5194[2], i489[2], o5421[2]) which results in the following constraint:

    (7)    (i483[0]=i483[1]o5429[0]=o5429[1]>(i483[0], 1)=TRUEo5429[1]=o5421[2]+(i483[1], -1)=i489[2]java.lang.Object(IntList(o5429[1]))=o5194[2]COND_LOAD3410(TRUE, i483[1], java.lang.Object(IntList(o5429[1])))≥JMP3682'(java.lang.Object(IntList(o5429[1])), +(i483[1], -1), o5429[1])∧(UIncreasing(JMP3682'(java.lang.Object(IntList(o5429[1])), +(i483[1], -1), o5429[1])), ≥))



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

    (8)    (>(i483[0], 1)=TRUECOND_LOAD3410(TRUE, i483[0], java.lang.Object(IntList(o5429[0])))≥JMP3682'(java.lang.Object(IntList(o5429[0])), +(i483[0], -1), o5429[0])∧(UIncreasing(JMP3682'(java.lang.Object(IntList(o5429[1])), +(i483[1], -1), o5429[1])), ≥))



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

    (9)    (0 ≥ 0 ⇒ (UIncreasing(JMP3682'(java.lang.Object(IntList(o5429[1])), +(i483[1], -1), o5429[1])), ≥)∧[32 + (-1)bso_23] + [24]o5429[0] + i483[0] ≥ 0)



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

    (10)    (0 ≥ 0 ⇒ (UIncreasing(JMP3682'(java.lang.Object(IntList(o5429[1])), +(i483[1], -1), o5429[1])), ≥)∧[32 + (-1)bso_23] + [24]o5429[0] + i483[0] ≥ 0)



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

    (11)    (0 ≥ 0 ⇒ (UIncreasing(JMP3682'(java.lang.Object(IntList(o5429[1])), +(i483[1], -1), o5429[1])), ≥)∧[32 + (-1)bso_23] + [24]o5429[0] + i483[0] ≥ 0)



    We simplified constraint (11) using rules (IDP_UNRESTRICTED_VARS), (IDP_POLY_GCD) which results in the following new constraint:

    (12)    (0 ≥ 0 ⇒ (UIncreasing(JMP3682'(java.lang.Object(IntList(o5429[1])), +(i483[1], -1), o5429[1])), ≥)∧[1] ≥ 0∧[32 + (-1)bso_23] ≥ 0∧[1] ≥ 0)







For Pair JMP3682'(o5194, i489, o5421) → LOAD3410(o5194, i489, o5421) the following chains were created:
  • We consider the chain JMP3682'(o5194[2], i489[2], o5421[2]) → LOAD3410(o5194[2], i489[2], o5421[2]), LOAD3410(java.lang.Object(IntList(o5429[0])), i483[0], java.lang.Object(IntList(o5429[0]))) → COND_LOAD3410(>(i483[0], 1), i483[0], java.lang.Object(IntList(o5429[0]))) which results in the following constraint:

    (13)    (i489[2]=i483[0]o5194[2]=java.lang.Object(IntList(o5429[0]))∧o5421[2]=java.lang.Object(IntList(o5429[0])) ⇒ JMP3682'(o5194[2], i489[2], o5421[2])≥LOAD3410(o5194[2], i489[2], o5421[2])∧(UIncreasing(LOAD3410(o5194[2], i489[2], o5421[2])), ≥))



    We simplified constraint (13) using rules (III), (IV) which results in the following new constraint:

    (14)    (JMP3682'(java.lang.Object(IntList(o5429[0])), i489[2], java.lang.Object(IntList(o5429[0])))≥LOAD3410(java.lang.Object(IntList(o5429[0])), i489[2], java.lang.Object(IntList(o5429[0])))∧(UIncreasing(LOAD3410(o5194[2], i489[2], o5421[2])), ≥))



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

    (15)    ((UIncreasing(LOAD3410(o5194[2], i489[2], o5421[2])), ≥)∧[(-1)bso_24] + i489[2] ≥ 0)



    We simplified constraint (15) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (16)    ((UIncreasing(LOAD3410(o5194[2], i489[2], o5421[2])), ≥)∧[(-1)bso_24] + i489[2] ≥ 0)



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

    (17)    ((UIncreasing(LOAD3410(o5194[2], i489[2], o5421[2])), ≥)∧[(-1)bso_24] + i489[2] ≥ 0)



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

    (18)    ((UIncreasing(LOAD3410(o5194[2], i489[2], o5421[2])), ≥)∧0 ≥ 0∧[1] ≥ 0∧[(-1)bso_24] ≥ 0)



  • We consider the chain JMP3682'(o5194[2], i489[2], o5421[2]) → LOAD3410(o5194[2], i489[2], o5421[2]), LOAD3410(o5194[3], i483[3], java.lang.Object(IntList(o5421[3]))) → COND_LOAD34101(>(i483[3], 1), o5194[3], i483[3], java.lang.Object(IntList(o5421[3]))) which results in the following constraint:

    (19)    (i489[2]=i483[3]o5194[2]=o5194[3]o5421[2]=java.lang.Object(IntList(o5421[3])) ⇒ JMP3682'(o5194[2], i489[2], o5421[2])≥LOAD3410(o5194[2], i489[2], o5421[2])∧(UIncreasing(LOAD3410(o5194[2], i489[2], o5421[2])), ≥))



    We simplified constraint (19) using rules (III), (IV) which results in the following new constraint:

    (20)    (JMP3682'(o5194[2], i489[2], java.lang.Object(IntList(o5421[3])))≥LOAD3410(o5194[2], i489[2], java.lang.Object(IntList(o5421[3])))∧(UIncreasing(LOAD3410(o5194[2], i489[2], o5421[2])), ≥))



    We simplified constraint (20) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (21)    ((UIncreasing(LOAD3410(o5194[2], i489[2], o5421[2])), ≥)∧[(-1)bso_24] + i489[2] ≥ 0)



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

    (22)    ((UIncreasing(LOAD3410(o5194[2], i489[2], o5421[2])), ≥)∧[(-1)bso_24] + i489[2] ≥ 0)



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

    (23)    ((UIncreasing(LOAD3410(o5194[2], i489[2], o5421[2])), ≥)∧[(-1)bso_24] + i489[2] ≥ 0)



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

    (24)    ((UIncreasing(LOAD3410(o5194[2], i489[2], o5421[2])), ≥)∧0 ≥ 0∧[1] ≥ 0∧0 ≥ 0∧[(-1)bso_24] ≥ 0)







For Pair LOAD3410(o5194, i483, java.lang.Object(IntList(o5421))) → COND_LOAD34101(>(i483, 1), o5194, i483, java.lang.Object(IntList(o5421))) the following chains were created:
  • We consider the chain LOAD3410(o5194[3], i483[3], java.lang.Object(IntList(o5421[3]))) → COND_LOAD34101(>(i483[3], 1), o5194[3], i483[3], java.lang.Object(IntList(o5421[3]))), COND_LOAD34101(TRUE, o5194[4], i483[4], java.lang.Object(IntList(o5421[4]))) → LOAD3410(o5194[4], +(i483[4], -1), o5421[4]) which results in the following constraint:

    (25)    (>(i483[3], 1)=TRUEo5194[3]=o5194[4]i483[3]=i483[4]o5421[3]=o5421[4]LOAD3410(o5194[3], i483[3], java.lang.Object(IntList(o5421[3])))≥COND_LOAD34101(>(i483[3], 1), o5194[3], i483[3], java.lang.Object(IntList(o5421[3])))∧(UIncreasing(COND_LOAD34101(>(i483[3], 1), o5194[3], i483[3], java.lang.Object(IntList(o5421[3])))), ≥))



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

    (26)    (>(i483[3], 1)=TRUELOAD3410(o5194[3], i483[3], java.lang.Object(IntList(o5421[3])))≥COND_LOAD34101(>(i483[3], 1), o5194[3], i483[3], java.lang.Object(IntList(o5421[3])))∧(UIncreasing(COND_LOAD34101(>(i483[3], 1), o5194[3], i483[3], java.lang.Object(IntList(o5421[3])))), ≥))



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

    (27)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD34101(>(i483[3], 1), o5194[3], i483[3], java.lang.Object(IntList(o5421[3])))), ≥)∧[(-1)bso_25] + i483[3] ≥ 0)



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

    (28)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD34101(>(i483[3], 1), o5194[3], i483[3], java.lang.Object(IntList(o5421[3])))), ≥)∧[(-1)bso_25] + i483[3] ≥ 0)



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

    (29)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD34101(>(i483[3], 1), o5194[3], i483[3], java.lang.Object(IntList(o5421[3])))), ≥)∧[(-1)bso_25] + i483[3] ≥ 0)



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

    (30)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD34101(>(i483[3], 1), o5194[3], i483[3], java.lang.Object(IntList(o5421[3])))), ≥)∧0 ≥ 0∧[1] ≥ 0∧0 ≥ 0∧[(-1)bso_25] ≥ 0)







For Pair COND_LOAD34101(TRUE, o5194, i483, java.lang.Object(IntList(o5421))) → LOAD3410(o5194, +(i483, -1), o5421) the following chains were created:
  • We consider the chain LOAD3410(o5194[3], i483[3], java.lang.Object(IntList(o5421[3]))) → COND_LOAD34101(>(i483[3], 1), o5194[3], i483[3], java.lang.Object(IntList(o5421[3]))), COND_LOAD34101(TRUE, o5194[4], i483[4], java.lang.Object(IntList(o5421[4]))) → LOAD3410(o5194[4], +(i483[4], -1), o5421[4]), LOAD3410(java.lang.Object(IntList(o5429[0])), i483[0], java.lang.Object(IntList(o5429[0]))) → COND_LOAD3410(>(i483[0], 1), i483[0], java.lang.Object(IntList(o5429[0]))) which results in the following constraint:

    (31)    (>(i483[3], 1)=TRUEo5194[3]=o5194[4]i483[3]=i483[4]o5421[3]=o5421[4]o5421[4]=java.lang.Object(IntList(o5429[0]))∧o5194[4]=java.lang.Object(IntList(o5429[0]))∧+(i483[4], -1)=i483[0]COND_LOAD34101(TRUE, o5194[4], i483[4], java.lang.Object(IntList(o5421[4])))≥LOAD3410(o5194[4], +(i483[4], -1), o5421[4])∧(UIncreasing(LOAD3410(o5194[4], +(i483[4], -1), o5421[4])), ≥))



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

    (32)    (>(i483[3], 1)=TRUECOND_LOAD34101(TRUE, java.lang.Object(IntList(o5429[0])), i483[3], java.lang.Object(IntList(java.lang.Object(IntList(o5429[0])))))≥LOAD3410(java.lang.Object(IntList(o5429[0])), +(i483[3], -1), java.lang.Object(IntList(o5429[0])))∧(UIncreasing(LOAD3410(o5194[4], +(i483[4], -1), o5421[4])), ≥))



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

    (33)    (0 ≥ 0 ⇒ (UIncreasing(LOAD3410(o5194[4], +(i483[4], -1), o5421[4])), ≥)∧[297 + (-1)bso_26] + [216]o5429[0] + i483[3] ≥ 0)



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

    (34)    (0 ≥ 0 ⇒ (UIncreasing(LOAD3410(o5194[4], +(i483[4], -1), o5421[4])), ≥)∧[297 + (-1)bso_26] + [216]o5429[0] + i483[3] ≥ 0)



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

    (35)    (0 ≥ 0 ⇒ (UIncreasing(LOAD3410(o5194[4], +(i483[4], -1), o5421[4])), ≥)∧[297 + (-1)bso_26] + [216]o5429[0] + i483[3] ≥ 0)



    We simplified constraint (35) using rules (IDP_UNRESTRICTED_VARS), (IDP_POLY_GCD) which results in the following new constraint:

    (36)    (0 ≥ 0 ⇒ (UIncreasing(LOAD3410(o5194[4], +(i483[4], -1), o5421[4])), ≥)∧[1] ≥ 0∧[297 + (-1)bso_26] ≥ 0∧[1] ≥ 0)



  • We consider the chain LOAD3410(o5194[3], i483[3], java.lang.Object(IntList(o5421[3]))) → COND_LOAD34101(>(i483[3], 1), o5194[3], i483[3], java.lang.Object(IntList(o5421[3]))), COND_LOAD34101(TRUE, o5194[4], i483[4], java.lang.Object(IntList(o5421[4]))) → LOAD3410(o5194[4], +(i483[4], -1), o5421[4]), LOAD3410(o5194[3], i483[3], java.lang.Object(IntList(o5421[3]))) → COND_LOAD34101(>(i483[3], 1), o5194[3], i483[3], java.lang.Object(IntList(o5421[3]))) which results in the following constraint:

    (37)    (>(i483[3], 1)=TRUEo5194[3]=o5194[4]i483[3]=i483[4]o5421[3]=o5421[4]+(i483[4], -1)=i483[3]1o5194[4]=o5194[3]1o5421[4]=java.lang.Object(IntList(o5421[3]1)) ⇒ COND_LOAD34101(TRUE, o5194[4], i483[4], java.lang.Object(IntList(o5421[4])))≥LOAD3410(o5194[4], +(i483[4], -1), o5421[4])∧(UIncreasing(LOAD3410(o5194[4], +(i483[4], -1), o5421[4])), ≥))



    We simplified constraint (37) using rules (III), (IV) which results in the following new constraint:

    (38)    (>(i483[3], 1)=TRUECOND_LOAD34101(TRUE, o5194[3], i483[3], java.lang.Object(IntList(java.lang.Object(IntList(o5421[3]1)))))≥LOAD3410(o5194[3], +(i483[3], -1), java.lang.Object(IntList(o5421[3]1)))∧(UIncreasing(LOAD3410(o5194[4], +(i483[4], -1), o5421[4])), ≥))



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

    (39)    (0 ≥ 0 ⇒ (UIncreasing(LOAD3410(o5194[4], +(i483[4], -1), o5421[4])), ≥)∧[297 + (-1)bso_26] + [216]o5421[3]1 + i483[3] ≥ 0)



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

    (40)    (0 ≥ 0 ⇒ (UIncreasing(LOAD3410(o5194[4], +(i483[4], -1), o5421[4])), ≥)∧[297 + (-1)bso_26] + [216]o5421[3]1 + i483[3] ≥ 0)



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

    (41)    (0 ≥ 0 ⇒ (UIncreasing(LOAD3410(o5194[4], +(i483[4], -1), o5421[4])), ≥)∧[297 + (-1)bso_26] + [216]o5421[3]1 + i483[3] ≥ 0)



    We simplified constraint (41) using rules (IDP_UNRESTRICTED_VARS), (IDP_POLY_GCD) which results in the following new constraint:

    (42)    (0 ≥ 0 ⇒ (UIncreasing(LOAD3410(o5194[4], +(i483[4], -1), o5421[4])), ≥)∧[1] ≥ 0∧0 ≥ 0∧[297 + (-1)bso_26] ≥ 0∧[1] ≥ 0)







To summarize, we get the following constraints P for the following pairs.
  • LOAD3410(java.lang.Object(IntList(o5429)), i483, java.lang.Object(IntList(o5429))) → COND_LOAD3410(>(i483, 1), i483, java.lang.Object(IntList(o5429)))
    • (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD3410(>(i483[0], 1), i483[0], java.lang.Object(IntList(o5429[0])))), ≥)∧0 ≥ 0∧[1] ≥ 0∧[1 + (-1)bso_22] ≥ 0)

  • COND_LOAD3410(TRUE, i483, java.lang.Object(IntList(o5429))) → JMP3682'(java.lang.Object(IntList(o5429)), +(i483, -1), o5429)
    • (0 ≥ 0 ⇒ (UIncreasing(JMP3682'(java.lang.Object(IntList(o5429[1])), +(i483[1], -1), o5429[1])), ≥)∧[1] ≥ 0∧[32 + (-1)bso_23] ≥ 0∧[1] ≥ 0)

  • JMP3682'(o5194, i489, o5421) → LOAD3410(o5194, i489, o5421)
    • ((UIncreasing(LOAD3410(o5194[2], i489[2], o5421[2])), ≥)∧0 ≥ 0∧[1] ≥ 0∧[(-1)bso_24] ≥ 0)
    • ((UIncreasing(LOAD3410(o5194[2], i489[2], o5421[2])), ≥)∧0 ≥ 0∧[1] ≥ 0∧0 ≥ 0∧[(-1)bso_24] ≥ 0)

  • LOAD3410(o5194, i483, java.lang.Object(IntList(o5421))) → COND_LOAD34101(>(i483, 1), o5194, i483, java.lang.Object(IntList(o5421)))
    • (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD34101(>(i483[3], 1), o5194[3], i483[3], java.lang.Object(IntList(o5421[3])))), ≥)∧0 ≥ 0∧[1] ≥ 0∧0 ≥ 0∧[(-1)bso_25] ≥ 0)

  • COND_LOAD34101(TRUE, o5194, i483, java.lang.Object(IntList(o5421))) → LOAD3410(o5194, +(i483, -1), o5421)
    • (0 ≥ 0 ⇒ (UIncreasing(LOAD3410(o5194[4], +(i483[4], -1), o5421[4])), ≥)∧[1] ≥ 0∧[297 + (-1)bso_26] ≥ 0∧[1] ≥ 0)
    • (0 ≥ 0 ⇒ (UIncreasing(LOAD3410(o5194[4], +(i483[4], -1), o5421[4])), ≥)∧[1] ≥ 0∧0 ≥ 0∧[297 + (-1)bso_26] ≥ 0∧[1] ≥ 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 with natural coefficients for all symbols [NONINF][POLO]:

POL(TRUE) = 0   
POL(FALSE) = 0   
POL(LOAD3410(x1, x2, x3)) = [2] + [3]x3 + [2]x2   
POL(java.lang.Object(x1)) = [2] + [3]x1   
POL(IntList(x1)) = [3] + [3]x1   
POL(COND_LOAD3410(x1, x2, x3)) = [1] + [3]x3 + x2   
POL(>(x1, x2)) = 0   
POL(1) = 0   
POL(JMP3682'(x1, x2, x3)) = [2] + [3]x3 + [3]x2   
POL(+(x1, x2)) = 0   
POL(-1) = 0   
POL(COND_LOAD34101(x1, x2, x3, x4)) = [2] + [3]x4 + x3   

The following pairs are in P>:

LOAD3410(java.lang.Object(IntList(o5429[0])), i483[0], java.lang.Object(IntList(o5429[0]))) → COND_LOAD3410(>(i483[0], 1), i483[0], java.lang.Object(IntList(o5429[0])))
COND_LOAD3410(TRUE, i483[1], java.lang.Object(IntList(o5429[1]))) → JMP3682'(java.lang.Object(IntList(o5429[1])), +(i483[1], -1), o5429[1])
COND_LOAD34101(TRUE, o5194[4], i483[4], java.lang.Object(IntList(o5421[4]))) → LOAD3410(o5194[4], +(i483[4], -1), o5421[4])

The following pairs are in Pbound:

LOAD3410(java.lang.Object(IntList(o5429[0])), i483[0], java.lang.Object(IntList(o5429[0]))) → COND_LOAD3410(>(i483[0], 1), i483[0], java.lang.Object(IntList(o5429[0])))
COND_LOAD3410(TRUE, i483[1], java.lang.Object(IntList(o5429[1]))) → JMP3682'(java.lang.Object(IntList(o5429[1])), +(i483[1], -1), o5429[1])
JMP3682'(o5194[2], i489[2], o5421[2]) → LOAD3410(o5194[2], i489[2], o5421[2])
LOAD3410(o5194[3], i483[3], java.lang.Object(IntList(o5421[3]))) → COND_LOAD34101(>(i483[3], 1), o5194[3], i483[3], java.lang.Object(IntList(o5421[3])))
COND_LOAD34101(TRUE, o5194[4], i483[4], java.lang.Object(IntList(o5421[4]))) → LOAD3410(o5194[4], +(i483[4], -1), o5421[4])

The following pairs are in P:

JMP3682'(o5194[2], i489[2], o5421[2]) → LOAD3410(o5194[2], i489[2], o5421[2])
LOAD3410(o5194[3], i483[3], java.lang.Object(IntList(o5421[3]))) → COND_LOAD34101(>(i483[3], 1), o5194[3], i483[3], java.lang.Object(IntList(o5421[3])))

There are no usable rules.

(50) Complex Obligation (AND)

(51) 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:
(2): JMP3682'(o5194[2], i489[2], o5421[2]) → LOAD3410(o5194[2], i489[2], o5421[2])
(3): LOAD3410(o5194[3], i483[3], java.lang.Object(IntList(o5421[3]))) → COND_LOAD34101(i483[3] > 1, o5194[3], i483[3], java.lang.Object(IntList(o5421[3])))

(2) -> (3), if ((i489[2]* i483[3])∧(o5194[2]* o5194[3])∧(o5421[2]* java.lang.Object(IntList(o5421[3]))))



The set Q consists of the following terms:
Cond_Load3410(TRUE, x0, java.lang.Object(IntList(x1)))
JMP3682(x0, x1, x2)
Load3410(x0, x1, java.lang.Object(IntList(x2)))
Cond_Load34101(TRUE, x0, x1, java.lang.Object(IntList(x2)))

(52) IDependencyGraphProof (EQUIVALENT transformation)

The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 0 SCCs with 2 less nodes.

(53) TRUE

(54) 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:
none


R is empty.

The integer pair graph is empty.

The set Q consists of the following terms:
Cond_Load3410(TRUE, x0, java.lang.Object(IntList(x1)))
JMP3682(x0, x1, x2)
Load3410(x0, x1, java.lang.Object(IntList(x2)))
Cond_Load34101(TRUE, x0, x1, java.lang.Object(IntList(x2)))

(55) IDependencyGraphProof (EQUIVALENT transformation)

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

(56) TRUE

(57) 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:
Load2024(java.lang.Object(ARRAY(i6, a4071data)), i95, i97) → Load2024ARR2(java.lang.Object(ARRAY(i6, a4071data)), i95, i97, java.lang.Object(java.lang.String(i168)))
Load2024ARR2(java.lang.Object(ARRAY(i6, a4071data)), i95, i97, java.lang.Object(java.lang.String(i168))) → Cond_Load2024ARR2(i95 > 0 && i95 < i6 && i97 > 0 && i95 + 1 > 0, java.lang.Object(ARRAY(i6, a4071data)), i95, i97, java.lang.Object(java.lang.String(i168)))
Cond_Load2024ARR2(TRUE, java.lang.Object(ARRAY(i6, a4071data)), i95, i97, java.lang.Object(java.lang.String(i168))) → Load2024(java.lang.Object(ARRAY(i6, a4071data)), i95 + 1, i97 + -1)
The set Q consists of the following terms:
Load2024(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load2024ARR2(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load2024ARR2(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))

(58) ITRSFilterProcessorProof (SOUND transformation)

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

Load2024ARR2(x1, x2, x3, x4) → Load2024ARR2(x1, x2, x3)
java.lang.String(x1) → java.lang.String
Cond_Load2024ARR2(x1, x2, x3, x4, x5) → Cond_Load2024ARR2(x1, x2, x3, x4)

(59) 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:
Load2024(java.lang.Object(ARRAY(i6, a4071data)), i95, i97) → Load2024ARR2(java.lang.Object(ARRAY(i6, a4071data)), i95, i97)
Load2024ARR2(java.lang.Object(ARRAY(i6, a4071data)), i95, i97) → Cond_Load2024ARR2(i95 > 0 && i95 < i6 && i97 > 0 && i95 + 1 > 0, java.lang.Object(ARRAY(i6, a4071data)), i95, i97)
Cond_Load2024ARR2(TRUE, java.lang.Object(ARRAY(i6, a4071data)), i95, i97) → Load2024(java.lang.Object(ARRAY(i6, a4071data)), i95 + 1, i97 + -1)
The set Q consists of the following terms:
Load2024(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load2024ARR2(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Cond_Load2024ARR2(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3)

(60) ITRStoIDPProof (EQUIVALENT transformation)

Added dependency pairs

(61) 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:
Load2024(java.lang.Object(ARRAY(i6, a4071data)), i95, i97) → Load2024ARR2(java.lang.Object(ARRAY(i6, a4071data)), i95, i97)
Load2024ARR2(java.lang.Object(ARRAY(i6, a4071data)), i95, i97) → Cond_Load2024ARR2(i95 > 0 && i95 < i6 && i97 > 0 && i95 + 1 > 0, java.lang.Object(ARRAY(i6, a4071data)), i95, i97)
Cond_Load2024ARR2(TRUE, java.lang.Object(ARRAY(i6, a4071data)), i95, i97) → Load2024(java.lang.Object(ARRAY(i6, a4071data)), i95 + 1, i97 + -1)

The integer pair graph contains the following rules and edges:
(0): LOAD2024(java.lang.Object(ARRAY(i6[0], a4071data[0])), i95[0], i97[0]) → LOAD2024ARR2(java.lang.Object(ARRAY(i6[0], a4071data[0])), i95[0], i97[0])
(1): LOAD2024ARR2(java.lang.Object(ARRAY(i6[1], a4071data[1])), i95[1], i97[1]) → COND_LOAD2024ARR2(i95[1] > 0 && i95[1] < i6[1] && i97[1] > 0 && i95[1] + 1 > 0, java.lang.Object(ARRAY(i6[1], a4071data[1])), i95[1], i97[1])
(2): COND_LOAD2024ARR2(TRUE, java.lang.Object(ARRAY(i6[2], a4071data[2])), i95[2], i97[2]) → LOAD2024(java.lang.Object(ARRAY(i6[2], a4071data[2])), i95[2] + 1, i97[2] + -1)

(0) -> (1), if ((i97[0]* i97[1])∧(i95[0]* i95[1])∧(java.lang.Object(ARRAY(i6[0], a4071data[0])) →* java.lang.Object(ARRAY(i6[1], a4071data[1]))))


(1) -> (2), if ((i95[1]* i95[2])∧(java.lang.Object(ARRAY(i6[1], a4071data[1])) →* java.lang.Object(ARRAY(i6[2], a4071data[2])))∧(i95[1] > 0 && i95[1] < i6[1] && i97[1] > 0 && i95[1] + 1 > 0* TRUE)∧(i97[1]* i97[2]))


(2) -> (0), if ((i97[2] + -1* i97[0])∧(i95[2] + 1* i95[0])∧(java.lang.Object(ARRAY(i6[2], a4071data[2])) →* java.lang.Object(ARRAY(i6[0], a4071data[0]))))



The set Q consists of the following terms:
Load2024(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load2024ARR2(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Cond_Load2024ARR2(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3)

(62) 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.

(63) 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): LOAD2024(java.lang.Object(ARRAY(i6[0], a4071data[0])), i95[0], i97[0]) → LOAD2024ARR2(java.lang.Object(ARRAY(i6[0], a4071data[0])), i95[0], i97[0])
(1): LOAD2024ARR2(java.lang.Object(ARRAY(i6[1], a4071data[1])), i95[1], i97[1]) → COND_LOAD2024ARR2(i95[1] > 0 && i95[1] < i6[1] && i97[1] > 0 && i95[1] + 1 > 0, java.lang.Object(ARRAY(i6[1], a4071data[1])), i95[1], i97[1])
(2): COND_LOAD2024ARR2(TRUE, java.lang.Object(ARRAY(i6[2], a4071data[2])), i95[2], i97[2]) → LOAD2024(java.lang.Object(ARRAY(i6[2], a4071data[2])), i95[2] + 1, i97[2] + -1)

(0) -> (1), if ((i97[0]* i97[1])∧(i95[0]* i95[1])∧(java.lang.Object(ARRAY(i6[0], a4071data[0])) →* java.lang.Object(ARRAY(i6[1], a4071data[1]))))


(1) -> (2), if ((i95[1]* i95[2])∧(java.lang.Object(ARRAY(i6[1], a4071data[1])) →* java.lang.Object(ARRAY(i6[2], a4071data[2])))∧(i95[1] > 0 && i95[1] < i6[1] && i97[1] > 0 && i95[1] + 1 > 0* TRUE)∧(i97[1]* i97[2]))


(2) -> (0), if ((i97[2] + -1* i97[0])∧(i95[2] + 1* i95[0])∧(java.lang.Object(ARRAY(i6[2], a4071data[2])) →* java.lang.Object(ARRAY(i6[0], a4071data[0]))))



The set Q consists of the following terms:
Load2024(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load2024ARR2(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Cond_Load2024ARR2(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3)

(64) ItpfGraphProof (EQUIVALENT transformation)

Applied rule ItpfICap [ICap]

(65) 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): LOAD2024(java.lang.Object(ARRAY(i6[0], a4071data[0])), i95[0], i97[0]) → LOAD2024ARR2(java.lang.Object(ARRAY(i6[0], a4071data[0])), i95[0], i97[0])
(1): LOAD2024ARR2(java.lang.Object(ARRAY(i6[1], a4071data[1])), i95[1], i97[1]) → COND_LOAD2024ARR2(i95[1] > 0 && i95[1] < i6[1] && i97[1] > 0 && i95[1] + 1 > 0, java.lang.Object(ARRAY(i6[1], a4071data[1])), i95[1], i97[1])
(2): COND_LOAD2024ARR2(TRUE, java.lang.Object(ARRAY(i6[2], a4071data[2])), i95[2], i97[2]) → LOAD2024(java.lang.Object(ARRAY(i6[2], a4071data[2])), i95[2] + 1, i97[2] + -1)

(0) -> (1), if ((i97[0]* i97[1])∧(i95[0]* i95[1])∧((i6[0]* i6[1])∧(a4071data[0]* a4071data[1])))


(1) -> (2), if ((i95[1]* i95[2])∧((i6[1]* i6[2])∧(a4071data[1]* a4071data[2]))∧(i95[1] > 0 && i95[1] < i6[1] && i97[1] > 0 && i95[1] + 1 > 0* TRUE)∧(i97[1]* i97[2]))


(2) -> (0), if ((i97[2] + -1* i97[0])∧(i95[2] + 1* i95[0])∧((i6[2]* i6[0])∧(a4071data[2]* a4071data[0])))



The set Q consists of the following terms:
Load2024(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load2024ARR2(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Cond_Load2024ARR2(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3)

(66) 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 LOAD2024(java.lang.Object(ARRAY(i6, a4071data)), i95, i97) → LOAD2024ARR2(java.lang.Object(ARRAY(i6, a4071data)), i95, i97) the following chains were created:
  • We consider the chain LOAD2024(java.lang.Object(ARRAY(i6[0], a4071data[0])), i95[0], i97[0]) → LOAD2024ARR2(java.lang.Object(ARRAY(i6[0], a4071data[0])), i95[0], i97[0]), LOAD2024ARR2(java.lang.Object(ARRAY(i6[1], a4071data[1])), i95[1], i97[1]) → COND_LOAD2024ARR2(&&(&&(&&(>(i95[1], 0), <(i95[1], i6[1])), >(i97[1], 0)), >(+(i95[1], 1), 0)), java.lang.Object(ARRAY(i6[1], a4071data[1])), i95[1], i97[1]) which results in the following constraint:

    (1)    (i97[0]=i97[1]i95[0]=i95[1]i6[0]=i6[1]a4071data[0]=a4071data[1]LOAD2024(java.lang.Object(ARRAY(i6[0], a4071data[0])), i95[0], i97[0])≥NonInfC∧LOAD2024(java.lang.Object(ARRAY(i6[0], a4071data[0])), i95[0], i97[0])≥LOAD2024ARR2(java.lang.Object(ARRAY(i6[0], a4071data[0])), i95[0], i97[0])∧(UIncreasing(LOAD2024ARR2(java.lang.Object(ARRAY(i6[0], a4071data[0])), i95[0], i97[0])), ≥))



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

    (2)    (LOAD2024(java.lang.Object(ARRAY(i6[0], a4071data[0])), i95[0], i97[0])≥NonInfC∧LOAD2024(java.lang.Object(ARRAY(i6[0], a4071data[0])), i95[0], i97[0])≥LOAD2024ARR2(java.lang.Object(ARRAY(i6[0], a4071data[0])), i95[0], i97[0])∧(UIncreasing(LOAD2024ARR2(java.lang.Object(ARRAY(i6[0], a4071data[0])), i95[0], i97[0])), ≥))



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

    (3)    ((UIncreasing(LOAD2024ARR2(java.lang.Object(ARRAY(i6[0], a4071data[0])), i95[0], i97[0])), ≥)∧[(-1)bso_16] ≥ 0)



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

    (4)    ((UIncreasing(LOAD2024ARR2(java.lang.Object(ARRAY(i6[0], a4071data[0])), i95[0], i97[0])), ≥)∧[(-1)bso_16] ≥ 0)



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

    (5)    ((UIncreasing(LOAD2024ARR2(java.lang.Object(ARRAY(i6[0], a4071data[0])), i95[0], i97[0])), ≥)∧[(-1)bso_16] ≥ 0)



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

    (6)    ((UIncreasing(LOAD2024ARR2(java.lang.Object(ARRAY(i6[0], a4071data[0])), i95[0], i97[0])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_16] ≥ 0)







For Pair LOAD2024ARR2(java.lang.Object(ARRAY(i6, a4071data)), i95, i97) → COND_LOAD2024ARR2(&&(&&(&&(>(i95, 0), <(i95, i6)), >(i97, 0)), >(+(i95, 1), 0)), java.lang.Object(ARRAY(i6, a4071data)), i95, i97) the following chains were created:
  • We consider the chain LOAD2024ARR2(java.lang.Object(ARRAY(i6[1], a4071data[1])), i95[1], i97[1]) → COND_LOAD2024ARR2(&&(&&(&&(>(i95[1], 0), <(i95[1], i6[1])), >(i97[1], 0)), >(+(i95[1], 1), 0)), java.lang.Object(ARRAY(i6[1], a4071data[1])), i95[1], i97[1]), COND_LOAD2024ARR2(TRUE, java.lang.Object(ARRAY(i6[2], a4071data[2])), i95[2], i97[2]) → LOAD2024(java.lang.Object(ARRAY(i6[2], a4071data[2])), +(i95[2], 1), +(i97[2], -1)) which results in the following constraint:

    (7)    (i95[1]=i95[2]i6[1]=i6[2]a4071data[1]=a4071data[2]&&(&&(&&(>(i95[1], 0), <(i95[1], i6[1])), >(i97[1], 0)), >(+(i95[1], 1), 0))=TRUEi97[1]=i97[2]LOAD2024ARR2(java.lang.Object(ARRAY(i6[1], a4071data[1])), i95[1], i97[1])≥NonInfC∧LOAD2024ARR2(java.lang.Object(ARRAY(i6[1], a4071data[1])), i95[1], i97[1])≥COND_LOAD2024ARR2(&&(&&(&&(>(i95[1], 0), <(i95[1], i6[1])), >(i97[1], 0)), >(+(i95[1], 1), 0)), java.lang.Object(ARRAY(i6[1], a4071data[1])), i95[1], i97[1])∧(UIncreasing(COND_LOAD2024ARR2(&&(&&(&&(>(i95[1], 0), <(i95[1], i6[1])), >(i97[1], 0)), >(+(i95[1], 1), 0)), java.lang.Object(ARRAY(i6[1], a4071data[1])), i95[1], i97[1])), ≥))



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

    (8)    (>(+(i95[1], 1), 0)=TRUE>(i97[1], 0)=TRUE>(i95[1], 0)=TRUE<(i95[1], i6[1])=TRUELOAD2024ARR2(java.lang.Object(ARRAY(i6[1], a4071data[1])), i95[1], i97[1])≥NonInfC∧LOAD2024ARR2(java.lang.Object(ARRAY(i6[1], a4071data[1])), i95[1], i97[1])≥COND_LOAD2024ARR2(&&(&&(&&(>(i95[1], 0), <(i95[1], i6[1])), >(i97[1], 0)), >(+(i95[1], 1), 0)), java.lang.Object(ARRAY(i6[1], a4071data[1])), i95[1], i97[1])∧(UIncreasing(COND_LOAD2024ARR2(&&(&&(&&(>(i95[1], 0), <(i95[1], i6[1])), >(i97[1], 0)), >(+(i95[1], 1), 0)), java.lang.Object(ARRAY(i6[1], a4071data[1])), i95[1], i97[1])), ≥))



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

    (9)    (i95[1] ≥ 0∧i97[1] + [-1] ≥ 0∧i95[1] + [-1] ≥ 0∧i6[1] + [-1] + [-1]i95[1] ≥ 0 ⇒ (UIncreasing(COND_LOAD2024ARR2(&&(&&(&&(>(i95[1], 0), <(i95[1], i6[1])), >(i97[1], 0)), >(+(i95[1], 1), 0)), java.lang.Object(ARRAY(i6[1], a4071data[1])), i95[1], i97[1])), ≥)∧[(2)bni_17 + (-1)Bound*bni_17] + [(1)bni_17]i97[1] + [(-1)bni_17]i95[1] + [(1)bni_17]i6[1] ≥ 0∧[(-1)bso_18] ≥ 0)



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

    (10)    (i95[1] ≥ 0∧i97[1] + [-1] ≥ 0∧i95[1] + [-1] ≥ 0∧i6[1] + [-1] + [-1]i95[1] ≥ 0 ⇒ (UIncreasing(COND_LOAD2024ARR2(&&(&&(&&(>(i95[1], 0), <(i95[1], i6[1])), >(i97[1], 0)), >(+(i95[1], 1), 0)), java.lang.Object(ARRAY(i6[1], a4071data[1])), i95[1], i97[1])), ≥)∧[(2)bni_17 + (-1)Bound*bni_17] + [(1)bni_17]i97[1] + [(-1)bni_17]i95[1] + [(1)bni_17]i6[1] ≥ 0∧[(-1)bso_18] ≥ 0)



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

    (11)    (i95[1] ≥ 0∧i97[1] + [-1] ≥ 0∧i95[1] + [-1] ≥ 0∧i6[1] + [-1] + [-1]i95[1] ≥ 0 ⇒ (UIncreasing(COND_LOAD2024ARR2(&&(&&(&&(>(i95[1], 0), <(i95[1], i6[1])), >(i97[1], 0)), >(+(i95[1], 1), 0)), java.lang.Object(ARRAY(i6[1], a4071data[1])), i95[1], i97[1])), ≥)∧[(2)bni_17 + (-1)Bound*bni_17] + [(1)bni_17]i97[1] + [(-1)bni_17]i95[1] + [(1)bni_17]i6[1] ≥ 0∧[(-1)bso_18] ≥ 0)



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

    (12)    (i95[1] ≥ 0∧i97[1] + [-1] ≥ 0∧i95[1] + [-1] ≥ 0∧i6[1] + [-1] + [-1]i95[1] ≥ 0 ⇒ (UIncreasing(COND_LOAD2024ARR2(&&(&&(&&(>(i95[1], 0), <(i95[1], i6[1])), >(i97[1], 0)), >(+(i95[1], 1), 0)), java.lang.Object(ARRAY(i6[1], a4071data[1])), i95[1], i97[1])), ≥)∧0 = 0∧[(2)bni_17 + (-1)Bound*bni_17] + [(1)bni_17]i97[1] + [(-1)bni_17]i95[1] + [(1)bni_17]i6[1] ≥ 0∧0 = 0∧[(-1)bso_18] ≥ 0)



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

    (13)    ([1] + i95[1] ≥ 0∧i97[1] + [-1] ≥ 0∧i95[1] ≥ 0∧i6[1] + [-2] + [-1]i95[1] ≥ 0 ⇒ (UIncreasing(COND_LOAD2024ARR2(&&(&&(&&(>(i95[1], 0), <(i95[1], i6[1])), >(i97[1], 0)), >(+(i95[1], 1), 0)), java.lang.Object(ARRAY(i6[1], a4071data[1])), i95[1], i97[1])), ≥)∧0 = 0∧[bni_17 + (-1)Bound*bni_17] + [(1)bni_17]i97[1] + [(-1)bni_17]i95[1] + [(1)bni_17]i6[1] ≥ 0∧0 = 0∧[(-1)bso_18] ≥ 0)



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

    (14)    ([1] + i95[1] ≥ 0∧i97[1] ≥ 0∧i95[1] ≥ 0∧i6[1] + [-2] + [-1]i95[1] ≥ 0 ⇒ (UIncreasing(COND_LOAD2024ARR2(&&(&&(&&(>(i95[1], 0), <(i95[1], i6[1])), >(i97[1], 0)), >(+(i95[1], 1), 0)), java.lang.Object(ARRAY(i6[1], a4071data[1])), i95[1], i97[1])), ≥)∧0 = 0∧[(2)bni_17 + (-1)Bound*bni_17] + [(1)bni_17]i97[1] + [(-1)bni_17]i95[1] + [(1)bni_17]i6[1] ≥ 0∧0 = 0∧[(-1)bso_18] ≥ 0)



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

    (15)    ([1] + i95[1] ≥ 0∧i97[1] ≥ 0∧i95[1] ≥ 0∧i6[1] ≥ 0 ⇒ (UIncreasing(COND_LOAD2024ARR2(&&(&&(&&(>(i95[1], 0), <(i95[1], i6[1])), >(i97[1], 0)), >(+(i95[1], 1), 0)), java.lang.Object(ARRAY(i6[1], a4071data[1])), i95[1], i97[1])), ≥)∧0 = 0∧[(4)bni_17 + (-1)Bound*bni_17] + [(1)bni_17]i97[1] + [(1)bni_17]i6[1] ≥ 0∧0 = 0∧[(-1)bso_18] ≥ 0)







For Pair COND_LOAD2024ARR2(TRUE, java.lang.Object(ARRAY(i6, a4071data)), i95, i97) → LOAD2024(java.lang.Object(ARRAY(i6, a4071data)), +(i95, 1), +(i97, -1)) the following chains were created:
  • We consider the chain COND_LOAD2024ARR2(TRUE, java.lang.Object(ARRAY(i6[2], a4071data[2])), i95[2], i97[2]) → LOAD2024(java.lang.Object(ARRAY(i6[2], a4071data[2])), +(i95[2], 1), +(i97[2], -1)) which results in the following constraint:

    (16)    (COND_LOAD2024ARR2(TRUE, java.lang.Object(ARRAY(i6[2], a4071data[2])), i95[2], i97[2])≥NonInfC∧COND_LOAD2024ARR2(TRUE, java.lang.Object(ARRAY(i6[2], a4071data[2])), i95[2], i97[2])≥LOAD2024(java.lang.Object(ARRAY(i6[2], a4071data[2])), +(i95[2], 1), +(i97[2], -1))∧(UIncreasing(LOAD2024(java.lang.Object(ARRAY(i6[2], a4071data[2])), +(i95[2], 1), +(i97[2], -1))), ≥))



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

    (17)    ((UIncreasing(LOAD2024(java.lang.Object(ARRAY(i6[2], a4071data[2])), +(i95[2], 1), +(i97[2], -1))), ≥)∧[2 + (-1)bso_20] ≥ 0)



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

    (18)    ((UIncreasing(LOAD2024(java.lang.Object(ARRAY(i6[2], a4071data[2])), +(i95[2], 1), +(i97[2], -1))), ≥)∧[2 + (-1)bso_20] ≥ 0)



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

    (19)    ((UIncreasing(LOAD2024(java.lang.Object(ARRAY(i6[2], a4071data[2])), +(i95[2], 1), +(i97[2], -1))), ≥)∧[2 + (-1)bso_20] ≥ 0)



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

    (20)    ((UIncreasing(LOAD2024(java.lang.Object(ARRAY(i6[2], a4071data[2])), +(i95[2], 1), +(i97[2], -1))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[2 + (-1)bso_20] ≥ 0)







To summarize, we get the following constraints P for the following pairs.
  • LOAD2024(java.lang.Object(ARRAY(i6, a4071data)), i95, i97) → LOAD2024ARR2(java.lang.Object(ARRAY(i6, a4071data)), i95, i97)
    • ((UIncreasing(LOAD2024ARR2(java.lang.Object(ARRAY(i6[0], a4071data[0])), i95[0], i97[0])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_16] ≥ 0)

  • LOAD2024ARR2(java.lang.Object(ARRAY(i6, a4071data)), i95, i97) → COND_LOAD2024ARR2(&&(&&(&&(>(i95, 0), <(i95, i6)), >(i97, 0)), >(+(i95, 1), 0)), java.lang.Object(ARRAY(i6, a4071data)), i95, i97)
    • ([1] + i95[1] ≥ 0∧i97[1] ≥ 0∧i95[1] ≥ 0∧i6[1] ≥ 0 ⇒ (UIncreasing(COND_LOAD2024ARR2(&&(&&(&&(>(i95[1], 0), <(i95[1], i6[1])), >(i97[1], 0)), >(+(i95[1], 1), 0)), java.lang.Object(ARRAY(i6[1], a4071data[1])), i95[1], i97[1])), ≥)∧0 = 0∧[(4)bni_17 + (-1)Bound*bni_17] + [(1)bni_17]i97[1] + [(1)bni_17]i6[1] ≥ 0∧0 = 0∧[(-1)bso_18] ≥ 0)

  • COND_LOAD2024ARR2(TRUE, java.lang.Object(ARRAY(i6, a4071data)), i95, i97) → LOAD2024(java.lang.Object(ARRAY(i6, a4071data)), +(i95, 1), +(i97, -1))
    • ((UIncreasing(LOAD2024(java.lang.Object(ARRAY(i6[2], a4071data[2])), +(i95[2], 1), +(i97[2], -1))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[2 + (-1)bso_20] ≥ 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(LOAD2024(x1, x2, x3)) = [1] + x3 + [-1]x2 + [-1]x1   
POL(java.lang.Object(x1)) = x1   
POL(ARRAY(x1, x2)) = [-1] + [-1]x1   
POL(LOAD2024ARR2(x1, x2, x3)) = [1] + x3 + [-1]x2 + [-1]x1   
POL(COND_LOAD2024ARR2(x1, x2, x3, x4)) = [1] + x4 + [-1]x3 + [-1]x2   
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]   

The following pairs are in P>:

COND_LOAD2024ARR2(TRUE, java.lang.Object(ARRAY(i6[2], a4071data[2])), i95[2], i97[2]) → LOAD2024(java.lang.Object(ARRAY(i6[2], a4071data[2])), +(i95[2], 1), +(i97[2], -1))

The following pairs are in Pbound:

LOAD2024ARR2(java.lang.Object(ARRAY(i6[1], a4071data[1])), i95[1], i97[1]) → COND_LOAD2024ARR2(&&(&&(&&(>(i95[1], 0), <(i95[1], i6[1])), >(i97[1], 0)), >(+(i95[1], 1), 0)), java.lang.Object(ARRAY(i6[1], a4071data[1])), i95[1], i97[1])

The following pairs are in P:

LOAD2024(java.lang.Object(ARRAY(i6[0], a4071data[0])), i95[0], i97[0]) → LOAD2024ARR2(java.lang.Object(ARRAY(i6[0], a4071data[0])), i95[0], i97[0])
LOAD2024ARR2(java.lang.Object(ARRAY(i6[1], a4071data[1])), i95[1], i97[1]) → COND_LOAD2024ARR2(&&(&&(&&(>(i95[1], 0), <(i95[1], i6[1])), >(i97[1], 0)), >(+(i95[1], 1), 0)), java.lang.Object(ARRAY(i6[1], a4071data[1])), i95[1], i97[1])

There are no usable rules.

(67) Complex Obligation (AND)

(68) 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): LOAD2024(java.lang.Object(ARRAY(i6[0], a4071data[0])), i95[0], i97[0]) → LOAD2024ARR2(java.lang.Object(ARRAY(i6[0], a4071data[0])), i95[0], i97[0])
(1): LOAD2024ARR2(java.lang.Object(ARRAY(i6[1], a4071data[1])), i95[1], i97[1]) → COND_LOAD2024ARR2(i95[1] > 0 && i95[1] < i6[1] && i97[1] > 0 && i95[1] + 1 > 0, java.lang.Object(ARRAY(i6[1], a4071data[1])), i95[1], i97[1])

(0) -> (1), if ((i97[0]* i97[1])∧(i95[0]* i95[1])∧((i6[0]* i6[1])∧(a4071data[0]* a4071data[1])))



The set Q consists of the following terms:
Load2024(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load2024ARR2(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Cond_Load2024ARR2(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3)

(69) IDependencyGraphProof (EQUIVALENT transformation)

The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 0 SCCs with 2 less nodes.

(70) TRUE

(71) Obligation:

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


The following domains are used:

Integer


R is empty.

The integer pair graph contains the following rules and edges:
(0): LOAD2024(java.lang.Object(ARRAY(i6[0], a4071data[0])), i95[0], i97[0]) → LOAD2024ARR2(java.lang.Object(ARRAY(i6[0], a4071data[0])), i95[0], i97[0])
(2): COND_LOAD2024ARR2(TRUE, java.lang.Object(ARRAY(i6[2], a4071data[2])), i95[2], i97[2]) → LOAD2024(java.lang.Object(ARRAY(i6[2], a4071data[2])), i95[2] + 1, i97[2] + -1)

(2) -> (0), if ((i97[2] + -1* i97[0])∧(i95[2] + 1* i95[0])∧((i6[2]* i6[0])∧(a4071data[2]* a4071data[0])))



The set Q consists of the following terms:
Load2024(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load2024ARR2(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Cond_Load2024ARR2(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3)

(72) IDependencyGraphProof (EQUIVALENT transformation)

The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 0 SCCs with 2 less nodes.

(73) TRUE