Termination proof of /tmp/tmpHmBEQz/Test5.jar

Termination of the given JBC could be proven:

0 JBC

↳1 JBCToGraph (⇒, 580 ms)

↳2 JBCTerminationGraph

↳3 TerminationGraphToSCCProof (⇒, 0 ms)

↳4 AND

    ↳5 JBCTerminationSCC

        ↳6 SCCToIDPv1Proof (⇒, 880 ms)

        ↳7 IDP

        ↳8 IDPtoQDPProof (⇒, 0 ms)

        ↳9 QDP

        ↳10 QDPSizeChangeProof (⇔, 0 ms)

        ↳11 YES

    ↳12 JBCTerminationSCC

        ↳13 SCCToIDPv1Proof (⇒, 100 ms)

        ↳14 IDP

        ↳15 IDPtoQDPProof (⇒, 0 ms)

        ↳16 QDP

        ↳17 QDPSizeChangeProof (⇔, 0 ms)

        ↳18 YES

    ↳19 JBCTerminationSCC

        ↳20 SCCToIDPv1Proof (⇒, 80 ms)

        ↳21 IDP

        ↳22 IDPNonInfProof (⇒, 160 ms)

        ↳23 AND

            ↳24 IDP

                ↳25 IDependencyGraphProof (⇔, 0 ms)

                ↳26 TRUE

            ↳27 IDP

                ↳28 IDependencyGraphProof (⇔, 0 ms)

                ↳29 TRUE

    ↳30 JBCTerminationSCC

        ↳31 SCCToIDPv1Proof (⇒, 1680 ms)

        ↳32 IDP

        ↳33 IDPNonInfProof (⇒, 5700 ms)

        ↳34 AND

            ↳35 IDP

                ↳36 IDependencyGraphProof (⇔, 0 ms)

                ↳37 IDP

                ↳38 UsableRulesProof (⇔, 0 ms)

                ↳39 IDP

                ↳40 IDPNonInfProof (⇒, 4210 ms)

                ↳41 AND

                    ↳42 IDP

                        ↳43 IDPNonInfProof (⇒, 3030 ms)

                        ↳44 IDP

                        ↳45 IDependencyGraphProof (⇔, 0 ms)

                        ↳46 IDP

                        ↳47 IDPNonInfProof (⇒, 2490 ms)

                        ↳48 AND

                            ↳49 IDP

                                ↳50 IDependencyGraphProof (⇔, 0 ms)

                                ↳51 IDP

                                ↳52 IDPNonInfProof (⇒, 670 ms)

                                ↳53 IDP

                                ↳54 IDependencyGraphProof (⇔, 0 ms)

                                ↳55 TRUE

                            ↳56 IDP

                                ↳57 IDependencyGraphProof (⇔, 0 ms)

                                ↳58 TRUE

                    ↳59 IDP

                        ↳60 IDependencyGraphProof (⇔, 0 ms)

                        ↳61 TRUE

            ↳62 IDP

                ↳63 IDependencyGraphProof (⇔, 0 ms)

                ↳64 TRUE

(0) Obligation:

JBC Problem based on JBC Program:
Manifest-Version: 1.0 Created-By: 1.6.0_20 (Apple Inc.) Main-Class: Test5

public class Test5 {
    public static void main(String[] args) {
	List l1 = List.mk(args.length);
	List l2 = List.mk(args.length + 3);
	List l3 = List.mk(args.length + 5);
	List temp;

	while (length(l1) > 0) {
	    temp = l1;
	    l1 = l2;
	    l2 = l3;
	    l3 = temp;

	    if (length(l2) % 3 == 0)
		temp = temp.getTail();

	    if (length(l3) % 5 == 0)
		l3 = l3.getTail();

	    if (length(l1) > length(l2))
		l1 = l1.getTail();
	    else if (length(l1) == length(l2))
		l2 = l2.getTail();
	    else
		l3 = l3.getTail();

	    test(l1, l2, l3);
	}
    }

    private static int length(List list) {
	int len = 0;

	while (list != null) {
	    list = list.getTail();
	    len++;
	}

	return len;
    }

    private static void test(List l1, List l2, List l3) {
	while (l1 != null) {
	    l2 = new List(l1, l2);
	    l3 = new List(l2, l3);
	    l1 = l1.getTail();
	}
    }
}

public class List {
    public Object head;
    private List tail;

    public List(Object head, List tail) {
	this.head = head;
	this.tail = tail;
    }

    public List getTail() {
	return tail;
    }

    public static List mk(int len) {
	List result = null;

	while (len-- > 0)
	    result = new List(new Object(), result);

	return result;
    }
}

(1) JBCToGraph (SOUND transformation)

Constructed TerminationGraph.

(2) Obligation:

Termination Graph based on JBC Program:
Test5.main([Ljava/lang/String;)V: Graph of 292 nodes with 1 SCC.

List.mk(I)LList;: Graph of 33 nodes with 1 SCC.

Test5.length(LList;)I: Graph of 31 nodes with 1 SCC.

Test5.test(LList;LList;LList;)V: Graph of 54 nodes with 1 SCC.

(3) TerminationGraphToSCCProof (SOUND transformation)

Splitted TerminationGraph to 4 SCCss.

(4) Complex Obligation (AND)

(5) Obligation:

SCC of termination graph based on JBC Program.
SCC contains nodes from the following methods: Test5.test(LList;LList;LList;)V
SCC calls the following helper methods:
Performed SCC analyses: UsedFieldsAnalysis

(6) SCCToIDPv1Proof (SOUND transformation)

Transformed FIGraph SCCs to IDPs. Log:

Generated 50 rules for P and 0 rules for R.

P rules:
1518_0_test_NULL(EOS(STATIC_1518), java.lang.Object(o921sub), o903, o904, java.lang.Object(o921sub)) → 1519_0_test_NULL(EOS(STATIC_1519), java.lang.Object(o921sub), o903, o904, java.lang.Object(o921sub))
1519_0_test_NULL(EOS(STATIC_1519), java.lang.Object(o921sub), o903, o904, java.lang.Object(o921sub)) → 1521_0_test_New(EOS(STATIC_1521), java.lang.Object(o921sub), o903, o904)
1521_0_test_New(EOS(STATIC_1521), java.lang.Object(o921sub), o903, o904) → 1523_0_test_Duplicate(EOS(STATIC_1523), java.lang.Object(o921sub), o903, o904, java.lang.Object(List(EOC, NULL)))
1523_0_test_Duplicate(EOS(STATIC_1523), java.lang.Object(o921sub), o903, o904, java.lang.Object(List(EOC, NULL))) → 1525_0_test_Load(EOS(STATIC_1525), java.lang.Object(o921sub), o903, o904, java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, NULL)))
1525_0_test_Load(EOS(STATIC_1525), java.lang.Object(o921sub), o903, o904, java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, NULL))) → 1526_0_test_Load(EOS(STATIC_1526), java.lang.Object(o921sub), o903, o904, java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, NULL)), java.lang.Object(o921sub))
1526_0_test_Load(EOS(STATIC_1526), java.lang.Object(o921sub), o903, o904, java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, NULL)), java.lang.Object(o921sub)) → 1528_0_test_InvokeMethod(EOS(STATIC_1528), java.lang.Object(o921sub), o904, java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, NULL)), java.lang.Object(o921sub), o903)
1528_0_test_InvokeMethod(EOS(STATIC_1528), java.lang.Object(o921sub), o904, java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, NULL)), java.lang.Object(o921sub), o903) → 1529_0_<init>_Load(EOS(STATIC_1529), java.lang.Object(o921sub), o904, java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, NULL)), java.lang.Object(o921sub), o903, java.lang.Object(List(EOC, NULL)), java.lang.Object(o921sub), o903)
1529_0_<init>_Load(EOS(STATIC_1529), java.lang.Object(o921sub), o904, java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, NULL)), java.lang.Object(o921sub), o903, java.lang.Object(List(EOC, NULL)), java.lang.Object(o921sub), o903) → 1530_0_<init>_InvokeMethod(EOS(STATIC_1530), java.lang.Object(o921sub), o904, java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, NULL)), java.lang.Object(o921sub), o903, java.lang.Object(List(EOC, NULL)), java.lang.Object(o921sub), o903, java.lang.Object(List(EOC, NULL)))
1530_0_<init>_InvokeMethod(EOS(STATIC_1530), java.lang.Object(o921sub), o904, java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, NULL)), java.lang.Object(o921sub), o903, java.lang.Object(List(EOC, NULL)), java.lang.Object(o921sub), o903, java.lang.Object(List(EOC, NULL))) → 1531_0_<init>_Load(EOS(STATIC_1531), java.lang.Object(o921sub), o904, java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, NULL)), java.lang.Object(o921sub), o903, java.lang.Object(List(EOC, NULL)), java.lang.Object(o921sub), o903)
1531_0_<init>_Load(EOS(STATIC_1531), java.lang.Object(o921sub), o904, java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, NULL)), java.lang.Object(o921sub), o903, java.lang.Object(List(EOC, NULL)), java.lang.Object(o921sub), o903) → 1533_0_<init>_Load(EOS(STATIC_1533), java.lang.Object(o921sub), o904, java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, NULL)), java.lang.Object(o921sub), o903, java.lang.Object(List(EOC, NULL)), java.lang.Object(o921sub), o903, java.lang.Object(List(EOC, NULL)))
1533_0_<init>_Load(EOS(STATIC_1533), java.lang.Object(o921sub), o904, java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, NULL)), java.lang.Object(o921sub), o903, java.lang.Object(List(EOC, NULL)), java.lang.Object(o921sub), o903, java.lang.Object(List(EOC, NULL))) → 1534_0_<init>_FieldAccess(EOS(STATIC_1534), java.lang.Object(o921sub), o904, java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, NULL)), java.lang.Object(o921sub), o903, java.lang.Object(List(EOC, NULL)), o903, java.lang.Object(List(EOC, NULL)), java.lang.Object(o921sub))
1534_0_<init>_FieldAccess(EOS(STATIC_1534), java.lang.Object(o921sub), o904, java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, NULL)), java.lang.Object(o921sub), o903, java.lang.Object(List(EOC, NULL)), o903, java.lang.Object(List(EOC, NULL)), java.lang.Object(o921sub)) → 1537_0_<init>_Load(EOS(STATIC_1537), java.lang.Object(o921sub), o904, java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, NULL)), java.lang.Object(o921sub), o903, java.lang.Object(List(EOC, NULL)), o903)
1537_0_<init>_Load(EOS(STATIC_1537), java.lang.Object(o921sub), o904, java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, NULL)), java.lang.Object(o921sub), o903, java.lang.Object(List(EOC, NULL)), o903) → 1539_0_<init>_Load(EOS(STATIC_1539), java.lang.Object(o921sub), o904, java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, NULL)), java.lang.Object(o921sub), o903, o903, java.lang.Object(List(EOC, NULL)))
1539_0_<init>_Load(EOS(STATIC_1539), java.lang.Object(o921sub), o904, java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, NULL)), java.lang.Object(o921sub), o903, o903, java.lang.Object(List(EOC, NULL))) → 1540_0_<init>_FieldAccess(EOS(STATIC_1540), java.lang.Object(o921sub), o904, java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, NULL)), java.lang.Object(o921sub), o903, java.lang.Object(List(EOC, NULL)), o903)
1540_0_<init>_FieldAccess(EOS(STATIC_1540), java.lang.Object(o921sub), o904, java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, NULL)), java.lang.Object(o921sub), o903, java.lang.Object(List(EOC, NULL)), o903) → 1544_0_<init>_Return(EOS(STATIC_1544), java.lang.Object(o921sub), o904, java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, o903)), java.lang.Object(o921sub), o903)
1544_0_<init>_Return(EOS(STATIC_1544), java.lang.Object(o921sub), o904, java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, o903)), java.lang.Object(o921sub), o903) → 1545_0_test_Store(EOS(STATIC_1545), java.lang.Object(o921sub), o904, java.lang.Object(List(EOC, o903)))
1545_0_test_Store(EOS(STATIC_1545), java.lang.Object(o921sub), o904, java.lang.Object(List(EOC, o903))) → 1547_0_test_New(EOS(STATIC_1547), java.lang.Object(o921sub), java.lang.Object(List(EOC, o903)), o904)
1547_0_test_New(EOS(STATIC_1547), java.lang.Object(o921sub), java.lang.Object(List(EOC, o903)), o904) → 1548_0_test_Duplicate(EOS(STATIC_1548), java.lang.Object(o921sub), java.lang.Object(List(EOC, o903)), o904, java.lang.Object(List(EOC, NULL)))
1548_0_test_Duplicate(EOS(STATIC_1548), java.lang.Object(o921sub), java.lang.Object(List(EOC, o903)), o904, java.lang.Object(List(EOC, NULL))) → 1549_0_test_Load(EOS(STATIC_1549), java.lang.Object(o921sub), java.lang.Object(List(EOC, o903)), o904, java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, NULL)))
1549_0_test_Load(EOS(STATIC_1549), java.lang.Object(o921sub), java.lang.Object(List(EOC, o903)), o904, java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, NULL))) → 1551_0_test_Load(EOS(STATIC_1551), java.lang.Object(o921sub), java.lang.Object(List(EOC, o903)), o904, java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, o903)))
1551_0_test_Load(EOS(STATIC_1551), java.lang.Object(o921sub), java.lang.Object(List(EOC, o903)), o904, java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, o903))) → 1552_0_test_InvokeMethod(EOS(STATIC_1552), java.lang.Object(o921sub), java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, o903)), o904)
1552_0_test_InvokeMethod(EOS(STATIC_1552), java.lang.Object(o921sub), java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, o903)), o904) → 1554_0_<init>_Load(EOS(STATIC_1554), java.lang.Object(o921sub), java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, o903)), o904, java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, o903)), o904)
1554_0_<init>_Load(EOS(STATIC_1554), java.lang.Object(o921sub), java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, o903)), o904, java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, o903)), o904) → 1555_0_<init>_InvokeMethod(EOS(STATIC_1555), java.lang.Object(o921sub), java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, o903)), o904, java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, o903)), o904, java.lang.Object(List(EOC, NULL)))
1555_0_<init>_InvokeMethod(EOS(STATIC_1555), java.lang.Object(o921sub), java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, o903)), o904, java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, o903)), o904, java.lang.Object(List(EOC, NULL))) → 1558_0_<init>_Load(EOS(STATIC_1558), java.lang.Object(o921sub), java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, o903)), o904, java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, o903)), o904)
1558_0_<init>_Load(EOS(STATIC_1558), java.lang.Object(o921sub), java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, o903)), o904, java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, o903)), o904) → 1559_0_<init>_Load(EOS(STATIC_1559), java.lang.Object(o921sub), java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, o903)), o904, java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, o903)), o904, java.lang.Object(List(EOC, NULL)))
1559_0_<init>_Load(EOS(STATIC_1559), java.lang.Object(o921sub), java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, o903)), o904, java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, o903)), o904, java.lang.Object(List(EOC, NULL))) → 1561_0_<init>_FieldAccess(EOS(STATIC_1561), java.lang.Object(o921sub), java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, o903)), o904, java.lang.Object(List(EOC, NULL)), o904, java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, o903)))
1561_0_<init>_FieldAccess(EOS(STATIC_1561), java.lang.Object(o921sub), java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, o903)), o904, java.lang.Object(List(EOC, NULL)), o904, java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, o903))) → 1568_0_<init>_Load(EOS(STATIC_1568), java.lang.Object(o921sub), java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, o903)), o904, java.lang.Object(List(EOC, NULL)), o904)
1568_0_<init>_Load(EOS(STATIC_1568), java.lang.Object(o921sub), java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, o903)), o904, java.lang.Object(List(EOC, NULL)), o904) → 1570_0_<init>_Load(EOS(STATIC_1570), java.lang.Object(o921sub), java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, o903)), o904, o904, java.lang.Object(List(EOC, NULL)))
1570_0_<init>_Load(EOS(STATIC_1570), java.lang.Object(o921sub), java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, o903)), o904, o904, java.lang.Object(List(EOC, NULL))) → 1571_0_<init>_FieldAccess(EOS(STATIC_1571), java.lang.Object(o921sub), java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, o903)), o904, java.lang.Object(List(EOC, NULL)), o904)
1571_0_<init>_FieldAccess(EOS(STATIC_1571), java.lang.Object(o921sub), java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, o903)), o904, java.lang.Object(List(EOC, NULL)), o904) → 1576_0_<init>_Return(EOS(STATIC_1576), java.lang.Object(o921sub), java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, o904)), java.lang.Object(List(EOC, o904)), java.lang.Object(List(EOC, o903)), o904)
1576_0_<init>_Return(EOS(STATIC_1576), java.lang.Object(o921sub), java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, o904)), java.lang.Object(List(EOC, o904)), java.lang.Object(List(EOC, o903)), o904) → 1577_0_test_Store(EOS(STATIC_1577), java.lang.Object(o921sub), java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, o904)))
1577_0_test_Store(EOS(STATIC_1577), java.lang.Object(o921sub), java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, o904))) → 1579_0_test_Load(EOS(STATIC_1579), java.lang.Object(o921sub), java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, o904)))
1579_0_test_Load(EOS(STATIC_1579), java.lang.Object(o921sub), java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, o904))) → 1581_0_test_InvokeMethod(EOS(STATIC_1581), java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, o904)), java.lang.Object(o921sub))
1581_0_test_InvokeMethod(EOS(STATIC_1581), java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, o904)), java.lang.Object(o921sub)) → 1583_0_getTail_Load(EOS(STATIC_1583), java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, o904)), java.lang.Object(o921sub), java.lang.Object(o921sub))
1583_0_getTail_Load(EOS(STATIC_1583), java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, o904)), java.lang.Object(o921sub), java.lang.Object(o921sub)) → 1586_0_getTail_FieldAccess(EOS(STATIC_1586), java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, o904)), java.lang.Object(o921sub), java.lang.Object(o921sub))
1586_0_getTail_FieldAccess(EOS(STATIC_1586), java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, o904)), java.lang.Object(o921sub), java.lang.Object(o921sub)) → 1588_0_getTail_FieldAccess(EOS(STATIC_1588), java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, o904)), java.lang.Object(o921sub), java.lang.Object(o921sub))
1586_0_getTail_FieldAccess(EOS(STATIC_1586), java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, o904)), java.lang.Object(o921sub), java.lang.Object(o921sub)) → 1589_0_getTail_FieldAccess(EOS(STATIC_1589), java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, o904)), java.lang.Object(o921sub), java.lang.Object(o921sub))
1588_0_getTail_FieldAccess(EOS(STATIC_1588), java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, o904)), java.lang.Object(List(EOC, o977)), java.lang.Object(List(EOC, o977))) → 1591_0_getTail_FieldAccess(EOS(STATIC_1591), java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, o904)), java.lang.Object(List(EOC, o977)), java.lang.Object(List(EOC, o977)))
1591_0_getTail_FieldAccess(EOS(STATIC_1591), java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, o904)), java.lang.Object(List(EOC, o977)), java.lang.Object(List(EOC, o977))) → 1594_0_getTail_Return(EOS(STATIC_1594), java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, o904)), java.lang.Object(List(EOC, o977)), o977)
1594_0_getTail_Return(EOS(STATIC_1594), java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, o904)), java.lang.Object(List(EOC, o977)), o977) → 1597_0_test_Store(EOS(STATIC_1597), java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, o904)), o977)
1597_0_test_Store(EOS(STATIC_1597), java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, o904)), o977) → 1600_0_test_JMP(EOS(STATIC_1600), o977, java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, o904)))
1600_0_test_JMP(EOS(STATIC_1600), o977, java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, o904))) → 1612_0_test_Load(EOS(STATIC_1612), o977, java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, o904)))
1612_0_test_Load(EOS(STATIC_1612), o977, java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, o904))) → 1516_0_test_Load(EOS(STATIC_1516), o977, java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, o904)))
1516_0_test_Load(EOS(STATIC_1516), o902, o903, o904) → 1518_0_test_NULL(EOS(STATIC_1518), o902, o903, o904, o902)
1589_0_getTail_FieldAccess(EOS(STATIC_1589), java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, o904)), java.lang.Object(List(EOC, o980)), java.lang.Object(List(EOC, o980))) → 1592_0_getTail_FieldAccess(EOS(STATIC_1592), java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, o904)), java.lang.Object(List(EOC, o980)), java.lang.Object(List(EOC, o980)))
1592_0_getTail_FieldAccess(EOS(STATIC_1592), java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, o904)), java.lang.Object(List(EOC, o980)), java.lang.Object(List(EOC, o980))) → 1595_0_getTail_Return(EOS(STATIC_1595), java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, o904)), java.lang.Object(List(EOC, o980)), o980)
1595_0_getTail_Return(EOS(STATIC_1595), java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, o904)), java.lang.Object(List(EOC, o980)), o980) → 1598_0_test_Store(EOS(STATIC_1598), java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, o904)), o980)
1598_0_test_Store(EOS(STATIC_1598), java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, o904)), o980) → 1601_0_test_JMP(EOS(STATIC_1601), o980, java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, o904)))
1601_0_test_JMP(EOS(STATIC_1601), o980, java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, o904))) → 1624_0_test_Load(EOS(STATIC_1624), o980, java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, o904)))
1624_0_test_Load(EOS(STATIC_1624), o980, java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, o904))) → 1516_0_test_Load(EOS(STATIC_1516), o980, java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, o904)))
R rules:

Combined rules. Obtained 1 conditional rules for P and 0 conditional rules for R.

P rules:
1518_0_test_NULL(EOS(STATIC_1518), java.lang.Object(List(EOC, x0)), x1, x2, java.lang.Object(List(EOC, x0))) → 1518_0_test_NULL(EOS(STATIC_1518), x0, java.lang.Object(List(EOC, x1)), java.lang.Object(List(EOC, x2)), x0)
R rules:

Filtered ground terms:

1518_0_test_NULL(x1, x2, x3, x4, x5) → 1518_0_test_NULL(x2, x3, x4, x5)
List(x1, x2) → List(x2)
EOS(x1) → EOS

Filtered duplicate args:

1518_0_test_NULL(x1, x2, x3, x4) → 1518_0_test_NULL(x2, x3, x4)

Filtered unneeded arguments:

1518_0_test_NULL(x1, x2, x3) → 1518_0_test_NULL(x3)

Combined rules. Obtained 1 conditional rules for P and 0 conditional rules for R.

P rules:
1518_0_test_NULL(java.lang.Object(List(x0))) → 1518_0_test_NULL(x0)
R rules:

Finished conversion. Obtained 1 rules for P and 0 rules for R. System has no predefined symbols.

P rules:
1518_0_TEST_NULL(java.lang.Object(List(x0))) → 1518_0_TEST_NULL(x0)
R rules:

(7) 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 contains the following rules and edges:
(0): 1518_0_TEST_NULL(java.lang.Object(List(x0[0]))) → 1518_0_TEST_NULL(x0[0])

(0) -> (0), if (x0[0] →^* java.lang.Object(List(x0[0]')))

The set Q is empty.

(8) IDPtoQDPProof (SOUND transformation)

Represented integers and predefined function symbols by Terms

(9) Obligation:

Q DP problem:
The TRS P consists of the following rules:

1518_0_TEST_NULL(java.lang.Object(List(x0[0]))) → 1518_0_TEST_NULL(x0[0])

R is empty.
Q is empty.
We have to consider all minimal (P,Q,R)-chains.

(10) QDPSizeChangeProof (EQUIVALENT transformation)

By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs:

1518_0_TEST_NULL(java.lang.Object(List(x0[0]))) → 1518_0_TEST_NULL(x0[0])
The graph contains the following edges 1 > 1

(11) YES

(12) Obligation:

SCC of termination graph based on JBC Program.
SCC contains nodes from the following methods: Test5.length(LList;)I
SCC calls the following helper methods:
Performed SCC analyses: UsedFieldsAnalysis

(13) SCCToIDPv1Proof (SOUND transformation)

Transformed FIGraph SCCs to IDPs. Log:

Generated 22 rules for P and 0 rules for R.

P rules:
820_0_length_NULL(EOS(STATIC_820), java.lang.Object(o227sub), java.lang.Object(o227sub)) → 823_0_length_NULL(EOS(STATIC_823), java.lang.Object(o227sub), java.lang.Object(o227sub))
823_0_length_NULL(EOS(STATIC_823), java.lang.Object(o227sub), java.lang.Object(o227sub)) → 828_0_length_Load(EOS(STATIC_828), java.lang.Object(o227sub))
828_0_length_Load(EOS(STATIC_828), java.lang.Object(o227sub)) → 833_0_length_InvokeMethod(EOS(STATIC_833), java.lang.Object(o227sub))
833_0_length_InvokeMethod(EOS(STATIC_833), java.lang.Object(o227sub)) → 837_0_getTail_Load(EOS(STATIC_837), java.lang.Object(o227sub), java.lang.Object(o227sub))
837_0_getTail_Load(EOS(STATIC_837), java.lang.Object(o227sub), java.lang.Object(o227sub)) → 847_0_getTail_FieldAccess(EOS(STATIC_847), java.lang.Object(o227sub), java.lang.Object(o227sub))
847_0_getTail_FieldAccess(EOS(STATIC_847), java.lang.Object(o227sub), java.lang.Object(o227sub)) → 854_0_getTail_FieldAccess(EOS(STATIC_854), java.lang.Object(o227sub), java.lang.Object(o227sub))
847_0_getTail_FieldAccess(EOS(STATIC_847), java.lang.Object(o227sub), java.lang.Object(o227sub)) → 855_0_getTail_FieldAccess(EOS(STATIC_855), java.lang.Object(o227sub), java.lang.Object(o227sub))
854_0_getTail_FieldAccess(EOS(STATIC_854), java.lang.Object(List(EOC, o236)), java.lang.Object(List(EOC, o236))) → 856_0_getTail_FieldAccess(EOS(STATIC_856), java.lang.Object(List(EOC, o236)), java.lang.Object(List(EOC, o236)))
856_0_getTail_FieldAccess(EOS(STATIC_856), java.lang.Object(List(EOC, o236)), java.lang.Object(List(EOC, o236))) → 862_0_getTail_Return(EOS(STATIC_862), java.lang.Object(List(EOC, o236)), o236)
862_0_getTail_Return(EOS(STATIC_862), java.lang.Object(List(EOC, o236)), o236) → 867_0_length_Store(EOS(STATIC_867), o236)
867_0_length_Store(EOS(STATIC_867), o236) → 872_0_length_Inc(EOS(STATIC_872), o236)
872_0_length_Inc(EOS(STATIC_872), o236) → 875_0_length_JMP(EOS(STATIC_875), o236)
875_0_length_JMP(EOS(STATIC_875), o236) → 883_0_length_Load(EOS(STATIC_883), o236)
883_0_length_Load(EOS(STATIC_883), o236) → 815_0_length_Load(EOS(STATIC_815), o236)
815_0_length_Load(EOS(STATIC_815), o219) → 820_0_length_NULL(EOS(STATIC_820), o219, o219)
855_0_getTail_FieldAccess(EOS(STATIC_855), java.lang.Object(List(EOC, o239)), java.lang.Object(List(EOC, o239))) → 857_0_getTail_FieldAccess(EOS(STATIC_857), java.lang.Object(List(EOC, o239)), java.lang.Object(List(EOC, o239)))
857_0_getTail_FieldAccess(EOS(STATIC_857), java.lang.Object(List(EOC, o239)), java.lang.Object(List(EOC, o239))) → 864_0_getTail_Return(EOS(STATIC_864), java.lang.Object(List(EOC, o239)), o239)
864_0_getTail_Return(EOS(STATIC_864), java.lang.Object(List(EOC, o239)), o239) → 868_0_length_Store(EOS(STATIC_868), o239)
868_0_length_Store(EOS(STATIC_868), o239) → 873_0_length_Inc(EOS(STATIC_873), o239)
873_0_length_Inc(EOS(STATIC_873), o239) → 877_0_length_JMP(EOS(STATIC_877), o239)
877_0_length_JMP(EOS(STATIC_877), o239) → 886_0_length_Load(EOS(STATIC_886), o239)
886_0_length_Load(EOS(STATIC_886), o239) → 815_0_length_Load(EOS(STATIC_815), o239)
R rules:

Combined rules. Obtained 1 conditional rules for P and 0 conditional rules for R.

P rules:
820_0_length_NULL(EOS(STATIC_820), java.lang.Object(List(EOC, x0)), java.lang.Object(List(EOC, x0))) → 820_0_length_NULL(EOS(STATIC_820), x0, x0)
R rules:

Filtered ground terms:

820_0_length_NULL(x1, x2, x3) → 820_0_length_NULL(x2, x3)
EOS(x1) → EOS
List(x1, x2) → List(x2)

Filtered duplicate args:

820_0_length_NULL(x1, x2) → 820_0_length_NULL(x2)

Combined rules. Obtained 1 conditional rules for P and 0 conditional rules for R.

P rules:
820_0_length_NULL(java.lang.Object(List(x0))) → 820_0_length_NULL(x0)
R rules:

Finished conversion. Obtained 1 rules for P and 0 rules for R. System has no predefined symbols.

P rules:
820_0_LENGTH_NULL(java.lang.Object(List(x0))) → 820_0_LENGTH_NULL(x0)
R rules:

(14) 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 contains the following rules and edges:
(0): 820_0_LENGTH_NULL(java.lang.Object(List(x0[0]))) → 820_0_LENGTH_NULL(x0[0])

(0) -> (0), if (x0[0] →^* java.lang.Object(List(x0[0]')))

The set Q is empty.

(15) IDPtoQDPProof (SOUND transformation)

Represented integers and predefined function symbols by Terms

(16) Obligation:

Q DP problem:
The TRS P consists of the following rules:

820_0_LENGTH_NULL(java.lang.Object(List(x0[0]))) → 820_0_LENGTH_NULL(x0[0])

R is empty.
Q is empty.
We have to consider all minimal (P,Q,R)-chains.

(17) QDPSizeChangeProof (EQUIVALENT transformation)

By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs:

820_0_LENGTH_NULL(java.lang.Object(List(x0[0]))) → 820_0_LENGTH_NULL(x0[0])
The graph contains the following edges 1 > 1

(18) YES

(19) Obligation:

SCC of termination graph based on JBC Program.
SCC contains nodes from the following methods: List.mk(I)LList;
SCC calls the following helper methods:
Performed SCC analyses: UsedFieldsAnalysis

(20) SCCToIDPv1Proof (SOUND transformation)

Transformed FIGraph SCCs to IDPs. Log:

Generated 23 rules for P and 0 rules for R.

P rules:
611_0_mk_Inc(EOS(STATIC_611), i78, i78) → 617_0_mk_LE(EOS(STATIC_617), +(i78, -1), i78)
617_0_mk_LE(EOS(STATIC_617), i80, i84) → 625_0_mk_LE(EOS(STATIC_625), i80, i84)
625_0_mk_LE(EOS(STATIC_625), i80, i84) → 632_0_mk_New(EOS(STATIC_632), i80) | >(i84, 0)
632_0_mk_New(EOS(STATIC_632), i80) → 644_0_mk_Duplicate(EOS(STATIC_644), i80)
644_0_mk_Duplicate(EOS(STATIC_644), i80) → 651_0_mk_New(EOS(STATIC_651), i80)
651_0_mk_New(EOS(STATIC_651), i80) → 668_0_mk_Duplicate(EOS(STATIC_668), i80)
668_0_mk_Duplicate(EOS(STATIC_668), i80) → 686_0_mk_InvokeMethod(EOS(STATIC_686), i80)
686_0_mk_InvokeMethod(EOS(STATIC_686), i80) → 694_0_mk_Load(EOS(STATIC_694), i80)
694_0_mk_Load(EOS(STATIC_694), i80) → 701_0_mk_InvokeMethod(EOS(STATIC_701), i80)
701_0_mk_InvokeMethod(EOS(STATIC_701), i80) → 708_0_<init>_Load(EOS(STATIC_708), i80)
708_0_<init>_Load(EOS(STATIC_708), i80) → 724_0_<init>_InvokeMethod(EOS(STATIC_724), i80)
724_0_<init>_InvokeMethod(EOS(STATIC_724), i80) → 729_0_<init>_Load(EOS(STATIC_729), i80)
729_0_<init>_Load(EOS(STATIC_729), i80) → 735_0_<init>_Load(EOS(STATIC_735), i80)
735_0_<init>_Load(EOS(STATIC_735), i80) → 742_0_<init>_FieldAccess(EOS(STATIC_742), i80)
742_0_<init>_FieldAccess(EOS(STATIC_742), i80) → 748_0_<init>_Load(EOS(STATIC_748), i80)
748_0_<init>_Load(EOS(STATIC_748), i80) → 755_0_<init>_Load(EOS(STATIC_755), i80)
755_0_<init>_Load(EOS(STATIC_755), i80) → 765_0_<init>_FieldAccess(EOS(STATIC_765), i80)
765_0_<init>_FieldAccess(EOS(STATIC_765), i80) → 772_0_<init>_Return(EOS(STATIC_772), i80)
772_0_<init>_Return(EOS(STATIC_772), i80) → 780_0_mk_Store(EOS(STATIC_780), i80)
780_0_mk_Store(EOS(STATIC_780), i80) → 789_0_mk_JMP(EOS(STATIC_789), i80)
789_0_mk_JMP(EOS(STATIC_789), i80) → 798_0_mk_Load(EOS(STATIC_798), i80)
798_0_mk_Load(EOS(STATIC_798), i80) → 603_0_mk_Load(EOS(STATIC_603), i80)
603_0_mk_Load(EOS(STATIC_603), i78) → 611_0_mk_Inc(EOS(STATIC_611), i78, i78)
R rules:

Combined rules. Obtained 1 conditional rules for P and 0 conditional rules for R.

P rules:
611_0_mk_Inc(EOS(STATIC_611), x0, x0) → 611_0_mk_Inc(EOS(STATIC_611), +(x0, -1), +(x0, -1)) | >(x0, 0)
R rules:

Filtered ground terms:

611_0_mk_Inc(x1, x2, x3) → 611_0_mk_Inc(x2, x3)
EOS(x1) → EOS
Cond_611_0_mk_Inc(x1, x2, x3, x4) → Cond_611_0_mk_Inc(x1, x3, x4)

Filtered duplicate args:

611_0_mk_Inc(x1, x2) → 611_0_mk_Inc(x2)
Cond_611_0_mk_Inc(x1, x2, x3) → Cond_611_0_mk_Inc(x1, x3)

Combined rules. Obtained 1 conditional rules for P and 0 conditional rules for R.

P rules:
611_0_mk_Inc(x0) → 611_0_mk_Inc(+(x0, -1)) | >(x0, 0)
R rules:

Finished conversion. Obtained 2 rules for P and 0 rules for R. System has predefined symbols.

P rules:
611_0_MK_INC(x0) → COND_611_0_MK_INC(>(x0, 0), x0)
COND_611_0_MK_INC(TRUE, x0) → 611_0_MK_INC(+(x0, -1))
R rules:

(21) 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): 611_0_MK_INC(x0[0]) → COND_611_0_MK_INC(x0[0] > 0, x0[0])
(1): COND_611_0_MK_INC(TRUE, x0[1]) → 611_0_MK_INC(x0[1] + -1)

(0) -> (1), if (x0[0] > 0 ∧x0[0] →^* x0[1])

(1) -> (0), if (x0[1] + -1 →^* x0[0])

The set Q is empty.

(22) IDPNonInfProof (SOUND transformation)

Used the following options for this NonInfProof:
IDPGPoloSolver: Range: [(-1,2)] IsNat: false Interpretation Shape Heuristic: aprove.DPFramework.IDPProblem.Processors.nonInf.poly.IdpCand1ShapeHeuristic@c5ac40c Constraint Generator: NonInfConstraintGenerator: PathGenerator: MetricPathGenerator: Max Left Steps: 0 Max Right Steps: 0

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 611_0_MK_INC(x0) → COND_611_0_MK_INC(>(x0, 0), x0) the following chains were created:

We consider the chain 611_0_MK_INC(x0[0]) → COND_611_0_MK_INC(>(x0[0], 0), x0[0]), COND_611_0_MK_INC(TRUE, x0[1]) → 611_0_MK_INC(+(x0[1], -1)) which results in the following constraint:
(1)    (>(x0[0], 0)=TRUE∧x0[0]=x0[1] ⇒ 611_0_MK_INC(x0[0])≥NonInfC∧611_0_MK_INC(x0[0])≥COND_611_0_MK_INC(>(x0[0], 0), x0[0])∧(U^Increasing(COND_611_0_MK_INC(>(x0[0], 0), x0[0])), ≥))

We simplified constraint (1) using rule (IV) which results in the following new constraint:
(2)    (>(x0[0], 0)=TRUE ⇒ 611_0_MK_INC(x0[0])≥NonInfC∧611_0_MK_INC(x0[0])≥COND_611_0_MK_INC(>(x0[0], 0), x0[0])∧(U^Increasing(COND_611_0_MK_INC(>(x0[0], 0), x0[0])), ≥))

We simplified constraint (2) using rule (POLY_CONSTRAINTS) which results in the following new constraint:
(3)    (x0[0] + [-1] ≥ 0 ⇒ (U^Increasing(COND_611_0_MK_INC(>(x0[0], 0), x0[0])), ≥)∧[(-1)Bound*bni_8] + [(2)bni_8]x0[0] ≥ 0∧[(-1)bso_9] ≥ 0)

We simplified constraint (3) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:
(4)    (x0[0] + [-1] ≥ 0 ⇒ (U^Increasing(COND_611_0_MK_INC(>(x0[0], 0), x0[0])), ≥)∧[(-1)Bound*bni_8] + [(2)bni_8]x0[0] ≥ 0∧[(-1)bso_9] ≥ 0)

We simplified constraint (4) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:
(5)    (x0[0] + [-1] ≥ 0 ⇒ (U^Increasing(COND_611_0_MK_INC(>(x0[0], 0), x0[0])), ≥)∧[(-1)Bound*bni_8] + [(2)bni_8]x0[0] ≥ 0∧[(-1)bso_9] ≥ 0)

We simplified constraint (5) using rule (IDP_SMT_SPLIT) which results in the following new constraint:
(6)    (x0[0] ≥ 0 ⇒ (U^Increasing(COND_611_0_MK_INC(>(x0[0], 0), x0[0])), ≥)∧[(-1)Bound*bni_8 + (2)bni_8] + [(2)bni_8]x0[0] ≥ 0∧[(-1)bso_9] ≥ 0)

For Pair COND_611_0_MK_INC(TRUE, x0) → 611_0_MK_INC(+(x0, -1)) the following chains were created:

We consider the chain COND_611_0_MK_INC(TRUE, x0[1]) → 611_0_MK_INC(+(x0[1], -1)) which results in the following constraint:
(7)    (COND_611_0_MK_INC(TRUE, x0[1])≥NonInfC∧COND_611_0_MK_INC(TRUE, x0[1])≥611_0_MK_INC(+(x0[1], -1))∧(U^Increasing(611_0_MK_INC(+(x0[1], -1))), ≥))

We simplified constraint (7) using rule (POLY_CONSTRAINTS) which results in the following new constraint:
(8)    ((U^Increasing(611_0_MK_INC(+(x0[1], -1))), ≥)∧[bni_10] = 0∧[2 + (-1)bso_11] ≥ 0)

We simplified constraint (8) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:
(9)    ((U^Increasing(611_0_MK_INC(+(x0[1], -1))), ≥)∧[bni_10] = 0∧[2 + (-1)bso_11] ≥ 0)

We simplified constraint (9) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:
(10)    ((U^Increasing(611_0_MK_INC(+(x0[1], -1))), ≥)∧[bni_10] = 0∧[2 + (-1)bso_11] ≥ 0)

We simplified constraint (10) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:
(11)    ((U^Increasing(611_0_MK_INC(+(x0[1], -1))), ≥)∧[bni_10] = 0∧0 = 0∧[2 + (-1)bso_11] ≥ 0)

To summarize, we get the following constraints P_≥ for the following pairs.

611_0_MK_INC(x0) → COND_611_0_MK_INC(>(x0, 0), x0)
- (x0[0] ≥ 0 ⇒ (U^Increasing(COND_611_0_MK_INC(>(x0[0], 0), x0[0])), ≥)∧[(-1)Bound*bni_8 + (2)bni_8] + [(2)bni_8]x0[0] ≥ 0∧[(-1)bso_9] ≥ 0)
COND_611_0_MK_INC(TRUE, x0) → 611_0_MK_INC(+(x0, -1))
- ((U^Increasing(611_0_MK_INC(+(x0[1], -1))), ≥)∧[bni_10] = 0∧0 = 0∧[2 + (-1)bso_11] ≥ 0)

The constraints for P_> respective P_bound 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 P_bound.
Using the following integer polynomial ordering the resulting constraints can be solved
Polynomial interpretation over integers[POLO]:

POL(TRUE) = 0
POL(FALSE) = 0
POL(611_0_MK_INC(x₁)) = [2]x₁
POL(COND_611_0_MK_INC(x₁, x₂)) = [2]x₂
POL(>(x₁, x₂)) = [-1]
POL(0) = 0
POL(+(x₁, x₂)) = x₁ + x₂
POL(-1) = [-1]

The following pairs are in P_>:

COND_611_0_MK_INC(TRUE, x0[1]) → 611_0_MK_INC(+(x0[1], -1))

The following pairs are in P_bound:

611_0_MK_INC(x0[0]) → COND_611_0_MK_INC(>(x0[0], 0), x0[0])

The following pairs are in P_≥:

611_0_MK_INC(x0[0]) → COND_611_0_MK_INC(>(x0[0], 0), x0[0])

There are no usable rules.

(23) Complex Obligation (AND)

(24) Obligation:

IDP problem:
The following function symbols are pre-defined:

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

The following domains are used:

Integer

R is empty.

The integer pair graph contains the following rules and edges:
(0): 611_0_MK_INC(x0[0]) → COND_611_0_MK_INC(x0[0] > 0, x0[0])

The set Q is empty.

(25) IDependencyGraphProof (EQUIVALENT transformation)

The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 0 SCCs with 1 less node.

(26) TRUE

(27) 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:
(1): COND_611_0_MK_INC(TRUE, x0[1]) → 611_0_MK_INC(x0[1] + -1)

The set Q is empty.

(28) IDependencyGraphProof (EQUIVALENT transformation)

The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 0 SCCs with 1 less node.

(29) TRUE

(30) Obligation:

SCC of termination graph based on JBC Program.
SCC contains nodes from the following methods: Test5.main([Ljava/lang/String;)V
SCC calls the following helper methods: Test5.length(LList;)I, Test5.test(LList;LList;LList;)V
Performed SCC analyses: UsedFieldsAnalysis

(31) SCCToIDPv1Proof (SOUND transformation)

Transformed FIGraph SCCs to IDPs. Log:

Generated 120 rules for P and 103 rules for R.

P rules:
342_0_main_InvokeMethod(EOS(STATIC_342), o27, o15, o34, o27) → 346_1_main_InvokeMethod(346_0_length_ConstantStackPush(EOS(STATIC_346), o27), o27, o15, o34, o27)
346_1_main_InvokeMethod(834_0_length_Return(EOS(STATIC_834), i111), o228, o15, o34, o228) → 850_0_length_Return(EOS(STATIC_850), o228, o15, o34, o228, i111)
850_0_length_Return(EOS(STATIC_850), o228, o15, o34, o228, i111) → 764_0_length_Return(EOS(STATIC_764), o228, o15, o34, o228, i111)
764_0_length_Return(EOS(STATIC_764), o195, o196, o197, o195, i104) → 769_0_main_LE(EOS(STATIC_769), o195, o196, o197, i104)
769_0_main_LE(EOS(STATIC_769), o195, o196, o197, i107) → 778_0_main_LE(EOS(STATIC_778), o195, o196, o197, i107)
778_0_main_LE(EOS(STATIC_778), o195, o196, o197, i107) → 787_0_main_Load(EOS(STATIC_787), o195, o196, o197) | >(i107, 0)
787_0_main_Load(EOS(STATIC_787), o195, o196, o197) → 795_0_main_Store(EOS(STATIC_795), o196, o197, o195)
795_0_main_Store(EOS(STATIC_795), o196, o197, o195) → 803_0_main_Load(EOS(STATIC_803), o196, o197, o195)
803_0_main_Load(EOS(STATIC_803), o196, o197, o195) → 808_0_main_Store(EOS(STATIC_808), o197, o195, o196)
808_0_main_Store(EOS(STATIC_808), o197, o195, o196) → 817_0_main_Load(EOS(STATIC_817), o196, o197, o195)
817_0_main_Load(EOS(STATIC_817), o196, o197, o195) → 821_0_main_Store(EOS(STATIC_821), o196, o195, o197)
821_0_main_Store(EOS(STATIC_821), o196, o195, o197) → 826_0_main_Load(EOS(STATIC_826), o196, o197, o195)
826_0_main_Load(EOS(STATIC_826), o196, o197, o195) → 831_0_main_Store(EOS(STATIC_831), o196, o197, o195, o195)
831_0_main_Store(EOS(STATIC_831), o196, o197, o195, o195) → 836_0_main_Load(EOS(STATIC_836), o196, o197, o195, o195)
836_0_main_Load(EOS(STATIC_836), o196, o197, o195, o195) → 841_0_main_InvokeMethod(EOS(STATIC_841), o196, o197, o195, o195, o197)
841_0_main_InvokeMethod(EOS(STATIC_841), o196, o197, o195, o195, o197) → 845_1_main_InvokeMethod(845_0_length_ConstantStackPush(EOS(STATIC_845), o197), o196, o197, o195, o195, o197)
845_1_main_InvokeMethod(834_0_length_Return(EOS(STATIC_834), i111), o196, o242, o195, o195, o242) → 865_0_length_Return(EOS(STATIC_865), o196, o242, o195, o195, o242, i111)
865_0_length_Return(EOS(STATIC_865), o196, o242, o195, o195, o242, i111) → 870_0_main_ConstantStackPush(EOS(STATIC_870), o196, o242, o195, o195, i111)
870_0_main_ConstantStackPush(EOS(STATIC_870), o196, o242, o195, o195, i111) → 874_0_main_IntArithmetic(EOS(STATIC_874), o196, o242, o195, o195, i111, 3)
874_0_main_IntArithmetic(EOS(STATIC_874), o196, o242, o195, o195, i111, matching1) → 880_0_main_NE(EOS(STATIC_880), o196, o242, o195, o195, %(i111, 3)) | =(matching1, 3)
880_0_main_NE(EOS(STATIC_880), o196, o242, o195, o195, i123) → 887_0_main_NE(EOS(STATIC_887), o196, o242, o195, o195, i123)
880_0_main_NE(EOS(STATIC_880), o196, o242, o195, o195, matching1) → 889_0_main_NE(EOS(STATIC_889), o196, o242, o195, o195, 0) | =(matching1, 0)
887_0_main_NE(EOS(STATIC_887), o196, o242, o195, o195, i123) → 890_0_main_Load(EOS(STATIC_890), o196, o242, o195) | >(i123, 0)
890_0_main_Load(EOS(STATIC_890), o196, o242, o195) → 892_0_main_InvokeMethod(EOS(STATIC_892), o196, o242, o195, o195)
892_0_main_InvokeMethod(EOS(STATIC_892), o196, o242, o195, o195) → 896_1_main_InvokeMethod(896_0_length_ConstantStackPush(EOS(STATIC_896), o195), o196, o242, o195, o195)
896_1_main_InvokeMethod(834_0_length_Return(EOS(STATIC_834), i111), o196, o242, o263, o263) → 910_0_length_Return(EOS(STATIC_910), o196, o242, o263, o263, i111)
910_0_length_Return(EOS(STATIC_910), o196, o242, o263, o263, i111) → 915_0_main_ConstantStackPush(EOS(STATIC_915), o196, o242, o263, i111)
915_0_main_ConstantStackPush(EOS(STATIC_915), o196, o242, o263, i111) → 920_0_main_IntArithmetic(EOS(STATIC_920), o196, o242, o263, i111, 5)
920_0_main_IntArithmetic(EOS(STATIC_920), o196, o242, o263, i111, matching1) → 923_0_main_NE(EOS(STATIC_923), o196, o242, o263, %(i111, 5)) | =(matching1, 5)
923_0_main_NE(EOS(STATIC_923), o196, o242, o263, i126) → 928_0_main_NE(EOS(STATIC_928), o196, o242, o263, i126)
923_0_main_NE(EOS(STATIC_923), o196, o242, o263, matching1) → 929_0_main_NE(EOS(STATIC_929), o196, o242, o263, 0) | =(matching1, 0)
928_0_main_NE(EOS(STATIC_928), o196, o242, o263, i126) → 934_0_main_Load(EOS(STATIC_934), o196, o242, o263) | >(i126, 0)
934_0_main_Load(EOS(STATIC_934), o196, o242, o263) → 1009_0_main_Load(EOS(STATIC_1009), o196, o242, o263)
1009_0_main_Load(EOS(STATIC_1009), o196, o242, o305) → 1015_0_main_InvokeMethod(EOS(STATIC_1015), o196, o242, o305, o196)
1015_0_main_InvokeMethod(EOS(STATIC_1015), o196, o242, o305, o196) → 1020_1_main_InvokeMethod(1020_0_length_ConstantStackPush(EOS(STATIC_1020), o196), o196, o242, o305, o196)
1020_1_main_InvokeMethod(834_0_length_Return(EOS(STATIC_834), i111), o330, o242, o305, o330) → 1038_0_length_Return(EOS(STATIC_1038), o330, o242, o305, o330, i111)
1038_0_length_Return(EOS(STATIC_1038), o330, o242, o305, o330, i111) → 1042_0_main_Load(EOS(STATIC_1042), o330, o242, o305, i111)
1042_0_main_Load(EOS(STATIC_1042), o330, o242, o305, i111) → 1046_0_main_InvokeMethod(EOS(STATIC_1046), o330, o242, o305, i111, o242)
1046_0_main_InvokeMethod(EOS(STATIC_1046), o330, o242, o305, i111, o242) → 1050_1_main_InvokeMethod(1050_0_length_ConstantStackPush(EOS(STATIC_1050), o242), o330, o242, o305, i111, o242)
1050_1_main_InvokeMethod(834_0_length_Return(EOS(STATIC_834), i137), o330, o352, o305, i111, o352) → 1067_0_length_Return(EOS(STATIC_1067), o330, o352, o305, i111, o352, i137)
1067_0_length_Return(EOS(STATIC_1067), o330, o352, o305, i111, o352, i137) → 1072_0_main_LE(EOS(STATIC_1072), o330, o352, o305, i111, i137)
1072_0_main_LE(EOS(STATIC_1072), o330, o352, o305, i111, i137) → 1076_0_main_LE(EOS(STATIC_1076), o330, o352, o305, i111, i137)
1072_0_main_LE(EOS(STATIC_1072), o330, o352, o305, i111, i137) → 1077_0_main_LE(EOS(STATIC_1077), o330, o352, o305, i111, i137)
1076_0_main_LE(EOS(STATIC_1076), o330, o352, o305, i111, i137) → 1080_0_main_Load(EOS(STATIC_1080), o330, o352, o305) | <=(i111, i137)
1080_0_main_Load(EOS(STATIC_1080), o330, o352, o305) → 1085_0_main_InvokeMethod(EOS(STATIC_1085), o330, o352, o305, o330)
1085_0_main_InvokeMethod(EOS(STATIC_1085), o330, o352, o305, o330) → 1090_1_main_InvokeMethod(1090_0_length_ConstantStackPush(EOS(STATIC_1090), o330), o330, o352, o305, o330)
1090_1_main_InvokeMethod(834_0_length_Return(EOS(STATIC_834), i111), o373, o352, o305, o373) → 1100_0_length_Return(EOS(STATIC_1100), o373, o352, o305, o373, i111)
1100_0_length_Return(EOS(STATIC_1100), o373, o352, o305, o373, i111) → 1106_0_main_Load(EOS(STATIC_1106), o373, o352, o305, i111)
1106_0_main_Load(EOS(STATIC_1106), o373, o352, o305, i111) → 1110_0_main_InvokeMethod(EOS(STATIC_1110), o373, o352, o305, i111, o352)
1110_0_main_InvokeMethod(EOS(STATIC_1110), o373, o352, o305, i111, o352) → 1113_1_main_InvokeMethod(1113_0_length_ConstantStackPush(EOS(STATIC_1113), o352), o373, o352, o305, i111, o352)
1113_1_main_InvokeMethod(834_0_length_Return(EOS(STATIC_834), i139), o373, o404, o305, i111, o404) → 1131_0_length_Return(EOS(STATIC_1131), o373, o404, o305, i111, o404, i139)
1131_0_length_Return(EOS(STATIC_1131), o373, o404, o305, i111, o404, i139) → 1135_0_main_NE(EOS(STATIC_1135), o373, o404, o305, i111, i139)
1135_0_main_NE(EOS(STATIC_1135), o373, o404, o305, i111, i139) → 1139_0_main_NE(EOS(STATIC_1139), o373, o404, o305, i111, i139)
1135_0_main_NE(EOS(STATIC_1135), o373, o404, o305, i139, i139) → 1140_0_main_NE(EOS(STATIC_1140), o373, o404, o305, i139, i139)
1139_0_main_NE(EOS(STATIC_1139), o373, o404, o305, i111, i139) → 1146_0_main_Load(EOS(STATIC_1146), o373, o404, o305) | !(=(i111, i139))
1146_0_main_Load(EOS(STATIC_1146), o373, o404, o305) → 1151_0_main_InvokeMethod(EOS(STATIC_1151), o373, o404, o305)
1151_0_main_InvokeMethod(EOS(STATIC_1151), o373, o404, java.lang.Object(o424sub)) → 1158_0_main_InvokeMethod(EOS(STATIC_1158), o373, o404, java.lang.Object(o424sub))
1158_0_main_InvokeMethod(EOS(STATIC_1158), o373, o404, java.lang.Object(o424sub)) → 1167_0_getTail_Load(EOS(STATIC_1167), o373, o404, java.lang.Object(o424sub), java.lang.Object(o424sub))
1167_0_getTail_Load(EOS(STATIC_1167), o373, o404, java.lang.Object(o424sub), java.lang.Object(o424sub)) → 1191_0_getTail_FieldAccess(EOS(STATIC_1191), o373, o404, java.lang.Object(o424sub), java.lang.Object(o424sub))
1191_0_getTail_FieldAccess(EOS(STATIC_1191), o373, o404, java.lang.Object(List(EOC, o483)), java.lang.Object(List(EOC, o483))) → 1203_0_getTail_FieldAccess(EOS(STATIC_1203), o373, o404, java.lang.Object(List(EOC, o483)), java.lang.Object(List(EOC, o483)))
1203_0_getTail_FieldAccess(EOS(STATIC_1203), o373, o404, java.lang.Object(List(EOC, o483)), java.lang.Object(List(EOC, o483))) → 1217_0_getTail_Return(EOS(STATIC_1217), o373, o404, java.lang.Object(List(EOC, o483)), o483)
1217_0_getTail_Return(EOS(STATIC_1217), o373, o404, java.lang.Object(List(EOC, o483)), o483) → 1227_0_main_Store(EOS(STATIC_1227), o373, o404, o483)
1227_0_main_Store(EOS(STATIC_1227), o373, o404, o483) → 1236_0_main_Load(EOS(STATIC_1236), o373, o404, o483)
1236_0_main_Load(EOS(STATIC_1236), o373, o404, o483) → 1251_0_main_Load(EOS(STATIC_1251), o373, o404, o483)
1251_0_main_Load(EOS(STATIC_1251), o373, o492, o305) → 1257_0_main_Load(EOS(STATIC_1257), o373, o492, o305, o373)
1257_0_main_Load(EOS(STATIC_1257), o373, o492, o305, o373) → 1264_0_main_Load(EOS(STATIC_1264), o373, o492, o305, o373, o492)
1264_0_main_Load(EOS(STATIC_1264), o373, o492, o305, o373, o492) → 1271_0_main_InvokeMethod(EOS(STATIC_1271), o373, o492, o305, o373, o492, o305)
1271_0_main_InvokeMethod(EOS(STATIC_1271), o373, o492, o305, o373, o492, o305) → 1275_1_main_InvokeMethod(1275_0_test_Load(EOS(STATIC_1275), o373, o492, o305), o373, o492, o305, o373, o492, o305)
1275_1_main_InvokeMethod(1522_0_test_Return(EOS(STATIC_1522)), o923, o924, o925, o923, o924, o925) → 1527_0_test_Return(EOS(STATIC_1527), o923, o924, o925, o923, o924, o925)
1527_0_test_Return(EOS(STATIC_1527), o923, o924, o925, o923, o924, o925) → 1436_0_test_Return(EOS(STATIC_1436), o923, o924, o925, o923, o924, o925)
1436_0_test_Return(EOS(STATIC_1436), o830, o831, o832, o830, o831, o832) → 1440_0_main_JMP(EOS(STATIC_1440), o830, o831, o832)
1440_0_main_JMP(EOS(STATIC_1440), o830, o831, o832) → 1443_0_main_Load(EOS(STATIC_1443), o830, o831, o832)
1443_0_main_Load(EOS(STATIC_1443), o830, o831, o832) → 338_0_main_Load(EOS(STATIC_338), o830, o831, o832)
338_0_main_Load(EOS(STATIC_338), o27, o15, o34) → 342_0_main_InvokeMethod(EOS(STATIC_342), o27, o15, o34, o27)
1140_0_main_NE(EOS(STATIC_1140), o373, o404, o305, i139, i139) → 1147_0_main_Load(EOS(STATIC_1147), o373, o404, o305)
1147_0_main_Load(EOS(STATIC_1147), o373, o404, o305) → 1153_0_main_InvokeMethod(EOS(STATIC_1153), o373, o305, o404)
1153_0_main_InvokeMethod(EOS(STATIC_1153), o373, o305, java.lang.Object(o425sub)) → 1161_0_main_InvokeMethod(EOS(STATIC_1161), o373, o305, java.lang.Object(o425sub))
1161_0_main_InvokeMethod(EOS(STATIC_1161), o373, o305, java.lang.Object(o425sub)) → 1170_0_getTail_Load(EOS(STATIC_1170), o373, o305, java.lang.Object(o425sub), java.lang.Object(o425sub))
1170_0_getTail_Load(EOS(STATIC_1170), o373, o305, java.lang.Object(o425sub), java.lang.Object(o425sub)) → 1196_0_getTail_FieldAccess(EOS(STATIC_1196), o373, o305, java.lang.Object(o425sub), java.lang.Object(o425sub))
1196_0_getTail_FieldAccess(EOS(STATIC_1196), o373, o305, java.lang.Object(List(EOC, o492)), java.lang.Object(List(EOC, o492))) → 1207_0_getTail_FieldAccess(EOS(STATIC_1207), o373, o305, java.lang.Object(List(EOC, o492)), java.lang.Object(List(EOC, o492)))
1207_0_getTail_FieldAccess(EOS(STATIC_1207), o373, o305, java.lang.Object(List(EOC, o492)), java.lang.Object(List(EOC, o492))) → 1219_0_getTail_Return(EOS(STATIC_1219), o373, o305, java.lang.Object(List(EOC, o492)), o492)
1219_0_getTail_Return(EOS(STATIC_1219), o373, o305, java.lang.Object(List(EOC, o492)), o492) → 1228_0_main_Store(EOS(STATIC_1228), o373, o305, o492)
1228_0_main_Store(EOS(STATIC_1228), o373, o305, o492) → 1241_0_main_JMP(EOS(STATIC_1241), o373, o492, o305)
1241_0_main_JMP(EOS(STATIC_1241), o373, o492, o305) → 1251_0_main_Load(EOS(STATIC_1251), o373, o492, o305)
1077_0_main_LE(EOS(STATIC_1077), o330, o352, o305, i111, i137) → 1081_0_main_Load(EOS(STATIC_1081), o330, o352, o305) | >(i111, i137)
1081_0_main_Load(EOS(STATIC_1081), o330, o352, o305) → 1086_0_main_InvokeMethod(EOS(STATIC_1086), o352, o305, o330)
1086_0_main_InvokeMethod(EOS(STATIC_1086), o352, o305, java.lang.Object(o369sub)) → 1091_0_main_InvokeMethod(EOS(STATIC_1091), o352, o305, java.lang.Object(o369sub))
1091_0_main_InvokeMethod(EOS(STATIC_1091), o352, o305, java.lang.Object(o369sub)) → 1095_0_getTail_Load(EOS(STATIC_1095), o352, o305, java.lang.Object(o369sub), java.lang.Object(o369sub))
1095_0_getTail_Load(EOS(STATIC_1095), o352, o305, java.lang.Object(o369sub), java.lang.Object(o369sub)) → 1099_0_getTail_FieldAccess(EOS(STATIC_1099), o352, o305, java.lang.Object(o369sub), java.lang.Object(o369sub))
1099_0_getTail_FieldAccess(EOS(STATIC_1099), o352, o305, java.lang.Object(List(EOC, o388)), java.lang.Object(List(EOC, o388))) → 1101_0_getTail_FieldAccess(EOS(STATIC_1101), o352, o305, java.lang.Object(List(EOC, o388)), java.lang.Object(List(EOC, o388)))
1101_0_getTail_FieldAccess(EOS(STATIC_1101), o352, o305, java.lang.Object(List(EOC, o388)), java.lang.Object(List(EOC, o388))) → 1108_0_getTail_Return(EOS(STATIC_1108), o352, o305, java.lang.Object(List(EOC, o388)), o388)
1108_0_getTail_Return(EOS(STATIC_1108), o352, o305, java.lang.Object(List(EOC, o388)), o388) → 1112_0_main_Store(EOS(STATIC_1112), o352, o305, o388)
1112_0_main_Store(EOS(STATIC_1112), o352, o305, o388) → 1115_0_main_JMP(EOS(STATIC_1115), o388, o352, o305)
1115_0_main_JMP(EOS(STATIC_1115), o388, o352, o305) → 1120_0_main_Load(EOS(STATIC_1120), o388, o352, o305)
1120_0_main_Load(EOS(STATIC_1120), o388, o352, o305) → 1236_0_main_Load(EOS(STATIC_1236), o388, o352, o305)
929_0_main_NE(EOS(STATIC_929), o196, o242, o263, matching1) → 936_0_main_Load(EOS(STATIC_936), o196, o242, o263) | =(matching1, 0)
936_0_main_Load(EOS(STATIC_936), o196, o242, o263) → 941_0_main_InvokeMethod(EOS(STATIC_941), o196, o242, o263)
941_0_main_InvokeMethod(EOS(STATIC_941), o196, o242, java.lang.Object(o280sub)) → 946_0_main_InvokeMethod(EOS(STATIC_946), o196, o242, java.lang.Object(o280sub))
946_0_main_InvokeMethod(EOS(STATIC_946), o196, o242, java.lang.Object(o280sub)) → 953_0_getTail_Load(EOS(STATIC_953), o196, o242, java.lang.Object(o280sub), java.lang.Object(o280sub))
953_0_getTail_Load(EOS(STATIC_953), o196, o242, java.lang.Object(o280sub), java.lang.Object(o280sub)) → 971_0_getTail_FieldAccess(EOS(STATIC_971), o196, o242, java.lang.Object(o280sub), java.lang.Object(o280sub))
971_0_getTail_FieldAccess(EOS(STATIC_971), o196, o242, java.lang.Object(List(EOC, o305)), java.lang.Object(List(EOC, o305))) → 978_0_getTail_FieldAccess(EOS(STATIC_978), o196, o242, java.lang.Object(List(EOC, o305)), java.lang.Object(List(EOC, o305)))
978_0_getTail_FieldAccess(EOS(STATIC_978), o196, o242, java.lang.Object(List(EOC, o305)), java.lang.Object(List(EOC, o305))) → 989_0_getTail_Return(EOS(STATIC_989), o196, o242, java.lang.Object(List(EOC, o305)), o305)
989_0_getTail_Return(EOS(STATIC_989), o196, o242, java.lang.Object(List(EOC, o305)), o305) → 999_0_main_Store(EOS(STATIC_999), o196, o242, o305)
999_0_main_Store(EOS(STATIC_999), o196, o242, o305) → 1009_0_main_Load(EOS(STATIC_1009), o196, o242, o305)
889_0_main_NE(EOS(STATIC_889), o196, o242, o195, o195, matching1) → 891_0_main_Load(EOS(STATIC_891), o196, o242, o195, o195) | =(matching1, 0)
891_0_main_Load(EOS(STATIC_891), o196, o242, o195, o195) → 894_0_main_InvokeMethod(EOS(STATIC_894), o196, o242, o195, o195)
894_0_main_InvokeMethod(EOS(STATIC_894), o196, o242, java.lang.Object(o257sub), java.lang.Object(o257sub)) → 898_0_main_InvokeMethod(EOS(STATIC_898), o196, o242, java.lang.Object(o257sub), java.lang.Object(o257sub))
898_0_main_InvokeMethod(EOS(STATIC_898), o196, o242, java.lang.Object(o257sub), java.lang.Object(o257sub)) → 903_0_getTail_Load(EOS(STATIC_903), o196, o242, java.lang.Object(o257sub), java.lang.Object(o257sub), java.lang.Object(o257sub))
903_0_getTail_Load(EOS(STATIC_903), o196, o242, java.lang.Object(o257sub), java.lang.Object(o257sub), java.lang.Object(o257sub)) → 909_0_getTail_FieldAccess(EOS(STATIC_909), o196, o242, java.lang.Object(o257sub), java.lang.Object(o257sub), java.lang.Object(o257sub))
909_0_getTail_FieldAccess(EOS(STATIC_909), o196, o242, java.lang.Object(List(EOC, o270)), java.lang.Object(List(EOC, o270)), java.lang.Object(List(EOC, o270))) → 912_0_getTail_FieldAccess(EOS(STATIC_912), o196, o242, java.lang.Object(List(EOC, o270)), java.lang.Object(List(EOC, o270)), java.lang.Object(List(EOC, o270)))
912_0_getTail_FieldAccess(EOS(STATIC_912), o196, o242, java.lang.Object(List(EOC, o270)), java.lang.Object(List(EOC, o270)), java.lang.Object(List(EOC, o270))) → 917_0_getTail_Return(EOS(STATIC_917), o196, o242, java.lang.Object(List(EOC, o270)), java.lang.Object(List(EOC, o270)))
917_0_getTail_Return(EOS(STATIC_917), o196, o242, java.lang.Object(List(EOC, o270)), java.lang.Object(List(EOC, o270))) → 922_0_main_Store(EOS(STATIC_922), o196, o242, java.lang.Object(List(EOC, o270)))
922_0_main_Store(EOS(STATIC_922), o196, o242, java.lang.Object(List(EOC, o270))) → 924_0_main_Load(EOS(STATIC_924), o196, o242, java.lang.Object(List(EOC, o270)))
924_0_main_Load(EOS(STATIC_924), o196, o242, java.lang.Object(List(EOC, o270))) → 931_0_main_InvokeMethod(EOS(STATIC_931), o196, o242, java.lang.Object(List(EOC, o270)), java.lang.Object(List(EOC, o270)))
931_0_main_InvokeMethod(EOS(STATIC_931), o196, o242, java.lang.Object(List(EOC, o270)), java.lang.Object(List(EOC, o270))) → 937_1_main_InvokeMethod(937_0_length_ConstantStackPush(EOS(STATIC_937), java.lang.Object(List(EOC, o270))), o196, o242, java.lang.Object(List(EOC, o270)), java.lang.Object(List(EOC, o270)))
937_1_main_InvokeMethod(834_0_length_Return(EOS(STATIC_834), i111), o196, o242, java.lang.Object(List(EOC, o285)), java.lang.Object(List(EOC, o285))) → 963_0_length_Return(EOS(STATIC_963), o196, o242, java.lang.Object(List(EOC, o285)), java.lang.Object(List(EOC, o285)), i111)
963_0_length_Return(EOS(STATIC_963), o196, o242, java.lang.Object(List(EOC, o285)), java.lang.Object(List(EOC, o285)), i111) → 973_0_main_ConstantStackPush(EOS(STATIC_973), o196, o242, java.lang.Object(List(EOC, o285)), i111)
973_0_main_ConstantStackPush(EOS(STATIC_973), o196, o242, java.lang.Object(List(EOC, o285)), i111) → 983_0_main_IntArithmetic(EOS(STATIC_983), o196, o242, java.lang.Object(List(EOC, o285)), i111, 5)
983_0_main_IntArithmetic(EOS(STATIC_983), o196, o242, java.lang.Object(List(EOC, o285)), i111, matching1) → 994_0_main_NE(EOS(STATIC_994), o196, o242, java.lang.Object(List(EOC, o285)), %(i111, 5)) | =(matching1, 5)
994_0_main_NE(EOS(STATIC_994), o196, o242, java.lang.Object(List(EOC, o285)), i131) → 923_0_main_NE(EOS(STATIC_923), o196, o242, java.lang.Object(List(EOC, o285)), i131)
R rules:
346_0_length_ConstantStackPush(EOS(STATIC_346), o27) → 347_0_length_ConstantStackPush(EOS(STATIC_347), o27)
347_0_length_ConstantStackPush(EOS(STATIC_347), o27) → 350_0_length_ConstantStackPush(EOS(STATIC_350), o27)
845_0_length_ConstantStackPush(EOS(STATIC_845), o197) → 851_0_length_ConstantStackPush(EOS(STATIC_851), o197)
851_0_length_ConstantStackPush(EOS(STATIC_851), o197) → 350_0_length_ConstantStackPush(EOS(STATIC_350), o197)
896_0_length_ConstantStackPush(EOS(STATIC_896), o195) → 901_0_length_ConstantStackPush(EOS(STATIC_901), o195)
901_0_length_ConstantStackPush(EOS(STATIC_901), o195) → 350_0_length_ConstantStackPush(EOS(STATIC_350), o195)
1020_0_length_ConstantStackPush(EOS(STATIC_1020), o196) → 1024_0_length_ConstantStackPush(EOS(STATIC_1024), o196)
1024_0_length_ConstantStackPush(EOS(STATIC_1024), o196) → 350_0_length_ConstantStackPush(EOS(STATIC_350), o196)
1050_0_length_ConstantStackPush(EOS(STATIC_1050), o242) → 1054_0_length_ConstantStackPush(EOS(STATIC_1054), o242)
1054_0_length_ConstantStackPush(EOS(STATIC_1054), o242) → 350_0_length_ConstantStackPush(EOS(STATIC_350), o242)
1090_0_length_ConstantStackPush(EOS(STATIC_1090), o330) → 1094_0_length_ConstantStackPush(EOS(STATIC_1094), o330)
1094_0_length_ConstantStackPush(EOS(STATIC_1094), o330) → 350_0_length_ConstantStackPush(EOS(STATIC_350), o330)
1113_0_length_ConstantStackPush(EOS(STATIC_1113), o352) → 1118_0_length_ConstantStackPush(EOS(STATIC_1118), o352)
1118_0_length_ConstantStackPush(EOS(STATIC_1118), o352) → 350_0_length_ConstantStackPush(EOS(STATIC_350), o352)
1275_0_test_Load(EOS(STATIC_1275), o373, o492, o305) → 1280_0_test_Load(EOS(STATIC_1280), o373, o492, o305)
1280_0_test_Load(EOS(STATIC_1280), o373, o492, o305) → 1154_0_test_Load(EOS(STATIC_1154), o373, o492, o305)
937_0_length_ConstantStackPush(EOS(STATIC_937), java.lang.Object(List(EOC, o270))) → 943_0_length_ConstantStackPush(EOS(STATIC_943), java.lang.Object(List(EOC, o270)))
943_0_length_ConstantStackPush(EOS(STATIC_943), java.lang.Object(List(EOC, o270))) → 350_0_length_ConstantStackPush(EOS(STATIC_350), java.lang.Object(List(EOC, o270)))
350_0_length_ConstantStackPush(EOS(STATIC_350), o27) → 353_0_length_Store(EOS(STATIC_353), o27, 0)
353_0_length_Store(EOS(STATIC_353), o27, matching1) → 357_0_length_Load(EOS(STATIC_357), o27, 0) | =(matching1, 0)
357_0_length_Load(EOS(STATIC_357), o27, matching1) → 447_0_length_Load(EOS(STATIC_447), o27, 0) | =(matching1, 0)
447_0_length_Load(EOS(STATIC_447), o75, i58) → 584_0_length_Load(EOS(STATIC_584), o75, i58)
584_0_length_Load(EOS(STATIC_584), o122, i76) → 715_0_length_Load(EOS(STATIC_715), o122, i76)
715_0_length_Load(EOS(STATIC_715), o177, i100) → 815_0_length_Load(EOS(STATIC_815), o177, i100)
815_0_length_Load(EOS(STATIC_815), o219, i111) → 820_0_length_NULL(EOS(STATIC_820), o219, i111, o219)
820_0_length_NULL(EOS(STATIC_820), java.lang.Object(o227sub), i111, java.lang.Object(o227sub)) → 823_0_length_NULL(EOS(STATIC_823), java.lang.Object(o227sub), i111, java.lang.Object(o227sub))
820_0_length_NULL(EOS(STATIC_820), NULL, i111, NULL) → 824_0_length_NULL(EOS(STATIC_824), NULL, i111, NULL)
823_0_length_NULL(EOS(STATIC_823), java.lang.Object(o227sub), i111, java.lang.Object(o227sub)) → 828_0_length_Load(EOS(STATIC_828), java.lang.Object(o227sub), i111)
824_0_length_NULL(EOS(STATIC_824), NULL, i111, NULL) → 829_0_length_Load(EOS(STATIC_829), i111)
828_0_length_Load(EOS(STATIC_828), java.lang.Object(o227sub), i111) → 833_0_length_InvokeMethod(EOS(STATIC_833), i111, java.lang.Object(o227sub))
829_0_length_Load(EOS(STATIC_829), i111) → 834_0_length_Return(EOS(STATIC_834), i111)
833_0_length_InvokeMethod(EOS(STATIC_833), i111, java.lang.Object(o227sub)) → 837_0_getTail_Load(EOS(STATIC_837), i111, java.lang.Object(o227sub), java.lang.Object(o227sub))
837_0_getTail_Load(EOS(STATIC_837), i111, java.lang.Object(o227sub), java.lang.Object(o227sub)) → 847_0_getTail_FieldAccess(EOS(STATIC_847), i111, java.lang.Object(o227sub), java.lang.Object(o227sub))
847_0_getTail_FieldAccess(EOS(STATIC_847), i111, java.lang.Object(o227sub), java.lang.Object(o227sub)) → 854_0_getTail_FieldAccess(EOS(STATIC_854), i111, java.lang.Object(o227sub), java.lang.Object(o227sub))
847_0_getTail_FieldAccess(EOS(STATIC_847), i111, java.lang.Object(o227sub), java.lang.Object(o227sub)) → 855_0_getTail_FieldAccess(EOS(STATIC_855), i111, java.lang.Object(o227sub), java.lang.Object(o227sub))
854_0_getTail_FieldAccess(EOS(STATIC_854), i111, java.lang.Object(List(EOC, o236)), java.lang.Object(List(EOC, o236))) → 856_0_getTail_FieldAccess(EOS(STATIC_856), i111, java.lang.Object(List(EOC, o236)), java.lang.Object(List(EOC, o236)))
855_0_getTail_FieldAccess(EOS(STATIC_855), i111, java.lang.Object(List(EOC, o239)), java.lang.Object(List(EOC, o239))) → 857_0_getTail_FieldAccess(EOS(STATIC_857), i111, java.lang.Object(List(EOC, o239)), java.lang.Object(List(EOC, o239)))
856_0_getTail_FieldAccess(EOS(STATIC_856), i111, java.lang.Object(List(EOC, o236)), java.lang.Object(List(EOC, o236))) → 862_0_getTail_Return(EOS(STATIC_862), i111, java.lang.Object(List(EOC, o236)), o236)
857_0_getTail_FieldAccess(EOS(STATIC_857), i111, java.lang.Object(List(EOC, o239)), java.lang.Object(List(EOC, o239))) → 864_0_getTail_Return(EOS(STATIC_864), i111, java.lang.Object(List(EOC, o239)), o239)
862_0_getTail_Return(EOS(STATIC_862), i111, java.lang.Object(List(EOC, o236)), o236) → 867_0_length_Store(EOS(STATIC_867), i111, o236)
864_0_getTail_Return(EOS(STATIC_864), i111, java.lang.Object(List(EOC, o239)), o239) → 868_0_length_Store(EOS(STATIC_868), i111, o239)
867_0_length_Store(EOS(STATIC_867), i111, o236) → 872_0_length_Inc(EOS(STATIC_872), o236, i111)
868_0_length_Store(EOS(STATIC_868), i111, o239) → 873_0_length_Inc(EOS(STATIC_873), o239, i111)
872_0_length_Inc(EOS(STATIC_872), o236, i111) → 875_0_length_JMP(EOS(STATIC_875), o236, +(i111, 1)) | >=(i111, 0)
873_0_length_Inc(EOS(STATIC_873), o239, i111) → 877_0_length_JMP(EOS(STATIC_877), o239, +(i111, 1)) | >=(i111, 0)
875_0_length_JMP(EOS(STATIC_875), o236, i117) → 883_0_length_Load(EOS(STATIC_883), o236, i117)
877_0_length_JMP(EOS(STATIC_877), o239, i118) → 886_0_length_Load(EOS(STATIC_886), o239, i118)
883_0_length_Load(EOS(STATIC_883), o236, i117) → 815_0_length_Load(EOS(STATIC_815), o236, i117)
886_0_length_Load(EOS(STATIC_886), o239, i118) → 815_0_length_Load(EOS(STATIC_815), o239, i118)
1154_0_test_Load(EOS(STATIC_1154), o388, o352, o305) → 1418_0_test_Load(EOS(STATIC_1418), o388, o352, o305)
1418_0_test_Load(EOS(STATIC_1418), o804, o805, o806) → 1516_0_test_Load(EOS(STATIC_1516), o804, o805, o806)
1516_0_test_Load(EOS(STATIC_1516), o902, o903, o904) → 1518_0_test_NULL(EOS(STATIC_1518), o902, o903, o904, o902)
1518_0_test_NULL(EOS(STATIC_1518), java.lang.Object(o921sub), o903, o904, java.lang.Object(o921sub)) → 1519_0_test_NULL(EOS(STATIC_1519), java.lang.Object(o921sub), o903, o904, java.lang.Object(o921sub))
1518_0_test_NULL(EOS(STATIC_1518), NULL, o903, o904, NULL) → 1520_0_test_NULL(EOS(STATIC_1520), NULL, o903, o904, NULL)
1519_0_test_NULL(EOS(STATIC_1519), java.lang.Object(o921sub), o903, o904, java.lang.Object(o921sub)) → 1521_0_test_New(EOS(STATIC_1521), java.lang.Object(o921sub), o903, o904)
1520_0_test_NULL(EOS(STATIC_1520), NULL, o903, o904, NULL) → 1522_0_test_Return(EOS(STATIC_1522))
1521_0_test_New(EOS(STATIC_1521), java.lang.Object(o921sub), o903, o904) → 1523_0_test_Duplicate(EOS(STATIC_1523), java.lang.Object(o921sub), o903, o904, java.lang.Object(List(EOC, NULL)))
1523_0_test_Duplicate(EOS(STATIC_1523), java.lang.Object(o921sub), o903, o904, java.lang.Object(List(EOC, NULL))) → 1525_0_test_Load(EOS(STATIC_1525), java.lang.Object(o921sub), o903, o904, java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, NULL)))
1525_0_test_Load(EOS(STATIC_1525), java.lang.Object(o921sub), o903, o904, java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, NULL))) → 1526_0_test_Load(EOS(STATIC_1526), java.lang.Object(o921sub), o903, o904, java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, NULL)), java.lang.Object(o921sub))
1526_0_test_Load(EOS(STATIC_1526), java.lang.Object(o921sub), o903, o904, java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, NULL)), java.lang.Object(o921sub)) → 1528_0_test_InvokeMethod(EOS(STATIC_1528), java.lang.Object(o921sub), o904, java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, NULL)), java.lang.Object(o921sub), o903)
1528_0_test_InvokeMethod(EOS(STATIC_1528), java.lang.Object(o921sub), o904, java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, NULL)), java.lang.Object(o921sub), o903) → 1529_0_<init>_Load(EOS(STATIC_1529), java.lang.Object(o921sub), o904, java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, NULL)), java.lang.Object(o921sub), o903, java.lang.Object(List(EOC, NULL)), java.lang.Object(o921sub), o903)
1529_0_<init>_Load(EOS(STATIC_1529), java.lang.Object(o921sub), o904, java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, NULL)), java.lang.Object(o921sub), o903, java.lang.Object(List(EOC, NULL)), java.lang.Object(o921sub), o903) → 1530_0_<init>_InvokeMethod(EOS(STATIC_1530), java.lang.Object(o921sub), o904, java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, NULL)), java.lang.Object(o921sub), o903, java.lang.Object(List(EOC, NULL)), java.lang.Object(o921sub), o903, java.lang.Object(List(EOC, NULL)))
1530_0_<init>_InvokeMethod(EOS(STATIC_1530), java.lang.Object(o921sub), o904, java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, NULL)), java.lang.Object(o921sub), o903, java.lang.Object(List(EOC, NULL)), java.lang.Object(o921sub), o903, java.lang.Object(List(EOC, NULL))) → 1531_0_<init>_Load(EOS(STATIC_1531), java.lang.Object(o921sub), o904, java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, NULL)), java.lang.Object(o921sub), o903, java.lang.Object(List(EOC, NULL)), java.lang.Object(o921sub), o903)
1531_0_<init>_Load(EOS(STATIC_1531), java.lang.Object(o921sub), o904, java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, NULL)), java.lang.Object(o921sub), o903, java.lang.Object(List(EOC, NULL)), java.lang.Object(o921sub), o903) → 1533_0_<init>_Load(EOS(STATIC_1533), java.lang.Object(o921sub), o904, java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, NULL)), java.lang.Object(o921sub), o903, java.lang.Object(List(EOC, NULL)), java.lang.Object(o921sub), o903, java.lang.Object(List(EOC, NULL)))
1533_0_<init>_Load(EOS(STATIC_1533), java.lang.Object(o921sub), o904, java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, NULL)), java.lang.Object(o921sub), o903, java.lang.Object(List(EOC, NULL)), java.lang.Object(o921sub), o903, java.lang.Object(List(EOC, NULL))) → 1534_0_<init>_FieldAccess(EOS(STATIC_1534), java.lang.Object(o921sub), o904, java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, NULL)), java.lang.Object(o921sub), o903, java.lang.Object(List(EOC, NULL)), o903, java.lang.Object(List(EOC, NULL)), java.lang.Object(o921sub))
1534_0_<init>_FieldAccess(EOS(STATIC_1534), java.lang.Object(o921sub), o904, java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, NULL)), java.lang.Object(o921sub), o903, java.lang.Object(List(EOC, NULL)), o903, java.lang.Object(List(EOC, NULL)), java.lang.Object(o921sub)) → 1537_0_<init>_Load(EOS(STATIC_1537), java.lang.Object(o921sub), o904, java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, NULL)), java.lang.Object(o921sub), o903, java.lang.Object(List(EOC, NULL)), o903)
1537_0_<init>_Load(EOS(STATIC_1537), java.lang.Object(o921sub), o904, java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, NULL)), java.lang.Object(o921sub), o903, java.lang.Object(List(EOC, NULL)), o903) → 1539_0_<init>_Load(EOS(STATIC_1539), java.lang.Object(o921sub), o904, java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, NULL)), java.lang.Object(o921sub), o903, o903, java.lang.Object(List(EOC, NULL)))
1539_0_<init>_Load(EOS(STATIC_1539), java.lang.Object(o921sub), o904, java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, NULL)), java.lang.Object(o921sub), o903, o903, java.lang.Object(List(EOC, NULL))) → 1540_0_<init>_FieldAccess(EOS(STATIC_1540), java.lang.Object(o921sub), o904, java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, NULL)), java.lang.Object(o921sub), o903, java.lang.Object(List(EOC, NULL)), o903)
1540_0_<init>_FieldAccess(EOS(STATIC_1540), java.lang.Object(o921sub), o904, java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, NULL)), java.lang.Object(o921sub), o903, java.lang.Object(List(EOC, NULL)), o903) → 1544_0_<init>_Return(EOS(STATIC_1544), java.lang.Object(o921sub), o904, java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, o903)), java.lang.Object(o921sub), o903)
1544_0_<init>_Return(EOS(STATIC_1544), java.lang.Object(o921sub), o904, java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, o903)), java.lang.Object(o921sub), o903) → 1545_0_test_Store(EOS(STATIC_1545), java.lang.Object(o921sub), o904, java.lang.Object(List(EOC, o903)))
1545_0_test_Store(EOS(STATIC_1545), java.lang.Object(o921sub), o904, java.lang.Object(List(EOC, o903))) → 1547_0_test_New(EOS(STATIC_1547), java.lang.Object(o921sub), java.lang.Object(List(EOC, o903)), o904)
1547_0_test_New(EOS(STATIC_1547), java.lang.Object(o921sub), java.lang.Object(List(EOC, o903)), o904) → 1548_0_test_Duplicate(EOS(STATIC_1548), java.lang.Object(o921sub), java.lang.Object(List(EOC, o903)), o904, java.lang.Object(List(EOC, NULL)))
1548_0_test_Duplicate(EOS(STATIC_1548), java.lang.Object(o921sub), java.lang.Object(List(EOC, o903)), o904, java.lang.Object(List(EOC, NULL))) → 1549_0_test_Load(EOS(STATIC_1549), java.lang.Object(o921sub), java.lang.Object(List(EOC, o903)), o904, java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, NULL)))
1549_0_test_Load(EOS(STATIC_1549), java.lang.Object(o921sub), java.lang.Object(List(EOC, o903)), o904, java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, NULL))) → 1551_0_test_Load(EOS(STATIC_1551), java.lang.Object(o921sub), java.lang.Object(List(EOC, o903)), o904, java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, o903)))
1551_0_test_Load(EOS(STATIC_1551), java.lang.Object(o921sub), java.lang.Object(List(EOC, o903)), o904, java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, o903))) → 1552_0_test_InvokeMethod(EOS(STATIC_1552), java.lang.Object(o921sub), java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, o903)), o904)
1552_0_test_InvokeMethod(EOS(STATIC_1552), java.lang.Object(o921sub), java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, o903)), o904) → 1554_0_<init>_Load(EOS(STATIC_1554), java.lang.Object(o921sub), java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, o903)), o904, java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, o903)), o904)
1554_0_<init>_Load(EOS(STATIC_1554), java.lang.Object(o921sub), java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, o903)), o904, java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, o903)), o904) → 1555_0_<init>_InvokeMethod(EOS(STATIC_1555), java.lang.Object(o921sub), java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, o903)), o904, java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, o903)), o904, java.lang.Object(List(EOC, NULL)))
1555_0_<init>_InvokeMethod(EOS(STATIC_1555), java.lang.Object(o921sub), java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, o903)), o904, java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, o903)), o904, java.lang.Object(List(EOC, NULL))) → 1558_0_<init>_Load(EOS(STATIC_1558), java.lang.Object(o921sub), java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, o903)), o904, java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, o903)), o904)
1558_0_<init>_Load(EOS(STATIC_1558), java.lang.Object(o921sub), java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, o903)), o904, java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, o903)), o904) → 1559_0_<init>_Load(EOS(STATIC_1559), java.lang.Object(o921sub), java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, o903)), o904, java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, o903)), o904, java.lang.Object(List(EOC, NULL)))
1559_0_<init>_Load(EOS(STATIC_1559), java.lang.Object(o921sub), java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, o903)), o904, java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, o903)), o904, java.lang.Object(List(EOC, NULL))) → 1561_0_<init>_FieldAccess(EOS(STATIC_1561), java.lang.Object(o921sub), java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, o903)), o904, java.lang.Object(List(EOC, NULL)), o904, java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, o903)))
1561_0_<init>_FieldAccess(EOS(STATIC_1561), java.lang.Object(o921sub), java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, o903)), o904, java.lang.Object(List(EOC, NULL)), o904, java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, o903))) → 1568_0_<init>_Load(EOS(STATIC_1568), java.lang.Object(o921sub), java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, o903)), o904, java.lang.Object(List(EOC, NULL)), o904)
1568_0_<init>_Load(EOS(STATIC_1568), java.lang.Object(o921sub), java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, o903)), o904, java.lang.Object(List(EOC, NULL)), o904) → 1570_0_<init>_Load(EOS(STATIC_1570), java.lang.Object(o921sub), java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, o903)), o904, o904, java.lang.Object(List(EOC, NULL)))
1570_0_<init>_Load(EOS(STATIC_1570), java.lang.Object(o921sub), java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, o903)), o904, o904, java.lang.Object(List(EOC, NULL))) → 1571_0_<init>_FieldAccess(EOS(STATIC_1571), java.lang.Object(o921sub), java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, o903)), o904, java.lang.Object(List(EOC, NULL)), o904)
1571_0_<init>_FieldAccess(EOS(STATIC_1571), java.lang.Object(o921sub), java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, NULL)), java.lang.Object(List(EOC, o903)), o904, java.lang.Object(List(EOC, NULL)), o904) → 1576_0_<init>_Return(EOS(STATIC_1576), java.lang.Object(o921sub), java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, o904)), java.lang.Object(List(EOC, o904)), java.lang.Object(List(EOC, o903)), o904)
1576_0_<init>_Return(EOS(STATIC_1576), java.lang.Object(o921sub), java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, o904)), java.lang.Object(List(EOC, o904)), java.lang.Object(List(EOC, o903)), o904) → 1577_0_test_Store(EOS(STATIC_1577), java.lang.Object(o921sub), java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, o904)))
1577_0_test_Store(EOS(STATIC_1577), java.lang.Object(o921sub), java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, o904))) → 1579_0_test_Load(EOS(STATIC_1579), java.lang.Object(o921sub), java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, o904)))
1579_0_test_Load(EOS(STATIC_1579), java.lang.Object(o921sub), java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, o904))) → 1581_0_test_InvokeMethod(EOS(STATIC_1581), java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, o904)), java.lang.Object(o921sub))
1581_0_test_InvokeMethod(EOS(STATIC_1581), java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, o904)), java.lang.Object(o921sub)) → 1583_0_getTail_Load(EOS(STATIC_1583), java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, o904)), java.lang.Object(o921sub), java.lang.Object(o921sub))
1583_0_getTail_Load(EOS(STATIC_1583), java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, o904)), java.lang.Object(o921sub), java.lang.Object(o921sub)) → 1586_0_getTail_FieldAccess(EOS(STATIC_1586), java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, o904)), java.lang.Object(o921sub), java.lang.Object(o921sub))
1586_0_getTail_FieldAccess(EOS(STATIC_1586), java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, o904)), java.lang.Object(o921sub), java.lang.Object(o921sub)) → 1588_0_getTail_FieldAccess(EOS(STATIC_1588), java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, o904)), java.lang.Object(o921sub), java.lang.Object(o921sub))
1586_0_getTail_FieldAccess(EOS(STATIC_1586), java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, o904)), java.lang.Object(o921sub), java.lang.Object(o921sub)) → 1589_0_getTail_FieldAccess(EOS(STATIC_1589), java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, o904)), java.lang.Object(o921sub), java.lang.Object(o921sub))
1588_0_getTail_FieldAccess(EOS(STATIC_1588), java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, o904)), java.lang.Object(List(EOC, o977)), java.lang.Object(List(EOC, o977))) → 1591_0_getTail_FieldAccess(EOS(STATIC_1591), java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, o904)), java.lang.Object(List(EOC, o977)), java.lang.Object(List(EOC, o977)))
1589_0_getTail_FieldAccess(EOS(STATIC_1589), java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, o904)), java.lang.Object(List(EOC, o980)), java.lang.Object(List(EOC, o980))) → 1592_0_getTail_FieldAccess(EOS(STATIC_1592), java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, o904)), java.lang.Object(List(EOC, o980)), java.lang.Object(List(EOC, o980)))
1591_0_getTail_FieldAccess(EOS(STATIC_1591), java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, o904)), java.lang.Object(List(EOC, o977)), java.lang.Object(List(EOC, o977))) → 1594_0_getTail_Return(EOS(STATIC_1594), java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, o904)), java.lang.Object(List(EOC, o977)), o977)
1592_0_getTail_FieldAccess(EOS(STATIC_1592), java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, o904)), java.lang.Object(List(EOC, o980)), java.lang.Object(List(EOC, o980))) → 1595_0_getTail_Return(EOS(STATIC_1595), java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, o904)), java.lang.Object(List(EOC, o980)), o980)
1594_0_getTail_Return(EOS(STATIC_1594), java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, o904)), java.lang.Object(List(EOC, o977)), o977) → 1597_0_test_Store(EOS(STATIC_1597), java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, o904)), o977)
1595_0_getTail_Return(EOS(STATIC_1595), java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, o904)), java.lang.Object(List(EOC, o980)), o980) → 1598_0_test_Store(EOS(STATIC_1598), java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, o904)), o980)
1597_0_test_Store(EOS(STATIC_1597), java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, o904)), o977) → 1600_0_test_JMP(EOS(STATIC_1600), o977, java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, o904)))
1598_0_test_Store(EOS(STATIC_1598), java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, o904)), o980) → 1601_0_test_JMP(EOS(STATIC_1601), o980, java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, o904)))
1600_0_test_JMP(EOS(STATIC_1600), o977, java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, o904))) → 1612_0_test_Load(EOS(STATIC_1612), o977, java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, o904)))
1601_0_test_JMP(EOS(STATIC_1601), o980, java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, o904))) → 1624_0_test_Load(EOS(STATIC_1624), o980, java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, o904)))
1612_0_test_Load(EOS(STATIC_1612), o977, java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, o904))) → 1516_0_test_Load(EOS(STATIC_1516), o977, java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, o904)))
1624_0_test_Load(EOS(STATIC_1624), o980, java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, o904))) → 1516_0_test_Load(EOS(STATIC_1516), o980, java.lang.Object(List(EOC, o903)), java.lang.Object(List(EOC, o904)))

Combined rules. Obtained 14 conditional rules for P and 13 conditional rules for R.

P rules:
346_1_main_InvokeMethod(834_0_length_Return(EOS(STATIC_834), x0), x1, x2, x3, x1) → 845_1_main_InvokeMethod(845_0_length_ConstantStackPush(EOS(STATIC_845), x3), x2, x3, x1, x1, x3) | >(x0, 0)
845_1_main_InvokeMethod(834_0_length_Return(EOS(STATIC_834), x0), x1, x2, x3, x3, x2) → 896_1_main_InvokeMethod(896_0_length_ConstantStackPush(EOS(STATIC_896), x3), x1, x2, x3, x3) | <(0, %(x0, 3))
896_1_main_InvokeMethod(834_0_length_Return(EOS(STATIC_834), x0), x1, x2, x3, x3) → 923_0_main_NE(EOS(STATIC_923), x1, x2, x3, %(x0, 5))
923_0_main_NE(EOS(STATIC_923), x0, x1, x2, x3) → 1020_1_main_InvokeMethod(1020_0_length_ConstantStackPush(EOS(STATIC_1020), x0), x0, x1, x2, x0) | >(x3, 0)
1020_1_main_InvokeMethod(834_0_length_Return(EOS(STATIC_834), x0), x1, x2, x3, x1) → 1050_1_main_InvokeMethod(1050_0_length_ConstantStackPush(EOS(STATIC_1050), x2), x1, x2, x3, x0, x2)
1050_1_main_InvokeMethod(834_0_length_Return(EOS(STATIC_834), x0), x1, x2, x3, x4, x2) → 1090_1_main_InvokeMethod(1090_0_length_ConstantStackPush(EOS(STATIC_1090), x1), x1, x2, x3, x1) | <=(x4, x0)
1090_1_main_InvokeMethod(834_0_length_Return(EOS(STATIC_834), x0), x1, x2, x3, x1) → 1113_1_main_InvokeMethod(1113_0_length_ConstantStackPush(EOS(STATIC_1113), x2), x1, x2, x3, x0, x2)
1113_1_main_InvokeMethod(834_0_length_Return(EOS(STATIC_834), x0), x1, x2, java.lang.Object(List(EOC, x3)), x4, x2) → 1275_1_main_InvokeMethod(1275_0_test_Load(EOS(STATIC_1275), x1, x2, x3), x1, x2, x3, x1, x2, x3) | !(=(x4, x0))
1275_1_main_InvokeMethod(1522_0_test_Return(EOS(STATIC_1522)), x0, x1, x2, x0, x1, x2) → 346_1_main_InvokeMethod(346_0_length_ConstantStackPush(EOS(STATIC_346), x0), x0, x1, x2, x0)
1113_1_main_InvokeMethod(834_0_length_Return(EOS(STATIC_834), x0), x1, java.lang.Object(List(EOC, x2)), x3, x0, java.lang.Object(List(EOC, x2))) → 1275_1_main_InvokeMethod(1275_0_test_Load(EOS(STATIC_1275), x1, x2, x3), x1, x2, x3, x1, x2, x3)
1050_1_main_InvokeMethod(834_0_length_Return(EOS(STATIC_834), x0), java.lang.Object(List(EOC, x1)), x2, x3, x4, x2) → 1275_1_main_InvokeMethod(1275_0_test_Load(EOS(STATIC_1275), x1, x2, x3), x1, x2, x3, x1, x2, x3) | >(x4, x0)
923_0_main_NE(EOS(STATIC_923), x0, x1, java.lang.Object(List(EOC, x2)), 0) → 1020_1_main_InvokeMethod(1020_0_length_ConstantStackPush(EOS(STATIC_1020), x0), x0, x1, x2, x0)
845_1_main_InvokeMethod(834_0_length_Return(EOS(STATIC_834), x0), x1, x2, java.lang.Object(List(EOC, x3)), java.lang.Object(List(EOC, x3)), x2) → 937_1_main_InvokeMethod(937_0_length_ConstantStackPush(EOS(STATIC_937), java.lang.Object(List(EOC, x3))), x1, x2, java.lang.Object(List(EOC, x3)), java.lang.Object(List(EOC, x3))) | =(0, %(x0, 3))
937_1_main_InvokeMethod(834_0_length_Return(EOS(STATIC_834), x0), x1, x2, java.lang.Object(List(EOC, x3)), java.lang.Object(List(EOC, x3))) → 923_0_main_NE(EOS(STATIC_923), x1, x2, java.lang.Object(List(EOC, x3)), %(x0, 5))
R rules:
346_0_length_ConstantStackPush(EOS(STATIC_346), x0) → 820_0_length_NULL(EOS(STATIC_820), x0, 0, x0)
845_0_length_ConstantStackPush(EOS(STATIC_845), x0) → 820_0_length_NULL(EOS(STATIC_820), x0, 0, x0)
896_0_length_ConstantStackPush(EOS(STATIC_896), x0) → 820_0_length_NULL(EOS(STATIC_820), x0, 0, x0)
1020_0_length_ConstantStackPush(EOS(STATIC_1020), x0) → 820_0_length_NULL(EOS(STATIC_820), x0, 0, x0)
1050_0_length_ConstantStackPush(EOS(STATIC_1050), x0) → 820_0_length_NULL(EOS(STATIC_820), x0, 0, x0)
1090_0_length_ConstantStackPush(EOS(STATIC_1090), x0) → 820_0_length_NULL(EOS(STATIC_820), x0, 0, x0)
1113_0_length_ConstantStackPush(EOS(STATIC_1113), x0) → 820_0_length_NULL(EOS(STATIC_820), x0, 0, x0)
937_0_length_ConstantStackPush(EOS(STATIC_937), java.lang.Object(List(EOC, x0))) → 820_0_length_NULL(EOS(STATIC_820), java.lang.Object(List(EOC, x0)), 0, java.lang.Object(List(EOC, x0)))
820_0_length_NULL(EOS(STATIC_820), NULL, x0, NULL) → 834_0_length_Return(EOS(STATIC_834), x0)
820_0_length_NULL(EOS(STATIC_820), java.lang.Object(List(EOC, x0)), x1, java.lang.Object(List(EOC, x0))) → 820_0_length_NULL(EOS(STATIC_820), x0, +(x1, 1), x0) | >(+(x1, 1), 0)
1275_0_test_Load(EOS(STATIC_1275), x0, x1, x2) → 1518_0_test_NULL(EOS(STATIC_1518), x0, x1, x2, x0)
1518_0_test_NULL(EOS(STATIC_1518), NULL, x0, x1, NULL) → 1522_0_test_Return(EOS(STATIC_1522))
1518_0_test_NULL(EOS(STATIC_1518), java.lang.Object(List(EOC, x0)), x1, x2, java.lang.Object(List(EOC, x0))) → 1518_0_test_NULL(EOS(STATIC_1518), x0, java.lang.Object(List(EOC, x1)), java.lang.Object(List(EOC, x2)), x0)

Filtered ground terms:

923_0_main_NE(x1, x2, x3, x4, x5) → 923_0_main_NE(x2, x3, x4, x5)
List(x1, x2) → List(x2)
834_0_length_Return(x1, x2) → 834_0_length_Return(x2)
937_0_length_ConstantStackPush(x1, x2) → 937_0_length_ConstantStackPush(x2)
1020_0_length_ConstantStackPush(x1, x2) → 1020_0_length_ConstantStackPush(x2)
1275_0_test_Load(x1, x2, x3, x4) → 1275_0_test_Load(x2, x3, x4)
346_0_length_ConstantStackPush(x1, x2) → 346_0_length_ConstantStackPush(x2)
1522_0_test_Return(x1) → 1522_0_test_Return
1113_0_length_ConstantStackPush(x1, x2) → 1113_0_length_ConstantStackPush(x2)
1090_0_length_ConstantStackPush(x1, x2) → 1090_0_length_ConstantStackPush(x2)
1050_0_length_ConstantStackPush(x1, x2) → 1050_0_length_ConstantStackPush(x2)
Cond_923_0_main_NE(x1, x2, x3, x4, x5, x6) → Cond_923_0_main_NE(x1, x3, x4, x5, x6)
896_0_length_ConstantStackPush(x1, x2) → 896_0_length_ConstantStackPush(x2)
845_0_length_ConstantStackPush(x1, x2) → 845_0_length_ConstantStackPush(x2)
1518_0_test_NULL(x1, x2, x3, x4, x5) → 1518_0_test_NULL(x2, x3, x4, x5)
820_0_length_NULL(x1, x2, x3, x4) → 820_0_length_NULL(x2, x3, x4)
Cond_820_0_length_NULL(x1, x2, x3, x4, x5) → Cond_820_0_length_NULL(x1, x3, x4, x5)

Filtered duplicate args:

346_1_main_InvokeMethod(x1, x2, x3, x4, x5) → 346_1_main_InvokeMethod(x1, x3, x4, x5)
Cond_346_1_main_InvokeMethod(x1, x2, x3, x4, x5, x6) → Cond_346_1_main_InvokeMethod(x1, x2, x4, x5, x6)
845_1_main_InvokeMethod(x1, x2, x3, x4, x5, x6) → 845_1_main_InvokeMethod(x1, x2, x5, x6)
Cond_845_1_main_InvokeMethod(x1, x2, x3, x4, x5, x6, x7) → Cond_845_1_main_InvokeMethod(x1, x2, x3, x6, x7)
896_1_main_InvokeMethod(x1, x2, x3, x4, x5) → 896_1_main_InvokeMethod(x1, x2, x3, x5)
1020_1_main_InvokeMethod(x1, x2, x3, x4, x5) → 1020_1_main_InvokeMethod(x1, x3, x4, x5)
1050_1_main_InvokeMethod(x1, x2, x3, x4, x5, x6) → 1050_1_main_InvokeMethod(x1, x2, x4, x5, x6)
Cond_1050_1_main_InvokeMethod(x1, x2, x3, x4, x5, x6, x7) → Cond_1050_1_main_InvokeMethod(x1, x2, x3, x5, x6, x7)
1090_1_main_InvokeMethod(x1, x2, x3, x4, x5) → 1090_1_main_InvokeMethod(x1, x3, x4, x5)
1113_1_main_InvokeMethod(x1, x2, x3, x4, x5, x6) → 1113_1_main_InvokeMethod(x1, x2, x4, x5, x6)
Cond_1113_1_main_InvokeMethod(x1, x2, x3, x4, x5, x6, x7) → Cond_1113_1_main_InvokeMethod(x1, x2, x3, x5, x6, x7)
1275_1_main_InvokeMethod(x1, x2, x3, x4, x5, x6, x7) → 1275_1_main_InvokeMethod(x1, x5, x6, x7)
Cond_1050_1_main_InvokeMethod1(x1, x2, x3, x4, x5, x6, x7) → Cond_1050_1_main_InvokeMethod1(x1, x2, x3, x5, x6, x7)
Cond_845_1_main_InvokeMethod1(x1, x2, x3, x4, x5, x6, x7) → Cond_845_1_main_InvokeMethod1(x1, x2, x3, x6, x7)
937_1_main_InvokeMethod(x1, x2, x3, x4, x5) → 937_1_main_InvokeMethod(x1, x2, x3, x5)
820_0_length_NULL(x1, x2, x3) → 820_0_length_NULL(x2, x3)
Cond_820_0_length_NULL(x1, x2, x3, x4) → Cond_820_0_length_NULL(x1, x3, x4)
1518_0_test_NULL(x1, x2, x3, x4) → 1518_0_test_NULL(x2, x3, x4)

Filtered unneeded arguments:

Cond_346_1_main_InvokeMethod(x1, x2, x3, x4, x5) → Cond_346_1_main_InvokeMethod(x1, x3, x4, x5)
Cond_845_1_main_InvokeMethod(x1, x2, x3, x4, x5) → Cond_845_1_main_InvokeMethod(x1, x3, x4, x5)
Cond_923_0_main_NE(x1, x2, x3, x4, x5) → Cond_923_0_main_NE(x1, x2, x3, x4)
Cond_1050_1_main_InvokeMethod(x1, x2, x3, x4, x5, x6) → Cond_1050_1_main_InvokeMethod(x1, x3, x4, x6)
Cond_1113_1_main_InvokeMethod(x1, x2, x3, x4, x5, x6) → Cond_1113_1_main_InvokeMethod(x1, x3, x4, x6)
Cond_1050_1_main_InvokeMethod1(x1, x2, x3, x4, x5, x6) → Cond_1050_1_main_InvokeMethod1(x1, x3, x4, x6)
Cond_845_1_main_InvokeMethod1(x1, x2, x3, x4, x5) → Cond_845_1_main_InvokeMethod1(x1, x3, x4, x5)
1518_0_test_NULL(x1, x2, x3) → 1518_0_test_NULL(x3)
1275_0_test_Load(x1, x2, x3) → 1275_0_test_Load(x1)

Filtered modulo operations.

Combined rules. Obtained 14 conditional rules for P and 13 conditional rules for R.

P rules:
346_1_main_InvokeMethod(834_0_length_Return(x0), x2, x3, x1) → 845_1_main_InvokeMethod(845_0_length_ConstantStackPush(x3), x2, x1, x3) | >(x0, 0)
845_1_main_InvokeMethod(834_0_length_Return(x0), x1, x3, x2) → 896_1_main_InvokeMethod(896_0_length_ConstantStackPush(x3), x1, x2, x3)
896_1_main_InvokeMethod(834_0_length_Return(x0), x1, x2, x3) → 923_0_main_NE(x1, x2, x3, fresh2)
923_0_main_NE(x0, x1, x2, x3) → 1020_1_main_InvokeMethod(1020_0_length_ConstantStackPush(x0), x1, x2, x0) | >(x3, 0)
1020_1_main_InvokeMethod(834_0_length_Return(x0), x2, x3, x1) → 1050_1_main_InvokeMethod(1050_0_length_ConstantStackPush(x2), x1, x3, x0, x2)
1050_1_main_InvokeMethod(834_0_length_Return(x0), x1, x3, x4, x2) → 1090_1_main_InvokeMethod(1090_0_length_ConstantStackPush(x1), x2, x3, x1) | <=(x4, x0)
1090_1_main_InvokeMethod(834_0_length_Return(x0), x2, x3, x1) → 1113_1_main_InvokeMethod(1113_0_length_ConstantStackPush(x2), x1, x3, x0, x2)
1113_1_main_InvokeMethod(834_0_length_Return(x0), x1, java.lang.Object(List(x3)), x4, x2) → 1275_1_main_InvokeMethod(1275_0_test_Load(x1), x1, x2, x3) | !(=(x4, x0))
1275_1_main_InvokeMethod(1522_0_test_Return, x0, x1, x2) → 346_1_main_InvokeMethod(346_0_length_ConstantStackPush(x0), x1, x2, x0)
1113_1_main_InvokeMethod(834_0_length_Return(x0), x1, x3, x0, java.lang.Object(List(x2))) → 1275_1_main_InvokeMethod(1275_0_test_Load(x1), x1, x2, x3)
1050_1_main_InvokeMethod(834_0_length_Return(x0), java.lang.Object(List(x1)), x3, x4, x2) → 1275_1_main_InvokeMethod(1275_0_test_Load(x1), x1, x2, x3) | >(x4, x0)
923_0_main_NE(x0, x1, java.lang.Object(List(x2)), 0) → 1020_1_main_InvokeMethod(1020_0_length_ConstantStackPush(x0), x1, x2, x0)
845_1_main_InvokeMethod(834_0_length_Return(x0), x1, java.lang.Object(List(x3)), x2) → 937_1_main_InvokeMethod(937_0_length_ConstantStackPush(java.lang.Object(List(x3))), x1, x2, java.lang.Object(List(x3)))
937_1_main_InvokeMethod(834_0_length_Return(x0), x1, x2, java.lang.Object(List(x3))) → 923_0_main_NE(x1, x2, java.lang.Object(List(x3)), fresh2)
R rules:
346_0_length_ConstantStackPush(x0) → 820_0_length_NULL(0, x0)
845_0_length_ConstantStackPush(x0) → 820_0_length_NULL(0, x0)
896_0_length_ConstantStackPush(x0) → 820_0_length_NULL(0, x0)
1020_0_length_ConstantStackPush(x0) → 820_0_length_NULL(0, x0)
1050_0_length_ConstantStackPush(x0) → 820_0_length_NULL(0, x0)
1090_0_length_ConstantStackPush(x0) → 820_0_length_NULL(0, x0)
1113_0_length_ConstantStackPush(x0) → 820_0_length_NULL(0, x0)
937_0_length_ConstantStackPush(java.lang.Object(List(x0))) → 820_0_length_NULL(0, java.lang.Object(List(x0)))
820_0_length_NULL(x0, NULL) → 834_0_length_Return(x0)
820_0_length_NULL(x1, java.lang.Object(List(x0))) → 820_0_length_NULL(+(x1, 1), x0) | >(x1, -1)
1275_0_test_Load(x0) → 1518_0_test_NULL(x0)
1518_0_test_NULL(NULL) → 1522_0_test_Return
1518_0_test_NULL(java.lang.Object(List(x0))) → 1518_0_test_NULL(x0)

Performed bisimulation on rules. Used the following equivalence classes: {[346_0_length_ConstantStackPush_1, 845_0_length_ConstantStackPush_1, 896_0_length_ConstantStackPush_1, 1020_0_length_ConstantStackPush_1, 1050_0_length_ConstantStackPush_1, 1090_0_length_ConstantStackPush_1, 1113_0_length_ConstantStackPush_1]=346_0_length_ConstantStackPush_1, [List_1, 834_0_length_Return_1]=List_1}

Finished conversion. Obtained 19 rules for P and 8 rules for R. System has predefined symbols.

P rules:
346_1_MAIN_INVOKEMETHOD(List(x0), x2, x3, x1) → COND_346_1_MAIN_INVOKEMETHOD(>(x0, 0), List(x0), x2, x3, x1)
COND_346_1_MAIN_INVOKEMETHOD(TRUE, List(x0), x2, x3, x1) → 845_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x3), x2, x1, x3)
845_1_MAIN_INVOKEMETHOD(List(x0), x1, x3, x2) → 896_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x3), x1, x2, x3)
896_1_MAIN_INVOKEMETHOD(List(x0), x1, x2, x3) → 923_0_MAIN_NE(x1, x2, x3, fresh2)
923_0_MAIN_NE(x0, x1, x2, x3) → COND_923_0_MAIN_NE(>(x3, 0), x0, x1, x2, x3)
COND_923_0_MAIN_NE(TRUE, x0, x1, x2, x3) → 1020_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0), x1, x2, x0)
1020_1_MAIN_INVOKEMETHOD(List(x0), x2, x3, x1) → 1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2), x1, x3, x0, x2)
1050_1_MAIN_INVOKEMETHOD(List(x0), x1, x3, x4, x2) → COND_1050_1_MAIN_INVOKEMETHOD(<=(x4, x0), List(x0), x1, x3, x4, x2)
COND_1050_1_MAIN_INVOKEMETHOD(TRUE, List(x0), x1, x3, x4, x2) → 1090_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x1), x2, x3, x1)
1090_1_MAIN_INVOKEMETHOD(List(x0), x2, x3, x1) → 1113_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2), x1, x3, x0, x2)
1113_1_MAIN_INVOKEMETHOD(List(x0), x1, java.lang.Object(List(x3)), x4, x2) → COND_1113_1_MAIN_INVOKEMETHOD(!(=(x4, x0)), List(x0), x1, java.lang.Object(List(x3)), x4, x2)
COND_1113_1_MAIN_INVOKEMETHOD(TRUE, List(x0), x1, java.lang.Object(List(x3)), x4, x2) → 1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x1), x1, x2, x3)
1275_1_MAIN_INVOKEMETHOD(1522_0_test_Return, x0, x1, x2) → 346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0), x1, x2, x0)
1113_1_MAIN_INVOKEMETHOD(List(x0), x1, x3, x0, java.lang.Object(List(x2))) → 1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x1), x1, x2, x3)
1050_1_MAIN_INVOKEMETHOD(List(x0), java.lang.Object(List(x1)), x3, x4, x2) → COND_1050_1_MAIN_INVOKEMETHOD1(>(x4, x0), List(x0), java.lang.Object(List(x1)), x3, x4, x2)
COND_1050_1_MAIN_INVOKEMETHOD1(TRUE, List(x0), java.lang.Object(List(x1)), x3, x4, x2) → 1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x1), x1, x2, x3)
923_0_MAIN_NE(x0, x1, java.lang.Object(List(x2)), 0) → 1020_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0), x1, x2, x0)
845_1_MAIN_INVOKEMETHOD(List(x0), x1, java.lang.Object(List(x3)), x2) → 937_1_MAIN_INVOKEMETHOD(937_0_length_ConstantStackPush(java.lang.Object(List(x3))), x1, x2, java.lang.Object(List(x3)))
937_1_MAIN_INVOKEMETHOD(List(x0), x1, x2, java.lang.Object(List(x3))) → 923_0_MAIN_NE(x1, x2, java.lang.Object(List(x3)), fresh2)
R rules:
346_0_length_ConstantStackPush(x0) → 820_0_length_NULL(0, x0)
937_0_length_ConstantStackPush(java.lang.Object(List(x0))) → 820_0_length_NULL(0, java.lang.Object(List(x0)))
820_0_length_NULL(x0, NULL) → List(x0)
820_0_length_NULL(x1, java.lang.Object(List(x0))) → Cond_820_0_length_NULL(>(x1, -1), x1, java.lang.Object(List(x0)))
Cond_820_0_length_NULL(TRUE, x1, java.lang.Object(List(x0))) → 820_0_length_NULL(+(x1, 1), x0)
1275_0_test_Load(x0) → 1518_0_test_NULL(x0)
1518_0_test_NULL(NULL) → 1522_0_test_Return
1518_0_test_NULL(java.lang.Object(List(x0))) → 1518_0_test_NULL(x0)

(32) Obligation:

IDP problem:
The following function symbols are pre-defined:

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

The following domains are used:

Integer, Boolean

The ITRS R consists of the following rules:
346_0_length_ConstantStackPush(x0) → 820_0_length_NULL(0, x0)
937_0_length_ConstantStackPush(java.lang.Object(List(x0))) → 820_0_length_NULL(0, java.lang.Object(List(x0)))
820_0_length_NULL(x0, NULL) → List(x0)
820_0_length_NULL(x1, java.lang.Object(List(x0))) → Cond_820_0_length_NULL(x1 > -1, x1, java.lang.Object(List(x0)))
Cond_820_0_length_NULL(TRUE, x1, java.lang.Object(List(x0))) → 820_0_length_NULL(x1 + 1, x0)
1275_0_test_Load(x0) → 1518_0_test_NULL(x0)
1518_0_test_NULL(NULL) → 1522_0_test_Return
1518_0_test_NULL(java.lang.Object(List(x0))) → 1518_0_test_NULL(x0)

The integer pair graph contains the following rules and edges:
(0): 346_1_MAIN_INVOKEMETHOD(List(x0[0]), x2[0], x3[0], x1[0]) → COND_346_1_MAIN_INVOKEMETHOD(x0[0] > 0, List(x0[0]), x2[0], x3[0], x1[0])
(1): COND_346_1_MAIN_INVOKEMETHOD(TRUE, List(x0[1]), x2[1], x3[1], x1[1]) → 845_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x3[1]), x2[1], x1[1], x3[1])
(2): 845_1_MAIN_INVOKEMETHOD(List(x0[2]), x1[2], x3[2], x2[2]) → 896_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x3[2]), x1[2], x2[2], x3[2])
(3): 896_1_MAIN_INVOKEMETHOD(List(x0[3]), x1[3], x2[3], x3[3]) → 923_0_MAIN_NE(x1[3], x2[3], x3[3], fresh2[3])
(4): 923_0_MAIN_NE(x0[4], x1[4], x2[4], x3[4]) → COND_923_0_MAIN_NE(x3[4] > 0, x0[4], x1[4], x2[4], x3[4])
(5): COND_923_0_MAIN_NE(TRUE, x0[5], x1[5], x2[5], x3[5]) → 1020_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[5]), x1[5], x2[5], x0[5])
(6): 1020_1_MAIN_INVOKEMETHOD(List(x0[6]), x2[6], x3[6], x1[6]) → 1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])
(7): 1050_1_MAIN_INVOKEMETHOD(List(x0[7]), x1[7], x3[7], x4[7], x2[7]) → COND_1050_1_MAIN_INVOKEMETHOD(x4[7] <= x0[7], List(x0[7]), x1[7], x3[7], x4[7], x2[7])
(8): COND_1050_1_MAIN_INVOKEMETHOD(TRUE, List(x0[8]), x1[8], x3[8], x4[8], x2[8]) → 1090_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x1[8]), x2[8], x3[8], x1[8])
(9): 1090_1_MAIN_INVOKEMETHOD(List(x0[9]), x2[9], x3[9], x1[9]) → 1113_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[9]), x1[9], x3[9], x0[9], x2[9])
(10): 1113_1_MAIN_INVOKEMETHOD(List(x0[10]), x1[10], java.lang.Object(List(x3[10])), x4[10], x2[10]) → COND_1113_1_MAIN_INVOKEMETHOD(!(x4[10] = x0[10]), List(x0[10]), x1[10], java.lang.Object(List(x3[10])), x4[10], x2[10])
(11): COND_1113_1_MAIN_INVOKEMETHOD(TRUE, List(x0[11]), x1[11], java.lang.Object(List(x3[11])), x4[11], x2[11]) → 1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x1[11]), x1[11], x2[11], x3[11])
(12): 1275_1_MAIN_INVOKEMETHOD(1522_0_test_Return, x0[12], x1[12], x2[12]) → 346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[12]), x1[12], x2[12], x0[12])
(13): 1113_1_MAIN_INVOKEMETHOD(List(x0[13]), x1[13], x3[13], x0[13], java.lang.Object(List(x2[13]))) → 1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x1[13]), x1[13], x2[13], x3[13])
(14): 1050_1_MAIN_INVOKEMETHOD(List(x0[14]), java.lang.Object(List(x1[14])), x3[14], x4[14], x2[14]) → COND_1050_1_MAIN_INVOKEMETHOD1(x4[14] > x0[14], List(x0[14]), java.lang.Object(List(x1[14])), x3[14], x4[14], x2[14])
(15): COND_1050_1_MAIN_INVOKEMETHOD1(TRUE, List(x0[15]), java.lang.Object(List(x1[15])), x3[15], x4[15], x2[15]) → 1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x1[15]), x1[15], x2[15], x3[15])
(16): 923_0_MAIN_NE(x0[16], x1[16], java.lang.Object(List(x2[16])), 0) → 1020_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[16]), x1[16], x2[16], x0[16])
(17): 845_1_MAIN_INVOKEMETHOD(List(x0[17]), x1[17], java.lang.Object(List(x3[17])), x2[17]) → 937_1_MAIN_INVOKEMETHOD(937_0_length_ConstantStackPush(java.lang.Object(List(x3[17]))), x1[17], x2[17], java.lang.Object(List(x3[17])))
(18): 937_1_MAIN_INVOKEMETHOD(List(x0[18]), x1[18], x2[18], java.lang.Object(List(x3[18]))) → 923_0_MAIN_NE(x1[18], x2[18], java.lang.Object(List(x3[18])), fresh2[18])

(0) -> (1), if (x0[0] > 0 ∧List(x0[0]) →^* List(x0[1])∧x2[0] →^* x2[1]∧x3[0] →^* x3[1]∧x1[0] →^* x1[1])

(1) -> (2), if (346_0_length_ConstantStackPush(x3[1]) →^* List(x0[2])∧x2[1] →^* x1[2]∧x1[1] →^* x3[2]∧x3[1] →^* x2[2])

(1) -> (17), if (346_0_length_ConstantStackPush(x3[1]) →^* List(x0[17])∧x2[1] →^* x1[17]∧x1[1] →^* java.lang.Object(List(x3[17]))∧x3[1] →^* x2[17])

(2) -> (3), if (346_0_length_ConstantStackPush(x3[2]) →^* List(x0[3])∧x1[2] →^* x1[3]∧x2[2] →^* x2[3]∧x3[2] →^* x3[3])

(3) -> (4), if (x1[3] →^* x0[4]∧x2[3] →^* x1[4]∧x3[3] →^* x2[4]∧fresh2[3] →^* x3[4])

(3) -> (16), if (x1[3] →^* x0[16]∧x2[3] →^* x1[16]∧x3[3] →^* java.lang.Object(List(x2[16]))∧fresh2[3] →^* 0)

(4) -> (5), if (x3[4] > 0 ∧x0[4] →^* x0[5]∧x1[4] →^* x1[5]∧x2[4] →^* x2[5]∧x3[4] →^* x3[5])

(5) -> (6), if (346_0_length_ConstantStackPush(x0[5]) →^* List(x0[6])∧x1[5] →^* x2[6]∧x2[5] →^* x3[6]∧x0[5] →^* x1[6])

(6) -> (7), if (346_0_length_ConstantStackPush(x2[6]) →^* List(x0[7])∧x1[6] →^* x1[7]∧x3[6] →^* x3[7]∧x0[6] →^* x4[7]∧x2[6] →^* x2[7])

(6) -> (14), if (346_0_length_ConstantStackPush(x2[6]) →^* List(x0[14])∧x1[6] →^* java.lang.Object(List(x1[14]))∧x3[6] →^* x3[14]∧x0[6] →^* x4[14]∧x2[6] →^* x2[14])

(7) -> (8), if (x4[7] <= x0[7] ∧List(x0[7]) →^* List(x0[8])∧x1[7] →^* x1[8]∧x3[7] →^* x3[8]∧x4[7] →^* x4[8]∧x2[7] →^* x2[8])

(8) -> (9), if (346_0_length_ConstantStackPush(x1[8]) →^* List(x0[9])∧x2[8] →^* x2[9]∧x3[8] →^* x3[9]∧x1[8] →^* x1[9])

(9) -> (10), if (346_0_length_ConstantStackPush(x2[9]) →^* List(x0[10])∧x1[9] →^* x1[10]∧x3[9] →^* java.lang.Object(List(x3[10]))∧x0[9] →^* x4[10]∧x2[9] →^* x2[10])

(9) -> (13), if (346_0_length_ConstantStackPush(x2[9]) →^* List(x0[13])∧x1[9] →^* x1[13]∧x3[9] →^* x3[13]∧x0[9] →^* x0[13]∧x2[9] →^* java.lang.Object(List(x2[13])))

(10) -> (11), if (!(x4[10] = x0[10]) ∧List(x0[10]) →^* List(x0[11])∧x1[10] →^* x1[11]∧java.lang.Object(List(x3[10])) →^* java.lang.Object(List(x3[11]))∧x4[10] →^* x4[11]∧x2[10] →^* x2[11])

(11) -> (12), if (1275_0_test_Load(x1[11]) →^* 1522_0_test_Return∧x1[11] →^* x0[12]∧x2[11] →^* x1[12]∧x3[11] →^* x2[12])

(12) -> (0), if (346_0_length_ConstantStackPush(x0[12]) →^* List(x0[0])∧x1[12] →^* x2[0]∧x2[12] →^* x3[0]∧x0[12] →^* x1[0])

(13) -> (12), if (1275_0_test_Load(x1[13]) →^* 1522_0_test_Return∧x1[13] →^* x0[12]∧x2[13] →^* x1[12]∧x3[13] →^* x2[12])

(14) -> (15), if (x4[14] > x0[14] ∧List(x0[14]) →^* List(x0[15])∧java.lang.Object(List(x1[14])) →^* java.lang.Object(List(x1[15]))∧x3[14] →^* x3[15]∧x4[14] →^* x4[15]∧x2[14] →^* x2[15])

(15) -> (12), if (1275_0_test_Load(x1[15]) →^* 1522_0_test_Return∧x1[15] →^* x0[12]∧x2[15] →^* x1[12]∧x3[15] →^* x2[12])

(16) -> (6), if (346_0_length_ConstantStackPush(x0[16]) →^* List(x0[6])∧x1[16] →^* x2[6]∧x2[16] →^* x3[6]∧x0[16] →^* x1[6])

(17) -> (18), if (937_0_length_ConstantStackPush(java.lang.Object(List(x3[17]))) →^* List(x0[18])∧x1[17] →^* x1[18]∧x2[17] →^* x2[18]∧java.lang.Object(List(x3[17])) →^* java.lang.Object(List(x3[18])))

(18) -> (4), if (x1[18] →^* x0[4]∧x2[18] →^* x1[4]∧java.lang.Object(List(x3[18])) →^* x2[4]∧fresh2[18] →^* x3[4])

(18) -> (16), if (x1[18] →^* x0[16]∧x2[18] →^* x1[16]∧java.lang.Object(List(x3[18])) →^* java.lang.Object(List(x2[16]))∧fresh2[18] →^* 0)

The set Q consists of the following terms:
346_0_length_ConstantStackPush(x0)
937_0_length_ConstantStackPush(java.lang.Object(List(x0)))
820_0_length_NULL(x0, NULL)
820_0_length_NULL(x0, java.lang.Object(List(x1)))
Cond_820_0_length_NULL(TRUE, x0, java.lang.Object(List(x1)))
1275_0_test_Load(x0)
1518_0_test_NULL(NULL)
1518_0_test_NULL(java.lang.Object(List(x0)))

(33) IDPNonInfProof (SOUND transformation)

Used the following options for this NonInfProof:
IDPGPoloSolver: Range: [(-1,2)] IsNat: true Interpretation Shape Heuristic: aprove.DPFramework.IDPProblem.Processors.nonInf.poly.IdpDefaultShapeHeuristic@651d26b3 Constraint Generator: NonInfConstraintGenerator: PathGenerator: MetricPathGenerator: Max Left Steps: 1 Max Right Steps: 1

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 346_1_MAIN_INVOKEMETHOD(List(x0), x2, x3, x1) → COND_346_1_MAIN_INVOKEMETHOD(>(x0, 0), List(x0), x2, x3, x1) the following chains were created:

We consider the chain 346_1_MAIN_INVOKEMETHOD(List(x0[0]), x2[0], x3[0], x1[0]) → COND_346_1_MAIN_INVOKEMETHOD(>(x0[0], 0), List(x0[0]), x2[0], x3[0], x1[0]), COND_346_1_MAIN_INVOKEMETHOD(TRUE, List(x0[1]), x2[1], x3[1], x1[1]) → 845_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x3[1]), x2[1], x1[1], x3[1]) which results in the following constraint:
(1)    (>(x0[0], 0)=TRUE∧List(x0[0])=List(x0[1])∧x2[0]=x2[1]∧x3[0]=x3[1]∧x1[0]=x1[1] ⇒ 346_1_MAIN_INVOKEMETHOD(List(x0[0]), x2[0], x3[0], x1[0])≥NonInfC∧346_1_MAIN_INVOKEMETHOD(List(x0[0]), x2[0], x3[0], x1[0])≥COND_346_1_MAIN_INVOKEMETHOD(>(x0[0], 0), List(x0[0]), x2[0], x3[0], x1[0])∧(U^Increasing(COND_346_1_MAIN_INVOKEMETHOD(>(x0[0], 0), List(x0[0]), x2[0], x3[0], x1[0])), ≥))

We simplified constraint (1) using rules (I), (II), (IV) which results in the following new constraint:
(2)    (>(x0[0], 0)=TRUE ⇒ 346_1_MAIN_INVOKEMETHOD(List(x0[0]), x2[0], x3[0], x1[0])≥NonInfC∧346_1_MAIN_INVOKEMETHOD(List(x0[0]), x2[0], x3[0], x1[0])≥COND_346_1_MAIN_INVOKEMETHOD(>(x0[0], 0), List(x0[0]), x2[0], x3[0], x1[0])∧(U^Increasing(COND_346_1_MAIN_INVOKEMETHOD(>(x0[0], 0), List(x0[0]), x2[0], x3[0], x1[0])), ≥))

We simplified constraint (2) using rule (POLY_CONSTRAINTS) which results in the following new constraint:
(3)    (0 ≥ 0 ⇒ (U^Increasing(COND_346_1_MAIN_INVOKEMETHOD(>(x0[0], 0), List(x0[0]), x2[0], x3[0], x1[0])), ≥)∧[bni_107 + (-1)Bound*bni_107] + [(-1)bni_107]x1[0] ≥ 0∧[(-1)bso_108] ≥ 0)

We simplified constraint (3) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:
(4)    (0 ≥ 0 ⇒ (U^Increasing(COND_346_1_MAIN_INVOKEMETHOD(>(x0[0], 0), List(x0[0]), x2[0], x3[0], x1[0])), ≥)∧[bni_107 + (-1)Bound*bni_107] + [(-1)bni_107]x1[0] ≥ 0∧[(-1)bso_108] ≥ 0)

We simplified constraint (4) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:
(5)    (0 ≥ 0 ⇒ (U^Increasing(COND_346_1_MAIN_INVOKEMETHOD(>(x0[0], 0), List(x0[0]), x2[0], x3[0], x1[0])), ≥)∧[bni_107 + (-1)Bound*bni_107] + [(-1)bni_107]x1[0] ≥ 0∧[(-1)bso_108] ≥ 0)

We simplified constraint (5) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:
(6)    (0 ≥ 0 ⇒ (U^Increasing(COND_346_1_MAIN_INVOKEMETHOD(>(x0[0], 0), List(x0[0]), x2[0], x3[0], x1[0])), ≥)∧[(-1)bni_107] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[bni_107 + (-1)Bound*bni_107] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_108] ≥ 0)

For Pair COND_346_1_MAIN_INVOKEMETHOD(TRUE, List(x0), x2, x3, x1) → 845_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x3), x2, x1, x3) the following chains were created:

We consider the chain 346_1_MAIN_INVOKEMETHOD(List(x0[0]), x2[0], x3[0], x1[0]) → COND_346_1_MAIN_INVOKEMETHOD(>(x0[0], 0), List(x0[0]), x2[0], x3[0], x1[0]), COND_346_1_MAIN_INVOKEMETHOD(TRUE, List(x0[1]), x2[1], x3[1], x1[1]) → 845_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x3[1]), x2[1], x1[1], x3[1]), 845_1_MAIN_INVOKEMETHOD(List(x0[2]), x1[2], x3[2], x2[2]) → 896_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x3[2]), x1[2], x2[2], x3[2]) which results in the following constraint:
(7)    (>(x0[0], 0)=TRUE∧List(x0[0])=List(x0[1])∧x2[0]=x2[1]∧x3[0]=x3[1]∧x1[0]=x1[1]∧346_0_length_ConstantStackPush(x3[1])=List(x0[2])∧x2[1]=x1[2]∧x1[1]=x3[2]∧x3[1]=x2[2] ⇒ COND_346_1_MAIN_INVOKEMETHOD(TRUE, List(x0[1]), x2[1], x3[1], x1[1])≥NonInfC∧COND_346_1_MAIN_INVOKEMETHOD(TRUE, List(x0[1]), x2[1], x3[1], x1[1])≥845_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x3[1]), x2[1], x1[1], x3[1])∧(U^Increasing(845_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x3[1]), x2[1], x1[1], x3[1])), ≥))

We simplified constraint (7) using rules (I), (II), (III), (IV), (REWRITING) which results in the following new constraint:
(8)    (>(x0[0], 0)=TRUE∧820_0_length_NULL(0, x3[1])=List(x0[2]) ⇒ COND_346_1_MAIN_INVOKEMETHOD(TRUE, List(x0[0]), x2[0], x3[1], x1[0])≥NonInfC∧COND_346_1_MAIN_INVOKEMETHOD(TRUE, List(x0[0]), x2[0], x3[1], x1[0])≥845_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x3[1]), x2[0], x1[0], x3[1])∧(U^Increasing(845_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x3[1]), x2[1], x1[1], x3[1])), ≥))

We simplified constraint (8) using rule (POLY_CONSTRAINTS) which results in the following new constraint:
(9)    (0 ≥ 0 ⇒ (U^Increasing(845_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x3[1]), x2[1], x1[1], x3[1])), ≥)∧[bni_109 + (-1)Bound*bni_109] + [(-1)bni_109]x1[0] ≥ 0∧[(-1)bso_110] ≥ 0)

We simplified constraint (9) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:
(10)    (0 ≥ 0 ⇒ (U^Increasing(845_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x3[1]), x2[1], x1[1], x3[1])), ≥)∧[bni_109 + (-1)Bound*bni_109] + [(-1)bni_109]x1[0] ≥ 0∧[(-1)bso_110] ≥ 0)

We simplified constraint (10) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:
(11)    (0 ≥ 0 ⇒ (U^Increasing(845_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x3[1]), x2[1], x1[1], x3[1])), ≥)∧[bni_109 + (-1)Bound*bni_109] + [(-1)bni_109]x1[0] ≥ 0∧[(-1)bso_110] ≥ 0)

We simplified constraint (11) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:
(12)    (0 ≥ 0 ⇒ (U^Increasing(845_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x3[1]), x2[1], x1[1], x3[1])), ≥)∧[(-1)bni_109] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[bni_109 + (-1)Bound*bni_109] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_110] ≥ 0)
We consider the chain 346_1_MAIN_INVOKEMETHOD(List(x0[0]), x2[0], x3[0], x1[0]) → COND_346_1_MAIN_INVOKEMETHOD(>(x0[0], 0), List(x0[0]), x2[0], x3[0], x1[0]), COND_346_1_MAIN_INVOKEMETHOD(TRUE, List(x0[1]), x2[1], x3[1], x1[1]) → 845_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x3[1]), x2[1], x1[1], x3[1]), 845_1_MAIN_INVOKEMETHOD(List(x0[17]), x1[17], java.lang.Object(List(x3[17])), x2[17]) → 937_1_MAIN_INVOKEMETHOD(937_0_length_ConstantStackPush(java.lang.Object(List(x3[17]))), x1[17], x2[17], java.lang.Object(List(x3[17]))) which results in the following constraint:
(13)    (>(x0[0], 0)=TRUE∧List(x0[0])=List(x0[1])∧x2[0]=x2[1]∧x3[0]=x3[1]∧x1[0]=x1[1]∧346_0_length_ConstantStackPush(x3[1])=List(x0[17])∧x2[1]=x1[17]∧x1[1]=java.lang.Object(List(x3[17]))∧x3[1]=x2[17] ⇒ COND_346_1_MAIN_INVOKEMETHOD(TRUE, List(x0[1]), x2[1], x3[1], x1[1])≥NonInfC∧COND_346_1_MAIN_INVOKEMETHOD(TRUE, List(x0[1]), x2[1], x3[1], x1[1])≥845_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x3[1]), x2[1], x1[1], x3[1])∧(U^Increasing(845_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x3[1]), x2[1], x1[1], x3[1])), ≥))

We simplified constraint (13) using rules (I), (II), (III), (IV), (REWRITING) which results in the following new constraint:
(14)    (>(x0[0], 0)=TRUE∧820_0_length_NULL(0, x3[1])=List(x0[17]) ⇒ COND_346_1_MAIN_INVOKEMETHOD(TRUE, List(x0[0]), x2[0], x3[1], java.lang.Object(List(x3[17])))≥NonInfC∧COND_346_1_MAIN_INVOKEMETHOD(TRUE, List(x0[0]), x2[0], x3[1], java.lang.Object(List(x3[17])))≥845_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x3[1]), x2[0], java.lang.Object(List(x3[17])), x3[1])∧(U^Increasing(845_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x3[1]), x2[1], x1[1], x3[1])), ≥))

We simplified constraint (14) using rule (POLY_CONSTRAINTS) which results in the following new constraint:
(15)    (0 ≥ 0 ⇒ (U^Increasing(845_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x3[1]), x2[1], x1[1], x3[1])), ≥)∧[bni_109 + (-1)Bound*bni_109] ≥ 0∧[(-1)bso_110] ≥ 0)

We simplified constraint (15) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:
(16)    (0 ≥ 0 ⇒ (U^Increasing(845_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x3[1]), x2[1], x1[1], x3[1])), ≥)∧[bni_109 + (-1)Bound*bni_109] ≥ 0∧[(-1)bso_110] ≥ 0)

We simplified constraint (16) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:
(17)    (0 ≥ 0 ⇒ (U^Increasing(845_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x3[1]), x2[1], x1[1], x3[1])), ≥)∧[bni_109 + (-1)Bound*bni_109] ≥ 0∧[(-1)bso_110] ≥ 0)

We simplified constraint (17) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:
(18)    (0 ≥ 0 ⇒ (U^Increasing(845_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x3[1]), x2[1], x1[1], x3[1])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[bni_109 + (-1)Bound*bni_109] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_110] ≥ 0)

For Pair 845_1_MAIN_INVOKEMETHOD(List(x0), x1, x3, x2) → 896_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x3), x1, x2, x3) the following chains were created:

We consider the chain COND_346_1_MAIN_INVOKEMETHOD(TRUE, List(x0[1]), x2[1], x3[1], x1[1]) → 845_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x3[1]), x2[1], x1[1], x3[1]), 845_1_MAIN_INVOKEMETHOD(List(x0[2]), x1[2], x3[2], x2[2]) → 896_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x3[2]), x1[2], x2[2], x3[2]), 896_1_MAIN_INVOKEMETHOD(List(x0[3]), x1[3], x2[3], x3[3]) → 923_0_MAIN_NE(x1[3], x2[3], x3[3], fresh2[3]) which results in the following constraint:
(19)    (346_0_length_ConstantStackPush(x3[1])=List(x0[2])∧x2[1]=x1[2]∧x1[1]=x3[2]∧x3[1]=x2[2]∧346_0_length_ConstantStackPush(x3[2])=List(x0[3])∧x1[2]=x1[3]∧x2[2]=x2[3]∧x3[2]=x3[3] ⇒ 845_1_MAIN_INVOKEMETHOD(List(x0[2]), x1[2], x3[2], x2[2])≥NonInfC∧845_1_MAIN_INVOKEMETHOD(List(x0[2]), x1[2], x3[2], x2[2])≥896_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x3[2]), x1[2], x2[2], x3[2])∧(U^Increasing(896_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x3[2]), x1[2], x2[2], x3[2])), ≥))

We simplified constraint (19) using rules (III), (IV), (VII), (REWRITING) which results in the following new constraint:
(20)    (0=x0∧820_0_length_NULL(x0, x3[1])=List(x0[2])∧0=x1∧820_0_length_NULL(x1, x3[2])=List(x0[3]) ⇒ 845_1_MAIN_INVOKEMETHOD(List(x0[2]), x2[1], x3[2], x3[1])≥NonInfC∧845_1_MAIN_INVOKEMETHOD(List(x0[2]), x2[1], x3[2], x3[1])≥896_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x3[2]), x2[1], x3[1], x3[2])∧(U^Increasing(896_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x3[2]), x1[2], x2[2], x3[2])), ≥))

We simplified constraint (20) using rule (V) (with possible (I) afterwards) using induction on 820_0_length_NULL(x0, x3[1])=List(x0[2]) which results in the following new constraints:
(21)    (List(x2)=List(x0[2])∧0=x2∧0=x1∧820_0_length_NULL(x1, x3[2])=List(x0[3]) ⇒ 845_1_MAIN_INVOKEMETHOD(List(x0[2]), x2[1], x3[2], NULL)≥NonInfC∧845_1_MAIN_INVOKEMETHOD(List(x0[2]), x2[1], x3[2], NULL)≥896_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x3[2]), x2[1], NULL, x3[2])∧(U^Increasing(896_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x3[2]), x1[2], x2[2], x3[2])), ≥))

(22)    (Cond_820_0_length_NULL(>(x4, -1), x4, java.lang.Object(List(x3)))=List(x0[2])∧0=x4∧0=x1∧820_0_length_NULL(x1, x3[2])=List(x0[3]) ⇒ 845_1_MAIN_INVOKEMETHOD(List(x0[2]), x2[1], x3[2], java.lang.Object(List(x3)))≥NonInfC∧845_1_MAIN_INVOKEMETHOD(List(x0[2]), x2[1], x3[2], java.lang.Object(List(x3)))≥896_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x3[2]), x2[1], java.lang.Object(List(x3)), x3[2])∧(U^Increasing(896_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x3[2]), x1[2], x2[2], x3[2])), ≥))

We simplified constraint (21) using rules (I), (II), (III) which results in the following new constraint:
(23)    (0=x1∧820_0_length_NULL(x1, x3[2])=List(x0[3]) ⇒ 845_1_MAIN_INVOKEMETHOD(List(0), x2[1], x3[2], NULL)≥NonInfC∧845_1_MAIN_INVOKEMETHOD(List(0), x2[1], x3[2], NULL)≥896_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x3[2]), x2[1], NULL, x3[2])∧(U^Increasing(896_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x3[2]), x1[2], x2[2], x3[2])), ≥))

We simplified constraint (22) using rule (VII) which results in the following new constraint:
(24)    (>(x4, -1)=x10∧java.lang.Object(List(x3))=x11∧Cond_820_0_length_NULL(x10, x4, x11)=List(x0[2])∧0=x4∧0=x1∧820_0_length_NULL(x1, x3[2])=List(x0[3]) ⇒ 845_1_MAIN_INVOKEMETHOD(List(x0[2]), x2[1], x3[2], java.lang.Object(List(x3)))≥NonInfC∧845_1_MAIN_INVOKEMETHOD(List(x0[2]), x2[1], x3[2], java.lang.Object(List(x3)))≥896_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x3[2]), x2[1], java.lang.Object(List(x3)), x3[2])∧(U^Increasing(896_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x3[2]), x1[2], x2[2], x3[2])), ≥))

We simplified constraint (23) using rule (V) (with possible (I) afterwards) using induction on 820_0_length_NULL(x1, x3[2])=List(x0[3]) which results in the following new constraints:
(25)    (List(x5)=List(x0[3])∧0=x5 ⇒ 845_1_MAIN_INVOKEMETHOD(List(0), x2[1], NULL, NULL)≥NonInfC∧845_1_MAIN_INVOKEMETHOD(List(0), x2[1], NULL, NULL)≥896_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(NULL), x2[1], NULL, NULL)∧(U^Increasing(896_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x3[2]), x1[2], x2[2], x3[2])), ≥))

(26)    (Cond_820_0_length_NULL(>(x7, -1), x7, java.lang.Object(List(x6)))=List(x0[3])∧0=x7 ⇒ 845_1_MAIN_INVOKEMETHOD(List(0), x2[1], java.lang.Object(List(x6)), NULL)≥NonInfC∧845_1_MAIN_INVOKEMETHOD(List(0), x2[1], java.lang.Object(List(x6)), NULL)≥896_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(java.lang.Object(List(x6))), x2[1], NULL, java.lang.Object(List(x6)))∧(U^Increasing(896_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x3[2]), x1[2], x2[2], x3[2])), ≥))

We simplified constraint (25) using rules (I), (II), (IV) which results in the following new constraint:
(27)    (845_1_MAIN_INVOKEMETHOD(List(0), x2[1], NULL, NULL)≥NonInfC∧845_1_MAIN_INVOKEMETHOD(List(0), x2[1], NULL, NULL)≥896_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(NULL), x2[1], NULL, NULL)∧(U^Increasing(896_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x3[2]), x1[2], x2[2], x3[2])), ≥))

We simplified constraint (26) using rules (III), (VII), (IDP_CONSTANT_FOLD) which results in the following new constraint:
(28)    (Cond_820_0_length_NULL(TRUE, 0, java.lang.Object(List(x6)))=List(x0[3]) ⇒ 845_1_MAIN_INVOKEMETHOD(List(0), x2[1], java.lang.Object(List(x6)), NULL)≥NonInfC∧845_1_MAIN_INVOKEMETHOD(List(0), x2[1], java.lang.Object(List(x6)), NULL)≥896_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(java.lang.Object(List(x6))), x2[1], NULL, java.lang.Object(List(x6)))∧(U^Increasing(896_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x3[2]), x1[2], x2[2], x3[2])), ≥))

We simplified constraint (27) using rule (POLY_CONSTRAINTS) which results in the following new constraint:
(29)    ((U^Increasing(896_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x3[2]), x1[2], x2[2], x3[2])), ≥)∧[bni_111] = 0∧[(-1)bso_112] ≥ 0)

We simplified constraint (24) using rule (V) (with possible (I) afterwards) using induction on 820_0_length_NULL(x1, x3[2])=List(x0[3]) which results in the following new constraints:
(30)    (List(x12)=List(x0[3])∧>(x4, -1)=x10∧java.lang.Object(List(x3))=x11∧Cond_820_0_length_NULL(x10, x4, x11)=List(x0[2])∧0=x4∧0=x12 ⇒ 845_1_MAIN_INVOKEMETHOD(List(x0[2]), x2[1], NULL, java.lang.Object(List(x3)))≥NonInfC∧845_1_MAIN_INVOKEMETHOD(List(x0[2]), x2[1], NULL, java.lang.Object(List(x3)))≥896_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(NULL), x2[1], java.lang.Object(List(x3)), NULL)∧(U^Increasing(896_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x3[2]), x1[2], x2[2], x3[2])), ≥))

(31)    (Cond_820_0_length_NULL(>(x14, -1), x14, java.lang.Object(List(x13)))=List(x0[3])∧>(x4, -1)=x10∧java.lang.Object(List(x3))=x11∧Cond_820_0_length_NULL(x10, x4, x11)=List(x0[2])∧0=x4∧0=x14 ⇒ 845_1_MAIN_INVOKEMETHOD(List(x0[2]), x2[1], java.lang.Object(List(x13)), java.lang.Object(List(x3)))≥NonInfC∧845_1_MAIN_INVOKEMETHOD(List(x0[2]), x2[1], java.lang.Object(List(x13)), java.lang.Object(List(x3)))≥896_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(java.lang.Object(List(x13))), x2[1], java.lang.Object(List(x3)), java.lang.Object(List(x13)))∧(U^Increasing(896_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x3[2]), x1[2], x2[2], x3[2])), ≥))

We simplified constraint (30) using rules (I), (II), (III), (IV), (IDP_CONSTANT_FOLD) which results in the following new constraint:
(32)    (Cond_820_0_length_NULL(TRUE, 0, java.lang.Object(List(x3)))=List(x0[2]) ⇒ 845_1_MAIN_INVOKEMETHOD(List(x0[2]), x2[1], NULL, java.lang.Object(List(x3)))≥NonInfC∧845_1_MAIN_INVOKEMETHOD(List(x0[2]), x2[1], NULL, java.lang.Object(List(x3)))≥896_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(NULL), x2[1], java.lang.Object(List(x3)), NULL)∧(U^Increasing(896_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x3[2]), x1[2], x2[2], x3[2])), ≥))

We simplified constraint (31) using rules (III), (VII), (IDP_CONSTANT_FOLD) which results in the following new constraint:
(33)    (Cond_820_0_length_NULL(TRUE, 0, java.lang.Object(List(x3)))=List(x0[2])∧Cond_820_0_length_NULL(TRUE, 0, java.lang.Object(List(x13)))=List(x0[3]) ⇒ 845_1_MAIN_INVOKEMETHOD(List(x0[2]), x2[1], java.lang.Object(List(x13)), java.lang.Object(List(x3)))≥NonInfC∧845_1_MAIN_INVOKEMETHOD(List(x0[2]), x2[1], java.lang.Object(List(x13)), java.lang.Object(List(x3)))≥896_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(java.lang.Object(List(x13))), x2[1], java.lang.Object(List(x3)), java.lang.Object(List(x13)))∧(U^Increasing(896_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x3[2]), x1[2], x2[2], x3[2])), ≥))

We simplified constraint (28) using rule (POLY_CONSTRAINTS) which results in the following new constraint:
(34)    ((U^Increasing(896_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x3[2]), x1[2], x2[2], x3[2])), ≥)∧0 ≥ 0∧[2 + (-1)bso_112] ≥ 0)

We simplified constraint (32) using rule (POLY_CONSTRAINTS) which results in the following new constraint:
(35)    ((U^Increasing(896_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x3[2]), x1[2], x2[2], x3[2])), ≥)∧0 ≥ 0∧[(-1)bso_112] ≥ 0)

We simplified constraint (33) using rule (POLY_CONSTRAINTS) which results in the following new constraint:
(36)    ((U^Increasing(896_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x3[2]), x1[2], x2[2], x3[2])), ≥)∧0 ≥ 0∧[2 + (-1)bso_112] ≥ 0)

We simplified constraint (29) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:
(37)    ((U^Increasing(896_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x3[2]), x1[2], x2[2], x3[2])), ≥)∧[bni_111] = 0∧[(-1)bso_112] ≥ 0)

We simplified constraint (35) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:
(38)    ((U^Increasing(896_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x3[2]), x1[2], x2[2], x3[2])), ≥)∧0 ≥ 0∧[(-1)bso_112] ≥ 0)

We simplified constraint (34) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:
(39)    ((U^Increasing(896_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x3[2]), x1[2], x2[2], x3[2])), ≥)∧0 ≥ 0∧[2 + (-1)bso_112] ≥ 0)

We simplified constraint (36) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:
(40)    ((U^Increasing(896_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x3[2]), x1[2], x2[2], x3[2])), ≥)∧0 ≥ 0∧[2 + (-1)bso_112] ≥ 0)

We simplified constraint (37) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:
(41)    ((U^Increasing(896_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x3[2]), x1[2], x2[2], x3[2])), ≥)∧[bni_111] = 0∧[(-1)bso_112] ≥ 0)

We simplified constraint (38) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:
(42)    ((U^Increasing(896_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x3[2]), x1[2], x2[2], x3[2])), ≥)∧0 ≥ 0∧[(-1)bso_112] ≥ 0)

We simplified constraint (39) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:
(43)    ((U^Increasing(896_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x3[2]), x1[2], x2[2], x3[2])), ≥)∧0 ≥ 0∧[2 + (-1)bso_112] ≥ 0)

We simplified constraint (40) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:
(44)    ((U^Increasing(896_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x3[2]), x1[2], x2[2], x3[2])), ≥)∧0 ≥ 0∧[2 + (-1)bso_112] ≥ 0)

We simplified constraint (41) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:
(45)    ((U^Increasing(896_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x3[2]), x1[2], x2[2], x3[2])), ≥)∧[bni_111] = 0∧0 ≥ 0∧[(-1)bso_112] ≥ 0)

We simplified constraint (42) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:
(46)    ((U^Increasing(896_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x3[2]), x1[2], x2[2], x3[2])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_112] ≥ 0)

We simplified constraint (43) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:
(47)    ((U^Increasing(896_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x3[2]), x1[2], x2[2], x3[2])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[2 + (-1)bso_112] ≥ 0)

We simplified constraint (44) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:
(48)    ((U^Increasing(896_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x3[2]), x1[2], x2[2], x3[2])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[2 + (-1)bso_112] ≥ 0)

For Pair 896_1_MAIN_INVOKEMETHOD(List(x0), x1, x2, x3) → 923_0_MAIN_NE(x1, x2, x3, fresh2) the following chains were created:

We consider the chain 845_1_MAIN_INVOKEMETHOD(List(x0[2]), x1[2], x3[2], x2[2]) → 896_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x3[2]), x1[2], x2[2], x3[2]), 896_1_MAIN_INVOKEMETHOD(List(x0[3]), x1[3], x2[3], x3[3]) → 923_0_MAIN_NE(x1[3], x2[3], x3[3], fresh2[3]), 923_0_MAIN_NE(x0[4], x1[4], x2[4], x3[4]) → COND_923_0_MAIN_NE(>(x3[4], 0), x0[4], x1[4], x2[4], x3[4]) which results in the following constraint:
(49)    (346_0_length_ConstantStackPush(x3[2])=List(x0[3])∧x1[2]=x1[3]∧x2[2]=x2[3]∧x3[2]=x3[3]∧x1[3]=x0[4]∧x2[3]=x1[4]∧x3[3]=x2[4]∧fresh2[3]=x3[4] ⇒ 896_1_MAIN_INVOKEMETHOD(List(x0[3]), x1[3], x2[3], x3[3])≥NonInfC∧896_1_MAIN_INVOKEMETHOD(List(x0[3]), x1[3], x2[3], x3[3])≥923_0_MAIN_NE(x1[3], x2[3], x3[3], fresh2[3])∧(U^Increasing(923_0_MAIN_NE(x1[3], x2[3], x3[3], fresh2[3])), ≥))

We simplified constraint (49) using rules (III), (IV), (VII), (REWRITING) which results in the following new constraint:
(50)    (0=x17∧820_0_length_NULL(x17, x3[2])=List(x0[3]) ⇒ 896_1_MAIN_INVOKEMETHOD(List(x0[3]), x1[2], x2[2], x3[2])≥NonInfC∧896_1_MAIN_INVOKEMETHOD(List(x0[3]), x1[2], x2[2], x3[2])≥923_0_MAIN_NE(x1[2], x2[2], x3[2], fresh2[3])∧(U^Increasing(923_0_MAIN_NE(x1[3], x2[3], x3[3], fresh2[3])), ≥))

We simplified constraint (50) using rule (V) (with possible (I) afterwards) using induction on 820_0_length_NULL(x17, x3[2])=List(x0[3]) which results in the following new constraints:
(51)    (List(x18)=List(x0[3])∧0=x18 ⇒ 896_1_MAIN_INVOKEMETHOD(List(x0[3]), x1[2], x2[2], NULL)≥NonInfC∧896_1_MAIN_INVOKEMETHOD(List(x0[3]), x1[2], x2[2], NULL)≥923_0_MAIN_NE(x1[2], x2[2], NULL, fresh2[3])∧(U^Increasing(923_0_MAIN_NE(x1[3], x2[3], x3[3], fresh2[3])), ≥))

(52)    (Cond_820_0_length_NULL(>(x20, -1), x20, java.lang.Object(List(x19)))=List(x0[3])∧0=x20 ⇒ 896_1_MAIN_INVOKEMETHOD(List(x0[3]), x1[2], x2[2], java.lang.Object(List(x19)))≥NonInfC∧896_1_MAIN_INVOKEMETHOD(List(x0[3]), x1[2], x2[2], java.lang.Object(List(x19)))≥923_0_MAIN_NE(x1[2], x2[2], java.lang.Object(List(x19)), fresh2[3])∧(U^Increasing(923_0_MAIN_NE(x1[3], x2[3], x3[3], fresh2[3])), ≥))

We simplified constraint (51) using rules (I), (II), (III) which results in the following new constraint:
(53)    (896_1_MAIN_INVOKEMETHOD(List(0), x1[2], x2[2], NULL)≥NonInfC∧896_1_MAIN_INVOKEMETHOD(List(0), x1[2], x2[2], NULL)≥923_0_MAIN_NE(x1[2], x2[2], NULL, fresh2[3])∧(U^Increasing(923_0_MAIN_NE(x1[3], x2[3], x3[3], fresh2[3])), ≥))

We simplified constraint (52) using rules (III), (VII), (IDP_CONSTANT_FOLD) which results in the following new constraint:
(54)    (Cond_820_0_length_NULL(TRUE, 0, java.lang.Object(List(x19)))=List(x0[3]) ⇒ 896_1_MAIN_INVOKEMETHOD(List(x0[3]), x1[2], x2[2], java.lang.Object(List(x19)))≥NonInfC∧896_1_MAIN_INVOKEMETHOD(List(x0[3]), x1[2], x2[2], java.lang.Object(List(x19)))≥923_0_MAIN_NE(x1[2], x2[2], java.lang.Object(List(x19)), fresh2[3])∧(U^Increasing(923_0_MAIN_NE(x1[3], x2[3], x3[3], fresh2[3])), ≥))

We simplified constraint (53) using rule (POLY_CONSTRAINTS) which results in the following new constraint:
(55)    ((U^Increasing(923_0_MAIN_NE(x1[3], x2[3], x3[3], fresh2[3])), ≥)∧[bni_113] = 0∧[(-1)bso_114] ≥ 0)

We simplified constraint (54) using rule (POLY_CONSTRAINTS) which results in the following new constraint:
(56)    ((U^Increasing(923_0_MAIN_NE(x1[3], x2[3], x3[3], fresh2[3])), ≥)∧0 ≥ 0∧[(-1)bso_114] ≥ 0)

We simplified constraint (55) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:
(57)    ((U^Increasing(923_0_MAIN_NE(x1[3], x2[3], x3[3], fresh2[3])), ≥)∧[bni_113] = 0∧[(-1)bso_114] ≥ 0)

We simplified constraint (56) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:
(58)    ((U^Increasing(923_0_MAIN_NE(x1[3], x2[3], x3[3], fresh2[3])), ≥)∧0 ≥ 0∧[(-1)bso_114] ≥ 0)

We simplified constraint (57) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:
(59)    ((U^Increasing(923_0_MAIN_NE(x1[3], x2[3], x3[3], fresh2[3])), ≥)∧[bni_113] = 0∧[(-1)bso_114] ≥ 0)

We simplified constraint (58) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:
(60)    ((U^Increasing(923_0_MAIN_NE(x1[3], x2[3], x3[3], fresh2[3])), ≥)∧0 ≥ 0∧[(-1)bso_114] ≥ 0)

We simplified constraint (59) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:
(61)    ((U^Increasing(923_0_MAIN_NE(x1[3], x2[3], x3[3], fresh2[3])), ≥)∧[bni_113] = 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_114] ≥ 0)

We simplified constraint (60) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:
(62)    ((U^Increasing(923_0_MAIN_NE(x1[3], x2[3], x3[3], fresh2[3])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_114] ≥ 0)
We consider the chain 845_1_MAIN_INVOKEMETHOD(List(x0[2]), x1[2], x3[2], x2[2]) → 896_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x3[2]), x1[2], x2[2], x3[2]), 896_1_MAIN_INVOKEMETHOD(List(x0[3]), x1[3], x2[3], x3[3]) → 923_0_MAIN_NE(x1[3], x2[3], x3[3], fresh2[3]), 923_0_MAIN_NE(x0[16], x1[16], java.lang.Object(List(x2[16])), 0) → 1020_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[16]), x1[16], x2[16], x0[16]) which results in the following constraint:
(63)    (346_0_length_ConstantStackPush(x3[2])=List(x0[3])∧x1[2]=x1[3]∧x2[2]=x2[3]∧x3[2]=x3[3]∧x1[3]=x0[16]∧x2[3]=x1[16]∧x3[3]=java.lang.Object(List(x2[16]))∧fresh2[3]=0 ⇒ 896_1_MAIN_INVOKEMETHOD(List(x0[3]), x1[3], x2[3], x3[3])≥NonInfC∧896_1_MAIN_INVOKEMETHOD(List(x0[3]), x1[3], x2[3], x3[3])≥923_0_MAIN_NE(x1[3], x2[3], x3[3], fresh2[3])∧(U^Increasing(923_0_MAIN_NE(x1[3], x2[3], x3[3], fresh2[3])), ≥))

We simplified constraint (63) using rules (III), (IV), (VII), (IDP_CONSTANT_FOLD), (REWRITING) which results in the following new constraint:
(64)    (1=x23∧820_0_length_NULL(x23, x2[16])=List(x0[3]) ⇒ 896_1_MAIN_INVOKEMETHOD(List(x0[3]), x1[2], x2[2], java.lang.Object(List(x2[16])))≥NonInfC∧896_1_MAIN_INVOKEMETHOD(List(x0[3]), x1[2], x2[2], java.lang.Object(List(x2[16])))≥923_0_MAIN_NE(x1[2], x2[2], java.lang.Object(List(x2[16])), 0)∧(U^Increasing(923_0_MAIN_NE(x1[3], x2[3], x3[3], fresh2[3])), ≥))

We simplified constraint (64) using rule (V) (with possible (I) afterwards) using induction on 820_0_length_NULL(x23, x2[16])=List(x0[3]) which results in the following new constraints:
(65)    (List(x24)=List(x0[3])∧1=x24 ⇒ 896_1_MAIN_INVOKEMETHOD(List(x0[3]), x1[2], x2[2], java.lang.Object(List(NULL)))≥NonInfC∧896_1_MAIN_INVOKEMETHOD(List(x0[3]), x1[2], x2[2], java.lang.Object(List(NULL)))≥923_0_MAIN_NE(x1[2], x2[2], java.lang.Object(List(NULL)), 0)∧(U^Increasing(923_0_MAIN_NE(x1[3], x2[3], x3[3], fresh2[3])), ≥))

(66)    (Cond_820_0_length_NULL(>(x26, -1), x26, java.lang.Object(List(x25)))=List(x0[3])∧1=x26 ⇒ 896_1_MAIN_INVOKEMETHOD(List(x0[3]), x1[2], x2[2], java.lang.Object(List(java.lang.Object(List(x25)))))≥NonInfC∧896_1_MAIN_INVOKEMETHOD(List(x0[3]), x1[2], x2[2], java.lang.Object(List(java.lang.Object(List(x25)))))≥923_0_MAIN_NE(x1[2], x2[2], java.lang.Object(List(java.lang.Object(List(x25)))), 0)∧(U^Increasing(923_0_MAIN_NE(x1[3], x2[3], x3[3], fresh2[3])), ≥))

We simplified constraint (65) using rules (I), (II), (III) which results in the following new constraint:
(67)    (896_1_MAIN_INVOKEMETHOD(List(1), x1[2], x2[2], java.lang.Object(List(NULL)))≥NonInfC∧896_1_MAIN_INVOKEMETHOD(List(1), x1[2], x2[2], java.lang.Object(List(NULL)))≥923_0_MAIN_NE(x1[2], x2[2], java.lang.Object(List(NULL)), 0)∧(U^Increasing(923_0_MAIN_NE(x1[3], x2[3], x3[3], fresh2[3])), ≥))

We simplified constraint (66) using rules (III), (VII), (IDP_CONSTANT_FOLD) which results in the following new constraint:
(68)    (Cond_820_0_length_NULL(TRUE, 1, java.lang.Object(List(x25)))=List(x0[3]) ⇒ 896_1_MAIN_INVOKEMETHOD(List(x0[3]), x1[2], x2[2], java.lang.Object(List(java.lang.Object(List(x25)))))≥NonInfC∧896_1_MAIN_INVOKEMETHOD(List(x0[3]), x1[2], x2[2], java.lang.Object(List(java.lang.Object(List(x25)))))≥923_0_MAIN_NE(x1[2], x2[2], java.lang.Object(List(java.lang.Object(List(x25)))), 0)∧(U^Increasing(923_0_MAIN_NE(x1[3], x2[3], x3[3], fresh2[3])), ≥))

We simplified constraint (67) using rule (POLY_CONSTRAINTS) which results in the following new constraint:
(69)    ((U^Increasing(923_0_MAIN_NE(x1[3], x2[3], x3[3], fresh2[3])), ≥)∧[bni_113] = 0∧[(-1)bso_114] ≥ 0)

We simplified constraint (68) using rule (POLY_CONSTRAINTS) which results in the following new constraint:
(70)    ((U^Increasing(923_0_MAIN_NE(x1[3], x2[3], x3[3], fresh2[3])), ≥)∧0 ≥ 0∧[(-1)bso_114] ≥ 0)

We simplified constraint (69) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:
(71)    ((U^Increasing(923_0_MAIN_NE(x1[3], x2[3], x3[3], fresh2[3])), ≥)∧[bni_113] = 0∧[(-1)bso_114] ≥ 0)

We simplified constraint (70) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:
(72)    ((U^Increasing(923_0_MAIN_NE(x1[3], x2[3], x3[3], fresh2[3])), ≥)∧0 ≥ 0∧[(-1)bso_114] ≥ 0)

We simplified constraint (71) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:
(73)    ((U^Increasing(923_0_MAIN_NE(x1[3], x2[3], x3[3], fresh2[3])), ≥)∧[bni_113] = 0∧[(-1)bso_114] ≥ 0)

We simplified constraint (72) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:
(74)    ((U^Increasing(923_0_MAIN_NE(x1[3], x2[3], x3[3], fresh2[3])), ≥)∧0 ≥ 0∧[(-1)bso_114] ≥ 0)

We simplified constraint (73) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:
(75)    ((U^Increasing(923_0_MAIN_NE(x1[3], x2[3], x3[3], fresh2[3])), ≥)∧[bni_113] = 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_114] ≥ 0)

We simplified constraint (74) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:
(76)    ((U^Increasing(923_0_MAIN_NE(x1[3], x2[3], x3[3], fresh2[3])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_114] ≥ 0)

For Pair 923_0_MAIN_NE(x0, x1, x2, x3) → COND_923_0_MAIN_NE(>(x3, 0), x0, x1, x2, x3) the following chains were created:

We consider the chain 923_0_MAIN_NE(x0[4], x1[4], x2[4], x3[4]) → COND_923_0_MAIN_NE(>(x3[4], 0), x0[4], x1[4], x2[4], x3[4]), COND_923_0_MAIN_NE(TRUE, x0[5], x1[5], x2[5], x3[5]) → 1020_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[5]), x1[5], x2[5], x0[5]) which results in the following constraint:
(77)    (>(x3[4], 0)=TRUE∧x0[4]=x0[5]∧x1[4]=x1[5]∧x2[4]=x2[5]∧x3[4]=x3[5] ⇒ 923_0_MAIN_NE(x0[4], x1[4], x2[4], x3[4])≥NonInfC∧923_0_MAIN_NE(x0[4], x1[4], x2[4], x3[4])≥COND_923_0_MAIN_NE(>(x3[4], 0), x0[4], x1[4], x2[4], x3[4])∧(U^Increasing(COND_923_0_MAIN_NE(>(x3[4], 0), x0[4], x1[4], x2[4], x3[4])), ≥))

We simplified constraint (77) using rule (IV) which results in the following new constraint:
(78)    (>(x3[4], 0)=TRUE ⇒ 923_0_MAIN_NE(x0[4], x1[4], x2[4], x3[4])≥NonInfC∧923_0_MAIN_NE(x0[4], x1[4], x2[4], x3[4])≥COND_923_0_MAIN_NE(>(x3[4], 0), x0[4], x1[4], x2[4], x3[4])∧(U^Increasing(COND_923_0_MAIN_NE(>(x3[4], 0), x0[4], x1[4], x2[4], x3[4])), ≥))

We simplified constraint (78) using rule (POLY_CONSTRAINTS) which results in the following new constraint:
(79)    (0 ≥ 0 ⇒ (U^Increasing(COND_923_0_MAIN_NE(>(x3[4], 0), x0[4], x1[4], x2[4], x3[4])), ≥)∧[(-1)bni_115 + (-1)Bound*bni_115] ≥ 0∧[(-1)bso_116] ≥ 0)

We simplified constraint (79) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:
(80)    (0 ≥ 0 ⇒ (U^Increasing(COND_923_0_MAIN_NE(>(x3[4], 0), x0[4], x1[4], x2[4], x3[4])), ≥)∧[(-1)bni_115 + (-1)Bound*bni_115] ≥ 0∧[(-1)bso_116] ≥ 0)

We simplified constraint (80) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:
(81)    (0 ≥ 0 ⇒ (U^Increasing(COND_923_0_MAIN_NE(>(x3[4], 0), x0[4], x1[4], x2[4], x3[4])), ≥)∧[(-1)bni_115 + (-1)Bound*bni_115] ≥ 0∧[(-1)bso_116] ≥ 0)

We simplified constraint (81) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:
(82)    (0 ≥ 0 ⇒ (U^Increasing(COND_923_0_MAIN_NE(>(x3[4], 0), x0[4], x1[4], x2[4], x3[4])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bni_115 + (-1)Bound*bni_115] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_116] ≥ 0)

For Pair COND_923_0_MAIN_NE(TRUE, x0, x1, x2, x3) → 1020_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0), x1, x2, x0) the following chains were created:

We consider the chain 923_0_MAIN_NE(x0[4], x1[4], x2[4], x3[4]) → COND_923_0_MAIN_NE(>(x3[4], 0), x0[4], x1[4], x2[4], x3[4]), COND_923_0_MAIN_NE(TRUE, x0[5], x1[5], x2[5], x3[5]) → 1020_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[5]), x1[5], x2[5], x0[5]), 1020_1_MAIN_INVOKEMETHOD(List(x0[6]), x2[6], x3[6], x1[6]) → 1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6]) which results in the following constraint:
(83)    (>(x3[4], 0)=TRUE∧x0[4]=x0[5]∧x1[4]=x1[5]∧x2[4]=x2[5]∧x3[4]=x3[5]∧346_0_length_ConstantStackPush(x0[5])=List(x0[6])∧x1[5]=x2[6]∧x2[5]=x3[6]∧x0[5]=x1[6] ⇒ COND_923_0_MAIN_NE(TRUE, x0[5], x1[5], x2[5], x3[5])≥NonInfC∧COND_923_0_MAIN_NE(TRUE, x0[5], x1[5], x2[5], x3[5])≥1020_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[5]), x1[5], x2[5], x0[5])∧(U^Increasing(1020_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[5]), x1[5], x2[5], x0[5])), ≥))

We simplified constraint (83) using rules (III), (IV), (REWRITING) which results in the following new constraint:
(84)    (>(x3[4], 0)=TRUE∧820_0_length_NULL(0, x0[5])=List(x0[6]) ⇒ COND_923_0_MAIN_NE(TRUE, x0[5], x1[4], x2[4], x3[4])≥NonInfC∧COND_923_0_MAIN_NE(TRUE, x0[5], x1[4], x2[4], x3[4])≥1020_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[5]), x1[4], x2[4], x0[5])∧(U^Increasing(1020_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[5]), x1[5], x2[5], x0[5])), ≥))

We simplified constraint (84) using rule (POLY_CONSTRAINTS) which results in the following new constraint:
(85)    (0 ≥ 0 ⇒ (U^Increasing(1020_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[5]), x1[5], x2[5], x0[5])), ≥)∧[(-1)bni_117 + (-1)Bound*bni_117] ≥ 0∧[(-1)bso_118] ≥ 0)

We simplified constraint (85) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:
(86)    (0 ≥ 0 ⇒ (U^Increasing(1020_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[5]), x1[5], x2[5], x0[5])), ≥)∧[(-1)bni_117 + (-1)Bound*bni_117] ≥ 0∧[(-1)bso_118] ≥ 0)

We simplified constraint (86) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:
(87)    (0 ≥ 0 ⇒ (U^Increasing(1020_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[5]), x1[5], x2[5], x0[5])), ≥)∧[(-1)bni_117 + (-1)Bound*bni_117] ≥ 0∧[(-1)bso_118] ≥ 0)

We simplified constraint (87) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:
(88)    (0 ≥ 0 ⇒ (U^Increasing(1020_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[5]), x1[5], x2[5], x0[5])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bni_117 + (-1)Bound*bni_117] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_118] ≥ 0)

For Pair 1020_1_MAIN_INVOKEMETHOD(List(x0), x2, x3, x1) → 1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2), x1, x3, x0, x2) the following chains were created:

We consider the chain COND_923_0_MAIN_NE(TRUE, x0[5], x1[5], x2[5], x3[5]) → 1020_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[5]), x1[5], x2[5], x0[5]), 1020_1_MAIN_INVOKEMETHOD(List(x0[6]), x2[6], x3[6], x1[6]) → 1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6]), 1050_1_MAIN_INVOKEMETHOD(List(x0[7]), x1[7], x3[7], x4[7], x2[7]) → COND_1050_1_MAIN_INVOKEMETHOD(<=(x4[7], x0[7]), List(x0[7]), x1[7], x3[7], x4[7], x2[7]) which results in the following constraint:
(89)    (346_0_length_ConstantStackPush(x0[5])=List(x0[6])∧x1[5]=x2[6]∧x2[5]=x3[6]∧x0[5]=x1[6]∧346_0_length_ConstantStackPush(x2[6])=List(x0[7])∧x1[6]=x1[7]∧x3[6]=x3[7]∧x0[6]=x4[7]∧x2[6]=x2[7] ⇒ 1020_1_MAIN_INVOKEMETHOD(List(x0[6]), x2[6], x3[6], x1[6])≥NonInfC∧1020_1_MAIN_INVOKEMETHOD(List(x0[6]), x2[6], x3[6], x1[6])≥1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])∧(U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥))

We simplified constraint (89) using rules (III), (IV), (VII), (REWRITING) which results in the following new constraint:
(90)    (0=x29∧820_0_length_NULL(x29, x0[5])=List(x0[6])∧0=x30∧820_0_length_NULL(x30, x2[6])=List(x0[7]) ⇒ 1020_1_MAIN_INVOKEMETHOD(List(x0[6]), x2[6], x2[5], x0[5])≥NonInfC∧1020_1_MAIN_INVOKEMETHOD(List(x0[6]), x2[6], x2[5], x0[5])≥1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x0[5], x2[5], x0[6], x2[6])∧(U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥))

We simplified constraint (90) using rule (V) (with possible (I) afterwards) using induction on 820_0_length_NULL(x29, x0[5])=List(x0[6]) which results in the following new constraints:
(91)    (List(x31)=List(x0[6])∧0=x31∧0=x30∧820_0_length_NULL(x30, x2[6])=List(x0[7]) ⇒ 1020_1_MAIN_INVOKEMETHOD(List(x0[6]), x2[6], x2[5], NULL)≥NonInfC∧1020_1_MAIN_INVOKEMETHOD(List(x0[6]), x2[6], x2[5], NULL)≥1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), NULL, x2[5], x0[6], x2[6])∧(U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥))

(92)    (Cond_820_0_length_NULL(>(x33, -1), x33, java.lang.Object(List(x32)))=List(x0[6])∧0=x33∧0=x30∧820_0_length_NULL(x30, x2[6])=List(x0[7]) ⇒ 1020_1_MAIN_INVOKEMETHOD(List(x0[6]), x2[6], x2[5], java.lang.Object(List(x32)))≥NonInfC∧1020_1_MAIN_INVOKEMETHOD(List(x0[6]), x2[6], x2[5], java.lang.Object(List(x32)))≥1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), java.lang.Object(List(x32)), x2[5], x0[6], x2[6])∧(U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥))

We simplified constraint (91) using rules (I), (II), (III) which results in the following new constraint:
(93)    (0=x30∧820_0_length_NULL(x30, x2[6])=List(x0[7]) ⇒ 1020_1_MAIN_INVOKEMETHOD(List(0), x2[6], x2[5], NULL)≥NonInfC∧1020_1_MAIN_INVOKEMETHOD(List(0), x2[6], x2[5], NULL)≥1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), NULL, x2[5], 0, x2[6])∧(U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥))

We simplified constraint (92) using rule (VII) which results in the following new constraint:
(94)    (>(x33, -1)=x39∧java.lang.Object(List(x32))=x40∧Cond_820_0_length_NULL(x39, x33, x40)=List(x0[6])∧0=x33∧0=x30∧820_0_length_NULL(x30, x2[6])=List(x0[7]) ⇒ 1020_1_MAIN_INVOKEMETHOD(List(x0[6]), x2[6], x2[5], java.lang.Object(List(x32)))≥NonInfC∧1020_1_MAIN_INVOKEMETHOD(List(x0[6]), x2[6], x2[5], java.lang.Object(List(x32)))≥1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), java.lang.Object(List(x32)), x2[5], x0[6], x2[6])∧(U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥))

We simplified constraint (93) using rule (V) (with possible (I) afterwards) using induction on 820_0_length_NULL(x30, x2[6])=List(x0[7]) which results in the following new constraints:
(95)    (List(x34)=List(x0[7])∧0=x34 ⇒ 1020_1_MAIN_INVOKEMETHOD(List(0), NULL, x2[5], NULL)≥NonInfC∧1020_1_MAIN_INVOKEMETHOD(List(0), NULL, x2[5], NULL)≥1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(NULL), NULL, x2[5], 0, NULL)∧(U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥))

(96)    (Cond_820_0_length_NULL(>(x36, -1), x36, java.lang.Object(List(x35)))=List(x0[7])∧0=x36 ⇒ 1020_1_MAIN_INVOKEMETHOD(List(0), java.lang.Object(List(x35)), x2[5], NULL)≥NonInfC∧1020_1_MAIN_INVOKEMETHOD(List(0), java.lang.Object(List(x35)), x2[5], NULL)≥1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(java.lang.Object(List(x35))), NULL, x2[5], 0, java.lang.Object(List(x35)))∧(U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥))

We simplified constraint (95) using rules (I), (II), (IV) which results in the following new constraint:
(97)    (1020_1_MAIN_INVOKEMETHOD(List(0), NULL, x2[5], NULL)≥NonInfC∧1020_1_MAIN_INVOKEMETHOD(List(0), NULL, x2[5], NULL)≥1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(NULL), NULL, x2[5], 0, NULL)∧(U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥))

We simplified constraint (96) using rules (III), (VII), (IDP_CONSTANT_FOLD) which results in the following new constraint:
(98)    (Cond_820_0_length_NULL(TRUE, 0, java.lang.Object(List(x35)))=List(x0[7]) ⇒ 1020_1_MAIN_INVOKEMETHOD(List(0), java.lang.Object(List(x35)), x2[5], NULL)≥NonInfC∧1020_1_MAIN_INVOKEMETHOD(List(0), java.lang.Object(List(x35)), x2[5], NULL)≥1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(java.lang.Object(List(x35))), NULL, x2[5], 0, java.lang.Object(List(x35)))∧(U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥))

We simplified constraint (97) using rule (POLY_CONSTRAINTS) which results in the following new constraint:
(99)    ((U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥)∧[bni_119] = 0∧[(-1)bso_120] ≥ 0)

We simplified constraint (94) using rule (V) (with possible (I) afterwards) using induction on 820_0_length_NULL(x30, x2[6])=List(x0[7]) which results in the following new constraints:
(100)    (List(x41)=List(x0[7])∧>(x33, -1)=x39∧java.lang.Object(List(x32))=x40∧Cond_820_0_length_NULL(x39, x33, x40)=List(x0[6])∧0=x33∧0=x41 ⇒ 1020_1_MAIN_INVOKEMETHOD(List(x0[6]), NULL, x2[5], java.lang.Object(List(x32)))≥NonInfC∧1020_1_MAIN_INVOKEMETHOD(List(x0[6]), NULL, x2[5], java.lang.Object(List(x32)))≥1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(NULL), java.lang.Object(List(x32)), x2[5], x0[6], NULL)∧(U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥))

(101)    (Cond_820_0_length_NULL(>(x43, -1), x43, java.lang.Object(List(x42)))=List(x0[7])∧>(x33, -1)=x39∧java.lang.Object(List(x32))=x40∧Cond_820_0_length_NULL(x39, x33, x40)=List(x0[6])∧0=x33∧0=x43 ⇒ 1020_1_MAIN_INVOKEMETHOD(List(x0[6]), java.lang.Object(List(x42)), x2[5], java.lang.Object(List(x32)))≥NonInfC∧1020_1_MAIN_INVOKEMETHOD(List(x0[6]), java.lang.Object(List(x42)), x2[5], java.lang.Object(List(x32)))≥1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(java.lang.Object(List(x42))), java.lang.Object(List(x32)), x2[5], x0[6], java.lang.Object(List(x42)))∧(U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥))

We simplified constraint (100) using rules (I), (II), (III), (IV), (IDP_CONSTANT_FOLD) which results in the following new constraint:
(102)    (Cond_820_0_length_NULL(TRUE, 0, java.lang.Object(List(x32)))=List(x0[6]) ⇒ 1020_1_MAIN_INVOKEMETHOD(List(x0[6]), NULL, x2[5], java.lang.Object(List(x32)))≥NonInfC∧1020_1_MAIN_INVOKEMETHOD(List(x0[6]), NULL, x2[5], java.lang.Object(List(x32)))≥1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(NULL), java.lang.Object(List(x32)), x2[5], x0[6], NULL)∧(U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥))

We simplified constraint (101) using rules (III), (VII), (IDP_CONSTANT_FOLD) which results in the following new constraint:
(103)    (Cond_820_0_length_NULL(TRUE, 0, java.lang.Object(List(x32)))=List(x0[6])∧Cond_820_0_length_NULL(TRUE, 0, java.lang.Object(List(x42)))=List(x0[7]) ⇒ 1020_1_MAIN_INVOKEMETHOD(List(x0[6]), java.lang.Object(List(x42)), x2[5], java.lang.Object(List(x32)))≥NonInfC∧1020_1_MAIN_INVOKEMETHOD(List(x0[6]), java.lang.Object(List(x42)), x2[5], java.lang.Object(List(x32)))≥1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(java.lang.Object(List(x42))), java.lang.Object(List(x32)), x2[5], x0[6], java.lang.Object(List(x42)))∧(U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥))

We simplified constraint (98) using rule (POLY_CONSTRAINTS) which results in the following new constraint:
(104)    ((U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥)∧0 ≥ 0∧[(-1)bso_120] ≥ 0)

We simplified constraint (102) using rule (POLY_CONSTRAINTS) which results in the following new constraint:
(105)    ((U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥)∧0 ≥ 0∧[(-1)bso_120] ≥ 0)

We simplified constraint (103) using rule (POLY_CONSTRAINTS) which results in the following new constraint:
(106)    ((U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥)∧0 ≥ 0∧[(-1)bso_120] ≥ 0)

We simplified constraint (99) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:
(107)    ((U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥)∧[bni_119] = 0∧[(-1)bso_120] ≥ 0)

We simplified constraint (105) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:
(108)    ((U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥)∧0 ≥ 0∧[(-1)bso_120] ≥ 0)

We simplified constraint (104) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:
(109)    ((U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥)∧0 ≥ 0∧[(-1)bso_120] ≥ 0)

We simplified constraint (106) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:
(110)    ((U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥)∧0 ≥ 0∧[(-1)bso_120] ≥ 0)

We simplified constraint (107) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:
(111)    ((U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥)∧[bni_119] = 0∧[(-1)bso_120] ≥ 0)

We simplified constraint (108) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:
(112)    ((U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥)∧0 ≥ 0∧[(-1)bso_120] ≥ 0)

We simplified constraint (109) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:
(113)    ((U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥)∧0 ≥ 0∧[(-1)bso_120] ≥ 0)

We simplified constraint (110) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:
(114)    ((U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥)∧0 ≥ 0∧[(-1)bso_120] ≥ 0)

We simplified constraint (111) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:
(115)    ((U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥)∧[bni_119] = 0∧0 ≥ 0∧[(-1)bso_120] ≥ 0)

We simplified constraint (112) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:
(116)    ((U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_120] ≥ 0)

We simplified constraint (113) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:
(117)    ((U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_120] ≥ 0)

We simplified constraint (114) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:
(118)    ((U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_120] ≥ 0)
We consider the chain 923_0_MAIN_NE(x0[16], x1[16], java.lang.Object(List(x2[16])), 0) → 1020_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[16]), x1[16], x2[16], x0[16]), 1020_1_MAIN_INVOKEMETHOD(List(x0[6]), x2[6], x3[6], x1[6]) → 1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6]), 1050_1_MAIN_INVOKEMETHOD(List(x0[7]), x1[7], x3[7], x4[7], x2[7]) → COND_1050_1_MAIN_INVOKEMETHOD(<=(x4[7], x0[7]), List(x0[7]), x1[7], x3[7], x4[7], x2[7]) which results in the following constraint:
(119)    (346_0_length_ConstantStackPush(x0[16])=List(x0[6])∧x1[16]=x2[6]∧x2[16]=x3[6]∧x0[16]=x1[6]∧346_0_length_ConstantStackPush(x2[6])=List(x0[7])∧x1[6]=x1[7]∧x3[6]=x3[7]∧x0[6]=x4[7]∧x2[6]=x2[7] ⇒ 1020_1_MAIN_INVOKEMETHOD(List(x0[6]), x2[6], x3[6], x1[6])≥NonInfC∧1020_1_MAIN_INVOKEMETHOD(List(x0[6]), x2[6], x3[6], x1[6])≥1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])∧(U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥))

We simplified constraint (119) using rules (III), (IV), (VII), (REWRITING) which results in the following new constraint:
(120)    (0=x46∧820_0_length_NULL(x46, x0[16])=List(x0[6])∧0=x47∧820_0_length_NULL(x47, x2[6])=List(x0[7]) ⇒ 1020_1_MAIN_INVOKEMETHOD(List(x0[6]), x2[6], x2[16], x0[16])≥NonInfC∧1020_1_MAIN_INVOKEMETHOD(List(x0[6]), x2[6], x2[16], x0[16])≥1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x0[16], x2[16], x0[6], x2[6])∧(U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥))

We simplified constraint (120) using rule (V) (with possible (I) afterwards) using induction on 820_0_length_NULL(x46, x0[16])=List(x0[6]) which results in the following new constraints:
(121)    (List(x48)=List(x0[6])∧0=x48∧0=x47∧820_0_length_NULL(x47, x2[6])=List(x0[7]) ⇒ 1020_1_MAIN_INVOKEMETHOD(List(x0[6]), x2[6], x2[16], NULL)≥NonInfC∧1020_1_MAIN_INVOKEMETHOD(List(x0[6]), x2[6], x2[16], NULL)≥1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), NULL, x2[16], x0[6], x2[6])∧(U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥))

(122)    (Cond_820_0_length_NULL(>(x50, -1), x50, java.lang.Object(List(x49)))=List(x0[6])∧0=x50∧0=x47∧820_0_length_NULL(x47, x2[6])=List(x0[7]) ⇒ 1020_1_MAIN_INVOKEMETHOD(List(x0[6]), x2[6], x2[16], java.lang.Object(List(x49)))≥NonInfC∧1020_1_MAIN_INVOKEMETHOD(List(x0[6]), x2[6], x2[16], java.lang.Object(List(x49)))≥1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), java.lang.Object(List(x49)), x2[16], x0[6], x2[6])∧(U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥))

We simplified constraint (121) using rules (I), (II), (III) which results in the following new constraint:
(123)    (0=x47∧820_0_length_NULL(x47, x2[6])=List(x0[7]) ⇒ 1020_1_MAIN_INVOKEMETHOD(List(0), x2[6], x2[16], NULL)≥NonInfC∧1020_1_MAIN_INVOKEMETHOD(List(0), x2[6], x2[16], NULL)≥1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), NULL, x2[16], 0, x2[6])∧(U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥))

We simplified constraint (122) using rule (VII) which results in the following new constraint:
(124)    (>(x50, -1)=x56∧java.lang.Object(List(x49))=x57∧Cond_820_0_length_NULL(x56, x50, x57)=List(x0[6])∧0=x50∧0=x47∧820_0_length_NULL(x47, x2[6])=List(x0[7]) ⇒ 1020_1_MAIN_INVOKEMETHOD(List(x0[6]), x2[6], x2[16], java.lang.Object(List(x49)))≥NonInfC∧1020_1_MAIN_INVOKEMETHOD(List(x0[6]), x2[6], x2[16], java.lang.Object(List(x49)))≥1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), java.lang.Object(List(x49)), x2[16], x0[6], x2[6])∧(U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥))

We simplified constraint (123) using rule (V) (with possible (I) afterwards) using induction on 820_0_length_NULL(x47, x2[6])=List(x0[7]) which results in the following new constraints:
(125)    (List(x51)=List(x0[7])∧0=x51 ⇒ 1020_1_MAIN_INVOKEMETHOD(List(0), NULL, x2[16], NULL)≥NonInfC∧1020_1_MAIN_INVOKEMETHOD(List(0), NULL, x2[16], NULL)≥1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(NULL), NULL, x2[16], 0, NULL)∧(U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥))

(126)    (Cond_820_0_length_NULL(>(x53, -1), x53, java.lang.Object(List(x52)))=List(x0[7])∧0=x53 ⇒ 1020_1_MAIN_INVOKEMETHOD(List(0), java.lang.Object(List(x52)), x2[16], NULL)≥NonInfC∧1020_1_MAIN_INVOKEMETHOD(List(0), java.lang.Object(List(x52)), x2[16], NULL)≥1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(java.lang.Object(List(x52))), NULL, x2[16], 0, java.lang.Object(List(x52)))∧(U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥))

We simplified constraint (125) using rules (I), (II), (IV) which results in the following new constraint:
(127)    (1020_1_MAIN_INVOKEMETHOD(List(0), NULL, x2[16], NULL)≥NonInfC∧1020_1_MAIN_INVOKEMETHOD(List(0), NULL, x2[16], NULL)≥1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(NULL), NULL, x2[16], 0, NULL)∧(U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥))

We simplified constraint (126) using rules (III), (VII), (IDP_CONSTANT_FOLD) which results in the following new constraint:
(128)    (Cond_820_0_length_NULL(TRUE, 0, java.lang.Object(List(x52)))=List(x0[7]) ⇒ 1020_1_MAIN_INVOKEMETHOD(List(0), java.lang.Object(List(x52)), x2[16], NULL)≥NonInfC∧1020_1_MAIN_INVOKEMETHOD(List(0), java.lang.Object(List(x52)), x2[16], NULL)≥1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(java.lang.Object(List(x52))), NULL, x2[16], 0, java.lang.Object(List(x52)))∧(U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥))

We simplified constraint (127) using rule (POLY_CONSTRAINTS) which results in the following new constraint:
(129)    ((U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥)∧[bni_119] = 0∧[(-1)bso_120] ≥ 0)

We simplified constraint (124) using rule (V) (with possible (I) afterwards) using induction on 820_0_length_NULL(x47, x2[6])=List(x0[7]) which results in the following new constraints:
(130)    (List(x58)=List(x0[7])∧>(x50, -1)=x56∧java.lang.Object(List(x49))=x57∧Cond_820_0_length_NULL(x56, x50, x57)=List(x0[6])∧0=x50∧0=x58 ⇒ 1020_1_MAIN_INVOKEMETHOD(List(x0[6]), NULL, x2[16], java.lang.Object(List(x49)))≥NonInfC∧1020_1_MAIN_INVOKEMETHOD(List(x0[6]), NULL, x2[16], java.lang.Object(List(x49)))≥1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(NULL), java.lang.Object(List(x49)), x2[16], x0[6], NULL)∧(U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥))

(131)    (Cond_820_0_length_NULL(>(x60, -1), x60, java.lang.Object(List(x59)))=List(x0[7])∧>(x50, -1)=x56∧java.lang.Object(List(x49))=x57∧Cond_820_0_length_NULL(x56, x50, x57)=List(x0[6])∧0=x50∧0=x60 ⇒ 1020_1_MAIN_INVOKEMETHOD(List(x0[6]), java.lang.Object(List(x59)), x2[16], java.lang.Object(List(x49)))≥NonInfC∧1020_1_MAIN_INVOKEMETHOD(List(x0[6]), java.lang.Object(List(x59)), x2[16], java.lang.Object(List(x49)))≥1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(java.lang.Object(List(x59))), java.lang.Object(List(x49)), x2[16], x0[6], java.lang.Object(List(x59)))∧(U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥))

We simplified constraint (130) using rules (I), (II), (III), (IV), (IDP_CONSTANT_FOLD) which results in the following new constraint:
(132)    (Cond_820_0_length_NULL(TRUE, 0, java.lang.Object(List(x49)))=List(x0[6]) ⇒ 1020_1_MAIN_INVOKEMETHOD(List(x0[6]), NULL, x2[16], java.lang.Object(List(x49)))≥NonInfC∧1020_1_MAIN_INVOKEMETHOD(List(x0[6]), NULL, x2[16], java.lang.Object(List(x49)))≥1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(NULL), java.lang.Object(List(x49)), x2[16], x0[6], NULL)∧(U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥))

We simplified constraint (131) using rules (III), (VII), (IDP_CONSTANT_FOLD) which results in the following new constraint:
(133)    (Cond_820_0_length_NULL(TRUE, 0, java.lang.Object(List(x49)))=List(x0[6])∧Cond_820_0_length_NULL(TRUE, 0, java.lang.Object(List(x59)))=List(x0[7]) ⇒ 1020_1_MAIN_INVOKEMETHOD(List(x0[6]), java.lang.Object(List(x59)), x2[16], java.lang.Object(List(x49)))≥NonInfC∧1020_1_MAIN_INVOKEMETHOD(List(x0[6]), java.lang.Object(List(x59)), x2[16], java.lang.Object(List(x49)))≥1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(java.lang.Object(List(x59))), java.lang.Object(List(x49)), x2[16], x0[6], java.lang.Object(List(x59)))∧(U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥))

We simplified constraint (128) using rule (POLY_CONSTRAINTS) which results in the following new constraint:
(134)    ((U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥)∧0 ≥ 0∧[(-1)bso_120] ≥ 0)

We simplified constraint (132) using rule (POLY_CONSTRAINTS) which results in the following new constraint:
(135)    ((U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥)∧0 ≥ 0∧[(-1)bso_120] ≥ 0)

We simplified constraint (133) using rule (POLY_CONSTRAINTS) which results in the following new constraint:
(136)    ((U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥)∧0 ≥ 0∧[(-1)bso_120] ≥ 0)

We simplified constraint (129) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:
(137)    ((U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥)∧[bni_119] = 0∧[(-1)bso_120] ≥ 0)

We simplified constraint (135) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:
(138)    ((U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥)∧0 ≥ 0∧[(-1)bso_120] ≥ 0)

We simplified constraint (134) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:
(139)    ((U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥)∧0 ≥ 0∧[(-1)bso_120] ≥ 0)

We simplified constraint (136) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:
(140)    ((U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥)∧0 ≥ 0∧[(-1)bso_120] ≥ 0)

We simplified constraint (137) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:
(141)    ((U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥)∧[bni_119] = 0∧[(-1)bso_120] ≥ 0)

We simplified constraint (138) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:
(142)    ((U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥)∧0 ≥ 0∧[(-1)bso_120] ≥ 0)

We simplified constraint (139) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:
(143)    ((U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥)∧0 ≥ 0∧[(-1)bso_120] ≥ 0)

We simplified constraint (140) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:
(144)    ((U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥)∧0 ≥ 0∧[(-1)bso_120] ≥ 0)

We simplified constraint (141) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:
(145)    ((U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥)∧[bni_119] = 0∧0 ≥ 0∧[(-1)bso_120] ≥ 0)

We simplified constraint (142) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:
(146)    ((U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_120] ≥ 0)

We simplified constraint (143) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:
(147)    ((U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_120] ≥ 0)

We simplified constraint (144) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:
(148)    ((U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_120] ≥ 0)
We consider the chain COND_923_0_MAIN_NE(TRUE, x0[5], x1[5], x2[5], x3[5]) → 1020_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[5]), x1[5], x2[5], x0[5]), 1020_1_MAIN_INVOKEMETHOD(List(x0[6]), x2[6], x3[6], x1[6]) → 1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6]), 1050_1_MAIN_INVOKEMETHOD(List(x0[14]), java.lang.Object(List(x1[14])), x3[14], x4[14], x2[14]) → COND_1050_1_MAIN_INVOKEMETHOD1(>(x4[14], x0[14]), List(x0[14]), java.lang.Object(List(x1[14])), x3[14], x4[14], x2[14]) which results in the following constraint:
(149)    (346_0_length_ConstantStackPush(x0[5])=List(x0[6])∧x1[5]=x2[6]∧x2[5]=x3[6]∧x0[5]=x1[6]∧346_0_length_ConstantStackPush(x2[6])=List(x0[14])∧x1[6]=java.lang.Object(List(x1[14]))∧x3[6]=x3[14]∧x0[6]=x4[14]∧x2[6]=x2[14] ⇒ 1020_1_MAIN_INVOKEMETHOD(List(x0[6]), x2[6], x3[6], x1[6])≥NonInfC∧1020_1_MAIN_INVOKEMETHOD(List(x0[6]), x2[6], x3[6], x1[6])≥1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])∧(U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥))

We simplified constraint (149) using rules (III), (IV), (VII), (IDP_CONSTANT_FOLD), (REWRITING) which results in the following new constraint:
(150)    (0=x63∧820_0_length_NULL(x63, x2[6])=List(x0[14])∧1=x64∧820_0_length_NULL(x64, x1[14])=List(x0[6]) ⇒ 1020_1_MAIN_INVOKEMETHOD(List(x0[6]), x2[6], x2[5], java.lang.Object(List(x1[14])))≥NonInfC∧1020_1_MAIN_INVOKEMETHOD(List(x0[6]), x2[6], x2[5], java.lang.Object(List(x1[14])))≥1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), java.lang.Object(List(x1[14])), x2[5], x0[6], x2[6])∧(U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥))

We simplified constraint (150) using rule (V) (with possible (I) afterwards) using induction on 820_0_length_NULL(x63, x2[6])=List(x0[14]) which results in the following new constraints:
(151)    (List(x65)=List(x0[14])∧0=x65∧1=x64∧820_0_length_NULL(x64, x1[14])=List(x0[6]) ⇒ 1020_1_MAIN_INVOKEMETHOD(List(x0[6]), NULL, x2[5], java.lang.Object(List(x1[14])))≥NonInfC∧1020_1_MAIN_INVOKEMETHOD(List(x0[6]), NULL, x2[5], java.lang.Object(List(x1[14])))≥1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(NULL), java.lang.Object(List(x1[14])), x2[5], x0[6], NULL)∧(U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥))

(152)    (Cond_820_0_length_NULL(>(x67, -1), x67, java.lang.Object(List(x66)))=List(x0[14])∧0=x67∧1=x64∧820_0_length_NULL(x64, x1[14])=List(x0[6]) ⇒ 1020_1_MAIN_INVOKEMETHOD(List(x0[6]), java.lang.Object(List(x66)), x2[5], java.lang.Object(List(x1[14])))≥NonInfC∧1020_1_MAIN_INVOKEMETHOD(List(x0[6]), java.lang.Object(List(x66)), x2[5], java.lang.Object(List(x1[14])))≥1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(java.lang.Object(List(x66))), java.lang.Object(List(x1[14])), x2[5], x0[6], java.lang.Object(List(x66)))∧(U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥))

We simplified constraint (151) using rules (I), (II), (IV) which results in the following new constraint:
(153)    (1=x64∧820_0_length_NULL(x64, x1[14])=List(x0[6]) ⇒ 1020_1_MAIN_INVOKEMETHOD(List(x0[6]), NULL, x2[5], java.lang.Object(List(x1[14])))≥NonInfC∧1020_1_MAIN_INVOKEMETHOD(List(x0[6]), NULL, x2[5], java.lang.Object(List(x1[14])))≥1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(NULL), java.lang.Object(List(x1[14])), x2[5], x0[6], NULL)∧(U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥))

We simplified constraint (152) using rule (VII) which results in the following new constraint:
(154)    (>(x67, -1)=x73∧java.lang.Object(List(x66))=x74∧Cond_820_0_length_NULL(x73, x67, x74)=List(x0[14])∧0=x67∧1=x64∧820_0_length_NULL(x64, x1[14])=List(x0[6]) ⇒ 1020_1_MAIN_INVOKEMETHOD(List(x0[6]), java.lang.Object(List(x66)), x2[5], java.lang.Object(List(x1[14])))≥NonInfC∧1020_1_MAIN_INVOKEMETHOD(List(x0[6]), java.lang.Object(List(x66)), x2[5], java.lang.Object(List(x1[14])))≥1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(java.lang.Object(List(x66))), java.lang.Object(List(x1[14])), x2[5], x0[6], java.lang.Object(List(x66)))∧(U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥))

We simplified constraint (153) using rule (V) (with possible (I) afterwards) using induction on 820_0_length_NULL(x64, x1[14])=List(x0[6]) which results in the following new constraints:
(155)    (List(x68)=List(x0[6])∧1=x68 ⇒ 1020_1_MAIN_INVOKEMETHOD(List(x0[6]), NULL, x2[5], java.lang.Object(List(NULL)))≥NonInfC∧1020_1_MAIN_INVOKEMETHOD(List(x0[6]), NULL, x2[5], java.lang.Object(List(NULL)))≥1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(NULL), java.lang.Object(List(NULL)), x2[5], x0[6], NULL)∧(U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥))

(156)    (Cond_820_0_length_NULL(>(x70, -1), x70, java.lang.Object(List(x69)))=List(x0[6])∧1=x70 ⇒ 1020_1_MAIN_INVOKEMETHOD(List(x0[6]), NULL, x2[5], java.lang.Object(List(java.lang.Object(List(x69)))))≥NonInfC∧1020_1_MAIN_INVOKEMETHOD(List(x0[6]), NULL, x2[5], java.lang.Object(List(java.lang.Object(List(x69)))))≥1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(NULL), java.lang.Object(List(java.lang.Object(List(x69)))), x2[5], x0[6], NULL)∧(U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥))

We simplified constraint (155) using rules (I), (II), (III) which results in the following new constraint:
(157)    (1020_1_MAIN_INVOKEMETHOD(List(1), NULL, x2[5], java.lang.Object(List(NULL)))≥NonInfC∧1020_1_MAIN_INVOKEMETHOD(List(1), NULL, x2[5], java.lang.Object(List(NULL)))≥1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(NULL), java.lang.Object(List(NULL)), x2[5], 1, NULL)∧(U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥))

We simplified constraint (156) using rules (III), (VII), (IDP_CONSTANT_FOLD) which results in the following new constraint:
(158)    (Cond_820_0_length_NULL(TRUE, 1, java.lang.Object(List(x69)))=List(x0[6]) ⇒ 1020_1_MAIN_INVOKEMETHOD(List(x0[6]), NULL, x2[5], java.lang.Object(List(java.lang.Object(List(x69)))))≥NonInfC∧1020_1_MAIN_INVOKEMETHOD(List(x0[6]), NULL, x2[5], java.lang.Object(List(java.lang.Object(List(x69)))))≥1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(NULL), java.lang.Object(List(java.lang.Object(List(x69)))), x2[5], x0[6], NULL)∧(U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥))

We simplified constraint (157) using rule (POLY_CONSTRAINTS) which results in the following new constraint:
(159)    ((U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥)∧[bni_119] = 0∧[(-1)bso_120] ≥ 0)

We simplified constraint (154) using rule (V) (with possible (I) afterwards) using induction on 820_0_length_NULL(x64, x1[14])=List(x0[6]) which results in the following new constraints:
(160)    (List(x75)=List(x0[6])∧>(x67, -1)=x73∧java.lang.Object(List(x66))=x74∧Cond_820_0_length_NULL(x73, x67, x74)=List(x0[14])∧0=x67∧1=x75 ⇒ 1020_1_MAIN_INVOKEMETHOD(List(x0[6]), java.lang.Object(List(x66)), x2[5], java.lang.Object(List(NULL)))≥NonInfC∧1020_1_MAIN_INVOKEMETHOD(List(x0[6]), java.lang.Object(List(x66)), x2[5], java.lang.Object(List(NULL)))≥1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(java.lang.Object(List(x66))), java.lang.Object(List(NULL)), x2[5], x0[6], java.lang.Object(List(x66)))∧(U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥))

(161)    (Cond_820_0_length_NULL(>(x77, -1), x77, java.lang.Object(List(x76)))=List(x0[6])∧>(x67, -1)=x73∧java.lang.Object(List(x66))=x74∧Cond_820_0_length_NULL(x73, x67, x74)=List(x0[14])∧0=x67∧1=x77 ⇒ 1020_1_MAIN_INVOKEMETHOD(List(x0[6]), java.lang.Object(List(x66)), x2[5], java.lang.Object(List(java.lang.Object(List(x76)))))≥NonInfC∧1020_1_MAIN_INVOKEMETHOD(List(x0[6]), java.lang.Object(List(x66)), x2[5], java.lang.Object(List(java.lang.Object(List(x76)))))≥1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(java.lang.Object(List(x66))), java.lang.Object(List(java.lang.Object(List(x76)))), x2[5], x0[6], java.lang.Object(List(x66)))∧(U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥))

We simplified constraint (160) using rules (I), (II), (III), (IDP_CONSTANT_FOLD) which results in the following new constraint:
(162)    (Cond_820_0_length_NULL(TRUE, 0, java.lang.Object(List(x66)))=List(x0[14]) ⇒ 1020_1_MAIN_INVOKEMETHOD(List(1), java.lang.Object(List(x66)), x2[5], java.lang.Object(List(NULL)))≥NonInfC∧1020_1_MAIN_INVOKEMETHOD(List(1), java.lang.Object(List(x66)), x2[5], java.lang.Object(List(NULL)))≥1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(java.lang.Object(List(x66))), java.lang.Object(List(NULL)), x2[5], 1, java.lang.Object(List(x66)))∧(U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥))

We simplified constraint (161) using rules (III), (VII), (IDP_CONSTANT_FOLD) which results in the following new constraint:
(163)    (Cond_820_0_length_NULL(TRUE, 0, java.lang.Object(List(x66)))=List(x0[14])∧Cond_820_0_length_NULL(TRUE, 1, java.lang.Object(List(x76)))=List(x0[6]) ⇒ 1020_1_MAIN_INVOKEMETHOD(List(x0[6]), java.lang.Object(List(x66)), x2[5], java.lang.Object(List(java.lang.Object(List(x76)))))≥NonInfC∧1020_1_MAIN_INVOKEMETHOD(List(x0[6]), java.lang.Object(List(x66)), x2[5], java.lang.Object(List(java.lang.Object(List(x76)))))≥1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(java.lang.Object(List(x66))), java.lang.Object(List(java.lang.Object(List(x76)))), x2[5], x0[6], java.lang.Object(List(x66)))∧(U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥))

We simplified constraint (158) using rule (POLY_CONSTRAINTS) which results in the following new constraint:
(164)    ((U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥)∧0 ≥ 0∧[(-1)bso_120] ≥ 0)

We simplified constraint (162) using rule (POLY_CONSTRAINTS) which results in the following new constraint:
(165)    ((U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥)∧0 ≥ 0∧[(-1)bso_120] ≥ 0)

We simplified constraint (163) using rule (POLY_CONSTRAINTS) which results in the following new constraint:
(166)    ((U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥)∧0 ≥ 0∧[(-1)bso_120] ≥ 0)

We simplified constraint (159) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:
(167)    ((U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥)∧[bni_119] = 0∧[(-1)bso_120] ≥ 0)

We simplified constraint (165) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:
(168)    ((U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥)∧0 ≥ 0∧[(-1)bso_120] ≥ 0)

We simplified constraint (164) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:
(169)    ((U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥)∧0 ≥ 0∧[(-1)bso_120] ≥ 0)

We simplified constraint (166) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:
(170)    ((U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥)∧0 ≥ 0∧[(-1)bso_120] ≥ 0)

We simplified constraint (167) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:
(171)    ((U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥)∧[bni_119] = 0∧[(-1)bso_120] ≥ 0)

We simplified constraint (168) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:
(172)    ((U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥)∧0 ≥ 0∧[(-1)bso_120] ≥ 0)

We simplified constraint (169) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:
(173)    ((U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥)∧0 ≥ 0∧[(-1)bso_120] ≥ 0)

We simplified constraint (170) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:
(174)    ((U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥)∧0 ≥ 0∧[(-1)bso_120] ≥ 0)

We simplified constraint (171) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:
(175)    ((U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥)∧[bni_119] = 0∧0 ≥ 0∧[(-1)bso_120] ≥ 0)

We simplified constraint (172) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:
(176)    ((U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_120] ≥ 0)

We simplified constraint (173) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:
(177)    ((U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_120] ≥ 0)

We simplified constraint (174) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:
(178)    ((U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_120] ≥ 0)
We consider the chain 923_0_MAIN_NE(x0[16], x1[16], java.lang.Object(List(x2[16])), 0) → 1020_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[16]), x1[16], x2[16], x0[16]), 1020_1_MAIN_INVOKEMETHOD(List(x0[6]), x2[6], x3[6], x1[6]) → 1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6]), 1050_1_MAIN_INVOKEMETHOD(List(x0[14]), java.lang.Object(List(x1[14])), x3[14], x4[14], x2[14]) → COND_1050_1_MAIN_INVOKEMETHOD1(>(x4[14], x0[14]), List(x0[14]), java.lang.Object(List(x1[14])), x3[14], x4[14], x2[14]) which results in the following constraint:
(179)    (346_0_length_ConstantStackPush(x0[16])=List(x0[6])∧x1[16]=x2[6]∧x2[16]=x3[6]∧x0[16]=x1[6]∧346_0_length_ConstantStackPush(x2[6])=List(x0[14])∧x1[6]=java.lang.Object(List(x1[14]))∧x3[6]=x3[14]∧x0[6]=x4[14]∧x2[6]=x2[14] ⇒ 1020_1_MAIN_INVOKEMETHOD(List(x0[6]), x2[6], x3[6], x1[6])≥NonInfC∧1020_1_MAIN_INVOKEMETHOD(List(x0[6]), x2[6], x3[6], x1[6])≥1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])∧(U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥))

We simplified constraint (179) using rules (III), (IV), (VII), (IDP_CONSTANT_FOLD), (REWRITING) which results in the following new constraint:
(180)    (0=x80∧820_0_length_NULL(x80, x2[6])=List(x0[14])∧1=x81∧820_0_length_NULL(x81, x1[14])=List(x0[6]) ⇒ 1020_1_MAIN_INVOKEMETHOD(List(x0[6]), x2[6], x2[16], java.lang.Object(List(x1[14])))≥NonInfC∧1020_1_MAIN_INVOKEMETHOD(List(x0[6]), x2[6], x2[16], java.lang.Object(List(x1[14])))≥1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), java.lang.Object(List(x1[14])), x2[16], x0[6], x2[6])∧(U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥))

We simplified constraint (180) using rule (V) (with possible (I) afterwards) using induction on 820_0_length_NULL(x80, x2[6])=List(x0[14]) which results in the following new constraints:
(181)    (List(x82)=List(x0[14])∧0=x82∧1=x81∧820_0_length_NULL(x81, x1[14])=List(x0[6]) ⇒ 1020_1_MAIN_INVOKEMETHOD(List(x0[6]), NULL, x2[16], java.lang.Object(List(x1[14])))≥NonInfC∧1020_1_MAIN_INVOKEMETHOD(List(x0[6]), NULL, x2[16], java.lang.Object(List(x1[14])))≥1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(NULL), java.lang.Object(List(x1[14])), x2[16], x0[6], NULL)∧(U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥))

(182)    (Cond_820_0_length_NULL(>(x84, -1), x84, java.lang.Object(List(x83)))=List(x0[14])∧0=x84∧1=x81∧820_0_length_NULL(x81, x1[14])=List(x0[6]) ⇒ 1020_1_MAIN_INVOKEMETHOD(List(x0[6]), java.lang.Object(List(x83)), x2[16], java.lang.Object(List(x1[14])))≥NonInfC∧1020_1_MAIN_INVOKEMETHOD(List(x0[6]), java.lang.Object(List(x83)), x2[16], java.lang.Object(List(x1[14])))≥1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(java.lang.Object(List(x83))), java.lang.Object(List(x1[14])), x2[16], x0[6], java.lang.Object(List(x83)))∧(U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥))

We simplified constraint (181) using rules (I), (II), (IV) which results in the following new constraint:
(183)    (1=x81∧820_0_length_NULL(x81, x1[14])=List(x0[6]) ⇒ 1020_1_MAIN_INVOKEMETHOD(List(x0[6]), NULL, x2[16], java.lang.Object(List(x1[14])))≥NonInfC∧1020_1_MAIN_INVOKEMETHOD(List(x0[6]), NULL, x2[16], java.lang.Object(List(x1[14])))≥1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(NULL), java.lang.Object(List(x1[14])), x2[16], x0[6], NULL)∧(U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥))

We simplified constraint (182) using rule (VII) which results in the following new constraint:
(184)    (>(x84, -1)=x90∧java.lang.Object(List(x83))=x91∧Cond_820_0_length_NULL(x90, x84, x91)=List(x0[14])∧0=x84∧1=x81∧820_0_length_NULL(x81, x1[14])=List(x0[6]) ⇒ 1020_1_MAIN_INVOKEMETHOD(List(x0[6]), java.lang.Object(List(x83)), x2[16], java.lang.Object(List(x1[14])))≥NonInfC∧1020_1_MAIN_INVOKEMETHOD(List(x0[6]), java.lang.Object(List(x83)), x2[16], java.lang.Object(List(x1[14])))≥1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(java.lang.Object(List(x83))), java.lang.Object(List(x1[14])), x2[16], x0[6], java.lang.Object(List(x83)))∧(U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥))

We simplified constraint (183) using rule (V) (with possible (I) afterwards) using induction on 820_0_length_NULL(x81, x1[14])=List(x0[6]) which results in the following new constraints:
(185)    (List(x85)=List(x0[6])∧1=x85 ⇒ 1020_1_MAIN_INVOKEMETHOD(List(x0[6]), NULL, x2[16], java.lang.Object(List(NULL)))≥NonInfC∧1020_1_MAIN_INVOKEMETHOD(List(x0[6]), NULL, x2[16], java.lang.Object(List(NULL)))≥1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(NULL), java.lang.Object(List(NULL)), x2[16], x0[6], NULL)∧(U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥))

(186)    (Cond_820_0_length_NULL(>(x87, -1), x87, java.lang.Object(List(x86)))=List(x0[6])∧1=x87 ⇒ 1020_1_MAIN_INVOKEMETHOD(List(x0[6]), NULL, x2[16], java.lang.Object(List(java.lang.Object(List(x86)))))≥NonInfC∧1020_1_MAIN_INVOKEMETHOD(List(x0[6]), NULL, x2[16], java.lang.Object(List(java.lang.Object(List(x86)))))≥1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(NULL), java.lang.Object(List(java.lang.Object(List(x86)))), x2[16], x0[6], NULL)∧(U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥))

We simplified constraint (185) using rules (I), (II), (III) which results in the following new constraint:
(187)    (1020_1_MAIN_INVOKEMETHOD(List(1), NULL, x2[16], java.lang.Object(List(NULL)))≥NonInfC∧1020_1_MAIN_INVOKEMETHOD(List(1), NULL, x2[16], java.lang.Object(List(NULL)))≥1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(NULL), java.lang.Object(List(NULL)), x2[16], 1, NULL)∧(U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥))

We simplified constraint (186) using rules (III), (VII), (IDP_CONSTANT_FOLD) which results in the following new constraint:
(188)    (Cond_820_0_length_NULL(TRUE, 1, java.lang.Object(List(x86)))=List(x0[6]) ⇒ 1020_1_MAIN_INVOKEMETHOD(List(x0[6]), NULL, x2[16], java.lang.Object(List(java.lang.Object(List(x86)))))≥NonInfC∧1020_1_MAIN_INVOKEMETHOD(List(x0[6]), NULL, x2[16], java.lang.Object(List(java.lang.Object(List(x86)))))≥1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(NULL), java.lang.Object(List(java.lang.Object(List(x86)))), x2[16], x0[6], NULL)∧(U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥))

We simplified constraint (187) using rule (POLY_CONSTRAINTS) which results in the following new constraint:
(189)    ((U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥)∧[bni_119] = 0∧[(-1)bso_120] ≥ 0)

We simplified constraint (184) using rule (V) (with possible (I) afterwards) using induction on 820_0_length_NULL(x81, x1[14])=List(x0[6]) which results in the following new constraints:
(190)    (List(x92)=List(x0[6])∧>(x84, -1)=x90∧java.lang.Object(List(x83))=x91∧Cond_820_0_length_NULL(x90, x84, x91)=List(x0[14])∧0=x84∧1=x92 ⇒ 1020_1_MAIN_INVOKEMETHOD(List(x0[6]), java.lang.Object(List(x83)), x2[16], java.lang.Object(List(NULL)))≥NonInfC∧1020_1_MAIN_INVOKEMETHOD(List(x0[6]), java.lang.Object(List(x83)), x2[16], java.lang.Object(List(NULL)))≥1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(java.lang.Object(List(x83))), java.lang.Object(List(NULL)), x2[16], x0[6], java.lang.Object(List(x83)))∧(U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥))

(191)    (Cond_820_0_length_NULL(>(x94, -1), x94, java.lang.Object(List(x93)))=List(x0[6])∧>(x84, -1)=x90∧java.lang.Object(List(x83))=x91∧Cond_820_0_length_NULL(x90, x84, x91)=List(x0[14])∧0=x84∧1=x94 ⇒ 1020_1_MAIN_INVOKEMETHOD(List(x0[6]), java.lang.Object(List(x83)), x2[16], java.lang.Object(List(java.lang.Object(List(x93)))))≥NonInfC∧1020_1_MAIN_INVOKEMETHOD(List(x0[6]), java.lang.Object(List(x83)), x2[16], java.lang.Object(List(java.lang.Object(List(x93)))))≥1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(java.lang.Object(List(x83))), java.lang.Object(List(java.lang.Object(List(x93)))), x2[16], x0[6], java.lang.Object(List(x83)))∧(U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥))

We simplified constraint (190) using rules (I), (II), (III), (IDP_CONSTANT_FOLD) which results in the following new constraint:
(192)    (Cond_820_0_length_NULL(TRUE, 0, java.lang.Object(List(x83)))=List(x0[14]) ⇒ 1020_1_MAIN_INVOKEMETHOD(List(1), java.lang.Object(List(x83)), x2[16], java.lang.Object(List(NULL)))≥NonInfC∧1020_1_MAIN_INVOKEMETHOD(List(1), java.lang.Object(List(x83)), x2[16], java.lang.Object(List(NULL)))≥1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(java.lang.Object(List(x83))), java.lang.Object(List(NULL)), x2[16], 1, java.lang.Object(List(x83)))∧(U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥))

We simplified constraint (191) using rules (III), (VII), (IDP_CONSTANT_FOLD) which results in the following new constraint:
(193)    (Cond_820_0_length_NULL(TRUE, 0, java.lang.Object(List(x83)))=List(x0[14])∧Cond_820_0_length_NULL(TRUE, 1, java.lang.Object(List(x93)))=List(x0[6]) ⇒ 1020_1_MAIN_INVOKEMETHOD(List(x0[6]), java.lang.Object(List(x83)), x2[16], java.lang.Object(List(java.lang.Object(List(x93)))))≥NonInfC∧1020_1_MAIN_INVOKEMETHOD(List(x0[6]), java.lang.Object(List(x83)), x2[16], java.lang.Object(List(java.lang.Object(List(x93)))))≥1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(java.lang.Object(List(x83))), java.lang.Object(List(java.lang.Object(List(x93)))), x2[16], x0[6], java.lang.Object(List(x83)))∧(U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥))

We simplified constraint (188) using rule (POLY_CONSTRAINTS) which results in the following new constraint:
(194)    ((U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥)∧0 ≥ 0∧[(-1)bso_120] ≥ 0)

We simplified constraint (192) using rule (POLY_CONSTRAINTS) which results in the following new constraint:
(195)    ((U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥)∧0 ≥ 0∧[(-1)bso_120] ≥ 0)

We simplified constraint (193) using rule (POLY_CONSTRAINTS) which results in the following new constraint:
(196)    ((U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥)∧0 ≥ 0∧[(-1)bso_120] ≥ 0)

We simplified constraint (189) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:
(197)    ((U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥)∧[bni_119] = 0∧[(-1)bso_120] ≥ 0)

We simplified constraint (195) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:
(198)    ((U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥)∧0 ≥ 0∧[(-1)bso_120] ≥ 0)

We simplified constraint (194) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:
(199)    ((U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥)∧0 ≥ 0∧[(-1)bso_120] ≥ 0)

We simplified constraint (196) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:
(200)    ((U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥)∧0 ≥ 0∧[(-1)bso_120] ≥ 0)

We simplified constraint (197) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:
(201)    ((U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥)∧[bni_119] = 0∧[(-1)bso_120] ≥ 0)

We simplified constraint (198) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:
(202)    ((U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥)∧0 ≥ 0∧[(-1)bso_120] ≥ 0)

We simplified constraint (199) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:
(203)    ((U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥)∧0 ≥ 0∧[(-1)bso_120] ≥ 0)

We simplified constraint (200) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:
(204)    ((U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥)∧0 ≥ 0∧[(-1)bso_120] ≥ 0)

We simplified constraint (201) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:
(205)    ((U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥)∧[bni_119] = 0∧0 ≥ 0∧[(-1)bso_120] ≥ 0)

We simplified constraint (202) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:
(206)    ((U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_120] ≥ 0)

We simplified constraint (203) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:
(207)    ((U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_120] ≥ 0)

We simplified constraint (204) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:
(208)    ((U^Increasing(1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_120] ≥ 0)

For Pair 1050_1_MAIN_INVOKEMETHOD(List(x0), x1, x3, x4, x2) → COND_1050_1_MAIN_INVOKEMETHOD(<=(x4, x0), List(x0), x1, x3, x4, x2) the following chains were created:

We consider the chain 1050_1_MAIN_INVOKEMETHOD(List(x0[7]), x1[7], x3[7], x4[7], x2[7]) → COND_1050_1_MAIN_INVOKEMETHOD(<=(x4[7], x0[7]), List(x0[7]), x1[7], x3[7], x4[7], x2[7]), COND_1050_1_MAIN_INVOKEMETHOD(TRUE, List(x0[8]), x1[8], x3[8], x4[8], x2[8]) → 1090_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x1[8]), x2[8], x3[8], x1[8]) which results in the following constraint:
(209)    (<=(x4[7], x0[7])=TRUE∧List(x0[7])=List(x0[8])∧x1[7]=x1[8]∧x3[7]=x3[8]∧x4[7]=x4[8]∧x2[7]=x2[8] ⇒ 1050_1_MAIN_INVOKEMETHOD(List(x0[7]), x1[7], x3[7], x4[7], x2[7])≥NonInfC∧1050_1_MAIN_INVOKEMETHOD(List(x0[7]), x1[7], x3[7], x4[7], x2[7])≥COND_1050_1_MAIN_INVOKEMETHOD(<=(x4[7], x0[7]), List(x0[7]), x1[7], x3[7], x4[7], x2[7])∧(U^Increasing(COND_1050_1_MAIN_INVOKEMETHOD(<=(x4[7], x0[7]), List(x0[7]), x1[7], x3[7], x4[7], x2[7])), ≥))

We simplified constraint (209) using rules (I), (II), (IV) which results in the following new constraint:
(210)    (<=(x4[7], x0[7])=TRUE ⇒ 1050_1_MAIN_INVOKEMETHOD(List(x0[7]), x1[7], x3[7], x4[7], x2[7])≥NonInfC∧1050_1_MAIN_INVOKEMETHOD(List(x0[7]), x1[7], x3[7], x4[7], x2[7])≥COND_1050_1_MAIN_INVOKEMETHOD(<=(x4[7], x0[7]), List(x0[7]), x1[7], x3[7], x4[7], x2[7])∧(U^Increasing(COND_1050_1_MAIN_INVOKEMETHOD(<=(x4[7], x0[7]), List(x0[7]), x1[7], x3[7], x4[7], x2[7])), ≥))

We simplified constraint (210) using rule (POLY_CONSTRAINTS) which results in the following new constraint:
(211)    (0 ≥ 0 ⇒ (U^Increasing(COND_1050_1_MAIN_INVOKEMETHOD(<=(x4[7], x0[7]), List(x0[7]), x1[7], x3[7], x4[7], x2[7])), ≥)∧[(-1)bni_121 + (-1)Bound*bni_121] ≥ 0∧[(-1)bso_122] ≥ 0)

We simplified constraint (211) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:
(212)    (0 ≥ 0 ⇒ (U^Increasing(COND_1050_1_MAIN_INVOKEMETHOD(<=(x4[7], x0[7]), List(x0[7]), x1[7], x3[7], x4[7], x2[7])), ≥)∧[(-1)bni_121 + (-1)Bound*bni_121] ≥ 0∧[(-1)bso_122] ≥ 0)

We simplified constraint (212) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:
(213)    (0 ≥ 0 ⇒ (U^Increasing(COND_1050_1_MAIN_INVOKEMETHOD(<=(x4[7], x0[7]), List(x0[7]), x1[7], x3[7], x4[7], x2[7])), ≥)∧[(-1)bni_121 + (-1)Bound*bni_121] ≥ 0∧[(-1)bso_122] ≥ 0)

We simplified constraint (213) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:
(214)    (0 ≥ 0 ⇒ (U^Increasing(COND_1050_1_MAIN_INVOKEMETHOD(<=(x4[7], x0[7]), List(x0[7]), x1[7], x3[7], x4[7], x2[7])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bni_121 + (-1)Bound*bni_121] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_122] ≥ 0)

For Pair COND_1050_1_MAIN_INVOKEMETHOD(TRUE, List(x0), x1, x3, x4, x2) → 1090_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x1), x2, x3, x1) the following chains were created:

We consider the chain 1050_1_MAIN_INVOKEMETHOD(List(x0[7]), x1[7], x3[7], x4[7], x2[7]) → COND_1050_1_MAIN_INVOKEMETHOD(<=(x4[7], x0[7]), List(x0[7]), x1[7], x3[7], x4[7], x2[7]), COND_1050_1_MAIN_INVOKEMETHOD(TRUE, List(x0[8]), x1[8], x3[8], x4[8], x2[8]) → 1090_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x1[8]), x2[8], x3[8], x1[8]), 1090_1_MAIN_INVOKEMETHOD(List(x0[9]), x2[9], x3[9], x1[9]) → 1113_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[9]), x1[9], x3[9], x0[9], x2[9]) which results in the following constraint:
(215)    (<=(x4[7], x0[7])=TRUE∧List(x0[7])=List(x0[8])∧x1[7]=x1[8]∧x3[7]=x3[8]∧x4[7]=x4[8]∧x2[7]=x2[8]∧346_0_length_ConstantStackPush(x1[8])=List(x0[9])∧x2[8]=x2[9]∧x3[8]=x3[9]∧x1[8]=x1[9] ⇒ COND_1050_1_MAIN_INVOKEMETHOD(TRUE, List(x0[8]), x1[8], x3[8], x4[8], x2[8])≥NonInfC∧COND_1050_1_MAIN_INVOKEMETHOD(TRUE, List(x0[8]), x1[8], x3[8], x4[8], x2[8])≥1090_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x1[8]), x2[8], x3[8], x1[8])∧(U^Increasing(1090_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x1[8]), x2[8], x3[8], x1[8])), ≥))

We simplified constraint (215) using rules (I), (II), (III), (IV), (VII), (REWRITING) which results in the following new constraint:
(216)    (<=(x4[7], x0[7])=TRUE∧0=x97∧820_0_length_NULL(x97, x1[8])=List(x0[9]) ⇒ COND_1050_1_MAIN_INVOKEMETHOD(TRUE, List(x0[7]), x1[8], x3[7], x4[7], x2[7])≥NonInfC∧COND_1050_1_MAIN_INVOKEMETHOD(TRUE, List(x0[7]), x1[8], x3[7], x4[7], x2[7])≥1090_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x1[8]), x2[7], x3[7], x1[8])∧(U^Increasing(1090_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x1[8]), x2[8], x3[8], x1[8])), ≥))

We simplified constraint (216) using rule (V) (with possible (I) afterwards) using induction on 820_0_length_NULL(x97, x1[8])=List(x0[9]) which results in the following new constraints:
(217)    (List(x98)=List(x0[9])∧<=(x4[7], x0[7])=TRUE∧0=x98 ⇒ COND_1050_1_MAIN_INVOKEMETHOD(TRUE, List(x0[7]), NULL, x3[7], x4[7], x2[7])≥NonInfC∧COND_1050_1_MAIN_INVOKEMETHOD(TRUE, List(x0[7]), NULL, x3[7], x4[7], x2[7])≥1090_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(NULL), x2[7], x3[7], NULL)∧(U^Increasing(1090_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x1[8]), x2[8], x3[8], x1[8])), ≥))

(218)    (Cond_820_0_length_NULL(>(x100, -1), x100, java.lang.Object(List(x99)))=List(x0[9])∧<=(x4[7], x0[7])=TRUE∧0=x100 ⇒ COND_1050_1_MAIN_INVOKEMETHOD(TRUE, List(x0[7]), java.lang.Object(List(x99)), x3[7], x4[7], x2[7])≥NonInfC∧COND_1050_1_MAIN_INVOKEMETHOD(TRUE, List(x0[7]), java.lang.Object(List(x99)), x3[7], x4[7], x2[7])≥1090_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(java.lang.Object(List(x99))), x2[7], x3[7], java.lang.Object(List(x99)))∧(U^Increasing(1090_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x1[8]), x2[8], x3[8], x1[8])), ≥))

We simplified constraint (217) using rules (I), (II), (IV) which results in the following new constraint:
(219)    (<=(x4[7], x0[7])=TRUE ⇒ COND_1050_1_MAIN_INVOKEMETHOD(TRUE, List(x0[7]), NULL, x3[7], x4[7], x2[7])≥NonInfC∧COND_1050_1_MAIN_INVOKEMETHOD(TRUE, List(x0[7]), NULL, x3[7], x4[7], x2[7])≥1090_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(NULL), x2[7], x3[7], NULL)∧(U^Increasing(1090_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x1[8]), x2[8], x3[8], x1[8])), ≥))

We simplified constraint (218) using rules (III), (VII), (IDP_CONSTANT_FOLD) which results in the following new constraint:
(220)    (<=(x4[7], x0[7])=TRUE∧Cond_820_0_length_NULL(TRUE, 0, java.lang.Object(List(x99)))=List(x0[9]) ⇒ COND_1050_1_MAIN_INVOKEMETHOD(TRUE, List(x0[7]), java.lang.Object(List(x99)), x3[7], x4[7], x2[7])≥NonInfC∧COND_1050_1_MAIN_INVOKEMETHOD(TRUE, List(x0[7]), java.lang.Object(List(x99)), x3[7], x4[7], x2[7])≥1090_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(java.lang.Object(List(x99))), x2[7], x3[7], java.lang.Object(List(x99)))∧(U^Increasing(1090_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x1[8]), x2[8], x3[8], x1[8])), ≥))

We simplified constraint (219) using rule (POLY_CONSTRAINTS) which results in the following new constraint:
(221)    (0 ≥ 0 ⇒ (U^Increasing(1090_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x1[8]), x2[8], x3[8], x1[8])), ≥)∧[(-1)bni_123 + (-1)Bound*bni_123] ≥ 0∧[(-1)bso_124] ≥ 0)

We simplified constraint (220) using rule (POLY_CONSTRAINTS) which results in the following new constraint:
(222)    (0 ≥ 0 ⇒ (U^Increasing(1090_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x1[8]), x2[8], x3[8], x1[8])), ≥)∧[(-1)bni_123 + (-1)Bound*bni_123] ≥ 0∧[(-1)bso_124] ≥ 0)

We simplified constraint (221) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:
(223)    (0 ≥ 0 ⇒ (U^Increasing(1090_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x1[8]), x2[8], x3[8], x1[8])), ≥)∧[(-1)bni_123 + (-1)Bound*bni_123] ≥ 0∧[(-1)bso_124] ≥ 0)

We simplified constraint (222) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:
(224)    (0 ≥ 0 ⇒ (U^Increasing(1090_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x1[8]), x2[8], x3[8], x1[8])), ≥)∧[(-1)bni_123 + (-1)Bound*bni_123] ≥ 0∧[(-1)bso_124] ≥ 0)

We simplified constraint (223) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:
(225)    (0 ≥ 0 ⇒ (U^Increasing(1090_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x1[8]), x2[8], x3[8], x1[8])), ≥)∧[(-1)bni_123 + (-1)Bound*bni_123] ≥ 0∧[(-1)bso_124] ≥ 0)

We simplified constraint (224) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:
(226)    (0 ≥ 0 ⇒ (U^Increasing(1090_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x1[8]), x2[8], x3[8], x1[8])), ≥)∧[(-1)bni_123 + (-1)Bound*bni_123] ≥ 0∧[(-1)bso_124] ≥ 0)

We simplified constraint (225) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:
(227)    (0 ≥ 0 ⇒ (U^Increasing(1090_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x1[8]), x2[8], x3[8], x1[8])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bni_123 + (-1)Bound*bni_123] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_124] ≥ 0)

We simplified constraint (226) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:
(228)    (0 ≥ 0 ⇒ (U^Increasing(1090_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x1[8]), x2[8], x3[8], x1[8])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bni_123 + (-1)Bound*bni_123] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_124] ≥ 0)

For Pair 1090_1_MAIN_INVOKEMETHOD(List(x0), x2, x3, x1) → 1113_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2), x1, x3, x0, x2) the following chains were created:

We consider the chain COND_1050_1_MAIN_INVOKEMETHOD(TRUE, List(x0[8]), x1[8], x3[8], x4[8], x2[8]) → 1090_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x1[8]), x2[8], x3[8], x1[8]), 1090_1_MAIN_INVOKEMETHOD(List(x0[9]), x2[9], x3[9], x1[9]) → 1113_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[9]), x1[9], x3[9], x0[9], x2[9]), 1113_1_MAIN_INVOKEMETHOD(List(x0[10]), x1[10], java.lang.Object(List(x3[10])), x4[10], x2[10]) → COND_1113_1_MAIN_INVOKEMETHOD(!(=(x4[10], x0[10])), List(x0[10]), x1[10], java.lang.Object(List(x3[10])), x4[10], x2[10]) which results in the following constraint:
(229)    (346_0_length_ConstantStackPush(x1[8])=List(x0[9])∧x2[8]=x2[9]∧x3[8]=x3[9]∧x1[8]=x1[9]∧346_0_length_ConstantStackPush(x2[9])=List(x0[10])∧x1[9]=x1[10]∧x3[9]=java.lang.Object(List(x3[10]))∧x0[9]=x4[10]∧x2[9]=x2[10] ⇒ 1090_1_MAIN_INVOKEMETHOD(List(x0[9]), x2[9], x3[9], x1[9])≥NonInfC∧1090_1_MAIN_INVOKEMETHOD(List(x0[9]), x2[9], x3[9], x1[9])≥1113_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[9]), x1[9], x3[9], x0[9], x2[9])∧(U^Increasing(1113_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[9]), x1[9], x3[9], x0[9], x2[9])), ≥))

We simplified constraint (229) using rules (III), (IV), (VII), (REWRITING) which results in the following new constraint:
(230)    (0=x103∧820_0_length_NULL(x103, x1[8])=List(x0[9])∧0=x104∧820_0_length_NULL(x104, x2[9])=List(x0[10]) ⇒ 1090_1_MAIN_INVOKEMETHOD(List(x0[9]), x2[9], java.lang.Object(List(x3[10])), x1[8])≥NonInfC∧1090_1_MAIN_INVOKEMETHOD(List(x0[9]), x2[9], java.lang.Object(List(x3[10])), x1[8])≥1113_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[9]), x1[8], java.lang.Object(List(x3[10])), x0[9], x2[9])∧(U^Increasing(1113_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[9]), x1[9], x3[9], x0[9], x2[9])), ≥))

We simplified constraint (230) using rule (V) (with possible (I) afterwards) using induction on 820_0_length_NULL(x103, x1[8])=List(x0[9]) which results in the following new constraints:
(231)    (List(x105)=List(x0[9])∧0=x105∧0=x104∧820_0_length_NULL(x104, x2[9])=List(x0[10]) ⇒ 1090_1_MAIN_INVOKEMETHOD(List(x0[9]), x2[9], java.lang.Object(List(x3[10])), NULL)≥NonInfC∧1090_1_MAIN_INVOKEMETHOD(List(x0[9]), x2[9], java.lang.Object(List(x3[10])), NULL)≥1113_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[9]), NULL, java.lang.Object(List(x3[10])), x0[9], x2[9])∧(U^Increasing(1113_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[9]), x1[9], x3[9], x0[9], x2[9])), ≥))

(232)    (Cond_820_0_length_NULL(>(x107, -1), x107, java.lang.Object(List(x106)))=List(x0[9])∧0=x107∧0=x104∧820_0_length_NULL(x104, x2[9])=List(x0[10]) ⇒ 1090_1_MAIN_INVOKEMETHOD(List(x0[9]), x2[9], java.lang.Object(List(x3[10])), java.lang.Object(List(x106)))≥NonInfC∧1090_1_MAIN_INVOKEMETHOD(List(x0[9]), x2[9], java.lang.Object(List(x3[10])), java.lang.Object(List(x106)))≥1113_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[9]), java.lang.Object(List(x106)), java.lang.Object(List(x3[10])), x0[9], x2[9])∧(U^Increasing(1113_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[9]), x1[9], x3[9], x0[9], x2[9])), ≥))

We simplified constraint (231) using rules (I), (II), (III) which results in the following new constraint:
(233)    (0=x104∧820_0_length_NULL(x104, x2[9])=List(x0[10]) ⇒ 1090_1_MAIN_INVOKEMETHOD(List(0), x2[9], java.lang.Object(List(x3[10])), NULL)≥NonInfC∧1090_1_MAIN_INVOKEMETHOD(List(0), x2[9], java.lang.Object(List(x3[10])), NULL)≥1113_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[9]), NULL, java.lang.Object(List(x3[10])), 0, x2[9])∧(U^Increasing(1113_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[9]), x1[9], x3[9], x0[9], x2[9])), ≥))

We simplified constraint (232) using rule (VII) which results in the following new constraint:
(234)    (>(x107, -1)=x113∧java.lang.Object(List(x106))=x114∧Cond_820_0_length_NULL(x113, x107, x114)=List(x0[9])∧0=x107∧0=x104∧820_0_length_NULL(x104, x2[9])=List(x0[10]) ⇒ 1090_1_MAIN_INVOKEMETHOD(List(x0[9]), x2[9], java.lang.Object(List(x3[10])), java.lang.Object(List(x106)))≥NonInfC∧1090_1_MAIN_INVOKEMETHOD(List(x0[9]), x2[9], java.lang.Object(List(x3[10])), java.lang.Object(List(x106)))≥1113_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[9]), java.lang.Object(List(x106)), java.lang.Object(List(x3[10])), x0[9], x2[9])∧(U^Increasing(1113_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[9]), x1[9], x3[9], x0[9], x2[9])), ≥))

We simplified constraint (233) using rule (V) (with possible (I) afterwards) using induction on 820_0_length_NULL(x104, x2[9])=List(x0[10]) which results in the following new constraints:
(235)    (List(x108)=List(x0[10])∧0=x108 ⇒ 1090_1_MAIN_INVOKEMETHOD(List(0), NULL, java.lang.Object(List(x3[10])), NULL)≥NonInfC∧1090_1_MAIN_INVOKEMETHOD(List(0), NULL, java.lang.Object(List(x3[10])), NULL)≥1113_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(NULL), NULL, java.lang.Object(List(x3[10])), 0, NULL)∧(U^Increasing(1113_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[9]), x1[9], x3[9], x0[9], x2[9])), ≥))

(236)    (Cond_820_0_length_NULL(>(x110, -1), x110, java.lang.Object(List(x109)))=List(x0[10])∧0=x110 ⇒ 1090_1_MAIN_INVOKEMETHOD(List(0), java.lang.Object(List(x109)), java.lang.Object(List(x3[10])), NULL)≥NonInfC∧1090_1_MAIN_INVOKEMETHOD(List(0), java.lang.Object(List(x109)), java.lang.Object(List(x3[10])), NULL)≥1113_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(java.lang.Object(List(x109))), NULL, java.lang.Object(List(x3[10])), 0, java.lang.Object(List(x109)))∧(U^Increasing(1113_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[9]), x1[9], x3[9], x0[9], x2[9])), ≥))

We simplified constraint (235) using rules (I), (II), (IV) which results in the following new constraint:
(237)    (1090_1_MAIN_INVOKEMETHOD(List(0), NULL, java.lang.Object(List(x3[10])), NULL)≥NonInfC∧1090_1_MAIN_INVOKEMETHOD(List(0), NULL, java.lang.Object(List(x3[10])), NULL)≥1113_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(NULL), NULL, java.lang.Object(List(x3[10])), 0, NULL)∧(U^Increasing(1113_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[9]), x1[9], x3[9], x0[9], x2[9])), ≥))

We simplified constraint (236) using rules (III), (VII), (IDP_CONSTANT_FOLD) which results in the following new constraint:
(238)    (Cond_820_0_length_NULL(TRUE, 0, java.lang.Object(List(x109)))=List(x0[10]) ⇒ 1090_1_MAIN_INVOKEMETHOD(List(0), java.lang.Object(List(x109)), java.lang.Object(List(x3[10])), NULL)≥NonInfC∧1090_1_MAIN_INVOKEMETHOD(List(0), java.lang.Object(List(x109)), java.lang.Object(List(x3[10])), NULL)≥1113_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(java.lang.Object(List(x109))), NULL, java.lang.Object(List(x3[10])), 0, java.lang.Object(List(x109)))∧(U^Increasing(1113_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[9]), x1[9], x3[9], x0[9], x2[9])), ≥))

We simplified constraint (237) using rule (POLY_CONSTRAINTS) which results in the following new constraint:
(239)    ((U^Increasing(1113_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[9]), x1[9], x3[9], x0[9], x2[9])), ≥)∧[bni_125] = 0∧[(-1)bso_126] ≥ 0)

We simplified constraint (234) using rule (V) (with possible (I) afterwards) using induction on 820_0_length_NULL(x104, x2[9])=List(x0[10]) which results in the following new constraints:
(240)    (List(x115)=List(x0[10])∧>(x107, -1)=x113∧java.lang.Object(List(x106))=x114∧Cond_820_0_length_NULL(x113, x107, x114)=List(x0[9])∧0=x107∧0=x115 ⇒ 1090_1_MAIN_INVOKEMETHOD(List(x0[9]), NULL, java.lang.Object(List(x3[10])), java.lang.Object(List(x106)))≥NonInfC∧1090_1_MAIN_INVOKEMETHOD(List(x0[9]), NULL, java.lang.Object(List(x3[10])), java.lang.Object(List(x106)))≥1113_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(NULL), java.lang.Object(List(x106)), java.lang.Object(List(x3[10])), x0[9], NULL)∧(U^Increasing(1113_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[9]), x1[9], x3[9], x0[9], x2[9])), ≥))

(241)    (Cond_820_0_length_NULL(>(x117, -1), x117, java.lang.Object(List(x116)))=List(x0[10])∧>(x107, -1)=x113∧java.lang.Object(List(x106))=x114∧Cond_820_0_length_NULL(x113, x107, x114)=List(x0[9])∧0=x107∧0=x117 ⇒ 1090_1_MAIN_INVOKEMETHOD(List(x0[9]), java.lang.Object(List(x116)), java.lang.Object(List(x3[10])), java.lang.Object(List(x106)))≥NonInfC∧1090_1_MAIN_INVOKEMETHOD(List(x0[9]), java.lang.Object(List(x116)), java.lang.Object(List(x3[10])), java.lang.Object(List(x106)))≥1113_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(java.lang.Object(List(x116))), java.lang.Object(List(x106)), java.lang.Object(List(x3[10])), x0[9], java.lang.Object(List(x116)))∧(U^Increasing(1113_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[9]), x1[9], x3[9], x0[9], x2[9])), ≥))

We simplified constraint (240) using rules (I), (II), (III), (IV), (IDP_CONSTANT_FOLD) which results in the following new constraint:
(242)    (Cond_820_0_length_NULL(TRUE, 0, java.lang.Object(List(x106)))=List(x0[9]) ⇒ 1090_1_MAIN_INVOKEMETHOD(List(x0[9]), NULL, java.lang.Object(List(x3[10])), java.lang.Object(List(x106)))≥NonInfC∧1090_1_MAIN_INVOKEMETHOD(List(x0[9]), NULL, java.lang.Object(List(x3[10])), java.lang.Object(List(x106)))≥1113_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(NULL), java.lang.Object(List(x106)), java.lang.Object(List(x3[10])), x0[9], NULL)∧(U^Increasing(1113_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[9]), x1[9], x3[9], x0[9], x2[9])), ≥))

We simplified constraint (241) using rules (III), (VII), (IDP_CONSTANT_FOLD) which results in the following new constraint:
(243)    (Cond_820_0_length_NULL(TRUE, 0, java.lang.Object(List(x106)))=List(x0[9])∧Cond_820_0_length_NULL(TRUE, 0, java.lang.Object(List(x116)))=List(x0[10]) ⇒ 1090_1_MAIN_INVOKEMETHOD(List(x0[9]), java.lang.Object(List(x116)), java.lang.Object(List(x3[10])), java.lang.Object(List(x106)))≥NonInfC∧1090_1_MAIN_INVOKEMETHOD(List(x0[9]), java.lang.Object(List(x116)), java.lang.Object(List(x3[10])), java.lang.Object(List(x106)))≥1113_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(java.lang.Object(List(x116))), java.lang.Object(List(x106)), java.lang.Object(List(x3[10])), x0[9], java.lang.Object(List(x116)))∧(U^Increasing(1113_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[9]), x1[9], x3[9], x0[9], x2[9])), ≥))

We simplified constraint (238) using rule (POLY_CONSTRAINTS) which results in the following new constraint:
(244)    ((U^Increasing(1113_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[9]), x1[9], x3[9], x0[9], x2[9])), ≥)∧0 ≥ 0∧[(-1)bso_126] ≥ 0)

We simplified constraint (242) using rule (POLY_CONSTRAINTS) which results in the following new constraint:
(245)    ((U^Increasing(1113_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[9]), x1[9], x3[9], x0[9], x2[9])), ≥)∧0 ≥ 0∧[(-1)bso_126] ≥ 0)

We simplified constraint (243) using rule (POLY_CONSTRAINTS) which results in the following new constraint:
(246)    ((U^Increasing(1113_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[9]), x1[9], x3[9], x0[9], x2[9])), ≥)∧0 ≥ 0∧[(-1)bso_126] ≥ 0)

We simplified constraint (239) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:
(247)    ((U^Increasing(1113_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[9]), x1[9], x3[9], x0[9], x2[9])), ≥)∧[bni_125] = 0∧[(-1)bso_126] ≥ 0)

We simplified constraint (245) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:
(248)    ((U^Increasing(1113_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[9]), x1[9], x3[9], x0[9], x2[9])), ≥)∧0 ≥ 0∧[(-1)bso_126] ≥ 0)

We simplified constraint (244) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:
(249)    ((U^Increasing(1113_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[9]), x1[9], x3[9], x0[9], x2[9])), ≥)∧0 ≥ 0∧[(-1)bso_126] ≥ 0)

We simplified constraint (246) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:
(250)    ((U^Increasing(1113_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[9]), x1[9], x3[9], x0[9], x2[9])), ≥)∧0 ≥ 0∧[(-1)bso_126] ≥ 0)

We simplified constraint (247) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:
(251)    ((U^Increasing(1113_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[9]), x1[9], x3[9], x0[9], x2[9])), ≥)∧[bni_125] = 0∧[(-1)bso_126] ≥ 0)

We simplified constraint (248) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:
(252)    ((U^Increasing(1113_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[9]), x1[9], x3[9], x0[9], x2[9])), ≥)∧0 ≥ 0∧[(-1)bso_126] ≥ 0)

We simplified constraint (249) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:
(253)    ((U^Increasing(1113_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[9]), x1[9], x3[9], x0[9], x2[9])), ≥)∧0 ≥ 0∧[(-1)bso_126] ≥ 0)

We simplified constraint (250) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:
(254)    ((U^Increasing(1113_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[9]), x1[9], x3[9], x0[9], x2[9])), ≥)∧0 ≥ 0∧[(-1)bso_126] ≥ 0)

We simplified constraint (251) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:
(255)    ((U^Increasing(1113_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[9]), x1[9], x3[9], x0[9], x2[9])), ≥)∧[bni_125] = 0∧0 ≥ 0∧[(-1)bso_126] ≥ 0)

We simplified constraint (252) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:
(256)    ((U^Increasing(1113_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[9]), x1[9], x3[9], x0[9], x2[9])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_126] ≥ 0)

We simplified constraint (253) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:
(257)    ((U^Increasing(1113_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[9]), x1[9], x3[9], x0[9], x2[9])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_126] ≥ 0)

We simplified constraint (254) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:
(258)    ((U^Increasing(1113_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[9]), x1[9], x3[9], x0[9], x2[9])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_126] ≥ 0)
We consider the chain COND_1050_1_MAIN_INVOKEMETHOD(TRUE, List(x0[8]), x1[8], x3[8], x4[8], x2[8]) → 1090_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x1[8]), x2[8], x3[8], x1[8]), 1090_1_MAIN_INVOKEMETHOD(List(x0[9]), x2[9], x3[9], x1[9]) → 1113_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[9]), x1[9], x3[9], x0[9], x2[9]), 1113_1_MAIN_INVOKEMETHOD(List(x0[13]), x1[13], x3[13], x0[13], java.lang.Object(List(x2[13]))) → 1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x1[13]), x1[13], x2[13], x3[13]) which results in the following constraint:
(259)    (346_0_length_ConstantStackPush(x1[8])=List(x0[9])∧x2[8]=x2[9]∧x3[8]=x3[9]∧x1[8]=x1[9]∧346_0_length_ConstantStackPush(x2[9])=List(x0[13])∧x1[9]=x1[13]∧x3[9]=x3[13]∧x0[9]=x0[13]∧x2[9]=java.lang.Object(List(x2[13])) ⇒ 1090_1_MAIN_INVOKEMETHOD(List(x0[9]), x2[9], x3[9], x1[9])≥NonInfC∧1090_1_MAIN_INVOKEMETHOD(List(x0[9]), x2[9], x3[9], x1[9])≥1113_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[9]), x1[9], x3[9], x0[9], x2[9])∧(U^Increasing(1113_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[9]), x1[9], x3[9], x0[9], x2[9])), ≥))

We simplified constraint (259) using rules (III), (IV), (VII), (IDP_CONSTANT_FOLD), (REWRITING) which results in the following new constraint:
(260)    (0=x120∧820_0_length_NULL(x120, x1[8])=List(x0[9])∧1=x121∧820_0_length_NULL(x121, x2[13])=List(x0[9]) ⇒ 1090_1_MAIN_INVOKEMETHOD(List(x0[9]), java.lang.Object(List(x2[13])), x3[8], x1[8])≥NonInfC∧1090_1_MAIN_INVOKEMETHOD(List(x0[9]), java.lang.Object(List(x2[13])), x3[8], x1[8])≥1113_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(java.lang.Object(List(x2[13]))), x1[8], x3[8], x0[9], java.lang.Object(List(x2[13])))∧(U^Increasing(1113_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[9]), x1[9], x3[9], x0[9], x2[9])), ≥))

We simplified constraint (260) using rule (V) (with possible (I) afterwards) using induction on 820_0_length_NULL(x120, x1[8])=List(x0[9]) which results in the following new constraints:
(261)    (List(x122)=List(x0[9])∧0=x122∧1=x121∧820_0_length_NULL(x121, x2[13])=List(x0[9]) ⇒ 1090_1_MAIN_INVOKEMETHOD(List(x0[9]), java.lang.Object(List(x2[13])), x3[8], NULL)≥NonInfC∧1090_1_MAIN_INVOKEMETHOD(List(x0[9]), java.lang.Object(List(x2[13])), x3[8], NULL)≥1113_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(java.lang.Object(List(x2[13]))), NULL, x3[8], x0[9], java.lang.Object(List(x2[13])))∧(U^Increasing(1113_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[9]), x1[9], x3[9], x0[9], x2[9])), ≥))

(262)    (Cond_820_0_length_NULL(>(x124, -1), x124, java.lang.Object(List(x123)))=List(x0[9])∧0=x124∧1=x121∧820_0_length_NULL(x121, x2[13])=List(x0[9]) ⇒ 1090_1_MAIN_INVOKEMETHOD(List(x0[9]), java.lang.Object(List(x2[13])), x3[8], java.lang.Object(List(x123)))≥NonInfC∧1090_1_MAIN_INVOKEMETHOD(List(x0[9]), java.lang.Object(List(x2[13])), x3[8], java.lang.Object(List(x123)))≥1113_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(java.lang.Object(List(x2[13]))), java.lang.Object(List(x123)), x3[8], x0[9], java.lang.Object(List(x2[13])))∧(U^Increasing(1113_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[9]), x1[9], x3[9], x0[9], x2[9])), ≥))

We simplified constraint (261) using rules (I), (II), (III) which results in the following new constraint:
(263)    (1=x121∧820_0_length_NULL(x121, x2[13])=List(0) ⇒ 1090_1_MAIN_INVOKEMETHOD(List(0), java.lang.Object(List(x2[13])), x3[8], NULL)≥NonInfC∧1090_1_MAIN_INVOKEMETHOD(List(0), java.lang.Object(List(x2[13])), x3[8], NULL)≥1113_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(java.lang.Object(List(x2[13]))), NULL, x3[8], 0, java.lang.Object(List(x2[13])))∧(U^Increasing(1113_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[9]), x1[9], x3[9], x0[9], x2[9])), ≥))

We simplified constraint (262) using rule (VII) which results in the following new constraint:
(264)    (>(x124, -1)=x130∧java.lang.Object(List(x123))=x131∧Cond_820_0_length_NULL(x130, x124, x131)=List(x0[9])∧0=x124∧1=x121∧820_0_length_NULL(x121, x2[13])=List(x0[9]) ⇒ 1090_1_MAIN_INVOKEMETHOD(List(x0[9]), java.lang.Object(List(x2[13])), x3[8], java.lang.Object(List(x123)))≥NonInfC∧1090_1_MAIN_INVOKEMETHOD(List(x0[9]), java.lang.Object(List(x2[13])), x3[8], java.lang.Object(List(x123)))≥1113_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(java.lang.Object(List(x2[13]))), java.lang.Object(List(x123)), x3[8], x0[9], java.lang.Object(List(x2[13])))∧(U^Increasing(1113_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[9]), x1[9], x3[9], x0[9], x2[9])), ≥))

We simplified constraint (263) using rule (V) (with possible (I) afterwards) using induction on 820_0_length_NULL(x121, x2[13])=List(0) which results in the following new constraints:
(265)    (List(x125)=List(0)∧1=x125 ⇒ 1090_1_MAIN_INVOKEMETHOD(List(0), java.lang.Object(List(NULL)), x3[8], NULL)≥NonInfC∧1090_1_MAIN_INVOKEMETHOD(List(0), java.lang.Object(List(NULL)), x3[8], NULL)≥1113_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(java.lang.Object(List(NULL))), NULL, x3[8], 0, java.lang.Object(List(NULL)))∧(U^Increasing(1113_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[9]), x1[9], x3[9], x0[9], x2[9])), ≥))

(266)    (Cond_820_0_length_NULL(>(x127, -1), x127, java.lang.Object(List(x126)))=List(0)∧1=x127 ⇒ 1090_1_MAIN_INVOKEMETHOD(List(0), java.lang.Object(List(java.lang.Object(List(x126)))), x3[8], NULL)≥NonInfC∧1090_1_MAIN_INVOKEMETHOD(List(0), java.lang.Object(List(java.lang.Object(List(x126)))), x3[8], NULL)≥1113_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(java.lang.Object(List(java.lang.Object(List(x126))))), NULL, x3[8], 0, java.lang.Object(List(java.lang.Object(List(x126)))))∧(U^Increasing(1113_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[9]), x1[9], x3[9], x0[9], x2[9])), ≥))

We solved constraint (265) using rules (I), (II), (III).We simplified constraint (266) using rules (III), (VII), (IDP_CONSTANT_FOLD) which results in the following new constraint:
(267)    (Cond_820_0_length_NULL(TRUE, 1, java.lang.Object(List(x126)))=List(0) ⇒ 1090_1_MAIN_INVOKEMETHOD(List(0), java.lang.Object(List(java.lang.Object(List(x126)))), x3[8], NULL)≥NonInfC∧1090_1_MAIN_INVOKEMETHOD(List(0), java.lang.Object(List(java.lang.Object(List(x126)))), x3[8], NULL)≥1113_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(java.lang.Object(List(java.lang.Object(List(x126))))), NULL, x3[8], 0, java.lang.Object(List(java.lang.Object(List(x126)))))∧(U^Increasing(1113_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[9]), x1[9], x3[9], x0[9], x2[9])), ≥))

We simplified constraint (264) using rule (V) (with possible (I) afterwards) using induction on 820_0_length_NULL(x121, x2[13])=List(x0[9]) which results in the following new constraints:
(268)    (List(x132)=List(x0[9])∧>(x124, -1)=x130∧java.lang.Object(List(x123))=x131∧Cond_820_0_length_NULL(x130, x124, x131)=List(x0[9])∧0=x124∧1=x132 ⇒ 1090_1_MAIN_INVOKEMETHOD(List(x0[9]), java.lang.Object(List(NULL)), x3[8], java.lang.Object(List(x123)))≥NonInfC∧1090_1_MAIN_INVOKEMETHOD(List(x0[9]), java.lang.Object(List(NULL)), x3[8], java.lang.Object(List(x123)))≥1113_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(java.lang.Object(List(NULL))), java.lang.Object(List(x123)), x3[8], x0[9], java.lang.Object(List(NULL)))∧(U^Increasing(1113_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[9]), x1[9], x3[9], x0[9], x2[9])), ≥))

(269)    (Cond_820_0_length_NULL(>(x134, -1), x134, java.lang.Object(List(x133)))=List(x0[9])∧>(x124, -1)=x130∧java.lang.Object(List(x123))=x131∧Cond_820_0_length_NULL(x130, x124, x131)=List(x0[9])∧0=x124∧1=x134 ⇒ 1090_1_MAIN_INVOKEMETHOD(List(x0[9]), java.lang.Object(List(java.lang.Object(List(x133)))), x3[8], java.lang.Object(List(x123)))≥NonInfC∧1090_1_MAIN_INVOKEMETHOD(List(x0[9]), java.lang.Object(List(java.lang.Object(List(x133)))), x3[8], java.lang.Object(List(x123)))≥1113_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(java.lang.Object(List(java.lang.Object(List(x133))))), java.lang.Object(List(x123)), x3[8], x0[9], java.lang.Object(List(java.lang.Object(List(x133)))))∧(U^Increasing(1113_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[9]), x1[9], x3[9], x0[9], x2[9])), ≥))

We simplified constraint (268) using rules (I), (II), (III), (IDP_CONSTANT_FOLD) which results in the following new constraint:
(270)    (Cond_820_0_length_NULL(TRUE, 0, java.lang.Object(List(x123)))=List(1) ⇒ 1090_1_MAIN_INVOKEMETHOD(List(1), java.lang.Object(List(NULL)), x3[8], java.lang.Object(List(x123)))≥NonInfC∧1090_1_MAIN_INVOKEMETHOD(List(1), java.lang.Object(List(NULL)), x3[8], java.lang.Object(List(x123)))≥1113_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(java.lang.Object(List(NULL))), java.lang.Object(List(x123)), x3[8], 1, java.lang.Object(List(NULL)))∧(U^Increasing(1113_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[9]), x1[9], x3[9], x0[9], x2[9])), ≥))

We simplified constraint (269) using rules (III), (VII), (IDP_CONSTANT_FOLD) which results in the following new constraint:
(271)    (Cond_820_0_length_NULL(TRUE, 0, java.lang.Object(List(x123)))=List(x0[9])∧Cond_820_0_length_NULL(TRUE, 1, java.lang.Object(List(x133)))=List(x0[9]) ⇒ 1090_1_MAIN_INVOKEMETHOD(List(x0[9]), java.lang.Object(List(java.lang.Object(List(x133)))), x3[8], java.lang.Object(List(x123)))≥NonInfC∧1090_1_MAIN_INVOKEMETHOD(List(x0[9]), java.lang.Object(List(java.lang.Object(List(x133)))), x3[8], java.lang.Object(List(x123)))≥1113_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(java.lang.Object(List(java.lang.Object(List(x133))))), java.lang.Object(List(x123)), x3[8], x0[9], java.lang.Object(List(java.lang.Object(List(x133)))))∧(U^Increasing(1113_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[9]), x1[9], x3[9], x0[9], x2[9])), ≥))

We simplified constraint (267) using rule (POLY_CONSTRAINTS) which results in the following new constraint:
(272)    ((U^Increasing(1113_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[9]), x1[9], x3[9], x0[9], x2[9])), ≥)∧0 ≥ 0∧[(-1)bso_126] ≥ 0)

We simplified constraint (270) using rule (POLY_CONSTRAINTS) which results in the following new constraint:
(273)    ((U^Increasing(1113_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[9]), x1[9], x3[9], x0[9], x2[9])), ≥)∧0 ≥ 0∧[(-1)bso_126] ≥ 0)

We simplified constraint (271) using rule (POLY_CONSTRAINTS) which results in the following new constraint:
(274)    ((U^Increasing(1113_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[9]), x1[9], x3[9], x0[9], x2[9])), ≥)∧0 ≥ 0∧[(-1)bso_126] ≥ 0)

We simplified constraint (273) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:
(275)    ((U^Increasing(1113_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[9]), x1[9], x3[9], x0[9], x2[9])), ≥)∧0 ≥ 0∧[(-1)bso_126] ≥ 0)

We simplified constraint (272) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:
(276)    ((U^Increasing(1113_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[9]), x1[9], x3[9], x0[9], x2[9])), ≥)∧0 ≥ 0∧[(-1)bso_126] ≥ 0)

We simplified constraint (274) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:
(277)    ((U^Increasing(1113_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[9]), x1[9], x3[9], x0[9], x2[9])), ≥)∧0 ≥ 0∧[(-1)bso_126] ≥ 0)

We simplified constraint (275) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:
(278)    ((U^Increasing(1113_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[9]), x1[9], x3[9], x0[9], x2[9])), ≥)∧0 ≥ 0∧[(-1)bso_126] ≥ 0)

We simplified constraint (276) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:
(279)    ((U^Increasing(1113_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[9]), x1[9], x3[9], x0[9], x2[9])), ≥)∧0 ≥ 0∧[(-1)bso_126] ≥ 0)

We simplified constraint (277) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:
(280)    ((U^Increasing(1113_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[9]), x1[9], x3[9], x0[9], x2[9])), ≥)∧0 ≥ 0∧[(-1)bso_126] ≥ 0)

We simplified constraint (278) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:
(281)    ((U^Increasing(1113_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[9]), x1[9], x3[9], x0[9], x2[9])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_126] ≥ 0)

We simplified constraint (279) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:
(282)    ((U^Increasing(1113_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[9]), x1[9], x3[9], x0[9], x2[9])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_126] ≥ 0)

We simplified constraint (280) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:
(283)    ((U^Increasing(1113_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[9]), x1[9], x3[9], x0[9], x2[9])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_126] ≥ 0)

For Pair 1113_1_MAIN_INVOKEMETHOD(List(x0), x1, java.lang.Object(List(x3)), x4, x2) → COND_1113_1_MAIN_INVOKEMETHOD(!(=(x4, x0)), List(x0), x1, java.lang.Object(List(x3)), x4, x2) the following chains were created:

We consider the chain 1113_1_MAIN_INVOKEMETHOD(List(x0[10]), x1[10], java.lang.Object(List(x3[10])), x4[10], x2[10]) → COND_1113_1_MAIN_INVOKEMETHOD(!(=(x4[10], x0[10])), List(x0[10]), x1[10], java.lang.Object(List(x3[10])), x4[10], x2[10]), COND_1113_1_MAIN_INVOKEMETHOD(TRUE, List(x0[11]), x1[11], java.lang.Object(List(x3[11])), x4[11], x2[11]) → 1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x1[11]), x1[11], x2[11], x3[11]) which results in the following constraint:
(284)    (!(=(x4[10], x0[10]))=TRUE∧List(x0[10])=List(x0[11])∧x1[10]=x1[11]∧java.lang.Object(List(x3[10]))=java.lang.Object(List(x3[11]))∧x4[10]=x4[11]∧x2[10]=x2[11] ⇒ 1113_1_MAIN_INVOKEMETHOD(List(x0[10]), x1[10], java.lang.Object(List(x3[10])), x4[10], x2[10])≥NonInfC∧1113_1_MAIN_INVOKEMETHOD(List(x0[10]), x1[10], java.lang.Object(List(x3[10])), x4[10], x2[10])≥COND_1113_1_MAIN_INVOKEMETHOD(!(=(x4[10], x0[10])), List(x0[10]), x1[10], java.lang.Object(List(x3[10])), x4[10], x2[10])∧(U^Increasing(COND_1113_1_MAIN_INVOKEMETHOD(!(=(x4[10], x0[10])), List(x0[10]), x1[10], java.lang.Object(List(x3[10])), x4[10], x2[10])), ≥))

We simplified constraint (284) using rules (I), (II), (IV) which results in the following new constraint:
(285)    (!(=(x4[10], x0[10]))=TRUE ⇒ 1113_1_MAIN_INVOKEMETHOD(List(x0[10]), x1[10], java.lang.Object(List(x3[10])), x4[10], x2[10])≥NonInfC∧1113_1_MAIN_INVOKEMETHOD(List(x0[10]), x1[10], java.lang.Object(List(x3[10])), x4[10], x2[10])≥COND_1113_1_MAIN_INVOKEMETHOD(!(=(x4[10], x0[10])), List(x0[10]), x1[10], java.lang.Object(List(x3[10])), x4[10], x2[10])∧(U^Increasing(COND_1113_1_MAIN_INVOKEMETHOD(!(=(x4[10], x0[10])), List(x0[10]), x1[10], java.lang.Object(List(x3[10])), x4[10], x2[10])), ≥))

We simplified constraint (285) using rule (POLY_CONSTRAINTS) which results in the following new constraint:
(286)    (0 ≥ 0 ⇒ (U^Increasing(COND_1113_1_MAIN_INVOKEMETHOD(!(=(x4[10], x0[10])), List(x0[10]), x1[10], java.lang.Object(List(x3[10])), x4[10], x2[10])), ≥)∧[(-1)bni_127 + (-1)Bound*bni_127] ≥ 0∧[(-1)bso_128] ≥ 0)

We simplified constraint (286) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:
(287)    (0 ≥ 0 ⇒ (U^Increasing(COND_1113_1_MAIN_INVOKEMETHOD(!(=(x4[10], x0[10])), List(x0[10]), x1[10], java.lang.Object(List(x3[10])), x4[10], x2[10])), ≥)∧[(-1)bni_127 + (-1)Bound*bni_127] ≥ 0∧[(-1)bso_128] ≥ 0)

We simplified constraint (287) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:
(288)    (0 ≥ 0 ⇒ (U^Increasing(COND_1113_1_MAIN_INVOKEMETHOD(!(=(x4[10], x0[10])), List(x0[10]), x1[10], java.lang.Object(List(x3[10])), x4[10], x2[10])), ≥)∧[(-1)bni_127 + (-1)Bound*bni_127] ≥ 0∧[(-1)bso_128] ≥ 0)

We simplified constraint (288) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:
(289)    (0 ≥ 0 ⇒ (U^Increasing(COND_1113_1_MAIN_INVOKEMETHOD(!(=(x4[10], x0[10])), List(x0[10]), x1[10], java.lang.Object(List(x3[10])), x4[10], x2[10])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bni_127 + (-1)Bound*bni_127] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_128] ≥ 0)

For Pair COND_1113_1_MAIN_INVOKEMETHOD(TRUE, List(x0), x1, java.lang.Object(List(x3)), x4, x2) → 1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x1), x1, x2, x3) the following chains were created:

We consider the chain 1113_1_MAIN_INVOKEMETHOD(List(x0[10]), x1[10], java.lang.Object(List(x3[10])), x4[10], x2[10]) → COND_1113_1_MAIN_INVOKEMETHOD(!(=(x4[10], x0[10])), List(x0[10]), x1[10], java.lang.Object(List(x3[10])), x4[10], x2[10]), COND_1113_1_MAIN_INVOKEMETHOD(TRUE, List(x0[11]), x1[11], java.lang.Object(List(x3[11])), x4[11], x2[11]) → 1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x1[11]), x1[11], x2[11], x3[11]), 1275_1_MAIN_INVOKEMETHOD(1522_0_test_Return, x0[12], x1[12], x2[12]) → 346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[12]), x1[12], x2[12], x0[12]) which results in the following constraint:
(290)    (!(=(x4[10], x0[10]))=TRUE∧List(x0[10])=List(x0[11])∧x1[10]=x1[11]∧java.lang.Object(List(x3[10]))=java.lang.Object(List(x3[11]))∧x4[10]=x4[11]∧x2[10]=x2[11]∧1275_0_test_Load(x1[11])=1522_0_test_Return∧x1[11]=x0[12]∧x2[11]=x1[12]∧x3[11]=x2[12] ⇒ COND_1113_1_MAIN_INVOKEMETHOD(TRUE, List(x0[11]), x1[11], java.lang.Object(List(x3[11])), x4[11], x2[11])≥NonInfC∧COND_1113_1_MAIN_INVOKEMETHOD(TRUE, List(x0[11]), x1[11], java.lang.Object(List(x3[11])), x4[11], x2[11])≥1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x1[11]), x1[11], x2[11], x3[11])∧(U^Increasing(1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x1[11]), x1[11], x2[11], x3[11])), ≥))

We simplified constraint (290) using rules (I), (II), (III), (IV), (REWRITING) which results in the following new constraint:
(291)    (!(=(x4[10], x0[10]))=TRUE∧1518_0_test_NULL(x1[11])=1522_0_test_Return ⇒ COND_1113_1_MAIN_INVOKEMETHOD(TRUE, List(x0[10]), x1[11], java.lang.Object(List(x3[10])), x4[10], x2[10])≥NonInfC∧COND_1113_1_MAIN_INVOKEMETHOD(TRUE, List(x0[10]), x1[11], java.lang.Object(List(x3[10])), x4[10], x2[10])≥1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x1[11]), x1[11], x2[10], x3[10])∧(U^Increasing(1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x1[11]), x1[11], x2[11], x3[11])), ≥))

We simplified constraint (291) using rule (V) (with possible (I) afterwards) using induction on 1518_0_test_NULL(x1[11])=1522_0_test_Return which results in the following new constraints:
(292)    (1522_0_test_Return=1522_0_test_Return∧!(=(x4[10], x0[10]))=TRUE ⇒ COND_1113_1_MAIN_INVOKEMETHOD(TRUE, List(x0[10]), NULL, java.lang.Object(List(x3[10])), x4[10], x2[10])≥NonInfC∧COND_1113_1_MAIN_INVOKEMETHOD(TRUE, List(x0[10]), NULL, java.lang.Object(List(x3[10])), x4[10], x2[10])≥1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(NULL), NULL, x2[10], x3[10])∧(U^Increasing(1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x1[11]), x1[11], x2[11], x3[11])), ≥))

(293)    (1518_0_test_NULL(x137)=1522_0_test_Return∧!(=(x4[10], x0[10]))=TRUE∧(∀x138,x139,x140,x141:1518_0_test_NULL(x137)=1522_0_test_Return∧!(=(x138, x139))=TRUE ⇒ COND_1113_1_MAIN_INVOKEMETHOD(TRUE, List(x139), x137, java.lang.Object(List(x140)), x138, x141)≥NonInfC∧COND_1113_1_MAIN_INVOKEMETHOD(TRUE, List(x139), x137, java.lang.Object(List(x140)), x138, x141)≥1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x137), x137, x141, x140)∧(U^Increasing(1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x1[11]), x1[11], x2[11], x3[11])), ≥)) ⇒ COND_1113_1_MAIN_INVOKEMETHOD(TRUE, List(x0[10]), java.lang.Object(List(x137)), java.lang.Object(List(x3[10])), x4[10], x2[10])≥NonInfC∧COND_1113_1_MAIN_INVOKEMETHOD(TRUE, List(x0[10]), java.lang.Object(List(x137)), java.lang.Object(List(x3[10])), x4[10], x2[10])≥1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(java.lang.Object(List(x137))), java.lang.Object(List(x137)), x2[10], x3[10])∧(U^Increasing(1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x1[11]), x1[11], x2[11], x3[11])), ≥))

We simplified constraint (292) using rules (I), (II) which results in the following new constraint:
(294)    (!(=(x4[10], x0[10]))=TRUE ⇒ COND_1113_1_MAIN_INVOKEMETHOD(TRUE, List(x0[10]), NULL, java.lang.Object(List(x3[10])), x4[10], x2[10])≥NonInfC∧COND_1113_1_MAIN_INVOKEMETHOD(TRUE, List(x0[10]), NULL, java.lang.Object(List(x3[10])), x4[10], x2[10])≥1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(NULL), NULL, x2[10], x3[10])∧(U^Increasing(1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x1[11]), x1[11], x2[11], x3[11])), ≥))

We simplified constraint (293) using rule (VI) where we applied the induction hypothesis (∀x138,x139,x140,x141:1518_0_test_NULL(x137)=1522_0_test_Return∧!(=(x138, x139))=TRUE ⇒ COND_1113_1_MAIN_INVOKEMETHOD(TRUE, List(x139), x137, java.lang.Object(List(x140)), x138, x141)≥NonInfC∧COND_1113_1_MAIN_INVOKEMETHOD(TRUE, List(x139), x137, java.lang.Object(List(x140)), x138, x141)≥1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x137), x137, x141, x140)∧(U^Increasing(1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x1[11]), x1[11], x2[11], x3[11])), ≥)) with σ = [x138 / x4[10], x139 / x0[10]] which results in the following new constraint:
(295)    (COND_1113_1_MAIN_INVOKEMETHOD(TRUE, List(x0[10]), x137, java.lang.Object(List(x140)), x4[10], x141)≥NonInfC∧COND_1113_1_MAIN_INVOKEMETHOD(TRUE, List(x0[10]), x137, java.lang.Object(List(x140)), x4[10], x141)≥1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x137), x137, x141, x140)∧(U^Increasing(1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x1[11]), x1[11], x2[11], x3[11])), ≥) ⇒ COND_1113_1_MAIN_INVOKEMETHOD(TRUE, List(x0[10]), java.lang.Object(List(x137)), java.lang.Object(List(x3[10])), x4[10], x2[10])≥NonInfC∧COND_1113_1_MAIN_INVOKEMETHOD(TRUE, List(x0[10]), java.lang.Object(List(x137)), java.lang.Object(List(x3[10])), x4[10], x2[10])≥1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(java.lang.Object(List(x137))), java.lang.Object(List(x137)), x2[10], x3[10])∧(U^Increasing(1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x1[11]), x1[11], x2[11], x3[11])), ≥))

We simplified constraint (294) using rule (POLY_CONSTRAINTS) which results in the following new constraint:
(296)    (0 ≥ 0 ⇒ (U^Increasing(1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x1[11]), x1[11], x2[11], x3[11])), ≥)∧[(-1)bni_129 + (-1)Bound*bni_129] ≥ 0∧[(-1)bso_130] ≥ 0)

We simplified constraint (295) using rule (POLY_CONSTRAINTS) which results in the following new constraint:
(297)    ((U^Increasing(1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x1[11]), x1[11], x2[11], x3[11])), ≥)∧[-2] ≥ 0∧[-3] + x137 ≥ 0 ⇒ (U^Increasing(1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x1[11]), x1[11], x2[11], x3[11])), ≥)∧[(-1)bni_129 + (-1)Bound*bni_129] ≥ 0∧[-2 + (-1)bso_130] ≥ 0)

We simplified constraint (296) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:
(298)    (0 ≥ 0 ⇒ (U^Increasing(1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x1[11]), x1[11], x2[11], x3[11])), ≥)∧[(-1)bni_129 + (-1)Bound*bni_129] ≥ 0∧[(-1)bso_130] ≥ 0)

We simplified constraint (297) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:
(299)    ((U^Increasing(1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x1[11]), x1[11], x2[11], x3[11])), ≥)∧[-2] ≥ 0∧[-3] + x137 ≥ 0 ⇒ (U^Increasing(1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x1[11]), x1[11], x2[11], x3[11])), ≥)∧[(-1)bni_129 + (-1)Bound*bni_129] ≥ 0∧[-2 + (-1)bso_130] ≥ 0)

We simplified constraint (298) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:
(300)    (0 ≥ 0 ⇒ (U^Increasing(1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x1[11]), x1[11], x2[11], x3[11])), ≥)∧[(-1)bni_129 + (-1)Bound*bni_129] ≥ 0∧[(-1)bso_130] ≥ 0)

We simplified constraint (299) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:
(301)    ((U^Increasing(1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x1[11]), x1[11], x2[11], x3[11])), ≥)∧[-2] ≥ 0∧[-3] + x137 ≥ 0 ⇒ (U^Increasing(1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x1[11]), x1[11], x2[11], x3[11])), ≥)∧[(-1)bni_129 + (-1)Bound*bni_129] ≥ 0∧[-2 + (-1)bso_130] ≥ 0)

We simplified constraint (300) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:
(302)    (0 ≥ 0 ⇒ (U^Increasing(1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x1[11]), x1[11], x2[11], x3[11])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bni_129 + (-1)Bound*bni_129] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_130] ≥ 0)

We simplified constraint (301) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:
(303)    ((U^Increasing(1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x1[11]), x1[11], x2[11], x3[11])), ≥)∧[-2] ≥ 0∧[-3] + x137 ≥ 0 ⇒ (U^Increasing(1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x1[11]), x1[11], x2[11], x3[11])), ≥)∧0 ≥ 0∧0 ≥ 0∧[(-1)bni_129 + (-1)Bound*bni_129] ≥ 0∧0 ≥ 0∧0 ≥ 0∧[-2 + (-1)bso_130] ≥ 0)

We solved constraint (303) using rule (IDP_SMT_SPLIT).

For Pair 1275_1_MAIN_INVOKEMETHOD(1522_0_test_Return, x0, x1, x2) → 346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0), x1, x2, x0) the following chains were created:

We consider the chain COND_1113_1_MAIN_INVOKEMETHOD(TRUE, List(x0[11]), x1[11], java.lang.Object(List(x3[11])), x4[11], x2[11]) → 1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x1[11]), x1[11], x2[11], x3[11]), 1275_1_MAIN_INVOKEMETHOD(1522_0_test_Return, x0[12], x1[12], x2[12]) → 346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[12]), x1[12], x2[12], x0[12]), 346_1_MAIN_INVOKEMETHOD(List(x0[0]), x2[0], x3[0], x1[0]) → COND_346_1_MAIN_INVOKEMETHOD(>(x0[0], 0), List(x0[0]), x2[0], x3[0], x1[0]) which results in the following constraint:
(304)    (1275_0_test_Load(x1[11])=1522_0_test_Return∧x1[11]=x0[12]∧x2[11]=x1[12]∧x3[11]=x2[12]∧346_0_length_ConstantStackPush(x0[12])=List(x0[0])∧x1[12]=x2[0]∧x2[12]=x3[0]∧x0[12]=x1[0] ⇒ 1275_1_MAIN_INVOKEMETHOD(1522_0_test_Return, x0[12], x1[12], x2[12])≥NonInfC∧1275_1_MAIN_INVOKEMETHOD(1522_0_test_Return, x0[12], x1[12], x2[12])≥346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[12]), x1[12], x2[12], x0[12])∧(U^Increasing(346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[12]), x1[12], x2[12], x0[12])), ≥))

We simplified constraint (304) using rules (III), (IV), (VII), (REWRITING) which results in the following new constraint:
(305)    (1518_0_test_NULL(x1[11])=1522_0_test_Return∧0=x145∧820_0_length_NULL(x145, x1[11])=List(x0[0]) ⇒ 1275_1_MAIN_INVOKEMETHOD(1522_0_test_Return, x1[11], x2[11], x3[11])≥NonInfC∧1275_1_MAIN_INVOKEMETHOD(1522_0_test_Return, x1[11], x2[11], x3[11])≥346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x1[11]), x2[11], x3[11], x1[11])∧(U^Increasing(346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[12]), x1[12], x2[12], x0[12])), ≥))

We simplified constraint (305) using rule (V) (with possible (I) afterwards) using induction on 1518_0_test_NULL(x1[11])=1522_0_test_Return which results in the following new constraints:
(306)    (1522_0_test_Return=1522_0_test_Return∧0=x145∧820_0_length_NULL(x145, NULL)=List(x0[0]) ⇒ 1275_1_MAIN_INVOKEMETHOD(1522_0_test_Return, NULL, x2[11], x3[11])≥NonInfC∧1275_1_MAIN_INVOKEMETHOD(1522_0_test_Return, NULL, x2[11], x3[11])≥346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(NULL), x2[11], x3[11], NULL)∧(U^Increasing(346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[12]), x1[12], x2[12], x0[12])), ≥))

(307)    (1518_0_test_NULL(x146)=1522_0_test_Return∧0=x145∧820_0_length_NULL(x145, java.lang.Object(List(x146)))=List(x0[0])∧(∀x147,x148,x149,x150:1518_0_test_NULL(x146)=1522_0_test_Return∧0=x147∧820_0_length_NULL(x147, x146)=List(x148) ⇒ 1275_1_MAIN_INVOKEMETHOD(1522_0_test_Return, x146, x149, x150)≥NonInfC∧1275_1_MAIN_INVOKEMETHOD(1522_0_test_Return, x146, x149, x150)≥346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x146), x149, x150, x146)∧(U^Increasing(346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[12]), x1[12], x2[12], x0[12])), ≥)) ⇒ 1275_1_MAIN_INVOKEMETHOD(1522_0_test_Return, java.lang.Object(List(x146)), x2[11], x3[11])≥NonInfC∧1275_1_MAIN_INVOKEMETHOD(1522_0_test_Return, java.lang.Object(List(x146)), x2[11], x3[11])≥346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(java.lang.Object(List(x146))), x2[11], x3[11], java.lang.Object(List(x146)))∧(U^Increasing(346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[12]), x1[12], x2[12], x0[12])), ≥))

We simplified constraint (306) using rules (I), (II), (IV), (REWRITING) which results in the following new constraint:
(308)    (1275_1_MAIN_INVOKEMETHOD(1522_0_test_Return, NULL, x2[11], x3[11])≥NonInfC∧1275_1_MAIN_INVOKEMETHOD(1522_0_test_Return, NULL, x2[11], x3[11])≥346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(NULL), x2[11], x3[11], NULL)∧(U^Increasing(346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[12]), x1[12], x2[12], x0[12])), ≥))

We simplified constraint (307) using rules (VII), (REWRITING) which results in the following new constraint:
(309)    (1518_0_test_NULL(x146)=1522_0_test_Return∧0=x145∧(∀x147,x148,x149,x150:1518_0_test_NULL(x146)=1522_0_test_Return∧0=x147∧820_0_length_NULL(x147, x146)=List(x148) ⇒ 1275_1_MAIN_INVOKEMETHOD(1522_0_test_Return, x146, x149, x150)≥NonInfC∧1275_1_MAIN_INVOKEMETHOD(1522_0_test_Return, x146, x149, x150)≥346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x146), x149, x150, x146)∧(U^Increasing(346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[12]), x1[12], x2[12], x0[12])), ≥))∧>(x145, -1)=x154∧java.lang.Object(List(x146))=x155∧Cond_820_0_length_NULL(x154, x145, x155)=List(x0[0]) ⇒ 1275_1_MAIN_INVOKEMETHOD(1522_0_test_Return, java.lang.Object(List(x146)), x2[11], x3[11])≥NonInfC∧1275_1_MAIN_INVOKEMETHOD(1522_0_test_Return, java.lang.Object(List(x146)), x2[11], x3[11])≥346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(java.lang.Object(List(x146))), x2[11], x3[11], java.lang.Object(List(x146)))∧(U^Increasing(346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[12]), x1[12], x2[12], x0[12])), ≥))

We simplified constraint (308) using rule (POLY_CONSTRAINTS) which results in the following new constraint:
(310)    ((U^Increasing(346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[12]), x1[12], x2[12], x0[12])), ≥)∧[bni_131] = 0∧[(-1)bso_132] ≥ 0)

We simplified constraint (309) using rule (V) (with possible (I) afterwards) using induction on Cond_820_0_length_NULL(x154, x145, x155)=List(x0[0]) which results in the following new constraint:
(311)    (820_0_length_NULL(+(x157, 1), x156)=List(x0[0])∧1518_0_test_NULL(x146)=1522_0_test_Return∧0=x157∧(∀x147,x148,x149,x150:1518_0_test_NULL(x146)=1522_0_test_Return∧0=x147∧820_0_length_NULL(x147, x146)=List(x148) ⇒ 1275_1_MAIN_INVOKEMETHOD(1522_0_test_Return, x146, x149, x150)≥NonInfC∧1275_1_MAIN_INVOKEMETHOD(1522_0_test_Return, x146, x149, x150)≥346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x146), x149, x150, x146)∧(U^Increasing(346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[12]), x1[12], x2[12], x0[12])), ≥))∧>(x157, -1)=TRUE∧java.lang.Object(List(x146))=java.lang.Object(List(x156)) ⇒ 1275_1_MAIN_INVOKEMETHOD(1522_0_test_Return, java.lang.Object(List(x146)), x2[11], x3[11])≥NonInfC∧1275_1_MAIN_INVOKEMETHOD(1522_0_test_Return, java.lang.Object(List(x146)), x2[11], x3[11])≥346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(java.lang.Object(List(x146))), x2[11], x3[11], java.lang.Object(List(x146)))∧(U^Increasing(346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[12]), x1[12], x2[12], x0[12])), ≥))

We simplified constraint (311) using rules (I), (II), (III), (VII), (IDP_CONSTANT_FOLD), (DELETE_TRIVIAL_REDUCESTO) which results in the following new constraint:
(312)    (1518_0_test_NULL(x156)=1522_0_test_Return∧(∀x147,x148,x149,x150:1518_0_test_NULL(x156)=1522_0_test_Return∧0=x147∧820_0_length_NULL(x147, x156)=List(x148) ⇒ 1275_1_MAIN_INVOKEMETHOD(1522_0_test_Return, x156, x149, x150)≥NonInfC∧1275_1_MAIN_INVOKEMETHOD(1522_0_test_Return, x156, x149, x150)≥346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x156), x149, x150, x156)∧(U^Increasing(346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[12]), x1[12], x2[12], x0[12])), ≥))∧820_0_length_NULL(1, x156)=List(x0[0]) ⇒ 1275_1_MAIN_INVOKEMETHOD(1522_0_test_Return, java.lang.Object(List(x156)), x2[11], x3[11])≥NonInfC∧1275_1_MAIN_INVOKEMETHOD(1522_0_test_Return, java.lang.Object(List(x156)), x2[11], x3[11])≥346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(java.lang.Object(List(x156))), x2[11], x3[11], java.lang.Object(List(x156)))∧(U^Increasing(346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[12]), x1[12], x2[12], x0[12])), ≥))

We simplified constraint (312) using rule (POLY_CONSTRAINTS) which results in the following new constraint:
(313)    ((U^Increasing(346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[12]), x1[12], x2[12], x0[12])), ≥)∧0 ≥ 0∧[(-1)bso_132] ≥ 0)

We simplified constraint (310) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:
(314)    ((U^Increasing(346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[12]), x1[12], x2[12], x0[12])), ≥)∧[bni_131] = 0∧[(-1)bso_132] ≥ 0)

We simplified constraint (313) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:
(315)    ((U^Increasing(346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[12]), x1[12], x2[12], x0[12])), ≥)∧0 ≥ 0∧[(-1)bso_132] ≥ 0)

We simplified constraint (314) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:
(316)    ((U^Increasing(346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[12]), x1[12], x2[12], x0[12])), ≥)∧[bni_131] = 0∧[(-1)bso_132] ≥ 0)

We simplified constraint (315) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:
(317)    ((U^Increasing(346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[12]), x1[12], x2[12], x0[12])), ≥)∧0 ≥ 0∧[(-1)bso_132] ≥ 0)

We simplified constraint (316) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:
(318)    ((U^Increasing(346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[12]), x1[12], x2[12], x0[12])), ≥)∧[bni_131] = 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_132] ≥ 0)

We simplified constraint (317) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:
(319)    ((U^Increasing(346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[12]), x1[12], x2[12], x0[12])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_132] ≥ 0)
We consider the chain 1113_1_MAIN_INVOKEMETHOD(List(x0[13]), x1[13], x3[13], x0[13], java.lang.Object(List(x2[13]))) → 1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x1[13]), x1[13], x2[13], x3[13]), 1275_1_MAIN_INVOKEMETHOD(1522_0_test_Return, x0[12], x1[12], x2[12]) → 346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[12]), x1[12], x2[12], x0[12]), 346_1_MAIN_INVOKEMETHOD(List(x0[0]), x2[0], x3[0], x1[0]) → COND_346_1_MAIN_INVOKEMETHOD(>(x0[0], 0), List(x0[0]), x2[0], x3[0], x1[0]) which results in the following constraint:
(320)    (1275_0_test_Load(x1[13])=1522_0_test_Return∧x1[13]=x0[12]∧x2[13]=x1[12]∧x3[13]=x2[12]∧346_0_length_ConstantStackPush(x0[12])=List(x0[0])∧x1[12]=x2[0]∧x2[12]=x3[0]∧x0[12]=x1[0] ⇒ 1275_1_MAIN_INVOKEMETHOD(1522_0_test_Return, x0[12], x1[12], x2[12])≥NonInfC∧1275_1_MAIN_INVOKEMETHOD(1522_0_test_Return, x0[12], x1[12], x2[12])≥346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[12]), x1[12], x2[12], x0[12])∧(U^Increasing(346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[12]), x1[12], x2[12], x0[12])), ≥))

We simplified constraint (320) using rules (III), (IV), (VII), (REWRITING) which results in the following new constraint:
(321)    (1518_0_test_NULL(x1[13])=1522_0_test_Return∧0=x159∧820_0_length_NULL(x159, x1[13])=List(x0[0]) ⇒ 1275_1_MAIN_INVOKEMETHOD(1522_0_test_Return, x1[13], x2[13], x3[13])≥NonInfC∧1275_1_MAIN_INVOKEMETHOD(1522_0_test_Return, x1[13], x2[13], x3[13])≥346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x1[13]), x2[13], x3[13], x1[13])∧(U^Increasing(346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[12]), x1[12], x2[12], x0[12])), ≥))

We simplified constraint (321) using rule (V) (with possible (I) afterwards) using induction on 1518_0_test_NULL(x1[13])=1522_0_test_Return which results in the following new constraints:
(322)    (1522_0_test_Return=1522_0_test_Return∧0=x159∧820_0_length_NULL(x159, NULL)=List(x0[0]) ⇒ 1275_1_MAIN_INVOKEMETHOD(1522_0_test_Return, NULL, x2[13], x3[13])≥NonInfC∧1275_1_MAIN_INVOKEMETHOD(1522_0_test_Return, NULL, x2[13], x3[13])≥346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(NULL), x2[13], x3[13], NULL)∧(U^Increasing(346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[12]), x1[12], x2[12], x0[12])), ≥))

(323)    (1518_0_test_NULL(x160)=1522_0_test_Return∧0=x159∧820_0_length_NULL(x159, java.lang.Object(List(x160)))=List(x0[0])∧(∀x161,x162,x163,x164:1518_0_test_NULL(x160)=1522_0_test_Return∧0=x161∧820_0_length_NULL(x161, x160)=List(x162) ⇒ 1275_1_MAIN_INVOKEMETHOD(1522_0_test_Return, x160, x163, x164)≥NonInfC∧1275_1_MAIN_INVOKEMETHOD(1522_0_test_Return, x160, x163, x164)≥346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x160), x163, x164, x160)∧(U^Increasing(346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[12]), x1[12], x2[12], x0[12])), ≥)) ⇒ 1275_1_MAIN_INVOKEMETHOD(1522_0_test_Return, java.lang.Object(List(x160)), x2[13], x3[13])≥NonInfC∧1275_1_MAIN_INVOKEMETHOD(1522_0_test_Return, java.lang.Object(List(x160)), x2[13], x3[13])≥346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(java.lang.Object(List(x160))), x2[13], x3[13], java.lang.Object(List(x160)))∧(U^Increasing(346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[12]), x1[12], x2[12], x0[12])), ≥))

We simplified constraint (322) using rules (I), (II), (IV), (REWRITING) which results in the following new constraint:
(324)    (1275_1_MAIN_INVOKEMETHOD(1522_0_test_Return, NULL, x2[13], x3[13])≥NonInfC∧1275_1_MAIN_INVOKEMETHOD(1522_0_test_Return, NULL, x2[13], x3[13])≥346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(NULL), x2[13], x3[13], NULL)∧(U^Increasing(346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[12]), x1[12], x2[12], x0[12])), ≥))

We simplified constraint (323) using rules (VII), (REWRITING) which results in the following new constraint:
(325)    (1518_0_test_NULL(x160)=1522_0_test_Return∧0=x159∧(∀x161,x162,x163,x164:1518_0_test_NULL(x160)=1522_0_test_Return∧0=x161∧820_0_length_NULL(x161, x160)=List(x162) ⇒ 1275_1_MAIN_INVOKEMETHOD(1522_0_test_Return, x160, x163, x164)≥NonInfC∧1275_1_MAIN_INVOKEMETHOD(1522_0_test_Return, x160, x163, x164)≥346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x160), x163, x164, x160)∧(U^Increasing(346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[12]), x1[12], x2[12], x0[12])), ≥))∧>(x159, -1)=x168∧java.lang.Object(List(x160))=x169∧Cond_820_0_length_NULL(x168, x159, x169)=List(x0[0]) ⇒ 1275_1_MAIN_INVOKEMETHOD(1522_0_test_Return, java.lang.Object(List(x160)), x2[13], x3[13])≥NonInfC∧1275_1_MAIN_INVOKEMETHOD(1522_0_test_Return, java.lang.Object(List(x160)), x2[13], x3[13])≥346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(java.lang.Object(List(x160))), x2[13], x3[13], java.lang.Object(List(x160)))∧(U^Increasing(346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[12]), x1[12], x2[12], x0[12])), ≥))

We simplified constraint (324) using rule (POLY_CONSTRAINTS) which results in the following new constraint:
(326)    ((U^Increasing(346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[12]), x1[12], x2[12], x0[12])), ≥)∧[bni_131] = 0∧[(-1)bso_132] ≥ 0)

We simplified constraint (325) using rule (V) (with possible (I) afterwards) using induction on Cond_820_0_length_NULL(x168, x159, x169)=List(x0[0]) which results in the following new constraint:
(327)    (820_0_length_NULL(+(x171, 1), x170)=List(x0[0])∧1518_0_test_NULL(x160)=1522_0_test_Return∧0=x171∧(∀x161,x162,x163,x164:1518_0_test_NULL(x160)=1522_0_test_Return∧0=x161∧820_0_length_NULL(x161, x160)=List(x162) ⇒ 1275_1_MAIN_INVOKEMETHOD(1522_0_test_Return, x160, x163, x164)≥NonInfC∧1275_1_MAIN_INVOKEMETHOD(1522_0_test_Return, x160, x163, x164)≥346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x160), x163, x164, x160)∧(U^Increasing(346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[12]), x1[12], x2[12], x0[12])), ≥))∧>(x171, -1)=TRUE∧java.lang.Object(List(x160))=java.lang.Object(List(x170)) ⇒ 1275_1_MAIN_INVOKEMETHOD(1522_0_test_Return, java.lang.Object(List(x160)), x2[13], x3[13])≥NonInfC∧1275_1_MAIN_INVOKEMETHOD(1522_0_test_Return, java.lang.Object(List(x160)), x2[13], x3[13])≥346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(java.lang.Object(List(x160))), x2[13], x3[13], java.lang.Object(List(x160)))∧(U^Increasing(346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[12]), x1[12], x2[12], x0[12])), ≥))

We simplified constraint (327) using rules (I), (II), (III), (VII), (IDP_CONSTANT_FOLD), (DELETE_TRIVIAL_REDUCESTO) which results in the following new constraint:
(328)    (1518_0_test_NULL(x170)=1522_0_test_Return∧(∀x161,x162,x163,x164:1518_0_test_NULL(x170)=1522_0_test_Return∧0=x161∧820_0_length_NULL(x161, x170)=List(x162) ⇒ 1275_1_MAIN_INVOKEMETHOD(1522_0_test_Return, x170, x163, x164)≥NonInfC∧1275_1_MAIN_INVOKEMETHOD(1522_0_test_Return, x170, x163, x164)≥346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x170), x163, x164, x170)∧(U^Increasing(346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[12]), x1[12], x2[12], x0[12])), ≥))∧820_0_length_NULL(1, x170)=List(x0[0]) ⇒ 1275_1_MAIN_INVOKEMETHOD(1522_0_test_Return, java.lang.Object(List(x170)), x2[13], x3[13])≥NonInfC∧1275_1_MAIN_INVOKEMETHOD(1522_0_test_Return, java.lang.Object(List(x170)), x2[13], x3[13])≥346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(java.lang.Object(List(x170))), x2[13], x3[13], java.lang.Object(List(x170)))∧(U^Increasing(346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[12]), x1[12], x2[12], x0[12])), ≥))

We simplified constraint (328) using rule (POLY_CONSTRAINTS) which results in the following new constraint:
(329)    ((U^Increasing(346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[12]), x1[12], x2[12], x0[12])), ≥)∧0 ≥ 0∧[(-1)bso_132] ≥ 0)

We simplified constraint (326) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:
(330)    ((U^Increasing(346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[12]), x1[12], x2[12], x0[12])), ≥)∧[bni_131] = 0∧[(-1)bso_132] ≥ 0)

We simplified constraint (329) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:
(331)    ((U^Increasing(346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[12]), x1[12], x2[12], x0[12])), ≥)∧0 ≥ 0∧[(-1)bso_132] ≥ 0)

We simplified constraint (330) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:
(332)    ((U^Increasing(346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[12]), x1[12], x2[12], x0[12])), ≥)∧[bni_131] = 0∧[(-1)bso_132] ≥ 0)

We simplified constraint (331) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:
(333)    ((U^Increasing(346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[12]), x1[12], x2[12], x0[12])), ≥)∧0 ≥ 0∧[(-1)bso_132] ≥ 0)

We simplified constraint (332) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:
(334)    ((U^Increasing(346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[12]), x1[12], x2[12], x0[12])), ≥)∧[bni_131] = 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_132] ≥ 0)

We simplified constraint (333) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:
(335)    ((U^Increasing(346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[12]), x1[12], x2[12], x0[12])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_132] ≥ 0)
We consider the chain COND_1050_1_MAIN_INVOKEMETHOD1(TRUE, List(x0[15]), java.lang.Object(List(x1[15])), x3[15], x4[15], x2[15]) → 1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x1[15]), x1[15], x2[15], x3[15]), 1275_1_MAIN_INVOKEMETHOD(1522_0_test_Return, x0[12], x1[12], x2[12]) → 346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[12]), x1[12], x2[12], x0[12]), 346_1_MAIN_INVOKEMETHOD(List(x0[0]), x2[0], x3[0], x1[0]) → COND_346_1_MAIN_INVOKEMETHOD(>(x0[0], 0), List(x0[0]), x2[0], x3[0], x1[0]) which results in the following constraint:
(336)    (1275_0_test_Load(x1[15])=1522_0_test_Return∧x1[15]=x0[12]∧x2[15]=x1[12]∧x3[15]=x2[12]∧346_0_length_ConstantStackPush(x0[12])=List(x0[0])∧x1[12]=x2[0]∧x2[12]=x3[0]∧x0[12]=x1[0] ⇒ 1275_1_MAIN_INVOKEMETHOD(1522_0_test_Return, x0[12], x1[12], x2[12])≥NonInfC∧1275_1_MAIN_INVOKEMETHOD(1522_0_test_Return, x0[12], x1[12], x2[12])≥346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[12]), x1[12], x2[12], x0[12])∧(U^Increasing(346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[12]), x1[12], x2[12], x0[12])), ≥))

We simplified constraint (336) using rules (III), (IV), (VII), (REWRITING) which results in the following new constraint:
(337)    (1518_0_test_NULL(x1[15])=1522_0_test_Return∧0=x173∧820_0_length_NULL(x173, x1[15])=List(x0[0]) ⇒ 1275_1_MAIN_INVOKEMETHOD(1522_0_test_Return, x1[15], x2[15], x3[15])≥NonInfC∧1275_1_MAIN_INVOKEMETHOD(1522_0_test_Return, x1[15], x2[15], x3[15])≥346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x1[15]), x2[15], x3[15], x1[15])∧(U^Increasing(346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[12]), x1[12], x2[12], x0[12])), ≥))

We simplified constraint (337) using rule (V) (with possible (I) afterwards) using induction on 1518_0_test_NULL(x1[15])=1522_0_test_Return which results in the following new constraints:
(338)    (1522_0_test_Return=1522_0_test_Return∧0=x173∧820_0_length_NULL(x173, NULL)=List(x0[0]) ⇒ 1275_1_MAIN_INVOKEMETHOD(1522_0_test_Return, NULL, x2[15], x3[15])≥NonInfC∧1275_1_MAIN_INVOKEMETHOD(1522_0_test_Return, NULL, x2[15], x3[15])≥346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(NULL), x2[15], x3[15], NULL)∧(U^Increasing(346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[12]), x1[12], x2[12], x0[12])), ≥))

(339)    (1518_0_test_NULL(x174)=1522_0_test_Return∧0=x173∧820_0_length_NULL(x173, java.lang.Object(List(x174)))=List(x0[0])∧(∀x175,x176,x177,x178:1518_0_test_NULL(x174)=1522_0_test_Return∧0=x175∧820_0_length_NULL(x175, x174)=List(x176) ⇒ 1275_1_MAIN_INVOKEMETHOD(1522_0_test_Return, x174, x177, x178)≥NonInfC∧1275_1_MAIN_INVOKEMETHOD(1522_0_test_Return, x174, x177, x178)≥346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x174), x177, x178, x174)∧(U^Increasing(346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[12]), x1[12], x2[12], x0[12])), ≥)) ⇒ 1275_1_MAIN_INVOKEMETHOD(1522_0_test_Return, java.lang.Object(List(x174)), x2[15], x3[15])≥NonInfC∧1275_1_MAIN_INVOKEMETHOD(1522_0_test_Return, java.lang.Object(List(x174)), x2[15], x3[15])≥346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(java.lang.Object(List(x174))), x2[15], x3[15], java.lang.Object(List(x174)))∧(U^Increasing(346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[12]), x1[12], x2[12], x0[12])), ≥))

We simplified constraint (338) using rules (I), (II), (IV), (REWRITING) which results in the following new constraint:
(340)    (1275_1_MAIN_INVOKEMETHOD(1522_0_test_Return, NULL, x2[15], x3[15])≥NonInfC∧1275_1_MAIN_INVOKEMETHOD(1522_0_test_Return, NULL, x2[15], x3[15])≥346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(NULL), x2[15], x3[15], NULL)∧(U^Increasing(346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[12]), x1[12], x2[12], x0[12])), ≥))

We simplified constraint (339) using rules (VII), (REWRITING) which results in the following new constraint:
(341)    (1518_0_test_NULL(x174)=1522_0_test_Return∧0=x173∧(∀x175,x176,x177,x178:1518_0_test_NULL(x174)=1522_0_test_Return∧0=x175∧820_0_length_NULL(x175, x174)=List(x176) ⇒ 1275_1_MAIN_INVOKEMETHOD(1522_0_test_Return, x174, x177, x178)≥NonInfC∧1275_1_MAIN_INVOKEMETHOD(1522_0_test_Return, x174, x177, x178)≥346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x174), x177, x178, x174)∧(U^Increasing(346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[12]), x1[12], x2[12], x0[12])), ≥))∧>(x173, -1)=x182∧java.lang.Object(List(x174))=x183∧Cond_820_0_length_NULL(x182, x173, x183)=List(x0[0]) ⇒ 1275_1_MAIN_INVOKEMETHOD(1522_0_test_Return, java.lang.Object(List(x174)), x2[15], x3[15])≥NonInfC∧1275_1_MAIN_INVOKEMETHOD(1522_0_test_Return, java.lang.Object(List(x174)), x2[15], x3[15])≥346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(java.lang.Object(List(x174))), x2[15], x3[15], java.lang.Object(List(x174)))∧(U^Increasing(346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[12]), x1[12], x2[12], x0[12])), ≥))

We simplified constraint (340) using rule (POLY_CONSTRAINTS) which results in the following new constraint:
(342)    ((U^Increasing(346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[12]), x1[12], x2[12], x0[12])), ≥)∧[bni_131] = 0∧[(-1)bso_132] ≥ 0)

We simplified constraint (341) using rule (V) (with possible (I) afterwards) using induction on Cond_820_0_length_NULL(x182, x173, x183)=List(x0[0]) which results in the following new constraint:
(343)    (820_0_length_NULL(+(x185, 1), x184)=List(x0[0])∧1518_0_test_NULL(x174)=1522_0_test_Return∧0=x185∧(∀x175,x176,x177,x178:1518_0_test_NULL(x174)=1522_0_test_Return∧0=x175∧820_0_length_NULL(x175, x174)=List(x176) ⇒ 1275_1_MAIN_INVOKEMETHOD(1522_0_test_Return, x174, x177, x178)≥NonInfC∧1275_1_MAIN_INVOKEMETHOD(1522_0_test_Return, x174, x177, x178)≥346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x174), x177, x178, x174)∧(U^Increasing(346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[12]), x1[12], x2[12], x0[12])), ≥))∧>(x185, -1)=TRUE∧java.lang.Object(List(x174))=java.lang.Object(List(x184)) ⇒ 1275_1_MAIN_INVOKEMETHOD(1522_0_test_Return, java.lang.Object(List(x174)), x2[15], x3[15])≥NonInfC∧1275_1_MAIN_INVOKEMETHOD(1522_0_test_Return, java.lang.Object(List(x174)), x2[15], x3[15])≥346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(java.lang.Object(List(x174))), x2[15], x3[15], java.lang.Object(List(x174)))∧(U^Increasing(346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[12]), x1[12], x2[12], x0[12])), ≥))

We simplified constraint (343) using rules (I), (II), (III), (VII), (IDP_CONSTANT_FOLD), (DELETE_TRIVIAL_REDUCESTO) which results in the following new constraint:
(344)    (1518_0_test_NULL(x184)=1522_0_test_Return∧(∀x175,x176,x177,x178:1518_0_test_NULL(x184)=1522_0_test_Return∧0=x175∧820_0_length_NULL(x175, x184)=List(x176) ⇒ 1275_1_MAIN_INVOKEMETHOD(1522_0_test_Return, x184, x177, x178)≥NonInfC∧1275_1_MAIN_INVOKEMETHOD(1522_0_test_Return, x184, x177, x178)≥346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x184), x177, x178, x184)∧(U^Increasing(346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[12]), x1[12], x2[12], x0[12])), ≥))∧820_0_length_NULL(1, x184)=List(x0[0]) ⇒ 1275_1_MAIN_INVOKEMETHOD(1522_0_test_Return, java.lang.Object(List(x184)), x2[15], x3[15])≥NonInfC∧1275_1_MAIN_INVOKEMETHOD(1522_0_test_Return, java.lang.Object(List(x184)), x2[15], x3[15])≥346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(java.lang.Object(List(x184))), x2[15], x3[15], java.lang.Object(List(x184)))∧(U^Increasing(346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[12]), x1[12], x2[12], x0[12])), ≥))

We simplified constraint (344) using rule (POLY_CONSTRAINTS) which results in the following new constraint:
(345)    ((U^Increasing(346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[12]), x1[12], x2[12], x0[12])), ≥)∧0 ≥ 0∧[(-1)bso_132] ≥ 0)

We simplified constraint (342) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:
(346)    ((U^Increasing(346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[12]), x1[12], x2[12], x0[12])), ≥)∧[bni_131] = 0∧[(-1)bso_132] ≥ 0)

We simplified constraint (345) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:
(347)    ((U^Increasing(346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[12]), x1[12], x2[12], x0[12])), ≥)∧0 ≥ 0∧[(-1)bso_132] ≥ 0)

We simplified constraint (346) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:
(348)    ((U^Increasing(346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[12]), x1[12], x2[12], x0[12])), ≥)∧[bni_131] = 0∧[(-1)bso_132] ≥ 0)

We simplified constraint (347) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:
(349)    ((U^Increasing(346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[12]), x1[12], x2[12], x0[12])), ≥)∧0 ≥ 0∧[(-1)bso_132] ≥ 0)

We simplified constraint (348) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:
(350)    ((U^Increasing(346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[12]), x1[12], x2[12], x0[12])), ≥)∧[bni_131] = 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_132] ≥ 0)

We simplified constraint (349) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:
(351)    ((U^Increasing(346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[12]), x1[12], x2[12], x0[12])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_132] ≥ 0)

For Pair 1113_1_MAIN_INVOKEMETHOD(List(x0), x1, x3, x0, java.lang.Object(List(x2))) → 1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x1), x1, x2, x3) the following chains were created:

We consider the chain 1090_1_MAIN_INVOKEMETHOD(List(x0[9]), x2[9], x3[9], x1[9]) → 1113_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[9]), x1[9], x3[9], x0[9], x2[9]), 1113_1_MAIN_INVOKEMETHOD(List(x0[13]), x1[13], x3[13], x0[13], java.lang.Object(List(x2[13]))) → 1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x1[13]), x1[13], x2[13], x3[13]), 1275_1_MAIN_INVOKEMETHOD(1522_0_test_Return, x0[12], x1[12], x2[12]) → 346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[12]), x1[12], x2[12], x0[12]) which results in the following constraint:
(352)    (346_0_length_ConstantStackPush(x2[9])=List(x0[13])∧x1[9]=x1[13]∧x3[9]=x3[13]∧x0[9]=x0[13]∧x2[9]=java.lang.Object(List(x2[13]))∧1275_0_test_Load(x1[13])=1522_0_test_Return∧x1[13]=x0[12]∧x2[13]=x1[12]∧x3[13]=x2[12] ⇒ 1113_1_MAIN_INVOKEMETHOD(List(x0[13]), x1[13], x3[13], x0[13], java.lang.Object(List(x2[13])))≥NonInfC∧1113_1_MAIN_INVOKEMETHOD(List(x0[13]), x1[13], x3[13], x0[13], java.lang.Object(List(x2[13])))≥1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x1[13]), x1[13], x2[13], x3[13])∧(U^Increasing(1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x1[13]), x1[13], x2[13], x3[13])), ≥))

We simplified constraint (352) using rules (III), (IV), (VII), (IDP_CONSTANT_FOLD), (REWRITING) which results in the following new constraint:
(353)    (1518_0_test_NULL(x1[13])=1522_0_test_Return∧1=x187∧820_0_length_NULL(x187, x2[13])=List(x0[9]) ⇒ 1113_1_MAIN_INVOKEMETHOD(List(x0[9]), x1[13], x3[9], x0[9], java.lang.Object(List(x2[13])))≥NonInfC∧1113_1_MAIN_INVOKEMETHOD(List(x0[9]), x1[13], x3[9], x0[9], java.lang.Object(List(x2[13])))≥1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x1[13]), x1[13], x2[13], x3[9])∧(U^Increasing(1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x1[13]), x1[13], x2[13], x3[13])), ≥))

We simplified constraint (353) using rule (V) (with possible (I) afterwards) using induction on 1518_0_test_NULL(x1[13])=1522_0_test_Return which results in the following new constraints:
(354)    (1522_0_test_Return=1522_0_test_Return∧1=x187∧820_0_length_NULL(x187, x2[13])=List(x0[9]) ⇒ 1113_1_MAIN_INVOKEMETHOD(List(x0[9]), NULL, x3[9], x0[9], java.lang.Object(List(x2[13])))≥NonInfC∧1113_1_MAIN_INVOKEMETHOD(List(x0[9]), NULL, x3[9], x0[9], java.lang.Object(List(x2[13])))≥1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(NULL), NULL, x2[13], x3[9])∧(U^Increasing(1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x1[13]), x1[13], x2[13], x3[13])), ≥))

(355)    (1518_0_test_NULL(x188)=1522_0_test_Return∧1=x187∧820_0_length_NULL(x187, x2[13])=List(x0[9])∧(∀x189,x190,x191,x192:1518_0_test_NULL(x188)=1522_0_test_Return∧1=x189∧820_0_length_NULL(x189, x190)=List(x191) ⇒ 1113_1_MAIN_INVOKEMETHOD(List(x191), x188, x192, x191, java.lang.Object(List(x190)))≥NonInfC∧1113_1_MAIN_INVOKEMETHOD(List(x191), x188, x192, x191, java.lang.Object(List(x190)))≥1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x188), x188, x190, x192)∧(U^Increasing(1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x1[13]), x1[13], x2[13], x3[13])), ≥)) ⇒ 1113_1_MAIN_INVOKEMETHOD(List(x0[9]), java.lang.Object(List(x188)), x3[9], x0[9], java.lang.Object(List(x2[13])))≥NonInfC∧1113_1_MAIN_INVOKEMETHOD(List(x0[9]), java.lang.Object(List(x188)), x3[9], x0[9], java.lang.Object(List(x2[13])))≥1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(java.lang.Object(List(x188))), java.lang.Object(List(x188)), x2[13], x3[9])∧(U^Increasing(1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x1[13]), x1[13], x2[13], x3[13])), ≥))

We simplified constraint (354) using rules (I), (II) which results in the following new constraint:
(356)    (1=x187∧820_0_length_NULL(x187, x2[13])=List(x0[9]) ⇒ 1113_1_MAIN_INVOKEMETHOD(List(x0[9]), NULL, x3[9], x0[9], java.lang.Object(List(x2[13])))≥NonInfC∧1113_1_MAIN_INVOKEMETHOD(List(x0[9]), NULL, x3[9], x0[9], java.lang.Object(List(x2[13])))≥1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(NULL), NULL, x2[13], x3[9])∧(U^Increasing(1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x1[13]), x1[13], x2[13], x3[13])), ≥))

We simplified constraint (355) using rule (VI) where we applied the induction hypothesis (∀x189,x190,x191,x192:1518_0_test_NULL(x188)=1522_0_test_Return∧1=x189∧820_0_length_NULL(x189, x190)=List(x191) ⇒ 1113_1_MAIN_INVOKEMETHOD(List(x191), x188, x192, x191, java.lang.Object(List(x190)))≥NonInfC∧1113_1_MAIN_INVOKEMETHOD(List(x191), x188, x192, x191, java.lang.Object(List(x190)))≥1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x188), x188, x190, x192)∧(U^Increasing(1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x1[13]), x1[13], x2[13], x3[13])), ≥)) with σ = [x189 / x187, x190 / x2[13], x191 / x0[9]] which results in the following new constraint:
(357)    (1113_1_MAIN_INVOKEMETHOD(List(x0[9]), x188, x192, x0[9], java.lang.Object(List(x2[13])))≥NonInfC∧1113_1_MAIN_INVOKEMETHOD(List(x0[9]), x188, x192, x0[9], java.lang.Object(List(x2[13])))≥1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x188), x188, x2[13], x192)∧(U^Increasing(1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x1[13]), x1[13], x2[13], x3[13])), ≥) ⇒ 1113_1_MAIN_INVOKEMETHOD(List(x0[9]), java.lang.Object(List(x188)), x3[9], x0[9], java.lang.Object(List(x2[13])))≥NonInfC∧1113_1_MAIN_INVOKEMETHOD(List(x0[9]), java.lang.Object(List(x188)), x3[9], x0[9], java.lang.Object(List(x2[13])))≥1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(java.lang.Object(List(x188))), java.lang.Object(List(x188)), x2[13], x3[9])∧(U^Increasing(1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x1[13]), x1[13], x2[13], x3[13])), ≥))

We simplified constraint (356) using rule (V) (with possible (I) afterwards) using induction on 820_0_length_NULL(x187, x2[13])=List(x0[9]) which results in the following new constraints:
(358)    (List(x195)=List(x0[9])∧1=x195 ⇒ 1113_1_MAIN_INVOKEMETHOD(List(x0[9]), NULL, x3[9], x0[9], java.lang.Object(List(NULL)))≥NonInfC∧1113_1_MAIN_INVOKEMETHOD(List(x0[9]), NULL, x3[9], x0[9], java.lang.Object(List(NULL)))≥1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(NULL), NULL, NULL, x3[9])∧(U^Increasing(1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x1[13]), x1[13], x2[13], x3[13])), ≥))

(359)    (Cond_820_0_length_NULL(>(x197, -1), x197, java.lang.Object(List(x196)))=List(x0[9])∧1=x197 ⇒ 1113_1_MAIN_INVOKEMETHOD(List(x0[9]), NULL, x3[9], x0[9], java.lang.Object(List(java.lang.Object(List(x196)))))≥NonInfC∧1113_1_MAIN_INVOKEMETHOD(List(x0[9]), NULL, x3[9], x0[9], java.lang.Object(List(java.lang.Object(List(x196)))))≥1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(NULL), NULL, java.lang.Object(List(x196)), x3[9])∧(U^Increasing(1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x1[13]), x1[13], x2[13], x3[13])), ≥))

We simplified constraint (358) using rules (I), (II), (III) which results in the following new constraint:
(360)    (1113_1_MAIN_INVOKEMETHOD(List(1), NULL, x3[9], 1, java.lang.Object(List(NULL)))≥NonInfC∧1113_1_MAIN_INVOKEMETHOD(List(1), NULL, x3[9], 1, java.lang.Object(List(NULL)))≥1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(NULL), NULL, NULL, x3[9])∧(U^Increasing(1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x1[13]), x1[13], x2[13], x3[13])), ≥))

We simplified constraint (359) using rules (III), (VII), (IDP_CONSTANT_FOLD) which results in the following new constraint:
(361)    (Cond_820_0_length_NULL(TRUE, 1, java.lang.Object(List(x196)))=List(x0[9]) ⇒ 1113_1_MAIN_INVOKEMETHOD(List(x0[9]), NULL, x3[9], x0[9], java.lang.Object(List(java.lang.Object(List(x196)))))≥NonInfC∧1113_1_MAIN_INVOKEMETHOD(List(x0[9]), NULL, x3[9], x0[9], java.lang.Object(List(java.lang.Object(List(x196)))))≥1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(NULL), NULL, java.lang.Object(List(x196)), x3[9])∧(U^Increasing(1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x1[13]), x1[13], x2[13], x3[13])), ≥))

We simplified constraint (360) using rule (POLY_CONSTRAINTS) which results in the following new constraint:
(362)    ((U^Increasing(1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x1[13]), x1[13], x2[13], x3[13])), ≥)∧[bni_133] = 0∧[(-1)bso_134] ≥ 0)

We simplified constraint (357) using rule (POLY_CONSTRAINTS) which results in the following new constraint:
(363)    ((U^Increasing(1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x1[13]), x1[13], x2[13], x3[13])), ≥)∧[-2] ≥ 0∧[-3] + x188 ≥ 0 ⇒ (U^Increasing(1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x1[13]), x1[13], x2[13], x3[13])), ≥)∧0 ≥ 0∧[-2 + (-1)bso_134] ≥ 0)

We simplified constraint (361) using rule (POLY_CONSTRAINTS) which results in the following new constraint:
(364)    ((U^Increasing(1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x1[13]), x1[13], x2[13], x3[13])), ≥)∧0 ≥ 0∧[(-1)bso_134] ≥ 0)

We simplified constraint (362) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:
(365)    ((U^Increasing(1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x1[13]), x1[13], x2[13], x3[13])), ≥)∧[bni_133] = 0∧[(-1)bso_134] ≥ 0)

We simplified constraint (364) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:
(366)    ((U^Increasing(1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x1[13]), x1[13], x2[13], x3[13])), ≥)∧0 ≥ 0∧[(-1)bso_134] ≥ 0)

We simplified constraint (363) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:
(367)    ((U^Increasing(1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x1[13]), x1[13], x2[13], x3[13])), ≥)∧[-2] ≥ 0∧[-3] + x188 ≥ 0 ⇒ (U^Increasing(1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x1[13]), x1[13], x2[13], x3[13])), ≥)∧0 ≥ 0∧[-2 + (-1)bso_134] ≥ 0)

We simplified constraint (365) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:
(368)    ((U^Increasing(1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x1[13]), x1[13], x2[13], x3[13])), ≥)∧[bni_133] = 0∧[(-1)bso_134] ≥ 0)

We simplified constraint (366) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:
(369)    ((U^Increasing(1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x1[13]), x1[13], x2[13], x3[13])), ≥)∧0 ≥ 0∧[(-1)bso_134] ≥ 0)

We simplified constraint (367) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:
(370)    ((U^Increasing(1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x1[13]), x1[13], x2[13], x3[13])), ≥)∧[-2] ≥ 0∧[-3] + x188 ≥ 0 ⇒ (U^Increasing(1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x1[13]), x1[13], x2[13], x3[13])), ≥)∧0 ≥ 0∧[-2 + (-1)bso_134] ≥ 0)

We simplified constraint (368) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:
(371)    ((U^Increasing(1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x1[13]), x1[13], x2[13], x3[13])), ≥)∧[bni_133] = 0∧0 ≥ 0∧[(-1)bso_134] ≥ 0)

We simplified constraint (369) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:
(372)    ((U^Increasing(1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x1[13]), x1[13], x2[13], x3[13])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_134] ≥ 0)

We simplified constraint (370) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:
(373)    ((U^Increasing(1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x1[13]), x1[13], x2[13], x3[13])), ≥)∧[-2] ≥ 0∧[-3] + x188 ≥ 0 ⇒ (U^Increasing(1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x1[13]), x1[13], x2[13], x3[13])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[-2 + (-1)bso_134] ≥ 0)

We solved constraint (373) using rule (IDP_SMT_SPLIT).

For Pair 1050_1_MAIN_INVOKEMETHOD(List(x0), java.lang.Object(List(x1)), x3, x4, x2) → COND_1050_1_MAIN_INVOKEMETHOD1(>(x4, x0), List(x0), java.lang.Object(List(x1)), x3, x4, x2) the following chains were created:

We consider the chain 1050_1_MAIN_INVOKEMETHOD(List(x0[14]), java.lang.Object(List(x1[14])), x3[14], x4[14], x2[14]) → COND_1050_1_MAIN_INVOKEMETHOD1(>(x4[14], x0[14]), List(x0[14]), java.lang.Object(List(x1[14])), x3[14], x4[14], x2[14]), COND_1050_1_MAIN_INVOKEMETHOD1(TRUE, List(x0[15]), java.lang.Object(List(x1[15])), x3[15], x4[15], x2[15]) → 1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x1[15]), x1[15], x2[15], x3[15]) which results in the following constraint:
(374)    (>(x4[14], x0[14])=TRUE∧List(x0[14])=List(x0[15])∧java.lang.Object(List(x1[14]))=java.lang.Object(List(x1[15]))∧x3[14]=x3[15]∧x4[14]=x4[15]∧x2[14]=x2[15] ⇒ 1050_1_MAIN_INVOKEMETHOD(List(x0[14]), java.lang.Object(List(x1[14])), x3[14], x4[14], x2[14])≥NonInfC∧1050_1_MAIN_INVOKEMETHOD(List(x0[14]), java.lang.Object(List(x1[14])), x3[14], x4[14], x2[14])≥COND_1050_1_MAIN_INVOKEMETHOD1(>(x4[14], x0[14]), List(x0[14]), java.lang.Object(List(x1[14])), x3[14], x4[14], x2[14])∧(U^Increasing(COND_1050_1_MAIN_INVOKEMETHOD1(>(x4[14], x0[14]), List(x0[14]), java.lang.Object(List(x1[14])), x3[14], x4[14], x2[14])), ≥))

We simplified constraint (374) using rules (I), (II), (IV) which results in the following new constraint:
(375)    (>(x4[14], x0[14])=TRUE ⇒ 1050_1_MAIN_INVOKEMETHOD(List(x0[14]), java.lang.Object(List(x1[14])), x3[14], x4[14], x2[14])≥NonInfC∧1050_1_MAIN_INVOKEMETHOD(List(x0[14]), java.lang.Object(List(x1[14])), x3[14], x4[14], x2[14])≥COND_1050_1_MAIN_INVOKEMETHOD1(>(x4[14], x0[14]), List(x0[14]), java.lang.Object(List(x1[14])), x3[14], x4[14], x2[14])∧(U^Increasing(COND_1050_1_MAIN_INVOKEMETHOD1(>(x4[14], x0[14]), List(x0[14]), java.lang.Object(List(x1[14])), x3[14], x4[14], x2[14])), ≥))

We simplified constraint (375) using rule (POLY_CONSTRAINTS) which results in the following new constraint:
(376)    (0 ≥ 0 ⇒ (U^Increasing(COND_1050_1_MAIN_INVOKEMETHOD1(>(x4[14], x0[14]), List(x0[14]), java.lang.Object(List(x1[14])), x3[14], x4[14], x2[14])), ≥)∧[(-1)bni_135 + (-1)Bound*bni_135] ≥ 0∧[(-1)bso_136] ≥ 0)

We simplified constraint (376) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:
(377)    (0 ≥ 0 ⇒ (U^Increasing(COND_1050_1_MAIN_INVOKEMETHOD1(>(x4[14], x0[14]), List(x0[14]), java.lang.Object(List(x1[14])), x3[14], x4[14], x2[14])), ≥)∧[(-1)bni_135 + (-1)Bound*bni_135] ≥ 0∧[(-1)bso_136] ≥ 0)

We simplified constraint (377) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:
(378)    (0 ≥ 0 ⇒ (U^Increasing(COND_1050_1_MAIN_INVOKEMETHOD1(>(x4[14], x0[14]), List(x0[14]), java.lang.Object(List(x1[14])), x3[14], x4[14], x2[14])), ≥)∧[(-1)bni_135 + (-1)Bound*bni_135] ≥ 0∧[(-1)bso_136] ≥ 0)

We simplified constraint (378) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:
(379)    (0 ≥ 0 ⇒ (U^Increasing(COND_1050_1_MAIN_INVOKEMETHOD1(>(x4[14], x0[14]), List(x0[14]), java.lang.Object(List(x1[14])), x3[14], x4[14], x2[14])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bni_135 + (-1)Bound*bni_135] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_136] ≥ 0)

For Pair COND_1050_1_MAIN_INVOKEMETHOD1(TRUE, List(x0), java.lang.Object(List(x1)), x3, x4, x2) → 1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x1), x1, x2, x3) the following chains were created:

We consider the chain 1050_1_MAIN_INVOKEMETHOD(List(x0[14]), java.lang.Object(List(x1[14])), x3[14], x4[14], x2[14]) → COND_1050_1_MAIN_INVOKEMETHOD1(>(x4[14], x0[14]), List(x0[14]), java.lang.Object(List(x1[14])), x3[14], x4[14], x2[14]), COND_1050_1_MAIN_INVOKEMETHOD1(TRUE, List(x0[15]), java.lang.Object(List(x1[15])), x3[15], x4[15], x2[15]) → 1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x1[15]), x1[15], x2[15], x3[15]), 1275_1_MAIN_INVOKEMETHOD(1522_0_test_Return, x0[12], x1[12], x2[12]) → 346_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[12]), x1[12], x2[12], x0[12]) which results in the following constraint:
(380)    (>(x4[14], x0[14])=TRUE∧List(x0[14])=List(x0[15])∧java.lang.Object(List(x1[14]))=java.lang.Object(List(x1[15]))∧x3[14]=x3[15]∧x4[14]=x4[15]∧x2[14]=x2[15]∧1275_0_test_Load(x1[15])=1522_0_test_Return∧x1[15]=x0[12]∧x2[15]=x1[12]∧x3[15]=x2[12] ⇒ COND_1050_1_MAIN_INVOKEMETHOD1(TRUE, List(x0[15]), java.lang.Object(List(x1[15])), x3[15], x4[15], x2[15])≥NonInfC∧COND_1050_1_MAIN_INVOKEMETHOD1(TRUE, List(x0[15]), java.lang.Object(List(x1[15])), x3[15], x4[15], x2[15])≥1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x1[15]), x1[15], x2[15], x3[15])∧(U^Increasing(1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x1[15]), x1[15], x2[15], x3[15])), ≥))

We simplified constraint (380) using rules (I), (II), (III), (IV), (REWRITING) which results in the following new constraint:
(381)    (>(x4[14], x0[14])=TRUE∧1518_0_test_NULL(x1[15])=1522_0_test_Return ⇒ COND_1050_1_MAIN_INVOKEMETHOD1(TRUE, List(x0[14]), java.lang.Object(List(x1[15])), x3[14], x4[14], x2[14])≥NonInfC∧COND_1050_1_MAIN_INVOKEMETHOD1(TRUE, List(x0[14]), java.lang.Object(List(x1[15])), x3[14], x4[14], x2[14])≥1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x1[15]), x1[15], x2[14], x3[14])∧(U^Increasing(1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x1[15]), x1[15], x2[15], x3[15])), ≥))

We simplified constraint (381) using rule (V) (with possible (I) afterwards) using induction on 1518_0_test_NULL(x1[15])=1522_0_test_Return which results in the following new constraints:
(382)    (1522_0_test_Return=1522_0_test_Return∧>(x4[14], x0[14])=TRUE ⇒ COND_1050_1_MAIN_INVOKEMETHOD1(TRUE, List(x0[14]), java.lang.Object(List(NULL)), x3[14], x4[14], x2[14])≥NonInfC∧COND_1050_1_MAIN_INVOKEMETHOD1(TRUE, List(x0[14]), java.lang.Object(List(NULL)), x3[14], x4[14], x2[14])≥1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(NULL), NULL, x2[14], x3[14])∧(U^Increasing(1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x1[15]), x1[15], x2[15], x3[15])), ≥))

(383)    (1518_0_test_NULL(x200)=1522_0_test_Return∧>(x4[14], x0[14])=TRUE∧(∀x201,x202,x203,x204:1518_0_test_NULL(x200)=1522_0_test_Return∧>(x201, x202)=TRUE ⇒ COND_1050_1_MAIN_INVOKEMETHOD1(TRUE, List(x202), java.lang.Object(List(x200)), x203, x201, x204)≥NonInfC∧COND_1050_1_MAIN_INVOKEMETHOD1(TRUE, List(x202), java.lang.Object(List(x200)), x203, x201, x204)≥1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x200), x200, x204, x203)∧(U^Increasing(1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x1[15]), x1[15], x2[15], x3[15])), ≥)) ⇒ COND_1050_1_MAIN_INVOKEMETHOD1(TRUE, List(x0[14]), java.lang.Object(List(java.lang.Object(List(x200)))), x3[14], x4[14], x2[14])≥NonInfC∧COND_1050_1_MAIN_INVOKEMETHOD1(TRUE, List(x0[14]), java.lang.Object(List(java.lang.Object(List(x200)))), x3[14], x4[14], x2[14])≥1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(java.lang.Object(List(x200))), java.lang.Object(List(x200)), x2[14], x3[14])∧(U^Increasing(1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x1[15]), x1[15], x2[15], x3[15])), ≥))

We simplified constraint (382) using rules (I), (II) which results in the following new constraint:
(384)    (>(x4[14], x0[14])=TRUE ⇒ COND_1050_1_MAIN_INVOKEMETHOD1(TRUE, List(x0[14]), java.lang.Object(List(NULL)), x3[14], x4[14], x2[14])≥NonInfC∧COND_1050_1_MAIN_INVOKEMETHOD1(TRUE, List(x0[14]), java.lang.Object(List(NULL)), x3[14], x4[14], x2[14])≥1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(NULL), NULL, x2[14], x3[14])∧(U^Increasing(1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x1[15]), x1[15], x2[15], x3[15])), ≥))

We simplified constraint (383) using rule (VI) where we applied the induction hypothesis (∀x201,x202,x203,x204:1518_0_test_NULL(x200)=1522_0_test_Return∧>(x201, x202)=TRUE ⇒ COND_1050_1_MAIN_INVOKEMETHOD1(TRUE, List(x202), java.lang.Object(List(x200)), x203, x201, x204)≥NonInfC∧COND_1050_1_MAIN_INVOKEMETHOD1(TRUE, List(x202), java.lang.Object(List(x200)), x203, x201, x204)≥1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x200), x200, x204, x203)∧(U^Increasing(1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x1[15]), x1[15], x2[15], x3[15])), ≥)) with σ = [x201 / x4[14], x202 / x0[14]] which results in the following new constraint:
(385)    (COND_1050_1_MAIN_INVOKEMETHOD1(TRUE, List(x0[14]), java.lang.Object(List(x200)), x203, x4[14], x204)≥NonInfC∧COND_1050_1_MAIN_INVOKEMETHOD1(TRUE, List(x0[14]), java.lang.Object(List(x200)), x203, x4[14], x204)≥1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x200), x200, x204, x203)∧(U^Increasing(1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x1[15]), x1[15], x2[15], x3[15])), ≥) ⇒ COND_1050_1_MAIN_INVOKEMETHOD1(TRUE, List(x0[14]), java.lang.Object(List(java.lang.Object(List(x200)))), x3[14], x4[14], x2[14])≥NonInfC∧COND_1050_1_MAIN_INVOKEMETHOD1(TRUE, List(x0[14]), java.lang.Object(List(java.lang.Object(List(x200)))), x3[14], x4[14], x2[14])≥1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(java.lang.Object(List(x200))), java.lang.Object(List(x200)), x2[14], x3[14])∧(U^Increasing(1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x1[15]), x1[15], x2[15], x3[15])), ≥))

We simplified constraint (384) using rule (POLY_CONSTRAINTS) which results in the following new constraint:
(386)    (0 ≥ 0 ⇒ (U^Increasing(1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x1[15]), x1[15], x2[15], x3[15])), ≥)∧[(-1)bni_137 + (-1)Bound*bni_137] ≥ 0∧[(-1)bso_138] ≥ 0)

We simplified constraint (385) using rule (POLY_CONSTRAINTS) which results in the following new constraint:
(387)    ((U^Increasing(1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x1[15]), x1[15], x2[15], x3[15])), ≥)∧[-2] ≥ 0∧[-3] + x200 ≥ 0 ⇒ (U^Increasing(1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x1[15]), x1[15], x2[15], x3[15])), ≥)∧[(-1)bni_137 + (-1)Bound*bni_137] ≥ 0∧[-2 + (-1)bso_138] ≥ 0)

We simplified constraint (386) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:
(388)    (0 ≥ 0 ⇒ (U^Increasing(1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x1[15]), x1[15], x2[15], x3[15])), ≥)∧[(-1)bni_137 + (-1)Bound*bni_137] ≥ 0∧[(-1)bso_138] ≥ 0)

We simplified constraint (387) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:
(389)    ((U^Increasing(1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x1[15]), x1[15], x2[15], x3[15])), ≥)∧[-2] ≥ 0∧[-3] + x200 ≥ 0 ⇒ (U^Increasing(1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x1[15]), x1[15], x2[15], x3[15])), ≥)∧[(-1)bni_137 + (-1)Bound*bni_137] ≥ 0∧[-2 + (-1)bso_138] ≥ 0)

We simplified constraint (388) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:
(390)    (0 ≥ 0 ⇒ (U^Increasing(1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x1[15]), x1[15], x2[15], x3[15])), ≥)∧[(-1)bni_137 + (-1)Bound*bni_137] ≥ 0∧[(-1)bso_138] ≥ 0)

We simplified constraint (389) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:
(391)    ((U^Increasing(1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x1[15]), x1[15], x2[15], x3[15])), ≥)∧[-2] ≥ 0∧[-3] + x200 ≥ 0 ⇒ (U^Increasing(1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x1[15]), x1[15], x2[15], x3[15])), ≥)∧[(-1)bni_137 + (-1)Bound*bni_137] ≥ 0∧[-2 + (-1)bso_138] ≥ 0)

We simplified constraint (390) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:
(392)    (0 ≥ 0 ⇒ (U^Increasing(1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x1[15]), x1[15], x2[15], x3[15])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bni_137 + (-1)Bound*bni_137] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_138] ≥ 0)

We simplified constraint (391) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:
(393)    ((U^Increasing(1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x1[15]), x1[15], x2[15], x3[15])), ≥)∧[-2] ≥ 0∧[-3] + x200 ≥ 0 ⇒ (U^Increasing(1275_1_MAIN_INVOKEMETHOD(1275_0_test_Load(x1[15]), x1[15], x2[15], x3[15])), ≥)∧0 ≥ 0∧0 ≥ 0∧[(-1)bni_137 + (-1)Bound*bni_137] ≥ 0∧0 ≥ 0∧0 ≥ 0∧[-2 + (-1)bso_138] ≥ 0)

We solved constraint (393) using rule (IDP_SMT_SPLIT).

For Pair 923_0_MAIN_NE(x0, x1, java.lang.Object(List(x2)), 0) → 1020_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0), x1, x2, x0) the following chains were created:

We consider the chain 896_1_MAIN_INVOKEMETHOD(List(x0[3]), x1[3], x2[3], x3[3]) → 923_0_MAIN_NE(x1[3], x2[3], x3[3], fresh2[3]), 923_0_MAIN_NE(x0[16], x1[16], java.lang.Object(List(x2[16])), 0) → 1020_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[16]), x1[16], x2[16], x0[16]), 1020_1_MAIN_INVOKEMETHOD(List(x0[6]), x2[6], x3[6], x1[6]) → 1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6]) which results in the following constraint:
(394)    (x1[3]=x0[16]∧x2[3]=x1[16]∧x3[3]=java.lang.Object(List(x2[16]))∧fresh2[3]=0∧346_0_length_ConstantStackPush(x0[16])=List(x0[6])∧x1[16]=x2[6]∧x2[16]=x3[6]∧x0[16]=x1[6] ⇒ 923_0_MAIN_NE(x0[16], x1[16], java.lang.Object(List(x2[16])), 0)≥NonInfC∧923_0_MAIN_NE(x0[16], x1[16], java.lang.Object(List(x2[16])), 0)≥1020_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[16]), x1[16], x2[16], x0[16])∧(U^Increasing(1020_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[16]), x1[16], x2[16], x0[16])), ≥))

We simplified constraint (394) using rules (III), (IV), (VII), (REWRITING) which results in the following new constraint:
(395)    (0=x208∧820_0_length_NULL(x208, x0[16])=List(x0[6]) ⇒ 923_0_MAIN_NE(x0[16], x2[3], java.lang.Object(List(x2[16])), 0)≥NonInfC∧923_0_MAIN_NE(x0[16], x2[3], java.lang.Object(List(x2[16])), 0)≥1020_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[16]), x2[3], x2[16], x0[16])∧(U^Increasing(1020_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[16]), x1[16], x2[16], x0[16])), ≥))

We simplified constraint (395) using rule (V) (with possible (I) afterwards) using induction on 820_0_length_NULL(x208, x0[16])=List(x0[6]) which results in the following new constraints:
(396)    (List(x209)=List(x0[6])∧0=x209 ⇒ 923_0_MAIN_NE(NULL, x2[3], java.lang.Object(List(x2[16])), 0)≥NonInfC∧923_0_MAIN_NE(NULL, x2[3], java.lang.Object(List(x2[16])), 0)≥1020_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(NULL), x2[3], x2[16], NULL)∧(U^Increasing(1020_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[16]), x1[16], x2[16], x0[16])), ≥))

(397)    (Cond_820_0_length_NULL(>(x211, -1), x211, java.lang.Object(List(x210)))=List(x0[6])∧0=x211 ⇒ 923_0_MAIN_NE(java.lang.Object(List(x210)), x2[3], java.lang.Object(List(x2[16])), 0)≥NonInfC∧923_0_MAIN_NE(java.lang.Object(List(x210)), x2[3], java.lang.Object(List(x2[16])), 0)≥1020_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(java.lang.Object(List(x210))), x2[3], x2[16], java.lang.Object(List(x210)))∧(U^Increasing(1020_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[16]), x1[16], x2[16], x0[16])), ≥))

We simplified constraint (396) using rules (I), (II), (IV) which results in the following new constraint:
(398)    (923_0_MAIN_NE(NULL, x2[3], java.lang.Object(List(x2[16])), 0)≥NonInfC∧923_0_MAIN_NE(NULL, x2[3], java.lang.Object(List(x2[16])), 0)≥1020_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(NULL), x2[3], x2[16], NULL)∧(U^Increasing(1020_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[16]), x1[16], x2[16], x0[16])), ≥))

We simplified constraint (397) using rules (III), (VII), (IDP_CONSTANT_FOLD) which results in the following new constraint:
(399)    (Cond_820_0_length_NULL(TRUE, 0, java.lang.Object(List(x210)))=List(x0[6]) ⇒ 923_0_MAIN_NE(java.lang.Object(List(x210)), x2[3], java.lang.Object(List(x2[16])), 0)≥NonInfC∧923_0_MAIN_NE(java.lang.Object(List(x210)), x2[3], java.lang.Object(List(x2[16])), 0)≥1020_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(java.lang.Object(List(x210))), x2[3], x2[16], java.lang.Object(List(x210)))∧(U^Increasing(1020_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[16]), x1[16], x2[16], x0[16])), ≥))

We simplified constraint (398) using rule (POLY_CONSTRAINTS) which results in the following new constraint:
(400)    ((U^Increasing(1020_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[16]), x1[16], x2[16], x0[16])), ≥)∧[bni_139] = 0∧[(-1)bso_140] ≥ 0)

We simplified constraint (399) using rule (POLY_CONSTRAINTS) which results in the following new constraint:
(401)    ((U^Increasing(1020_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[16]), x1[16], x2[16], x0[16])), ≥)∧0 ≥ 0∧[(-1)bso_140] ≥ 0)

We simplified constraint (400) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:
(402)    ((U^Increasing(1020_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[16]), x1[16], x2[16], x0[16])), ≥)∧[bni_139] = 0∧[(-1)bso_140] ≥ 0)

We simplified constraint (401) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:
(403)    ((U^Increasing(1020_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[16]), x1[16], x2[16], x0[16])), ≥)∧0 ≥ 0∧[(-1)bso_140] ≥ 0)

We simplified constraint (402) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:
(404)    ((U^Increasing(1020_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[16]), x1[16], x2[16], x0[16])), ≥)∧[bni_139] = 0∧[(-1)bso_140] ≥ 0)

We simplified constraint (403) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:
(405)    ((U^Increasing(1020_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[16]), x1[16], x2[16], x0[16])), ≥)∧0 ≥ 0∧[(-1)bso_140] ≥ 0)

We simplified constraint (404) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:
(406)    ((U^Increasing(1020_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[16]), x1[16], x2[16], x0[16])), ≥)∧[bni_139] = 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_140] ≥ 0)

We simplified constraint (405) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:
(407)    ((U^Increasing(1020_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[16]), x1[16], x2[16], x0[16])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_140] ≥ 0)
We consider the chain 937_1_MAIN_INVOKEMETHOD(List(x0[18]), x1[18], x2[18], java.lang.Object(List(x3[18]))) → 923_0_MAIN_NE(x1[18], x2[18], java.lang.Object(List(x3[18])), fresh2[18]), 923_0_MAIN_NE(x0[16], x1[16], java.lang.Object(List(x2[16])), 0) → 1020_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[16]), x1[16], x2[16], x0[16]), 1020_1_MAIN_INVOKEMETHOD(List(x0[6]), x2[6], x3[6], x1[6]) → 1050_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x2[6]), x1[6], x3[6], x0[6], x2[6]) which results in the following constraint:
(408)    (x1[18]=x0[16]∧x2[18]=x1[16]∧java.lang.Object(List(x3[18]))=java.lang.Object(List(x2[16]))∧fresh2[18]=0∧346_0_length_ConstantStackPush(x0[16])=List(x0[6])∧x1[16]=x2[6]∧x2[16]=x3[6]∧x0[16]=x1[6] ⇒ 923_0_MAIN_NE(x0[16], x1[16], java.lang.Object(List(x2[16])), 0)≥NonInfC∧923_0_MAIN_NE(x0[16], x1[16], java.lang.Object(List(x2[16])), 0)≥1020_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[16]), x1[16], x2[16], x0[16])∧(U^Increasing(1020_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[16]), x1[16], x2[16], x0[16])), ≥))

We simplified constraint (408) using rules (I), (II), (III), (IV), (VII), (REWRITING) which results in the following new constraint:
(409)    (0=x214∧820_0_length_NULL(x214, x0[16])=List(x0[6]) ⇒ 923_0_MAIN_NE(x0[16], x2[18], java.lang.Object(List(x3[18])), 0)≥NonInfC∧923_0_MAIN_NE(x0[16], x2[18], java.lang.Object(List(x3[18])), 0)≥1020_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[16]), x2[18], x3[18], x0[16])∧(U^Increasing(1020_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[16]), x1[16], x2[16], x0[16])), ≥))

We simplified constraint (409) using rule (V) (with possible (I) afterwards) using induction on 820_0_length_NULL(x214, x0[16])=List(x0[6]) which results in the following new constraints:
(410)    (List(x215)=List(x0[6])∧0=x215 ⇒ 923_0_MAIN_NE(NULL, x2[18], java.lang.Object(List(x3[18])), 0)≥NonInfC∧923_0_MAIN_NE(NULL, x2[18], java.lang.Object(List(x3[18])), 0)≥1020_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(NULL), x2[18], x3[18], NULL)∧(U^Increasing(1020_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[16]), x1[16], x2[16], x0[16])), ≥))

(411)    (Cond_820_0_length_NULL(>(x217, -1), x217, java.lang.Object(List(x216)))=List(x0[6])∧0=x217 ⇒ 923_0_MAIN_NE(java.lang.Object(List(x216)), x2[18], java.lang.Object(List(x3[18])), 0)≥NonInfC∧923_0_MAIN_NE(java.lang.Object(List(x216)), x2[18], java.lang.Object(List(x3[18])), 0)≥1020_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(java.lang.Object(List(x216))), x2[18], x3[18], java.lang.Object(List(x216)))∧(U^Increasing(1020_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[16]), x1[16], x2[16], x0[16])), ≥))

We simplified constraint (410) using rules (I), (II), (IV) which results in the following new constraint:
(412)    (923_0_MAIN_NE(NULL, x2[18], java.lang.Object(List(x3[18])), 0)≥NonInfC∧923_0_MAIN_NE(NULL, x2[18], java.lang.Object(List(x3[18])), 0)≥1020_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(NULL), x2[18], x3[18], NULL)∧(U^Increasing(1020_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[16]), x1[16], x2[16], x0[16])), ≥))

We simplified constraint (411) using rules (III), (VII), (IDP_CONSTANT_FOLD) which results in the following new constraint:
(413)    (Cond_820_0_length_NULL(TRUE, 0, java.lang.Object(List(x216)))=List(x0[6]) ⇒ 923_0_MAIN_NE(java.lang.Object(List(x216)), x2[18], java.lang.Object(List(x3[18])), 0)≥NonInfC∧923_0_MAIN_NE(java.lang.Object(List(x216)), x2[18], java.lang.Object(List(x3[18])), 0)≥1020_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(java.lang.Object(List(x216))), x2[18], x3[18], java.lang.Object(List(x216)))∧(U^Increasing(1020_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[16]), x1[16], x2[16], x0[16])), ≥))

We simplified constraint (412) using rule (POLY_CONSTRAINTS) which results in the following new constraint:
(414)    ((U^Increasing(1020_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[16]), x1[16], x2[16], x0[16])), ≥)∧[bni_139] = 0∧[(-1)bso_140] ≥ 0)

We simplified constraint (413) using rule (POLY_CONSTRAINTS) which results in the following new constraint:
(415)    ((U^Increasing(1020_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[16]), x1[16], x2[16], x0[16])), ≥)∧0 ≥ 0∧[(-1)bso_140] ≥ 0)

We simplified constraint (414) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:
(416)    ((U^Increasing(1020_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[16]), x1[16], x2[16], x0[16])), ≥)∧[bni_139] = 0∧[(-1)bso_140] ≥ 0)

We simplified constraint (415) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:
(417)    ((U^Increasing(1020_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[16]), x1[16], x2[16], x0[16])), ≥)∧0 ≥ 0∧[(-1)bso_140] ≥ 0)

We simplified constraint (416) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:
(418)    ((U^Increasing(1020_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[16]), x1[16], x2[16], x0[16])), ≥)∧[bni_139] = 0∧[(-1)bso_140] ≥ 0)

We simplified constraint (417) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:
(419)    ((U^Increasing(1020_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[16]), x1[16], x2[16], x0[16])), ≥)∧0 ≥ 0∧[(-1)bso_140] ≥ 0)

We simplified constraint (418) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:
(420)    ((U^Increasing(1020_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[16]), x1[16], x2[16], x0[16])), ≥)∧[bni_139] = 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_140] ≥ 0)

We simplified constraint (419) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:
(421)    ((U^Increasing(1020_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x0[16]), x1[16], x2[16], x0[16])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_140] ≥ 0)

For Pair 845_1_MAIN_INVOKEMETHOD(List(x0), x1, java.lang.Object(List(x3)), x2) → 937_1_MAIN_INVOKEMETHOD(937_0_length_ConstantStackPush(java.lang.Object(List(x3))), x1, x2, java.lang.Object(List(x3))) the following chains were created:

We consider the chain COND_346_1_MAIN_INVOKEMETHOD(TRUE, List(x0[1]), x2[1], x3[1], x1[1]) → 845_1_MAIN_INVOKEMETHOD(346_0_length_ConstantStackPush(x3[1]), x2[1], x1[1], x3[1]), 845_1_MAIN_INVOKEMETHOD(List(x0[17]), x1[17], java.lang.Object(List(x3[17])), x2[17]) → 937_1_MAIN_INVOKEMETHOD(937_0_length_ConstantStackPush(java.lang.Object(List(x3[17]))), x1[17], x2[17], java.lang.Object(List(x3[17]))), 937_1_MAIN_INVOKEMETHOD(List(x0[18]), x1[18], x2[18], java.lang.Object(List(x3[18]))) → 923_0_MAIN_NE(x1[18], x2[18], java.lang.Object(List(x3[18])), fresh2[18]) which results in the following constraint:
(422)    (346_0_length_ConstantStackPush(x3[1])=List(x0[17])∧x2[1]=x1[17]∧x1[1]=java.lang.Object(List(x3[17]))∧x3[1]=x2[17]∧937_0_length_ConstantStackPush(java.lang.Object(List(x3[17])))=List(x0[18])∧x1[17]=x1[18]∧x2[17]=x2[18]∧java.lang.Object(List(x3[17]))=java.lang.Object(List(x3[18])) ⇒ 845_1_MAIN_INVOKEMETHOD(List(x0[17]), x1[17], java.lang.Object(List(x3[17])), x2[17])≥NonInfC∧845_1_MAIN_INVOKEMETHOD(List(x0[17]), x1[17], java.lang.Object(List(x3[17])), x2[17])≥937_1_MAIN_INVOKEMETHOD(937_0_length_ConstantStackPush(java.lang.Object(List(x3[17]))), x1[17], x2[17], java.lang.Object(List(x3[17])))∧(U^Increasing(937_1_MAIN_INVOKEMETHOD(937_0_length_ConstantStackPush(java.lang.Object(List(x3[17]))), x1[17], x2[17], java.lang.Object(List(x3[17])))), ≥))

We simplified constraint (422) using rules (I), (II), (III), (IV), (VII), (IDP_CONSTANT_FOLD), (REWRITING) which results in the following new constraint:
(423)    (0=x220∧820_0_length_NULL(x220, x3[1])=List(x0[17])∧1=x221∧820_0_length_NULL(x221, x3[17])=List(x0[18]) ⇒ 845_1_MAIN_INVOKEMETHOD(List(x0[17]), x2[1], java.lang.Object(List(x3[17])), x3[1])≥NonInfC∧845_1_MAIN_INVOKEMETHOD(List(x0[17]), x2[1], java.lang.Object(List(x3[17])), x3[1])≥937_1_MAIN_INVOKEMETHOD(937_0_length_ConstantStackPush(java.lang.Object(List(x3[17]))), x2[1], x3[1], java.lang.Object(List(x3[17])))∧(U^Increasing(937_1_MAIN_INVOKEMETHOD(937_0_length_ConstantStackPush(java.lang.Object(List(x3[17]))), x1[17], x2[17], java.lang.Object(List(x3[17])))), ≥))

We simplified constraint (423) using rule (V) (with possible (I) afterwards) using induction on 820_0_length_NULL(x220, x3[1])=List(x0[17]) which results in the following new constraints:
(424)    (List(x222)=List(x0[17])∧0=x222∧1=x221∧820_0_length_NULL(x221, x3[17])=List(x0[18]) ⇒ 845_1_MAIN_INVOKEMETHOD(List(x0[17]), x2[1], java.lang.Object(List(x3[17])), NULL)≥NonInfC∧845_1_MAIN_INVOKEMETHOD(List(x0[17]), x2[1], java.lang.Object(List(x3[17])), NULL)≥937_1_MAIN_INVOKEMETHOD(937_0_length_ConstantStackPush(java.lang.Object(List(x3[17]))), x2[1], NULL, java.lang.Object(List(x3[17])))∧(U^Increasing(937_1_MAIN_INVOKEMETHOD(937_0_length_ConstantStackPush(java.lang.Object(List(x3[17]))), x1[17], x2[17], java.lang.Object(List(x3[17])))), ≥))

(425)    (Cond_820_0_length_NULL(>(x224, -1), x224, java.lang.Object(List(x223)))=List(x0[17])∧0=x224∧1=x221∧820_0_length_NULL(x221, x3[17])=List(x0[18]) ⇒ 845_1_MAIN_INVOKEMETHOD(List(x0[17]), x2[1], java.lang.Object(List(x3[17])), java.lang.Object(List(x223)))≥NonInfC∧845_1_MAIN_INVOKEMETHOD(List(x0[17]), x2[1], java.lang.Object(List(x3[17])), java.lang.Object(List(x223)))≥937_1_MAIN_INVOKEMETHOD(937_0_length_ConstantStackPush(java.lang.Object(List(x3[17]))), x2[1], java.lang.Object(List(x223)), java.lang.Object(List(x3[17])))∧(U^Increasing(937_1_MAIN_INVOKEMETHOD(937_0_length_ConstantStackPush(java.lang.Object(List(x3[17]))), x1[17], x2[17], java.lang.Object(List(x3[17])))), ≥))

We simplified constraint (424) using rules (I), (II), (III) which results in the following new constraint:
(426)    (1=x221∧820_0_length_NULL(x221, x3[17])=List(x0[18]) ⇒ 845_1_MAIN_INVOKEMETHOD(List(0), x2[1], java.lang.Object(List(x3[17])), NULL)≥NonInfC∧845_1_MAIN_INVOKEMETHOD(List(0), x2[1], java.lang.Object(List(x3[17])), NULL)≥937_1_MAIN_INVOKEMETHOD(937_0_length_ConstantStackPush(java.lang.Object(List(x3[17]))), x2[1], NULL, java.lang.Object(List(x3[17])))∧(U^Increasing(937_1_MAIN_INVOKEMETHOD(937_0_length_ConstantStackPush(java.lang.Object(List(x3[17]))), x1[17], x2[17], java.lang.Object(List(x3[17])))), ≥))

We simplified constraint (425) using rule (VII) which results in the following new constraint:
(427)    (>(x224, -1)=x230∧java.lang.Object(List(x223))=x231∧Cond_820_0_length_NULL(x230, x224, x231)=List(x0[17])∧0=x224∧1=x221∧820_0_length_NULL(x221, x3[17])=List(x0[18]) ⇒ 845_1_MAIN_INVOKEMETHOD(List(x0[17]), x2[1], java.lang.Object(List(x3[17])), java.lang.Object(List(x223)))≥NonInfC∧845_1_MAIN_INVOKEMETHOD(List(x0[17]), x2[1], java.lang.Object(List(x3[17])), java.lang.Object(List(x223)))≥937_1_MAIN_INVOKEMETHOD(937_0_length_ConstantStackPush(java.lang.Object(List(x3[17]))), x2[1], java.lang.Object(List(x223)), java.lang.Object(List(x3[17])))∧(U^Increasing(937_1_MAIN_INVOKEMETHOD(937_0_length_ConstantStackPush(java.lang.Object(List(x3[17]))), x1[17], x2[17], java.lang.Object(List(x3[17])))), ≥))

We simplified constraint (426) using rule (V) (with possible (I) afterwards) using induction on 820_0_length_NULL(x221, x3[17])=List(x0[18]) which results in the following new constraints:
(428)    (List(x225)=List(x0[18])∧1=x225 ⇒ 845_1_MAIN_INVOKEMETHOD(List(0), x2[1], java.lang.Object(List(NULL)), NULL)≥NonInfC∧845_1_MAIN_INVOKEMETHOD(List(0), x2[1], java.lang.Object(List(NULL)), NULL)≥937_1_MAIN_INVOKEMETHOD(937_0_length_ConstantStackPush(java.lang.Object(List(NULL))), x2[1], NULL, java.lang.Object(List(NULL)))∧(U^Increasing(937_1_MAIN_INVOKEMETHOD(937_0_length_ConstantStackPush(java.lang.Object(List(x3[17]))), x1[17], x2[17], java.lang.Object(List(x3[17])))), ≥))

(429)    (Cond_820_0_length_NULL(>(x227, -1), x227, java.lang.Object(List(x226)))=List(x0[18])∧1=x227 ⇒ 845_1_MAIN_INVOKEMETHOD(List(0), x2[1], java.lang.Object(List(java.lang.Object(List(x226)))), NULL)≥NonInfC∧845_1_MAIN_INVOKEMETHOD(List(0), x2[1], java.lang.Object(List(java.lang.Object(List(x226)))), NULL)≥937_1_MAIN_INVOKEMETHOD(937_0_length_ConstantStackPush(java.lang.Object(List(java.lang.Object(List(x226))))), x2[1], NULL, java.lang.Object(List(java.lang.Object(List(x226)))))∧(U^Increasing(937_1_MAIN_INVOKEMETHOD(937_0_length_ConstantStackPush(java.lang.Object(List(x3[17]))), x1[17], x2[17], java.lang.Object(List(x3[17])))), ≥))

We simplified constraint (428) using rules (I), (II), (IV) which results in the following new constraint:
(430)    (845_1_MAIN_INVOKEMETHOD(List(0), x2[1], java.lang.Object(List(NULL)), NULL)≥NonInfC∧845_1_MAIN_INVOKEMETHOD(List(0), x2[1], java.lang.Object(List(NULL)), NULL)≥937_1_MAIN_INVOKEMETHOD(937_0_length_ConstantStackPush(java.lang.Object(List(NULL))), x2[1], NULL, java.lang.Object(List(NULL)))∧(U^Increasing(937_1_MAIN_INVOKEMETHOD(937_0_length_ConstantStackPush(java.lang.Object(List(x3[17]))), x1[17], x2[17], java.lang.Object(List(x3[17])))), ≥))

We simplified constraint (429) using rules (III), (VII), (IDP_CONSTANT_FOLD) which results in the following new constraint:
(431)    (Cond_820_0_length_NULL(TRUE, 1, java.lang.Object(List(x226)))=List(x0[18])