Termination proof of /tmp/tmpifh8

Termination of the given JBC could be proven:

0 JBC

↳1 JBCToGraph (⇒, 530 ms)

↳2 JBCTerminationGraph

↳3 TerminationGraphToSCCProof (⇒, 0 ms)

↳4 AND

    ↳5 JBCTerminationSCC

        ↳6 SCCToIDPv1Proof (⇒, 1540 ms)

        ↳7 IDP

        ↳8 IDPNonInfProof (⇒, 660 ms)

        ↳9 IDP

        ↳10 IDependencyGraphProof (⇔, 0 ms)

        ↳11 TRUE

    ↳12 JBCTerminationSCC

        ↳13 SCCToIDPv1Proof (⇒, 130 ms)

        ↳14 IDP

        ↳15 IDPtoQDPProof (⇒, 0 ms)

        ↳16 QDP

        ↳17 QDPSizeChangeProof (⇔, 0 ms)

        ↳18 YES

    ↳19 JBCTerminationSCC

        ↳20 SCCToIDPv1Proof (⇒, 120 ms)

        ↳21 IDP

        ↳22 IDPNonInfProof (⇒, 150 ms)

        ↳23 AND

            ↳24 IDP

                ↳25 IDependencyGraphProof (⇔, 0 ms)

                ↳26 TRUE

            ↳27 IDP

                ↳28 IDependencyGraphProof (⇔, 0 ms)

                ↳29 TRUE

    ↳30 JBCTerminationSCC

        ↳31 SCCToIDPv1Proof (⇒, 2190 ms)

        ↳32 IDP

        ↳33 IDPNonInfProof (⇒, 2260 ms)

        ↳34 IDP

        ↳35 IDependencyGraphProof (⇔, 0 ms)

        ↳36 IDP

        ↳37 UsableRulesProof (⇔, 0 ms)

        ↳38 IDP

        ↳39 IDPNonInfProof (⇒, 320 ms)

        ↳40 AND

            ↳41 IDP

                ↳42 IDependencyGraphProof (⇔, 0 ms)

                ↳43 TRUE

            ↳44 IDP

                ↳45 IDependencyGraphProof (⇔, 0 ms)

                ↳46 TRUE

(0) Obligation:

JBC Problem based on JBC Program:
Manifest-Version: 1.0 Created-By: 1.6.0_20 (Apple Inc.) Main-Class: Test7

public class Test7 {
    public static void main(String[] args) {
	List[] ls = { List.mk(args.length), List.mk(args.length), List.mk(args.length) };

	for (int k = 0; k < ls.length; k++) {
	    int len = length(ls[0]);
	    for (int i = 0; i < len; i++)
		bubble(ls[0]);
	}
    }

    private static void bubble(List l) {
	for (List cursor = l; cursor != null && cursor.getTail() != null; cursor = cursor.getTail())
	    if (cursor.head > cursor.getTail().head) {
		int temp = cursor.head;
		cursor.head = cursor.getTail().head;
		cursor.getTail().head = temp;
	    }
    }

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

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

	return len;
    }
}

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

    public List(int 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(len, result);

	return result;
    }
}

(1) JBCToGraph (SOUND transformation)

Constructed TerminationGraph.

(2) Obligation:

Termination Graph based on JBC Program:
Test7.main([Ljava/lang/String;)V: Graph of 105 nodes with 1 SCC.

List.mk(I)LList;: Graph of 31 nodes with 1 SCC.

Test7.length(LList;)I: Graph of 31 nodes with 1 SCC.

Test7.bubble(LList;)V: Graph of 138 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: Test7.bubble(LList;)V
SCC calls the following helper methods:
Performed SCC analyses: UsedFieldsAnalysis

(6) SCCToIDPv1Proof (SOUND transformation)

Transformed FIGraph SCCs to IDPs. Log:

Generated 131 rules for P and 0 rules for R.

P rules:
1629_0_bubble_NULL(EOS(STATIC_1629), java.lang.Object(o1109sub), java.lang.Object(o1109sub)) → 1630_0_bubble_NULL(EOS(STATIC_1630), java.lang.Object(o1109sub), java.lang.Object(o1109sub))
1630_0_bubble_NULL(EOS(STATIC_1630), java.lang.Object(o1109sub), java.lang.Object(o1109sub)) → 1633_0_bubble_Load(EOS(STATIC_1633), java.lang.Object(o1109sub))
1633_0_bubble_Load(EOS(STATIC_1633), java.lang.Object(o1109sub)) → 1636_0_bubble_InvokeMethod(EOS(STATIC_1636), java.lang.Object(o1109sub), java.lang.Object(o1109sub))
1636_0_bubble_InvokeMethod(EOS(STATIC_1636), java.lang.Object(o1109sub), java.lang.Object(o1109sub)) → 1638_0_getTail_Load(EOS(STATIC_1638), java.lang.Object(o1109sub), java.lang.Object(o1109sub), java.lang.Object(o1109sub))
1638_0_getTail_Load(EOS(STATIC_1638), java.lang.Object(o1109sub), java.lang.Object(o1109sub), java.lang.Object(o1109sub)) → 1645_0_getTail_FieldAccess(EOS(STATIC_1645), java.lang.Object(o1109sub), java.lang.Object(o1109sub), java.lang.Object(o1109sub))
1645_0_getTail_FieldAccess(EOS(STATIC_1645), java.lang.Object(o1109sub), java.lang.Object(o1109sub), java.lang.Object(o1109sub)) → 1647_0_getTail_FieldAccess(EOS(STATIC_1647), java.lang.Object(o1109sub), java.lang.Object(o1109sub), java.lang.Object(o1109sub))
1645_0_getTail_FieldAccess(EOS(STATIC_1645), java.lang.Object(o1109sub), java.lang.Object(o1109sub), java.lang.Object(o1109sub)) → 1648_0_getTail_FieldAccess(EOS(STATIC_1648), java.lang.Object(o1109sub), java.lang.Object(o1109sub), java.lang.Object(o1109sub))
1647_0_getTail_FieldAccess(EOS(STATIC_1647), java.lang.Object(List(EOC, o1116, i316)), java.lang.Object(List(EOC, o1116, i316)), java.lang.Object(List(EOC, o1116, i316))) → 1649_0_getTail_FieldAccess(EOS(STATIC_1649), java.lang.Object(List(EOC, o1116, i316)), java.lang.Object(List(EOC, o1116, i316)), java.lang.Object(List(EOC, o1116, i316)))
1649_0_getTail_FieldAccess(EOS(STATIC_1649), java.lang.Object(List(EOC, o1116, i316)), java.lang.Object(List(EOC, o1116, i316)), java.lang.Object(List(EOC, o1116, i316))) → 1652_0_getTail_Return(EOS(STATIC_1652), java.lang.Object(List(EOC, o1116, i316)), java.lang.Object(List(EOC, o1116, i316)), o1116)
1652_0_getTail_Return(EOS(STATIC_1652), java.lang.Object(List(EOC, o1116, i316)), java.lang.Object(List(EOC, o1116, i316)), o1116) → 1656_0_bubble_NULL(EOS(STATIC_1656), java.lang.Object(List(EOC, o1116, i316)), o1116)
1656_0_bubble_NULL(EOS(STATIC_1656), java.lang.Object(List(EOC, java.lang.Object(o1126sub), i316)), java.lang.Object(o1126sub)) → 1660_0_bubble_NULL(EOS(STATIC_1660), java.lang.Object(List(EOC, java.lang.Object(o1126sub), i316)), java.lang.Object(o1126sub))
1660_0_bubble_NULL(EOS(STATIC_1660), java.lang.Object(List(EOC, java.lang.Object(o1126sub), i316)), java.lang.Object(o1126sub)) → 1665_0_bubble_Load(EOS(STATIC_1665), java.lang.Object(List(EOC, java.lang.Object(o1126sub), i316)))
1665_0_bubble_Load(EOS(STATIC_1665), java.lang.Object(List(EOC, java.lang.Object(o1126sub), i316))) → 1671_0_bubble_FieldAccess(EOS(STATIC_1671), java.lang.Object(List(EOC, java.lang.Object(o1126sub), i316)), java.lang.Object(List(EOC, java.lang.Object(o1126sub), i316)))
1671_0_bubble_FieldAccess(EOS(STATIC_1671), java.lang.Object(List(EOC, java.lang.Object(o1126sub), i316)), java.lang.Object(List(EOC, java.lang.Object(o1126sub), i316))) → 1677_0_bubble_Load(EOS(STATIC_1677), java.lang.Object(List(EOC, java.lang.Object(o1126sub), i316)), i316)
1677_0_bubble_Load(EOS(STATIC_1677), java.lang.Object(List(EOC, java.lang.Object(o1126sub), i316)), i316) → 1683_0_bubble_InvokeMethod(EOS(STATIC_1683), java.lang.Object(List(EOC, java.lang.Object(o1126sub), i316)), i316, java.lang.Object(List(EOC, java.lang.Object(o1126sub), i316)))
1683_0_bubble_InvokeMethod(EOS(STATIC_1683), java.lang.Object(List(EOC, java.lang.Object(o1126sub), i316)), i316, java.lang.Object(List(EOC, java.lang.Object(o1126sub), i316))) → 1693_0_getTail_Load(EOS(STATIC_1693), java.lang.Object(List(EOC, java.lang.Object(o1126sub), i316)), i316, java.lang.Object(List(EOC, java.lang.Object(o1126sub), i316)), java.lang.Object(List(EOC, java.lang.Object(o1126sub), i316)))
1693_0_getTail_Load(EOS(STATIC_1693), java.lang.Object(List(EOC, java.lang.Object(o1126sub), i316)), i316, java.lang.Object(List(EOC, java.lang.Object(o1126sub), i316)), java.lang.Object(List(EOC, java.lang.Object(o1126sub), i316))) → 1696_0_getTail_FieldAccess(EOS(STATIC_1696), java.lang.Object(List(EOC, java.lang.Object(o1126sub), i316)), i316, java.lang.Object(List(EOC, java.lang.Object(o1126sub), i316)), java.lang.Object(List(EOC, java.lang.Object(o1126sub), i316)))
1696_0_getTail_FieldAccess(EOS(STATIC_1696), java.lang.Object(List(EOC, java.lang.Object(o1126sub), i316)), i316, java.lang.Object(List(EOC, java.lang.Object(o1126sub), i316)), java.lang.Object(List(EOC, java.lang.Object(o1126sub), i316))) → 1700_0_getTail_Return(EOS(STATIC_1700), java.lang.Object(List(EOC, java.lang.Object(o1126sub), i316)), i316, java.lang.Object(List(EOC, java.lang.Object(o1126sub), i316)), java.lang.Object(o1126sub))
1700_0_getTail_Return(EOS(STATIC_1700), java.lang.Object(List(EOC, java.lang.Object(o1126sub), i316)), i316, java.lang.Object(List(EOC, java.lang.Object(o1126sub), i316)), java.lang.Object(o1126sub)) → 1703_0_bubble_FieldAccess(EOS(STATIC_1703), java.lang.Object(List(EOC, java.lang.Object(o1126sub), i316)), i316, java.lang.Object(o1126sub))
1703_0_bubble_FieldAccess(EOS(STATIC_1703), java.lang.Object(List(EOC, java.lang.Object(o1126sub), i316)), i316, java.lang.Object(o1126sub)) → 1707_0_bubble_FieldAccess(EOS(STATIC_1707), java.lang.Object(List(EOC, java.lang.Object(o1126sub), i316)), i316, java.lang.Object(o1126sub))
1703_0_bubble_FieldAccess(EOS(STATIC_1703), java.lang.Object(List(EOC, java.lang.Object(o1126sub), i316)), i316, java.lang.Object(o1126sub)) → 1708_0_bubble_FieldAccess(EOS(STATIC_1708), java.lang.Object(List(EOC, java.lang.Object(o1126sub), i316)), i316, java.lang.Object(o1126sub))
1707_0_bubble_FieldAccess(EOS(STATIC_1707), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i320)), i316)), i316, java.lang.Object(List(EOC, o1169, i320))) → 1711_0_bubble_FieldAccess(EOS(STATIC_1711), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i320)), i316)), i316, java.lang.Object(List(EOC, o1169, i320)))
1711_0_bubble_FieldAccess(EOS(STATIC_1711), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i320)), i316)), i316, java.lang.Object(List(EOC, o1169, i320))) → 1717_0_bubble_LE(EOS(STATIC_1717), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i320)), i316)), i316, i320)
1717_0_bubble_LE(EOS(STATIC_1717), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i320)), i316)), i316, i320) → 1724_0_bubble_LE(EOS(STATIC_1724), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i320)), i316)), i316, i320)
1717_0_bubble_LE(EOS(STATIC_1717), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i320)), i316)), i316, i320) → 1725_0_bubble_LE(EOS(STATIC_1725), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i320)), i316)), i316, i320)
1724_0_bubble_LE(EOS(STATIC_1724), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i320)), i316)), i316, i320) → 1732_0_bubble_Load(EOS(STATIC_1732), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i320)), i316))) | <=(i316, i320)
1732_0_bubble_Load(EOS(STATIC_1732), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i320)), i316))) → 1894_0_bubble_Load(EOS(STATIC_1894), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i320)), i316)))
1894_0_bubble_Load(EOS(STATIC_1894), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i316)), i320))) → 1902_0_bubble_InvokeMethod(EOS(STATIC_1902), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i316)), i320)))
1902_0_bubble_InvokeMethod(EOS(STATIC_1902), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i316)), i320))) → 1907_0_getTail_Load(EOS(STATIC_1907), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i316)), i320)), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i316)), i320)))
1907_0_getTail_Load(EOS(STATIC_1907), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i316)), i320)), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i316)), i320))) → 1917_0_getTail_FieldAccess(EOS(STATIC_1917), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i316)), i320)), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i316)), i320)))
1917_0_getTail_FieldAccess(EOS(STATIC_1917), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i316)), i320)), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i316)), i320))) → 1928_0_getTail_Return(EOS(STATIC_1928), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i316)), i320)), java.lang.Object(List(EOC, o1169, i316)))
1928_0_getTail_Return(EOS(STATIC_1928), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i316)), i320)), java.lang.Object(List(EOC, o1169, i316))) → 1936_0_bubble_Store(EOS(STATIC_1936), java.lang.Object(List(EOC, o1169, i316)))
1936_0_bubble_Store(EOS(STATIC_1936), java.lang.Object(List(EOC, o1169, i316))) → 1939_0_bubble_JMP(EOS(STATIC_1939), java.lang.Object(List(EOC, o1169, i316)))
1939_0_bubble_JMP(EOS(STATIC_1939), java.lang.Object(List(EOC, o1169, i316))) → 1942_0_bubble_Load(EOS(STATIC_1942), java.lang.Object(List(EOC, o1169, i316)))
1942_0_bubble_Load(EOS(STATIC_1942), java.lang.Object(List(EOC, o1169, i316))) → 1626_0_bubble_Load(EOS(STATIC_1626), java.lang.Object(List(EOC, o1169, i316)))
1626_0_bubble_Load(EOS(STATIC_1626), o1104) → 1629_0_bubble_NULL(EOS(STATIC_1629), o1104, o1104)
1725_0_bubble_LE(EOS(STATIC_1725), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i320)), i316)), i316, i320) → 1734_0_bubble_Load(EOS(STATIC_1734), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i320)), i316))) | >(i316, i320)
1734_0_bubble_Load(EOS(STATIC_1734), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i320)), i316))) → 1744_0_bubble_FieldAccess(EOS(STATIC_1744), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i320)), i316)), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i320)), i316)))
1744_0_bubble_FieldAccess(EOS(STATIC_1744), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i320)), i316)), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i320)), i316))) → 1753_0_bubble_Store(EOS(STATIC_1753), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i320)), i316)), i316)
1753_0_bubble_Store(EOS(STATIC_1753), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i320)), i316)), i316) → 1760_0_bubble_Load(EOS(STATIC_1760), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i320)), i316)), i316)
1760_0_bubble_Load(EOS(STATIC_1760), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i320)), i316)), i316) → 1770_0_bubble_Load(EOS(STATIC_1770), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i320)), i316)), i316, java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i320)), i316)))
1770_0_bubble_Load(EOS(STATIC_1770), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i320)), i316)), i316, java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i320)), i316))) → 1782_0_bubble_InvokeMethod(EOS(STATIC_1782), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i320)), i316)), i316, java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i320)), i316)), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i320)), i316)))
1782_0_bubble_InvokeMethod(EOS(STATIC_1782), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i320)), i316)), i316, java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i320)), i316)), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i320)), i316))) → 1793_0_getTail_Load(EOS(STATIC_1793), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i320)), i316)), i316, java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i320)), i316)), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i320)), i316)), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i320)), i316)))
1793_0_getTail_Load(EOS(STATIC_1793), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i320)), i316)), i316, java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i320)), i316)), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i320)), i316)), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i320)), i316))) → 1808_0_getTail_FieldAccess(EOS(STATIC_1808), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i320)), i316)), i316, java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i320)), i316)), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i320)), i316)), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i320)), i316)))
1808_0_getTail_FieldAccess(EOS(STATIC_1808), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i320)), i316)), i316, java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i320)), i316)), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i320)), i316)), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i320)), i316))) → 1819_0_getTail_Return(EOS(STATIC_1819), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i320)), i316)), i316, java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i320)), i316)), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i320)), i316)), java.lang.Object(List(EOC, o1169, i320)))
1819_0_getTail_Return(EOS(STATIC_1819), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i320)), i316)), i316, java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i320)), i316)), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i320)), i316)), java.lang.Object(List(EOC, o1169, i320))) → 1825_0_bubble_FieldAccess(EOS(STATIC_1825), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i320)), i316)), i316, java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i320)), i316)), java.lang.Object(List(EOC, o1169, i320)))
1825_0_bubble_FieldAccess(EOS(STATIC_1825), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i320)), i316)), i316, java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i320)), i316)), java.lang.Object(List(EOC, o1169, i320))) → 1829_0_bubble_FieldAccess(EOS(STATIC_1829), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i320)), i316)), i316, java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i320)), i316)), i320)
1829_0_bubble_FieldAccess(EOS(STATIC_1829), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i320)), i316)), i316, java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i320)), i316)), i320) → 1834_0_bubble_Load(EOS(STATIC_1834), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i320)), i320)), i316)
1834_0_bubble_Load(EOS(STATIC_1834), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i320)), i320)), i316) → 1839_0_bubble_InvokeMethod(EOS(STATIC_1839), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i320)), i320)), i316, java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i320)), i320)))
1839_0_bubble_InvokeMethod(EOS(STATIC_1839), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i320)), i320)), i316, java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i320)), i320))) → 1844_0_getTail_Load(EOS(STATIC_1844), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i320)), i320)), i316, java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i320)), i320)), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i320)), i320)))
1844_0_getTail_Load(EOS(STATIC_1844), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i320)), i320)), i316, java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i320)), i320)), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i320)), i320))) → 1854_0_getTail_FieldAccess(EOS(STATIC_1854), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i320)), i320)), i316, java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i320)), i320)), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i320)), i320)))
1854_0_getTail_FieldAccess(EOS(STATIC_1854), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i320)), i320)), i316, java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i320)), i320)), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i320)), i320))) → 1866_0_getTail_Return(EOS(STATIC_1866), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i320)), i320)), i316, java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i320)), i320)), java.lang.Object(List(EOC, o1169, i320)))
1866_0_getTail_Return(EOS(STATIC_1866), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i320)), i320)), i316, java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i320)), i320)), java.lang.Object(List(EOC, o1169, i320))) → 1875_0_bubble_Load(EOS(STATIC_1875), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i320)), i320)), i316, java.lang.Object(List(EOC, o1169, i320)))
1875_0_bubble_Load(EOS(STATIC_1875), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i320)), i320)), i316, java.lang.Object(List(EOC, o1169, i320))) → 1881_0_bubble_FieldAccess(EOS(STATIC_1881), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i320)), i320)), java.lang.Object(List(EOC, o1169, i320)), i316)
1881_0_bubble_FieldAccess(EOS(STATIC_1881), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i320)), i320)), java.lang.Object(List(EOC, o1169, i320)), i316) → 1894_0_bubble_Load(EOS(STATIC_1894), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1169, i316)), i320)))
1708_0_bubble_FieldAccess(EOS(STATIC_1708), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i321)), i316)), i316, java.lang.Object(List(EOC, o1171, i321))) → 1713_0_bubble_FieldAccess(EOS(STATIC_1713), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i321)), i316)), i316, java.lang.Object(List(EOC, o1171, i321)))
1713_0_bubble_FieldAccess(EOS(STATIC_1713), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i321)), i316)), i316, java.lang.Object(List(EOC, o1171, i321))) → 1720_0_bubble_LE(EOS(STATIC_1720), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i321)), i316)), i316, i321)
1720_0_bubble_LE(EOS(STATIC_1720), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i321)), i316)), i316, i321) → 1727_0_bubble_LE(EOS(STATIC_1727), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i321)), i316)), i316, i321)
1720_0_bubble_LE(EOS(STATIC_1720), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i321)), i316)), i316, i321) → 1728_0_bubble_LE(EOS(STATIC_1728), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i321)), i316)), i316, i321)
1727_0_bubble_LE(EOS(STATIC_1727), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i321)), i316)), i316, i321) → 1736_0_bubble_Load(EOS(STATIC_1736), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i321)), i316))) | <=(i316, i321)
1736_0_bubble_Load(EOS(STATIC_1736), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i321)), i316))) → 1898_0_bubble_Load(EOS(STATIC_1898), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i321)), i316)))
1898_0_bubble_Load(EOS(STATIC_1898), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i316)), i321))) → 1904_0_bubble_InvokeMethod(EOS(STATIC_1904), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i316)), i321)))
1904_0_bubble_InvokeMethod(EOS(STATIC_1904), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i316)), i321))) → 1908_0_getTail_Load(EOS(STATIC_1908), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i316)), i321)), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i316)), i321)))
1908_0_getTail_Load(EOS(STATIC_1908), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i316)), i321)), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i316)), i321))) → 1922_0_getTail_FieldAccess(EOS(STATIC_1922), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i316)), i321)), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i316)), i321)))
1922_0_getTail_FieldAccess(EOS(STATIC_1922), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i316)), i321)), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i316)), i321))) → 1933_0_getTail_Return(EOS(STATIC_1933), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i316)), i321)), java.lang.Object(List(EOC, o1171, i316)))
1933_0_getTail_Return(EOS(STATIC_1933), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i316)), i321)), java.lang.Object(List(EOC, o1171, i316))) → 1938_0_bubble_Store(EOS(STATIC_1938), java.lang.Object(List(EOC, o1171, i316)))
1938_0_bubble_Store(EOS(STATIC_1938), java.lang.Object(List(EOC, o1171, i316))) → 1940_0_bubble_JMP(EOS(STATIC_1940), java.lang.Object(List(EOC, o1171, i316)))
1940_0_bubble_JMP(EOS(STATIC_1940), java.lang.Object(List(EOC, o1171, i316))) → 1944_0_bubble_Load(EOS(STATIC_1944), java.lang.Object(List(EOC, o1171, i316)))
1944_0_bubble_Load(EOS(STATIC_1944), java.lang.Object(List(EOC, o1171, i316))) → 1626_0_bubble_Load(EOS(STATIC_1626), java.lang.Object(List(EOC, o1171, i316)))
1728_0_bubble_LE(EOS(STATIC_1728), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i321)), i316)), i316, i321) → 1738_0_bubble_Load(EOS(STATIC_1738), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i321)), i316))) | >(i316, i321)
1738_0_bubble_Load(EOS(STATIC_1738), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i321)), i316))) → 1747_0_bubble_FieldAccess(EOS(STATIC_1747), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i321)), i316)), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i321)), i316)))
1747_0_bubble_FieldAccess(EOS(STATIC_1747), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i321)), i316)), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i321)), i316))) → 1757_0_bubble_Store(EOS(STATIC_1757), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i321)), i316)), i316)
1757_0_bubble_Store(EOS(STATIC_1757), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i321)), i316)), i316) → 1762_0_bubble_Load(EOS(STATIC_1762), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i321)), i316)), i316)
1762_0_bubble_Load(EOS(STATIC_1762), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i321)), i316)), i316) → 1774_0_bubble_Load(EOS(STATIC_1774), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i321)), i316)), i316, java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i321)), i316)))
1774_0_bubble_Load(EOS(STATIC_1774), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i321)), i316)), i316, java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i321)), i316))) → 1787_0_bubble_InvokeMethod(EOS(STATIC_1787), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i321)), i316)), i316, java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i321)), i316)), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i321)), i316)))
1787_0_bubble_InvokeMethod(EOS(STATIC_1787), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i321)), i316)), i316, java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i321)), i316)), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i321)), i316))) → 1796_0_getTail_Load(EOS(STATIC_1796), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i321)), i316)), i316, java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i321)), i316)), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i321)), i316)), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i321)), i316)))
1796_0_getTail_Load(EOS(STATIC_1796), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i321)), i316)), i316, java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i321)), i316)), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i321)), i316)), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i321)), i316))) → 1813_0_getTail_FieldAccess(EOS(STATIC_1813), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i321)), i316)), i316, java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i321)), i316)), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i321)), i316)), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i321)), i316)))
1813_0_getTail_FieldAccess(EOS(STATIC_1813), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i321)), i316)), i316, java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i321)), i316)), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i321)), i316)), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i321)), i316))) → 1822_0_getTail_Return(EOS(STATIC_1822), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i321)), i316)), i316, java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i321)), i316)), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i321)), i316)), java.lang.Object(List(EOC, o1171, i321)))
1822_0_getTail_Return(EOS(STATIC_1822), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i321)), i316)), i316, java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i321)), i316)), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i321)), i316)), java.lang.Object(List(EOC, o1171, i321))) → 1826_0_bubble_FieldAccess(EOS(STATIC_1826), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i321)), i316)), i316, java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i321)), i316)), java.lang.Object(List(EOC, o1171, i321)))
1826_0_bubble_FieldAccess(EOS(STATIC_1826), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i321)), i316)), i316, java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i321)), i316)), java.lang.Object(List(EOC, o1171, i321))) → 1831_0_bubble_FieldAccess(EOS(STATIC_1831), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i321)), i316)), i316, java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i321)), i316)), i321)
1831_0_bubble_FieldAccess(EOS(STATIC_1831), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i321)), i316)), i316, java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i321)), i316)), i321) → 1835_0_bubble_Load(EOS(STATIC_1835), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i321)), i321)), i316)
1835_0_bubble_Load(EOS(STATIC_1835), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i321)), i321)), i316) → 1841_0_bubble_InvokeMethod(EOS(STATIC_1841), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i321)), i321)), i316, java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i321)), i321)))
1841_0_bubble_InvokeMethod(EOS(STATIC_1841), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i321)), i321)), i316, java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i321)), i321))) → 1845_0_getTail_Load(EOS(STATIC_1845), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i321)), i321)), i316, java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i321)), i321)), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i321)), i321)))
1845_0_getTail_Load(EOS(STATIC_1845), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i321)), i321)), i316, java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i321)), i321)), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i321)), i321))) → 1858_0_getTail_FieldAccess(EOS(STATIC_1858), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i321)), i321)), i316, java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i321)), i321)), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i321)), i321)))
1858_0_getTail_FieldAccess(EOS(STATIC_1858), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i321)), i321)), i316, java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i321)), i321)), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i321)), i321))) → 1871_0_getTail_Return(EOS(STATIC_1871), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i321)), i321)), i316, java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i321)), i321)), java.lang.Object(List(EOC, o1171, i321)))
1871_0_getTail_Return(EOS(STATIC_1871), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i321)), i321)), i316, java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i321)), i321)), java.lang.Object(List(EOC, o1171, i321))) → 1878_0_bubble_Load(EOS(STATIC_1878), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i321)), i321)), i316, java.lang.Object(List(EOC, o1171, i321)))
1878_0_bubble_Load(EOS(STATIC_1878), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i321)), i321)), i316, java.lang.Object(List(EOC, o1171, i321))) → 1884_0_bubble_FieldAccess(EOS(STATIC_1884), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i321)), i321)), java.lang.Object(List(EOC, o1171, i321)), i316)
1884_0_bubble_FieldAccess(EOS(STATIC_1884), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i321)), i321)), java.lang.Object(List(EOC, o1171, i321)), i316) → 1898_0_bubble_Load(EOS(STATIC_1898), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1171, i316)), i321)))
1648_0_getTail_FieldAccess(EOS(STATIC_1648), java.lang.Object(List(EOC, o1118, i317)), java.lang.Object(List(EOC, o1118, i317)), java.lang.Object(List(EOC, o1118, i317))) → 1651_0_getTail_FieldAccess(EOS(STATIC_1651), java.lang.Object(List(EOC, o1118, i317)), java.lang.Object(List(EOC, o1118, i317)), java.lang.Object(List(EOC, o1118, i317)))
1651_0_getTail_FieldAccess(EOS(STATIC_1651), java.lang.Object(List(EOC, o1118, i317)), java.lang.Object(List(EOC, o1118, i317)), java.lang.Object(List(EOC, o1118, i317))) → 1654_0_getTail_Return(EOS(STATIC_1654), java.lang.Object(List(EOC, o1118, i317)), java.lang.Object(List(EOC, o1118, i317)), o1118)
1654_0_getTail_Return(EOS(STATIC_1654), java.lang.Object(List(EOC, o1118, i317)), java.lang.Object(List(EOC, o1118, i317)), o1118) → 1658_0_bubble_NULL(EOS(STATIC_1658), java.lang.Object(List(EOC, o1118, i317)), o1118)
1658_0_bubble_NULL(EOS(STATIC_1658), java.lang.Object(List(EOC, java.lang.Object(o1127sub), i317)), java.lang.Object(o1127sub)) → 1662_0_bubble_NULL(EOS(STATIC_1662), java.lang.Object(List(EOC, java.lang.Object(o1127sub), i317)), java.lang.Object(o1127sub))
1662_0_bubble_NULL(EOS(STATIC_1662), java.lang.Object(List(EOC, java.lang.Object(o1127sub), i317)), java.lang.Object(o1127sub)) → 1668_0_bubble_Load(EOS(STATIC_1668), java.lang.Object(List(EOC, java.lang.Object(o1127sub), i317)))
1668_0_bubble_Load(EOS(STATIC_1668), java.lang.Object(List(EOC, java.lang.Object(o1127sub), i317))) → 1674_0_bubble_FieldAccess(EOS(STATIC_1674), java.lang.Object(List(EOC, java.lang.Object(o1127sub), i317)), java.lang.Object(List(EOC, java.lang.Object(o1127sub), i317)))
1674_0_bubble_FieldAccess(EOS(STATIC_1674), java.lang.Object(List(EOC, java.lang.Object(o1127sub), i317)), java.lang.Object(List(EOC, java.lang.Object(o1127sub), i317))) → 1680_0_bubble_Load(EOS(STATIC_1680), java.lang.Object(List(EOC, java.lang.Object(o1127sub), i317)), i317)
1680_0_bubble_Load(EOS(STATIC_1680), java.lang.Object(List(EOC, java.lang.Object(o1127sub), i317)), i317) → 1688_0_bubble_InvokeMethod(EOS(STATIC_1688), java.lang.Object(List(EOC, java.lang.Object(o1127sub), i317)), i317, java.lang.Object(List(EOC, java.lang.Object(o1127sub), i317)))
1688_0_bubble_InvokeMethod(EOS(STATIC_1688), java.lang.Object(List(EOC, java.lang.Object(o1127sub), i317)), i317, java.lang.Object(List(EOC, java.lang.Object(o1127sub), i317))) → 1694_0_getTail_Load(EOS(STATIC_1694), java.lang.Object(List(EOC, java.lang.Object(o1127sub), i317)), i317, java.lang.Object(List(EOC, java.lang.Object(o1127sub), i317)), java.lang.Object(List(EOC, java.lang.Object(o1127sub), i317)))
1694_0_getTail_Load(EOS(STATIC_1694), java.lang.Object(List(EOC, java.lang.Object(o1127sub), i317)), i317, java.lang.Object(List(EOC, java.lang.Object(o1127sub), i317)), java.lang.Object(List(EOC, java.lang.Object(o1127sub), i317))) → 1698_0_getTail_FieldAccess(EOS(STATIC_1698), java.lang.Object(List(EOC, java.lang.Object(o1127sub), i317)), i317, java.lang.Object(List(EOC, java.lang.Object(o1127sub), i317)), java.lang.Object(List(EOC, java.lang.Object(o1127sub), i317)))
1698_0_getTail_FieldAccess(EOS(STATIC_1698), java.lang.Object(List(EOC, java.lang.Object(o1127sub), i317)), i317, java.lang.Object(List(EOC, java.lang.Object(o1127sub), i317)), java.lang.Object(List(EOC, java.lang.Object(o1127sub), i317))) → 1701_0_getTail_Return(EOS(STATIC_1701), java.lang.Object(List(EOC, java.lang.Object(o1127sub), i317)), i317, java.lang.Object(List(EOC, java.lang.Object(o1127sub), i317)), java.lang.Object(o1127sub))
1701_0_getTail_Return(EOS(STATIC_1701), java.lang.Object(List(EOC, java.lang.Object(o1127sub), i317)), i317, java.lang.Object(List(EOC, java.lang.Object(o1127sub), i317)), java.lang.Object(o1127sub)) → 1705_0_bubble_FieldAccess(EOS(STATIC_1705), java.lang.Object(List(EOC, java.lang.Object(o1127sub), i317)), i317, java.lang.Object(o1127sub))
1705_0_bubble_FieldAccess(EOS(STATIC_1705), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i319)), i317)), i317, java.lang.Object(List(EOC, o1167, i319))) → 1709_0_bubble_FieldAccess(EOS(STATIC_1709), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i319)), i317)), i317, java.lang.Object(List(EOC, o1167, i319)))
1709_0_bubble_FieldAccess(EOS(STATIC_1709), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i319)), i317)), i317, java.lang.Object(List(EOC, o1167, i319))) → 1715_0_bubble_LE(EOS(STATIC_1715), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i319)), i317)), i317, i319)
1715_0_bubble_LE(EOS(STATIC_1715), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i319)), i317)), i317, i319) → 1722_0_bubble_LE(EOS(STATIC_1722), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i319)), i317)), i317, i319)
1715_0_bubble_LE(EOS(STATIC_1715), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i319)), i317)), i317, i319) → 1723_0_bubble_LE(EOS(STATIC_1723), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i319)), i317)), i317, i319)
1722_0_bubble_LE(EOS(STATIC_1722), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i319)), i317)), i317, i319) → 1729_0_bubble_Load(EOS(STATIC_1729), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i319)), i317))) | <=(i317, i319)
1729_0_bubble_Load(EOS(STATIC_1729), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i319)), i317))) → 1887_0_bubble_Load(EOS(STATIC_1887), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i319)), i317)))
1887_0_bubble_Load(EOS(STATIC_1887), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i317)), i319))) → 1901_0_bubble_InvokeMethod(EOS(STATIC_1901), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i317)), i319)))
1901_0_bubble_InvokeMethod(EOS(STATIC_1901), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i317)), i319))) → 1905_0_getTail_Load(EOS(STATIC_1905), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i317)), i319)), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i317)), i319)))
1905_0_getTail_Load(EOS(STATIC_1905), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i317)), i319)), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i317)), i319))) → 1911_0_getTail_FieldAccess(EOS(STATIC_1911), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i317)), i319)), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i317)), i319)))
1911_0_getTail_FieldAccess(EOS(STATIC_1911), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i317)), i319)), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i317)), i319))) → 1925_0_getTail_Return(EOS(STATIC_1925), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i317)), i319)), java.lang.Object(List(EOC, o1167, i317)))
1925_0_getTail_Return(EOS(STATIC_1925), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i317)), i319)), java.lang.Object(List(EOC, o1167, i317))) → 1934_0_bubble_Store(EOS(STATIC_1934), java.lang.Object(List(EOC, o1167, i317)))
1934_0_bubble_Store(EOS(STATIC_1934), java.lang.Object(List(EOC, o1167, i317))) → 1936_0_bubble_Store(EOS(STATIC_1936), java.lang.Object(List(EOC, o1167, i317)))
1723_0_bubble_LE(EOS(STATIC_1723), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i319)), i317)), i317, i319) → 1731_0_bubble_Load(EOS(STATIC_1731), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i319)), i317))) | >(i317, i319)
1731_0_bubble_Load(EOS(STATIC_1731), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i319)), i317))) → 1740_0_bubble_FieldAccess(EOS(STATIC_1740), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i319)), i317)), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i319)), i317)))
1740_0_bubble_FieldAccess(EOS(STATIC_1740), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i319)), i317)), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i319)), i317))) → 1750_0_bubble_Store(EOS(STATIC_1750), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i319)), i317)), i317)
1750_0_bubble_Store(EOS(STATIC_1750), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i319)), i317)), i317) → 1758_0_bubble_Load(EOS(STATIC_1758), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i319)), i317)), i317)
1758_0_bubble_Load(EOS(STATIC_1758), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i319)), i317)), i317) → 1765_0_bubble_Load(EOS(STATIC_1765), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i319)), i317)), i317, java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i319)), i317)))
1765_0_bubble_Load(EOS(STATIC_1765), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i319)), i317)), i317, java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i319)), i317))) → 1777_0_bubble_InvokeMethod(EOS(STATIC_1777), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i319)), i317)), i317, java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i319)), i317)), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i319)), i317)))
1777_0_bubble_InvokeMethod(EOS(STATIC_1777), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i319)), i317)), i317, java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i319)), i317)), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i319)), i317))) → 1789_0_getTail_Load(EOS(STATIC_1789), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i319)), i317)), i317, java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i319)), i317)), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i319)), i317)), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i319)), i317)))
1789_0_getTail_Load(EOS(STATIC_1789), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i319)), i317)), i317, java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i319)), i317)), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i319)), i317)), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i319)), i317))) → 1801_0_getTail_FieldAccess(EOS(STATIC_1801), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i319)), i317)), i317, java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i319)), i317)), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i319)), i317)), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i319)), i317)))
1801_0_getTail_FieldAccess(EOS(STATIC_1801), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i319)), i317)), i317, java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i319)), i317)), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i319)), i317)), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i319)), i317))) → 1816_0_getTail_Return(EOS(STATIC_1816), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i319)), i317)), i317, java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i319)), i317)), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i319)), i317)), java.lang.Object(List(EOC, o1167, i319)))
1816_0_getTail_Return(EOS(STATIC_1816), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i319)), i317)), i317, java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i319)), i317)), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i319)), i317)), java.lang.Object(List(EOC, o1167, i319))) → 1824_0_bubble_FieldAccess(EOS(STATIC_1824), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i319)), i317)), i317, java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i319)), i317)), java.lang.Object(List(EOC, o1167, i319)))
1824_0_bubble_FieldAccess(EOS(STATIC_1824), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i319)), i317)), i317, java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i319)), i317)), java.lang.Object(List(EOC, o1167, i319))) → 1828_0_bubble_FieldAccess(EOS(STATIC_1828), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i319)), i317)), i317, java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i319)), i317)), i319)
1828_0_bubble_FieldAccess(EOS(STATIC_1828), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i319)), i317)), i317, java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i319)), i317)), i319) → 1832_0_bubble_Load(EOS(STATIC_1832), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i319)), i319)), i317)
1832_0_bubble_Load(EOS(STATIC_1832), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i319)), i319)), i317) → 1837_0_bubble_InvokeMethod(EOS(STATIC_1837), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i319)), i319)), i317, java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i319)), i319)))
1837_0_bubble_InvokeMethod(EOS(STATIC_1837), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i319)), i319)), i317, java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i319)), i319))) → 1842_0_getTail_Load(EOS(STATIC_1842), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i319)), i319)), i317, java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i319)), i319)), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i319)), i319)))
1842_0_getTail_Load(EOS(STATIC_1842), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i319)), i319)), i317, java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i319)), i319)), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i319)), i319))) → 1849_0_getTail_FieldAccess(EOS(STATIC_1849), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i319)), i319)), i317, java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i319)), i319)), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i319)), i319)))
1849_0_getTail_FieldAccess(EOS(STATIC_1849), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i319)), i319)), i317, java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i319)), i319)), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i319)), i319))) → 1862_0_getTail_Return(EOS(STATIC_1862), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i319)), i319)), i317, java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i319)), i319)), java.lang.Object(List(EOC, o1167, i319)))
1862_0_getTail_Return(EOS(STATIC_1862), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i319)), i319)), i317, java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i319)), i319)), java.lang.Object(List(EOC, o1167, i319))) → 1873_0_bubble_Load(EOS(STATIC_1873), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i319)), i319)), i317, java.lang.Object(List(EOC, o1167, i319)))
1873_0_bubble_Load(EOS(STATIC_1873), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i319)), i319)), i317, java.lang.Object(List(EOC, o1167, i319))) → 1879_0_bubble_FieldAccess(EOS(STATIC_1879), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i319)), i319)), java.lang.Object(List(EOC, o1167, i319)), i317)
1879_0_bubble_FieldAccess(EOS(STATIC_1879), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i319)), i319)), java.lang.Object(List(EOC, o1167, i319)), i317) → 1887_0_bubble_Load(EOS(STATIC_1887), java.lang.Object(List(EOC, java.lang.Object(List(EOC, o1167, i317)), i319)))
R rules:

Combined rules. Obtained 2 conditional rules for P and 0 conditional rules for R.

P rules:
1629_0_bubble_NULL(EOS(STATIC_1629), java.lang.Object(List(EOC, java.lang.Object(List(EOC, x0, x1)), x2)), java.lang.Object(List(EOC, java.lang.Object(List(EOC, x0, x1)), x2))) → 1629_0_bubble_NULL(EOS(STATIC_1629), java.lang.Object(List(EOC, x0, x1)), java.lang.Object(List(EOC, x0, x1))) | <=(x2, x1)
1629_0_bubble_NULL(EOS(STATIC_1629), java.lang.Object(List(EOC, java.lang.Object(List(EOC, x0, x1)), x2)), java.lang.Object(List(EOC, java.lang.Object(List(EOC, x0, x1)), x2))) → 1629_0_bubble_NULL(EOS(STATIC_1629), java.lang.Object(List(EOC, x0, x2)), java.lang.Object(List(EOC, x0, x2))) | >(x2, x1)
R rules:

Filtered ground terms:

1629_0_bubble_NULL(x1, x2, x3) → 1629_0_bubble_NULL(x2, x3)
List(x1, x2, x3) → List(x2, x3)
EOS(x1) → EOS
Cond_1629_0_bubble_NULL1(x1, x2, x3, x4) → Cond_1629_0_bubble_NULL1(x1, x3, x4)
Cond_1629_0_bubble_NULL(x1, x2, x3, x4) → Cond_1629_0_bubble_NULL(x1, x3, x4)

Filtered duplicate args:

1629_0_bubble_NULL(x1, x2) → 1629_0_bubble_NULL(x2)
Cond_1629_0_bubble_NULL(x1, x2, x3) → Cond_1629_0_bubble_NULL(x1, x3)
Cond_1629_0_bubble_NULL1(x1, x2, x3) → Cond_1629_0_bubble_NULL1(x1, x3)

Combined rules. Obtained 2 conditional rules for P and 0 conditional rules for R.

P rules:
1629_0_bubble_NULL(java.lang.Object(List(java.lang.Object(List(x0, x1)), x2))) → 1629_0_bubble_NULL(java.lang.Object(List(x0, x1))) | <=(x2, x1)
1629_0_bubble_NULL(java.lang.Object(List(java.lang.Object(List(x0, x1)), x2))) → 1629_0_bubble_NULL(java.lang.Object(List(x0, x2))) | >(x2, x1)
R rules:

Finished conversion. Obtained 4 rules for P and 0 rules for R. System has predefined symbols.

P rules:
1629_0_BUBBLE_NULL(java.lang.Object(List(java.lang.Object(List(x0, x1)), x2))) → COND_1629_0_BUBBLE_NULL(<=(x2, x1), java.lang.Object(List(java.lang.Object(List(x0, x1)), x2)))
COND_1629_0_BUBBLE_NULL(TRUE, java.lang.Object(List(java.lang.Object(List(x0, x1)), x2))) → 1629_0_BUBBLE_NULL(java.lang.Object(List(x0, x1)))
1629_0_BUBBLE_NULL(java.lang.Object(List(java.lang.Object(List(x0, x1)), x2))) → COND_1629_0_BUBBLE_NULL1(>(x2, x1), java.lang.Object(List(java.lang.Object(List(x0, x1)), x2)))
COND_1629_0_BUBBLE_NULL1(TRUE, java.lang.Object(List(java.lang.Object(List(x0, x1)), x2))) → 1629_0_BUBBLE_NULL(java.lang.Object(List(x0, x2)))
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:

Integer

R is empty.

The integer pair graph contains the following rules and edges:
(0): 1629_0_BUBBLE_NULL(java.lang.Object(List(java.lang.Object(List(x0[0], x1[0])), x2[0]))) → COND_1629_0_BUBBLE_NULL(x2[0] <= x1[0], java.lang.Object(List(java.lang.Object(List(x0[0], x1[0])), x2[0])))
(1): COND_1629_0_BUBBLE_NULL(TRUE, java.lang.Object(List(java.lang.Object(List(x0[1], x1[1])), x2[1]))) → 1629_0_BUBBLE_NULL(java.lang.Object(List(x0[1], x1[1])))
(2): 1629_0_BUBBLE_NULL(java.lang.Object(List(java.lang.Object(List(x0[2], x1[2])), x2[2]))) → COND_1629_0_BUBBLE_NULL1(x2[2] > x1[2], java.lang.Object(List(java.lang.Object(List(x0[2], x1[2])), x2[2])))
(3): COND_1629_0_BUBBLE_NULL1(TRUE, java.lang.Object(List(java.lang.Object(List(x0[3], x1[3])), x2[3]))) → 1629_0_BUBBLE_NULL(java.lang.Object(List(x0[3], x2[3])))

(0) -> (1), if (x2[0] <= x1[0] ∧java.lang.Object(List(java.lang.Object(List(x0[0], x1[0])), x2[0])) →^* java.lang.Object(List(java.lang.Object(List(x0[1], x1[1])), x2[1])))

(1) -> (0), if (java.lang.Object(List(x0[1], x1[1])) →^* java.lang.Object(List(java.lang.Object(List(x0[0], x1[0])), x2[0])))

(1) -> (2), if (java.lang.Object(List(x0[1], x1[1])) →^* java.lang.Object(List(java.lang.Object(List(x0[2], x1[2])), x2[2])))

(2) -> (3), if (x2[2] > x1[2] ∧java.lang.Object(List(java.lang.Object(List(x0[2], x1[2])), x2[2])) →^* java.lang.Object(List(java.lang.Object(List(x0[3], x1[3])), x2[3])))

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

(3) -> (2), if (java.lang.Object(List(x0[3], x2[3])) →^* java.lang.Object(List(java.lang.Object(List(x0[2], x1[2])), x2[2])))

The set Q is empty.

(8) 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@1277f399 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 1629_0_BUBBLE_NULL(java.lang.Object(List(java.lang.Object(List(x0, x1)), x2))) → COND_1629_0_BUBBLE_NULL(<=(x2, x1), java.lang.Object(List(java.lang.Object(List(x0, x1)), x2))) the following chains were created:

We consider the chain 1629_0_BUBBLE_NULL(java.lang.Object(List(java.lang.Object(List(x0[0], x1[0])), x2[0]))) → COND_1629_0_BUBBLE_NULL(<=(x2[0], x1[0]), java.lang.Object(List(java.lang.Object(List(x0[0], x1[0])), x2[0]))), COND_1629_0_BUBBLE_NULL(TRUE, java.lang.Object(List(java.lang.Object(List(x0[1], x1[1])), x2[1]))) → 1629_0_BUBBLE_NULL(java.lang.Object(List(x0[1], x1[1]))) which results in the following constraint:
(1)    (<=(x2[0], x1[0])=TRUE∧java.lang.Object(List(java.lang.Object(List(x0[0], x1[0])), x2[0]))=java.lang.Object(List(java.lang.Object(List(x0[1], x1[1])), x2[1])) ⇒ 1629_0_BUBBLE_NULL(java.lang.Object(List(java.lang.Object(List(x0[0], x1[0])), x2[0])))≥NonInfC∧1629_0_BUBBLE_NULL(java.lang.Object(List(java.lang.Object(List(x0[0], x1[0])), x2[0])))≥COND_1629_0_BUBBLE_NULL(<=(x2[0], x1[0]), java.lang.Object(List(java.lang.Object(List(x0[0], x1[0])), x2[0])))∧(U^Increasing(COND_1629_0_BUBBLE_NULL(<=(x2[0], x1[0]), java.lang.Object(List(java.lang.Object(List(x0[0], x1[0])), x2[0])))), ≥))

We simplified constraint (1) using rules (I), (II), (IV) which results in the following new constraint:
(2)    (<=(x2[0], x1[0])=TRUE ⇒ 1629_0_BUBBLE_NULL(java.lang.Object(List(java.lang.Object(List(x0[0], x1[0])), x2[0])))≥NonInfC∧1629_0_BUBBLE_NULL(java.lang.Object(List(java.lang.Object(List(x0[0], x1[0])), x2[0])))≥COND_1629_0_BUBBLE_NULL(<=(x2[0], x1[0]), java.lang.Object(List(java.lang.Object(List(x0[0], x1[0])), x2[0])))∧(U^Increasing(COND_1629_0_BUBBLE_NULL(<=(x2[0], x1[0]), java.lang.Object(List(java.lang.Object(List(x0[0], x1[0])), x2[0])))), ≥))

We simplified constraint (2) using rule (POLY_CONSTRAINTS) which results in the following new constraint:
(3)    (0 ≥ 0 ⇒ (U^Increasing(COND_1629_0_BUBBLE_NULL(<=(x2[0], x1[0]), java.lang.Object(List(java.lang.Object(List(x0[0], x1[0])), x2[0])))), ≥)∧[(43)bni_14 + (-1)Bound*bni_14] + [(12)bni_14]x2[0] + [(72)bni_14]x1[0] + [(72)bni_14]x0[0] ≥ 0∧[(-1)bso_15] ≥ 0)

We simplified constraint (3) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:
(4)    (0 ≥ 0 ⇒ (U^Increasing(COND_1629_0_BUBBLE_NULL(<=(x2[0], x1[0]), java.lang.Object(List(java.lang.Object(List(x0[0], x1[0])), x2[0])))), ≥)∧[(43)bni_14 + (-1)Bound*bni_14] + [(12)bni_14]x2[0] + [(72)bni_14]x1[0] + [(72)bni_14]x0[0] ≥ 0∧[(-1)bso_15] ≥ 0)

We simplified constraint (4) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:
(5)    (0 ≥ 0 ⇒ (U^Increasing(COND_1629_0_BUBBLE_NULL(<=(x2[0], x1[0]), java.lang.Object(List(java.lang.Object(List(x0[0], x1[0])), x2[0])))), ≥)∧[(43)bni_14 + (-1)Bound*bni_14] + [(12)bni_14]x2[0] + [(72)bni_14]x1[0] + [(72)bni_14]x0[0] ≥ 0∧[(-1)bso_15] ≥ 0)

We simplified constraint (5) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:
(6)    (0 ≥ 0 ⇒ (U^Increasing(COND_1629_0_BUBBLE_NULL(<=(x2[0], x1[0]), java.lang.Object(List(java.lang.Object(List(x0[0], x1[0])), x2[0])))), ≥)∧[(12)bni_14] ≥ 0∧[(72)bni_14] ≥ 0∧[(72)bni_14] ≥ 0∧[(43)bni_14 + (-1)Bound*bni_14] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_15] ≥ 0)

For Pair COND_1629_0_BUBBLE_NULL(TRUE, java.lang.Object(List(java.lang.Object(List(x0, x1)), x2))) → 1629_0_BUBBLE_NULL(java.lang.Object(List(x0, x1))) the following chains were created:

We consider the chain 1629_0_BUBBLE_NULL(java.lang.Object(List(java.lang.Object(List(x0[0], x1[0])), x2[0]))) → COND_1629_0_BUBBLE_NULL(<=(x2[0], x1[0]), java.lang.Object(List(java.lang.Object(List(x0[0], x1[0])), x2[0]))), COND_1629_0_BUBBLE_NULL(TRUE, java.lang.Object(List(java.lang.Object(List(x0[1], x1[1])), x2[1]))) → 1629_0_BUBBLE_NULL(java.lang.Object(List(x0[1], x1[1]))), 1629_0_BUBBLE_NULL(java.lang.Object(List(java.lang.Object(List(x0[0], x1[0])), x2[0]))) → COND_1629_0_BUBBLE_NULL(<=(x2[0], x1[0]), java.lang.Object(List(java.lang.Object(List(x0[0], x1[0])), x2[0]))) which results in the following constraint:
(7)    (<=(x2[0], x1[0])=TRUE∧java.lang.Object(List(java.lang.Object(List(x0[0], x1[0])), x2[0]))=java.lang.Object(List(java.lang.Object(List(x0[1], x1[1])), x2[1]))∧java.lang.Object(List(x0[1], x1[1]))=java.lang.Object(List(java.lang.Object(List(x0[0]1, x1[0]1)), x2[0]1)) ⇒ COND_1629_0_BUBBLE_NULL(TRUE, java.lang.Object(List(java.lang.Object(List(x0[1], x1[1])), x2[1])))≥NonInfC∧COND_1629_0_BUBBLE_NULL(TRUE, java.lang.Object(List(java.lang.Object(List(x0[1], x1[1])), x2[1])))≥1629_0_BUBBLE_NULL(java.lang.Object(List(x0[1], x1[1])))∧(U^Increasing(1629_0_BUBBLE_NULL(java.lang.Object(List(x0[1], x1[1])))), ≥))

We simplified constraint (7) using rules (I), (II), (III), (IV) which results in the following new constraint:
(8)    (<=(x2[0], x1[0])=TRUE ⇒ COND_1629_0_BUBBLE_NULL(TRUE, java.lang.Object(List(java.lang.Object(List(java.lang.Object(List(x0[0]1, x1[0]1)), x1[0])), x2[0])))≥NonInfC∧COND_1629_0_BUBBLE_NULL(TRUE, java.lang.Object(List(java.lang.Object(List(java.lang.Object(List(x0[0]1, x1[0]1)), x1[0])), x2[0])))≥1629_0_BUBBLE_NULL(java.lang.Object(List(java.lang.Object(List(x0[0]1, x1[0]1)), x1[0])))∧(U^Increasing(1629_0_BUBBLE_NULL(java.lang.Object(List(x0[1], x1[1])))), ≥))

We simplified constraint (8) using rule (POLY_CONSTRAINTS) which results in the following new constraint:
(9)    (0 ≥ 0 ⇒ (U^Increasing(1629_0_BUBBLE_NULL(java.lang.Object(List(x0[1], x1[1])))), ≥)∧[(259)bni_16 + (-1)Bound*bni_16] + [(12)bni_16]x2[0] + [(72)bni_16]x1[0] + [(432)bni_16]x1[0]1 + [(432)bni_16]x0[0]1 ≥ 0∧[216 + (-1)bso_17] + [12]x2[0] + [60]x1[0] + [360]x1[0]1 + [360]x0[0]1 ≥ 0)

We simplified constraint (9) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:
(10)    (0 ≥ 0 ⇒ (U^Increasing(1629_0_BUBBLE_NULL(java.lang.Object(List(x0[1], x1[1])))), ≥)∧[(259)bni_16 + (-1)Bound*bni_16] + [(12)bni_16]x2[0] + [(72)bni_16]x1[0] + [(432)bni_16]x1[0]1 + [(432)bni_16]x0[0]1 ≥ 0∧[216 + (-1)bso_17] + [12]x2[0] + [60]x1[0] + [360]x1[0]1 + [360]x0[0]1 ≥ 0)

We simplified constraint (10) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:
(11)    (0 ≥ 0 ⇒ (U^Increasing(1629_0_BUBBLE_NULL(java.lang.Object(List(x0[1], x1[1])))), ≥)∧[(259)bni_16 + (-1)Bound*bni_16] + [(12)bni_16]x2[0] + [(72)bni_16]x1[0] + [(432)bni_16]x1[0]1 + [(432)bni_16]x0[0]1 ≥ 0∧[216 + (-1)bso_17] + [12]x2[0] + [60]x1[0] + [360]x1[0]1 + [360]x0[0]1 ≥ 0)

We simplified constraint (11) using rules (IDP_UNRESTRICTED_VARS), (IDP_POLY_GCD) which results in the following new constraint:
(12)    (0 ≥ 0 ⇒ (U^Increasing(1629_0_BUBBLE_NULL(java.lang.Object(List(x0[1], x1[1])))), ≥)∧[(12)bni_16] ≥ 0∧[(72)bni_16] ≥ 0∧[(432)bni_16] ≥ 0∧[(432)bni_16] ≥ 0∧[(259)bni_16 + (-1)Bound*bni_16] ≥ 0∧[216 + (-1)bso_17] ≥ 0∧[1] ≥ 0∧[1] ≥ 0∧[1] ≥ 0∧[1] ≥ 0)
We consider the chain 1629_0_BUBBLE_NULL(java.lang.Object(List(java.lang.Object(List(x0[0], x1[0])), x2[0]))) → COND_1629_0_BUBBLE_NULL(<=(x2[0], x1[0]), java.lang.Object(List(java.lang.Object(List(x0[0], x1[0])), x2[0]))), COND_1629_0_BUBBLE_NULL(TRUE, java.lang.Object(List(java.lang.Object(List(x0[1], x1[1])), x2[1]))) → 1629_0_BUBBLE_NULL(java.lang.Object(List(x0[1], x1[1]))), 1629_0_BUBBLE_NULL(java.lang.Object(List(java.lang.Object(List(x0[2], x1[2])), x2[2]))) → COND_1629_0_BUBBLE_NULL1(>(x2[2], x1[2]), java.lang.Object(List(java.lang.Object(List(x0[2], x1[2])), x2[2]))) which results in the following constraint:
(13)    (<=(x2[0], x1[0])=TRUE∧java.lang.Object(List(java.lang.Object(List(x0[0], x1[0])), x2[0]))=java.lang.Object(List(java.lang.Object(List(x0[1], x1[1])), x2[1]))∧java.lang.Object(List(x0[1], x1[1]))=java.lang.Object(List(java.lang.Object(List(x0[2], x1[2])), x2[2])) ⇒ COND_1629_0_BUBBLE_NULL(TRUE, java.lang.Object(List(java.lang.Object(List(x0[1], x1[1])), x2[1])))≥NonInfC∧COND_1629_0_BUBBLE_NULL(TRUE, java.lang.Object(List(java.lang.Object(List(x0[1], x1[1])), x2[1])))≥1629_0_BUBBLE_NULL(java.lang.Object(List(x0[1], x1[1])))∧(U^Increasing(1629_0_BUBBLE_NULL(java.lang.Object(List(x0[1], x1[1])))), ≥))

We simplified constraint (13) using rules (I), (II), (III), (IV) which results in the following new constraint:
(14)    (<=(x2[0], x1[0])=TRUE ⇒ COND_1629_0_BUBBLE_NULL(TRUE, java.lang.Object(List(java.lang.Object(List(java.lang.Object(List(x0[2], x1[2])), x1[0])), x2[0])))≥NonInfC∧COND_1629_0_BUBBLE_NULL(TRUE, java.lang.Object(List(java.lang.Object(List(java.lang.Object(List(x0[2], x1[2])), x1[0])), x2[0])))≥1629_0_BUBBLE_NULL(java.lang.Object(List(java.lang.Object(List(x0[2], x1[2])), x1[0])))∧(U^Increasing(1629_0_BUBBLE_NULL(java.lang.Object(List(x0[1], x1[1])))), ≥))

We simplified constraint (14) using rule (POLY_CONSTRAINTS) which results in the following new constraint:
(15)    (0 ≥ 0 ⇒ (U^Increasing(1629_0_BUBBLE_NULL(java.lang.Object(List(x0[1], x1[1])))), ≥)∧[(259)bni_16 + (-1)Bound*bni_16] + [(12)bni_16]x2[0] + [(72)bni_16]x1[0] + [(432)bni_16]x1[2] + [(432)bni_16]x0[2] ≥ 0∧[216 + (-1)bso_17] + [12]x2[0] + [60]x1[0] + [360]x1[2] + [360]x0[2] ≥ 0)

We simplified constraint (15) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:
(16)    (0 ≥ 0 ⇒ (U^Increasing(1629_0_BUBBLE_NULL(java.lang.Object(List(x0[1], x1[1])))), ≥)∧[(259)bni_16 + (-1)Bound*bni_16] + [(12)bni_16]x2[0] + [(72)bni_16]x1[0] + [(432)bni_16]x1[2] + [(432)bni_16]x0[2] ≥ 0∧[216 + (-1)bso_17] + [12]x2[0] + [60]x1[0] + [360]x1[2] + [360]x0[2] ≥ 0)

We simplified constraint (16) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:
(17)    (0 ≥ 0 ⇒ (U^Increasing(1629_0_BUBBLE_NULL(java.lang.Object(List(x0[1], x1[1])))), ≥)∧[(259)bni_16 + (-1)Bound*bni_16] + [(12)bni_16]x2[0] + [(72)bni_16]x1[0] + [(432)bni_16]x1[2] + [(432)bni_16]x0[2] ≥ 0∧[216 + (-1)bso_17] + [12]x2[0] + [60]x1[0] + [360]x1[2] + [360]x0[2] ≥ 0)

We simplified constraint (17) using rules (IDP_UNRESTRICTED_VARS), (IDP_POLY_GCD) which results in the following new constraint:
(18)    (0 ≥ 0 ⇒ (U^Increasing(1629_0_BUBBLE_NULL(java.lang.Object(List(x0[1], x1[1])))), ≥)∧[(12)bni_16] ≥ 0∧[(72)bni_16] ≥ 0∧[(432)bni_16] ≥ 0∧[(432)bni_16] ≥ 0∧[(259)bni_16 + (-1)Bound*bni_16] ≥ 0∧[216 + (-1)bso_17] ≥ 0∧[1] ≥ 0∧[1] ≥ 0∧[1] ≥ 0∧[1] ≥ 0)

For Pair 1629_0_BUBBLE_NULL(java.lang.Object(List(java.lang.Object(List(x0, x1)), x2))) → COND_1629_0_BUBBLE_NULL1(>(x2, x1), java.lang.Object(List(java.lang.Object(List(x0, x1)), x2))) the following chains were created:

We consider the chain 1629_0_BUBBLE_NULL(java.lang.Object(List(java.lang.Object(List(x0[2], x1[2])), x2[2]))) → COND_1629_0_BUBBLE_NULL1(>(x2[2], x1[2]), java.lang.Object(List(java.lang.Object(List(x0[2], x1[2])), x2[2]))), COND_1629_0_BUBBLE_NULL1(TRUE, java.lang.Object(List(java.lang.Object(List(x0[3], x1[3])), x2[3]))) → 1629_0_BUBBLE_NULL(java.lang.Object(List(x0[3], x2[3]))) which results in the following constraint:
(19)    (>(x2[2], x1[2])=TRUE∧java.lang.Object(List(java.lang.Object(List(x0[2], x1[2])), x2[2]))=java.lang.Object(List(java.lang.Object(List(x0[3], x1[3])), x2[3])) ⇒ 1629_0_BUBBLE_NULL(java.lang.Object(List(java.lang.Object(List(x0[2], x1[2])), x2[2])))≥NonInfC∧1629_0_BUBBLE_NULL(java.lang.Object(List(java.lang.Object(List(x0[2], x1[2])), x2[2])))≥COND_1629_0_BUBBLE_NULL1(>(x2[2], x1[2]), java.lang.Object(List(java.lang.Object(List(x0[2], x1[2])), x2[2])))∧(U^Increasing(COND_1629_0_BUBBLE_NULL1(>(x2[2], x1[2]), java.lang.Object(List(java.lang.Object(List(x0[2], x1[2])), x2[2])))), ≥))

We simplified constraint (19) using rules (I), (II), (IV) which results in the following new constraint:
(20)    (>(x2[2], x1[2])=TRUE ⇒ 1629_0_BUBBLE_NULL(java.lang.Object(List(java.lang.Object(List(x0[2], x1[2])), x2[2])))≥NonInfC∧1629_0_BUBBLE_NULL(java.lang.Object(List(java.lang.Object(List(x0[2], x1[2])), x2[2])))≥COND_1629_0_BUBBLE_NULL1(>(x2[2], x1[2]), java.lang.Object(List(java.lang.Object(List(x0[2], x1[2])), x2[2])))∧(U^Increasing(COND_1629_0_BUBBLE_NULL1(>(x2[2], x1[2]), java.lang.Object(List(java.lang.Object(List(x0[2], x1[2])), x2[2])))), ≥))

We simplified constraint (20) using rule (POLY_CONSTRAINTS) which results in the following new constraint:
(21)    (0 ≥ 0 ⇒ (U^Increasing(COND_1629_0_BUBBLE_NULL1(>(x2[2], x1[2]), java.lang.Object(List(java.lang.Object(List(x0[2], x1[2])), x2[2])))), ≥)∧[(43)bni_18 + (-1)Bound*bni_18] + [(12)bni_18]x2[2] + [(72)bni_18]x1[2] + [(72)bni_18]x0[2] ≥ 0∧[2 + (-1)bso_19] ≥ 0)

We simplified constraint (21) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:
(22)    (0 ≥ 0 ⇒ (U^Increasing(COND_1629_0_BUBBLE_NULL1(>(x2[2], x1[2]), java.lang.Object(List(java.lang.Object(List(x0[2], x1[2])), x2[2])))), ≥)∧[(43)bni_18 + (-1)Bound*bni_18] + [(12)bni_18]x2[2] + [(72)bni_18]x1[2] + [(72)bni_18]x0[2] ≥ 0∧[2 + (-1)bso_19] ≥ 0)

We simplified constraint (22) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:
(23)    (0 ≥ 0 ⇒ (U^Increasing(COND_1629_0_BUBBLE_NULL1(>(x2[2], x1[2]), java.lang.Object(List(java.lang.Object(List(x0[2], x1[2])), x2[2])))), ≥)∧[(43)bni_18 + (-1)Bound*bni_18] + [(12)bni_18]x2[2] + [(72)bni_18]x1[2] + [(72)bni_18]x0[2] ≥ 0∧[2 + (-1)bso_19] ≥ 0)

We simplified constraint (23) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:
(24)    (0 ≥ 0 ⇒ (U^Increasing(COND_1629_0_BUBBLE_NULL1(>(x2[2], x1[2]), java.lang.Object(List(java.lang.Object(List(x0[2], x1[2])), x2[2])))), ≥)∧[(12)bni_18] ≥ 0∧[(72)bni_18] ≥ 0∧[(72)bni_18] ≥ 0∧[(43)bni_18 + (-1)Bound*bni_18] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[2 + (-1)bso_19] ≥ 0)

For Pair COND_1629_0_BUBBLE_NULL1(TRUE, java.lang.Object(List(java.lang.Object(List(x0, x1)), x2))) → 1629_0_BUBBLE_NULL(java.lang.Object(List(x0, x2))) the following chains were created:

We consider the chain 1629_0_BUBBLE_NULL(java.lang.Object(List(java.lang.Object(List(x0[2], x1[2])), x2[2]))) → COND_1629_0_BUBBLE_NULL1(>(x2[2], x1[2]), java.lang.Object(List(java.lang.Object(List(x0[2], x1[2])), x2[2]))), COND_1629_0_BUBBLE_NULL1(TRUE, java.lang.Object(List(java.lang.Object(List(x0[3], x1[3])), x2[3]))) → 1629_0_BUBBLE_NULL(java.lang.Object(List(x0[3], x2[3]))), 1629_0_BUBBLE_NULL(java.lang.Object(List(java.lang.Object(List(x0[0], x1[0])), x2[0]))) → COND_1629_0_BUBBLE_NULL(<=(x2[0], x1[0]), java.lang.Object(List(java.lang.Object(List(x0[0], x1[0])), x2[0]))) which results in the following constraint:
(25)    (>(x2[2], x1[2])=TRUE∧java.lang.Object(List(java.lang.Object(List(x0[2], x1[2])), x2[2]))=java.lang.Object(List(java.lang.Object(List(x0[3], x1[3])), x2[3]))∧java.lang.Object(List(x0[3], x2[3]))=java.lang.Object(List(java.lang.Object(List(x0[0], x1[0])), x2[0])) ⇒ COND_1629_0_BUBBLE_NULL1(TRUE, java.lang.Object(List(java.lang.Object(List(x0[3], x1[3])), x2[3])))≥NonInfC∧COND_1629_0_BUBBLE_NULL1(TRUE, java.lang.Object(List(java.lang.Object(List(x0[3], x1[3])), x2[3])))≥1629_0_BUBBLE_NULL(java.lang.Object(List(x0[3], x2[3])))∧(U^Increasing(1629_0_BUBBLE_NULL(java.lang.Object(List(x0[3], x2[3])))), ≥))

We simplified constraint (25) using rules (I), (II), (III), (IV) which results in the following new constraint:
(26)    (>(x2[2], x1[2])=TRUE ⇒ COND_1629_0_BUBBLE_NULL1(TRUE, java.lang.Object(List(java.lang.Object(List(java.lang.Object(List(x0[0], x1[0])), x1[2])), x2[2])))≥NonInfC∧COND_1629_0_BUBBLE_NULL1(TRUE, java.lang.Object(List(java.lang.Object(List(java.lang.Object(List(x0[0], x1[0])), x1[2])), x2[2])))≥1629_0_BUBBLE_NULL(java.lang.Object(List(java.lang.Object(List(x0[0], x1[0])), x2[2])))∧(U^Increasing(1629_0_BUBBLE_NULL(java.lang.Object(List(x0[3], x2[3])))), ≥))

We simplified constraint (26) using rule (POLY_CONSTRAINTS) which results in the following new constraint:
(27)    (0 ≥ 0 ⇒ (U^Increasing(1629_0_BUBBLE_NULL(java.lang.Object(List(x0[3], x2[3])))), ≥)∧[(257)bni_20 + (-1)Bound*bni_20] + [(12)bni_20]x2[2] + [(72)bni_20]x1[2] + [(432)bni_20]x1[0] + [(432)bni_20]x0[0] ≥ 0∧[214 + (-1)bso_21] + [72]x1[2] + [360]x1[0] + [360]x0[0] ≥ 0)

We simplified constraint (27) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:
(28)    (0 ≥ 0 ⇒ (U^Increasing(1629_0_BUBBLE_NULL(java.lang.Object(List(x0[3], x2[3])))), ≥)∧[(257)bni_20 + (-1)Bound*bni_20] + [(12)bni_20]x2[2] + [(72)bni_20]x1[2] + [(432)bni_20]x1[0] + [(432)bni_20]x0[0] ≥ 0∧[214 + (-1)bso_21] + [72]x1[2] + [360]x1[0] + [360]x0[0] ≥ 0)

We simplified constraint (28) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:
(29)    (0 ≥ 0 ⇒ (U^Increasing(1629_0_BUBBLE_NULL(java.lang.Object(List(x0[3], x2[3])))), ≥)∧[(257)bni_20 + (-1)Bound*bni_20] + [(12)bni_20]x2[2] + [(72)bni_20]x1[2] + [(432)bni_20]x1[0] + [(432)bni_20]x0[0] ≥ 0∧[214 + (-1)bso_21] + [72]x1[2] + [360]x1[0] + [360]x0[0] ≥ 0)

We simplified constraint (29) using rules (IDP_UNRESTRICTED_VARS), (IDP_POLY_GCD) which results in the following new constraint:
(30)    (0 ≥ 0 ⇒ (U^Increasing(1629_0_BUBBLE_NULL(java.lang.Object(List(x0[3], x2[3])))), ≥)∧[(12)bni_20] ≥ 0∧[(72)bni_20] ≥ 0∧[(432)bni_20] ≥ 0∧[(432)bni_20] ≥ 0∧[(257)bni_20 + (-1)Bound*bni_20] ≥ 0∧0 ≥ 0∧[214 + (-1)bso_21] ≥ 0∧[1] ≥ 0∧[1] ≥ 0∧[1] ≥ 0)
We consider the chain 1629_0_BUBBLE_NULL(java.lang.Object(List(java.lang.Object(List(x0[2], x1[2])), x2[2]))) → COND_1629_0_BUBBLE_NULL1(>(x2[2], x1[2]), java.lang.Object(List(java.lang.Object(List(x0[2], x1[2])), x2[2]))), COND_1629_0_BUBBLE_NULL1(TRUE, java.lang.Object(List(java.lang.Object(List(x0[3], x1[3])), x2[3]))) → 1629_0_BUBBLE_NULL(java.lang.Object(List(x0[3], x2[3]))), 1629_0_BUBBLE_NULL(java.lang.Object(List(java.lang.Object(List(x0[2], x1[2])), x2[2]))) → COND_1629_0_BUBBLE_NULL1(>(x2[2], x1[2]), java.lang.Object(List(java.lang.Object(List(x0[2], x1[2])), x2[2]))) which results in the following constraint:
(31)    (>(x2[2], x1[2])=TRUE∧java.lang.Object(List(java.lang.Object(List(x0[2], x1[2])), x2[2]))=java.lang.Object(List(java.lang.Object(List(x0[3], x1[3])), x2[3]))∧java.lang.Object(List(x0[3], x2[3]))=java.lang.Object(List(java.lang.Object(List(x0[2]1, x1[2]1)), x2[2]1)) ⇒ COND_1629_0_BUBBLE_NULL1(TRUE, java.lang.Object(List(java.lang.Object(List(x0[3], x1[3])), x2[3])))≥NonInfC∧COND_1629_0_BUBBLE_NULL1(TRUE, java.lang.Object(List(java.lang.Object(List(x0[3], x1[3])), x2[3])))≥1629_0_BUBBLE_NULL(java.lang.Object(List(x0[3], x2[3])))∧(U^Increasing(1629_0_BUBBLE_NULL(java.lang.Object(List(x0[3], x2[3])))), ≥))

We simplified constraint (31) using rules (I), (II), (III), (IV) which results in the following new constraint:
(32)    (>(x2[2], x1[2])=TRUE ⇒ COND_1629_0_BUBBLE_NULL1(TRUE, java.lang.Object(List(java.lang.Object(List(java.lang.Object(List(x0[2]1, x1[2]1)), x1[2])), x2[2])))≥NonInfC∧COND_1629_0_BUBBLE_NULL1(TRUE, java.lang.Object(List(java.lang.Object(List(java.lang.Object(List(x0[2]1, x1[2]1)), x1[2])), x2[2])))≥1629_0_BUBBLE_NULL(java.lang.Object(List(java.lang.Object(List(x0[2]1, x1[2]1)), x2[2])))∧(U^Increasing(1629_0_BUBBLE_NULL(java.lang.Object(List(x0[3], x2[3])))), ≥))

We simplified constraint (32) using rule (POLY_CONSTRAINTS) which results in the following new constraint:
(33)    (0 ≥ 0 ⇒ (U^Increasing(1629_0_BUBBLE_NULL(java.lang.Object(List(x0[3], x2[3])))), ≥)∧[(257)bni_20 + (-1)Bound*bni_20] + [(12)bni_20]x2[2] + [(72)bni_20]x1[2] + [(432)bni_20]x1[2]1 + [(432)bni_20]x0[2]1 ≥ 0∧[214 + (-1)bso_21] + [72]x1[2] + [360]x1[2]1 + [360]x0[2]1 ≥ 0)

We simplified constraint (33) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:
(34)    (0 ≥ 0 ⇒ (U^Increasing(1629_0_BUBBLE_NULL(java.lang.Object(List(x0[3], x2[3])))), ≥)∧[(257)bni_20 + (-1)Bound*bni_20] + [(12)bni_20]x2[2] + [(72)bni_20]x1[2] + [(432)bni_20]x1[2]1 + [(432)bni_20]x0[2]1 ≥ 0∧[214 + (-1)bso_21] + [72]x1[2] + [360]x1[2]1 + [360]x0[2]1 ≥ 0)

We simplified constraint (34) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:
(35)    (0 ≥ 0 ⇒ (U^Increasing(1629_0_BUBBLE_NULL(java.lang.Object(List(x0[3], x2[3])))), ≥)∧[(257)bni_20 + (-1)Bound*bni_20] + [(12)bni_20]x2[2] + [(72)bni_20]x1[2] + [(432)bni_20]x1[2]1 + [(432)bni_20]x0[2]1 ≥ 0∧[214 + (-1)bso_21] + [72]x1[2] + [360]x1[2]1 + [360]x0[2]1 ≥ 0)

We simplified constraint (35) using rules (IDP_UNRESTRICTED_VARS), (IDP_POLY_GCD) which results in the following new constraint:
(36)    (0 ≥ 0 ⇒ (U^Increasing(1629_0_BUBBLE_NULL(java.lang.Object(List(x0[3], x2[3])))), ≥)∧[(12)bni_20] ≥ 0∧[(72)bni_20] ≥ 0∧[(432)bni_20] ≥ 0∧[(432)bni_20] ≥ 0∧[(257)bni_20 + (-1)Bound*bni_20] ≥ 0∧0 ≥ 0∧[214 + (-1)bso_21] ≥ 0∧[1] ≥ 0∧[1] ≥ 0∧[1] ≥ 0)

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

1629_0_BUBBLE_NULL(java.lang.Object(List(java.lang.Object(List(x0, x1)), x2))) → COND_1629_0_BUBBLE_NULL(<=(x2, x1), java.lang.Object(List(java.lang.Object(List(x0, x1)), x2)))
- (0 ≥ 0 ⇒ (U^Increasing(COND_1629_0_BUBBLE_NULL(<=(x2[0], x1[0]), java.lang.Object(List(java.lang.Object(List(x0[0], x1[0])), x2[0])))), ≥)∧[(12)bni_14] ≥ 0∧[(72)bni_14] ≥ 0∧[(72)bni_14] ≥ 0∧[(43)bni_14 + (-1)Bound*bni_14] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_15] ≥ 0)
COND_1629_0_BUBBLE_NULL(TRUE, java.lang.Object(List(java.lang.Object(List(x0, x1)), x2))) → 1629_0_BUBBLE_NULL(java.lang.Object(List(x0, x1)))
- (0 ≥ 0 ⇒ (U^Increasing(1629_0_BUBBLE_NULL(java.lang.Object(List(x0[1], x1[1])))), ≥)∧[(12)bni_16] ≥ 0∧[(72)bni_16] ≥ 0∧[(432)bni_16] ≥ 0∧[(432)bni_16] ≥ 0∧[(259)bni_16 + (-1)Bound*bni_16] ≥ 0∧[216 + (-1)bso_17] ≥ 0∧[1] ≥ 0∧[1] ≥ 0∧[1] ≥ 0∧[1] ≥ 0)
- (0 ≥ 0 ⇒ (U^Increasing(1629_0_BUBBLE_NULL(java.lang.Object(List(x0[1], x1[1])))), ≥)∧[(12)bni_16] ≥ 0∧[(72)bni_16] ≥ 0∧[(432)bni_16] ≥ 0∧[(432)bni_16] ≥ 0∧[(259)bni_16 + (-1)Bound*bni_16] ≥ 0∧[216 + (-1)bso_17] ≥ 0∧[1] ≥ 0∧[1] ≥ 0∧[1] ≥ 0∧[1] ≥ 0)
1629_0_BUBBLE_NULL(java.lang.Object(List(java.lang.Object(List(x0, x1)), x2))) → COND_1629_0_BUBBLE_NULL1(>(x2, x1), java.lang.Object(List(java.lang.Object(List(x0, x1)), x2)))
- (0 ≥ 0 ⇒ (U^Increasing(COND_1629_0_BUBBLE_NULL1(>(x2[2], x1[2]), java.lang.Object(List(java.lang.Object(List(x0[2], x1[2])), x2[2])))), ≥)∧[(12)bni_18] ≥ 0∧[(72)bni_18] ≥ 0∧[(72)bni_18] ≥ 0∧[(43)bni_18 + (-1)Bound*bni_18] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[2 + (-1)bso_19] ≥ 0)
COND_1629_0_BUBBLE_NULL1(TRUE, java.lang.Object(List(java.lang.Object(List(x0, x1)), x2))) → 1629_0_BUBBLE_NULL(java.lang.Object(List(x0, x2)))
- (0 ≥ 0 ⇒ (U^Increasing(1629_0_BUBBLE_NULL(java.lang.Object(List(x0[3], x2[3])))), ≥)∧[(12)bni_20] ≥ 0∧[(72)bni_20] ≥ 0∧[(432)bni_20] ≥ 0∧[(432)bni_20] ≥ 0∧[(257)bni_20 + (-1)Bound*bni_20] ≥ 0∧0 ≥ 0∧[214 + (-1)bso_21] ≥ 0∧[1] ≥ 0∧[1] ≥ 0∧[1] ≥ 0)
- (0 ≥ 0 ⇒ (U^Increasing(1629_0_BUBBLE_NULL(java.lang.Object(List(x0[3], x2[3])))), ≥)∧[(12)bni_20] ≥ 0∧[(72)bni_20] ≥ 0∧[(432)bni_20] ≥ 0∧[(432)bni_20] ≥ 0∧[(257)bni_20 + (-1)Bound*bni_20] ≥ 0∧0 ≥ 0∧[214 + (-1)bso_21] ≥ 0∧[1] ≥ 0∧[1] ≥ 0∧[1] ≥ 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 with natural coefficients for non-tuple symbols [NONINF][POLO]:

POL(TRUE) = 0
POL(FALSE) = 0
POL(1629_0_BUBBLE_NULL(x₁)) = [1] + [2]x₁
POL(java.lang.Object(x₁)) = [3] + [3]x₁
POL(List(x₁, x₂)) = [2]x₂ + [2]x₁
POL(COND_1629_0_BUBBLE_NULL(x₁, x₂)) = [1] + [2]x₂
POL(<=(x₁, x₂)) = 0
POL(COND_1629_0_BUBBLE_NULL1(x₁, x₂)) = [-1] + [2]x₂
POL(>(x₁, x₂)) = 0

The following pairs are in P_>:

COND_1629_0_BUBBLE_NULL(TRUE, java.lang.Object(List(java.lang.Object(List(x0[1], x1[1])), x2[1]))) → 1629_0_BUBBLE_NULL(java.lang.Object(List(x0[1], x1[1])))
1629_0_BUBBLE_NULL(java.lang.Object(List(java.lang.Object(List(x0[2], x1[2])), x2[2]))) → COND_1629_0_BUBBLE_NULL1(>(x2[2], x1[2]), java.lang.Object(List(java.lang.Object(List(x0[2], x1[2])), x2[2])))
COND_1629_0_BUBBLE_NULL1(TRUE, java.lang.Object(List(java.lang.Object(List(x0[3], x1[3])), x2[3]))) → 1629_0_BUBBLE_NULL(java.lang.Object(List(x0[3], x2[3])))

The following pairs are in P_bound:

1629_0_BUBBLE_NULL(java.lang.Object(List(java.lang.Object(List(x0[0], x1[0])), x2[0]))) → COND_1629_0_BUBBLE_NULL(<=(x2[0], x1[0]), java.lang.Object(List(java.lang.Object(List(x0[0], x1[0])), x2[0])))
COND_1629_0_BUBBLE_NULL(TRUE, java.lang.Object(List(java.lang.Object(List(x0[1], x1[1])), x2[1]))) → 1629_0_BUBBLE_NULL(java.lang.Object(List(x0[1], x1[1])))
1629_0_BUBBLE_NULL(java.lang.Object(List(java.lang.Object(List(x0[2], x1[2])), x2[2]))) → COND_1629_0_BUBBLE_NULL1(>(x2[2], x1[2]), java.lang.Object(List(java.lang.Object(List(x0[2], x1[2])), x2[2])))
COND_1629_0_BUBBLE_NULL1(TRUE, java.lang.Object(List(java.lang.Object(List(x0[3], x1[3])), x2[3]))) → 1629_0_BUBBLE_NULL(java.lang.Object(List(x0[3], x2[3])))

The following pairs are in P_≥:

1629_0_BUBBLE_NULL(java.lang.Object(List(java.lang.Object(List(x0[0], x1[0])), x2[0]))) → COND_1629_0_BUBBLE_NULL(<=(x2[0], x1[0]), java.lang.Object(List(java.lang.Object(List(x0[0], x1[0])), x2[0])))

There are no usable rules.

(9) 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

(10) IDependencyGraphProof (EQUIVALENT transformation)

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

(11) TRUE

(12) Obligation:

SCC of termination graph based on JBC Program.
SCC contains nodes from the following methods: Test7.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:
874_0_length_NULL(EOS(STATIC_874), java.lang.Object(o199sub), java.lang.Object(o199sub)) → 876_0_length_NULL(EOS(STATIC_876), java.lang.Object(o199sub), java.lang.Object(o199sub))
876_0_length_NULL(EOS(STATIC_876), java.lang.Object(o199sub), java.lang.Object(o199sub)) → 879_0_length_Load(EOS(STATIC_879), java.lang.Object(o199sub))
879_0_length_Load(EOS(STATIC_879), java.lang.Object(o199sub)) → 883_0_length_InvokeMethod(EOS(STATIC_883), java.lang.Object(o199sub))
883_0_length_InvokeMethod(EOS(STATIC_883), java.lang.Object(o199sub)) → 886_0_getTail_Load(EOS(STATIC_886), java.lang.Object(o199sub), java.lang.Object(o199sub))
886_0_getTail_Load(EOS(STATIC_886), java.lang.Object(o199sub), java.lang.Object(o199sub)) → 893_0_getTail_FieldAccess(EOS(STATIC_893), java.lang.Object(o199sub), java.lang.Object(o199sub))
893_0_getTail_FieldAccess(EOS(STATIC_893), java.lang.Object(o199sub), java.lang.Object(o199sub)) → 897_0_getTail_FieldAccess(EOS(STATIC_897), java.lang.Object(o199sub), java.lang.Object(o199sub))
893_0_getTail_FieldAccess(EOS(STATIC_893), java.lang.Object(o199sub), java.lang.Object(o199sub)) → 898_0_getTail_FieldAccess(EOS(STATIC_898), java.lang.Object(o199sub), java.lang.Object(o199sub))
897_0_getTail_FieldAccess(EOS(STATIC_897), java.lang.Object(List(EOC, o203)), java.lang.Object(List(EOC, o203))) → 902_0_getTail_FieldAccess(EOS(STATIC_902), java.lang.Object(List(EOC, o203)), java.lang.Object(List(EOC, o203)))
902_0_getTail_FieldAccess(EOS(STATIC_902), java.lang.Object(List(EOC, o203)), java.lang.Object(List(EOC, o203))) → 907_0_getTail_Return(EOS(STATIC_907), java.lang.Object(List(EOC, o203)), o203)
907_0_getTail_Return(EOS(STATIC_907), java.lang.Object(List(EOC, o203)), o203) → 911_0_length_Store(EOS(STATIC_911), o203)
911_0_length_Store(EOS(STATIC_911), o203) → 916_0_length_Inc(EOS(STATIC_916), o203)
916_0_length_Inc(EOS(STATIC_916), o203) → 920_0_length_JMP(EOS(STATIC_920), o203)
920_0_length_JMP(EOS(STATIC_920), o203) → 925_0_length_Load(EOS(STATIC_925), o203)
925_0_length_Load(EOS(STATIC_925), o203) → 870_0_length_Load(EOS(STATIC_870), o203)
870_0_length_Load(EOS(STATIC_870), o186) → 874_0_length_NULL(EOS(STATIC_874), o186, o186)
898_0_getTail_FieldAccess(EOS(STATIC_898), java.lang.Object(List(EOC, o205)), java.lang.Object(List(EOC, o205))) → 904_0_getTail_FieldAccess(EOS(STATIC_904), java.lang.Object(List(EOC, o205)), java.lang.Object(List(EOC, o205)))
904_0_getTail_FieldAccess(EOS(STATIC_904), java.lang.Object(List(EOC, o205)), java.lang.Object(List(EOC, o205))) → 909_0_getTail_Return(EOS(STATIC_909), java.lang.Object(List(EOC, o205)), o205)
909_0_getTail_Return(EOS(STATIC_909), java.lang.Object(List(EOC, o205)), o205) → 912_0_length_Store(EOS(STATIC_912), o205)
912_0_length_Store(EOS(STATIC_912), o205) → 917_0_length_Inc(EOS(STATIC_917), o205)
917_0_length_Inc(EOS(STATIC_917), o205) → 921_0_length_JMP(EOS(STATIC_921), o205)
921_0_length_JMP(EOS(STATIC_921), o205) → 926_0_length_Load(EOS(STATIC_926), o205)
926_0_length_Load(EOS(STATIC_926), o205) → 870_0_length_Load(EOS(STATIC_870), o205)
R rules:

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

P rules:
874_0_length_NULL(EOS(STATIC_874), java.lang.Object(List(EOC, x0)), java.lang.Object(List(EOC, x0))) → 874_0_length_NULL(EOS(STATIC_874), x0, x0)
R rules:

Filtered ground terms:

874_0_length_NULL(x1, x2, x3) → 874_0_length_NULL(x2, x3)
EOS(x1) → EOS
List(x1, x2) → List(x2)

Filtered duplicate args:

874_0_length_NULL(x1, x2) → 874_0_length_NULL(x2)

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

P rules:
874_0_length_NULL(java.lang.Object(List(x0))) → 874_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:
874_0_LENGTH_NULL(java.lang.Object(List(x0))) → 874_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): 874_0_LENGTH_NULL(java.lang.Object(List(x0[0]))) → 874_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:

874_0_LENGTH_NULL(java.lang.Object(List(x0[0]))) → 874_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:

874_0_LENGTH_NULL(java.lang.Object(List(x0[0]))) → 874_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 21 rules for P and 0 rules for R.

P rules:
595_0_mk_Inc(EOS(STATIC_595), i73, o86, i73) → 602_0_mk_LE(EOS(STATIC_602), +(i73, -1), o86, i73)
602_0_mk_LE(EOS(STATIC_602), i80, o86, i84) → 611_0_mk_LE(EOS(STATIC_611), i80, o86, i84)
611_0_mk_LE(EOS(STATIC_611), i80, o86, i84) → 616_0_mk_New(EOS(STATIC_616), i80, o86) | >(i84, 0)
616_0_mk_New(EOS(STATIC_616), i80, o86) → 626_0_mk_Duplicate(EOS(STATIC_626), i80, o86, java.lang.Object(List(EOC)))
626_0_mk_Duplicate(EOS(STATIC_626), i80, o86, java.lang.Object(List(EOC))) → 635_0_mk_Load(EOS(STATIC_635), i80, o86, java.lang.Object(List(EOC)), java.lang.Object(List(EOC)))
635_0_mk_Load(EOS(STATIC_635), i80, o86, java.lang.Object(List(EOC)), java.lang.Object(List(EOC))) → 650_0_mk_Load(EOS(STATIC_650), i80, o86, java.lang.Object(List(EOC)), java.lang.Object(List(EOC)), i80)
650_0_mk_Load(EOS(STATIC_650), i80, o86, java.lang.Object(List(EOC)), java.lang.Object(List(EOC)), i80) → 672_0_mk_InvokeMethod(EOS(STATIC_672), i80, java.lang.Object(List(EOC)), java.lang.Object(List(EOC)), i80, o86)
672_0_mk_InvokeMethod(EOS(STATIC_672), i80, java.lang.Object(List(EOC)), java.lang.Object(List(EOC)), i80, o86) → 680_0_<init>_Load(EOS(STATIC_680), i80, java.lang.Object(List(EOC)), java.lang.Object(List(EOC)), i80, o86, java.lang.Object(List(EOC)), i80, o86)
680_0_<init>_Load(EOS(STATIC_680), i80, java.lang.Object(List(EOC)), java.lang.Object(List(EOC)), i80, o86, java.lang.Object(List(EOC)), i80, o86) → 692_0_<init>_InvokeMethod(EOS(STATIC_692), i80, java.lang.Object(List(EOC)), java.lang.Object(List(EOC)), i80, o86, java.lang.Object(List(EOC)), i80, o86, java.lang.Object(List(EOC)))
692_0_<init>_InvokeMethod(EOS(STATIC_692), i80, java.lang.Object(List(EOC)), java.lang.Object(List(EOC)), i80, o86, java.lang.Object(List(EOC)), i80, o86, java.lang.Object(List(EOC))) → 702_0_<init>_Load(EOS(STATIC_702), i80, java.lang.Object(List(EOC)), java.lang.Object(List(EOC)), i80, o86, java.lang.Object(List(EOC)), i80, o86)
702_0_<init>_Load(EOS(STATIC_702), i80, java.lang.Object(List(EOC)), java.lang.Object(List(EOC)), i80, o86, java.lang.Object(List(EOC)), i80, o86) → 705_0_<init>_Load(EOS(STATIC_705), i80, java.lang.Object(List(EOC)), java.lang.Object(List(EOC)), i80, o86, java.lang.Object(List(EOC)), i80, o86, java.lang.Object(List(EOC)))
705_0_<init>_Load(EOS(STATIC_705), i80, java.lang.Object(List(EOC)), java.lang.Object(List(EOC)), i80, o86, java.lang.Object(List(EOC)), i80, o86, java.lang.Object(List(EOC))) → 708_0_<init>_FieldAccess(EOS(STATIC_708), i80, java.lang.Object(List(EOC)), java.lang.Object(List(EOC)), i80, o86, java.lang.Object(List(EOC)), o86, java.lang.Object(List(EOC)), i80)
708_0_<init>_FieldAccess(EOS(STATIC_708), i80, java.lang.Object(List(EOC)), java.lang.Object(List(EOC)), i80, o86, java.lang.Object(List(EOC)), o86, java.lang.Object(List(EOC)), i80) → 714_0_<init>_Load(EOS(STATIC_714), i80, java.lang.Object(List(EOC)), java.lang.Object(List(EOC)), i80, o86, java.lang.Object(List(EOC)), o86)
714_0_<init>_Load(EOS(STATIC_714), i80, java.lang.Object(List(EOC)), java.lang.Object(List(EOC)), i80, o86, java.lang.Object(List(EOC)), o86) → 720_0_<init>_Load(EOS(STATIC_720), i80, java.lang.Object(List(EOC)), java.lang.Object(List(EOC)), i80, o86, o86, java.lang.Object(List(EOC)))
720_0_<init>_Load(EOS(STATIC_720), i80, java.lang.Object(List(EOC)), java.lang.Object(List(EOC)), i80, o86, o86, java.lang.Object(List(EOC))) → 725_0_<init>_FieldAccess(EOS(STATIC_725), i80, java.lang.Object(List(EOC)), java.lang.Object(List(EOC)), i80, o86, java.lang.Object(List(EOC)), o86)
725_0_<init>_FieldAccess(EOS(STATIC_725), i80, java.lang.Object(List(EOC)), java.lang.Object(List(EOC)), i80, o86, java.lang.Object(List(EOC)), o86) → 731_0_<init>_Return(EOS(STATIC_731), i80, java.lang.Object(List(EOC)), java.lang.Object(List(EOC)), i80, o86)
731_0_<init>_Return(EOS(STATIC_731), i80, java.lang.Object(List(EOC)), java.lang.Object(List(EOC)), i80, o86) → 737_0_mk_Store(EOS(STATIC_737), i80, java.lang.Object(List(EOC)))
737_0_mk_Store(EOS(STATIC_737), i80, java.lang.Object(List(EOC))) → 745_0_mk_JMP(EOS(STATIC_745), i80, java.lang.Object(List(EOC)))
745_0_mk_JMP(EOS(STATIC_745), i80, java.lang.Object(List(EOC))) → 753_0_mk_Load(EOS(STATIC_753), i80, java.lang.Object(List(EOC)))
753_0_mk_Load(EOS(STATIC_753), i80, java.lang.Object(List(EOC))) → 570_0_mk_Load(EOS(STATIC_570), i80, java.lang.Object(List(EOC)))
570_0_mk_Load(EOS(STATIC_570), i73, o86) → 595_0_mk_Inc(EOS(STATIC_595), i73, o86, i73)
R rules:

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

P rules:
595_0_mk_Inc(EOS(STATIC_595), x0, x1, x0) → 595_0_mk_Inc(EOS(STATIC_595), +(x0, -1), java.lang.Object(List(EOC)), +(x0, -1)) | >(x0, 0)
R rules:

Filtered ground terms:

595_0_mk_Inc(x1, x2, x3, x4) → 595_0_mk_Inc(x2, x3, x4)
List(x1) → List
java.lang.Object(x1) → java.lang.Object
EOS(x1) → EOS
Cond_595_0_mk_Inc(x1, x2, x3, x4, x5) → Cond_595_0_mk_Inc(x1, x3, x4, x5)

Filtered duplicate args:

595_0_mk_Inc(x1, x2, x3) → 595_0_mk_Inc(x2, x3)
Cond_595_0_mk_Inc(x1, x2, x3, x4) → Cond_595_0_mk_Inc(x1, x3, x4)

Filtered unneeded arguments:

Cond_595_0_mk_Inc(x1, x2, x3) → Cond_595_0_mk_Inc(x1, x3)
595_0_mk_Inc(x1, x2) → 595_0_mk_Inc(x2)

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

P rules:
595_0_mk_Inc(x0) → 595_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:
595_0_MK_INC(x0) → COND_595_0_MK_INC(>(x0, 0), x0)
COND_595_0_MK_INC(TRUE, x0) → 595_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): 595_0_MK_INC(x0[0]) → COND_595_0_MK_INC(x0[0] > 0, x0[0])
(1): COND_595_0_MK_INC(TRUE, x0[1]) → 595_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@119cb48 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 595_0_MK_INC(x0) → COND_595_0_MK_INC(>(x0, 0), x0) the following chains were created:

We consider the chain 595_0_MK_INC(x0[0]) → COND_595_0_MK_INC(>(x0[0], 0), x0[0]), COND_595_0_MK_INC(TRUE, x0[1]) → 595_0_MK_INC(+(x0[1], -1)) which results in the following constraint:
(1)    (>(x0[0], 0)=TRUE∧x0[0]=x0[1] ⇒ 595_0_MK_INC(x0[0])≥NonInfC∧595_0_MK_INC(x0[0])≥COND_595_0_MK_INC(>(x0[0], 0), x0[0])∧(U^Increasing(COND_595_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 ⇒ 595_0_MK_INC(x0[0])≥NonInfC∧595_0_MK_INC(x0[0])≥COND_595_0_MK_INC(>(x0[0], 0), x0[0])∧(U^Increasing(COND_595_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_595_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_595_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_595_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_595_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_595_0_MK_INC(TRUE, x0) → 595_0_MK_INC(+(x0, -1)) the following chains were created:

We consider the chain COND_595_0_MK_INC(TRUE, x0[1]) → 595_0_MK_INC(+(x0[1], -1)) which results in the following constraint:
(7)    (COND_595_0_MK_INC(TRUE, x0[1])≥NonInfC∧COND_595_0_MK_INC(TRUE, x0[1])≥595_0_MK_INC(+(x0[1], -1))∧(U^Increasing(595_0_MK_INC(+(x0[1], -1))), ≥))

We simplified constraint (7) using rule (POLY_CONSTRAINTS) which results in the following new constraint:
(8)    ((U^Increasing(595_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(595_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(595_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(595_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.

595_0_MK_INC(x0) → COND_595_0_MK_INC(>(x0, 0), x0)
- (x0[0] ≥ 0 ⇒ (U^Increasing(COND_595_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_595_0_MK_INC(TRUE, x0) → 595_0_MK_INC(+(x0, -1))
- ((U^Increasing(595_0_MK_INC(+(x0[1], -1))), ≥)∧[bni_10] = 0∧0 = 0∧[2 + (-1)bso_11] ≥ 0)

POL(TRUE) = 0
POL(FALSE) = 0
POL(595_0_MK_INC(x₁)) = [2]x₁
POL(COND_595_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_595_0_MK_INC(TRUE, x0[1]) → 595_0_MK_INC(+(x0[1], -1))

The following pairs are in P_bound:

595_0_MK_INC(x0[0]) → COND_595_0_MK_INC(>(x0[0], 0), x0[0])

The following pairs are in P_≥:

595_0_MK_INC(x0[0]) → COND_595_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): 595_0_MK_INC(x0[0]) → COND_595_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_595_0_MK_INC(TRUE, x0[1]) → 595_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: Test7.main([Ljava/lang/String;)V
SCC calls the following helper methods: Test7.length(LList;)I, Test7.bubble(LList;)V
Performed SCC analyses: UsedFieldsAnalysis

(31) SCCToIDPv1Proof (SOUND transformation)

Transformed FIGraph SCCs to IDPs. Log:

Generated 41 rules for P and 177 rules for R.

P rules:
948_0_main_Load(EOS(STATIC_948), java.lang.Object(ARRAY(matching1)), i137, i137) → 950_0_main_ArrayLength(EOS(STATIC_950), java.lang.Object(ARRAY(3)), i137, i137, java.lang.Object(ARRAY(3))) | =(matching1, 3)
950_0_main_ArrayLength(EOS(STATIC_950), java.lang.Object(ARRAY(matching1)), i137, i137, java.lang.Object(ARRAY(matching2))) → 953_0_main_GE(EOS(STATIC_953), java.lang.Object(ARRAY(3)), i137, i137, 3) | &&(&&(>=(3, 0), =(matching1, 3)), =(matching2, 3))
953_0_main_GE(EOS(STATIC_953), java.lang.Object(ARRAY(matching1)), i140, i140, matching2) → 955_0_main_GE(EOS(STATIC_955), java.lang.Object(ARRAY(3)), i140, i140, 3) | &&(=(matching1, 3), =(matching2, 3))
955_0_main_GE(EOS(STATIC_955), java.lang.Object(ARRAY(matching1)), i140, i140, matching2) → 958_0_main_Load(EOS(STATIC_958), java.lang.Object(ARRAY(3)), i140) | &&(&&(<(i140, 3), =(matching1, 3)), =(matching2, 3))
958_0_main_Load(EOS(STATIC_958), java.lang.Object(ARRAY(matching1)), i140) → 961_0_main_ConstantStackPush(EOS(STATIC_961), java.lang.Object(ARRAY(3)), i140, java.lang.Object(ARRAY(3))) | =(matching1, 3)
961_0_main_ConstantStackPush(EOS(STATIC_961), java.lang.Object(ARRAY(matching1)), i140, java.lang.Object(ARRAY(matching2))) → 965_0_main_ArrayAccess(EOS(STATIC_965), java.lang.Object(ARRAY(3)), i140, java.lang.Object(ARRAY(3)), 0) | &&(=(matching1, 3), =(matching2, 3))
965_0_main_ArrayAccess(EOS(STATIC_965), java.lang.Object(ARRAY(matching1)), i140, java.lang.Object(ARRAY(matching2)), matching3) → 967_0_main_InvokeMethod(EOS(STATIC_967), java.lang.Object(ARRAY(3)), i140, o217) | &&(&&(&&(<(0, 3), =(matching1, 3)), =(matching2, 3)), =(matching3, 0))
967_0_main_InvokeMethod(EOS(STATIC_967), java.lang.Object(ARRAY(matching1)), i140, o217) → 968_1_main_InvokeMethod(968_0_length_ConstantStackPush(EOS(STATIC_968), o217), java.lang.Object(ARRAY(3)), i140, o217) | =(matching1, 3)
968_1_main_InvokeMethod(884_0_length_Return(EOS(STATIC_884), i126), java.lang.Object(ARRAY(matching1)), i140, o230) → 976_0_length_Return(EOS(STATIC_976), java.lang.Object(ARRAY(3)), i140, o230, i126) | =(matching1, 3)
976_0_length_Return(EOS(STATIC_976), java.lang.Object(ARRAY(matching1)), i140, o230, i126) → 978_0_main_Store(EOS(STATIC_978), java.lang.Object(ARRAY(3)), i140, i126) | =(matching1, 3)
978_0_main_Store(EOS(STATIC_978), java.lang.Object(ARRAY(matching1)), i140, i126) → 980_0_main_ConstantStackPush(EOS(STATIC_980), java.lang.Object(ARRAY(3)), i140, i126) | =(matching1, 3)
980_0_main_ConstantStackPush(EOS(STATIC_980), java.lang.Object(ARRAY(matching1)), i140, i126) → 982_0_main_Store(EOS(STATIC_982), java.lang.Object(ARRAY(3)), i140, i126, 0) | =(matching1, 3)
982_0_main_Store(EOS(STATIC_982), java.lang.Object(ARRAY(matching1)), i140, i126, matching2) → 984_0_main_Load(EOS(STATIC_984), java.lang.Object(ARRAY(3)), i140, i126, 0) | &&(=(matching1, 3), =(matching2, 0))
984_0_main_Load(EOS(STATIC_984), java.lang.Object(ARRAY(matching1)), i140, i126, matching2) → 1053_0_main_Load(EOS(STATIC_1053), java.lang.Object(ARRAY(3)), i140, i126, 0) | &&(=(matching1, 3), =(matching2, 0))
1053_0_main_Load(EOS(STATIC_1053), java.lang.Object(ARRAY(matching1)), i140, i150, i151) → 1140_0_main_Load(EOS(STATIC_1140), java.lang.Object(ARRAY(3)), i140, i150, i151) | =(matching1, 3)
1140_0_main_Load(EOS(STATIC_1140), java.lang.Object(ARRAY(matching1)), i140, i150, i163) → 1228_0_main_Load(EOS(STATIC_1228), java.lang.Object(ARRAY(3)), i140, i150, i163) | =(matching1, 3)
1228_0_main_Load(EOS(STATIC_1228), java.lang.Object(ARRAY(matching1)), i140, i150, i177) → 1339_0_main_Load(EOS(STATIC_1339), java.lang.Object(ARRAY(3)), i140, i150, i177) | =(matching1, 3)
1339_0_main_Load(EOS(STATIC_1339), java.lang.Object(ARRAY(matching1)), i140, i150, i189) → 1352_0_main_Load(EOS(STATIC_1352), java.lang.Object(ARRAY(3)), i140, i150, i189, i189) | =(matching1, 3)
1352_0_main_Load(EOS(STATIC_1352), java.lang.Object(ARRAY(matching1)), i140, i150, i189, i189) → 1366_0_main_GE(EOS(STATIC_1366), java.lang.Object(ARRAY(3)), i140, i150, i189, i189, i150) | =(matching1, 3)
1366_0_main_GE(EOS(STATIC_1366), java.lang.Object(ARRAY(matching1)), i140, i150, i189, i189, i150) → 1382_0_main_GE(EOS(STATIC_1382), java.lang.Object(ARRAY(3)), i140, i150, i189, i189, i150) | =(matching1, 3)
1366_0_main_GE(EOS(STATIC_1366), java.lang.Object(ARRAY(matching1)), i140, i150, i189, i189, i150) → 1383_0_main_GE(EOS(STATIC_1383), java.lang.Object(ARRAY(3)), i140, i150, i189, i189, i150) | =(matching1, 3)
1382_0_main_GE(EOS(STATIC_1382), java.lang.Object(ARRAY(matching1)), i140, i150, i189, i189, i150) → 1396_0_main_Inc(EOS(STATIC_1396), java.lang.Object(ARRAY(3)), i140) | &&(>=(i189, i150), =(matching1, 3))
1396_0_main_Inc(EOS(STATIC_1396), java.lang.Object(ARRAY(matching1)), i140) → 1408_0_main_JMP(EOS(STATIC_1408), java.lang.Object(ARRAY(3)), +(i140, 1)) | &&(>=(i140, 0), =(matching1, 3))
1408_0_main_JMP(EOS(STATIC_1408), java.lang.Object(ARRAY(matching1)), i209) → 1428_0_main_Load(EOS(STATIC_1428), java.lang.Object(ARRAY(3)), i209) | =(matching1, 3)
1428_0_main_Load(EOS(STATIC_1428), java.lang.Object(ARRAY(matching1)), i209) → 946_0_main_Load(EOS(STATIC_946), java.lang.Object(ARRAY(3)), i209) | =(matching1, 3)
946_0_main_Load(EOS(STATIC_946), java.lang.Object(ARRAY(matching1)), i137) → 948_0_main_Load(EOS(STATIC_948), java.lang.Object(ARRAY(3)), i137, i137) | =(matching1, 3)
1383_0_main_GE(EOS(STATIC_1383), java.lang.Object(ARRAY(matching1)), i140, i150, i189, i189, i150) → 1398_0_main_Load(EOS(STATIC_1398), java.lang.Object(ARRAY(3)), i140, i150, i189) | &&(<(i189, i150), =(matching1, 3))
1398_0_main_Load(EOS(STATIC_1398), java.lang.Object(ARRAY(matching1)), i140, i150, i189) → 1410_0_main_ConstantStackPush(EOS(STATIC_1410), java.lang.Object(ARRAY(3)), i140, i150, i189, java.lang.Object(ARRAY(3))) | =(matching1, 3)
1410_0_main_ConstantStackPush(EOS(STATIC_1410), java.lang.Object(ARRAY(matching1)), i140, i150, i189, java.lang.Object(ARRAY(matching2))) → 1429_0_main_ArrayAccess(EOS(STATIC_1429), java.lang.Object(ARRAY(3)), i140, i150, i189, java.lang.Object(ARRAY(3)), 0) | &&(=(matching1, 3), =(matching2, 3))
1429_0_main_ArrayAccess(EOS(STATIC_1429), java.lang.Object(ARRAY(matching1)), i140, i150, i189, java.lang.Object(ARRAY(matching2)), matching3) → 1445_0_main_InvokeMethod(EOS(STATIC_1445), java.lang.Object(ARRAY(3)), i140, i150, i189, o416) | &&(&&(&&(<(0, 3), =(matching1, 3)), =(matching2, 3)), =(matching3, 0))
1445_0_main_InvokeMethod(EOS(STATIC_1445), java.lang.Object(ARRAY(matching1)), i140, i150, i189, o416) → 1454_1_main_InvokeMethod(1454_0_bubble_Load(EOS(STATIC_1454), o416), java.lang.Object(ARRAY(3)), i140, i150, i189, o416) | =(matching1, 3)
1454_1_main_InvokeMethod(1634_0_bubble_Return(EOS(STATIC_1634)), java.lang.Object(ARRAY(matching1)), i140, i150, i189, o416) → 1643_0_bubble_Return(EOS(STATIC_1643), java.lang.Object(ARRAY(3)), i140, i150, i189, o1102) | =(matching1, 3)
1454_1_main_InvokeMethod(1666_0_bubble_Return(EOS(STATIC_1666)), java.lang.Object(ARRAY(matching1)), i140, i150, i189, o416) → 1686_0_bubble_Return(EOS(STATIC_1686), java.lang.Object(ARRAY(3)), i140, i150, i189, o1102) | =(matching1, 3)
1454_1_main_InvokeMethod(1669_0_bubble_Return(EOS(STATIC_1669)), java.lang.Object(ARRAY(matching1)), i140, i150, i189, o416) → 1691_0_bubble_Return(EOS(STATIC_1691), java.lang.Object(ARRAY(3)), i140, i150, i189, java.lang.Object(List(EOC))) | =(matching1, 3)
1643_0_bubble_Return(EOS(STATIC_1643), java.lang.Object(ARRAY(matching1)), i140, i150, i189, o1102) → 1499_0_bubble_Return(EOS(STATIC_1499), java.lang.Object(ARRAY(3)), i140, i150, i189, o1102) | =(matching1, 3)
1499_0_bubble_Return(EOS(STATIC_1499), java.lang.Object(ARRAY(matching1)), i140, i150, i189, o688) → 1511_0_main_Inc(EOS(STATIC_1511), java.lang.Object(ARRAY(3)), i140, i150, i189) | =(matching1, 3)
1511_0_main_Inc(EOS(STATIC_1511), java.lang.Object(ARRAY(matching1)), i140, i150, i189) → 1518_0_main_JMP(EOS(STATIC_1518), java.lang.Object(ARRAY(3)), i140, i150, +(i189, 1)) | &&(>=(i189, 0), =(matching1, 3))
1518_0_main_JMP(EOS(STATIC_1518), java.lang.Object(ARRAY(matching1)), i140, i150, i234) → 1524_0_main_Load(EOS(STATIC_1524), java.lang.Object(ARRAY(3)), i140, i150, i234) | =(matching1, 3)
1524_0_main_Load(EOS(STATIC_1524), java.lang.Object(ARRAY(matching1)), i140, i150, i234) → 1339_0_main_Load(EOS(STATIC_1339), java.lang.Object(ARRAY(3)), i140, i150, i234) | =(matching1, 3)
1686_0_bubble_Return(EOS(STATIC_1686), java.lang.Object(ARRAY(matching1)), i140, i150, i189, o1102) → 1499_0_bubble_Return(EOS(STATIC_1499), java.lang.Object(ARRAY(3)), i140, i150, i189, o1102) | =(matching1, 3)
1691_0_bubble_Return(EOS(STATIC_1691), java.lang.Object(ARRAY(matching1)), i140, i150, i189, java.lang.Object(List(EOC))) → 1499_0_bubble_Return(EOS(STATIC_1499), java.lang.Object(ARRAY(3)), i140, i150, i189, java.lang.Object(List(EOC))) | =(matching1, 3)
R rules:
968_0_length_ConstantStackPush(EOS(STATIC_968), o217) → 971_0_length_ConstantStackPush(EOS(STATIC_971), o217)
971_0_length_ConstantStackPush(EOS(STATIC_971), o217) → 421_0_length_ConstantStackPush(EOS(STATIC_421), o217)
1454_0_bubble_Load(EOS(STATIC_1454), o416) → 1461_0_bubble_Load(EOS(STATIC_1461), o416)
1461_0_bubble_Load(EOS(STATIC_1461), o416) → 1011_0_bubble_Load(EOS(STATIC_1011), o416)
421_0_length_ConstantStackPush(EOS(STATIC_421), o22) → 425_0_length_Store(EOS(STATIC_425), o22, 0)
425_0_length_Store(EOS(STATIC_425), o22, matching1) → 431_0_length_Load(EOS(STATIC_431), o22, 0) | =(matching1, 0)
431_0_length_Load(EOS(STATIC_431), o22, matching1) → 543_0_length_Load(EOS(STATIC_543), o22, 0) | =(matching1, 0)
543_0_length_Load(EOS(STATIC_543), o73, i71) → 700_0_length_Load(EOS(STATIC_700), o73, i71)
700_0_length_Load(EOS(STATIC_700), o126, i99) → 782_0_length_Load(EOS(STATIC_782), o126, i99)
782_0_length_Load(EOS(STATIC_782), o154, i107) → 870_0_length_Load(EOS(STATIC_870), o154, i107)
870_0_length_Load(EOS(STATIC_870), o186, i126) → 874_0_length_NULL(EOS(STATIC_874), o186, i126, o186)
874_0_length_NULL(EOS(STATIC_874), java.lang.Object(o199sub), i126, java.lang.Object(o199sub)) → 876_0_length_NULL(EOS(STATIC_876), java.lang.Object(o199sub), i126, java.lang.Object(o199sub))
874_0_length_NULL(EOS(STATIC_874), NULL, i126, NULL) → 877_0_length_NULL(EOS(STATIC_877), NULL, i126, NULL)
876_0_length_NULL(EOS(STATIC_876), java.lang.Object(o199sub), i126, java.lang.Object(o199sub)) → 879_0_length_Load(EOS(STATIC_879), java.lang.Object(o199sub), i126)
877_0_length_NULL(EOS(STATIC_877), NULL, i126, NULL) → 881_0_length_Load(EOS(STATIC_881), i126)
879_0_length_Load(EOS(STATIC_879), java.lang.Object(o199sub), i126) → 883_0_length_InvokeMethod(EOS(STATIC_883), i126, java.lang.Object(o199sub))
881_0_length_Load(EOS(STATIC_881), i126) → 884_0_length_Return(EOS(STATIC_884), i126)
883_0_length_InvokeMethod(EOS(STATIC_883), i126, java.lang.Object(o199sub)) → 886_0_getTail_Load(EOS(STATIC_886), i126, java.lang.Object(o199sub), java.lang.Object(o199sub))
886_0_getTail_Load(EOS(STATIC_886), i126, java.lang.Object(o199sub), java.lang.Object(o199sub)) → 893_0_getTail_FieldAccess(EOS(STATIC_893), i126, java.lang.Object(o199sub), java.lang.Object(o199sub))
893_0_getTail_FieldAccess(EOS(STATIC_893), i126, java.lang.Object(o199sub), java.lang.Object(o199sub)) → 897_0_getTail_FieldAccess(EOS(STATIC_897), i126, java.lang.Object(o199sub), java.lang.Object(o199sub))
893_0_getTail_FieldAccess(EOS(STATIC_893), i126, java.lang.Object(o199sub), java.lang.Object(o199sub)) → 898_0_getTail_FieldAccess(EOS(STATIC_898), i126, java.lang.Object(o199sub), java.lang.Object(o199sub))
897_0_getTail_FieldAccess(EOS(STATIC_897), i126, java.lang.Object(List(EOC)), java.lang.Object(List(EOC))) → 902_0_getTail_FieldAccess(EOS(STATIC_902), i126, java.lang.Object(List(EOC)), java.lang.Object(List(EOC)))
898_0_getTail_FieldAccess(EOS(STATIC_898), i126, java.lang.Object(List(EOC)), java.lang.Object(List(EOC))) → 904_0_getTail_FieldAccess(EOS(STATIC_904), i126, java.lang.Object(List(EOC)), java.lang.Object(List(EOC)))
902_0_getTail_FieldAccess(EOS(STATIC_902), i126, java.lang.Object(List(EOC)), java.lang.Object(List(EOC))) → 907_0_getTail_Return(EOS(STATIC_907), i126, java.lang.Object(List(EOC)), o203)
904_0_getTail_FieldAccess(EOS(STATIC_904), i126, java.lang.Object(List(EOC)), java.lang.Object(List(EOC))) → 909_0_getTail_Return(EOS(STATIC_909), i126, java.lang.Object(List(EOC)), o205)
907_0_getTail_Return(EOS(STATIC_907), i126, java.lang.Object(List(EOC)), o203) → 911_0_length_Store(EOS(STATIC_911), i126, o203)
909_0_getTail_Return(EOS(STATIC_909), i126, java.lang.Object(List(EOC)), o205) → 912_0_length_Store(EOS(STATIC_912), i126, o205)
911_0_length_Store(EOS(STATIC_911), i126, o203) → 916_0_length_Inc(EOS(STATIC_916), o203, i126)
912_0_length_Store(EOS(STATIC_912), i126, o205) → 917_0_length_Inc(EOS(STATIC_917), o205, i126)
916_0_length_Inc(EOS(STATIC_916), o203, i126) → 920_0_length_JMP(EOS(STATIC_920), o203, +(i126, 1)) | >=(i126, 0)
917_0_length_Inc(EOS(STATIC_917), o205, i126) → 921_0_length_JMP(EOS(STATIC_921), o205, +(i126, 1)) | >=(i126, 0)
920_0_length_JMP(EOS(STATIC_920), o203, i130) → 925_0_length_Load(EOS(STATIC_925), o203, i130)
921_0_length_JMP(EOS(STATIC_921), o205, i131) → 926_0_length_Load(EOS(STATIC_926), o205, i131)
925_0_length_Load(EOS(STATIC_925), o203, i130) → 870_0_length_Load(EOS(STATIC_870), o203, i130)
926_0_length_Load(EOS(STATIC_926), o205, i131) → 870_0_length_Load(EOS(STATIC_870), o205, i131)
1011_0_bubble_Load(EOS(STATIC_1011), o230) → 1013_0_bubble_Store(EOS(STATIC_1013), o230)
1013_0_bubble_Store(EOS(STATIC_1013), o230) → 1014_0_bubble_Load(EOS(STATIC_1014), o230)
1014_0_bubble_Load(EOS(STATIC_1014), o230) → 1188_0_bubble_Load(EOS(STATIC_1188), o230)
1188_0_bubble_Load(EOS(STATIC_1188), o303) → 1626_0_bubble_Load(EOS(STATIC_1626), o303)
1626_0_bubble_Load(EOS(STATIC_1626), o1104) → 1629_0_bubble_NULL(EOS(STATIC_1629), o1104, o1104)
1629_0_bubble_NULL(EOS(STATIC_1629), java.lang.Object(o1109sub), java.lang.Object(o1109sub)) → 1630_0_bubble_NULL(EOS(STATIC_1630), java.lang.Object(o1109sub), java.lang.Object(o1109sub))
1629_0_bubble_NULL(EOS(STATIC_1629), NULL, NULL) → 1631_0_bubble_NULL(EOS(STATIC_1631), NULL, NULL)
1630_0_bubble_NULL(EOS(STATIC_1630), java.lang.Object(o1109sub), java.lang.Object(o1109sub)) → 1633_0_bubble_Load(EOS(STATIC_1633), java.lang.Object(o1109sub))
1631_0_bubble_NULL(EOS(STATIC_1631), NULL, NULL) → 1634_0_bubble_Return(EOS(STATIC_1634))
1633_0_bubble_Load(EOS(STATIC_1633), java.lang.Object(o1109sub)) → 1636_0_bubble_InvokeMethod(EOS(STATIC_1636), java.lang.Object(o1109sub), java.lang.Object(o1109sub))
1634_0_bubble_Return(EOS(STATIC_1634)) → 1666_0_bubble_Return(EOS(STATIC_1666))
1636_0_bubble_InvokeMethod(EOS(STATIC_1636), java.lang.Object(o1109sub), java.lang.Object(o1109sub)) → 1638_0_getTail_Load(EOS(STATIC_1638), java.lang.Object(o1109sub), java.lang.Object(o1109sub), java.lang.Object(o1109sub))
1638_0_getTail_Load(EOS(STATIC_1638), java.lang.Object(o1109sub), java.lang.Object(o1109sub), java.lang.Object(o1109sub)) → 1645_0_getTail_FieldAccess(EOS(STATIC_1645), java.lang.Object(o1109sub), java.lang.Object(o1109sub), java.lang.Object(o1109sub))
1645_0_getTail_FieldAccess(EOS(STATIC_1645), java.lang.Object(o1109sub), java.lang.Object(o1109sub), java.lang.Object(o1109sub)) → 1647_0_getTail_FieldAccess(EOS(STATIC_1647), java.lang.Object(o1109sub), java.lang.Object(o1109sub), java.lang.Object(o1109sub))
1645_0_getTail_FieldAccess(EOS(STATIC_1645), java.lang.Object(o1109sub), java.lang.Object(o1109sub), java.lang.Object(o1109sub)) → 1648_0_getTail_FieldAccess(EOS(STATIC_1648), java.lang.Object(o1109sub), java.lang.Object(o1109sub), java.lang.Object(o1109sub))
1647_0_getTail_FieldAccess(EOS(STATIC_1647), java.lang.Object(List(EOC)), java.lang.Object(List(EOC)), java.lang.Object(List(EOC))) → 1649_0_getTail_FieldAccess(EOS(STATIC_1649), java.lang.Object(List(EOC)), java.lang.Object(List(EOC)), java.lang.Object(List(EOC)))
1648_0_getTail_FieldAccess(EOS(STATIC_1648), java.lang.Object(List(EOC)), java.lang.Object(List(EOC)), java.lang.Object(List(EOC))) → 1651_0_getTail_FieldAccess(EOS(STATIC_1651), java.lang.Object(List(EOC)), java.lang.Object(List(EOC)), java.lang.Object(List(EOC)))
1649_0_getTail_FieldAccess(EOS(STATIC_1649), java.lang.Object(List(EOC)), java.lang.Object(List(EOC)), java.lang.Object(List(EOC))) → 1652_0_getTail_Return(EOS(STATIC_1652), java.lang.Object(List(EOC)), java.lang.Object(List(EOC)), o1116)
1651_0_getTail_FieldAccess(EOS(STATIC_1651), java.lang.Object(List(EOC)), java.lang.Object(List(EOC)), java.lang.Object(List(EOC))) → 1654_0_getTail_Return(EOS(STATIC_1654), java.lang.Object(List(EOC)), java.lang.Object(List(EOC)), o1118)
1652_0_getTail_Return(EOS(STATIC_1652), java.lang.Object(List(EOC)), java.lang.Object(List(EOC)), o1116) → 1656_0_bubble_NULL(EOS(STATIC_1656), java.lang.Object(List(EOC)), o1116)
1654_0_getTail_Return(EOS(STATIC_1654), java.lang.Object(List(EOC)), java.lang.Object(List(EOC)), o1118) → 1658_0_bubble_NULL(EOS(STATIC_1658), java.lang.Object(List(EOC)), o1118)
1656_0_bubble_NULL(EOS(STATIC_1656), java.lang.Object(List(EOC)), java.lang.Object(o1126sub)) → 1660_0_bubble_NULL(EOS(STATIC_1660), java.lang.Object(List(EOC)), java.lang.Object(o1126sub))
1656_0_bubble_NULL(EOS(STATIC_1656), java.lang.Object(List(EOC)), NULL) → 1661_0_bubble_NULL(EOS(STATIC_1661), java.lang.Object(List(EOC)), NULL)
1658_0_bubble_NULL(EOS(STATIC_1658), java.lang.Object(List(EOC)), java.lang.Object(o1127sub)) → 1662_0_bubble_NULL(EOS(STATIC_1662), java.lang.Object(List(EOC)), java.lang.Object(o1127sub))
1658_0_bubble_NULL(EOS(STATIC_1658), java.lang.Object(List(EOC)), NULL) → 1663_0_bubble_NULL(EOS(STATIC_1663), java.lang.Object(List(EOC)), NULL)
1660_0_bubble_NULL(EOS(STATIC_1660), java.lang.Object(List(EOC)), java.lang.Object(o1126sub)) → 1665_0_bubble_Load(EOS(STATIC_1665), java.lang.Object(List(EOC)))
1661_0_bubble_NULL(EOS(STATIC_1661), java.lang.Object(List(EOC)), NULL) → 1666_0_bubble_Return(EOS(STATIC_1666))
1662_0_bubble_NULL(EOS(STATIC_1662), java.lang.Object(List(EOC)), java.lang.Object(o1127sub)) → 1668_0_bubble_Load(EOS(STATIC_1668), java.lang.Object(List(EOC)))
1663_0_bubble_NULL(EOS(STATIC_1663), java.lang.Object(List(EOC)), NULL) → 1669_0_bubble_Return(EOS(STATIC_1669))
1665_0_bubble_Load(EOS(STATIC_1665), java.lang.Object(List(EOC))) → 1671_0_bubble_FieldAccess(EOS(STATIC_1671), java.lang.Object(List(EOC)), java.lang.Object(List(EOC)))
1668_0_bubble_Load(EOS(STATIC_1668), java.lang.Object(List(EOC))) → 1674_0_bubble_FieldAccess(EOS(STATIC_1674), java.lang.Object(List(EOC)), java.lang.Object(List(EOC)))
1671_0_bubble_FieldAccess(EOS(STATIC_1671), java.lang.Object(List(EOC)), java.lang.Object(List(EOC))) → 1677_0_bubble_Load(EOS(STATIC_1677), java.lang.Object(List(EOC)), i316)
1674_0_bubble_FieldAccess(EOS(STATIC_1674), java.lang.Object(List(EOC)), java.lang.Object(List(EOC))) → 1680_0_bubble_Load(EOS(STATIC_1680), java.lang.Object(List(EOC)), i317)
1677_0_bubble_Load(EOS(STATIC_1677), java.lang.Object(List(EOC)), i316) → 1683_0_bubble_InvokeMethod(EOS(STATIC_1683), java.lang.Object(List(EOC)), i316, java.lang.Object(List(EOC)))
1680_0_bubble_Load(EOS(STATIC_1680), java.lang.Object(List(EOC)), i317) → 1688_0_bubble_InvokeMethod(EOS(STATIC_1688), java.lang.Object(List(EOC)), i317, java.lang.Object(List(EOC)))
1683_0_bubble_InvokeMethod(EOS(STATIC_1683), java.lang.Object(List(EOC)), i316, java.lang.Object(List(EOC))) → 1693_0_getTail_Load(EOS(STATIC_1693), java.lang.Object(List(EOC)), i316, java.lang.Object(List(EOC)), java.lang.Object(List(EOC)))
1688_0_bubble_InvokeMethod(EOS(STATIC_1688), java.lang.Object(List(EOC)), i317, java.lang.Object(List(EOC))) → 1694_0_getTail_Load(EOS(STATIC_1694), java.lang.Object(List(EOC)), i317, java.lang.Object(List(EOC)), java.lang.Object(List(EOC)))
1693_0_getTail_Load(EOS(STATIC_1693), java.lang.Object(List(EOC)), i316, java.lang.Object(List(EOC)), java.lang.Object(List(EOC))) → 1696_0_getTail_FieldAccess(EOS(STATIC_1696), java.lang.Object(List(EOC)), i316, java.lang.Object(List(EOC)), java.lang.Object(List(EOC)))
1694_0_getTail_Load(EOS(STATIC_1694), java.lang.Object(List(EOC)), i317, java.lang.Object(List(EOC)), java.lang.Object(List(EOC))) → 1698_0_getTail_FieldAccess(EOS(STATIC_1698), java.lang.Object(List(EOC)), i317, java.lang.Object(List(EOC)), java.lang.Object(List(EOC)))
1696_0_getTail_FieldAccess(EOS(STATIC_1696), java.lang.Object(List(EOC)), i316, java.lang.Object(List(EOC)), java.lang.Object(List(EOC))) → 1700_0_getTail_Return(EOS(STATIC_1700), java.lang.Object(List(EOC)), i316, java.lang.Object(List(EOC)), java.lang.Object(o1126sub))
1698_0_getTail_FieldAccess(EOS(STATIC_1698), java.lang.Object(List(EOC)), i317, java.lang.Object(List(EOC)), java.lang.Object(List(EOC))) → 1701_0_getTail_Return(EOS(STATIC_1701), java.lang.Object(List(EOC)), i317, java.lang.Object(List(EOC)), java.lang.Object(o1127sub))
1700_0_getTail_Return(EOS(STATIC_1700), java.lang.Object(List(EOC)), i316, java.lang.Object(List(EOC)), java.lang.Object(o1126sub)) → 1703_0_bubble_FieldAccess(EOS(STATIC_1703), java.lang.Object(List(EOC)), i316, java.lang.Object(o1126sub))
1701_0_getTail_Return(EOS(STATIC_1701), java.lang.Object(List(EOC)), i317, java.lang.Object(List(EOC)), java.lang.Object(o1127sub)) → 1705_0_bubble_FieldAccess(EOS(STATIC_1705), java.lang.Object(List(EOC)), i317, java.lang.Object(o1127sub))
1703_0_bubble_FieldAccess(EOS(STATIC_1703), java.lang.Object(List(EOC)), i316, java.lang.Object(o1126sub)) → 1707_0_bubble_FieldAccess(EOS(STATIC_1707), java.lang.Object(List(EOC)), i316, java.lang.Object(o1126sub))
1703_0_bubble_FieldAccess(EOS(STATIC_1703), java.lang.Object(List(EOC)), i316, java.lang.Object(o1126sub)) → 1708_0_bubble_FieldAccess(EOS(STATIC_1708), java.lang.Object(List(EOC)), i316, java.lang.Object(o1126sub))
1705_0_bubble_FieldAccess(EOS(STATIC_1705), java.lang.Object(List(EOC)), i317, java.lang.Object(List(EOC))) → 1709_0_bubble_FieldAccess(EOS(STATIC_1709), java.lang.Object(List(EOC)), i317, java.lang.Object(List(EOC)))
1707_0_bubble_FieldAccess(EOS(STATIC_1707), java.lang.Object(List(EOC)), i316, java.lang.Object(List(EOC))) → 1711_0_bubble_FieldAccess(EOS(STATIC_1711), java.lang.Object(List(EOC)), i316, java.lang.Object(List(EOC)))
1708_0_bubble_FieldAccess(EOS(STATIC_1708), java.lang.Object(List(EOC)), i316, java.lang.Object(List(EOC))) → 1713_0_bubble_FieldAccess(EOS(STATIC_1713), java.lang.Object(List(EOC)), i316, java.lang.Object(List(EOC)))
1709_0_bubble_FieldAccess(EOS(STATIC_1709), java.lang.Object(List(EOC)), i317, java.lang.Object(List(EOC))) → 1715_0_bubble_LE(EOS(STATIC_1715), java.lang.Object(List(EOC)), i317, i319)
1711_0_bubble_FieldAccess(EOS(STATIC_1711), java.lang.Object(List(EOC)), i316, java.lang.Object(List(EOC))) → 1717_0_bubble_LE(EOS(STATIC_1717), java.lang.Object(List(EOC)), i316, i320)
1713_0_bubble_FieldAccess(EOS(STATIC_1713), java.lang.Object(List(EOC)), i316, java.lang.Object(List(EOC))) → 1720_0_bubble_LE(EOS(STATIC_1720), java.lang.Object(List(EOC)), i316, i321)
1715_0_bubble_LE(EOS(STATIC_1715), java.lang.Object(List(EOC)), i317, i319) → 1722_0_bubble_LE(EOS(STATIC_1722), java.lang.Object(List(EOC)), i317, i319)
1715_0_bubble_LE(EOS(STATIC_1715), java.lang.Object(List(EOC)), i317, i319) → 1723_0_bubble_LE(EOS(STATIC_1723), java.lang.Object(List(EOC)), i317, i319)
1717_0_bubble_LE(EOS(STATIC_1717), java.lang.Object(List(EOC)), i316, i320) → 1724_0_bubble_LE(EOS(STATIC_1724), java.lang.Object(List(EOC)), i316, i320)
1717_0_bubble_LE(EOS(STATIC_1717), java.lang.Object(List(EOC)), i316, i320) → 1725_0_bubble_LE(EOS(STATIC_1725), java.lang.Object(List(EOC)), i316, i320)
1720_0_bubble_LE(EOS(STATIC_1720), java.lang.Object(List(EOC)), i316, i321) → 1727_0_bubble_LE(EOS(STATIC_1727), java.lang.Object(List(EOC)), i316, i321)
1720_0_bubble_LE(EOS(STATIC_1720), java.lang.Object(List(EOC)), i316, i321) → 1728_0_bubble_LE(EOS(STATIC_1728), java.lang.Object(List(EOC)), i316, i321)
1722_0_bubble_LE(EOS(STATIC_1722), java.lang.Object(List(EOC)), i317, i319) → 1729_0_bubble_Load(EOS(STATIC_1729), java.lang.Object(List(EOC))) | <=(i317, i319)
1723_0_bubble_LE(EOS(STATIC_1723), java.lang.Object(List(EOC)), i317, i319) → 1731_0_bubble_Load(EOS(STATIC_1731), java.lang.Object(List(EOC))) | >(i317, i319)
1724_0_bubble_LE(EOS(STATIC_1724), java.lang.Object(List(EOC)), i316, i320) → 1732_0_bubble_Load(EOS(STATIC_1732), java.lang.Object(List(EOC))) | <=(i316, i320)
1725_0_bubble_LE(EOS(STATIC_1725), java.lang.Object(List(EOC)), i316, i320) → 1734_0_bubble_Load(EOS(STATIC_1734), java.lang.Object(List(EOC))) | >(i316, i320)
1727_0_bubble_LE(EOS(STATIC_1727), java.lang.Object(List(EOC)), i316, i321) → 1736_0_bubble_Load(EOS(STATIC_1736), java.lang.Object(List(EOC))) | <=(i316, i321)
1728_0_bubble_LE(EOS(STATIC_1728), java.lang.Object(List(EOC)), i316, i321) → 1738_0_bubble_Load(EOS(STATIC_1738), java.lang.Object(List(EOC))) | >(i316, i321)
1729_0_bubble_Load(EOS(STATIC_1729), java.lang.Object(List(EOC))) → 1887_0_bubble_Load(EOS(STATIC_1887), java.lang.Object(List(EOC)))
1731_0_bubble_Load(EOS(STATIC_1731), java.lang.Object(List(EOC))) → 1740_0_bubble_FieldAccess(EOS(STATIC_1740), java.lang.Object(List(EOC)), java.lang.Object(List(EOC)))
1732_0_bubble_Load(EOS(STATIC_1732), java.lang.Object(List(EOC))) → 1894_0_bubble_Load(EOS(STATIC_1894), java.lang.Object(List(EOC)))
1734_0_bubble_Load(EOS(STATIC_1734), java.lang.Object(List(EOC))) → 1744_0_bubble_FieldAccess(EOS(STATIC_1744), java.lang.Object(List(EOC)), java.lang.Object(List(EOC)))
1736_0_bubble_Load(EOS(STATIC_1736), java.lang.Object(List(EOC))) → 1898_0_bubble_Load(EOS(STATIC_1898), java.lang.Object(List(EOC)))
1738_0_bubble_Load(EOS(STATIC_1738), java.lang.Object(List(EOC))) → 1747_0_bubble_FieldAccess(EOS(STATIC_1747), java.lang.Object(List(EOC)), java.lang.Object(List(EOC)))
1740_0_bubble_FieldAccess(EOS(STATIC_1740), java.lang.Object(List(EOC)), java.lang.Object(List(EOC))) → 1750_0_bubble_Store(EOS(STATIC_1750), java.lang.Object(List(EOC)), i317)
1744_0_bubble_FieldAccess(EOS(STATIC_1744), java.lang.Object(List(EOC)), java.lang.Object(List(EOC))) → 1753_0_bubble_Store(EOS(STATIC_1753), java.lang.Object(List(EOC)), i316)
1747_0_bubble_FieldAccess(EOS(STATIC_1747), java.lang.Object(List(EOC)), java.lang.Object(List(EOC))) → 1757_0_bubble_Store(EOS(STATIC_1757), java.lang.Object(List(EOC)), i316)
1750_0_bubble_Store(EOS(STATIC_1750), java.lang.Object(List(EOC)), i317) → 1758_0_bubble_Load(EOS(STATIC_1758), java.lang.Object(List(EOC)), i317)
1753_0_bubble_Store(EOS(STATIC_1753), java.lang.Object(List(EOC)), i316) → 1760_0_bubble_Load(EOS(STATIC_1760), java.lang.Object(List(EOC)), i316)
1757_0_bubble_Store(EOS(STATIC_1757), java.lang.Object(List(EOC)), i316) → 1762_0_bubble_Load(EOS(STATIC_1762), java.lang.Object(List(EOC)), i316)
1758_0_bubble_Load(EOS(STATIC_1758), java.lang.Object(List(EOC)), i317) → 1765_0_bubble_Load(EOS(STATIC_1765), java.lang.Object(List(EOC)), i317, java.lang.Object(List(EOC)))
1760_0_bubble_Load(EOS(STATIC_1760), java.lang.Object(List(EOC)), i316) → 1770_0_bubble_Load(EOS(STATIC_1770), java.lang.Object(List(EOC)), i316, java.lang.Object(List(EOC)))
1762_0_bubble_Load(EOS(STATIC_1762), java.lang.Object(List(EOC)), i316) → 1774_0_bubble_Load(EOS(STATIC_1774), java.lang.Object(List(EOC)), i316, java.lang.Object(List(EOC)))
1765_0_bubble_Load(EOS(STATIC_1765), java.lang.Object(List(EOC)), i317, java.lang.Object(List(EOC))) → 1777_0_bubble_InvokeMethod(EOS(STATIC_1777), java.lang.Object(List(EOC)), i317, java.lang.Object(List(EOC)), java.lang.Object(List(EOC)))
1770_0_bubble_Load(EOS(STATIC_1770), java.lang.Object(List(EOC)), i316, java.lang.Object(List(EOC))) → 1782_0_bubble_InvokeMethod(EOS(STATIC_1782), java.lang.Object(List(EOC)), i316, java.lang.Object(List(EOC)), java.lang.Object(List(EOC)))
1774_0_bubble_Load(EOS(STATIC_1774), java.lang.Object(List(EOC)), i316, java.lang.Object(List(EOC))) → 1787_0_bubble_InvokeMethod(EOS(STATIC_1787), java.lang.Object(List(EOC)), i316, java.lang.Object(List(EOC)), java.lang.Object(List(EOC)))
1777_0_bubble_InvokeMethod(EOS(STATIC_1777), java.lang.Object(List(EOC)), i317, java.lang.Object(List(EOC)), java.lang.Object(List(EOC))) → 1789_0_getTail_Load(EOS(STATIC_1789), java.lang.Object(List(EOC)), i317, java.lang.Object(List(EOC)), java.lang.Object(List(EOC)), java.lang.Object(List(EOC)))
1782_0_bubble_InvokeMethod(EOS(STATIC_1782), java.lang.Object(List(EOC)), i316, java.lang.Object(List(EOC)), java.lang.Object(List(EOC))) → 1793_0_getTail_Load(EOS(STATIC_1793), java.lang.Object(List(EOC)), i316, java.lang.Object(List(EOC)), java.lang.Object(List(EOC)), java.lang.Object(List(EOC)))
1787_0_bubble_InvokeMethod(EOS(STATIC_1787), java.lang.Object(List(EOC)), i316, java.lang.Object(List(EOC)), java.lang.Object(List(EOC))) → 1796_0_getTail_Load(EOS(STATIC_1796), java.lang.Object(List(EOC)), i316, java.lang.Object(List(EOC)), java.lang.Object(List(EOC)), java.lang.Object(List(EOC)))
1789_0_getTail_Load(EOS(STATIC_1789), java.lang.Object(List(EOC)), i317, java.lang.Object(List(EOC)), java.lang.Object(List(EOC)), java.lang.Object(List(EOC))) → 1801_0_getTail_FieldAccess(EOS(STATIC_1801), java.lang.Object(List(EOC)), i317, java.lang.Object(List(EOC)), java.lang.Object(List(EOC)), java.lang.Object(List(EOC)))
1793_0_getTail_Load(EOS(STATIC_1793), java.lang.Object(List(EOC)), i316, java.lang.Object(List(EOC)), java.lang.Object(List(EOC)), java.lang.Object(List(EOC))) → 1808_0_getTail_FieldAccess(EOS(STATIC_1808), java.lang.Object(List(EOC)), i316, java.lang.Object(List(EOC)), java.lang.Object(List(EOC)), java.lang.Object(List(EOC)))
1796_0_getTail_Load(EOS(STATIC_1796), java.lang.Object(List(EOC)), i316, java.lang.Object(List(EOC)), java.lang.Object(List(EOC)), java.lang.Object(List(EOC))) → 1813_0_getTail_FieldAccess(EOS(STATIC_1813), java.lang.Object(List(EOC)), i316, java.lang.Object(List(EOC)), java.lang.Object(List(EOC)), java.lang.Object(List(EOC)))
1801_0_getTail_FieldAccess(EOS(STATIC_1801), java.lang.Object(List(EOC)), i317, java.lang.Object(List(EOC)), java.lang.Object(List(EOC)), java.lang.Object(List(EOC))) → 1816_0_getTail_Return(EOS(STATIC_1816), java.lang.Object(List(EOC)), i317, java.lang.Object(List(EOC)), java.lang.Object(List(EOC)), java.lang.Object(List(EOC)))
1808_0_getTail_FieldAccess(EOS(STATIC_1808), java.lang.Object(List(EOC)), i316, java.lang.Object(List(EOC)), java.lang.Object(List(EOC)), java.lang.Object(List(EOC))) → 1819_0_getTail_Return(EOS(STATIC_1819), java.lang.Object(List(EOC)), i316, java.lang.Object(List(EOC)), java.lang.Object(List(EOC)), java.lang.Object(List(EOC)))
1813_0_getTail_FieldAccess(EOS(STATIC_1813), java.lang.Object(List(EOC)), i316, java.lang.Object(List(EOC)), java.lang.Object(List(EOC)), java.lang.Object(List(EOC))) → 1822_0_getTail_Return(EOS(STATIC_1822), java.lang.Object(List(EOC)), i316, java.lang.Object(List(EOC)), java.lang.Object(List(EOC)), java.lang.Object(List(EOC)))
1816_0_getTail_Return(EOS(STATIC_1816), java.lang.Object(List(EOC)), i317, java.lang.Object(List(EOC)), java.lang.Object(List(EOC)), java.lang.Object(List(EOC))) → 1824_0_bubble_FieldAccess(EOS(STATIC_1824), java.lang.Object(List(EOC)), i317, java.lang.Object(List(EOC)), java.lang.Object(List(EOC)))
1819_0_getTail_Return(EOS(STATIC_1819), java.lang.Object(List(EOC)), i316, java.lang.Object(List(EOC)), java.lang.Object(List(EOC)), java.lang.Object(List(EOC))) → 1825_0_bubble_FieldAccess(EOS(STATIC_1825), java.lang.Object(List(EOC)), i316, java.lang.Object(List(EOC)), java.lang.Object(List(EOC)))
1822_0_getTail_Return(EOS(STATIC_1822), java.lang.Object(List(EOC)), i316, java.lang.Object(List(EOC)), java.lang.Object(List(EOC)), java.lang.Object(List(EOC))) → 1826_0_bubble_FieldAccess(EOS(STATIC_1826), java.lang.Object(List(EOC)), i316, java.lang.Object(List(EOC)), java.lang.Object(List(EOC)))
1824_0_bubble_FieldAccess(EOS(STATIC_1824), java.lang.Object(List(EOC)), i317, java.lang.Object(List(EOC)), java.lang.Object(List(EOC))) → 1828_0_bubble_FieldAccess(EOS(STATIC_1828), java.lang.Object(List(EOC)), i317, java.lang.Object(List(EOC)), i319)
1825_0_bubble_FieldAccess(EOS(STATIC_1825), java.lang.Object(List(EOC)), i316, java.lang.Object(List(EOC)), java.lang.Object(List(EOC))) → 1829_0_bubble_FieldAccess(EOS(STATIC_1829), java.lang.Object(List(EOC)), i316, java.lang.Object(List(EOC)), i320)
1826_0_bubble_FieldAccess(EOS(STATIC_1826), java.lang.Object(List(EOC)), i316, java.lang.Object(List(EOC)), java.lang.Object(List(EOC))) → 1831_0_bubble_FieldAccess(EOS(STATIC_1831), java.lang.Object(List(EOC)), i316, java.lang.Object(List(EOC)), i321)
1828_0_bubble_FieldAccess(EOS(STATIC_1828), java.lang.Object(List(EOC)), i317, java.lang.Object(List(EOC)), i319) → 1832_0_bubble_Load(EOS(STATIC_1832), java.lang.Object(List(EOC)), i317)
1829_0_bubble_FieldAccess(EOS(STATIC_1829), java.lang.Object(List(EOC)), i316, java.lang.Object(List(EOC)), i320) → 1834_0_bubble_Load(EOS(STATIC_1834), java.lang.Object(List(EOC)), i316)
1831_0_bubble_FieldAccess(EOS(STATIC_1831), java.lang.Object(List(EOC)), i316, java.lang.Object(List(EOC)), i321) → 1835_0_bubble_Load(EOS(STATIC_1835), java.lang.Object(List(EOC)), i316)
1832_0_bubble_Load(EOS(STATIC_1832), java.lang.Object(List(EOC)), i317) → 1837_0_bubble_InvokeMethod(EOS(STATIC_1837), java.lang.Object(List(EOC)), i317, java.lang.Object(List(EOC)))
1834_0_bubble_Load(EOS(STATIC_1834), java.lang.Object(List(EOC)), i316) → 1839_0_bubble_InvokeMethod(EOS(STATIC_1839), java.lang.Object(List(EOC)), i316, java.lang.Object(List(EOC)))
1835_0_bubble_Load(EOS(STATIC_1835), java.lang.Object(List(EOC)), i316) → 1841_0_bubble_InvokeMethod(EOS(STATIC_1841), java.lang.Object(List(EOC)), i316, java.lang.Object(List(EOC)))
1837_0_bubble_InvokeMethod(EOS(STATIC_1837), java.lang.Object(List(EOC)), i317, java.lang.Object(List(EOC))) → 1842_0_getTail_Load(EOS(STATIC_1842), java.lang.Object(List(EOC)), i317, java.lang.Object(List(EOC)), java.lang.Object(List(EOC)))
1839_0_bubble_InvokeMethod(EOS(STATIC_1839), java.lang.Object(List(EOC)), i316, java.lang.Object(List(EOC))) → 1844_0_getTail_Load(EOS(STATIC_1844), java.lang.Object(List(EOC)), i316, java.lang.Object(List(EOC)), java.lang.Object(List(EOC)))
1841_0_bubble_InvokeMethod(EOS(STATIC_1841), java.lang.Object(List(EOC)), i316, java.lang.Object(List(EOC))) → 1845_0_getTail_Load(EOS(STATIC_1845), java.lang.Object(List(EOC)), i316, java.lang.Object(List(EOC)), java.lang.Object(List(EOC)))
1842_0_getTail_Load(EOS(STATIC_1842), java.lang.Object(List(EOC)), i317, java.lang.Object(List(EOC)), java.lang.Object(List(EOC))) → 1849_0_getTail_FieldAccess(EOS(STATIC_1849), java.lang.Object(List(EOC)), i317, java.lang.Object(List(EOC)), java.lang.Object(List(EOC)))
1844_0_getTail_Load(EOS(STATIC_1844), java.lang.Object(List(EOC)), i316, java.lang.Object(List(EOC)), java.lang.Object(List(EOC))) → 1854_0_getTail_FieldAccess(EOS(STATIC_1854), java.lang.Object(List(EOC)), i316, java.lang.Object(List(EOC)), java.lang.Object(List(EOC)))
1845_0_getTail_Load(EOS(STATIC_1845), java.lang.Object(List(EOC)), i316, java.lang.Object(List(EOC)), java.lang.Object(List(EOC))) → 1858_0_getTail_FieldAccess(EOS(STATIC_1858), java.lang.Object(List(EOC)), i316, java.lang.Object(List(EOC)), java.lang.Object(List(EOC)))
1849_0_getTail_FieldAccess(EOS(STATIC_1849), java.lang.Object(List(EOC)), i317, java.lang.Object(List(EOC)), java.lang.Object(List(EOC))) → 1862_0_getTail_Return(EOS(STATIC_1862), java.lang.Object(List(EOC)), i317, java.lang.Object(List(EOC)), java.lang.Object(List(EOC)))
1854_0_getTail_FieldAccess(EOS(STATIC_1854), java.lang.Object(List(EOC)), i316, java.lang.Object(List(EOC)), java.lang.Object(List(EOC))) → 1866_0_getTail_Return(EOS(STATIC_1866), java.lang.Object(List(EOC)), i316, java.lang.Object(List(EOC)), java.lang.Object(List(EOC)))
1858_0_getTail_FieldAccess(EOS(STATIC_1858), java.lang.Object(List(EOC)), i316, java.lang.Object(List(EOC)), java.lang.Object(List(EOC))) → 1871_0_getTail_Return(EOS(STATIC_1871), java.lang.Object(List(EOC)), i316, java.lang.Object(List(EOC)), java.lang.Object(List(EOC)))
1862_0_getTail_Return(EOS(STATIC_1862), java.lang.Object(List(EOC)), i317, java.lang.Object(List(EOC)), java.lang.Object(List(EOC))) → 1873_0_bubble_Load(EOS(STATIC_1873), java.lang.Object(List(EOC)), i317, java.lang.Object(List(EOC)))
1866_0_getTail_Return(EOS(STATIC_1866), java.lang.Object(List(EOC)), i316, java.lang.Object(List(EOC)), java.lang.Object(List(EOC))) → 1875_0_bubble_Load(EOS(STATIC_1875), java.lang.Object(List(EOC)), i316, java.lang.Object(List(EOC)))
1871_0_getTail_Return(EOS(STATIC_1871), java.lang.Object(List(EOC)), i316, java.lang.Object(List(EOC)), java.lang.Object(List(EOC))) → 1878_0_bubble_Load(EOS(STATIC_1878), java.lang.Object(List(EOC)), i316, java.lang.Object(List(EOC)))
1873_0_bubble_Load(EOS(STATIC_1873), java.lang.Object(List(EOC)), i317, java.lang.Object(List(EOC))) → 1879_0_bubble_FieldAccess(EOS(STATIC_1879), java.lang.Object(List(EOC)), java.lang.Object(List(EOC)), i317)
1875_0_bubble_Load(EOS(STATIC_1875), java.lang.Object(List(EOC)), i316, java.lang.Object(List(EOC))) → 1881_0_bubble_FieldAccess(EOS(STATIC_1881), java.lang.Object(List(EOC)), java.lang.Object(List(EOC)), i316)
1878_0_bubble_Load(EOS(STATIC_1878), java.lang.Object(List(EOC)), i316, java.lang.Object(List(EOC))) → 1884_0_bubble_FieldAccess(EOS(STATIC_1884), java.lang.Object(List(EOC)), java.lang.Object(List(EOC)), i316)
1879_0_bubble_FieldAccess(EOS(STATIC_1879), java.lang.Object(List(EOC)), java.lang.Object(List(EOC)), i317) → 1887_0_bubble_Load(EOS(STATIC_1887), java.lang.Object(List(EOC)))
1881_0_bubble_FieldAccess(EOS(STATIC_1881), java.lang.Object(List(EOC)), java.lang.Object(List(EOC)), i316) → 1894_0_bubble_Load(EOS(STATIC_1894), java.lang.Object(List(EOC)))
1884_0_bubble_FieldAccess(EOS(STATIC_1884), java.lang.Object(List(EOC)), java.lang.Object(List(EOC)), i316) → 1898_0_bubble_Load(EOS(STATIC_1898), java.lang.Object(List(EOC)))
1887_0_bubble_Load(EOS(STATIC_1887), java.lang.Object(List(EOC))) → 1901_0_bubble_InvokeMethod(EOS(STATIC_1901), java.lang.Object(List(EOC)))
1894_0_bubble_Load(EOS(STATIC_1894), java.lang.Object(List(EOC))) → 1902_0_bubble_InvokeMethod(EOS(STATIC_1902), java.lang.Object(List(EOC)))
1898_0_bubble_Load(EOS(STATIC_1898), java.lang.Object(List(EOC))) → 1904_0_bubble_InvokeMethod(EOS(STATIC_1904), java.lang.Object(List(EOC)))
1901_0_bubble_InvokeMethod(EOS(STATIC_1901), java.lang.Object(List(EOC))) → 1905_0_getTail_Load(EOS(STATIC_1905), java.lang.Object(List(EOC)), java.lang.Object(List(EOC)))
1902_0_bubble_InvokeMethod(EOS(STATIC_1902), java.lang.Object(List(EOC))) → 1907_0_getTail_Load(EOS(STATIC_1907), java.lang.Object(List(EOC)), java.lang.Object(List(EOC)))
1904_0_bubble_InvokeMethod(EOS(STATIC_1904), java.lang.Object(List(EOC))) → 1908_0_getTail_Load(EOS(STATIC_1908), java.lang.Object(List(EOC)), java.lang.Object(List(EOC)))
1905_0_getTail_Load(EOS(STATIC_1905), java.lang.Object(List(EOC)), java.lang.Object(List(EOC))) → 1911_0_getTail_FieldAccess(EOS(STATIC_1911), java.lang.Object(List(EOC)), java.lang.Object(List(EOC)))
1907_0_getTail_Load(EOS(STATIC_1907), java.lang.Object(List(EOC)), java.lang.Object(List(EOC))) → 1917_0_getTail_FieldAccess(EOS(STATIC_1917), java.lang.Object(List(EOC)), java.lang.Object(List(EOC)))
1908_0_getTail_Load(EOS(STATIC_1908), java.lang.Object(List(EOC)), java.lang.Object(List(EOC))) → 1922_0_getTail_FieldAccess(EOS(STATIC_1922), java.lang.Object(List(EOC)), java.lang.Object(List(EOC)))
1911_0_getTail_FieldAccess(EOS(STATIC_1911), java.lang.Object(List(EOC)), java.lang.Object(List(EOC))) → 1925_0_getTail_Return(EOS(STATIC_1925), java.lang.Object(List(EOC)), java.lang.Object(List(EOC)))
1917_0_getTail_FieldAccess(EOS(STATIC_1917), java.lang.Object(List(EOC)), java.lang.Object(List(EOC))) → 1928_0_getTail_Return(EOS(STATIC_1928), java.lang.Object(List(EOC)), java.lang.Object(List(EOC)))
1922_0_getTail_FieldAccess(EOS(STATIC_1922), java.lang.Object(List(EOC)), java.lang.Object(List(EOC))) → 1933_0_getTail_Return(EOS(STATIC_1933), java.lang.Object(List(EOC)), java.lang.Object(List(EOC)))
1925_0_getTail_Return(EOS(STATIC_1925), java.lang.Object(List(EOC)), java.lang.Object(List(EOC))) → 1934_0_bubble_Store(EOS(STATIC_1934), java.lang.Object(List(EOC)))
1928_0_getTail_Return(EOS(STATIC_1928), java.lang.Object(List(EOC)), java.lang.Object(List(EOC))) → 1936_0_bubble_Store(EOS(STATIC_1936), java.lang.Object(List(EOC)))
1933_0_getTail_Return(EOS(STATIC_1933), java.lang.Object(List(EOC)), java.lang.Object(List(EOC))) → 1938_0_bubble_Store(EOS(STATIC_1938), java.lang.Object(List(EOC)))
1934_0_bubble_Store(EOS(STATIC_1934), java.lang.Object(List(EOC))) → 1936_0_bubble_Store(EOS(STATIC_1936), java.lang.Object(List(EOC)))
1936_0_bubble_Store(EOS(STATIC_1936), java.lang.Object(List(EOC))) → 1939_0_bubble_JMP(EOS(STATIC_1939), java.lang.Object(List(EOC)))
1938_0_bubble_Store(EOS(STATIC_1938), java.lang.Object(List(EOC))) → 1940_0_bubble_JMP(EOS(STATIC_1940), java.lang.Object(List(EOC)))
1939_0_bubble_JMP(EOS(STATIC_1939), java.lang.Object(List(EOC))) → 1942_0_bubble_Load(EOS(STATIC_1942), java.lang.Object(List(EOC)))
1940_0_bubble_JMP(EOS(STATIC_1940), java.lang.Object(List(EOC))) → 1944_0_bubble_Load(EOS(STATIC_1944), java.lang.Object(List(EOC)))
1942_0_bubble_Load(EOS(STATIC_1942), java.lang.Object(List(EOC))) → 1626_0_bubble_Load(EOS(STATIC_1626), java.lang.Object(List(EOC)))
1944_0_bubble_Load(EOS(STATIC_1944), java.lang.Object(List(EOC))) → 1626_0_bubble_Load(EOS(STATIC_1626), java.lang.Object(List(EOC)))

Combined rules. Obtained 6 conditional rules for P and 8 conditional rules for R.

P rules:
968_1_main_InvokeMethod(884_0_length_Return(EOS(STATIC_884), x0), java.lang.Object(ARRAY(3)), x2, x3) → 1366_0_main_GE(EOS(STATIC_1366), java.lang.Object(ARRAY(3)), x2, x0, 0, 0, x0)
1366_0_main_GE(EOS(STATIC_1366), java.lang.Object(ARRAY(3)), x1, x2, x3, x3, x2) → 968_1_main_InvokeMethod(968_0_length_ConstantStackPush(EOS(STATIC_968), x4), java.lang.Object(ARRAY(3)), +(x1, 1), x4) | &&(&&(>=(x3, x2), >(+(x1, 1), 0)), <(x1, 2))
1366_0_main_GE(EOS(STATIC_1366), java.lang.Object(ARRAY(3)), x1, x2, x3, x3, x2) → 1454_1_main_InvokeMethod(1454_0_bubble_Load(EOS(STATIC_1454), x4), java.lang.Object(ARRAY(3)), x1, x2, x3, x4) | <(x3, x2)
1454_1_main_InvokeMethod(1634_0_bubble_Return(EOS(STATIC_1634)), java.lang.Object(ARRAY(3)), x1, x2, x3, x4) → 1366_0_main_GE(EOS(STATIC_1366), java.lang.Object(ARRAY(3)), x1, x2, +(x3, 1), +(x3, 1), x2) | >(+(x3, 1), 0)
1454_1_main_InvokeMethod(1666_0_bubble_Return(EOS(STATIC_1666)), java.lang.Object(ARRAY(3)), x1, x2, x3, x4) → 1366_0_main_GE(EOS(STATIC_1366), java.lang.Object(ARRAY(3)), x1, x2, +(x3, 1), +(x3, 1), x2) | >(+(x3, 1), 0)
1454_1_main_InvokeMethod(1669_0_bubble_Return(EOS(STATIC_1669)), java.lang.Object(ARRAY(3)), x1, x2, x3, x4) → 1366_0_main_GE(EOS(STATIC_1366), java.lang.Object(ARRAY(3)), x1, x2, +(x3, 1), +(x3, 1), x2) | >(+(x3, 1), 0)
R rules:
968_0_length_ConstantStackPush(EOS(STATIC_968), x0) → 874_0_length_NULL(EOS(STATIC_874), x0, 0, x0)
874_0_length_NULL(EOS(STATIC_874), NULL, x0, NULL) → 884_0_length_Return(EOS(STATIC_884), x0)
874_0_length_NULL(EOS(STATIC_874), java.lang.Object(List(EOC)), x0, java.lang.Object(List(EOC))) → 874_0_length_NULL(EOS(STATIC_874), x1, +(x0, 1), x1) | >(+(x0, 1), 0)
1454_0_bubble_Load(EOS(STATIC_1454), x0) → 1629_0_bubble_NULL(EOS(STATIC_1629), x0, x0)
1629_0_bubble_NULL(EOS(STATIC_1629), NULL, NULL) → 1666_0_bubble_Return(EOS(STATIC_1666))
1629_0_bubble_NULL(EOS(STATIC_1629), java.lang.Object(List(EOC)), java.lang.Object(List(EOC))) → 1666_0_bubble_Return(EOS(STATIC_1666))
1629_0_bubble_NULL(EOS(STATIC_1629), java.lang.Object(List(EOC)), java.lang.Object(List(EOC))) → 1669_0_bubble_Return(EOS(STATIC_1669))
1629_0_bubble_NULL(EOS(STATIC_1629), java.lang.Object(List(EOC)), java.lang.Object(List(EOC))) → 1629_0_bubble_NULL(EOS(STATIC_1629), java.lang.Object(List(EOC)), java.lang.Object(List(EOC)))

Filtered ground terms:

1366_0_main_GE(x1, x2, x3, x4, x5, x6, x7) → 1366_0_main_GE(x3, x4, x5, x6, x7)
ARRAY(x1) → ARRAY
Cond_1454_1_main_InvokeMethod2(x1, x2, x3, x4, x5, x6, x7) → Cond_1454_1_main_InvokeMethod2(x1, x4, x5, x6, x7)
1669_0_bubble_Return(x1) → 1669_0_bubble_Return
1454_1_main_InvokeMethod(x1, x2, x3, x4, x5, x6) → 1454_1_main_InvokeMethod(x1, x3, x4, x5, x6)
Cond_1454_1_main_InvokeMethod1(x1, x2, x3, x4, x5, x6, x7) → Cond_1454_1_main_InvokeMethod1(x1, x4, x5, x6, x7)
1666_0_bubble_Return(x1) → 1666_0_bubble_Return
Cond_1454_1_main_InvokeMethod(x1, x2, x3, x4, x5, x6, x7) → Cond_1454_1_main_InvokeMethod(x1, x4, x5, x6, x7)
1634_0_bubble_Return(x1) → 1634_0_bubble_Return
1454_0_bubble_Load(x1, x2) → 1454_0_bubble_Load(x2)
Cond_1366_0_main_GE1(x1, x2, x3, x4, x5, x6, x7, x8, x9) → Cond_1366_0_main_GE1(x1, x4, x5, x6, x7, x8, x9)
968_1_main_InvokeMethod(x1, x2, x3, x4) → 968_1_main_InvokeMethod(x1, x3, x4)
968_0_length_ConstantStackPush(x1, x2) → 968_0_length_ConstantStackPush(x2)
Cond_1366_0_main_GE(x1, x2, x3, x4, x5, x6, x7, x8, x9) → Cond_1366_0_main_GE(x1, x4, x5, x6, x7, x8, x9)
884_0_length_Return(x1, x2) → 884_0_length_Return(x2)
1629_0_bubble_NULL(x1, x2, x3) → 1629_0_bubble_NULL(x2, x3)
List(x1) → List
874_0_length_NULL(x1, x2, x3, x4) → 874_0_length_NULL(x2, x3, x4)
Cond_874_0_length_NULL(x1, x2, x3, x4, x5, x6) → Cond_874_0_length_NULL(x1, x4, x6)

Filtered duplicate args:

1366_0_main_GE(x1, x2, x3, x4, x5) → 1366_0_main_GE(x1, x4, x5)
Cond_1366_0_main_GE(x1, x2, x3, x4, x5, x6, x7) → Cond_1366_0_main_GE(x1, x2, x5, x6, x7)
Cond_1366_0_main_GE1(x1, x2, x3, x4, x5, x6, x7) → Cond_1366_0_main_GE1(x1, x2, x5, x6, x7)
874_0_length_NULL(x1, x2, x3) → 874_0_length_NULL(x2, x3)
1629_0_bubble_NULL(x1, x2) → 1629_0_bubble_NULL(x2)

Filtered unneeded arguments:

968_1_main_InvokeMethod(x1, x2, x3) → 968_1_main_InvokeMethod(x1, x2)
Cond_1366_0_main_GE(x1, x2, x3, x4, x5) → Cond_1366_0_main_GE(x1, x2, x5)
1454_1_main_InvokeMethod(x1, x2, x3, x4, x5) → 1454_1_main_InvokeMethod(x1, x2, x3, x4)
Cond_1454_1_main_InvokeMethod(x1, x2, x3, x4, x5) → Cond_1454_1_main_InvokeMethod(x1, x2, x3, x4)
Cond_1454_1_main_InvokeMethod1(x1, x2, x3, x4, x5) → Cond_1454_1_main_InvokeMethod1(x1, x2, x3, x4)
Cond_1454_1_main_InvokeMethod2(x1, x2, x3, x4, x5) → Cond_1454_1_main_InvokeMethod2(x1, x2, x3, x4)

Combined rules. Obtained 6 conditional rules for P and 8 conditional rules for R.

P rules:
968_1_main_InvokeMethod(884_0_length_Return(x0), x2) → 1366_0_main_GE(x2, 0, x0)
1366_0_main_GE(x1, x3, x2) → 968_1_main_InvokeMethod(968_0_length_ConstantStackPush(x4), +(x1, 1)) | &&(&&(>=(x3, x2), >(x1, -1)), <(x1, 2))
1366_0_main_GE(x1, x3, x2) → 1454_1_main_InvokeMethod(1454_0_bubble_Load(x4), x1, x2, x3) | <(x3, x2)
1454_1_main_InvokeMethod(1634_0_bubble_Return, x1, x2, x3) → 1366_0_main_GE(x1, +(x3, 1), x2) | >(x3, -1)
1454_1_main_InvokeMethod(1666_0_bubble_Return, x1, x2, x3) → 1366_0_main_GE(x1, +(x3, 1), x2) | >(x3, -1)
1454_1_main_InvokeMethod(1669_0_bubble_Return, x1, x2, x3) → 1366_0_main_GE(x1, +(x3, 1), x2) | >(x3, -1)
R rules:
968_0_length_ConstantStackPush(x0) → 874_0_length_NULL(0, x0)
874_0_length_NULL(x0, NULL) → 884_0_length_Return(x0)
874_0_length_NULL(x0, java.lang.Object(List)) → 874_0_length_NULL(+(x0, 1), x1) | >(x0, -1)
1454_0_bubble_Load(x0) → 1629_0_bubble_NULL(x0)
1629_0_bubble_NULL(NULL) → 1666_0_bubble_Return
1629_0_bubble_NULL(java.lang.Object(List)) → 1666_0_bubble_Return
1629_0_bubble_NULL(java.lang.Object(List)) → 1669_0_bubble_Return
1629_0_bubble_NULL(java.lang.Object(List)) → 1629_0_bubble_NULL(java.lang.Object(List))

Performed bisimulation on rules. Used the following equivalence classes: {[List, 1666_0_bubble_Return, 1669_0_bubble_Return, 1634_0_bubble_Return]=List, [Cond_1454_1_main_InvokeMethod_5, Cond_1454_1_main_InvokeMethod1_5, Cond_1454_1_main_InvokeMethod2_5]=Cond_1454_1_main_InvokeMethod_5}

Finished conversion. Obtained 7 rules for P and 8 rules for R. System has predefined symbols.

P rules:
968_1_MAIN_INVOKEMETHOD(884_0_length_Return(x0), x2) → 1366_0_MAIN_GE(x2, 0, x0)
1366_0_MAIN_GE(x1, x3, x2) → COND_1366_0_MAIN_GE(&&(&&(>=(x3, x2), >(x1, -1)), <(x1, 2)), x1, x3, x2, x4)
COND_1366_0_MAIN_GE(TRUE, x1, x3, x2, x4) → 968_1_MAIN_INVOKEMETHOD(968_0_length_ConstantStackPush(x4), +(x1, 1))
1366_0_MAIN_GE(x1, x3, x2) → COND_1366_0_MAIN_GE1(<(x3, x2), x1, x3, x2, x4)
COND_1366_0_MAIN_GE1(TRUE, x1, x3, x2, x4) → 1454_1_MAIN_INVOKEMETHOD(1454_0_bubble_Load(x4), x1, x2, x3)
1454_1_MAIN_INVOKEMETHOD(List, x1, x2, x3) → COND_1454_1_MAIN_INVOKEMETHOD(>(x3, -1), List, x1, x2, x3)
COND_1454_1_MAIN_INVOKEMETHOD(TRUE, List, x1, x2, x3) → 1366_0_MAIN_GE(x1, +(x3, 1), x2)
R rules:
968_0_length_ConstantStackPush(x0) → 874_0_length_NULL(0, x0)
874_0_length_NULL(x0, NULL) → 884_0_length_Return(x0)
874_0_length_NULL(x0, java.lang.Object(List)) → Cond_874_0_length_NULL(>(x0, -1), x0, java.lang.Object(List), x1)
Cond_874_0_length_NULL(TRUE, x0, java.lang.Object(List), x1) → 874_0_length_NULL(+(x0, 1), x1)
1454_0_bubble_Load(x0) → 1629_0_bubble_NULL(x0)
1629_0_bubble_NULL(NULL) → List
1629_0_bubble_NULL(java.lang.Object(List)) → List
1629_0_bubble_NULL(java.lang.Object(List)) → 1629_0_bubble_NULL(java.lang.Object(List))

(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:
968_0_length_ConstantStackPush(x0) → 874_0_length_NULL(0, x0)
874_0_length_NULL(x0, NULL) → 884_0_length_Return(x0)
874_0_length_NULL(x0, java.lang.Object(List)) → Cond_874_0_length_NULL(x0 > -1, x0, java.lang.Object(List), x1)
Cond_874_0_length_NULL(TRUE, x0, java.lang.Object(List), x1) → 874_0_length_NULL(x0 + 1, x1)
1454_0_bubble_Load(x0) → 1629_0_bubble_NULL(x0)
1629_0_bubble_NULL(NULL) → List
1629_0_bubble_NULL(java.lang.Object(List)) → List
1629_0_bubble_NULL(java.lang.Object(List)) → 1629_0_bubble_NULL(java.lang.Object(List))

The integer pair graph contains the following rules and edges:
(0): 968_1_MAIN_INVOKEMETHOD(884_0_length_Return(x0[0]), x2[0]) → 1366_0_MAIN_GE(x2[0], 0, x0[0])
(1): 1366_0_MAIN_GE(x1[1], x3[1], x2[1]) → COND_1366_0_MAIN_GE(x3[1] >= x2[1] && x1[1] > -1 && x1[1] < 2, x1[1], x3[1], x2[1], x4[1])
(2): COND_1366_0_MAIN_GE(TRUE, x1[2], x3[2], x2[2], x4[2]) → 968_1_MAIN_INVOKEMETHOD(968_0_length_ConstantStackPush(x4[2]), x1[2] + 1)
(3): 1366_0_MAIN_GE(x1[3], x3[3], x2[3]) → COND_1366_0_MAIN_GE1(x3[3] < x2[3], x1[3], x3[3], x2[3], x4[3])
(4): COND_1366_0_MAIN_GE1(TRUE, x1[4], x3[4], x2[4], x4[4]) → 1454_1_MAIN_INVOKEMETHOD(1454_0_bubble_Load(x4[4]), x1[4], x2[4], x3[4])
(5): 1454_1_MAIN_INVOKEMETHOD(List, x1[5], x2[5], x3[5]) → COND_1454_1_MAIN_INVOKEMETHOD(x3[5] > -1, List, x1[5], x2[5], x3[5])
(6): COND_1454_1_MAIN_INVOKEMETHOD(TRUE, List, x1[6], x2[6], x3[6]) → 1366_0_MAIN_GE(x1[6], x3[6] + 1, x2[6])

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

(0) -> (3), if (x2[0] →^* x1[3]∧0 →^* x3[3]∧x0[0] →^* x2[3])

(1) -> (2), if (x3[1] >= x2[1] && x1[1] > -1 && x1[1] < 2 ∧x1[1] →^* x1[2]∧x3[1] →^* x3[2]∧x2[1] →^* x2[2]∧x4[1] →^* x4[2])

(2) -> (0), if (968_0_length_ConstantStackPush(x4[2]) →^* 884_0_length_Return(x0[0])∧x1[2] + 1 →^* x2[0])

(3) -> (4), if (x3[3] < x2[3] ∧x1[3] →^* x1[4]∧x3[3] →^* x3[4]∧x2[3] →^* x2[4]∧x4[3] →^* x4[4])

(4) -> (5), if (1454_0_bubble_Load(x4[4]) →^* List∧x1[4] →^* x1[5]∧x2[4] →^* x2[5]∧x3[4] →^* x3[5])

(5) -> (6), if (x3[5] > -1 ∧x1[5] →^* x1[6]∧x2[5] →^* x2[6]∧x3[5] →^* x3[6])

(6) -> (1), if (x1[6] →^* x1[1]∧x3[6] + 1 →^* x3[1]∧x2[6] →^* x2[1])

(6) -> (3), if (x1[6] →^* x1[3]∧x3[6] + 1 →^* x3[3]∧x2[6] →^* x2[3])

The set Q consists of the following terms:
968_0_length_ConstantStackPush(x0)
874_0_length_NULL(x0, NULL)
874_0_length_NULL(x0, java.lang.Object(List))
Cond_874_0_length_NULL(TRUE, x0, java.lang.Object(List), x1)
1454_0_bubble_Load(x0)
1629_0_bubble_NULL(NULL)
1629_0_bubble_NULL(java.lang.Object(List))

(33) 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.IdpDefaultShapeHeuristic@19dd1f12 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 968_1_MAIN_INVOKEMETHOD(884_0_length_Return(x0), x2) → 1366_0_MAIN_GE(x2, 0, x0) the following chains were created:

We consider the chain COND_1366_0_MAIN_GE(TRUE, x1[2], x3[2], x2[2], x4[2]) → 968_1_MAIN_INVOKEMETHOD(968_0_length_ConstantStackPush(x4[2]), +(x1[2], 1)), 968_1_MAIN_INVOKEMETHOD(884_0_length_Return(x0[0]), x2[0]) → 1366_0_MAIN_GE(x2[0], 0, x0[0]), 1366_0_MAIN_GE(x1[1], x3[1], x2[1]) → COND_1366_0_MAIN_GE(&&(&&(>=(x3[1], x2[1]), >(x1[1], -1)), <(x1[1], 2)), x1[1], x3[1], x2[1], x4[1]) which results in the following constraint:
(1)    (968_0_length_ConstantStackPush(x4[2])=884_0_length_Return(x0[0])∧+(x1[2], 1)=x2[0]∧x2[0]=x1[1]∧0=x3[1]∧x0[0]=x2[1] ⇒ 968_1_MAIN_INVOKEMETHOD(884_0_length_Return(x0[0]), x2[0])≥NonInfC∧968_1_MAIN_INVOKEMETHOD(884_0_length_Return(x0[0]), x2[0])≥1366_0_MAIN_GE(x2[0], 0, x0[0])∧(U^Increasing(1366_0_MAIN_GE(x2[0], 0, x0[0])), ≥))

We simplified constraint (1) using rules (III), (IV), (VII), (REWRITING) which results in the following new constraint:
(2)    (0=x0∧874_0_length_NULL(x0, x4[2])=884_0_length_Return(x0[0]) ⇒ 968_1_MAIN_INVOKEMETHOD(884_0_length_Return(x0[0]), +(x1[2], 1))≥NonInfC∧968_1_MAIN_INVOKEMETHOD(884_0_length_Return(x0[0]), +(x1[2], 1))≥1366_0_MAIN_GE(+(x1[2], 1), 0, x0[0])∧(U^Increasing(1366_0_MAIN_GE(x2[0], 0, x0[0])), ≥))

We simplified constraint (2) using rule (V) (with possible (I) afterwards) using induction on 874_0_length_NULL(x0, x4[2])=884_0_length_Return(x0[0]) which results in the following new constraints:
(3)    (884_0_length_Return(x1)=884_0_length_Return(x0[0])∧0=x1 ⇒ 968_1_MAIN_INVOKEMETHOD(884_0_length_Return(x0[0]), +(x1[2], 1))≥NonInfC∧968_1_MAIN_INVOKEMETHOD(884_0_length_Return(x0[0]), +(x1[2], 1))≥1366_0_MAIN_GE(+(x1[2], 1), 0, x0[0])∧(U^Increasing(1366_0_MAIN_GE(x2[0], 0, x0[0])), ≥))

(4)    (Cond_874_0_length_NULL(>(x2, -1), x2, java.lang.Object(List), x3)=884_0_length_Return(x0[0])∧0=x2 ⇒ 968_1_MAIN_INVOKEMETHOD(884_0_length_Return(x0[0]), +(x1[2], 1))≥NonInfC∧968_1_MAIN_INVOKEMETHOD(884_0_length_Return(x0[0]), +(x1[2], 1))≥1366_0_MAIN_GE(+(x1[2], 1), 0, x0[0])∧(U^Increasing(1366_0_MAIN_GE(x2[0], 0, x0[0])), ≥))

We simplified constraint (3) using rules (I), (II), (III) which results in the following new constraint:
(5)    (968_1_MAIN_INVOKEMETHOD(884_0_length_Return(0), +(x1[2], 1))≥NonInfC∧968_1_MAIN_INVOKEMETHOD(884_0_length_Return(0), +(x1[2], 1))≥1366_0_MAIN_GE(+(x1[2], 1), 0, 0)∧(U^Increasing(1366_0_MAIN_GE(x2[0], 0, x0[0])), ≥))

We simplified constraint (4) using rules (III), (VII), (IDP_CONSTANT_FOLD) which results in the following new constraint:
(6)    (Cond_874_0_length_NULL(TRUE, 0, java.lang.Object(List), x3)=884_0_length_Return(x0[0]) ⇒ 968_1_MAIN_INVOKEMETHOD(884_0_length_Return(x0[0]), +(x1[2], 1))≥NonInfC∧968_1_MAIN_INVOKEMETHOD(884_0_length_Return(x0[0]), +(x1[2], 1))≥1366_0_MAIN_GE(+(x1[2], 1), 0, x0[0])∧(U^Increasing(1366_0_MAIN_GE(x2[0], 0, x0[0])), ≥))

We simplified constraint (5) using rule (POLY_CONSTRAINTS) which results in the following new constraint:
(7)    ((U^Increasing(1366_0_MAIN_GE(x2[0], 0, x0[0])), ≥)∧[bni_57] = 0∧[(-1)bso_58] ≥ 0)

We simplified constraint (6) using rule (POLY_CONSTRAINTS) which results in the following new constraint:
(8)    ((U^Increasing(1366_0_MAIN_GE(x2[0], 0, x0[0])), ≥)∧0 ≥ 0∧[(-1)bso_58] ≥ 0)

We simplified constraint (7) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:
(9)    ((U^Increasing(1366_0_MAIN_GE(x2[0], 0, x0[0])), ≥)∧[bni_57] = 0∧[(-1)bso_58] ≥ 0)

We simplified constraint (8) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:
(10)    ((U^Increasing(1366_0_MAIN_GE(x2[0], 0, x0[0])), ≥)∧0 ≥ 0∧[(-1)bso_58] ≥ 0)

We simplified constraint (9) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:
(11)    ((U^Increasing(1366_0_MAIN_GE(x2[0], 0, x0[0])), ≥)∧[bni_57] = 0∧[(-1)bso_58] ≥ 0)

We simplified constraint (10) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:
(12)    ((U^Increasing(1366_0_MAIN_GE(x2[0], 0, x0[0])), ≥)∧0 ≥ 0∧[(-1)bso_58] ≥ 0)

We simplified constraint (11) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:
(13)    ((U^Increasing(1366_0_MAIN_GE(x2[0], 0, x0[0])), ≥)∧[bni_57] = 0∧0 = 0∧[(-1)bso_58] ≥ 0)

We simplified constraint (12) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:
(14)    ((U^Increasing(1366_0_MAIN_GE(x2[0], 0, x0[0])), ≥)∧0 = 0∧0 = 0∧0 ≥ 0∧0 = 0∧0 = 0∧[(-1)bso_58] ≥ 0)
We consider the chain COND_1366_0_MAIN_GE(TRUE, x1[2], x3[2], x2[2], x4[2]) → 968_1_MAIN_INVOKEMETHOD(968_0_length_ConstantStackPush(x4[2]), +(x1[2], 1)), 968_1_MAIN_INVOKEMETHOD(884_0_length_Return(x0[0]), x2[0]) → 1366_0_MAIN_GE(x2[0], 0, x0[0]), 1366_0_MAIN_GE(x1[3], x3[3], x2[3]) → COND_1366_0_MAIN_GE1(<(x3[3], x2[3]), x1[3], x3[3], x2[3], x4[3]) which results in the following constraint:
(15)    (968_0_length_ConstantStackPush(x4[2])=884_0_length_Return(x0[0])∧+(x1[2], 1)=x2[0]∧x2[0]=x1[3]∧0=x3[3]∧x0[0]=x2[3] ⇒ 968_1_MAIN_INVOKEMETHOD(884_0_length_Return(x0[0]), x2[0])≥NonInfC∧968_1_MAIN_INVOKEMETHOD(884_0_length_Return(x0[0]), x2[0])≥1366_0_MAIN_GE(x2[0], 0, x0[0])∧(U^Increasing(1366_0_MAIN_GE(x2[0], 0, x0[0])), ≥))

We simplified constraint (15) using rules (III), (IV), (VII), (REWRITING) which results in the following new constraint:
(16)    (0=x6∧874_0_length_NULL(x6, x4[2])=884_0_length_Return(x0[0]) ⇒ 968_1_MAIN_INVOKEMETHOD(884_0_length_Return(x0[0]), +(x1[2], 1))≥NonInfC∧968_1_MAIN_INVOKEMETHOD(884_0_length_Return(x0[0]), +(x1[2], 1))≥1366_0_MAIN_GE(+(x1[2], 1), 0, x0[0])∧(U^Increasing(1366_0_MAIN_GE(x2[0], 0, x0[0])), ≥))

We simplified constraint (16) using rule (V) (with possible (I) afterwards) using induction on 874_0_length_NULL(x6, x4[2])=884_0_length_Return(x0[0]) which results in the following new constraints:
(17)    (884_0_length_Return(x7)=884_0_length_Return(x0[0])∧0=x7 ⇒ 968_1_MAIN_INVOKEMETHOD(884_0_length_Return(x0[0]), +(x1[2], 1))≥NonInfC∧968_1_MAIN_INVOKEMETHOD(884_0_length_Return(x0[0]), +(x1[2], 1))≥1366_0_MAIN_GE(+(x1[2], 1), 0, x0[0])∧(U^Increasing(1366_0_MAIN_GE(x2[0], 0, x0[0])), ≥))

(18)    (Cond_874_0_length_NULL(>(x8, -1), x8, java.lang.Object(List), x9)=884_0_length_Return(x0[0])∧0=x8 ⇒ 968_1_MAIN_INVOKEMETHOD(884_0_length_Return(x0[0]), +(x1[2], 1))≥NonInfC∧968_1_MAIN_INVOKEMETHOD(884_0_length_Return(x0[0]), +(x1[2], 1))≥1366_0_MAIN_GE(+(x1[2], 1), 0, x0[0])∧(U^Increasing(1366_0_MAIN_GE(x2[0], 0, x0[0])), ≥))

We simplified constraint (17) using rules (I), (II), (III) which results in the following new constraint:
(19)    (968_1_MAIN_INVOKEMETHOD(884_0_length_Return(0), +(x1[2], 1))≥NonInfC∧968_1_MAIN_INVOKEMETHOD(884_0_length_Return(0), +(x1[2], 1))≥1366_0_MAIN_GE(+(x1[2], 1), 0, 0)∧(U^Increasing(1366_0_MAIN_GE(x2[0], 0, x0[0])), ≥))

We simplified constraint (18) using rules (III), (VII), (IDP_CONSTANT_FOLD) which results in the following new constraint:
(20)    (Cond_874_0_length_NULL(TRUE, 0, java.lang.Object(List), x9)=884_0_length_Return(x0[0]) ⇒ 968_1_MAIN_INVOKEMETHOD(884_0_length_Return(x0[0]), +(x1[2], 1))≥NonInfC∧968_1_MAIN_INVOKEMETHOD(884_0_length_Return(x0[0]), +(x1[2], 1))≥1366_0_MAIN_GE(+(x1[2], 1), 0, x0[0])∧(U^Increasing(1366_0_MAIN_GE(x2[0], 0, x0[0])), ≥))

We simplified constraint (19) using rule (POLY_CONSTRAINTS) which results in the following new constraint:
(21)    ((U^Increasing(1366_0_MAIN_GE(x2[0], 0, x0[0])), ≥)∧[bni_57] = 0∧[(-1)bso_58] ≥ 0)

We simplified constraint (20) using rule (POLY_CONSTRAINTS) which results in the following new constraint:
(22)    ((U^Increasing(1366_0_MAIN_GE(x2[0], 0, x0[0])), ≥)∧0 ≥ 0∧[(-1)bso_58] ≥ 0)

We simplified constraint (21) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:
(23)    ((U^Increasing(1366_0_MAIN_GE(x2[0], 0, x0[0])), ≥)∧[bni_57] = 0∧[(-1)bso_58] ≥ 0)

We simplified constraint (22) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:
(24)    ((U^Increasing(1366_0_MAIN_GE(x2[0], 0, x0[0])), ≥)∧0 ≥ 0∧[(-1)bso_58] ≥ 0)

We simplified constraint (23) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:
(25)    ((U^Increasing(1366_0_MAIN_GE(x2[0], 0, x0[0])), ≥)∧[bni_57] = 0∧[(-1)bso_58] ≥ 0)

We simplified constraint (24) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:
(26)    ((U^Increasing(1366_0_MAIN_GE(x2[0], 0, x0[0])), ≥)∧0 ≥ 0∧[(-1)bso_58] ≥ 0)

We simplified constraint (25) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:
(27)    ((U^Increasing(1366_0_MAIN_GE(x2[0], 0, x0[0])), ≥)∧[bni_57] = 0∧0 = 0∧[(-1)bso_58] ≥ 0)

We simplified constraint (26) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:
(28)    ((U^Increasing(1366_0_MAIN_GE(x2[0], 0, x0[0])), ≥)∧0 = 0∧0 = 0∧0 ≥ 0∧0 = 0∧0 = 0∧[(-1)bso_58] ≥ 0)

For Pair 1366_0_MAIN_GE(x1, x3, x2) → COND_1366_0_MAIN_GE(&&(&&(>=(x3, x2), >(x1, -1)), <(x1, 2)), x1, x3, x2, x4) the following chains were created:

We consider the chain 968_1_MAIN_INVOKEMETHOD(884_0_length_Return(x0[0]), x2[0]) → 1366_0_MAIN_GE(x2[0], 0, x0[0]), 1366_0_MAIN_GE(x1[1], x3[1], x2[1]) → COND_1366_0_MAIN_GE(&&(&&(>=(x3[1], x2[1]), >(x1[1], -1)), <(x1[1], 2)), x1[1], x3[1], x2[1], x4[1]), COND_1366_0_MAIN_GE(TRUE, x1[2], x3[2], x2[2], x4[2]) → 968_1_MAIN_INVOKEMETHOD(968_0_length_ConstantStackPush(x4[2]), +(x1[2], 1)) which results in the following constraint:
(29)    (x2[0]=x1[1]∧0=x3[1]∧x0[0]=x2[1]∧&&(&&(>=(x3[1], x2[1]), >(x1[1], -1)), <(x1[1], 2))=TRUE∧x1[1]=x1[2]∧x3[1]=x3[2]∧x2[1]=x2[2]∧x4[1]=x4[2] ⇒ 1366_0_MAIN_GE(x1[1], x3[1], x2[1])≥NonInfC∧1366_0_MAIN_GE(x1[1], x3[1], x2[1])≥COND_1366_0_MAIN_GE(&&(&&(>=(x3[1], x2[1]), >(x1[1], -1)), <(x1[1], 2)), x1[1], x3[1], x2[1], x4[1])∧(U^Increasing(COND_1366_0_MAIN_GE(&&(&&(>=(x3[1], x2[1]), >(x1[1], -1)), <(x1[1], 2)), x1[1], x3[1], x2[1], x4[1])), ≥))

We simplified constraint (29) using rules (III), (IV), (IDP_BOOLEAN) which results in the following new constraint:
(30)    (<(x1[1], 2)=TRUE∧>=(0, x2[1])=TRUE∧>(x1[1], -1)=TRUE ⇒ 1366_0_MAIN_GE(x1[1], 0, x2[1])≥NonInfC∧1366_0_MAIN_GE(x1[1], 0, x2[1])≥COND_1366_0_MAIN_GE(&&(&&(>=(0, x2[1]), >(x1[1], -1)), <(x1[1], 2)), x1[1], 0, x2[1], x4[1])∧(U^Increasing(COND_1366_0_MAIN_GE(&&(&&(>=(x3[1], x2[1]), >(x1[1], -1)), <(x1[1], 2)), x1[1], x3[1], x2[1], x4[1])), ≥))

We simplified constraint (30) using rule (POLY_CONSTRAINTS) which results in the following new constraint:
(31)    ([1] + [-1]x1[1] ≥ 0∧[-1]x2[1] ≥ 0∧x1[1] ≥ 0 ⇒ (U^Increasing(COND_1366_0_MAIN_GE(&&(&&(>=(x3[1], x2[1]), >(x1[1], -1)), <(x1[1], 2)), x1[1], x3[1], x2[1], x4[1])), ≥)∧[(-1)bni_59 + (-1)Bound*bni_59] + [(-1)bni_59]x1[1] ≥ 0∧[(-1)bso_60] ≥ 0)

We simplified constraint (31) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:
(32)    ([1] + [-1]x1[1] ≥ 0∧[-1]x2[1] ≥ 0∧x1[1] ≥ 0 ⇒ (U^Increasing(COND_1366_0_MAIN_GE(&&(&&(>=(x3[1], x2[1]), >(x1[1], -1)), <(x1[1], 2)), x1[1], x3[1], x2[1], x4[1])), ≥)∧[(-1)bni_59 + (-1)Bound*bni_59] + [(-1)bni_59]x1[1] ≥ 0∧[(-1)bso_60] ≥ 0)

We simplified constraint (32) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:
(33)    ([1] + [-1]x1[1] ≥ 0∧[-1]x2[1] ≥ 0∧x1[1] ≥ 0 ⇒ (U^Increasing(COND_1366_0_MAIN_GE(&&(&&(>=(x3[1], x2[1]), >(x1[1], -1)), <(x1[1], 2)), x1[1], x3[1], x2[1], x4[1])), ≥)∧[(-1)bni_59 + (-1)Bound*bni_59] + [(-1)bni_59]x1[1] ≥ 0∧[(-1)bso_60] ≥ 0)

We simplified constraint (33) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:
(34)    ([1] + [-1]x1[1] ≥ 0∧[-1]x2[1] ≥ 0∧x1[1] ≥ 0 ⇒ (U^Increasing(COND_1366_0_MAIN_GE(&&(&&(>=(x3[1], x2[1]), >(x1[1], -1)), <(x1[1], 2)), x1[1], x3[1], x2[1], x4[1])), ≥)∧[(-1)bni_59 + (-1)Bound*bni_59] + [(-1)bni_59]x1[1] ≥ 0∧0 = 0∧[(-1)bso_60] ≥ 0)

We simplified constraint (34) using rule (IDP_SMT_SPLIT) which results in the following new constraint:
(35)    ([1] + [-1]x1[1] ≥ 0∧x2[1] ≥ 0∧x1[1] ≥ 0 ⇒ (U^Increasing(COND_1366_0_MAIN_GE(&&(&&(>=(x3[1], x2[1]), >(x1[1], -1)), <(x1[1], 2)), x1[1], x3[1], x2[1], x4[1])), ≥)∧[(-1)bni_59 + (-1)Bound*bni_59] + [(-1)bni_59]x1[1] ≥ 0∧0 = 0∧[(-1)bso_60] ≥ 0)
We consider the chain COND_1454_1_MAIN_INVOKEMETHOD(TRUE, List, x1[6], x2[6], x3[6]) → 1366_0_MAIN_GE(x1[6], +(x3[6], 1), x2[6]), 1366_0_MAIN_GE(x1[1], x3[1], x2[1]) → COND_1366_0_MAIN_GE(&&(&&(>=(x3[1], x2[1]), >(x1[1], -1)), <(x1[1], 2)), x1[1], x3[1], x2[1], x4[1]), COND_1366_0_MAIN_GE(TRUE, x1[2], x3[2], x2[2], x4[2]) → 968_1_MAIN_INVOKEMETHOD(968_0_length_ConstantStackPush(x4[2]), +(x1[2], 1)) which results in the following constraint:
(36)    (x1[6]=x1[1]∧+(x3[6], 1)=x3[1]∧x2[6]=x2[1]∧&&(&&(>=(x3[1], x2[1]), >(x1[1], -1)), <(x1[1], 2))=TRUE∧x1[1]=x1[2]∧x3[1]=x3[2]∧x2[1]=x2[2]∧x4[1]=x4[2] ⇒ 1366_0_MAIN_GE(x1[1], x3[1], x2[1])≥NonInfC∧1366_0_MAIN_GE(x1[1], x3[1], x2[1])≥COND_1366_0_MAIN_GE(&&(&&(>=(x3[1], x2[1]), >(x1[1], -1)), <(x1[1], 2)), x1[1], x3[1], x2[1], x4[1])∧(U^Increasing(COND_1366_0_MAIN_GE(&&(&&(>=(x3[1], x2[1]), >(x1[1], -1)), <(x1[1], 2)), x1[1], x3[1], x2[1], x4[1])), ≥))

We simplified constraint (36) using rules (III), (IV), (IDP_BOOLEAN) which results in the following new constraint:
(37)    (<(x1[1], 2)=TRUE∧>=(+(x3[6], 1), x2[1])=TRUE∧>(x1[1], -1)=TRUE ⇒ 1366_0_MAIN_GE(x1[1], +(x3[6], 1), x2[1])≥NonInfC∧1366_0_MAIN_GE(x1[1], +(x3[6], 1), x2[1])≥COND_1366_0_MAIN_GE(&&(&&(>=(+(x3[6], 1), x2[1]), >(x1[1], -1)), <(x1[1], 2)), x1[1], +(x3[6], 1), x2[1], x4[1])∧(U^Increasing(COND_1366_0_MAIN_GE(&&(&&(>=(x3[1], x2[1]), >(x1[1], -1)), <(x1[1], 2)), x1[1], x3[1], x2[1], x4[1])), ≥))

We simplified constraint (37) using rule (POLY_CONSTRAINTS) which results in the following new constraint:
(38)    ([1] + [-1]x1[1] ≥ 0∧x3[6] + [1] + [-1]x2[1] ≥ 0∧x1[1] ≥ 0 ⇒ (U^Increasing(COND_1366_0_MAIN_GE(&&(&&(>=(x3[1], x2[1]), >(x1[1], -1)), <(x1[1], 2)), x1[1], x3[1], x2[1], x4[1])), ≥)∧[(-1)bni_59 + (-1)Bound*bni_59] + [(-1)bni_59]x1[1] ≥ 0∧[(-1)bso_60] ≥ 0)

We simplified constraint (38) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:
(39)    ([1] + [-1]x1[1] ≥ 0∧x3[6] + [1] + [-1]x2[1] ≥ 0∧x1[1] ≥ 0 ⇒ (U^Increasing(COND_1366_0_MAIN_GE(&&(&&(>=(x3[1], x2[1]), >(x1[1], -1)), <(x1[1], 2)), x1[1], x3[1], x2[1], x4[1])), ≥)∧[(-1)bni_59 + (-1)Bound*bni_59] + [(-1)bni_59]x1[1] ≥ 0∧[(-1)bso_60] ≥ 0)

We simplified constraint (39) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:
(40)    ([1] + [-1]x1[1] ≥ 0∧x3[6] + [1] + [-1]x2[1] ≥ 0∧x1[1] ≥ 0 ⇒ (U^Increasing(COND_1366_0_MAIN_GE(&&(&&(>=(x3[1], x2[1]), >(x1[1], -1)), <(x1[1], 2)), x1[1], x3[1], x2[1], x4[1])), ≥)∧[(-1)bni_59 + (-1)Bound*bni_59] + [(-1)bni_59]x1[1] ≥ 0∧[(-1)bso_60] ≥ 0)

We simplified constraint (40) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:
(41)    ([1] + [-1]x1[1] ≥ 0∧x3[6] + [1] + [-1]x2[1] ≥ 0∧x1[1] ≥ 0 ⇒ (U^Increasing(COND_1366_0_MAIN_GE(&&(&&(>=(x3[1], x2[1]), >(x1[1], -1)), <(x1[1], 2)), x1[1], x3[1], x2[1], x4[1])), ≥)∧[(-1)bni_59 + (-1)Bound*bni_59] + [(-1)bni_59]x1[1] ≥ 0∧0 = 0∧[(-1)bso_60] ≥ 0)

We simplified constraint (41) using rule (IDP_SMT_SPLIT) which results in the following new constraint:
(42)    ([1] + [-1]x1[1] ≥ 0∧x2[1] ≥ 0∧x1[1] ≥ 0 ⇒ (U^Increasing(COND_1366_0_MAIN_GE(&&(&&(>=(x3[1], x2[1]), >(x1[1], -1)), <(x1[1], 2)), x1[1], x3[1], x2[1], x4[1])), ≥)∧[(-1)bni_59 + (-1)Bound*bni_59] + [(-1)bni_59]x1[1] ≥ 0∧0 = 0∧[(-1)bso_60] ≥ 0)

We simplified constraint (42) using rule (IDP_SMT_SPLIT) which results in the following new constraints:
(43)    ([1] + [-1]x1[1] ≥ 0∧x2[1] ≥ 0∧x1[1] ≥ 0∧x3[6] ≥ 0 ⇒ (U^Increasing(COND_1366_0_MAIN_GE(&&(&&(>=(x3[1], x2[1]), >(x1[1], -1)), <(x1[1], 2)), x1[1], x3[1], x2[1], x4[1])), ≥)∧[(-1)bni_59 + (-1)Bound*bni_59] + [(-1)bni_59]x1[1] ≥ 0∧0 = 0∧[(-1)bso_60] ≥ 0)

(44)    ([1] + [-1]x1[1] ≥ 0∧x2[1] ≥ 0∧x1[1] ≥ 0∧x3[6] ≥ 0 ⇒ (U^Increasing(COND_1366_0_MAIN_GE(&&(&&(>=(x3[1], x2[1]), >(x1[1], -1)), <(x1[1], 2)), x1[1], x3[1], x2[1], x4[1])), ≥)∧[(-1)bni_59 + (-1)Bound*bni_59] + [(-1)bni_59]x1[1] ≥ 0∧0 = 0∧[(-1)bso_60] ≥ 0)

For Pair COND_1366_0_MAIN_GE(TRUE, x1, x3, x2, x4) → 968_1_MAIN_INVOKEMETHOD(968_0_length_ConstantStackPush(x4), +(x1, 1)) the following chains were created:

We consider the chain 1366_0_MAIN_GE(x1[1], x3[1], x2[1]) → COND_1366_0_MAIN_GE(&&(&&(>=(x3[1], x2[1]), >(x1[1], -1)), <(x1[1], 2)), x1[1], x3[1], x2[1], x4[1]), COND_1366_0_MAIN_GE(TRUE, x1[2], x3[2], x2[2], x4[2]) → 968_1_MAIN_INVOKEMETHOD(968_0_length_ConstantStackPush(x4[2]), +(x1[2], 1)), 968_1_MAIN_INVOKEMETHOD(884_0_length_Return(x0[0]), x2[0]) → 1366_0_MAIN_GE(x2[0], 0, x0[0]) which results in the following constraint:
(45)    (&&(&&(>=(x3[1], x2[1]), >(x1[1], -1)), <(x1[1], 2))=TRUE∧x1[1]=x1[2]∧x3[1]=x3[2]∧x2[1]=x2[2]∧x4[1]=x4[2]∧968_0_length_ConstantStackPush(x4[2])=884_0_length_Return(x0[0])∧+(x1[2], 1)=x2[0] ⇒ COND_1366_0_MAIN_GE(TRUE, x1[2], x3[2], x2[2], x4[2])≥NonInfC∧COND_1366_0_MAIN_GE(TRUE, x1[2], x3[2], x2[2], x4[2])≥968_1_MAIN_INVOKEMETHOD(968_0_length_ConstantStackPush(x4[2]), +(x1[2], 1))∧(U^Increasing(968_1_MAIN_INVOKEMETHOD(968_0_length_ConstantStackPush(x4[2]), +(x1[2], 1))), ≥))

We simplified constraint (45) using rules (III), (IV), (VII), (IDP_BOOLEAN), (REWRITING) which results in the following new constraint:
(46)    (0=x12∧874_0_length_NULL(x12, x4[2])=884_0_length_Return(x0[0])∧<(x1[1], 2)=TRUE∧>=(x3[1], x2[1])=TRUE∧>(x1[1], -1)=TRUE ⇒ COND_1366_0_MAIN_GE(TRUE, x1[1], x3[1], x2[1], x4[2])≥NonInfC∧COND_1366_0_MAIN_GE(TRUE, x1[1], x3[1], x2[1], x4[2])≥968_1_MAIN_INVOKEMETHOD(968_0_length_ConstantStackPush(x4[2]), +(x1[1], 1))∧(U^Increasing(968_1_MAIN_INVOKEMETHOD(968_0_length_ConstantStackPush(x4[2]), +(x1[2], 1))), ≥))

We simplified constraint (46) using rule (V) (with possible (I) afterwards) using induction on 874_0_length_NULL(x12, x4[2])=884_0_length_Return(x0[0]) which results in the following new constraints:
(47)    (884_0_length_Return(x13)=884_0_length_Return(x0[0])∧0=x13∧<(x1[1], 2)=TRUE∧>=(x3[1], x2[1])=TRUE∧>(x1[1], -1)=TRUE ⇒ COND_1366_0_MAIN_GE(TRUE, x1[1], x3[1], x2[1], NULL)≥NonInfC∧COND_1366_0_MAIN_GE(TRUE, x1[1], x3[1], x2[1], NULL)≥968_1_MAIN_INVOKEMETHOD(968_0_length_ConstantStackPush(NULL), +(x1[1], 1))∧(U^Increasing(968_1_MAIN_INVOKEMETHOD(968_0_length_ConstantStackPush(x4[2]), +(x1[2], 1))), ≥))

(48)    (Cond_874_0_length_NULL(>(x14, -1), x14, java.lang.Object(List), x15)=884_0_length_Return(x0[0])∧0=x14∧<(x1[1], 2)=TRUE∧>=(x3[1], x2[1])=TRUE∧>(x1[1], -1)=TRUE ⇒ COND_1366_0_MAIN_GE(TRUE, x1[1], x3[1], x2[1], java.lang.Object(List))≥NonInfC∧COND_1366_0_MAIN_GE(TRUE, x1[1], x3[1], x2[1], java.lang.Object(List))≥968_1_MAIN_INVOKEMETHOD(968_0_length_ConstantStackPush(java.lang.Object(List)), +(x1[1], 1))∧(U^Increasing(968_1_MAIN_INVOKEMETHOD(968_0_length_ConstantStackPush(x4[2]), +(x1[2], 1))), ≥))

We simplified constraint (47) using rules (I), (II), (IV) which results in the following new constraint:
(49)    (<(x1[1], 2)=TRUE∧>=(x3[1], x2[1])=TRUE∧>(x1[1], -1)=TRUE ⇒ COND_1366_0_MAIN_GE(TRUE, x1[1], x3[1], x2[1], NULL)≥NonInfC∧COND_1366_0_MAIN_GE(TRUE, x1[1], x3[1], x2[1], NULL)≥968_1_MAIN_INVOKEMETHOD(968_0_length_ConstantStackPush(NULL), +(x1[1], 1))∧(U^Increasing(968_1_MAIN_INVOKEMETHOD(968_0_length_ConstantStackPush(x4[2]), +(x1[2], 1))), ≥))

We simplified constraint (48) using rules (III), (VII), (IDP_CONSTANT_FOLD) which results in the following new constraint:
(50)    (<(x1[1], 2)=TRUE∧>=(x3[1], x2[1])=TRUE∧>(x1[1], -1)=TRUE∧Cond_874_0_length_NULL(TRUE, 0, java.lang.Object(List), x15)=884_0_length_Return(x0[0]) ⇒ COND_1366_0_MAIN_GE(TRUE, x1[1], x3[1], x2[1], java.lang.Object(List))≥NonInfC∧COND_1366_0_MAIN_GE(TRUE, x1[1], x3[1], x2[1], java.lang.Object(List))≥968_1_MAIN_INVOKEMETHOD(968_0_length_ConstantStackPush(java.lang.Object(List)), +(x1[1], 1))∧(U^Increasing(968_1_MAIN_INVOKEMETHOD(968_0_length_ConstantStackPush(x4[2]), +(x1[2], 1))), ≥))

We simplified constraint (49) using rule (POLY_CONSTRAINTS) which results in the following new constraint:
(51)    ([1] + [-1]x1[1] ≥ 0∧x3[1] + [-1]x2[1] ≥ 0∧x1[1] ≥ 0 ⇒ (U^Increasing(968_1_MAIN_INVOKEMETHOD(968_0_length_ConstantStackPush(x4[2]), +(x1[2], 1))), ≥)∧[(-1)bni_61 + (-1)Bound*bni_61] + [(-1)bni_61]x1[1] ≥ 0∧[1 + (-1)bso_62] ≥ 0)

We simplified constraint (50) using rule (POLY_CONSTRAINTS) which results in the following new constraint:
(52)    ([1] + [-1]x1[1] ≥ 0∧x3[1] + [-1]x2[1] ≥ 0∧x1[1] ≥ 0 ⇒ (U^Increasing(968_1_MAIN_INVOKEMETHOD(968_0_length_ConstantStackPush(x4[2]), +(x1[2], 1))), ≥)∧[(-1)bni_61 + (-1)Bound*bni_61] + [(-1)bni_61]x1[1] ≥ 0∧[1 + (-1)bso_62] ≥ 0)

We simplified constraint (51) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:
(53)    ([1] + [-1]x1[1] ≥ 0∧x3[1] + [-1]x2[1] ≥ 0∧x1[1] ≥ 0 ⇒ (U^Increasing(968_1_MAIN_INVOKEMETHOD(968_0_length_ConstantStackPush(x4[2]), +(x1[2], 1))), ≥)∧[(-1)bni_61 + (-1)Bound*bni_61] + [(-1)bni_61]x1[1] ≥ 0∧[1 + (-1)bso_62] ≥ 0)

We simplified constraint (52) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:
(54)    ([1] + [-1]x1[1] ≥ 0∧x3[1] + [-1]x2[1] ≥ 0∧x1[1] ≥ 0 ⇒ (U^Increasing(968_1_MAIN_INVOKEMETHOD(968_0_length_ConstantStackPush(x4[2]), +(x1[2], 1))), ≥)∧[(-1)bni_61 + (-1)Bound*bni_61] + [(-1)bni_61]x1[1] ≥ 0∧[1 + (-1)bso_62] ≥ 0)

We simplified constraint (53) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:
(55)    ([1] + [-1]x1[1] ≥ 0∧x3[1] + [-1]x2[1] ≥ 0∧x1[1] ≥ 0 ⇒ (U^Increasing(968_1_MAIN_INVOKEMETHOD(968_0_length_ConstantStackPush(x4[2]), +(x1[2], 1))), ≥)∧[(-1)bni_61 + (-1)Bound*bni_61] + [(-1)bni_61]x1[1] ≥ 0∧[1 + (-1)bso_62] ≥ 0)

We simplified constraint (54) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:
(56)    ([1] + [-1]x1[1] ≥ 0∧x3[1] + [-1]x2[1] ≥ 0∧x1[1] ≥ 0 ⇒ (U^Increasing(968_1_MAIN_INVOKEMETHOD(968_0_length_ConstantStackPush(x4[2]), +(x1[2], 1))), ≥)∧[(-1)bni_61 + (-1)Bound*bni_61] + [(-1)bni_61]x1[1] ≥ 0∧[1 + (-1)bso_62] ≥ 0)

We simplified constraint (55) using rule (IDP_SMT_SPLIT) which results in the following new constraint:
(57)    ([1] + [-1]x1[1] ≥ 0∧x3[1] ≥ 0∧x1[1] ≥ 0 ⇒ (U^Increasing(968_1_MAIN_INVOKEMETHOD(968_0_length_ConstantStackPush(x4[2]), +(x1[2], 1))), ≥)∧[(-1)bni_61 + (-1)Bound*bni_61] + [(-1)bni_61]x1[1] ≥ 0∧[1 + (-1)bso_62] ≥ 0)

We simplified constraint (56) using rule (IDP_SMT_SPLIT) which results in the following new constraint:
(58)    ([1] + [-1]x1[1] ≥ 0∧x3[1] ≥ 0∧x1[1] ≥ 0 ⇒ (U^Increasing(968_1_MAIN_INVOKEMETHOD(968_0_length_ConstantStackPush(x4[2]), +(x1[2], 1))), ≥)∧[(-1)bni_61 + (-1)Bound*bni_61] + [(-1)bni_61]x1[1] ≥ 0∧[1 + (-1)bso_62] ≥ 0)

We simplified constraint (57) using rule (IDP_SMT_SPLIT) which results in the following new constraints:
(59)    ([1] + [-1]x1[1] ≥ 0∧x3[1] ≥ 0∧x1[1] ≥ 0∧x2[1] ≥ 0 ⇒ (U^Increasing(968_1_MAIN_INVOKEMETHOD(968_0_length_ConstantStackPush(x4[2]), +(x1[2], 1))), ≥)∧[(-1)bni_61 + (-1)Bound*bni_61] + [(-1)bni_61]x1[1] ≥ 0∧[1 + (-1)bso_62] ≥ 0)

(60)    ([1] + [-1]x1[1] ≥ 0∧x3[1] ≥ 0∧x1[1] ≥ 0∧x2[1] ≥ 0 ⇒ (U^Increasing(968_1_MAIN_INVOKEMETHOD(968_0_length_ConstantStackPush(x4[2]), +(x1[2], 1))), ≥)∧[(-1)bni_61 + (-1)Bound*bni_61] + [(-1)bni_61]x1[1] ≥ 0∧[1 + (-1)bso_62] ≥ 0)

We simplified constraint (58) using rule (IDP_SMT_SPLIT) which results in the following new constraints:
(61)    ([1] + [-1]x1[1] ≥ 0∧x3[1] ≥ 0∧x1[1] ≥ 0∧x2[1] ≥ 0 ⇒ (U^Increasing(968_1_MAIN_INVOKEMETHOD(968_0_length_ConstantStackPush(x4[2]), +(x1[2], 1))), ≥)∧[(-1)bni_61 + (-1)Bound*bni_61] + [(-1)bni_61]x1[1] ≥ 0∧[1 + (-1)bso_62] ≥ 0)

(62)    ([1] + [-1]x1[1] ≥ 0∧x3[1] ≥ 0∧x1[1] ≥ 0∧x2[1] ≥ 0 ⇒ (U^Increasing(968_1_MAIN_INVOKEMETHOD(968_0_length_ConstantStackPush(x4[2]), +(x1[2], 1))), ≥)∧[(-1)bni_61 + (-1)Bound*bni_61] + [(-1)bni_61]x1[1] ≥ 0∧[1 + (-1)bso_62] ≥ 0)

For Pair 1366_0_MAIN_GE(x1, x3, x2) → COND_1366_0_MAIN_GE1(<(x3, x2), x1, x3, x2, x4) the following chains were created:

We consider the chain 968_1_MAIN_INVOKEMETHOD(884_0_length_Return(x0[0]), x2[0]) → 1366_0_MAIN_GE(x2[0], 0, x0[0]), 1366_0_MAIN_GE(x1[3], x3[3], x2[3]) → COND_1366_0_MAIN_GE1(<(x3[3], x2[3]), x1[3], x3[3], x2[3], x4[3]), COND_1366_0_MAIN_GE1(TRUE, x1[4], x3[4], x2[4], x4[4]) → 1454_1_MAIN_INVOKEMETHOD(1454_0_bubble_Load(x4[4]), x1[4], x2[4], x3[4]) which results in the following constraint:
(63)    (x2[0]=x1[3]∧0=x3[3]∧x0[0]=x2[3]∧<(x3[3], x2[3])=TRUE∧x1[3]=x1[4]∧x3[3]=x3[4]∧x2[3]=x2[4]∧x4[3]=x4[4] ⇒ 1366_0_MAIN_GE(x1[3], x3[3], x2[3])≥NonInfC∧1366_0_MAIN_GE(x1[3], x3[3], x2[3])≥COND_1366_0_MAIN_GE1(<(x3[3], x2[3]), x1[3], x3[3], x2[3], x4[3])∧(U^Increasing(COND_1366_0_MAIN_GE1(<(x3[3], x2[3]), x1[3], x3[3], x2[3], x4[3])), ≥))

We simplified constraint (63) using rules (III), (IV) which results in the following new constraint:
(64)    (<(0, x2[3])=TRUE ⇒ 1366_0_MAIN_GE(x2[0], 0, x2[3])≥NonInfC∧1366_0_MAIN_GE(x2[0], 0, x2[3])≥COND_1366_0_MAIN_GE1(<(0, x2[3]), x2[0], 0, x2[3], x4[3])∧(U^Increasing(COND_1366_0_MAIN_GE1(<(x3[3], x2[3]), x1[3], x3[3], x2[3], x4[3])), ≥))

We simplified constraint (64) using rule (POLY_CONSTRAINTS) which results in the following new constraint:
(65)    (x2[3] + [-1] ≥ 0 ⇒ (U^Increasing(COND_1366_0_MAIN_GE1(<(x3[3], x2[3]), x1[3], x3[3], x2[3], x4[3])), ≥)∧[(-1)bni_63 + (-1)Bound*bni_63] + [(-1)bni_63]x2[0] ≥ 0∧[(-1)bso_64] ≥ 0)

We simplified constraint (65) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:
(66)    (x2[3] + [-1] ≥ 0 ⇒ (U^Increasing(COND_1366_0_MAIN_GE1(<(x3[3], x2[3]), x1[3], x3[3], x2[3], x4[3])), ≥)∧[(-1)bni_63 + (-1)Bound*bni_63] + [(-1)bni_63]x2[0] ≥ 0∧[(-1)bso_64] ≥ 0)

We simplified constraint (66) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:
(67)    (x2[3] + [-1] ≥ 0 ⇒ (U^Increasing(COND_1366_0_MAIN_GE1(<(x3[3], x2[3]), x1[3], x3[3], x2[3], x4[3])), ≥)∧[(-1)bni_63 + (-1)Bound*bni_63] + [(-1)bni_63]x2[0] ≥ 0∧[(-1)bso_64] ≥ 0)

We simplified constraint (67) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:
(68)    (x2[3] + [-1] ≥ 0 ⇒ (U^Increasing(COND_1366_0_MAIN_GE1(<(x3[3], x2[3]), x1[3], x3[3], x2[3], x4[3])), ≥)∧[(-1)bni_63] = 0∧[(-1)bni_63 + (-1)Bound*bni_63] ≥ 0∧0 = 0∧0 = 0∧[(-1)bso_64] ≥ 0)

We simplified constraint (68) using rule (IDP_SMT_SPLIT) which results in the following new constraint:
(69)    (x2[3] ≥ 0 ⇒ (U^Increasing(COND_1366_0_MAIN_GE1(<(x3[3], x2[3]), x1[3], x3[3], x2[3], x4[3])), ≥)∧[(-1)bni_63] = 0∧[(-1)bni_63 + (-1)Bound*bni_63] ≥ 0∧0 = 0∧0 = 0∧[(-1)bso_64] ≥ 0)
We consider the chain COND_1454_1_MAIN_INVOKEMETHOD(TRUE, List, x1[6], x2[6], x3[6]) → 1366_0_MAIN_GE(x1[6], +(x3[6], 1), x2[6]), 1366_0_MAIN_GE(x1[3], x3[3], x2[3]) → COND_1366_0_MAIN_GE1(<(x3[3], x2[3]), x1[3], x3[3], x2[3], x4[3]), COND_1366_0_MAIN_GE1(TRUE, x1[4], x3[4], x2[4], x4[4]) → 1454_1_MAIN_INVOKEMETHOD(1454_0_bubble_Load(x4[4]), x1[4], x2[4], x3[4]) which results in the following constraint:
(70)    (x1[6]=x1[3]∧+(x3[6], 1)=x3[3]∧x2[6]=x2[3]∧<(x3[3], x2[3])=TRUE∧x1[3]=x1[4]∧x3[3]=x3[4]∧x2[3]=x2[4]∧x4[3]=x4[4] ⇒ 1366_0_MAIN_GE(x1[3], x3[3], x2[3])≥NonInfC∧1366_0_MAIN_GE(x1[3], x3[3], x2[3])≥COND_1366_0_MAIN_GE1(<(x3[3], x2[3]), x1[3], x3[3], x2[3], x4[3])∧(U^Increasing(COND_1366_0_MAIN_GE1(<(x3[3], x2[3]), x1[3], x3[3], x2[3], x4[3])), ≥))

We simplified constraint (70) using rules (III), (IV) which results in the following new constraint:
(71)    (<(+(x3[6], 1), x2[3])=TRUE ⇒ 1366_0_MAIN_GE(x1[6], +(x3[6], 1), x2[3])≥NonInfC∧1366_0_MAIN_GE(x1[6], +(x3[6], 1), x2[3])≥COND_1366_0_MAIN_GE1(<(+(x3[6], 1), x2[3]), x1[6], +(x3[6], 1), x2[3], x4[3])∧(U^Increasing(COND_1366_0_MAIN_GE1(<(x3[3], x2[3]), x1[3], x3[3], x2[3], x4[3])), ≥))

We simplified constraint (71) using rule (POLY_CONSTRAINTS) which results in the following new constraint:
(72)    (x2[3] + [-2] + [-1]x3[6] ≥ 0 ⇒ (U^Increasing(COND_1366_0_MAIN_GE1(<(x3[3], x2[3]), x1[3], x3[3], x2[3], x4[3])), ≥)∧[(-1)bni_63 + (-1)Bound*bni_63] + [(-1)bni_63]x1[6] ≥ 0∧[(-1)bso_64] ≥ 0)

We simplified constraint (72) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:
(73)    (x2[3] + [-2] + [-1]x3[6] ≥ 0 ⇒ (U^Increasing(COND_1366_0_MAIN_GE1(<(x3[3], x2[3]), x1[3], x3[3], x2[3], x4[3])), ≥)∧[(-1)bni_63 + (-1)Bound*bni_63] + [(-1)bni_63]x1[6] ≥ 0∧[(-1)bso_64] ≥ 0)

We simplified constraint (73) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:
(74)    (x2[3] + [-2] + [-1]x3[6] ≥ 0 ⇒ (U^Increasing(COND_1366_0_MAIN_GE1(<(x3[3], x2[3]), x1[3], x3[3], x2[3], x4[3])), ≥)∧[(-1)bni_63 + (-1)Bound*bni_63] + [(-1)bni_63]x1[6] ≥ 0∧[(-1)bso_64] ≥ 0)

We simplified constraint (74) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:
(75)    (x2[3] + [-2] + [-1]x3[6] ≥ 0 ⇒ (U^Increasing(COND_1366_0_MAIN_GE1(<(x3[3], x2[3]), x1[3], x3[3], x2[3], x4[3])), ≥)∧[(-1)bni_63] = 0∧[(-1)bni_63 + (-1)Bound*bni_63] ≥ 0∧0 = 0∧0 = 0∧[(-1)bso_64] ≥ 0)

We simplified constraint (75) using rule (IDP_SMT_SPLIT) which results in the following new constraint:
(76)    (x2[3] ≥ 0 ⇒ (U^Increasing(COND_1366_0_MAIN_GE1(<(x3[3], x2[3]), x1[3], x3[3], x2[3], x4[3])), ≥)∧[(-1)bni_63] = 0∧[(-1)bni_63 + (-1)Bound*bni_63] ≥ 0∧0 = 0∧0 = 0∧[(-1)bso_64] ≥ 0)

We simplified constraint (76) using rule (IDP_SMT_SPLIT) which results in the following new constraints:
(77)    (x2[3] ≥ 0∧x3[6] ≥ 0 ⇒ (U^Increasing(COND_1366_0_MAIN_GE1(<(x3[3], x2[3]), x1[3], x3[3], x2[3], x4[3])), ≥)∧[(-1)bni_63] = 0∧[(-1)bni_63 + (-1)Bound*bni_63] ≥ 0∧0 = 0∧0 = 0∧[(-1)bso_64] ≥ 0)

(78)    (x2[3] ≥ 0∧x3[6] ≥ 0 ⇒ (U^Increasing(COND_1366_0_MAIN_GE1(<(x3[3], x2[3]), x1[3], x3[3], x2[3], x4[3])), ≥)∧[(-1)bni_63] = 0∧[(-1)bni_63 + (-1)Bound*bni_63] ≥ 0∧0 = 0∧0 = 0∧[(-1)bso_64] ≥ 0)

For Pair COND_1366_0_MAIN_GE1(TRUE, x1, x3, x2, x4) → 1454_1_MAIN_INVOKEMETHOD(1454_0_bubble_Load(x4), x1, x2, x3) the following chains were created:

We consider the chain 1366_0_MAIN_GE(x1[3], x3[3], x2[3]) → COND_1366_0_MAIN_GE1(<(x3[3], x2[3]), x1[3], x3[3], x2[3], x4[3]), COND_1366_0_MAIN_GE1(TRUE, x1[4], x3[4], x2[4], x4[4]) → 1454_1_MAIN_INVOKEMETHOD(1454_0_bubble_Load(x4[4]), x1[4], x2[4], x3[4]), 1454_1_MAIN_INVOKEMETHOD(List, x1[5], x2[5], x3[5]) → COND_1454_1_MAIN_INVOKEMETHOD(>(x3[5], -1), List, x1[5], x2[5], x3[5]) which results in the following constraint:
(79)    (<(x3[3], x2[3])=TRUE∧x1[3]=x1[4]∧x3[3]=x3[4]∧x2[3]=x2[4]∧x4[3]=x4[4]∧1454_0_bubble_Load(x4[4])=List∧x1[4]=x1[5]∧x2[4]=x2[5]∧x3[4]=x3[5] ⇒ COND_1366_0_MAIN_GE1(TRUE, x1[4], x3[4], x2[4], x4[4])≥NonInfC∧COND_1366_0_MAIN_GE1(TRUE, x1[4], x3[4], x2[4], x4[4])≥1454_1_MAIN_INVOKEMETHOD(1454_0_bubble_Load(x4[4]), x1[4], x2[4], x3[4])∧(U^Increasing(1454_1_MAIN_INVOKEMETHOD(1454_0_bubble_Load(x4[4]), x1[4], x2[4], x3[4])), ≥))

We simplified constraint (79) using rules (III), (IV) which results in the following new constraint:
(80)    (<(x3[3], x2[3])=TRUE∧1454_0_bubble_Load(x4[4])=List ⇒ COND_1366_0_MAIN_GE1(TRUE, x1[3], x3[3], x2[3], x4[4])≥NonInfC∧COND_1366_0_MAIN_GE1(TRUE, x1[3], x3[3], x2[3], x4[4])≥1454_1_MAIN_INVOKEMETHOD(1454_0_bubble_Load(x4[4]), x1[3], x2[3], x3[3])∧(U^Increasing(1454_1_MAIN_INVOKEMETHOD(1454_0_bubble_Load(x4[4]), x1[4], x2[4], x3[4])), ≥))

We simplified constraint (80) using rule (V) (with possible (I) afterwards) using induction on 1454_0_bubble_Load(x4[4])=List which results in the following new constraint:
(81)    (1629_0_bubble_NULL(x18)=List∧<(x3[3], x2[3])=TRUE ⇒ COND_1366_0_MAIN_GE1(TRUE, x1[3], x3[3], x2[3], x18)≥NonInfC∧COND_1366_0_MAIN_GE1(TRUE, x1[3], x3[3], x2[3], x18)≥1454_1_MAIN_INVOKEMETHOD(1454_0_bubble_Load(x18), x1[3], x2[3], x3[3])∧(U^Increasing(1454_1_MAIN_INVOKEMETHOD(1454_0_bubble_Load(x4[4]), x1[4], x2[4], x3[4])), ≥))

We simplified constraint (81) using rule (POLY_CONSTRAINTS) which results in the following new constraint:
(82)    (x2[3] + [-1] + [-1]x3[3] ≥ 0 ⇒ (U^Increasing(1454_1_MAIN_INVOKEMETHOD(1454_0_bubble_Load(x4[4]), x1[4], x2[4], x3[4])), ≥)∧[(-1)bni_65 + (-1)Bound*bni_65] + [(-1)bni_65]x1[3] ≥ 0∧[(-1)bso_66] ≥ 0)

We simplified constraint (82) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:
(83)    (x2[3] + [-1] + [-1]x3[3] ≥ 0 ⇒ (U^Increasing(1454_1_MAIN_INVOKEMETHOD(1454_0_bubble_Load(x4[4]), x1[4], x2[4], x3[4])), ≥)∧[(-1)bni_65 + (-1)Bound*bni_65] + [(-1)bni_65]x1[3] ≥ 0∧[(-1)bso_66] ≥ 0)

We simplified constraint (83) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:
(84)    (x2[3] + [-1] + [-1]x3[3] ≥ 0 ⇒ (U^Increasing(1454_1_MAIN_INVOKEMETHOD(1454_0_bubble_Load(x4[4]), x1[4], x2[4], x3[4])), ≥)∧[(-1)bni_65 + (-1)Bound*bni_65] + [(-1)bni_65]x1[3] ≥ 0∧[(-1)bso_66] ≥ 0)

We simplified constraint (84) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:
(85)    (x2[3] + [-1] + [-1]x3[3] ≥ 0 ⇒ (U^Increasing(1454_1_MAIN_INVOKEMETHOD(1454_0_bubble_Load(x4[4]), x1[4], x2[4], x3[4])), ≥)∧0 = 0∧[(-1)bni_65] = 0∧[(-1)bni_65 + (-1)Bound*bni_65] ≥ 0∧0 = 0∧0 = 0∧[(-1)bso_66] ≥ 0)

We simplified constraint (85) using rule (IDP_SMT_SPLIT) which results in the following new constraint:
(86)    (x2[3] ≥ 0 ⇒ (U^Increasing(1454_1_MAIN_INVOKEMETHOD(1454_0_bubble_Load(x4[4]), x1[4], x2[4], x3[4])), ≥)∧0 = 0∧[(-1)bni_65] = 0∧[(-1)bni_65 + (-1)Bound*bni_65] ≥ 0∧0 = 0∧0 = 0∧[(-1)bso_66] ≥ 0)

We simplified constraint (86) using rule (IDP_SMT_SPLIT) which results in the following new constraints:
(87)    (x2[3] ≥ 0∧x3[3] ≥ 0 ⇒ (U^Increasing(1454_1_MAIN_INVOKEMETHOD(1454_0_bubble_Load(x4[4]), x1[4], x2[4], x3[4])), ≥)∧0 = 0∧[(-1)bni_65] = 0∧[(-1)bni_65 + (-1)Bound*bni_65] ≥ 0∧0 = 0∧0 = 0∧[(-1)bso_66] ≥ 0)

(88)    (x2[3] ≥ 0∧x3[3] ≥ 0 ⇒ (U^Increasing(1454_1_MAIN_INVOKEMETHOD(1454_0_bubble_Load(x4[4]), x1[4], x2[4], x3[4])), ≥)∧0 = 0∧[(-1)bni_65] = 0∧[(-1)bni_65 + (-1)Bound*bni_65] ≥ 0∧0 = 0∧0 = 0∧[(-1)bso_66] ≥ 0)

For Pair 1454_1_MAIN_INVOKEMETHOD(List, x1, x2, x3) → COND_1454_1_MAIN_INVOKEMETHOD(>(x3, -1), List, x1, x2, x3) the following chains were created:

We consider the chain 1454_1_MAIN_INVOKEMETHOD(List, x1[5], x2[5], x3[5]) → COND_1454_1_MAIN_INVOKEMETHOD(>(x3[5], -1), List, x1[5], x2[5], x3[5]), COND_1454_1_MAIN_INVOKEMETHOD(TRUE, List, x1[6], x2[6], x3[6]) → 1366_0_MAIN_GE(x1[6], +(x3[6], 1), x2[6]) which results in the following constraint:
(89)    (>(x3[5], -1)=TRUE∧x1[5]=x1[6]∧x2[5]=x2[6]∧x3[5]=x3[6] ⇒ 1454_1_MAIN_INVOKEMETHOD(List, x1[5], x2[5], x3[5])≥NonInfC∧1454_1_MAIN_INVOKEMETHOD(List, x1[5], x2[5], x3[5])≥COND_1454_1_MAIN_INVOKEMETHOD(>(x3[5], -1), List, x1[5], x2[5], x3[5])∧(U^Increasing(COND_1454_1_MAIN_INVOKEMETHOD(>(x3[5], -1), List, x1[5], x2[5], x3[5])), ≥))

We simplified constraint (89) using rule (IV) which results in the following new constraint:
(90)    (>(x3[5], -1)=TRUE ⇒ 1454_1_MAIN_INVOKEMETHOD(List, x1[5], x2[5], x3[5])≥NonInfC∧1454_1_MAIN_INVOKEMETHOD(List, x1[5], x2[5], x3[5])≥COND_1454_1_MAIN_INVOKEMETHOD(>(x3[5], -1), List, x1[5], x2[5], x3[5])∧(U^Increasing(COND_1454_1_MAIN_INVOKEMETHOD(>(x3[5], -1), List, x1[5], x2[5], x3[5])), ≥))

We simplified constraint (90) using rule (POLY_CONSTRAINTS) which results in the following new constraint:
(91)    (x3[5] ≥ 0 ⇒ (U^Increasing(COND_1454_1_MAIN_INVOKEMETHOD(>(x3[5], -1), List, x1[5], x2[5], x3[5])), ≥)∧[(-1)bni_67 + (-1)Bound*bni_67] + [(-1)bni_67]x1[5] ≥ 0∧[(-1)bso_68] ≥ 0)

We simplified constraint (91) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:
(92)    (x3[5] ≥ 0 ⇒ (U^Increasing(COND_1454_1_MAIN_INVOKEMETHOD(>(x3[5], -1), List, x1[5], x2[5], x3[5])), ≥)∧[(-1)bni_67 + (-1)Bound*bni_67] + [(-1)bni_67]x1[5] ≥ 0∧[(-1)bso_68] ≥ 0)

We simplified constraint (92) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:
(93)    (x3[5] ≥ 0 ⇒ (U^Increasing(COND_1454_1_MAIN_INVOKEMETHOD(>(x3[5], -1), List, x1[5], x2[5], x3[5])), ≥)∧[(-1)bni_67 + (-1)Bound*bni_67] + [(-1)bni_67]x1[5] ≥ 0∧[(-1)bso_68] ≥ 0)

We simplified constraint (93) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:
(94)    (x3[5] ≥ 0 ⇒ (U^Increasing(COND_1454_1_MAIN_INVOKEMETHOD(>(x3[5], -1), List, x1[5], x2[5], x3[5])), ≥)∧0 = 0∧[(-1)bni_67] = 0∧[(-1)bni_67 + (-1)Bound*bni_67] ≥ 0∧0 = 0∧0 = 0∧[(-1)bso_68] ≥ 0)

For Pair COND_1454_1_MAIN_INVOKEMETHOD(TRUE, List, x1, x2, x3) → 1366_0_MAIN_GE(x1, +(x3, 1), x2) the following chains were created:

We consider the chain 1454_1_MAIN_INVOKEMETHOD(List, x1[5], x2[5], x3[5]) → COND_1454_1_MAIN_INVOKEMETHOD(>(x3[5], -1), List, x1[5], x2[5], x3[5]), COND_1454_1_MAIN_INVOKEMETHOD(TRUE, List, x1[6], x2[6], x3[6]) → 1366_0_MAIN_GE(x1[6], +(x3[6], 1), x2[6]), 1366_0_MAIN_GE(x1[1], x3[1], x2[1]) → COND_1366_0_MAIN_GE(&&(&&(>=(x3[1], x2[1]), >(x1[1], -1)), <(x1[1], 2)), x1[1], x3[1], x2[1], x4[1]) which results in the following constraint:
(95)    (>(x3[5], -1)=TRUE∧x1[5]=x1[6]∧x2[5]=x2[6]∧x3[5]=x3[6]∧x1[6]=x1[1]∧+(x3[6], 1)=x3[1]∧x2[6]=x2[1] ⇒ COND_1454_1_MAIN_INVOKEMETHOD(TRUE, List, x1[6], x2[6], x3[6])≥NonInfC∧COND_1454_1_MAIN_INVOKEMETHOD(TRUE, List, x1[6], x2[6], x3[6])≥1366_0_MAIN_GE(x1[6], +(x3[6], 1), x2[6])∧(U^Increasing(1366_0_MAIN_GE(x1[6], +(x3[6], 1), x2[6])), ≥))

We simplified constraint (95) using rules (III), (IV) which results in the following new constraint:
(96)    (>(x3[5], -1)=TRUE ⇒ COND_1454_1_MAIN_INVOKEMETHOD(TRUE, List, x1[5], x2[5], x3[5])≥NonInfC∧COND_1454_1_MAIN_INVOKEMETHOD(TRUE, List, x1[5], x2[5], x3[5])≥1366_0_MAIN_GE(x1[5], +(x3[5], 1), x2[5])∧(U^Increasing(1366_0_MAIN_GE(x1[6], +(x3[6], 1), x2[6])), ≥))

We simplified constraint (96) using rule (POLY_CONSTRAINTS) which results in the following new constraint:
(97)    (x3[5] ≥ 0 ⇒ (U^Increasing(1366_0_MAIN_GE(x1[6], +(x3[6], 1), x2[6])), ≥)∧[(-1)bni_69 + (-1)Bound*bni_69] + [(-1)bni_69]x1[5] ≥ 0∧[(-1)bso_70] ≥ 0)

We simplified constraint (97) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:
(98)    (x3[5] ≥ 0 ⇒ (U^Increasing(1366_0_MAIN_GE(x1[6], +(x3[6], 1), x2[6])), ≥)∧[(-1)bni_69 + (-1)Bound*bni_69] + [(-1)bni_69]x1[5] ≥ 0∧[(-1)bso_70] ≥ 0)

We simplified constraint (98) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:
(99)    (x3[5] ≥ 0 ⇒ (U^Increasing(1366_0_MAIN_GE(x1[6], +(x3[6], 1), x2[6])), ≥)∧[(-1)bni_69 + (-1)Bound*bni_69] + [(-1)bni_69]x1[5] ≥ 0∧[(-1)bso_70] ≥ 0)

We simplified constraint (99) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:
(100)    (x3[5] ≥ 0 ⇒ (U^Increasing(1366_0_MAIN_GE(x1[6], +(x3[6], 1), x2[6])), ≥)∧0 = 0∧[(-1)bni_69] = 0∧[(-1)bni_69 + (-1)Bound*bni_69] ≥ 0∧0 = 0∧0 = 0∧[(-1)bso_70] ≥ 0)
We consider the chain 1454_1_MAIN_INVOKEMETHOD(List, x1[5], x2[5], x3[5]) → COND_1454_1_MAIN_INVOKEMETHOD(>(x3[5], -1), List, x1[5], x2[5], x3[5]), COND_1454_1_MAIN_INVOKEMETHOD(TRUE, List, x1[6], x2[6], x3[6]) → 1366_0_MAIN_GE(x1[6], +(x3[6], 1), x2[6]), 1366_0_MAIN_GE(x1[3], x3[3], x2[3]) → COND_1366_0_MAIN_GE1(<(x3[3], x2[3]), x1[3], x3[3], x2[3], x4[3]) which results in the following constraint:
(101)    (>(x3[5], -1)=TRUE∧x1[5]=x1[6]∧x2[5]=x2[6]∧x3[5]=x3[6]∧x1[6]=x1[3]∧+(x3[6], 1)=x3[3]∧x2[6]=x2[3] ⇒ COND_1454_1_MAIN_INVOKEMETHOD(TRUE, List, x1[6], x2[6], x3[6])≥NonInfC∧COND_1454_1_MAIN_INVOKEMETHOD(TRUE, List, x1[6], x2[6], x3[6])≥1366_0_MAIN_GE(x1[6], +(x3[6], 1), x2[6])∧(U^Increasing(1366_0_MAIN_GE(x1[6], +(x3[6], 1), x2[6])), ≥))

We simplified constraint (101) using rules (III), (IV) which results in the following new constraint:
(102)    (>(x3[5], -1)=TRUE ⇒ COND_1454_1_MAIN_INVOKEMETHOD(TRUE, List, x1[5], x2[5], x3[5])≥NonInfC∧COND_1454_1_MAIN_INVOKEMETHOD(TRUE, List, x1[5], x2[5], x3[5])≥1366_0_MAIN_GE(x1[5], +(x3[5], 1), x2[5])∧(U^Increasing(1366_0_MAIN_GE(x1[6], +(x3[6], 1), x2[6])), ≥))

We simplified constraint (102) using rule (POLY_CONSTRAINTS) which results in the following new constraint:
(103)    (x3[5] ≥ 0 ⇒ (U^Increasing(1366_0_MAIN_GE(x1[6], +(x3[6], 1), x2[6])), ≥)∧[(-1)bni_69 + (-1)Bound*bni_69] + [(-1)bni_69]x1[5] ≥ 0∧[(-1)bso_70] ≥ 0)

We simplified constraint (103) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:
(104)    (x3[5] ≥ 0 ⇒ (U^Increasing(1366_0_MAIN_GE(x1[6], +(x3[6], 1), x2[6])), ≥)∧[(-1)bni_69 + (-1)Bound*bni_69] + [(-1)bni_69]x1[5] ≥ 0∧[(-1)bso_70] ≥ 0)

We simplified constraint (104) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:
(105)    (x3[5] ≥ 0 ⇒ (U^Increasing(1366_0_MAIN_GE(x1[6], +(x3[6], 1), x2[6])), ≥)∧[(-1)bni_69 + (-1)Bound*bni_69] + [(-1)bni_69]x1[5] ≥ 0∧[(-1)bso_70] ≥ 0)

We simplified constraint (105) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:
(106)    (x3[5] ≥ 0 ⇒ (U^Increasing(1366_0_MAIN_GE(x1[6], +(x3[6], 1), x2[6])), ≥)∧0 = 0∧[(-1)bni_69] = 0∧[(-1)bni_69 + (-1)Bound*bni_69] ≥ 0∧0 = 0∧0 = 0∧[(-1)bso_70] ≥ 0)

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

968_1_MAIN_INVOKEMETHOD(884_0_length_Return(x0), x2) → 1366_0_MAIN_GE(x2, 0, x0)
- ((U^Increasing(1366_0_MAIN_GE(x2[0], 0, x0[0])), ≥)∧[bni_57] = 0∧0 = 0∧[(-1)bso_58] ≥ 0)
- ((U^Increasing(1366_0_MAIN_GE(x2[0], 0, x0[0])), ≥)∧0 = 0∧0 = 0∧0 ≥ 0∧0 = 0∧0 = 0∧[(-1)bso_58] ≥ 0)
- ((U^Increasing(1366_0_MAIN_GE(x2[0], 0, x0[0])), ≥)∧[bni_57] = 0∧0 = 0∧[(-1)bso_58] ≥ 0)
- ((U^Increasing(1366_0_MAIN_GE(x2[0], 0, x0[0])), ≥)∧0 = 0∧0 = 0∧0 ≥ 0∧0 = 0∧0 = 0∧[(-1)bso_58] ≥ 0)
1366_0_MAIN_GE(x1, x3, x2) → COND_1366_0_MAIN_GE(&&(&&(>=(x3, x2), >(x1, -1)), <(x1, 2)), x1, x3, x2, x4)
- ([1] + [-1]x1[1] ≥ 0∧x2[1] ≥ 0∧x1[1] ≥ 0 ⇒ (U^Increasing(COND_1366_0_MAIN_GE(&&(&&(>=(x3[1], x2[1]), >(x1[1], -1)), <(x1[1], 2)), x1[1], x3[1], x2[1], x4[1])), ≥)∧[(-1)bni_59 + (-1)Bound*bni_59] + [(-1)bni_59]x1[1] ≥ 0∧0 = 0∧[(-1)bso_60] ≥ 0)
- ([1] + [-1]x1[1] ≥ 0∧x2[1] ≥ 0∧x1[1] ≥ 0∧x3[6] ≥ 0 ⇒ (U^Increasing(COND_1366_0_MAIN_GE(&&(&&(>=(x3[1], x2[1]), >(x1[1], -1)), <(x1[1], 2)), x1[1], x3[1], x2[1], x4[1])), ≥)∧[(-1)bni_59 + (-1)Bound*bni_59] + [(-1)bni_59]x1[1] ≥ 0∧0 = 0∧[(-1)bso_60] ≥ 0)
- ([1] + [-1]x1[1] ≥ 0∧x2[1] ≥ 0∧x1[1] ≥ 0∧x3[6] ≥ 0 ⇒ (U^Increasing(COND_1366_0_MAIN_GE(&&(&&(>=(x3[1], x2[1]), >(x1[1], -1)), <(x1[1], 2)), x1[1], x3[1], x2[1], x4[1])), ≥)∧[(-1)bni_59 + (-1)Bound*bni_59] + [(-1)bni_59]x1[1] ≥ 0∧0 = 0∧[(-1)bso_60] ≥ 0)
COND_1366_0_MAIN_GE(TRUE, x1, x3, x2, x4) → 968_1_MAIN_INVOKEMETHOD(968_0_length_ConstantStackPush(x4), +(x1, 1))
- ([1] + [-1]x1[1] ≥ 0∧x3[1] ≥ 0∧x1[1] ≥ 0∧x2[1] ≥ 0 ⇒ (U^Increasing(968_1_MAIN_INVOKEMETHOD(968_0_length_ConstantStackPush(x4[2]), +(x1[2], 1))), ≥)∧[(-1)bni_61 + (-1)Bound*bni_61] + [(-1)bni_61]x1[1] ≥ 0∧[1 + (-1)bso_62] ≥ 0)
- ([1] + [-1]x1[1] ≥ 0∧x3[1] ≥ 0∧x1[1] ≥ 0∧x2[1] ≥ 0 ⇒ (U^Increasing(968_1_MAIN_INVOKEMETHOD(968_0_length_ConstantStackPush(x4[2]), +(x1[2], 1))), ≥)∧[(-1)bni_61 + (-1)Bound*bni_61] + [(-1)bni_61]x1[1] ≥ 0∧[1 + (-1)bso_62] ≥ 0)
- ([1] + [-1]x1[1] ≥ 0∧x3[1] ≥ 0∧x1[1] ≥ 0∧x2[1] ≥ 0 ⇒ (U^Increasing(968_1_MAIN_INVOKEMETHOD(968_0_length_ConstantStackPush(x4[2]), +(x1[2], 1))), ≥)∧[(-1)bni_61 + (-1)Bound*bni_61] + [(-1)bni_61]x1[1] ≥ 0∧[1 + (-1)bso_62] ≥ 0)
- ([1] + [-1]x1[1] ≥ 0∧x3[1] ≥ 0∧x1[1] ≥ 0∧x2[1] ≥ 0 ⇒ (U^Increasing(968_1_MAIN_INVOKEMETHOD(968_0_length_ConstantStackPush(x4[2]), +(x1[2], 1))), ≥)∧[(-1)bni_61 + (-1)Bound*bni_61] + [(-1)bni_61]x1[1] ≥ 0∧[1 + (-1)bso_62] ≥ 0)
1366_0_MAIN_GE(x1, x3, x2) → COND_1366_0_MAIN_GE1(<(x3, x2), x1, x3, x2, x4)
- (x2[3] ≥ 0 ⇒ (U^Increasing(COND_1366_0_MAIN_GE1(<(x3[3], x2[3]), x1[3], x3[3], x2[3], x4[3])), ≥)∧[(-1)bni_63] = 0∧[(-1)bni_63 + (-1)Bound*bni_63] ≥ 0∧0 = 0∧0 = 0∧[(-1)bso_64] ≥ 0)
- (x2[3] ≥ 0∧x3[6] ≥ 0 ⇒ (U^Increasing(COND_1366_0_MAIN_GE1(<(x3[3], x2[3]), x1[3], x3[3], x2[3], x4[3])), ≥)∧[(-1)bni_63] = 0∧[(-1)bni_63 + (-1)Bound*bni_63] ≥ 0∧0 = 0∧0 = 0∧[(-1)bso_64] ≥ 0)
- (x2[3] ≥ 0∧x3[6] ≥ 0 ⇒ (U^Increasing(COND_1366_0_MAIN_GE1(<(x3[3], x2[3]), x1[3], x3[3], x2[3], x4[3])), ≥)∧[(-1)bni_63] = 0∧[(-1)bni_63 + (-1)Bound*bni_63] ≥ 0∧0 = 0∧0 = 0∧[(-1)bso_64] ≥ 0)
COND_1366_0_MAIN_GE1(TRUE, x1, x3, x2, x4) → 1454_1_MAIN_INVOKEMETHOD(1454_0_bubble_Load(x4), x1, x2, x3)
- (x2[3] ≥ 0∧x3[3] ≥ 0 ⇒ (U^Increasing(1454_1_MAIN_INVOKEMETHOD(1454_0_bubble_Load(x4[4]), x1[4], x2[4], x3[4])), ≥)∧0 = 0∧[(-1)bni_65] = 0∧[(-1)bni_65 + (-1)Bound*bni_65] ≥ 0∧0 = 0∧0 = 0∧[(-1)bso_66] ≥ 0)
- (x2[3] ≥ 0∧x3[3] ≥ 0 ⇒ (U^Increasing(1454_1_MAIN_INVOKEMETHOD(1454_0_bubble_Load(x4[4]), x1[4], x2[4], x3[4])), ≥)∧0 = 0∧[(-1)bni_65] = 0∧[(-1)bni_65 + (-1)Bound*bni_65] ≥ 0∧0 = 0∧0 = 0∧[(-1)bso_66] ≥ 0)
1454_1_MAIN_INVOKEMETHOD(List, x1, x2, x3) → COND_1454_1_MAIN_INVOKEMETHOD(>(x3, -1), List, x1, x2, x3)
- (x3[5] ≥ 0 ⇒ (U^Increasing(COND_1454_1_MAIN_INVOKEMETHOD(>(x3[5], -1), List, x1[5], x2[5], x3[5])), ≥)∧0 = 0∧[(-1)bni_67] = 0∧[(-1)bni_67 + (-1)Bound*bni_67] ≥ 0∧0 = 0∧0 = 0∧[(-1)bso_68] ≥ 0)
COND_1454_1_MAIN_INVOKEMETHOD(TRUE, List, x1, x2, x3) → 1366_0_MAIN_GE(x1, +(x3, 1), x2)
- (x3[5] ≥ 0 ⇒ (U^Increasing(1366_0_MAIN_GE(x1[6], +(x3[6], 1), x2[6])), ≥)∧0 = 0∧[(-1)bni_69] = 0∧[(-1)bni_69 + (-1)Bound*bni_69] ≥ 0∧0 = 0∧0 = 0∧[(-1)bso_70] ≥ 0)
- (x3[5] ≥ 0 ⇒ (U^Increasing(1366_0_MAIN_GE(x1[6], +(x3[6], 1), x2[6])), ≥)∧0 = 0∧[(-1)bni_69] = 0∧[(-1)bni_69 + (-1)Bound*bni_69] ≥ 0∧0 = 0∧0 = 0∧[(-1)bso_70] ≥ 0)

POL(TRUE) = 0
POL(FALSE) = [1]
POL(968_0_length_ConstantStackPush(x₁)) = [-1] + [-1]x₁
POL(874_0_length_NULL(x₁, x₂)) = [-1] + [-1]x₂
POL(0) = 0
POL(NULL) = [-1]
POL(884_0_length_Return(x₁)) = [-1] + [-1]x₁
POL(java.lang.Object(x₁)) = [-1] + [-1]x₁
POL(List) = [-1]
POL(Cond_874_0_length_NULL(x₁, x₂, x₃, x₄)) = [-1] + [2]x₄ + [-1]x₃ + x₂
POL(>(x₁, x₂)) = [-1]
POL(-1) = [-1]
POL(+(x₁, x₂)) = x₁ + x₂
POL(1) = [1]
POL(1454_0_bubble_Load(x₁)) = 0
POL(1629_0_bubble_NULL(x₁)) = [-1] + [-1]x₁
POL(968_1_MAIN_INVOKEMETHOD(x₁, x₂)) = [-1] + [-1]x₂
POL(1366_0_MAIN_GE(x₁, x₂, x₃)) = [-1] + [-1]x₁
POL(COND_1366_0_MAIN_GE(x₁, x₂, x₃, x₄, x₅)) = [-1] + [-1]x₂
POL(&&(x₁, x₂)) = [-1]
POL(>=(x₁, x₂)) = [-1]
POL(<(x₁, x₂)) = [-1]
POL(2) = [2]
POL(COND_1366_0_MAIN_GE1(x₁, x₂, x₃, x₄, x₅)) = [-1] + [-1]x₂
POL(1454_1_MAIN_INVOKEMETHOD(x₁, x₂, x₃, x₄)) = [-1] + [-1]x₂
POL(COND_1454_1_MAIN_INVOKEMETHOD(x₁, x₂, x₃, x₄, x₅)) = [-1] + [-1]x₃

The following pairs are in P_>:

COND_1366_0_MAIN_GE(TRUE, x1[2], x3[2], x2[2], x4[2]) → 968_1_MAIN_INVOKEMETHOD(968_0_length_ConstantStackPush(x4[2]), +(x1[2], 1))

The following pairs are in P_bound:

1366_0_MAIN_GE(x1[1], x3[1], x2[1]) → COND_1366_0_MAIN_GE(&&(&&(>=(x3[1], x2[1]), >(x1[1], -1)), <(x1[1], 2)), x1[1], x3[1], x2[1], x4[1])
COND_1366_0_MAIN_GE(TRUE, x1[2], x3[2], x2[2], x4[2]) → 968_1_MAIN_INVOKEMETHOD(968_0_length_ConstantStackPush(x4[2]), +(x1[2], 1))

The following pairs are in P_≥:

968_1_MAIN_INVOKEMETHOD(884_0_length_Return(x0[0]), x2[0]) → 1366_0_MAIN_GE(x2[0], 0, x0[0])
1366_0_MAIN_GE(x1[1], x3[1], x2[1]) → COND_1366_0_MAIN_GE(&&(&&(>=(x3[1], x2[1]), >(x1[1], -1)), <(x1[1], 2)), x1[1], x3[1], x2[1], x4[1])
1366_0_MAIN_GE(x1[3], x3[3], x2[3]) → COND_1366_0_MAIN_GE1(<(x3[3], x2[3]), x1[3], x3[3], x2[3], x4[3])
COND_1366_0_MAIN_GE1(TRUE, x1[4], x3[4], x2[4], x4[4]) → 1454_1_MAIN_INVOKEMETHOD(1454_0_bubble_Load(x4[4]), x1[4], x2[4], x3[4])
1454_1_MAIN_INVOKEMETHOD(List, x1[5], x2[5], x3[5]) → COND_1454_1_MAIN_INVOKEMETHOD(>(x3[5], -1), List, x1[5], x2[5], x3[5])
COND_1454_1_MAIN_INVOKEMETHOD(TRUE, List, x1[6], x2[6], x3[6]) → 1366_0_MAIN_GE(x1[6], +(x3[6], 1), x2[6])

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

FALSE¹ → &&(FALSE, TRUE)¹
FALSE¹ → &&(FALSE, FALSE)¹
List¹ → 1629_0_bubble_NULL(java.lang.Object(List))¹

(34) Obligation:

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

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

The following domains are used:

Integer, Boolean

The ITRS R consists of the following rules:
968_0_length_ConstantStackPush(x0) → 874_0_length_NULL(0, x0)
874_0_length_NULL(x0, NULL) → 884_0_length_Return(x0)
874_0_length_NULL(x0, java.lang.Object(List)) → Cond_874_0_length_NULL(x0 > -1, x0, java.lang.Object(List), x1)
Cond_874_0_length_NULL(TRUE, x0, java.lang.Object(List), x1) → 874_0_length_NULL(x0 + 1, x1)
1454_0_bubble_Load(x0) → 1629_0_bubble_NULL(x0)
1629_0_bubble_NULL(NULL) → List
1629_0_bubble_NULL(java.lang.Object(List)) → List
1629_0_bubble_NULL(java.lang.Object(List)) → 1629_0_bubble_NULL(java.lang.Object(List))

The integer pair graph contains the following rules and edges:
(0): 968_1_MAIN_INVOKEMETHOD(884_0_length_Return(x0[0]), x2[0]) → 1366_0_MAIN_GE(x2[0], 0, x0[0])
(1): 1366_0_MAIN_GE(x1[1], x3[1], x2[1]) → COND_1366_0_MAIN_GE(x3[1] >= x2[1] && x1[1] > -1 && x1[1] < 2, x1[1], x3[1], x2[1], x4[1])
(3): 1366_0_MAIN_GE(x1[3], x3[3], x2[3]) → COND_1366_0_MAIN_GE1(x3[3] < x2[3], x1[3], x3[3], x2[3], x4[3])
(4): COND_1366_0_MAIN_GE1(TRUE, x1[4], x3[4], x2[4], x4[4]) → 1454_1_MAIN_INVOKEMETHOD(1454_0_bubble_Load(x4[4]), x1[4], x2[4], x3[4])
(5): 1454_1_MAIN_INVOKEMETHOD(List, x1[5], x2[5], x3[5]) → COND_1454_1_MAIN_INVOKEMETHOD(x3[5] > -1, List, x1[5], x2[5], x3[5])
(6): COND_1454_1_MAIN_INVOKEMETHOD(TRUE, List, x1[6], x2[6], x3[6]) → 1366_0_MAIN_GE(x1[6], x3[6] + 1, x2[6])

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

(6) -> (1), if (x1[6] →^* x1[1]∧x3[6] + 1 →^* x3[1]∧x2[6] →^* x2[1])

(0) -> (3), if (x2[0] →^* x1[3]∧0 →^* x3[3]∧x0[0] →^* x2[3])

(6) -> (3), if (x1[6] →^* x1[3]∧x3[6] + 1 →^* x3[3]∧x2[6] →^* x2[3])

(3) -> (4), if (x3[3] < x2[3] ∧x1[3] →^* x1[4]∧x3[3] →^* x3[4]∧x2[3] →^* x2[4]∧x4[3] →^* x4[4])

(4) -> (5), if (1454_0_bubble_Load(x4[4]) →^* List∧x1[4] →^* x1[5]∧x2[4] →^* x2[5]∧x3[4] →^* x3[5])

(5) -> (6), if (x3[5] > -1 ∧x1[5] →^* x1[6]∧x2[5] →^* x2[6]∧x3[5] →^* x3[6])

(35) IDependencyGraphProof (EQUIVALENT transformation)

The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 1 SCC with 2 less nodes.

(36) Obligation:

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

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

The following domains are used:

Integer

The ITRS R consists of the following rules:
968_0_length_ConstantStackPush(x0) → 874_0_length_NULL(0, x0)
874_0_length_NULL(x0, NULL) → 884_0_length_Return(x0)
874_0_length_NULL(x0, java.lang.Object(List)) → Cond_874_0_length_NULL(x0 > -1, x0, java.lang.Object(List), x1)
Cond_874_0_length_NULL(TRUE, x0, java.lang.Object(List), x1) → 874_0_length_NULL(x0 + 1, x1)
1454_0_bubble_Load(x0) → 1629_0_bubble_NULL(x0)
1629_0_bubble_NULL(NULL) → List
1629_0_bubble_NULL(java.lang.Object(List)) → List
1629_0_bubble_NULL(java.lang.Object(List)) → 1629_0_bubble_NULL(java.lang.Object(List))

The integer pair graph contains the following rules and edges:
(6): COND_1454_1_MAIN_INVOKEMETHOD(TRUE, List, x1[6], x2[6], x3[6]) → 1366_0_MAIN_GE(x1[6], x3[6] + 1, x2[6])
(5): 1454_1_MAIN_INVOKEMETHOD(List, x1[5], x2[5], x3[5]) → COND_1454_1_MAIN_INVOKEMETHOD(x3[5] > -1, List, x1[5], x2[5], x3[5])
(4): COND_1366_0_MAIN_GE1(TRUE, x1[4], x3[4], x2[4], x4[4]) → 1454_1_MAIN_INVOKEMETHOD(1454_0_bubble_Load(x4[4]), x1[4], x2[4], x3[4])
(3): 1366_0_MAIN_GE(x1[3], x3[3], x2[3]) → COND_1366_0_MAIN_GE1(x3[3] < x2[3], x1[3], x3[3], x2[3], x4[3])

(6) -> (3), if (x1[6] →^* x1[3]∧x3[6] + 1 →^* x3[3]∧x2[6] →^* x2[3])

(3) -> (4), if (x3[3] < x2[3] ∧x1[3] →^* x1[4]∧x3[3] →^* x3[4]∧x2[3] →^* x2[4]∧x4[3] →^* x4[4])

(4) -> (5), if (1454_0_bubble_Load(x4[4]) →^* List∧x1[4] →^* x1[5]∧x2[4] →^* x2[5]∧x3[4] →^* x3[5])

(5) -> (6), if (x3[5] > -1 ∧x1[5] →^* x1[6]∧x2[5] →^* x2[6]∧x3[5] →^* x3[6])

(37) UsableRulesProof (EQUIVALENT transformation)

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

(38) Obligation:

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

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

The following domains are used:

Integer

The ITRS R consists of the following rules:
1454_0_bubble_Load(x0) → 1629_0_bubble_NULL(x0)
1629_0_bubble_NULL(NULL) → List
1629_0_bubble_NULL(java.lang.Object(List)) → List
1629_0_bubble_NULL(java.lang.Object(List)) → 1629_0_bubble_NULL(java.lang.Object(List))

The integer pair graph contains the following rules and edges:
(6): COND_1454_1_MAIN_INVOKEMETHOD(TRUE, List, x1[6], x2[6], x3[6]) → 1366_0_MAIN_GE(x1[6], x3[6] + 1, x2[6])
(5): 1454_1_MAIN_INVOKEMETHOD(List, x1[5], x2[5], x3[5]) → COND_1454_1_MAIN_INVOKEMETHOD(x3[5] > -1, List, x1[5], x2[5], x3[5])
(4): COND_1366_0_MAIN_GE1(TRUE, x1[4], x3[4], x2[4], x4[4]) → 1454_1_MAIN_INVOKEMETHOD(1454_0_bubble_Load(x4[4]), x1[4], x2[4], x3[4])
(3): 1366_0_MAIN_GE(x1[3], x3[3], x2[3]) → COND_1366_0_MAIN_GE1(x3[3] < x2[3], x1[3], x3[3], x2[3], x4[3])

(6) -> (3), if (x1[6] →^* x1[3]∧x3[6] + 1 →^* x3[3]∧x2[6] →^* x2[3])

(3) -> (4), if (x3[3] < x2[3] ∧x1[3] →^* x1[4]∧x3[3] →^* x3[4]∧x2[3] →^* x2[4]∧x4[3] →^* x4[4])

(4) -> (5), if (1454_0_bubble_Load(x4[4]) →^* List∧x1[4] →^* x1[5]∧x2[4] →^* x2[5]∧x3[4] →^* x3[5])

(5) -> (6), if (x3[5] > -1 ∧x1[5] →^* x1[6]∧x2[5] →^* x2[6]∧x3[5] →^* x3[6])

(39) 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.IdpDefaultShapeHeuristic@19dd1f12 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 COND_1454_1_MAIN_INVOKEMETHOD(TRUE, List, x1[6], x2[6], x3[6]) → 1366_0_MAIN_GE(x1[6], +(x3[6], 1), x2[6]) the following chains were created:

We consider the chain 1454_1_MAIN_INVOKEMETHOD(List, x1[5], x2[5], x3[5]) → COND_1454_1_MAIN_INVOKEMETHOD(>(x3[5], -1), List, x1[5], x2[5], x3[5]), COND_1454_1_MAIN_INVOKEMETHOD(TRUE, List, x1[6], x2[6], x3[6]) → 1366_0_MAIN_GE(x1[6], +(x3[6], 1), x2[6]), 1366_0_MAIN_GE(x1[3], x3[3], x2[3]) → COND_1366_0_MAIN_GE1(<(x3[3], x2[3]), x1[3], x3[3], x2[3], x4[3]) which results in the following constraint:
(1)    (>(x3[5], -1)=TRUE∧x1[5]=x1[6]∧x2[5]=x2[6]∧x3[5]=x3[6]∧x1[6]=x1[3]∧+(x3[6], 1)=x3[3]∧x2[6]=x2[3] ⇒ COND_1454_1_MAIN_INVOKEMETHOD(TRUE, List, x1[6], x2[6], x3[6])≥NonInfC∧COND_1454_1_MAIN_INVOKEMETHOD(TRUE, List, x1[6], x2[6], x3[6])≥1366_0_MAIN_GE(x1[6], +(x3[6], 1), x2[6])∧(U^Increasing(1366_0_MAIN_GE(x1[6], +(x3[6], 1), x2[6])), ≥))

We simplified constraint (1) using rules (III), (IV) which results in the following new constraint:
(2)    (>(x3[5], -1)=TRUE ⇒ COND_1454_1_MAIN_INVOKEMETHOD(TRUE, List, x1[5], x2[5], x3[5])≥NonInfC∧COND_1454_1_MAIN_INVOKEMETHOD(TRUE, List, x1[5], x2[5], x3[5])≥1366_0_MAIN_GE(x1[5], +(x3[5], 1), x2[5])∧(U^Increasing(1366_0_MAIN_GE(x1[6], +(x3[6], 1), x2[6])), ≥))

We simplified constraint (2) using rule (POLY_CONSTRAINTS) which results in the following new constraint:
(3)    (x3[5] ≥ 0 ⇒ (U^Increasing(1366_0_MAIN_GE(x1[6], +(x3[6], 1), x2[6])), ≥)∧[(-1)bni_34 + (-1)Bound*bni_34] + [(-1)bni_34]x3[5] + [bni_34]x2[5] ≥ 0∧[1 + (-1)bso_35] ≥ 0)

We simplified constraint (3) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:
(4)    (x3[5] ≥ 0 ⇒ (U^Increasing(1366_0_MAIN_GE(x1[6], +(x3[6], 1), x2[6])), ≥)∧[(-1)bni_34 + (-1)Bound*bni_34] + [(-1)bni_34]x3[5] + [bni_34]x2[5] ≥ 0∧[1 + (-1)bso_35] ≥ 0)

We simplified constraint (4) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:
(5)    (x3[5] ≥ 0 ⇒ (U^Increasing(1366_0_MAIN_GE(x1[6], +(x3[6], 1), x2[6])), ≥)∧[(-1)bni_34 + (-1)Bound*bni_34] + [(-1)bni_34]x3[5] + [bni_34]x2[5] ≥ 0∧[1 + (-1)bso_35] ≥ 0)

We simplified constraint (5) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:
(6)    (x3[5] ≥ 0 ⇒ (U^Increasing(1366_0_MAIN_GE(x1[6], +(x3[6], 1), x2[6])), ≥)∧[bni_34] = 0∧0 = 0∧[(-1)bni_34 + (-1)Bound*bni_34] + [(-1)bni_34]x3[5] ≥ 0∧0 = 0∧0 = 0∧[1 + (-1)bso_35] ≥ 0)

For Pair 1454_1_MAIN_INVOKEMETHOD(List, x1[5], x2[5], x3[5]) → COND_1454_1_MAIN_INVOKEMETHOD(>(x3[5], -1), List, x1[5], x2[5], x3[5]) the following chains were created:

We consider the chain 1454_1_MAIN_INVOKEMETHOD(List, x1[5], x2[5], x3[5]) → COND_1454_1_MAIN_INVOKEMETHOD(>(x3[5], -1), List, x1[5], x2[5], x3[5]), COND_1454_1_MAIN_INVOKEMETHOD(TRUE, List, x1[6], x2[6], x3[6]) → 1366_0_MAIN_GE(x1[6], +(x3[6], 1), x2[6]) which results in the following constraint:
(7)    (>(x3[5], -1)=TRUE∧x1[5]=x1[6]∧x2[5]=x2[6]∧x3[5]=x3[6] ⇒ 1454_1_MAIN_INVOKEMETHOD(List, x1[5], x2[5], x3[5])≥NonInfC∧1454_1_MAIN_INVOKEMETHOD(List, x1[5], x2[5], x3[5])≥COND_1454_1_MAIN_INVOKEMETHOD(>(x3[5], -1), List, x1[5], x2[5], x3[5])∧(U^Increasing(COND_1454_1_MAIN_INVOKEMETHOD(>(x3[5], -1), List, x1[5], x2[5], x3[5])), ≥))

We simplified constraint (7) using rule (IV) which results in the following new constraint:
(8)    (>(x3[5], -1)=TRUE ⇒ 1454_1_MAIN_INVOKEMETHOD(List, x1[5], x2[5], x3[5])≥NonInfC∧1454_1_MAIN_INVOKEMETHOD(List, x1[5], x2[5], x3[5])≥COND_1454_1_MAIN_INVOKEMETHOD(>(x3[5], -1), List, x1[5], x2[5], x3[5])∧(U^Increasing(COND_1454_1_MAIN_INVOKEMETHOD(>(x3[5], -1), List, x1[5], x2[5], x3[5])), ≥))

We simplified constraint (8) using rule (POLY_CONSTRAINTS) which results in the following new constraint:
(9)    (x3[5] ≥ 0 ⇒ (U^Increasing(COND_1454_1_MAIN_INVOKEMETHOD(>(x3[5], -1), List, x1[5], x2[5], x3[5])), ≥)∧[(-1)bni_36 + (-1)Bound*bni_36] + [(-1)bni_36]x3[5] + [bni_36]x2[5] ≥ 0∧[(-1)bso_37] ≥ 0)

We simplified constraint (9) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:
(10)    (x3[5] ≥ 0 ⇒ (U^Increasing(COND_1454_1_MAIN_INVOKEMETHOD(>(x3[5], -1), List, x1[5], x2[5], x3[5])), ≥)∧[(-1)bni_36 + (-1)Bound*bni_36] + [(-1)bni_36]x3[5] + [bni_36]x2[5] ≥ 0∧[(-1)bso_37] ≥ 0)

We simplified constraint (10) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:
(11)    (x3[5] ≥ 0 ⇒ (U^Increasing(COND_1454_1_MAIN_INVOKEMETHOD(>(x3[5], -1), List, x1[5], x2[5], x3[5])), ≥)∧[(-1)bni_36 + (-1)Bound*bni_36] + [(-1)bni_36]x3[5] + [bni_36]x2[5] ≥ 0∧[(-1)bso_37] ≥ 0)

We simplified constraint (11) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:
(12)    (x3[5] ≥ 0 ⇒ (U^Increasing(COND_1454_1_MAIN_INVOKEMETHOD(>(x3[5], -1), List, x1[5], x2[5], x3[5])), ≥)∧[bni_36] = 0∧0 = 0∧[(-1)bni_36 + (-1)Bound*bni_36] + [(-1)bni_36]x3[5] ≥ 0∧0 = 0∧0 = 0∧[(-1)bso_37] ≥ 0)

For Pair COND_1366_0_MAIN_GE1(TRUE, x1[4], x3[4], x2[4], x4[4]) → 1454_1_MAIN_INVOKEMETHOD(1454_0_bubble_Load(x4[4]), x1[4], x2[4], x3[4]) the following chains were created:

We consider the chain 1366_0_MAIN_GE(x1[3], x3[3], x2[3]) → COND_1366_0_MAIN_GE1(<(x3[3], x2[3]), x1[3], x3[3], x2[3], x4[3]), COND_1366_0_MAIN_GE1(TRUE, x1[4], x3[4], x2[4], x4[4]) → 1454_1_MAIN_INVOKEMETHOD(1454_0_bubble_Load(x4[4]), x1[4], x2[4], x3[4]), 1454_1_MAIN_INVOKEMETHOD(List, x1[5], x2[5], x3[5]) → COND_1454_1_MAIN_INVOKEMETHOD(>(x3[5], -1), List, x1[5], x2[5], x3[5]) which results in the following constraint:
(13)    (<(x3[3], x2[3])=TRUE∧x1[3]=x1[4]∧x3[3]=x3[4]∧x2[3]=x2[4]∧x4[3]=x4[4]∧1454_0_bubble_Load(x4[4])=List∧x1[4]=x1[5]∧x2[4]=x2[5]∧x3[4]=x3[5] ⇒ COND_1366_0_MAIN_GE1(TRUE, x1[4], x3[4], x2[4], x4[4])≥NonInfC∧COND_1366_0_MAIN_GE1(TRUE, x1[4], x3[4], x2[4], x4[4])≥1454_1_MAIN_INVOKEMETHOD(1454_0_bubble_Load(x4[4]), x1[4], x2[4], x3[4])∧(U^Increasing(1454_1_MAIN_INVOKEMETHOD(1454_0_bubble_Load(x4[4]), x1[4], x2[4], x3[4])), ≥))

We simplified constraint (13) using rules (III), (IV) which results in the following new constraint:
(14)    (<(x3[3], x2[3])=TRUE∧1454_0_bubble_Load(x4[4])=List ⇒ COND_1366_0_MAIN_GE1(TRUE, x1[3], x3[3], x2[3], x4[4])≥NonInfC∧COND_1366_0_MAIN_GE1(TRUE, x1[3], x3[3], x2[3], x4[4])≥1454_1_MAIN_INVOKEMETHOD(1454_0_bubble_Load(x4[4]), x1[3], x2[3], x3[3])∧(U^Increasing(1454_1_MAIN_INVOKEMETHOD(1454_0_bubble_Load(x4[4]), x1[4], x2[4], x3[4])), ≥))

We simplified constraint (14) using rule (V) (with possible (I) afterwards) using induction on 1454_0_bubble_Load(x4[4])=List which results in the following new constraint:
(15)    (1629_0_bubble_NULL(x0)=List∧<(x3[3], x2[3])=TRUE ⇒ COND_1366_0_MAIN_GE1(TRUE, x1[3], x3[3], x2[3], x0)≥NonInfC∧COND_1366_0_MAIN_GE1(TRUE, x1[3], x3[3], x2[3], x0)≥1454_1_MAIN_INVOKEMETHOD(1454_0_bubble_Load(x0), x1[3], x2[3], x3[3])∧(U^Increasing(1454_1_MAIN_INVOKEMETHOD(1454_0_bubble_Load(x4[4]), x1[4], x2[4], x3[4])), ≥))

We simplified constraint (15) using rule (POLY_CONSTRAINTS) which results in the following new constraint:
(16)    (x2[3] + [-1] + [-1]x3[3] ≥ 0 ⇒ (U^Increasing(1454_1_MAIN_INVOKEMETHOD(1454_0_bubble_Load(x4[4]), x1[4], x2[4], x3[4])), ≥)∧[(-1)bni_38 + (-1)Bound*bni_38] + [bni_38]x2[3] + [(-1)bni_38]x3[3] ≥ 0∧[(-1)bso_39] ≥ 0)

We simplified constraint (16) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:
(17)    (x2[3] + [-1] + [-1]x3[3] ≥ 0 ⇒ (U^Increasing(1454_1_MAIN_INVOKEMETHOD(1454_0_bubble_Load(x4[4]), x1[4], x2[4], x3[4])), ≥)∧[(-1)bni_38 + (-1)Bound*bni_38] + [bni_38]x2[3] + [(-1)bni_38]x3[3] ≥ 0∧[(-1)bso_39] ≥ 0)

We simplified constraint (17) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:
(18)    (x2[3] + [-1] + [-1]x3[3] ≥ 0 ⇒ (U^Increasing(1454_1_MAIN_INVOKEMETHOD(1454_0_bubble_Load(x4[4]), x1[4], x2[4], x3[4])), ≥)∧[(-1)bni_38 + (-1)Bound*bni_38] + [bni_38]x2[3] + [(-1)bni_38]x3[3] ≥ 0∧[(-1)bso_39] ≥ 0)

We simplified constraint (18) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:
(19)    (x2[3] + [-1] + [-1]x3[3] ≥ 0 ⇒ (U^Increasing(1454_1_MAIN_INVOKEMETHOD(1454_0_bubble_Load(x4[4]), x1[4], x2[4], x3[4])), ≥)∧0 = 0∧0 = 0∧[(-1)bni_38 + (-1)Bound*bni_38] + [bni_38]x2[3] + [(-1)bni_38]x3[3] ≥ 0∧0 = 0∧0 = 0∧[(-1)bso_39] ≥ 0)

We simplified constraint (19) using rule (IDP_SMT_SPLIT) which results in the following new constraint:
(20)    (x2[3] ≥ 0 ⇒ (U^Increasing(1454_1_MAIN_INVOKEMETHOD(1454_0_bubble_Load(x4[4]), x1[4], x2[4], x3[4])), ≥)∧0 = 0∧0 = 0∧[(-1)Bound*bni_38] + [bni_38]x2[3] ≥ 0∧0 = 0∧0 = 0∧[(-1)bso_39] ≥ 0)

We simplified constraint (20) using rule (IDP_SMT_SPLIT) which results in the following new constraints:
(21)    (x2[3] ≥ 0∧x3[3] ≥ 0 ⇒ (U^Increasing(1454_1_MAIN_INVOKEMETHOD(1454_0_bubble_Load(x4[4]), x1[4], x2[4], x3[4])), ≥)∧0 = 0∧0 = 0∧[(-1)Bound*bni_38] + [bni_38]x2[3] ≥ 0∧0 = 0∧0 = 0∧[(-1)bso_39] ≥ 0)

(22)    (x2[3] ≥ 0∧x3[3] ≥ 0 ⇒ (U^Increasing(1454_1_MAIN_INVOKEMETHOD(1454_0_bubble_Load(x4[4]), x1[4], x2[4], x3[4])), ≥)∧0 = 0∧0 = 0∧[(-1)Bound*bni_38] + [bni_38]x2[3] ≥ 0∧0 = 0∧0 = 0∧[(-1)bso_39] ≥ 0)

For Pair 1366_0_MAIN_GE(x1[3], x3[3], x2[3]) → COND_1366_0_MAIN_GE1(<(x3[3], x2[3]), x1[3], x3[3], x2[3], x4[3]) the following chains were created:

We consider the chain COND_1454_1_MAIN_INVOKEMETHOD(TRUE, List, x1[6], x2[6], x3[6]) → 1366_0_MAIN_GE(x1[6], +(x3[6], 1), x2[6]), 1366_0_MAIN_GE(x1[3], x3[3], x2[3]) → COND_1366_0_MAIN_GE1(<(x3[3], x2[3]), x1[3], x3[3], x2[3], x4[3]), COND_1366_0_MAIN_GE1(TRUE, x1[4], x3[4], x2[4], x4[4]) → 1454_1_MAIN_INVOKEMETHOD(1454_0_bubble_Load(x4[4]), x1[4], x2[4], x3[4]) which results in the following constraint:
(23)    (x1[6]=x1[3]∧+(x3[6], 1)=x3[3]∧x2[6]=x2[3]∧<(x3[3], x2[3])=TRUE∧x1[3]=x1[4]∧x3[3]=x3[4]∧x2[3]=x2[4]∧x4[3]=x4[4] ⇒ 1366_0_MAIN_GE(x1[3], x3[3], x2[3])≥NonInfC∧1366_0_MAIN_GE(x1[3], x3[3], x2[3])≥COND_1366_0_MAIN_GE1(<(x3[3], x2[3]), x1[3], x3[3], x2[3], x4[3])∧(U^Increasing(COND_1366_0_MAIN_GE1(<(x3[3], x2[3]), x1[3], x3[3], x2[3], x4[3])), ≥))

We simplified constraint (23) using rules (III), (IV) which results in the following new constraint:
(24)    (<(+(x3[6], 1), x2[3])=TRUE ⇒ 1366_0_MAIN_GE(x1[6], +(x3[6], 1), x2[3])≥NonInfC∧1366_0_MAIN_GE(x1[6], +(x3[6], 1), x2[3])≥COND_1366_0_MAIN_GE1(<(+(x3[6], 1), x2[3]), x1[6], +(x3[6], 1), x2[3], x4[3])∧(U^Increasing(COND_1366_0_MAIN_GE1(<(x3[3], x2[3]), x1[3], x3[3], x2[3], x4[3])), ≥))

We simplified constraint (24) using rule (POLY_CONSTRAINTS) which results in the following new constraint:
(25)    (x2[3] + [-2] + [-1]x3[6] ≥ 0 ⇒ (U^Increasing(COND_1366_0_MAIN_GE1(<(x3[3], x2[3]), x1[3], x3[3], x2[3], x4[3])), ≥)∧[(-2)bni_40 + (-1)Bound*bni_40] + [bni_40]x2[3] + [(-1)bni_40]x3[6] ≥ 0∧[(-1)bso_41] ≥ 0)

We simplified constraint (25) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:
(26)    (x2[3] + [-2] + [-1]x3[6] ≥ 0 ⇒ (U^Increasing(COND_1366_0_MAIN_GE1(<(x3[3], x2[3]), x1[3], x3[3], x2[3], x4[3])), ≥)∧[(-2)bni_40 + (-1)Bound*bni_40] + [bni_40]x2[3] + [(-1)bni_40]x3[6] ≥ 0∧[(-1)bso_41] ≥ 0)

We simplified constraint (26) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:
(27)    (x2[3] + [-2] + [-1]x3[6] ≥ 0 ⇒ (U^Increasing(COND_1366_0_MAIN_GE1(<(x3[3], x2[3]), x1[3], x3[3], x2[3], x4[3])), ≥)∧[(-2)bni_40 + (-1)Bound*bni_40] + [bni_40]x2[3] + [(-1)bni_40]x3[6] ≥ 0∧[(-1)bso_41] ≥ 0)

We simplified constraint (27) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:
(28)    (x2[3] + [-2] + [-1]x3[6] ≥ 0 ⇒ (U^Increasing(COND_1366_0_MAIN_GE1(<(x3[3], x2[3]), x1[3], x3[3], x2[3], x4[3])), ≥)∧0 = 0∧[(-2)bni_40 + (-1)Bound*bni_40] + [bni_40]x2[3] + [(-1)bni_40]x3[6] ≥ 0∧0 = 0∧0 = 0∧[(-1)bso_41] ≥ 0)

We simplified constraint (28) using rule (IDP_SMT_SPLIT) which results in the following new constraint:
(29)    (x2[3] ≥ 0 ⇒ (U^Increasing(COND_1366_0_MAIN_GE1(<(x3[3], x2[3]), x1[3], x3[3], x2[3], x4[3])), ≥)∧0 = 0∧[(-1)Bound*bni_40] + [bni_40]x2[3] ≥ 0∧0 = 0∧0 = 0∧[(-1)bso_41] ≥ 0)

We simplified constraint (29) using rule (IDP_SMT_SPLIT) which results in the following new constraints:
(30)    (x2[3] ≥ 0∧x3[6] ≥ 0 ⇒ (U^Increasing(COND_1366_0_MAIN_GE1(<(x3[3], x2[3]), x1[3], x3[3], x2[3], x4[3])), ≥)∧0 = 0∧[(-1)Bound*bni_40] + [bni_40]x2[3] ≥ 0∧0 = 0∧0 = 0∧[(-1)bso_41] ≥ 0)

(31)    (x2[3] ≥ 0∧x3[6] ≥ 0 ⇒ (U^Increasing(COND_1366_0_MAIN_GE1(<(x3[3], x2[3]), x1[3], x3[3], x2[3], x4[3])), ≥)∧0 = 0∧[(-1)Bound*bni_40] + [bni_40]x2[3] ≥ 0∧0 = 0∧0 = 0∧[(-1)bso_41] ≥ 0)

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

COND_1454_1_MAIN_INVOKEMETHOD(TRUE, List, x1[6], x2[6], x3[6]) → 1366_0_MAIN_GE(x1[6], +(x3[6], 1), x2[6])
- (x3[5] ≥ 0 ⇒ (U^Increasing(1366_0_MAIN_GE(x1[6], +(x3[6], 1), x2[6])), ≥)∧[bni_34] = 0∧0 = 0∧[(-1)bni_34 + (-1)Bound*bni_34] + [(-1)bni_34]x3[5] ≥ 0∧0 = 0∧0 = 0∧[1 + (-1)bso_35] ≥ 0)
1454_1_MAIN_INVOKEMETHOD(List, x1[5], x2[5], x3[5]) → COND_1454_1_MAIN_INVOKEMETHOD(>(x3[5], -1), List, x1[5], x2[5], x3[5])
- (x3[5] ≥ 0 ⇒ (U^Increasing(COND_1454_1_MAIN_INVOKEMETHOD(>(x3[5], -1), List, x1[5], x2[5], x3[5])), ≥)∧[bni_36] = 0∧0 = 0∧[(-1)bni_36 + (-1)Bound*bni_36] + [(-1)bni_36]x3[5] ≥ 0∧0 = 0∧0 = 0∧[(-1)bso_37] ≥ 0)
COND_1366_0_MAIN_GE1(TRUE, x1[4], x3[4], x2[4], x4[4]) → 1454_1_MAIN_INVOKEMETHOD(1454_0_bubble_Load(x4[4]), x1[4], x2[4], x3[4])
- (x2[3] ≥ 0∧x3[3] ≥ 0 ⇒ (U^Increasing(1454_1_MAIN_INVOKEMETHOD(1454_0_bubble_Load(x4[4]), x1[4], x2[4], x3[4])), ≥)∧0 = 0∧0 = 0∧[(-1)Bound*bni_38] + [bni_38]x2[3] ≥ 0∧0 = 0∧0 = 0∧[(-1)bso_39] ≥ 0)
- (x2[3] ≥ 0∧x3[3] ≥ 0 ⇒ (U^Increasing(1454_1_MAIN_INVOKEMETHOD(1454_0_bubble_Load(x4[4]), x1[4], x2[4], x3[4])), ≥)∧0 = 0∧0 = 0∧[(-1)Bound*bni_38] + [bni_38]x2[3] ≥ 0∧0 = 0∧0 = 0∧[(-1)bso_39] ≥ 0)
1366_0_MAIN_GE(x1[3], x3[3], x2[3]) → COND_1366_0_MAIN_GE1(<(x3[3], x2[3]), x1[3], x3[3], x2[3], x4[3])
- (x2[3] ≥ 0∧x3[6] ≥ 0 ⇒ (U^Increasing(COND_1366_0_MAIN_GE1(<(x3[3], x2[3]), x1[3], x3[3], x2[3], x4[3])), ≥)∧0 = 0∧[(-1)Bound*bni_40] + [bni_40]x2[3] ≥ 0∧0 = 0∧0 = 0∧[(-1)bso_41] ≥ 0)
- (x2[3] ≥ 0∧x3[6] ≥ 0 ⇒ (U^Increasing(COND_1366_0_MAIN_GE1(<(x3[3], x2[3]), x1[3], x3[3], x2[3], x4[3])), ≥)∧0 = 0∧[(-1)Bound*bni_40] + [bni_40]x2[3] ≥ 0∧0 = 0∧0 = 0∧[(-1)bso_41] ≥ 0)

POL(TRUE) = 0
POL(FALSE) = 0
POL(1454_0_bubble_Load(x₁)) = [-1] + [-1]x₁
POL(1629_0_bubble_NULL(x₁)) = [-1] + x₁
POL(NULL) = [-1]
POL(List) = [2]
POL(java.lang.Object(x₁)) = 0
POL(COND_1454_1_MAIN_INVOKEMETHOD(x₁, x₂, x₃, x₄, x₅)) = [1] + [-1]x₅ + x₄ + [-1]x₂
POL(1366_0_MAIN_GE(x₁, x₂, x₃)) = [-1] + x₃ + [-1]x₂
POL(+(x₁, x₂)) = x₁ + x₂
POL(1) = [1]
POL(1454_1_MAIN_INVOKEMETHOD(x₁, x₂, x₃, x₄)) = [-1] + [-1]x₄ + x₃
POL(>(x₁, x₂)) = [-1]
POL(-1) = [-1]
POL(COND_1366_0_MAIN_GE1(x₁, x₂, x₃, x₄, x₅)) = [-1] + x₄ + [-1]x₃
POL(<(x₁, x₂)) = [-1]

The following pairs are in P_>:

COND_1454_1_MAIN_INVOKEMETHOD(TRUE, List, x1[6], x2[6], x3[6]) → 1366_0_MAIN_GE(x1[6], +(x3[6], 1), x2[6])

The following pairs are in P_bound:

COND_1366_0_MAIN_GE1(TRUE, x1[4], x3[4], x2[4], x4[4]) → 1454_1_MAIN_INVOKEMETHOD(1454_0_bubble_Load(x4[4]), x1[4], x2[4], x3[4])
1366_0_MAIN_GE(x1[3], x3[3], x2[3]) → COND_1366_0_MAIN_GE1(<(x3[3], x2[3]), x1[3], x3[3], x2[3], x4[3])

The following pairs are in P_≥:

1454_1_MAIN_INVOKEMETHOD(List, x1[5], x2[5], x3[5]) → COND_1454_1_MAIN_INVOKEMETHOD(>(x3[5], -1), List, x1[5], x2[5], x3[5])
COND_1366_0_MAIN_GE1(TRUE, x1[4], x3[4], x2[4], x4[4]) → 1454_1_MAIN_INVOKEMETHOD(1454_0_bubble_Load(x4[4]), x1[4], x2[4], x3[4])
1366_0_MAIN_GE(x1[3], x3[3], x2[3]) → COND_1366_0_MAIN_GE1(<(x3[3], x2[3]), x1[3], x3[3], x2[3], x4[3])

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

List¹ → 1629_0_bubble_NULL(java.lang.Object(List))¹

(40) Complex Obligation (AND)

(41) Obligation:

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

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

The following domains are used:

Integer

The ITRS R consists of the following rules:
1454_0_bubble_Load(x0) → 1629_0_bubble_NULL(x0)
1629_0_bubble_NULL(NULL) → List
1629_0_bubble_NULL(java.lang.Object(List)) → List
1629_0_bubble_NULL(java.lang.Object(List)) → 1629_0_bubble_NULL(java.lang.Object(List))

The integer pair graph contains the following rules and edges:
(5): 1454_1_MAIN_INVOKEMETHOD(List, x1[5], x2[5], x3[5]) → COND_1454_1_MAIN_INVOKEMETHOD(x3[5] > -1, List, x1[5], x2[5], x3[5])
(4): COND_1366_0_MAIN_GE1(TRUE, x1[4], x3[4], x2[4], x4[4]) → 1454_1_MAIN_INVOKEMETHOD(1454_0_bubble_Load(x4[4]), x1[4], x2[4], x3[4])
(3): 1366_0_MAIN_GE(x1[3], x3[3], x2[3]) → COND_1366_0_MAIN_GE1(x3[3] < x2[3], x1[3], x3[3], x2[3], x4[3])

(3) -> (4), if (x3[3] < x2[3] ∧x1[3] →^* x1[4]∧x3[3] →^* x3[4]∧x2[3] →^* x2[4]∧x4[3] →^* x4[4])

(4) -> (5), if (1454_0_bubble_Load(x4[4]) →^* List∧x1[4] →^* x1[5]∧x2[4] →^* x2[5]∧x3[4] →^* x3[5])

(42) IDependencyGraphProof (EQUIVALENT transformation)

The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 0 SCCs with 3 less nodes.

(43) TRUE

(44) Obligation:

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

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

The following domains are used:

Integer

(5) -> (6), if (x3[5] > -1 ∧x1[5] →^* x1[6]∧x2[5] →^* x2[6]∧x3[5] →^* x3[6])

(45) IDependencyGraphProof (EQUIVALENT transformation)

The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 0 SCCs with 2 less nodes.

(0) Obligation:

(1) JBCToGraph (SOUND transformation)

(2) Obligation:

(3) TerminationGraphToSCCProof (SOUND transformation)

(4) Complex Obligation (AND)

(5) Obligation:

(6) SCCToIDPv1Proof (SOUND transformation)

(7) Obligation:

(8) IDPNonInfProof (SOUND transformation)

(9) Obligation:

(10) IDependencyGraphProof (EQUIVALENT transformation)

(11) TRUE

(12) Obligation:

(13) SCCToIDPv1Proof (SOUND transformation)

(14) Obligation:

(15) IDPtoQDPProof (SOUND transformation)

(16) Obligation:

(17) QDPSizeChangeProof (EQUIVALENT transformation)

(18) YES

(19) Obligation:

(20) SCCToIDPv1Proof (SOUND transformation)

(21) Obligation:

(22) IDPNonInfProof (SOUND transformation)

(23) Complex Obligation (AND)

(24) Obligation:

(25) IDependencyGraphProof (EQUIVALENT transformation)

(26) TRUE

(27) Obligation:

(28) IDependencyGraphProof (EQUIVALENT transformation)

(29) TRUE

(30) Obligation:

(31) SCCToIDPv1Proof (SOUND transformation)

(32) Obligation:

(33) IDPNonInfProof (SOUND transformation)

(34) Obligation:

(35) IDependencyGraphProof (EQUIVALENT transformation)

(36) Obligation:

(37) UsableRulesProof (EQUIVALENT transformation)

(38) Obligation:

(39) IDPNonInfProof (SOUND transformation)

(40) Complex Obligation (AND)

(41) Obligation:

(42) IDependencyGraphProof (EQUIVALENT transformation)

(43) TRUE

(44) Obligation:

(45) IDependencyGraphProof (EQUIVALENT transformation)

(46) TRUE