(0) Obligation:

JBC Problem based on JBC Program:
Manifest-Version: 1.0 Created-By: 1.6.0_16 (Sun Microsystems Inc.) Main-Class: Shuffle
`public class Random {  static String[] args;  static int index = 0;  public static int random() {    String string = args[index];    index++;    return string.length();  }}public class Shuffle{  // adapted from [Walther, 94]  public static void main(String[] args) {    Random.args = args;    IntList l = IntList.createIntList();    IntList res = null;    while (l != null) {      res = new IntList(l.value, res);      l = l.next;      if (l != null) l = l.reverse();    }  }}class IntList {  int value;  IntList next;  public IntList(int value, IntList next) {    this.value = value;    this.next = next;  }  public static IntList createIntList() {    int i = Random.random();    int j;    IntList l = null;    while (i > 0) {      j = Random.random();      l = new IntList(j, l);      i--;    }    return l;  }  public IntList reverse() {    IntList res = null;    IntList l = this;    while (l != null) {      res = new IntList(l.value, res);      l = l.next;    }    return res;  }}`

(1) JBCToGraph (SOUND transformation)

Constructed TerminationGraph.

(2) Obligation:

Termination Graph based on JBC Program:
Shuffle.main([Ljava/lang/String;)V: Graph of 94 nodes with 1 SCC.

IntList.createIntList()LIntList;: Graph of 165 nodes with 1 SCC.

IntList.reverse()LIntList;: Graph of 54 nodes with 1 SCC.

(3) TerminationGraphToSCCProof (SOUND transformation)

Splitted TerminationGraph to 3 SCCss.

(5) Obligation:

SCC of termination graph based on JBC Program.
SCC contains nodes from the following methods: IntList.reverse()LIntList;
SCC calls the following helper methods:
Performed SCC analyses: UsedFieldsAnalysis

(6) SCCToIDPv1Proof (SOUND transformation)

Transformed FIGraph SCCs to IDPs. Log:

Generated 46 rules for P and 0 rules for R.

P rules:
1696_0_reverse_NULL(EOS(STATIC_1696), java.lang.Object(o826sub), java.lang.Object(o826sub)) → 1698_0_reverse_NULL(EOS(STATIC_1698), java.lang.Object(o826sub), java.lang.Object(o826sub))
1698_0_reverse_NULL(EOS(STATIC_1698), java.lang.Object(o826sub), java.lang.Object(o826sub)) → 1701_0_reverse_New(EOS(STATIC_1701), java.lang.Object(o826sub))
1701_0_reverse_New(EOS(STATIC_1701), java.lang.Object(o826sub)) → 1704_0_reverse_Duplicate(EOS(STATIC_1704), java.lang.Object(o826sub))
1707_0_reverse_Load(EOS(STATIC_1707), java.lang.Object(o826sub)) → 1711_0_reverse_FieldAccess(EOS(STATIC_1711), java.lang.Object(o826sub), java.lang.Object(o826sub))
1711_0_reverse_FieldAccess(EOS(STATIC_1711), java.lang.Object(o826sub), java.lang.Object(o826sub)) → 1716_0_reverse_FieldAccess(EOS(STATIC_1716), java.lang.Object(o826sub), java.lang.Object(o826sub))
1711_0_reverse_FieldAccess(EOS(STATIC_1711), java.lang.Object(o814sub), java.lang.Object(o814sub)) → 1717_0_reverse_FieldAccess(EOS(STATIC_1717), java.lang.Object(o814sub), java.lang.Object(o814sub))
1716_0_reverse_FieldAccess(EOS(STATIC_1716), java.lang.Object(IntList(EOC, i487, o832)), java.lang.Object(IntList(EOC, i487, o832))) → 1720_0_reverse_FieldAccess(EOS(STATIC_1720), java.lang.Object(IntList(EOC, i487, o832)), java.lang.Object(IntList(EOC, i487, o832)))
1720_0_reverse_FieldAccess(EOS(STATIC_1720), java.lang.Object(IntList(EOC, i487, o832)), java.lang.Object(IntList(EOC, i487, o832))) → 1725_0_reverse_Load(EOS(STATIC_1725), java.lang.Object(IntList(EOC, i487, o832)))
1725_0_reverse_Load(EOS(STATIC_1725), java.lang.Object(IntList(EOC, i487, o832))) → 1730_0_reverse_InvokeMethod(EOS(STATIC_1730), java.lang.Object(IntList(EOC, i487, o832)))
1730_0_reverse_InvokeMethod(EOS(STATIC_1730), java.lang.Object(IntList(EOC, i487, o832))) → 1736_0_<init>_Load(EOS(STATIC_1736), java.lang.Object(IntList(EOC, i487, o832)))
1736_0_<init>_Load(EOS(STATIC_1736), java.lang.Object(IntList(EOC, i487, o832))) → 1739_0_<init>_InvokeMethod(EOS(STATIC_1739), java.lang.Object(IntList(EOC, i487, o832)))
1739_0_<init>_InvokeMethod(EOS(STATIC_1739), java.lang.Object(IntList(EOC, i487, o832))) → 1743_0_<init>_Load(EOS(STATIC_1743), java.lang.Object(IntList(EOC, i487, o832)))
1746_0_<init>_Load(EOS(STATIC_1746), java.lang.Object(IntList(EOC, i487, o832))) → 1750_0_<init>_FieldAccess(EOS(STATIC_1750), java.lang.Object(IntList(EOC, i487, o832)))
1750_0_<init>_FieldAccess(EOS(STATIC_1750), java.lang.Object(IntList(EOC, i487, o832))) → 1753_0_<init>_Load(EOS(STATIC_1753), java.lang.Object(IntList(EOC, i487, o832)))
1756_0_<init>_Load(EOS(STATIC_1756), java.lang.Object(IntList(EOC, i487, o832))) → 1758_0_<init>_FieldAccess(EOS(STATIC_1758), java.lang.Object(IntList(EOC, i487, o832)))
1758_0_<init>_FieldAccess(EOS(STATIC_1758), java.lang.Object(IntList(EOC, i487, o832))) → 1762_0_<init>_Return(EOS(STATIC_1762), java.lang.Object(IntList(EOC, i487, o832)))
1762_0_<init>_Return(EOS(STATIC_1762), java.lang.Object(IntList(EOC, i487, o832))) → 1767_0_reverse_Store(EOS(STATIC_1767), java.lang.Object(IntList(EOC, i487, o832)))
1767_0_reverse_Store(EOS(STATIC_1767), java.lang.Object(IntList(EOC, i487, o832))) → 1770_0_reverse_Load(EOS(STATIC_1770), java.lang.Object(IntList(EOC, i487, o832)))
1770_0_reverse_Load(EOS(STATIC_1770), java.lang.Object(IntList(EOC, i487, o832))) → 1773_0_reverse_FieldAccess(EOS(STATIC_1773), java.lang.Object(IntList(EOC, i487, o832)))
1773_0_reverse_FieldAccess(EOS(STATIC_1773), java.lang.Object(IntList(EOC, i487, o832))) → 1777_0_reverse_Store(EOS(STATIC_1777), o832)
1777_0_reverse_Store(EOS(STATIC_1777), o832) → 1780_0_reverse_JMP(EOS(STATIC_1780), o832)
1693_0_reverse_Load(EOS(STATIC_1693), o817) → 1696_0_reverse_NULL(EOS(STATIC_1696), o817, o817)
1717_0_reverse_FieldAccess(EOS(STATIC_1717), java.lang.Object(IntList(EOC, i488, o834)), java.lang.Object(IntList(EOC, i488, o834))) → 1722_0_reverse_FieldAccess(EOS(STATIC_1722), java.lang.Object(IntList(EOC, i488, o834)), java.lang.Object(IntList(EOC, i488, o834)))
1722_0_reverse_FieldAccess(EOS(STATIC_1722), java.lang.Object(IntList(EOC, i488, o834)), java.lang.Object(IntList(EOC, i488, o834))) → 1727_0_reverse_Load(EOS(STATIC_1727), java.lang.Object(IntList(EOC, i488, o834)))
1727_0_reverse_Load(EOS(STATIC_1727), java.lang.Object(IntList(EOC, i488, o834))) → 1732_0_reverse_InvokeMethod(EOS(STATIC_1732), java.lang.Object(IntList(EOC, i488, o834)))
1732_0_reverse_InvokeMethod(EOS(STATIC_1732), java.lang.Object(IntList(EOC, i488, o834))) → 1737_0_<init>_Load(EOS(STATIC_1737), java.lang.Object(IntList(EOC, i488, o834)))
1737_0_<init>_Load(EOS(STATIC_1737), java.lang.Object(IntList(EOC, i488, o834))) → 1741_0_<init>_InvokeMethod(EOS(STATIC_1741), java.lang.Object(IntList(EOC, i488, o834)))
1741_0_<init>_InvokeMethod(EOS(STATIC_1741), java.lang.Object(IntList(EOC, i488, o834))) → 1744_0_<init>_Load(EOS(STATIC_1744), java.lang.Object(IntList(EOC, i488, o834)))
1748_0_<init>_Load(EOS(STATIC_1748), java.lang.Object(IntList(EOC, i488, o834))) → 1751_0_<init>_FieldAccess(EOS(STATIC_1751), java.lang.Object(IntList(EOC, i488, o834)))
1751_0_<init>_FieldAccess(EOS(STATIC_1751), java.lang.Object(IntList(EOC, i488, o834))) → 1755_0_<init>_Load(EOS(STATIC_1755), java.lang.Object(IntList(EOC, i488, o834)))
1757_0_<init>_Load(EOS(STATIC_1757), java.lang.Object(IntList(EOC, i488, o834))) → 1760_0_<init>_FieldAccess(EOS(STATIC_1760), java.lang.Object(IntList(EOC, i488, o834)))
1760_0_<init>_FieldAccess(EOS(STATIC_1760), java.lang.Object(IntList(EOC, i488, o834))) → 1765_0_<init>_Return(EOS(STATIC_1765), java.lang.Object(IntList(EOC, i488, o834)))
1765_0_<init>_Return(EOS(STATIC_1765), java.lang.Object(IntList(EOC, i488, o834))) → 1768_0_reverse_Store(EOS(STATIC_1768), java.lang.Object(IntList(EOC, i488, o834)))
1768_0_reverse_Store(EOS(STATIC_1768), java.lang.Object(IntList(EOC, i488, o834))) → 1772_0_reverse_Load(EOS(STATIC_1772), java.lang.Object(IntList(EOC, i488, o834)))
1772_0_reverse_Load(EOS(STATIC_1772), java.lang.Object(IntList(EOC, i488, o834))) → 1775_0_reverse_FieldAccess(EOS(STATIC_1775), java.lang.Object(IntList(EOC, i488, o834)))
1775_0_reverse_FieldAccess(EOS(STATIC_1775), java.lang.Object(IntList(EOC, i488, o834))) → 1778_0_reverse_Store(EOS(STATIC_1778), o834)
1778_0_reverse_Store(EOS(STATIC_1778), o834) → 1781_0_reverse_JMP(EOS(STATIC_1781), o834)
R rules:

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

P rules:
1696_0_reverse_NULL(EOS(STATIC_1696), java.lang.Object(IntList(EOC, x0, x1)), java.lang.Object(IntList(EOC, x0, x1))) → 1696_0_reverse_NULL(EOS(STATIC_1696), x1, x1)
R rules:

Filtered ground terms:

1696_0_reverse_NULL(x1, x2, x3) → 1696_0_reverse_NULL(x2, x3)
EOS(x1) → EOS
IntList(x1, x2, x3) → IntList(x2, x3)

Filtered duplicate args:

1696_0_reverse_NULL(x1, x2) → 1696_0_reverse_NULL(x2)

Filtered unneeded arguments:

IntList(x1, x2) → IntList(x2)

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

P rules:
1696_0_reverse_NULL(java.lang.Object(IntList(x1))) → 1696_0_reverse_NULL(x1)
R rules:

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

P rules:
1696_0_REVERSE_NULL(java.lang.Object(IntList(x1))) → 1696_0_REVERSE_NULL(x1)
R rules:

(7) Obligation:

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

The following domains are used:
none

R is empty.

The integer pair graph contains the following rules and edges:
(0): 1696_0_REVERSE_NULL(java.lang.Object(IntList(x1[0]))) → 1696_0_REVERSE_NULL(x1[0])

(0) -> (0), if (x1[0]* java.lang.Object(IntList(x1[0]')))

The set Q is empty.

(8) IDPtoQDPProof (SOUND transformation)

Represented integers and predefined function symbols by Terms

(9) Obligation:

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

1696_0_REVERSE_NULL(java.lang.Object(IntList(x1[0]))) → 1696_0_REVERSE_NULL(x1[0])

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

(10) QDPSizeChangeProof (EQUIVALENT transformation)

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

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

• 1696_0_REVERSE_NULL(java.lang.Object(IntList(x1[0]))) → 1696_0_REVERSE_NULL(x1[0])
The graph contains the following edges 1 > 1

(12) Obligation:

SCC of termination graph based on JBC Program.
SCC contains nodes from the following methods: IntList.createIntList()LIntList;
SCC calls the following helper methods:
Performed SCC analyses: UsedFieldsAnalysis

(13) SCCToIDPv1Proof (SOUND transformation)

Transformed FIGraph SCCs to IDPs. Log:

Generated 40 rules for P and 0 rules for R.

P rules:
1413_0_createIntList_LE(EOS(STATIC_1413), i383, i383) → 1417_0_createIntList_LE(EOS(STATIC_1417), i383, i383)
1417_0_createIntList_LE(EOS(STATIC_1417), i383, i383) → 1421_0_createIntList_InvokeMethod(EOS(STATIC_1421), i383) | >(i383, 0)
1421_0_createIntList_InvokeMethod(EOS(STATIC_1421), i383) → 1426_0_random_FieldAccess(EOS(STATIC_1426), i383)
1426_0_random_FieldAccess(EOS(STATIC_1426), i383) → 1433_0_random_FieldAccess(EOS(STATIC_1433), i383)
1433_0_random_FieldAccess(EOS(STATIC_1433), i383) → 1438_0_random_ArrayAccess(EOS(STATIC_1438), i383)
1438_0_random_ArrayAccess(EOS(STATIC_1438), i383) → 1441_0_random_ArrayAccess(EOS(STATIC_1441), i383)
1441_0_random_ArrayAccess(EOS(STATIC_1441), i383) → 1445_0_random_Store(EOS(STATIC_1445), i383, o674)
1445_0_random_Store(EOS(STATIC_1445), i383, o674) → 1451_0_random_FieldAccess(EOS(STATIC_1451), i383, o674)
1451_0_random_FieldAccess(EOS(STATIC_1451), i383, o674) → 1453_0_random_ConstantStackPush(EOS(STATIC_1453), i383, o674)
1453_0_random_ConstantStackPush(EOS(STATIC_1453), i383, o674) → 1458_0_random_IntArithmetic(EOS(STATIC_1458), i383, o674)
1458_0_random_IntArithmetic(EOS(STATIC_1458), i383, o674) → 1463_0_random_FieldAccess(EOS(STATIC_1463), i383, o674)
1463_0_random_FieldAccess(EOS(STATIC_1463), i383, o674) → 1466_0_random_Load(EOS(STATIC_1466), i383, o674)
1466_0_random_Load(EOS(STATIC_1466), i383, o674) → 1474_0_random_InvokeMethod(EOS(STATIC_1474), i383, o674)
1474_0_random_InvokeMethod(EOS(STATIC_1474), i383, java.lang.Object(o691sub)) → 1479_0_random_InvokeMethod(EOS(STATIC_1479), i383, java.lang.Object(o691sub))
1479_0_random_InvokeMethod(EOS(STATIC_1479), i383, java.lang.Object(o691sub)) → 1484_0_length_Load(EOS(STATIC_1484), i383, java.lang.Object(o691sub), java.lang.Object(o691sub))
1484_0_length_Load(EOS(STATIC_1484), i383, java.lang.Object(o691sub), java.lang.Object(o691sub)) → 1495_0_length_FieldAccess(EOS(STATIC_1495), i383, java.lang.Object(o691sub), java.lang.Object(o691sub))
1495_0_length_FieldAccess(EOS(STATIC_1495), i383, java.lang.Object(java.lang.String(o700sub, i415)), java.lang.Object(java.lang.String(o700sub, i415))) → 1498_0_length_FieldAccess(EOS(STATIC_1498), i383, java.lang.Object(java.lang.String(o700sub, i415)), java.lang.Object(java.lang.String(o700sub, i415))) | &&(>=(i415, 0), >=(i416, 0))
1498_0_length_FieldAccess(EOS(STATIC_1498), i383, java.lang.Object(java.lang.String(o700sub, i415)), java.lang.Object(java.lang.String(o700sub, i415))) → 1505_0_length_Return(EOS(STATIC_1505), i383, java.lang.Object(java.lang.String(o700sub, i415)))
1505_0_length_Return(EOS(STATIC_1505), i383, java.lang.Object(java.lang.String(o700sub, i415))) → 1512_0_random_Return(EOS(STATIC_1512), i383)
1512_0_random_Return(EOS(STATIC_1512), i383) → 1517_0_createIntList_Store(EOS(STATIC_1517), i383)
1517_0_createIntList_Store(EOS(STATIC_1517), i383) → 1525_0_createIntList_New(EOS(STATIC_1525), i383)
1525_0_createIntList_New(EOS(STATIC_1525), i383) → 1532_0_createIntList_Duplicate(EOS(STATIC_1532), i383)
1620_0_<init>_FieldAccess(EOS(STATIC_1620), i383) → 1628_0_<init>_Return(EOS(STATIC_1628), i383)
1628_0_<init>_Return(EOS(STATIC_1628), i383) → 1635_0_createIntList_Store(EOS(STATIC_1635), i383)
1635_0_createIntList_Store(EOS(STATIC_1635), i383) → 1642_0_createIntList_Inc(EOS(STATIC_1642), i383)
1642_0_createIntList_Inc(EOS(STATIC_1642), i383) → 1648_0_createIntList_JMP(EOS(STATIC_1648), +(i383, -1)) | >(i383, 0)
1409_0_createIntList_Load(EOS(STATIC_1409), i378) → 1413_0_createIntList_LE(EOS(STATIC_1413), i378, i378)
R rules:

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

P rules:
1413_0_createIntList_LE(EOS(STATIC_1413), x0, x0) → 1413_0_createIntList_LE(EOS(STATIC_1413), +(x0, -1), +(x0, -1)) | >(x0, 0)
R rules:

Filtered ground terms:

1413_0_createIntList_LE(x1, x2, x3) → 1413_0_createIntList_LE(x2, x3)
EOS(x1) → EOS
Cond_1413_0_createIntList_LE(x1, x2, x3, x4) → Cond_1413_0_createIntList_LE(x1, x3, x4)

Filtered duplicate args:

1413_0_createIntList_LE(x1, x2) → 1413_0_createIntList_LE(x2)
Cond_1413_0_createIntList_LE(x1, x2, x3) → Cond_1413_0_createIntList_LE(x1, x3)

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

P rules:
1413_0_createIntList_LE(x0) → 1413_0_createIntList_LE(+(x0, -1)) | >(x0, 0)
R rules:

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

P rules:
1413_0_CREATEINTLIST_LE(x0) → COND_1413_0_CREATEINTLIST_LE(>(x0, 0), x0)
COND_1413_0_CREATEINTLIST_LE(TRUE, x0) → 1413_0_CREATEINTLIST_LE(+(x0, -1))
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:

Integer

R is empty.

The integer pair graph contains the following rules and edges:
(0): 1413_0_CREATEINTLIST_LE(x0[0]) → COND_1413_0_CREATEINTLIST_LE(x0[0] > 0, x0[0])
(1): COND_1413_0_CREATEINTLIST_LE(TRUE, x0[1]) → 1413_0_CREATEINTLIST_LE(x0[1] + -1)

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

(1) -> (0), if (x0[1] + -1* x0[0])

The set Q is empty.

(15) 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@5e20a82a 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 1413_0_CREATEINTLIST_LE(x0) → COND_1413_0_CREATEINTLIST_LE(>(x0, 0), x0) the following chains were created:
• We consider the chain 1413_0_CREATEINTLIST_LE(x0[0]) → COND_1413_0_CREATEINTLIST_LE(>(x0[0], 0), x0[0]), COND_1413_0_CREATEINTLIST_LE(TRUE, x0[1]) → 1413_0_CREATEINTLIST_LE(+(x0[1], -1)) which results in the following constraint:

(1)    (>(x0[0], 0)=TRUEx0[0]=x0[1]1413_0_CREATEINTLIST_LE(x0[0])≥NonInfC∧1413_0_CREATEINTLIST_LE(x0[0])≥COND_1413_0_CREATEINTLIST_LE(>(x0[0], 0), x0[0])∧(UIncreasing(COND_1413_0_CREATEINTLIST_LE(>(x0[0], 0), x0[0])), ≥))

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

(2)    (>(x0[0], 0)=TRUE1413_0_CREATEINTLIST_LE(x0[0])≥NonInfC∧1413_0_CREATEINTLIST_LE(x0[0])≥COND_1413_0_CREATEINTLIST_LE(>(x0[0], 0), x0[0])∧(UIncreasing(COND_1413_0_CREATEINTLIST_LE(>(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 ⇒ (UIncreasing(COND_1413_0_CREATEINTLIST_LE(>(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 ⇒ (UIncreasing(COND_1413_0_CREATEINTLIST_LE(>(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 ⇒ (UIncreasing(COND_1413_0_CREATEINTLIST_LE(>(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 ⇒ (UIncreasing(COND_1413_0_CREATEINTLIST_LE(>(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_1413_0_CREATEINTLIST_LE(TRUE, x0) → 1413_0_CREATEINTLIST_LE(+(x0, -1)) the following chains were created:
• We consider the chain COND_1413_0_CREATEINTLIST_LE(TRUE, x0[1]) → 1413_0_CREATEINTLIST_LE(+(x0[1], -1)) which results in the following constraint:

(7)    (COND_1413_0_CREATEINTLIST_LE(TRUE, x0[1])≥NonInfC∧COND_1413_0_CREATEINTLIST_LE(TRUE, x0[1])≥1413_0_CREATEINTLIST_LE(+(x0[1], -1))∧(UIncreasing(1413_0_CREATEINTLIST_LE(+(x0[1], -1))), ≥))

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

(8)    ((UIncreasing(1413_0_CREATEINTLIST_LE(+(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)    ((UIncreasing(1413_0_CREATEINTLIST_LE(+(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)    ((UIncreasing(1413_0_CREATEINTLIST_LE(+(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)    ((UIncreasing(1413_0_CREATEINTLIST_LE(+(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.
• 1413_0_CREATEINTLIST_LE(x0) → COND_1413_0_CREATEINTLIST_LE(>(x0, 0), x0)
• (x0[0] ≥ 0 ⇒ (UIncreasing(COND_1413_0_CREATEINTLIST_LE(>(x0[0], 0), x0[0])), ≥)∧[(-1)Bound*bni_8 + (2)bni_8] + [(2)bni_8]x0[0] ≥ 0∧[(-1)bso_9] ≥ 0)

• COND_1413_0_CREATEINTLIST_LE(TRUE, x0) → 1413_0_CREATEINTLIST_LE(+(x0, -1))
• ((UIncreasing(1413_0_CREATEINTLIST_LE(+(x0[1], -1))), ≥)∧[bni_10] = 0∧0 = 0∧[2 + (-1)bso_11] ≥ 0)

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

POL(TRUE) = 0
POL(FALSE) = 0
POL(1413_0_CREATEINTLIST_LE(x1)) = [2]x1
POL(COND_1413_0_CREATEINTLIST_LE(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_1413_0_CREATEINTLIST_LE(TRUE, x0[1]) → 1413_0_CREATEINTLIST_LE(+(x0[1], -1))

The following pairs are in Pbound:

1413_0_CREATEINTLIST_LE(x0[0]) → COND_1413_0_CREATEINTLIST_LE(>(x0[0], 0), x0[0])

The following pairs are in P:

1413_0_CREATEINTLIST_LE(x0[0]) → COND_1413_0_CREATEINTLIST_LE(>(x0[0], 0), x0[0])

There are no usable rules.

(17) 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): 1413_0_CREATEINTLIST_LE(x0[0]) → COND_1413_0_CREATEINTLIST_LE(x0[0] > 0, x0[0])

The set Q is empty.

(18) IDependencyGraphProof (EQUIVALENT transformation)

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

(20) Obligation:

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

The following domains are used:

Integer

R is empty.

The integer pair graph contains the following rules and edges:
(1): COND_1413_0_CREATEINTLIST_LE(TRUE, x0[1]) → 1413_0_CREATEINTLIST_LE(x0[1] + -1)

The set Q is empty.

(21) IDependencyGraphProof (EQUIVALENT transformation)

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

(23) Obligation:

SCC of termination graph based on JBC Program.
SCC contains nodes from the following methods: Shuffle.main([Ljava/lang/String;)V
SCC calls the following helper methods: IntList.reverse()LIntList;
Performed SCC analyses: UsedFieldsAnalysis

(24) SCCToIDPv1Proof (SOUND transformation)

Transformed FIGraph SCCs to IDPs. Log:

Generated 36 rules for P and 56 rules for R.

P rules:
1377_0_main_NULL(EOS(STATIC_1377), java.lang.Object(o648sub), o628, java.lang.Object(o648sub)) → 1388_0_main_NULL(EOS(STATIC_1388), java.lang.Object(o648sub), o628, java.lang.Object(o648sub))
1388_0_main_NULL(EOS(STATIC_1388), java.lang.Object(o648sub), o628, java.lang.Object(o648sub)) → 1395_0_main_New(EOS(STATIC_1395), java.lang.Object(o648sub), o628)
1395_0_main_New(EOS(STATIC_1395), java.lang.Object(o648sub), o628) → 1403_0_main_Duplicate(EOS(STATIC_1403), java.lang.Object(o648sub), o628, java.lang.Object(IntList(EOC, 0, NULL)))
1403_0_main_Duplicate(EOS(STATIC_1403), java.lang.Object(o648sub), o628, java.lang.Object(IntList(EOC, matching1, NULL))) → 1412_0_main_Load(EOS(STATIC_1412), java.lang.Object(o648sub), o628, java.lang.Object(IntList(EOC, 0, NULL)), java.lang.Object(IntList(EOC, 0, NULL))) | =(matching1, 0)
1412_0_main_Load(EOS(STATIC_1412), java.lang.Object(o648sub), o628, java.lang.Object(IntList(EOC, matching1, NULL)), java.lang.Object(IntList(EOC, matching2, NULL))) → 1415_0_main_FieldAccess(EOS(STATIC_1415), java.lang.Object(o648sub), o628, java.lang.Object(IntList(EOC, 0, NULL)), java.lang.Object(IntList(EOC, 0, NULL)), java.lang.Object(o648sub)) | &&(=(matching1, 0), =(matching2, 0))
1415_0_main_FieldAccess(EOS(STATIC_1415), java.lang.Object(IntList(EOC, i384, o665)), o628, java.lang.Object(IntList(EOC, matching1, NULL)), java.lang.Object(IntList(EOC, matching2, NULL)), java.lang.Object(IntList(EOC, i384, o665))) → 1419_0_main_FieldAccess(EOS(STATIC_1419), java.lang.Object(IntList(EOC, i384, o665)), o628, java.lang.Object(IntList(EOC, 0, NULL)), java.lang.Object(IntList(EOC, 0, NULL)), java.lang.Object(IntList(EOC, i384, o665))) | &&(=(matching1, 0), =(matching2, 0))
1419_0_main_FieldAccess(EOS(STATIC_1419), java.lang.Object(IntList(EOC, i384, o665)), o628, java.lang.Object(IntList(EOC, matching1, NULL)), java.lang.Object(IntList(EOC, matching2, NULL)), java.lang.Object(IntList(EOC, i384, o665))) → 1423_0_main_Load(EOS(STATIC_1423), java.lang.Object(IntList(EOC, i384, o665)), o628, java.lang.Object(IntList(EOC, 0, NULL)), java.lang.Object(IntList(EOC, 0, NULL)), i384) | &&(=(matching1, 0), =(matching2, 0))
1423_0_main_Load(EOS(STATIC_1423), java.lang.Object(IntList(EOC, i384, o665)), o628, java.lang.Object(IntList(EOC, matching1, NULL)), java.lang.Object(IntList(EOC, matching2, NULL)), i384) → 1427_0_main_InvokeMethod(EOS(STATIC_1427), java.lang.Object(IntList(EOC, i384, o665)), java.lang.Object(IntList(EOC, 0, NULL)), java.lang.Object(IntList(EOC, 0, NULL)), i384, o628) | &&(=(matching1, 0), =(matching2, 0))
1427_0_main_InvokeMethod(EOS(STATIC_1427), java.lang.Object(IntList(EOC, i384, o665)), java.lang.Object(IntList(EOC, matching1, NULL)), java.lang.Object(IntList(EOC, matching2, NULL)), i384, o628) → 1430_0_<init>_Load(EOS(STATIC_1430), java.lang.Object(IntList(EOC, i384, o665)), java.lang.Object(IntList(EOC, 0, NULL)), java.lang.Object(IntList(EOC, 0, NULL)), i384, o628, java.lang.Object(IntList(EOC, 0, NULL)), i384, o628) | &&(=(matching1, 0), =(matching2, 0))
1430_0_<init>_Load(EOS(STATIC_1430), java.lang.Object(IntList(EOC, i384, o665)), java.lang.Object(IntList(EOC, matching1, NULL)), java.lang.Object(IntList(EOC, matching2, NULL)), i384, o628, java.lang.Object(IntList(EOC, matching3, NULL)), i384, o628) → 1439_0_<init>_InvokeMethod(EOS(STATIC_1439), java.lang.Object(IntList(EOC, i384, o665)), java.lang.Object(IntList(EOC, 0, NULL)), java.lang.Object(IntList(EOC, 0, NULL)), i384, o628, java.lang.Object(IntList(EOC, 0, NULL)), i384, o628, java.lang.Object(IntList(EOC, 0, NULL))) | &&(&&(=(matching1, 0), =(matching2, 0)), =(matching3, 0))
1439_0_<init>_InvokeMethod(EOS(STATIC_1439), java.lang.Object(IntList(EOC, i384, o665)), java.lang.Object(IntList(EOC, matching1, NULL)), java.lang.Object(IntList(EOC, matching2, NULL)), i384, o628, java.lang.Object(IntList(EOC, matching3, NULL)), i384, o628, java.lang.Object(IntList(EOC, matching4, NULL))) → 1443_0_<init>_Load(EOS(STATIC_1443), java.lang.Object(IntList(EOC, i384, o665)), java.lang.Object(IntList(EOC, 0, NULL)), java.lang.Object(IntList(EOC, 0, NULL)), i384, o628, java.lang.Object(IntList(EOC, 0, NULL)), i384, o628) | &&(&&(&&(=(matching1, 0), =(matching2, 0)), =(matching3, 0)), =(matching4, 0))
1443_0_<init>_Load(EOS(STATIC_1443), java.lang.Object(IntList(EOC, i384, o665)), java.lang.Object(IntList(EOC, matching1, NULL)), java.lang.Object(IntList(EOC, matching2, NULL)), i384, o628, java.lang.Object(IntList(EOC, matching3, NULL)), i384, o628) → 1449_0_<init>_Load(EOS(STATIC_1449), java.lang.Object(IntList(EOC, i384, o665)), java.lang.Object(IntList(EOC, 0, NULL)), java.lang.Object(IntList(EOC, 0, NULL)), i384, o628, java.lang.Object(IntList(EOC, 0, NULL)), i384, o628, java.lang.Object(IntList(EOC, 0, NULL))) | &&(&&(=(matching1, 0), =(matching2, 0)), =(matching3, 0))
1449_0_<init>_Load(EOS(STATIC_1449), java.lang.Object(IntList(EOC, i384, o665)), java.lang.Object(IntList(EOC, matching1, NULL)), java.lang.Object(IntList(EOC, matching2, NULL)), i384, o628, java.lang.Object(IntList(EOC, matching3, NULL)), i384, o628, java.lang.Object(IntList(EOC, matching4, NULL))) → 1452_0_<init>_FieldAccess(EOS(STATIC_1452), java.lang.Object(IntList(EOC, i384, o665)), java.lang.Object(IntList(EOC, 0, NULL)), java.lang.Object(IntList(EOC, 0, NULL)), i384, o628, java.lang.Object(IntList(EOC, 0, NULL)), o628, java.lang.Object(IntList(EOC, 0, NULL)), i384) | &&(&&(&&(=(matching1, 0), =(matching2, 0)), =(matching3, 0)), =(matching4, 0))
1452_0_<init>_FieldAccess(EOS(STATIC_1452), java.lang.Object(IntList(EOC, i384, o665)), java.lang.Object(IntList(EOC, matching1, NULL)), java.lang.Object(IntList(EOC, matching2, NULL)), i384, o628, java.lang.Object(IntList(EOC, matching3, NULL)), o628, java.lang.Object(IntList(EOC, matching4, NULL)), i384) → 1456_0_<init>_Load(EOS(STATIC_1456), java.lang.Object(IntList(EOC, i384, o665)), java.lang.Object(IntList(EOC, i384, NULL)), java.lang.Object(IntList(EOC, i384, NULL)), i384, o628, java.lang.Object(IntList(EOC, i384, NULL)), o628) | &&(&&(&&(=(matching1, 0), =(matching2, 0)), =(matching3, 0)), =(matching4, 0))
1456_0_<init>_Load(EOS(STATIC_1456), java.lang.Object(IntList(EOC, i384, o665)), java.lang.Object(IntList(EOC, i384, NULL)), java.lang.Object(IntList(EOC, i384, NULL)), i384, o628, java.lang.Object(IntList(EOC, i384, NULL)), o628) → 1461_0_<init>_Load(EOS(STATIC_1461), java.lang.Object(IntList(EOC, i384, o665)), java.lang.Object(IntList(EOC, i384, NULL)), java.lang.Object(IntList(EOC, i384, NULL)), i384, o628, o628, java.lang.Object(IntList(EOC, i384, NULL)))
1461_0_<init>_Load(EOS(STATIC_1461), java.lang.Object(IntList(EOC, i384, o665)), java.lang.Object(IntList(EOC, i384, NULL)), java.lang.Object(IntList(EOC, i384, NULL)), i384, o628, o628, java.lang.Object(IntList(EOC, i384, NULL))) → 1465_0_<init>_FieldAccess(EOS(STATIC_1465), java.lang.Object(IntList(EOC, i384, o665)), java.lang.Object(IntList(EOC, i384, NULL)), java.lang.Object(IntList(EOC, i384, NULL)), i384, o628, java.lang.Object(IntList(EOC, i384, NULL)), o628)
1465_0_<init>_FieldAccess(EOS(STATIC_1465), java.lang.Object(IntList(EOC, i384, o665)), java.lang.Object(IntList(EOC, i384, NULL)), java.lang.Object(IntList(EOC, i384, NULL)), i384, o628, java.lang.Object(IntList(EOC, i384, NULL)), o628) → 1471_0_<init>_Return(EOS(STATIC_1471), java.lang.Object(IntList(EOC, i384, o665)), java.lang.Object(IntList(EOC, i384, o628)), java.lang.Object(IntList(EOC, i384, o628)), i384, o628)
1471_0_<init>_Return(EOS(STATIC_1471), java.lang.Object(IntList(EOC, i384, o665)), java.lang.Object(IntList(EOC, i384, o628)), java.lang.Object(IntList(EOC, i384, o628)), i384, o628) → 1477_0_main_Store(EOS(STATIC_1477), java.lang.Object(IntList(EOC, i384, o665)), java.lang.Object(IntList(EOC, i384, o628)))
1477_0_main_Store(EOS(STATIC_1477), java.lang.Object(IntList(EOC, i384, o665)), java.lang.Object(IntList(EOC, i384, o628))) → 1482_0_main_Load(EOS(STATIC_1482), java.lang.Object(IntList(EOC, i384, o665)), java.lang.Object(IntList(EOC, i384, o628)))
1482_0_main_Load(EOS(STATIC_1482), java.lang.Object(IntList(EOC, i384, o665)), java.lang.Object(IntList(EOC, i384, o628))) → 1489_0_main_FieldAccess(EOS(STATIC_1489), java.lang.Object(IntList(EOC, i384, o628)), java.lang.Object(IntList(EOC, i384, o665)))
1489_0_main_FieldAccess(EOS(STATIC_1489), java.lang.Object(IntList(EOC, i384, o628)), java.lang.Object(IntList(EOC, i384, o665))) → 1493_0_main_Store(EOS(STATIC_1493), java.lang.Object(IntList(EOC, i384, o628)), o665)
1493_0_main_Store(EOS(STATIC_1493), java.lang.Object(IntList(EOC, i384, o628)), o665) → 1497_0_main_Load(EOS(STATIC_1497), o665, java.lang.Object(IntList(EOC, i384, o628)))
1497_0_main_Load(EOS(STATIC_1497), o665, java.lang.Object(IntList(EOC, i384, o628))) → 1503_0_main_NULL(EOS(STATIC_1503), o665, java.lang.Object(IntList(EOC, i384, o628)), o665)
1503_0_main_NULL(EOS(STATIC_1503), java.lang.Object(o706sub), java.lang.Object(IntList(EOC, i384, o628)), java.lang.Object(o706sub)) → 1509_0_main_NULL(EOS(STATIC_1509), java.lang.Object(o706sub), java.lang.Object(IntList(EOC, i384, o628)), java.lang.Object(o706sub))
1503_0_main_NULL(EOS(STATIC_1503), NULL, java.lang.Object(IntList(EOC, i384, o628)), NULL) → 1510_0_main_NULL(EOS(STATIC_1510), NULL, java.lang.Object(IntList(EOC, i384, o628)), NULL)
1509_0_main_NULL(EOS(STATIC_1509), java.lang.Object(o706sub), java.lang.Object(IntList(EOC, i384, o628)), java.lang.Object(o706sub)) → 1513_0_main_Load(EOS(STATIC_1513), java.lang.Object(o706sub), java.lang.Object(IntList(EOC, i384, o628)))
1513_0_main_Load(EOS(STATIC_1513), java.lang.Object(o706sub), java.lang.Object(IntList(EOC, i384, o628))) → 1523_0_main_InvokeMethod(EOS(STATIC_1523), java.lang.Object(IntList(EOC, i384, o628)), java.lang.Object(o706sub))
1523_0_main_InvokeMethod(EOS(STATIC_1523), java.lang.Object(IntList(EOC, i384, o628)), java.lang.Object(o706sub)) → 1530_1_main_InvokeMethod(1530_0_reverse_ConstantStackPush(EOS(STATIC_1530), java.lang.Object(o706sub)), java.lang.Object(IntList(EOC, i384, o628)), java.lang.Object(o706sub))
1530_1_main_InvokeMethod(1705_0_reverse_Return(EOS(STATIC_1705), o816), java.lang.Object(IntList(EOC, i384, o628)), java.lang.Object(o829sub)) → 1718_0_reverse_Return(EOS(STATIC_1718), java.lang.Object(IntList(EOC, i384, o628)), java.lang.Object(o829sub), o816)
1718_0_reverse_Return(EOS(STATIC_1718), java.lang.Object(IntList(EOC, i384, o628)), java.lang.Object(o829sub), o816) → 1723_0_main_Store(EOS(STATIC_1723), java.lang.Object(IntList(EOC, i384, o628)), o816)
1723_0_main_Store(EOS(STATIC_1723), java.lang.Object(IntList(EOC, i384, o628)), o816) → 1728_0_main_JMP(EOS(STATIC_1728), o816, java.lang.Object(IntList(EOC, i384, o628)))
1728_0_main_JMP(EOS(STATIC_1728), o816, java.lang.Object(IntList(EOC, i384, o628))) → 1734_0_main_Load(EOS(STATIC_1734), o816, java.lang.Object(IntList(EOC, i384, o628)))
1367_0_main_Load(EOS(STATIC_1367), o627, o628) → 1377_0_main_NULL(EOS(STATIC_1377), o627, o628, o627)
1510_0_main_NULL(EOS(STATIC_1510), NULL, java.lang.Object(IntList(EOC, i384, o628)), NULL) → 1516_0_main_Load(EOS(STATIC_1516), NULL, java.lang.Object(IntList(EOC, i384, o628)))
R rules:
1530_0_reverse_ConstantStackPush(EOS(STATIC_1530), java.lang.Object(o706sub)) → 1536_0_reverse_ConstantStackPush(EOS(STATIC_1536), java.lang.Object(o706sub))
1536_0_reverse_ConstantStackPush(EOS(STATIC_1536), java.lang.Object(o706sub)) → 1551_0_reverse_ConstantStackPush(EOS(STATIC_1551), java.lang.Object(o706sub))
1551_0_reverse_ConstantStackPush(EOS(STATIC_1551), java.lang.Object(o706sub)) → 1556_0_reverse_Store(EOS(STATIC_1556), java.lang.Object(o706sub), NULL)
1556_0_reverse_Store(EOS(STATIC_1556), java.lang.Object(o706sub), NULL) → 1564_0_reverse_Load(EOS(STATIC_1564), java.lang.Object(o706sub), NULL)
1564_0_reverse_Load(EOS(STATIC_1564), java.lang.Object(o706sub), NULL) → 1570_0_reverse_Store(EOS(STATIC_1570), NULL, java.lang.Object(o706sub))
1570_0_reverse_Store(EOS(STATIC_1570), NULL, java.lang.Object(o706sub)) → 1578_0_reverse_Load(EOS(STATIC_1578), NULL, java.lang.Object(o706sub))
1693_0_reverse_Load(EOS(STATIC_1693), o816, o817) → 1696_0_reverse_NULL(EOS(STATIC_1696), o816, o817, o817)
1696_0_reverse_NULL(EOS(STATIC_1696), o816, java.lang.Object(o826sub), java.lang.Object(o826sub)) → 1698_0_reverse_NULL(EOS(STATIC_1698), o816, java.lang.Object(o826sub), java.lang.Object(o826sub))
1696_0_reverse_NULL(EOS(STATIC_1696), o816, NULL, NULL) → 1699_0_reverse_NULL(EOS(STATIC_1699), o816, NULL, NULL)
1698_0_reverse_NULL(EOS(STATIC_1698), o816, java.lang.Object(o826sub), java.lang.Object(o826sub)) → 1701_0_reverse_New(EOS(STATIC_1701), o816, java.lang.Object(o826sub))
1699_0_reverse_NULL(EOS(STATIC_1699), o816, NULL, NULL) → 1702_0_reverse_Load(EOS(STATIC_1702), o816)
1701_0_reverse_New(EOS(STATIC_1701), o816, java.lang.Object(o826sub)) → 1704_0_reverse_Duplicate(EOS(STATIC_1704), o816, java.lang.Object(o826sub), java.lang.Object(IntList(EOC, 0, NULL)))
1704_0_reverse_Duplicate(EOS(STATIC_1704), o816, java.lang.Object(o826sub), java.lang.Object(IntList(EOC, matching1, NULL))) → 1707_0_reverse_Load(EOS(STATIC_1707), o816, java.lang.Object(o826sub), java.lang.Object(IntList(EOC, 0, NULL)), java.lang.Object(IntList(EOC, 0, NULL))) | =(matching1, 0)
1707_0_reverse_Load(EOS(STATIC_1707), o816, java.lang.Object(o826sub), java.lang.Object(IntList(EOC, matching1, NULL)), java.lang.Object(IntList(EOC, matching2, NULL))) → 1711_0_reverse_FieldAccess(EOS(STATIC_1711), o816, java.lang.Object(o826sub), java.lang.Object(IntList(EOC, 0, NULL)), java.lang.Object(IntList(EOC, 0, NULL)), java.lang.Object(o826sub)) | &&(=(matching1, 0), =(matching2, 0))
1711_0_reverse_FieldAccess(EOS(STATIC_1711), o816, java.lang.Object(o826sub), java.lang.Object(IntList(EOC, matching1, NULL)), java.lang.Object(IntList(EOC, matching2, NULL)), java.lang.Object(o826sub)) → 1716_0_reverse_FieldAccess(EOS(STATIC_1716), o816, java.lang.Object(o826sub), java.lang.Object(IntList(EOC, 0, NULL)), java.lang.Object(IntList(EOC, 0, NULL)), java.lang.Object(o826sub)) | &&(=(matching1, 0), =(matching2, 0))
1711_0_reverse_FieldAccess(EOS(STATIC_1711), o816, java.lang.Object(o814sub), java.lang.Object(IntList(EOC, matching1, NULL)), java.lang.Object(IntList(EOC, matching2, NULL)), java.lang.Object(o814sub)) → 1717_0_reverse_FieldAccess(EOS(STATIC_1717), o816, java.lang.Object(o814sub), java.lang.Object(IntList(EOC, 0, NULL)), java.lang.Object(IntList(EOC, 0, NULL)), java.lang.Object(o814sub)) | &&(=(matching1, 0), =(matching2, 0))
1716_0_reverse_FieldAccess(EOS(STATIC_1716), o816, java.lang.Object(IntList(EOC, i487, o832)), java.lang.Object(IntList(EOC, matching1, NULL)), java.lang.Object(IntList(EOC, matching2, NULL)), java.lang.Object(IntList(EOC, i487, o832))) → 1720_0_reverse_FieldAccess(EOS(STATIC_1720), o816, java.lang.Object(IntList(EOC, i487, o832)), java.lang.Object(IntList(EOC, 0, NULL)), java.lang.Object(IntList(EOC, 0, NULL)), java.lang.Object(IntList(EOC, i487, o832))) | &&(=(matching1, 0), =(matching2, 0))
1717_0_reverse_FieldAccess(EOS(STATIC_1717), o816, java.lang.Object(IntList(EOC, i488, o834)), java.lang.Object(IntList(EOC, matching1, NULL)), java.lang.Object(IntList(EOC, matching2, NULL)), java.lang.Object(IntList(EOC, i488, o834))) → 1722_0_reverse_FieldAccess(EOS(STATIC_1722), o816, java.lang.Object(IntList(EOC, i488, o834)), java.lang.Object(IntList(EOC, 0, NULL)), java.lang.Object(IntList(EOC, 0, NULL)), java.lang.Object(IntList(EOC, i488, o834))) | &&(=(matching1, 0), =(matching2, 0))
1720_0_reverse_FieldAccess(EOS(STATIC_1720), o816, java.lang.Object(IntList(EOC, i487, o832)), java.lang.Object(IntList(EOC, matching1, NULL)), java.lang.Object(IntList(EOC, matching2, NULL)), java.lang.Object(IntList(EOC, i487, o832))) → 1725_0_reverse_Load(EOS(STATIC_1725), o816, java.lang.Object(IntList(EOC, i487, o832)), java.lang.Object(IntList(EOC, 0, NULL)), java.lang.Object(IntList(EOC, 0, NULL)), i487) | &&(=(matching1, 0), =(matching2, 0))
1722_0_reverse_FieldAccess(EOS(STATIC_1722), o816, java.lang.Object(IntList(EOC, i488, o834)), java.lang.Object(IntList(EOC, matching1, NULL)), java.lang.Object(IntList(EOC, matching2, NULL)), java.lang.Object(IntList(EOC, i488, o834))) → 1727_0_reverse_Load(EOS(STATIC_1727), o816, java.lang.Object(IntList(EOC, i488, o834)), java.lang.Object(IntList(EOC, 0, NULL)), java.lang.Object(IntList(EOC, 0, NULL)), i488) | &&(=(matching1, 0), =(matching2, 0))
1725_0_reverse_Load(EOS(STATIC_1725), o816, java.lang.Object(IntList(EOC, i487, o832)), java.lang.Object(IntList(EOC, matching1, NULL)), java.lang.Object(IntList(EOC, matching2, NULL)), i487) → 1730_0_reverse_InvokeMethod(EOS(STATIC_1730), java.lang.Object(IntList(EOC, i487, o832)), java.lang.Object(IntList(EOC, 0, NULL)), java.lang.Object(IntList(EOC, 0, NULL)), i487, o816) | &&(=(matching1, 0), =(matching2, 0))
1727_0_reverse_Load(EOS(STATIC_1727), o816, java.lang.Object(IntList(EOC, i488, o834)), java.lang.Object(IntList(EOC, matching1, NULL)), java.lang.Object(IntList(EOC, matching2, NULL)), i488) → 1732_0_reverse_InvokeMethod(EOS(STATIC_1732), java.lang.Object(IntList(EOC, i488, o834)), java.lang.Object(IntList(EOC, 0, NULL)), java.lang.Object(IntList(EOC, 0, NULL)), i488, o816) | &&(=(matching1, 0), =(matching2, 0))
1730_0_reverse_InvokeMethod(EOS(STATIC_1730), java.lang.Object(IntList(EOC, i487, o832)), java.lang.Object(IntList(EOC, matching1, NULL)), java.lang.Object(IntList(EOC, matching2, NULL)), i487, o816) → 1736_0_<init>_Load(EOS(STATIC_1736), java.lang.Object(IntList(EOC, i487, o832)), java.lang.Object(IntList(EOC, 0, NULL)), java.lang.Object(IntList(EOC, 0, NULL)), i487, o816, java.lang.Object(IntList(EOC, 0, NULL)), i487, o816) | &&(=(matching1, 0), =(matching2, 0))
1732_0_reverse_InvokeMethod(EOS(STATIC_1732), java.lang.Object(IntList(EOC, i488, o834)), java.lang.Object(IntList(EOC, matching1, NULL)), java.lang.Object(IntList(EOC, matching2, NULL)), i488, o816) → 1737_0_<init>_Load(EOS(STATIC_1737), java.lang.Object(IntList(EOC, i488, o834)), java.lang.Object(IntList(EOC, 0, NULL)), java.lang.Object(IntList(EOC, 0, NULL)), i488, o816, java.lang.Object(IntList(EOC, 0, NULL)), i488, o816) | &&(=(matching1, 0), =(matching2, 0))
1736_0_<init>_Load(EOS(STATIC_1736), java.lang.Object(IntList(EOC, i487, o832)), java.lang.Object(IntList(EOC, matching1, NULL)), java.lang.Object(IntList(EOC, matching2, NULL)), i487, o816, java.lang.Object(IntList(EOC, matching3, NULL)), i487, o816) → 1739_0_<init>_InvokeMethod(EOS(STATIC_1739), java.lang.Object(IntList(EOC, i487, o832)), java.lang.Object(IntList(EOC, 0, NULL)), java.lang.Object(IntList(EOC, 0, NULL)), i487, o816, java.lang.Object(IntList(EOC, 0, NULL)), i487, o816, java.lang.Object(IntList(EOC, 0, NULL))) | &&(&&(=(matching1, 0), =(matching2, 0)), =(matching3, 0))
1737_0_<init>_Load(EOS(STATIC_1737), java.lang.Object(IntList(EOC, i488, o834)), java.lang.Object(IntList(EOC, matching1, NULL)), java.lang.Object(IntList(EOC, matching2, NULL)), i488, o816, java.lang.Object(IntList(EOC, matching3, NULL)), i488, o816) → 1741_0_<init>_InvokeMethod(EOS(STATIC_1741), java.lang.Object(IntList(EOC, i488, o834)), java.lang.Object(IntList(EOC, 0, NULL)), java.lang.Object(IntList(EOC, 0, NULL)), i488, o816, java.lang.Object(IntList(EOC, 0, NULL)), i488, o816, java.lang.Object(IntList(EOC, 0, NULL))) | &&(&&(=(matching1, 0), =(matching2, 0)), =(matching3, 0))
1739_0_<init>_InvokeMethod(EOS(STATIC_1739), java.lang.Object(IntList(EOC, i487, o832)), java.lang.Object(IntList(EOC, matching1, NULL)), java.lang.Object(IntList(EOC, matching2, NULL)), i487, o816, java.lang.Object(IntList(EOC, matching3, NULL)), i487, o816, java.lang.Object(IntList(EOC, matching4, NULL))) → 1743_0_<init>_Load(EOS(STATIC_1743), java.lang.Object(IntList(EOC, i487, o832)), java.lang.Object(IntList(EOC, 0, NULL)), java.lang.Object(IntList(EOC, 0, NULL)), i487, o816, java.lang.Object(IntList(EOC, 0, NULL)), i487, o816) | &&(&&(&&(=(matching1, 0), =(matching2, 0)), =(matching3, 0)), =(matching4, 0))
1741_0_<init>_InvokeMethod(EOS(STATIC_1741), java.lang.Object(IntList(EOC, i488, o834)), java.lang.Object(IntList(EOC, matching1, NULL)), java.lang.Object(IntList(EOC, matching2, NULL)), i488, o816, java.lang.Object(IntList(EOC, matching3, NULL)), i488, o816, java.lang.Object(IntList(EOC, matching4, NULL))) → 1744_0_<init>_Load(EOS(STATIC_1744), java.lang.Object(IntList(EOC, i488, o834)), java.lang.Object(IntList(EOC, 0, NULL)), java.lang.Object(IntList(EOC, 0, NULL)), i488, o816, java.lang.Object(IntList(EOC, 0, NULL)), i488, o816) | &&(&&(&&(=(matching1, 0), =(matching2, 0)), =(matching3, 0)), =(matching4, 0))
1743_0_<init>_Load(EOS(STATIC_1743), java.lang.Object(IntList(EOC, i487, o832)), java.lang.Object(IntList(EOC, matching1, NULL)), java.lang.Object(IntList(EOC, matching2, NULL)), i487, o816, java.lang.Object(IntList(EOC, matching3, NULL)), i487, o816) → 1746_0_<init>_Load(EOS(STATIC_1746), java.lang.Object(IntList(EOC, i487, o832)), java.lang.Object(IntList(EOC, 0, NULL)), java.lang.Object(IntList(EOC, 0, NULL)), i487, o816, java.lang.Object(IntList(EOC, 0, NULL)), i487, o816, java.lang.Object(IntList(EOC, 0, NULL))) | &&(&&(=(matching1, 0), =(matching2, 0)), =(matching3, 0))
1744_0_<init>_Load(EOS(STATIC_1744), java.lang.Object(IntList(EOC, i488, o834)), java.lang.Object(IntList(EOC, matching1, NULL)), java.lang.Object(IntList(EOC, matching2, NULL)), i488, o816, java.lang.Object(IntList(EOC, matching3, NULL)), i488, o816) → 1748_0_<init>_Load(EOS(STATIC_1748), java.lang.Object(IntList(EOC, i488, o834)), java.lang.Object(IntList(EOC, 0, NULL)), java.lang.Object(IntList(EOC, 0, NULL)), i488, o816, java.lang.Object(IntList(EOC, 0, NULL)), i488, o816, java.lang.Object(IntList(EOC, 0, NULL))) | &&(&&(=(matching1, 0), =(matching2, 0)), =(matching3, 0))
1746_0_<init>_Load(EOS(STATIC_1746), java.lang.Object(IntList(EOC, i487, o832)), java.lang.Object(IntList(EOC, matching1, NULL)), java.lang.Object(IntList(EOC, matching2, NULL)), i487, o816, java.lang.Object(IntList(EOC, matching3, NULL)), i487, o816, java.lang.Object(IntList(EOC, matching4, NULL))) → 1750_0_<init>_FieldAccess(EOS(STATIC_1750), java.lang.Object(IntList(EOC, i487, o832)), java.lang.Object(IntList(EOC, 0, NULL)), java.lang.Object(IntList(EOC, 0, NULL)), i487, o816, java.lang.Object(IntList(EOC, 0, NULL)), o816, java.lang.Object(IntList(EOC, 0, NULL)), i487) | &&(&&(&&(=(matching1, 0), =(matching2, 0)), =(matching3, 0)), =(matching4, 0))
1748_0_<init>_Load(EOS(STATIC_1748), java.lang.Object(IntList(EOC, i488, o834)), java.lang.Object(IntList(EOC, matching1, NULL)), java.lang.Object(IntList(EOC, matching2, NULL)), i488, o816, java.lang.Object(IntList(EOC, matching3, NULL)), i488, o816, java.lang.Object(IntList(EOC, matching4, NULL))) → 1751_0_<init>_FieldAccess(EOS(STATIC_1751), java.lang.Object(IntList(EOC, i488, o834)), java.lang.Object(IntList(EOC, 0, NULL)), java.lang.Object(IntList(EOC, 0, NULL)), i488, o816, java.lang.Object(IntList(EOC, 0, NULL)), o816, java.lang.Object(IntList(EOC, 0, NULL)), i488) | &&(&&(&&(=(matching1, 0), =(matching2, 0)), =(matching3, 0)), =(matching4, 0))
1750_0_<init>_FieldAccess(EOS(STATIC_1750), java.lang.Object(IntList(EOC, i487, o832)), java.lang.Object(IntList(EOC, matching1, NULL)), java.lang.Object(IntList(EOC, matching2, NULL)), i487, o816, java.lang.Object(IntList(EOC, matching3, NULL)), o816, java.lang.Object(IntList(EOC, matching4, NULL)), i487) → 1753_0_<init>_Load(EOS(STATIC_1753), java.lang.Object(IntList(EOC, i487, o832)), java.lang.Object(IntList(EOC, i487, NULL)), java.lang.Object(IntList(EOC, i487, NULL)), i487, o816, java.lang.Object(IntList(EOC, i487, NULL)), o816) | &&(&&(&&(=(matching1, 0), =(matching2, 0)), =(matching3, 0)), =(matching4, 0))
1751_0_<init>_FieldAccess(EOS(STATIC_1751), java.lang.Object(IntList(EOC, i488, o834)), java.lang.Object(IntList(EOC, matching1, NULL)), java.lang.Object(IntList(EOC, matching2, NULL)), i488, o816, java.lang.Object(IntList(EOC, matching3, NULL)), o816, java.lang.Object(IntList(EOC, matching4, NULL)), i488) → 1755_0_<init>_Load(EOS(STATIC_1755), java.lang.Object(IntList(EOC, i488, o834)), java.lang.Object(IntList(EOC, i488, NULL)), java.lang.Object(IntList(EOC, i488, NULL)), i488, o816, java.lang.Object(IntList(EOC, i488, NULL)), o816) | &&(&&(&&(=(matching1, 0), =(matching2, 0)), =(matching3, 0)), =(matching4, 0))
1753_0_<init>_Load(EOS(STATIC_1753), java.lang.Object(IntList(EOC, i487, o832)), java.lang.Object(IntList(EOC, i487, NULL)), java.lang.Object(IntList(EOC, i487, NULL)), i487, o816, java.lang.Object(IntList(EOC, i487, NULL)), o816) → 1756_0_<init>_Load(EOS(STATIC_1756), java.lang.Object(IntList(EOC, i487, o832)), java.lang.Object(IntList(EOC, i487, NULL)), java.lang.Object(IntList(EOC, i487, NULL)), i487, o816, o816, java.lang.Object(IntList(EOC, i487, NULL)))
1755_0_<init>_Load(EOS(STATIC_1755), java.lang.Object(IntList(EOC, i488, o834)), java.lang.Object(IntList(EOC, i488, NULL)), java.lang.Object(IntList(EOC, i488, NULL)), i488, o816, java.lang.Object(IntList(EOC, i488, NULL)), o816) → 1757_0_<init>_Load(EOS(STATIC_1757), java.lang.Object(IntList(EOC, i488, o834)), java.lang.Object(IntList(EOC, i488, NULL)), java.lang.Object(IntList(EOC, i488, NULL)), i488, o816, o816, java.lang.Object(IntList(EOC, i488, NULL)))
1756_0_<init>_Load(EOS(STATIC_1756), java.lang.Object(IntList(EOC, i487, o832)), java.lang.Object(IntList(EOC, i487, NULL)), java.lang.Object(IntList(EOC, i487, NULL)), i487, o816, o816, java.lang.Object(IntList(EOC, i487, NULL))) → 1758_0_<init>_FieldAccess(EOS(STATIC_1758), java.lang.Object(IntList(EOC, i487, o832)), java.lang.Object(IntList(EOC, i487, NULL)), java.lang.Object(IntList(EOC, i487, NULL)), i487, o816, java.lang.Object(IntList(EOC, i487, NULL)), o816)
1757_0_<init>_Load(EOS(STATIC_1757), java.lang.Object(IntList(EOC, i488, o834)), java.lang.Object(IntList(EOC, i488, NULL)), java.lang.Object(IntList(EOC, i488, NULL)), i488, o816, o816, java.lang.Object(IntList(EOC, i488, NULL))) → 1760_0_<init>_FieldAccess(EOS(STATIC_1760), java.lang.Object(IntList(EOC, i488, o834)), java.lang.Object(IntList(EOC, i488, NULL)), java.lang.Object(IntList(EOC, i488, NULL)), i488, o816, java.lang.Object(IntList(EOC, i488, NULL)), o816)
1758_0_<init>_FieldAccess(EOS(STATIC_1758), java.lang.Object(IntList(EOC, i487, o832)), java.lang.Object(IntList(EOC, i487, NULL)), java.lang.Object(IntList(EOC, i487, NULL)), i487, o816, java.lang.Object(IntList(EOC, i487, NULL)), o816) → 1762_0_<init>_Return(EOS(STATIC_1762), java.lang.Object(IntList(EOC, i487, o832)), java.lang.Object(IntList(EOC, i487, o816)), java.lang.Object(IntList(EOC, i487, o816)), i487, o816)
1760_0_<init>_FieldAccess(EOS(STATIC_1760), java.lang.Object(IntList(EOC, i488, o834)), java.lang.Object(IntList(EOC, i488, NULL)), java.lang.Object(IntList(EOC, i488, NULL)), i488, o816, java.lang.Object(IntList(EOC, i488, NULL)), o816) → 1765_0_<init>_Return(EOS(STATIC_1765), java.lang.Object(IntList(EOC, i488, o834)), java.lang.Object(IntList(EOC, i488, o816)), java.lang.Object(IntList(EOC, i488, o816)), i488, o816)
1762_0_<init>_Return(EOS(STATIC_1762), java.lang.Object(IntList(EOC, i487, o832)), java.lang.Object(IntList(EOC, i487, o816)), java.lang.Object(IntList(EOC, i487, o816)), i487, o816) → 1767_0_reverse_Store(EOS(STATIC_1767), java.lang.Object(IntList(EOC, i487, o832)), java.lang.Object(IntList(EOC, i487, o816)))
1765_0_<init>_Return(EOS(STATIC_1765), java.lang.Object(IntList(EOC, i488, o834)), java.lang.Object(IntList(EOC, i488, o816)), java.lang.Object(IntList(EOC, i488, o816)), i488, o816) → 1768_0_reverse_Store(EOS(STATIC_1768), java.lang.Object(IntList(EOC, i488, o834)), java.lang.Object(IntList(EOC, i488, o816)))
1767_0_reverse_Store(EOS(STATIC_1767), java.lang.Object(IntList(EOC, i487, o832)), java.lang.Object(IntList(EOC, i487, o816))) → 1770_0_reverse_Load(EOS(STATIC_1770), java.lang.Object(IntList(EOC, i487, o816)), java.lang.Object(IntList(EOC, i487, o832)))
1768_0_reverse_Store(EOS(STATIC_1768), java.lang.Object(IntList(EOC, i488, o834)), java.lang.Object(IntList(EOC, i488, o816))) → 1772_0_reverse_Load(EOS(STATIC_1772), java.lang.Object(IntList(EOC, i488, o816)), java.lang.Object(IntList(EOC, i488, o834)))
1770_0_reverse_Load(EOS(STATIC_1770), java.lang.Object(IntList(EOC, i487, o816)), java.lang.Object(IntList(EOC, i487, o832))) → 1773_0_reverse_FieldAccess(EOS(STATIC_1773), java.lang.Object(IntList(EOC, i487, o816)), java.lang.Object(IntList(EOC, i487, o832)))
1772_0_reverse_Load(EOS(STATIC_1772), java.lang.Object(IntList(EOC, i488, o816)), java.lang.Object(IntList(EOC, i488, o834))) → 1775_0_reverse_FieldAccess(EOS(STATIC_1775), java.lang.Object(IntList(EOC, i488, o816)), java.lang.Object(IntList(EOC, i488, o834)))
1773_0_reverse_FieldAccess(EOS(STATIC_1773), java.lang.Object(IntList(EOC, i487, o816)), java.lang.Object(IntList(EOC, i487, o832))) → 1777_0_reverse_Store(EOS(STATIC_1777), java.lang.Object(IntList(EOC, i487, o816)), o832)
1775_0_reverse_FieldAccess(EOS(STATIC_1775), java.lang.Object(IntList(EOC, i488, o816)), java.lang.Object(IntList(EOC, i488, o834))) → 1778_0_reverse_Store(EOS(STATIC_1778), java.lang.Object(IntList(EOC, i488, o816)), o834)
1777_0_reverse_Store(EOS(STATIC_1777), java.lang.Object(IntList(EOC, i487, o816)), o832) → 1780_0_reverse_JMP(EOS(STATIC_1780), java.lang.Object(IntList(EOC, i487, o816)), o832)
1778_0_reverse_Store(EOS(STATIC_1778), java.lang.Object(IntList(EOC, i488, o816)), o834) → 1781_0_reverse_JMP(EOS(STATIC_1781), java.lang.Object(IntList(EOC, i488, o816)), o834)
1780_0_reverse_JMP(EOS(STATIC_1780), java.lang.Object(IntList(EOC, i487, o816)), o832) → 1783_0_reverse_Load(EOS(STATIC_1783), java.lang.Object(IntList(EOC, i487, o816)), o832)
1781_0_reverse_JMP(EOS(STATIC_1781), java.lang.Object(IntList(EOC, i488, o816)), o834) → 1786_0_reverse_Load(EOS(STATIC_1786), java.lang.Object(IntList(EOC, i488, o816)), o834)

Combined rules. Obtained 3 conditional rules for P and 3 conditional rules for R.

P rules:
1377_0_main_NULL(EOS(STATIC_1377), java.lang.Object(IntList(EOC, x0, java.lang.Object(x1))), x2, java.lang.Object(IntList(EOC, x0, java.lang.Object(x1)))) → 1530_1_main_InvokeMethod(1530_0_reverse_ConstantStackPush(EOS(STATIC_1530), java.lang.Object(x1)), java.lang.Object(IntList(EOC, x0, x2)), java.lang.Object(x1))
1530_1_main_InvokeMethod(1705_0_reverse_Return(EOS(STATIC_1705), x0), java.lang.Object(IntList(EOC, x1, x2)), java.lang.Object(x3)) → 1377_0_main_NULL(EOS(STATIC_1377), x0, java.lang.Object(IntList(EOC, x1, x2)), x0)
1377_0_main_NULL(EOS(STATIC_1377), java.lang.Object(IntList(EOC, x0, NULL)), x1, java.lang.Object(IntList(EOC, x0, NULL))) → 1377_0_main_NULL(EOS(STATIC_1377), NULL, java.lang.Object(IntList(EOC, x0, x1)), NULL)
R rules:
1530_0_reverse_ConstantStackPush(EOS(STATIC_1530), java.lang.Object(x0)) → 1696_0_reverse_NULL(EOS(STATIC_1696), NULL, java.lang.Object(x0), java.lang.Object(x0))
1696_0_reverse_NULL(EOS(STATIC_1696), x0, NULL, NULL) → 1705_0_reverse_Return(EOS(STATIC_1705), x0)
1696_0_reverse_NULL(EOS(STATIC_1696), x0, java.lang.Object(IntList(EOC, x1, x2)), java.lang.Object(IntList(EOC, x1, x2))) → 1696_0_reverse_NULL(EOS(STATIC_1696), java.lang.Object(IntList(EOC, x1, x0)), x2, x2)

Filtered ground terms:

1377_0_main_NULL(x1, x2, x3, x4) → 1377_0_main_NULL(x2, x3, x4)
IntList(x1, x2, x3) → IntList(x2, x3)
1705_0_reverse_Return(x1, x2) → 1705_0_reverse_Return(x2)
1530_0_reverse_ConstantStackPush(x1, x2) → 1530_0_reverse_ConstantStackPush(x2)
1696_0_reverse_NULL(x1, x2, x3, x4) → 1696_0_reverse_NULL(x2, x3, x4)

Filtered duplicate args:

1377_0_main_NULL(x1, x2, x3) → 1377_0_main_NULL(x2, x3)
1696_0_reverse_NULL(x1, x2, x3) → 1696_0_reverse_NULL(x1, x3)

Filtered unneeded arguments:

1377_0_main_NULL(x1, x2) → 1377_0_main_NULL(x2)
IntList(x1, x2) → IntList(x2)
1530_1_main_InvokeMethod(x1, x2, x3) → 1530_1_main_InvokeMethod(x1)

Combined rules. Obtained 3 conditional rules for P and 3 conditional rules for R.

P rules:
1377_0_main_NULL(java.lang.Object(IntList(java.lang.Object(x1)))) → 1530_1_main_InvokeMethod(1530_0_reverse_ConstantStackPush(java.lang.Object(x1)))
1530_1_main_InvokeMethod(1705_0_reverse_Return(x0)) → 1377_0_main_NULL(x0)
1377_0_main_NULL(java.lang.Object(IntList(NULL))) → 1377_0_main_NULL(NULL)
R rules:
1530_0_reverse_ConstantStackPush(java.lang.Object(x0)) → 1696_0_reverse_NULL(NULL, java.lang.Object(x0))
1696_0_reverse_NULL(x0, NULL) → 1705_0_reverse_Return(x0)
1696_0_reverse_NULL(x0, java.lang.Object(IntList(x2))) → 1696_0_reverse_NULL(java.lang.Object(IntList(x0)), x2)

Finished conversion. Obtained 3 rules for P and 3 rules for R. System has no predefined symbols.

P rules:
1377_0_MAIN_NULL(java.lang.Object(IntList(java.lang.Object(x1)))) → 1530_1_MAIN_INVOKEMETHOD(1530_0_reverse_ConstantStackPush(java.lang.Object(x1)))
1530_1_MAIN_INVOKEMETHOD(1705_0_reverse_Return(x0)) → 1377_0_MAIN_NULL(x0)
1377_0_MAIN_NULL(java.lang.Object(IntList(NULL))) → 1377_0_MAIN_NULL(NULL)
R rules:
1530_0_reverse_ConstantStackPush(java.lang.Object(x0)) → 1696_0_reverse_NULL(NULL, java.lang.Object(x0))
1696_0_reverse_NULL(x0, NULL) → 1705_0_reverse_Return(x0)
1696_0_reverse_NULL(x0, java.lang.Object(IntList(x2))) → 1696_0_reverse_NULL(java.lang.Object(IntList(x0)), x2)

(25) Obligation:

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

The following domains are used:
none

The ITRS R consists of the following rules:
1530_0_reverse_ConstantStackPush(java.lang.Object(x0)) → 1696_0_reverse_NULL(NULL, java.lang.Object(x0))
1696_0_reverse_NULL(x0, NULL) → 1705_0_reverse_Return(x0)
1696_0_reverse_NULL(x0, java.lang.Object(IntList(x2))) → 1696_0_reverse_NULL(java.lang.Object(IntList(x0)), x2)

The integer pair graph contains the following rules and edges:
(0): 1377_0_MAIN_NULL(java.lang.Object(IntList(java.lang.Object(x1[0])))) → 1530_1_MAIN_INVOKEMETHOD(1530_0_reverse_ConstantStackPush(java.lang.Object(x1[0])))
(1): 1530_1_MAIN_INVOKEMETHOD(1705_0_reverse_Return(x0[1])) → 1377_0_MAIN_NULL(x0[1])
(2): 1377_0_MAIN_NULL(java.lang.Object(IntList(NULL))) → 1377_0_MAIN_NULL(NULL)

(0) -> (1), if (1530_0_reverse_ConstantStackPush(java.lang.Object(x1[0])) →* 1705_0_reverse_Return(x0[1]))

(1) -> (0), if (x0[1]* java.lang.Object(IntList(java.lang.Object(x1[0]))))

(1) -> (2), if (x0[1]* java.lang.Object(IntList(NULL)))

(2) -> (0), if (NULL* java.lang.Object(IntList(java.lang.Object(x1[0]))))

(2) -> (2), if (NULL* java.lang.Object(IntList(NULL)))

The set Q consists of the following terms:
1530_0_reverse_ConstantStackPush(java.lang.Object(x0))
1696_0_reverse_NULL(x0, NULL)
1696_0_reverse_NULL(x0, java.lang.Object(IntList(x1)))

(26) IDPtoQDPProof (SOUND transformation)

Represented integers and predefined function symbols by Terms

(27) Obligation:

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

1377_0_MAIN_NULL(java.lang.Object(IntList(java.lang.Object(x1[0])))) → 1530_1_MAIN_INVOKEMETHOD(1530_0_reverse_ConstantStackPush(java.lang.Object(x1[0])))
1530_1_MAIN_INVOKEMETHOD(1705_0_reverse_Return(x0[1])) → 1377_0_MAIN_NULL(x0[1])
1377_0_MAIN_NULL(java.lang.Object(IntList(NULL))) → 1377_0_MAIN_NULL(NULL)

The TRS R consists of the following rules:

1530_0_reverse_ConstantStackPush(java.lang.Object(x0)) → 1696_0_reverse_NULL(NULL, java.lang.Object(x0))
1696_0_reverse_NULL(x0, NULL) → 1705_0_reverse_Return(x0)
1696_0_reverse_NULL(x0, java.lang.Object(IntList(x2))) → 1696_0_reverse_NULL(java.lang.Object(IntList(x0)), x2)

The set Q consists of the following terms:

1530_0_reverse_ConstantStackPush(java.lang.Object(x0))
1696_0_reverse_NULL(x0, NULL)
1696_0_reverse_NULL(x0, java.lang.Object(IntList(x1)))

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

(28) DependencyGraphProof (EQUIVALENT transformation)

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

(29) Obligation:

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

1530_1_MAIN_INVOKEMETHOD(1705_0_reverse_Return(x0[1])) → 1377_0_MAIN_NULL(x0[1])
1377_0_MAIN_NULL(java.lang.Object(IntList(java.lang.Object(x1[0])))) → 1530_1_MAIN_INVOKEMETHOD(1530_0_reverse_ConstantStackPush(java.lang.Object(x1[0])))

The TRS R consists of the following rules:

1530_0_reverse_ConstantStackPush(java.lang.Object(x0)) → 1696_0_reverse_NULL(NULL, java.lang.Object(x0))
1696_0_reverse_NULL(x0, NULL) → 1705_0_reverse_Return(x0)
1696_0_reverse_NULL(x0, java.lang.Object(IntList(x2))) → 1696_0_reverse_NULL(java.lang.Object(IntList(x0)), x2)

The set Q consists of the following terms:

1530_0_reverse_ConstantStackPush(java.lang.Object(x0))
1696_0_reverse_NULL(x0, NULL)
1696_0_reverse_NULL(x0, java.lang.Object(IntList(x1)))

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

(30) MRRProof (EQUIVALENT transformation)

By using the rule removal processor [LPAR04] with the following ordering, at least one Dependency Pair or term rewrite system rule of this QDP problem can be strictly oriented.

Strictly oriented rules of the TRS R:

1530_0_reverse_ConstantStackPush(java.lang.Object(x0)) → 1696_0_reverse_NULL(NULL, java.lang.Object(x0))

Used ordering: Polynomial interpretation [POLO]:

POL(1377_0_MAIN_NULL(x1)) = 2·x1
POL(1530_0_reverse_ConstantStackPush(x1)) = 2 + x1
POL(1530_1_MAIN_INVOKEMETHOD(x1)) = 2·x1
POL(1696_0_reverse_NULL(x1, x2)) = x1 + x2
POL(1705_0_reverse_Return(x1)) = x1
POL(IntList(x1)) = 2 + x1
POL(NULL) = 0
POL(java.lang.Object(x1)) = x1

(31) Obligation:

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

1530_1_MAIN_INVOKEMETHOD(1705_0_reverse_Return(x0[1])) → 1377_0_MAIN_NULL(x0[1])
1377_0_MAIN_NULL(java.lang.Object(IntList(java.lang.Object(x1[0])))) → 1530_1_MAIN_INVOKEMETHOD(1530_0_reverse_ConstantStackPush(java.lang.Object(x1[0])))

The TRS R consists of the following rules:

1696_0_reverse_NULL(x0, NULL) → 1705_0_reverse_Return(x0)
1696_0_reverse_NULL(x0, java.lang.Object(IntList(x2))) → 1696_0_reverse_NULL(java.lang.Object(IntList(x0)), x2)

The set Q consists of the following terms:

1530_0_reverse_ConstantStackPush(java.lang.Object(x0))
1696_0_reverse_NULL(x0, NULL)
1696_0_reverse_NULL(x0, java.lang.Object(IntList(x1)))

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

(32) DependencyGraphProof (EQUIVALENT transformation)

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