Termination of the given JBC could be proven:

0 JBC
↳1 JBC2FIG (⇐)
↳2 FIGraph
↳3 FIGtoITRSProof (⇐)
↳4 AND
    ↳5 ITRS
        ↳6 DuplicateArgsRemoverProof (⇔)
        ↳7 ITRS
        ↳8 ITRStoQTRSProof (⇔)
        ↳9 QTRS
        ↳10 QTRSRRRProof (⇔)
        ↳11 QTRS
        ↳12 QTRSRRRProof (⇔)
        ↳13 QTRS
        ↳14 QTRSRRRProof (⇔)
        ↳15 QTRS
        ↳16 RisEmptyProof (⇔)
        ↳17 TRUE
    ↳18 ITRS
        ↳19 DuplicateArgsRemoverProof (⇔)
        ↳20 ITRS
        ↳21 ITRSFilterProcessorProof (⇐)
        ↳22 ITRS
        ↳23 ITRSFSMergerProof (⇐)
        ↳24 ITRS
        ↳25 ITRStoIDPProof (⇔)
        ↳26 IDP
        ↳27 UsableRulesProof (⇔)
        ↳28 IDP
        ↳29 ItpfGraphProof (⇔)
        ↳30 IDP
        ↳31 IDPNonInfProof (⇐)
        ↳32 AND
            ↳33 IDP
                ↳34 IDependencyGraphProof (⇔)
                ↳35 TRUE
            ↳36 IDP
                ↳37 IDependencyGraphProof (⇔)
                ↳38 TRUE
    ↳39 ITRS
        ↳40 DuplicateArgsRemoverProof (⇔)
        ↳41 ITRS
        ↳42 ITRSFilterProcessorProof (⇐)
        ↳43 ITRS
        ↳44 ITRSFSMergerProof (⇐)
        ↳45 ITRS
        ↳46 ITRStoIDPProof (⇔)
        ↳47 IDP
        ↳48 UsableRulesProof (⇔)
        ↳49 IDP
        ↳50 ItpfGraphProof (⇔)
        ↳51 IDP
        ↳52 IDPNonInfProof (⇐)
        ↳53 AND
            ↳54 IDP
                ↳55 IDependencyGraphProof (⇔)
                ↳56 TRUE
            ↳57 IDP
                ↳58 IDependencyGraphProof (⇔)
                ↳59 TRUE
    ↳60 ITRS
        ↳61 DuplicateArgsRemoverProof (⇔)
        ↳62 ITRS
        ↳63 ITRSFilterProcessorProof (⇐)
        ↳64 ITRS
        ↳65 ITRSFSMergerProof (⇐)
        ↳66 ITRS
        ↳67 ITRStoIDPProof (⇔)
        ↳68 IDP
        ↳69 UsableRulesProof (⇔)
        ↳70 IDP
        ↳71 ItpfGraphProof (⇔)
        ↳72 IDP
        ↳73 IDPNonInfProof (⇐)
        ↳74 AND
            ↳75 IDP
                ↳76 IDependencyGraphProof (⇔)
                ↳77 TRUE
            ↳78 IDP
                ↳79 IDependencyGraphProof (⇔)
                ↳80 TRUE

(0) Obligation:

JBC Problem based on JBC Program:
Manifest-Version: 1.0 Created-By: 1.6.0_16 (Sun Microsystems Inc.) Main-Class: LessLeaves 
public class LessLeaves {
  // Checks if a binary tree
  // has less leaves than another one

  public static void main(String[] args) {
    Random.args = args;
    Tree tree1 = Tree.createTree(); 
    Tree tree2 = Tree.createTree();
    boolean b = less_leaves(tree1,tree2);
  }



  public static Tree append(Tree t1, Tree t2) {

    Tree t;

    if (t1 == null) return t2;
    else {
      t = t1;

      while (t.right != null) {
        t = t.right;
      }

      t.right = t2;
      return t1;
    }
  }

  public static boolean less_leaves(Tree t1, Tree t2) {


    while ((t1 != null) && (t2 != null)) {
      t1 = append(t1.left,t1.right);
      t2 = append(t2.left,t2.right);
    }

    if (t2 == null) return false;
    else            return true;

  }
}


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

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


public class Tree {
  Tree left;
  Tree right;
  Object value;

  public Tree(Tree l, Tree r) {
    this.left = l;
    this.right = r;
  }

  public Tree() {
  }

  public static Tree createNode() {
    Tree result = new Tree();
    result.value = new Object();
    return result;
  }

  public static Tree createTree() {
    int counter = Random.random();
    if (counter == 0) {
      return null;
    }
    Tree result = createNode();
    Tree t = result;

    while (counter > 0) {
      int branch = Random.random();
      if (branch > 0) {
        if (t.left == null) {
          t.left = createNode();
          t = result;
        } else {
          t = t.left;
        }
      } else {
        if (t.right == null) {
          t.right = createNode();
          t = result;
        } else {
          t = t.right;
        }
      }
      counter--;
    }

    return result;
  }
  public static void main(String[] args) {
    Random.args = args;
    createTree();
  }
}


(1) JBC2FIG (SOUND transformation)

Constructed FIGraph.

(2) Obligation:

FIGraph based on JBC Program:
Graph of 1165 nodes with 4 SCCs.

(3) FIGtoITRSProof (SOUND transformation)

Transformed FIGraph to ITRS rules

(4) Complex Obligation (AND)

(5) Obligation:

ITRS problem:

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

The TRS R consists of the following rules:
Load38993(o87462, o87460, o87458, o87459) → NULL39188(o87462, o87460, o87458, o87459, o87458)
NULL39188(o88003, o88002, java.lang.Object(Tree(o88584Field0, o88584Field1)), o88000, java.lang.Object(Tree(o88584Field0, o88584Field1))) → Load39442(o88003, o88002, java.lang.Object(Tree(o88584Field0, o88584Field1)), o88000)
Load39442(o89152, o89151, java.lang.Object(Tree(java.lang.Object(Tree(o93682Field0, o93682Field1)), o91066)), java.lang.Object(Tree(o89702Field0, o89702Field1))) → Load41049(o89152, o89151, java.lang.Object(Tree(o89702Field0, o89702Field1)), java.lang.Object(Tree(o93682Field0, o93682Field1)), java.lang.Object(Tree(o93682Field0, o93682Field1)), java.lang.Object(Tree(o93682Field0, o93682Field1)))
Load41049(o95952, o95951, java.lang.Object(Tree(o95950Field0, o95950Field1)), java.lang.Object(Tree(o95944Field0, o95944Field1)), java.lang.Object(Tree(o95944Field0, o95944Field1)), java.lang.Object(Tree(o97186, java.lang.Object(Tree(o97927Field0, o97927Field1))))) → Load41049(o95952, o95951, java.lang.Object(Tree(o95950Field0, o95950Field1)), java.lang.Object(Tree(o95944Field0, o95944Field1)), java.lang.Object(Tree(o95944Field0, o95944Field1)), java.lang.Object(Tree(o97927Field0, o97927Field1)))
Load41049(o95952, o95951, java.lang.Object(Tree(o95950Field0, o95950Field1)), java.lang.Object(Tree(o95944Field0, o95944Field1)), java.lang.Object(Tree(o95944Field0, o95944Field1)), java.lang.Object(Tree(o97186, NULL))) → Load40507(o95952, o95951, java.lang.Object(Tree(o95944Field0, o95944Field1)), java.lang.Object(Tree(o95950Field0, o95950Field1)))
Load41153(java.lang.Object(Tree(java.lang.Object(Tree(o96161Field0, o96161Field1)), o96162)), o96168, java.lang.Object(Tree(java.lang.Object(Tree(o96161Field0, o96161Field1)), o96162)), java.lang.Object(Tree(o96167Field0, o96167Field1)), java.lang.Object(Tree(o96161Field0, o96161Field1)), java.lang.Object(Tree(o96161Field0, o96161Field1)), java.lang.Object(Tree(o97344, NULL))) → Load40507(java.lang.Object(Tree(java.lang.Object(Tree(o96161Field0, o96161Field1)), o96162)), o96168, java.lang.Object(Tree(o96161Field0, o96161Field1)), java.lang.Object(Tree(o96167Field0, o96167Field1)))
Load39442(java.lang.Object(Tree(NULL, o91079)), o89151, java.lang.Object(Tree(NULL, o91079)), java.lang.Object(Tree(o89702Field0, o89702Field1))) → Load40507(java.lang.Object(Tree(NULL, o91079)), o89151, o91079, java.lang.Object(Tree(o89702Field0, o89702Field1)))
Load40507(o89152, o89151, o91066, java.lang.Object(Tree(java.lang.Object(Tree(o96450Field0, o96450Field1)), o94665))) → Load42762(o89152, o89151, o91066, java.lang.Object(Tree(o96450Field0, o96450Field1)), java.lang.Object(Tree(o96450Field0, o96450Field1)), java.lang.Object(Tree(o96450Field0, o96450Field1)))
Load39442(o89152, o89151, java.lang.Object(Tree(NULL, o91066)), java.lang.Object(Tree(java.lang.Object(Tree(o96450Field0, o96450Field1)), o94665))) → Load42762(o89152, o89151, o91066, java.lang.Object(Tree(o96450Field0, o96450Field1)), java.lang.Object(Tree(o96450Field0, o96450Field1)), java.lang.Object(Tree(o96450Field0, o96450Field1)))
Load42762(o101857, o101856, o101853, java.lang.Object(Tree(o101849Field0, o101849Field1)), java.lang.Object(Tree(o101849Field0, o101849Field1)), java.lang.Object(Tree(o103310, java.lang.Object(Tree(o104359Field0, o104359Field1))))) → Load42762(o101857, o101856, o101853, java.lang.Object(Tree(o101849Field0, o101849Field1)), java.lang.Object(Tree(o101849Field0, o101849Field1)), java.lang.Object(Tree(o104359Field0, o104359Field1)))
Load42762(o101857, o101856, o101853, java.lang.Object(Tree(o101849Field0, o101849Field1)), java.lang.Object(Tree(o101849Field0, o101849Field1)), java.lang.Object(Tree(o103310, NULL))) → JMP41532(o101857, o101856, o101853, java.lang.Object(Tree(o101849Field0, o101849Field1)))
Load42840(o102008, java.lang.Object(Tree(java.lang.Object(Tree(o102002Field0, o102002Field1)), o102003)), o102005, java.lang.Object(Tree(java.lang.Object(Tree(o102002Field0, o102002Field1)), o102003)), java.lang.Object(Tree(o102002Field0, o102002Field1)), java.lang.Object(Tree(o102002Field0, o102002Field1)), java.lang.Object(Tree(o103347, NULL))) → JMP41532(o102008, java.lang.Object(Tree(java.lang.Object(Tree(o102002Field0, o102002Field1)), o102003)), o102005, java.lang.Object(Tree(o102002Field0, o102002Field1)))
Load40507(o89152, java.lang.Object(Tree(NULL, o94679)), o91066, java.lang.Object(Tree(NULL, o94679))) → JMP41532(o89152, java.lang.Object(Tree(NULL, o94679)), o91066, o94679)
Load39442(o89152, java.lang.Object(Tree(NULL, o94679)), java.lang.Object(Tree(NULL, o91066)), java.lang.Object(Tree(NULL, o94679))) → JMP41532(o89152, java.lang.Object(Tree(NULL, o94679)), o91066, o94679)
JMP41532(o89152, o89151, o91066, o94665) → Load38993(o89152, o89151, o91066, o94665)
Load40507(o89152, o89151, o91066, java.lang.Object(Tree(NULL, o94665))) → Load38993(o89152, o89151, o91066, o94665)
Load39442(o89152, o89151, java.lang.Object(Tree(NULL, o91066)), java.lang.Object(Tree(NULL, o94665))) → Load38993(o89152, o89151, o91066, o94665)
Load40507(o89152, java.lang.Object(Tree(java.lang.Object(Tree(o96495Field0, o96495Field1)), o94679)), o91066, java.lang.Object(Tree(java.lang.Object(Tree(o96495Field0, o96495Field1)), o94679))) → Load42840(o89152, java.lang.Object(Tree(java.lang.Object(Tree(o96495Field0, o96495Field1)), o94679)), o91066, java.lang.Object(Tree(java.lang.Object(Tree(o96495Field0, o96495Field1)), o94679)), java.lang.Object(Tree(o96495Field0, o96495Field1)), java.lang.Object(Tree(o96495Field0, o96495Field1)), java.lang.Object(Tree(o96495Field0, o96495Field1)))
Load39442(o89152, java.lang.Object(Tree(java.lang.Object(Tree(o96495Field0, o96495Field1)), o94679)), java.lang.Object(Tree(NULL, o91066)), java.lang.Object(Tree(java.lang.Object(Tree(o96495Field0, o96495Field1)), o94679))) → Load42840(o89152, java.lang.Object(Tree(java.lang.Object(Tree(o96495Field0, o96495Field1)), o94679)), o91066, java.lang.Object(Tree(java.lang.Object(Tree(o96495Field0, o96495Field1)), o94679)), java.lang.Object(Tree(o96495Field0, o96495Field1)), java.lang.Object(Tree(o96495Field0, o96495Field1)), java.lang.Object(Tree(o96495Field0, o96495Field1)))
Load42840(o102008, java.lang.Object(Tree(java.lang.Object(Tree(o102002Field0, o102002Field1)), o102003)), o102005, java.lang.Object(Tree(java.lang.Object(Tree(o102002Field0, o102002Field1)), o102003)), java.lang.Object(Tree(o102002Field0, o102002Field1)), java.lang.Object(Tree(o102002Field0, o102002Field1)), java.lang.Object(Tree(o103347, java.lang.Object(Tree(o104441Field0, o104441Field1))))) → Load42840(o102008, java.lang.Object(Tree(java.lang.Object(Tree(o102002Field0, o102002Field1)), o102003)), o102005, java.lang.Object(Tree(java.lang.Object(Tree(o102002Field0, o102002Field1)), o102003)), java.lang.Object(Tree(o102002Field0, o102002Field1)), java.lang.Object(Tree(o102002Field0, o102002Field1)), java.lang.Object(Tree(o104441Field0, o104441Field1)))
Load39442(java.lang.Object(Tree(java.lang.Object(Tree(o93711Field0, o93711Field1)), o91079)), o89151, java.lang.Object(Tree(java.lang.Object(Tree(o93711Field0, o93711Field1)), o91079)), java.lang.Object(Tree(o89702Field0, o89702Field1))) → Load41153(java.lang.Object(Tree(java.lang.Object(Tree(o93711Field0, o93711Field1)), o91079)), o89151, java.lang.Object(Tree(java.lang.Object(Tree(o93711Field0, o93711Field1)), o91079)), java.lang.Object(Tree(o89702Field0, o89702Field1)), java.lang.Object(Tree(o93711Field0, o93711Field1)), java.lang.Object(Tree(o93711Field0, o93711Field1)), java.lang.Object(Tree(o93711Field0, o93711Field1)))
Load41153(java.lang.Object(Tree(java.lang.Object(Tree(o96161Field0, o96161Field1)), o96162)), o96168, java.lang.Object(Tree(java.lang.Object(Tree(o96161Field0, o96161Field1)), o96162)), java.lang.Object(Tree(o96167Field0, o96167Field1)), java.lang.Object(Tree(o96161Field0, o96161Field1)), java.lang.Object(Tree(o96161Field0, o96161Field1)), java.lang.Object(Tree(o97344, java.lang.Object(Tree(o98077Field0, o98077Field1))))) → Load41153(java.lang.Object(Tree(java.lang.Object(Tree(o96161Field0, o96161Field1)), o96162)), o96168, java.lang.Object(Tree(java.lang.Object(Tree(o96161Field0, o96161Field1)), o96162)), java.lang.Object(Tree(o96167Field0, o96167Field1)), java.lang.Object(Tree(o96161Field0, o96161Field1)), java.lang.Object(Tree(o96161Field0, o96161Field1)), java.lang.Object(Tree(o98077Field0, o98077Field1)))
The set Q consists of the following terms:
Load38993(x0, x1, x2, x3)
NULL39188(x0, x1, java.lang.Object(Tree(x2, x3)), x4, java.lang.Object(Tree(x2, x3)))
Load39442(x0, x1, java.lang.Object(Tree(java.lang.Object(Tree(x2, x3)), x4)), java.lang.Object(Tree(x5, x6)))
Load41049(x0, x1, java.lang.Object(Tree(x2, x3)), java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x6, java.lang.Object(Tree(x7, x8)))))
Load41049(x0, x1, java.lang.Object(Tree(x2, x3)), java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x6, NULL)))
Load41153(java.lang.Object(Tree(java.lang.Object(Tree(x0, x1)), x2)), x3, java.lang.Object(Tree(java.lang.Object(Tree(x0, x1)), x2)), java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x0, x1)), java.lang.Object(Tree(x0, x1)), java.lang.Object(Tree(x6, NULL)))
Load39442(java.lang.Object(Tree(NULL, x0)), x1, java.lang.Object(Tree(NULL, x0)), java.lang.Object(Tree(x2, x3)))
Load40507(x0, x1, x2, java.lang.Object(Tree(java.lang.Object(Tree(x3, x4)), x5)))
Load39442(x0, x1, java.lang.Object(Tree(NULL, x2)), java.lang.Object(Tree(java.lang.Object(Tree(x3, x4)), x5)))
Load42762(x0, x1, x2, java.lang.Object(Tree(x3, x4)), java.lang.Object(Tree(x3, x4)), java.lang.Object(Tree(x5, java.lang.Object(Tree(x6, x7)))))
Load42762(x0, x1, x2, java.lang.Object(Tree(x3, x4)), java.lang.Object(Tree(x3, x4)), java.lang.Object(Tree(x5, NULL)))
Load42840(x0, java.lang.Object(Tree(java.lang.Object(Tree(x1, x2)), x3)), x4, java.lang.Object(Tree(java.lang.Object(Tree(x1, x2)), x3)), java.lang.Object(Tree(x1, x2)), java.lang.Object(Tree(x1, x2)), java.lang.Object(Tree(x5, NULL)))
JMP41532(x0, x1, x2, x3)
Load40507(x0, x1, x2, java.lang.Object(Tree(NULL, x3)))
Load39442(x0, x1, java.lang.Object(Tree(NULL, x2)), java.lang.Object(Tree(NULL, x3)))
Load42840(x0, java.lang.Object(Tree(java.lang.Object(Tree(x1, x2)), x3)), x4, java.lang.Object(Tree(java.lang.Object(Tree(x1, x2)), x3)), java.lang.Object(Tree(x1, x2)), java.lang.Object(Tree(x1, x2)), java.lang.Object(Tree(x5, java.lang.Object(Tree(x6, x7)))))
Load41153(java.lang.Object(Tree(java.lang.Object(Tree(x0, x1)), x2)), x3, java.lang.Object(Tree(java.lang.Object(Tree(x0, x1)), x2)), java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x0, x1)), java.lang.Object(Tree(x0, x1)), java.lang.Object(Tree(x6, java.lang.Object(Tree(x7, x8)))))

(6) DuplicateArgsRemoverProof (EQUIVALENT transformation)

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

Load41153(x1, x2, x3, x4, x5, x6, x7) → Load41153(x2, x3, x4, x6, x7)
Load42840(x1, x2, x3, x4, x5, x6, x7) → Load42840(x1, x3, x4, x6, x7)
Load42762(x1, x2, x3, x4, x5, x6) → Load42762(x1, x2, x3, x5, x6)
Load41049(x1, x2, x3, x4, x5, x6) → Load41049(x1, x2, x3, x5, x6)
NULL39188(x1, x2, x3, x4, x5) → NULL39188(x1, x2, x4, x5)

(7) Obligation:

ITRS problem:

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

The TRS R consists of the following rules:
Load38993(o87462, o87460, o87458, o87459) → NULL39188(o87462, o87460, o87459, o87458)
NULL39188(o88003, o88002, o88000, java.lang.Object(Tree(o88584Field0, o88584Field1))) → Load39442(o88003, o88002, java.lang.Object(Tree(o88584Field0, o88584Field1)), o88000)
Load39442(o89152, o89151, java.lang.Object(Tree(java.lang.Object(Tree(o93682Field0, o93682Field1)), o91066)), java.lang.Object(Tree(o89702Field0, o89702Field1))) → Load41049(o89152, o89151, java.lang.Object(Tree(o89702Field0, o89702Field1)), java.lang.Object(Tree(o93682Field0, o93682Field1)), java.lang.Object(Tree(o93682Field0, o93682Field1)))
Load41049(o95952, o95951, java.lang.Object(Tree(o95950Field0, o95950Field1)), java.lang.Object(Tree(o95944Field0, o95944Field1)), java.lang.Object(Tree(o97186, java.lang.Object(Tree(o97927Field0, o97927Field1))))) → Load41049(o95952, o95951, java.lang.Object(Tree(o95950Field0, o95950Field1)), java.lang.Object(Tree(o95944Field0, o95944Field1)), java.lang.Object(Tree(o97927Field0, o97927Field1)))
Load41049(o95952, o95951, java.lang.Object(Tree(o95950Field0, o95950Field1)), java.lang.Object(Tree(o95944Field0, o95944Field1)), java.lang.Object(Tree(o97186, NULL))) → Load40507(o95952, o95951, java.lang.Object(Tree(o95944Field0, o95944Field1)), java.lang.Object(Tree(o95950Field0, o95950Field1)))
Load41153(o96168, java.lang.Object(Tree(java.lang.Object(Tree(o96161Field0, o96161Field1)), o96162)), java.lang.Object(Tree(o96167Field0, o96167Field1)), java.lang.Object(Tree(o96161Field0, o96161Field1)), java.lang.Object(Tree(o97344, NULL))) → Load40507(java.lang.Object(Tree(java.lang.Object(Tree(o96161Field0, o96161Field1)), o96162)), o96168, java.lang.Object(Tree(o96161Field0, o96161Field1)), java.lang.Object(Tree(o96167Field0, o96167Field1)))
Load39442(java.lang.Object(Tree(NULL, o91079)), o89151, java.lang.Object(Tree(NULL, o91079)), java.lang.Object(Tree(o89702Field0, o89702Field1))) → Load40507(java.lang.Object(Tree(NULL, o91079)), o89151, o91079, java.lang.Object(Tree(o89702Field0, o89702Field1)))
Load40507(o89152, o89151, o91066, java.lang.Object(Tree(java.lang.Object(Tree(o96450Field0, o96450Field1)), o94665))) → Load42762(o89152, o89151, o91066, java.lang.Object(Tree(o96450Field0, o96450Field1)), java.lang.Object(Tree(o96450Field0, o96450Field1)))
Load39442(o89152, o89151, java.lang.Object(Tree(NULL, o91066)), java.lang.Object(Tree(java.lang.Object(Tree(o96450Field0, o96450Field1)), o94665))) → Load42762(o89152, o89151, o91066, java.lang.Object(Tree(o96450Field0, o96450Field1)), java.lang.Object(Tree(o96450Field0, o96450Field1)))
Load42762(o101857, o101856, o101853, java.lang.Object(Tree(o101849Field0, o101849Field1)), java.lang.Object(Tree(o103310, java.lang.Object(Tree(o104359Field0, o104359Field1))))) → Load42762(o101857, o101856, o101853, java.lang.Object(Tree(o101849Field0, o101849Field1)), java.lang.Object(Tree(o104359Field0, o104359Field1)))
Load42762(o101857, o101856, o101853, java.lang.Object(Tree(o101849Field0, o101849Field1)), java.lang.Object(Tree(o103310, NULL))) → JMP41532(o101857, o101856, o101853, java.lang.Object(Tree(o101849Field0, o101849Field1)))
Load42840(o102008, o102005, java.lang.Object(Tree(java.lang.Object(Tree(o102002Field0, o102002Field1)), o102003)), java.lang.Object(Tree(o102002Field0, o102002Field1)), java.lang.Object(Tree(o103347, NULL))) → JMP41532(o102008, java.lang.Object(Tree(java.lang.Object(Tree(o102002Field0, o102002Field1)), o102003)), o102005, java.lang.Object(Tree(o102002Field0, o102002Field1)))
Load40507(o89152, java.lang.Object(Tree(NULL, o94679)), o91066, java.lang.Object(Tree(NULL, o94679))) → JMP41532(o89152, java.lang.Object(Tree(NULL, o94679)), o91066, o94679)
Load39442(o89152, java.lang.Object(Tree(NULL, o94679)), java.lang.Object(Tree(NULL, o91066)), java.lang.Object(Tree(NULL, o94679))) → JMP41532(o89152, java.lang.Object(Tree(NULL, o94679)), o91066, o94679)
JMP41532(o89152, o89151, o91066, o94665) → Load38993(o89152, o89151, o91066, o94665)
Load40507(o89152, o89151, o91066, java.lang.Object(Tree(NULL, o94665))) → Load38993(o89152, o89151, o91066, o94665)
Load39442(o89152, o89151, java.lang.Object(Tree(NULL, o91066)), java.lang.Object(Tree(NULL, o94665))) → Load38993(o89152, o89151, o91066, o94665)
Load40507(o89152, java.lang.Object(Tree(java.lang.Object(Tree(o96495Field0, o96495Field1)), o94679)), o91066, java.lang.Object(Tree(java.lang.Object(Tree(o96495Field0, o96495Field1)), o94679))) → Load42840(o89152, o91066, java.lang.Object(Tree(java.lang.Object(Tree(o96495Field0, o96495Field1)), o94679)), java.lang.Object(Tree(o96495Field0, o96495Field1)), java.lang.Object(Tree(o96495Field0, o96495Field1)))
Load39442(o89152, java.lang.Object(Tree(java.lang.Object(Tree(o96495Field0, o96495Field1)), o94679)), java.lang.Object(Tree(NULL, o91066)), java.lang.Object(Tree(java.lang.Object(Tree(o96495Field0, o96495Field1)), o94679))) → Load42840(o89152, o91066, java.lang.Object(Tree(java.lang.Object(Tree(o96495Field0, o96495Field1)), o94679)), java.lang.Object(Tree(o96495Field0, o96495Field1)), java.lang.Object(Tree(o96495Field0, o96495Field1)))
Load42840(o102008, o102005, java.lang.Object(Tree(java.lang.Object(Tree(o102002Field0, o102002Field1)), o102003)), java.lang.Object(Tree(o102002Field0, o102002Field1)), java.lang.Object(Tree(o103347, java.lang.Object(Tree(o104441Field0, o104441Field1))))) → Load42840(o102008, o102005, java.lang.Object(Tree(java.lang.Object(Tree(o102002Field0, o102002Field1)), o102003)), java.lang.Object(Tree(o102002Field0, o102002Field1)), java.lang.Object(Tree(o104441Field0, o104441Field1)))
Load39442(java.lang.Object(Tree(java.lang.Object(Tree(o93711Field0, o93711Field1)), o91079)), o89151, java.lang.Object(Tree(java.lang.Object(Tree(o93711Field0, o93711Field1)), o91079)), java.lang.Object(Tree(o89702Field0, o89702Field1))) → Load41153(o89151, java.lang.Object(Tree(java.lang.Object(Tree(o93711Field0, o93711Field1)), o91079)), java.lang.Object(Tree(o89702Field0, o89702Field1)), java.lang.Object(Tree(o93711Field0, o93711Field1)), java.lang.Object(Tree(o93711Field0, o93711Field1)))
Load41153(o96168, java.lang.Object(Tree(java.lang.Object(Tree(o96161Field0, o96161Field1)), o96162)), java.lang.Object(Tree(o96167Field0, o96167Field1)), java.lang.Object(Tree(o96161Field0, o96161Field1)), java.lang.Object(Tree(o97344, java.lang.Object(Tree(o98077Field0, o98077Field1))))) → Load41153(o96168, java.lang.Object(Tree(java.lang.Object(Tree(o96161Field0, o96161Field1)), o96162)), java.lang.Object(Tree(o96167Field0, o96167Field1)), java.lang.Object(Tree(o96161Field0, o96161Field1)), java.lang.Object(Tree(o98077Field0, o98077Field1)))
The set Q consists of the following terms:
Load38993(x0, x1, x2, x3)
NULL39188(x0, x1, x2, java.lang.Object(Tree(x3, x4)))
Load39442(x0, x1, java.lang.Object(Tree(java.lang.Object(Tree(x2, x3)), x4)), java.lang.Object(Tree(x5, x6)))
Load41049(x0, x1, java.lang.Object(Tree(x2, x3)), java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x6, java.lang.Object(Tree(x7, x8)))))
Load41049(x0, x1, java.lang.Object(Tree(x2, x3)), java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x6, NULL)))
Load41153(x0, java.lang.Object(Tree(java.lang.Object(Tree(x1, x2)), x3)), java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x1, x2)), java.lang.Object(Tree(x6, NULL)))
Load39442(java.lang.Object(Tree(NULL, x0)), x1, java.lang.Object(Tree(NULL, x0)), java.lang.Object(Tree(x2, x3)))
Load40507(x0, x1, x2, java.lang.Object(Tree(java.lang.Object(Tree(x3, x4)), x5)))
Load39442(x0, x1, java.lang.Object(Tree(NULL, x2)), java.lang.Object(Tree(java.lang.Object(Tree(x3, x4)), x5)))
Load42762(x0, x1, x2, java.lang.Object(Tree(x3, x4)), java.lang.Object(Tree(x5, java.lang.Object(Tree(x6, x7)))))
Load42762(x0, x1, x2, java.lang.Object(Tree(x3, x4)), java.lang.Object(Tree(x5, NULL)))
Load42840(x0, x1, java.lang.Object(Tree(java.lang.Object(Tree(x2, x3)), x4)), java.lang.Object(Tree(x2, x3)), java.lang.Object(Tree(x5, NULL)))
JMP41532(x0, x1, x2, x3)
Load40507(x0, x1, x2, java.lang.Object(Tree(NULL, x3)))
Load39442(x0, x1, java.lang.Object(Tree(NULL, x2)), java.lang.Object(Tree(NULL, x3)))
Load42840(x0, x1, java.lang.Object(Tree(java.lang.Object(Tree(x2, x3)), x4)), java.lang.Object(Tree(x2, x3)), java.lang.Object(Tree(x5, java.lang.Object(Tree(x6, x7)))))
Load41153(x0, java.lang.Object(Tree(java.lang.Object(Tree(x1, x2)), x3)), java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x1, x2)), java.lang.Object(Tree(x6, java.lang.Object(Tree(x7, x8)))))

(8) ITRStoQTRSProof (EQUIVALENT transformation)

Represented integers and predefined function symbols by Terms

(9) Obligation:

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

Load38993(o87462, o87460, o87458, o87459) → NULL39188(o87462, o87460, o87459, o87458)
NULL39188(o88003, o88002, o88000, java.lang.Object(Tree(o88584Field0, o88584Field1))) → Load39442(o88003, o88002, java.lang.Object(Tree(o88584Field0, o88584Field1)), o88000)
Load39442(o89152, o89151, java.lang.Object(Tree(java.lang.Object(Tree(o93682Field0, o93682Field1)), o91066)), java.lang.Object(Tree(o89702Field0, o89702Field1))) → Load41049(o89152, o89151, java.lang.Object(Tree(o89702Field0, o89702Field1)), java.lang.Object(Tree(o93682Field0, o93682Field1)), java.lang.Object(Tree(o93682Field0, o93682Field1)))
Load41049(o95952, o95951, java.lang.Object(Tree(o95950Field0, o95950Field1)), java.lang.Object(Tree(o95944Field0, o95944Field1)), java.lang.Object(Tree(o97186, java.lang.Object(Tree(o97927Field0, o97927Field1))))) → Load41049(o95952, o95951, java.lang.Object(Tree(o95950Field0, o95950Field1)), java.lang.Object(Tree(o95944Field0, o95944Field1)), java.lang.Object(Tree(o97927Field0, o97927Field1)))
Load41049(o95952, o95951, java.lang.Object(Tree(o95950Field0, o95950Field1)), java.lang.Object(Tree(o95944Field0, o95944Field1)), java.lang.Object(Tree(o97186, NULL))) → Load40507(o95952, o95951, java.lang.Object(Tree(o95944Field0, o95944Field1)), java.lang.Object(Tree(o95950Field0, o95950Field1)))
Load41153(o96168, java.lang.Object(Tree(java.lang.Object(Tree(o96161Field0, o96161Field1)), o96162)), java.lang.Object(Tree(o96167Field0, o96167Field1)), java.lang.Object(Tree(o96161Field0, o96161Field1)), java.lang.Object(Tree(o97344, NULL))) → Load40507(java.lang.Object(Tree(java.lang.Object(Tree(o96161Field0, o96161Field1)), o96162)), o96168, java.lang.Object(Tree(o96161Field0, o96161Field1)), java.lang.Object(Tree(o96167Field0, o96167Field1)))
Load39442(java.lang.Object(Tree(NULL, o91079)), o89151, java.lang.Object(Tree(NULL, o91079)), java.lang.Object(Tree(o89702Field0, o89702Field1))) → Load40507(java.lang.Object(Tree(NULL, o91079)), o89151, o91079, java.lang.Object(Tree(o89702Field0, o89702Field1)))
Load40507(o89152, o89151, o91066, java.lang.Object(Tree(java.lang.Object(Tree(o96450Field0, o96450Field1)), o94665))) → Load42762(o89152, o89151, o91066, java.lang.Object(Tree(o96450Field0, o96450Field1)), java.lang.Object(Tree(o96450Field0, o96450Field1)))
Load39442(o89152, o89151, java.lang.Object(Tree(NULL, o91066)), java.lang.Object(Tree(java.lang.Object(Tree(o96450Field0, o96450Field1)), o94665))) → Load42762(o89152, o89151, o91066, java.lang.Object(Tree(o96450Field0, o96450Field1)), java.lang.Object(Tree(o96450Field0, o96450Field1)))
Load42762(o101857, o101856, o101853, java.lang.Object(Tree(o101849Field0, o101849Field1)), java.lang.Object(Tree(o103310, java.lang.Object(Tree(o104359Field0, o104359Field1))))) → Load42762(o101857, o101856, o101853, java.lang.Object(Tree(o101849Field0, o101849Field1)), java.lang.Object(Tree(o104359Field0, o104359Field1)))
Load42762(o101857, o101856, o101853, java.lang.Object(Tree(o101849Field0, o101849Field1)), java.lang.Object(Tree(o103310, NULL))) → JMP41532(o101857, o101856, o101853, java.lang.Object(Tree(o101849Field0, o101849Field1)))
Load42840(o102008, o102005, java.lang.Object(Tree(java.lang.Object(Tree(o102002Field0, o102002Field1)), o102003)), java.lang.Object(Tree(o102002Field0, o102002Field1)), java.lang.Object(Tree(o103347, NULL))) → JMP41532(o102008, java.lang.Object(Tree(java.lang.Object(Tree(o102002Field0, o102002Field1)), o102003)), o102005, java.lang.Object(Tree(o102002Field0, o102002Field1)))
Load40507(o89152, java.lang.Object(Tree(NULL, o94679)), o91066, java.lang.Object(Tree(NULL, o94679))) → JMP41532(o89152, java.lang.Object(Tree(NULL, o94679)), o91066, o94679)
Load39442(o89152, java.lang.Object(Tree(NULL, o94679)), java.lang.Object(Tree(NULL, o91066)), java.lang.Object(Tree(NULL, o94679))) → JMP41532(o89152, java.lang.Object(Tree(NULL, o94679)), o91066, o94679)
JMP41532(o89152, o89151, o91066, o94665) → Load38993(o89152, o89151, o91066, o94665)
Load40507(o89152, o89151, o91066, java.lang.Object(Tree(NULL, o94665))) → Load38993(o89152, o89151, o91066, o94665)
Load39442(o89152, o89151, java.lang.Object(Tree(NULL, o91066)), java.lang.Object(Tree(NULL, o94665))) → Load38993(o89152, o89151, o91066, o94665)
Load40507(o89152, java.lang.Object(Tree(java.lang.Object(Tree(o96495Field0, o96495Field1)), o94679)), o91066, java.lang.Object(Tree(java.lang.Object(Tree(o96495Field0, o96495Field1)), o94679))) → Load42840(o89152, o91066, java.lang.Object(Tree(java.lang.Object(Tree(o96495Field0, o96495Field1)), o94679)), java.lang.Object(Tree(o96495Field0, o96495Field1)), java.lang.Object(Tree(o96495Field0, o96495Field1)))
Load39442(o89152, java.lang.Object(Tree(java.lang.Object(Tree(o96495Field0, o96495Field1)), o94679)), java.lang.Object(Tree(NULL, o91066)), java.lang.Object(Tree(java.lang.Object(Tree(o96495Field0, o96495Field1)), o94679))) → Load42840(o89152, o91066, java.lang.Object(Tree(java.lang.Object(Tree(o96495Field0, o96495Field1)), o94679)), java.lang.Object(Tree(o96495Field0, o96495Field1)), java.lang.Object(Tree(o96495Field0, o96495Field1)))
Load42840(o102008, o102005, java.lang.Object(Tree(java.lang.Object(Tree(o102002Field0, o102002Field1)), o102003)), java.lang.Object(Tree(o102002Field0, o102002Field1)), java.lang.Object(Tree(o103347, java.lang.Object(Tree(o104441Field0, o104441Field1))))) → Load42840(o102008, o102005, java.lang.Object(Tree(java.lang.Object(Tree(o102002Field0, o102002Field1)), o102003)), java.lang.Object(Tree(o102002Field0, o102002Field1)), java.lang.Object(Tree(o104441Field0, o104441Field1)))
Load39442(java.lang.Object(Tree(java.lang.Object(Tree(o93711Field0, o93711Field1)), o91079)), o89151, java.lang.Object(Tree(java.lang.Object(Tree(o93711Field0, o93711Field1)), o91079)), java.lang.Object(Tree(o89702Field0, o89702Field1))) → Load41153(o89151, java.lang.Object(Tree(java.lang.Object(Tree(o93711Field0, o93711Field1)), o91079)), java.lang.Object(Tree(o89702Field0, o89702Field1)), java.lang.Object(Tree(o93711Field0, o93711Field1)), java.lang.Object(Tree(o93711Field0, o93711Field1)))
Load41153(o96168, java.lang.Object(Tree(java.lang.Object(Tree(o96161Field0, o96161Field1)), o96162)), java.lang.Object(Tree(o96167Field0, o96167Field1)), java.lang.Object(Tree(o96161Field0, o96161Field1)), java.lang.Object(Tree(o97344, java.lang.Object(Tree(o98077Field0, o98077Field1))))) → Load41153(o96168, java.lang.Object(Tree(java.lang.Object(Tree(o96161Field0, o96161Field1)), o96162)), java.lang.Object(Tree(o96167Field0, o96167Field1)), java.lang.Object(Tree(o96161Field0, o96161Field1)), java.lang.Object(Tree(o98077Field0, o98077Field1)))

The set Q consists of the following terms:

Load38993(x0, x1, x2, x3)
NULL39188(x0, x1, x2, java.lang.Object(Tree(x3, x4)))
Load39442(x0, x1, java.lang.Object(Tree(java.lang.Object(Tree(x2, x3)), x4)), java.lang.Object(Tree(x5, x6)))
Load41049(x0, x1, java.lang.Object(Tree(x2, x3)), java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x6, java.lang.Object(Tree(x7, x8)))))
Load41049(x0, x1, java.lang.Object(Tree(x2, x3)), java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x6, NULL)))
Load41153(x0, java.lang.Object(Tree(java.lang.Object(Tree(x1, x2)), x3)), java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x1, x2)), java.lang.Object(Tree(x6, NULL)))
Load39442(java.lang.Object(Tree(NULL, x0)), x1, java.lang.Object(Tree(NULL, x0)), java.lang.Object(Tree(x2, x3)))
Load40507(x0, x1, x2, java.lang.Object(Tree(java.lang.Object(Tree(x3, x4)), x5)))
Load39442(x0, x1, java.lang.Object(Tree(NULL, x2)), java.lang.Object(Tree(java.lang.Object(Tree(x3, x4)), x5)))
Load42762(x0, x1, x2, java.lang.Object(Tree(x3, x4)), java.lang.Object(Tree(x5, java.lang.Object(Tree(x6, x7)))))
Load42762(x0, x1, x2, java.lang.Object(Tree(x3, x4)), java.lang.Object(Tree(x5, NULL)))
Load42840(x0, x1, java.lang.Object(Tree(java.lang.Object(Tree(x2, x3)), x4)), java.lang.Object(Tree(x2, x3)), java.lang.Object(Tree(x5, NULL)))
JMP41532(x0, x1, x2, x3)
Load40507(x0, x1, x2, java.lang.Object(Tree(NULL, x3)))
Load39442(x0, x1, java.lang.Object(Tree(NULL, x2)), java.lang.Object(Tree(NULL, x3)))
Load42840(x0, x1, java.lang.Object(Tree(java.lang.Object(Tree(x2, x3)), x4)), java.lang.Object(Tree(x2, x3)), java.lang.Object(Tree(x5, java.lang.Object(Tree(x6, x7)))))
Load41153(x0, java.lang.Object(Tree(java.lang.Object(Tree(x1, x2)), x3)), java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x1, x2)), java.lang.Object(Tree(x6, java.lang.Object(Tree(x7, x8)))))

(10) QTRSRRRProof (EQUIVALENT transformation)

Used ordering:
Polynomial interpretation [POLO]:

POL(JMP41532(x1, x2, x3, x4)) = 2 + 2·x1 + 2·x2 + 2·x3 + 2·x4   
POL(Load38993(x1, x2, x3, x4)) = 2 + 2·x1 + 2·x2 + 2·x3 + 2·x4   
POL(Load39442(x1, x2, x3, x4)) = 1 + 2·x1 + 2·x2 + 2·x3 + 2·x4   
POL(Load40507(x1, x2, x3, x4)) = 2·x1 + 2·x2 + 2·x3 + x4   
POL(Load41049(x1, x2, x3, x4, x5)) = 2·x1 + 2·x2 + x3 + 2·x4 + x5   
POL(Load41153(x1, x2, x3, x4, x5)) = 2·x1 + 2·x2 + 2·x3 + 2·x4 + 2·x5   
POL(Load42762(x1, x2, x3, x4, x5)) = 2·x1 + 2·x2 + 2·x3 + 2·x4 + 2·x5   
POL(Load42840(x1, x2, x3, x4, x5)) = 2·x1 + 2·x2 + 2·x3 + 2·x4 + x5   
POL(NULL) = 2   
POL(NULL39188(x1, x2, x3, x4)) = 1 + 2·x1 + 2·x2 + 2·x3 + 2·x4   
POL(Tree(x1, x2)) = 2·x1 + 2·x2   
POL(java.lang.Object(x1)) = 2·x1   
With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly:

Load38993(o87462, o87460, o87458, o87459) → NULL39188(o87462, o87460, o87459, o87458)
Load39442(o89152, o89151, java.lang.Object(Tree(java.lang.Object(Tree(o93682Field0, o93682Field1)), o91066)), java.lang.Object(Tree(o89702Field0, o89702Field1))) → Load41049(o89152, o89151, java.lang.Object(Tree(o89702Field0, o89702Field1)), java.lang.Object(Tree(o93682Field0, o93682Field1)), java.lang.Object(Tree(o93682Field0, o93682Field1)))
Load41049(o95952, o95951, java.lang.Object(Tree(o95950Field0, o95950Field1)), java.lang.Object(Tree(o95944Field0, o95944Field1)), java.lang.Object(Tree(o97186, NULL))) → Load40507(o95952, o95951, java.lang.Object(Tree(o95944Field0, o95944Field1)), java.lang.Object(Tree(o95950Field0, o95950Field1)))
Load41153(o96168, java.lang.Object(Tree(java.lang.Object(Tree(o96161Field0, o96161Field1)), o96162)), java.lang.Object(Tree(o96167Field0, o96167Field1)), java.lang.Object(Tree(o96161Field0, o96161Field1)), java.lang.Object(Tree(o97344, NULL))) → Load40507(java.lang.Object(Tree(java.lang.Object(Tree(o96161Field0, o96161Field1)), o96162)), o96168, java.lang.Object(Tree(o96161Field0, o96161Field1)), java.lang.Object(Tree(o96167Field0, o96167Field1)))
Load39442(java.lang.Object(Tree(NULL, o91079)), o89151, java.lang.Object(Tree(NULL, o91079)), java.lang.Object(Tree(o89702Field0, o89702Field1))) → Load40507(java.lang.Object(Tree(NULL, o91079)), o89151, o91079, java.lang.Object(Tree(o89702Field0, o89702Field1)))
Load39442(o89152, o89151, java.lang.Object(Tree(NULL, o91066)), java.lang.Object(Tree(java.lang.Object(Tree(o96450Field0, o96450Field1)), o94665))) → Load42762(o89152, o89151, o91066, java.lang.Object(Tree(o96450Field0, o96450Field1)), java.lang.Object(Tree(o96450Field0, o96450Field1)))
Load42762(o101857, o101856, o101853, java.lang.Object(Tree(o101849Field0, o101849Field1)), java.lang.Object(Tree(o103310, NULL))) → JMP41532(o101857, o101856, o101853, java.lang.Object(Tree(o101849Field0, o101849Field1)))
Load42840(o102008, o102005, java.lang.Object(Tree(java.lang.Object(Tree(o102002Field0, o102002Field1)), o102003)), java.lang.Object(Tree(o102002Field0, o102002Field1)), java.lang.Object(Tree(o103347, NULL))) → JMP41532(o102008, java.lang.Object(Tree(java.lang.Object(Tree(o102002Field0, o102002Field1)), o102003)), o102005, java.lang.Object(Tree(o102002Field0, o102002Field1)))
Load40507(o89152, java.lang.Object(Tree(NULL, o94679)), o91066, java.lang.Object(Tree(NULL, o94679))) → JMP41532(o89152, java.lang.Object(Tree(NULL, o94679)), o91066, o94679)
Load39442(o89152, java.lang.Object(Tree(NULL, o94679)), java.lang.Object(Tree(NULL, o91066)), java.lang.Object(Tree(NULL, o94679))) → JMP41532(o89152, java.lang.Object(Tree(NULL, o94679)), o91066, o94679)
Load40507(o89152, o89151, o91066, java.lang.Object(Tree(NULL, o94665))) → Load38993(o89152, o89151, o91066, o94665)
Load39442(o89152, o89151, java.lang.Object(Tree(NULL, o91066)), java.lang.Object(Tree(NULL, o94665))) → Load38993(o89152, o89151, o91066, o94665)
Load39442(o89152, java.lang.Object(Tree(java.lang.Object(Tree(o96495Field0, o96495Field1)), o94679)), java.lang.Object(Tree(NULL, o91066)), java.lang.Object(Tree(java.lang.Object(Tree(o96495Field0, o96495Field1)), o94679))) → Load42840(o89152, o91066, java.lang.Object(Tree(java.lang.Object(Tree(o96495Field0, o96495Field1)), o94679)), java.lang.Object(Tree(o96495Field0, o96495Field1)), java.lang.Object(Tree(o96495Field0, o96495Field1)))
Load39442(java.lang.Object(Tree(java.lang.Object(Tree(o93711Field0, o93711Field1)), o91079)), o89151, java.lang.Object(Tree(java.lang.Object(Tree(o93711Field0, o93711Field1)), o91079)), java.lang.Object(Tree(o89702Field0, o89702Field1))) → Load41153(o89151, java.lang.Object(Tree(java.lang.Object(Tree(o93711Field0, o93711Field1)), o91079)), java.lang.Object(Tree(o89702Field0, o89702Field1)), java.lang.Object(Tree(o93711Field0, o93711Field1)), java.lang.Object(Tree(o93711Field0, o93711Field1)))


(11) Obligation:

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

NULL39188(o88003, o88002, o88000, java.lang.Object(Tree(o88584Field0, o88584Field1))) → Load39442(o88003, o88002, java.lang.Object(Tree(o88584Field0, o88584Field1)), o88000)
Load41049(o95952, o95951, java.lang.Object(Tree(o95950Field0, o95950Field1)), java.lang.Object(Tree(o95944Field0, o95944Field1)), java.lang.Object(Tree(o97186, java.lang.Object(Tree(o97927Field0, o97927Field1))))) → Load41049(o95952, o95951, java.lang.Object(Tree(o95950Field0, o95950Field1)), java.lang.Object(Tree(o95944Field0, o95944Field1)), java.lang.Object(Tree(o97927Field0, o97927Field1)))
Load40507(o89152, o89151, o91066, java.lang.Object(Tree(java.lang.Object(Tree(o96450Field0, o96450Field1)), o94665))) → Load42762(o89152, o89151, o91066, java.lang.Object(Tree(o96450Field0, o96450Field1)), java.lang.Object(Tree(o96450Field0, o96450Field1)))
Load42762(o101857, o101856, o101853, java.lang.Object(Tree(o101849Field0, o101849Field1)), java.lang.Object(Tree(o103310, java.lang.Object(Tree(o104359Field0, o104359Field1))))) → Load42762(o101857, o101856, o101853, java.lang.Object(Tree(o101849Field0, o101849Field1)), java.lang.Object(Tree(o104359Field0, o104359Field1)))
JMP41532(o89152, o89151, o91066, o94665) → Load38993(o89152, o89151, o91066, o94665)
Load40507(o89152, java.lang.Object(Tree(java.lang.Object(Tree(o96495Field0, o96495Field1)), o94679)), o91066, java.lang.Object(Tree(java.lang.Object(Tree(o96495Field0, o96495Field1)), o94679))) → Load42840(o89152, o91066, java.lang.Object(Tree(java.lang.Object(Tree(o96495Field0, o96495Field1)), o94679)), java.lang.Object(Tree(o96495Field0, o96495Field1)), java.lang.Object(Tree(o96495Field0, o96495Field1)))
Load42840(o102008, o102005, java.lang.Object(Tree(java.lang.Object(Tree(o102002Field0, o102002Field1)), o102003)), java.lang.Object(Tree(o102002Field0, o102002Field1)), java.lang.Object(Tree(o103347, java.lang.Object(Tree(o104441Field0, o104441Field1))))) → Load42840(o102008, o102005, java.lang.Object(Tree(java.lang.Object(Tree(o102002Field0, o102002Field1)), o102003)), java.lang.Object(Tree(o102002Field0, o102002Field1)), java.lang.Object(Tree(o104441Field0, o104441Field1)))
Load41153(o96168, java.lang.Object(Tree(java.lang.Object(Tree(o96161Field0, o96161Field1)), o96162)), java.lang.Object(Tree(o96167Field0, o96167Field1)), java.lang.Object(Tree(o96161Field0, o96161Field1)), java.lang.Object(Tree(o97344, java.lang.Object(Tree(o98077Field0, o98077Field1))))) → Load41153(o96168, java.lang.Object(Tree(java.lang.Object(Tree(o96161Field0, o96161Field1)), o96162)), java.lang.Object(Tree(o96167Field0, o96167Field1)), java.lang.Object(Tree(o96161Field0, o96161Field1)), java.lang.Object(Tree(o98077Field0, o98077Field1)))

The set Q consists of the following terms:

Load38993(x0, x1, x2, x3)
NULL39188(x0, x1, x2, java.lang.Object(Tree(x3, x4)))
Load39442(x0, x1, java.lang.Object(Tree(java.lang.Object(Tree(x2, x3)), x4)), java.lang.Object(Tree(x5, x6)))
Load41049(x0, x1, java.lang.Object(Tree(x2, x3)), java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x6, java.lang.Object(Tree(x7, x8)))))
Load41049(x0, x1, java.lang.Object(Tree(x2, x3)), java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x6, NULL)))
Load41153(x0, java.lang.Object(Tree(java.lang.Object(Tree(x1, x2)), x3)), java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x1, x2)), java.lang.Object(Tree(x6, NULL)))
Load39442(java.lang.Object(Tree(NULL, x0)), x1, java.lang.Object(Tree(NULL, x0)), java.lang.Object(Tree(x2, x3)))
Load40507(x0, x1, x2, java.lang.Object(Tree(java.lang.Object(Tree(x3, x4)), x5)))
Load39442(x0, x1, java.lang.Object(Tree(NULL, x2)), java.lang.Object(Tree(java.lang.Object(Tree(x3, x4)), x5)))
Load42762(x0, x1, x2, java.lang.Object(Tree(x3, x4)), java.lang.Object(Tree(x5, java.lang.Object(Tree(x6, x7)))))
Load42762(x0, x1, x2, java.lang.Object(Tree(x3, x4)), java.lang.Object(Tree(x5, NULL)))
Load42840(x0, x1, java.lang.Object(Tree(java.lang.Object(Tree(x2, x3)), x4)), java.lang.Object(Tree(x2, x3)), java.lang.Object(Tree(x5, NULL)))
JMP41532(x0, x1, x2, x3)
Load40507(x0, x1, x2, java.lang.Object(Tree(NULL, x3)))
Load39442(x0, x1, java.lang.Object(Tree(NULL, x2)), java.lang.Object(Tree(NULL, x3)))
Load42840(x0, x1, java.lang.Object(Tree(java.lang.Object(Tree(x2, x3)), x4)), java.lang.Object(Tree(x2, x3)), java.lang.Object(Tree(x5, java.lang.Object(Tree(x6, x7)))))
Load41153(x0, java.lang.Object(Tree(java.lang.Object(Tree(x1, x2)), x3)), java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x1, x2)), java.lang.Object(Tree(x6, java.lang.Object(Tree(x7, x8)))))

(12) QTRSRRRProof (EQUIVALENT transformation)

Used ordering:
Polynomial interpretation [POLO]:

POL(JMP41532(x1, x2, x3, x4)) = 1 + 2·x1 + 2·x2 + 2·x3 + 2·x4   
POL(Load38993(x1, x2, x3, x4)) = 1 + x1 + x2 + x3 + x4   
POL(Load39442(x1, x2, x3, x4)) = 2·x1 + 2·x2 + x3 + 2·x4   
POL(Load40507(x1, x2, x3, x4)) = 2 + 2·x1 + 2·x2 + 2·x3 + 2·x4   
POL(Load41049(x1, x2, x3, x4, x5)) = x1 + x2 + x3 + x4 + x5   
POL(Load41153(x1, x2, x3, x4, x5)) = x1 + x2 + x3 + x4 + x5   
POL(Load42762(x1, x2, x3, x4, x5)) = 2 + x1 + x2 + x3 + x4 + x5   
POL(Load42840(x1, x2, x3, x4, x5)) = 1 + x1 + x2 + 2·x3 + x4 + 2·x5   
POL(NULL39188(x1, x2, x3, x4)) = 2·x1 + 2·x2 + 2·x3 + x4   
POL(Tree(x1, x2)) = 1 + 2·x1 + x2   
POL(java.lang.Object(x1)) = 1 + x1   
With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly:

Load41049(o95952, o95951, java.lang.Object(Tree(o95950Field0, o95950Field1)), java.lang.Object(Tree(o95944Field0, o95944Field1)), java.lang.Object(Tree(o97186, java.lang.Object(Tree(o97927Field0, o97927Field1))))) → Load41049(o95952, o95951, java.lang.Object(Tree(o95950Field0, o95950Field1)), java.lang.Object(Tree(o95944Field0, o95944Field1)), java.lang.Object(Tree(o97927Field0, o97927Field1)))
Load40507(o89152, o89151, o91066, java.lang.Object(Tree(java.lang.Object(Tree(o96450Field0, o96450Field1)), o94665))) → Load42762(o89152, o89151, o91066, java.lang.Object(Tree(o96450Field0, o96450Field1)), java.lang.Object(Tree(o96450Field0, o96450Field1)))
Load42762(o101857, o101856, o101853, java.lang.Object(Tree(o101849Field0, o101849Field1)), java.lang.Object(Tree(o103310, java.lang.Object(Tree(o104359Field0, o104359Field1))))) → Load42762(o101857, o101856, o101853, java.lang.Object(Tree(o101849Field0, o101849Field1)), java.lang.Object(Tree(o104359Field0, o104359Field1)))
Load40507(o89152, java.lang.Object(Tree(java.lang.Object(Tree(o96495Field0, o96495Field1)), o94679)), o91066, java.lang.Object(Tree(java.lang.Object(Tree(o96495Field0, o96495Field1)), o94679))) → Load42840(o89152, o91066, java.lang.Object(Tree(java.lang.Object(Tree(o96495Field0, o96495Field1)), o94679)), java.lang.Object(Tree(o96495Field0, o96495Field1)), java.lang.Object(Tree(o96495Field0, o96495Field1)))
Load42840(o102008, o102005, java.lang.Object(Tree(java.lang.Object(Tree(o102002Field0, o102002Field1)), o102003)), java.lang.Object(Tree(o102002Field0, o102002Field1)), java.lang.Object(Tree(o103347, java.lang.Object(Tree(o104441Field0, o104441Field1))))) → Load42840(o102008, o102005, java.lang.Object(Tree(java.lang.Object(Tree(o102002Field0, o102002Field1)), o102003)), java.lang.Object(Tree(o102002Field0, o102002Field1)), java.lang.Object(Tree(o104441Field0, o104441Field1)))
Load41153(o96168, java.lang.Object(Tree(java.lang.Object(Tree(o96161Field0, o96161Field1)), o96162)), java.lang.Object(Tree(o96167Field0, o96167Field1)), java.lang.Object(Tree(o96161Field0, o96161Field1)), java.lang.Object(Tree(o97344, java.lang.Object(Tree(o98077Field0, o98077Field1))))) → Load41153(o96168, java.lang.Object(Tree(java.lang.Object(Tree(o96161Field0, o96161Field1)), o96162)), java.lang.Object(Tree(o96167Field0, o96167Field1)), java.lang.Object(Tree(o96161Field0, o96161Field1)), java.lang.Object(Tree(o98077Field0, o98077Field1)))


(13) Obligation:

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

NULL39188(o88003, o88002, o88000, java.lang.Object(Tree(o88584Field0, o88584Field1))) → Load39442(o88003, o88002, java.lang.Object(Tree(o88584Field0, o88584Field1)), o88000)
JMP41532(o89152, o89151, o91066, o94665) → Load38993(o89152, o89151, o91066, o94665)

The set Q consists of the following terms:

Load38993(x0, x1, x2, x3)
NULL39188(x0, x1, x2, java.lang.Object(Tree(x3, x4)))
Load39442(x0, x1, java.lang.Object(Tree(java.lang.Object(Tree(x2, x3)), x4)), java.lang.Object(Tree(x5, x6)))
Load41049(x0, x1, java.lang.Object(Tree(x2, x3)), java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x6, java.lang.Object(Tree(x7, x8)))))
Load41049(x0, x1, java.lang.Object(Tree(x2, x3)), java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x6, NULL)))
Load41153(x0, java.lang.Object(Tree(java.lang.Object(Tree(x1, x2)), x3)), java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x1, x2)), java.lang.Object(Tree(x6, NULL)))
Load39442(java.lang.Object(Tree(NULL, x0)), x1, java.lang.Object(Tree(NULL, x0)), java.lang.Object(Tree(x2, x3)))
Load40507(x0, x1, x2, java.lang.Object(Tree(java.lang.Object(Tree(x3, x4)), x5)))
Load39442(x0, x1, java.lang.Object(Tree(NULL, x2)), java.lang.Object(Tree(java.lang.Object(Tree(x3, x4)), x5)))
Load42762(x0, x1, x2, java.lang.Object(Tree(x3, x4)), java.lang.Object(Tree(x5, java.lang.Object(Tree(x6, x7)))))
Load42762(x0, x1, x2, java.lang.Object(Tree(x3, x4)), java.lang.Object(Tree(x5, NULL)))
Load42840(x0, x1, java.lang.Object(Tree(java.lang.Object(Tree(x2, x3)), x4)), java.lang.Object(Tree(x2, x3)), java.lang.Object(Tree(x5, NULL)))
JMP41532(x0, x1, x2, x3)
Load40507(x0, x1, x2, java.lang.Object(Tree(NULL, x3)))
Load39442(x0, x1, java.lang.Object(Tree(NULL, x2)), java.lang.Object(Tree(NULL, x3)))
Load42840(x0, x1, java.lang.Object(Tree(java.lang.Object(Tree(x2, x3)), x4)), java.lang.Object(Tree(x2, x3)), java.lang.Object(Tree(x5, java.lang.Object(Tree(x6, x7)))))
Load41153(x0, java.lang.Object(Tree(java.lang.Object(Tree(x1, x2)), x3)), java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x1, x2)), java.lang.Object(Tree(x6, java.lang.Object(Tree(x7, x8)))))

(14) QTRSRRRProof (EQUIVALENT transformation)

Used ordering:
Polynomial interpretation [POLO]:

POL(JMP41532(x1, x2, x3, x4)) = 2 + x1 + 2·x2 + 2·x3 + 2·x4   
POL(Load38993(x1, x2, x3, x4)) = 1 + x1 + x2 + x3 + x4   
POL(Load39442(x1, x2, x3, x4)) = 1 + x1 + 2·x2 + 2·x3 + 2·x4   
POL(NULL39188(x1, x2, x3, x4)) = 2 + 2·x1 + 2·x2 + 2·x3 + 2·x4   
POL(Tree(x1, x2)) = 1 + x1 + x2   
POL(java.lang.Object(x1)) = 1 + 2·x1   
With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly:

NULL39188(o88003, o88002, o88000, java.lang.Object(Tree(o88584Field0, o88584Field1))) → Load39442(o88003, o88002, java.lang.Object(Tree(o88584Field0, o88584Field1)), o88000)
JMP41532(o89152, o89151, o91066, o94665) → Load38993(o89152, o89151, o91066, o94665)


(15) Obligation:

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

Load38993(x0, x1, x2, x3)
NULL39188(x0, x1, x2, java.lang.Object(Tree(x3, x4)))
Load39442(x0, x1, java.lang.Object(Tree(java.lang.Object(Tree(x2, x3)), x4)), java.lang.Object(Tree(x5, x6)))
Load41049(x0, x1, java.lang.Object(Tree(x2, x3)), java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x6, java.lang.Object(Tree(x7, x8)))))
Load41049(x0, x1, java.lang.Object(Tree(x2, x3)), java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x6, NULL)))
Load41153(x0, java.lang.Object(Tree(java.lang.Object(Tree(x1, x2)), x3)), java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x1, x2)), java.lang.Object(Tree(x6, NULL)))
Load39442(java.lang.Object(Tree(NULL, x0)), x1, java.lang.Object(Tree(NULL, x0)), java.lang.Object(Tree(x2, x3)))
Load40507(x0, x1, x2, java.lang.Object(Tree(java.lang.Object(Tree(x3, x4)), x5)))
Load39442(x0, x1, java.lang.Object(Tree(NULL, x2)), java.lang.Object(Tree(java.lang.Object(Tree(x3, x4)), x5)))
Load42762(x0, x1, x2, java.lang.Object(Tree(x3, x4)), java.lang.Object(Tree(x5, java.lang.Object(Tree(x6, x7)))))
Load42762(x0, x1, x2, java.lang.Object(Tree(x3, x4)), java.lang.Object(Tree(x5, NULL)))
Load42840(x0, x1, java.lang.Object(Tree(java.lang.Object(Tree(x2, x3)), x4)), java.lang.Object(Tree(x2, x3)), java.lang.Object(Tree(x5, NULL)))
JMP41532(x0, x1, x2, x3)
Load40507(x0, x1, x2, java.lang.Object(Tree(NULL, x3)))
Load39442(x0, x1, java.lang.Object(Tree(NULL, x2)), java.lang.Object(Tree(NULL, x3)))
Load42840(x0, x1, java.lang.Object(Tree(java.lang.Object(Tree(x2, x3)), x4)), java.lang.Object(Tree(x2, x3)), java.lang.Object(Tree(x5, java.lang.Object(Tree(x6, x7)))))
Load41153(x0, java.lang.Object(Tree(java.lang.Object(Tree(x1, x2)), x3)), java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x1, x2)), java.lang.Object(Tree(x6, java.lang.Object(Tree(x7, x8)))))

(16) RisEmptyProof (EQUIVALENT transformation)

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

(17) TRUE

(18) Obligation:

ITRS problem:

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

The TRS R consists of the following rules:
Load49897(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(Tree(java.lang.Object(Tree(o143075Field0, o143075Field1)), o136792)), java.lang.Object(Tree(java.lang.Object(Tree(o143075Field0, o143075Field1)), o136792))) → Load49897ARR1(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(Tree(java.lang.Object(Tree(o143075Field0, o143075Field1)), o136792)), java.lang.Object(Tree(java.lang.Object(Tree(o143075Field0, o143075Field1)), o136792)), java.lang.Object(java.lang.String(i25648)))
Load49897ARR1(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(Tree(java.lang.Object(Tree(o143075Field0, o143075Field1)), o136792)), java.lang.Object(Tree(java.lang.Object(Tree(o143075Field0, o143075Field1)), o136792)), java.lang.Object(java.lang.String(i25648))) → Cond_Load49897ARR1(i25648 > 0 && i24782 > 0 && i24782 < i4 && i24804 > 0 && i24782 + 1 > 0, java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(Tree(java.lang.Object(Tree(o143075Field0, o143075Field1)), o136792)), java.lang.Object(Tree(java.lang.Object(Tree(o143075Field0, o143075Field1)), o136792)), java.lang.Object(java.lang.String(i25648)))
Cond_Load49897ARR1(TRUE, java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(Tree(java.lang.Object(Tree(o143075Field0, o143075Field1)), o136792)), java.lang.Object(Tree(java.lang.Object(Tree(o143075Field0, o143075Field1)), o136792)), java.lang.Object(java.lang.String(i25648))) → JMP52935(java.lang.Object(ARRAY(i4, a142080data)), i24782 + 1, i24804, java.lang.Object(Tree(java.lang.Object(Tree(o143075Field0, o143075Field1)), o136792)), java.lang.Object(Tree(o143075Field0, o143075Field1)))
Inc53049(java.lang.Object(ARRAY(i4, a142080data)), i25050, i24804, java.lang.Object(Tree(o136791, o136792)), java.lang.Object(Tree(o143951Field0, o143951Field1))) → Load49897(java.lang.Object(ARRAY(i4, a142080data)), i25050, i24804 + -1, java.lang.Object(Tree(o136791, o136792)), java.lang.Object(Tree(o143951Field0, o143951Field1)))
Load49897(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(Tree(o136791, o136792)), java.lang.Object(Tree(o142685, java.lang.Object(Tree(o143951Field0, o143951Field1))))) → Load49897ARR2(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(Tree(o136791, o136792)), java.lang.Object(Tree(o142685, java.lang.Object(Tree(o143951Field0, o143951Field1)))), java.lang.Object(java.lang.String(i25649)))
Load49897ARR2(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(Tree(o136791, o136792)), java.lang.Object(Tree(o142685, java.lang.Object(Tree(o143951Field0, o143951Field1)))), java.lang.Object(java.lang.String(i25649))) → Cond_Load49897ARR2(i25649 <= 0 && i24782 > 0 && i24782 < i4 && i24804 > 0 && i24782 + 1 > 0, java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(Tree(o136791, o136792)), java.lang.Object(Tree(o142685, java.lang.Object(Tree(o143951Field0, o143951Field1)))), java.lang.Object(java.lang.String(i25649)))
Cond_Load49897ARR2(TRUE, java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(Tree(o136791, o136792)), java.lang.Object(Tree(o142685, java.lang.Object(Tree(o143951Field0, o143951Field1)))), java.lang.Object(java.lang.String(i25649))) → Load49897(java.lang.Object(ARRAY(i4, a142080data)), i24782 + 1, i24804 + -1, java.lang.Object(Tree(o136791, o136792)), java.lang.Object(Tree(o143951Field0, o143951Field1)))
Inc55481(java.lang.Object(ARRAY(i4, a142080data)), i25050, i24804, java.lang.Object(Tree(o136791, o136792)), java.lang.Object(Tree(o136791, o136792))) → Load49897(java.lang.Object(ARRAY(i4, a142080data)), i25050, i24804 + -1, java.lang.Object(Tree(o136791, o136792)), java.lang.Object(Tree(o136791, o136792)))
JMP55387(java.lang.Object(ARRAY(i4, a142080data)), i25050, i24804, java.lang.Object(Tree(o136791, o136792)), java.lang.Object(Tree(o136791, o136792))) → Load49897(java.lang.Object(ARRAY(i4, a142080data)), i25050, i24804 + -1, java.lang.Object(Tree(o136791, o136792)), java.lang.Object(Tree(o136791, o136792)))
Load49897(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(Tree(o136791, o136792)), java.lang.Object(Tree(NULL, o142564))) → Load49897ARR3(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(Tree(o136791, o136792)), java.lang.Object(Tree(NULL, o142564)), java.lang.Object(java.lang.String(i25648)))
Load49897ARR3(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(Tree(o136791, o136792)), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o142564)), java.lang.Object(java.lang.String(i25648))) → Cond_Load49897ARR3(i25648 > 0 && i24782 > 0 && i24782 < i4 && i24804 > 0 && i24782 + 1 > 0, java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(Tree(o136791, o136792)), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o142564)), java.lang.Object(java.lang.String(i25648)))
Cond_Load49897ARR3(TRUE, java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(Tree(o136791, o136792)), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o142564)), java.lang.Object(java.lang.String(i25648))) → Load49897(java.lang.Object(ARRAY(i4, a142080data)), i24782 + 1, i24804 + -1, o136790new, o136790new)
JMP52935(java.lang.Object(ARRAY(i4, a142080data)), i25050, i24804, java.lang.Object(Tree(o136791, o136792)), java.lang.Object(Tree(o143649Field0, o143649Field1))) → Inc53049(java.lang.Object(ARRAY(i4, a142080data)), i25050, i24804, java.lang.Object(Tree(o136791, o136792)), java.lang.Object(Tree(o143649Field0, o143649Field1)))
Load49897(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(Tree(o136791, o136792)), java.lang.Object(Tree(java.lang.Object(Tree(o143649Field0, o143649Field1)), o142564))) → Load49897ARR4(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(Tree(o136791, o136792)), java.lang.Object(Tree(java.lang.Object(Tree(o143649Field0, o143649Field1)), o142564)), java.lang.Object(java.lang.String(i25648)))
Load49897ARR4(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(Tree(o136791, o136792)), java.lang.Object(Tree(java.lang.Object(Tree(o143649Field0, o143649Field1)), o142564)), java.lang.Object(java.lang.String(i25648))) → Cond_Load49897ARR4(i25648 > 0 && i24782 > 0 && i24782 < i4 && i24804 > 0 && i24782 + 1 > 0, java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(Tree(o136791, o136792)), java.lang.Object(Tree(java.lang.Object(Tree(o143649Field0, o143649Field1)), o142564)), java.lang.Object(java.lang.String(i25648)))
Cond_Load49897ARR4(TRUE, java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(Tree(o136791, o136792)), java.lang.Object(Tree(java.lang.Object(Tree(o143649Field0, o143649Field1)), o142564)), java.lang.Object(java.lang.String(i25648))) → Inc53049(java.lang.Object(ARRAY(i4, a142080data)), i24782 + 1, i24804, java.lang.Object(Tree(o136791, o136792)), java.lang.Object(Tree(o143649Field0, o143649Field1)))
Load49897(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(Tree(o136791, java.lang.Object(Tree(o143385Field0, o143385Field1)))), java.lang.Object(Tree(o136791, java.lang.Object(Tree(o143385Field0, o143385Field1))))) → Load49897ARR5(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(Tree(o136791, java.lang.Object(Tree(o143385Field0, o143385Field1)))), java.lang.Object(Tree(o136791, java.lang.Object(Tree(o143385Field0, o143385Field1)))), java.lang.Object(java.lang.String(i25649)))
Load49897ARR5(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(Tree(o136791, java.lang.Object(Tree(o143385Field0, o143385Field1)))), java.lang.Object(Tree(o136791, java.lang.Object(Tree(o143385Field0, o143385Field1)))), java.lang.Object(java.lang.String(i25649))) → Cond_Load49897ARR5(i25649 <= 0 && i24782 > 0 && i24782 < i4 && i24804 > 0 && i24782 + 1 > 0, java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(Tree(o136791, java.lang.Object(Tree(o143385Field0, o143385Field1)))), java.lang.Object(Tree(o136791, java.lang.Object(Tree(o143385Field0, o143385Field1)))), java.lang.Object(java.lang.String(i25649)))
Cond_Load49897ARR5(TRUE, java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(Tree(o136791, java.lang.Object(Tree(o143385Field0, o143385Field1)))), java.lang.Object(Tree(o136791, java.lang.Object(Tree(o143385Field0, o143385Field1)))), java.lang.Object(java.lang.String(i25649))) → Inc53049(java.lang.Object(ARRAY(i4, a142080data)), i24782 + 1, i24804, java.lang.Object(Tree(o136791, java.lang.Object(Tree(o143385Field0, o143385Field1)))), java.lang.Object(Tree(o143385Field0, o143385Field1)))
JMP55436(java.lang.Object(ARRAY(i4, a142080data)), i25050, i24804, java.lang.Object(Tree(o136791, o136792)), java.lang.Object(Tree(o136791, o136792))) → Inc55481(java.lang.Object(ARRAY(i4, a142080data)), i25050, i24804, java.lang.Object(Tree(o136791, o136792)), java.lang.Object(Tree(o136791, o136792)))
Load49897(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(Tree(o136791, o136792)), java.lang.Object(Tree(o142685, NULL))) → Load49897ARR6(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(Tree(o136791, o136792)), java.lang.Object(Tree(o142685, NULL)), java.lang.Object(java.lang.String(i25649)))
Load49897ARR6(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(Tree(o136791, o136792)), java.lang.Object(Tree(o142685, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(i25649))) → Cond_Load49897ARR6(i25649 <= 0 && i24782 > 0 && i24782 < i4 && i24804 > 0 && i24782 + 1 > 0, java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(Tree(o136791, o136792)), java.lang.Object(Tree(o142685, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(i25649)))
Cond_Load49897ARR6(TRUE, java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(Tree(o136791, o136792)), java.lang.Object(Tree(o142685, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(i25649))) → Inc55481(java.lang.Object(ARRAY(i4, a142080data)), i24782 + 1, i24804, o136790new, o136790new)
Load49897(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(Tree(NULL, o136792)), java.lang.Object(Tree(NULL, o136792))) → Load49897ARR7(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(Tree(NULL, o136792)), java.lang.Object(Tree(NULL, o136792)), java.lang.Object(java.lang.String(i25648)))
Load49897ARR7(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o136792)), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o136792)), java.lang.Object(java.lang.String(i25648))) → Cond_Load49897ARR7(i25648 > 0 && i24782 > 0 && i24782 < i4 && i24804 > 0 && i24782 + 1 > 0, java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o136792)), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o136792)), java.lang.Object(java.lang.String(i25648)))
Cond_Load49897ARR7(TRUE, java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o136792)), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o136792)), java.lang.Object(java.lang.String(i25648))) → JMP55387(java.lang.Object(ARRAY(i4, a142080data)), i24782 + 1, i24804, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o136792)), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o136792)))
Load49897(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(Tree(o136791, NULL)), java.lang.Object(Tree(o136791, NULL))) → Load49897ARR8(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(Tree(o136791, NULL)), java.lang.Object(Tree(o136791, NULL)), java.lang.Object(java.lang.String(i25649)))
Load49897ARR8(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(Tree(o136791, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(Tree(o136791, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(i25649))) → Cond_Load49897ARR8(i25649 <= 0 && i24782 > 0 && i24782 < i4 && i24804 > 0 && i24782 + 1 > 0, java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(Tree(o136791, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(Tree(o136791, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(i25649)))
Cond_Load49897ARR8(TRUE, java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(Tree(o136791, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(Tree(o136791, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(i25649))) → JMP55436(java.lang.Object(ARRAY(i4, a142080data)), i24782 + 1, i24804, java.lang.Object(Tree(o136791, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(Tree(o136791, java.lang.Object(Tree(NULL, NULL)))))
The set Q consists of the following terms:
Load49897ARR1(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(java.lang.Object(Tree(x4, x5)), x6)), java.lang.Object(Tree(java.lang.Object(Tree(x4, x5)), x6)), java.lang.Object(java.lang.String(x7)))
Cond_Load49897ARR1(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(java.lang.Object(Tree(x4, x5)), x6)), java.lang.Object(Tree(java.lang.Object(Tree(x4, x5)), x6)), java.lang.Object(java.lang.String(x7)))
Inc53049(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x6, x7)))
Load49897(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x6, java.lang.Object(Tree(x7, x8)))))
Load49897ARR2(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x6, java.lang.Object(Tree(x7, x8)))), java.lang.Object(java.lang.String(x9)))
Cond_Load49897ARR2(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x6, java.lang.Object(Tree(x7, x8)))), java.lang.Object(java.lang.String(x9)))
Inc55481(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x4, x5)))
JMP55387(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x4, x5)))
Load49897(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(NULL, x6)))
Load49897ARR3(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), x6)), java.lang.Object(java.lang.String(x7)))
Cond_Load49897ARR3(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), x6)), java.lang.Object(java.lang.String(x7)))
JMP52935(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x6, x7)))
Load49897(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(java.lang.Object(Tree(x6, x7)), x8)))
Load49897ARR4(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(java.lang.Object(Tree(x6, x7)), x8)), java.lang.Object(java.lang.String(x9)))
Cond_Load49897ARR4(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(java.lang.Object(Tree(x6, x7)), x8)), java.lang.Object(java.lang.String(x9)))
Load49897ARR5(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, java.lang.Object(Tree(x5, x6)))), java.lang.Object(Tree(x4, java.lang.Object(Tree(x5, x6)))), java.lang.Object(java.lang.String(x7)))
Cond_Load49897ARR5(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, java.lang.Object(Tree(x5, x6)))), java.lang.Object(Tree(x4, java.lang.Object(Tree(x5, x6)))), java.lang.Object(java.lang.String(x7)))
JMP55436(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x4, x5)))
Load49897(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x6, NULL)))
Load49897ARR6(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x6, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(x7)))
Cond_Load49897ARR6(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x6, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(x7)))
Load49897ARR7(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), x4)), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), x4)), java.lang.Object(java.lang.String(x5)))
Cond_Load49897ARR7(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), x4)), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), x4)), java.lang.Object(java.lang.String(x5)))
Load49897ARR8(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(Tree(x4, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(x5)))
Cond_Load49897ARR8(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(Tree(x4, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(x5)))

(19) DuplicateArgsRemoverProof (EQUIVALENT transformation)

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

JMP55436(x1, x2, x3, x4, x5) → JMP55436(x1, x2, x3, x5)
Cond_Load49897ARR8(x1, x2, x3, x4, x5, x6, x7) → Cond_Load49897ARR8(x1, x2, x3, x4, x6, x7)
Load49897ARR8(x1, x2, x3, x4, x5, x6) → Load49897ARR8(x1, x2, x3, x5, x6)
JMP55387(x1, x2, x3, x4, x5) → JMP55387(x1, x2, x3, x5)
Cond_Load49897ARR7(x1, x2, x3, x4, x5, x6, x7) → Cond_Load49897ARR7(x1, x2, x3, x4, x6, x7)
Load49897ARR7(x1, x2, x3, x4, x5, x6) → Load49897ARR7(x1, x2, x3, x5, x6)
Inc55481(x1, x2, x3, x4, x5) → Inc55481(x1, x2, x3, x5)
Cond_Load49897ARR5(x1, x2, x3, x4, x5, x6, x7) → Cond_Load49897ARR5(x1, x2, x3, x4, x6, x7)
Load49897ARR5(x1, x2, x3, x4, x5, x6) → Load49897ARR5(x1, x2, x3, x5, x6)
Cond_Load49897ARR1(x1, x2, x3, x4, x5, x6, x7) → Cond_Load49897ARR1(x1, x2, x3, x4, x6, x7)
Load49897ARR1(x1, x2, x3, x4, x5, x6) → Load49897ARR1(x1, x2, x3, x5, x6)

(20) Obligation:

ITRS problem:

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

The TRS R consists of the following rules:
Load49897(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(Tree(java.lang.Object(Tree(o143075Field0, o143075Field1)), o136792)), java.lang.Object(Tree(java.lang.Object(Tree(o143075Field0, o143075Field1)), o136792))) → Load49897ARR1(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(Tree(java.lang.Object(Tree(o143075Field0, o143075Field1)), o136792)), java.lang.Object(java.lang.String(i25648)))
Load49897ARR1(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(Tree(java.lang.Object(Tree(o143075Field0, o143075Field1)), o136792)), java.lang.Object(java.lang.String(i25648))) → Cond_Load49897ARR1(i25648 > 0 && i24782 > 0 && i24782 < i4 && i24804 > 0 && i24782 + 1 > 0, java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(Tree(java.lang.Object(Tree(o143075Field0, o143075Field1)), o136792)), java.lang.Object(java.lang.String(i25648)))
Cond_Load49897ARR1(TRUE, java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(Tree(java.lang.Object(Tree(o143075Field0, o143075Field1)), o136792)), java.lang.Object(java.lang.String(i25648))) → JMP52935(java.lang.Object(ARRAY(i4, a142080data)), i24782 + 1, i24804, java.lang.Object(Tree(java.lang.Object(Tree(o143075Field0, o143075Field1)), o136792)), java.lang.Object(Tree(o143075Field0, o143075Field1)))
Inc53049(java.lang.Object(ARRAY(i4, a142080data)), i25050, i24804, java.lang.Object(Tree(o136791, o136792)), java.lang.Object(Tree(o143951Field0, o143951Field1))) → Load49897(java.lang.Object(ARRAY(i4, a142080data)), i25050, i24804 + -1, java.lang.Object(Tree(o136791, o136792)), java.lang.Object(Tree(o143951Field0, o143951Field1)))
Load49897(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(Tree(o136791, o136792)), java.lang.Object(Tree(o142685, java.lang.Object(Tree(o143951Field0, o143951Field1))))) → Load49897ARR2(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(Tree(o136791, o136792)), java.lang.Object(Tree(o142685, java.lang.Object(Tree(o143951Field0, o143951Field1)))), java.lang.Object(java.lang.String(i25649)))
Load49897ARR2(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(Tree(o136791, o136792)), java.lang.Object(Tree(o142685, java.lang.Object(Tree(o143951Field0, o143951Field1)))), java.lang.Object(java.lang.String(i25649))) → Cond_Load49897ARR2(i25649 <= 0 && i24782 > 0 && i24782 < i4 && i24804 > 0 && i24782 + 1 > 0, java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(Tree(o136791, o136792)), java.lang.Object(Tree(o142685, java.lang.Object(Tree(o143951Field0, o143951Field1)))), java.lang.Object(java.lang.String(i25649)))
Cond_Load49897ARR2(TRUE, java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(Tree(o136791, o136792)), java.lang.Object(Tree(o142685, java.lang.Object(Tree(o143951Field0, o143951Field1)))), java.lang.Object(java.lang.String(i25649))) → Load49897(java.lang.Object(ARRAY(i4, a142080data)), i24782 + 1, i24804 + -1, java.lang.Object(Tree(o136791, o136792)), java.lang.Object(Tree(o143951Field0, o143951Field1)))
Inc55481(java.lang.Object(ARRAY(i4, a142080data)), i25050, i24804, java.lang.Object(Tree(o136791, o136792))) → Load49897(java.lang.Object(ARRAY(i4, a142080data)), i25050, i24804 + -1, java.lang.Object(Tree(o136791, o136792)), java.lang.Object(Tree(o136791, o136792)))
JMP55387(java.lang.Object(ARRAY(i4, a142080data)), i25050, i24804, java.lang.Object(Tree(o136791, o136792))) → Load49897(java.lang.Object(ARRAY(i4, a142080data)), i25050, i24804 + -1, java.lang.Object(Tree(o136791, o136792)), java.lang.Object(Tree(o136791, o136792)))
Load49897(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(Tree(o136791, o136792)), java.lang.Object(Tree(NULL, o142564))) → Load49897ARR3(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(Tree(o136791, o136792)), java.lang.Object(Tree(NULL, o142564)), java.lang.Object(java.lang.String(i25648)))
Load49897ARR3(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(Tree(o136791, o136792)), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o142564)), java.lang.Object(java.lang.String(i25648))) → Cond_Load49897ARR3(i25648 > 0 && i24782 > 0 && i24782 < i4 && i24804 > 0 && i24782 + 1 > 0, java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(Tree(o136791, o136792)), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o142564)), java.lang.Object(java.lang.String(i25648)))
Cond_Load49897ARR3(TRUE, java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(Tree(o136791, o136792)), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o142564)), java.lang.Object(java.lang.String(i25648))) → Load49897(java.lang.Object(ARRAY(i4, a142080data)), i24782 + 1, i24804 + -1, o136790new, o136790new)
JMP52935(java.lang.Object(ARRAY(i4, a142080data)), i25050, i24804, java.lang.Object(Tree(o136791, o136792)), java.lang.Object(Tree(o143649Field0, o143649Field1))) → Inc53049(java.lang.Object(ARRAY(i4, a142080data)), i25050, i24804, java.lang.Object(Tree(o136791, o136792)), java.lang.Object(Tree(o143649Field0, o143649Field1)))
Load49897(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(Tree(o136791, o136792)), java.lang.Object(Tree(java.lang.Object(Tree(o143649Field0, o143649Field1)), o142564))) → Load49897ARR4(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(Tree(o136791, o136792)), java.lang.Object(Tree(java.lang.Object(Tree(o143649Field0, o143649Field1)), o142564)), java.lang.Object(java.lang.String(i25648)))
Load49897ARR4(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(Tree(o136791, o136792)), java.lang.Object(Tree(java.lang.Object(Tree(o143649Field0, o143649Field1)), o142564)), java.lang.Object(java.lang.String(i25648))) → Cond_Load49897ARR4(i25648 > 0 && i24782 > 0 && i24782 < i4 && i24804 > 0 && i24782 + 1 > 0, java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(Tree(o136791, o136792)), java.lang.Object(Tree(java.lang.Object(Tree(o143649Field0, o143649Field1)), o142564)), java.lang.Object(java.lang.String(i25648)))
Cond_Load49897ARR4(TRUE, java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(Tree(o136791, o136792)), java.lang.Object(Tree(java.lang.Object(Tree(o143649Field0, o143649Field1)), o142564)), java.lang.Object(java.lang.String(i25648))) → Inc53049(java.lang.Object(ARRAY(i4, a142080data)), i24782 + 1, i24804, java.lang.Object(Tree(o136791, o136792)), java.lang.Object(Tree(o143649Field0, o143649Field1)))
Load49897(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(Tree(o136791, java.lang.Object(Tree(o143385Field0, o143385Field1)))), java.lang.Object(Tree(o136791, java.lang.Object(Tree(o143385Field0, o143385Field1))))) → Load49897ARR5(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(Tree(o136791, java.lang.Object(Tree(o143385Field0, o143385Field1)))), java.lang.Object(java.lang.String(i25649)))
Load49897ARR5(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(Tree(o136791, java.lang.Object(Tree(o143385Field0, o143385Field1)))), java.lang.Object(java.lang.String(i25649))) → Cond_Load49897ARR5(i25649 <= 0 && i24782 > 0 && i24782 < i4 && i24804 > 0 && i24782 + 1 > 0, java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(Tree(o136791, java.lang.Object(Tree(o143385Field0, o143385Field1)))), java.lang.Object(java.lang.String(i25649)))
Cond_Load49897ARR5(TRUE, java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(Tree(o136791, java.lang.Object(Tree(o143385Field0, o143385Field1)))), java.lang.Object(java.lang.String(i25649))) → Inc53049(java.lang.Object(ARRAY(i4, a142080data)), i24782 + 1, i24804, java.lang.Object(Tree(o136791, java.lang.Object(Tree(o143385Field0, o143385Field1)))), java.lang.Object(Tree(o143385Field0, o143385Field1)))
JMP55436(java.lang.Object(ARRAY(i4, a142080data)), i25050, i24804, java.lang.Object(Tree(o136791, o136792))) → Inc55481(java.lang.Object(ARRAY(i4, a142080data)), i25050, i24804, java.lang.Object(Tree(o136791, o136792)))
Load49897(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(Tree(o136791, o136792)), java.lang.Object(Tree(o142685, NULL))) → Load49897ARR6(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(Tree(o136791, o136792)), java.lang.Object(Tree(o142685, NULL)), java.lang.Object(java.lang.String(i25649)))
Load49897ARR6(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(Tree(o136791, o136792)), java.lang.Object(Tree(o142685, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(i25649))) → Cond_Load49897ARR6(i25649 <= 0 && i24782 > 0 && i24782 < i4 && i24804 > 0 && i24782 + 1 > 0, java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(Tree(o136791, o136792)), java.lang.Object(Tree(o142685, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(i25649)))
Cond_Load49897ARR6(TRUE, java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(Tree(o136791, o136792)), java.lang.Object(Tree(o142685, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(i25649))) → Inc55481(java.lang.Object(ARRAY(i4, a142080data)), i24782 + 1, i24804, o136790new)
Load49897(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(Tree(NULL, o136792)), java.lang.Object(Tree(NULL, o136792))) → Load49897ARR7(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(Tree(NULL, o136792)), java.lang.Object(java.lang.String(i25648)))
Load49897ARR7(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o136792)), java.lang.Object(java.lang.String(i25648))) → Cond_Load49897ARR7(i25648 > 0 && i24782 > 0 && i24782 < i4 && i24804 > 0 && i24782 + 1 > 0, java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o136792)), java.lang.Object(java.lang.String(i25648)))
Cond_Load49897ARR7(TRUE, java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o136792)), java.lang.Object(java.lang.String(i25648))) → JMP55387(java.lang.Object(ARRAY(i4, a142080data)), i24782 + 1, i24804, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o136792)))
Load49897(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(Tree(o136791, NULL)), java.lang.Object(Tree(o136791, NULL))) → Load49897ARR8(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(Tree(o136791, NULL)), java.lang.Object(java.lang.String(i25649)))
Load49897ARR8(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(Tree(o136791, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(i25649))) → Cond_Load49897ARR8(i25649 <= 0 && i24782 > 0 && i24782 < i4 && i24804 > 0 && i24782 + 1 > 0, java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(Tree(o136791, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(i25649)))
Cond_Load49897ARR8(TRUE, java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(Tree(o136791, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(i25649))) → JMP55436(java.lang.Object(ARRAY(i4, a142080data)), i24782 + 1, i24804, java.lang.Object(Tree(o136791, java.lang.Object(Tree(NULL, NULL)))))
The set Q consists of the following terms:
Load49897ARR1(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(java.lang.Object(Tree(x4, x5)), x6)), java.lang.Object(java.lang.String(x7)))
Cond_Load49897ARR1(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(java.lang.Object(Tree(x4, x5)), x6)), java.lang.Object(java.lang.String(x7)))
Inc53049(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x6, x7)))
Load49897(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x6, java.lang.Object(Tree(x7, x8)))))
Load49897ARR2(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x6, java.lang.Object(Tree(x7, x8)))), java.lang.Object(java.lang.String(x9)))
Cond_Load49897ARR2(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x6, java.lang.Object(Tree(x7, x8)))), java.lang.Object(java.lang.String(x9)))
Inc55481(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)))
JMP55387(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)))
Load49897(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(NULL, x6)))
Load49897ARR3(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), x6)), java.lang.Object(java.lang.String(x7)))
Cond_Load49897ARR3(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), x6)), java.lang.Object(java.lang.String(x7)))
JMP52935(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x6, x7)))
Load49897(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(java.lang.Object(Tree(x6, x7)), x8)))
Load49897ARR4(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(java.lang.Object(Tree(x6, x7)), x8)), java.lang.Object(java.lang.String(x9)))
Cond_Load49897ARR4(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(java.lang.Object(Tree(x6, x7)), x8)), java.lang.Object(java.lang.String(x9)))
Load49897ARR5(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, java.lang.Object(Tree(x5, x6)))), java.lang.Object(java.lang.String(x7)))
Cond_Load49897ARR5(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, java.lang.Object(Tree(x5, x6)))), java.lang.Object(java.lang.String(x7)))
JMP55436(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)))
Load49897(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x6, NULL)))
Load49897ARR6(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x6, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(x7)))
Cond_Load49897ARR6(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x6, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(x7)))
Load49897ARR7(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), x4)), java.lang.Object(java.lang.String(x5)))
Cond_Load49897ARR7(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), x4)), java.lang.Object(java.lang.String(x5)))
Load49897ARR8(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(x5)))
Cond_Load49897ARR8(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(x5)))

(21) ITRSFilterProcessorProof (SOUND transformation)

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

Load49897(x1, x2, x3, x4, x5) → Load49897(x1, x2, x3)
Tree(x1, x2) → Tree
Load49897ARR1(x1, x2, x3, x4, x5) → Load49897ARR1(x1, x2, x3, x5)
Cond_Load49897ARR1(x1, x2, x3, x4, x5, x6) → Cond_Load49897ARR1(x1, x2, x3, x4, x6)
JMP52935(x1, x2, x3, x4, x5) → JMP52935(x1, x2, x3)
Inc53049(x1, x2, x3, x4, x5) → Inc53049(x1, x2, x3)
Load49897ARR2(x1, x2, x3, x4, x5, x6) → Load49897ARR2(x1, x2, x3, x6)
Cond_Load49897ARR2(x1, x2, x3, x4, x5, x6, x7) → Cond_Load49897ARR2(x1, x2, x3, x4, x7)
Inc55481(x1, x2, x3, x4) → Inc55481(x1, x2, x3)
JMP55387(x1, x2, x3, x4) → JMP55387(x1, x2, x3)
Load49897ARR3(x1, x2, x3, x4, x5, x6) → Load49897ARR3(x1, x2, x3, x6)
Cond_Load49897ARR3(x1, x2, x3, x4, x5, x6, x7) → Cond_Load49897ARR3(x1, x2, x3, x4, x7)
Load49897ARR4(x1, x2, x3, x4, x5, x6) → Load49897ARR4(x1, x2, x3, x6)
Cond_Load49897ARR4(x1, x2, x3, x4, x5, x6, x7) → Cond_Load49897ARR4(x1, x2, x3, x4, x7)
Load49897ARR5(x1, x2, x3, x4, x5) → Load49897ARR5(x1, x2, x3, x5)
Cond_Load49897ARR5(x1, x2, x3, x4, x5, x6) → Cond_Load49897ARR5(x1, x2, x3, x4, x6)
JMP55436(x1, x2, x3, x4) → JMP55436(x1, x2, x3)
Load49897ARR6(x1, x2, x3, x4, x5, x6) → Load49897ARR6(x1, x2, x3, x6)
Cond_Load49897ARR6(x1, x2, x3, x4, x5, x6, x7) → Cond_Load49897ARR6(x1, x2, x3, x4, x7)
Load49897ARR7(x1, x2, x3, x4, x5) → Load49897ARR7(x1, x2, x3, x5)
Cond_Load49897ARR7(x1, x2, x3, x4, x5, x6) → Cond_Load49897ARR7(x1, x2, x3, x4, x6)
Load49897ARR8(x1, x2, x3, x4, x5) → Load49897ARR8(x1, x2, x3, x5)
Cond_Load49897ARR8(x1, x2, x3, x4, x5, x6) → Cond_Load49897ARR8(x1, x2, x3, x4, x6)

(22) Obligation:

ITRS problem:

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

The TRS R consists of the following rules:
Load49897(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804) → Load49897ARR1(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25648)))
Load49897ARR1(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25648))) → Cond_Load49897ARR1(i25648 > 0 && i24782 > 0 && i24782 < i4 && i24804 > 0 && i24782 + 1 > 0, java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25648)))
Cond_Load49897ARR1(TRUE, java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25648))) → JMP52935(java.lang.Object(ARRAY(i4, a142080data)), i24782 + 1, i24804)
Inc53049(java.lang.Object(ARRAY(i4, a142080data)), i25050, i24804) → Load49897(java.lang.Object(ARRAY(i4, a142080data)), i25050, i24804 + -1)
Load49897(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804) → Load49897ARR2(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25649)))
Load49897ARR2(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25649))) → Cond_Load49897ARR2(i25649 <= 0 && i24782 > 0 && i24782 < i4 && i24804 > 0 && i24782 + 1 > 0, java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25649)))
Cond_Load49897ARR2(TRUE, java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25649))) → Load49897(java.lang.Object(ARRAY(i4, a142080data)), i24782 + 1, i24804 + -1)
Inc55481(java.lang.Object(ARRAY(i4, a142080data)), i25050, i24804) → Load49897(java.lang.Object(ARRAY(i4, a142080data)), i25050, i24804 + -1)
JMP55387(java.lang.Object(ARRAY(i4, a142080data)), i25050, i24804) → Load49897(java.lang.Object(ARRAY(i4, a142080data)), i25050, i24804 + -1)
Load49897(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804) → Load49897ARR3(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25648)))
Load49897ARR3(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25648))) → Cond_Load49897ARR3(i25648 > 0 && i24782 > 0 && i24782 < i4 && i24804 > 0 && i24782 + 1 > 0, java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25648)))
Cond_Load49897ARR3(TRUE, java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25648))) → Load49897(java.lang.Object(ARRAY(i4, a142080data)), i24782 + 1, i24804 + -1)
JMP52935(java.lang.Object(ARRAY(i4, a142080data)), i25050, i24804) → Inc53049(java.lang.Object(ARRAY(i4, a142080data)), i25050, i24804)
Load49897(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804) → Load49897ARR4(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25648)))
Load49897ARR4(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25648))) → Cond_Load49897ARR4(i25648 > 0 && i24782 > 0 && i24782 < i4 && i24804 > 0 && i24782 + 1 > 0, java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25648)))
Cond_Load49897ARR4(TRUE, java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25648))) → Inc53049(java.lang.Object(ARRAY(i4, a142080data)), i24782 + 1, i24804)
Load49897(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804) → Load49897ARR5(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25649)))
Load49897ARR5(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25649))) → Cond_Load49897ARR5(i25649 <= 0 && i24782 > 0 && i24782 < i4 && i24804 > 0 && i24782 + 1 > 0, java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25649)))
Cond_Load49897ARR5(TRUE, java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25649))) → Inc53049(java.lang.Object(ARRAY(i4, a142080data)), i24782 + 1, i24804)
JMP55436(java.lang.Object(ARRAY(i4, a142080data)), i25050, i24804) → Inc55481(java.lang.Object(ARRAY(i4, a142080data)), i25050, i24804)
Load49897(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804) → Load49897ARR6(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25649)))
Load49897ARR6(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25649))) → Cond_Load49897ARR6(i25649 <= 0 && i24782 > 0 && i24782 < i4 && i24804 > 0 && i24782 + 1 > 0, java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25649)))
Cond_Load49897ARR6(TRUE, java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25649))) → Inc55481(java.lang.Object(ARRAY(i4, a142080data)), i24782 + 1, i24804)
Load49897(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804) → Load49897ARR7(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25648)))
Load49897ARR7(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25648))) → Cond_Load49897ARR7(i25648 > 0 && i24782 > 0 && i24782 < i4 && i24804 > 0 && i24782 + 1 > 0, java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25648)))
Cond_Load49897ARR7(TRUE, java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25648))) → JMP55387(java.lang.Object(ARRAY(i4, a142080data)), i24782 + 1, i24804)
Load49897(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804) → Load49897ARR8(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25649)))
Load49897ARR8(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25649))) → Cond_Load49897ARR8(i25649 <= 0 && i24782 > 0 && i24782 < i4 && i24804 > 0 && i24782 + 1 > 0, java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25649)))
Cond_Load49897ARR8(TRUE, java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25649))) → JMP55436(java.lang.Object(ARRAY(i4, a142080data)), i24782 + 1, i24804)
The set Q consists of the following terms:
Load49897(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load49897ARR1(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load49897ARR1(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Inc53049(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load49897ARR2(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load49897ARR2(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Inc55481(java.lang.Object(ARRAY(x0, x1)), x2, x3)
JMP55387(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load49897ARR3(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load49897ARR3(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
JMP52935(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load49897ARR4(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load49897ARR4(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Load49897ARR5(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load49897ARR5(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
JMP55436(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load49897ARR6(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load49897ARR6(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Load49897ARR7(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load49897ARR7(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Load49897ARR8(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load49897ARR8(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))

(23) ITRSFSMergerProof (SOUND transformation)

The following function symbols have been merged:

Load49897ARR4, Load49897ARR7
 > Load49897ARR4_4

Cond_Load49897ARR4, Cond_Load49897ARR7
 > Cond_Load49897ARR4_5

Inc53049, Inc55481, JMP55387
 > Inc53049_3

Load49897ARR5, Load49897ARR6
 > Load49897ARR5_4

JMP52935, JMP55436
 > JMP52935_3

Cond_Load49897ARR5, Cond_Load49897ARR6
 > Cond_Load49897ARR5_5

(24) Obligation:

ITRS problem:

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

The TRS R consists of the following rules:
Load49897(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804) → Load49897ARR1(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25648)))
Load49897ARR1(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25648))) → Cond_Load49897ARR1(i25648 > 0 && i24782 > 0 && i24782 < i4 && i24804 > 0 && i24782 + 1 > 0, java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25648)))
Cond_Load49897ARR1(TRUE, java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25648))) → JMP52935(java.lang.Object(ARRAY(i4, a142080data)), i24782 + 1, i24804)
Inc53049(java.lang.Object(ARRAY(i4, a142080data)), i25050, i24804) → Load49897(java.lang.Object(ARRAY(i4, a142080data)), i25050, i24804 + -1)
Load49897(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804) → Load49897ARR2(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25649)))
Load49897ARR2(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25649))) → Cond_Load49897ARR2(i25649 <= 0 && i24782 > 0 && i24782 < i4 && i24804 > 0 && i24782 + 1 > 0, java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25649)))
Cond_Load49897ARR2(TRUE, java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25649))) → Load49897(java.lang.Object(ARRAY(i4, a142080data)), i24782 + 1, i24804 + -1)
Load49897(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804) → Load49897ARR3(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25648)))
Load49897ARR3(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25648))) → Cond_Load49897ARR3(i25648 > 0 && i24782 > 0 && i24782 < i4 && i24804 > 0 && i24782 + 1 > 0, java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25648)))
Cond_Load49897ARR3(TRUE, java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25648))) → Load49897(java.lang.Object(ARRAY(i4, a142080data)), i24782 + 1, i24804 + -1)
JMP52935(java.lang.Object(ARRAY(i4, a142080data)), i25050, i24804) → Inc53049(java.lang.Object(ARRAY(i4, a142080data)), i25050, i24804)
Load49897(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804) → Load49897ARR4(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25648)))
Load49897ARR4(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25648))) → Cond_Load49897ARR4(i25648 > 0 && i24782 > 0 && i24782 < i4 && i24804 > 0 && i24782 + 1 > 0, java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25648)))
Cond_Load49897ARR4(TRUE, java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25648))) → Inc53049(java.lang.Object(ARRAY(i4, a142080data)), i24782 + 1, i24804)
Load49897(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804) → Load49897ARR5(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25649)))
Load49897ARR5(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25649))) → Cond_Load49897ARR5(i25649 <= 0 && i24782 > 0 && i24782 < i4 && i24804 > 0 && i24782 + 1 > 0, java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25649)))
Cond_Load49897ARR5(TRUE, java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25649))) → Inc53049(java.lang.Object(ARRAY(i4, a142080data)), i24782 + 1, i24804)
Load49897(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804) → Load49897ARR8(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25649)))
Load49897ARR8(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25649))) → Cond_Load49897ARR8(i25649 <= 0 && i24782 > 0 && i24782 < i4 && i24804 > 0 && i24782 + 1 > 0, java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25649)))
Cond_Load49897ARR8(TRUE, java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25649))) → JMP52935(java.lang.Object(ARRAY(i4, a142080data)), i24782 + 1, i24804)
The set Q consists of the following terms:
Load49897(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load49897ARR1(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load49897ARR1(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Inc53049(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load49897ARR2(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load49897ARR2(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Load49897ARR3(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load49897ARR3(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
JMP52935(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load49897ARR4(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load49897ARR4(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Load49897ARR5(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load49897ARR5(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Load49897ARR8(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load49897ARR8(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))

(25) ITRStoIDPProof (EQUIVALENT transformation)

Added dependency pairs

(26) Obligation:

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


The following domains are used:

Boolean, Integer


The ITRS R consists of the following rules:
Load49897(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804) → Load49897ARR1(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25648)))
Load49897ARR1(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25648))) → Cond_Load49897ARR1(i25648 > 0 && i24782 > 0 && i24782 < i4 && i24804 > 0 && i24782 + 1 > 0, java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25648)))
Cond_Load49897ARR1(TRUE, java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25648))) → JMP52935(java.lang.Object(ARRAY(i4, a142080data)), i24782 + 1, i24804)
Inc53049(java.lang.Object(ARRAY(i4, a142080data)), i25050, i24804) → Load49897(java.lang.Object(ARRAY(i4, a142080data)), i25050, i24804 + -1)
Load49897(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804) → Load49897ARR2(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25649)))
Load49897ARR2(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25649))) → Cond_Load49897ARR2(i25649 <= 0 && i24782 > 0 && i24782 < i4 && i24804 > 0 && i24782 + 1 > 0, java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25649)))
Cond_Load49897ARR2(TRUE, java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25649))) → Load49897(java.lang.Object(ARRAY(i4, a142080data)), i24782 + 1, i24804 + -1)
Load49897(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804) → Load49897ARR3(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25648)))
Load49897ARR3(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25648))) → Cond_Load49897ARR3(i25648 > 0 && i24782 > 0 && i24782 < i4 && i24804 > 0 && i24782 + 1 > 0, java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25648)))
Cond_Load49897ARR3(TRUE, java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25648))) → Load49897(java.lang.Object(ARRAY(i4, a142080data)), i24782 + 1, i24804 + -1)
JMP52935(java.lang.Object(ARRAY(i4, a142080data)), i25050, i24804) → Inc53049(java.lang.Object(ARRAY(i4, a142080data)), i25050, i24804)
Load49897(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804) → Load49897ARR4(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25648)))
Load49897ARR4(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25648))) → Cond_Load49897ARR4(i25648 > 0 && i24782 > 0 && i24782 < i4 && i24804 > 0 && i24782 + 1 > 0, java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25648)))
Cond_Load49897ARR4(TRUE, java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25648))) → Inc53049(java.lang.Object(ARRAY(i4, a142080data)), i24782 + 1, i24804)
Load49897(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804) → Load49897ARR5(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25649)))
Load49897ARR5(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25649))) → Cond_Load49897ARR5(i25649 <= 0 && i24782 > 0 && i24782 < i4 && i24804 > 0 && i24782 + 1 > 0, java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25649)))
Cond_Load49897ARR5(TRUE, java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25649))) → Inc53049(java.lang.Object(ARRAY(i4, a142080data)), i24782 + 1, i24804)
Load49897(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804) → Load49897ARR8(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25649)))
Load49897ARR8(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25649))) → Cond_Load49897ARR8(i25649 <= 0 && i24782 > 0 && i24782 < i4 && i24804 > 0 && i24782 + 1 > 0, java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25649)))
Cond_Load49897ARR8(TRUE, java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25649))) → JMP52935(java.lang.Object(ARRAY(i4, a142080data)), i24782 + 1, i24804)

The integer pair graph contains the following rules and edges:
(0): LOAD49897(java.lang.Object(ARRAY(i4[0], a142080data[0])), i24782[0], i24804[0]) → LOAD49897ARR1(java.lang.Object(ARRAY(i4[0], a142080data[0])), i24782[0], i24804[0], java.lang.Object(java.lang.String(i25648[0])))
(1): LOAD49897ARR1(java.lang.Object(ARRAY(i4[1], a142080data[1])), i24782[1], i24804[1], java.lang.Object(java.lang.String(i25648[1]))) → COND_LOAD49897ARR1(i25648[1] > 0 && i24782[1] > 0 && i24782[1] < i4[1] && i24804[1] > 0 && i24782[1] + 1 > 0, java.lang.Object(ARRAY(i4[1], a142080data[1])), i24782[1], i24804[1], java.lang.Object(java.lang.String(i25648[1])))
(2): COND_LOAD49897ARR1(TRUE, java.lang.Object(ARRAY(i4[2], a142080data[2])), i24782[2], i24804[2], java.lang.Object(java.lang.String(i25648[2]))) → JMP52935'(java.lang.Object(ARRAY(i4[2], a142080data[2])), i24782[2] + 1, i24804[2])
(3): INC53049(java.lang.Object(ARRAY(i4[3], a142080data[3])), i25050[3], i24804[3]) → LOAD49897(java.lang.Object(ARRAY(i4[3], a142080data[3])), i25050[3], i24804[3] + -1)
(4): LOAD49897(java.lang.Object(ARRAY(i4[4], a142080data[4])), i24782[4], i24804[4]) → LOAD49897ARR2(java.lang.Object(ARRAY(i4[4], a142080data[4])), i24782[4], i24804[4], java.lang.Object(java.lang.String(i25649[4])))
(5): LOAD49897ARR2(java.lang.Object(ARRAY(i4[5], a142080data[5])), i24782[5], i24804[5], java.lang.Object(java.lang.String(i25649[5]))) → COND_LOAD49897ARR2(i25649[5] <= 0 && i24782[5] > 0 && i24782[5] < i4[5] && i24804[5] > 0 && i24782[5] + 1 > 0, java.lang.Object(ARRAY(i4[5], a142080data[5])), i24782[5], i24804[5], java.lang.Object(java.lang.String(i25649[5])))
(6): COND_LOAD49897ARR2(TRUE, java.lang.Object(ARRAY(i4[6], a142080data[6])), i24782[6], i24804[6], java.lang.Object(java.lang.String(i25649[6]))) → LOAD49897(java.lang.Object(ARRAY(i4[6], a142080data[6])), i24782[6] + 1, i24804[6] + -1)
(7): LOAD49897(java.lang.Object(ARRAY(i4[7], a142080data[7])), i24782[7], i24804[7]) → LOAD49897ARR3(java.lang.Object(ARRAY(i4[7], a142080data[7])), i24782[7], i24804[7], java.lang.Object(java.lang.String(i25648[7])))
(8): LOAD49897ARR3(java.lang.Object(ARRAY(i4[8], a142080data[8])), i24782[8], i24804[8], java.lang.Object(java.lang.String(i25648[8]))) → COND_LOAD49897ARR3(i25648[8] > 0 && i24782[8] > 0 && i24782[8] < i4[8] && i24804[8] > 0 && i24782[8] + 1 > 0, java.lang.Object(ARRAY(i4[8], a142080data[8])), i24782[8], i24804[8], java.lang.Object(java.lang.String(i25648[8])))
(9): COND_LOAD49897ARR3(TRUE, java.lang.Object(ARRAY(i4[9], a142080data[9])), i24782[9], i24804[9], java.lang.Object(java.lang.String(i25648[9]))) → LOAD49897(java.lang.Object(ARRAY(i4[9], a142080data[9])), i24782[9] + 1, i24804[9] + -1)
(10): JMP52935'(java.lang.Object(ARRAY(i4[10], a142080data[10])), i25050[10], i24804[10]) → INC53049(java.lang.Object(ARRAY(i4[10], a142080data[10])), i25050[10], i24804[10])
(11): LOAD49897(java.lang.Object(ARRAY(i4[11], a142080data[11])), i24782[11], i24804[11]) → LOAD49897ARR4(java.lang.Object(ARRAY(i4[11], a142080data[11])), i24782[11], i24804[11], java.lang.Object(java.lang.String(i25648[11])))
(12): LOAD49897ARR4(java.lang.Object(ARRAY(i4[12], a142080data[12])), i24782[12], i24804[12], java.lang.Object(java.lang.String(i25648[12]))) → COND_LOAD49897ARR4(i25648[12] > 0 && i24782[12] > 0 && i24782[12] < i4[12] && i24804[12] > 0 && i24782[12] + 1 > 0, java.lang.Object(ARRAY(i4[12], a142080data[12])), i24782[12], i24804[12], java.lang.Object(java.lang.String(i25648[12])))
(13): COND_LOAD49897ARR4(TRUE, java.lang.Object(ARRAY(i4[13], a142080data[13])), i24782[13], i24804[13], java.lang.Object(java.lang.String(i25648[13]))) → INC53049(java.lang.Object(ARRAY(i4[13], a142080data[13])), i24782[13] + 1, i24804[13])
(14): LOAD49897(java.lang.Object(ARRAY(i4[14], a142080data[14])), i24782[14], i24804[14]) → LOAD49897ARR5(java.lang.Object(ARRAY(i4[14], a142080data[14])), i24782[14], i24804[14], java.lang.Object(java.lang.String(i25649[14])))
(15): LOAD49897ARR5(java.lang.Object(ARRAY(i4[15], a142080data[15])), i24782[15], i24804[15], java.lang.Object(java.lang.String(i25649[15]))) → COND_LOAD49897ARR5(i25649[15] <= 0 && i24782[15] > 0 && i24782[15] < i4[15] && i24804[15] > 0 && i24782[15] + 1 > 0, java.lang.Object(ARRAY(i4[15], a142080data[15])), i24782[15], i24804[15], java.lang.Object(java.lang.String(i25649[15])))
(16): COND_LOAD49897ARR5(TRUE, java.lang.Object(ARRAY(i4[16], a142080data[16])), i24782[16], i24804[16], java.lang.Object(java.lang.String(i25649[16]))) → INC53049(java.lang.Object(ARRAY(i4[16], a142080data[16])), i24782[16] + 1, i24804[16])
(17): LOAD49897(java.lang.Object(ARRAY(i4[17], a142080data[17])), i24782[17], i24804[17]) → LOAD49897ARR8(java.lang.Object(ARRAY(i4[17], a142080data[17])), i24782[17], i24804[17], java.lang.Object(java.lang.String(i25649[17])))
(18): LOAD49897ARR8(java.lang.Object(ARRAY(i4[18], a142080data[18])), i24782[18], i24804[18], java.lang.Object(java.lang.String(i25649[18]))) → COND_LOAD49897ARR8(i25649[18] <= 0 && i24782[18] > 0 && i24782[18] < i4[18] && i24804[18] > 0 && i24782[18] + 1 > 0, java.lang.Object(ARRAY(i4[18], a142080data[18])), i24782[18], i24804[18], java.lang.Object(java.lang.String(i25649[18])))
(19): COND_LOAD49897ARR8(TRUE, java.lang.Object(ARRAY(i4[19], a142080data[19])), i24782[19], i24804[19], java.lang.Object(java.lang.String(i25649[19]))) → JMP52935'(java.lang.Object(ARRAY(i4[19], a142080data[19])), i24782[19] + 1, i24804[19])

(0) -> (1), if ((java.lang.Object(java.lang.String(i25648[0])) →* java.lang.Object(java.lang.String(i25648[1])))∧(i24804[0] →* i24804[1])∧(i24782[0] →* i24782[1])∧(java.lang.Object(ARRAY(i4[0], a142080data[0])) →* java.lang.Object(ARRAY(i4[1], a142080data[1]))))


(1) -> (2), if ((i24804[1] →* i24804[2])∧(i24782[1] →* i24782[2])∧(java.lang.Object(ARRAY(i4[1], a142080data[1])) →* java.lang.Object(ARRAY(i4[2], a142080data[2])))∧(java.lang.Object(java.lang.String(i25648[1])) →* java.lang.Object(java.lang.String(i25648[2])))∧(i25648[1] > 0 && i24782[1] > 0 && i24782[1] < i4[1] && i24804[1] > 0 && i24782[1] + 1 > 0 →* TRUE))


(2) -> (10), if ((i24782[2] + 1 →* i25050[10])∧(i24804[2] →* i24804[10])∧(java.lang.Object(ARRAY(i4[2], a142080data[2])) →* java.lang.Object(ARRAY(i4[10], a142080data[10]))))


(3) -> (0), if ((java.lang.Object(ARRAY(i4[3], a142080data[3])) →* java.lang.Object(ARRAY(i4[0], a142080data[0])))∧(i24804[3] + -1 →* i24804[0])∧(i25050[3] →* i24782[0]))


(3) -> (4), if ((i24804[3] + -1 →* i24804[4])∧(i25050[3] →* i24782[4])∧(java.lang.Object(ARRAY(i4[3], a142080data[3])) →* java.lang.Object(ARRAY(i4[4], a142080data[4]))))


(3) -> (7), if ((i25050[3] →* i24782[7])∧(i24804[3] + -1 →* i24804[7])∧(java.lang.Object(ARRAY(i4[3], a142080data[3])) →* java.lang.Object(ARRAY(i4[7], a142080data[7]))))


(3) -> (11), if ((i24804[3] + -1 →* i24804[11])∧(i25050[3] →* i24782[11])∧(java.lang.Object(ARRAY(i4[3], a142080data[3])) →* java.lang.Object(ARRAY(i4[11], a142080data[11]))))


(3) -> (14), if ((i24804[3] + -1 →* i24804[14])∧(i25050[3] →* i24782[14])∧(java.lang.Object(ARRAY(i4[3], a142080data[3])) →* java.lang.Object(ARRAY(i4[14], a142080data[14]))))


(3) -> (17), if ((i25050[3] →* i24782[17])∧(i24804[3] + -1 →* i24804[17])∧(java.lang.Object(ARRAY(i4[3], a142080data[3])) →* java.lang.Object(ARRAY(i4[17], a142080data[17]))))


(4) -> (5), if ((java.lang.Object(java.lang.String(i25649[4])) →* java.lang.Object(java.lang.String(i25649[5])))∧(java.lang.Object(ARRAY(i4[4], a142080data[4])) →* java.lang.Object(ARRAY(i4[5], a142080data[5])))∧(i24782[4] →* i24782[5])∧(i24804[4] →* i24804[5]))


(5) -> (6), if ((java.lang.Object(java.lang.String(i25649[5])) →* java.lang.Object(java.lang.String(i25649[6])))∧(i24782[5] →* i24782[6])∧(java.lang.Object(ARRAY(i4[5], a142080data[5])) →* java.lang.Object(ARRAY(i4[6], a142080data[6])))∧(i25649[5] <= 0 && i24782[5] > 0 && i24782[5] < i4[5] && i24804[5] > 0 && i24782[5] + 1 > 0 →* TRUE)∧(i24804[5] →* i24804[6]))


(6) -> (0), if ((java.lang.Object(ARRAY(i4[6], a142080data[6])) →* java.lang.Object(ARRAY(i4[0], a142080data[0])))∧(i24804[6] + -1 →* i24804[0])∧(i24782[6] + 1 →* i24782[0]))


(6) -> (4), if ((i24782[6] + 1 →* i24782[4])∧(java.lang.Object(ARRAY(i4[6], a142080data[6])) →* java.lang.Object(ARRAY(i4[4], a142080data[4])))∧(i24804[6] + -1 →* i24804[4]))


(6) -> (7), if ((i24804[6] + -1 →* i24804[7])∧(i24782[6] + 1 →* i24782[7])∧(java.lang.Object(ARRAY(i4[6], a142080data[6])) →* java.lang.Object(ARRAY(i4[7], a142080data[7]))))


(6) -> (11), if ((java.lang.Object(ARRAY(i4[6], a142080data[6])) →* java.lang.Object(ARRAY(i4[11], a142080data[11])))∧(i24804[6] + -1 →* i24804[11])∧(i24782[6] + 1 →* i24782[11]))


(6) -> (14), if ((java.lang.Object(ARRAY(i4[6], a142080data[6])) →* java.lang.Object(ARRAY(i4[14], a142080data[14])))∧(i24804[6] + -1 →* i24804[14])∧(i24782[6] + 1 →* i24782[14]))


(6) -> (17), if ((i24804[6] + -1 →* i24804[17])∧(java.lang.Object(ARRAY(i4[6], a142080data[6])) →* java.lang.Object(ARRAY(i4[17], a142080data[17])))∧(i24782[6] + 1 →* i24782[17]))


(7) -> (8), if ((java.lang.Object(ARRAY(i4[7], a142080data[7])) →* java.lang.Object(ARRAY(i4[8], a142080data[8])))∧(i24782[7] →* i24782[8])∧(i24804[7] →* i24804[8])∧(java.lang.Object(java.lang.String(i25648[7])) →* java.lang.Object(java.lang.String(i25648[8]))))


(8) -> (9), if ((i24804[8] →* i24804[9])∧(java.lang.Object(ARRAY(i4[8], a142080data[8])) →* java.lang.Object(ARRAY(i4[9], a142080data[9])))∧(i24782[8] →* i24782[9])∧(java.lang.Object(java.lang.String(i25648[8])) →* java.lang.Object(java.lang.String(i25648[9])))∧(i25648[8] > 0 && i24782[8] > 0 && i24782[8] < i4[8] && i24804[8] > 0 && i24782[8] + 1 > 0 →* TRUE))


(9) -> (0), if ((java.lang.Object(ARRAY(i4[9], a142080data[9])) →* java.lang.Object(ARRAY(i4[0], a142080data[0])))∧(i24782[9] + 1 →* i24782[0])∧(i24804[9] + -1 →* i24804[0]))


(9) -> (4), if ((i24782[9] + 1 →* i24782[4])∧(i24804[9] + -1 →* i24804[4])∧(java.lang.Object(ARRAY(i4[9], a142080data[9])) →* java.lang.Object(ARRAY(i4[4], a142080data[4]))))


(9) -> (7), if ((i24804[9] + -1 →* i24804[7])∧(java.lang.Object(ARRAY(i4[9], a142080data[9])) →* java.lang.Object(ARRAY(i4[7], a142080data[7])))∧(i24782[9] + 1 →* i24782[7]))


(9) -> (11), if ((i24782[9] + 1 →* i24782[11])∧(i24804[9] + -1 →* i24804[11])∧(java.lang.Object(ARRAY(i4[9], a142080data[9])) →* java.lang.Object(ARRAY(i4[11], a142080data[11]))))


(9) -> (14), if ((i24804[9] + -1 →* i24804[14])∧(i24782[9] + 1 →* i24782[14])∧(java.lang.Object(ARRAY(i4[9], a142080data[9])) →* java.lang.Object(ARRAY(i4[14], a142080data[14]))))


(9) -> (17), if ((java.lang.Object(ARRAY(i4[9], a142080data[9])) →* java.lang.Object(ARRAY(i4[17], a142080data[17])))∧(i24782[9] + 1 →* i24782[17])∧(i24804[9] + -1 →* i24804[17]))


(10) -> (3), if ((i25050[10] →* i25050[3])∧(java.lang.Object(ARRAY(i4[10], a142080data[10])) →* java.lang.Object(ARRAY(i4[3], a142080data[3])))∧(i24804[10] →* i24804[3]))


(11) -> (12), if ((i24782[11] →* i24782[12])∧(java.lang.Object(java.lang.String(i25648[11])) →* java.lang.Object(java.lang.String(i25648[12])))∧(java.lang.Object(ARRAY(i4[11], a142080data[11])) →* java.lang.Object(ARRAY(i4[12], a142080data[12])))∧(i24804[11] →* i24804[12]))


(12) -> (13), if ((java.lang.Object(java.lang.String(i25648[12])) →* java.lang.Object(java.lang.String(i25648[13])))∧(java.lang.Object(ARRAY(i4[12], a142080data[12])) →* java.lang.Object(ARRAY(i4[13], a142080data[13])))∧(i24804[12] →* i24804[13])∧(i25648[12] > 0 && i24782[12] > 0 && i24782[12] < i4[12] && i24804[12] > 0 && i24782[12] + 1 > 0 →* TRUE)∧(i24782[12] →* i24782[13]))


(13) -> (3), if ((i24804[13] →* i24804[3])∧(i24782[13] + 1 →* i25050[3])∧(java.lang.Object(ARRAY(i4[13], a142080data[13])) →* java.lang.Object(ARRAY(i4[3], a142080data[3]))))


(14) -> (15), if ((java.lang.Object(ARRAY(i4[14], a142080data[14])) →* java.lang.Object(ARRAY(i4[15], a142080data[15])))∧(i24782[14] →* i24782[15])∧(i24804[14] →* i24804[15])∧(java.lang.Object(java.lang.String(i25649[14])) →* java.lang.Object(java.lang.String(i25649[15]))))


(15) -> (16), if ((java.lang.Object(ARRAY(i4[15], a142080data[15])) →* java.lang.Object(ARRAY(i4[16], a142080data[16])))∧(i25649[15] <= 0 && i24782[15] > 0 && i24782[15] < i4[15] && i24804[15] > 0 && i24782[15] + 1 > 0 →* TRUE)∧(java.lang.Object(java.lang.String(i25649[15])) →* java.lang.Object(java.lang.String(i25649[16])))∧(i24804[15] →* i24804[16])∧(i24782[15] →* i24782[16]))


(16) -> (3), if ((i24782[16] + 1 →* i25050[3])∧(i24804[16] →* i24804[3])∧(java.lang.Object(ARRAY(i4[16], a142080data[16])) →* java.lang.Object(ARRAY(i4[3], a142080data[3]))))


(17) -> (18), if ((java.lang.Object(java.lang.String(i25649[17])) →* java.lang.Object(java.lang.String(i25649[18])))∧(java.lang.Object(ARRAY(i4[17], a142080data[17])) →* java.lang.Object(ARRAY(i4[18], a142080data[18])))∧(i24804[17] →* i24804[18])∧(i24782[17] →* i24782[18]))


(18) -> (19), if ((i25649[18] <= 0 && i24782[18] > 0 && i24782[18] < i4[18] && i24804[18] > 0 && i24782[18] + 1 > 0 →* TRUE)∧(i24804[18] →* i24804[19])∧(i24782[18] →* i24782[19])∧(java.lang.Object(ARRAY(i4[18], a142080data[18])) →* java.lang.Object(ARRAY(i4[19], a142080data[19])))∧(java.lang.Object(java.lang.String(i25649[18])) →* java.lang.Object(java.lang.String(i25649[19]))))


(19) -> (10), if ((i24782[19] + 1 →* i25050[10])∧(java.lang.Object(ARRAY(i4[19], a142080data[19])) →* java.lang.Object(ARRAY(i4[10], a142080data[10])))∧(i24804[19] →* i24804[10]))



The set Q consists of the following terms:
Load49897(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load49897ARR1(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load49897ARR1(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Inc53049(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load49897ARR2(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load49897ARR2(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Load49897ARR3(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load49897ARR3(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
JMP52935(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load49897ARR4(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load49897ARR4(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Load49897ARR5(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load49897ARR5(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Load49897ARR8(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load49897ARR8(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))

(27) 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.

(28) Obligation:

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


The following domains are used:

Boolean, Integer


R is empty.

The integer pair graph contains the following rules and edges:
(0): LOAD49897(java.lang.Object(ARRAY(i4[0], a142080data[0])), i24782[0], i24804[0]) → LOAD49897ARR1(java.lang.Object(ARRAY(i4[0], a142080data[0])), i24782[0], i24804[0], java.lang.Object(java.lang.String(i25648[0])))
(1): LOAD49897ARR1(java.lang.Object(ARRAY(i4[1], a142080data[1])), i24782[1], i24804[1], java.lang.Object(java.lang.String(i25648[1]))) → COND_LOAD49897ARR1(i25648[1] > 0 && i24782[1] > 0 && i24782[1] < i4[1] && i24804[1] > 0 && i24782[1] + 1 > 0, java.lang.Object(ARRAY(i4[1], a142080data[1])), i24782[1], i24804[1], java.lang.Object(java.lang.String(i25648[1])))
(2): COND_LOAD49897ARR1(TRUE, java.lang.Object(ARRAY(i4[2], a142080data[2])), i24782[2], i24804[2], java.lang.Object(java.lang.String(i25648[2]))) → JMP52935'(java.lang.Object(ARRAY(i4[2], a142080data[2])), i24782[2] + 1, i24804[2])
(3): INC53049(java.lang.Object(ARRAY(i4[3], a142080data[3])), i25050[3], i24804[3]) → LOAD49897(java.lang.Object(ARRAY(i4[3], a142080data[3])), i25050[3], i24804[3] + -1)
(4): LOAD49897(java.lang.Object(ARRAY(i4[4], a142080data[4])), i24782[4], i24804[4]) → LOAD49897ARR2(java.lang.Object(ARRAY(i4[4], a142080data[4])), i24782[4], i24804[4], java.lang.Object(java.lang.String(i25649[4])))
(5): LOAD49897ARR2(java.lang.Object(ARRAY(i4[5], a142080data[5])), i24782[5], i24804[5], java.lang.Object(java.lang.String(i25649[5]))) → COND_LOAD49897ARR2(i25649[5] <= 0 && i24782[5] > 0 && i24782[5] < i4[5] && i24804[5] > 0 && i24782[5] + 1 > 0, java.lang.Object(ARRAY(i4[5], a142080data[5])), i24782[5], i24804[5], java.lang.Object(java.lang.String(i25649[5])))
(6): COND_LOAD49897ARR2(TRUE, java.lang.Object(ARRAY(i4[6], a142080data[6])), i24782[6], i24804[6], java.lang.Object(java.lang.String(i25649[6]))) → LOAD49897(java.lang.Object(ARRAY(i4[6], a142080data[6])), i24782[6] + 1, i24804[6] + -1)
(7): LOAD49897(java.lang.Object(ARRAY(i4[7], a142080data[7])), i24782[7], i24804[7]) → LOAD49897ARR3(java.lang.Object(ARRAY(i4[7], a142080data[7])), i24782[7], i24804[7], java.lang.Object(java.lang.String(i25648[7])))
(8): LOAD49897ARR3(java.lang.Object(ARRAY(i4[8], a142080data[8])), i24782[8], i24804[8], java.lang.Object(java.lang.String(i25648[8]))) → COND_LOAD49897ARR3(i25648[8] > 0 && i24782[8] > 0 && i24782[8] < i4[8] && i24804[8] > 0 && i24782[8] + 1 > 0, java.lang.Object(ARRAY(i4[8], a142080data[8])), i24782[8], i24804[8], java.lang.Object(java.lang.String(i25648[8])))
(9): COND_LOAD49897ARR3(TRUE, java.lang.Object(ARRAY(i4[9], a142080data[9])), i24782[9], i24804[9], java.lang.Object(java.lang.String(i25648[9]))) → LOAD49897(java.lang.Object(ARRAY(i4[9], a142080data[9])), i24782[9] + 1, i24804[9] + -1)
(10): JMP52935'(java.lang.Object(ARRAY(i4[10], a142080data[10])), i25050[10], i24804[10]) → INC53049(java.lang.Object(ARRAY(i4[10], a142080data[10])), i25050[10], i24804[10])
(11): LOAD49897(java.lang.Object(ARRAY(i4[11], a142080data[11])), i24782[11], i24804[11]) → LOAD49897ARR4(java.lang.Object(ARRAY(i4[11], a142080data[11])), i24782[11], i24804[11], java.lang.Object(java.lang.String(i25648[11])))
(12): LOAD49897ARR4(java.lang.Object(ARRAY(i4[12], a142080data[12])), i24782[12], i24804[12], java.lang.Object(java.lang.String(i25648[12]))) → COND_LOAD49897ARR4(i25648[12] > 0 && i24782[12] > 0 && i24782[12] < i4[12] && i24804[12] > 0 && i24782[12] + 1 > 0, java.lang.Object(ARRAY(i4[12], a142080data[12])), i24782[12], i24804[12], java.lang.Object(java.lang.String(i25648[12])))
(13): COND_LOAD49897ARR4(TRUE, java.lang.Object(ARRAY(i4[13], a142080data[13])), i24782[13], i24804[13], java.lang.Object(java.lang.String(i25648[13]))) → INC53049(java.lang.Object(ARRAY(i4[13], a142080data[13])), i24782[13] + 1, i24804[13])
(14): LOAD49897(java.lang.Object(ARRAY(i4[14], a142080data[14])), i24782[14], i24804[14]) → LOAD49897ARR5(java.lang.Object(ARRAY(i4[14], a142080data[14])), i24782[14], i24804[14], java.lang.Object(java.lang.String(i25649[14])))
(15): LOAD49897ARR5(java.lang.Object(ARRAY(i4[15], a142080data[15])), i24782[15], i24804[15], java.lang.Object(java.lang.String(i25649[15]))) → COND_LOAD49897ARR5(i25649[15] <= 0 && i24782[15] > 0 && i24782[15] < i4[15] && i24804[15] > 0 && i24782[15] + 1 > 0, java.lang.Object(ARRAY(i4[15], a142080data[15])), i24782[15], i24804[15], java.lang.Object(java.lang.String(i25649[15])))
(16): COND_LOAD49897ARR5(TRUE, java.lang.Object(ARRAY(i4[16], a142080data[16])), i24782[16], i24804[16], java.lang.Object(java.lang.String(i25649[16]))) → INC53049(java.lang.Object(ARRAY(i4[16], a142080data[16])), i24782[16] + 1, i24804[16])
(17): LOAD49897(java.lang.Object(ARRAY(i4[17], a142080data[17])), i24782[17], i24804[17]) → LOAD49897ARR8(java.lang.Object(ARRAY(i4[17], a142080data[17])), i24782[17], i24804[17], java.lang.Object(java.lang.String(i25649[17])))
(18): LOAD49897ARR8(java.lang.Object(ARRAY(i4[18], a142080data[18])), i24782[18], i24804[18], java.lang.Object(java.lang.String(i25649[18]))) → COND_LOAD49897ARR8(i25649[18] <= 0 && i24782[18] > 0 && i24782[18] < i4[18] && i24804[18] > 0 && i24782[18] + 1 > 0, java.lang.Object(ARRAY(i4[18], a142080data[18])), i24782[18], i24804[18], java.lang.Object(java.lang.String(i25649[18])))
(19): COND_LOAD49897ARR8(TRUE, java.lang.Object(ARRAY(i4[19], a142080data[19])), i24782[19], i24804[19], java.lang.Object(java.lang.String(i25649[19]))) → JMP52935'(java.lang.Object(ARRAY(i4[19], a142080data[19])), i24782[19] + 1, i24804[19])

(0) -> (1), if ((java.lang.Object(java.lang.String(i25648[0])) →* java.lang.Object(java.lang.String(i25648[1])))∧(i24804[0] →* i24804[1])∧(i24782[0] →* i24782[1])∧(java.lang.Object(ARRAY(i4[0], a142080data[0])) →* java.lang.Object(ARRAY(i4[1], a142080data[1]))))


(1) -> (2), if ((i24804[1] →* i24804[2])∧(i24782[1] →* i24782[2])∧(java.lang.Object(ARRAY(i4[1], a142080data[1])) →* java.lang.Object(ARRAY(i4[2], a142080data[2])))∧(java.lang.Object(java.lang.String(i25648[1])) →* java.lang.Object(java.lang.String(i25648[2])))∧(i25648[1] > 0 && i24782[1] > 0 && i24782[1] < i4[1] && i24804[1] > 0 && i24782[1] + 1 > 0 →* TRUE))


(2) -> (10), if ((i24782[2] + 1 →* i25050[10])∧(i24804[2] →* i24804[10])∧(java.lang.Object(ARRAY(i4[2], a142080data[2])) →* java.lang.Object(ARRAY(i4[10], a142080data[10]))))


(3) -> (0), if ((java.lang.Object(ARRAY(i4[3], a142080data[3])) →* java.lang.Object(ARRAY(i4[0], a142080data[0])))∧(i24804[3] + -1 →* i24804[0])∧(i25050[3] →* i24782[0]))


(3) -> (4), if ((i24804[3] + -1 →* i24804[4])∧(i25050[3] →* i24782[4])∧(java.lang.Object(ARRAY(i4[3], a142080data[3])) →* java.lang.Object(ARRAY(i4[4], a142080data[4]))))


(3) -> (7), if ((i25050[3] →* i24782[7])∧(i24804[3] + -1 →* i24804[7])∧(java.lang.Object(ARRAY(i4[3], a142080data[3])) →* java.lang.Object(ARRAY(i4[7], a142080data[7]))))


(3) -> (11), if ((i24804[3] + -1 →* i24804[11])∧(i25050[3] →* i24782[11])∧(java.lang.Object(ARRAY(i4[3], a142080data[3])) →* java.lang.Object(ARRAY(i4[11], a142080data[11]))))


(3) -> (14), if ((i24804[3] + -1 →* i24804[14])∧(i25050[3] →* i24782[14])∧(java.lang.Object(ARRAY(i4[3], a142080data[3])) →* java.lang.Object(ARRAY(i4[14], a142080data[14]))))


(3) -> (17), if ((i25050[3] →* i24782[17])∧(i24804[3] + -1 →* i24804[17])∧(java.lang.Object(ARRAY(i4[3], a142080data[3])) →* java.lang.Object(ARRAY(i4[17], a142080data[17]))))


(4) -> (5), if ((java.lang.Object(java.lang.String(i25649[4])) →* java.lang.Object(java.lang.String(i25649[5])))∧(java.lang.Object(ARRAY(i4[4], a142080data[4])) →* java.lang.Object(ARRAY(i4[5], a142080data[5])))∧(i24782[4] →* i24782[5])∧(i24804[4] →* i24804[5]))


(5) -> (6), if ((java.lang.Object(java.lang.String(i25649[5])) →* java.lang.Object(java.lang.String(i25649[6])))∧(i24782[5] →* i24782[6])∧(java.lang.Object(ARRAY(i4[5], a142080data[5])) →* java.lang.Object(ARRAY(i4[6], a142080data[6])))∧(i25649[5] <= 0 && i24782[5] > 0 && i24782[5] < i4[5] && i24804[5] > 0 && i24782[5] + 1 > 0 →* TRUE)∧(i24804[5] →* i24804[6]))


(6) -> (0), if ((java.lang.Object(ARRAY(i4[6], a142080data[6])) →* java.lang.Object(ARRAY(i4[0], a142080data[0])))∧(i24804[6] + -1 →* i24804[0])∧(i24782[6] + 1 →* i24782[0]))


(6) -> (4), if ((i24782[6] + 1 →* i24782[4])∧(java.lang.Object(ARRAY(i4[6], a142080data[6])) →* java.lang.Object(ARRAY(i4[4], a142080data[4])))∧(i24804[6] + -1 →* i24804[4]))


(6) -> (7), if ((i24804[6] + -1 →* i24804[7])∧(i24782[6] + 1 →* i24782[7])∧(java.lang.Object(ARRAY(i4[6], a142080data[6])) →* java.lang.Object(ARRAY(i4[7], a142080data[7]))))


(6) -> (11), if ((java.lang.Object(ARRAY(i4[6], a142080data[6])) →* java.lang.Object(ARRAY(i4[11], a142080data[11])))∧(i24804[6] + -1 →* i24804[11])∧(i24782[6] + 1 →* i24782[11]))


(6) -> (14), if ((java.lang.Object(ARRAY(i4[6], a142080data[6])) →* java.lang.Object(ARRAY(i4[14], a142080data[14])))∧(i24804[6] + -1 →* i24804[14])∧(i24782[6] + 1 →* i24782[14]))


(6) -> (17), if ((i24804[6] + -1 →* i24804[17])∧(java.lang.Object(ARRAY(i4[6], a142080data[6])) →* java.lang.Object(ARRAY(i4[17], a142080data[17])))∧(i24782[6] + 1 →* i24782[17]))


(7) -> (8), if ((java.lang.Object(ARRAY(i4[7], a142080data[7])) →* java.lang.Object(ARRAY(i4[8], a142080data[8])))∧(i24782[7] →* i24782[8])∧(i24804[7] →* i24804[8])∧(java.lang.Object(java.lang.String(i25648[7])) →* java.lang.Object(java.lang.String(i25648[8]))))


(8) -> (9), if ((i24804[8] →* i24804[9])∧(java.lang.Object(ARRAY(i4[8], a142080data[8])) →* java.lang.Object(ARRAY(i4[9], a142080data[9])))∧(i24782[8] →* i24782[9])∧(java.lang.Object(java.lang.String(i25648[8])) →* java.lang.Object(java.lang.String(i25648[9])))∧(i25648[8] > 0 && i24782[8] > 0 && i24782[8] < i4[8] && i24804[8] > 0 && i24782[8] + 1 > 0 →* TRUE))


(9) -> (0), if ((java.lang.Object(ARRAY(i4[9], a142080data[9])) →* java.lang.Object(ARRAY(i4[0], a142080data[0])))∧(i24782[9] + 1 →* i24782[0])∧(i24804[9] + -1 →* i24804[0]))


(9) -> (4), if ((i24782[9] + 1 →* i24782[4])∧(i24804[9] + -1 →* i24804[4])∧(java.lang.Object(ARRAY(i4[9], a142080data[9])) →* java.lang.Object(ARRAY(i4[4], a142080data[4]))))


(9) -> (7), if ((i24804[9] + -1 →* i24804[7])∧(java.lang.Object(ARRAY(i4[9], a142080data[9])) →* java.lang.Object(ARRAY(i4[7], a142080data[7])))∧(i24782[9] + 1 →* i24782[7]))


(9) -> (11), if ((i24782[9] + 1 →* i24782[11])∧(i24804[9] + -1 →* i24804[11])∧(java.lang.Object(ARRAY(i4[9], a142080data[9])) →* java.lang.Object(ARRAY(i4[11], a142080data[11]))))


(9) -> (14), if ((i24804[9] + -1 →* i24804[14])∧(i24782[9] + 1 →* i24782[14])∧(java.lang.Object(ARRAY(i4[9], a142080data[9])) →* java.lang.Object(ARRAY(i4[14], a142080data[14]))))


(9) -> (17), if ((java.lang.Object(ARRAY(i4[9], a142080data[9])) →* java.lang.Object(ARRAY(i4[17], a142080data[17])))∧(i24782[9] + 1 →* i24782[17])∧(i24804[9] + -1 →* i24804[17]))


(10) -> (3), if ((i25050[10] →* i25050[3])∧(java.lang.Object(ARRAY(i4[10], a142080data[10])) →* java.lang.Object(ARRAY(i4[3], a142080data[3])))∧(i24804[10] →* i24804[3]))


(11) -> (12), if ((i24782[11] →* i24782[12])∧(java.lang.Object(java.lang.String(i25648[11])) →* java.lang.Object(java.lang.String(i25648[12])))∧(java.lang.Object(ARRAY(i4[11], a142080data[11])) →* java.lang.Object(ARRAY(i4[12], a142080data[12])))∧(i24804[11] →* i24804[12]))


(12) -> (13), if ((java.lang.Object(java.lang.String(i25648[12])) →* java.lang.Object(java.lang.String(i25648[13])))∧(java.lang.Object(ARRAY(i4[12], a142080data[12])) →* java.lang.Object(ARRAY(i4[13], a142080data[13])))∧(i24804[12] →* i24804[13])∧(i25648[12] > 0 && i24782[12] > 0 && i24782[12] < i4[12] && i24804[12] > 0 && i24782[12] + 1 > 0 →* TRUE)∧(i24782[12] →* i24782[13]))


(13) -> (3), if ((i24804[13] →* i24804[3])∧(i24782[13] + 1 →* i25050[3])∧(java.lang.Object(ARRAY(i4[13], a142080data[13])) →* java.lang.Object(ARRAY(i4[3], a142080data[3]))))


(14) -> (15), if ((java.lang.Object(ARRAY(i4[14], a142080data[14])) →* java.lang.Object(ARRAY(i4[15], a142080data[15])))∧(i24782[14] →* i24782[15])∧(i24804[14] →* i24804[15])∧(java.lang.Object(java.lang.String(i25649[14])) →* java.lang.Object(java.lang.String(i25649[15]))))


(15) -> (16), if ((java.lang.Object(ARRAY(i4[15], a142080data[15])) →* java.lang.Object(ARRAY(i4[16], a142080data[16])))∧(i25649[15] <= 0 && i24782[15] > 0 && i24782[15] < i4[15] && i24804[15] > 0 && i24782[15] + 1 > 0 →* TRUE)∧(java.lang.Object(java.lang.String(i25649[15])) →* java.lang.Object(java.lang.String(i25649[16])))∧(i24804[15] →* i24804[16])∧(i24782[15] →* i24782[16]))


(16) -> (3), if ((i24782[16] + 1 →* i25050[3])∧(i24804[16] →* i24804[3])∧(java.lang.Object(ARRAY(i4[16], a142080data[16])) →* java.lang.Object(ARRAY(i4[3], a142080data[3]))))


(17) -> (18), if ((java.lang.Object(java.lang.String(i25649[17])) →* java.lang.Object(java.lang.String(i25649[18])))∧(java.lang.Object(ARRAY(i4[17], a142080data[17])) →* java.lang.Object(ARRAY(i4[18], a142080data[18])))∧(i24804[17] →* i24804[18])∧(i24782[17] →* i24782[18]))


(18) -> (19), if ((i25649[18] <= 0 && i24782[18] > 0 && i24782[18] < i4[18] && i24804[18] > 0 && i24782[18] + 1 > 0 →* TRUE)∧(i24804[18] →* i24804[19])∧(i24782[18] →* i24782[19])∧(java.lang.Object(ARRAY(i4[18], a142080data[18])) →* java.lang.Object(ARRAY(i4[19], a142080data[19])))∧(java.lang.Object(java.lang.String(i25649[18])) →* java.lang.Object(java.lang.String(i25649[19]))))


(19) -> (10), if ((i24782[19] + 1 →* i25050[10])∧(java.lang.Object(ARRAY(i4[19], a142080data[19])) →* java.lang.Object(ARRAY(i4[10], a142080data[10])))∧(i24804[19] →* i24804[10]))



The set Q consists of the following terms:
Load49897(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load49897ARR1(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load49897ARR1(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Inc53049(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load49897ARR2(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load49897ARR2(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Load49897ARR3(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load49897ARR3(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
JMP52935(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load49897ARR4(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load49897ARR4(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Load49897ARR5(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load49897ARR5(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Load49897ARR8(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load49897ARR8(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))

(29) ItpfGraphProof (EQUIVALENT transformation)

Applied rule ItpfICap [ICap]

(30) Obligation:

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


The following domains are used:

Boolean, Integer


R is empty.

The integer pair graph contains the following rules and edges:
(0): LOAD49897(java.lang.Object(ARRAY(i4[0], a142080data[0])), i24782[0], i24804[0]) → LOAD49897ARR1(java.lang.Object(ARRAY(i4[0], a142080data[0])), i24782[0], i24804[0], java.lang.Object(java.lang.String(i25648[0])))
(1): LOAD49897ARR1(java.lang.Object(ARRAY(i4[1], a142080data[1])), i24782[1], i24804[1], java.lang.Object(java.lang.String(i25648[1]))) → COND_LOAD49897ARR1(i25648[1] > 0 && i24782[1] > 0 && i24782[1] < i4[1] && i24804[1] > 0 && i24782[1] + 1 > 0, java.lang.Object(ARRAY(i4[1], a142080data[1])), i24782[1], i24804[1], java.lang.Object(java.lang.String(i25648[1])))
(2): COND_LOAD49897ARR1(TRUE, java.lang.Object(ARRAY(i4[2], a142080data[2])), i24782[2], i24804[2], java.lang.Object(java.lang.String(i25648[2]))) → JMP52935'(java.lang.Object(ARRAY(i4[2], a142080data[2])), i24782[2] + 1, i24804[2])
(3): INC53049(java.lang.Object(ARRAY(i4[3], a142080data[3])), i25050[3], i24804[3]) → LOAD49897(java.lang.Object(ARRAY(i4[3], a142080data[3])), i25050[3], i24804[3] + -1)
(4): LOAD49897(java.lang.Object(ARRAY(i4[4], a142080data[4])), i24782[4], i24804[4]) → LOAD49897ARR2(java.lang.Object(ARRAY(i4[4], a142080data[4])), i24782[4], i24804[4], java.lang.Object(java.lang.String(i25649[4])))
(5): LOAD49897ARR2(java.lang.Object(ARRAY(i4[5], a142080data[5])), i24782[5], i24804[5], java.lang.Object(java.lang.String(i25649[5]))) → COND_LOAD49897ARR2(i25649[5] <= 0 && i24782[5] > 0 && i24782[5] < i4[5] && i24804[5] > 0 && i24782[5] + 1 > 0, java.lang.Object(ARRAY(i4[5], a142080data[5])), i24782[5], i24804[5], java.lang.Object(java.lang.String(i25649[5])))
(6): COND_LOAD49897ARR2(TRUE, java.lang.Object(ARRAY(i4[6], a142080data[6])), i24782[6], i24804[6], java.lang.Object(java.lang.String(i25649[6]))) → LOAD49897(java.lang.Object(ARRAY(i4[6], a142080data[6])), i24782[6] + 1, i24804[6] + -1)
(7): LOAD49897(java.lang.Object(ARRAY(i4[7], a142080data[7])), i24782[7], i24804[7]) → LOAD49897ARR3(java.lang.Object(ARRAY(i4[7], a142080data[7])), i24782[7], i24804[7], java.lang.Object(java.lang.String(i25648[7])))
(8): LOAD49897ARR3(java.lang.Object(ARRAY(i4[8], a142080data[8])), i24782[8], i24804[8], java.lang.Object(java.lang.String(i25648[8]))) → COND_LOAD49897ARR3(i25648[8] > 0 && i24782[8] > 0 && i24782[8] < i4[8] && i24804[8] > 0 && i24782[8] + 1 > 0, java.lang.Object(ARRAY(i4[8], a142080data[8])), i24782[8], i24804[8], java.lang.Object(java.lang.String(i25648[8])))
(9): COND_LOAD49897ARR3(TRUE, java.lang.Object(ARRAY(i4[9], a142080data[9])), i24782[9], i24804[9], java.lang.Object(java.lang.String(i25648[9]))) → LOAD49897(java.lang.Object(ARRAY(i4[9], a142080data[9])), i24782[9] + 1, i24804[9] + -1)
(10): JMP52935'(java.lang.Object(ARRAY(i4[10], a142080data[10])), i25050[10], i24804[10]) → INC53049(java.lang.Object(ARRAY(i4[10], a142080data[10])), i25050[10], i24804[10])
(11): LOAD49897(java.lang.Object(ARRAY(i4[11], a142080data[11])), i24782[11], i24804[11]) → LOAD49897ARR4(java.lang.Object(ARRAY(i4[11], a142080data[11])), i24782[11], i24804[11], java.lang.Object(java.lang.String(i25648[11])))
(12): LOAD49897ARR4(java.lang.Object(ARRAY(i4[12], a142080data[12])), i24782[12], i24804[12], java.lang.Object(java.lang.String(i25648[12]))) → COND_LOAD49897ARR4(i25648[12] > 0 && i24782[12] > 0 && i24782[12] < i4[12] && i24804[12] > 0 && i24782[12] + 1 > 0, java.lang.Object(ARRAY(i4[12], a142080data[12])), i24782[12], i24804[12], java.lang.Object(java.lang.String(i25648[12])))
(13): COND_LOAD49897ARR4(TRUE, java.lang.Object(ARRAY(i4[13], a142080data[13])), i24782[13], i24804[13], java.lang.Object(java.lang.String(i25648[13]))) → INC53049(java.lang.Object(ARRAY(i4[13], a142080data[13])), i24782[13] + 1, i24804[13])
(14): LOAD49897(java.lang.Object(ARRAY(i4[14], a142080data[14])), i24782[14], i24804[14]) → LOAD49897ARR5(java.lang.Object(ARRAY(i4[14], a142080data[14])), i24782[14], i24804[14], java.lang.Object(java.lang.String(i25649[14])))
(15): LOAD49897ARR5(java.lang.Object(ARRAY(i4[15], a142080data[15])), i24782[15], i24804[15], java.lang.Object(java.lang.String(i25649[15]))) → COND_LOAD49897ARR5(i25649[15] <= 0 && i24782[15] > 0 && i24782[15] < i4[15] && i24804[15] > 0 && i24782[15] + 1 > 0, java.lang.Object(ARRAY(i4[15], a142080data[15])), i24782[15], i24804[15], java.lang.Object(java.lang.String(i25649[15])))
(16): COND_LOAD49897ARR5(TRUE, java.lang.Object(ARRAY(i4[16], a142080data[16])), i24782[16], i24804[16], java.lang.Object(java.lang.String(i25649[16]))) → INC53049(java.lang.Object(ARRAY(i4[16], a142080data[16])), i24782[16] + 1, i24804[16])
(17): LOAD49897(java.lang.Object(ARRAY(i4[17], a142080data[17])), i24782[17], i24804[17]) → LOAD49897ARR8(java.lang.Object(ARRAY(i4[17], a142080data[17])), i24782[17], i24804[17], java.lang.Object(java.lang.String(i25649[17])))
(18): LOAD49897ARR8(java.lang.Object(ARRAY(i4[18], a142080data[18])), i24782[18], i24804[18], java.lang.Object(java.lang.String(i25649[18]))) → COND_LOAD49897ARR8(i25649[18] <= 0 && i24782[18] > 0 && i24782[18] < i4[18] && i24804[18] > 0 && i24782[18] + 1 > 0, java.lang.Object(ARRAY(i4[18], a142080data[18])), i24782[18], i24804[18], java.lang.Object(java.lang.String(i25649[18])))
(19): COND_LOAD49897ARR8(TRUE, java.lang.Object(ARRAY(i4[19], a142080data[19])), i24782[19], i24804[19], java.lang.Object(java.lang.String(i25649[19]))) → JMP52935'(java.lang.Object(ARRAY(i4[19], a142080data[19])), i24782[19] + 1, i24804[19])

(0) -> (1), if (((i25648[0] →* i25648[1]))∧(i24804[0] →* i24804[1])∧(i24782[0] →* i24782[1])∧((i4[0] →* i4[1])∧(a142080data[0] →* a142080data[1])))


(1) -> (2), if ((i24804[1] →* i24804[2])∧(i24782[1] →* i24782[2])∧((i4[1] →* i4[2])∧(a142080data[1] →* a142080data[2]))∧((i25648[1] →* i25648[2]))∧(i25648[1] > 0 && i24782[1] > 0 && i24782[1] < i4[1] && i24804[1] > 0 && i24782[1] + 1 > 0 →* TRUE))


(2) -> (10), if ((i24782[2] + 1 →* i25050[10])∧(i24804[2] →* i24804[10])∧((i4[2] →* i4[10])∧(a142080data[2] →* a142080data[10])))


(3) -> (0), if (((i4[3] →* i4[0])∧(a142080data[3] →* a142080data[0]))∧(i24804[3] + -1 →* i24804[0])∧(i25050[3] →* i24782[0]))


(3) -> (4), if ((i24804[3] + -1 →* i24804[4])∧(i25050[3] →* i24782[4])∧((i4[3] →* i4[4])∧(a142080data[3] →* a142080data[4])))


(3) -> (7), if ((i25050[3] →* i24782[7])∧(i24804[3] + -1 →* i24804[7])∧((i4[3] →* i4[7])∧(a142080data[3] →* a142080data[7])))


(3) -> (11), if ((i24804[3] + -1 →* i24804[11])∧(i25050[3] →* i24782[11])∧((i4[3] →* i4[11])∧(a142080data[3] →* a142080data[11])))


(3) -> (14), if ((i24804[3] + -1 →* i24804[14])∧(i25050[3] →* i24782[14])∧((i4[3] →* i4[14])∧(a142080data[3] →* a142080data[14])))


(3) -> (17), if ((i25050[3] →* i24782[17])∧(i24804[3] + -1 →* i24804[17])∧((i4[3] →* i4[17])∧(a142080data[3] →* a142080data[17])))


(4) -> (5), if (((i25649[4] →* i25649[5]))∧((i4[4] →* i4[5])∧(a142080data[4] →* a142080data[5]))∧(i24782[4] →* i24782[5])∧(i24804[4] →* i24804[5]))


(5) -> (6), if (((i25649[5] →* i25649[6]))∧(i24782[5] →* i24782[6])∧((i4[5] →* i4[6])∧(a142080data[5] →* a142080data[6]))∧(i25649[5] <= 0 && i24782[5] > 0 && i24782[5] < i4[5] && i24804[5] > 0 && i24782[5] + 1 > 0 →* TRUE)∧(i24804[5] →* i24804[6]))


(6) -> (0), if (((i4[6] →* i4[0])∧(a142080data[6] →* a142080data[0]))∧(i24804[6] + -1 →* i24804[0])∧(i24782[6] + 1 →* i24782[0]))


(6) -> (4), if ((i24782[6] + 1 →* i24782[4])∧((i4[6] →* i4[4])∧(a142080data[6] →* a142080data[4]))∧(i24804[6] + -1 →* i24804[4]))


(6) -> (7), if ((i24804[6] + -1 →* i24804[7])∧(i24782[6] + 1 →* i24782[7])∧((i4[6] →* i4[7])∧(a142080data[6] →* a142080data[7])))


(6) -> (11), if (((i4[6] →* i4[11])∧(a142080data[6] →* a142080data[11]))∧(i24804[6] + -1 →* i24804[11])∧(i24782[6] + 1 →* i24782[11]))


(6) -> (14), if (((i4[6] →* i4[14])∧(a142080data[6] →* a142080data[14]))∧(i24804[6] + -1 →* i24804[14])∧(i24782[6] + 1 →* i24782[14]))


(6) -> (17), if ((i24804[6] + -1 →* i24804[17])∧((i4[6] →* i4[17])∧(a142080data[6] →* a142080data[17]))∧(i24782[6] + 1 →* i24782[17]))


(7) -> (8), if (((i4[7] →* i4[8])∧(a142080data[7] →* a142080data[8]))∧(i24782[7] →* i24782[8])∧(i24804[7] →* i24804[8])∧((i25648[7] →* i25648[8])))


(8) -> (9), if ((i24804[8] →* i24804[9])∧((i4[8] →* i4[9])∧(a142080data[8] →* a142080data[9]))∧(i24782[8] →* i24782[9])∧((i25648[8] →* i25648[9]))∧(i25648[8] > 0 && i24782[8] > 0 && i24782[8] < i4[8] && i24804[8] > 0 && i24782[8] + 1 > 0 →* TRUE))


(9) -> (0), if (((i4[9] →* i4[0])∧(a142080data[9] →* a142080data[0]))∧(i24782[9] + 1 →* i24782[0])∧(i24804[9] + -1 →* i24804[0]))


(9) -> (4), if ((i24782[9] + 1 →* i24782[4])∧(i24804[9] + -1 →* i24804[4])∧((i4[9] →* i4[4])∧(a142080data[9] →* a142080data[4])))


(9) -> (7), if ((i24804[9] + -1 →* i24804[7])∧((i4[9] →* i4[7])∧(a142080data[9] →* a142080data[7]))∧(i24782[9] + 1 →* i24782[7]))


(9) -> (11), if ((i24782[9] + 1 →* i24782[11])∧(i24804[9] + -1 →* i24804[11])∧((i4[9] →* i4[11])∧(a142080data[9] →* a142080data[11])))


(9) -> (14), if ((i24804[9] + -1 →* i24804[14])∧(i24782[9] + 1 →* i24782[14])∧((i4[9] →* i4[14])∧(a142080data[9] →* a142080data[14])))


(9) -> (17), if (((i4[9] →* i4[17])∧(a142080data[9] →* a142080data[17]))∧(i24782[9] + 1 →* i24782[17])∧(i24804[9] + -1 →* i24804[17]))


(10) -> (3), if ((i25050[10] →* i25050[3])∧((i4[10] →* i4[3])∧(a142080data[10] →* a142080data[3]))∧(i24804[10] →* i24804[3]))


(11) -> (12), if ((i24782[11] →* i24782[12])∧((i25648[11] →* i25648[12]))∧((i4[11] →* i4[12])∧(a142080data[11] →* a142080data[12]))∧(i24804[11] →* i24804[12]))


(12) -> (13), if (((i25648[12] →* i25648[13]))∧((i4[12] →* i4[13])∧(a142080data[12] →* a142080data[13]))∧(i24804[12] →* i24804[13])∧(i25648[12] > 0 && i24782[12] > 0 && i24782[12] < i4[12] && i24804[12] > 0 && i24782[12] + 1 > 0 →* TRUE)∧(i24782[12] →* i24782[13]))


(13) -> (3), if ((i24804[13] →* i24804[3])∧(i24782[13] + 1 →* i25050[3])∧((i4[13] →* i4[3])∧(a142080data[13] →* a142080data[3])))


(14) -> (15), if (((i4[14] →* i4[15])∧(a142080data[14] →* a142080data[15]))∧(i24782[14] →* i24782[15])∧(i24804[14] →* i24804[15])∧((i25649[14] →* i25649[15])))


(15) -> (16), if (((i4[15] →* i4[16])∧(a142080data[15] →* a142080data[16]))∧(i25649[15] <= 0 && i24782[15] > 0 && i24782[15] < i4[15] && i24804[15] > 0 && i24782[15] + 1 > 0 →* TRUE)∧((i25649[15] →* i25649[16]))∧(i24804[15] →* i24804[16])∧(i24782[15] →* i24782[16]))


(16) -> (3), if ((i24782[16] + 1 →* i25050[3])∧(i24804[16] →* i24804[3])∧((i4[16] →* i4[3])∧(a142080data[16] →* a142080data[3])))


(17) -> (18), if (((i25649[17] →* i25649[18]))∧((i4[17] →* i4[18])∧(a142080data[17] →* a142080data[18]))∧(i24804[17] →* i24804[18])∧(i24782[17] →* i24782[18]))


(18) -> (19), if ((i25649[18] <= 0 && i24782[18] > 0 && i24782[18] < i4[18] && i24804[18] > 0 && i24782[18] + 1 > 0 →* TRUE)∧(i24804[18] →* i24804[19])∧(i24782[18] →* i24782[19])∧((i4[18] →* i4[19])∧(a142080data[18] →* a142080data[19]))∧((i25649[18] →* i25649[19])))


(19) -> (10), if ((i24782[19] + 1 →* i25050[10])∧((i4[19] →* i4[10])∧(a142080data[19] →* a142080data[10]))∧(i24804[19] →* i24804[10]))



The set Q consists of the following terms:
Load49897(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load49897ARR1(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load49897ARR1(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Inc53049(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load49897ARR2(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load49897ARR2(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Load49897ARR3(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load49897ARR3(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
JMP52935(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load49897ARR4(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load49897ARR4(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Load49897ARR5(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load49897ARR5(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Load49897ARR8(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load49897ARR8(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))

(31) IDPNonInfProof (SOUND transformation)

The constraints were generated the following way:
The DP Problem is simplified using the Induction Calculus [NONINF] with the following steps:
Note that final constraints are written in bold face.


For Pair LOAD49897(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804) → LOAD49897ARR1(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25648))) the following chains were created:
  • We consider the chain LOAD49897(java.lang.Object(ARRAY(i4[0], a142080data[0])), i24782[0], i24804[0]) → LOAD49897ARR1(java.lang.Object(ARRAY(i4[0], a142080data[0])), i24782[0], i24804[0], java.lang.Object(java.lang.String(i25648[0]))) which results in the following constraint:

    (1)    (LOAD49897(java.lang.Object(ARRAY(i4[0], a142080data[0])), i24782[0], i24804[0])≥NonInfC∧LOAD49897(java.lang.Object(ARRAY(i4[0], a142080data[0])), i24782[0], i24804[0])≥LOAD49897ARR1(java.lang.Object(ARRAY(i4[0], a142080data[0])), i24782[0], i24804[0], java.lang.Object(java.lang.String(i25648[0])))∧(UIncreasing(LOAD49897ARR1(java.lang.Object(ARRAY(i4[0], a142080data[0])), i24782[0], i24804[0], java.lang.Object(java.lang.String(i25648[0])))), ≥))



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

    (2)    ((UIncreasing(LOAD49897ARR1(java.lang.Object(ARRAY(i4[0], a142080data[0])), i24782[0], i24804[0], java.lang.Object(java.lang.String(i25648[0])))), ≥)∧[(-1)bso_33] ≥ 0)



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

    (3)    ((UIncreasing(LOAD49897ARR1(java.lang.Object(ARRAY(i4[0], a142080data[0])), i24782[0], i24804[0], java.lang.Object(java.lang.String(i25648[0])))), ≥)∧[(-1)bso_33] ≥ 0)



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

    (4)    ((UIncreasing(LOAD49897ARR1(java.lang.Object(ARRAY(i4[0], a142080data[0])), i24782[0], i24804[0], java.lang.Object(java.lang.String(i25648[0])))), ≥)∧[(-1)bso_33] ≥ 0)



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

    (5)    ((UIncreasing(LOAD49897ARR1(java.lang.Object(ARRAY(i4[0], a142080data[0])), i24782[0], i24804[0], java.lang.Object(java.lang.String(i25648[0])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_33] ≥ 0)







For Pair LOAD49897ARR1(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25648))) → COND_LOAD49897ARR1(&&(&&(&&(&&(>(i25648, 0), >(i24782, 0)), <(i24782, i4)), >(i24804, 0)), >(+(i24782, 1), 0)), java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25648))) the following chains were created:
  • We consider the chain LOAD49897ARR1(java.lang.Object(ARRAY(i4[1], a142080data[1])), i24782[1], i24804[1], java.lang.Object(java.lang.String(i25648[1]))) → COND_LOAD49897ARR1(&&(&&(&&(&&(>(i25648[1], 0), >(i24782[1], 0)), <(i24782[1], i4[1])), >(i24804[1], 0)), >(+(i24782[1], 1), 0)), java.lang.Object(ARRAY(i4[1], a142080data[1])), i24782[1], i24804[1], java.lang.Object(java.lang.String(i25648[1]))), COND_LOAD49897ARR1(TRUE, java.lang.Object(ARRAY(i4[2], a142080data[2])), i24782[2], i24804[2], java.lang.Object(java.lang.String(i25648[2]))) → JMP52935'(java.lang.Object(ARRAY(i4[2], a142080data[2])), +(i24782[2], 1), i24804[2]) which results in the following constraint:

    (6)    (i24804[1]=i24804[2]∧i24782[1]=i24782[2]∧i4[1]=i4[2]∧a142080data[1]=a142080data[2]∧i25648[1]=i25648[2]∧&&(&&(&&(&&(>(i25648[1], 0), >(i24782[1], 0)), <(i24782[1], i4[1])), >(i24804[1], 0)), >(+(i24782[1], 1), 0))=TRUE ⇒ LOAD49897ARR1(java.lang.Object(ARRAY(i4[1], a142080data[1])), i24782[1], i24804[1], java.lang.Object(java.lang.String(i25648[1])))≥NonInfC∧LOAD49897ARR1(java.lang.Object(ARRAY(i4[1], a142080data[1])), i24782[1], i24804[1], java.lang.Object(java.lang.String(i25648[1])))≥COND_LOAD49897ARR1(&&(&&(&&(&&(>(i25648[1], 0), >(i24782[1], 0)), <(i24782[1], i4[1])), >(i24804[1], 0)), >(+(i24782[1], 1), 0)), java.lang.Object(ARRAY(i4[1], a142080data[1])), i24782[1], i24804[1], java.lang.Object(java.lang.String(i25648[1])))∧(UIncreasing(COND_LOAD49897ARR1(&&(&&(&&(&&(>(i25648[1], 0), >(i24782[1], 0)), <(i24782[1], i4[1])), >(i24804[1], 0)), >(+(i24782[1], 1), 0)), java.lang.Object(ARRAY(i4[1], a142080data[1])), i24782[1], i24804[1], java.lang.Object(java.lang.String(i25648[1])))), ≥))



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

    (7)    (>(+(i24782[1], 1), 0)=TRUE∧>(i24804[1], 0)=TRUE∧<(i24782[1], i4[1])=TRUE∧>(i25648[1], 0)=TRUE∧>(i24782[1], 0)=TRUE ⇒ LOAD49897ARR1(java.lang.Object(ARRAY(i4[1], a142080data[1])), i24782[1], i24804[1], java.lang.Object(java.lang.String(i25648[1])))≥NonInfC∧LOAD49897ARR1(java.lang.Object(ARRAY(i4[1], a142080data[1])), i24782[1], i24804[1], java.lang.Object(java.lang.String(i25648[1])))≥COND_LOAD49897ARR1(&&(&&(&&(&&(>(i25648[1], 0), >(i24782[1], 0)), <(i24782[1], i4[1])), >(i24804[1], 0)), >(+(i24782[1], 1), 0)), java.lang.Object(ARRAY(i4[1], a142080data[1])), i24782[1], i24804[1], java.lang.Object(java.lang.String(i25648[1])))∧(UIncreasing(COND_LOAD49897ARR1(&&(&&(&&(&&(>(i25648[1], 0), >(i24782[1], 0)), <(i24782[1], i4[1])), >(i24804[1], 0)), >(+(i24782[1], 1), 0)), java.lang.Object(ARRAY(i4[1], a142080data[1])), i24782[1], i24804[1], java.lang.Object(java.lang.String(i25648[1])))), ≥))



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

    (8)    (i24782[1] ≥ 0∧i24804[1] + [-1] ≥ 0∧i4[1] + [-1] + [-1]i24782[1] ≥ 0∧i25648[1] + [-1] ≥ 0∧i24782[1] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD49897ARR1(&&(&&(&&(&&(>(i25648[1], 0), >(i24782[1], 0)), <(i24782[1], i4[1])), >(i24804[1], 0)), >(+(i24782[1], 1), 0)), java.lang.Object(ARRAY(i4[1], a142080data[1])), i24782[1], i24804[1], java.lang.Object(java.lang.String(i25648[1])))), ≥)∧[(-1)bni_34 + (-1)Bound*bni_34] + [bni_34]i24804[1] ≥ 0∧[1 + (-1)bso_35] ≥ 0)



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

    (9)    (i24782[1] ≥ 0∧i24804[1] + [-1] ≥ 0∧i4[1] + [-1] + [-1]i24782[1] ≥ 0∧i25648[1] + [-1] ≥ 0∧i24782[1] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD49897ARR1(&&(&&(&&(&&(>(i25648[1], 0), >(i24782[1], 0)), <(i24782[1], i4[1])), >(i24804[1], 0)), >(+(i24782[1], 1), 0)), java.lang.Object(ARRAY(i4[1], a142080data[1])), i24782[1], i24804[1], java.lang.Object(java.lang.String(i25648[1])))), ≥)∧[(-1)bni_34 + (-1)Bound*bni_34] + [bni_34]i24804[1] ≥ 0∧[1 + (-1)bso_35] ≥ 0)



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

    (10)    (i24782[1] ≥ 0∧i24804[1] + [-1] ≥ 0∧i4[1] + [-1] + [-1]i24782[1] ≥ 0∧i25648[1] + [-1] ≥ 0∧i24782[1] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD49897ARR1(&&(&&(&&(&&(>(i25648[1], 0), >(i24782[1], 0)), <(i24782[1], i4[1])), >(i24804[1], 0)), >(+(i24782[1], 1), 0)), java.lang.Object(ARRAY(i4[1], a142080data[1])), i24782[1], i24804[1], java.lang.Object(java.lang.String(i25648[1])))), ≥)∧[(-1)bni_34 + (-1)Bound*bni_34] + [bni_34]i24804[1] ≥ 0∧[1 + (-1)bso_35] ≥ 0)



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

    (11)    (i24782[1] ≥ 0∧i24804[1] + [-1] ≥ 0∧i4[1] + [-1] + [-1]i24782[1] ≥ 0∧i25648[1] + [-1] ≥ 0∧i24782[1] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD49897ARR1(&&(&&(&&(&&(>(i25648[1], 0), >(i24782[1], 0)), <(i24782[1], i4[1])), >(i24804[1], 0)), >(+(i24782[1], 1), 0)), java.lang.Object(ARRAY(i4[1], a142080data[1])), i24782[1], i24804[1], java.lang.Object(java.lang.String(i25648[1])))), ≥)∧0 = 0∧[(-1)bni_34 + (-1)Bound*bni_34] + [bni_34]i24804[1] ≥ 0∧0 = 0∧[1 + (-1)bso_35] ≥ 0)



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

    (12)    ([1] + i24782[1] ≥ 0∧i24804[1] + [-1] ≥ 0∧i4[1] + [-2] + [-1]i24782[1] ≥ 0∧i25648[1] + [-1] ≥ 0∧i24782[1] ≥ 0 ⇒ (UIncreasing(COND_LOAD49897ARR1(&&(&&(&&(&&(>(i25648[1], 0), >(i24782[1], 0)), <(i24782[1], i4[1])), >(i24804[1], 0)), >(+(i24782[1], 1), 0)), java.lang.Object(ARRAY(i4[1], a142080data[1])), i24782[1], i24804[1], java.lang.Object(java.lang.String(i25648[1])))), ≥)∧0 = 0∧[(-1)bni_34 + (-1)Bound*bni_34] + [bni_34]i24804[1] ≥ 0∧0 = 0∧[1 + (-1)bso_35] ≥ 0)



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

    (13)    ([1] + i24782[1] ≥ 0∧i24804[1] ≥ 0∧i4[1] + [-2] + [-1]i24782[1] ≥ 0∧i25648[1] + [-1] ≥ 0∧i24782[1] ≥ 0 ⇒ (UIncreasing(COND_LOAD49897ARR1(&&(&&(&&(&&(>(i25648[1], 0), >(i24782[1], 0)), <(i24782[1], i4[1])), >(i24804[1], 0)), >(+(i24782[1], 1), 0)), java.lang.Object(ARRAY(i4[1], a142080data[1])), i24782[1], i24804[1], java.lang.Object(java.lang.String(i25648[1])))), ≥)∧0 = 0∧[(-1)Bound*bni_34] + [bni_34]i24804[1] ≥ 0∧0 = 0∧[1 + (-1)bso_35] ≥ 0)



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

    (14)    ([1] + i24782[1] ≥ 0∧i24804[1] ≥ 0∧i4[1] ≥ 0∧i25648[1] + [-1] ≥ 0∧i24782[1] ≥ 0 ⇒ (UIncreasing(COND_LOAD49897ARR1(&&(&&(&&(&&(>(i25648[1], 0), >(i24782[1], 0)), <(i24782[1], i4[1])), >(i24804[1], 0)), >(+(i24782[1], 1), 0)), java.lang.Object(ARRAY(i4[1], a142080data[1])), i24782[1], i24804[1], java.lang.Object(java.lang.String(i25648[1])))), ≥)∧0 = 0∧[(-1)Bound*bni_34] + [bni_34]i24804[1] ≥ 0∧0 = 0∧[1 + (-1)bso_35] ≥ 0)



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

    (15)    ([1] + i24782[1] ≥ 0∧i24804[1] ≥ 0∧i4[1] ≥ 0∧i25648[1] ≥ 0∧i24782[1] ≥ 0 ⇒ (UIncreasing(COND_LOAD49897ARR1(&&(&&(&&(&&(>(i25648[1], 0), >(i24782[1], 0)), <(i24782[1], i4[1])), >(i24804[1], 0)), >(+(i24782[1], 1), 0)), java.lang.Object(ARRAY(i4[1], a142080data[1])), i24782[1], i24804[1], java.lang.Object(java.lang.String(i25648[1])))), ≥)∧0 = 0∧[(-1)Bound*bni_34] + [bni_34]i24804[1] ≥ 0∧0 = 0∧[1 + (-1)bso_35] ≥ 0)







For Pair COND_LOAD49897ARR1(TRUE, java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25648))) → JMP52935'(java.lang.Object(ARRAY(i4, a142080data)), +(i24782, 1), i24804) the following chains were created:
  • We consider the chain COND_LOAD49897ARR1(TRUE, java.lang.Object(ARRAY(i4[2], a142080data[2])), i24782[2], i24804[2], java.lang.Object(java.lang.String(i25648[2]))) → JMP52935'(java.lang.Object(ARRAY(i4[2], a142080data[2])), +(i24782[2], 1), i24804[2]) which results in the following constraint:

    (16)    (COND_LOAD49897ARR1(TRUE, java.lang.Object(ARRAY(i4[2], a142080data[2])), i24782[2], i24804[2], java.lang.Object(java.lang.String(i25648[2])))≥NonInfC∧COND_LOAD49897ARR1(TRUE, java.lang.Object(ARRAY(i4[2], a142080data[2])), i24782[2], i24804[2], java.lang.Object(java.lang.String(i25648[2])))≥JMP52935'(java.lang.Object(ARRAY(i4[2], a142080data[2])), +(i24782[2], 1), i24804[2])∧(UIncreasing(JMP52935'(java.lang.Object(ARRAY(i4[2], a142080data[2])), +(i24782[2], 1), i24804[2])), ≥))



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

    (17)    ((UIncreasing(JMP52935'(java.lang.Object(ARRAY(i4[2], a142080data[2])), +(i24782[2], 1), i24804[2])), ≥)∧[(-1)bso_37] ≥ 0)



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

    (18)    ((UIncreasing(JMP52935'(java.lang.Object(ARRAY(i4[2], a142080data[2])), +(i24782[2], 1), i24804[2])), ≥)∧[(-1)bso_37] ≥ 0)



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

    (19)    ((UIncreasing(JMP52935'(java.lang.Object(ARRAY(i4[2], a142080data[2])), +(i24782[2], 1), i24804[2])), ≥)∧[(-1)bso_37] ≥ 0)



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

    (20)    ((UIncreasing(JMP52935'(java.lang.Object(ARRAY(i4[2], a142080data[2])), +(i24782[2], 1), i24804[2])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_37] ≥ 0)







For Pair INC53049(java.lang.Object(ARRAY(i4, a142080data)), i25050, i24804) → LOAD49897(java.lang.Object(ARRAY(i4, a142080data)), i25050, +(i24804, -1)) the following chains were created:
  • We consider the chain INC53049(java.lang.Object(ARRAY(i4[3], a142080data[3])), i25050[3], i24804[3]) → LOAD49897(java.lang.Object(ARRAY(i4[3], a142080data[3])), i25050[3], +(i24804[3], -1)) which results in the following constraint:

    (21)    (INC53049(java.lang.Object(ARRAY(i4[3], a142080data[3])), i25050[3], i24804[3])≥NonInfC∧INC53049(java.lang.Object(ARRAY(i4[3], a142080data[3])), i25050[3], i24804[3])≥LOAD49897(java.lang.Object(ARRAY(i4[3], a142080data[3])), i25050[3], +(i24804[3], -1))∧(UIncreasing(LOAD49897(java.lang.Object(ARRAY(i4[3], a142080data[3])), i25050[3], +(i24804[3], -1))), ≥))



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

    (22)    ((UIncreasing(LOAD49897(java.lang.Object(ARRAY(i4[3], a142080data[3])), i25050[3], +(i24804[3], -1))), ≥)∧[(-1)bso_39] ≥ 0)



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

    (23)    ((UIncreasing(LOAD49897(java.lang.Object(ARRAY(i4[3], a142080data[3])), i25050[3], +(i24804[3], -1))), ≥)∧[(-1)bso_39] ≥ 0)



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

    (24)    ((UIncreasing(LOAD49897(java.lang.Object(ARRAY(i4[3], a142080data[3])), i25050[3], +(i24804[3], -1))), ≥)∧[(-1)bso_39] ≥ 0)



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

    (25)    ((UIncreasing(LOAD49897(java.lang.Object(ARRAY(i4[3], a142080data[3])), i25050[3], +(i24804[3], -1))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_39] ≥ 0)







For Pair LOAD49897(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804) → LOAD49897ARR2(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25649))) the following chains were created:
  • We consider the chain LOAD49897(java.lang.Object(ARRAY(i4[4], a142080data[4])), i24782[4], i24804[4]) → LOAD49897ARR2(java.lang.Object(ARRAY(i4[4], a142080data[4])), i24782[4], i24804[4], java.lang.Object(java.lang.String(i25649[4]))) which results in the following constraint:

    (26)    (LOAD49897(java.lang.Object(ARRAY(i4[4], a142080data[4])), i24782[4], i24804[4])≥NonInfC∧LOAD49897(java.lang.Object(ARRAY(i4[4], a142080data[4])), i24782[4], i24804[4])≥LOAD49897ARR2(java.lang.Object(ARRAY(i4[4], a142080data[4])), i24782[4], i24804[4], java.lang.Object(java.lang.String(i25649[4])))∧(UIncreasing(LOAD49897ARR2(java.lang.Object(ARRAY(i4[4], a142080data[4])), i24782[4], i24804[4], java.lang.Object(java.lang.String(i25649[4])))), ≥))



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

    (27)    ((UIncreasing(LOAD49897ARR2(java.lang.Object(ARRAY(i4[4], a142080data[4])), i24782[4], i24804[4], java.lang.Object(java.lang.String(i25649[4])))), ≥)∧[1 + (-1)bso_41] ≥ 0)



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

    (28)    ((UIncreasing(LOAD49897ARR2(java.lang.Object(ARRAY(i4[4], a142080data[4])), i24782[4], i24804[4], java.lang.Object(java.lang.String(i25649[4])))), ≥)∧[1 + (-1)bso_41] ≥ 0)



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

    (29)    ((UIncreasing(LOAD49897ARR2(java.lang.Object(ARRAY(i4[4], a142080data[4])), i24782[4], i24804[4], java.lang.Object(java.lang.String(i25649[4])))), ≥)∧[1 + (-1)bso_41] ≥ 0)



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

    (30)    ((UIncreasing(LOAD49897ARR2(java.lang.Object(ARRAY(i4[4], a142080data[4])), i24782[4], i24804[4], java.lang.Object(java.lang.String(i25649[4])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_41] ≥ 0)







For Pair LOAD49897ARR2(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25649))) → COND_LOAD49897ARR2(&&(&&(&&(&&(<=(i25649, 0), >(i24782, 0)), <(i24782, i4)), >(i24804, 0)), >(+(i24782, 1), 0)), java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25649))) the following chains were created:
  • We consider the chain LOAD49897ARR2(java.lang.Object(ARRAY(i4[5], a142080data[5])), i24782[5], i24804[5], java.lang.Object(java.lang.String(i25649[5]))) → COND_LOAD49897ARR2(&&(&&(&&(&&(<=(i25649[5], 0), >(i24782[5], 0)), <(i24782[5], i4[5])), >(i24804[5], 0)), >(+(i24782[5], 1), 0)), java.lang.Object(ARRAY(i4[5], a142080data[5])), i24782[5], i24804[5], java.lang.Object(java.lang.String(i25649[5]))), COND_LOAD49897ARR2(TRUE, java.lang.Object(ARRAY(i4[6], a142080data[6])), i24782[6], i24804[6], java.lang.Object(java.lang.String(i25649[6]))) → LOAD49897(java.lang.Object(ARRAY(i4[6], a142080data[6])), +(i24782[6], 1), +(i24804[6], -1)) which results in the following constraint:

    (31)    (i25649[5]=i25649[6]∧i24782[5]=i24782[6]∧i4[5]=i4[6]∧a142080data[5]=a142080data[6]∧&&(&&(&&(&&(<=(i25649[5], 0), >(i24782[5], 0)), <(i24782[5], i4[5])), >(i24804[5], 0)), >(+(i24782[5], 1), 0))=TRUE∧i24804[5]=i24804[6] ⇒ LOAD49897ARR2(java.lang.Object(ARRAY(i4[5], a142080data[5])), i24782[5], i24804[5], java.lang.Object(java.lang.String(i25649[5])))≥NonInfC∧LOAD49897ARR2(java.lang.Object(ARRAY(i4[5], a142080data[5])), i24782[5], i24804[5], java.lang.Object(java.lang.String(i25649[5])))≥COND_LOAD49897ARR2(&&(&&(&&(&&(<=(i25649[5], 0), >(i24782[5], 0)), <(i24782[5], i4[5])), >(i24804[5], 0)), >(+(i24782[5], 1), 0)), java.lang.Object(ARRAY(i4[5], a142080data[5])), i24782[5], i24804[5], java.lang.Object(java.lang.String(i25649[5])))∧(UIncreasing(COND_LOAD49897ARR2(&&(&&(&&(&&(<=(i25649[5], 0), >(i24782[5], 0)), <(i24782[5], i4[5])), >(i24804[5], 0)), >(+(i24782[5], 1), 0)), java.lang.Object(ARRAY(i4[5], a142080data[5])), i24782[5], i24804[5], java.lang.Object(java.lang.String(i25649[5])))), ≥))



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

    (32)    (>(+(i24782[5], 1), 0)=TRUE∧>(i24804[5], 0)=TRUE∧<(i24782[5], i4[5])=TRUE∧<=(i25649[5], 0)=TRUE∧>(i24782[5], 0)=TRUE ⇒ LOAD49897ARR2(java.lang.Object(ARRAY(i4[5], a142080data[5])), i24782[5], i24804[5], java.lang.Object(java.lang.String(i25649[5])))≥NonInfC∧LOAD49897ARR2(java.lang.Object(ARRAY(i4[5], a142080data[5])), i24782[5], i24804[5], java.lang.Object(java.lang.String(i25649[5])))≥COND_LOAD49897ARR2(&&(&&(&&(&&(<=(i25649[5], 0), >(i24782[5], 0)), <(i24782[5], i4[5])), >(i24804[5], 0)), >(+(i24782[5], 1), 0)), java.lang.Object(ARRAY(i4[5], a142080data[5])), i24782[5], i24804[5], java.lang.Object(java.lang.String(i25649[5])))∧(UIncreasing(COND_LOAD49897ARR2(&&(&&(&&(&&(<=(i25649[5], 0), >(i24782[5], 0)), <(i24782[5], i4[5])), >(i24804[5], 0)), >(+(i24782[5], 1), 0)), java.lang.Object(ARRAY(i4[5], a142080data[5])), i24782[5], i24804[5], java.lang.Object(java.lang.String(i25649[5])))), ≥))



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

    (33)    (i24782[5] ≥ 0∧i24804[5] + [-1] ≥ 0∧i4[5] + [-1] + [-1]i24782[5] ≥ 0∧[-1]i25649[5] ≥ 0∧i24782[5] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD49897ARR2(&&(&&(&&(&&(<=(i25649[5], 0), >(i24782[5], 0)), <(i24782[5], i4[5])), >(i24804[5], 0)), >(+(i24782[5], 1), 0)), java.lang.Object(ARRAY(i4[5], a142080data[5])), i24782[5], i24804[5], java.lang.Object(java.lang.String(i25649[5])))), ≥)∧[(-2)bni_42 + (-1)Bound*bni_42] + [bni_42]i24804[5] ≥ 0∧[(-1)bso_43] ≥ 0)



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

    (34)    (i24782[5] ≥ 0∧i24804[5] + [-1] ≥ 0∧i4[5] + [-1] + [-1]i24782[5] ≥ 0∧[-1]i25649[5] ≥ 0∧i24782[5] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD49897ARR2(&&(&&(&&(&&(<=(i25649[5], 0), >(i24782[5], 0)), <(i24782[5], i4[5])), >(i24804[5], 0)), >(+(i24782[5], 1), 0)), java.lang.Object(ARRAY(i4[5], a142080data[5])), i24782[5], i24804[5], java.lang.Object(java.lang.String(i25649[5])))), ≥)∧[(-2)bni_42 + (-1)Bound*bni_42] + [bni_42]i24804[5] ≥ 0∧[(-1)bso_43] ≥ 0)



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

    (35)    (i24782[5] ≥ 0∧i24804[5] + [-1] ≥ 0∧i4[5] + [-1] + [-1]i24782[5] ≥ 0∧[-1]i25649[5] ≥ 0∧i24782[5] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD49897ARR2(&&(&&(&&(&&(<=(i25649[5], 0), >(i24782[5], 0)), <(i24782[5], i4[5])), >(i24804[5], 0)), >(+(i24782[5], 1), 0)), java.lang.Object(ARRAY(i4[5], a142080data[5])), i24782[5], i24804[5], java.lang.Object(java.lang.String(i25649[5])))), ≥)∧[(-2)bni_42 + (-1)Bound*bni_42] + [bni_42]i24804[5] ≥ 0∧[(-1)bso_43] ≥ 0)



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

    (36)    (i24782[5] ≥ 0∧i24804[5] + [-1] ≥ 0∧i4[5] + [-1] + [-1]i24782[5] ≥ 0∧[-1]i25649[5] ≥ 0∧i24782[5] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD49897ARR2(&&(&&(&&(&&(<=(i25649[5], 0), >(i24782[5], 0)), <(i24782[5], i4[5])), >(i24804[5], 0)), >(+(i24782[5], 1), 0)), java.lang.Object(ARRAY(i4[5], a142080data[5])), i24782[5], i24804[5], java.lang.Object(java.lang.String(i25649[5])))), ≥)∧0 = 0∧[(-2)bni_42 + (-1)Bound*bni_42] + [bni_42]i24804[5] ≥ 0∧0 = 0∧[(-1)bso_43] ≥ 0)



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

    (37)    ([1] + i24782[5] ≥ 0∧i24804[5] + [-1] ≥ 0∧i4[5] + [-2] + [-1]i24782[5] ≥ 0∧[-1]i25649[5] ≥ 0∧i24782[5] ≥ 0 ⇒ (UIncreasing(COND_LOAD49897ARR2(&&(&&(&&(&&(<=(i25649[5], 0), >(i24782[5], 0)), <(i24782[5], i4[5])), >(i24804[5], 0)), >(+(i24782[5], 1), 0)), java.lang.Object(ARRAY(i4[5], a142080data[5])), i24782[5], i24804[5], java.lang.Object(java.lang.String(i25649[5])))), ≥)∧0 = 0∧[(-2)bni_42 + (-1)Bound*bni_42] + [bni_42]i24804[5] ≥ 0∧0 = 0∧[(-1)bso_43] ≥ 0)



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

    (38)    ([1] + i24782[5] ≥ 0∧i24804[5] ≥ 0∧i4[5] + [-2] + [-1]i24782[5] ≥ 0∧[-1]i25649[5] ≥ 0∧i24782[5] ≥ 0 ⇒ (UIncreasing(COND_LOAD49897ARR2(&&(&&(&&(&&(<=(i25649[5], 0), >(i24782[5], 0)), <(i24782[5], i4[5])), >(i24804[5], 0)), >(+(i24782[5], 1), 0)), java.lang.Object(ARRAY(i4[5], a142080data[5])), i24782[5], i24804[5], java.lang.Object(java.lang.String(i25649[5])))), ≥)∧0 = 0∧[(-1)bni_42 + (-1)Bound*bni_42] + [bni_42]i24804[5] ≥ 0∧0 = 0∧[(-1)bso_43] ≥ 0)



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

    (39)    ([1] + i24782[5] ≥ 0∧i24804[5] ≥ 0∧i4[5] ≥ 0∧[-1]i25649[5] ≥ 0∧i24782[5] ≥ 0 ⇒ (UIncreasing(COND_LOAD49897ARR2(&&(&&(&&(&&(<=(i25649[5], 0), >(i24782[5], 0)), <(i24782[5], i4[5])), >(i24804[5], 0)), >(+(i24782[5], 1), 0)), java.lang.Object(ARRAY(i4[5], a142080data[5])), i24782[5], i24804[5], java.lang.Object(java.lang.String(i25649[5])))), ≥)∧0 = 0∧[(-1)bni_42 + (-1)Bound*bni_42] + [bni_42]i24804[5] ≥ 0∧0 = 0∧[(-1)bso_43] ≥ 0)



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

    (40)    ([1] + i24782[5] ≥ 0∧i24804[5] ≥ 0∧i4[5] ≥ 0∧i25649[5] ≥ 0∧i24782[5] ≥ 0 ⇒ (UIncreasing(COND_LOAD49897ARR2(&&(&&(&&(&&(<=(i25649[5], 0), >(i24782[5], 0)), <(i24782[5], i4[5])), >(i24804[5], 0)), >(+(i24782[5], 1), 0)), java.lang.Object(ARRAY(i4[5], a142080data[5])), i24782[5], i24804[5], java.lang.Object(java.lang.String(i25649[5])))), ≥)∧0 = 0∧[(-1)bni_42 + (-1)Bound*bni_42] + [bni_42]i24804[5] ≥ 0∧0 = 0∧[(-1)bso_43] ≥ 0)







For Pair COND_LOAD49897ARR2(TRUE, java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25649))) → LOAD49897(java.lang.Object(ARRAY(i4, a142080data)), +(i24782, 1), +(i24804, -1)) the following chains were created:
  • We consider the chain COND_LOAD49897ARR2(TRUE, java.lang.Object(ARRAY(i4[6], a142080data[6])), i24782[6], i24804[6], java.lang.Object(java.lang.String(i25649[6]))) → LOAD49897(java.lang.Object(ARRAY(i4[6], a142080data[6])), +(i24782[6], 1), +(i24804[6], -1)) which results in the following constraint:

    (41)    (COND_LOAD49897ARR2(TRUE, java.lang.Object(ARRAY(i4[6], a142080data[6])), i24782[6], i24804[6], java.lang.Object(java.lang.String(i25649[6])))≥NonInfC∧COND_LOAD49897ARR2(TRUE, java.lang.Object(ARRAY(i4[6], a142080data[6])), i24782[6], i24804[6], java.lang.Object(java.lang.String(i25649[6])))≥LOAD49897(java.lang.Object(ARRAY(i4[6], a142080data[6])), +(i24782[6], 1), +(i24804[6], -1))∧(UIncreasing(LOAD49897(java.lang.Object(ARRAY(i4[6], a142080data[6])), +(i24782[6], 1), +(i24804[6], -1))), ≥))



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

    (42)    ((UIncreasing(LOAD49897(java.lang.Object(ARRAY(i4[6], a142080data[6])), +(i24782[6], 1), +(i24804[6], -1))), ≥)∧[(-1)bso_45] ≥ 0)



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

    (43)    ((UIncreasing(LOAD49897(java.lang.Object(ARRAY(i4[6], a142080data[6])), +(i24782[6], 1), +(i24804[6], -1))), ≥)∧[(-1)bso_45] ≥ 0)



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

    (44)    ((UIncreasing(LOAD49897(java.lang.Object(ARRAY(i4[6], a142080data[6])), +(i24782[6], 1), +(i24804[6], -1))), ≥)∧[(-1)bso_45] ≥ 0)



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

    (45)    ((UIncreasing(LOAD49897(java.lang.Object(ARRAY(i4[6], a142080data[6])), +(i24782[6], 1), +(i24804[6], -1))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_45] ≥ 0)







For Pair LOAD49897(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804) → LOAD49897ARR3(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25648))) the following chains were created:
  • We consider the chain LOAD49897(java.lang.Object(ARRAY(i4[7], a142080data[7])), i24782[7], i24804[7]) → LOAD49897ARR3(java.lang.Object(ARRAY(i4[7], a142080data[7])), i24782[7], i24804[7], java.lang.Object(java.lang.String(i25648[7]))) which results in the following constraint:

    (46)    (LOAD49897(java.lang.Object(ARRAY(i4[7], a142080data[7])), i24782[7], i24804[7])≥NonInfC∧LOAD49897(java.lang.Object(ARRAY(i4[7], a142080data[7])), i24782[7], i24804[7])≥LOAD49897ARR3(java.lang.Object(ARRAY(i4[7], a142080data[7])), i24782[7], i24804[7], java.lang.Object(java.lang.String(i25648[7])))∧(UIncreasing(LOAD49897ARR3(java.lang.Object(ARRAY(i4[7], a142080data[7])), i24782[7], i24804[7], java.lang.Object(java.lang.String(i25648[7])))), ≥))



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

    (47)    ((UIncreasing(LOAD49897ARR3(java.lang.Object(ARRAY(i4[7], a142080data[7])), i24782[7], i24804[7], java.lang.Object(java.lang.String(i25648[7])))), ≥)∧[1 + (-1)bso_47] ≥ 0)



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

    (48)    ((UIncreasing(LOAD49897ARR3(java.lang.Object(ARRAY(i4[7], a142080data[7])), i24782[7], i24804[7], java.lang.Object(java.lang.String(i25648[7])))), ≥)∧[1 + (-1)bso_47] ≥ 0)



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

    (49)    ((UIncreasing(LOAD49897ARR3(java.lang.Object(ARRAY(i4[7], a142080data[7])), i24782[7], i24804[7], java.lang.Object(java.lang.String(i25648[7])))), ≥)∧[1 + (-1)bso_47] ≥ 0)



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

    (50)    ((UIncreasing(LOAD49897ARR3(java.lang.Object(ARRAY(i4[7], a142080data[7])), i24782[7], i24804[7], java.lang.Object(java.lang.String(i25648[7])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_47] ≥ 0)







For Pair LOAD49897ARR3(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25648))) → COND_LOAD49897ARR3(&&(&&(&&(&&(>(i25648, 0), >(i24782, 0)), <(i24782, i4)), >(i24804, 0)), >(+(i24782, 1), 0)), java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25648))) the following chains were created:
  • We consider the chain LOAD49897ARR3(java.lang.Object(ARRAY(i4[8], a142080data[8])), i24782[8], i24804[8], java.lang.Object(java.lang.String(i25648[8]))) → COND_LOAD49897ARR3(&&(&&(&&(&&(>(i25648[8], 0), >(i24782[8], 0)), <(i24782[8], i4[8])), >(i24804[8], 0)), >(+(i24782[8], 1), 0)), java.lang.Object(ARRAY(i4[8], a142080data[8])), i24782[8], i24804[8], java.lang.Object(java.lang.String(i25648[8]))), COND_LOAD49897ARR3(TRUE, java.lang.Object(ARRAY(i4[9], a142080data[9])), i24782[9], i24804[9], java.lang.Object(java.lang.String(i25648[9]))) → LOAD49897(java.lang.Object(ARRAY(i4[9], a142080data[9])), +(i24782[9], 1), +(i24804[9], -1)) which results in the following constraint:

    (51)    (i24804[8]=i24804[9]∧i4[8]=i4[9]∧a142080data[8]=a142080data[9]∧i24782[8]=i24782[9]∧i25648[8]=i25648[9]∧&&(&&(&&(&&(>(i25648[8], 0), >(i24782[8], 0)), <(i24782[8], i4[8])), >(i24804[8], 0)), >(+(i24782[8], 1), 0))=TRUE ⇒ LOAD49897ARR3(java.lang.Object(ARRAY(i4[8], a142080data[8])), i24782[8], i24804[8], java.lang.Object(java.lang.String(i25648[8])))≥NonInfC∧LOAD49897ARR3(java.lang.Object(ARRAY(i4[8], a142080data[8])), i24782[8], i24804[8], java.lang.Object(java.lang.String(i25648[8])))≥COND_LOAD49897ARR3(&&(&&(&&(&&(>(i25648[8], 0), >(i24782[8], 0)), <(i24782[8], i4[8])), >(i24804[8], 0)), >(+(i24782[8], 1), 0)), java.lang.Object(ARRAY(i4[8], a142080data[8])), i24782[8], i24804[8], java.lang.Object(java.lang.String(i25648[8])))∧(UIncreasing(COND_LOAD49897ARR3(&&(&&(&&(&&(>(i25648[8], 0), >(i24782[8], 0)), <(i24782[8], i4[8])), >(i24804[8], 0)), >(+(i24782[8], 1), 0)), java.lang.Object(ARRAY(i4[8], a142080data[8])), i24782[8], i24804[8], java.lang.Object(java.lang.String(i25648[8])))), ≥))



    We simplified constraint (51) using rules (IV), (IDP_BOOLEAN) which results in the following new constraint:

    (52)    (>(+(i24782[8], 1), 0)=TRUE∧>(i24804[8], 0)=TRUE∧<(i24782[8], i4[8])=TRUE∧>(i25648[8], 0)=TRUE∧>(i24782[8], 0)=TRUE ⇒ LOAD49897ARR3(java.lang.Object(ARRAY(i4[8], a142080data[8])), i24782[8], i24804[8], java.lang.Object(java.lang.String(i25648[8])))≥NonInfC∧LOAD49897ARR3(java.lang.Object(ARRAY(i4[8], a142080data[8])), i24782[8], i24804[8], java.lang.Object(java.lang.String(i25648[8])))≥COND_LOAD49897ARR3(&&(&&(&&(&&(>(i25648[8], 0), >(i24782[8], 0)), <(i24782[8], i4[8])), >(i24804[8], 0)), >(+(i24782[8], 1), 0)), java.lang.Object(ARRAY(i4[8], a142080data[8])), i24782[8], i24804[8], java.lang.Object(java.lang.String(i25648[8])))∧(UIncreasing(COND_LOAD49897ARR3(&&(&&(&&(&&(>(i25648[8], 0), >(i24782[8], 0)), <(i24782[8], i4[8])), >(i24804[8], 0)), >(+(i24782[8], 1), 0)), java.lang.Object(ARRAY(i4[8], a142080data[8])), i24782[8], i24804[8], java.lang.Object(java.lang.String(i25648[8])))), ≥))



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

    (53)    (i24782[8] ≥ 0∧i24804[8] + [-1] ≥ 0∧i4[8] + [-1] + [-1]i24782[8] ≥ 0∧i25648[8] + [-1] ≥ 0∧i24782[8] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD49897ARR3(&&(&&(&&(&&(>(i25648[8], 0), >(i24782[8], 0)), <(i24782[8], i4[8])), >(i24804[8], 0)), >(+(i24782[8], 1), 0)), java.lang.Object(ARRAY(i4[8], a142080data[8])), i24782[8], i24804[8], java.lang.Object(java.lang.String(i25648[8])))), ≥)∧[(-2)bni_48 + (-1)Bound*bni_48] + [bni_48]i24804[8] ≥ 0∧[(-1)bso_49] ≥ 0)



    We simplified constraint (53) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (54)    (i24782[8] ≥ 0∧i24804[8] + [-1] ≥ 0∧i4[8] + [-1] + [-1]i24782[8] ≥ 0∧i25648[8] + [-1] ≥ 0∧i24782[8] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD49897ARR3(&&(&&(&&(&&(>(i25648[8], 0), >(i24782[8], 0)), <(i24782[8], i4[8])), >(i24804[8], 0)), >(+(i24782[8], 1), 0)), java.lang.Object(ARRAY(i4[8], a142080data[8])), i24782[8], i24804[8], java.lang.Object(java.lang.String(i25648[8])))), ≥)∧[(-2)bni_48 + (-1)Bound*bni_48] + [bni_48]i24804[8] ≥ 0∧[(-1)bso_49] ≥ 0)



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

    (55)    (i24782[8] ≥ 0∧i24804[8] + [-1] ≥ 0∧i4[8] + [-1] + [-1]i24782[8] ≥ 0∧i25648[8] + [-1] ≥ 0∧i24782[8] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD49897ARR3(&&(&&(&&(&&(>(i25648[8], 0), >(i24782[8], 0)), <(i24782[8], i4[8])), >(i24804[8], 0)), >(+(i24782[8], 1), 0)), java.lang.Object(ARRAY(i4[8], a142080data[8])), i24782[8], i24804[8], java.lang.Object(java.lang.String(i25648[8])))), ≥)∧[(-2)bni_48 + (-1)Bound*bni_48] + [bni_48]i24804[8] ≥ 0∧[(-1)bso_49] ≥ 0)



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

    (56)    (i24782[8] ≥ 0∧i24804[8] + [-1] ≥ 0∧i4[8] + [-1] + [-1]i24782[8] ≥ 0∧i25648[8] + [-1] ≥ 0∧i24782[8] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD49897ARR3(&&(&&(&&(&&(>(i25648[8], 0), >(i24782[8], 0)), <(i24782[8], i4[8])), >(i24804[8], 0)), >(+(i24782[8], 1), 0)), java.lang.Object(ARRAY(i4[8], a142080data[8])), i24782[8], i24804[8], java.lang.Object(java.lang.String(i25648[8])))), ≥)∧0 = 0∧[(-2)bni_48 + (-1)Bound*bni_48] + [bni_48]i24804[8] ≥ 0∧0 = 0∧[(-1)bso_49] ≥ 0)



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

    (57)    ([1] + i24782[8] ≥ 0∧i24804[8] + [-1] ≥ 0∧i4[8] + [-2] + [-1]i24782[8] ≥ 0∧i25648[8] + [-1] ≥ 0∧i24782[8] ≥ 0 ⇒ (UIncreasing(COND_LOAD49897ARR3(&&(&&(&&(&&(>(i25648[8], 0), >(i24782[8], 0)), <(i24782[8], i4[8])), >(i24804[8], 0)), >(+(i24782[8], 1), 0)), java.lang.Object(ARRAY(i4[8], a142080data[8])), i24782[8], i24804[8], java.lang.Object(java.lang.String(i25648[8])))), ≥)∧0 = 0∧[(-2)bni_48 + (-1)Bound*bni_48] + [bni_48]i24804[8] ≥ 0∧0 = 0∧[(-1)bso_49] ≥ 0)



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

    (58)    ([1] + i24782[8] ≥ 0∧i24804[8] ≥ 0∧i4[8] + [-2] + [-1]i24782[8] ≥ 0∧i25648[8] + [-1] ≥ 0∧i24782[8] ≥ 0 ⇒ (UIncreasing(COND_LOAD49897ARR3(&&(&&(&&(&&(>(i25648[8], 0), >(i24782[8], 0)), <(i24782[8], i4[8])), >(i24804[8], 0)), >(+(i24782[8], 1), 0)), java.lang.Object(ARRAY(i4[8], a142080data[8])), i24782[8], i24804[8], java.lang.Object(java.lang.String(i25648[8])))), ≥)∧0 = 0∧[(-1)bni_48 + (-1)Bound*bni_48] + [bni_48]i24804[8] ≥ 0∧0 = 0∧[(-1)bso_49] ≥ 0)



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

    (59)    ([1] + i24782[8] ≥ 0∧i24804[8] ≥ 0∧i4[8] ≥ 0∧i25648[8] + [-1] ≥ 0∧i24782[8] ≥ 0 ⇒ (UIncreasing(COND_LOAD49897ARR3(&&(&&(&&(&&(>(i25648[8], 0), >(i24782[8], 0)), <(i24782[8], i4[8])), >(i24804[8], 0)), >(+(i24782[8], 1), 0)), java.lang.Object(ARRAY(i4[8], a142080data[8])), i24782[8], i24804[8], java.lang.Object(java.lang.String(i25648[8])))), ≥)∧0 = 0∧[(-1)bni_48 + (-1)Bound*bni_48] + [bni_48]i24804[8] ≥ 0∧0 = 0∧[(-1)bso_49] ≥ 0)



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

    (60)    ([1] + i24782[8] ≥ 0∧i24804[8] ≥ 0∧i4[8] ≥ 0∧i25648[8] ≥ 0∧i24782[8] ≥ 0 ⇒ (UIncreasing(COND_LOAD49897ARR3(&&(&&(&&(&&(>(i25648[8], 0), >(i24782[8], 0)), <(i24782[8], i4[8])), >(i24804[8], 0)), >(+(i24782[8], 1), 0)), java.lang.Object(ARRAY(i4[8], a142080data[8])), i24782[8], i24804[8], java.lang.Object(java.lang.String(i25648[8])))), ≥)∧0 = 0∧[(-1)bni_48 + (-1)Bound*bni_48] + [bni_48]i24804[8] ≥ 0∧0 = 0∧[(-1)bso_49] ≥ 0)







For Pair COND_LOAD49897ARR3(TRUE, java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25648))) → LOAD49897(java.lang.Object(ARRAY(i4, a142080data)), +(i24782, 1), +(i24804, -1)) the following chains were created:
  • We consider the chain COND_LOAD49897ARR3(TRUE, java.lang.Object(ARRAY(i4[9], a142080data[9])), i24782[9], i24804[9], java.lang.Object(java.lang.String(i25648[9]))) → LOAD49897(java.lang.Object(ARRAY(i4[9], a142080data[9])), +(i24782[9], 1), +(i24804[9], -1)) which results in the following constraint:

    (61)    (COND_LOAD49897ARR3(TRUE, java.lang.Object(ARRAY(i4[9], a142080data[9])), i24782[9], i24804[9], java.lang.Object(java.lang.String(i25648[9])))≥NonInfC∧COND_LOAD49897ARR3(TRUE, java.lang.Object(ARRAY(i4[9], a142080data[9])), i24782[9], i24804[9], java.lang.Object(java.lang.String(i25648[9])))≥LOAD49897(java.lang.Object(ARRAY(i4[9], a142080data[9])), +(i24782[9], 1), +(i24804[9], -1))∧(UIncreasing(LOAD49897(java.lang.Object(ARRAY(i4[9], a142080data[9])), +(i24782[9], 1), +(i24804[9], -1))), ≥))



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

    (62)    ((UIncreasing(LOAD49897(java.lang.Object(ARRAY(i4[9], a142080data[9])), +(i24782[9], 1), +(i24804[9], -1))), ≥)∧[(-1)bso_51] ≥ 0)



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

    (63)    ((UIncreasing(LOAD49897(java.lang.Object(ARRAY(i4[9], a142080data[9])), +(i24782[9], 1), +(i24804[9], -1))), ≥)∧[(-1)bso_51] ≥ 0)



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

    (64)    ((UIncreasing(LOAD49897(java.lang.Object(ARRAY(i4[9], a142080data[9])), +(i24782[9], 1), +(i24804[9], -1))), ≥)∧[(-1)bso_51] ≥ 0)



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

    (65)    ((UIncreasing(LOAD49897(java.lang.Object(ARRAY(i4[9], a142080data[9])), +(i24782[9], 1), +(i24804[9], -1))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_51] ≥ 0)







For Pair JMP52935'(java.lang.Object(ARRAY(i4, a142080data)), i25050, i24804) → INC53049(java.lang.Object(ARRAY(i4, a142080data)), i25050, i24804) the following chains were created:
  • We consider the chain JMP52935'(java.lang.Object(ARRAY(i4[10], a142080data[10])), i25050[10], i24804[10]) → INC53049(java.lang.Object(ARRAY(i4[10], a142080data[10])), i25050[10], i24804[10]), INC53049(java.lang.Object(ARRAY(i4[3], a142080data[3])), i25050[3], i24804[3]) → LOAD49897(java.lang.Object(ARRAY(i4[3], a142080data[3])), i25050[3], +(i24804[3], -1)) which results in the following constraint:

    (66)    (i25050[10]=i25050[3]∧i4[10]=i4[3]∧a142080data[10]=a142080data[3]∧i24804[10]=i24804[3] ⇒ JMP52935'(java.lang.Object(ARRAY(i4[10], a142080data[10])), i25050[10], i24804[10])≥NonInfC∧JMP52935'(java.lang.Object(ARRAY(i4[10], a142080data[10])), i25050[10], i24804[10])≥INC53049(java.lang.Object(ARRAY(i4[10], a142080data[10])), i25050[10], i24804[10])∧(UIncreasing(INC53049(java.lang.Object(ARRAY(i4[10], a142080data[10])), i25050[10], i24804[10])), ≥))



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

    (67)    (JMP52935'(java.lang.Object(ARRAY(i4[10], a142080data[10])), i25050[10], i24804[10])≥NonInfC∧JMP52935'(java.lang.Object(ARRAY(i4[10], a142080data[10])), i25050[10], i24804[10])≥INC53049(java.lang.Object(ARRAY(i4[10], a142080data[10])), i25050[10], i24804[10])∧(UIncreasing(INC53049(java.lang.Object(ARRAY(i4[10], a142080data[10])), i25050[10], i24804[10])), ≥))



    We simplified constraint (67) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (68)    ((UIncreasing(INC53049(java.lang.Object(ARRAY(i4[10], a142080data[10])), i25050[10], i24804[10])), ≥)∧[(-1)bso_53] ≥ 0)



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

    (69)    ((UIncreasing(INC53049(java.lang.Object(ARRAY(i4[10], a142080data[10])), i25050[10], i24804[10])), ≥)∧[(-1)bso_53] ≥ 0)



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

    (70)    ((UIncreasing(INC53049(java.lang.Object(ARRAY(i4[10], a142080data[10])), i25050[10], i24804[10])), ≥)∧[(-1)bso_53] ≥ 0)



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

    (71)    ((UIncreasing(INC53049(java.lang.Object(ARRAY(i4[10], a142080data[10])), i25050[10], i24804[10])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_53] ≥ 0)







For Pair LOAD49897(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804) → LOAD49897ARR4(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25648))) the following chains were created:
  • We consider the chain LOAD49897(java.lang.Object(ARRAY(i4[11], a142080data[11])), i24782[11], i24804[11]) → LOAD49897ARR4(java.lang.Object(ARRAY(i4[11], a142080data[11])), i24782[11], i24804[11], java.lang.Object(java.lang.String(i25648[11]))) which results in the following constraint:

    (72)    (LOAD49897(java.lang.Object(ARRAY(i4[11], a142080data[11])), i24782[11], i24804[11])≥NonInfC∧LOAD49897(java.lang.Object(ARRAY(i4[11], a142080data[11])), i24782[11], i24804[11])≥LOAD49897ARR4(java.lang.Object(ARRAY(i4[11], a142080data[11])), i24782[11], i24804[11], java.lang.Object(java.lang.String(i25648[11])))∧(UIncreasing(LOAD49897ARR4(java.lang.Object(ARRAY(i4[11], a142080data[11])), i24782[11], i24804[11], java.lang.Object(java.lang.String(i25648[11])))), ≥))



    We simplified constraint (72) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (73)    ((UIncreasing(LOAD49897ARR4(java.lang.Object(ARRAY(i4[11], a142080data[11])), i24782[11], i24804[11], java.lang.Object(java.lang.String(i25648[11])))), ≥)∧[(-1)bso_55] ≥ 0)



    We simplified constraint (73) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (74)    ((UIncreasing(LOAD49897ARR4(java.lang.Object(ARRAY(i4[11], a142080data[11])), i24782[11], i24804[11], java.lang.Object(java.lang.String(i25648[11])))), ≥)∧[(-1)bso_55] ≥ 0)



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

    (75)    ((UIncreasing(LOAD49897ARR4(java.lang.Object(ARRAY(i4[11], a142080data[11])), i24782[11], i24804[11], java.lang.Object(java.lang.String(i25648[11])))), ≥)∧[(-1)bso_55] ≥ 0)



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

    (76)    ((UIncreasing(LOAD49897ARR4(java.lang.Object(ARRAY(i4[11], a142080data[11])), i24782[11], i24804[11], java.lang.Object(java.lang.String(i25648[11])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_55] ≥ 0)







For Pair LOAD49897ARR4(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25648))) → COND_LOAD49897ARR4(&&(&&(&&(&&(>(i25648, 0), >(i24782, 0)), <(i24782, i4)), >(i24804, 0)), >(+(i24782, 1), 0)), java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25648))) the following chains were created:
  • We consider the chain LOAD49897ARR4(java.lang.Object(ARRAY(i4[12], a142080data[12])), i24782[12], i24804[12], java.lang.Object(java.lang.String(i25648[12]))) → COND_LOAD49897ARR4(&&(&&(&&(&&(>(i25648[12], 0), >(i24782[12], 0)), <(i24782[12], i4[12])), >(i24804[12], 0)), >(+(i24782[12], 1), 0)), java.lang.Object(ARRAY(i4[12], a142080data[12])), i24782[12], i24804[12], java.lang.Object(java.lang.String(i25648[12]))), COND_LOAD49897ARR4(TRUE, java.lang.Object(ARRAY(i4[13], a142080data[13])), i24782[13], i24804[13], java.lang.Object(java.lang.String(i25648[13]))) → INC53049(java.lang.Object(ARRAY(i4[13], a142080data[13])), +(i24782[13], 1), i24804[13]) which results in the following constraint:

    (77)    (i25648[12]=i25648[13]∧i4[12]=i4[13]∧a142080data[12]=a142080data[13]∧i24804[12]=i24804[13]∧&&(&&(&&(&&(>(i25648[12], 0), >(i24782[12], 0)), <(i24782[12], i4[12])), >(i24804[12], 0)), >(+(i24782[12], 1), 0))=TRUE∧i24782[12]=i24782[13] ⇒ LOAD49897ARR4(java.lang.Object(ARRAY(i4[12], a142080data[12])), i24782[12], i24804[12], java.lang.Object(java.lang.String(i25648[12])))≥NonInfC∧LOAD49897ARR4(java.lang.Object(ARRAY(i4[12], a142080data[12])), i24782[12], i24804[12], java.lang.Object(java.lang.String(i25648[12])))≥COND_LOAD49897ARR4(&&(&&(&&(&&(>(i25648[12], 0), >(i24782[12], 0)), <(i24782[12], i4[12])), >(i24804[12], 0)), >(+(i24782[12], 1), 0)), java.lang.Object(ARRAY(i4[12], a142080data[12])), i24782[12], i24804[12], java.lang.Object(java.lang.String(i25648[12])))∧(UIncreasing(COND_LOAD49897ARR4(&&(&&(&&(&&(>(i25648[12], 0), >(i24782[12], 0)), <(i24782[12], i4[12])), >(i24804[12], 0)), >(+(i24782[12], 1), 0)), java.lang.Object(ARRAY(i4[12], a142080data[12])), i24782[12], i24804[12], java.lang.Object(java.lang.String(i25648[12])))), ≥))



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

    (78)    (>(+(i24782[12], 1), 0)=TRUE∧>(i24804[12], 0)=TRUE∧<(i24782[12], i4[12])=TRUE∧>(i25648[12], 0)=TRUE∧>(i24782[12], 0)=TRUE ⇒ LOAD49897ARR4(java.lang.Object(ARRAY(i4[12], a142080data[12])), i24782[12], i24804[12], java.lang.Object(java.lang.String(i25648[12])))≥NonInfC∧LOAD49897ARR4(java.lang.Object(ARRAY(i4[12], a142080data[12])), i24782[12], i24804[12], java.lang.Object(java.lang.String(i25648[12])))≥COND_LOAD49897ARR4(&&(&&(&&(&&(>(i25648[12], 0), >(i24782[12], 0)), <(i24782[12], i4[12])), >(i24804[12], 0)), >(+(i24782[12], 1), 0)), java.lang.Object(ARRAY(i4[12], a142080data[12])), i24782[12], i24804[12], java.lang.Object(java.lang.String(i25648[12])))∧(UIncreasing(COND_LOAD49897ARR4(&&(&&(&&(&&(>(i25648[12], 0), >(i24782[12], 0)), <(i24782[12], i4[12])), >(i24804[12], 0)), >(+(i24782[12], 1), 0)), java.lang.Object(ARRAY(i4[12], a142080data[12])), i24782[12], i24804[12], java.lang.Object(java.lang.String(i25648[12])))), ≥))



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

    (79)    (i24782[12] ≥ 0∧i24804[12] + [-1] ≥ 0∧i4[12] + [-1] + [-1]i24782[12] ≥ 0∧i25648[12] + [-1] ≥ 0∧i24782[12] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD49897ARR4(&&(&&(&&(&&(>(i25648[12], 0), >(i24782[12], 0)), <(i24782[12], i4[12])), >(i24804[12], 0)), >(+(i24782[12], 1), 0)), java.lang.Object(ARRAY(i4[12], a142080data[12])), i24782[12], i24804[12], java.lang.Object(java.lang.String(i25648[12])))), ≥)∧[(-1)bni_56 + (-1)Bound*bni_56] + [bni_56]i24804[12] ≥ 0∧[1 + (-1)bso_57] ≥ 0)



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

    (80)    (i24782[12] ≥ 0∧i24804[12] + [-1] ≥ 0∧i4[12] + [-1] + [-1]i24782[12] ≥ 0∧i25648[12] + [-1] ≥ 0∧i24782[12] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD49897ARR4(&&(&&(&&(&&(>(i25648[12], 0), >(i24782[12], 0)), <(i24782[12], i4[12])), >(i24804[12], 0)), >(+(i24782[12], 1), 0)), java.lang.Object(ARRAY(i4[12], a142080data[12])), i24782[12], i24804[12], java.lang.Object(java.lang.String(i25648[12])))), ≥)∧[(-1)bni_56 + (-1)Bound*bni_56] + [bni_56]i24804[12] ≥ 0∧[1 + (-1)bso_57] ≥ 0)



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

    (81)    (i24782[12] ≥ 0∧i24804[12] + [-1] ≥ 0∧i4[12] + [-1] + [-1]i24782[12] ≥ 0∧i25648[12] + [-1] ≥ 0∧i24782[12] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD49897ARR4(&&(&&(&&(&&(>(i25648[12], 0), >(i24782[12], 0)), <(i24782[12], i4[12])), >(i24804[12], 0)), >(+(i24782[12], 1), 0)), java.lang.Object(ARRAY(i4[12], a142080data[12])), i24782[12], i24804[12], java.lang.Object(java.lang.String(i25648[12])))), ≥)∧[(-1)bni_56 + (-1)Bound*bni_56] + [bni_56]i24804[12] ≥ 0∧[1 + (-1)bso_57] ≥ 0)



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

    (82)    (i24782[12] ≥ 0∧i24804[12] + [-1] ≥ 0∧i4[12] + [-1] + [-1]i24782[12] ≥ 0∧i25648[12] + [-1] ≥ 0∧i24782[12] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD49897ARR4(&&(&&(&&(&&(>(i25648[12], 0), >(i24782[12], 0)), <(i24782[12], i4[12])), >(i24804[12], 0)), >(+(i24782[12], 1), 0)), java.lang.Object(ARRAY(i4[12], a142080data[12])), i24782[12], i24804[12], java.lang.Object(java.lang.String(i25648[12])))), ≥)∧0 = 0∧[(-1)bni_56 + (-1)Bound*bni_56] + [bni_56]i24804[12] ≥ 0∧0 = 0∧[1 + (-1)bso_57] ≥ 0)



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

    (83)    ([1] + i24782[12] ≥ 0∧i24804[12] + [-1] ≥ 0∧i4[12] + [-2] + [-1]i24782[12] ≥ 0∧i25648[12] + [-1] ≥ 0∧i24782[12] ≥ 0 ⇒ (UIncreasing(COND_LOAD49897ARR4(&&(&&(&&(&&(>(i25648[12], 0), >(i24782[12], 0)), <(i24782[12], i4[12])), >(i24804[12], 0)), >(+(i24782[12], 1), 0)), java.lang.Object(ARRAY(i4[12], a142080data[12])), i24782[12], i24804[12], java.lang.Object(java.lang.String(i25648[12])))), ≥)∧0 = 0∧[(-1)bni_56 + (-1)Bound*bni_56] + [bni_56]i24804[12] ≥ 0∧0 = 0∧[1 + (-1)bso_57] ≥ 0)



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

    (84)    ([1] + i24782[12] ≥ 0∧i24804[12] ≥ 0∧i4[12] + [-2] + [-1]i24782[12] ≥ 0∧i25648[12] + [-1] ≥ 0∧i24782[12] ≥ 0 ⇒ (UIncreasing(COND_LOAD49897ARR4(&&(&&(&&(&&(>(i25648[12], 0), >(i24782[12], 0)), <(i24782[12], i4[12])), >(i24804[12], 0)), >(+(i24782[12], 1), 0)), java.lang.Object(ARRAY(i4[12], a142080data[12])), i24782[12], i24804[12], java.lang.Object(java.lang.String(i25648[12])))), ≥)∧0 = 0∧[(-1)Bound*bni_56] + [bni_56]i24804[12] ≥ 0∧0 = 0∧[1 + (-1)bso_57] ≥ 0)



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

    (85)    ([1] + i24782[12] ≥ 0∧i24804[12] ≥ 0∧i4[12] ≥ 0∧i25648[12] + [-1] ≥ 0∧i24782[12] ≥ 0 ⇒ (UIncreasing(COND_LOAD49897ARR4(&&(&&(&&(&&(>(i25648[12], 0), >(i24782[12], 0)), <(i24782[12], i4[12])), >(i24804[12], 0)), >(+(i24782[12], 1), 0)), java.lang.Object(ARRAY(i4[12], a142080data[12])), i24782[12], i24804[12], java.lang.Object(java.lang.String(i25648[12])))), ≥)∧0 = 0∧[(-1)Bound*bni_56] + [bni_56]i24804[12] ≥ 0∧0 = 0∧[1 + (-1)bso_57] ≥ 0)



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

    (86)    ([1] + i24782[12] ≥ 0∧i24804[12] ≥ 0∧i4[12] ≥ 0∧i25648[12] ≥ 0∧i24782[12] ≥ 0 ⇒ (UIncreasing(COND_LOAD49897ARR4(&&(&&(&&(&&(>(i25648[12], 0), >(i24782[12], 0)), <(i24782[12], i4[12])), >(i24804[12], 0)), >(+(i24782[12], 1), 0)), java.lang.Object(ARRAY(i4[12], a142080data[12])), i24782[12], i24804[12], java.lang.Object(java.lang.String(i25648[12])))), ≥)∧0 = 0∧[(-1)Bound*bni_56] + [bni_56]i24804[12] ≥ 0∧0 = 0∧[1 + (-1)bso_57] ≥ 0)







For Pair COND_LOAD49897ARR4(TRUE, java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25648))) → INC53049(java.lang.Object(ARRAY(i4, a142080data)), +(i24782, 1), i24804) the following chains were created:
  • We consider the chain COND_LOAD49897ARR4(TRUE, java.lang.Object(ARRAY(i4[13], a142080data[13])), i24782[13], i24804[13], java.lang.Object(java.lang.String(i25648[13]))) → INC53049(java.lang.Object(ARRAY(i4[13], a142080data[13])), +(i24782[13], 1), i24804[13]) which results in the following constraint:

    (87)    (COND_LOAD49897ARR4(TRUE, java.lang.Object(ARRAY(i4[13], a142080data[13])), i24782[13], i24804[13], java.lang.Object(java.lang.String(i25648[13])))≥NonInfC∧COND_LOAD49897ARR4(TRUE, java.lang.Object(ARRAY(i4[13], a142080data[13])), i24782[13], i24804[13], java.lang.Object(java.lang.String(i25648[13])))≥INC53049(java.lang.Object(ARRAY(i4[13], a142080data[13])), +(i24782[13], 1), i24804[13])∧(UIncreasing(INC53049(java.lang.Object(ARRAY(i4[13], a142080data[13])), +(i24782[13], 1), i24804[13])), ≥))



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

    (88)    ((UIncreasing(INC53049(java.lang.Object(ARRAY(i4[13], a142080data[13])), +(i24782[13], 1), i24804[13])), ≥)∧[(-1)bso_59] ≥ 0)



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

    (89)    ((UIncreasing(INC53049(java.lang.Object(ARRAY(i4[13], a142080data[13])), +(i24782[13], 1), i24804[13])), ≥)∧[(-1)bso_59] ≥ 0)



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

    (90)    ((UIncreasing(INC53049(java.lang.Object(ARRAY(i4[13], a142080data[13])), +(i24782[13], 1), i24804[13])), ≥)∧[(-1)bso_59] ≥ 0)



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

    (91)    ((UIncreasing(INC53049(java.lang.Object(ARRAY(i4[13], a142080data[13])), +(i24782[13], 1), i24804[13])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_59] ≥ 0)







For Pair LOAD49897(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804) → LOAD49897ARR5(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25649))) the following chains were created:
  • We consider the chain LOAD49897(java.lang.Object(ARRAY(i4[14], a142080data[14])), i24782[14], i24804[14]) → LOAD49897ARR5(java.lang.Object(ARRAY(i4[14], a142080data[14])), i24782[14], i24804[14], java.lang.Object(java.lang.String(i25649[14]))) which results in the following constraint:

    (92)    (LOAD49897(java.lang.Object(ARRAY(i4[14], a142080data[14])), i24782[14], i24804[14])≥NonInfC∧LOAD49897(java.lang.Object(ARRAY(i4[14], a142080data[14])), i24782[14], i24804[14])≥LOAD49897ARR5(java.lang.Object(ARRAY(i4[14], a142080data[14])), i24782[14], i24804[14], java.lang.Object(java.lang.String(i25649[14])))∧(UIncreasing(LOAD49897ARR5(java.lang.Object(ARRAY(i4[14], a142080data[14])), i24782[14], i24804[14], java.lang.Object(java.lang.String(i25649[14])))), ≥))



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

    (93)    ((UIncreasing(LOAD49897ARR5(java.lang.Object(ARRAY(i4[14], a142080data[14])), i24782[14], i24804[14], java.lang.Object(java.lang.String(i25649[14])))), ≥)∧[1 + (-1)bso_61] ≥ 0)



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

    (94)    ((UIncreasing(LOAD49897ARR5(java.lang.Object(ARRAY(i4[14], a142080data[14])), i24782[14], i24804[14], java.lang.Object(java.lang.String(i25649[14])))), ≥)∧[1 + (-1)bso_61] ≥ 0)



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

    (95)    ((UIncreasing(LOAD49897ARR5(java.lang.Object(ARRAY(i4[14], a142080data[14])), i24782[14], i24804[14], java.lang.Object(java.lang.String(i25649[14])))), ≥)∧[1 + (-1)bso_61] ≥ 0)



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

    (96)    ((UIncreasing(LOAD49897ARR5(java.lang.Object(ARRAY(i4[14], a142080data[14])), i24782[14], i24804[14], java.lang.Object(java.lang.String(i25649[14])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_61] ≥ 0)







For Pair LOAD49897ARR5(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25649))) → COND_LOAD49897ARR5(&&(&&(&&(&&(<=(i25649, 0), >(i24782, 0)), <(i24782, i4)), >(i24804, 0)), >(+(i24782, 1), 0)), java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25649))) the following chains were created:
  • We consider the chain LOAD49897ARR5(java.lang.Object(ARRAY(i4[15], a142080data[15])), i24782[15], i24804[15], java.lang.Object(java.lang.String(i25649[15]))) → COND_LOAD49897ARR5(&&(&&(&&(&&(<=(i25649[15], 0), >(i24782[15], 0)), <(i24782[15], i4[15])), >(i24804[15], 0)), >(+(i24782[15], 1), 0)), java.lang.Object(ARRAY(i4[15], a142080data[15])), i24782[15], i24804[15], java.lang.Object(java.lang.String(i25649[15]))), COND_LOAD49897ARR5(TRUE, java.lang.Object(ARRAY(i4[16], a142080data[16])), i24782[16], i24804[16], java.lang.Object(java.lang.String(i25649[16]))) → INC53049(java.lang.Object(ARRAY(i4[16], a142080data[16])), +(i24782[16], 1), i24804[16]) which results in the following constraint:

    (97)    (i4[15]=i4[16]∧a142080data[15]=a142080data[16]∧&&(&&(&&(&&(<=(i25649[15], 0), >(i24782[15], 0)), <(i24782[15], i4[15])), >(i24804[15], 0)), >(+(i24782[15], 1), 0))=TRUE∧i25649[15]=i25649[16]∧i24804[15]=i24804[16]∧i24782[15]=i24782[16] ⇒ LOAD49897ARR5(java.lang.Object(ARRAY(i4[15], a142080data[15])), i24782[15], i24804[15], java.lang.Object(java.lang.String(i25649[15])))≥NonInfC∧LOAD49897ARR5(java.lang.Object(ARRAY(i4[15], a142080data[15])), i24782[15], i24804[15], java.lang.Object(java.lang.String(i25649[15])))≥COND_LOAD49897ARR5(&&(&&(&&(&&(<=(i25649[15], 0), >(i24782[15], 0)), <(i24782[15], i4[15])), >(i24804[15], 0)), >(+(i24782[15], 1), 0)), java.lang.Object(ARRAY(i4[15], a142080data[15])), i24782[15], i24804[15], java.lang.Object(java.lang.String(i25649[15])))∧(UIncreasing(COND_LOAD49897ARR5(&&(&&(&&(&&(<=(i25649[15], 0), >(i24782[15], 0)), <(i24782[15], i4[15])), >(i24804[15], 0)), >(+(i24782[15], 1), 0)), java.lang.Object(ARRAY(i4[15], a142080data[15])), i24782[15], i24804[15], java.lang.Object(java.lang.String(i25649[15])))), ≥))



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

    (98)    (>(+(i24782[15], 1), 0)=TRUE∧>(i24804[15], 0)=TRUE∧<(i24782[15], i4[15])=TRUE∧<=(i25649[15], 0)=TRUE∧>(i24782[15], 0)=TRUE ⇒ LOAD49897ARR5(java.lang.Object(ARRAY(i4[15], a142080data[15])), i24782[15], i24804[15], java.lang.Object(java.lang.String(i25649[15])))≥NonInfC∧LOAD49897ARR5(java.lang.Object(ARRAY(i4[15], a142080data[15])), i24782[15], i24804[15], java.lang.Object(java.lang.String(i25649[15])))≥COND_LOAD49897ARR5(&&(&&(&&(&&(<=(i25649[15], 0), >(i24782[15], 0)), <(i24782[15], i4[15])), >(i24804[15], 0)), >(+(i24782[15], 1), 0)), java.lang.Object(ARRAY(i4[15], a142080data[15])), i24782[15], i24804[15], java.lang.Object(java.lang.String(i25649[15])))∧(UIncreasing(COND_LOAD49897ARR5(&&(&&(&&(&&(<=(i25649[15], 0), >(i24782[15], 0)), <(i24782[15], i4[15])), >(i24804[15], 0)), >(+(i24782[15], 1), 0)), java.lang.Object(ARRAY(i4[15], a142080data[15])), i24782[15], i24804[15], java.lang.Object(java.lang.String(i25649[15])))), ≥))



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

    (99)    (i24782[15] ≥ 0∧i24804[15] + [-1] ≥ 0∧i4[15] + [-1] + [-1]i24782[15] ≥ 0∧[-1]i25649[15] ≥ 0∧i24782[15] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD49897ARR5(&&(&&(&&(&&(<=(i25649[15], 0), >(i24782[15], 0)), <(i24782[15], i4[15])), >(i24804[15], 0)), >(+(i24782[15], 1), 0)), java.lang.Object(ARRAY(i4[15], a142080data[15])), i24782[15], i24804[15], java.lang.Object(java.lang.String(i25649[15])))), ≥)∧[(-2)bni_62 + (-1)Bound*bni_62] + [bni_62]i24804[15] ≥ 0∧[(-1)bso_63] ≥ 0)



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

    (100)    (i24782[15] ≥ 0∧i24804[15] + [-1] ≥ 0∧i4[15] + [-1] + [-1]i24782[15] ≥ 0∧[-1]i25649[15] ≥ 0∧i24782[15] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD49897ARR5(&&(&&(&&(&&(<=(i25649[15], 0), >(i24782[15], 0)), <(i24782[15], i4[15])), >(i24804[15], 0)), >(+(i24782[15], 1), 0)), java.lang.Object(ARRAY(i4[15], a142080data[15])), i24782[15], i24804[15], java.lang.Object(java.lang.String(i25649[15])))), ≥)∧[(-2)bni_62 + (-1)Bound*bni_62] + [bni_62]i24804[15] ≥ 0∧[(-1)bso_63] ≥ 0)



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

    (101)    (i24782[15] ≥ 0∧i24804[15] + [-1] ≥ 0∧i4[15] + [-1] + [-1]i24782[15] ≥ 0∧[-1]i25649[15] ≥ 0∧i24782[15] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD49897ARR5(&&(&&(&&(&&(<=(i25649[15], 0), >(i24782[15], 0)), <(i24782[15], i4[15])), >(i24804[15], 0)), >(+(i24782[15], 1), 0)), java.lang.Object(ARRAY(i4[15], a142080data[15])), i24782[15], i24804[15], java.lang.Object(java.lang.String(i25649[15])))), ≥)∧[(-2)bni_62 + (-1)Bound*bni_62] + [bni_62]i24804[15] ≥ 0∧[(-1)bso_63] ≥ 0)



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

    (102)    (i24782[15] ≥ 0∧i24804[15] + [-1] ≥ 0∧i4[15] + [-1] + [-1]i24782[15] ≥ 0∧[-1]i25649[15] ≥ 0∧i24782[15] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD49897ARR5(&&(&&(&&(&&(<=(i25649[15], 0), >(i24782[15], 0)), <(i24782[15], i4[15])), >(i24804[15], 0)), >(+(i24782[15], 1), 0)), java.lang.Object(ARRAY(i4[15], a142080data[15])), i24782[15], i24804[15], java.lang.Object(java.lang.String(i25649[15])))), ≥)∧0 = 0∧[(-2)bni_62 + (-1)Bound*bni_62] + [bni_62]i24804[15] ≥ 0∧0 = 0∧[(-1)bso_63] ≥ 0)



    We simplified constraint (102) using rule (IDP_SMT_SPLIT) which results in the following new constraint:

    (103)    ([1] + i24782[15] ≥ 0∧i24804[15] + [-1] ≥ 0∧i4[15] + [-2] + [-1]i24782[15] ≥ 0∧[-1]i25649[15] ≥ 0∧i24782[15] ≥ 0 ⇒ (UIncreasing(COND_LOAD49897ARR5(&&(&&(&&(&&(<=(i25649[15], 0), >(i24782[15], 0)), <(i24782[15], i4[15])), >(i24804[15], 0)), >(+(i24782[15], 1), 0)), java.lang.Object(ARRAY(i4[15], a142080data[15])), i24782[15], i24804[15], java.lang.Object(java.lang.String(i25649[15])))), ≥)∧0 = 0∧[(-2)bni_62 + (-1)Bound*bni_62] + [bni_62]i24804[15] ≥ 0∧0 = 0∧[(-1)bso_63] ≥ 0)



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

    (104)    ([1] + i24782[15] ≥ 0∧i24804[15] ≥ 0∧i4[15] + [-2] + [-1]i24782[15] ≥ 0∧[-1]i25649[15] ≥ 0∧i24782[15] ≥ 0 ⇒ (UIncreasing(COND_LOAD49897ARR5(&&(&&(&&(&&(<=(i25649[15], 0), >(i24782[15], 0)), <(i24782[15], i4[15])), >(i24804[15], 0)), >(+(i24782[15], 1), 0)), java.lang.Object(ARRAY(i4[15], a142080data[15])), i24782[15], i24804[15], java.lang.Object(java.lang.String(i25649[15])))), ≥)∧0 = 0∧[(-1)bni_62 + (-1)Bound*bni_62] + [bni_62]i24804[15] ≥ 0∧0 = 0∧[(-1)bso_63] ≥ 0)



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

    (105)    ([1] + i24782[15] ≥ 0∧i24804[15] ≥ 0∧i4[15] ≥ 0∧[-1]i25649[15] ≥ 0∧i24782[15] ≥ 0 ⇒ (UIncreasing(COND_LOAD49897ARR5(&&(&&(&&(&&(<=(i25649[15], 0), >(i24782[15], 0)), <(i24782[15], i4[15])), >(i24804[15], 0)), >(+(i24782[15], 1), 0)), java.lang.Object(ARRAY(i4[15], a142080data[15])), i24782[15], i24804[15], java.lang.Object(java.lang.String(i25649[15])))), ≥)∧0 = 0∧[(-1)bni_62 + (-1)Bound*bni_62] + [bni_62]i24804[15] ≥ 0∧0 = 0∧[(-1)bso_63] ≥ 0)



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

    (106)    ([1] + i24782[15] ≥ 0∧i24804[15] ≥ 0∧i4[15] ≥ 0∧i25649[15] ≥ 0∧i24782[15] ≥ 0 ⇒ (UIncreasing(COND_LOAD49897ARR5(&&(&&(&&(&&(<=(i25649[15], 0), >(i24782[15], 0)), <(i24782[15], i4[15])), >(i24804[15], 0)), >(+(i24782[15], 1), 0)), java.lang.Object(ARRAY(i4[15], a142080data[15])), i24782[15], i24804[15], java.lang.Object(java.lang.String(i25649[15])))), ≥)∧0 = 0∧[(-1)bni_62 + (-1)Bound*bni_62] + [bni_62]i24804[15] ≥ 0∧0 = 0∧[(-1)bso_63] ≥ 0)







For Pair COND_LOAD49897ARR5(TRUE, java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25649))) → INC53049(java.lang.Object(ARRAY(i4, a142080data)), +(i24782, 1), i24804) the following chains were created:
  • We consider the chain COND_LOAD49897ARR5(TRUE, java.lang.Object(ARRAY(i4[16], a142080data[16])), i24782[16], i24804[16], java.lang.Object(java.lang.String(i25649[16]))) → INC53049(java.lang.Object(ARRAY(i4[16], a142080data[16])), +(i24782[16], 1), i24804[16]) which results in the following constraint:

    (107)    (COND_LOAD49897ARR5(TRUE, java.lang.Object(ARRAY(i4[16], a142080data[16])), i24782[16], i24804[16], java.lang.Object(java.lang.String(i25649[16])))≥NonInfC∧COND_LOAD49897ARR5(TRUE, java.lang.Object(ARRAY(i4[16], a142080data[16])), i24782[16], i24804[16], java.lang.Object(java.lang.String(i25649[16])))≥INC53049(java.lang.Object(ARRAY(i4[16], a142080data[16])), +(i24782[16], 1), i24804[16])∧(UIncreasing(INC53049(java.lang.Object(ARRAY(i4[16], a142080data[16])), +(i24782[16], 1), i24804[16])), ≥))



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

    (108)    ((UIncreasing(INC53049(java.lang.Object(ARRAY(i4[16], a142080data[16])), +(i24782[16], 1), i24804[16])), ≥)∧[(-1)bso_65] ≥ 0)



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

    (109)    ((UIncreasing(INC53049(java.lang.Object(ARRAY(i4[16], a142080data[16])), +(i24782[16], 1), i24804[16])), ≥)∧[(-1)bso_65] ≥ 0)



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

    (110)    ((UIncreasing(INC53049(java.lang.Object(ARRAY(i4[16], a142080data[16])), +(i24782[16], 1), i24804[16])), ≥)∧[(-1)bso_65] ≥ 0)



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

    (111)    ((UIncreasing(INC53049(java.lang.Object(ARRAY(i4[16], a142080data[16])), +(i24782[16], 1), i24804[16])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_65] ≥ 0)







For Pair LOAD49897(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804) → LOAD49897ARR8(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25649))) the following chains were created:
  • We consider the chain LOAD49897(java.lang.Object(ARRAY(i4[17], a142080data[17])), i24782[17], i24804[17]) → LOAD49897ARR8(java.lang.Object(ARRAY(i4[17], a142080data[17])), i24782[17], i24804[17], java.lang.Object(java.lang.String(i25649[17]))) which results in the following constraint:

    (112)    (LOAD49897(java.lang.Object(ARRAY(i4[17], a142080data[17])), i24782[17], i24804[17])≥NonInfC∧LOAD49897(java.lang.Object(ARRAY(i4[17], a142080data[17])), i24782[17], i24804[17])≥LOAD49897ARR8(java.lang.Object(ARRAY(i4[17], a142080data[17])), i24782[17], i24804[17], java.lang.Object(java.lang.String(i25649[17])))∧(UIncreasing(LOAD49897ARR8(java.lang.Object(ARRAY(i4[17], a142080data[17])), i24782[17], i24804[17], java.lang.Object(java.lang.String(i25649[17])))), ≥))



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

    (113)    ((UIncreasing(LOAD49897ARR8(java.lang.Object(ARRAY(i4[17], a142080data[17])), i24782[17], i24804[17], java.lang.Object(java.lang.String(i25649[17])))), ≥)∧[1 + (-1)bso_67] ≥ 0)



    We simplified constraint (113) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (114)    ((UIncreasing(LOAD49897ARR8(java.lang.Object(ARRAY(i4[17], a142080data[17])), i24782[17], i24804[17], java.lang.Object(java.lang.String(i25649[17])))), ≥)∧[1 + (-1)bso_67] ≥ 0)



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

    (115)    ((UIncreasing(LOAD49897ARR8(java.lang.Object(ARRAY(i4[17], a142080data[17])), i24782[17], i24804[17], java.lang.Object(java.lang.String(i25649[17])))), ≥)∧[1 + (-1)bso_67] ≥ 0)



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

    (116)    ((UIncreasing(LOAD49897ARR8(java.lang.Object(ARRAY(i4[17], a142080data[17])), i24782[17], i24804[17], java.lang.Object(java.lang.String(i25649[17])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_67] ≥ 0)







For Pair LOAD49897ARR8(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25649))) → COND_LOAD49897ARR8(&&(&&(&&(&&(<=(i25649, 0), >(i24782, 0)), <(i24782, i4)), >(i24804, 0)), >(+(i24782, 1), 0)), java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25649))) the following chains were created:
  • We consider the chain LOAD49897ARR8(java.lang.Object(ARRAY(i4[18], a142080data[18])), i24782[18], i24804[18], java.lang.Object(java.lang.String(i25649[18]))) → COND_LOAD49897ARR8(&&(&&(&&(&&(<=(i25649[18], 0), >(i24782[18], 0)), <(i24782[18], i4[18])), >(i24804[18], 0)), >(+(i24782[18], 1), 0)), java.lang.Object(ARRAY(i4[18], a142080data[18])), i24782[18], i24804[18], java.lang.Object(java.lang.String(i25649[18]))), COND_LOAD49897ARR8(TRUE, java.lang.Object(ARRAY(i4[19], a142080data[19])), i24782[19], i24804[19], java.lang.Object(java.lang.String(i25649[19]))) → JMP52935'(java.lang.Object(ARRAY(i4[19], a142080data[19])), +(i24782[19], 1), i24804[19]) which results in the following constraint:

    (117)    (&&(&&(&&(&&(<=(i25649[18], 0), >(i24782[18], 0)), <(i24782[18], i4[18])), >(i24804[18], 0)), >(+(i24782[18], 1), 0))=TRUE∧i24804[18]=i24804[19]∧i24782[18]=i24782[19]∧i4[18]=i4[19]∧a142080data[18]=a142080data[19]∧i25649[18]=i25649[19] ⇒ LOAD49897ARR8(java.lang.Object(ARRAY(i4[18], a142080data[18])), i24782[18], i24804[18], java.lang.Object(java.lang.String(i25649[18])))≥NonInfC∧LOAD49897ARR8(java.lang.Object(ARRAY(i4[18], a142080data[18])), i24782[18], i24804[18], java.lang.Object(java.lang.String(i25649[18])))≥COND_LOAD49897ARR8(&&(&&(&&(&&(<=(i25649[18], 0), >(i24782[18], 0)), <(i24782[18], i4[18])), >(i24804[18], 0)), >(+(i24782[18], 1), 0)), java.lang.Object(ARRAY(i4[18], a142080data[18])), i24782[18], i24804[18], java.lang.Object(java.lang.String(i25649[18])))∧(UIncreasing(COND_LOAD49897ARR8(&&(&&(&&(&&(<=(i25649[18], 0), >(i24782[18], 0)), <(i24782[18], i4[18])), >(i24804[18], 0)), >(+(i24782[18], 1), 0)), java.lang.Object(ARRAY(i4[18], a142080data[18])), i24782[18], i24804[18], java.lang.Object(java.lang.String(i25649[18])))), ≥))



    We simplified constraint (117) using rules (IV), (IDP_BOOLEAN) which results in the following new constraint:

    (118)    (>(+(i24782[18], 1), 0)=TRUE∧>(i24804[18], 0)=TRUE∧<(i24782[18], i4[18])=TRUE∧<=(i25649[18], 0)=TRUE∧>(i24782[18], 0)=TRUE ⇒ LOAD49897ARR8(java.lang.Object(ARRAY(i4[18], a142080data[18])), i24782[18], i24804[18], java.lang.Object(java.lang.String(i25649[18])))≥NonInfC∧LOAD49897ARR8(java.lang.Object(ARRAY(i4[18], a142080data[18])), i24782[18], i24804[18], java.lang.Object(java.lang.String(i25649[18])))≥COND_LOAD49897ARR8(&&(&&(&&(&&(<=(i25649[18], 0), >(i24782[18], 0)), <(i24782[18], i4[18])), >(i24804[18], 0)), >(+(i24782[18], 1), 0)), java.lang.Object(ARRAY(i4[18], a142080data[18])), i24782[18], i24804[18], java.lang.Object(java.lang.String(i25649[18])))∧(UIncreasing(COND_LOAD49897ARR8(&&(&&(&&(&&(<=(i25649[18], 0), >(i24782[18], 0)), <(i24782[18], i4[18])), >(i24804[18], 0)), >(+(i24782[18], 1), 0)), java.lang.Object(ARRAY(i4[18], a142080data[18])), i24782[18], i24804[18], java.lang.Object(java.lang.String(i25649[18])))), ≥))



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

    (119)    (i24782[18] ≥ 0∧i24804[18] + [-1] ≥ 0∧i4[18] + [-1] + [-1]i24782[18] ≥ 0∧[-1]i25649[18] ≥ 0∧i24782[18] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD49897ARR8(&&(&&(&&(&&(<=(i25649[18], 0), >(i24782[18], 0)), <(i24782[18], i4[18])), >(i24804[18], 0)), >(+(i24782[18], 1), 0)), java.lang.Object(ARRAY(i4[18], a142080data[18])), i24782[18], i24804[18], java.lang.Object(java.lang.String(i25649[18])))), ≥)∧[(-2)bni_68 + (-1)Bound*bni_68] + [bni_68]i24804[18] ≥ 0∧[(-1)bso_69] ≥ 0)



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

    (120)    (i24782[18] ≥ 0∧i24804[18] + [-1] ≥ 0∧i4[18] + [-1] + [-1]i24782[18] ≥ 0∧[-1]i25649[18] ≥ 0∧i24782[18] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD49897ARR8(&&(&&(&&(&&(<=(i25649[18], 0), >(i24782[18], 0)), <(i24782[18], i4[18])), >(i24804[18], 0)), >(+(i24782[18], 1), 0)), java.lang.Object(ARRAY(i4[18], a142080data[18])), i24782[18], i24804[18], java.lang.Object(java.lang.String(i25649[18])))), ≥)∧[(-2)bni_68 + (-1)Bound*bni_68] + [bni_68]i24804[18] ≥ 0∧[(-1)bso_69] ≥ 0)



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

    (121)    (i24782[18] ≥ 0∧i24804[18] + [-1] ≥ 0∧i4[18] + [-1] + [-1]i24782[18] ≥ 0∧[-1]i25649[18] ≥ 0∧i24782[18] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD49897ARR8(&&(&&(&&(&&(<=(i25649[18], 0), >(i24782[18], 0)), <(i24782[18], i4[18])), >(i24804[18], 0)), >(+(i24782[18], 1), 0)), java.lang.Object(ARRAY(i4[18], a142080data[18])), i24782[18], i24804[18], java.lang.Object(java.lang.String(i25649[18])))), ≥)∧[(-2)bni_68 + (-1)Bound*bni_68] + [bni_68]i24804[18] ≥ 0∧[(-1)bso_69] ≥ 0)



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

    (122)    (i24782[18] ≥ 0∧i24804[18] + [-1] ≥ 0∧i4[18] + [-1] + [-1]i24782[18] ≥ 0∧[-1]i25649[18] ≥ 0∧i24782[18] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD49897ARR8(&&(&&(&&(&&(<=(i25649[18], 0), >(i24782[18], 0)), <(i24782[18], i4[18])), >(i24804[18], 0)), >(+(i24782[18], 1), 0)), java.lang.Object(ARRAY(i4[18], a142080data[18])), i24782[18], i24804[18], java.lang.Object(java.lang.String(i25649[18])))), ≥)∧0 = 0∧[(-2)bni_68 + (-1)Bound*bni_68] + [bni_68]i24804[18] ≥ 0∧0 = 0∧[(-1)bso_69] ≥ 0)



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

    (123)    ([1] + i24782[18] ≥ 0∧i24804[18] + [-1] ≥ 0∧i4[18] + [-2] + [-1]i24782[18] ≥ 0∧[-1]i25649[18] ≥ 0∧i24782[18] ≥ 0 ⇒ (UIncreasing(COND_LOAD49897ARR8(&&(&&(&&(&&(<=(i25649[18], 0), >(i24782[18], 0)), <(i24782[18], i4[18])), >(i24804[18], 0)), >(+(i24782[18], 1), 0)), java.lang.Object(ARRAY(i4[18], a142080data[18])), i24782[18], i24804[18], java.lang.Object(java.lang.String(i25649[18])))), ≥)∧0 = 0∧[(-2)bni_68 + (-1)Bound*bni_68] + [bni_68]i24804[18] ≥ 0∧0 = 0∧[(-1)bso_69] ≥ 0)



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

    (124)    ([1] + i24782[18] ≥ 0∧i24804[18] ≥ 0∧i4[18] + [-2] + [-1]i24782[18] ≥ 0∧[-1]i25649[18] ≥ 0∧i24782[18] ≥ 0 ⇒ (UIncreasing(COND_LOAD49897ARR8(&&(&&(&&(&&(<=(i25649[18], 0), >(i24782[18], 0)), <(i24782[18], i4[18])), >(i24804[18], 0)), >(+(i24782[18], 1), 0)), java.lang.Object(ARRAY(i4[18], a142080data[18])), i24782[18], i24804[18], java.lang.Object(java.lang.String(i25649[18])))), ≥)∧0 = 0∧[(-1)bni_68 + (-1)Bound*bni_68] + [bni_68]i24804[18] ≥ 0∧0 = 0∧[(-1)bso_69] ≥ 0)



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

    (125)    ([1] + i24782[18] ≥ 0∧i24804[18] ≥ 0∧i4[18] ≥ 0∧[-1]i25649[18] ≥ 0∧i24782[18] ≥ 0 ⇒ (UIncreasing(COND_LOAD49897ARR8(&&(&&(&&(&&(<=(i25649[18], 0), >(i24782[18], 0)), <(i24782[18], i4[18])), >(i24804[18], 0)), >(+(i24782[18], 1), 0)), java.lang.Object(ARRAY(i4[18], a142080data[18])), i24782[18], i24804[18], java.lang.Object(java.lang.String(i25649[18])))), ≥)∧0 = 0∧[(-1)bni_68 + (-1)Bound*bni_68] + [bni_68]i24804[18] ≥ 0∧0 = 0∧[(-1)bso_69] ≥ 0)



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

    (126)    ([1] + i24782[18] ≥ 0∧i24804[18] ≥ 0∧i4[18] ≥ 0∧i25649[18] ≥ 0∧i24782[18] ≥ 0 ⇒ (UIncreasing(COND_LOAD49897ARR8(&&(&&(&&(&&(<=(i25649[18], 0), >(i24782[18], 0)), <(i24782[18], i4[18])), >(i24804[18], 0)), >(+(i24782[18], 1), 0)), java.lang.Object(ARRAY(i4[18], a142080data[18])), i24782[18], i24804[18], java.lang.Object(java.lang.String(i25649[18])))), ≥)∧0 = 0∧[(-1)bni_68 + (-1)Bound*bni_68] + [bni_68]i24804[18] ≥ 0∧0 = 0∧[(-1)bso_69] ≥ 0)







For Pair COND_LOAD49897ARR8(TRUE, java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25649))) → JMP52935'(java.lang.Object(ARRAY(i4, a142080data)), +(i24782, 1), i24804) the following chains were created:
  • We consider the chain COND_LOAD49897ARR8(TRUE, java.lang.Object(ARRAY(i4[19], a142080data[19])), i24782[19], i24804[19], java.lang.Object(java.lang.String(i25649[19]))) → JMP52935'(java.lang.Object(ARRAY(i4[19], a142080data[19])), +(i24782[19], 1), i24804[19]) which results in the following constraint:

    (127)    (COND_LOAD49897ARR8(TRUE, java.lang.Object(ARRAY(i4[19], a142080data[19])), i24782[19], i24804[19], java.lang.Object(java.lang.String(i25649[19])))≥NonInfC∧COND_LOAD49897ARR8(TRUE, java.lang.Object(ARRAY(i4[19], a142080data[19])), i24782[19], i24804[19], java.lang.Object(java.lang.String(i25649[19])))≥JMP52935'(java.lang.Object(ARRAY(i4[19], a142080data[19])), +(i24782[19], 1), i24804[19])∧(UIncreasing(JMP52935'(java.lang.Object(ARRAY(i4[19], a142080data[19])), +(i24782[19], 1), i24804[19])), ≥))



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

    (128)    ((UIncreasing(JMP52935'(java.lang.Object(ARRAY(i4[19], a142080data[19])), +(i24782[19], 1), i24804[19])), ≥)∧[(-1)bso_71] ≥ 0)



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

    (129)    ((UIncreasing(JMP52935'(java.lang.Object(ARRAY(i4[19], a142080data[19])), +(i24782[19], 1), i24804[19])), ≥)∧[(-1)bso_71] ≥ 0)



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

    (130)    ((UIncreasing(JMP52935'(java.lang.Object(ARRAY(i4[19], a142080data[19])), +(i24782[19], 1), i24804[19])), ≥)∧[(-1)bso_71] ≥ 0)



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

    (131)    ((UIncreasing(JMP52935'(java.lang.Object(ARRAY(i4[19], a142080data[19])), +(i24782[19], 1), i24804[19])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_71] ≥ 0)







To summarize, we get the following constraints P≥ for the following pairs.
  • LOAD49897(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804) → LOAD49897ARR1(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25648)))
    • ((UIncreasing(LOAD49897ARR1(java.lang.Object(ARRAY(i4[0], a142080data[0])), i24782[0], i24804[0], java.lang.Object(java.lang.String(i25648[0])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_33] ≥ 0)

  • LOAD49897ARR1(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25648))) → COND_LOAD49897ARR1(&&(&&(&&(&&(>(i25648, 0), >(i24782, 0)), <(i24782, i4)), >(i24804, 0)), >(+(i24782, 1), 0)), java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25648)))
    • ([1] + i24782[1] ≥ 0∧i24804[1] ≥ 0∧i4[1] ≥ 0∧i25648[1] ≥ 0∧i24782[1] ≥ 0 ⇒ (UIncreasing(COND_LOAD49897ARR1(&&(&&(&&(&&(>(i25648[1], 0), >(i24782[1], 0)), <(i24782[1], i4[1])), >(i24804[1], 0)), >(+(i24782[1], 1), 0)), java.lang.Object(ARRAY(i4[1], a142080data[1])), i24782[1], i24804[1], java.lang.Object(java.lang.String(i25648[1])))), ≥)∧0 = 0∧[(-1)Bound*bni_34] + [bni_34]i24804[1] ≥ 0∧0 = 0∧[1 + (-1)bso_35] ≥ 0)

  • COND_LOAD49897ARR1(TRUE, java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25648))) → JMP52935'(java.lang.Object(ARRAY(i4, a142080data)), +(i24782, 1), i24804)
    • ((UIncreasing(JMP52935'(java.lang.Object(ARRAY(i4[2], a142080data[2])), +(i24782[2], 1), i24804[2])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_37] ≥ 0)

  • INC53049(java.lang.Object(ARRAY(i4, a142080data)), i25050, i24804) → LOAD49897(java.lang.Object(ARRAY(i4, a142080data)), i25050, +(i24804, -1))
    • ((UIncreasing(LOAD49897(java.lang.Object(ARRAY(i4[3], a142080data[3])), i25050[3], +(i24804[3], -1))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_39] ≥ 0)

  • LOAD49897(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804) → LOAD49897ARR2(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25649)))
    • ((UIncreasing(LOAD49897ARR2(java.lang.Object(ARRAY(i4[4], a142080data[4])), i24782[4], i24804[4], java.lang.Object(java.lang.String(i25649[4])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_41] ≥ 0)

  • LOAD49897ARR2(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25649))) → COND_LOAD49897ARR2(&&(&&(&&(&&(<=(i25649, 0), >(i24782, 0)), <(i24782, i4)), >(i24804, 0)), >(+(i24782, 1), 0)), java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25649)))
    • ([1] + i24782[5] ≥ 0∧i24804[5] ≥ 0∧i4[5] ≥ 0∧i25649[5] ≥ 0∧i24782[5] ≥ 0 ⇒ (UIncreasing(COND_LOAD49897ARR2(&&(&&(&&(&&(<=(i25649[5], 0), >(i24782[5], 0)), <(i24782[5], i4[5])), >(i24804[5], 0)), >(+(i24782[5], 1), 0)), java.lang.Object(ARRAY(i4[5], a142080data[5])), i24782[5], i24804[5], java.lang.Object(java.lang.String(i25649[5])))), ≥)∧0 = 0∧[(-1)bni_42 + (-1)Bound*bni_42] + [bni_42]i24804[5] ≥ 0∧0 = 0∧[(-1)bso_43] ≥ 0)

  • COND_LOAD49897ARR2(TRUE, java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25649))) → LOAD49897(java.lang.Object(ARRAY(i4, a142080data)), +(i24782, 1), +(i24804, -1))
    • ((UIncreasing(LOAD49897(java.lang.Object(ARRAY(i4[6], a142080data[6])), +(i24782[6], 1), +(i24804[6], -1))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_45] ≥ 0)

  • LOAD49897(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804) → LOAD49897ARR3(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25648)))
    • ((UIncreasing(LOAD49897ARR3(java.lang.Object(ARRAY(i4[7], a142080data[7])), i24782[7], i24804[7], java.lang.Object(java.lang.String(i25648[7])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_47] ≥ 0)

  • LOAD49897ARR3(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25648))) → COND_LOAD49897ARR3(&&(&&(&&(&&(>(i25648, 0), >(i24782, 0)), <(i24782, i4)), >(i24804, 0)), >(+(i24782, 1), 0)), java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25648)))
    • ([1] + i24782[8] ≥ 0∧i24804[8] ≥ 0∧i4[8] ≥ 0∧i25648[8] ≥ 0∧i24782[8] ≥ 0 ⇒ (UIncreasing(COND_LOAD49897ARR3(&&(&&(&&(&&(>(i25648[8], 0), >(i24782[8], 0)), <(i24782[8], i4[8])), >(i24804[8], 0)), >(+(i24782[8], 1), 0)), java.lang.Object(ARRAY(i4[8], a142080data[8])), i24782[8], i24804[8], java.lang.Object(java.lang.String(i25648[8])))), ≥)∧0 = 0∧[(-1)bni_48 + (-1)Bound*bni_48] + [bni_48]i24804[8] ≥ 0∧0 = 0∧[(-1)bso_49] ≥ 0)

  • COND_LOAD49897ARR3(TRUE, java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25648))) → LOAD49897(java.lang.Object(ARRAY(i4, a142080data)), +(i24782, 1), +(i24804, -1))
    • ((UIncreasing(LOAD49897(java.lang.Object(ARRAY(i4[9], a142080data[9])), +(i24782[9], 1), +(i24804[9], -1))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_51] ≥ 0)

  • JMP52935'(java.lang.Object(ARRAY(i4, a142080data)), i25050, i24804) → INC53049(java.lang.Object(ARRAY(i4, a142080data)), i25050, i24804)
    • ((UIncreasing(INC53049(java.lang.Object(ARRAY(i4[10], a142080data[10])), i25050[10], i24804[10])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_53] ≥ 0)

  • LOAD49897(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804) → LOAD49897ARR4(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25648)))
    • ((UIncreasing(LOAD49897ARR4(java.lang.Object(ARRAY(i4[11], a142080data[11])), i24782[11], i24804[11], java.lang.Object(java.lang.String(i25648[11])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_55] ≥ 0)

  • LOAD49897ARR4(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25648))) → COND_LOAD49897ARR4(&&(&&(&&(&&(>(i25648, 0), >(i24782, 0)), <(i24782, i4)), >(i24804, 0)), >(+(i24782, 1), 0)), java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25648)))
    • ([1] + i24782[12] ≥ 0∧i24804[12] ≥ 0∧i4[12] ≥ 0∧i25648[12] ≥ 0∧i24782[12] ≥ 0 ⇒ (UIncreasing(COND_LOAD49897ARR4(&&(&&(&&(&&(>(i25648[12], 0), >(i24782[12], 0)), <(i24782[12], i4[12])), >(i24804[12], 0)), >(+(i24782[12], 1), 0)), java.lang.Object(ARRAY(i4[12], a142080data[12])), i24782[12], i24804[12], java.lang.Object(java.lang.String(i25648[12])))), ≥)∧0 = 0∧[(-1)Bound*bni_56] + [bni_56]i24804[12] ≥ 0∧0 = 0∧[1 + (-1)bso_57] ≥ 0)

  • COND_LOAD49897ARR4(TRUE, java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25648))) → INC53049(java.lang.Object(ARRAY(i4, a142080data)), +(i24782, 1), i24804)
    • ((UIncreasing(INC53049(java.lang.Object(ARRAY(i4[13], a142080data[13])), +(i24782[13], 1), i24804[13])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_59] ≥ 0)

  • LOAD49897(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804) → LOAD49897ARR5(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25649)))
    • ((UIncreasing(LOAD49897ARR5(java.lang.Object(ARRAY(i4[14], a142080data[14])), i24782[14], i24804[14], java.lang.Object(java.lang.String(i25649[14])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_61] ≥ 0)

  • LOAD49897ARR5(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25649))) → COND_LOAD49897ARR5(&&(&&(&&(&&(<=(i25649, 0), >(i24782, 0)), <(i24782, i4)), >(i24804, 0)), >(+(i24782, 1), 0)), java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25649)))
    • ([1] + i24782[15] ≥ 0∧i24804[15] ≥ 0∧i4[15] ≥ 0∧i25649[15] ≥ 0∧i24782[15] ≥ 0 ⇒ (UIncreasing(COND_LOAD49897ARR5(&&(&&(&&(&&(<=(i25649[15], 0), >(i24782[15], 0)), <(i24782[15], i4[15])), >(i24804[15], 0)), >(+(i24782[15], 1), 0)), java.lang.Object(ARRAY(i4[15], a142080data[15])), i24782[15], i24804[15], java.lang.Object(java.lang.String(i25649[15])))), ≥)∧0 = 0∧[(-1)bni_62 + (-1)Bound*bni_62] + [bni_62]i24804[15] ≥ 0∧0 = 0∧[(-1)bso_63] ≥ 0)

  • COND_LOAD49897ARR5(TRUE, java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25649))) → INC53049(java.lang.Object(ARRAY(i4, a142080data)), +(i24782, 1), i24804)
    • ((UIncreasing(INC53049(java.lang.Object(ARRAY(i4[16], a142080data[16])), +(i24782[16], 1), i24804[16])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_65] ≥ 0)

  • LOAD49897(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804) → LOAD49897ARR8(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25649)))
    • ((UIncreasing(LOAD49897ARR8(java.lang.Object(ARRAY(i4[17], a142080data[17])), i24782[17], i24804[17], java.lang.Object(java.lang.String(i25649[17])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_67] ≥ 0)

  • LOAD49897ARR8(java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25649))) → COND_LOAD49897ARR8(&&(&&(&&(&&(<=(i25649, 0), >(i24782, 0)), <(i24782, i4)), >(i24804, 0)), >(+(i24782, 1), 0)), java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25649)))
    • ([1] + i24782[18] ≥ 0∧i24804[18] ≥ 0∧i4[18] ≥ 0∧i25649[18] ≥ 0∧i24782[18] ≥ 0 ⇒ (UIncreasing(COND_LOAD49897ARR8(&&(&&(&&(&&(<=(i25649[18], 0), >(i24782[18], 0)), <(i24782[18], i4[18])), >(i24804[18], 0)), >(+(i24782[18], 1), 0)), java.lang.Object(ARRAY(i4[18], a142080data[18])), i24782[18], i24804[18], java.lang.Object(java.lang.String(i25649[18])))), ≥)∧0 = 0∧[(-1)bni_68 + (-1)Bound*bni_68] + [bni_68]i24804[18] ≥ 0∧0 = 0∧[(-1)bso_69] ≥ 0)

  • COND_LOAD49897ARR8(TRUE, java.lang.Object(ARRAY(i4, a142080data)), i24782, i24804, java.lang.Object(java.lang.String(i25649))) → JMP52935'(java.lang.Object(ARRAY(i4, a142080data)), +(i24782, 1), i24804)
    • ((UIncreasing(JMP52935'(java.lang.Object(ARRAY(i4[19], a142080data[19])), +(i24782[19], 1), i24804[19])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_71] ≥ 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(LOAD49897(x1, x2, x3)) = x3 + [-1]x1   
POL(java.lang.Object(x1)) = x1   
POL(ARRAY(x1, x2)) = [1]   
POL(LOAD49897ARR1(x1, x2, x3, x4)) = x3 + [-1]x1   
POL(java.lang.String(x1)) = x1   
POL(COND_LOAD49897ARR1(x1, x2, x3, x4, x5)) = [-1] + x4 + [-1]x2   
POL(&&(x1, x2)) = [-1]   
POL(>(x1, x2)) = [-1]   
POL(0) = 0   
POL(<(x1, x2)) = [-1]   
POL(+(x1, x2)) = x1 + x2   
POL(1) = [1]   
POL(JMP52935'(x1, x2, x3)) = [-1] + x3 + [-1]x1   
POL(INC53049(x1, x2, x3)) = [-1] + [-1]x1 + x3   
POL(-1) = [-1]   
POL(LOAD49897ARR2(x1, x2, x3, x4)) = [-1] + x3 + [-1]x1   
POL(COND_LOAD49897ARR2(x1, x2, x3, x4, x5)) = [-1] + x4 + [-1]x2   
POL(<=(x1, x2)) = [-1]   
POL(LOAD49897ARR3(x1, x2, x3, x4)) = [-1] + x3 + [-1]x1   
POL(COND_LOAD49897ARR3(x1, x2, x3, x4, x5)) = [-1] + x4 + [-1]x2   
POL(LOAD49897ARR4(x1, x2, x3, x4)) = x3 + [-1]x1   
POL(COND_LOAD49897ARR4(x1, x2, x3, x4, x5)) = [-1] + x4 + [-1]x2   
POL(LOAD49897ARR5(x1, x2, x3, x4)) = [-1] + x3 + [-1]x1   
POL(COND_LOAD49897ARR5(x1, x2, x3, x4, x5)) = [-1] + x4 + [-1]x2   
POL(LOAD49897ARR8(x1, x2, x3, x4)) = [-1] + x3 + [-1]x1   
POL(COND_LOAD49897ARR8(x1, x2, x3, x4, x5)) = [-1] + x4 + [-1]x2   

The following pairs are in P>:

LOAD49897ARR1(java.lang.Object(ARRAY(i4[1], a142080data[1])), i24782[1], i24804[1], java.lang.Object(java.lang.String(i25648[1]))) → COND_LOAD49897ARR1(&&(&&(&&(&&(>(i25648[1], 0), >(i24782[1], 0)), <(i24782[1], i4[1])), >(i24804[1], 0)), >(+(i24782[1], 1), 0)), java.lang.Object(ARRAY(i4[1], a142080data[1])), i24782[1], i24804[1], java.lang.Object(java.lang.String(i25648[1])))
LOAD49897(java.lang.Object(ARRAY(i4[4], a142080data[4])), i24782[4], i24804[4]) → LOAD49897ARR2(java.lang.Object(ARRAY(i4[4], a142080data[4])), i24782[4], i24804[4], java.lang.Object(java.lang.String(i25649[4])))
LOAD49897(java.lang.Object(ARRAY(i4[7], a142080data[7])), i24782[7], i24804[7]) → LOAD49897ARR3(java.lang.Object(ARRAY(i4[7], a142080data[7])), i24782[7], i24804[7], java.lang.Object(java.lang.String(i25648[7])))
LOAD49897ARR4(java.lang.Object(ARRAY(i4[12], a142080data[12])), i24782[12], i24804[12], java.lang.Object(java.lang.String(i25648[12]))) → COND_LOAD49897ARR4(&&(&&(&&(&&(>(i25648[12], 0), >(i24782[12], 0)), <(i24782[12], i4[12])), >(i24804[12], 0)), >(+(i24782[12], 1), 0)), java.lang.Object(ARRAY(i4[12], a142080data[12])), i24782[12], i24804[12], java.lang.Object(java.lang.String(i25648[12])))
LOAD49897(java.lang.Object(ARRAY(i4[14], a142080data[14])), i24782[14], i24804[14]) → LOAD49897ARR5(java.lang.Object(ARRAY(i4[14], a142080data[14])), i24782[14], i24804[14], java.lang.Object(java.lang.String(i25649[14])))
LOAD49897(java.lang.Object(ARRAY(i4[17], a142080data[17])), i24782[17], i24804[17]) → LOAD49897ARR8(java.lang.Object(ARRAY(i4[17], a142080data[17])), i24782[17], i24804[17], java.lang.Object(java.lang.String(i25649[17])))

The following pairs are in Pbound:

LOAD49897ARR1(java.lang.Object(ARRAY(i4[1], a142080data[1])), i24782[1], i24804[1], java.lang.Object(java.lang.String(i25648[1]))) → COND_LOAD49897ARR1(&&(&&(&&(&&(>(i25648[1], 0), >(i24782[1], 0)), <(i24782[1], i4[1])), >(i24804[1], 0)), >(+(i24782[1], 1), 0)), java.lang.Object(ARRAY(i4[1], a142080data[1])), i24782[1], i24804[1], java.lang.Object(java.lang.String(i25648[1])))
LOAD49897ARR2(java.lang.Object(ARRAY(i4[5], a142080data[5])), i24782[5], i24804[5], java.lang.Object(java.lang.String(i25649[5]))) → COND_LOAD49897ARR2(&&(&&(&&(&&(<=(i25649[5], 0), >(i24782[5], 0)), <(i24782[5], i4[5])), >(i24804[5], 0)), >(+(i24782[5], 1), 0)), java.lang.Object(ARRAY(i4[5], a142080data[5])), i24782[5], i24804[5], java.lang.Object(java.lang.String(i25649[5])))
LOAD49897ARR3(java.lang.Object(ARRAY(i4[8], a142080data[8])), i24782[8], i24804[8], java.lang.Object(java.lang.String(i25648[8]))) → COND_LOAD49897ARR3(&&(&&(&&(&&(>(i25648[8], 0), >(i24782[8], 0)), <(i24782[8], i4[8])), >(i24804[8], 0)), >(+(i24782[8], 1), 0)), java.lang.Object(ARRAY(i4[8], a142080data[8])), i24782[8], i24804[8], java.lang.Object(java.lang.String(i25648[8])))
LOAD49897ARR4(java.lang.Object(ARRAY(i4[12], a142080data[12])), i24782[12], i24804[12], java.lang.Object(java.lang.String(i25648[12]))) → COND_LOAD49897ARR4(&&(&&(&&(&&(>(i25648[12], 0), >(i24782[12], 0)), <(i24782[12], i4[12])), >(i24804[12], 0)), >(+(i24782[12], 1), 0)), java.lang.Object(ARRAY(i4[12], a142080data[12])), i24782[12], i24804[12], java.lang.Object(java.lang.String(i25648[12])))
LOAD49897ARR5(java.lang.Object(ARRAY(i4[15], a142080data[15])), i24782[15], i24804[15], java.lang.Object(java.lang.String(i25649[15]))) → COND_LOAD49897ARR5(&&(&&(&&(&&(<=(i25649[15], 0), >(i24782[15], 0)), <(i24782[15], i4[15])), >(i24804[15], 0)), >(+(i24782[15], 1), 0)), java.lang.Object(ARRAY(i4[15], a142080data[15])), i24782[15], i24804[15], java.lang.Object(java.lang.String(i25649[15])))
LOAD49897ARR8(java.lang.Object(ARRAY(i4[18], a142080data[18])), i24782[18], i24804[18], java.lang.Object(java.lang.String(i25649[18]))) → COND_LOAD49897ARR8(&&(&&(&&(&&(<=(i25649[18], 0), >(i24782[18], 0)), <(i24782[18], i4[18])), >(i24804[18], 0)), >(+(i24782[18], 1), 0)), java.lang.Object(ARRAY(i4[18], a142080data[18])), i24782[18], i24804[18], java.lang.Object(java.lang.String(i25649[18])))

The following pairs are in P≥:

LOAD49897(java.lang.Object(ARRAY(i4[0], a142080data[0])), i24782[0], i24804[0]) → LOAD49897ARR1(java.lang.Object(ARRAY(i4[0], a142080data[0])), i24782[0], i24804[0], java.lang.Object(java.lang.String(i25648[0])))
COND_LOAD49897ARR1(TRUE, java.lang.Object(ARRAY(i4[2], a142080data[2])), i24782[2], i24804[2], java.lang.Object(java.lang.String(i25648[2]))) → JMP52935'(java.lang.Object(ARRAY(i4[2], a142080data[2])), +(i24782[2], 1), i24804[2])
INC53049(java.lang.Object(ARRAY(i4[3], a142080data[3])), i25050[3], i24804[3]) → LOAD49897(java.lang.Object(ARRAY(i4[3], a142080data[3])), i25050[3], +(i24804[3], -1))
LOAD49897ARR2(java.lang.Object(ARRAY(i4[5], a142080data[5])), i24782[5], i24804[5], java.lang.Object(java.lang.String(i25649[5]))) → COND_LOAD49897ARR2(&&(&&(&&(&&(<=(i25649[5], 0), >(i24782[5], 0)), <(i24782[5], i4[5])), >(i24804[5], 0)), >(+(i24782[5], 1), 0)), java.lang.Object(ARRAY(i4[5], a142080data[5])), i24782[5], i24804[5], java.lang.Object(java.lang.String(i25649[5])))
COND_LOAD49897ARR2(TRUE, java.lang.Object(ARRAY(i4[6], a142080data[6])), i24782[6], i24804[6], java.lang.Object(java.lang.String(i25649[6]))) → LOAD49897(java.lang.Object(ARRAY(i4[6], a142080data[6])), +(i24782[6], 1), +(i24804[6], -1))
LOAD49897ARR3(java.lang.Object(ARRAY(i4[8], a142080data[8])), i24782[8], i24804[8], java.lang.Object(java.lang.String(i25648[8]))) → COND_LOAD49897ARR3(&&(&&(&&(&&(>(i25648[8], 0), >(i24782[8], 0)), <(i24782[8], i4[8])), >(i24804[8], 0)), >(+(i24782[8], 1), 0)), java.lang.Object(ARRAY(i4[8], a142080data[8])), i24782[8], i24804[8], java.lang.Object(java.lang.String(i25648[8])))
COND_LOAD49897ARR3(TRUE, java.lang.Object(ARRAY(i4[9], a142080data[9])), i24782[9], i24804[9], java.lang.Object(java.lang.String(i25648[9]))) → LOAD49897(java.lang.Object(ARRAY(i4[9], a142080data[9])), +(i24782[9], 1), +(i24804[9], -1))
JMP52935'(java.lang.Object(ARRAY(i4[10], a142080data[10])), i25050[10], i24804[10]) → INC53049(java.lang.Object(ARRAY(i4[10], a142080data[10])), i25050[10], i24804[10])
LOAD49897(java.lang.Object(ARRAY(i4[11], a142080data[11])), i24782[11], i24804[11]) → LOAD49897ARR4(java.lang.Object(ARRAY(i4[11], a142080data[11])), i24782[11], i24804[11], java.lang.Object(java.lang.String(i25648[11])))
COND_LOAD49897ARR4(TRUE, java.lang.Object(ARRAY(i4[13], a142080data[13])), i24782[13], i24804[13], java.lang.Object(java.lang.String(i25648[13]))) → INC53049(java.lang.Object(ARRAY(i4[13], a142080data[13])), +(i24782[13], 1), i24804[13])
LOAD49897ARR5(java.lang.Object(ARRAY(i4[15], a142080data[15])), i24782[15], i24804[15], java.lang.Object(java.lang.String(i25649[15]))) → COND_LOAD49897ARR5(&&(&&(&&(&&(<=(i25649[15], 0), >(i24782[15], 0)), <(i24782[15], i4[15])), >(i24804[15], 0)), >(+(i24782[15], 1), 0)), java.lang.Object(ARRAY(i4[15], a142080data[15])), i24782[15], i24804[15], java.lang.Object(java.lang.String(i25649[15])))
COND_LOAD49897ARR5(TRUE, java.lang.Object(ARRAY(i4[16], a142080data[16])), i24782[16], i24804[16], java.lang.Object(java.lang.String(i25649[16]))) → INC53049(java.lang.Object(ARRAY(i4[16], a142080data[16])), +(i24782[16], 1), i24804[16])
LOAD49897ARR8(java.lang.Object(ARRAY(i4[18], a142080data[18])), i24782[18], i24804[18], java.lang.Object(java.lang.String(i25649[18]))) → COND_LOAD49897ARR8(&&(&&(&&(&&(<=(i25649[18], 0), >(i24782[18], 0)), <(i24782[18], i4[18])), >(i24804[18], 0)), >(+(i24782[18], 1), 0)), java.lang.Object(ARRAY(i4[18], a142080data[18])), i24782[18], i24804[18], java.lang.Object(java.lang.String(i25649[18])))
COND_LOAD49897ARR8(TRUE, java.lang.Object(ARRAY(i4[19], a142080data[19])), i24782[19], i24804[19], java.lang.Object(java.lang.String(i25649[19]))) → JMP52935'(java.lang.Object(ARRAY(i4[19], a142080data[19])), +(i24782[19], 1), i24804[19])

There are no usable rules.

(32) Complex Obligation (AND)

(33) Obligation:

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


The following domains are used:

Integer, Boolean


R is empty.

The integer pair graph contains the following rules and edges:
(0): LOAD49897(java.lang.Object(ARRAY(i4[0], a142080data[0])), i24782[0], i24804[0]) → LOAD49897ARR1(java.lang.Object(ARRAY(i4[0], a142080data[0])), i24782[0], i24804[0], java.lang.Object(java.lang.String(i25648[0])))
(2): COND_LOAD49897ARR1(TRUE, java.lang.Object(ARRAY(i4[2], a142080data[2])), i24782[2], i24804[2], java.lang.Object(java.lang.String(i25648[2]))) → JMP52935'(java.lang.Object(ARRAY(i4[2], a142080data[2])), i24782[2] + 1, i24804[2])
(3): INC53049(java.lang.Object(ARRAY(i4[3], a142080data[3])), i25050[3], i24804[3]) → LOAD49897(java.lang.Object(ARRAY(i4[3], a142080data[3])), i25050[3], i24804[3] + -1)
(5): LOAD49897ARR2(java.lang.Object(ARRAY(i4[5], a142080data[5])), i24782[5], i24804[5], java.lang.Object(java.lang.String(i25649[5]))) → COND_LOAD49897ARR2(i25649[5] <= 0 && i24782[5] > 0 && i24782[5] < i4[5] && i24804[5] > 0 && i24782[5] + 1 > 0, java.lang.Object(ARRAY(i4[5], a142080data[5])), i24782[5], i24804[5], java.lang.Object(java.lang.String(i25649[5])))
(6): COND_LOAD49897ARR2(TRUE, java.lang.Object(ARRAY(i4[6], a142080data[6])), i24782[6], i24804[6], java.lang.Object(java.lang.String(i25649[6]))) → LOAD49897(java.lang.Object(ARRAY(i4[6], a142080data[6])), i24782[6] + 1, i24804[6] + -1)
(8): LOAD49897ARR3(java.lang.Object(ARRAY(i4[8], a142080data[8])), i24782[8], i24804[8], java.lang.Object(java.lang.String(i25648[8]))) → COND_LOAD49897ARR3(i25648[8] > 0 && i24782[8] > 0 && i24782[8] < i4[8] && i24804[8] > 0 && i24782[8] + 1 > 0, java.lang.Object(ARRAY(i4[8], a142080data[8])), i24782[8], i24804[8], java.lang.Object(java.lang.String(i25648[8])))
(9): COND_LOAD49897ARR3(TRUE, java.lang.Object(ARRAY(i4[9], a142080data[9])), i24782[9], i24804[9], java.lang.Object(java.lang.String(i25648[9]))) → LOAD49897(java.lang.Object(ARRAY(i4[9], a142080data[9])), i24782[9] + 1, i24804[9] + -1)
(10): JMP52935'(java.lang.Object(ARRAY(i4[10], a142080data[10])), i25050[10], i24804[10]) → INC53049(java.lang.Object(ARRAY(i4[10], a142080data[10])), i25050[10], i24804[10])
(11): LOAD49897(java.lang.Object(ARRAY(i4[11], a142080data[11])), i24782[11], i24804[11]) → LOAD49897ARR4(java.lang.Object(ARRAY(i4[11], a142080data[11])), i24782[11], i24804[11], java.lang.Object(java.lang.String(i25648[11])))
(13): COND_LOAD49897ARR4(TRUE, java.lang.Object(ARRAY(i4[13], a142080data[13])), i24782[13], i24804[13], java.lang.Object(java.lang.String(i25648[13]))) → INC53049(java.lang.Object(ARRAY(i4[13], a142080data[13])), i24782[13] + 1, i24804[13])
(15): LOAD49897ARR5(java.lang.Object(ARRAY(i4[15], a142080data[15])), i24782[15], i24804[15], java.lang.Object(java.lang.String(i25649[15]))) → COND_LOAD49897ARR5(i25649[15] <= 0 && i24782[15] > 0 && i24782[15] < i4[15] && i24804[15] > 0 && i24782[15] + 1 > 0, java.lang.Object(ARRAY(i4[15], a142080data[15])), i24782[15], i24804[15], java.lang.Object(java.lang.String(i25649[15])))
(16): COND_LOAD49897ARR5(TRUE, java.lang.Object(ARRAY(i4[16], a142080data[16])), i24782[16], i24804[16], java.lang.Object(java.lang.String(i25649[16]))) → INC53049(java.lang.Object(ARRAY(i4[16], a142080data[16])), i24782[16] + 1, i24804[16])
(18): LOAD49897ARR8(java.lang.Object(ARRAY(i4[18], a142080data[18])), i24782[18], i24804[18], java.lang.Object(java.lang.String(i25649[18]))) → COND_LOAD49897ARR8(i25649[18] <= 0 && i24782[18] > 0 && i24782[18] < i4[18] && i24804[18] > 0 && i24782[18] + 1 > 0, java.lang.Object(ARRAY(i4[18], a142080data[18])), i24782[18], i24804[18], java.lang.Object(java.lang.String(i25649[18])))
(19): COND_LOAD49897ARR8(TRUE, java.lang.Object(ARRAY(i4[19], a142080data[19])), i24782[19], i24804[19], java.lang.Object(java.lang.String(i25649[19]))) → JMP52935'(java.lang.Object(ARRAY(i4[19], a142080data[19])), i24782[19] + 1, i24804[19])

(3) -> (0), if (((i4[3] →* i4[0])∧(a142080data[3] →* a142080data[0]))∧(i24804[3] + -1 →* i24804[0])∧(i25050[3] →* i24782[0]))


(6) -> (0), if (((i4[6] →* i4[0])∧(a142080data[6] →* a142080data[0]))∧(i24804[6] + -1 →* i24804[0])∧(i24782[6] + 1 →* i24782[0]))


(9) -> (0), if (((i4[9] →* i4[0])∧(a142080data[9] →* a142080data[0]))∧(i24782[9] + 1 →* i24782[0])∧(i24804[9] + -1 →* i24804[0]))


(10) -> (3), if ((i25050[10] →* i25050[3])∧((i4[10] →* i4[3])∧(a142080data[10] →* a142080data[3]))∧(i24804[10] →* i24804[3]))


(13) -> (3), if ((i24804[13] →* i24804[3])∧(i24782[13] + 1 →* i25050[3])∧((i4[13] →* i4[3])∧(a142080data[13] →* a142080data[3])))


(16) -> (3), if ((i24782[16] + 1 →* i25050[3])∧(i24804[16] →* i24804[3])∧((i4[16] →* i4[3])∧(a142080data[16] →* a142080data[3])))


(5) -> (6), if (((i25649[5] →* i25649[6]))∧(i24782[5] →* i24782[6])∧((i4[5] →* i4[6])∧(a142080data[5] →* a142080data[6]))∧(i25649[5] <= 0 && i24782[5] > 0 && i24782[5] < i4[5] && i24804[5] > 0 && i24782[5] + 1 > 0 →* TRUE)∧(i24804[5] →* i24804[6]))


(8) -> (9), if ((i24804[8] →* i24804[9])∧((i4[8] →* i4[9])∧(a142080data[8] →* a142080data[9]))∧(i24782[8] →* i24782[9])∧((i25648[8] →* i25648[9]))∧(i25648[8] > 0 && i24782[8] > 0 && i24782[8] < i4[8] && i24804[8] > 0 && i24782[8] + 1 > 0 →* TRUE))


(2) -> (10), if ((i24782[2] + 1 →* i25050[10])∧(i24804[2] →* i24804[10])∧((i4[2] →* i4[10])∧(a142080data[2] →* a142080data[10])))


(19) -> (10), if ((i24782[19] + 1 →* i25050[10])∧((i4[19] →* i4[10])∧(a142080data[19] →* a142080data[10]))∧(i24804[19] →* i24804[10]))


(3) -> (11), if ((i24804[3] + -1 →* i24804[11])∧(i25050[3] →* i24782[11])∧((i4[3] →* i4[11])∧(a142080data[3] →* a142080data[11])))


(6) -> (11), if (((i4[6] →* i4[11])∧(a142080data[6] →* a142080data[11]))∧(i24804[6] + -1 →* i24804[11])∧(i24782[6] + 1 →* i24782[11]))


(9) -> (11), if ((i24782[9] + 1 →* i24782[11])∧(i24804[9] + -1 →* i24804[11])∧((i4[9] →* i4[11])∧(a142080data[9] →* a142080data[11])))


(15) -> (16), if (((i4[15] →* i4[16])∧(a142080data[15] →* a142080data[16]))∧(i25649[15] <= 0 && i24782[15] > 0 && i24782[15] < i4[15] && i24804[15] > 0 && i24782[15] + 1 > 0 →* TRUE)∧((i25649[15] →* i25649[16]))∧(i24804[15] →* i24804[16])∧(i24782[15] →* i24782[16]))


(18) -> (19), if ((i25649[18] <= 0 && i24782[18] > 0 && i24782[18] < i4[18] && i24804[18] > 0 && i24782[18] + 1 > 0 →* TRUE)∧(i24804[18] →* i24804[19])∧(i24782[18] →* i24782[19])∧((i4[18] →* i4[19])∧(a142080data[18] →* a142080data[19]))∧((i25649[18] →* i25649[19])))



The set Q consists of the following terms:
Load49897(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load49897ARR1(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load49897ARR1(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Inc53049(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load49897ARR2(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load49897ARR2(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Load49897ARR3(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load49897ARR3(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
JMP52935(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load49897ARR4(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load49897ARR4(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Load49897ARR5(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load49897ARR5(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Load49897ARR8(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load49897ARR8(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))

(34) IDependencyGraphProof (EQUIVALENT transformation)

The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 0 SCCs with 14 less nodes.

(35) TRUE

(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


R is empty.

The integer pair graph contains the following rules and edges:
(0): LOAD49897(java.lang.Object(ARRAY(i4[0], a142080data[0])), i24782[0], i24804[0]) → LOAD49897ARR1(java.lang.Object(ARRAY(i4[0], a142080data[0])), i24782[0], i24804[0], java.lang.Object(java.lang.String(i25648[0])))
(2): COND_LOAD49897ARR1(TRUE, java.lang.Object(ARRAY(i4[2], a142080data[2])), i24782[2], i24804[2], java.lang.Object(java.lang.String(i25648[2]))) → JMP52935'(java.lang.Object(ARRAY(i4[2], a142080data[2])), i24782[2] + 1, i24804[2])
(3): INC53049(java.lang.Object(ARRAY(i4[3], a142080data[3])), i25050[3], i24804[3]) → LOAD49897(java.lang.Object(ARRAY(i4[3], a142080data[3])), i25050[3], i24804[3] + -1)
(4): LOAD49897(java.lang.Object(ARRAY(i4[4], a142080data[4])), i24782[4], i24804[4]) → LOAD49897ARR2(java.lang.Object(ARRAY(i4[4], a142080data[4])), i24782[4], i24804[4], java.lang.Object(java.lang.String(i25649[4])))
(6): COND_LOAD49897ARR2(TRUE, java.lang.Object(ARRAY(i4[6], a142080data[6])), i24782[6], i24804[6], java.lang.Object(java.lang.String(i25649[6]))) → LOAD49897(java.lang.Object(ARRAY(i4[6], a142080data[6])), i24782[6] + 1, i24804[6] + -1)
(7): LOAD49897(java.lang.Object(ARRAY(i4[7], a142080data[7])), i24782[7], i24804[7]) → LOAD49897ARR3(java.lang.Object(ARRAY(i4[7], a142080data[7])), i24782[7], i24804[7], java.lang.Object(java.lang.String(i25648[7])))
(9): COND_LOAD49897ARR3(TRUE, java.lang.Object(ARRAY(i4[9], a142080data[9])), i24782[9], i24804[9], java.lang.Object(java.lang.String(i25648[9]))) → LOAD49897(java.lang.Object(ARRAY(i4[9], a142080data[9])), i24782[9] + 1, i24804[9] + -1)
(10): JMP52935'(java.lang.Object(ARRAY(i4[10], a142080data[10])), i25050[10], i24804[10]) → INC53049(java.lang.Object(ARRAY(i4[10], a142080data[10])), i25050[10], i24804[10])
(11): LOAD49897(java.lang.Object(ARRAY(i4[11], a142080data[11])), i24782[11], i24804[11]) → LOAD49897ARR4(java.lang.Object(ARRAY(i4[11], a142080data[11])), i24782[11], i24804[11], java.lang.Object(java.lang.String(i25648[11])))
(13): COND_LOAD49897ARR4(TRUE, java.lang.Object(ARRAY(i4[13], a142080data[13])), i24782[13], i24804[13], java.lang.Object(java.lang.String(i25648[13]))) → INC53049(java.lang.Object(ARRAY(i4[13], a142080data[13])), i24782[13] + 1, i24804[13])
(14): LOAD49897(java.lang.Object(ARRAY(i4[14], a142080data[14])), i24782[14], i24804[14]) → LOAD49897ARR5(java.lang.Object(ARRAY(i4[14], a142080data[14])), i24782[14], i24804[14], java.lang.Object(java.lang.String(i25649[14])))
(16): COND_LOAD49897ARR5(TRUE, java.lang.Object(ARRAY(i4[16], a142080data[16])), i24782[16], i24804[16], java.lang.Object(java.lang.String(i25649[16]))) → INC53049(java.lang.Object(ARRAY(i4[16], a142080data[16])), i24782[16] + 1, i24804[16])
(17): LOAD49897(java.lang.Object(ARRAY(i4[17], a142080data[17])), i24782[17], i24804[17]) → LOAD49897ARR8(java.lang.Object(ARRAY(i4[17], a142080data[17])), i24782[17], i24804[17], java.lang.Object(java.lang.String(i25649[17])))
(19): COND_LOAD49897ARR8(TRUE, java.lang.Object(ARRAY(i4[19], a142080data[19])), i24782[19], i24804[19], java.lang.Object(java.lang.String(i25649[19]))) → JMP52935'(java.lang.Object(ARRAY(i4[19], a142080data[19])), i24782[19] + 1, i24804[19])

(3) -> (0), if (((i4[3] →* i4[0])∧(a142080data[3] →* a142080data[0]))∧(i24804[3] + -1 →* i24804[0])∧(i25050[3] →* i24782[0]))


(6) -> (0), if (((i4[6] →* i4[0])∧(a142080data[6] →* a142080data[0]))∧(i24804[6] + -1 →* i24804[0])∧(i24782[6] + 1 →* i24782[0]))


(9) -> (0), if (((i4[9] →* i4[0])∧(a142080data[9] →* a142080data[0]))∧(i24782[9] + 1 →* i24782[0])∧(i24804[9] + -1 →* i24804[0]))


(10) -> (3), if ((i25050[10] →* i25050[3])∧((i4[10] →* i4[3])∧(a142080data[10] →* a142080data[3]))∧(i24804[10] →* i24804[3]))


(13) -> (3), if ((i24804[13] →* i24804[3])∧(i24782[13] + 1 →* i25050[3])∧((i4[13] →* i4[3])∧(a142080data[13] →* a142080data[3])))


(16) -> (3), if ((i24782[16] + 1 →* i25050[3])∧(i24804[16] →* i24804[3])∧((i4[16] →* i4[3])∧(a142080data[16] →* a142080data[3])))


(3) -> (4), if ((i24804[3] + -1 →* i24804[4])∧(i25050[3] →* i24782[4])∧((i4[3] →* i4[4])∧(a142080data[3] →* a142080data[4])))


(6) -> (4), if ((i24782[6] + 1 →* i24782[4])∧((i4[6] →* i4[4])∧(a142080data[6] →* a142080data[4]))∧(i24804[6] + -1 →* i24804[4]))


(9) -> (4), if ((i24782[9] + 1 →* i24782[4])∧(i24804[9] + -1 →* i24804[4])∧((i4[9] →* i4[4])∧(a142080data[9] →* a142080data[4])))


(3) -> (7), if ((i25050[3] →* i24782[7])∧(i24804[3] + -1 →* i24804[7])∧((i4[3] →* i4[7])∧(a142080data[3] →* a142080data[7])))


(6) -> (7), if ((i24804[6] + -1 →* i24804[7])∧(i24782[6] + 1 →* i24782[7])∧((i4[6] →* i4[7])∧(a142080data[6] →* a142080data[7])))


(9) -> (7), if ((i24804[9] + -1 →* i24804[7])∧((i4[9] →* i4[7])∧(a142080data[9] →* a142080data[7]))∧(i24782[9] + 1 →* i24782[7]))


(2) -> (10), if ((i24782[2] + 1 →* i25050[10])∧(i24804[2] →* i24804[10])∧((i4[2] →* i4[10])∧(a142080data[2] →* a142080data[10])))


(19) -> (10), if ((i24782[19] + 1 →* i25050[10])∧((i4[19] →* i4[10])∧(a142080data[19] →* a142080data[10]))∧(i24804[19] →* i24804[10]))


(3) -> (11), if ((i24804[3] + -1 →* i24804[11])∧(i25050[3] →* i24782[11])∧((i4[3] →* i4[11])∧(a142080data[3] →* a142080data[11])))


(6) -> (11), if (((i4[6] →* i4[11])∧(a142080data[6] →* a142080data[11]))∧(i24804[6] + -1 →* i24804[11])∧(i24782[6] + 1 →* i24782[11]))


(9) -> (11), if ((i24782[9] + 1 →* i24782[11])∧(i24804[9] + -1 →* i24804[11])∧((i4[9] →* i4[11])∧(a142080data[9] →* a142080data[11])))


(3) -> (14), if ((i24804[3] + -1 →* i24804[14])∧(i25050[3] →* i24782[14])∧((i4[3] →* i4[14])∧(a142080data[3] →* a142080data[14])))


(6) -> (14), if (((i4[6] →* i4[14])∧(a142080data[6] →* a142080data[14]))∧(i24804[6] + -1 →* i24804[14])∧(i24782[6] + 1 →* i24782[14]))


(9) -> (14), if ((i24804[9] + -1 →* i24804[14])∧(i24782[9] + 1 →* i24782[14])∧((i4[9] →* i4[14])∧(a142080data[9] →* a142080data[14])))


(3) -> (17), if ((i25050[3] →* i24782[17])∧(i24804[3] + -1 →* i24804[17])∧((i4[3] →* i4[17])∧(a142080data[3] →* a142080data[17])))


(6) -> (17), if ((i24804[6] + -1 →* i24804[17])∧((i4[6] →* i4[17])∧(a142080data[6] →* a142080data[17]))∧(i24782[6] + 1 →* i24782[17]))


(9) -> (17), if (((i4[9] →* i4[17])∧(a142080data[9] →* a142080data[17]))∧(i24782[9] + 1 →* i24782[17])∧(i24804[9] + -1 →* i24804[17]))



The set Q consists of the following terms:
Load49897(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load49897ARR1(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load49897ARR1(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Inc53049(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load49897ARR2(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load49897ARR2(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Load49897ARR3(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load49897ARR3(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
JMP52935(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load49897ARR4(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load49897ARR4(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Load49897ARR5(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load49897ARR5(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Load49897ARR8(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load49897ARR8(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))

(37) IDependencyGraphProof (EQUIVALENT transformation)

The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 0 SCCs with 14 less nodes.

(38) TRUE

(39) Obligation:

ITRS problem:

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

The TRS R consists of the following rules:
Load23089(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(Tree(java.lang.Object(Tree(o44799Field0, o44799Field1)), o37344)), java.lang.Object(Tree(java.lang.Object(Tree(o44799Field0, o44799Field1)), o37344))) → Load23089ARR9(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(Tree(java.lang.Object(Tree(o44799Field0, o44799Field1)), o37344)), java.lang.Object(Tree(java.lang.Object(Tree(o44799Field0, o44799Field1)), o37344)), java.lang.Object(java.lang.String(i7126)))
Load23089ARR9(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(Tree(java.lang.Object(Tree(o44799Field0, o44799Field1)), o37344)), java.lang.Object(Tree(java.lang.Object(Tree(o44799Field0, o44799Field1)), o37344)), java.lang.Object(java.lang.String(i7126))) → Cond_Load23089ARR9(i7126 > 0 && i6133 > 0 && i6133 < i4 && i6160 > 0 && i6133 + 1 > 0, java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(Tree(java.lang.Object(Tree(o44799Field0, o44799Field1)), o37344)), java.lang.Object(Tree(java.lang.Object(Tree(o44799Field0, o44799Field1)), o37344)), java.lang.Object(java.lang.String(i7126)))
Cond_Load23089ARR9(TRUE, java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(Tree(java.lang.Object(Tree(o44799Field0, o44799Field1)), o37344)), java.lang.Object(Tree(java.lang.Object(Tree(o44799Field0, o44799Field1)), o37344)), java.lang.Object(java.lang.String(i7126))) → JMP28245(java.lang.Object(ARRAY(i4, a45013data)), i6133 + 1, i6160, java.lang.Object(Tree(java.lang.Object(Tree(o44799Field0, o44799Field1)), o37344)), java.lang.Object(Tree(o44799Field0, o44799Field1)))
Inc28334(java.lang.Object(ARRAY(i4, a45013data)), i6441, i6160, java.lang.Object(Tree(o37343, o37344)), java.lang.Object(Tree(o45283Field0, o45283Field1))) → Load23089(java.lang.Object(ARRAY(i4, a45013data)), i6441, i6160 + -1, java.lang.Object(Tree(o37343, o37344)), java.lang.Object(Tree(o45283Field0, o45283Field1)))
Load23089(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(Tree(o37343, o37344)), java.lang.Object(Tree(o44498, java.lang.Object(Tree(o45283Field0, o45283Field1))))) → Load23089ARR10(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(Tree(o37343, o37344)), java.lang.Object(Tree(o44498, java.lang.Object(Tree(o45283Field0, o45283Field1)))), java.lang.Object(java.lang.String(i7127)))
Load23089ARR10(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(Tree(o37343, o37344)), java.lang.Object(Tree(o44498, java.lang.Object(Tree(o45283Field0, o45283Field1)))), java.lang.Object(java.lang.String(i7127))) → Cond_Load23089ARR10(i7127 <= 0 && i6133 > 0 && i6133 < i4 && i6160 > 0 && i6133 + 1 > 0, java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(Tree(o37343, o37344)), java.lang.Object(Tree(o44498, java.lang.Object(Tree(o45283Field0, o45283Field1)))), java.lang.Object(java.lang.String(i7127)))
Cond_Load23089ARR10(TRUE, java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(Tree(o37343, o37344)), java.lang.Object(Tree(o44498, java.lang.Object(Tree(o45283Field0, o45283Field1)))), java.lang.Object(java.lang.String(i7127))) → Load23089(java.lang.Object(ARRAY(i4, a45013data)), i6133 + 1, i6160 + -1, java.lang.Object(Tree(o37343, o37344)), java.lang.Object(Tree(o45283Field0, o45283Field1)))
Inc31567(java.lang.Object(ARRAY(i4, a45013data)), i6441, i6160, java.lang.Object(Tree(o37343, o37344)), java.lang.Object(Tree(o37343, o37344))) → Load23089(java.lang.Object(ARRAY(i4, a45013data)), i6441, i6160 + -1, java.lang.Object(Tree(o37343, o37344)), java.lang.Object(Tree(o37343, o37344)))
JMP31316(java.lang.Object(ARRAY(i4, a45013data)), i6441, i6160, java.lang.Object(Tree(o37343, o37344)), java.lang.Object(Tree(o37343, o37344))) → Load23089(java.lang.Object(ARRAY(i4, a45013data)), i6441, i6160 + -1, java.lang.Object(Tree(o37343, o37344)), java.lang.Object(Tree(o37343, o37344)))
Load23089(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(Tree(o37343, o37344)), java.lang.Object(Tree(NULL, o44474))) → Load23089ARR11(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(Tree(o37343, o37344)), java.lang.Object(Tree(NULL, o44474)), java.lang.Object(java.lang.String(i7126)))
Load23089ARR11(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(Tree(o37343, o37344)), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o44474)), java.lang.Object(java.lang.String(i7126))) → Cond_Load23089ARR11(i7126 > 0 && i6133 > 0 && i6133 < i4 && i6160 > 0 && i6133 + 1 > 0, java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(Tree(o37343, o37344)), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o44474)), java.lang.Object(java.lang.String(i7126)))
Cond_Load23089ARR11(TRUE, java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(Tree(o37343, o37344)), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o44474)), java.lang.Object(java.lang.String(i7126))) → Load23089(java.lang.Object(ARRAY(i4, a45013data)), i6133 + 1, i6160 + -1, o37342new, o37342new)
JMP28245(java.lang.Object(ARRAY(i4, a45013data)), i6441, i6160, java.lang.Object(Tree(o37343, o37344)), java.lang.Object(Tree(o45236Field0, o45236Field1))) → Inc28334(java.lang.Object(ARRAY(i4, a45013data)), i6441, i6160, java.lang.Object(Tree(o37343, o37344)), java.lang.Object(Tree(o45236Field0, o45236Field1)))
Load23089(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(Tree(o37343, o37344)), java.lang.Object(Tree(java.lang.Object(Tree(o45236Field0, o45236Field1)), o44474))) → Load23089ARR12(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(Tree(o37343, o37344)), java.lang.Object(Tree(java.lang.Object(Tree(o45236Field0, o45236Field1)), o44474)), java.lang.Object(java.lang.String(i7126)))
Load23089ARR12(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(Tree(o37343, o37344)), java.lang.Object(Tree(java.lang.Object(Tree(o45236Field0, o45236Field1)), o44474)), java.lang.Object(java.lang.String(i7126))) → Cond_Load23089ARR12(i7126 > 0 && i6133 > 0 && i6133 < i4 && i6160 > 0 && i6133 + 1 > 0, java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(Tree(o37343, o37344)), java.lang.Object(Tree(java.lang.Object(Tree(o45236Field0, o45236Field1)), o44474)), java.lang.Object(java.lang.String(i7126)))
Cond_Load23089ARR12(TRUE, java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(Tree(o37343, o37344)), java.lang.Object(Tree(java.lang.Object(Tree(o45236Field0, o45236Field1)), o44474)), java.lang.Object(java.lang.String(i7126))) → Inc28334(java.lang.Object(ARRAY(i4, a45013data)), i6133 + 1, i6160, java.lang.Object(Tree(o37343, o37344)), java.lang.Object(Tree(o45236Field0, o45236Field1)))
Load23089(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(Tree(o37343, java.lang.Object(Tree(o44917Field0, o44917Field1)))), java.lang.Object(Tree(o37343, java.lang.Object(Tree(o44917Field0, o44917Field1))))) → Load23089ARR13(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(Tree(o37343, java.lang.Object(Tree(o44917Field0, o44917Field1)))), java.lang.Object(Tree(o37343, java.lang.Object(Tree(o44917Field0, o44917Field1)))), java.lang.Object(java.lang.String(i7127)))
Load23089ARR13(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(Tree(o37343, java.lang.Object(Tree(o44917Field0, o44917Field1)))), java.lang.Object(Tree(o37343, java.lang.Object(Tree(o44917Field0, o44917Field1)))), java.lang.Object(java.lang.String(i7127))) → Cond_Load23089ARR13(i7127 <= 0 && i6133 > 0 && i6133 < i4 && i6160 > 0 && i6133 + 1 > 0, java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(Tree(o37343, java.lang.Object(Tree(o44917Field0, o44917Field1)))), java.lang.Object(Tree(o37343, java.lang.Object(Tree(o44917Field0, o44917Field1)))), java.lang.Object(java.lang.String(i7127)))
Cond_Load23089ARR13(TRUE, java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(Tree(o37343, java.lang.Object(Tree(o44917Field0, o44917Field1)))), java.lang.Object(Tree(o37343, java.lang.Object(Tree(o44917Field0, o44917Field1)))), java.lang.Object(java.lang.String(i7127))) → Inc28334(java.lang.Object(ARRAY(i4, a45013data)), i6133 + 1, i6160, java.lang.Object(Tree(o37343, java.lang.Object(Tree(o44917Field0, o44917Field1)))), java.lang.Object(Tree(o44917Field0, o44917Field1)))
JMP31361(java.lang.Object(ARRAY(i4, a45013data)), i6441, i6160, java.lang.Object(Tree(o37343, o37344)), java.lang.Object(Tree(o37343, o37344))) → Inc31567(java.lang.Object(ARRAY(i4, a45013data)), i6441, i6160, java.lang.Object(Tree(o37343, o37344)), java.lang.Object(Tree(o37343, o37344)))
Load23089(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(Tree(o37343, o37344)), java.lang.Object(Tree(o44498, NULL))) → Load23089ARR14(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(Tree(o37343, o37344)), java.lang.Object(Tree(o44498, NULL)), java.lang.Object(java.lang.String(i7127)))
Load23089ARR14(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(Tree(o37343, o37344)), java.lang.Object(Tree(o44498, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(i7127))) → Cond_Load23089ARR14(i7127 <= 0 && i6133 > 0 && i6133 < i4 && i6160 > 0 && i6133 + 1 > 0, java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(Tree(o37343, o37344)), java.lang.Object(Tree(o44498, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(i7127)))
Cond_Load23089ARR14(TRUE, java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(Tree(o37343, o37344)), java.lang.Object(Tree(o44498, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(i7127))) → Inc31567(java.lang.Object(ARRAY(i4, a45013data)), i6133 + 1, i6160, o37342new, o37342new)
Load23089(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(Tree(NULL, o37344)), java.lang.Object(Tree(NULL, o37344))) → Load23089ARR15(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(Tree(NULL, o37344)), java.lang.Object(Tree(NULL, o37344)), java.lang.Object(java.lang.String(i7126)))
Load23089ARR15(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o37344)), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o37344)), java.lang.Object(java.lang.String(i7126))) → Cond_Load23089ARR15(i7126 > 0 && i6133 > 0 && i6133 < i4 && i6160 > 0 && i6133 + 1 > 0, java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o37344)), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o37344)), java.lang.Object(java.lang.String(i7126)))
Cond_Load23089ARR15(TRUE, java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o37344)), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o37344)), java.lang.Object(java.lang.String(i7126))) → JMP31316(java.lang.Object(ARRAY(i4, a45013data)), i6133 + 1, i6160, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o37344)), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o37344)))
Load23089(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(Tree(o37343, NULL)), java.lang.Object(Tree(o37343, NULL))) → Load23089ARR16(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(Tree(o37343, NULL)), java.lang.Object(Tree(o37343, NULL)), java.lang.Object(java.lang.String(i7127)))
Load23089ARR16(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(Tree(o37343, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(Tree(o37343, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(i7127))) → Cond_Load23089ARR16(i7127 <= 0 && i6133 > 0 && i6133 < i4 && i6160 > 0 && i6133 + 1 > 0, java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(Tree(o37343, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(Tree(o37343, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(i7127)))
Cond_Load23089ARR16(TRUE, java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(Tree(o37343, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(Tree(o37343, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(i7127))) → JMP31361(java.lang.Object(ARRAY(i4, a45013data)), i6133 + 1, i6160, java.lang.Object(Tree(o37343, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(Tree(o37343, java.lang.Object(Tree(NULL, NULL)))))
The set Q consists of the following terms:
Load23089ARR9(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(java.lang.Object(Tree(x4, x5)), x6)), java.lang.Object(Tree(java.lang.Object(Tree(x4, x5)), x6)), java.lang.Object(java.lang.String(x7)))
Cond_Load23089ARR9(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(java.lang.Object(Tree(x4, x5)), x6)), java.lang.Object(Tree(java.lang.Object(Tree(x4, x5)), x6)), java.lang.Object(java.lang.String(x7)))
Inc28334(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x6, x7)))
Load23089(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x6, java.lang.Object(Tree(x7, x8)))))
Load23089ARR10(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x6, java.lang.Object(Tree(x7, x8)))), java.lang.Object(java.lang.String(x9)))
Cond_Load23089ARR10(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x6, java.lang.Object(Tree(x7, x8)))), java.lang.Object(java.lang.String(x9)))
Inc31567(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x4, x5)))
JMP31316(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x4, x5)))
Load23089(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(NULL, x6)))
Load23089ARR11(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), x6)), java.lang.Object(java.lang.String(x7)))
Cond_Load23089ARR11(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), x6)), java.lang.Object(java.lang.String(x7)))
JMP28245(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x6, x7)))
Load23089(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(java.lang.Object(Tree(x6, x7)), x8)))
Load23089ARR12(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(java.lang.Object(Tree(x6, x7)), x8)), java.lang.Object(java.lang.String(x9)))
Cond_Load23089ARR12(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(java.lang.Object(Tree(x6, x7)), x8)), java.lang.Object(java.lang.String(x9)))
Load23089ARR13(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, java.lang.Object(Tree(x5, x6)))), java.lang.Object(Tree(x4, java.lang.Object(Tree(x5, x6)))), java.lang.Object(java.lang.String(x7)))
Cond_Load23089ARR13(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, java.lang.Object(Tree(x5, x6)))), java.lang.Object(Tree(x4, java.lang.Object(Tree(x5, x6)))), java.lang.Object(java.lang.String(x7)))
JMP31361(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x4, x5)))
Load23089(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x6, NULL)))
Load23089ARR14(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x6, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(x7)))
Cond_Load23089ARR14(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x6, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(x7)))
Load23089ARR15(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), x4)), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), x4)), java.lang.Object(java.lang.String(x5)))
Cond_Load23089ARR15(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), x4)), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), x4)), java.lang.Object(java.lang.String(x5)))
Load23089ARR16(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(Tree(x4, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(x5)))
Cond_Load23089ARR16(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(Tree(x4, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(x5)))

(40) DuplicateArgsRemoverProof (EQUIVALENT transformation)

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

JMP31361(x1, x2, x3, x4, x5) → JMP31361(x1, x2, x3, x5)
Cond_Load23089ARR16(x1, x2, x3, x4, x5, x6, x7) → Cond_Load23089ARR16(x1, x2, x3, x4, x6, x7)
Load23089ARR16(x1, x2, x3, x4, x5, x6) → Load23089ARR16(x1, x2, x3, x5, x6)
JMP31316(x1, x2, x3, x4, x5) → JMP31316(x1, x2, x3, x5)
Cond_Load23089ARR15(x1, x2, x3, x4, x5, x6, x7) → Cond_Load23089ARR15(x1, x2, x3, x4, x6, x7)
Load23089ARR15(x1, x2, x3, x4, x5, x6) → Load23089ARR15(x1, x2, x3, x5, x6)
Inc31567(x1, x2, x3, x4, x5) → Inc31567(x1, x2, x3, x5)
Cond_Load23089ARR13(x1, x2, x3, x4, x5, x6, x7) → Cond_Load23089ARR13(x1, x2, x3, x4, x6, x7)
Load23089ARR13(x1, x2, x3, x4, x5, x6) → Load23089ARR13(x1, x2, x3, x5, x6)
Cond_Load23089ARR9(x1, x2, x3, x4, x5, x6, x7) → Cond_Load23089ARR9(x1, x2, x3, x4, x6, x7)
Load23089ARR9(x1, x2, x3, x4, x5, x6) → Load23089ARR9(x1, x2, x3, x5, x6)

(41) Obligation:

ITRS problem:

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

The TRS R consists of the following rules:
Load23089(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(Tree(java.lang.Object(Tree(o44799Field0, o44799Field1)), o37344)), java.lang.Object(Tree(java.lang.Object(Tree(o44799Field0, o44799Field1)), o37344))) → Load23089ARR9(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(Tree(java.lang.Object(Tree(o44799Field0, o44799Field1)), o37344)), java.lang.Object(java.lang.String(i7126)))
Load23089ARR9(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(Tree(java.lang.Object(Tree(o44799Field0, o44799Field1)), o37344)), java.lang.Object(java.lang.String(i7126))) → Cond_Load23089ARR9(i7126 > 0 && i6133 > 0 && i6133 < i4 && i6160 > 0 && i6133 + 1 > 0, java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(Tree(java.lang.Object(Tree(o44799Field0, o44799Field1)), o37344)), java.lang.Object(java.lang.String(i7126)))
Cond_Load23089ARR9(TRUE, java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(Tree(java.lang.Object(Tree(o44799Field0, o44799Field1)), o37344)), java.lang.Object(java.lang.String(i7126))) → JMP28245(java.lang.Object(ARRAY(i4, a45013data)), i6133 + 1, i6160, java.lang.Object(Tree(java.lang.Object(Tree(o44799Field0, o44799Field1)), o37344)), java.lang.Object(Tree(o44799Field0, o44799Field1)))
Inc28334(java.lang.Object(ARRAY(i4, a45013data)), i6441, i6160, java.lang.Object(Tree(o37343, o37344)), java.lang.Object(Tree(o45283Field0, o45283Field1))) → Load23089(java.lang.Object(ARRAY(i4, a45013data)), i6441, i6160 + -1, java.lang.Object(Tree(o37343, o37344)), java.lang.Object(Tree(o45283Field0, o45283Field1)))
Load23089(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(Tree(o37343, o37344)), java.lang.Object(Tree(o44498, java.lang.Object(Tree(o45283Field0, o45283Field1))))) → Load23089ARR10(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(Tree(o37343, o37344)), java.lang.Object(Tree(o44498, java.lang.Object(Tree(o45283Field0, o45283Field1)))), java.lang.Object(java.lang.String(i7127)))
Load23089ARR10(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(Tree(o37343, o37344)), java.lang.Object(Tree(o44498, java.lang.Object(Tree(o45283Field0, o45283Field1)))), java.lang.Object(java.lang.String(i7127))) → Cond_Load23089ARR10(i7127 <= 0 && i6133 > 0 && i6133 < i4 && i6160 > 0 && i6133 + 1 > 0, java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(Tree(o37343, o37344)), java.lang.Object(Tree(o44498, java.lang.Object(Tree(o45283Field0, o45283Field1)))), java.lang.Object(java.lang.String(i7127)))
Cond_Load23089ARR10(TRUE, java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(Tree(o37343, o37344)), java.lang.Object(Tree(o44498, java.lang.Object(Tree(o45283Field0, o45283Field1)))), java.lang.Object(java.lang.String(i7127))) → Load23089(java.lang.Object(ARRAY(i4, a45013data)), i6133 + 1, i6160 + -1, java.lang.Object(Tree(o37343, o37344)), java.lang.Object(Tree(o45283Field0, o45283Field1)))
Inc31567(java.lang.Object(ARRAY(i4, a45013data)), i6441, i6160, java.lang.Object(Tree(o37343, o37344))) → Load23089(java.lang.Object(ARRAY(i4, a45013data)), i6441, i6160 + -1, java.lang.Object(Tree(o37343, o37344)), java.lang.Object(Tree(o37343, o37344)))
JMP31316(java.lang.Object(ARRAY(i4, a45013data)), i6441, i6160, java.lang.Object(Tree(o37343, o37344))) → Load23089(java.lang.Object(ARRAY(i4, a45013data)), i6441, i6160 + -1, java.lang.Object(Tree(o37343, o37344)), java.lang.Object(Tree(o37343, o37344)))
Load23089(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(Tree(o37343, o37344)), java.lang.Object(Tree(NULL, o44474))) → Load23089ARR11(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(Tree(o37343, o37344)), java.lang.Object(Tree(NULL, o44474)), java.lang.Object(java.lang.String(i7126)))
Load23089ARR11(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(Tree(o37343, o37344)), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o44474)), java.lang.Object(java.lang.String(i7126))) → Cond_Load23089ARR11(i7126 > 0 && i6133 > 0 && i6133 < i4 && i6160 > 0 && i6133 + 1 > 0, java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(Tree(o37343, o37344)), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o44474)), java.lang.Object(java.lang.String(i7126)))
Cond_Load23089ARR11(TRUE, java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(Tree(o37343, o37344)), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o44474)), java.lang.Object(java.lang.String(i7126))) → Load23089(java.lang.Object(ARRAY(i4, a45013data)), i6133 + 1, i6160 + -1, o37342new, o37342new)
JMP28245(java.lang.Object(ARRAY(i4, a45013data)), i6441, i6160, java.lang.Object(Tree(o37343, o37344)), java.lang.Object(Tree(o45236Field0, o45236Field1))) → Inc28334(java.lang.Object(ARRAY(i4, a45013data)), i6441, i6160, java.lang.Object(Tree(o37343, o37344)), java.lang.Object(Tree(o45236Field0, o45236Field1)))
Load23089(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(Tree(o37343, o37344)), java.lang.Object(Tree(java.lang.Object(Tree(o45236Field0, o45236Field1)), o44474))) → Load23089ARR12(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(Tree(o37343, o37344)), java.lang.Object(Tree(java.lang.Object(Tree(o45236Field0, o45236Field1)), o44474)), java.lang.Object(java.lang.String(i7126)))
Load23089ARR12(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(Tree(o37343, o37344)), java.lang.Object(Tree(java.lang.Object(Tree(o45236Field0, o45236Field1)), o44474)), java.lang.Object(java.lang.String(i7126))) → Cond_Load23089ARR12(i7126 > 0 && i6133 > 0 && i6133 < i4 && i6160 > 0 && i6133 + 1 > 0, java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(Tree(o37343, o37344)), java.lang.Object(Tree(java.lang.Object(Tree(o45236Field0, o45236Field1)), o44474)), java.lang.Object(java.lang.String(i7126)))
Cond_Load23089ARR12(TRUE, java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(Tree(o37343, o37344)), java.lang.Object(Tree(java.lang.Object(Tree(o45236Field0, o45236Field1)), o44474)), java.lang.Object(java.lang.String(i7126))) → Inc28334(java.lang.Object(ARRAY(i4, a45013data)), i6133 + 1, i6160, java.lang.Object(Tree(o37343, o37344)), java.lang.Object(Tree(o45236Field0, o45236Field1)))
Load23089(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(Tree(o37343, java.lang.Object(Tree(o44917Field0, o44917Field1)))), java.lang.Object(Tree(o37343, java.lang.Object(Tree(o44917Field0, o44917Field1))))) → Load23089ARR13(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(Tree(o37343, java.lang.Object(Tree(o44917Field0, o44917Field1)))), java.lang.Object(java.lang.String(i7127)))
Load23089ARR13(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(Tree(o37343, java.lang.Object(Tree(o44917Field0, o44917Field1)))), java.lang.Object(java.lang.String(i7127))) → Cond_Load23089ARR13(i7127 <= 0 && i6133 > 0 && i6133 < i4 && i6160 > 0 && i6133 + 1 > 0, java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(Tree(o37343, java.lang.Object(Tree(o44917Field0, o44917Field1)))), java.lang.Object(java.lang.String(i7127)))
Cond_Load23089ARR13(TRUE, java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(Tree(o37343, java.lang.Object(Tree(o44917Field0, o44917Field1)))), java.lang.Object(java.lang.String(i7127))) → Inc28334(java.lang.Object(ARRAY(i4, a45013data)), i6133 + 1, i6160, java.lang.Object(Tree(o37343, java.lang.Object(Tree(o44917Field0, o44917Field1)))), java.lang.Object(Tree(o44917Field0, o44917Field1)))
JMP31361(java.lang.Object(ARRAY(i4, a45013data)), i6441, i6160, java.lang.Object(Tree(o37343, o37344))) → Inc31567(java.lang.Object(ARRAY(i4, a45013data)), i6441, i6160, java.lang.Object(Tree(o37343, o37344)))
Load23089(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(Tree(o37343, o37344)), java.lang.Object(Tree(o44498, NULL))) → Load23089ARR14(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(Tree(o37343, o37344)), java.lang.Object(Tree(o44498, NULL)), java.lang.Object(java.lang.String(i7127)))
Load23089ARR14(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(Tree(o37343, o37344)), java.lang.Object(Tree(o44498, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(i7127))) → Cond_Load23089ARR14(i7127 <= 0 && i6133 > 0 && i6133 < i4 && i6160 > 0 && i6133 + 1 > 0, java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(Tree(o37343, o37344)), java.lang.Object(Tree(o44498, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(i7127)))
Cond_Load23089ARR14(TRUE, java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(Tree(o37343, o37344)), java.lang.Object(Tree(o44498, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(i7127))) → Inc31567(java.lang.Object(ARRAY(i4, a45013data)), i6133 + 1, i6160, o37342new)
Load23089(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(Tree(NULL, o37344)), java.lang.Object(Tree(NULL, o37344))) → Load23089ARR15(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(Tree(NULL, o37344)), java.lang.Object(java.lang.String(i7126)))
Load23089ARR15(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o37344)), java.lang.Object(java.lang.String(i7126))) → Cond_Load23089ARR15(i7126 > 0 && i6133 > 0 && i6133 < i4 && i6160 > 0 && i6133 + 1 > 0, java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o37344)), java.lang.Object(java.lang.String(i7126)))
Cond_Load23089ARR15(TRUE, java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o37344)), java.lang.Object(java.lang.String(i7126))) → JMP31316(java.lang.Object(ARRAY(i4, a45013data)), i6133 + 1, i6160, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o37344)))
Load23089(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(Tree(o37343, NULL)), java.lang.Object(Tree(o37343, NULL))) → Load23089ARR16(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(Tree(o37343, NULL)), java.lang.Object(java.lang.String(i7127)))
Load23089ARR16(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(Tree(o37343, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(i7127))) → Cond_Load23089ARR16(i7127 <= 0 && i6133 > 0 && i6133 < i4 && i6160 > 0 && i6133 + 1 > 0, java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(Tree(o37343, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(i7127)))
Cond_Load23089ARR16(TRUE, java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(Tree(o37343, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(i7127))) → JMP31361(java.lang.Object(ARRAY(i4, a45013data)), i6133 + 1, i6160, java.lang.Object(Tree(o37343, java.lang.Object(Tree(NULL, NULL)))))
The set Q consists of the following terms:
Load23089ARR9(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(java.lang.Object(Tree(x4, x5)), x6)), java.lang.Object(java.lang.String(x7)))
Cond_Load23089ARR9(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(java.lang.Object(Tree(x4, x5)), x6)), java.lang.Object(java.lang.String(x7)))
Inc28334(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x6, x7)))
Load23089(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x6, java.lang.Object(Tree(x7, x8)))))
Load23089ARR10(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x6, java.lang.Object(Tree(x7, x8)))), java.lang.Object(java.lang.String(x9)))
Cond_Load23089ARR10(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x6, java.lang.Object(Tree(x7, x8)))), java.lang.Object(java.lang.String(x9)))
Inc31567(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)))
JMP31316(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)))
Load23089(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(NULL, x6)))
Load23089ARR11(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), x6)), java.lang.Object(java.lang.String(x7)))
Cond_Load23089ARR11(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), x6)), java.lang.Object(java.lang.String(x7)))
JMP28245(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x6, x7)))
Load23089(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(java.lang.Object(Tree(x6, x7)), x8)))
Load23089ARR12(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(java.lang.Object(Tree(x6, x7)), x8)), java.lang.Object(java.lang.String(x9)))
Cond_Load23089ARR12(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(java.lang.Object(Tree(x6, x7)), x8)), java.lang.Object(java.lang.String(x9)))
Load23089ARR13(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, java.lang.Object(Tree(x5, x6)))), java.lang.Object(java.lang.String(x7)))
Cond_Load23089ARR13(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, java.lang.Object(Tree(x5, x6)))), java.lang.Object(java.lang.String(x7)))
JMP31361(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)))
Load23089(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x6, NULL)))
Load23089ARR14(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x6, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(x7)))
Cond_Load23089ARR14(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x6, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(x7)))
Load23089ARR15(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), x4)), java.lang.Object(java.lang.String(x5)))
Cond_Load23089ARR15(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), x4)), java.lang.Object(java.lang.String(x5)))
Load23089ARR16(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(x5)))
Cond_Load23089ARR16(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(x5)))

(42) ITRSFilterProcessorProof (SOUND transformation)

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

Load23089(x1, x2, x3, x4, x5) → Load23089(x1, x2, x3)
Tree(x1, x2) → Tree
Load23089ARR9(x1, x2, x3, x4, x5) → Load23089ARR9(x1, x2, x3, x5)
Cond_Load23089ARR9(x1, x2, x3, x4, x5, x6) → Cond_Load23089ARR9(x1, x2, x3, x4, x6)
JMP28245(x1, x2, x3, x4, x5) → JMP28245(x1, x2, x3)
Inc28334(x1, x2, x3, x4, x5) → Inc28334(x1, x2, x3)
Load23089ARR10(x1, x2, x3, x4, x5, x6) → Load23089ARR10(x1, x2, x3, x6)
Cond_Load23089ARR10(x1, x2, x3, x4, x5, x6, x7) → Cond_Load23089ARR10(x1, x2, x3, x4, x7)
Inc31567(x1, x2, x3, x4) → Inc31567(x1, x2, x3)
JMP31316(x1, x2, x3, x4) → JMP31316(x1, x2, x3)
Load23089ARR11(x1, x2, x3, x4, x5, x6) → Load23089ARR11(x1, x2, x3, x6)
Cond_Load23089ARR11(x1, x2, x3, x4, x5, x6, x7) → Cond_Load23089ARR11(x1, x2, x3, x4, x7)
Load23089ARR12(x1, x2, x3, x4, x5, x6) → Load23089ARR12(x1, x2, x3, x6)
Cond_Load23089ARR12(x1, x2, x3, x4, x5, x6, x7) → Cond_Load23089ARR12(x1, x2, x3, x4, x7)
Load23089ARR13(x1, x2, x3, x4, x5) → Load23089ARR13(x1, x2, x3, x5)
Cond_Load23089ARR13(x1, x2, x3, x4, x5, x6) → Cond_Load23089ARR13(x1, x2, x3, x4, x6)
JMP31361(x1, x2, x3, x4) → JMP31361(x1, x2, x3)
Load23089ARR14(x1, x2, x3, x4, x5, x6) → Load23089ARR14(x1, x2, x3, x6)
Cond_Load23089ARR14(x1, x2, x3, x4, x5, x6, x7) → Cond_Load23089ARR14(x1, x2, x3, x4, x7)
Load23089ARR15(x1, x2, x3, x4, x5) → Load23089ARR15(x1, x2, x3, x5)
Cond_Load23089ARR15(x1, x2, x3, x4, x5, x6) → Cond_Load23089ARR15(x1, x2, x3, x4, x6)
Load23089ARR16(x1, x2, x3, x4, x5) → Load23089ARR16(x1, x2, x3, x5)
Cond_Load23089ARR16(x1, x2, x3, x4, x5, x6) → Cond_Load23089ARR16(x1, x2, x3, x4, x6)

(43) Obligation:

ITRS problem:

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

The TRS R consists of the following rules:
Load23089(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160) → Load23089ARR9(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7126)))
Load23089ARR9(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7126))) → Cond_Load23089ARR9(i7126 > 0 && i6133 > 0 && i6133 < i4 && i6160 > 0 && i6133 + 1 > 0, java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7126)))
Cond_Load23089ARR9(TRUE, java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7126))) → JMP28245(java.lang.Object(ARRAY(i4, a45013data)), i6133 + 1, i6160)
Inc28334(java.lang.Object(ARRAY(i4, a45013data)), i6441, i6160) → Load23089(java.lang.Object(ARRAY(i4, a45013data)), i6441, i6160 + -1)
Load23089(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160) → Load23089ARR10(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7127)))
Load23089ARR10(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7127))) → Cond_Load23089ARR10(i7127 <= 0 && i6133 > 0 && i6133 < i4 && i6160 > 0 && i6133 + 1 > 0, java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7127)))
Cond_Load23089ARR10(TRUE, java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7127))) → Load23089(java.lang.Object(ARRAY(i4, a45013data)), i6133 + 1, i6160 + -1)
Inc31567(java.lang.Object(ARRAY(i4, a45013data)), i6441, i6160) → Load23089(java.lang.Object(ARRAY(i4, a45013data)), i6441, i6160 + -1)
JMP31316(java.lang.Object(ARRAY(i4, a45013data)), i6441, i6160) → Load23089(java.lang.Object(ARRAY(i4, a45013data)), i6441, i6160 + -1)
Load23089(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160) → Load23089ARR11(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7126)))
Load23089ARR11(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7126))) → Cond_Load23089ARR11(i7126 > 0 && i6133 > 0 && i6133 < i4 && i6160 > 0 && i6133 + 1 > 0, java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7126)))
Cond_Load23089ARR11(TRUE, java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7126))) → Load23089(java.lang.Object(ARRAY(i4, a45013data)), i6133 + 1, i6160 + -1)
JMP28245(java.lang.Object(ARRAY(i4, a45013data)), i6441, i6160) → Inc28334(java.lang.Object(ARRAY(i4, a45013data)), i6441, i6160)
Load23089(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160) → Load23089ARR12(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7126)))
Load23089ARR12(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7126))) → Cond_Load23089ARR12(i7126 > 0 && i6133 > 0 && i6133 < i4 && i6160 > 0 && i6133 + 1 > 0, java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7126)))
Cond_Load23089ARR12(TRUE, java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7126))) → Inc28334(java.lang.Object(ARRAY(i4, a45013data)), i6133 + 1, i6160)
Load23089(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160) → Load23089ARR13(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7127)))
Load23089ARR13(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7127))) → Cond_Load23089ARR13(i7127 <= 0 && i6133 > 0 && i6133 < i4 && i6160 > 0 && i6133 + 1 > 0, java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7127)))
Cond_Load23089ARR13(TRUE, java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7127))) → Inc28334(java.lang.Object(ARRAY(i4, a45013data)), i6133 + 1, i6160)
JMP31361(java.lang.Object(ARRAY(i4, a45013data)), i6441, i6160) → Inc31567(java.lang.Object(ARRAY(i4, a45013data)), i6441, i6160)
Load23089(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160) → Load23089ARR14(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7127)))
Load23089ARR14(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7127))) → Cond_Load23089ARR14(i7127 <= 0 && i6133 > 0 && i6133 < i4 && i6160 > 0 && i6133 + 1 > 0, java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7127)))
Cond_Load23089ARR14(TRUE, java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7127))) → Inc31567(java.lang.Object(ARRAY(i4, a45013data)), i6133 + 1, i6160)
Load23089(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160) → Load23089ARR15(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7126)))
Load23089ARR15(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7126))) → Cond_Load23089ARR15(i7126 > 0 && i6133 > 0 && i6133 < i4 && i6160 > 0 && i6133 + 1 > 0, java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7126)))
Cond_Load23089ARR15(TRUE, java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7126))) → JMP31316(java.lang.Object(ARRAY(i4, a45013data)), i6133 + 1, i6160)
Load23089(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160) → Load23089ARR16(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7127)))
Load23089ARR16(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7127))) → Cond_Load23089ARR16(i7127 <= 0 && i6133 > 0 && i6133 < i4 && i6160 > 0 && i6133 + 1 > 0, java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7127)))
Cond_Load23089ARR16(TRUE, java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7127))) → JMP31361(java.lang.Object(ARRAY(i4, a45013data)), i6133 + 1, i6160)
The set Q consists of the following terms:
Load23089(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load23089ARR9(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load23089ARR9(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Inc28334(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load23089ARR10(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load23089ARR10(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Inc31567(java.lang.Object(ARRAY(x0, x1)), x2, x3)
JMP31316(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load23089ARR11(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load23089ARR11(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
JMP28245(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load23089ARR12(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load23089ARR12(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Load23089ARR13(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load23089ARR13(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
JMP31361(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load23089ARR14(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load23089ARR14(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Load23089ARR15(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load23089ARR15(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Load23089ARR16(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load23089ARR16(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))

(44) ITRSFSMergerProof (SOUND transformation)

The following function symbols have been merged:

Load23089ARR12, Load23089ARR15
 > Load23089ARR12_4

Cond_Load23089ARR12, Cond_Load23089ARR15
 > Cond_Load23089ARR12_5

Inc28334, Inc31567, JMP31316
 > Inc28334_3

Load23089ARR13, Load23089ARR14
 > Load23089ARR13_4

JMP28245, JMP31361
 > JMP28245_3

Cond_Load23089ARR13, Cond_Load23089ARR14
 > Cond_Load23089ARR13_5

(45) Obligation:

ITRS problem:

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

The TRS R consists of the following rules:
Load23089(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160) → Load23089ARR9(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7126)))
Load23089ARR9(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7126))) → Cond_Load23089ARR9(i7126 > 0 && i6133 > 0 && i6133 < i4 && i6160 > 0 && i6133 + 1 > 0, java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7126)))
Cond_Load23089ARR9(TRUE, java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7126))) → JMP28245(java.lang.Object(ARRAY(i4, a45013data)), i6133 + 1, i6160)
Inc28334(java.lang.Object(ARRAY(i4, a45013data)), i6441, i6160) → Load23089(java.lang.Object(ARRAY(i4, a45013data)), i6441, i6160 + -1)
Load23089(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160) → Load23089ARR10(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7127)))
Load23089ARR10(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7127))) → Cond_Load23089ARR10(i7127 <= 0 && i6133 > 0 && i6133 < i4 && i6160 > 0 && i6133 + 1 > 0, java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7127)))
Cond_Load23089ARR10(TRUE, java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7127))) → Load23089(java.lang.Object(ARRAY(i4, a45013data)), i6133 + 1, i6160 + -1)
Load23089(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160) → Load23089ARR11(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7126)))
Load23089ARR11(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7126))) → Cond_Load23089ARR11(i7126 > 0 && i6133 > 0 && i6133 < i4 && i6160 > 0 && i6133 + 1 > 0, java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7126)))
Cond_Load23089ARR11(TRUE, java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7126))) → Load23089(java.lang.Object(ARRAY(i4, a45013data)), i6133 + 1, i6160 + -1)
JMP28245(java.lang.Object(ARRAY(i4, a45013data)), i6441, i6160) → Inc28334(java.lang.Object(ARRAY(i4, a45013data)), i6441, i6160)
Load23089(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160) → Load23089ARR12(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7126)))
Load23089ARR12(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7126))) → Cond_Load23089ARR12(i7126 > 0 && i6133 > 0 && i6133 < i4 && i6160 > 0 && i6133 + 1 > 0, java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7126)))
Cond_Load23089ARR12(TRUE, java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7126))) → Inc28334(java.lang.Object(ARRAY(i4, a45013data)), i6133 + 1, i6160)
Load23089(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160) → Load23089ARR13(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7127)))
Load23089ARR13(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7127))) → Cond_Load23089ARR13(i7127 <= 0 && i6133 > 0 && i6133 < i4 && i6160 > 0 && i6133 + 1 > 0, java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7127)))
Cond_Load23089ARR13(TRUE, java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7127))) → Inc28334(java.lang.Object(ARRAY(i4, a45013data)), i6133 + 1, i6160)
Load23089(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160) → Load23089ARR16(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7127)))
Load23089ARR16(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7127))) → Cond_Load23089ARR16(i7127 <= 0 && i6133 > 0 && i6133 < i4 && i6160 > 0 && i6133 + 1 > 0, java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7127)))
Cond_Load23089ARR16(TRUE, java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7127))) → JMP28245(java.lang.Object(ARRAY(i4, a45013data)), i6133 + 1, i6160)
The set Q consists of the following terms:
Load23089(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load23089ARR9(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load23089ARR9(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Inc28334(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load23089ARR10(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load23089ARR10(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Load23089ARR11(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load23089ARR11(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
JMP28245(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load23089ARR12(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load23089ARR12(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Load23089ARR13(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load23089ARR13(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Load23089ARR16(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load23089ARR16(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))

(46) ITRStoIDPProof (EQUIVALENT transformation)

Added dependency pairs

(47) Obligation:

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


The following domains are used:

Boolean, Integer


The ITRS R consists of the following rules:
Load23089(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160) → Load23089ARR9(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7126)))
Load23089ARR9(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7126))) → Cond_Load23089ARR9(i7126 > 0 && i6133 > 0 && i6133 < i4 && i6160 > 0 && i6133 + 1 > 0, java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7126)))
Cond_Load23089ARR9(TRUE, java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7126))) → JMP28245(java.lang.Object(ARRAY(i4, a45013data)), i6133 + 1, i6160)
Inc28334(java.lang.Object(ARRAY(i4, a45013data)), i6441, i6160) → Load23089(java.lang.Object(ARRAY(i4, a45013data)), i6441, i6160 + -1)
Load23089(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160) → Load23089ARR10(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7127)))
Load23089ARR10(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7127))) → Cond_Load23089ARR10(i7127 <= 0 && i6133 > 0 && i6133 < i4 && i6160 > 0 && i6133 + 1 > 0, java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7127)))
Cond_Load23089ARR10(TRUE, java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7127))) → Load23089(java.lang.Object(ARRAY(i4, a45013data)), i6133 + 1, i6160 + -1)
Load23089(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160) → Load23089ARR11(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7126)))
Load23089ARR11(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7126))) → Cond_Load23089ARR11(i7126 > 0 && i6133 > 0 && i6133 < i4 && i6160 > 0 && i6133 + 1 > 0, java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7126)))
Cond_Load23089ARR11(TRUE, java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7126))) → Load23089(java.lang.Object(ARRAY(i4, a45013data)), i6133 + 1, i6160 + -1)
JMP28245(java.lang.Object(ARRAY(i4, a45013data)), i6441, i6160) → Inc28334(java.lang.Object(ARRAY(i4, a45013data)), i6441, i6160)
Load23089(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160) → Load23089ARR12(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7126)))
Load23089ARR12(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7126))) → Cond_Load23089ARR12(i7126 > 0 && i6133 > 0 && i6133 < i4 && i6160 > 0 && i6133 + 1 > 0, java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7126)))
Cond_Load23089ARR12(TRUE, java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7126))) → Inc28334(java.lang.Object(ARRAY(i4, a45013data)), i6133 + 1, i6160)
Load23089(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160) → Load23089ARR13(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7127)))
Load23089ARR13(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7127))) → Cond_Load23089ARR13(i7127 <= 0 && i6133 > 0 && i6133 < i4 && i6160 > 0 && i6133 + 1 > 0, java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7127)))
Cond_Load23089ARR13(TRUE, java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7127))) → Inc28334(java.lang.Object(ARRAY(i4, a45013data)), i6133 + 1, i6160)
Load23089(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160) → Load23089ARR16(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7127)))
Load23089ARR16(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7127))) → Cond_Load23089ARR16(i7127 <= 0 && i6133 > 0 && i6133 < i4 && i6160 > 0 && i6133 + 1 > 0, java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7127)))
Cond_Load23089ARR16(TRUE, java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7127))) → JMP28245(java.lang.Object(ARRAY(i4, a45013data)), i6133 + 1, i6160)

The integer pair graph contains the following rules and edges:
(0): LOAD23089(java.lang.Object(ARRAY(i4[0], a45013data[0])), i6133[0], i6160[0]) → LOAD23089ARR9(java.lang.Object(ARRAY(i4[0], a45013data[0])), i6133[0], i6160[0], java.lang.Object(java.lang.String(i7126[0])))
(1): LOAD23089ARR9(java.lang.Object(ARRAY(i4[1], a45013data[1])), i6133[1], i6160[1], java.lang.Object(java.lang.String(i7126[1]))) → COND_LOAD23089ARR9(i7126[1] > 0 && i6133[1] > 0 && i6133[1] < i4[1] && i6160[1] > 0 && i6133[1] + 1 > 0, java.lang.Object(ARRAY(i4[1], a45013data[1])), i6133[1], i6160[1], java.lang.Object(java.lang.String(i7126[1])))
(2): COND_LOAD23089ARR9(TRUE, java.lang.Object(ARRAY(i4[2], a45013data[2])), i6133[2], i6160[2], java.lang.Object(java.lang.String(i7126[2]))) → JMP28245'(java.lang.Object(ARRAY(i4[2], a45013data[2])), i6133[2] + 1, i6160[2])
(3): INC28334(java.lang.Object(ARRAY(i4[3], a45013data[3])), i6441[3], i6160[3]) → LOAD23089(java.lang.Object(ARRAY(i4[3], a45013data[3])), i6441[3], i6160[3] + -1)
(4): LOAD23089(java.lang.Object(ARRAY(i4[4], a45013data[4])), i6133[4], i6160[4]) → LOAD23089ARR10(java.lang.Object(ARRAY(i4[4], a45013data[4])), i6133[4], i6160[4], java.lang.Object(java.lang.String(i7127[4])))
(5): LOAD23089ARR10(java.lang.Object(ARRAY(i4[5], a45013data[5])), i6133[5], i6160[5], java.lang.Object(java.lang.String(i7127[5]))) → COND_LOAD23089ARR10(i7127[5] <= 0 && i6133[5] > 0 && i6133[5] < i4[5] && i6160[5] > 0 && i6133[5] + 1 > 0, java.lang.Object(ARRAY(i4[5], a45013data[5])), i6133[5], i6160[5], java.lang.Object(java.lang.String(i7127[5])))
(6): COND_LOAD23089ARR10(TRUE, java.lang.Object(ARRAY(i4[6], a45013data[6])), i6133[6], i6160[6], java.lang.Object(java.lang.String(i7127[6]))) → LOAD23089(java.lang.Object(ARRAY(i4[6], a45013data[6])), i6133[6] + 1, i6160[6] + -1)
(7): LOAD23089(java.lang.Object(ARRAY(i4[7], a45013data[7])), i6133[7], i6160[7]) → LOAD23089ARR11(java.lang.Object(ARRAY(i4[7], a45013data[7])), i6133[7], i6160[7], java.lang.Object(java.lang.String(i7126[7])))
(8): LOAD23089ARR11(java.lang.Object(ARRAY(i4[8], a45013data[8])), i6133[8], i6160[8], java.lang.Object(java.lang.String(i7126[8]))) → COND_LOAD23089ARR11(i7126[8] > 0 && i6133[8] > 0 && i6133[8] < i4[8] && i6160[8] > 0 && i6133[8] + 1 > 0, java.lang.Object(ARRAY(i4[8], a45013data[8])), i6133[8], i6160[8], java.lang.Object(java.lang.String(i7126[8])))
(9): COND_LOAD23089ARR11(TRUE, java.lang.Object(ARRAY(i4[9], a45013data[9])), i6133[9], i6160[9], java.lang.Object(java.lang.String(i7126[9]))) → LOAD23089(java.lang.Object(ARRAY(i4[9], a45013data[9])), i6133[9] + 1, i6160[9] + -1)
(10): JMP28245'(java.lang.Object(ARRAY(i4[10], a45013data[10])), i6441[10], i6160[10]) → INC28334(java.lang.Object(ARRAY(i4[10], a45013data[10])), i6441[10], i6160[10])
(11): LOAD23089(java.lang.Object(ARRAY(i4[11], a45013data[11])), i6133[11], i6160[11]) → LOAD23089ARR12(java.lang.Object(ARRAY(i4[11], a45013data[11])), i6133[11], i6160[11], java.lang.Object(java.lang.String(i7126[11])))
(12): LOAD23089ARR12(java.lang.Object(ARRAY(i4[12], a45013data[12])), i6133[12], i6160[12], java.lang.Object(java.lang.String(i7126[12]))) → COND_LOAD23089ARR12(i7126[12] > 0 && i6133[12] > 0 && i6133[12] < i4[12] && i6160[12] > 0 && i6133[12] + 1 > 0, java.lang.Object(ARRAY(i4[12], a45013data[12])), i6133[12], i6160[12], java.lang.Object(java.lang.String(i7126[12])))
(13): COND_LOAD23089ARR12(TRUE, java.lang.Object(ARRAY(i4[13], a45013data[13])), i6133[13], i6160[13], java.lang.Object(java.lang.String(i7126[13]))) → INC28334(java.lang.Object(ARRAY(i4[13], a45013data[13])), i6133[13] + 1, i6160[13])
(14): LOAD23089(java.lang.Object(ARRAY(i4[14], a45013data[14])), i6133[14], i6160[14]) → LOAD23089ARR13(java.lang.Object(ARRAY(i4[14], a45013data[14])), i6133[14], i6160[14], java.lang.Object(java.lang.String(i7127[14])))
(15): LOAD23089ARR13(java.lang.Object(ARRAY(i4[15], a45013data[15])), i6133[15], i6160[15], java.lang.Object(java.lang.String(i7127[15]))) → COND_LOAD23089ARR13(i7127[15] <= 0 && i6133[15] > 0 && i6133[15] < i4[15] && i6160[15] > 0 && i6133[15] + 1 > 0, java.lang.Object(ARRAY(i4[15], a45013data[15])), i6133[15], i6160[15], java.lang.Object(java.lang.String(i7127[15])))
(16): COND_LOAD23089ARR13(TRUE, java.lang.Object(ARRAY(i4[16], a45013data[16])), i6133[16], i6160[16], java.lang.Object(java.lang.String(i7127[16]))) → INC28334(java.lang.Object(ARRAY(i4[16], a45013data[16])), i6133[16] + 1, i6160[16])
(17): LOAD23089(java.lang.Object(ARRAY(i4[17], a45013data[17])), i6133[17], i6160[17]) → LOAD23089ARR16(java.lang.Object(ARRAY(i4[17], a45013data[17])), i6133[17], i6160[17], java.lang.Object(java.lang.String(i7127[17])))
(18): LOAD23089ARR16(java.lang.Object(ARRAY(i4[18], a45013data[18])), i6133[18], i6160[18], java.lang.Object(java.lang.String(i7127[18]))) → COND_LOAD23089ARR16(i7127[18] <= 0 && i6133[18] > 0 && i6133[18] < i4[18] && i6160[18] > 0 && i6133[18] + 1 > 0, java.lang.Object(ARRAY(i4[18], a45013data[18])), i6133[18], i6160[18], java.lang.Object(java.lang.String(i7127[18])))
(19): COND_LOAD23089ARR16(TRUE, java.lang.Object(ARRAY(i4[19], a45013data[19])), i6133[19], i6160[19], java.lang.Object(java.lang.String(i7127[19]))) → JMP28245'(java.lang.Object(ARRAY(i4[19], a45013data[19])), i6133[19] + 1, i6160[19])

(0) -> (1), if ((java.lang.Object(java.lang.String(i7126[0])) →* java.lang.Object(java.lang.String(i7126[1])))∧(i6160[0] →* i6160[1])∧(java.lang.Object(ARRAY(i4[0], a45013data[0])) →* java.lang.Object(ARRAY(i4[1], a45013data[1])))∧(i6133[0] →* i6133[1]))


(1) -> (2), if ((java.lang.Object(java.lang.String(i7126[1])) →* java.lang.Object(java.lang.String(i7126[2])))∧(java.lang.Object(ARRAY(i4[1], a45013data[1])) →* java.lang.Object(ARRAY(i4[2], a45013data[2])))∧(i6160[1] →* i6160[2])∧(i6133[1] →* i6133[2])∧(i7126[1] > 0 && i6133[1] > 0 && i6133[1] < i4[1] && i6160[1] > 0 && i6133[1] + 1 > 0 →* TRUE))


(2) -> (10), if ((java.lang.Object(ARRAY(i4[2], a45013data[2])) →* java.lang.Object(ARRAY(i4[10], a45013data[10])))∧(i6160[2] →* i6160[10])∧(i6133[2] + 1 →* i6441[10]))


(3) -> (0), if ((i6160[3] + -1 →* i6160[0])∧(i6441[3] →* i6133[0])∧(java.lang.Object(ARRAY(i4[3], a45013data[3])) →* java.lang.Object(ARRAY(i4[0], a45013data[0]))))


(3) -> (4), if ((java.lang.Object(ARRAY(i4[3], a45013data[3])) →* java.lang.Object(ARRAY(i4[4], a45013data[4])))∧(i6441[3] →* i6133[4])∧(i6160[3] + -1 →* i6160[4]))


(3) -> (7), if ((i6441[3] →* i6133[7])∧(java.lang.Object(ARRAY(i4[3], a45013data[3])) →* java.lang.Object(ARRAY(i4[7], a45013data[7])))∧(i6160[3] + -1 →* i6160[7]))


(3) -> (11), if ((i6160[3] + -1 →* i6160[11])∧(java.lang.Object(ARRAY(i4[3], a45013data[3])) →* java.lang.Object(ARRAY(i4[11], a45013data[11])))∧(i6441[3] →* i6133[11]))


(3) -> (14), if ((i6441[3] →* i6133[14])∧(java.lang.Object(ARRAY(i4[3], a45013data[3])) →* java.lang.Object(ARRAY(i4[14], a45013data[14])))∧(i6160[3] + -1 →* i6160[14]))


(3) -> (17), if ((i6441[3] →* i6133[17])∧(java.lang.Object(ARRAY(i4[3], a45013data[3])) →* java.lang.Object(ARRAY(i4[17], a45013data[17])))∧(i6160[3] + -1 →* i6160[17]))


(4) -> (5), if ((i6133[4] →* i6133[5])∧(java.lang.Object(java.lang.String(i7127[4])) →* java.lang.Object(java.lang.String(i7127[5])))∧(i6160[4] →* i6160[5])∧(java.lang.Object(ARRAY(i4[4], a45013data[4])) →* java.lang.Object(ARRAY(i4[5], a45013data[5]))))


(5) -> (6), if ((java.lang.Object(java.lang.String(i7127[5])) →* java.lang.Object(java.lang.String(i7127[6])))∧(i6160[5] →* i6160[6])∧(i7127[5] <= 0 && i6133[5] > 0 && i6133[5] < i4[5] && i6160[5] > 0 && i6133[5] + 1 > 0 →* TRUE)∧(i6133[5] →* i6133[6])∧(java.lang.Object(ARRAY(i4[5], a45013data[5])) →* java.lang.Object(ARRAY(i4[6], a45013data[6]))))


(6) -> (0), if ((i6160[6] + -1 →* i6160[0])∧(java.lang.Object(ARRAY(i4[6], a45013data[6])) →* java.lang.Object(ARRAY(i4[0], a45013data[0])))∧(i6133[6] + 1 →* i6133[0]))


(6) -> (4), if ((java.lang.Object(ARRAY(i4[6], a45013data[6])) →* java.lang.Object(ARRAY(i4[4], a45013data[4])))∧(i6133[6] + 1 →* i6133[4])∧(i6160[6] + -1 →* i6160[4]))


(6) -> (7), if ((java.lang.Object(ARRAY(i4[6], a45013data[6])) →* java.lang.Object(ARRAY(i4[7], a45013data[7])))∧(i6160[6] + -1 →* i6160[7])∧(i6133[6] + 1 →* i6133[7]))


(6) -> (11), if ((java.lang.Object(ARRAY(i4[6], a45013data[6])) →* java.lang.Object(ARRAY(i4[11], a45013data[11])))∧(i6133[6] + 1 →* i6133[11])∧(i6160[6] + -1 →* i6160[11]))


(6) -> (14), if ((java.lang.Object(ARRAY(i4[6], a45013data[6])) →* java.lang.Object(ARRAY(i4[14], a45013data[14])))∧(i6160[6] + -1 →* i6160[14])∧(i6133[6] + 1 →* i6133[14]))


(6) -> (17), if ((i6160[6] + -1 →* i6160[17])∧(java.lang.Object(ARRAY(i4[6], a45013data[6])) →* java.lang.Object(ARRAY(i4[17], a45013data[17])))∧(i6133[6] + 1 →* i6133[17]))


(7) -> (8), if ((java.lang.Object(java.lang.String(i7126[7])) →* java.lang.Object(java.lang.String(i7126[8])))∧(i6133[7] →* i6133[8])∧(java.lang.Object(ARRAY(i4[7], a45013data[7])) →* java.lang.Object(ARRAY(i4[8], a45013data[8])))∧(i6160[7] →* i6160[8]))


(8) -> (9), if ((i6133[8] →* i6133[9])∧(i6160[8] →* i6160[9])∧(java.lang.Object(ARRAY(i4[8], a45013data[8])) →* java.lang.Object(ARRAY(i4[9], a45013data[9])))∧(i7126[8] > 0 && i6133[8] > 0 && i6133[8] < i4[8] && i6160[8] > 0 && i6133[8] + 1 > 0 →* TRUE)∧(java.lang.Object(java.lang.String(i7126[8])) →* java.lang.Object(java.lang.String(i7126[9]))))


(9) -> (0), if ((i6160[9] + -1 →* i6160[0])∧(i6133[9] + 1 →* i6133[0])∧(java.lang.Object(ARRAY(i4[9], a45013data[9])) →* java.lang.Object(ARRAY(i4[0], a45013data[0]))))


(9) -> (4), if ((i6133[9] + 1 →* i6133[4])∧(i6160[9] + -1 →* i6160[4])∧(java.lang.Object(ARRAY(i4[9], a45013data[9])) →* java.lang.Object(ARRAY(i4[4], a45013data[4]))))


(9) -> (7), if ((i6133[9] + 1 →* i6133[7])∧(i6160[9] + -1 →* i6160[7])∧(java.lang.Object(ARRAY(i4[9], a45013data[9])) →* java.lang.Object(ARRAY(i4[7], a45013data[7]))))


(9) -> (11), if ((i6160[9] + -1 →* i6160[11])∧(i6133[9] + 1 →* i6133[11])∧(java.lang.Object(ARRAY(i4[9], a45013data[9])) →* java.lang.Object(ARRAY(i4[11], a45013data[11]))))


(9) -> (14), if ((i6160[9] + -1 →* i6160[14])∧(java.lang.Object(ARRAY(i4[9], a45013data[9])) →* java.lang.Object(ARRAY(i4[14], a45013data[14])))∧(i6133[9] + 1 →* i6133[14]))


(9) -> (17), if ((java.lang.Object(ARRAY(i4[9], a45013data[9])) →* java.lang.Object(ARRAY(i4[17], a45013data[17])))∧(i6160[9] + -1 →* i6160[17])∧(i6133[9] + 1 →* i6133[17]))


(10) -> (3), if ((i6160[10] →* i6160[3])∧(i6441[10] →* i6441[3])∧(java.lang.Object(ARRAY(i4[10], a45013data[10])) →* java.lang.Object(ARRAY(i4[3], a45013data[3]))))


(11) -> (12), if ((java.lang.Object(java.lang.String(i7126[11])) →* java.lang.Object(java.lang.String(i7126[12])))∧(i6160[11] →* i6160[12])∧(i6133[11] →* i6133[12])∧(java.lang.Object(ARRAY(i4[11], a45013data[11])) →* java.lang.Object(ARRAY(i4[12], a45013data[12]))))


(12) -> (13), if ((i7126[12] > 0 && i6133[12] > 0 && i6133[12] < i4[12] && i6160[12] > 0 && i6133[12] + 1 > 0 →* TRUE)∧(java.lang.Object(ARRAY(i4[12], a45013data[12])) →* java.lang.Object(ARRAY(i4[13], a45013data[13])))∧(i6160[12] →* i6160[13])∧(i6133[12] →* i6133[13])∧(java.lang.Object(java.lang.String(i7126[12])) →* java.lang.Object(java.lang.String(i7126[13]))))


(13) -> (3), if ((java.lang.Object(ARRAY(i4[13], a45013data[13])) →* java.lang.Object(ARRAY(i4[3], a45013data[3])))∧(i6160[13] →* i6160[3])∧(i6133[13] + 1 →* i6441[3]))


(14) -> (15), if ((i6160[14] →* i6160[15])∧(java.lang.Object(ARRAY(i4[14], a45013data[14])) →* java.lang.Object(ARRAY(i4[15], a45013data[15])))∧(java.lang.Object(java.lang.String(i7127[14])) →* java.lang.Object(java.lang.String(i7127[15])))∧(i6133[14] →* i6133[15]))


(15) -> (16), if ((i6133[15] →* i6133[16])∧(i6160[15] →* i6160[16])∧(java.lang.Object(java.lang.String(i7127[15])) →* java.lang.Object(java.lang.String(i7127[16])))∧(i7127[15] <= 0 && i6133[15] > 0 && i6133[15] < i4[15] && i6160[15] > 0 && i6133[15] + 1 > 0 →* TRUE)∧(java.lang.Object(ARRAY(i4[15], a45013data[15])) →* java.lang.Object(ARRAY(i4[16], a45013data[16]))))


(16) -> (3), if ((i6133[16] + 1 →* i6441[3])∧(i6160[16] →* i6160[3])∧(java.lang.Object(ARRAY(i4[16], a45013data[16])) →* java.lang.Object(ARRAY(i4[3], a45013data[3]))))


(17) -> (18), if ((java.lang.Object(ARRAY(i4[17], a45013data[17])) →* java.lang.Object(ARRAY(i4[18], a45013data[18])))∧(i6133[17] →* i6133[18])∧(i6160[17] →* i6160[18])∧(java.lang.Object(java.lang.String(i7127[17])) →* java.lang.Object(java.lang.String(i7127[18]))))


(18) -> (19), if ((java.lang.Object(ARRAY(i4[18], a45013data[18])) →* java.lang.Object(ARRAY(i4[19], a45013data[19])))∧(i6160[18] →* i6160[19])∧(i6133[18] →* i6133[19])∧(i7127[18] <= 0 && i6133[18] > 0 && i6133[18] < i4[18] && i6160[18] > 0 && i6133[18] + 1 > 0 →* TRUE)∧(java.lang.Object(java.lang.String(i7127[18])) →* java.lang.Object(java.lang.String(i7127[19]))))


(19) -> (10), if ((i6133[19] + 1 →* i6441[10])∧(i6160[19] →* i6160[10])∧(java.lang.Object(ARRAY(i4[19], a45013data[19])) →* java.lang.Object(ARRAY(i4[10], a45013data[10]))))



The set Q consists of the following terms:
Load23089(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load23089ARR9(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load23089ARR9(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Inc28334(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load23089ARR10(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load23089ARR10(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Load23089ARR11(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load23089ARR11(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
JMP28245(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load23089ARR12(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load23089ARR12(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Load23089ARR13(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load23089ARR13(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Load23089ARR16(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load23089ARR16(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))

(48) 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.

(49) Obligation:

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


The following domains are used:

Boolean, Integer


R is empty.

The integer pair graph contains the following rules and edges:
(0): LOAD23089(java.lang.Object(ARRAY(i4[0], a45013data[0])), i6133[0], i6160[0]) → LOAD23089ARR9(java.lang.Object(ARRAY(i4[0], a45013data[0])), i6133[0], i6160[0], java.lang.Object(java.lang.String(i7126[0])))
(1): LOAD23089ARR9(java.lang.Object(ARRAY(i4[1], a45013data[1])), i6133[1], i6160[1], java.lang.Object(java.lang.String(i7126[1]))) → COND_LOAD23089ARR9(i7126[1] > 0 && i6133[1] > 0 && i6133[1] < i4[1] && i6160[1] > 0 && i6133[1] + 1 > 0, java.lang.Object(ARRAY(i4[1], a45013data[1])), i6133[1], i6160[1], java.lang.Object(java.lang.String(i7126[1])))
(2): COND_LOAD23089ARR9(TRUE, java.lang.Object(ARRAY(i4[2], a45013data[2])), i6133[2], i6160[2], java.lang.Object(java.lang.String(i7126[2]))) → JMP28245'(java.lang.Object(ARRAY(i4[2], a45013data[2])), i6133[2] + 1, i6160[2])
(3): INC28334(java.lang.Object(ARRAY(i4[3], a45013data[3])), i6441[3], i6160[3]) → LOAD23089(java.lang.Object(ARRAY(i4[3], a45013data[3])), i6441[3], i6160[3] + -1)
(4): LOAD23089(java.lang.Object(ARRAY(i4[4], a45013data[4])), i6133[4], i6160[4]) → LOAD23089ARR10(java.lang.Object(ARRAY(i4[4], a45013data[4])), i6133[4], i6160[4], java.lang.Object(java.lang.String(i7127[4])))
(5): LOAD23089ARR10(java.lang.Object(ARRAY(i4[5], a45013data[5])), i6133[5], i6160[5], java.lang.Object(java.lang.String(i7127[5]))) → COND_LOAD23089ARR10(i7127[5] <= 0 && i6133[5] > 0 && i6133[5] < i4[5] && i6160[5] > 0 && i6133[5] + 1 > 0, java.lang.Object(ARRAY(i4[5], a45013data[5])), i6133[5], i6160[5], java.lang.Object(java.lang.String(i7127[5])))
(6): COND_LOAD23089ARR10(TRUE, java.lang.Object(ARRAY(i4[6], a45013data[6])), i6133[6], i6160[6], java.lang.Object(java.lang.String(i7127[6]))) → LOAD23089(java.lang.Object(ARRAY(i4[6], a45013data[6])), i6133[6] + 1, i6160[6] + -1)
(7): LOAD23089(java.lang.Object(ARRAY(i4[7], a45013data[7])), i6133[7], i6160[7]) → LOAD23089ARR11(java.lang.Object(ARRAY(i4[7], a45013data[7])), i6133[7], i6160[7], java.lang.Object(java.lang.String(i7126[7])))
(8): LOAD23089ARR11(java.lang.Object(ARRAY(i4[8], a45013data[8])), i6133[8], i6160[8], java.lang.Object(java.lang.String(i7126[8]))) → COND_LOAD23089ARR11(i7126[8] > 0 && i6133[8] > 0 && i6133[8] < i4[8] && i6160[8] > 0 && i6133[8] + 1 > 0, java.lang.Object(ARRAY(i4[8], a45013data[8])), i6133[8], i6160[8], java.lang.Object(java.lang.String(i7126[8])))
(9): COND_LOAD23089ARR11(TRUE, java.lang.Object(ARRAY(i4[9], a45013data[9])), i6133[9], i6160[9], java.lang.Object(java.lang.String(i7126[9]))) → LOAD23089(java.lang.Object(ARRAY(i4[9], a45013data[9])), i6133[9] + 1, i6160[9] + -1)
(10): JMP28245'(java.lang.Object(ARRAY(i4[10], a45013data[10])), i6441[10], i6160[10]) → INC28334(java.lang.Object(ARRAY(i4[10], a45013data[10])), i6441[10], i6160[10])
(11): LOAD23089(java.lang.Object(ARRAY(i4[11], a45013data[11])), i6133[11], i6160[11]) → LOAD23089ARR12(java.lang.Object(ARRAY(i4[11], a45013data[11])), i6133[11], i6160[11], java.lang.Object(java.lang.String(i7126[11])))
(12): LOAD23089ARR12(java.lang.Object(ARRAY(i4[12], a45013data[12])), i6133[12], i6160[12], java.lang.Object(java.lang.String(i7126[12]))) → COND_LOAD23089ARR12(i7126[12] > 0 && i6133[12] > 0 && i6133[12] < i4[12] && i6160[12] > 0 && i6133[12] + 1 > 0, java.lang.Object(ARRAY(i4[12], a45013data[12])), i6133[12], i6160[12], java.lang.Object(java.lang.String(i7126[12])))
(13): COND_LOAD23089ARR12(TRUE, java.lang.Object(ARRAY(i4[13], a45013data[13])), i6133[13], i6160[13], java.lang.Object(java.lang.String(i7126[13]))) → INC28334(java.lang.Object(ARRAY(i4[13], a45013data[13])), i6133[13] + 1, i6160[13])
(14): LOAD23089(java.lang.Object(ARRAY(i4[14], a45013data[14])), i6133[14], i6160[14]) → LOAD23089ARR13(java.lang.Object(ARRAY(i4[14], a45013data[14])), i6133[14], i6160[14], java.lang.Object(java.lang.String(i7127[14])))
(15): LOAD23089ARR13(java.lang.Object(ARRAY(i4[15], a45013data[15])), i6133[15], i6160[15], java.lang.Object(java.lang.String(i7127[15]))) → COND_LOAD23089ARR13(i7127[15] <= 0 && i6133[15] > 0 && i6133[15] < i4[15] && i6160[15] > 0 && i6133[15] + 1 > 0, java.lang.Object(ARRAY(i4[15], a45013data[15])), i6133[15], i6160[15], java.lang.Object(java.lang.String(i7127[15])))
(16): COND_LOAD23089ARR13(TRUE, java.lang.Object(ARRAY(i4[16], a45013data[16])), i6133[16], i6160[16], java.lang.Object(java.lang.String(i7127[16]))) → INC28334(java.lang.Object(ARRAY(i4[16], a45013data[16])), i6133[16] + 1, i6160[16])
(17): LOAD23089(java.lang.Object(ARRAY(i4[17], a45013data[17])), i6133[17], i6160[17]) → LOAD23089ARR16(java.lang.Object(ARRAY(i4[17], a45013data[17])), i6133[17], i6160[17], java.lang.Object(java.lang.String(i7127[17])))
(18): LOAD23089ARR16(java.lang.Object(ARRAY(i4[18], a45013data[18])), i6133[18], i6160[18], java.lang.Object(java.lang.String(i7127[18]))) → COND_LOAD23089ARR16(i7127[18] <= 0 && i6133[18] > 0 && i6133[18] < i4[18] && i6160[18] > 0 && i6133[18] + 1 > 0, java.lang.Object(ARRAY(i4[18], a45013data[18])), i6133[18], i6160[18], java.lang.Object(java.lang.String(i7127[18])))
(19): COND_LOAD23089ARR16(TRUE, java.lang.Object(ARRAY(i4[19], a45013data[19])), i6133[19], i6160[19], java.lang.Object(java.lang.String(i7127[19]))) → JMP28245'(java.lang.Object(ARRAY(i4[19], a45013data[19])), i6133[19] + 1, i6160[19])

(0) -> (1), if ((java.lang.Object(java.lang.String(i7126[0])) →* java.lang.Object(java.lang.String(i7126[1])))∧(i6160[0] →* i6160[1])∧(java.lang.Object(ARRAY(i4[0], a45013data[0])) →* java.lang.Object(ARRAY(i4[1], a45013data[1])))∧(i6133[0] →* i6133[1]))


(1) -> (2), if ((java.lang.Object(java.lang.String(i7126[1])) →* java.lang.Object(java.lang.String(i7126[2])))∧(java.lang.Object(ARRAY(i4[1], a45013data[1])) →* java.lang.Object(ARRAY(i4[2], a45013data[2])))∧(i6160[1] →* i6160[2])∧(i6133[1] →* i6133[2])∧(i7126[1] > 0 && i6133[1] > 0 && i6133[1] < i4[1] && i6160[1] > 0 && i6133[1] + 1 > 0 →* TRUE))


(2) -> (10), if ((java.lang.Object(ARRAY(i4[2], a45013data[2])) →* java.lang.Object(ARRAY(i4[10], a45013data[10])))∧(i6160[2] →* i6160[10])∧(i6133[2] + 1 →* i6441[10]))


(3) -> (0), if ((i6160[3] + -1 →* i6160[0])∧(i6441[3] →* i6133[0])∧(java.lang.Object(ARRAY(i4[3], a45013data[3])) →* java.lang.Object(ARRAY(i4[0], a45013data[0]))))


(3) -> (4), if ((java.lang.Object(ARRAY(i4[3], a45013data[3])) →* java.lang.Object(ARRAY(i4[4], a45013data[4])))∧(i6441[3] →* i6133[4])∧(i6160[3] + -1 →* i6160[4]))


(3) -> (7), if ((i6441[3] →* i6133[7])∧(java.lang.Object(ARRAY(i4[3], a45013data[3])) →* java.lang.Object(ARRAY(i4[7], a45013data[7])))∧(i6160[3] + -1 →* i6160[7]))


(3) -> (11), if ((i6160[3] + -1 →* i6160[11])∧(java.lang.Object(ARRAY(i4[3], a45013data[3])) →* java.lang.Object(ARRAY(i4[11], a45013data[11])))∧(i6441[3] →* i6133[11]))


(3) -> (14), if ((i6441[3] →* i6133[14])∧(java.lang.Object(ARRAY(i4[3], a45013data[3])) →* java.lang.Object(ARRAY(i4[14], a45013data[14])))∧(i6160[3] + -1 →* i6160[14]))


(3) -> (17), if ((i6441[3] →* i6133[17])∧(java.lang.Object(ARRAY(i4[3], a45013data[3])) →* java.lang.Object(ARRAY(i4[17], a45013data[17])))∧(i6160[3] + -1 →* i6160[17]))


(4) -> (5), if ((i6133[4] →* i6133[5])∧(java.lang.Object(java.lang.String(i7127[4])) →* java.lang.Object(java.lang.String(i7127[5])))∧(i6160[4] →* i6160[5])∧(java.lang.Object(ARRAY(i4[4], a45013data[4])) →* java.lang.Object(ARRAY(i4[5], a45013data[5]))))


(5) -> (6), if ((java.lang.Object(java.lang.String(i7127[5])) →* java.lang.Object(java.lang.String(i7127[6])))∧(i6160[5] →* i6160[6])∧(i7127[5] <= 0 && i6133[5] > 0 && i6133[5] < i4[5] && i6160[5] > 0 && i6133[5] + 1 > 0 →* TRUE)∧(i6133[5] →* i6133[6])∧(java.lang.Object(ARRAY(i4[5], a45013data[5])) →* java.lang.Object(ARRAY(i4[6], a45013data[6]))))


(6) -> (0), if ((i6160[6] + -1 →* i6160[0])∧(java.lang.Object(ARRAY(i4[6], a45013data[6])) →* java.lang.Object(ARRAY(i4[0], a45013data[0])))∧(i6133[6] + 1 →* i6133[0]))


(6) -> (4), if ((java.lang.Object(ARRAY(i4[6], a45013data[6])) →* java.lang.Object(ARRAY(i4[4], a45013data[4])))∧(i6133[6] + 1 →* i6133[4])∧(i6160[6] + -1 →* i6160[4]))


(6) -> (7), if ((java.lang.Object(ARRAY(i4[6], a45013data[6])) →* java.lang.Object(ARRAY(i4[7], a45013data[7])))∧(i6160[6] + -1 →* i6160[7])∧(i6133[6] + 1 →* i6133[7]))


(6) -> (11), if ((java.lang.Object(ARRAY(i4[6], a45013data[6])) →* java.lang.Object(ARRAY(i4[11], a45013data[11])))∧(i6133[6] + 1 →* i6133[11])∧(i6160[6] + -1 →* i6160[11]))


(6) -> (14), if ((java.lang.Object(ARRAY(i4[6], a45013data[6])) →* java.lang.Object(ARRAY(i4[14], a45013data[14])))∧(i6160[6] + -1 →* i6160[14])∧(i6133[6] + 1 →* i6133[14]))


(6) -> (17), if ((i6160[6] + -1 →* i6160[17])∧(java.lang.Object(ARRAY(i4[6], a45013data[6])) →* java.lang.Object(ARRAY(i4[17], a45013data[17])))∧(i6133[6] + 1 →* i6133[17]))


(7) -> (8), if ((java.lang.Object(java.lang.String(i7126[7])) →* java.lang.Object(java.lang.String(i7126[8])))∧(i6133[7] →* i6133[8])∧(java.lang.Object(ARRAY(i4[7], a45013data[7])) →* java.lang.Object(ARRAY(i4[8], a45013data[8])))∧(i6160[7] →* i6160[8]))


(8) -> (9), if ((i6133[8] →* i6133[9])∧(i6160[8] →* i6160[9])∧(java.lang.Object(ARRAY(i4[8], a45013data[8])) →* java.lang.Object(ARRAY(i4[9], a45013data[9])))∧(i7126[8] > 0 && i6133[8] > 0 && i6133[8] < i4[8] && i6160[8] > 0 && i6133[8] + 1 > 0 →* TRUE)∧(java.lang.Object(java.lang.String(i7126[8])) →* java.lang.Object(java.lang.String(i7126[9]))))


(9) -> (0), if ((i6160[9] + -1 →* i6160[0])∧(i6133[9] + 1 →* i6133[0])∧(java.lang.Object(ARRAY(i4[9], a45013data[9])) →* java.lang.Object(ARRAY(i4[0], a45013data[0]))))


(9) -> (4), if ((i6133[9] + 1 →* i6133[4])∧(i6160[9] + -1 →* i6160[4])∧(java.lang.Object(ARRAY(i4[9], a45013data[9])) →* java.lang.Object(ARRAY(i4[4], a45013data[4]))))


(9) -> (7), if ((i6133[9] + 1 →* i6133[7])∧(i6160[9] + -1 →* i6160[7])∧(java.lang.Object(ARRAY(i4[9], a45013data[9])) →* java.lang.Object(ARRAY(i4[7], a45013data[7]))))


(9) -> (11), if ((i6160[9] + -1 →* i6160[11])∧(i6133[9] + 1 →* i6133[11])∧(java.lang.Object(ARRAY(i4[9], a45013data[9])) →* java.lang.Object(ARRAY(i4[11], a45013data[11]))))


(9) -> (14), if ((i6160[9] + -1 →* i6160[14])∧(java.lang.Object(ARRAY(i4[9], a45013data[9])) →* java.lang.Object(ARRAY(i4[14], a45013data[14])))∧(i6133[9] + 1 →* i6133[14]))


(9) -> (17), if ((java.lang.Object(ARRAY(i4[9], a45013data[9])) →* java.lang.Object(ARRAY(i4[17], a45013data[17])))∧(i6160[9] + -1 →* i6160[17])∧(i6133[9] + 1 →* i6133[17]))


(10) -> (3), if ((i6160[10] →* i6160[3])∧(i6441[10] →* i6441[3])∧(java.lang.Object(ARRAY(i4[10], a45013data[10])) →* java.lang.Object(ARRAY(i4[3], a45013data[3]))))


(11) -> (12), if ((java.lang.Object(java.lang.String(i7126[11])) →* java.lang.Object(java.lang.String(i7126[12])))∧(i6160[11] →* i6160[12])∧(i6133[11] →* i6133[12])∧(java.lang.Object(ARRAY(i4[11], a45013data[11])) →* java.lang.Object(ARRAY(i4[12], a45013data[12]))))


(12) -> (13), if ((i7126[12] > 0 && i6133[12] > 0 && i6133[12] < i4[12] && i6160[12] > 0 && i6133[12] + 1 > 0 →* TRUE)∧(java.lang.Object(ARRAY(i4[12], a45013data[12])) →* java.lang.Object(ARRAY(i4[13], a45013data[13])))∧(i6160[12] →* i6160[13])∧(i6133[12] →* i6133[13])∧(java.lang.Object(java.lang.String(i7126[12])) →* java.lang.Object(java.lang.String(i7126[13]))))


(13) -> (3), if ((java.lang.Object(ARRAY(i4[13], a45013data[13])) →* java.lang.Object(ARRAY(i4[3], a45013data[3])))∧(i6160[13] →* i6160[3])∧(i6133[13] + 1 →* i6441[3]))


(14) -> (15), if ((i6160[14] →* i6160[15])∧(java.lang.Object(ARRAY(i4[14], a45013data[14])) →* java.lang.Object(ARRAY(i4[15], a45013data[15])))∧(java.lang.Object(java.lang.String(i7127[14])) →* java.lang.Object(java.lang.String(i7127[15])))∧(i6133[14] →* i6133[15]))


(15) -> (16), if ((i6133[15] →* i6133[16])∧(i6160[15] →* i6160[16])∧(java.lang.Object(java.lang.String(i7127[15])) →* java.lang.Object(java.lang.String(i7127[16])))∧(i7127[15] <= 0 && i6133[15] > 0 && i6133[15] < i4[15] && i6160[15] > 0 && i6133[15] + 1 > 0 →* TRUE)∧(java.lang.Object(ARRAY(i4[15], a45013data[15])) →* java.lang.Object(ARRAY(i4[16], a45013data[16]))))


(16) -> (3), if ((i6133[16] + 1 →* i6441[3])∧(i6160[16] →* i6160[3])∧(java.lang.Object(ARRAY(i4[16], a45013data[16])) →* java.lang.Object(ARRAY(i4[3], a45013data[3]))))


(17) -> (18), if ((java.lang.Object(ARRAY(i4[17], a45013data[17])) →* java.lang.Object(ARRAY(i4[18], a45013data[18])))∧(i6133[17] →* i6133[18])∧(i6160[17] →* i6160[18])∧(java.lang.Object(java.lang.String(i7127[17])) →* java.lang.Object(java.lang.String(i7127[18]))))


(18) -> (19), if ((java.lang.Object(ARRAY(i4[18], a45013data[18])) →* java.lang.Object(ARRAY(i4[19], a45013data[19])))∧(i6160[18] →* i6160[19])∧(i6133[18] →* i6133[19])∧(i7127[18] <= 0 && i6133[18] > 0 && i6133[18] < i4[18] && i6160[18] > 0 && i6133[18] + 1 > 0 →* TRUE)∧(java.lang.Object(java.lang.String(i7127[18])) →* java.lang.Object(java.lang.String(i7127[19]))))


(19) -> (10), if ((i6133[19] + 1 →* i6441[10])∧(i6160[19] →* i6160[10])∧(java.lang.Object(ARRAY(i4[19], a45013data[19])) →* java.lang.Object(ARRAY(i4[10], a45013data[10]))))



The set Q consists of the following terms:
Load23089(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load23089ARR9(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load23089ARR9(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Inc28334(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load23089ARR10(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load23089ARR10(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Load23089ARR11(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load23089ARR11(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
JMP28245(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load23089ARR12(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load23089ARR12(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Load23089ARR13(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load23089ARR13(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Load23089ARR16(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load23089ARR16(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))

(50) ItpfGraphProof (EQUIVALENT transformation)

Applied rule ItpfICap [ICap]

(51) Obligation:

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


The following domains are used:

Boolean, Integer


R is empty.

The integer pair graph contains the following rules and edges:
(0): LOAD23089(java.lang.Object(ARRAY(i4[0], a45013data[0])), i6133[0], i6160[0]) → LOAD23089ARR9(java.lang.Object(ARRAY(i4[0], a45013data[0])), i6133[0], i6160[0], java.lang.Object(java.lang.String(i7126[0])))
(1): LOAD23089ARR9(java.lang.Object(ARRAY(i4[1], a45013data[1])), i6133[1], i6160[1], java.lang.Object(java.lang.String(i7126[1]))) → COND_LOAD23089ARR9(i7126[1] > 0 && i6133[1] > 0 && i6133[1] < i4[1] && i6160[1] > 0 && i6133[1] + 1 > 0, java.lang.Object(ARRAY(i4[1], a45013data[1])), i6133[1], i6160[1], java.lang.Object(java.lang.String(i7126[1])))
(2): COND_LOAD23089ARR9(TRUE, java.lang.Object(ARRAY(i4[2], a45013data[2])), i6133[2], i6160[2], java.lang.Object(java.lang.String(i7126[2]))) → JMP28245'(java.lang.Object(ARRAY(i4[2], a45013data[2])), i6133[2] + 1, i6160[2])
(3): INC28334(java.lang.Object(ARRAY(i4[3], a45013data[3])), i6441[3], i6160[3]) → LOAD23089(java.lang.Object(ARRAY(i4[3], a45013data[3])), i6441[3], i6160[3] + -1)
(4): LOAD23089(java.lang.Object(ARRAY(i4[4], a45013data[4])), i6133[4], i6160[4]) → LOAD23089ARR10(java.lang.Object(ARRAY(i4[4], a45013data[4])), i6133[4], i6160[4], java.lang.Object(java.lang.String(i7127[4])))
(5): LOAD23089ARR10(java.lang.Object(ARRAY(i4[5], a45013data[5])), i6133[5], i6160[5], java.lang.Object(java.lang.String(i7127[5]))) → COND_LOAD23089ARR10(i7127[5] <= 0 && i6133[5] > 0 && i6133[5] < i4[5] && i6160[5] > 0 && i6133[5] + 1 > 0, java.lang.Object(ARRAY(i4[5], a45013data[5])), i6133[5], i6160[5], java.lang.Object(java.lang.String(i7127[5])))
(6): COND_LOAD23089ARR10(TRUE, java.lang.Object(ARRAY(i4[6], a45013data[6])), i6133[6], i6160[6], java.lang.Object(java.lang.String(i7127[6]))) → LOAD23089(java.lang.Object(ARRAY(i4[6], a45013data[6])), i6133[6] + 1, i6160[6] + -1)
(7): LOAD23089(java.lang.Object(ARRAY(i4[7], a45013data[7])), i6133[7], i6160[7]) → LOAD23089ARR11(java.lang.Object(ARRAY(i4[7], a45013data[7])), i6133[7], i6160[7], java.lang.Object(java.lang.String(i7126[7])))
(8): LOAD23089ARR11(java.lang.Object(ARRAY(i4[8], a45013data[8])), i6133[8], i6160[8], java.lang.Object(java.lang.String(i7126[8]))) → COND_LOAD23089ARR11(i7126[8] > 0 && i6133[8] > 0 && i6133[8] < i4[8] && i6160[8] > 0 && i6133[8] + 1 > 0, java.lang.Object(ARRAY(i4[8], a45013data[8])), i6133[8], i6160[8], java.lang.Object(java.lang.String(i7126[8])))
(9): COND_LOAD23089ARR11(TRUE, java.lang.Object(ARRAY(i4[9], a45013data[9])), i6133[9], i6160[9], java.lang.Object(java.lang.String(i7126[9]))) → LOAD23089(java.lang.Object(ARRAY(i4[9], a45013data[9])), i6133[9] + 1, i6160[9] + -1)
(10): JMP28245'(java.lang.Object(ARRAY(i4[10], a45013data[10])), i6441[10], i6160[10]) → INC28334(java.lang.Object(ARRAY(i4[10], a45013data[10])), i6441[10], i6160[10])
(11): LOAD23089(java.lang.Object(ARRAY(i4[11], a45013data[11])), i6133[11], i6160[11]) → LOAD23089ARR12(java.lang.Object(ARRAY(i4[11], a45013data[11])), i6133[11], i6160[11], java.lang.Object(java.lang.String(i7126[11])))
(12): LOAD23089ARR12(java.lang.Object(ARRAY(i4[12], a45013data[12])), i6133[12], i6160[12], java.lang.Object(java.lang.String(i7126[12]))) → COND_LOAD23089ARR12(i7126[12] > 0 && i6133[12] > 0 && i6133[12] < i4[12] && i6160[12] > 0 && i6133[12] + 1 > 0, java.lang.Object(ARRAY(i4[12], a45013data[12])), i6133[12], i6160[12], java.lang.Object(java.lang.String(i7126[12])))
(13): COND_LOAD23089ARR12(TRUE, java.lang.Object(ARRAY(i4[13], a45013data[13])), i6133[13], i6160[13], java.lang.Object(java.lang.String(i7126[13]))) → INC28334(java.lang.Object(ARRAY(i4[13], a45013data[13])), i6133[13] + 1, i6160[13])
(14): LOAD23089(java.lang.Object(ARRAY(i4[14], a45013data[14])), i6133[14], i6160[14]) → LOAD23089ARR13(java.lang.Object(ARRAY(i4[14], a45013data[14])), i6133[14], i6160[14], java.lang.Object(java.lang.String(i7127[14])))
(15): LOAD23089ARR13(java.lang.Object(ARRAY(i4[15], a45013data[15])), i6133[15], i6160[15], java.lang.Object(java.lang.String(i7127[15]))) → COND_LOAD23089ARR13(i7127[15] <= 0 && i6133[15] > 0 && i6133[15] < i4[15] && i6160[15] > 0 && i6133[15] + 1 > 0, java.lang.Object(ARRAY(i4[15], a45013data[15])), i6133[15], i6160[15], java.lang.Object(java.lang.String(i7127[15])))
(16): COND_LOAD23089ARR13(TRUE, java.lang.Object(ARRAY(i4[16], a45013data[16])), i6133[16], i6160[16], java.lang.Object(java.lang.String(i7127[16]))) → INC28334(java.lang.Object(ARRAY(i4[16], a45013data[16])), i6133[16] + 1, i6160[16])
(17): LOAD23089(java.lang.Object(ARRAY(i4[17], a45013data[17])), i6133[17], i6160[17]) → LOAD23089ARR16(java.lang.Object(ARRAY(i4[17], a45013data[17])), i6133[17], i6160[17], java.lang.Object(java.lang.String(i7127[17])))
(18): LOAD23089ARR16(java.lang.Object(ARRAY(i4[18], a45013data[18])), i6133[18], i6160[18], java.lang.Object(java.lang.String(i7127[18]))) → COND_LOAD23089ARR16(i7127[18] <= 0 && i6133[18] > 0 && i6133[18] < i4[18] && i6160[18] > 0 && i6133[18] + 1 > 0, java.lang.Object(ARRAY(i4[18], a45013data[18])), i6133[18], i6160[18], java.lang.Object(java.lang.String(i7127[18])))
(19): COND_LOAD23089ARR16(TRUE, java.lang.Object(ARRAY(i4[19], a45013data[19])), i6133[19], i6160[19], java.lang.Object(java.lang.String(i7127[19]))) → JMP28245'(java.lang.Object(ARRAY(i4[19], a45013data[19])), i6133[19] + 1, i6160[19])

(0) -> (1), if (((i7126[0] →* i7126[1]))∧(i6160[0] →* i6160[1])∧((i4[0] →* i4[1])∧(a45013data[0] →* a45013data[1]))∧(i6133[0] →* i6133[1]))


(1) -> (2), if (((i7126[1] →* i7126[2]))∧((i4[1] →* i4[2])∧(a45013data[1] →* a45013data[2]))∧(i6160[1] →* i6160[2])∧(i6133[1] →* i6133[2])∧(i7126[1] > 0 && i6133[1] > 0 && i6133[1] < i4[1] && i6160[1] > 0 && i6133[1] + 1 > 0 →* TRUE))


(2) -> (10), if (((i4[2] →* i4[10])∧(a45013data[2] →* a45013data[10]))∧(i6160[2] →* i6160[10])∧(i6133[2] + 1 →* i6441[10]))


(3) -> (0), if ((i6160[3] + -1 →* i6160[0])∧(i6441[3] →* i6133[0])∧((i4[3] →* i4[0])∧(a45013data[3] →* a45013data[0])))


(3) -> (4), if (((i4[3] →* i4[4])∧(a45013data[3] →* a45013data[4]))∧(i6441[3] →* i6133[4])∧(i6160[3] + -1 →* i6160[4]))


(3) -> (7), if ((i6441[3] →* i6133[7])∧((i4[3] →* i4[7])∧(a45013data[3] →* a45013data[7]))∧(i6160[3] + -1 →* i6160[7]))


(3) -> (11), if ((i6160[3] + -1 →* i6160[11])∧((i4[3] →* i4[11])∧(a45013data[3] →* a45013data[11]))∧(i6441[3] →* i6133[11]))


(3) -> (14), if ((i6441[3] →* i6133[14])∧((i4[3] →* i4[14])∧(a45013data[3] →* a45013data[14]))∧(i6160[3] + -1 →* i6160[14]))


(3) -> (17), if ((i6441[3] →* i6133[17])∧((i4[3] →* i4[17])∧(a45013data[3] →* a45013data[17]))∧(i6160[3] + -1 →* i6160[17]))


(4) -> (5), if ((i6133[4] →* i6133[5])∧((i7127[4] →* i7127[5]))∧(i6160[4] →* i6160[5])∧((i4[4] →* i4[5])∧(a45013data[4] →* a45013data[5])))


(5) -> (6), if (((i7127[5] →* i7127[6]))∧(i6160[5] →* i6160[6])∧(i7127[5] <= 0 && i6133[5] > 0 && i6133[5] < i4[5] && i6160[5] > 0 && i6133[5] + 1 > 0 →* TRUE)∧(i6133[5] →* i6133[6])∧((i4[5] →* i4[6])∧(a45013data[5] →* a45013data[6])))


(6) -> (0), if ((i6160[6] + -1 →* i6160[0])∧((i4[6] →* i4[0])∧(a45013data[6] →* a45013data[0]))∧(i6133[6] + 1 →* i6133[0]))


(6) -> (4), if (((i4[6] →* i4[4])∧(a45013data[6] →* a45013data[4]))∧(i6133[6] + 1 →* i6133[4])∧(i6160[6] + -1 →* i6160[4]))


(6) -> (7), if (((i4[6] →* i4[7])∧(a45013data[6] →* a45013data[7]))∧(i6160[6] + -1 →* i6160[7])∧(i6133[6] + 1 →* i6133[7]))


(6) -> (11), if (((i4[6] →* i4[11])∧(a45013data[6] →* a45013data[11]))∧(i6133[6] + 1 →* i6133[11])∧(i6160[6] + -1 →* i6160[11]))


(6) -> (14), if (((i4[6] →* i4[14])∧(a45013data[6] →* a45013data[14]))∧(i6160[6] + -1 →* i6160[14])∧(i6133[6] + 1 →* i6133[14]))


(6) -> (17), if ((i6160[6] + -1 →* i6160[17])∧((i4[6] →* i4[17])∧(a45013data[6] →* a45013data[17]))∧(i6133[6] + 1 →* i6133[17]))


(7) -> (8), if (((i7126[7] →* i7126[8]))∧(i6133[7] →* i6133[8])∧((i4[7] →* i4[8])∧(a45013data[7] →* a45013data[8]))∧(i6160[7] →* i6160[8]))


(8) -> (9), if ((i6133[8] →* i6133[9])∧(i6160[8] →* i6160[9])∧((i4[8] →* i4[9])∧(a45013data[8] →* a45013data[9]))∧(i7126[8] > 0 && i6133[8] > 0 && i6133[8] < i4[8] && i6160[8] > 0 && i6133[8] + 1 > 0 →* TRUE)∧((i7126[8] →* i7126[9])))


(9) -> (0), if ((i6160[9] + -1 →* i6160[0])∧(i6133[9] + 1 →* i6133[0])∧((i4[9] →* i4[0])∧(a45013data[9] →* a45013data[0])))


(9) -> (4), if ((i6133[9] + 1 →* i6133[4])∧(i6160[9] + -1 →* i6160[4])∧((i4[9] →* i4[4])∧(a45013data[9] →* a45013data[4])))


(9) -> (7), if ((i6133[9] + 1 →* i6133[7])∧(i6160[9] + -1 →* i6160[7])∧((i4[9] →* i4[7])∧(a45013data[9] →* a45013data[7])))


(9) -> (11), if ((i6160[9] + -1 →* i6160[11])∧(i6133[9] + 1 →* i6133[11])∧((i4[9] →* i4[11])∧(a45013data[9] →* a45013data[11])))


(9) -> (14), if ((i6160[9] + -1 →* i6160[14])∧((i4[9] →* i4[14])∧(a45013data[9] →* a45013data[14]))∧(i6133[9] + 1 →* i6133[14]))


(9) -> (17), if (((i4[9] →* i4[17])∧(a45013data[9] →* a45013data[17]))∧(i6160[9] + -1 →* i6160[17])∧(i6133[9] + 1 →* i6133[17]))


(10) -> (3), if ((i6160[10] →* i6160[3])∧(i6441[10] →* i6441[3])∧((i4[10] →* i4[3])∧(a45013data[10] →* a45013data[3])))


(11) -> (12), if (((i7126[11] →* i7126[12]))∧(i6160[11] →* i6160[12])∧(i6133[11] →* i6133[12])∧((i4[11] →* i4[12])∧(a45013data[11] →* a45013data[12])))


(12) -> (13), if ((i7126[12] > 0 && i6133[12] > 0 && i6133[12] < i4[12] && i6160[12] > 0 && i6133[12] + 1 > 0 →* TRUE)∧((i4[12] →* i4[13])∧(a45013data[12] →* a45013data[13]))∧(i6160[12] →* i6160[13])∧(i6133[12] →* i6133[13])∧((i7126[12] →* i7126[13])))


(13) -> (3), if (((i4[13] →* i4[3])∧(a45013data[13] →* a45013data[3]))∧(i6160[13] →* i6160[3])∧(i6133[13] + 1 →* i6441[3]))


(14) -> (15), if ((i6160[14] →* i6160[15])∧((i4[14] →* i4[15])∧(a45013data[14] →* a45013data[15]))∧((i7127[14] →* i7127[15]))∧(i6133[14] →* i6133[15]))


(15) -> (16), if ((i6133[15] →* i6133[16])∧(i6160[15] →* i6160[16])∧((i7127[15] →* i7127[16]))∧(i7127[15] <= 0 && i6133[15] > 0 && i6133[15] < i4[15] && i6160[15] > 0 && i6133[15] + 1 > 0 →* TRUE)∧((i4[15] →* i4[16])∧(a45013data[15] →* a45013data[16])))


(16) -> (3), if ((i6133[16] + 1 →* i6441[3])∧(i6160[16] →* i6160[3])∧((i4[16] →* i4[3])∧(a45013data[16] →* a45013data[3])))


(17) -> (18), if (((i4[17] →* i4[18])∧(a45013data[17] →* a45013data[18]))∧(i6133[17] →* i6133[18])∧(i6160[17] →* i6160[18])∧((i7127[17] →* i7127[18])))


(18) -> (19), if (((i4[18] →* i4[19])∧(a45013data[18] →* a45013data[19]))∧(i6160[18] →* i6160[19])∧(i6133[18] →* i6133[19])∧(i7127[18] <= 0 && i6133[18] > 0 && i6133[18] < i4[18] && i6160[18] > 0 && i6133[18] + 1 > 0 →* TRUE)∧((i7127[18] →* i7127[19])))


(19) -> (10), if ((i6133[19] + 1 →* i6441[10])∧(i6160[19] →* i6160[10])∧((i4[19] →* i4[10])∧(a45013data[19] →* a45013data[10])))



The set Q consists of the following terms:
Load23089(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load23089ARR9(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load23089ARR9(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Inc28334(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load23089ARR10(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load23089ARR10(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Load23089ARR11(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load23089ARR11(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
JMP28245(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load23089ARR12(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load23089ARR12(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Load23089ARR13(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load23089ARR13(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Load23089ARR16(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load23089ARR16(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))

(52) IDPNonInfProof (SOUND transformation)

The constraints were generated the following way:
The DP Problem is simplified using the Induction Calculus [NONINF] with the following steps:
Note that final constraints are written in bold face.


For Pair LOAD23089(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160) → LOAD23089ARR9(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7126))) the following chains were created:
  • We consider the chain LOAD23089(java.lang.Object(ARRAY(i4[0], a45013data[0])), i6133[0], i6160[0]) → LOAD23089ARR9(java.lang.Object(ARRAY(i4[0], a45013data[0])), i6133[0], i6160[0], java.lang.Object(java.lang.String(i7126[0]))) which results in the following constraint:

    (1)    (LOAD23089(java.lang.Object(ARRAY(i4[0], a45013data[0])), i6133[0], i6160[0])≥NonInfC∧LOAD23089(java.lang.Object(ARRAY(i4[0], a45013data[0])), i6133[0], i6160[0])≥LOAD23089ARR9(java.lang.Object(ARRAY(i4[0], a45013data[0])), i6133[0], i6160[0], java.lang.Object(java.lang.String(i7126[0])))∧(UIncreasing(LOAD23089ARR9(java.lang.Object(ARRAY(i4[0], a45013data[0])), i6133[0], i6160[0], java.lang.Object(java.lang.String(i7126[0])))), ≥))



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

    (2)    ((UIncreasing(LOAD23089ARR9(java.lang.Object(ARRAY(i4[0], a45013data[0])), i6133[0], i6160[0], java.lang.Object(java.lang.String(i7126[0])))), ≥)∧[(-1)bso_33] ≥ 0)



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

    (3)    ((UIncreasing(LOAD23089ARR9(java.lang.Object(ARRAY(i4[0], a45013data[0])), i6133[0], i6160[0], java.lang.Object(java.lang.String(i7126[0])))), ≥)∧[(-1)bso_33] ≥ 0)



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

    (4)    ((UIncreasing(LOAD23089ARR9(java.lang.Object(ARRAY(i4[0], a45013data[0])), i6133[0], i6160[0], java.lang.Object(java.lang.String(i7126[0])))), ≥)∧[(-1)bso_33] ≥ 0)



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

    (5)    ((UIncreasing(LOAD23089ARR9(java.lang.Object(ARRAY(i4[0], a45013data[0])), i6133[0], i6160[0], java.lang.Object(java.lang.String(i7126[0])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_33] ≥ 0)







For Pair LOAD23089ARR9(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7126))) → COND_LOAD23089ARR9(&&(&&(&&(&&(>(i7126, 0), >(i6133, 0)), <(i6133, i4)), >(i6160, 0)), >(+(i6133, 1), 0)), java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7126))) the following chains were created:
  • We consider the chain LOAD23089ARR9(java.lang.Object(ARRAY(i4[1], a45013data[1])), i6133[1], i6160[1], java.lang.Object(java.lang.String(i7126[1]))) → COND_LOAD23089ARR9(&&(&&(&&(&&(>(i7126[1], 0), >(i6133[1], 0)), <(i6133[1], i4[1])), >(i6160[1], 0)), >(+(i6133[1], 1), 0)), java.lang.Object(ARRAY(i4[1], a45013data[1])), i6133[1], i6160[1], java.lang.Object(java.lang.String(i7126[1]))), COND_LOAD23089ARR9(TRUE, java.lang.Object(ARRAY(i4[2], a45013data[2])), i6133[2], i6160[2], java.lang.Object(java.lang.String(i7126[2]))) → JMP28245'(java.lang.Object(ARRAY(i4[2], a45013data[2])), +(i6133[2], 1), i6160[2]) which results in the following constraint:

    (6)    (i7126[1]=i7126[2]∧i4[1]=i4[2]∧a45013data[1]=a45013data[2]∧i6160[1]=i6160[2]∧i6133[1]=i6133[2]∧&&(&&(&&(&&(>(i7126[1], 0), >(i6133[1], 0)), <(i6133[1], i4[1])), >(i6160[1], 0)), >(+(i6133[1], 1), 0))=TRUE ⇒ LOAD23089ARR9(java.lang.Object(ARRAY(i4[1], a45013data[1])), i6133[1], i6160[1], java.lang.Object(java.lang.String(i7126[1])))≥NonInfC∧LOAD23089ARR9(java.lang.Object(ARRAY(i4[1], a45013data[1])), i6133[1], i6160[1], java.lang.Object(java.lang.String(i7126[1])))≥COND_LOAD23089ARR9(&&(&&(&&(&&(>(i7126[1], 0), >(i6133[1], 0)), <(i6133[1], i4[1])), >(i6160[1], 0)), >(+(i6133[1], 1), 0)), java.lang.Object(ARRAY(i4[1], a45013data[1])), i6133[1], i6160[1], java.lang.Object(java.lang.String(i7126[1])))∧(UIncreasing(COND_LOAD23089ARR9(&&(&&(&&(&&(>(i7126[1], 0), >(i6133[1], 0)), <(i6133[1], i4[1])), >(i6160[1], 0)), >(+(i6133[1], 1), 0)), java.lang.Object(ARRAY(i4[1], a45013data[1])), i6133[1], i6160[1], java.lang.Object(java.lang.String(i7126[1])))), ≥))



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

    (7)    (>(+(i6133[1], 1), 0)=TRUE∧>(i6160[1], 0)=TRUE∧<(i6133[1], i4[1])=TRUE∧>(i7126[1], 0)=TRUE∧>(i6133[1], 0)=TRUE ⇒ LOAD23089ARR9(java.lang.Object(ARRAY(i4[1], a45013data[1])), i6133[1], i6160[1], java.lang.Object(java.lang.String(i7126[1])))≥NonInfC∧LOAD23089ARR9(java.lang.Object(ARRAY(i4[1], a45013data[1])), i6133[1], i6160[1], java.lang.Object(java.lang.String(i7126[1])))≥COND_LOAD23089ARR9(&&(&&(&&(&&(>(i7126[1], 0), >(i6133[1], 0)), <(i6133[1], i4[1])), >(i6160[1], 0)), >(+(i6133[1], 1), 0)), java.lang.Object(ARRAY(i4[1], a45013data[1])), i6133[1], i6160[1], java.lang.Object(java.lang.String(i7126[1])))∧(UIncreasing(COND_LOAD23089ARR9(&&(&&(&&(&&(>(i7126[1], 0), >(i6133[1], 0)), <(i6133[1], i4[1])), >(i6160[1], 0)), >(+(i6133[1], 1), 0)), java.lang.Object(ARRAY(i4[1], a45013data[1])), i6133[1], i6160[1], java.lang.Object(java.lang.String(i7126[1])))), ≥))



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

    (8)    (i6133[1] ≥ 0∧i6160[1] + [-1] ≥ 0∧i4[1] + [-1] + [-1]i6133[1] ≥ 0∧i7126[1] + [-1] ≥ 0∧i6133[1] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD23089ARR9(&&(&&(&&(&&(>(i7126[1], 0), >(i6133[1], 0)), <(i6133[1], i4[1])), >(i6160[1], 0)), >(+(i6133[1], 1), 0)), java.lang.Object(ARRAY(i4[1], a45013data[1])), i6133[1], i6160[1], java.lang.Object(java.lang.String(i7126[1])))), ≥)∧[(-1)bni_34 + (-1)Bound*bni_34] + [bni_34]i6160[1] ≥ 0∧[1 + (-1)bso_35] ≥ 0)



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

    (9)    (i6133[1] ≥ 0∧i6160[1] + [-1] ≥ 0∧i4[1] + [-1] + [-1]i6133[1] ≥ 0∧i7126[1] + [-1] ≥ 0∧i6133[1] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD23089ARR9(&&(&&(&&(&&(>(i7126[1], 0), >(i6133[1], 0)), <(i6133[1], i4[1])), >(i6160[1], 0)), >(+(i6133[1], 1), 0)), java.lang.Object(ARRAY(i4[1], a45013data[1])), i6133[1], i6160[1], java.lang.Object(java.lang.String(i7126[1])))), ≥)∧[(-1)bni_34 + (-1)Bound*bni_34] + [bni_34]i6160[1] ≥ 0∧[1 + (-1)bso_35] ≥ 0)



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

    (10)    (i6133[1] ≥ 0∧i6160[1] + [-1] ≥ 0∧i4[1] + [-1] + [-1]i6133[1] ≥ 0∧i7126[1] + [-1] ≥ 0∧i6133[1] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD23089ARR9(&&(&&(&&(&&(>(i7126[1], 0), >(i6133[1], 0)), <(i6133[1], i4[1])), >(i6160[1], 0)), >(+(i6133[1], 1), 0)), java.lang.Object(ARRAY(i4[1], a45013data[1])), i6133[1], i6160[1], java.lang.Object(java.lang.String(i7126[1])))), ≥)∧[(-1)bni_34 + (-1)Bound*bni_34] + [bni_34]i6160[1] ≥ 0∧[1 + (-1)bso_35] ≥ 0)



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

    (11)    (i6133[1] ≥ 0∧i6160[1] + [-1] ≥ 0∧i4[1] + [-1] + [-1]i6133[1] ≥ 0∧i7126[1] + [-1] ≥ 0∧i6133[1] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD23089ARR9(&&(&&(&&(&&(>(i7126[1], 0), >(i6133[1], 0)), <(i6133[1], i4[1])), >(i6160[1], 0)), >(+(i6133[1], 1), 0)), java.lang.Object(ARRAY(i4[1], a45013data[1])), i6133[1], i6160[1], java.lang.Object(java.lang.String(i7126[1])))), ≥)∧0 = 0∧[(-1)bni_34 + (-1)Bound*bni_34] + [bni_34]i6160[1] ≥ 0∧0 = 0∧[1 + (-1)bso_35] ≥ 0)



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

    (12)    ([1] + i6133[1] ≥ 0∧i6160[1] + [-1] ≥ 0∧i4[1] + [-2] + [-1]i6133[1] ≥ 0∧i7126[1] + [-1] ≥ 0∧i6133[1] ≥ 0 ⇒ (UIncreasing(COND_LOAD23089ARR9(&&(&&(&&(&&(>(i7126[1], 0), >(i6133[1], 0)), <(i6133[1], i4[1])), >(i6160[1], 0)), >(+(i6133[1], 1), 0)), java.lang.Object(ARRAY(i4[1], a45013data[1])), i6133[1], i6160[1], java.lang.Object(java.lang.String(i7126[1])))), ≥)∧0 = 0∧[(-1)bni_34 + (-1)Bound*bni_34] + [bni_34]i6160[1] ≥ 0∧0 = 0∧[1 + (-1)bso_35] ≥ 0)



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

    (13)    ([1] + i6133[1] ≥ 0∧i6160[1] ≥ 0∧i4[1] + [-2] + [-1]i6133[1] ≥ 0∧i7126[1] + [-1] ≥ 0∧i6133[1] ≥ 0 ⇒ (UIncreasing(COND_LOAD23089ARR9(&&(&&(&&(&&(>(i7126[1], 0), >(i6133[1], 0)), <(i6133[1], i4[1])), >(i6160[1], 0)), >(+(i6133[1], 1), 0)), java.lang.Object(ARRAY(i4[1], a45013data[1])), i6133[1], i6160[1], java.lang.Object(java.lang.String(i7126[1])))), ≥)∧0 = 0∧[(-1)Bound*bni_34] + [bni_34]i6160[1] ≥ 0∧0 = 0∧[1 + (-1)bso_35] ≥ 0)



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

    (14)    ([1] + i6133[1] ≥ 0∧i6160[1] ≥ 0∧i4[1] ≥ 0∧i7126[1] + [-1] ≥ 0∧i6133[1] ≥ 0 ⇒ (UIncreasing(COND_LOAD23089ARR9(&&(&&(&&(&&(>(i7126[1], 0), >(i6133[1], 0)), <(i6133[1], i4[1])), >(i6160[1], 0)), >(+(i6133[1], 1), 0)), java.lang.Object(ARRAY(i4[1], a45013data[1])), i6133[1], i6160[1], java.lang.Object(java.lang.String(i7126[1])))), ≥)∧0 = 0∧[(-1)Bound*bni_34] + [bni_34]i6160[1] ≥ 0∧0 = 0∧[1 + (-1)bso_35] ≥ 0)



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

    (15)    ([1] + i6133[1] ≥ 0∧i6160[1] ≥ 0∧i4[1] ≥ 0∧i7126[1] ≥ 0∧i6133[1] ≥ 0 ⇒ (UIncreasing(COND_LOAD23089ARR9(&&(&&(&&(&&(>(i7126[1], 0), >(i6133[1], 0)), <(i6133[1], i4[1])), >(i6160[1], 0)), >(+(i6133[1], 1), 0)), java.lang.Object(ARRAY(i4[1], a45013data[1])), i6133[1], i6160[1], java.lang.Object(java.lang.String(i7126[1])))), ≥)∧0 = 0∧[(-1)Bound*bni_34] + [bni_34]i6160[1] ≥ 0∧0 = 0∧[1 + (-1)bso_35] ≥ 0)







For Pair COND_LOAD23089ARR9(TRUE, java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7126))) → JMP28245'(java.lang.Object(ARRAY(i4, a45013data)), +(i6133, 1), i6160) the following chains were created:
  • We consider the chain COND_LOAD23089ARR9(TRUE, java.lang.Object(ARRAY(i4[2], a45013data[2])), i6133[2], i6160[2], java.lang.Object(java.lang.String(i7126[2]))) → JMP28245'(java.lang.Object(ARRAY(i4[2], a45013data[2])), +(i6133[2], 1), i6160[2]) which results in the following constraint:

    (16)    (COND_LOAD23089ARR9(TRUE, java.lang.Object(ARRAY(i4[2], a45013data[2])), i6133[2], i6160[2], java.lang.Object(java.lang.String(i7126[2])))≥NonInfC∧COND_LOAD23089ARR9(TRUE, java.lang.Object(ARRAY(i4[2], a45013data[2])), i6133[2], i6160[2], java.lang.Object(java.lang.String(i7126[2])))≥JMP28245'(java.lang.Object(ARRAY(i4[2], a45013data[2])), +(i6133[2], 1), i6160[2])∧(UIncreasing(JMP28245'(java.lang.Object(ARRAY(i4[2], a45013data[2])), +(i6133[2], 1), i6160[2])), ≥))



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

    (17)    ((UIncreasing(JMP28245'(java.lang.Object(ARRAY(i4[2], a45013data[2])), +(i6133[2], 1), i6160[2])), ≥)∧[(-1)bso_37] ≥ 0)



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

    (18)    ((UIncreasing(JMP28245'(java.lang.Object(ARRAY(i4[2], a45013data[2])), +(i6133[2], 1), i6160[2])), ≥)∧[(-1)bso_37] ≥ 0)



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

    (19)    ((UIncreasing(JMP28245'(java.lang.Object(ARRAY(i4[2], a45013data[2])), +(i6133[2], 1), i6160[2])), ≥)∧[(-1)bso_37] ≥ 0)



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

    (20)    ((UIncreasing(JMP28245'(java.lang.Object(ARRAY(i4[2], a45013data[2])), +(i6133[2], 1), i6160[2])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_37] ≥ 0)







For Pair INC28334(java.lang.Object(ARRAY(i4, a45013data)), i6441, i6160) → LOAD23089(java.lang.Object(ARRAY(i4, a45013data)), i6441, +(i6160, -1)) the following chains were created:
  • We consider the chain INC28334(java.lang.Object(ARRAY(i4[3], a45013data[3])), i6441[3], i6160[3]) → LOAD23089(java.lang.Object(ARRAY(i4[3], a45013data[3])), i6441[3], +(i6160[3], -1)) which results in the following constraint:

    (21)    (INC28334(java.lang.Object(ARRAY(i4[3], a45013data[3])), i6441[3], i6160[3])≥NonInfC∧INC28334(java.lang.Object(ARRAY(i4[3], a45013data[3])), i6441[3], i6160[3])≥LOAD23089(java.lang.Object(ARRAY(i4[3], a45013data[3])), i6441[3], +(i6160[3], -1))∧(UIncreasing(LOAD23089(java.lang.Object(ARRAY(i4[3], a45013data[3])), i6441[3], +(i6160[3], -1))), ≥))



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

    (22)    ((UIncreasing(LOAD23089(java.lang.Object(ARRAY(i4[3], a45013data[3])), i6441[3], +(i6160[3], -1))), ≥)∧[(-1)bso_39] ≥ 0)



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

    (23)    ((UIncreasing(LOAD23089(java.lang.Object(ARRAY(i4[3], a45013data[3])), i6441[3], +(i6160[3], -1))), ≥)∧[(-1)bso_39] ≥ 0)



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

    (24)    ((UIncreasing(LOAD23089(java.lang.Object(ARRAY(i4[3], a45013data[3])), i6441[3], +(i6160[3], -1))), ≥)∧[(-1)bso_39] ≥ 0)



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

    (25)    ((UIncreasing(LOAD23089(java.lang.Object(ARRAY(i4[3], a45013data[3])), i6441[3], +(i6160[3], -1))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_39] ≥ 0)







For Pair LOAD23089(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160) → LOAD23089ARR10(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7127))) the following chains were created:
  • We consider the chain LOAD23089(java.lang.Object(ARRAY(i4[4], a45013data[4])), i6133[4], i6160[4]) → LOAD23089ARR10(java.lang.Object(ARRAY(i4[4], a45013data[4])), i6133[4], i6160[4], java.lang.Object(java.lang.String(i7127[4]))) which results in the following constraint:

    (26)    (LOAD23089(java.lang.Object(ARRAY(i4[4], a45013data[4])), i6133[4], i6160[4])≥NonInfC∧LOAD23089(java.lang.Object(ARRAY(i4[4], a45013data[4])), i6133[4], i6160[4])≥LOAD23089ARR10(java.lang.Object(ARRAY(i4[4], a45013data[4])), i6133[4], i6160[4], java.lang.Object(java.lang.String(i7127[4])))∧(UIncreasing(LOAD23089ARR10(java.lang.Object(ARRAY(i4[4], a45013data[4])), i6133[4], i6160[4], java.lang.Object(java.lang.String(i7127[4])))), ≥))



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

    (27)    ((UIncreasing(LOAD23089ARR10(java.lang.Object(ARRAY(i4[4], a45013data[4])), i6133[4], i6160[4], java.lang.Object(java.lang.String(i7127[4])))), ≥)∧[1 + (-1)bso_41] ≥ 0)



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

    (28)    ((UIncreasing(LOAD23089ARR10(java.lang.Object(ARRAY(i4[4], a45013data[4])), i6133[4], i6160[4], java.lang.Object(java.lang.String(i7127[4])))), ≥)∧[1 + (-1)bso_41] ≥ 0)



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

    (29)    ((UIncreasing(LOAD23089ARR10(java.lang.Object(ARRAY(i4[4], a45013data[4])), i6133[4], i6160[4], java.lang.Object(java.lang.String(i7127[4])))), ≥)∧[1 + (-1)bso_41] ≥ 0)



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

    (30)    ((UIncreasing(LOAD23089ARR10(java.lang.Object(ARRAY(i4[4], a45013data[4])), i6133[4], i6160[4], java.lang.Object(java.lang.String(i7127[4])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_41] ≥ 0)







For Pair LOAD23089ARR10(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7127))) → COND_LOAD23089ARR10(&&(&&(&&(&&(<=(i7127, 0), >(i6133, 0)), <(i6133, i4)), >(i6160, 0)), >(+(i6133, 1), 0)), java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7127))) the following chains were created:
  • We consider the chain LOAD23089ARR10(java.lang.Object(ARRAY(i4[5], a45013data[5])), i6133[5], i6160[5], java.lang.Object(java.lang.String(i7127[5]))) → COND_LOAD23089ARR10(&&(&&(&&(&&(<=(i7127[5], 0), >(i6133[5], 0)), <(i6133[5], i4[5])), >(i6160[5], 0)), >(+(i6133[5], 1), 0)), java.lang.Object(ARRAY(i4[5], a45013data[5])), i6133[5], i6160[5], java.lang.Object(java.lang.String(i7127[5]))), COND_LOAD23089ARR10(TRUE, java.lang.Object(ARRAY(i4[6], a45013data[6])), i6133[6], i6160[6], java.lang.Object(java.lang.String(i7127[6]))) → LOAD23089(java.lang.Object(ARRAY(i4[6], a45013data[6])), +(i6133[6], 1), +(i6160[6], -1)) which results in the following constraint:

    (31)    (i7127[5]=i7127[6]∧i6160[5]=i6160[6]∧&&(&&(&&(&&(<=(i7127[5], 0), >(i6133[5], 0)), <(i6133[5], i4[5])), >(i6160[5], 0)), >(+(i6133[5], 1), 0))=TRUE∧i6133[5]=i6133[6]∧i4[5]=i4[6]∧a45013data[5]=a45013data[6] ⇒ LOAD23089ARR10(java.lang.Object(ARRAY(i4[5], a45013data[5])), i6133[5], i6160[5], java.lang.Object(java.lang.String(i7127[5])))≥NonInfC∧LOAD23089ARR10(java.lang.Object(ARRAY(i4[5], a45013data[5])), i6133[5], i6160[5], java.lang.Object(java.lang.String(i7127[5])))≥COND_LOAD23089ARR10(&&(&&(&&(&&(<=(i7127[5], 0), >(i6133[5], 0)), <(i6133[5], i4[5])), >(i6160[5], 0)), >(+(i6133[5], 1), 0)), java.lang.Object(ARRAY(i4[5], a45013data[5])), i6133[5], i6160[5], java.lang.Object(java.lang.String(i7127[5])))∧(UIncreasing(COND_LOAD23089ARR10(&&(&&(&&(&&(<=(i7127[5], 0), >(i6133[5], 0)), <(i6133[5], i4[5])), >(i6160[5], 0)), >(+(i6133[5], 1), 0)), java.lang.Object(ARRAY(i4[5], a45013data[5])), i6133[5], i6160[5], java.lang.Object(java.lang.String(i7127[5])))), ≥))



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

    (32)    (>(+(i6133[5], 1), 0)=TRUE∧>(i6160[5], 0)=TRUE∧<(i6133[5], i4[5])=TRUE∧<=(i7127[5], 0)=TRUE∧>(i6133[5], 0)=TRUE ⇒ LOAD23089ARR10(java.lang.Object(ARRAY(i4[5], a45013data[5])), i6133[5], i6160[5], java.lang.Object(java.lang.String(i7127[5])))≥NonInfC∧LOAD23089ARR10(java.lang.Object(ARRAY(i4[5], a45013data[5])), i6133[5], i6160[5], java.lang.Object(java.lang.String(i7127[5])))≥COND_LOAD23089ARR10(&&(&&(&&(&&(<=(i7127[5], 0), >(i6133[5], 0)), <(i6133[5], i4[5])), >(i6160[5], 0)), >(+(i6133[5], 1), 0)), java.lang.Object(ARRAY(i4[5], a45013data[5])), i6133[5], i6160[5], java.lang.Object(java.lang.String(i7127[5])))∧(UIncreasing(COND_LOAD23089ARR10(&&(&&(&&(&&(<=(i7127[5], 0), >(i6133[5], 0)), <(i6133[5], i4[5])), >(i6160[5], 0)), >(+(i6133[5], 1), 0)), java.lang.Object(ARRAY(i4[5], a45013data[5])), i6133[5], i6160[5], java.lang.Object(java.lang.String(i7127[5])))), ≥))



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

    (33)    (i6133[5] ≥ 0∧i6160[5] + [-1] ≥ 0∧i4[5] + [-1] + [-1]i6133[5] ≥ 0∧[-1]i7127[5] ≥ 0∧i6133[5] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD23089ARR10(&&(&&(&&(&&(<=(i7127[5], 0), >(i6133[5], 0)), <(i6133[5], i4[5])), >(i6160[5], 0)), >(+(i6133[5], 1), 0)), java.lang.Object(ARRAY(i4[5], a45013data[5])), i6133[5], i6160[5], java.lang.Object(java.lang.String(i7127[5])))), ≥)∧[(-2)bni_42 + (-1)Bound*bni_42] + [bni_42]i6160[5] ≥ 0∧[(-1)bso_43] ≥ 0)



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

    (34)    (i6133[5] ≥ 0∧i6160[5] + [-1] ≥ 0∧i4[5] + [-1] + [-1]i6133[5] ≥ 0∧[-1]i7127[5] ≥ 0∧i6133[5] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD23089ARR10(&&(&&(&&(&&(<=(i7127[5], 0), >(i6133[5], 0)), <(i6133[5], i4[5])), >(i6160[5], 0)), >(+(i6133[5], 1), 0)), java.lang.Object(ARRAY(i4[5], a45013data[5])), i6133[5], i6160[5], java.lang.Object(java.lang.String(i7127[5])))), ≥)∧[(-2)bni_42 + (-1)Bound*bni_42] + [bni_42]i6160[5] ≥ 0∧[(-1)bso_43] ≥ 0)



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

    (35)    (i6133[5] ≥ 0∧i6160[5] + [-1] ≥ 0∧i4[5] + [-1] + [-1]i6133[5] ≥ 0∧[-1]i7127[5] ≥ 0∧i6133[5] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD23089ARR10(&&(&&(&&(&&(<=(i7127[5], 0), >(i6133[5], 0)), <(i6133[5], i4[5])), >(i6160[5], 0)), >(+(i6133[5], 1), 0)), java.lang.Object(ARRAY(i4[5], a45013data[5])), i6133[5], i6160[5], java.lang.Object(java.lang.String(i7127[5])))), ≥)∧[(-2)bni_42 + (-1)Bound*bni_42] + [bni_42]i6160[5] ≥ 0∧[(-1)bso_43] ≥ 0)



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

    (36)    (i6133[5] ≥ 0∧i6160[5] + [-1] ≥ 0∧i4[5] + [-1] + [-1]i6133[5] ≥ 0∧[-1]i7127[5] ≥ 0∧i6133[5] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD23089ARR10(&&(&&(&&(&&(<=(i7127[5], 0), >(i6133[5], 0)), <(i6133[5], i4[5])), >(i6160[5], 0)), >(+(i6133[5], 1), 0)), java.lang.Object(ARRAY(i4[5], a45013data[5])), i6133[5], i6160[5], java.lang.Object(java.lang.String(i7127[5])))), ≥)∧0 = 0∧[(-2)bni_42 + (-1)Bound*bni_42] + [bni_42]i6160[5] ≥ 0∧0 = 0∧[(-1)bso_43] ≥ 0)



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

    (37)    ([1] + i6133[5] ≥ 0∧i6160[5] + [-1] ≥ 0∧i4[5] + [-2] + [-1]i6133[5] ≥ 0∧[-1]i7127[5] ≥ 0∧i6133[5] ≥ 0 ⇒ (UIncreasing(COND_LOAD23089ARR10(&&(&&(&&(&&(<=(i7127[5], 0), >(i6133[5], 0)), <(i6133[5], i4[5])), >(i6160[5], 0)), >(+(i6133[5], 1), 0)), java.lang.Object(ARRAY(i4[5], a45013data[5])), i6133[5], i6160[5], java.lang.Object(java.lang.String(i7127[5])))), ≥)∧0 = 0∧[(-2)bni_42 + (-1)Bound*bni_42] + [bni_42]i6160[5] ≥ 0∧0 = 0∧[(-1)bso_43] ≥ 0)



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

    (38)    ([1] + i6133[5] ≥ 0∧i6160[5] ≥ 0∧i4[5] + [-2] + [-1]i6133[5] ≥ 0∧[-1]i7127[5] ≥ 0∧i6133[5] ≥ 0 ⇒ (UIncreasing(COND_LOAD23089ARR10(&&(&&(&&(&&(<=(i7127[5], 0), >(i6133[5], 0)), <(i6133[5], i4[5])), >(i6160[5], 0)), >(+(i6133[5], 1), 0)), java.lang.Object(ARRAY(i4[5], a45013data[5])), i6133[5], i6160[5], java.lang.Object(java.lang.String(i7127[5])))), ≥)∧0 = 0∧[(-1)bni_42 + (-1)Bound*bni_42] + [bni_42]i6160[5] ≥ 0∧0 = 0∧[(-1)bso_43] ≥ 0)



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

    (39)    ([1] + i6133[5] ≥ 0∧i6160[5] ≥ 0∧i4[5] ≥ 0∧[-1]i7127[5] ≥ 0∧i6133[5] ≥ 0 ⇒ (UIncreasing(COND_LOAD23089ARR10(&&(&&(&&(&&(<=(i7127[5], 0), >(i6133[5], 0)), <(i6133[5], i4[5])), >(i6160[5], 0)), >(+(i6133[5], 1), 0)), java.lang.Object(ARRAY(i4[5], a45013data[5])), i6133[5], i6160[5], java.lang.Object(java.lang.String(i7127[5])))), ≥)∧0 = 0∧[(-1)bni_42 + (-1)Bound*bni_42] + [bni_42]i6160[5] ≥ 0∧0 = 0∧[(-1)bso_43] ≥ 0)



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

    (40)    ([1] + i6133[5] ≥ 0∧i6160[5] ≥ 0∧i4[5] ≥ 0∧i7127[5] ≥ 0∧i6133[5] ≥ 0 ⇒ (UIncreasing(COND_LOAD23089ARR10(&&(&&(&&(&&(<=(i7127[5], 0), >(i6133[5], 0)), <(i6133[5], i4[5])), >(i6160[5], 0)), >(+(i6133[5], 1), 0)), java.lang.Object(ARRAY(i4[5], a45013data[5])), i6133[5], i6160[5], java.lang.Object(java.lang.String(i7127[5])))), ≥)∧0 = 0∧[(-1)bni_42 + (-1)Bound*bni_42] + [bni_42]i6160[5] ≥ 0∧0 = 0∧[(-1)bso_43] ≥ 0)







For Pair COND_LOAD23089ARR10(TRUE, java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7127))) → LOAD23089(java.lang.Object(ARRAY(i4, a45013data)), +(i6133, 1), +(i6160, -1)) the following chains were created:
  • We consider the chain COND_LOAD23089ARR10(TRUE, java.lang.Object(ARRAY(i4[6], a45013data[6])), i6133[6], i6160[6], java.lang.Object(java.lang.String(i7127[6]))) → LOAD23089(java.lang.Object(ARRAY(i4[6], a45013data[6])), +(i6133[6], 1), +(i6160[6], -1)) which results in the following constraint:

    (41)    (COND_LOAD23089ARR10(TRUE, java.lang.Object(ARRAY(i4[6], a45013data[6])), i6133[6], i6160[6], java.lang.Object(java.lang.String(i7127[6])))≥NonInfC∧COND_LOAD23089ARR10(TRUE, java.lang.Object(ARRAY(i4[6], a45013data[6])), i6133[6], i6160[6], java.lang.Object(java.lang.String(i7127[6])))≥LOAD23089(java.lang.Object(ARRAY(i4[6], a45013data[6])), +(i6133[6], 1), +(i6160[6], -1))∧(UIncreasing(LOAD23089(java.lang.Object(ARRAY(i4[6], a45013data[6])), +(i6133[6], 1), +(i6160[6], -1))), ≥))



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

    (42)    ((UIncreasing(LOAD23089(java.lang.Object(ARRAY(i4[6], a45013data[6])), +(i6133[6], 1), +(i6160[6], -1))), ≥)∧[(-1)bso_45] ≥ 0)



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

    (43)    ((UIncreasing(LOAD23089(java.lang.Object(ARRAY(i4[6], a45013data[6])), +(i6133[6], 1), +(i6160[6], -1))), ≥)∧[(-1)bso_45] ≥ 0)



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

    (44)    ((UIncreasing(LOAD23089(java.lang.Object(ARRAY(i4[6], a45013data[6])), +(i6133[6], 1), +(i6160[6], -1))), ≥)∧[(-1)bso_45] ≥ 0)



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

    (45)    ((UIncreasing(LOAD23089(java.lang.Object(ARRAY(i4[6], a45013data[6])), +(i6133[6], 1), +(i6160[6], -1))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_45] ≥ 0)







For Pair LOAD23089(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160) → LOAD23089ARR11(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7126))) the following chains were created:
  • We consider the chain LOAD23089(java.lang.Object(ARRAY(i4[7], a45013data[7])), i6133[7], i6160[7]) → LOAD23089ARR11(java.lang.Object(ARRAY(i4[7], a45013data[7])), i6133[7], i6160[7], java.lang.Object(java.lang.String(i7126[7]))) which results in the following constraint:

    (46)    (LOAD23089(java.lang.Object(ARRAY(i4[7], a45013data[7])), i6133[7], i6160[7])≥NonInfC∧LOAD23089(java.lang.Object(ARRAY(i4[7], a45013data[7])), i6133[7], i6160[7])≥LOAD23089ARR11(java.lang.Object(ARRAY(i4[7], a45013data[7])), i6133[7], i6160[7], java.lang.Object(java.lang.String(i7126[7])))∧(UIncreasing(LOAD23089ARR11(java.lang.Object(ARRAY(i4[7], a45013data[7])), i6133[7], i6160[7], java.lang.Object(java.lang.String(i7126[7])))), ≥))



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

    (47)    ((UIncreasing(LOAD23089ARR11(java.lang.Object(ARRAY(i4[7], a45013data[7])), i6133[7], i6160[7], java.lang.Object(java.lang.String(i7126[7])))), ≥)∧[1 + (-1)bso_47] ≥ 0)



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

    (48)    ((UIncreasing(LOAD23089ARR11(java.lang.Object(ARRAY(i4[7], a45013data[7])), i6133[7], i6160[7], java.lang.Object(java.lang.String(i7126[7])))), ≥)∧[1 + (-1)bso_47] ≥ 0)



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

    (49)    ((UIncreasing(LOAD23089ARR11(java.lang.Object(ARRAY(i4[7], a45013data[7])), i6133[7], i6160[7], java.lang.Object(java.lang.String(i7126[7])))), ≥)∧[1 + (-1)bso_47] ≥ 0)



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

    (50)    ((UIncreasing(LOAD23089ARR11(java.lang.Object(ARRAY(i4[7], a45013data[7])), i6133[7], i6160[7], java.lang.Object(java.lang.String(i7126[7])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_47] ≥ 0)







For Pair LOAD23089ARR11(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7126))) → COND_LOAD23089ARR11(&&(&&(&&(&&(>(i7126, 0), >(i6133, 0)), <(i6133, i4)), >(i6160, 0)), >(+(i6133, 1), 0)), java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7126))) the following chains were created:
  • We consider the chain LOAD23089ARR11(java.lang.Object(ARRAY(i4[8], a45013data[8])), i6133[8], i6160[8], java.lang.Object(java.lang.String(i7126[8]))) → COND_LOAD23089ARR11(&&(&&(&&(&&(>(i7126[8], 0), >(i6133[8], 0)), <(i6133[8], i4[8])), >(i6160[8], 0)), >(+(i6133[8], 1), 0)), java.lang.Object(ARRAY(i4[8], a45013data[8])), i6133[8], i6160[8], java.lang.Object(java.lang.String(i7126[8]))), COND_LOAD23089ARR11(TRUE, java.lang.Object(ARRAY(i4[9], a45013data[9])), i6133[9], i6160[9], java.lang.Object(java.lang.String(i7126[9]))) → LOAD23089(java.lang.Object(ARRAY(i4[9], a45013data[9])), +(i6133[9], 1), +(i6160[9], -1)) which results in the following constraint:

    (51)    (i6133[8]=i6133[9]∧i6160[8]=i6160[9]∧i4[8]=i4[9]∧a45013data[8]=a45013data[9]∧&&(&&(&&(&&(>(i7126[8], 0), >(i6133[8], 0)), <(i6133[8], i4[8])), >(i6160[8], 0)), >(+(i6133[8], 1), 0))=TRUE∧i7126[8]=i7126[9] ⇒ LOAD23089ARR11(java.lang.Object(ARRAY(i4[8], a45013data[8])), i6133[8], i6160[8], java.lang.Object(java.lang.String(i7126[8])))≥NonInfC∧LOAD23089ARR11(java.lang.Object(ARRAY(i4[8], a45013data[8])), i6133[8], i6160[8], java.lang.Object(java.lang.String(i7126[8])))≥COND_LOAD23089ARR11(&&(&&(&&(&&(>(i7126[8], 0), >(i6133[8], 0)), <(i6133[8], i4[8])), >(i6160[8], 0)), >(+(i6133[8], 1), 0)), java.lang.Object(ARRAY(i4[8], a45013data[8])), i6133[8], i6160[8], java.lang.Object(java.lang.String(i7126[8])))∧(UIncreasing(COND_LOAD23089ARR11(&&(&&(&&(&&(>(i7126[8], 0), >(i6133[8], 0)), <(i6133[8], i4[8])), >(i6160[8], 0)), >(+(i6133[8], 1), 0)), java.lang.Object(ARRAY(i4[8], a45013data[8])), i6133[8], i6160[8], java.lang.Object(java.lang.String(i7126[8])))), ≥))



    We simplified constraint (51) using rules (IV), (IDP_BOOLEAN) which results in the following new constraint:

    (52)    (>(+(i6133[8], 1), 0)=TRUE∧>(i6160[8], 0)=TRUE∧<(i6133[8], i4[8])=TRUE∧>(i7126[8], 0)=TRUE∧>(i6133[8], 0)=TRUE ⇒ LOAD23089ARR11(java.lang.Object(ARRAY(i4[8], a45013data[8])), i6133[8], i6160[8], java.lang.Object(java.lang.String(i7126[8])))≥NonInfC∧LOAD23089ARR11(java.lang.Object(ARRAY(i4[8], a45013data[8])), i6133[8], i6160[8], java.lang.Object(java.lang.String(i7126[8])))≥COND_LOAD23089ARR11(&&(&&(&&(&&(>(i7126[8], 0), >(i6133[8], 0)), <(i6133[8], i4[8])), >(i6160[8], 0)), >(+(i6133[8], 1), 0)), java.lang.Object(ARRAY(i4[8], a45013data[8])), i6133[8], i6160[8], java.lang.Object(java.lang.String(i7126[8])))∧(UIncreasing(COND_LOAD23089ARR11(&&(&&(&&(&&(>(i7126[8], 0), >(i6133[8], 0)), <(i6133[8], i4[8])), >(i6160[8], 0)), >(+(i6133[8], 1), 0)), java.lang.Object(ARRAY(i4[8], a45013data[8])), i6133[8], i6160[8], java.lang.Object(java.lang.String(i7126[8])))), ≥))



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

    (53)    (i6133[8] ≥ 0∧i6160[8] + [-1] ≥ 0∧i4[8] + [-1] + [-1]i6133[8] ≥ 0∧i7126[8] + [-1] ≥ 0∧i6133[8] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD23089ARR11(&&(&&(&&(&&(>(i7126[8], 0), >(i6133[8], 0)), <(i6133[8], i4[8])), >(i6160[8], 0)), >(+(i6133[8], 1), 0)), java.lang.Object(ARRAY(i4[8], a45013data[8])), i6133[8], i6160[8], java.lang.Object(java.lang.String(i7126[8])))), ≥)∧[(-2)bni_48 + (-1)Bound*bni_48] + [bni_48]i6160[8] ≥ 0∧[(-1)bso_49] ≥ 0)



    We simplified constraint (53) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (54)    (i6133[8] ≥ 0∧i6160[8] + [-1] ≥ 0∧i4[8] + [-1] + [-1]i6133[8] ≥ 0∧i7126[8] + [-1] ≥ 0∧i6133[8] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD23089ARR11(&&(&&(&&(&&(>(i7126[8], 0), >(i6133[8], 0)), <(i6133[8], i4[8])), >(i6160[8], 0)), >(+(i6133[8], 1), 0)), java.lang.Object(ARRAY(i4[8], a45013data[8])), i6133[8], i6160[8], java.lang.Object(java.lang.String(i7126[8])))), ≥)∧[(-2)bni_48 + (-1)Bound*bni_48] + [bni_48]i6160[8] ≥ 0∧[(-1)bso_49] ≥ 0)



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

    (55)    (i6133[8] ≥ 0∧i6160[8] + [-1] ≥ 0∧i4[8] + [-1] + [-1]i6133[8] ≥ 0∧i7126[8] + [-1] ≥ 0∧i6133[8] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD23089ARR11(&&(&&(&&(&&(>(i7126[8], 0), >(i6133[8], 0)), <(i6133[8], i4[8])), >(i6160[8], 0)), >(+(i6133[8], 1), 0)), java.lang.Object(ARRAY(i4[8], a45013data[8])), i6133[8], i6160[8], java.lang.Object(java.lang.String(i7126[8])))), ≥)∧[(-2)bni_48 + (-1)Bound*bni_48] + [bni_48]i6160[8] ≥ 0∧[(-1)bso_49] ≥ 0)



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

    (56)    (i6133[8] ≥ 0∧i6160[8] + [-1] ≥ 0∧i4[8] + [-1] + [-1]i6133[8] ≥ 0∧i7126[8] + [-1] ≥ 0∧i6133[8] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD23089ARR11(&&(&&(&&(&&(>(i7126[8], 0), >(i6133[8], 0)), <(i6133[8], i4[8])), >(i6160[8], 0)), >(+(i6133[8], 1), 0)), java.lang.Object(ARRAY(i4[8], a45013data[8])), i6133[8], i6160[8], java.lang.Object(java.lang.String(i7126[8])))), ≥)∧0 = 0∧[(-2)bni_48 + (-1)Bound*bni_48] + [bni_48]i6160[8] ≥ 0∧0 = 0∧[(-1)bso_49] ≥ 0)



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

    (57)    ([1] + i6133[8] ≥ 0∧i6160[8] + [-1] ≥ 0∧i4[8] + [-2] + [-1]i6133[8] ≥ 0∧i7126[8] + [-1] ≥ 0∧i6133[8] ≥ 0 ⇒ (UIncreasing(COND_LOAD23089ARR11(&&(&&(&&(&&(>(i7126[8], 0), >(i6133[8], 0)), <(i6133[8], i4[8])), >(i6160[8], 0)), >(+(i6133[8], 1), 0)), java.lang.Object(ARRAY(i4[8], a45013data[8])), i6133[8], i6160[8], java.lang.Object(java.lang.String(i7126[8])))), ≥)∧0 = 0∧[(-2)bni_48 + (-1)Bound*bni_48] + [bni_48]i6160[8] ≥ 0∧0 = 0∧[(-1)bso_49] ≥ 0)



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

    (58)    ([1] + i6133[8] ≥ 0∧i6160[8] ≥ 0∧i4[8] + [-2] + [-1]i6133[8] ≥ 0∧i7126[8] + [-1] ≥ 0∧i6133[8] ≥ 0 ⇒ (UIncreasing(COND_LOAD23089ARR11(&&(&&(&&(&&(>(i7126[8], 0), >(i6133[8], 0)), <(i6133[8], i4[8])), >(i6160[8], 0)), >(+(i6133[8], 1), 0)), java.lang.Object(ARRAY(i4[8], a45013data[8])), i6133[8], i6160[8], java.lang.Object(java.lang.String(i7126[8])))), ≥)∧0 = 0∧[(-1)bni_48 + (-1)Bound*bni_48] + [bni_48]i6160[8] ≥ 0∧0 = 0∧[(-1)bso_49] ≥ 0)



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

    (59)    ([1] + i6133[8] ≥ 0∧i6160[8] ≥ 0∧i4[8] ≥ 0∧i7126[8] + [-1] ≥ 0∧i6133[8] ≥ 0 ⇒ (UIncreasing(COND_LOAD23089ARR11(&&(&&(&&(&&(>(i7126[8], 0), >(i6133[8], 0)), <(i6133[8], i4[8])), >(i6160[8], 0)), >(+(i6133[8], 1), 0)), java.lang.Object(ARRAY(i4[8], a45013data[8])), i6133[8], i6160[8], java.lang.Object(java.lang.String(i7126[8])))), ≥)∧0 = 0∧[(-1)bni_48 + (-1)Bound*bni_48] + [bni_48]i6160[8] ≥ 0∧0 = 0∧[(-1)bso_49] ≥ 0)



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

    (60)    ([1] + i6133[8] ≥ 0∧i6160[8] ≥ 0∧i4[8] ≥ 0∧i7126[8] ≥ 0∧i6133[8] ≥ 0 ⇒ (UIncreasing(COND_LOAD23089ARR11(&&(&&(&&(&&(>(i7126[8], 0), >(i6133[8], 0)), <(i6133[8], i4[8])), >(i6160[8], 0)), >(+(i6133[8], 1), 0)), java.lang.Object(ARRAY(i4[8], a45013data[8])), i6133[8], i6160[8], java.lang.Object(java.lang.String(i7126[8])))), ≥)∧0 = 0∧[(-1)bni_48 + (-1)Bound*bni_48] + [bni_48]i6160[8] ≥ 0∧0 = 0∧[(-1)bso_49] ≥ 0)







For Pair COND_LOAD23089ARR11(TRUE, java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7126))) → LOAD23089(java.lang.Object(ARRAY(i4, a45013data)), +(i6133, 1), +(i6160, -1)) the following chains were created:
  • We consider the chain COND_LOAD23089ARR11(TRUE, java.lang.Object(ARRAY(i4[9], a45013data[9])), i6133[9], i6160[9], java.lang.Object(java.lang.String(i7126[9]))) → LOAD23089(java.lang.Object(ARRAY(i4[9], a45013data[9])), +(i6133[9], 1), +(i6160[9], -1)) which results in the following constraint:

    (61)    (COND_LOAD23089ARR11(TRUE, java.lang.Object(ARRAY(i4[9], a45013data[9])), i6133[9], i6160[9], java.lang.Object(java.lang.String(i7126[9])))≥NonInfC∧COND_LOAD23089ARR11(TRUE, java.lang.Object(ARRAY(i4[9], a45013data[9])), i6133[9], i6160[9], java.lang.Object(java.lang.String(i7126[9])))≥LOAD23089(java.lang.Object(ARRAY(i4[9], a45013data[9])), +(i6133[9], 1), +(i6160[9], -1))∧(UIncreasing(LOAD23089(java.lang.Object(ARRAY(i4[9], a45013data[9])), +(i6133[9], 1), +(i6160[9], -1))), ≥))



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

    (62)    ((UIncreasing(LOAD23089(java.lang.Object(ARRAY(i4[9], a45013data[9])), +(i6133[9], 1), +(i6160[9], -1))), ≥)∧[(-1)bso_51] ≥ 0)



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

    (63)    ((UIncreasing(LOAD23089(java.lang.Object(ARRAY(i4[9], a45013data[9])), +(i6133[9], 1), +(i6160[9], -1))), ≥)∧[(-1)bso_51] ≥ 0)



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

    (64)    ((UIncreasing(LOAD23089(java.lang.Object(ARRAY(i4[9], a45013data[9])), +(i6133[9], 1), +(i6160[9], -1))), ≥)∧[(-1)bso_51] ≥ 0)



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

    (65)    ((UIncreasing(LOAD23089(java.lang.Object(ARRAY(i4[9], a45013data[9])), +(i6133[9], 1), +(i6160[9], -1))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_51] ≥ 0)







For Pair JMP28245'(java.lang.Object(ARRAY(i4, a45013data)), i6441, i6160) → INC28334(java.lang.Object(ARRAY(i4, a45013data)), i6441, i6160) the following chains were created:
  • We consider the chain JMP28245'(java.lang.Object(ARRAY(i4[10], a45013data[10])), i6441[10], i6160[10]) → INC28334(java.lang.Object(ARRAY(i4[10], a45013data[10])), i6441[10], i6160[10]), INC28334(java.lang.Object(ARRAY(i4[3], a45013data[3])), i6441[3], i6160[3]) → LOAD23089(java.lang.Object(ARRAY(i4[3], a45013data[3])), i6441[3], +(i6160[3], -1)) which results in the following constraint:

    (66)    (i6160[10]=i6160[3]∧i6441[10]=i6441[3]∧i4[10]=i4[3]∧a45013data[10]=a45013data[3] ⇒ JMP28245'(java.lang.Object(ARRAY(i4[10], a45013data[10])), i6441[10], i6160[10])≥NonInfC∧JMP28245'(java.lang.Object(ARRAY(i4[10], a45013data[10])), i6441[10], i6160[10])≥INC28334(java.lang.Object(ARRAY(i4[10], a45013data[10])), i6441[10], i6160[10])∧(UIncreasing(INC28334(java.lang.Object(ARRAY(i4[10], a45013data[10])), i6441[10], i6160[10])), ≥))



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

    (67)    (JMP28245'(java.lang.Object(ARRAY(i4[10], a45013data[10])), i6441[10], i6160[10])≥NonInfC∧JMP28245'(java.lang.Object(ARRAY(i4[10], a45013data[10])), i6441[10], i6160[10])≥INC28334(java.lang.Object(ARRAY(i4[10], a45013data[10])), i6441[10], i6160[10])∧(UIncreasing(INC28334(java.lang.Object(ARRAY(i4[10], a45013data[10])), i6441[10], i6160[10])), ≥))



    We simplified constraint (67) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (68)    ((UIncreasing(INC28334(java.lang.Object(ARRAY(i4[10], a45013data[10])), i6441[10], i6160[10])), ≥)∧[(-1)bso_53] ≥ 0)



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

    (69)    ((UIncreasing(INC28334(java.lang.Object(ARRAY(i4[10], a45013data[10])), i6441[10], i6160[10])), ≥)∧[(-1)bso_53] ≥ 0)



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

    (70)    ((UIncreasing(INC28334(java.lang.Object(ARRAY(i4[10], a45013data[10])), i6441[10], i6160[10])), ≥)∧[(-1)bso_53] ≥ 0)



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

    (71)    ((UIncreasing(INC28334(java.lang.Object(ARRAY(i4[10], a45013data[10])), i6441[10], i6160[10])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_53] ≥ 0)







For Pair LOAD23089(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160) → LOAD23089ARR12(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7126))) the following chains were created:
  • We consider the chain LOAD23089(java.lang.Object(ARRAY(i4[11], a45013data[11])), i6133[11], i6160[11]) → LOAD23089ARR12(java.lang.Object(ARRAY(i4[11], a45013data[11])), i6133[11], i6160[11], java.lang.Object(java.lang.String(i7126[11]))) which results in the following constraint:

    (72)    (LOAD23089(java.lang.Object(ARRAY(i4[11], a45013data[11])), i6133[11], i6160[11])≥NonInfC∧LOAD23089(java.lang.Object(ARRAY(i4[11], a45013data[11])), i6133[11], i6160[11])≥LOAD23089ARR12(java.lang.Object(ARRAY(i4[11], a45013data[11])), i6133[11], i6160[11], java.lang.Object(java.lang.String(i7126[11])))∧(UIncreasing(LOAD23089ARR12(java.lang.Object(ARRAY(i4[11], a45013data[11])), i6133[11], i6160[11], java.lang.Object(java.lang.String(i7126[11])))), ≥))



    We simplified constraint (72) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (73)    ((UIncreasing(LOAD23089ARR12(java.lang.Object(ARRAY(i4[11], a45013data[11])), i6133[11], i6160[11], java.lang.Object(java.lang.String(i7126[11])))), ≥)∧[(-1)bso_55] ≥ 0)



    We simplified constraint (73) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (74)    ((UIncreasing(LOAD23089ARR12(java.lang.Object(ARRAY(i4[11], a45013data[11])), i6133[11], i6160[11], java.lang.Object(java.lang.String(i7126[11])))), ≥)∧[(-1)bso_55] ≥ 0)



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

    (75)    ((UIncreasing(LOAD23089ARR12(java.lang.Object(ARRAY(i4[11], a45013data[11])), i6133[11], i6160[11], java.lang.Object(java.lang.String(i7126[11])))), ≥)∧[(-1)bso_55] ≥ 0)



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

    (76)    ((UIncreasing(LOAD23089ARR12(java.lang.Object(ARRAY(i4[11], a45013data[11])), i6133[11], i6160[11], java.lang.Object(java.lang.String(i7126[11])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_55] ≥ 0)







For Pair LOAD23089ARR12(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7126))) → COND_LOAD23089ARR12(&&(&&(&&(&&(>(i7126, 0), >(i6133, 0)), <(i6133, i4)), >(i6160, 0)), >(+(i6133, 1), 0)), java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7126))) the following chains were created:
  • We consider the chain LOAD23089ARR12(java.lang.Object(ARRAY(i4[12], a45013data[12])), i6133[12], i6160[12], java.lang.Object(java.lang.String(i7126[12]))) → COND_LOAD23089ARR12(&&(&&(&&(&&(>(i7126[12], 0), >(i6133[12], 0)), <(i6133[12], i4[12])), >(i6160[12], 0)), >(+(i6133[12], 1), 0)), java.lang.Object(ARRAY(i4[12], a45013data[12])), i6133[12], i6160[12], java.lang.Object(java.lang.String(i7126[12]))), COND_LOAD23089ARR12(TRUE, java.lang.Object(ARRAY(i4[13], a45013data[13])), i6133[13], i6160[13], java.lang.Object(java.lang.String(i7126[13]))) → INC28334(java.lang.Object(ARRAY(i4[13], a45013data[13])), +(i6133[13], 1), i6160[13]) which results in the following constraint:

    (77)    (&&(&&(&&(&&(>(i7126[12], 0), >(i6133[12], 0)), <(i6133[12], i4[12])), >(i6160[12], 0)), >(+(i6133[12], 1), 0))=TRUE∧i4[12]=i4[13]∧a45013data[12]=a45013data[13]∧i6160[12]=i6160[13]∧i6133[12]=i6133[13]∧i7126[12]=i7126[13] ⇒ LOAD23089ARR12(java.lang.Object(ARRAY(i4[12], a45013data[12])), i6133[12], i6160[12], java.lang.Object(java.lang.String(i7126[12])))≥NonInfC∧LOAD23089ARR12(java.lang.Object(ARRAY(i4[12], a45013data[12])), i6133[12], i6160[12], java.lang.Object(java.lang.String(i7126[12])))≥COND_LOAD23089ARR12(&&(&&(&&(&&(>(i7126[12], 0), >(i6133[12], 0)), <(i6133[12], i4[12])), >(i6160[12], 0)), >(+(i6133[12], 1), 0)), java.lang.Object(ARRAY(i4[12], a45013data[12])), i6133[12], i6160[12], java.lang.Object(java.lang.String(i7126[12])))∧(UIncreasing(COND_LOAD23089ARR12(&&(&&(&&(&&(>(i7126[12], 0), >(i6133[12], 0)), <(i6133[12], i4[12])), >(i6160[12], 0)), >(+(i6133[12], 1), 0)), java.lang.Object(ARRAY(i4[12], a45013data[12])), i6133[12], i6160[12], java.lang.Object(java.lang.String(i7126[12])))), ≥))



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

    (78)    (>(+(i6133[12], 1), 0)=TRUE∧>(i6160[12], 0)=TRUE∧<(i6133[12], i4[12])=TRUE∧>(i7126[12], 0)=TRUE∧>(i6133[12], 0)=TRUE ⇒ LOAD23089ARR12(java.lang.Object(ARRAY(i4[12], a45013data[12])), i6133[12], i6160[12], java.lang.Object(java.lang.String(i7126[12])))≥NonInfC∧LOAD23089ARR12(java.lang.Object(ARRAY(i4[12], a45013data[12])), i6133[12], i6160[12], java.lang.Object(java.lang.String(i7126[12])))≥COND_LOAD23089ARR12(&&(&&(&&(&&(>(i7126[12], 0), >(i6133[12], 0)), <(i6133[12], i4[12])), >(i6160[12], 0)), >(+(i6133[12], 1), 0)), java.lang.Object(ARRAY(i4[12], a45013data[12])), i6133[12], i6160[12], java.lang.Object(java.lang.String(i7126[12])))∧(UIncreasing(COND_LOAD23089ARR12(&&(&&(&&(&&(>(i7126[12], 0), >(i6133[12], 0)), <(i6133[12], i4[12])), >(i6160[12], 0)), >(+(i6133[12], 1), 0)), java.lang.Object(ARRAY(i4[12], a45013data[12])), i6133[12], i6160[12], java.lang.Object(java.lang.String(i7126[12])))), ≥))



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

    (79)    (i6133[12] ≥ 0∧i6160[12] + [-1] ≥ 0∧i4[12] + [-1] + [-1]i6133[12] ≥ 0∧i7126[12] + [-1] ≥ 0∧i6133[12] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD23089ARR12(&&(&&(&&(&&(>(i7126[12], 0), >(i6133[12], 0)), <(i6133[12], i4[12])), >(i6160[12], 0)), >(+(i6133[12], 1), 0)), java.lang.Object(ARRAY(i4[12], a45013data[12])), i6133[12], i6160[12], java.lang.Object(java.lang.String(i7126[12])))), ≥)∧[(-1)bni_56 + (-1)Bound*bni_56] + [bni_56]i6160[12] ≥ 0∧[1 + (-1)bso_57] ≥ 0)



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

    (80)    (i6133[12] ≥ 0∧i6160[12] + [-1] ≥ 0∧i4[12] + [-1] + [-1]i6133[12] ≥ 0∧i7126[12] + [-1] ≥ 0∧i6133[12] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD23089ARR12(&&(&&(&&(&&(>(i7126[12], 0), >(i6133[12], 0)), <(i6133[12], i4[12])), >(i6160[12], 0)), >(+(i6133[12], 1), 0)), java.lang.Object(ARRAY(i4[12], a45013data[12])), i6133[12], i6160[12], java.lang.Object(java.lang.String(i7126[12])))), ≥)∧[(-1)bni_56 + (-1)Bound*bni_56] + [bni_56]i6160[12] ≥ 0∧[1 + (-1)bso_57] ≥ 0)



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

    (81)    (i6133[12] ≥ 0∧i6160[12] + [-1] ≥ 0∧i4[12] + [-1] + [-1]i6133[12] ≥ 0∧i7126[12] + [-1] ≥ 0∧i6133[12] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD23089ARR12(&&(&&(&&(&&(>(i7126[12], 0), >(i6133[12], 0)), <(i6133[12], i4[12])), >(i6160[12], 0)), >(+(i6133[12], 1), 0)), java.lang.Object(ARRAY(i4[12], a45013data[12])), i6133[12], i6160[12], java.lang.Object(java.lang.String(i7126[12])))), ≥)∧[(-1)bni_56 + (-1)Bound*bni_56] + [bni_56]i6160[12] ≥ 0∧[1 + (-1)bso_57] ≥ 0)



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

    (82)    (i6133[12] ≥ 0∧i6160[12] + [-1] ≥ 0∧i4[12] + [-1] + [-1]i6133[12] ≥ 0∧i7126[12] + [-1] ≥ 0∧i6133[12] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD23089ARR12(&&(&&(&&(&&(>(i7126[12], 0), >(i6133[12], 0)), <(i6133[12], i4[12])), >(i6160[12], 0)), >(+(i6133[12], 1), 0)), java.lang.Object(ARRAY(i4[12], a45013data[12])), i6133[12], i6160[12], java.lang.Object(java.lang.String(i7126[12])))), ≥)∧0 = 0∧[(-1)bni_56 + (-1)Bound*bni_56] + [bni_56]i6160[12] ≥ 0∧0 = 0∧[1 + (-1)bso_57] ≥ 0)



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

    (83)    ([1] + i6133[12] ≥ 0∧i6160[12] + [-1] ≥ 0∧i4[12] + [-2] + [-1]i6133[12] ≥ 0∧i7126[12] + [-1] ≥ 0∧i6133[12] ≥ 0 ⇒ (UIncreasing(COND_LOAD23089ARR12(&&(&&(&&(&&(>(i7126[12], 0), >(i6133[12], 0)), <(i6133[12], i4[12])), >(i6160[12], 0)), >(+(i6133[12], 1), 0)), java.lang.Object(ARRAY(i4[12], a45013data[12])), i6133[12], i6160[12], java.lang.Object(java.lang.String(i7126[12])))), ≥)∧0 = 0∧[(-1)bni_56 + (-1)Bound*bni_56] + [bni_56]i6160[12] ≥ 0∧0 = 0∧[1 + (-1)bso_57] ≥ 0)



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

    (84)    ([1] + i6133[12] ≥ 0∧i6160[12] ≥ 0∧i4[12] + [-2] + [-1]i6133[12] ≥ 0∧i7126[12] + [-1] ≥ 0∧i6133[12] ≥ 0 ⇒ (UIncreasing(COND_LOAD23089ARR12(&&(&&(&&(&&(>(i7126[12], 0), >(i6133[12], 0)), <(i6133[12], i4[12])), >(i6160[12], 0)), >(+(i6133[12], 1), 0)), java.lang.Object(ARRAY(i4[12], a45013data[12])), i6133[12], i6160[12], java.lang.Object(java.lang.String(i7126[12])))), ≥)∧0 = 0∧[(-1)Bound*bni_56] + [bni_56]i6160[12] ≥ 0∧0 = 0∧[1 + (-1)bso_57] ≥ 0)



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

    (85)    ([1] + i6133[12] ≥ 0∧i6160[12] ≥ 0∧i4[12] ≥ 0∧i7126[12] + [-1] ≥ 0∧i6133[12] ≥ 0 ⇒ (UIncreasing(COND_LOAD23089ARR12(&&(&&(&&(&&(>(i7126[12], 0), >(i6133[12], 0)), <(i6133[12], i4[12])), >(i6160[12], 0)), >(+(i6133[12], 1), 0)), java.lang.Object(ARRAY(i4[12], a45013data[12])), i6133[12], i6160[12], java.lang.Object(java.lang.String(i7126[12])))), ≥)∧0 = 0∧[(-1)Bound*bni_56] + [bni_56]i6160[12] ≥ 0∧0 = 0∧[1 + (-1)bso_57] ≥ 0)



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

    (86)    ([1] + i6133[12] ≥ 0∧i6160[12] ≥ 0∧i4[12] ≥ 0∧i7126[12] ≥ 0∧i6133[12] ≥ 0 ⇒ (UIncreasing(COND_LOAD23089ARR12(&&(&&(&&(&&(>(i7126[12], 0), >(i6133[12], 0)), <(i6133[12], i4[12])), >(i6160[12], 0)), >(+(i6133[12], 1), 0)), java.lang.Object(ARRAY(i4[12], a45013data[12])), i6133[12], i6160[12], java.lang.Object(java.lang.String(i7126[12])))), ≥)∧0 = 0∧[(-1)Bound*bni_56] + [bni_56]i6160[12] ≥ 0∧0 = 0∧[1 + (-1)bso_57] ≥ 0)







For Pair COND_LOAD23089ARR12(TRUE, java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7126))) → INC28334(java.lang.Object(ARRAY(i4, a45013data)), +(i6133, 1), i6160) the following chains were created:
  • We consider the chain COND_LOAD23089ARR12(TRUE, java.lang.Object(ARRAY(i4[13], a45013data[13])), i6133[13], i6160[13], java.lang.Object(java.lang.String(i7126[13]))) → INC28334(java.lang.Object(ARRAY(i4[13], a45013data[13])), +(i6133[13], 1), i6160[13]) which results in the following constraint:

    (87)    (COND_LOAD23089ARR12(TRUE, java.lang.Object(ARRAY(i4[13], a45013data[13])), i6133[13], i6160[13], java.lang.Object(java.lang.String(i7126[13])))≥NonInfC∧COND_LOAD23089ARR12(TRUE, java.lang.Object(ARRAY(i4[13], a45013data[13])), i6133[13], i6160[13], java.lang.Object(java.lang.String(i7126[13])))≥INC28334(java.lang.Object(ARRAY(i4[13], a45013data[13])), +(i6133[13], 1), i6160[13])∧(UIncreasing(INC28334(java.lang.Object(ARRAY(i4[13], a45013data[13])), +(i6133[13], 1), i6160[13])), ≥))



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

    (88)    ((UIncreasing(INC28334(java.lang.Object(ARRAY(i4[13], a45013data[13])), +(i6133[13], 1), i6160[13])), ≥)∧[(-1)bso_59] ≥ 0)



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

    (89)    ((UIncreasing(INC28334(java.lang.Object(ARRAY(i4[13], a45013data[13])), +(i6133[13], 1), i6160[13])), ≥)∧[(-1)bso_59] ≥ 0)



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

    (90)    ((UIncreasing(INC28334(java.lang.Object(ARRAY(i4[13], a45013data[13])), +(i6133[13], 1), i6160[13])), ≥)∧[(-1)bso_59] ≥ 0)



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

    (91)    ((UIncreasing(INC28334(java.lang.Object(ARRAY(i4[13], a45013data[13])), +(i6133[13], 1), i6160[13])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_59] ≥ 0)







For Pair LOAD23089(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160) → LOAD23089ARR13(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7127))) the following chains were created:
  • We consider the chain LOAD23089(java.lang.Object(ARRAY(i4[14], a45013data[14])), i6133[14], i6160[14]) → LOAD23089ARR13(java.lang.Object(ARRAY(i4[14], a45013data[14])), i6133[14], i6160[14], java.lang.Object(java.lang.String(i7127[14]))) which results in the following constraint:

    (92)    (LOAD23089(java.lang.Object(ARRAY(i4[14], a45013data[14])), i6133[14], i6160[14])≥NonInfC∧LOAD23089(java.lang.Object(ARRAY(i4[14], a45013data[14])), i6133[14], i6160[14])≥LOAD23089ARR13(java.lang.Object(ARRAY(i4[14], a45013data[14])), i6133[14], i6160[14], java.lang.Object(java.lang.String(i7127[14])))∧(UIncreasing(LOAD23089ARR13(java.lang.Object(ARRAY(i4[14], a45013data[14])), i6133[14], i6160[14], java.lang.Object(java.lang.String(i7127[14])))), ≥))



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

    (93)    ((UIncreasing(LOAD23089ARR13(java.lang.Object(ARRAY(i4[14], a45013data[14])), i6133[14], i6160[14], java.lang.Object(java.lang.String(i7127[14])))), ≥)∧[1 + (-1)bso_61] ≥ 0)



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

    (94)    ((UIncreasing(LOAD23089ARR13(java.lang.Object(ARRAY(i4[14], a45013data[14])), i6133[14], i6160[14], java.lang.Object(java.lang.String(i7127[14])))), ≥)∧[1 + (-1)bso_61] ≥ 0)



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

    (95)    ((UIncreasing(LOAD23089ARR13(java.lang.Object(ARRAY(i4[14], a45013data[14])), i6133[14], i6160[14], java.lang.Object(java.lang.String(i7127[14])))), ≥)∧[1 + (-1)bso_61] ≥ 0)



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

    (96)    ((UIncreasing(LOAD23089ARR13(java.lang.Object(ARRAY(i4[14], a45013data[14])), i6133[14], i6160[14], java.lang.Object(java.lang.String(i7127[14])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_61] ≥ 0)







For Pair LOAD23089ARR13(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7127))) → COND_LOAD23089ARR13(&&(&&(&&(&&(<=(i7127, 0), >(i6133, 0)), <(i6133, i4)), >(i6160, 0)), >(+(i6133, 1), 0)), java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7127))) the following chains were created:
  • We consider the chain LOAD23089ARR13(java.lang.Object(ARRAY(i4[15], a45013data[15])), i6133[15], i6160[15], java.lang.Object(java.lang.String(i7127[15]))) → COND_LOAD23089ARR13(&&(&&(&&(&&(<=(i7127[15], 0), >(i6133[15], 0)), <(i6133[15], i4[15])), >(i6160[15], 0)), >(+(i6133[15], 1), 0)), java.lang.Object(ARRAY(i4[15], a45013data[15])), i6133[15], i6160[15], java.lang.Object(java.lang.String(i7127[15]))), COND_LOAD23089ARR13(TRUE, java.lang.Object(ARRAY(i4[16], a45013data[16])), i6133[16], i6160[16], java.lang.Object(java.lang.String(i7127[16]))) → INC28334(java.lang.Object(ARRAY(i4[16], a45013data[16])), +(i6133[16], 1), i6160[16]) which results in the following constraint:

    (97)    (i6133[15]=i6133[16]∧i6160[15]=i6160[16]∧i7127[15]=i7127[16]∧&&(&&(&&(&&(<=(i7127[15], 0), >(i6133[15], 0)), <(i6133[15], i4[15])), >(i6160[15], 0)), >(+(i6133[15], 1), 0))=TRUE∧i4[15]=i4[16]∧a45013data[15]=a45013data[16] ⇒ LOAD23089ARR13(java.lang.Object(ARRAY(i4[15], a45013data[15])), i6133[15], i6160[15], java.lang.Object(java.lang.String(i7127[15])))≥NonInfC∧LOAD23089ARR13(java.lang.Object(ARRAY(i4[15], a45013data[15])), i6133[15], i6160[15], java.lang.Object(java.lang.String(i7127[15])))≥COND_LOAD23089ARR13(&&(&&(&&(&&(<=(i7127[15], 0), >(i6133[15], 0)), <(i6133[15], i4[15])), >(i6160[15], 0)), >(+(i6133[15], 1), 0)), java.lang.Object(ARRAY(i4[15], a45013data[15])), i6133[15], i6160[15], java.lang.Object(java.lang.String(i7127[15])))∧(UIncreasing(COND_LOAD23089ARR13(&&(&&(&&(&&(<=(i7127[15], 0), >(i6133[15], 0)), <(i6133[15], i4[15])), >(i6160[15], 0)), >(+(i6133[15], 1), 0)), java.lang.Object(ARRAY(i4[15], a45013data[15])), i6133[15], i6160[15], java.lang.Object(java.lang.String(i7127[15])))), ≥))



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

    (98)    (>(+(i6133[15], 1), 0)=TRUE∧>(i6160[15], 0)=TRUE∧<(i6133[15], i4[15])=TRUE∧<=(i7127[15], 0)=TRUE∧>(i6133[15], 0)=TRUE ⇒ LOAD23089ARR13(java.lang.Object(ARRAY(i4[15], a45013data[15])), i6133[15], i6160[15], java.lang.Object(java.lang.String(i7127[15])))≥NonInfC∧LOAD23089ARR13(java.lang.Object(ARRAY(i4[15], a45013data[15])), i6133[15], i6160[15], java.lang.Object(java.lang.String(i7127[15])))≥COND_LOAD23089ARR13(&&(&&(&&(&&(<=(i7127[15], 0), >(i6133[15], 0)), <(i6133[15], i4[15])), >(i6160[15], 0)), >(+(i6133[15], 1), 0)), java.lang.Object(ARRAY(i4[15], a45013data[15])), i6133[15], i6160[15], java.lang.Object(java.lang.String(i7127[15])))∧(UIncreasing(COND_LOAD23089ARR13(&&(&&(&&(&&(<=(i7127[15], 0), >(i6133[15], 0)), <(i6133[15], i4[15])), >(i6160[15], 0)), >(+(i6133[15], 1), 0)), java.lang.Object(ARRAY(i4[15], a45013data[15])), i6133[15], i6160[15], java.lang.Object(java.lang.String(i7127[15])))), ≥))



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

    (99)    (i6133[15] ≥ 0∧i6160[15] + [-1] ≥ 0∧i4[15] + [-1] + [-1]i6133[15] ≥ 0∧[-1]i7127[15] ≥ 0∧i6133[15] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD23089ARR13(&&(&&(&&(&&(<=(i7127[15], 0), >(i6133[15], 0)), <(i6133[15], i4[15])), >(i6160[15], 0)), >(+(i6133[15], 1), 0)), java.lang.Object(ARRAY(i4[15], a45013data[15])), i6133[15], i6160[15], java.lang.Object(java.lang.String(i7127[15])))), ≥)∧[(-2)bni_62 + (-1)Bound*bni_62] + [bni_62]i6160[15] ≥ 0∧[(-1)bso_63] ≥ 0)



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

    (100)    (i6133[15] ≥ 0∧i6160[15] + [-1] ≥ 0∧i4[15] + [-1] + [-1]i6133[15] ≥ 0∧[-1]i7127[15] ≥ 0∧i6133[15] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD23089ARR13(&&(&&(&&(&&(<=(i7127[15], 0), >(i6133[15], 0)), <(i6133[15], i4[15])), >(i6160[15], 0)), >(+(i6133[15], 1), 0)), java.lang.Object(ARRAY(i4[15], a45013data[15])), i6133[15], i6160[15], java.lang.Object(java.lang.String(i7127[15])))), ≥)∧[(-2)bni_62 + (-1)Bound*bni_62] + [bni_62]i6160[15] ≥ 0∧[(-1)bso_63] ≥ 0)



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

    (101)    (i6133[15] ≥ 0∧i6160[15] + [-1] ≥ 0∧i4[15] + [-1] + [-1]i6133[15] ≥ 0∧[-1]i7127[15] ≥ 0∧i6133[15] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD23089ARR13(&&(&&(&&(&&(<=(i7127[15], 0), >(i6133[15], 0)), <(i6133[15], i4[15])), >(i6160[15], 0)), >(+(i6133[15], 1), 0)), java.lang.Object(ARRAY(i4[15], a45013data[15])), i6133[15], i6160[15], java.lang.Object(java.lang.String(i7127[15])))), ≥)∧[(-2)bni_62 + (-1)Bound*bni_62] + [bni_62]i6160[15] ≥ 0∧[(-1)bso_63] ≥ 0)



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

    (102)    (i6133[15] ≥ 0∧i6160[15] + [-1] ≥ 0∧i4[15] + [-1] + [-1]i6133[15] ≥ 0∧[-1]i7127[15] ≥ 0∧i6133[15] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD23089ARR13(&&(&&(&&(&&(<=(i7127[15], 0), >(i6133[15], 0)), <(i6133[15], i4[15])), >(i6160[15], 0)), >(+(i6133[15], 1), 0)), java.lang.Object(ARRAY(i4[15], a45013data[15])), i6133[15], i6160[15], java.lang.Object(java.lang.String(i7127[15])))), ≥)∧0 = 0∧[(-2)bni_62 + (-1)Bound*bni_62] + [bni_62]i6160[15] ≥ 0∧0 = 0∧[(-1)bso_63] ≥ 0)



    We simplified constraint (102) using rule (IDP_SMT_SPLIT) which results in the following new constraint:

    (103)    ([1] + i6133[15] ≥ 0∧i6160[15] + [-1] ≥ 0∧i4[15] + [-2] + [-1]i6133[15] ≥ 0∧[-1]i7127[15] ≥ 0∧i6133[15] ≥ 0 ⇒ (UIncreasing(COND_LOAD23089ARR13(&&(&&(&&(&&(<=(i7127[15], 0), >(i6133[15], 0)), <(i6133[15], i4[15])), >(i6160[15], 0)), >(+(i6133[15], 1), 0)), java.lang.Object(ARRAY(i4[15], a45013data[15])), i6133[15], i6160[15], java.lang.Object(java.lang.String(i7127[15])))), ≥)∧0 = 0∧[(-2)bni_62 + (-1)Bound*bni_62] + [bni_62]i6160[15] ≥ 0∧0 = 0∧[(-1)bso_63] ≥ 0)



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

    (104)    ([1] + i6133[15] ≥ 0∧i6160[15] ≥ 0∧i4[15] + [-2] + [-1]i6133[15] ≥ 0∧[-1]i7127[15] ≥ 0∧i6133[15] ≥ 0 ⇒ (UIncreasing(COND_LOAD23089ARR13(&&(&&(&&(&&(<=(i7127[15], 0), >(i6133[15], 0)), <(i6133[15], i4[15])), >(i6160[15], 0)), >(+(i6133[15], 1), 0)), java.lang.Object(ARRAY(i4[15], a45013data[15])), i6133[15], i6160[15], java.lang.Object(java.lang.String(i7127[15])))), ≥)∧0 = 0∧[(-1)bni_62 + (-1)Bound*bni_62] + [bni_62]i6160[15] ≥ 0∧0 = 0∧[(-1)bso_63] ≥ 0)



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

    (105)    ([1] + i6133[15] ≥ 0∧i6160[15] ≥ 0∧i4[15] ≥ 0∧[-1]i7127[15] ≥ 0∧i6133[15] ≥ 0 ⇒ (UIncreasing(COND_LOAD23089ARR13(&&(&&(&&(&&(<=(i7127[15], 0), >(i6133[15], 0)), <(i6133[15], i4[15])), >(i6160[15], 0)), >(+(i6133[15], 1), 0)), java.lang.Object(ARRAY(i4[15], a45013data[15])), i6133[15], i6160[15], java.lang.Object(java.lang.String(i7127[15])))), ≥)∧0 = 0∧[(-1)bni_62 + (-1)Bound*bni_62] + [bni_62]i6160[15] ≥ 0∧0 = 0∧[(-1)bso_63] ≥ 0)



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

    (106)    ([1] + i6133[15] ≥ 0∧i6160[15] ≥ 0∧i4[15] ≥ 0∧i7127[15] ≥ 0∧i6133[15] ≥ 0 ⇒ (UIncreasing(COND_LOAD23089ARR13(&&(&&(&&(&&(<=(i7127[15], 0), >(i6133[15], 0)), <(i6133[15], i4[15])), >(i6160[15], 0)), >(+(i6133[15], 1), 0)), java.lang.Object(ARRAY(i4[15], a45013data[15])), i6133[15], i6160[15], java.lang.Object(java.lang.String(i7127[15])))), ≥)∧0 = 0∧[(-1)bni_62 + (-1)Bound*bni_62] + [bni_62]i6160[15] ≥ 0∧0 = 0∧[(-1)bso_63] ≥ 0)







For Pair COND_LOAD23089ARR13(TRUE, java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7127))) → INC28334(java.lang.Object(ARRAY(i4, a45013data)), +(i6133, 1), i6160) the following chains were created:
  • We consider the chain COND_LOAD23089ARR13(TRUE, java.lang.Object(ARRAY(i4[16], a45013data[16])), i6133[16], i6160[16], java.lang.Object(java.lang.String(i7127[16]))) → INC28334(java.lang.Object(ARRAY(i4[16], a45013data[16])), +(i6133[16], 1), i6160[16]) which results in the following constraint:

    (107)    (COND_LOAD23089ARR13(TRUE, java.lang.Object(ARRAY(i4[16], a45013data[16])), i6133[16], i6160[16], java.lang.Object(java.lang.String(i7127[16])))≥NonInfC∧COND_LOAD23089ARR13(TRUE, java.lang.Object(ARRAY(i4[16], a45013data[16])), i6133[16], i6160[16], java.lang.Object(java.lang.String(i7127[16])))≥INC28334(java.lang.Object(ARRAY(i4[16], a45013data[16])), +(i6133[16], 1), i6160[16])∧(UIncreasing(INC28334(java.lang.Object(ARRAY(i4[16], a45013data[16])), +(i6133[16], 1), i6160[16])), ≥))



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

    (108)    ((UIncreasing(INC28334(java.lang.Object(ARRAY(i4[16], a45013data[16])), +(i6133[16], 1), i6160[16])), ≥)∧[(-1)bso_65] ≥ 0)



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

    (109)    ((UIncreasing(INC28334(java.lang.Object(ARRAY(i4[16], a45013data[16])), +(i6133[16], 1), i6160[16])), ≥)∧[(-1)bso_65] ≥ 0)



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

    (110)    ((UIncreasing(INC28334(java.lang.Object(ARRAY(i4[16], a45013data[16])), +(i6133[16], 1), i6160[16])), ≥)∧[(-1)bso_65] ≥ 0)



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

    (111)    ((UIncreasing(INC28334(java.lang.Object(ARRAY(i4[16], a45013data[16])), +(i6133[16], 1), i6160[16])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_65] ≥ 0)







For Pair LOAD23089(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160) → LOAD23089ARR16(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7127))) the following chains were created:
  • We consider the chain LOAD23089(java.lang.Object(ARRAY(i4[17], a45013data[17])), i6133[17], i6160[17]) → LOAD23089ARR16(java.lang.Object(ARRAY(i4[17], a45013data[17])), i6133[17], i6160[17], java.lang.Object(java.lang.String(i7127[17]))) which results in the following constraint:

    (112)    (LOAD23089(java.lang.Object(ARRAY(i4[17], a45013data[17])), i6133[17], i6160[17])≥NonInfC∧LOAD23089(java.lang.Object(ARRAY(i4[17], a45013data[17])), i6133[17], i6160[17])≥LOAD23089ARR16(java.lang.Object(ARRAY(i4[17], a45013data[17])), i6133[17], i6160[17], java.lang.Object(java.lang.String(i7127[17])))∧(UIncreasing(LOAD23089ARR16(java.lang.Object(ARRAY(i4[17], a45013data[17])), i6133[17], i6160[17], java.lang.Object(java.lang.String(i7127[17])))), ≥))



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

    (113)    ((UIncreasing(LOAD23089ARR16(java.lang.Object(ARRAY(i4[17], a45013data[17])), i6133[17], i6160[17], java.lang.Object(java.lang.String(i7127[17])))), ≥)∧[1 + (-1)bso_67] ≥ 0)



    We simplified constraint (113) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (114)    ((UIncreasing(LOAD23089ARR16(java.lang.Object(ARRAY(i4[17], a45013data[17])), i6133[17], i6160[17], java.lang.Object(java.lang.String(i7127[17])))), ≥)∧[1 + (-1)bso_67] ≥ 0)



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

    (115)    ((UIncreasing(LOAD23089ARR16(java.lang.Object(ARRAY(i4[17], a45013data[17])), i6133[17], i6160[17], java.lang.Object(java.lang.String(i7127[17])))), ≥)∧[1 + (-1)bso_67] ≥ 0)



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

    (116)    ((UIncreasing(LOAD23089ARR16(java.lang.Object(ARRAY(i4[17], a45013data[17])), i6133[17], i6160[17], java.lang.Object(java.lang.String(i7127[17])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_67] ≥ 0)







For Pair LOAD23089ARR16(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7127))) → COND_LOAD23089ARR16(&&(&&(&&(&&(<=(i7127, 0), >(i6133, 0)), <(i6133, i4)), >(i6160, 0)), >(+(i6133, 1), 0)), java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7127))) the following chains were created:
  • We consider the chain LOAD23089ARR16(java.lang.Object(ARRAY(i4[18], a45013data[18])), i6133[18], i6160[18], java.lang.Object(java.lang.String(i7127[18]))) → COND_LOAD23089ARR16(&&(&&(&&(&&(<=(i7127[18], 0), >(i6133[18], 0)), <(i6133[18], i4[18])), >(i6160[18], 0)), >(+(i6133[18], 1), 0)), java.lang.Object(ARRAY(i4[18], a45013data[18])), i6133[18], i6160[18], java.lang.Object(java.lang.String(i7127[18]))), COND_LOAD23089ARR16(TRUE, java.lang.Object(ARRAY(i4[19], a45013data[19])), i6133[19], i6160[19], java.lang.Object(java.lang.String(i7127[19]))) → JMP28245'(java.lang.Object(ARRAY(i4[19], a45013data[19])), +(i6133[19], 1), i6160[19]) which results in the following constraint:

    (117)    (i4[18]=i4[19]∧a45013data[18]=a45013data[19]∧i6160[18]=i6160[19]∧i6133[18]=i6133[19]∧&&(&&(&&(&&(<=(i7127[18], 0), >(i6133[18], 0)), <(i6133[18], i4[18])), >(i6160[18], 0)), >(+(i6133[18], 1), 0))=TRUE∧i7127[18]=i7127[19] ⇒ LOAD23089ARR16(java.lang.Object(ARRAY(i4[18], a45013data[18])), i6133[18], i6160[18], java.lang.Object(java.lang.String(i7127[18])))≥NonInfC∧LOAD23089ARR16(java.lang.Object(ARRAY(i4[18], a45013data[18])), i6133[18], i6160[18], java.lang.Object(java.lang.String(i7127[18])))≥COND_LOAD23089ARR16(&&(&&(&&(&&(<=(i7127[18], 0), >(i6133[18], 0)), <(i6133[18], i4[18])), >(i6160[18], 0)), >(+(i6133[18], 1), 0)), java.lang.Object(ARRAY(i4[18], a45013data[18])), i6133[18], i6160[18], java.lang.Object(java.lang.String(i7127[18])))∧(UIncreasing(COND_LOAD23089ARR16(&&(&&(&&(&&(<=(i7127[18], 0), >(i6133[18], 0)), <(i6133[18], i4[18])), >(i6160[18], 0)), >(+(i6133[18], 1), 0)), java.lang.Object(ARRAY(i4[18], a45013data[18])), i6133[18], i6160[18], java.lang.Object(java.lang.String(i7127[18])))), ≥))



    We simplified constraint (117) using rules (IV), (IDP_BOOLEAN) which results in the following new constraint:

    (118)    (>(+(i6133[18], 1), 0)=TRUE∧>(i6160[18], 0)=TRUE∧<(i6133[18], i4[18])=TRUE∧<=(i7127[18], 0)=TRUE∧>(i6133[18], 0)=TRUE ⇒ LOAD23089ARR16(java.lang.Object(ARRAY(i4[18], a45013data[18])), i6133[18], i6160[18], java.lang.Object(java.lang.String(i7127[18])))≥NonInfC∧LOAD23089ARR16(java.lang.Object(ARRAY(i4[18], a45013data[18])), i6133[18], i6160[18], java.lang.Object(java.lang.String(i7127[18])))≥COND_LOAD23089ARR16(&&(&&(&&(&&(<=(i7127[18], 0), >(i6133[18], 0)), <(i6133[18], i4[18])), >(i6160[18], 0)), >(+(i6133[18], 1), 0)), java.lang.Object(ARRAY(i4[18], a45013data[18])), i6133[18], i6160[18], java.lang.Object(java.lang.String(i7127[18])))∧(UIncreasing(COND_LOAD23089ARR16(&&(&&(&&(&&(<=(i7127[18], 0), >(i6133[18], 0)), <(i6133[18], i4[18])), >(i6160[18], 0)), >(+(i6133[18], 1), 0)), java.lang.Object(ARRAY(i4[18], a45013data[18])), i6133[18], i6160[18], java.lang.Object(java.lang.String(i7127[18])))), ≥))



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

    (119)    (i6133[18] ≥ 0∧i6160[18] + [-1] ≥ 0∧i4[18] + [-1] + [-1]i6133[18] ≥ 0∧[-1]i7127[18] ≥ 0∧i6133[18] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD23089ARR16(&&(&&(&&(&&(<=(i7127[18], 0), >(i6133[18], 0)), <(i6133[18], i4[18])), >(i6160[18], 0)), >(+(i6133[18], 1), 0)), java.lang.Object(ARRAY(i4[18], a45013data[18])), i6133[18], i6160[18], java.lang.Object(java.lang.String(i7127[18])))), ≥)∧[(-2)bni_68 + (-1)Bound*bni_68] + [bni_68]i6160[18] ≥ 0∧[(-1)bso_69] ≥ 0)



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

    (120)    (i6133[18] ≥ 0∧i6160[18] + [-1] ≥ 0∧i4[18] + [-1] + [-1]i6133[18] ≥ 0∧[-1]i7127[18] ≥ 0∧i6133[18] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD23089ARR16(&&(&&(&&(&&(<=(i7127[18], 0), >(i6133[18], 0)), <(i6133[18], i4[18])), >(i6160[18], 0)), >(+(i6133[18], 1), 0)), java.lang.Object(ARRAY(i4[18], a45013data[18])), i6133[18], i6160[18], java.lang.Object(java.lang.String(i7127[18])))), ≥)∧[(-2)bni_68 + (-1)Bound*bni_68] + [bni_68]i6160[18] ≥ 0∧[(-1)bso_69] ≥ 0)



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

    (121)    (i6133[18] ≥ 0∧i6160[18] + [-1] ≥ 0∧i4[18] + [-1] + [-1]i6133[18] ≥ 0∧[-1]i7127[18] ≥ 0∧i6133[18] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD23089ARR16(&&(&&(&&(&&(<=(i7127[18], 0), >(i6133[18], 0)), <(i6133[18], i4[18])), >(i6160[18], 0)), >(+(i6133[18], 1), 0)), java.lang.Object(ARRAY(i4[18], a45013data[18])), i6133[18], i6160[18], java.lang.Object(java.lang.String(i7127[18])))), ≥)∧[(-2)bni_68 + (-1)Bound*bni_68] + [bni_68]i6160[18] ≥ 0∧[(-1)bso_69] ≥ 0)



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

    (122)    (i6133[18] ≥ 0∧i6160[18] + [-1] ≥ 0∧i4[18] + [-1] + [-1]i6133[18] ≥ 0∧[-1]i7127[18] ≥ 0∧i6133[18] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD23089ARR16(&&(&&(&&(&&(<=(i7127[18], 0), >(i6133[18], 0)), <(i6133[18], i4[18])), >(i6160[18], 0)), >(+(i6133[18], 1), 0)), java.lang.Object(ARRAY(i4[18], a45013data[18])), i6133[18], i6160[18], java.lang.Object(java.lang.String(i7127[18])))), ≥)∧0 = 0∧[(-2)bni_68 + (-1)Bound*bni_68] + [bni_68]i6160[18] ≥ 0∧0 = 0∧[(-1)bso_69] ≥ 0)



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

    (123)    ([1] + i6133[18] ≥ 0∧i6160[18] + [-1] ≥ 0∧i4[18] + [-2] + [-1]i6133[18] ≥ 0∧[-1]i7127[18] ≥ 0∧i6133[18] ≥ 0 ⇒ (UIncreasing(COND_LOAD23089ARR16(&&(&&(&&(&&(<=(i7127[18], 0), >(i6133[18], 0)), <(i6133[18], i4[18])), >(i6160[18], 0)), >(+(i6133[18], 1), 0)), java.lang.Object(ARRAY(i4[18], a45013data[18])), i6133[18], i6160[18], java.lang.Object(java.lang.String(i7127[18])))), ≥)∧0 = 0∧[(-2)bni_68 + (-1)Bound*bni_68] + [bni_68]i6160[18] ≥ 0∧0 = 0∧[(-1)bso_69] ≥ 0)



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

    (124)    ([1] + i6133[18] ≥ 0∧i6160[18] ≥ 0∧i4[18] + [-2] + [-1]i6133[18] ≥ 0∧[-1]i7127[18] ≥ 0∧i6133[18] ≥ 0 ⇒ (UIncreasing(COND_LOAD23089ARR16(&&(&&(&&(&&(<=(i7127[18], 0), >(i6133[18], 0)), <(i6133[18], i4[18])), >(i6160[18], 0)), >(+(i6133[18], 1), 0)), java.lang.Object(ARRAY(i4[18], a45013data[18])), i6133[18], i6160[18], java.lang.Object(java.lang.String(i7127[18])))), ≥)∧0 = 0∧[(-1)bni_68 + (-1)Bound*bni_68] + [bni_68]i6160[18] ≥ 0∧0 = 0∧[(-1)bso_69] ≥ 0)



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

    (125)    ([1] + i6133[18] ≥ 0∧i6160[18] ≥ 0∧i4[18] ≥ 0∧[-1]i7127[18] ≥ 0∧i6133[18] ≥ 0 ⇒ (UIncreasing(COND_LOAD23089ARR16(&&(&&(&&(&&(<=(i7127[18], 0), >(i6133[18], 0)), <(i6133[18], i4[18])), >(i6160[18], 0)), >(+(i6133[18], 1), 0)), java.lang.Object(ARRAY(i4[18], a45013data[18])), i6133[18], i6160[18], java.lang.Object(java.lang.String(i7127[18])))), ≥)∧0 = 0∧[(-1)bni_68 + (-1)Bound*bni_68] + [bni_68]i6160[18] ≥ 0∧0 = 0∧[(-1)bso_69] ≥ 0)



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

    (126)    ([1] + i6133[18] ≥ 0∧i6160[18] ≥ 0∧i4[18] ≥ 0∧i7127[18] ≥ 0∧i6133[18] ≥ 0 ⇒ (UIncreasing(COND_LOAD23089ARR16(&&(&&(&&(&&(<=(i7127[18], 0), >(i6133[18], 0)), <(i6133[18], i4[18])), >(i6160[18], 0)), >(+(i6133[18], 1), 0)), java.lang.Object(ARRAY(i4[18], a45013data[18])), i6133[18], i6160[18], java.lang.Object(java.lang.String(i7127[18])))), ≥)∧0 = 0∧[(-1)bni_68 + (-1)Bound*bni_68] + [bni_68]i6160[18] ≥ 0∧0 = 0∧[(-1)bso_69] ≥ 0)







For Pair COND_LOAD23089ARR16(TRUE, java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7127))) → JMP28245'(java.lang.Object(ARRAY(i4, a45013data)), +(i6133, 1), i6160) the following chains were created:
  • We consider the chain COND_LOAD23089ARR16(TRUE, java.lang.Object(ARRAY(i4[19], a45013data[19])), i6133[19], i6160[19], java.lang.Object(java.lang.String(i7127[19]))) → JMP28245'(java.lang.Object(ARRAY(i4[19], a45013data[19])), +(i6133[19], 1), i6160[19]) which results in the following constraint:

    (127)    (COND_LOAD23089ARR16(TRUE, java.lang.Object(ARRAY(i4[19], a45013data[19])), i6133[19], i6160[19], java.lang.Object(java.lang.String(i7127[19])))≥NonInfC∧COND_LOAD23089ARR16(TRUE, java.lang.Object(ARRAY(i4[19], a45013data[19])), i6133[19], i6160[19], java.lang.Object(java.lang.String(i7127[19])))≥JMP28245'(java.lang.Object(ARRAY(i4[19], a45013data[19])), +(i6133[19], 1), i6160[19])∧(UIncreasing(JMP28245'(java.lang.Object(ARRAY(i4[19], a45013data[19])), +(i6133[19], 1), i6160[19])), ≥))



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

    (128)    ((UIncreasing(JMP28245'(java.lang.Object(ARRAY(i4[19], a45013data[19])), +(i6133[19], 1), i6160[19])), ≥)∧[(-1)bso_71] ≥ 0)



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

    (129)    ((UIncreasing(JMP28245'(java.lang.Object(ARRAY(i4[19], a45013data[19])), +(i6133[19], 1), i6160[19])), ≥)∧[(-1)bso_71] ≥ 0)



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

    (130)    ((UIncreasing(JMP28245'(java.lang.Object(ARRAY(i4[19], a45013data[19])), +(i6133[19], 1), i6160[19])), ≥)∧[(-1)bso_71] ≥ 0)



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

    (131)    ((UIncreasing(JMP28245'(java.lang.Object(ARRAY(i4[19], a45013data[19])), +(i6133[19], 1), i6160[19])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_71] ≥ 0)







To summarize, we get the following constraints P≥ for the following pairs.
  • LOAD23089(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160) → LOAD23089ARR9(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7126)))
    • ((UIncreasing(LOAD23089ARR9(java.lang.Object(ARRAY(i4[0], a45013data[0])), i6133[0], i6160[0], java.lang.Object(java.lang.String(i7126[0])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_33] ≥ 0)

  • LOAD23089ARR9(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7126))) → COND_LOAD23089ARR9(&&(&&(&&(&&(>(i7126, 0), >(i6133, 0)), <(i6133, i4)), >(i6160, 0)), >(+(i6133, 1), 0)), java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7126)))
    • ([1] + i6133[1] ≥ 0∧i6160[1] ≥ 0∧i4[1] ≥ 0∧i7126[1] ≥ 0∧i6133[1] ≥ 0 ⇒ (UIncreasing(COND_LOAD23089ARR9(&&(&&(&&(&&(>(i7126[1], 0), >(i6133[1], 0)), <(i6133[1], i4[1])), >(i6160[1], 0)), >(+(i6133[1], 1), 0)), java.lang.Object(ARRAY(i4[1], a45013data[1])), i6133[1], i6160[1], java.lang.Object(java.lang.String(i7126[1])))), ≥)∧0 = 0∧[(-1)Bound*bni_34] + [bni_34]i6160[1] ≥ 0∧0 = 0∧[1 + (-1)bso_35] ≥ 0)

  • COND_LOAD23089ARR9(TRUE, java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7126))) → JMP28245'(java.lang.Object(ARRAY(i4, a45013data)), +(i6133, 1), i6160)
    • ((UIncreasing(JMP28245'(java.lang.Object(ARRAY(i4[2], a45013data[2])), +(i6133[2], 1), i6160[2])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_37] ≥ 0)

  • INC28334(java.lang.Object(ARRAY(i4, a45013data)), i6441, i6160) → LOAD23089(java.lang.Object(ARRAY(i4, a45013data)), i6441, +(i6160, -1))
    • ((UIncreasing(LOAD23089(java.lang.Object(ARRAY(i4[3], a45013data[3])), i6441[3], +(i6160[3], -1))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_39] ≥ 0)

  • LOAD23089(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160) → LOAD23089ARR10(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7127)))
    • ((UIncreasing(LOAD23089ARR10(java.lang.Object(ARRAY(i4[4], a45013data[4])), i6133[4], i6160[4], java.lang.Object(java.lang.String(i7127[4])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_41] ≥ 0)

  • LOAD23089ARR10(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7127))) → COND_LOAD23089ARR10(&&(&&(&&(&&(<=(i7127, 0), >(i6133, 0)), <(i6133, i4)), >(i6160, 0)), >(+(i6133, 1), 0)), java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7127)))
    • ([1] + i6133[5] ≥ 0∧i6160[5] ≥ 0∧i4[5] ≥ 0∧i7127[5] ≥ 0∧i6133[5] ≥ 0 ⇒ (UIncreasing(COND_LOAD23089ARR10(&&(&&(&&(&&(<=(i7127[5], 0), >(i6133[5], 0)), <(i6133[5], i4[5])), >(i6160[5], 0)), >(+(i6133[5], 1), 0)), java.lang.Object(ARRAY(i4[5], a45013data[5])), i6133[5], i6160[5], java.lang.Object(java.lang.String(i7127[5])))), ≥)∧0 = 0∧[(-1)bni_42 + (-1)Bound*bni_42] + [bni_42]i6160[5] ≥ 0∧0 = 0∧[(-1)bso_43] ≥ 0)

  • COND_LOAD23089ARR10(TRUE, java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7127))) → LOAD23089(java.lang.Object(ARRAY(i4, a45013data)), +(i6133, 1), +(i6160, -1))
    • ((UIncreasing(LOAD23089(java.lang.Object(ARRAY(i4[6], a45013data[6])), +(i6133[6], 1), +(i6160[6], -1))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_45] ≥ 0)

  • LOAD23089(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160) → LOAD23089ARR11(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7126)))
    • ((UIncreasing(LOAD23089ARR11(java.lang.Object(ARRAY(i4[7], a45013data[7])), i6133[7], i6160[7], java.lang.Object(java.lang.String(i7126[7])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_47] ≥ 0)

  • LOAD23089ARR11(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7126))) → COND_LOAD23089ARR11(&&(&&(&&(&&(>(i7126, 0), >(i6133, 0)), <(i6133, i4)), >(i6160, 0)), >(+(i6133, 1), 0)), java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7126)))
    • ([1] + i6133[8] ≥ 0∧i6160[8] ≥ 0∧i4[8] ≥ 0∧i7126[8] ≥ 0∧i6133[8] ≥ 0 ⇒ (UIncreasing(COND_LOAD23089ARR11(&&(&&(&&(&&(>(i7126[8], 0), >(i6133[8], 0)), <(i6133[8], i4[8])), >(i6160[8], 0)), >(+(i6133[8], 1), 0)), java.lang.Object(ARRAY(i4[8], a45013data[8])), i6133[8], i6160[8], java.lang.Object(java.lang.String(i7126[8])))), ≥)∧0 = 0∧[(-1)bni_48 + (-1)Bound*bni_48] + [bni_48]i6160[8] ≥ 0∧0 = 0∧[(-1)bso_49] ≥ 0)

  • COND_LOAD23089ARR11(TRUE, java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7126))) → LOAD23089(java.lang.Object(ARRAY(i4, a45013data)), +(i6133, 1), +(i6160, -1))
    • ((UIncreasing(LOAD23089(java.lang.Object(ARRAY(i4[9], a45013data[9])), +(i6133[9], 1), +(i6160[9], -1))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_51] ≥ 0)

  • JMP28245'(java.lang.Object(ARRAY(i4, a45013data)), i6441, i6160) → INC28334(java.lang.Object(ARRAY(i4, a45013data)), i6441, i6160)
    • ((UIncreasing(INC28334(java.lang.Object(ARRAY(i4[10], a45013data[10])), i6441[10], i6160[10])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_53] ≥ 0)

  • LOAD23089(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160) → LOAD23089ARR12(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7126)))
    • ((UIncreasing(LOAD23089ARR12(java.lang.Object(ARRAY(i4[11], a45013data[11])), i6133[11], i6160[11], java.lang.Object(java.lang.String(i7126[11])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_55] ≥ 0)

  • LOAD23089ARR12(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7126))) → COND_LOAD23089ARR12(&&(&&(&&(&&(>(i7126, 0), >(i6133, 0)), <(i6133, i4)), >(i6160, 0)), >(+(i6133, 1), 0)), java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7126)))
    • ([1] + i6133[12] ≥ 0∧i6160[12] ≥ 0∧i4[12] ≥ 0∧i7126[12] ≥ 0∧i6133[12] ≥ 0 ⇒ (UIncreasing(COND_LOAD23089ARR12(&&(&&(&&(&&(>(i7126[12], 0), >(i6133[12], 0)), <(i6133[12], i4[12])), >(i6160[12], 0)), >(+(i6133[12], 1), 0)), java.lang.Object(ARRAY(i4[12], a45013data[12])), i6133[12], i6160[12], java.lang.Object(java.lang.String(i7126[12])))), ≥)∧0 = 0∧[(-1)Bound*bni_56] + [bni_56]i6160[12] ≥ 0∧0 = 0∧[1 + (-1)bso_57] ≥ 0)

  • COND_LOAD23089ARR12(TRUE, java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7126))) → INC28334(java.lang.Object(ARRAY(i4, a45013data)), +(i6133, 1), i6160)
    • ((UIncreasing(INC28334(java.lang.Object(ARRAY(i4[13], a45013data[13])), +(i6133[13], 1), i6160[13])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_59] ≥ 0)

  • LOAD23089(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160) → LOAD23089ARR13(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7127)))
    • ((UIncreasing(LOAD23089ARR13(java.lang.Object(ARRAY(i4[14], a45013data[14])), i6133[14], i6160[14], java.lang.Object(java.lang.String(i7127[14])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_61] ≥ 0)

  • LOAD23089ARR13(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7127))) → COND_LOAD23089ARR13(&&(&&(&&(&&(<=(i7127, 0), >(i6133, 0)), <(i6133, i4)), >(i6160, 0)), >(+(i6133, 1), 0)), java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7127)))
    • ([1] + i6133[15] ≥ 0∧i6160[15] ≥ 0∧i4[15] ≥ 0∧i7127[15] ≥ 0∧i6133[15] ≥ 0 ⇒ (UIncreasing(COND_LOAD23089ARR13(&&(&&(&&(&&(<=(i7127[15], 0), >(i6133[15], 0)), <(i6133[15], i4[15])), >(i6160[15], 0)), >(+(i6133[15], 1), 0)), java.lang.Object(ARRAY(i4[15], a45013data[15])), i6133[15], i6160[15], java.lang.Object(java.lang.String(i7127[15])))), ≥)∧0 = 0∧[(-1)bni_62 + (-1)Bound*bni_62] + [bni_62]i6160[15] ≥ 0∧0 = 0∧[(-1)bso_63] ≥ 0)

  • COND_LOAD23089ARR13(TRUE, java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7127))) → INC28334(java.lang.Object(ARRAY(i4, a45013data)), +(i6133, 1), i6160)
    • ((UIncreasing(INC28334(java.lang.Object(ARRAY(i4[16], a45013data[16])), +(i6133[16], 1), i6160[16])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_65] ≥ 0)

  • LOAD23089(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160) → LOAD23089ARR16(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7127)))
    • ((UIncreasing(LOAD23089ARR16(java.lang.Object(ARRAY(i4[17], a45013data[17])), i6133[17], i6160[17], java.lang.Object(java.lang.String(i7127[17])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_67] ≥ 0)

  • LOAD23089ARR16(java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7127))) → COND_LOAD23089ARR16(&&(&&(&&(&&(<=(i7127, 0), >(i6133, 0)), <(i6133, i4)), >(i6160, 0)), >(+(i6133, 1), 0)), java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7127)))
    • ([1] + i6133[18] ≥ 0∧i6160[18] ≥ 0∧i4[18] ≥ 0∧i7127[18] ≥ 0∧i6133[18] ≥ 0 ⇒ (UIncreasing(COND_LOAD23089ARR16(&&(&&(&&(&&(<=(i7127[18], 0), >(i6133[18], 0)), <(i6133[18], i4[18])), >(i6160[18], 0)), >(+(i6133[18], 1), 0)), java.lang.Object(ARRAY(i4[18], a45013data[18])), i6133[18], i6160[18], java.lang.Object(java.lang.String(i7127[18])))), ≥)∧0 = 0∧[(-1)bni_68 + (-1)Bound*bni_68] + [bni_68]i6160[18] ≥ 0∧0 = 0∧[(-1)bso_69] ≥ 0)

  • COND_LOAD23089ARR16(TRUE, java.lang.Object(ARRAY(i4, a45013data)), i6133, i6160, java.lang.Object(java.lang.String(i7127))) → JMP28245'(java.lang.Object(ARRAY(i4, a45013data)), +(i6133, 1), i6160)
    • ((UIncreasing(JMP28245'(java.lang.Object(ARRAY(i4[19], a45013data[19])), +(i6133[19], 1), i6160[19])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_71] ≥ 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(LOAD23089(x1, x2, x3)) = x3 + [-1]x1   
POL(java.lang.Object(x1)) = x1   
POL(ARRAY(x1, x2)) = [1]   
POL(LOAD23089ARR9(x1, x2, x3, x4)) = x3 + [-1]x1   
POL(java.lang.String(x1)) = x1   
POL(COND_LOAD23089ARR9(x1, x2, x3, x4, x5)) = [-1] + x4 + [-1]x2   
POL(&&(x1, x2)) = [-1]   
POL(>(x1, x2)) = [-1]   
POL(0) = 0   
POL(<(x1, x2)) = [-1]   
POL(+(x1, x2)) = x1 + x2   
POL(1) = [1]   
POL(JMP28245'(x1, x2, x3)) = [-1] + x3 + [-1]x1   
POL(INC28334(x1, x2, x3)) = [-1] + [-1]x1 + x3   
POL(-1) = [-1]   
POL(LOAD23089ARR10(x1, x2, x3, x4)) = [-1] + x3 + [-1]x1   
POL(COND_LOAD23089ARR10(x1, x2, x3, x4, x5)) = [-1] + x4 + [-1]x2   
POL(<=(x1, x2)) = [-1]   
POL(LOAD23089ARR11(x1, x2, x3, x4)) = [-1] + x3 + [-1]x1   
POL(COND_LOAD23089ARR11(x1, x2, x3, x4, x5)) = [-1] + x4 + [-1]x2   
POL(LOAD23089ARR12(x1, x2, x3, x4)) = x3 + [-1]x1   
POL(COND_LOAD23089ARR12(x1, x2, x3, x4, x5)) = [-1] + x4 + [-1]x2   
POL(LOAD23089ARR13(x1, x2, x3, x4)) = [-1] + x3 + [-1]x1   
POL(COND_LOAD23089ARR13(x1, x2, x3, x4, x5)) = [-1] + x4 + [-1]x2   
POL(LOAD23089ARR16(x1, x2, x3, x4)) = [-1] + x3 + [-1]x1   
POL(COND_LOAD23089ARR16(x1, x2, x3, x4, x5)) = [-1] + x4 + [-1]x2   

The following pairs are in P>:

LOAD23089ARR9(java.lang.Object(ARRAY(i4[1], a45013data[1])), i6133[1], i6160[1], java.lang.Object(java.lang.String(i7126[1]))) → COND_LOAD23089ARR9(&&(&&(&&(&&(>(i7126[1], 0), >(i6133[1], 0)), <(i6133[1], i4[1])), >(i6160[1], 0)), >(+(i6133[1], 1), 0)), java.lang.Object(ARRAY(i4[1], a45013data[1])), i6133[1], i6160[1], java.lang.Object(java.lang.String(i7126[1])))
LOAD23089(java.lang.Object(ARRAY(i4[4], a45013data[4])), i6133[4], i6160[4]) → LOAD23089ARR10(java.lang.Object(ARRAY(i4[4], a45013data[4])), i6133[4], i6160[4], java.lang.Object(java.lang.String(i7127[4])))
LOAD23089(java.lang.Object(ARRAY(i4[7], a45013data[7])), i6133[7], i6160[7]) → LOAD23089ARR11(java.lang.Object(ARRAY(i4[7], a45013data[7])), i6133[7], i6160[7], java.lang.Object(java.lang.String(i7126[7])))
LOAD23089ARR12(java.lang.Object(ARRAY(i4[12], a45013data[12])), i6133[12], i6160[12], java.lang.Object(java.lang.String(i7126[12]))) → COND_LOAD23089ARR12(&&(&&(&&(&&(>(i7126[12], 0), >(i6133[12], 0)), <(i6133[12], i4[12])), >(i6160[12], 0)), >(+(i6133[12], 1), 0)), java.lang.Object(ARRAY(i4[12], a45013data[12])), i6133[12], i6160[12], java.lang.Object(java.lang.String(i7126[12])))
LOAD23089(java.lang.Object(ARRAY(i4[14], a45013data[14])), i6133[14], i6160[14]) → LOAD23089ARR13(java.lang.Object(ARRAY(i4[14], a45013data[14])), i6133[14], i6160[14], java.lang.Object(java.lang.String(i7127[14])))
LOAD23089(java.lang.Object(ARRAY(i4[17], a45013data[17])), i6133[17], i6160[17]) → LOAD23089ARR16(java.lang.Object(ARRAY(i4[17], a45013data[17])), i6133[17], i6160[17], java.lang.Object(java.lang.String(i7127[17])))

The following pairs are in Pbound:

LOAD23089ARR9(java.lang.Object(ARRAY(i4[1], a45013data[1])), i6133[1], i6160[1], java.lang.Object(java.lang.String(i7126[1]))) → COND_LOAD23089ARR9(&&(&&(&&(&&(>(i7126[1], 0), >(i6133[1], 0)), <(i6133[1], i4[1])), >(i6160[1], 0)), >(+(i6133[1], 1), 0)), java.lang.Object(ARRAY(i4[1], a45013data[1])), i6133[1], i6160[1], java.lang.Object(java.lang.String(i7126[1])))
LOAD23089ARR10(java.lang.Object(ARRAY(i4[5], a45013data[5])), i6133[5], i6160[5], java.lang.Object(java.lang.String(i7127[5]))) → COND_LOAD23089ARR10(&&(&&(&&(&&(<=(i7127[5], 0), >(i6133[5], 0)), <(i6133[5], i4[5])), >(i6160[5], 0)), >(+(i6133[5], 1), 0)), java.lang.Object(ARRAY(i4[5], a45013data[5])), i6133[5], i6160[5], java.lang.Object(java.lang.String(i7127[5])))
LOAD23089ARR11(java.lang.Object(ARRAY(i4[8], a45013data[8])), i6133[8], i6160[8], java.lang.Object(java.lang.String(i7126[8]))) → COND_LOAD23089ARR11(&&(&&(&&(&&(>(i7126[8], 0), >(i6133[8], 0)), <(i6133[8], i4[8])), >(i6160[8], 0)), >(+(i6133[8], 1), 0)), java.lang.Object(ARRAY(i4[8], a45013data[8])), i6133[8], i6160[8], java.lang.Object(java.lang.String(i7126[8])))
LOAD23089ARR12(java.lang.Object(ARRAY(i4[12], a45013data[12])), i6133[12], i6160[12], java.lang.Object(java.lang.String(i7126[12]))) → COND_LOAD23089ARR12(&&(&&(&&(&&(>(i7126[12], 0), >(i6133[12], 0)), <(i6133[12], i4[12])), >(i6160[12], 0)), >(+(i6133[12], 1), 0)), java.lang.Object(ARRAY(i4[12], a45013data[12])), i6133[12], i6160[12], java.lang.Object(java.lang.String(i7126[12])))
LOAD23089ARR13(java.lang.Object(ARRAY(i4[15], a45013data[15])), i6133[15], i6160[15], java.lang.Object(java.lang.String(i7127[15]))) → COND_LOAD23089ARR13(&&(&&(&&(&&(<=(i7127[15], 0), >(i6133[15], 0)), <(i6133[15], i4[15])), >(i6160[15], 0)), >(+(i6133[15], 1), 0)), java.lang.Object(ARRAY(i4[15], a45013data[15])), i6133[15], i6160[15], java.lang.Object(java.lang.String(i7127[15])))
LOAD23089ARR16(java.lang.Object(ARRAY(i4[18], a45013data[18])), i6133[18], i6160[18], java.lang.Object(java.lang.String(i7127[18]))) → COND_LOAD23089ARR16(&&(&&(&&(&&(<=(i7127[18], 0), >(i6133[18], 0)), <(i6133[18], i4[18])), >(i6160[18], 0)), >(+(i6133[18], 1), 0)), java.lang.Object(ARRAY(i4[18], a45013data[18])), i6133[18], i6160[18], java.lang.Object(java.lang.String(i7127[18])))

The following pairs are in P≥:

LOAD23089(java.lang.Object(ARRAY(i4[0], a45013data[0])), i6133[0], i6160[0]) → LOAD23089ARR9(java.lang.Object(ARRAY(i4[0], a45013data[0])), i6133[0], i6160[0], java.lang.Object(java.lang.String(i7126[0])))
COND_LOAD23089ARR9(TRUE, java.lang.Object(ARRAY(i4[2], a45013data[2])), i6133[2], i6160[2], java.lang.Object(java.lang.String(i7126[2]))) → JMP28245'(java.lang.Object(ARRAY(i4[2], a45013data[2])), +(i6133[2], 1), i6160[2])
INC28334(java.lang.Object(ARRAY(i4[3], a45013data[3])), i6441[3], i6160[3]) → LOAD23089(java.lang.Object(ARRAY(i4[3], a45013data[3])), i6441[3], +(i6160[3], -1))
LOAD23089ARR10(java.lang.Object(ARRAY(i4[5], a45013data[5])), i6133[5], i6160[5], java.lang.Object(java.lang.String(i7127[5]))) → COND_LOAD23089ARR10(&&(&&(&&(&&(<=(i7127[5], 0), >(i6133[5], 0)), <(i6133[5], i4[5])), >(i6160[5], 0)), >(+(i6133[5], 1), 0)), java.lang.Object(ARRAY(i4[5], a45013data[5])), i6133[5], i6160[5], java.lang.Object(java.lang.String(i7127[5])))
COND_LOAD23089ARR10(TRUE, java.lang.Object(ARRAY(i4[6], a45013data[6])), i6133[6], i6160[6], java.lang.Object(java.lang.String(i7127[6]))) → LOAD23089(java.lang.Object(ARRAY(i4[6], a45013data[6])), +(i6133[6], 1), +(i6160[6], -1))
LOAD23089ARR11(java.lang.Object(ARRAY(i4[8], a45013data[8])), i6133[8], i6160[8], java.lang.Object(java.lang.String(i7126[8]))) → COND_LOAD23089ARR11(&&(&&(&&(&&(>(i7126[8], 0), >(i6133[8], 0)), <(i6133[8], i4[8])), >(i6160[8], 0)), >(+(i6133[8], 1), 0)), java.lang.Object(ARRAY(i4[8], a45013data[8])), i6133[8], i6160[8], java.lang.Object(java.lang.String(i7126[8])))
COND_LOAD23089ARR11(TRUE, java.lang.Object(ARRAY(i4[9], a45013data[9])), i6133[9], i6160[9], java.lang.Object(java.lang.String(i7126[9]))) → LOAD23089(java.lang.Object(ARRAY(i4[9], a45013data[9])), +(i6133[9], 1), +(i6160[9], -1))
JMP28245'(java.lang.Object(ARRAY(i4[10], a45013data[10])), i6441[10], i6160[10]) → INC28334(java.lang.Object(ARRAY(i4[10], a45013data[10])), i6441[10], i6160[10])
LOAD23089(java.lang.Object(ARRAY(i4[11], a45013data[11])), i6133[11], i6160[11]) → LOAD23089ARR12(java.lang.Object(ARRAY(i4[11], a45013data[11])), i6133[11], i6160[11], java.lang.Object(java.lang.String(i7126[11])))
COND_LOAD23089ARR12(TRUE, java.lang.Object(ARRAY(i4[13], a45013data[13])), i6133[13], i6160[13], java.lang.Object(java.lang.String(i7126[13]))) → INC28334(java.lang.Object(ARRAY(i4[13], a45013data[13])), +(i6133[13], 1), i6160[13])
LOAD23089ARR13(java.lang.Object(ARRAY(i4[15], a45013data[15])), i6133[15], i6160[15], java.lang.Object(java.lang.String(i7127[15]))) → COND_LOAD23089ARR13(&&(&&(&&(&&(<=(i7127[15], 0), >(i6133[15], 0)), <(i6133[15], i4[15])), >(i6160[15], 0)), >(+(i6133[15], 1), 0)), java.lang.Object(ARRAY(i4[15], a45013data[15])), i6133[15], i6160[15], java.lang.Object(java.lang.String(i7127[15])))
COND_LOAD23089ARR13(TRUE, java.lang.Object(ARRAY(i4[16], a45013data[16])), i6133[16], i6160[16], java.lang.Object(java.lang.String(i7127[16]))) → INC28334(java.lang.Object(ARRAY(i4[16], a45013data[16])), +(i6133[16], 1), i6160[16])
LOAD23089ARR16(java.lang.Object(ARRAY(i4[18], a45013data[18])), i6133[18], i6160[18], java.lang.Object(java.lang.String(i7127[18]))) → COND_LOAD23089ARR16(&&(&&(&&(&&(<=(i7127[18], 0), >(i6133[18], 0)), <(i6133[18], i4[18])), >(i6160[18], 0)), >(+(i6133[18], 1), 0)), java.lang.Object(ARRAY(i4[18], a45013data[18])), i6133[18], i6160[18], java.lang.Object(java.lang.String(i7127[18])))
COND_LOAD23089ARR16(TRUE, java.lang.Object(ARRAY(i4[19], a45013data[19])), i6133[19], i6160[19], java.lang.Object(java.lang.String(i7127[19]))) → JMP28245'(java.lang.Object(ARRAY(i4[19], a45013data[19])), +(i6133[19], 1), i6160[19])

There are no usable rules.

(53) Complex Obligation (AND)

(54) Obligation:

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


The following domains are used:

Integer, Boolean


R is empty.

The integer pair graph contains the following rules and edges:
(0): LOAD23089(java.lang.Object(ARRAY(i4[0], a45013data[0])), i6133[0], i6160[0]) → LOAD23089ARR9(java.lang.Object(ARRAY(i4[0], a45013data[0])), i6133[0], i6160[0], java.lang.Object(java.lang.String(i7126[0])))
(2): COND_LOAD23089ARR9(TRUE, java.lang.Object(ARRAY(i4[2], a45013data[2])), i6133[2], i6160[2], java.lang.Object(java.lang.String(i7126[2]))) → JMP28245'(java.lang.Object(ARRAY(i4[2], a45013data[2])), i6133[2] + 1, i6160[2])
(3): INC28334(java.lang.Object(ARRAY(i4[3], a45013data[3])), i6441[3], i6160[3]) → LOAD23089(java.lang.Object(ARRAY(i4[3], a45013data[3])), i6441[3], i6160[3] + -1)
(5): LOAD23089ARR10(java.lang.Object(ARRAY(i4[5], a45013data[5])), i6133[5], i6160[5], java.lang.Object(java.lang.String(i7127[5]))) → COND_LOAD23089ARR10(i7127[5] <= 0 && i6133[5] > 0 && i6133[5] < i4[5] && i6160[5] > 0 && i6133[5] + 1 > 0, java.lang.Object(ARRAY(i4[5], a45013data[5])), i6133[5], i6160[5], java.lang.Object(java.lang.String(i7127[5])))
(6): COND_LOAD23089ARR10(TRUE, java.lang.Object(ARRAY(i4[6], a45013data[6])), i6133[6], i6160[6], java.lang.Object(java.lang.String(i7127[6]))) → LOAD23089(java.lang.Object(ARRAY(i4[6], a45013data[6])), i6133[6] + 1, i6160[6] + -1)
(8): LOAD23089ARR11(java.lang.Object(ARRAY(i4[8], a45013data[8])), i6133[8], i6160[8], java.lang.Object(java.lang.String(i7126[8]))) → COND_LOAD23089ARR11(i7126[8] > 0 && i6133[8] > 0 && i6133[8] < i4[8] && i6160[8] > 0 && i6133[8] + 1 > 0, java.lang.Object(ARRAY(i4[8], a45013data[8])), i6133[8], i6160[8], java.lang.Object(java.lang.String(i7126[8])))
(9): COND_LOAD23089ARR11(TRUE, java.lang.Object(ARRAY(i4[9], a45013data[9])), i6133[9], i6160[9], java.lang.Object(java.lang.String(i7126[9]))) → LOAD23089(java.lang.Object(ARRAY(i4[9], a45013data[9])), i6133[9] + 1, i6160[9] + -1)
(10): JMP28245'(java.lang.Object(ARRAY(i4[10], a45013data[10])), i6441[10], i6160[10]) → INC28334(java.lang.Object(ARRAY(i4[10], a45013data[10])), i6441[10], i6160[10])
(11): LOAD23089(java.lang.Object(ARRAY(i4[11], a45013data[11])), i6133[11], i6160[11]) → LOAD23089ARR12(java.lang.Object(ARRAY(i4[11], a45013data[11])), i6133[11], i6160[11], java.lang.Object(java.lang.String(i7126[11])))
(13): COND_LOAD23089ARR12(TRUE, java.lang.Object(ARRAY(i4[13], a45013data[13])), i6133[13], i6160[13], java.lang.Object(java.lang.String(i7126[13]))) → INC28334(java.lang.Object(ARRAY(i4[13], a45013data[13])), i6133[13] + 1, i6160[13])
(15): LOAD23089ARR13(java.lang.Object(ARRAY(i4[15], a45013data[15])), i6133[15], i6160[15], java.lang.Object(java.lang.String(i7127[15]))) → COND_LOAD23089ARR13(i7127[15] <= 0 && i6133[15] > 0 && i6133[15] < i4[15] && i6160[15] > 0 && i6133[15] + 1 > 0, java.lang.Object(ARRAY(i4[15], a45013data[15])), i6133[15], i6160[15], java.lang.Object(java.lang.String(i7127[15])))
(16): COND_LOAD23089ARR13(TRUE, java.lang.Object(ARRAY(i4[16], a45013data[16])), i6133[16], i6160[16], java.lang.Object(java.lang.String(i7127[16]))) → INC28334(java.lang.Object(ARRAY(i4[16], a45013data[16])), i6133[16] + 1, i6160[16])
(18): LOAD23089ARR16(java.lang.Object(ARRAY(i4[18], a45013data[18])), i6133[18], i6160[18], java.lang.Object(java.lang.String(i7127[18]))) → COND_LOAD23089ARR16(i7127[18] <= 0 && i6133[18] > 0 && i6133[18] < i4[18] && i6160[18] > 0 && i6133[18] + 1 > 0, java.lang.Object(ARRAY(i4[18], a45013data[18])), i6133[18], i6160[18], java.lang.Object(java.lang.String(i7127[18])))
(19): COND_LOAD23089ARR16(TRUE, java.lang.Object(ARRAY(i4[19], a45013data[19])), i6133[19], i6160[19], java.lang.Object(java.lang.String(i7127[19]))) → JMP28245'(java.lang.Object(ARRAY(i4[19], a45013data[19])), i6133[19] + 1, i6160[19])

(3) -> (0), if ((i6160[3] + -1 →* i6160[0])∧(i6441[3] →* i6133[0])∧((i4[3] →* i4[0])∧(a45013data[3] →* a45013data[0])))


(6) -> (0), if ((i6160[6] + -1 →* i6160[0])∧((i4[6] →* i4[0])∧(a45013data[6] →* a45013data[0]))∧(i6133[6] + 1 →* i6133[0]))


(9) -> (0), if ((i6160[9] + -1 →* i6160[0])∧(i6133[9] + 1 →* i6133[0])∧((i4[9] →* i4[0])∧(a45013data[9] →* a45013data[0])))


(10) -> (3), if ((i6160[10] →* i6160[3])∧(i6441[10] →* i6441[3])∧((i4[10] →* i4[3])∧(a45013data[10] →* a45013data[3])))


(13) -> (3), if (((i4[13] →* i4[3])∧(a45013data[13] →* a45013data[3]))∧(i6160[13] →* i6160[3])∧(i6133[13] + 1 →* i6441[3]))


(16) -> (3), if ((i6133[16] + 1 →* i6441[3])∧(i6160[16] →* i6160[3])∧((i4[16] →* i4[3])∧(a45013data[16] →* a45013data[3])))


(5) -> (6), if (((i7127[5] →* i7127[6]))∧(i6160[5] →* i6160[6])∧(i7127[5] <= 0 && i6133[5] > 0 && i6133[5] < i4[5] && i6160[5] > 0 && i6133[5] + 1 > 0 →* TRUE)∧(i6133[5] →* i6133[6])∧((i4[5] →* i4[6])∧(a45013data[5] →* a45013data[6])))


(8) -> (9), if ((i6133[8] →* i6133[9])∧(i6160[8] →* i6160[9])∧((i4[8] →* i4[9])∧(a45013data[8] →* a45013data[9]))∧(i7126[8] > 0 && i6133[8] > 0 && i6133[8] < i4[8] && i6160[8] > 0 && i6133[8] + 1 > 0 →* TRUE)∧((i7126[8] →* i7126[9])))


(2) -> (10), if (((i4[2] →* i4[10])∧(a45013data[2] →* a45013data[10]))∧(i6160[2] →* i6160[10])∧(i6133[2] + 1 →* i6441[10]))


(19) -> (10), if ((i6133[19] + 1 →* i6441[10])∧(i6160[19] →* i6160[10])∧((i4[19] →* i4[10])∧(a45013data[19] →* a45013data[10])))


(3) -> (11), if ((i6160[3] + -1 →* i6160[11])∧((i4[3] →* i4[11])∧(a45013data[3] →* a45013data[11]))∧(i6441[3] →* i6133[11]))


(6) -> (11), if (((i4[6] →* i4[11])∧(a45013data[6] →* a45013data[11]))∧(i6133[6] + 1 →* i6133[11])∧(i6160[6] + -1 →* i6160[11]))


(9) -> (11), if ((i6160[9] + -1 →* i6160[11])∧(i6133[9] + 1 →* i6133[11])∧((i4[9] →* i4[11])∧(a45013data[9] →* a45013data[11])))


(15) -> (16), if ((i6133[15] →* i6133[16])∧(i6160[15] →* i6160[16])∧((i7127[15] →* i7127[16]))∧(i7127[15] <= 0 && i6133[15] > 0 && i6133[15] < i4[15] && i6160[15] > 0 && i6133[15] + 1 > 0 →* TRUE)∧((i4[15] →* i4[16])∧(a45013data[15] →* a45013data[16])))


(18) -> (19), if (((i4[18] →* i4[19])∧(a45013data[18] →* a45013data[19]))∧(i6160[18] →* i6160[19])∧(i6133[18] →* i6133[19])∧(i7127[18] <= 0 && i6133[18] > 0 && i6133[18] < i4[18] && i6160[18] > 0 && i6133[18] + 1 > 0 →* TRUE)∧((i7127[18] →* i7127[19])))



The set Q consists of the following terms:
Load23089(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load23089ARR9(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load23089ARR9(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Inc28334(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load23089ARR10(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load23089ARR10(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Load23089ARR11(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load23089ARR11(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
JMP28245(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load23089ARR12(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load23089ARR12(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Load23089ARR13(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load23089ARR13(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Load23089ARR16(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load23089ARR16(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))

(55) IDependencyGraphProof (EQUIVALENT transformation)

The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 0 SCCs with 14 less nodes.

(56) TRUE

(57) 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): LOAD23089(java.lang.Object(ARRAY(i4[0], a45013data[0])), i6133[0], i6160[0]) → LOAD23089ARR9(java.lang.Object(ARRAY(i4[0], a45013data[0])), i6133[0], i6160[0], java.lang.Object(java.lang.String(i7126[0])))
(2): COND_LOAD23089ARR9(TRUE, java.lang.Object(ARRAY(i4[2], a45013data[2])), i6133[2], i6160[2], java.lang.Object(java.lang.String(i7126[2]))) → JMP28245'(java.lang.Object(ARRAY(i4[2], a45013data[2])), i6133[2] + 1, i6160[2])
(3): INC28334(java.lang.Object(ARRAY(i4[3], a45013data[3])), i6441[3], i6160[3]) → LOAD23089(java.lang.Object(ARRAY(i4[3], a45013data[3])), i6441[3], i6160[3] + -1)
(4): LOAD23089(java.lang.Object(ARRAY(i4[4], a45013data[4])), i6133[4], i6160[4]) → LOAD23089ARR10(java.lang.Object(ARRAY(i4[4], a45013data[4])), i6133[4], i6160[4], java.lang.Object(java.lang.String(i7127[4])))
(6): COND_LOAD23089ARR10(TRUE, java.lang.Object(ARRAY(i4[6], a45013data[6])), i6133[6], i6160[6], java.lang.Object(java.lang.String(i7127[6]))) → LOAD23089(java.lang.Object(ARRAY(i4[6], a45013data[6])), i6133[6] + 1, i6160[6] + -1)
(7): LOAD23089(java.lang.Object(ARRAY(i4[7], a45013data[7])), i6133[7], i6160[7]) → LOAD23089ARR11(java.lang.Object(ARRAY(i4[7], a45013data[7])), i6133[7], i6160[7], java.lang.Object(java.lang.String(i7126[7])))
(9): COND_LOAD23089ARR11(TRUE, java.lang.Object(ARRAY(i4[9], a45013data[9])), i6133[9], i6160[9], java.lang.Object(java.lang.String(i7126[9]))) → LOAD23089(java.lang.Object(ARRAY(i4[9], a45013data[9])), i6133[9] + 1, i6160[9] + -1)
(10): JMP28245'(java.lang.Object(ARRAY(i4[10], a45013data[10])), i6441[10], i6160[10]) → INC28334(java.lang.Object(ARRAY(i4[10], a45013data[10])), i6441[10], i6160[10])
(11): LOAD23089(java.lang.Object(ARRAY(i4[11], a45013data[11])), i6133[11], i6160[11]) → LOAD23089ARR12(java.lang.Object(ARRAY(i4[11], a45013data[11])), i6133[11], i6160[11], java.lang.Object(java.lang.String(i7126[11])))
(13): COND_LOAD23089ARR12(TRUE, java.lang.Object(ARRAY(i4[13], a45013data[13])), i6133[13], i6160[13], java.lang.Object(java.lang.String(i7126[13]))) → INC28334(java.lang.Object(ARRAY(i4[13], a45013data[13])), i6133[13] + 1, i6160[13])
(14): LOAD23089(java.lang.Object(ARRAY(i4[14], a45013data[14])), i6133[14], i6160[14]) → LOAD23089ARR13(java.lang.Object(ARRAY(i4[14], a45013data[14])), i6133[14], i6160[14], java.lang.Object(java.lang.String(i7127[14])))
(16): COND_LOAD23089ARR13(TRUE, java.lang.Object(ARRAY(i4[16], a45013data[16])), i6133[16], i6160[16], java.lang.Object(java.lang.String(i7127[16]))) → INC28334(java.lang.Object(ARRAY(i4[16], a45013data[16])), i6133[16] + 1, i6160[16])
(17): LOAD23089(java.lang.Object(ARRAY(i4[17], a45013data[17])), i6133[17], i6160[17]) → LOAD23089ARR16(java.lang.Object(ARRAY(i4[17], a45013data[17])), i6133[17], i6160[17], java.lang.Object(java.lang.String(i7127[17])))
(19): COND_LOAD23089ARR16(TRUE, java.lang.Object(ARRAY(i4[19], a45013data[19])), i6133[19], i6160[19], java.lang.Object(java.lang.String(i7127[19]))) → JMP28245'(java.lang.Object(ARRAY(i4[19], a45013data[19])), i6133[19] + 1, i6160[19])

(3) -> (0), if ((i6160[3] + -1 →* i6160[0])∧(i6441[3] →* i6133[0])∧((i4[3] →* i4[0])∧(a45013data[3] →* a45013data[0])))


(6) -> (0), if ((i6160[6] + -1 →* i6160[0])∧((i4[6] →* i4[0])∧(a45013data[6] →* a45013data[0]))∧(i6133[6] + 1 →* i6133[0]))


(9) -> (0), if ((i6160[9] + -1 →* i6160[0])∧(i6133[9] + 1 →* i6133[0])∧((i4[9] →* i4[0])∧(a45013data[9] →* a45013data[0])))


(10) -> (3), if ((i6160[10] →* i6160[3])∧(i6441[10] →* i6441[3])∧((i4[10] →* i4[3])∧(a45013data[10] →* a45013data[3])))


(13) -> (3), if (((i4[13] →* i4[3])∧(a45013data[13] →* a45013data[3]))∧(i6160[13] →* i6160[3])∧(i6133[13] + 1 →* i6441[3]))


(16) -> (3), if ((i6133[16] + 1 →* i6441[3])∧(i6160[16] →* i6160[3])∧((i4[16] →* i4[3])∧(a45013data[16] →* a45013data[3])))


(3) -> (4), if (((i4[3] →* i4[4])∧(a45013data[3] →* a45013data[4]))∧(i6441[3] →* i6133[4])∧(i6160[3] + -1 →* i6160[4]))


(6) -> (4), if (((i4[6] →* i4[4])∧(a45013data[6] →* a45013data[4]))∧(i6133[6] + 1 →* i6133[4])∧(i6160[6] + -1 →* i6160[4]))


(9) -> (4), if ((i6133[9] + 1 →* i6133[4])∧(i6160[9] + -1 →* i6160[4])∧((i4[9] →* i4[4])∧(a45013data[9] →* a45013data[4])))


(3) -> (7), if ((i6441[3] →* i6133[7])∧((i4[3] →* i4[7])∧(a45013data[3] →* a45013data[7]))∧(i6160[3] + -1 →* i6160[7]))


(6) -> (7), if (((i4[6] →* i4[7])∧(a45013data[6] →* a45013data[7]))∧(i6160[6] + -1 →* i6160[7])∧(i6133[6] + 1 →* i6133[7]))


(9) -> (7), if ((i6133[9] + 1 →* i6133[7])∧(i6160[9] + -1 →* i6160[7])∧((i4[9] →* i4[7])∧(a45013data[9] →* a45013data[7])))


(2) -> (10), if (((i4[2] →* i4[10])∧(a45013data[2] →* a45013data[10]))∧(i6160[2] →* i6160[10])∧(i6133[2] + 1 →* i6441[10]))


(19) -> (10), if ((i6133[19] + 1 →* i6441[10])∧(i6160[19] →* i6160[10])∧((i4[19] →* i4[10])∧(a45013data[19] →* a45013data[10])))


(3) -> (11), if ((i6160[3] + -1 →* i6160[11])∧((i4[3] →* i4[11])∧(a45013data[3] →* a45013data[11]))∧(i6441[3] →* i6133[11]))


(6) -> (11), if (((i4[6] →* i4[11])∧(a45013data[6] →* a45013data[11]))∧(i6133[6] + 1 →* i6133[11])∧(i6160[6] + -1 →* i6160[11]))


(9) -> (11), if ((i6160[9] + -1 →* i6160[11])∧(i6133[9] + 1 →* i6133[11])∧((i4[9] →* i4[11])∧(a45013data[9] →* a45013data[11])))


(3) -> (14), if ((i6441[3] →* i6133[14])∧((i4[3] →* i4[14])∧(a45013data[3] →* a45013data[14]))∧(i6160[3] + -1 →* i6160[14]))


(6) -> (14), if (((i4[6] →* i4[14])∧(a45013data[6] →* a45013data[14]))∧(i6160[6] + -1 →* i6160[14])∧(i6133[6] + 1 →* i6133[14]))


(9) -> (14), if ((i6160[9] + -1 →* i6160[14])∧((i4[9] →* i4[14])∧(a45013data[9] →* a45013data[14]))∧(i6133[9] + 1 →* i6133[14]))


(3) -> (17), if ((i6441[3] →* i6133[17])∧((i4[3] →* i4[17])∧(a45013data[3] →* a45013data[17]))∧(i6160[3] + -1 →* i6160[17]))


(6) -> (17), if ((i6160[6] + -1 →* i6160[17])∧((i4[6] →* i4[17])∧(a45013data[6] →* a45013data[17]))∧(i6133[6] + 1 →* i6133[17]))


(9) -> (17), if (((i4[9] →* i4[17])∧(a45013data[9] →* a45013data[17]))∧(i6160[9] + -1 →* i6160[17])∧(i6133[9] + 1 →* i6133[17]))



The set Q consists of the following terms:
Load23089(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load23089ARR9(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load23089ARR9(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Inc28334(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load23089ARR10(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load23089ARR10(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Load23089ARR11(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load23089ARR11(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
JMP28245(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load23089ARR12(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load23089ARR12(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Load23089ARR13(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load23089ARR13(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Load23089ARR16(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load23089ARR16(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))

(58) IDependencyGraphProof (EQUIVALENT transformation)

The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 0 SCCs with 14 less nodes.

(59) TRUE

(60) Obligation:

ITRS problem:

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

The TRS R consists of the following rules:
Load25971(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(Tree(java.lang.Object(Tree(o57801Field0, o57801Field1)), o43316)), java.lang.Object(Tree(java.lang.Object(Tree(o57801Field0, o57801Field1)), o43316))) → Load25971ARR17(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(Tree(java.lang.Object(Tree(o57801Field0, o57801Field1)), o43316)), java.lang.Object(Tree(java.lang.Object(Tree(o57801Field0, o57801Field1)), o43316)), java.lang.Object(java.lang.String(i9213)))
Load25971ARR17(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(Tree(java.lang.Object(Tree(o57801Field0, o57801Field1)), o43316)), java.lang.Object(Tree(java.lang.Object(Tree(o57801Field0, o57801Field1)), o43316)), java.lang.Object(java.lang.String(i9213))) → Cond_Load25971ARR17(i9213 > 0 && i7309 > 0 && i7309 < i4 && i7399 > 0 && i7309 + 1 > 0, java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(Tree(java.lang.Object(Tree(o57801Field0, o57801Field1)), o43316)), java.lang.Object(Tree(java.lang.Object(Tree(o57801Field0, o57801Field1)), o43316)), java.lang.Object(java.lang.String(i9213)))
Cond_Load25971ARR17(TRUE, java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(Tree(java.lang.Object(Tree(o57801Field0, o57801Field1)), o43316)), java.lang.Object(Tree(java.lang.Object(Tree(o57801Field0, o57801Field1)), o43316)), java.lang.Object(java.lang.String(i9213))) → JMP33402(java.lang.Object(ARRAY(i4, a51946data)), i7309 + 1, i7399, java.lang.Object(Tree(java.lang.Object(Tree(o57801Field0, o57801Field1)), o43316)), java.lang.Object(Tree(o57801Field0, o57801Field1)))
Inc33515(java.lang.Object(ARRAY(i4, a51946data)), i8081, i7399, java.lang.Object(Tree(o43315, o43316)), java.lang.Object(Tree(o58688Field0, o58688Field1))) → Load25971(java.lang.Object(ARRAY(i4, a51946data)), i8081, i7399 + -1, java.lang.Object(Tree(o43315, o43316)), java.lang.Object(Tree(o58688Field0, o58688Field1)))
Load25971(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(Tree(o43315, o43316)), java.lang.Object(Tree(o57415, java.lang.Object(Tree(o58688Field0, o58688Field1))))) → Load25971ARR18(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(Tree(o43315, o43316)), java.lang.Object(Tree(o57415, java.lang.Object(Tree(o58688Field0, o58688Field1)))), java.lang.Object(java.lang.String(i9214)))
Load25971ARR18(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(Tree(o43315, o43316)), java.lang.Object(Tree(o57415, java.lang.Object(Tree(o58688Field0, o58688Field1)))), java.lang.Object(java.lang.String(i9214))) → Cond_Load25971ARR18(i9214 <= 0 && i7309 > 0 && i7309 < i4 && i7399 > 0 && i7309 + 1 > 0, java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(Tree(o43315, o43316)), java.lang.Object(Tree(o57415, java.lang.Object(Tree(o58688Field0, o58688Field1)))), java.lang.Object(java.lang.String(i9214)))
Cond_Load25971ARR18(TRUE, java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(Tree(o43315, o43316)), java.lang.Object(Tree(o57415, java.lang.Object(Tree(o58688Field0, o58688Field1)))), java.lang.Object(java.lang.String(i9214))) → Load25971(java.lang.Object(ARRAY(i4, a51946data)), i7309 + 1, i7399 + -1, java.lang.Object(Tree(o43315, o43316)), java.lang.Object(Tree(o58688Field0, o58688Field1)))
Inc36340(java.lang.Object(ARRAY(i4, a51946data)), i8081, i7399, java.lang.Object(Tree(o43315, o43316)), java.lang.Object(Tree(o43315, o43316))) → Load25971(java.lang.Object(ARRAY(i4, a51946data)), i8081, i7399 + -1, java.lang.Object(Tree(o43315, o43316)), java.lang.Object(Tree(o43315, o43316)))
JMP36206(java.lang.Object(ARRAY(i4, a51946data)), i8081, i7399, java.lang.Object(Tree(o43315, o43316)), java.lang.Object(Tree(o43315, o43316))) → Load25971(java.lang.Object(ARRAY(i4, a51946data)), i8081, i7399 + -1, java.lang.Object(Tree(o43315, o43316)), java.lang.Object(Tree(o43315, o43316)))
Load25971(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(Tree(o43315, o43316)), java.lang.Object(Tree(NULL, o57321))) → Load25971ARR19(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(Tree(o43315, o43316)), java.lang.Object(Tree(NULL, o57321)), java.lang.Object(java.lang.String(i9213)))
Load25971ARR19(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(Tree(o43315, o43316)), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o57321)), java.lang.Object(java.lang.String(i9213))) → Cond_Load25971ARR19(i9213 > 0 && i7309 > 0 && i7309 < i4 && i7399 > 0 && i7309 + 1 > 0, java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(Tree(o43315, o43316)), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o57321)), java.lang.Object(java.lang.String(i9213)))
Cond_Load25971ARR19(TRUE, java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(Tree(o43315, o43316)), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o57321)), java.lang.Object(java.lang.String(i9213))) → Load25971(java.lang.Object(ARRAY(i4, a51946data)), i7309 + 1, i7399 + -1, o43313new, o43313new)
JMP33402(java.lang.Object(ARRAY(i4, a51946data)), i8081, i7399, java.lang.Object(Tree(o43315, o43316)), java.lang.Object(Tree(o58507Field0, o58507Field1))) → Inc33515(java.lang.Object(ARRAY(i4, a51946data)), i8081, i7399, java.lang.Object(Tree(o43315, o43316)), java.lang.Object(Tree(o58507Field0, o58507Field1)))
Load25971(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(Tree(o43315, o43316)), java.lang.Object(Tree(java.lang.Object(Tree(o58507Field0, o58507Field1)), o57321))) → Load25971ARR20(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(Tree(o43315, o43316)), java.lang.Object(Tree(java.lang.Object(Tree(o58507Field0, o58507Field1)), o57321)), java.lang.Object(java.lang.String(i9213)))
Load25971ARR20(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(Tree(o43315, o43316)), java.lang.Object(Tree(java.lang.Object(Tree(o58507Field0, o58507Field1)), o57321)), java.lang.Object(java.lang.String(i9213))) → Cond_Load25971ARR20(i9213 > 0 && i7309 > 0 && i7309 < i4 && i7399 > 0 && i7309 + 1 > 0, java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(Tree(o43315, o43316)), java.lang.Object(Tree(java.lang.Object(Tree(o58507Field0, o58507Field1)), o57321)), java.lang.Object(java.lang.String(i9213)))
Cond_Load25971ARR20(TRUE, java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(Tree(o43315, o43316)), java.lang.Object(Tree(java.lang.Object(Tree(o58507Field0, o58507Field1)), o57321)), java.lang.Object(java.lang.String(i9213))) → Inc33515(java.lang.Object(ARRAY(i4, a51946data)), i7309 + 1, i7399, java.lang.Object(Tree(o43315, o43316)), java.lang.Object(Tree(o58507Field0, o58507Field1)))
Load25971(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(Tree(o43315, java.lang.Object(Tree(o58054Field0, o58054Field1)))), java.lang.Object(Tree(o43315, java.lang.Object(Tree(o58054Field0, o58054Field1))))) → Load25971ARR21(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(Tree(o43315, java.lang.Object(Tree(o58054Field0, o58054Field1)))), java.lang.Object(Tree(o43315, java.lang.Object(Tree(o58054Field0, o58054Field1)))), java.lang.Object(java.lang.String(i9214)))
Load25971ARR21(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(Tree(o43315, java.lang.Object(Tree(o58054Field0, o58054Field1)))), java.lang.Object(Tree(o43315, java.lang.Object(Tree(o58054Field0, o58054Field1)))), java.lang.Object(java.lang.String(i9214))) → Cond_Load25971ARR21(i9214 <= 0 && i7309 > 0 && i7309 < i4 && i7399 > 0 && i7309 + 1 > 0, java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(Tree(o43315, java.lang.Object(Tree(o58054Field0, o58054Field1)))), java.lang.Object(Tree(o43315, java.lang.Object(Tree(o58054Field0, o58054Field1)))), java.lang.Object(java.lang.String(i9214)))
Cond_Load25971ARR21(TRUE, java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(Tree(o43315, java.lang.Object(Tree(o58054Field0, o58054Field1)))), java.lang.Object(Tree(o43315, java.lang.Object(Tree(o58054Field0, o58054Field1)))), java.lang.Object(java.lang.String(i9214))) → Inc33515(java.lang.Object(ARRAY(i4, a51946data)), i7309 + 1, i7399, java.lang.Object(Tree(o43315, java.lang.Object(Tree(o58054Field0, o58054Field1)))), java.lang.Object(Tree(o58054Field0, o58054Field1)))
JMP36265(java.lang.Object(ARRAY(i4, a51946data)), i8081, i7399, java.lang.Object(Tree(o43315, o43316)), java.lang.Object(Tree(o43315, o43316))) → Inc36340(java.lang.Object(ARRAY(i4, a51946data)), i8081, i7399, java.lang.Object(Tree(o43315, o43316)), java.lang.Object(Tree(o43315, o43316)))
Load25971(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(Tree(o43315, o43316)), java.lang.Object(Tree(o57415, NULL))) → Load25971ARR22(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(Tree(o43315, o43316)), java.lang.Object(Tree(o57415, NULL)), java.lang.Object(java.lang.String(i9214)))
Load25971ARR22(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(Tree(o43315, o43316)), java.lang.Object(Tree(o57415, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(i9214))) → Cond_Load25971ARR22(i9214 <= 0 && i7309 > 0 && i7309 < i4 && i7399 > 0 && i7309 + 1 > 0, java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(Tree(o43315, o43316)), java.lang.Object(Tree(o57415, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(i9214)))
Cond_Load25971ARR22(TRUE, java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(Tree(o43315, o43316)), java.lang.Object(Tree(o57415, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(i9214))) → Inc36340(java.lang.Object(ARRAY(i4, a51946data)), i7309 + 1, i7399, o43313new, o43313new)
Load25971(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(Tree(NULL, o43316)), java.lang.Object(Tree(NULL, o43316))) → Load25971ARR23(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(Tree(NULL, o43316)), java.lang.Object(Tree(NULL, o43316)), java.lang.Object(java.lang.String(i9213)))
Load25971ARR23(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o43316)), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o43316)), java.lang.Object(java.lang.String(i9213))) → Cond_Load25971ARR23(i9213 > 0 && i7309 > 0 && i7309 < i4 && i7399 > 0 && i7309 + 1 > 0, java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o43316)), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o43316)), java.lang.Object(java.lang.String(i9213)))
Cond_Load25971ARR23(TRUE, java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o43316)), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o43316)), java.lang.Object(java.lang.String(i9213))) → JMP36206(java.lang.Object(ARRAY(i4, a51946data)), i7309 + 1, i7399, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o43316)), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o43316)))
Load25971(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(Tree(o43315, NULL)), java.lang.Object(Tree(o43315, NULL))) → Load25971ARR24(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(Tree(o43315, NULL)), java.lang.Object(Tree(o43315, NULL)), java.lang.Object(java.lang.String(i9214)))
Load25971ARR24(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(Tree(o43315, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(Tree(o43315, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(i9214))) → Cond_Load25971ARR24(i9214 <= 0 && i7309 > 0 && i7309 < i4 && i7399 > 0 && i7309 + 1 > 0, java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(Tree(o43315, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(Tree(o43315, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(i9214)))
Cond_Load25971ARR24(TRUE, java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(Tree(o43315, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(Tree(o43315, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(i9214))) → JMP36265(java.lang.Object(ARRAY(i4, a51946data)), i7309 + 1, i7399, java.lang.Object(Tree(o43315, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(Tree(o43315, java.lang.Object(Tree(NULL, NULL)))))
The set Q consists of the following terms:
Load25971ARR17(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(java.lang.Object(Tree(x4, x5)), x6)), java.lang.Object(Tree(java.lang.Object(Tree(x4, x5)), x6)), java.lang.Object(java.lang.String(x7)))
Cond_Load25971ARR17(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(java.lang.Object(Tree(x4, x5)), x6)), java.lang.Object(Tree(java.lang.Object(Tree(x4, x5)), x6)), java.lang.Object(java.lang.String(x7)))
Inc33515(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x6, x7)))
Load25971(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x6, java.lang.Object(Tree(x7, x8)))))
Load25971ARR18(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x6, java.lang.Object(Tree(x7, x8)))), java.lang.Object(java.lang.String(x9)))
Cond_Load25971ARR18(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x6, java.lang.Object(Tree(x7, x8)))), java.lang.Object(java.lang.String(x9)))
Inc36340(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x4, x5)))
JMP36206(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x4, x5)))
Load25971(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(NULL, x6)))
Load25971ARR19(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), x6)), java.lang.Object(java.lang.String(x7)))
Cond_Load25971ARR19(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), x6)), java.lang.Object(java.lang.String(x7)))
JMP33402(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x6, x7)))
Load25971(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(java.lang.Object(Tree(x6, x7)), x8)))
Load25971ARR20(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(java.lang.Object(Tree(x6, x7)), x8)), java.lang.Object(java.lang.String(x9)))
Cond_Load25971ARR20(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(java.lang.Object(Tree(x6, x7)), x8)), java.lang.Object(java.lang.String(x9)))
Load25971ARR21(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, java.lang.Object(Tree(x5, x6)))), java.lang.Object(Tree(x4, java.lang.Object(Tree(x5, x6)))), java.lang.Object(java.lang.String(x7)))
Cond_Load25971ARR21(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, java.lang.Object(Tree(x5, x6)))), java.lang.Object(Tree(x4, java.lang.Object(Tree(x5, x6)))), java.lang.Object(java.lang.String(x7)))
JMP36265(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x4, x5)))
Load25971(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x6, NULL)))
Load25971ARR22(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x6, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(x7)))
Cond_Load25971ARR22(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x6, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(x7)))
Load25971ARR23(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), x4)), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), x4)), java.lang.Object(java.lang.String(x5)))
Cond_Load25971ARR23(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), x4)), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), x4)), java.lang.Object(java.lang.String(x5)))
Load25971ARR24(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(Tree(x4, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(x5)))
Cond_Load25971ARR24(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(Tree(x4, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(x5)))

(61) DuplicateArgsRemoverProof (EQUIVALENT transformation)

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

JMP36265(x1, x2, x3, x4, x5) → JMP36265(x1, x2, x3, x5)
Cond_Load25971ARR24(x1, x2, x3, x4, x5, x6, x7) → Cond_Load25971ARR24(x1, x2, x3, x4, x6, x7)
Load25971ARR24(x1, x2, x3, x4, x5, x6) → Load25971ARR24(x1, x2, x3, x5, x6)
JMP36206(x1, x2, x3, x4, x5) → JMP36206(x1, x2, x3, x5)
Cond_Load25971ARR23(x1, x2, x3, x4, x5, x6, x7) → Cond_Load25971ARR23(x1, x2, x3, x4, x6, x7)
Load25971ARR23(x1, x2, x3, x4, x5, x6) → Load25971ARR23(x1, x2, x3, x5, x6)
Inc36340(x1, x2, x3, x4, x5) → Inc36340(x1, x2, x3, x5)
Cond_Load25971ARR21(x1, x2, x3, x4, x5, x6, x7) → Cond_Load25971ARR21(x1, x2, x3, x4, x6, x7)
Load25971ARR21(x1, x2, x3, x4, x5, x6) → Load25971ARR21(x1, x2, x3, x5, x6)
Cond_Load25971ARR17(x1, x2, x3, x4, x5, x6, x7) → Cond_Load25971ARR17(x1, x2, x3, x4, x6, x7)
Load25971ARR17(x1, x2, x3, x4, x5, x6) → Load25971ARR17(x1, x2, x3, x5, x6)

(62) Obligation:

ITRS problem:

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

The TRS R consists of the following rules:
Load25971(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(Tree(java.lang.Object(Tree(o57801Field0, o57801Field1)), o43316)), java.lang.Object(Tree(java.lang.Object(Tree(o57801Field0, o57801Field1)), o43316))) → Load25971ARR17(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(Tree(java.lang.Object(Tree(o57801Field0, o57801Field1)), o43316)), java.lang.Object(java.lang.String(i9213)))
Load25971ARR17(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(Tree(java.lang.Object(Tree(o57801Field0, o57801Field1)), o43316)), java.lang.Object(java.lang.String(i9213))) → Cond_Load25971ARR17(i9213 > 0 && i7309 > 0 && i7309 < i4 && i7399 > 0 && i7309 + 1 > 0, java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(Tree(java.lang.Object(Tree(o57801Field0, o57801Field1)), o43316)), java.lang.Object(java.lang.String(i9213)))
Cond_Load25971ARR17(TRUE, java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(Tree(java.lang.Object(Tree(o57801Field0, o57801Field1)), o43316)), java.lang.Object(java.lang.String(i9213))) → JMP33402(java.lang.Object(ARRAY(i4, a51946data)), i7309 + 1, i7399, java.lang.Object(Tree(java.lang.Object(Tree(o57801Field0, o57801Field1)), o43316)), java.lang.Object(Tree(o57801Field0, o57801Field1)))
Inc33515(java.lang.Object(ARRAY(i4, a51946data)), i8081, i7399, java.lang.Object(Tree(o43315, o43316)), java.lang.Object(Tree(o58688Field0, o58688Field1))) → Load25971(java.lang.Object(ARRAY(i4, a51946data)), i8081, i7399 + -1, java.lang.Object(Tree(o43315, o43316)), java.lang.Object(Tree(o58688Field0, o58688Field1)))
Load25971(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(Tree(o43315, o43316)), java.lang.Object(Tree(o57415, java.lang.Object(Tree(o58688Field0, o58688Field1))))) → Load25971ARR18(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(Tree(o43315, o43316)), java.lang.Object(Tree(o57415, java.lang.Object(Tree(o58688Field0, o58688Field1)))), java.lang.Object(java.lang.String(i9214)))
Load25971ARR18(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(Tree(o43315, o43316)), java.lang.Object(Tree(o57415, java.lang.Object(Tree(o58688Field0, o58688Field1)))), java.lang.Object(java.lang.String(i9214))) → Cond_Load25971ARR18(i9214 <= 0 && i7309 > 0 && i7309 < i4 && i7399 > 0 && i7309 + 1 > 0, java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(Tree(o43315, o43316)), java.lang.Object(Tree(o57415, java.lang.Object(Tree(o58688Field0, o58688Field1)))), java.lang.Object(java.lang.String(i9214)))
Cond_Load25971ARR18(TRUE, java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(Tree(o43315, o43316)), java.lang.Object(Tree(o57415, java.lang.Object(Tree(o58688Field0, o58688Field1)))), java.lang.Object(java.lang.String(i9214))) → Load25971(java.lang.Object(ARRAY(i4, a51946data)), i7309 + 1, i7399 + -1, java.lang.Object(Tree(o43315, o43316)), java.lang.Object(Tree(o58688Field0, o58688Field1)))
Inc36340(java.lang.Object(ARRAY(i4, a51946data)), i8081, i7399, java.lang.Object(Tree(o43315, o43316))) → Load25971(java.lang.Object(ARRAY(i4, a51946data)), i8081, i7399 + -1, java.lang.Object(Tree(o43315, o43316)), java.lang.Object(Tree(o43315, o43316)))
JMP36206(java.lang.Object(ARRAY(i4, a51946data)), i8081, i7399, java.lang.Object(Tree(o43315, o43316))) → Load25971(java.lang.Object(ARRAY(i4, a51946data)), i8081, i7399 + -1, java.lang.Object(Tree(o43315, o43316)), java.lang.Object(Tree(o43315, o43316)))
Load25971(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(Tree(o43315, o43316)), java.lang.Object(Tree(NULL, o57321))) → Load25971ARR19(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(Tree(o43315, o43316)), java.lang.Object(Tree(NULL, o57321)), java.lang.Object(java.lang.String(i9213)))
Load25971ARR19(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(Tree(o43315, o43316)), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o57321)), java.lang.Object(java.lang.String(i9213))) → Cond_Load25971ARR19(i9213 > 0 && i7309 > 0 && i7309 < i4 && i7399 > 0 && i7309 + 1 > 0, java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(Tree(o43315, o43316)), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o57321)), java.lang.Object(java.lang.String(i9213)))
Cond_Load25971ARR19(TRUE, java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(Tree(o43315, o43316)), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o57321)), java.lang.Object(java.lang.String(i9213))) → Load25971(java.lang.Object(ARRAY(i4, a51946data)), i7309 + 1, i7399 + -1, o43313new, o43313new)
JMP33402(java.lang.Object(ARRAY(i4, a51946data)), i8081, i7399, java.lang.Object(Tree(o43315, o43316)), java.lang.Object(Tree(o58507Field0, o58507Field1))) → Inc33515(java.lang.Object(ARRAY(i4, a51946data)), i8081, i7399, java.lang.Object(Tree(o43315, o43316)), java.lang.Object(Tree(o58507Field0, o58507Field1)))
Load25971(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(Tree(o43315, o43316)), java.lang.Object(Tree(java.lang.Object(Tree(o58507Field0, o58507Field1)), o57321))) → Load25971ARR20(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(Tree(o43315, o43316)), java.lang.Object(Tree(java.lang.Object(Tree(o58507Field0, o58507Field1)), o57321)), java.lang.Object(java.lang.String(i9213)))
Load25971ARR20(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(Tree(o43315, o43316)), java.lang.Object(Tree(java.lang.Object(Tree(o58507Field0, o58507Field1)), o57321)), java.lang.Object(java.lang.String(i9213))) → Cond_Load25971ARR20(i9213 > 0 && i7309 > 0 && i7309 < i4 && i7399 > 0 && i7309 + 1 > 0, java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(Tree(o43315, o43316)), java.lang.Object(Tree(java.lang.Object(Tree(o58507Field0, o58507Field1)), o57321)), java.lang.Object(java.lang.String(i9213)))
Cond_Load25971ARR20(TRUE, java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(Tree(o43315, o43316)), java.lang.Object(Tree(java.lang.Object(Tree(o58507Field0, o58507Field1)), o57321)), java.lang.Object(java.lang.String(i9213))) → Inc33515(java.lang.Object(ARRAY(i4, a51946data)), i7309 + 1, i7399, java.lang.Object(Tree(o43315, o43316)), java.lang.Object(Tree(o58507Field0, o58507Field1)))
Load25971(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(Tree(o43315, java.lang.Object(Tree(o58054Field0, o58054Field1)))), java.lang.Object(Tree(o43315, java.lang.Object(Tree(o58054Field0, o58054Field1))))) → Load25971ARR21(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(Tree(o43315, java.lang.Object(Tree(o58054Field0, o58054Field1)))), java.lang.Object(java.lang.String(i9214)))
Load25971ARR21(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(Tree(o43315, java.lang.Object(Tree(o58054Field0, o58054Field1)))), java.lang.Object(java.lang.String(i9214))) → Cond_Load25971ARR21(i9214 <= 0 && i7309 > 0 && i7309 < i4 && i7399 > 0 && i7309 + 1 > 0, java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(Tree(o43315, java.lang.Object(Tree(o58054Field0, o58054Field1)))), java.lang.Object(java.lang.String(i9214)))
Cond_Load25971ARR21(TRUE, java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(Tree(o43315, java.lang.Object(Tree(o58054Field0, o58054Field1)))), java.lang.Object(java.lang.String(i9214))) → Inc33515(java.lang.Object(ARRAY(i4, a51946data)), i7309 + 1, i7399, java.lang.Object(Tree(o43315, java.lang.Object(Tree(o58054Field0, o58054Field1)))), java.lang.Object(Tree(o58054Field0, o58054Field1)))
JMP36265(java.lang.Object(ARRAY(i4, a51946data)), i8081, i7399, java.lang.Object(Tree(o43315, o43316))) → Inc36340(java.lang.Object(ARRAY(i4, a51946data)), i8081, i7399, java.lang.Object(Tree(o43315, o43316)))
Load25971(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(Tree(o43315, o43316)), java.lang.Object(Tree(o57415, NULL))) → Load25971ARR22(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(Tree(o43315, o43316)), java.lang.Object(Tree(o57415, NULL)), java.lang.Object(java.lang.String(i9214)))
Load25971ARR22(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(Tree(o43315, o43316)), java.lang.Object(Tree(o57415, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(i9214))) → Cond_Load25971ARR22(i9214 <= 0 && i7309 > 0 && i7309 < i4 && i7399 > 0 && i7309 + 1 > 0, java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(Tree(o43315, o43316)), java.lang.Object(Tree(o57415, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(i9214)))
Cond_Load25971ARR22(TRUE, java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(Tree(o43315, o43316)), java.lang.Object(Tree(o57415, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(i9214))) → Inc36340(java.lang.Object(ARRAY(i4, a51946data)), i7309 + 1, i7399, o43313new)
Load25971(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(Tree(NULL, o43316)), java.lang.Object(Tree(NULL, o43316))) → Load25971ARR23(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(Tree(NULL, o43316)), java.lang.Object(java.lang.String(i9213)))
Load25971ARR23(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o43316)), java.lang.Object(java.lang.String(i9213))) → Cond_Load25971ARR23(i9213 > 0 && i7309 > 0 && i7309 < i4 && i7399 > 0 && i7309 + 1 > 0, java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o43316)), java.lang.Object(java.lang.String(i9213)))
Cond_Load25971ARR23(TRUE, java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o43316)), java.lang.Object(java.lang.String(i9213))) → JMP36206(java.lang.Object(ARRAY(i4, a51946data)), i7309 + 1, i7399, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), o43316)))
Load25971(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(Tree(o43315, NULL)), java.lang.Object(Tree(o43315, NULL))) → Load25971ARR24(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(Tree(o43315, NULL)), java.lang.Object(java.lang.String(i9214)))
Load25971ARR24(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(Tree(o43315, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(i9214))) → Cond_Load25971ARR24(i9214 <= 0 && i7309 > 0 && i7309 < i4 && i7399 > 0 && i7309 + 1 > 0, java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(Tree(o43315, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(i9214)))
Cond_Load25971ARR24(TRUE, java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(Tree(o43315, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(i9214))) → JMP36265(java.lang.Object(ARRAY(i4, a51946data)), i7309 + 1, i7399, java.lang.Object(Tree(o43315, java.lang.Object(Tree(NULL, NULL)))))
The set Q consists of the following terms:
Load25971ARR17(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(java.lang.Object(Tree(x4, x5)), x6)), java.lang.Object(java.lang.String(x7)))
Cond_Load25971ARR17(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(java.lang.Object(Tree(x4, x5)), x6)), java.lang.Object(java.lang.String(x7)))
Inc33515(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x6, x7)))
Load25971(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x6, java.lang.Object(Tree(x7, x8)))))
Load25971ARR18(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x6, java.lang.Object(Tree(x7, x8)))), java.lang.Object(java.lang.String(x9)))
Cond_Load25971ARR18(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x6, java.lang.Object(Tree(x7, x8)))), java.lang.Object(java.lang.String(x9)))
Inc36340(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)))
JMP36206(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)))
Load25971(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(NULL, x6)))
Load25971ARR19(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), x6)), java.lang.Object(java.lang.String(x7)))
Cond_Load25971ARR19(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), x6)), java.lang.Object(java.lang.String(x7)))
JMP33402(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x6, x7)))
Load25971(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(java.lang.Object(Tree(x6, x7)), x8)))
Load25971ARR20(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(java.lang.Object(Tree(x6, x7)), x8)), java.lang.Object(java.lang.String(x9)))
Cond_Load25971ARR20(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(java.lang.Object(Tree(x6, x7)), x8)), java.lang.Object(java.lang.String(x9)))
Load25971ARR21(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, java.lang.Object(Tree(x5, x6)))), java.lang.Object(java.lang.String(x7)))
Cond_Load25971ARR21(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, java.lang.Object(Tree(x5, x6)))), java.lang.Object(java.lang.String(x7)))
JMP36265(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)))
Load25971(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x6, NULL)))
Load25971ARR22(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x6, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(x7)))
Cond_Load25971ARR22(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5)), java.lang.Object(Tree(x6, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(x7)))
Load25971ARR23(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), x4)), java.lang.Object(java.lang.String(x5)))
Cond_Load25971ARR23(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL)), x4)), java.lang.Object(java.lang.String(x5)))
Load25971ARR24(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(x5)))
Cond_Load25971ARR24(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, java.lang.Object(Tree(NULL, NULL)))), java.lang.Object(java.lang.String(x5)))

(63) ITRSFilterProcessorProof (SOUND transformation)

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

Load25971(x1, x2, x3, x4, x5) → Load25971(x1, x2, x3)
Tree(x1, x2) → Tree
Load25971ARR17(x1, x2, x3, x4, x5) → Load25971ARR17(x1, x2, x3, x5)
Cond_Load25971ARR17(x1, x2, x3, x4, x5, x6) → Cond_Load25971ARR17(x1, x2, x3, x4, x6)
JMP33402(x1, x2, x3, x4, x5) → JMP33402(x1, x2, x3)
Inc33515(x1, x2, x3, x4, x5) → Inc33515(x1, x2, x3)
Load25971ARR18(x1, x2, x3, x4, x5, x6) → Load25971ARR18(x1, x2, x3, x6)
Cond_Load25971ARR18(x1, x2, x3, x4, x5, x6, x7) → Cond_Load25971ARR18(x1, x2, x3, x4, x7)
Inc36340(x1, x2, x3, x4) → Inc36340(x1, x2, x3)
JMP36206(x1, x2, x3, x4) → JMP36206(x1, x2, x3)
Load25971ARR19(x1, x2, x3, x4, x5, x6) → Load25971ARR19(x1, x2, x3, x6)
Cond_Load25971ARR19(x1, x2, x3, x4, x5, x6, x7) → Cond_Load25971ARR19(x1, x2, x3, x4, x7)
Load25971ARR20(x1, x2, x3, x4, x5, x6) → Load25971ARR20(x1, x2, x3, x6)
Cond_Load25971ARR20(x1, x2, x3, x4, x5, x6, x7) → Cond_Load25971ARR20(x1, x2, x3, x4, x7)
Load25971ARR21(x1, x2, x3, x4, x5) → Load25971ARR21(x1, x2, x3, x5)
Cond_Load25971ARR21(x1, x2, x3, x4, x5, x6) → Cond_Load25971ARR21(x1, x2, x3, x4, x6)
JMP36265(x1, x2, x3, x4) → JMP36265(x1, x2, x3)
Load25971ARR22(x1, x2, x3, x4, x5, x6) → Load25971ARR22(x1, x2, x3, x6)
Cond_Load25971ARR22(x1, x2, x3, x4, x5, x6, x7) → Cond_Load25971ARR22(x1, x2, x3, x4, x7)
Load25971ARR23(x1, x2, x3, x4, x5) → Load25971ARR23(x1, x2, x3, x5)
Cond_Load25971ARR23(x1, x2, x3, x4, x5, x6) → Cond_Load25971ARR23(x1, x2, x3, x4, x6)
Load25971ARR24(x1, x2, x3, x4, x5) → Load25971ARR24(x1, x2, x3, x5)
Cond_Load25971ARR24(x1, x2, x3, x4, x5, x6) → Cond_Load25971ARR24(x1, x2, x3, x4, x6)

(64) Obligation:

ITRS problem:

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

The TRS R consists of the following rules:
Load25971(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399) → Load25971ARR17(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9213)))
Load25971ARR17(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9213))) → Cond_Load25971ARR17(i9213 > 0 && i7309 > 0 && i7309 < i4 && i7399 > 0 && i7309 + 1 > 0, java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9213)))
Cond_Load25971ARR17(TRUE, java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9213))) → JMP33402(java.lang.Object(ARRAY(i4, a51946data)), i7309 + 1, i7399)
Inc33515(java.lang.Object(ARRAY(i4, a51946data)), i8081, i7399) → Load25971(java.lang.Object(ARRAY(i4, a51946data)), i8081, i7399 + -1)
Load25971(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399) → Load25971ARR18(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9214)))
Load25971ARR18(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9214))) → Cond_Load25971ARR18(i9214 <= 0 && i7309 > 0 && i7309 < i4 && i7399 > 0 && i7309 + 1 > 0, java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9214)))
Cond_Load25971ARR18(TRUE, java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9214))) → Load25971(java.lang.Object(ARRAY(i4, a51946data)), i7309 + 1, i7399 + -1)
Inc36340(java.lang.Object(ARRAY(i4, a51946data)), i8081, i7399) → Load25971(java.lang.Object(ARRAY(i4, a51946data)), i8081, i7399 + -1)
JMP36206(java.lang.Object(ARRAY(i4, a51946data)), i8081, i7399) → Load25971(java.lang.Object(ARRAY(i4, a51946data)), i8081, i7399 + -1)
Load25971(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399) → Load25971ARR19(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9213)))
Load25971ARR19(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9213))) → Cond_Load25971ARR19(i9213 > 0 && i7309 > 0 && i7309 < i4 && i7399 > 0 && i7309 + 1 > 0, java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9213)))
Cond_Load25971ARR19(TRUE, java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9213))) → Load25971(java.lang.Object(ARRAY(i4, a51946data)), i7309 + 1, i7399 + -1)
JMP33402(java.lang.Object(ARRAY(i4, a51946data)), i8081, i7399) → Inc33515(java.lang.Object(ARRAY(i4, a51946data)), i8081, i7399)
Load25971(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399) → Load25971ARR20(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9213)))
Load25971ARR20(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9213))) → Cond_Load25971ARR20(i9213 > 0 && i7309 > 0 && i7309 < i4 && i7399 > 0 && i7309 + 1 > 0, java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9213)))
Cond_Load25971ARR20(TRUE, java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9213))) → Inc33515(java.lang.Object(ARRAY(i4, a51946data)), i7309 + 1, i7399)
Load25971(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399) → Load25971ARR21(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9214)))
Load25971ARR21(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9214))) → Cond_Load25971ARR21(i9214 <= 0 && i7309 > 0 && i7309 < i4 && i7399 > 0 && i7309 + 1 > 0, java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9214)))
Cond_Load25971ARR21(TRUE, java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9214))) → Inc33515(java.lang.Object(ARRAY(i4, a51946data)), i7309 + 1, i7399)
JMP36265(java.lang.Object(ARRAY(i4, a51946data)), i8081, i7399) → Inc36340(java.lang.Object(ARRAY(i4, a51946data)), i8081, i7399)
Load25971(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399) → Load25971ARR22(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9214)))
Load25971ARR22(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9214))) → Cond_Load25971ARR22(i9214 <= 0 && i7309 > 0 && i7309 < i4 && i7399 > 0 && i7309 + 1 > 0, java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9214)))
Cond_Load25971ARR22(TRUE, java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9214))) → Inc36340(java.lang.Object(ARRAY(i4, a51946data)), i7309 + 1, i7399)
Load25971(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399) → Load25971ARR23(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9213)))
Load25971ARR23(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9213))) → Cond_Load25971ARR23(i9213 > 0 && i7309 > 0 && i7309 < i4 && i7399 > 0 && i7309 + 1 > 0, java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9213)))
Cond_Load25971ARR23(TRUE, java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9213))) → JMP36206(java.lang.Object(ARRAY(i4, a51946data)), i7309 + 1, i7399)
Load25971(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399) → Load25971ARR24(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9214)))
Load25971ARR24(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9214))) → Cond_Load25971ARR24(i9214 <= 0 && i7309 > 0 && i7309 < i4 && i7399 > 0 && i7309 + 1 > 0, java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9214)))
Cond_Load25971ARR24(TRUE, java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9214))) → JMP36265(java.lang.Object(ARRAY(i4, a51946data)), i7309 + 1, i7399)
The set Q consists of the following terms:
Load25971(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load25971ARR17(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load25971ARR17(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Inc33515(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load25971ARR18(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load25971ARR18(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Inc36340(java.lang.Object(ARRAY(x0, x1)), x2, x3)
JMP36206(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load25971ARR19(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load25971ARR19(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
JMP33402(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load25971ARR20(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load25971ARR20(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Load25971ARR21(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load25971ARR21(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
JMP36265(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load25971ARR22(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load25971ARR22(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Load25971ARR23(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load25971ARR23(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Load25971ARR24(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load25971ARR24(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))

(65) ITRSFSMergerProof (SOUND transformation)

The following function symbols have been merged:

Load25971ARR20, Load25971ARR23
 > Load25971ARR20_4

Cond_Load25971ARR20, Cond_Load25971ARR23
 > Cond_Load25971ARR20_5

Inc33515, Inc36340, JMP36206
 > Inc33515_3

Load25971ARR21, Load25971ARR22
 > Load25971ARR21_4

JMP33402, JMP36265
 > JMP33402_3

Cond_Load25971ARR21, Cond_Load25971ARR22
 > Cond_Load25971ARR21_5

(66) Obligation:

ITRS problem:

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

The TRS R consists of the following rules:
Load25971(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399) → Load25971ARR17(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9213)))
Load25971ARR17(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9213))) → Cond_Load25971ARR17(i9213 > 0 && i7309 > 0 && i7309 < i4 && i7399 > 0 && i7309 + 1 > 0, java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9213)))
Cond_Load25971ARR17(TRUE, java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9213))) → JMP33402(java.lang.Object(ARRAY(i4, a51946data)), i7309 + 1, i7399)
Inc33515(java.lang.Object(ARRAY(i4, a51946data)), i8081, i7399) → Load25971(java.lang.Object(ARRAY(i4, a51946data)), i8081, i7399 + -1)
Load25971(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399) → Load25971ARR18(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9214)))
Load25971ARR18(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9214))) → Cond_Load25971ARR18(i9214 <= 0 && i7309 > 0 && i7309 < i4 && i7399 > 0 && i7309 + 1 > 0, java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9214)))
Cond_Load25971ARR18(TRUE, java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9214))) → Load25971(java.lang.Object(ARRAY(i4, a51946data)), i7309 + 1, i7399 + -1)
Load25971(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399) → Load25971ARR19(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9213)))
Load25971ARR19(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9213))) → Cond_Load25971ARR19(i9213 > 0 && i7309 > 0 && i7309 < i4 && i7399 > 0 && i7309 + 1 > 0, java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9213)))
Cond_Load25971ARR19(TRUE, java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9213))) → Load25971(java.lang.Object(ARRAY(i4, a51946data)), i7309 + 1, i7399 + -1)
JMP33402(java.lang.Object(ARRAY(i4, a51946data)), i8081, i7399) → Inc33515(java.lang.Object(ARRAY(i4, a51946data)), i8081, i7399)
Load25971(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399) → Load25971ARR20(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9213)))
Load25971ARR20(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9213))) → Cond_Load25971ARR20(i9213 > 0 && i7309 > 0 && i7309 < i4 && i7399 > 0 && i7309 + 1 > 0, java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9213)))
Cond_Load25971ARR20(TRUE, java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9213))) → Inc33515(java.lang.Object(ARRAY(i4, a51946data)), i7309 + 1, i7399)
Load25971(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399) → Load25971ARR21(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9214)))
Load25971ARR21(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9214))) → Cond_Load25971ARR21(i9214 <= 0 && i7309 > 0 && i7309 < i4 && i7399 > 0 && i7309 + 1 > 0, java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9214)))
Cond_Load25971ARR21(TRUE, java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9214))) → Inc33515(java.lang.Object(ARRAY(i4, a51946data)), i7309 + 1, i7399)
Load25971(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399) → Load25971ARR24(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9214)))
Load25971ARR24(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9214))) → Cond_Load25971ARR24(i9214 <= 0 && i7309 > 0 && i7309 < i4 && i7399 > 0 && i7309 + 1 > 0, java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9214)))
Cond_Load25971ARR24(TRUE, java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9214))) → JMP33402(java.lang.Object(ARRAY(i4, a51946data)), i7309 + 1, i7399)
The set Q consists of the following terms:
Load25971(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load25971ARR17(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load25971ARR17(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Inc33515(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load25971ARR18(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load25971ARR18(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Load25971ARR19(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load25971ARR19(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
JMP33402(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load25971ARR20(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load25971ARR20(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Load25971ARR21(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load25971ARR21(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Load25971ARR24(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load25971ARR24(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))

(67) ITRStoIDPProof (EQUIVALENT transformation)

Added dependency pairs

(68) Obligation:

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


The following domains are used:

Boolean, Integer


The ITRS R consists of the following rules:
Load25971(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399) → Load25971ARR17(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9213)))
Load25971ARR17(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9213))) → Cond_Load25971ARR17(i9213 > 0 && i7309 > 0 && i7309 < i4 && i7399 > 0 && i7309 + 1 > 0, java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9213)))
Cond_Load25971ARR17(TRUE, java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9213))) → JMP33402(java.lang.Object(ARRAY(i4, a51946data)), i7309 + 1, i7399)
Inc33515(java.lang.Object(ARRAY(i4, a51946data)), i8081, i7399) → Load25971(java.lang.Object(ARRAY(i4, a51946data)), i8081, i7399 + -1)
Load25971(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399) → Load25971ARR18(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9214)))
Load25971ARR18(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9214))) → Cond_Load25971ARR18(i9214 <= 0 && i7309 > 0 && i7309 < i4 && i7399 > 0 && i7309 + 1 > 0, java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9214)))
Cond_Load25971ARR18(TRUE, java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9214))) → Load25971(java.lang.Object(ARRAY(i4, a51946data)), i7309 + 1, i7399 + -1)
Load25971(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399) → Load25971ARR19(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9213)))
Load25971ARR19(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9213))) → Cond_Load25971ARR19(i9213 > 0 && i7309 > 0 && i7309 < i4 && i7399 > 0 && i7309 + 1 > 0, java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9213)))
Cond_Load25971ARR19(TRUE, java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9213))) → Load25971(java.lang.Object(ARRAY(i4, a51946data)), i7309 + 1, i7399 + -1)
JMP33402(java.lang.Object(ARRAY(i4, a51946data)), i8081, i7399) → Inc33515(java.lang.Object(ARRAY(i4, a51946data)), i8081, i7399)
Load25971(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399) → Load25971ARR20(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9213)))
Load25971ARR20(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9213))) → Cond_Load25971ARR20(i9213 > 0 && i7309 > 0 && i7309 < i4 && i7399 > 0 && i7309 + 1 > 0, java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9213)))
Cond_Load25971ARR20(TRUE, java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9213))) → Inc33515(java.lang.Object(ARRAY(i4, a51946data)), i7309 + 1, i7399)
Load25971(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399) → Load25971ARR21(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9214)))
Load25971ARR21(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9214))) → Cond_Load25971ARR21(i9214 <= 0 && i7309 > 0 && i7309 < i4 && i7399 > 0 && i7309 + 1 > 0, java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9214)))
Cond_Load25971ARR21(TRUE, java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9214))) → Inc33515(java.lang.Object(ARRAY(i4, a51946data)), i7309 + 1, i7399)
Load25971(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399) → Load25971ARR24(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9214)))
Load25971ARR24(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9214))) → Cond_Load25971ARR24(i9214 <= 0 && i7309 > 0 && i7309 < i4 && i7399 > 0 && i7309 + 1 > 0, java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9214)))
Cond_Load25971ARR24(TRUE, java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9214))) → JMP33402(java.lang.Object(ARRAY(i4, a51946data)), i7309 + 1, i7399)

The integer pair graph contains the following rules and edges:
(0): LOAD25971(java.lang.Object(ARRAY(i4[0], a51946data[0])), i7309[0], i7399[0]) → LOAD25971ARR17(java.lang.Object(ARRAY(i4[0], a51946data[0])), i7309[0], i7399[0], java.lang.Object(java.lang.String(i9213[0])))
(1): LOAD25971ARR17(java.lang.Object(ARRAY(i4[1], a51946data[1])), i7309[1], i7399[1], java.lang.Object(java.lang.String(i9213[1]))) → COND_LOAD25971ARR17(i9213[1] > 0 && i7309[1] > 0 && i7309[1] < i4[1] && i7399[1] > 0 && i7309[1] + 1 > 0, java.lang.Object(ARRAY(i4[1], a51946data[1])), i7309[1], i7399[1], java.lang.Object(java.lang.String(i9213[1])))
(2): COND_LOAD25971ARR17(TRUE, java.lang.Object(ARRAY(i4[2], a51946data[2])), i7309[2], i7399[2], java.lang.Object(java.lang.String(i9213[2]))) → JMP33402'(java.lang.Object(ARRAY(i4[2], a51946data[2])), i7309[2] + 1, i7399[2])
(3): INC33515(java.lang.Object(ARRAY(i4[3], a51946data[3])), i8081[3], i7399[3]) → LOAD25971(java.lang.Object(ARRAY(i4[3], a51946data[3])), i8081[3], i7399[3] + -1)
(4): LOAD25971(java.lang.Object(ARRAY(i4[4], a51946data[4])), i7309[4], i7399[4]) → LOAD25971ARR18(java.lang.Object(ARRAY(i4[4], a51946data[4])), i7309[4], i7399[4], java.lang.Object(java.lang.String(i9214[4])))
(5): LOAD25971ARR18(java.lang.Object(ARRAY(i4[5], a51946data[5])), i7309[5], i7399[5], java.lang.Object(java.lang.String(i9214[5]))) → COND_LOAD25971ARR18(i9214[5] <= 0 && i7309[5] > 0 && i7309[5] < i4[5] && i7399[5] > 0 && i7309[5] + 1 > 0, java.lang.Object(ARRAY(i4[5], a51946data[5])), i7309[5], i7399[5], java.lang.Object(java.lang.String(i9214[5])))
(6): COND_LOAD25971ARR18(TRUE, java.lang.Object(ARRAY(i4[6], a51946data[6])), i7309[6], i7399[6], java.lang.Object(java.lang.String(i9214[6]))) → LOAD25971(java.lang.Object(ARRAY(i4[6], a51946data[6])), i7309[6] + 1, i7399[6] + -1)
(7): LOAD25971(java.lang.Object(ARRAY(i4[7], a51946data[7])), i7309[7], i7399[7]) → LOAD25971ARR19(java.lang.Object(ARRAY(i4[7], a51946data[7])), i7309[7], i7399[7], java.lang.Object(java.lang.String(i9213[7])))
(8): LOAD25971ARR19(java.lang.Object(ARRAY(i4[8], a51946data[8])), i7309[8], i7399[8], java.lang.Object(java.lang.String(i9213[8]))) → COND_LOAD25971ARR19(i9213[8] > 0 && i7309[8] > 0 && i7309[8] < i4[8] && i7399[8] > 0 && i7309[8] + 1 > 0, java.lang.Object(ARRAY(i4[8], a51946data[8])), i7309[8], i7399[8], java.lang.Object(java.lang.String(i9213[8])))
(9): COND_LOAD25971ARR19(TRUE, java.lang.Object(ARRAY(i4[9], a51946data[9])), i7309[9], i7399[9], java.lang.Object(java.lang.String(i9213[9]))) → LOAD25971(java.lang.Object(ARRAY(i4[9], a51946data[9])), i7309[9] + 1, i7399[9] + -1)
(10): JMP33402'(java.lang.Object(ARRAY(i4[10], a51946data[10])), i8081[10], i7399[10]) → INC33515(java.lang.Object(ARRAY(i4[10], a51946data[10])), i8081[10], i7399[10])
(11): LOAD25971(java.lang.Object(ARRAY(i4[11], a51946data[11])), i7309[11], i7399[11]) → LOAD25971ARR20(java.lang.Object(ARRAY(i4[11], a51946data[11])), i7309[11], i7399[11], java.lang.Object(java.lang.String(i9213[11])))
(12): LOAD25971ARR20(java.lang.Object(ARRAY(i4[12], a51946data[12])), i7309[12], i7399[12], java.lang.Object(java.lang.String(i9213[12]))) → COND_LOAD25971ARR20(i9213[12] > 0 && i7309[12] > 0 && i7309[12] < i4[12] && i7399[12] > 0 && i7309[12] + 1 > 0, java.lang.Object(ARRAY(i4[12], a51946data[12])), i7309[12], i7399[12], java.lang.Object(java.lang.String(i9213[12])))
(13): COND_LOAD25971ARR20(TRUE, java.lang.Object(ARRAY(i4[13], a51946data[13])), i7309[13], i7399[13], java.lang.Object(java.lang.String(i9213[13]))) → INC33515(java.lang.Object(ARRAY(i4[13], a51946data[13])), i7309[13] + 1, i7399[13])
(14): LOAD25971(java.lang.Object(ARRAY(i4[14], a51946data[14])), i7309[14], i7399[14]) → LOAD25971ARR21(java.lang.Object(ARRAY(i4[14], a51946data[14])), i7309[14], i7399[14], java.lang.Object(java.lang.String(i9214[14])))
(15): LOAD25971ARR21(java.lang.Object(ARRAY(i4[15], a51946data[15])), i7309[15], i7399[15], java.lang.Object(java.lang.String(i9214[15]))) → COND_LOAD25971ARR21(i9214[15] <= 0 && i7309[15] > 0 && i7309[15] < i4[15] && i7399[15] > 0 && i7309[15] + 1 > 0, java.lang.Object(ARRAY(i4[15], a51946data[15])), i7309[15], i7399[15], java.lang.Object(java.lang.String(i9214[15])))
(16): COND_LOAD25971ARR21(TRUE, java.lang.Object(ARRAY(i4[16], a51946data[16])), i7309[16], i7399[16], java.lang.Object(java.lang.String(i9214[16]))) → INC33515(java.lang.Object(ARRAY(i4[16], a51946data[16])), i7309[16] + 1, i7399[16])
(17): LOAD25971(java.lang.Object(ARRAY(i4[17], a51946data[17])), i7309[17], i7399[17]) → LOAD25971ARR24(java.lang.Object(ARRAY(i4[17], a51946data[17])), i7309[17], i7399[17], java.lang.Object(java.lang.String(i9214[17])))
(18): LOAD25971ARR24(java.lang.Object(ARRAY(i4[18], a51946data[18])), i7309[18], i7399[18], java.lang.Object(java.lang.String(i9214[18]))) → COND_LOAD25971ARR24(i9214[18] <= 0 && i7309[18] > 0 && i7309[18] < i4[18] && i7399[18] > 0 && i7309[18] + 1 > 0, java.lang.Object(ARRAY(i4[18], a51946data[18])), i7309[18], i7399[18], java.lang.Object(java.lang.String(i9214[18])))
(19): COND_LOAD25971ARR24(TRUE, java.lang.Object(ARRAY(i4[19], a51946data[19])), i7309[19], i7399[19], java.lang.Object(java.lang.String(i9214[19]))) → JMP33402'(java.lang.Object(ARRAY(i4[19], a51946data[19])), i7309[19] + 1, i7399[19])

(0) -> (1), if ((i7399[0] →* i7399[1])∧(java.lang.Object(ARRAY(i4[0], a51946data[0])) →* java.lang.Object(ARRAY(i4[1], a51946data[1])))∧(java.lang.Object(java.lang.String(i9213[0])) →* java.lang.Object(java.lang.String(i9213[1])))∧(i7309[0] →* i7309[1]))


(1) -> (2), if ((java.lang.Object(ARRAY(i4[1], a51946data[1])) →* java.lang.Object(ARRAY(i4[2], a51946data[2])))∧(i9213[1] > 0 && i7309[1] > 0 && i7309[1] < i4[1] && i7399[1] > 0 && i7309[1] + 1 > 0 →* TRUE)∧(i7399[1] →* i7399[2])∧(i7309[1] →* i7309[2])∧(java.lang.Object(java.lang.String(i9213[1])) →* java.lang.Object(java.lang.String(i9213[2]))))


(2) -> (10), if ((java.lang.Object(ARRAY(i4[2], a51946data[2])) →* java.lang.Object(ARRAY(i4[10], a51946data[10])))∧(i7399[2] →* i7399[10])∧(i7309[2] + 1 →* i8081[10]))


(3) -> (0), if ((i7399[3] + -1 →* i7399[0])∧(i8081[3] →* i7309[0])∧(java.lang.Object(ARRAY(i4[3], a51946data[3])) →* java.lang.Object(ARRAY(i4[0], a51946data[0]))))


(3) -> (4), if ((i7399[3] + -1 →* i7399[4])∧(i8081[3] →* i7309[4])∧(java.lang.Object(ARRAY(i4[3], a51946data[3])) →* java.lang.Object(ARRAY(i4[4], a51946data[4]))))


(3) -> (7), if ((i7399[3] + -1 →* i7399[7])∧(i8081[3] →* i7309[7])∧(java.lang.Object(ARRAY(i4[3], a51946data[3])) →* java.lang.Object(ARRAY(i4[7], a51946data[7]))))


(3) -> (11), if ((i7399[3] + -1 →* i7399[11])∧(i8081[3] →* i7309[11])∧(java.lang.Object(ARRAY(i4[3], a51946data[3])) →* java.lang.Object(ARRAY(i4[11], a51946data[11]))))


(3) -> (14), if ((i7399[3] + -1 →* i7399[14])∧(i8081[3] →* i7309[14])∧(java.lang.Object(ARRAY(i4[3], a51946data[3])) →* java.lang.Object(ARRAY(i4[14], a51946data[14]))))


(3) -> (17), if ((java.lang.Object(ARRAY(i4[3], a51946data[3])) →* java.lang.Object(ARRAY(i4[17], a51946data[17])))∧(i7399[3] + -1 →* i7399[17])∧(i8081[3] →* i7309[17]))


(4) -> (5), if ((i7309[4] →* i7309[5])∧(java.lang.Object(java.lang.String(i9214[4])) →* java.lang.Object(java.lang.String(i9214[5])))∧(i7399[4] →* i7399[5])∧(java.lang.Object(ARRAY(i4[4], a51946data[4])) →* java.lang.Object(ARRAY(i4[5], a51946data[5]))))


(5) -> (6), if ((i7309[5] →* i7309[6])∧(java.lang.Object(ARRAY(i4[5], a51946data[5])) →* java.lang.Object(ARRAY(i4[6], a51946data[6])))∧(i7399[5] →* i7399[6])∧(i9214[5] <= 0 && i7309[5] > 0 && i7309[5] < i4[5] && i7399[5] > 0 && i7309[5] + 1 > 0 →* TRUE)∧(java.lang.Object(java.lang.String(i9214[5])) →* java.lang.Object(java.lang.String(i9214[6]))))


(6) -> (0), if ((i7399[6] + -1 →* i7399[0])∧(i7309[6] + 1 →* i7309[0])∧(java.lang.Object(ARRAY(i4[6], a51946data[6])) →* java.lang.Object(ARRAY(i4[0], a51946data[0]))))


(6) -> (4), if ((i7399[6] + -1 →* i7399[4])∧(java.lang.Object(ARRAY(i4[6], a51946data[6])) →* java.lang.Object(ARRAY(i4[4], a51946data[4])))∧(i7309[6] + 1 →* i7309[4]))


(6) -> (7), if ((i7399[6] + -1 →* i7399[7])∧(i7309[6] + 1 →* i7309[7])∧(java.lang.Object(ARRAY(i4[6], a51946data[6])) →* java.lang.Object(ARRAY(i4[7], a51946data[7]))))


(6) -> (11), if ((i7399[6] + -1 →* i7399[11])∧(i7309[6] + 1 →* i7309[11])∧(java.lang.Object(ARRAY(i4[6], a51946data[6])) →* java.lang.Object(ARRAY(i4[11], a51946data[11]))))


(6) -> (14), if ((i7399[6] + -1 →* i7399[14])∧(java.lang.Object(ARRAY(i4[6], a51946data[6])) →* java.lang.Object(ARRAY(i4[14], a51946data[14])))∧(i7309[6] + 1 →* i7309[14]))


(6) -> (17), if ((java.lang.Object(ARRAY(i4[6], a51946data[6])) →* java.lang.Object(ARRAY(i4[17], a51946data[17])))∧(i7309[6] + 1 →* i7309[17])∧(i7399[6] + -1 →* i7399[17]))


(7) -> (8), if ((java.lang.Object(java.lang.String(i9213[7])) →* java.lang.Object(java.lang.String(i9213[8])))∧(i7309[7] →* i7309[8])∧(i7399[7] →* i7399[8])∧(java.lang.Object(ARRAY(i4[7], a51946data[7])) →* java.lang.Object(ARRAY(i4[8], a51946data[8]))))


(8) -> (9), if ((i7309[8] →* i7309[9])∧(i9213[8] > 0 && i7309[8] > 0 && i7309[8] < i4[8] && i7399[8] > 0 && i7309[8] + 1 > 0 →* TRUE)∧(java.lang.Object(java.lang.String(i9213[8])) →* java.lang.Object(java.lang.String(i9213[9])))∧(i7399[8] →* i7399[9])∧(java.lang.Object(ARRAY(i4[8], a51946data[8])) →* java.lang.Object(ARRAY(i4[9], a51946data[9]))))


(9) -> (0), if ((java.lang.Object(ARRAY(i4[9], a51946data[9])) →* java.lang.Object(ARRAY(i4[0], a51946data[0])))∧(i7399[9] + -1 →* i7399[0])∧(i7309[9] + 1 →* i7309[0]))


(9) -> (4), if ((i7309[9] + 1 →* i7309[4])∧(java.lang.Object(ARRAY(i4[9], a51946data[9])) →* java.lang.Object(ARRAY(i4[4], a51946data[4])))∧(i7399[9] + -1 →* i7399[4]))


(9) -> (7), if ((java.lang.Object(ARRAY(i4[9], a51946data[9])) →* java.lang.Object(ARRAY(i4[7], a51946data[7])))∧(i7399[9] + -1 →* i7399[7])∧(i7309[9] + 1 →* i7309[7]))


(9) -> (11), if ((i7399[9] + -1 →* i7399[11])∧(java.lang.Object(ARRAY(i4[9], a51946data[9])) →* java.lang.Object(ARRAY(i4[11], a51946data[11])))∧(i7309[9] + 1 →* i7309[11]))


(9) -> (14), if ((java.lang.Object(ARRAY(i4[9], a51946data[9])) →* java.lang.Object(ARRAY(i4[14], a51946data[14])))∧(i7399[9] + -1 →* i7399[14])∧(i7309[9] + 1 →* i7309[14]))


(9) -> (17), if ((i7309[9] + 1 →* i7309[17])∧(i7399[9] + -1 →* i7399[17])∧(java.lang.Object(ARRAY(i4[9], a51946data[9])) →* java.lang.Object(ARRAY(i4[17], a51946data[17]))))


(10) -> (3), if ((i8081[10] →* i8081[3])∧(java.lang.Object(ARRAY(i4[10], a51946data[10])) →* java.lang.Object(ARRAY(i4[3], a51946data[3])))∧(i7399[10] →* i7399[3]))


(11) -> (12), if ((java.lang.Object(ARRAY(i4[11], a51946data[11])) →* java.lang.Object(ARRAY(i4[12], a51946data[12])))∧(i7399[11] →* i7399[12])∧(java.lang.Object(java.lang.String(i9213[11])) →* java.lang.Object(java.lang.String(i9213[12])))∧(i7309[11] →* i7309[12]))


(12) -> (13), if ((java.lang.Object(java.lang.String(i9213[12])) →* java.lang.Object(java.lang.String(i9213[13])))∧(i9213[12] > 0 && i7309[12] > 0 && i7309[12] < i4[12] && i7399[12] > 0 && i7309[12] + 1 > 0 →* TRUE)∧(i7309[12] →* i7309[13])∧(java.lang.Object(ARRAY(i4[12], a51946data[12])) →* java.lang.Object(ARRAY(i4[13], a51946data[13])))∧(i7399[12] →* i7399[13]))


(13) -> (3), if ((i7309[13] + 1 →* i8081[3])∧(java.lang.Object(ARRAY(i4[13], a51946data[13])) →* java.lang.Object(ARRAY(i4[3], a51946data[3])))∧(i7399[13] →* i7399[3]))


(14) -> (15), if ((i7309[14] →* i7309[15])∧(java.lang.Object(java.lang.String(i9214[14])) →* java.lang.Object(java.lang.String(i9214[15])))∧(java.lang.Object(ARRAY(i4[14], a51946data[14])) →* java.lang.Object(ARRAY(i4[15], a51946data[15])))∧(i7399[14] →* i7399[15]))


(15) -> (16), if ((i7399[15] →* i7399[16])∧(java.lang.Object(java.lang.String(i9214[15])) →* java.lang.Object(java.lang.String(i9214[16])))∧(java.lang.Object(ARRAY(i4[15], a51946data[15])) →* java.lang.Object(ARRAY(i4[16], a51946data[16])))∧(i9214[15] <= 0 && i7309[15] > 0 && i7309[15] < i4[15] && i7399[15] > 0 && i7309[15] + 1 > 0 →* TRUE)∧(i7309[15] →* i7309[16]))


(16) -> (3), if ((i7399[16] →* i7399[3])∧(i7309[16] + 1 →* i8081[3])∧(java.lang.Object(ARRAY(i4[16], a51946data[16])) →* java.lang.Object(ARRAY(i4[3], a51946data[3]))))


(17) -> (18), if ((java.lang.Object(java.lang.String(i9214[17])) →* java.lang.Object(java.lang.String(i9214[18])))∧(i7399[17] →* i7399[18])∧(java.lang.Object(ARRAY(i4[17], a51946data[17])) →* java.lang.Object(ARRAY(i4[18], a51946data[18])))∧(i7309[17] →* i7309[18]))


(18) -> (19), if ((java.lang.Object(ARRAY(i4[18], a51946data[18])) →* java.lang.Object(ARRAY(i4[19], a51946data[19])))∧(i9214[18] <= 0 && i7309[18] > 0 && i7309[18] < i4[18] && i7399[18] > 0 && i7309[18] + 1 > 0 →* TRUE)∧(i7309[18] →* i7309[19])∧(i7399[18] →* i7399[19])∧(java.lang.Object(java.lang.String(i9214[18])) →* java.lang.Object(java.lang.String(i9214[19]))))


(19) -> (10), if ((i7309[19] + 1 →* i8081[10])∧(java.lang.Object(ARRAY(i4[19], a51946data[19])) →* java.lang.Object(ARRAY(i4[10], a51946data[10])))∧(i7399[19] →* i7399[10]))



The set Q consists of the following terms:
Load25971(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load25971ARR17(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load25971ARR17(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Inc33515(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load25971ARR18(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load25971ARR18(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Load25971ARR19(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load25971ARR19(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
JMP33402(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load25971ARR20(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load25971ARR20(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Load25971ARR21(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load25971ARR21(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Load25971ARR24(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load25971ARR24(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))

(69) 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.

(70) Obligation:

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


The following domains are used:

Boolean, Integer


R is empty.

The integer pair graph contains the following rules and edges:
(0): LOAD25971(java.lang.Object(ARRAY(i4[0], a51946data[0])), i7309[0], i7399[0]) → LOAD25971ARR17(java.lang.Object(ARRAY(i4[0], a51946data[0])), i7309[0], i7399[0], java.lang.Object(java.lang.String(i9213[0])))
(1): LOAD25971ARR17(java.lang.Object(ARRAY(i4[1], a51946data[1])), i7309[1], i7399[1], java.lang.Object(java.lang.String(i9213[1]))) → COND_LOAD25971ARR17(i9213[1] > 0 && i7309[1] > 0 && i7309[1] < i4[1] && i7399[1] > 0 && i7309[1] + 1 > 0, java.lang.Object(ARRAY(i4[1], a51946data[1])), i7309[1], i7399[1], java.lang.Object(java.lang.String(i9213[1])))
(2): COND_LOAD25971ARR17(TRUE, java.lang.Object(ARRAY(i4[2], a51946data[2])), i7309[2], i7399[2], java.lang.Object(java.lang.String(i9213[2]))) → JMP33402'(java.lang.Object(ARRAY(i4[2], a51946data[2])), i7309[2] + 1, i7399[2])
(3): INC33515(java.lang.Object(ARRAY(i4[3], a51946data[3])), i8081[3], i7399[3]) → LOAD25971(java.lang.Object(ARRAY(i4[3], a51946data[3])), i8081[3], i7399[3] + -1)
(4): LOAD25971(java.lang.Object(ARRAY(i4[4], a51946data[4])), i7309[4], i7399[4]) → LOAD25971ARR18(java.lang.Object(ARRAY(i4[4], a51946data[4])), i7309[4], i7399[4], java.lang.Object(java.lang.String(i9214[4])))
(5): LOAD25971ARR18(java.lang.Object(ARRAY(i4[5], a51946data[5])), i7309[5], i7399[5], java.lang.Object(java.lang.String(i9214[5]))) → COND_LOAD25971ARR18(i9214[5] <= 0 && i7309[5] > 0 && i7309[5] < i4[5] && i7399[5] > 0 && i7309[5] + 1 > 0, java.lang.Object(ARRAY(i4[5], a51946data[5])), i7309[5], i7399[5], java.lang.Object(java.lang.String(i9214[5])))
(6): COND_LOAD25971ARR18(TRUE, java.lang.Object(ARRAY(i4[6], a51946data[6])), i7309[6], i7399[6], java.lang.Object(java.lang.String(i9214[6]))) → LOAD25971(java.lang.Object(ARRAY(i4[6], a51946data[6])), i7309[6] + 1, i7399[6] + -1)
(7): LOAD25971(java.lang.Object(ARRAY(i4[7], a51946data[7])), i7309[7], i7399[7]) → LOAD25971ARR19(java.lang.Object(ARRAY(i4[7], a51946data[7])), i7309[7], i7399[7], java.lang.Object(java.lang.String(i9213[7])))
(8): LOAD25971ARR19(java.lang.Object(ARRAY(i4[8], a51946data[8])), i7309[8], i7399[8], java.lang.Object(java.lang.String(i9213[8]))) → COND_LOAD25971ARR19(i9213[8] > 0 && i7309[8] > 0 && i7309[8] < i4[8] && i7399[8] > 0 && i7309[8] + 1 > 0, java.lang.Object(ARRAY(i4[8], a51946data[8])), i7309[8], i7399[8], java.lang.Object(java.lang.String(i9213[8])))
(9): COND_LOAD25971ARR19(TRUE, java.lang.Object(ARRAY(i4[9], a51946data[9])), i7309[9], i7399[9], java.lang.Object(java.lang.String(i9213[9]))) → LOAD25971(java.lang.Object(ARRAY(i4[9], a51946data[9])), i7309[9] + 1, i7399[9] + -1)
(10): JMP33402'(java.lang.Object(ARRAY(i4[10], a51946data[10])), i8081[10], i7399[10]) → INC33515(java.lang.Object(ARRAY(i4[10], a51946data[10])), i8081[10], i7399[10])
(11): LOAD25971(java.lang.Object(ARRAY(i4[11], a51946data[11])), i7309[11], i7399[11]) → LOAD25971ARR20(java.lang.Object(ARRAY(i4[11], a51946data[11])), i7309[11], i7399[11], java.lang.Object(java.lang.String(i9213[11])))
(12): LOAD25971ARR20(java.lang.Object(ARRAY(i4[12], a51946data[12])), i7309[12], i7399[12], java.lang.Object(java.lang.String(i9213[12]))) → COND_LOAD25971ARR20(i9213[12] > 0 && i7309[12] > 0 && i7309[12] < i4[12] && i7399[12] > 0 && i7309[12] + 1 > 0, java.lang.Object(ARRAY(i4[12], a51946data[12])), i7309[12], i7399[12], java.lang.Object(java.lang.String(i9213[12])))
(13): COND_LOAD25971ARR20(TRUE, java.lang.Object(ARRAY(i4[13], a51946data[13])), i7309[13], i7399[13], java.lang.Object(java.lang.String(i9213[13]))) → INC33515(java.lang.Object(ARRAY(i4[13], a51946data[13])), i7309[13] + 1, i7399[13])
(14): LOAD25971(java.lang.Object(ARRAY(i4[14], a51946data[14])), i7309[14], i7399[14]) → LOAD25971ARR21(java.lang.Object(ARRAY(i4[14], a51946data[14])), i7309[14], i7399[14], java.lang.Object(java.lang.String(i9214[14])))
(15): LOAD25971ARR21(java.lang.Object(ARRAY(i4[15], a51946data[15])), i7309[15], i7399[15], java.lang.Object(java.lang.String(i9214[15]))) → COND_LOAD25971ARR21(i9214[15] <= 0 && i7309[15] > 0 && i7309[15] < i4[15] && i7399[15] > 0 && i7309[15] + 1 > 0, java.lang.Object(ARRAY(i4[15], a51946data[15])), i7309[15], i7399[15], java.lang.Object(java.lang.String(i9214[15])))
(16): COND_LOAD25971ARR21(TRUE, java.lang.Object(ARRAY(i4[16], a51946data[16])), i7309[16], i7399[16], java.lang.Object(java.lang.String(i9214[16]))) → INC33515(java.lang.Object(ARRAY(i4[16], a51946data[16])), i7309[16] + 1, i7399[16])
(17): LOAD25971(java.lang.Object(ARRAY(i4[17], a51946data[17])), i7309[17], i7399[17]) → LOAD25971ARR24(java.lang.Object(ARRAY(i4[17], a51946data[17])), i7309[17], i7399[17], java.lang.Object(java.lang.String(i9214[17])))
(18): LOAD25971ARR24(java.lang.Object(ARRAY(i4[18], a51946data[18])), i7309[18], i7399[18], java.lang.Object(java.lang.String(i9214[18]))) → COND_LOAD25971ARR24(i9214[18] <= 0 && i7309[18] > 0 && i7309[18] < i4[18] && i7399[18] > 0 && i7309[18] + 1 > 0, java.lang.Object(ARRAY(i4[18], a51946data[18])), i7309[18], i7399[18], java.lang.Object(java.lang.String(i9214[18])))
(19): COND_LOAD25971ARR24(TRUE, java.lang.Object(ARRAY(i4[19], a51946data[19])), i7309[19], i7399[19], java.lang.Object(java.lang.String(i9214[19]))) → JMP33402'(java.lang.Object(ARRAY(i4[19], a51946data[19])), i7309[19] + 1, i7399[19])

(0) -> (1), if ((i7399[0] →* i7399[1])∧(java.lang.Object(ARRAY(i4[0], a51946data[0])) →* java.lang.Object(ARRAY(i4[1], a51946data[1])))∧(java.lang.Object(java.lang.String(i9213[0])) →* java.lang.Object(java.lang.String(i9213[1])))∧(i7309[0] →* i7309[1]))


(1) -> (2), if ((java.lang.Object(ARRAY(i4[1], a51946data[1])) →* java.lang.Object(ARRAY(i4[2], a51946data[2])))∧(i9213[1] > 0 && i7309[1] > 0 && i7309[1] < i4[1] && i7399[1] > 0 && i7309[1] + 1 > 0 →* TRUE)∧(i7399[1] →* i7399[2])∧(i7309[1] →* i7309[2])∧(java.lang.Object(java.lang.String(i9213[1])) →* java.lang.Object(java.lang.String(i9213[2]))))


(2) -> (10), if ((java.lang.Object(ARRAY(i4[2], a51946data[2])) →* java.lang.Object(ARRAY(i4[10], a51946data[10])))∧(i7399[2] →* i7399[10])∧(i7309[2] + 1 →* i8081[10]))


(3) -> (0), if ((i7399[3] + -1 →* i7399[0])∧(i8081[3] →* i7309[0])∧(java.lang.Object(ARRAY(i4[3], a51946data[3])) →* java.lang.Object(ARRAY(i4[0], a51946data[0]))))


(3) -> (4), if ((i7399[3] + -1 →* i7399[4])∧(i8081[3] →* i7309[4])∧(java.lang.Object(ARRAY(i4[3], a51946data[3])) →* java.lang.Object(ARRAY(i4[4], a51946data[4]))))


(3) -> (7), if ((i7399[3] + -1 →* i7399[7])∧(i8081[3] →* i7309[7])∧(java.lang.Object(ARRAY(i4[3], a51946data[3])) →* java.lang.Object(ARRAY(i4[7], a51946data[7]))))


(3) -> (11), if ((i7399[3] + -1 →* i7399[11])∧(i8081[3] →* i7309[11])∧(java.lang.Object(ARRAY(i4[3], a51946data[3])) →* java.lang.Object(ARRAY(i4[11], a51946data[11]))))


(3) -> (14), if ((i7399[3] + -1 →* i7399[14])∧(i8081[3] →* i7309[14])∧(java.lang.Object(ARRAY(i4[3], a51946data[3])) →* java.lang.Object(ARRAY(i4[14], a51946data[14]))))


(3) -> (17), if ((java.lang.Object(ARRAY(i4[3], a51946data[3])) →* java.lang.Object(ARRAY(i4[17], a51946data[17])))∧(i7399[3] + -1 →* i7399[17])∧(i8081[3] →* i7309[17]))


(4) -> (5), if ((i7309[4] →* i7309[5])∧(java.lang.Object(java.lang.String(i9214[4])) →* java.lang.Object(java.lang.String(i9214[5])))∧(i7399[4] →* i7399[5])∧(java.lang.Object(ARRAY(i4[4], a51946data[4])) →* java.lang.Object(ARRAY(i4[5], a51946data[5]))))


(5) -> (6), if ((i7309[5] →* i7309[6])∧(java.lang.Object(ARRAY(i4[5], a51946data[5])) →* java.lang.Object(ARRAY(i4[6], a51946data[6])))∧(i7399[5] →* i7399[6])∧(i9214[5] <= 0 && i7309[5] > 0 && i7309[5] < i4[5] && i7399[5] > 0 && i7309[5] + 1 > 0 →* TRUE)∧(java.lang.Object(java.lang.String(i9214[5])) →* java.lang.Object(java.lang.String(i9214[6]))))


(6) -> (0), if ((i7399[6] + -1 →* i7399[0])∧(i7309[6] + 1 →* i7309[0])∧(java.lang.Object(ARRAY(i4[6], a51946data[6])) →* java.lang.Object(ARRAY(i4[0], a51946data[0]))))


(6) -> (4), if ((i7399[6] + -1 →* i7399[4])∧(java.lang.Object(ARRAY(i4[6], a51946data[6])) →* java.lang.Object(ARRAY(i4[4], a51946data[4])))∧(i7309[6] + 1 →* i7309[4]))


(6) -> (7), if ((i7399[6] + -1 →* i7399[7])∧(i7309[6] + 1 →* i7309[7])∧(java.lang.Object(ARRAY(i4[6], a51946data[6])) →* java.lang.Object(ARRAY(i4[7], a51946data[7]))))


(6) -> (11), if ((i7399[6] + -1 →* i7399[11])∧(i7309[6] + 1 →* i7309[11])∧(java.lang.Object(ARRAY(i4[6], a51946data[6])) →* java.lang.Object(ARRAY(i4[11], a51946data[11]))))


(6) -> (14), if ((i7399[6] + -1 →* i7399[14])∧(java.lang.Object(ARRAY(i4[6], a51946data[6])) →* java.lang.Object(ARRAY(i4[14], a51946data[14])))∧(i7309[6] + 1 →* i7309[14]))


(6) -> (17), if ((java.lang.Object(ARRAY(i4[6], a51946data[6])) →* java.lang.Object(ARRAY(i4[17], a51946data[17])))∧(i7309[6] + 1 →* i7309[17])∧(i7399[6] + -1 →* i7399[17]))


(7) -> (8), if ((java.lang.Object(java.lang.String(i9213[7])) →* java.lang.Object(java.lang.String(i9213[8])))∧(i7309[7] →* i7309[8])∧(i7399[7] →* i7399[8])∧(java.lang.Object(ARRAY(i4[7], a51946data[7])) →* java.lang.Object(ARRAY(i4[8], a51946data[8]))))


(8) -> (9), if ((i7309[8] →* i7309[9])∧(i9213[8] > 0 && i7309[8] > 0 && i7309[8] < i4[8] && i7399[8] > 0 && i7309[8] + 1 > 0 →* TRUE)∧(java.lang.Object(java.lang.String(i9213[8])) →* java.lang.Object(java.lang.String(i9213[9])))∧(i7399[8] →* i7399[9])∧(java.lang.Object(ARRAY(i4[8], a51946data[8])) →* java.lang.Object(ARRAY(i4[9], a51946data[9]))))


(9) -> (0), if ((java.lang.Object(ARRAY(i4[9], a51946data[9])) →* java.lang.Object(ARRAY(i4[0], a51946data[0])))∧(i7399[9] + -1 →* i7399[0])∧(i7309[9] + 1 →* i7309[0]))


(9) -> (4), if ((i7309[9] + 1 →* i7309[4])∧(java.lang.Object(ARRAY(i4[9], a51946data[9])) →* java.lang.Object(ARRAY(i4[4], a51946data[4])))∧(i7399[9] + -1 →* i7399[4]))


(9) -> (7), if ((java.lang.Object(ARRAY(i4[9], a51946data[9])) →* java.lang.Object(ARRAY(i4[7], a51946data[7])))∧(i7399[9] + -1 →* i7399[7])∧(i7309[9] + 1 →* i7309[7]))


(9) -> (11), if ((i7399[9] + -1 →* i7399[11])∧(java.lang.Object(ARRAY(i4[9], a51946data[9])) →* java.lang.Object(ARRAY(i4[11], a51946data[11])))∧(i7309[9] + 1 →* i7309[11]))


(9) -> (14), if ((java.lang.Object(ARRAY(i4[9], a51946data[9])) →* java.lang.Object(ARRAY(i4[14], a51946data[14])))∧(i7399[9] + -1 →* i7399[14])∧(i7309[9] + 1 →* i7309[14]))


(9) -> (17), if ((i7309[9] + 1 →* i7309[17])∧(i7399[9] + -1 →* i7399[17])∧(java.lang.Object(ARRAY(i4[9], a51946data[9])) →* java.lang.Object(ARRAY(i4[17], a51946data[17]))))


(10) -> (3), if ((i8081[10] →* i8081[3])∧(java.lang.Object(ARRAY(i4[10], a51946data[10])) →* java.lang.Object(ARRAY(i4[3], a51946data[3])))∧(i7399[10] →* i7399[3]))


(11) -> (12), if ((java.lang.Object(ARRAY(i4[11], a51946data[11])) →* java.lang.Object(ARRAY(i4[12], a51946data[12])))∧(i7399[11] →* i7399[12])∧(java.lang.Object(java.lang.String(i9213[11])) →* java.lang.Object(java.lang.String(i9213[12])))∧(i7309[11] →* i7309[12]))


(12) -> (13), if ((java.lang.Object(java.lang.String(i9213[12])) →* java.lang.Object(java.lang.String(i9213[13])))∧(i9213[12] > 0 && i7309[12] > 0 && i7309[12] < i4[12] && i7399[12] > 0 && i7309[12] + 1 > 0 →* TRUE)∧(i7309[12] →* i7309[13])∧(java.lang.Object(ARRAY(i4[12], a51946data[12])) →* java.lang.Object(ARRAY(i4[13], a51946data[13])))∧(i7399[12] →* i7399[13]))


(13) -> (3), if ((i7309[13] + 1 →* i8081[3])∧(java.lang.Object(ARRAY(i4[13], a51946data[13])) →* java.lang.Object(ARRAY(i4[3], a51946data[3])))∧(i7399[13] →* i7399[3]))


(14) -> (15), if ((i7309[14] →* i7309[15])∧(java.lang.Object(java.lang.String(i9214[14])) →* java.lang.Object(java.lang.String(i9214[15])))∧(java.lang.Object(ARRAY(i4[14], a51946data[14])) →* java.lang.Object(ARRAY(i4[15], a51946data[15])))∧(i7399[14] →* i7399[15]))


(15) -> (16), if ((i7399[15] →* i7399[16])∧(java.lang.Object(java.lang.String(i9214[15])) →* java.lang.Object(java.lang.String(i9214[16])))∧(java.lang.Object(ARRAY(i4[15], a51946data[15])) →* java.lang.Object(ARRAY(i4[16], a51946data[16])))∧(i9214[15] <= 0 && i7309[15] > 0 && i7309[15] < i4[15] && i7399[15] > 0 && i7309[15] + 1 > 0 →* TRUE)∧(i7309[15] →* i7309[16]))


(16) -> (3), if ((i7399[16] →* i7399[3])∧(i7309[16] + 1 →* i8081[3])∧(java.lang.Object(ARRAY(i4[16], a51946data[16])) →* java.lang.Object(ARRAY(i4[3], a51946data[3]))))


(17) -> (18), if ((java.lang.Object(java.lang.String(i9214[17])) →* java.lang.Object(java.lang.String(i9214[18])))∧(i7399[17] →* i7399[18])∧(java.lang.Object(ARRAY(i4[17], a51946data[17])) →* java.lang.Object(ARRAY(i4[18], a51946data[18])))∧(i7309[17] →* i7309[18]))


(18) -> (19), if ((java.lang.Object(ARRAY(i4[18], a51946data[18])) →* java.lang.Object(ARRAY(i4[19], a51946data[19])))∧(i9214[18] <= 0 && i7309[18] > 0 && i7309[18] < i4[18] && i7399[18] > 0 && i7309[18] + 1 > 0 →* TRUE)∧(i7309[18] →* i7309[19])∧(i7399[18] →* i7399[19])∧(java.lang.Object(java.lang.String(i9214[18])) →* java.lang.Object(java.lang.String(i9214[19]))))


(19) -> (10), if ((i7309[19] + 1 →* i8081[10])∧(java.lang.Object(ARRAY(i4[19], a51946data[19])) →* java.lang.Object(ARRAY(i4[10], a51946data[10])))∧(i7399[19] →* i7399[10]))



The set Q consists of the following terms:
Load25971(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load25971ARR17(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load25971ARR17(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Inc33515(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load25971ARR18(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load25971ARR18(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Load25971ARR19(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load25971ARR19(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
JMP33402(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load25971ARR20(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load25971ARR20(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Load25971ARR21(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load25971ARR21(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Load25971ARR24(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load25971ARR24(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))

(71) ItpfGraphProof (EQUIVALENT transformation)

Applied rule ItpfICap [ICap]

(72) Obligation:

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


The following domains are used:

Boolean, Integer


R is empty.

The integer pair graph contains the following rules and edges:
(0): LOAD25971(java.lang.Object(ARRAY(i4[0], a51946data[0])), i7309[0], i7399[0]) → LOAD25971ARR17(java.lang.Object(ARRAY(i4[0], a51946data[0])), i7309[0], i7399[0], java.lang.Object(java.lang.String(i9213[0])))
(1): LOAD25971ARR17(java.lang.Object(ARRAY(i4[1], a51946data[1])), i7309[1], i7399[1], java.lang.Object(java.lang.String(i9213[1]))) → COND_LOAD25971ARR17(i9213[1] > 0 && i7309[1] > 0 && i7309[1] < i4[1] && i7399[1] > 0 && i7309[1] + 1 > 0, java.lang.Object(ARRAY(i4[1], a51946data[1])), i7309[1], i7399[1], java.lang.Object(java.lang.String(i9213[1])))
(2): COND_LOAD25971ARR17(TRUE, java.lang.Object(ARRAY(i4[2], a51946data[2])), i7309[2], i7399[2], java.lang.Object(java.lang.String(i9213[2]))) → JMP33402'(java.lang.Object(ARRAY(i4[2], a51946data[2])), i7309[2] + 1, i7399[2])
(3): INC33515(java.lang.Object(ARRAY(i4[3], a51946data[3])), i8081[3], i7399[3]) → LOAD25971(java.lang.Object(ARRAY(i4[3], a51946data[3])), i8081[3], i7399[3] + -1)
(4): LOAD25971(java.lang.Object(ARRAY(i4[4], a51946data[4])), i7309[4], i7399[4]) → LOAD25971ARR18(java.lang.Object(ARRAY(i4[4], a51946data[4])), i7309[4], i7399[4], java.lang.Object(java.lang.String(i9214[4])))
(5): LOAD25971ARR18(java.lang.Object(ARRAY(i4[5], a51946data[5])), i7309[5], i7399[5], java.lang.Object(java.lang.String(i9214[5]))) → COND_LOAD25971ARR18(i9214[5] <= 0 && i7309[5] > 0 && i7309[5] < i4[5] && i7399[5] > 0 && i7309[5] + 1 > 0, java.lang.Object(ARRAY(i4[5], a51946data[5])), i7309[5], i7399[5], java.lang.Object(java.lang.String(i9214[5])))
(6): COND_LOAD25971ARR18(TRUE, java.lang.Object(ARRAY(i4[6], a51946data[6])), i7309[6], i7399[6], java.lang.Object(java.lang.String(i9214[6]))) → LOAD25971(java.lang.Object(ARRAY(i4[6], a51946data[6])), i7309[6] + 1, i7399[6] + -1)
(7): LOAD25971(java.lang.Object(ARRAY(i4[7], a51946data[7])), i7309[7], i7399[7]) → LOAD25971ARR19(java.lang.Object(ARRAY(i4[7], a51946data[7])), i7309[7], i7399[7], java.lang.Object(java.lang.String(i9213[7])))
(8): LOAD25971ARR19(java.lang.Object(ARRAY(i4[8], a51946data[8])), i7309[8], i7399[8], java.lang.Object(java.lang.String(i9213[8]))) → COND_LOAD25971ARR19(i9213[8] > 0 && i7309[8] > 0 && i7309[8] < i4[8] && i7399[8] > 0 && i7309[8] + 1 > 0, java.lang.Object(ARRAY(i4[8], a51946data[8])), i7309[8], i7399[8], java.lang.Object(java.lang.String(i9213[8])))
(9): COND_LOAD25971ARR19(TRUE, java.lang.Object(ARRAY(i4[9], a51946data[9])), i7309[9], i7399[9], java.lang.Object(java.lang.String(i9213[9]))) → LOAD25971(java.lang.Object(ARRAY(i4[9], a51946data[9])), i7309[9] + 1, i7399[9] + -1)
(10): JMP33402'(java.lang.Object(ARRAY(i4[10], a51946data[10])), i8081[10], i7399[10]) → INC33515(java.lang.Object(ARRAY(i4[10], a51946data[10])), i8081[10], i7399[10])
(11): LOAD25971(java.lang.Object(ARRAY(i4[11], a51946data[11])), i7309[11], i7399[11]) → LOAD25971ARR20(java.lang.Object(ARRAY(i4[11], a51946data[11])), i7309[11], i7399[11], java.lang.Object(java.lang.String(i9213[11])))
(12): LOAD25971ARR20(java.lang.Object(ARRAY(i4[12], a51946data[12])), i7309[12], i7399[12], java.lang.Object(java.lang.String(i9213[12]))) → COND_LOAD25971ARR20(i9213[12] > 0 && i7309[12] > 0 && i7309[12] < i4[12] && i7399[12] > 0 && i7309[12] + 1 > 0, java.lang.Object(ARRAY(i4[12], a51946data[12])), i7309[12], i7399[12], java.lang.Object(java.lang.String(i9213[12])))
(13): COND_LOAD25971ARR20(TRUE, java.lang.Object(ARRAY(i4[13], a51946data[13])), i7309[13], i7399[13], java.lang.Object(java.lang.String(i9213[13]))) → INC33515(java.lang.Object(ARRAY(i4[13], a51946data[13])), i7309[13] + 1, i7399[13])
(14): LOAD25971(java.lang.Object(ARRAY(i4[14], a51946data[14])), i7309[14], i7399[14]) → LOAD25971ARR21(java.lang.Object(ARRAY(i4[14], a51946data[14])), i7309[14], i7399[14], java.lang.Object(java.lang.String(i9214[14])))
(15): LOAD25971ARR21(java.lang.Object(ARRAY(i4[15], a51946data[15])), i7309[15], i7399[15], java.lang.Object(java.lang.String(i9214[15]))) → COND_LOAD25971ARR21(i9214[15] <= 0 && i7309[15] > 0 && i7309[15] < i4[15] && i7399[15] > 0 && i7309[15] + 1 > 0, java.lang.Object(ARRAY(i4[15], a51946data[15])), i7309[15], i7399[15], java.lang.Object(java.lang.String(i9214[15])))
(16): COND_LOAD25971ARR21(TRUE, java.lang.Object(ARRAY(i4[16], a51946data[16])), i7309[16], i7399[16], java.lang.Object(java.lang.String(i9214[16]))) → INC33515(java.lang.Object(ARRAY(i4[16], a51946data[16])), i7309[16] + 1, i7399[16])
(17): LOAD25971(java.lang.Object(ARRAY(i4[17], a51946data[17])), i7309[17], i7399[17]) → LOAD25971ARR24(java.lang.Object(ARRAY(i4[17], a51946data[17])), i7309[17], i7399[17], java.lang.Object(java.lang.String(i9214[17])))
(18): LOAD25971ARR24(java.lang.Object(ARRAY(i4[18], a51946data[18])), i7309[18], i7399[18], java.lang.Object(java.lang.String(i9214[18]))) → COND_LOAD25971ARR24(i9214[18] <= 0 && i7309[18] > 0 && i7309[18] < i4[18] && i7399[18] > 0 && i7309[18] + 1 > 0, java.lang.Object(ARRAY(i4[18], a51946data[18])), i7309[18], i7399[18], java.lang.Object(java.lang.String(i9214[18])))
(19): COND_LOAD25971ARR24(TRUE, java.lang.Object(ARRAY(i4[19], a51946data[19])), i7309[19], i7399[19], java.lang.Object(java.lang.String(i9214[19]))) → JMP33402'(java.lang.Object(ARRAY(i4[19], a51946data[19])), i7309[19] + 1, i7399[19])

(0) -> (1), if ((i7399[0] →* i7399[1])∧((i4[0] →* i4[1])∧(a51946data[0] →* a51946data[1]))∧((i9213[0] →* i9213[1]))∧(i7309[0] →* i7309[1]))


(1) -> (2), if (((i4[1] →* i4[2])∧(a51946data[1] →* a51946data[2]))∧(i9213[1] > 0 && i7309[1] > 0 && i7309[1] < i4[1] && i7399[1] > 0 && i7309[1] + 1 > 0 →* TRUE)∧(i7399[1] →* i7399[2])∧(i7309[1] →* i7309[2])∧((i9213[1] →* i9213[2])))


(2) -> (10), if (((i4[2] →* i4[10])∧(a51946data[2] →* a51946data[10]))∧(i7399[2] →* i7399[10])∧(i7309[2] + 1 →* i8081[10]))


(3) -> (0), if ((i7399[3] + -1 →* i7399[0])∧(i8081[3] →* i7309[0])∧((i4[3] →* i4[0])∧(a51946data[3] →* a51946data[0])))


(3) -> (4), if ((i7399[3] + -1 →* i7399[4])∧(i8081[3] →* i7309[4])∧((i4[3] →* i4[4])∧(a51946data[3] →* a51946data[4])))


(3) -> (7), if ((i7399[3] + -1 →* i7399[7])∧(i8081[3] →* i7309[7])∧((i4[3] →* i4[7])∧(a51946data[3] →* a51946data[7])))


(3) -> (11), if ((i7399[3] + -1 →* i7399[11])∧(i8081[3] →* i7309[11])∧((i4[3] →* i4[11])∧(a51946data[3] →* a51946data[11])))


(3) -> (14), if ((i7399[3] + -1 →* i7399[14])∧(i8081[3] →* i7309[14])∧((i4[3] →* i4[14])∧(a51946data[3] →* a51946data[14])))


(3) -> (17), if (((i4[3] →* i4[17])∧(a51946data[3] →* a51946data[17]))∧(i7399[3] + -1 →* i7399[17])∧(i8081[3] →* i7309[17]))


(4) -> (5), if ((i7309[4] →* i7309[5])∧((i9214[4] →* i9214[5]))∧(i7399[4] →* i7399[5])∧((i4[4] →* i4[5])∧(a51946data[4] →* a51946data[5])))


(5) -> (6), if ((i7309[5] →* i7309[6])∧((i4[5] →* i4[6])∧(a51946data[5] →* a51946data[6]))∧(i7399[5] →* i7399[6])∧(i9214[5] <= 0 && i7309[5] > 0 && i7309[5] < i4[5] && i7399[5] > 0 && i7309[5] + 1 > 0 →* TRUE)∧((i9214[5] →* i9214[6])))


(6) -> (0), if ((i7399[6] + -1 →* i7399[0])∧(i7309[6] + 1 →* i7309[0])∧((i4[6] →* i4[0])∧(a51946data[6] →* a51946data[0])))


(6) -> (4), if ((i7399[6] + -1 →* i7399[4])∧((i4[6] →* i4[4])∧(a51946data[6] →* a51946data[4]))∧(i7309[6] + 1 →* i7309[4]))


(6) -> (7), if ((i7399[6] + -1 →* i7399[7])∧(i7309[6] + 1 →* i7309[7])∧((i4[6] →* i4[7])∧(a51946data[6] →* a51946data[7])))


(6) -> (11), if ((i7399[6] + -1 →* i7399[11])∧(i7309[6] + 1 →* i7309[11])∧((i4[6] →* i4[11])∧(a51946data[6] →* a51946data[11])))


(6) -> (14), if ((i7399[6] + -1 →* i7399[14])∧((i4[6] →* i4[14])∧(a51946data[6] →* a51946data[14]))∧(i7309[6] + 1 →* i7309[14]))


(6) -> (17), if (((i4[6] →* i4[17])∧(a51946data[6] →* a51946data[17]))∧(i7309[6] + 1 →* i7309[17])∧(i7399[6] + -1 →* i7399[17]))


(7) -> (8), if (((i9213[7] →* i9213[8]))∧(i7309[7] →* i7309[8])∧(i7399[7] →* i7399[8])∧((i4[7] →* i4[8])∧(a51946data[7] →* a51946data[8])))


(8) -> (9), if ((i7309[8] →* i7309[9])∧(i9213[8] > 0 && i7309[8] > 0 && i7309[8] < i4[8] && i7399[8] > 0 && i7309[8] + 1 > 0 →* TRUE)∧((i9213[8] →* i9213[9]))∧(i7399[8] →* i7399[9])∧((i4[8] →* i4[9])∧(a51946data[8] →* a51946data[9])))


(9) -> (0), if (((i4[9] →* i4[0])∧(a51946data[9] →* a51946data[0]))∧(i7399[9] + -1 →* i7399[0])∧(i7309[9] + 1 →* i7309[0]))


(9) -> (4), if ((i7309[9] + 1 →* i7309[4])∧((i4[9] →* i4[4])∧(a51946data[9] →* a51946data[4]))∧(i7399[9] + -1 →* i7399[4]))


(9) -> (7), if (((i4[9] →* i4[7])∧(a51946data[9] →* a51946data[7]))∧(i7399[9] + -1 →* i7399[7])∧(i7309[9] + 1 →* i7309[7]))


(9) -> (11), if ((i7399[9] + -1 →* i7399[11])∧((i4[9] →* i4[11])∧(a51946data[9] →* a51946data[11]))∧(i7309[9] + 1 →* i7309[11]))


(9) -> (14), if (((i4[9] →* i4[14])∧(a51946data[9] →* a51946data[14]))∧(i7399[9] + -1 →* i7399[14])∧(i7309[9] + 1 →* i7309[14]))


(9) -> (17), if ((i7309[9] + 1 →* i7309[17])∧(i7399[9] + -1 →* i7399[17])∧((i4[9] →* i4[17])∧(a51946data[9] →* a51946data[17])))


(10) -> (3), if ((i8081[10] →* i8081[3])∧((i4[10] →* i4[3])∧(a51946data[10] →* a51946data[3]))∧(i7399[10] →* i7399[3]))


(11) -> (12), if (((i4[11] →* i4[12])∧(a51946data[11] →* a51946data[12]))∧(i7399[11] →* i7399[12])∧((i9213[11] →* i9213[12]))∧(i7309[11] →* i7309[12]))


(12) -> (13), if (((i9213[12] →* i9213[13]))∧(i9213[12] > 0 && i7309[12] > 0 && i7309[12] < i4[12] && i7399[12] > 0 && i7309[12] + 1 > 0 →* TRUE)∧(i7309[12] →* i7309[13])∧((i4[12] →* i4[13])∧(a51946data[12] →* a51946data[13]))∧(i7399[12] →* i7399[13]))


(13) -> (3), if ((i7309[13] + 1 →* i8081[3])∧((i4[13] →* i4[3])∧(a51946data[13] →* a51946data[3]))∧(i7399[13] →* i7399[3]))


(14) -> (15), if ((i7309[14] →* i7309[15])∧((i9214[14] →* i9214[15]))∧((i4[14] →* i4[15])∧(a51946data[14] →* a51946data[15]))∧(i7399[14] →* i7399[15]))


(15) -> (16), if ((i7399[15] →* i7399[16])∧((i9214[15] →* i9214[16]))∧((i4[15] →* i4[16])∧(a51946data[15] →* a51946data[16]))∧(i9214[15] <= 0 && i7309[15] > 0 && i7309[15] < i4[15] && i7399[15] > 0 && i7309[15] + 1 > 0 →* TRUE)∧(i7309[15] →* i7309[16]))


(16) -> (3), if ((i7399[16] →* i7399[3])∧(i7309[16] + 1 →* i8081[3])∧((i4[16] →* i4[3])∧(a51946data[16] →* a51946data[3])))


(17) -> (18), if (((i9214[17] →* i9214[18]))∧(i7399[17] →* i7399[18])∧((i4[17] →* i4[18])∧(a51946data[17] →* a51946data[18]))∧(i7309[17] →* i7309[18]))


(18) -> (19), if (((i4[18] →* i4[19])∧(a51946data[18] →* a51946data[19]))∧(i9214[18] <= 0 && i7309[18] > 0 && i7309[18] < i4[18] && i7399[18] > 0 && i7309[18] + 1 > 0 →* TRUE)∧(i7309[18] →* i7309[19])∧(i7399[18] →* i7399[19])∧((i9214[18] →* i9214[19])))


(19) -> (10), if ((i7309[19] + 1 →* i8081[10])∧((i4[19] →* i4[10])∧(a51946data[19] →* a51946data[10]))∧(i7399[19] →* i7399[10]))



The set Q consists of the following terms:
Load25971(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load25971ARR17(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load25971ARR17(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Inc33515(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load25971ARR18(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load25971ARR18(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Load25971ARR19(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load25971ARR19(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
JMP33402(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load25971ARR20(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load25971ARR20(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Load25971ARR21(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load25971ARR21(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Load25971ARR24(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load25971ARR24(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))

(73) IDPNonInfProof (SOUND transformation)

The constraints were generated the following way:
The DP Problem is simplified using the Induction Calculus [NONINF] with the following steps:
Note that final constraints are written in bold face.


For Pair LOAD25971(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399) → LOAD25971ARR17(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9213))) the following chains were created:
  • We consider the chain LOAD25971(java.lang.Object(ARRAY(i4[0], a51946data[0])), i7309[0], i7399[0]) → LOAD25971ARR17(java.lang.Object(ARRAY(i4[0], a51946data[0])), i7309[0], i7399[0], java.lang.Object(java.lang.String(i9213[0]))) which results in the following constraint:

    (1)    (LOAD25971(java.lang.Object(ARRAY(i4[0], a51946data[0])), i7309[0], i7399[0])≥NonInfC∧LOAD25971(java.lang.Object(ARRAY(i4[0], a51946data[0])), i7309[0], i7399[0])≥LOAD25971ARR17(java.lang.Object(ARRAY(i4[0], a51946data[0])), i7309[0], i7399[0], java.lang.Object(java.lang.String(i9213[0])))∧(UIncreasing(LOAD25971ARR17(java.lang.Object(ARRAY(i4[0], a51946data[0])), i7309[0], i7399[0], java.lang.Object(java.lang.String(i9213[0])))), ≥))



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

    (2)    ((UIncreasing(LOAD25971ARR17(java.lang.Object(ARRAY(i4[0], a51946data[0])), i7309[0], i7399[0], java.lang.Object(java.lang.String(i9213[0])))), ≥)∧[(-1)bso_35] ≥ 0)



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

    (3)    ((UIncreasing(LOAD25971ARR17(java.lang.Object(ARRAY(i4[0], a51946data[0])), i7309[0], i7399[0], java.lang.Object(java.lang.String(i9213[0])))), ≥)∧[(-1)bso_35] ≥ 0)



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

    (4)    ((UIncreasing(LOAD25971ARR17(java.lang.Object(ARRAY(i4[0], a51946data[0])), i7309[0], i7399[0], java.lang.Object(java.lang.String(i9213[0])))), ≥)∧[(-1)bso_35] ≥ 0)



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

    (5)    ((UIncreasing(LOAD25971ARR17(java.lang.Object(ARRAY(i4[0], a51946data[0])), i7309[0], i7399[0], java.lang.Object(java.lang.String(i9213[0])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_35] ≥ 0)







For Pair LOAD25971ARR17(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9213))) → COND_LOAD25971ARR17(&&(&&(&&(&&(>(i9213, 0), >(i7309, 0)), <(i7309, i4)), >(i7399, 0)), >(+(i7309, 1), 0)), java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9213))) the following chains were created:
  • We consider the chain LOAD25971ARR17(java.lang.Object(ARRAY(i4[1], a51946data[1])), i7309[1], i7399[1], java.lang.Object(java.lang.String(i9213[1]))) → COND_LOAD25971ARR17(&&(&&(&&(&&(>(i9213[1], 0), >(i7309[1], 0)), <(i7309[1], i4[1])), >(i7399[1], 0)), >(+(i7309[1], 1), 0)), java.lang.Object(ARRAY(i4[1], a51946data[1])), i7309[1], i7399[1], java.lang.Object(java.lang.String(i9213[1]))), COND_LOAD25971ARR17(TRUE, java.lang.Object(ARRAY(i4[2], a51946data[2])), i7309[2], i7399[2], java.lang.Object(java.lang.String(i9213[2]))) → JMP33402'(java.lang.Object(ARRAY(i4[2], a51946data[2])), +(i7309[2], 1), i7399[2]) which results in the following constraint:

    (6)    (i4[1]=i4[2]∧a51946data[1]=a51946data[2]∧&&(&&(&&(&&(>(i9213[1], 0), >(i7309[1], 0)), <(i7309[1], i4[1])), >(i7399[1], 0)), >(+(i7309[1], 1), 0))=TRUE∧i7399[1]=i7399[2]∧i7309[1]=i7309[2]∧i9213[1]=i9213[2] ⇒ LOAD25971ARR17(java.lang.Object(ARRAY(i4[1], a51946data[1])), i7309[1], i7399[1], java.lang.Object(java.lang.String(i9213[1])))≥NonInfC∧LOAD25971ARR17(java.lang.Object(ARRAY(i4[1], a51946data[1])), i7309[1], i7399[1], java.lang.Object(java.lang.String(i9213[1])))≥COND_LOAD25971ARR17(&&(&&(&&(&&(>(i9213[1], 0), >(i7309[1], 0)), <(i7309[1], i4[1])), >(i7399[1], 0)), >(+(i7309[1], 1), 0)), java.lang.Object(ARRAY(i4[1], a51946data[1])), i7309[1], i7399[1], java.lang.Object(java.lang.String(i9213[1])))∧(UIncreasing(COND_LOAD25971ARR17(&&(&&(&&(&&(>(i9213[1], 0), >(i7309[1], 0)), <(i7309[1], i4[1])), >(i7399[1], 0)), >(+(i7309[1], 1), 0)), java.lang.Object(ARRAY(i4[1], a51946data[1])), i7309[1], i7399[1], java.lang.Object(java.lang.String(i9213[1])))), ≥))



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

    (7)    (>(+(i7309[1], 1), 0)=TRUE∧>(i7399[1], 0)=TRUE∧<(i7309[1], i4[1])=TRUE∧>(i9213[1], 0)=TRUE∧>(i7309[1], 0)=TRUE ⇒ LOAD25971ARR17(java.lang.Object(ARRAY(i4[1], a51946data[1])), i7309[1], i7399[1], java.lang.Object(java.lang.String(i9213[1])))≥NonInfC∧LOAD25971ARR17(java.lang.Object(ARRAY(i4[1], a51946data[1])), i7309[1], i7399[1], java.lang.Object(java.lang.String(i9213[1])))≥COND_LOAD25971ARR17(&&(&&(&&(&&(>(i9213[1], 0), >(i7309[1], 0)), <(i7309[1], i4[1])), >(i7399[1], 0)), >(+(i7309[1], 1), 0)), java.lang.Object(ARRAY(i4[1], a51946data[1])), i7309[1], i7399[1], java.lang.Object(java.lang.String(i9213[1])))∧(UIncreasing(COND_LOAD25971ARR17(&&(&&(&&(&&(>(i9213[1], 0), >(i7309[1], 0)), <(i7309[1], i4[1])), >(i7399[1], 0)), >(+(i7309[1], 1), 0)), java.lang.Object(ARRAY(i4[1], a51946data[1])), i7309[1], i7399[1], java.lang.Object(java.lang.String(i9213[1])))), ≥))



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

    (8)    (i7309[1] ≥ 0∧i7399[1] + [-1] ≥ 0∧i4[1] + [-1] + [-1]i7309[1] ≥ 0∧i9213[1] + [-1] ≥ 0∧i7309[1] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD25971ARR17(&&(&&(&&(&&(>(i9213[1], 0), >(i7309[1], 0)), <(i7309[1], i4[1])), >(i7399[1], 0)), >(+(i7309[1], 1), 0)), java.lang.Object(ARRAY(i4[1], a51946data[1])), i7309[1], i7399[1], java.lang.Object(java.lang.String(i9213[1])))), ≥)∧[(-3)bni_36 + (-1)Bound*bni_36] + [bni_36]i7399[1] + [bni_36]i4[1] + [(-1)bni_36]i7309[1] ≥ 0∧[(-1)bso_37] ≥ 0)



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

    (9)    (i7309[1] ≥ 0∧i7399[1] + [-1] ≥ 0∧i4[1] + [-1] + [-1]i7309[1] ≥ 0∧i9213[1] + [-1] ≥ 0∧i7309[1] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD25971ARR17(&&(&&(&&(&&(>(i9213[1], 0), >(i7309[1], 0)), <(i7309[1], i4[1])), >(i7399[1], 0)), >(+(i7309[1], 1), 0)), java.lang.Object(ARRAY(i4[1], a51946data[1])), i7309[1], i7399[1], java.lang.Object(java.lang.String(i9213[1])))), ≥)∧[(-3)bni_36 + (-1)Bound*bni_36] + [bni_36]i7399[1] + [bni_36]i4[1] + [(-1)bni_36]i7309[1] ≥ 0∧[(-1)bso_37] ≥ 0)



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

    (10)    (i7309[1] ≥ 0∧i7399[1] + [-1] ≥ 0∧i4[1] + [-1] + [-1]i7309[1] ≥ 0∧i9213[1] + [-1] ≥ 0∧i7309[1] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD25971ARR17(&&(&&(&&(&&(>(i9213[1], 0), >(i7309[1], 0)), <(i7309[1], i4[1])), >(i7399[1], 0)), >(+(i7309[1], 1), 0)), java.lang.Object(ARRAY(i4[1], a51946data[1])), i7309[1], i7399[1], java.lang.Object(java.lang.String(i9213[1])))), ≥)∧[(-3)bni_36 + (-1)Bound*bni_36] + [bni_36]i7399[1] + [bni_36]i4[1] + [(-1)bni_36]i7309[1] ≥ 0∧[(-1)bso_37] ≥ 0)



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

    (11)    (i7309[1] ≥ 0∧i7399[1] + [-1] ≥ 0∧i4[1] + [-1] + [-1]i7309[1] ≥ 0∧i9213[1] + [-1] ≥ 0∧i7309[1] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD25971ARR17(&&(&&(&&(&&(>(i9213[1], 0), >(i7309[1], 0)), <(i7309[1], i4[1])), >(i7399[1], 0)), >(+(i7309[1], 1), 0)), java.lang.Object(ARRAY(i4[1], a51946data[1])), i7309[1], i7399[1], java.lang.Object(java.lang.String(i9213[1])))), ≥)∧0 = 0∧[(-3)bni_36 + (-1)Bound*bni_36] + [bni_36]i7399[1] + [bni_36]i4[1] + [(-1)bni_36]i7309[1] ≥ 0∧0 = 0∧[(-1)bso_37] ≥ 0)



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

    (12)    ([1] + i7309[1] ≥ 0∧i7399[1] + [-1] ≥ 0∧i4[1] + [-2] + [-1]i7309[1] ≥ 0∧i9213[1] + [-1] ≥ 0∧i7309[1] ≥ 0 ⇒ (UIncreasing(COND_LOAD25971ARR17(&&(&&(&&(&&(>(i9213[1], 0), >(i7309[1], 0)), <(i7309[1], i4[1])), >(i7399[1], 0)), >(+(i7309[1], 1), 0)), java.lang.Object(ARRAY(i4[1], a51946data[1])), i7309[1], i7399[1], java.lang.Object(java.lang.String(i9213[1])))), ≥)∧0 = 0∧[(-4)bni_36 + (-1)Bound*bni_36] + [bni_36]i7399[1] + [bni_36]i4[1] + [(-1)bni_36]i7309[1] ≥ 0∧0 = 0∧[(-1)bso_37] ≥ 0)



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

    (13)    ([1] + i7309[1] ≥ 0∧i7399[1] ≥ 0∧i4[1] + [-2] + [-1]i7309[1] ≥ 0∧i9213[1] + [-1] ≥ 0∧i7309[1] ≥ 0 ⇒ (UIncreasing(COND_LOAD25971ARR17(&&(&&(&&(&&(>(i9213[1], 0), >(i7309[1], 0)), <(i7309[1], i4[1])), >(i7399[1], 0)), >(+(i7309[1], 1), 0)), java.lang.Object(ARRAY(i4[1], a51946data[1])), i7309[1], i7399[1], java.lang.Object(java.lang.String(i9213[1])))), ≥)∧0 = 0∧[(-3)bni_36 + (-1)Bound*bni_36] + [bni_36]i7399[1] + [bni_36]i4[1] + [(-1)bni_36]i7309[1] ≥ 0∧0 = 0∧[(-1)bso_37] ≥ 0)



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

    (14)    ([1] + i7309[1] ≥ 0∧i7399[1] ≥ 0∧i4[1] ≥ 0∧i9213[1] + [-1] ≥ 0∧i7309[1] ≥ 0 ⇒ (UIncreasing(COND_LOAD25971ARR17(&&(&&(&&(&&(>(i9213[1], 0), >(i7309[1], 0)), <(i7309[1], i4[1])), >(i7399[1], 0)), >(+(i7309[1], 1), 0)), java.lang.Object(ARRAY(i4[1], a51946data[1])), i7309[1], i7399[1], java.lang.Object(java.lang.String(i9213[1])))), ≥)∧0 = 0∧[(-1)Bound*bni_36 + (-1)bni_36] + [bni_36]i7399[1] + [bni_36]i4[1] ≥ 0∧0 = 0∧[(-1)bso_37] ≥ 0)



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

    (15)    ([1] + i7309[1] ≥ 0∧i7399[1] ≥ 0∧i4[1] ≥ 0∧i9213[1] ≥ 0∧i7309[1] ≥ 0 ⇒ (UIncreasing(COND_LOAD25971ARR17(&&(&&(&&(&&(>(i9213[1], 0), >(i7309[1], 0)), <(i7309[1], i4[1])), >(i7399[1], 0)), >(+(i7309[1], 1), 0)), java.lang.Object(ARRAY(i4[1], a51946data[1])), i7309[1], i7399[1], java.lang.Object(java.lang.String(i9213[1])))), ≥)∧0 = 0∧[(-1)Bound*bni_36 + (-1)bni_36] + [bni_36]i7399[1] + [bni_36]i4[1] ≥ 0∧0 = 0∧[(-1)bso_37] ≥ 0)







For Pair COND_LOAD25971ARR17(TRUE, java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9213))) → JMP33402'(java.lang.Object(ARRAY(i4, a51946data)), +(i7309, 1), i7399) the following chains were created:
  • We consider the chain COND_LOAD25971ARR17(TRUE, java.lang.Object(ARRAY(i4[2], a51946data[2])), i7309[2], i7399[2], java.lang.Object(java.lang.String(i9213[2]))) → JMP33402'(java.lang.Object(ARRAY(i4[2], a51946data[2])), +(i7309[2], 1), i7399[2]) which results in the following constraint:

    (16)    (COND_LOAD25971ARR17(TRUE, java.lang.Object(ARRAY(i4[2], a51946data[2])), i7309[2], i7399[2], java.lang.Object(java.lang.String(i9213[2])))≥NonInfC∧COND_LOAD25971ARR17(TRUE, java.lang.Object(ARRAY(i4[2], a51946data[2])), i7309[2], i7399[2], java.lang.Object(java.lang.String(i9213[2])))≥JMP33402'(java.lang.Object(ARRAY(i4[2], a51946data[2])), +(i7309[2], 1), i7399[2])∧(UIncreasing(JMP33402'(java.lang.Object(ARRAY(i4[2], a51946data[2])), +(i7309[2], 1), i7399[2])), ≥))



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

    (17)    ((UIncreasing(JMP33402'(java.lang.Object(ARRAY(i4[2], a51946data[2])), +(i7309[2], 1), i7399[2])), ≥)∧[1 + (-1)bso_39] ≥ 0)



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

    (18)    ((UIncreasing(JMP33402'(java.lang.Object(ARRAY(i4[2], a51946data[2])), +(i7309[2], 1), i7399[2])), ≥)∧[1 + (-1)bso_39] ≥ 0)



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

    (19)    ((UIncreasing(JMP33402'(java.lang.Object(ARRAY(i4[2], a51946data[2])), +(i7309[2], 1), i7399[2])), ≥)∧[1 + (-1)bso_39] ≥ 0)



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

    (20)    ((UIncreasing(JMP33402'(java.lang.Object(ARRAY(i4[2], a51946data[2])), +(i7309[2], 1), i7399[2])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_39] ≥ 0)







For Pair INC33515(java.lang.Object(ARRAY(i4, a51946data)), i8081, i7399) → LOAD25971(java.lang.Object(ARRAY(i4, a51946data)), i8081, +(i7399, -1)) the following chains were created:
  • We consider the chain INC33515(java.lang.Object(ARRAY(i4[3], a51946data[3])), i8081[3], i7399[3]) → LOAD25971(java.lang.Object(ARRAY(i4[3], a51946data[3])), i8081[3], +(i7399[3], -1)) which results in the following constraint:

    (21)    (INC33515(java.lang.Object(ARRAY(i4[3], a51946data[3])), i8081[3], i7399[3])≥NonInfC∧INC33515(java.lang.Object(ARRAY(i4[3], a51946data[3])), i8081[3], i7399[3])≥LOAD25971(java.lang.Object(ARRAY(i4[3], a51946data[3])), i8081[3], +(i7399[3], -1))∧(UIncreasing(LOAD25971(java.lang.Object(ARRAY(i4[3], a51946data[3])), i8081[3], +(i7399[3], -1))), ≥))



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

    (22)    ((UIncreasing(LOAD25971(java.lang.Object(ARRAY(i4[3], a51946data[3])), i8081[3], +(i7399[3], -1))), ≥)∧[1 + (-1)bso_41] ≥ 0)



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

    (23)    ((UIncreasing(LOAD25971(java.lang.Object(ARRAY(i4[3], a51946data[3])), i8081[3], +(i7399[3], -1))), ≥)∧[1 + (-1)bso_41] ≥ 0)



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

    (24)    ((UIncreasing(LOAD25971(java.lang.Object(ARRAY(i4[3], a51946data[3])), i8081[3], +(i7399[3], -1))), ≥)∧[1 + (-1)bso_41] ≥ 0)



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

    (25)    ((UIncreasing(LOAD25971(java.lang.Object(ARRAY(i4[3], a51946data[3])), i8081[3], +(i7399[3], -1))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_41] ≥ 0)







For Pair LOAD25971(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399) → LOAD25971ARR18(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9214))) the following chains were created:
  • We consider the chain LOAD25971(java.lang.Object(ARRAY(i4[4], a51946data[4])), i7309[4], i7399[4]) → LOAD25971ARR18(java.lang.Object(ARRAY(i4[4], a51946data[4])), i7309[4], i7399[4], java.lang.Object(java.lang.String(i9214[4]))) which results in the following constraint:

    (26)    (LOAD25971(java.lang.Object(ARRAY(i4[4], a51946data[4])), i7309[4], i7399[4])≥NonInfC∧LOAD25971(java.lang.Object(ARRAY(i4[4], a51946data[4])), i7309[4], i7399[4])≥LOAD25971ARR18(java.lang.Object(ARRAY(i4[4], a51946data[4])), i7309[4], i7399[4], java.lang.Object(java.lang.String(i9214[4])))∧(UIncreasing(LOAD25971ARR18(java.lang.Object(ARRAY(i4[4], a51946data[4])), i7309[4], i7399[4], java.lang.Object(java.lang.String(i9214[4])))), ≥))



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

    (27)    ((UIncreasing(LOAD25971ARR18(java.lang.Object(ARRAY(i4[4], a51946data[4])), i7309[4], i7399[4], java.lang.Object(java.lang.String(i9214[4])))), ≥)∧[(-1)bso_43] ≥ 0)



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

    (28)    ((UIncreasing(LOAD25971ARR18(java.lang.Object(ARRAY(i4[4], a51946data[4])), i7309[4], i7399[4], java.lang.Object(java.lang.String(i9214[4])))), ≥)∧[(-1)bso_43] ≥ 0)



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

    (29)    ((UIncreasing(LOAD25971ARR18(java.lang.Object(ARRAY(i4[4], a51946data[4])), i7309[4], i7399[4], java.lang.Object(java.lang.String(i9214[4])))), ≥)∧[(-1)bso_43] ≥ 0)



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

    (30)    ((UIncreasing(LOAD25971ARR18(java.lang.Object(ARRAY(i4[4], a51946data[4])), i7309[4], i7399[4], java.lang.Object(java.lang.String(i9214[4])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_43] ≥ 0)







For Pair LOAD25971ARR18(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9214))) → COND_LOAD25971ARR18(&&(&&(&&(&&(<=(i9214, 0), >(i7309, 0)), <(i7309, i4)), >(i7399, 0)), >(+(i7309, 1), 0)), java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9214))) the following chains were created:
  • We consider the chain LOAD25971ARR18(java.lang.Object(ARRAY(i4[5], a51946data[5])), i7309[5], i7399[5], java.lang.Object(java.lang.String(i9214[5]))) → COND_LOAD25971ARR18(&&(&&(&&(&&(<=(i9214[5], 0), >(i7309[5], 0)), <(i7309[5], i4[5])), >(i7399[5], 0)), >(+(i7309[5], 1), 0)), java.lang.Object(ARRAY(i4[5], a51946data[5])), i7309[5], i7399[5], java.lang.Object(java.lang.String(i9214[5]))), COND_LOAD25971ARR18(TRUE, java.lang.Object(ARRAY(i4[6], a51946data[6])), i7309[6], i7399[6], java.lang.Object(java.lang.String(i9214[6]))) → LOAD25971(java.lang.Object(ARRAY(i4[6], a51946data[6])), +(i7309[6], 1), +(i7399[6], -1)) which results in the following constraint:

    (31)    (i7309[5]=i7309[6]∧i4[5]=i4[6]∧a51946data[5]=a51946data[6]∧i7399[5]=i7399[6]∧&&(&&(&&(&&(<=(i9214[5], 0), >(i7309[5], 0)), <(i7309[5], i4[5])), >(i7399[5], 0)), >(+(i7309[5], 1), 0))=TRUE∧i9214[5]=i9214[6] ⇒ LOAD25971ARR18(java.lang.Object(ARRAY(i4[5], a51946data[5])), i7309[5], i7399[5], java.lang.Object(java.lang.String(i9214[5])))≥NonInfC∧LOAD25971ARR18(java.lang.Object(ARRAY(i4[5], a51946data[5])), i7309[5], i7399[5], java.lang.Object(java.lang.String(i9214[5])))≥COND_LOAD25971ARR18(&&(&&(&&(&&(<=(i9214[5], 0), >(i7309[5], 0)), <(i7309[5], i4[5])), >(i7399[5], 0)), >(+(i7309[5], 1), 0)), java.lang.Object(ARRAY(i4[5], a51946data[5])), i7309[5], i7399[5], java.lang.Object(java.lang.String(i9214[5])))∧(UIncreasing(COND_LOAD25971ARR18(&&(&&(&&(&&(<=(i9214[5], 0), >(i7309[5], 0)), <(i7309[5], i4[5])), >(i7399[5], 0)), >(+(i7309[5], 1), 0)), java.lang.Object(ARRAY(i4[5], a51946data[5])), i7309[5], i7399[5], java.lang.Object(java.lang.String(i9214[5])))), ≥))



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

    (32)    (>(+(i7309[5], 1), 0)=TRUE∧>(i7399[5], 0)=TRUE∧<(i7309[5], i4[5])=TRUE∧<=(i9214[5], 0)=TRUE∧>(i7309[5], 0)=TRUE ⇒ LOAD25971ARR18(java.lang.Object(ARRAY(i4[5], a51946data[5])), i7309[5], i7399[5], java.lang.Object(java.lang.String(i9214[5])))≥NonInfC∧LOAD25971ARR18(java.lang.Object(ARRAY(i4[5], a51946data[5])), i7309[5], i7399[5], java.lang.Object(java.lang.String(i9214[5])))≥COND_LOAD25971ARR18(&&(&&(&&(&&(<=(i9214[5], 0), >(i7309[5], 0)), <(i7309[5], i4[5])), >(i7399[5], 0)), >(+(i7309[5], 1), 0)), java.lang.Object(ARRAY(i4[5], a51946data[5])), i7309[5], i7399[5], java.lang.Object(java.lang.String(i9214[5])))∧(UIncreasing(COND_LOAD25971ARR18(&&(&&(&&(&&(<=(i9214[5], 0), >(i7309[5], 0)), <(i7309[5], i4[5])), >(i7399[5], 0)), >(+(i7309[5], 1), 0)), java.lang.Object(ARRAY(i4[5], a51946data[5])), i7309[5], i7399[5], java.lang.Object(java.lang.String(i9214[5])))), ≥))



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

    (33)    (i7309[5] ≥ 0∧i7399[5] + [-1] ≥ 0∧i4[5] + [-1] + [-1]i7309[5] ≥ 0∧[-1]i9214[5] ≥ 0∧i7309[5] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD25971ARR18(&&(&&(&&(&&(<=(i9214[5], 0), >(i7309[5], 0)), <(i7309[5], i4[5])), >(i7399[5], 0)), >(+(i7309[5], 1), 0)), java.lang.Object(ARRAY(i4[5], a51946data[5])), i7309[5], i7399[5], java.lang.Object(java.lang.String(i9214[5])))), ≥)∧[(-3)bni_44 + (-1)Bound*bni_44] + [bni_44]i7399[5] + [bni_44]i4[5] + [(-1)bni_44]i7309[5] ≥ 0∧[(-1)bso_45] ≥ 0)



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

    (34)    (i7309[5] ≥ 0∧i7399[5] + [-1] ≥ 0∧i4[5] + [-1] + [-1]i7309[5] ≥ 0∧[-1]i9214[5] ≥ 0∧i7309[5] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD25971ARR18(&&(&&(&&(&&(<=(i9214[5], 0), >(i7309[5], 0)), <(i7309[5], i4[5])), >(i7399[5], 0)), >(+(i7309[5], 1), 0)), java.lang.Object(ARRAY(i4[5], a51946data[5])), i7309[5], i7399[5], java.lang.Object(java.lang.String(i9214[5])))), ≥)∧[(-3)bni_44 + (-1)Bound*bni_44] + [bni_44]i7399[5] + [bni_44]i4[5] + [(-1)bni_44]i7309[5] ≥ 0∧[(-1)bso_45] ≥ 0)



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

    (35)    (i7309[5] ≥ 0∧i7399[5] + [-1] ≥ 0∧i4[5] + [-1] + [-1]i7309[5] ≥ 0∧[-1]i9214[5] ≥ 0∧i7309[5] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD25971ARR18(&&(&&(&&(&&(<=(i9214[5], 0), >(i7309[5], 0)), <(i7309[5], i4[5])), >(i7399[5], 0)), >(+(i7309[5], 1), 0)), java.lang.Object(ARRAY(i4[5], a51946data[5])), i7309[5], i7399[5], java.lang.Object(java.lang.String(i9214[5])))), ≥)∧[(-3)bni_44 + (-1)Bound*bni_44] + [bni_44]i7399[5] + [bni_44]i4[5] + [(-1)bni_44]i7309[5] ≥ 0∧[(-1)bso_45] ≥ 0)



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

    (36)    (i7309[5] ≥ 0∧i7399[5] + [-1] ≥ 0∧i4[5] + [-1] + [-1]i7309[5] ≥ 0∧[-1]i9214[5] ≥ 0∧i7309[5] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD25971ARR18(&&(&&(&&(&&(<=(i9214[5], 0), >(i7309[5], 0)), <(i7309[5], i4[5])), >(i7399[5], 0)), >(+(i7309[5], 1), 0)), java.lang.Object(ARRAY(i4[5], a51946data[5])), i7309[5], i7399[5], java.lang.Object(java.lang.String(i9214[5])))), ≥)∧0 = 0∧[(-3)bni_44 + (-1)Bound*bni_44] + [bni_44]i7399[5] + [bni_44]i4[5] + [(-1)bni_44]i7309[5] ≥ 0∧0 = 0∧[(-1)bso_45] ≥ 0)



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

    (37)    ([1] + i7309[5] ≥ 0∧i7399[5] + [-1] ≥ 0∧i4[5] + [-2] + [-1]i7309[5] ≥ 0∧[-1]i9214[5] ≥ 0∧i7309[5] ≥ 0 ⇒ (UIncreasing(COND_LOAD25971ARR18(&&(&&(&&(&&(<=(i9214[5], 0), >(i7309[5], 0)), <(i7309[5], i4[5])), >(i7399[5], 0)), >(+(i7309[5], 1), 0)), java.lang.Object(ARRAY(i4[5], a51946data[5])), i7309[5], i7399[5], java.lang.Object(java.lang.String(i9214[5])))), ≥)∧0 = 0∧[(-4)bni_44 + (-1)Bound*bni_44] + [bni_44]i7399[5] + [bni_44]i4[5] + [(-1)bni_44]i7309[5] ≥ 0∧0 = 0∧[(-1)bso_45] ≥ 0)



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

    (38)    ([1] + i7309[5] ≥ 0∧i7399[5] ≥ 0∧i4[5] + [-2] + [-1]i7309[5] ≥ 0∧[-1]i9214[5] ≥ 0∧i7309[5] ≥ 0 ⇒ (UIncreasing(COND_LOAD25971ARR18(&&(&&(&&(&&(<=(i9214[5], 0), >(i7309[5], 0)), <(i7309[5], i4[5])), >(i7399[5], 0)), >(+(i7309[5], 1), 0)), java.lang.Object(ARRAY(i4[5], a51946data[5])), i7309[5], i7399[5], java.lang.Object(java.lang.String(i9214[5])))), ≥)∧0 = 0∧[(-3)bni_44 + (-1)Bound*bni_44] + [bni_44]i7399[5] + [bni_44]i4[5] + [(-1)bni_44]i7309[5] ≥ 0∧0 = 0∧[(-1)bso_45] ≥ 0)



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

    (39)    ([1] + i7309[5] ≥ 0∧i7399[5] ≥ 0∧i4[5] ≥ 0∧[-1]i9214[5] ≥ 0∧i7309[5] ≥ 0 ⇒ (UIncreasing(COND_LOAD25971ARR18(&&(&&(&&(&&(<=(i9214[5], 0), >(i7309[5], 0)), <(i7309[5], i4[5])), >(i7399[5], 0)), >(+(i7309[5], 1), 0)), java.lang.Object(ARRAY(i4[5], a51946data[5])), i7309[5], i7399[5], java.lang.Object(java.lang.String(i9214[5])))), ≥)∧0 = 0∧[(-1)Bound*bni_44 + (-1)bni_44] + [bni_44]i7399[5] + [bni_44]i4[5] ≥ 0∧0 = 0∧[(-1)bso_45] ≥ 0)



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

    (40)    ([1] + i7309[5] ≥ 0∧i7399[5] ≥ 0∧i4[5] ≥ 0∧i9214[5] ≥ 0∧i7309[5] ≥ 0 ⇒ (UIncreasing(COND_LOAD25971ARR18(&&(&&(&&(&&(<=(i9214[5], 0), >(i7309[5], 0)), <(i7309[5], i4[5])), >(i7399[5], 0)), >(+(i7309[5], 1), 0)), java.lang.Object(ARRAY(i4[5], a51946data[5])), i7309[5], i7399[5], java.lang.Object(java.lang.String(i9214[5])))), ≥)∧0 = 0∧[(-1)Bound*bni_44 + (-1)bni_44] + [bni_44]i7399[5] + [bni_44]i4[5] ≥ 0∧0 = 0∧[(-1)bso_45] ≥ 0)







For Pair COND_LOAD25971ARR18(TRUE, java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9214))) → LOAD25971(java.lang.Object(ARRAY(i4, a51946data)), +(i7309, 1), +(i7399, -1)) the following chains were created:
  • We consider the chain COND_LOAD25971ARR18(TRUE, java.lang.Object(ARRAY(i4[6], a51946data[6])), i7309[6], i7399[6], java.lang.Object(java.lang.String(i9214[6]))) → LOAD25971(java.lang.Object(ARRAY(i4[6], a51946data[6])), +(i7309[6], 1), +(i7399[6], -1)) which results in the following constraint:

    (41)    (COND_LOAD25971ARR18(TRUE, java.lang.Object(ARRAY(i4[6], a51946data[6])), i7309[6], i7399[6], java.lang.Object(java.lang.String(i9214[6])))≥NonInfC∧COND_LOAD25971ARR18(TRUE, java.lang.Object(ARRAY(i4[6], a51946data[6])), i7309[6], i7399[6], java.lang.Object(java.lang.String(i9214[6])))≥LOAD25971(java.lang.Object(ARRAY(i4[6], a51946data[6])), +(i7309[6], 1), +(i7399[6], -1))∧(UIncreasing(LOAD25971(java.lang.Object(ARRAY(i4[6], a51946data[6])), +(i7309[6], 1), +(i7399[6], -1))), ≥))



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

    (42)    ((UIncreasing(LOAD25971(java.lang.Object(ARRAY(i4[6], a51946data[6])), +(i7309[6], 1), +(i7399[6], -1))), ≥)∧[2 + (-1)bso_47] ≥ 0)



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

    (43)    ((UIncreasing(LOAD25971(java.lang.Object(ARRAY(i4[6], a51946data[6])), +(i7309[6], 1), +(i7399[6], -1))), ≥)∧[2 + (-1)bso_47] ≥ 0)



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

    (44)    ((UIncreasing(LOAD25971(java.lang.Object(ARRAY(i4[6], a51946data[6])), +(i7309[6], 1), +(i7399[6], -1))), ≥)∧[2 + (-1)bso_47] ≥ 0)



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

    (45)    ((UIncreasing(LOAD25971(java.lang.Object(ARRAY(i4[6], a51946data[6])), +(i7309[6], 1), +(i7399[6], -1))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[2 + (-1)bso_47] ≥ 0)







For Pair LOAD25971(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399) → LOAD25971ARR19(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9213))) the following chains were created:
  • We consider the chain LOAD25971(java.lang.Object(ARRAY(i4[7], a51946data[7])), i7309[7], i7399[7]) → LOAD25971ARR19(java.lang.Object(ARRAY(i4[7], a51946data[7])), i7309[7], i7399[7], java.lang.Object(java.lang.String(i9213[7]))) which results in the following constraint:

    (46)    (LOAD25971(java.lang.Object(ARRAY(i4[7], a51946data[7])), i7309[7], i7399[7])≥NonInfC∧LOAD25971(java.lang.Object(ARRAY(i4[7], a51946data[7])), i7309[7], i7399[7])≥LOAD25971ARR19(java.lang.Object(ARRAY(i4[7], a51946data[7])), i7309[7], i7399[7], java.lang.Object(java.lang.String(i9213[7])))∧(UIncreasing(LOAD25971ARR19(java.lang.Object(ARRAY(i4[7], a51946data[7])), i7309[7], i7399[7], java.lang.Object(java.lang.String(i9213[7])))), ≥))



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

    (47)    ((UIncreasing(LOAD25971ARR19(java.lang.Object(ARRAY(i4[7], a51946data[7])), i7309[7], i7399[7], java.lang.Object(java.lang.String(i9213[7])))), ≥)∧[(-1)bso_49] ≥ 0)



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

    (48)    ((UIncreasing(LOAD25971ARR19(java.lang.Object(ARRAY(i4[7], a51946data[7])), i7309[7], i7399[7], java.lang.Object(java.lang.String(i9213[7])))), ≥)∧[(-1)bso_49] ≥ 0)



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

    (49)    ((UIncreasing(LOAD25971ARR19(java.lang.Object(ARRAY(i4[7], a51946data[7])), i7309[7], i7399[7], java.lang.Object(java.lang.String(i9213[7])))), ≥)∧[(-1)bso_49] ≥ 0)



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

    (50)    ((UIncreasing(LOAD25971ARR19(java.lang.Object(ARRAY(i4[7], a51946data[7])), i7309[7], i7399[7], java.lang.Object(java.lang.String(i9213[7])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_49] ≥ 0)







For Pair LOAD25971ARR19(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9213))) → COND_LOAD25971ARR19(&&(&&(&&(&&(>(i9213, 0), >(i7309, 0)), <(i7309, i4)), >(i7399, 0)), >(+(i7309, 1), 0)), java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9213))) the following chains were created:
  • We consider the chain LOAD25971ARR19(java.lang.Object(ARRAY(i4[8], a51946data[8])), i7309[8], i7399[8], java.lang.Object(java.lang.String(i9213[8]))) → COND_LOAD25971ARR19(&&(&&(&&(&&(>(i9213[8], 0), >(i7309[8], 0)), <(i7309[8], i4[8])), >(i7399[8], 0)), >(+(i7309[8], 1), 0)), java.lang.Object(ARRAY(i4[8], a51946data[8])), i7309[8], i7399[8], java.lang.Object(java.lang.String(i9213[8]))), COND_LOAD25971ARR19(TRUE, java.lang.Object(ARRAY(i4[9], a51946data[9])), i7309[9], i7399[9], java.lang.Object(java.lang.String(i9213[9]))) → LOAD25971(java.lang.Object(ARRAY(i4[9], a51946data[9])), +(i7309[9], 1), +(i7399[9], -1)) which results in the following constraint:

    (51)    (i7309[8]=i7309[9]∧&&(&&(&&(&&(>(i9213[8], 0), >(i7309[8], 0)), <(i7309[8], i4[8])), >(i7399[8], 0)), >(+(i7309[8], 1), 0))=TRUE∧i9213[8]=i9213[9]∧i7399[8]=i7399[9]∧i4[8]=i4[9]∧a51946data[8]=a51946data[9] ⇒ LOAD25971ARR19(java.lang.Object(ARRAY(i4[8], a51946data[8])), i7309[8], i7399[8], java.lang.Object(java.lang.String(i9213[8])))≥NonInfC∧LOAD25971ARR19(java.lang.Object(ARRAY(i4[8], a51946data[8])), i7309[8], i7399[8], java.lang.Object(java.lang.String(i9213[8])))≥COND_LOAD25971ARR19(&&(&&(&&(&&(>(i9213[8], 0), >(i7309[8], 0)), <(i7309[8], i4[8])), >(i7399[8], 0)), >(+(i7309[8], 1), 0)), java.lang.Object(ARRAY(i4[8], a51946data[8])), i7309[8], i7399[8], java.lang.Object(java.lang.String(i9213[8])))∧(UIncreasing(COND_LOAD25971ARR19(&&(&&(&&(&&(>(i9213[8], 0), >(i7309[8], 0)), <(i7309[8], i4[8])), >(i7399[8], 0)), >(+(i7309[8], 1), 0)), java.lang.Object(ARRAY(i4[8], a51946data[8])), i7309[8], i7399[8], java.lang.Object(java.lang.String(i9213[8])))), ≥))



    We simplified constraint (51) using rules (IV), (IDP_BOOLEAN) which results in the following new constraint:

    (52)    (>(+(i7309[8], 1), 0)=TRUE∧>(i7399[8], 0)=TRUE∧<(i7309[8], i4[8])=TRUE∧>(i9213[8], 0)=TRUE∧>(i7309[8], 0)=TRUE ⇒ LOAD25971ARR19(java.lang.Object(ARRAY(i4[8], a51946data[8])), i7309[8], i7399[8], java.lang.Object(java.lang.String(i9213[8])))≥NonInfC∧LOAD25971ARR19(java.lang.Object(ARRAY(i4[8], a51946data[8])), i7309[8], i7399[8], java.lang.Object(java.lang.String(i9213[8])))≥COND_LOAD25971ARR19(&&(&&(&&(&&(>(i9213[8], 0), >(i7309[8], 0)), <(i7309[8], i4[8])), >(i7399[8], 0)), >(+(i7309[8], 1), 0)), java.lang.Object(ARRAY(i4[8], a51946data[8])), i7309[8], i7399[8], java.lang.Object(java.lang.String(i9213[8])))∧(UIncreasing(COND_LOAD25971ARR19(&&(&&(&&(&&(>(i9213[8], 0), >(i7309[8], 0)), <(i7309[8], i4[8])), >(i7399[8], 0)), >(+(i7309[8], 1), 0)), java.lang.Object(ARRAY(i4[8], a51946data[8])), i7309[8], i7399[8], java.lang.Object(java.lang.String(i9213[8])))), ≥))



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

    (53)    (i7309[8] ≥ 0∧i7399[8] + [-1] ≥ 0∧i4[8] + [-1] + [-1]i7309[8] ≥ 0∧i9213[8] + [-1] ≥ 0∧i7309[8] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD25971ARR19(&&(&&(&&(&&(>(i9213[8], 0), >(i7309[8], 0)), <(i7309[8], i4[8])), >(i7399[8], 0)), >(+(i7309[8], 1), 0)), java.lang.Object(ARRAY(i4[8], a51946data[8])), i7309[8], i7399[8], java.lang.Object(java.lang.String(i9213[8])))), ≥)∧[(-3)bni_50 + (-1)Bound*bni_50] + [bni_50]i7399[8] + [bni_50]i4[8] + [(-1)bni_50]i7309[8] ≥ 0∧[(-1)bso_51] ≥ 0)



    We simplified constraint (53) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (54)    (i7309[8] ≥ 0∧i7399[8] + [-1] ≥ 0∧i4[8] + [-1] + [-1]i7309[8] ≥ 0∧i9213[8] + [-1] ≥ 0∧i7309[8] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD25971ARR19(&&(&&(&&(&&(>(i9213[8], 0), >(i7309[8], 0)), <(i7309[8], i4[8])), >(i7399[8], 0)), >(+(i7309[8], 1), 0)), java.lang.Object(ARRAY(i4[8], a51946data[8])), i7309[8], i7399[8], java.lang.Object(java.lang.String(i9213[8])))), ≥)∧[(-3)bni_50 + (-1)Bound*bni_50] + [bni_50]i7399[8] + [bni_50]i4[8] + [(-1)bni_50]i7309[8] ≥ 0∧[(-1)bso_51] ≥ 0)



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

    (55)    (i7309[8] ≥ 0∧i7399[8] + [-1] ≥ 0∧i4[8] + [-1] + [-1]i7309[8] ≥ 0∧i9213[8] + [-1] ≥ 0∧i7309[8] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD25971ARR19(&&(&&(&&(&&(>(i9213[8], 0), >(i7309[8], 0)), <(i7309[8], i4[8])), >(i7399[8], 0)), >(+(i7309[8], 1), 0)), java.lang.Object(ARRAY(i4[8], a51946data[8])), i7309[8], i7399[8], java.lang.Object(java.lang.String(i9213[8])))), ≥)∧[(-3)bni_50 + (-1)Bound*bni_50] + [bni_50]i7399[8] + [bni_50]i4[8] + [(-1)bni_50]i7309[8] ≥ 0∧[(-1)bso_51] ≥ 0)



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

    (56)    (i7309[8] ≥ 0∧i7399[8] + [-1] ≥ 0∧i4[8] + [-1] + [-1]i7309[8] ≥ 0∧i9213[8] + [-1] ≥ 0∧i7309[8] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD25971ARR19(&&(&&(&&(&&(>(i9213[8], 0), >(i7309[8], 0)), <(i7309[8], i4[8])), >(i7399[8], 0)), >(+(i7309[8], 1), 0)), java.lang.Object(ARRAY(i4[8], a51946data[8])), i7309[8], i7399[8], java.lang.Object(java.lang.String(i9213[8])))), ≥)∧0 = 0∧[(-3)bni_50 + (-1)Bound*bni_50] + [bni_50]i7399[8] + [bni_50]i4[8] + [(-1)bni_50]i7309[8] ≥ 0∧0 = 0∧[(-1)bso_51] ≥ 0)



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

    (57)    ([1] + i7309[8] ≥ 0∧i7399[8] + [-1] ≥ 0∧i4[8] + [-2] + [-1]i7309[8] ≥ 0∧i9213[8] + [-1] ≥ 0∧i7309[8] ≥ 0 ⇒ (UIncreasing(COND_LOAD25971ARR19(&&(&&(&&(&&(>(i9213[8], 0), >(i7309[8], 0)), <(i7309[8], i4[8])), >(i7399[8], 0)), >(+(i7309[8], 1), 0)), java.lang.Object(ARRAY(i4[8], a51946data[8])), i7309[8], i7399[8], java.lang.Object(java.lang.String(i9213[8])))), ≥)∧0 = 0∧[(-4)bni_50 + (-1)Bound*bni_50] + [bni_50]i7399[8] + [bni_50]i4[8] + [(-1)bni_50]i7309[8] ≥ 0∧0 = 0∧[(-1)bso_51] ≥ 0)



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

    (58)    ([1] + i7309[8] ≥ 0∧i7399[8] ≥ 0∧i4[8] + [-2] + [-1]i7309[8] ≥ 0∧i9213[8] + [-1] ≥ 0∧i7309[8] ≥ 0 ⇒ (UIncreasing(COND_LOAD25971ARR19(&&(&&(&&(&&(>(i9213[8], 0), >(i7309[8], 0)), <(i7309[8], i4[8])), >(i7399[8], 0)), >(+(i7309[8], 1), 0)), java.lang.Object(ARRAY(i4[8], a51946data[8])), i7309[8], i7399[8], java.lang.Object(java.lang.String(i9213[8])))), ≥)∧0 = 0∧[(-3)bni_50 + (-1)Bound*bni_50] + [bni_50]i7399[8] + [bni_50]i4[8] + [(-1)bni_50]i7309[8] ≥ 0∧0 = 0∧[(-1)bso_51] ≥ 0)



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

    (59)    ([1] + i7309[8] ≥ 0∧i7399[8] ≥ 0∧i4[8] ≥ 0∧i9213[8] + [-1] ≥ 0∧i7309[8] ≥ 0 ⇒ (UIncreasing(COND_LOAD25971ARR19(&&(&&(&&(&&(>(i9213[8], 0), >(i7309[8], 0)), <(i7309[8], i4[8])), >(i7399[8], 0)), >(+(i7309[8], 1), 0)), java.lang.Object(ARRAY(i4[8], a51946data[8])), i7309[8], i7399[8], java.lang.Object(java.lang.String(i9213[8])))), ≥)∧0 = 0∧[(-1)Bound*bni_50 + (-1)bni_50] + [bni_50]i7399[8] + [bni_50]i4[8] ≥ 0∧0 = 0∧[(-1)bso_51] ≥ 0)



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

    (60)    ([1] + i7309[8] ≥ 0∧i7399[8] ≥ 0∧i4[8] ≥ 0∧i9213[8] ≥ 0∧i7309[8] ≥ 0 ⇒ (UIncreasing(COND_LOAD25971ARR19(&&(&&(&&(&&(>(i9213[8], 0), >(i7309[8], 0)), <(i7309[8], i4[8])), >(i7399[8], 0)), >(+(i7309[8], 1), 0)), java.lang.Object(ARRAY(i4[8], a51946data[8])), i7309[8], i7399[8], java.lang.Object(java.lang.String(i9213[8])))), ≥)∧0 = 0∧[(-1)Bound*bni_50 + (-1)bni_50] + [bni_50]i7399[8] + [bni_50]i4[8] ≥ 0∧0 = 0∧[(-1)bso_51] ≥ 0)







For Pair COND_LOAD25971ARR19(TRUE, java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9213))) → LOAD25971(java.lang.Object(ARRAY(i4, a51946data)), +(i7309, 1), +(i7399, -1)) the following chains were created:
  • We consider the chain COND_LOAD25971ARR19(TRUE, java.lang.Object(ARRAY(i4[9], a51946data[9])), i7309[9], i7399[9], java.lang.Object(java.lang.String(i9213[9]))) → LOAD25971(java.lang.Object(ARRAY(i4[9], a51946data[9])), +(i7309[9], 1), +(i7399[9], -1)) which results in the following constraint:

    (61)    (COND_LOAD25971ARR19(TRUE, java.lang.Object(ARRAY(i4[9], a51946data[9])), i7309[9], i7399[9], java.lang.Object(java.lang.String(i9213[9])))≥NonInfC∧COND_LOAD25971ARR19(TRUE, java.lang.Object(ARRAY(i4[9], a51946data[9])), i7309[9], i7399[9], java.lang.Object(java.lang.String(i9213[9])))≥LOAD25971(java.lang.Object(ARRAY(i4[9], a51946data[9])), +(i7309[9], 1), +(i7399[9], -1))∧(UIncreasing(LOAD25971(java.lang.Object(ARRAY(i4[9], a51946data[9])), +(i7309[9], 1), +(i7399[9], -1))), ≥))



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

    (62)    ((UIncreasing(LOAD25971(java.lang.Object(ARRAY(i4[9], a51946data[9])), +(i7309[9], 1), +(i7399[9], -1))), ≥)∧[2 + (-1)bso_53] ≥ 0)



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

    (63)    ((UIncreasing(LOAD25971(java.lang.Object(ARRAY(i4[9], a51946data[9])), +(i7309[9], 1), +(i7399[9], -1))), ≥)∧[2 + (-1)bso_53] ≥ 0)



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

    (64)    ((UIncreasing(LOAD25971(java.lang.Object(ARRAY(i4[9], a51946data[9])), +(i7309[9], 1), +(i7399[9], -1))), ≥)∧[2 + (-1)bso_53] ≥ 0)



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

    (65)    ((UIncreasing(LOAD25971(java.lang.Object(ARRAY(i4[9], a51946data[9])), +(i7309[9], 1), +(i7399[9], -1))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[2 + (-1)bso_53] ≥ 0)







For Pair JMP33402'(java.lang.Object(ARRAY(i4, a51946data)), i8081, i7399) → INC33515(java.lang.Object(ARRAY(i4, a51946data)), i8081, i7399) the following chains were created:
  • We consider the chain JMP33402'(java.lang.Object(ARRAY(i4[10], a51946data[10])), i8081[10], i7399[10]) → INC33515(java.lang.Object(ARRAY(i4[10], a51946data[10])), i8081[10], i7399[10]), INC33515(java.lang.Object(ARRAY(i4[3], a51946data[3])), i8081[3], i7399[3]) → LOAD25971(java.lang.Object(ARRAY(i4[3], a51946data[3])), i8081[3], +(i7399[3], -1)) which results in the following constraint:

    (66)    (i8081[10]=i8081[3]∧i4[10]=i4[3]∧a51946data[10]=a51946data[3]∧i7399[10]=i7399[3] ⇒ JMP33402'(java.lang.Object(ARRAY(i4[10], a51946data[10])), i8081[10], i7399[10])≥NonInfC∧JMP33402'(java.lang.Object(ARRAY(i4[10], a51946data[10])), i8081[10], i7399[10])≥INC33515(java.lang.Object(ARRAY(i4[10], a51946data[10])), i8081[10], i7399[10])∧(UIncreasing(INC33515(java.lang.Object(ARRAY(i4[10], a51946data[10])), i8081[10], i7399[10])), ≥))



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

    (67)    (JMP33402'(java.lang.Object(ARRAY(i4[10], a51946data[10])), i8081[10], i7399[10])≥NonInfC∧JMP33402'(java.lang.Object(ARRAY(i4[10], a51946data[10])), i8081[10], i7399[10])≥INC33515(java.lang.Object(ARRAY(i4[10], a51946data[10])), i8081[10], i7399[10])∧(UIncreasing(INC33515(java.lang.Object(ARRAY(i4[10], a51946data[10])), i8081[10], i7399[10])), ≥))



    We simplified constraint (67) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (68)    ((UIncreasing(INC33515(java.lang.Object(ARRAY(i4[10], a51946data[10])), i8081[10], i7399[10])), ≥)∧[(-1)bso_55] ≥ 0)



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

    (69)    ((UIncreasing(INC33515(java.lang.Object(ARRAY(i4[10], a51946data[10])), i8081[10], i7399[10])), ≥)∧[(-1)bso_55] ≥ 0)



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

    (70)    ((UIncreasing(INC33515(java.lang.Object(ARRAY(i4[10], a51946data[10])), i8081[10], i7399[10])), ≥)∧[(-1)bso_55] ≥ 0)



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

    (71)    ((UIncreasing(INC33515(java.lang.Object(ARRAY(i4[10], a51946data[10])), i8081[10], i7399[10])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_55] ≥ 0)







For Pair LOAD25971(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399) → LOAD25971ARR20(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9213))) the following chains were created:
  • We consider the chain LOAD25971(java.lang.Object(ARRAY(i4[11], a51946data[11])), i7309[11], i7399[11]) → LOAD25971ARR20(java.lang.Object(ARRAY(i4[11], a51946data[11])), i7309[11], i7399[11], java.lang.Object(java.lang.String(i9213[11]))) which results in the following constraint:

    (72)    (LOAD25971(java.lang.Object(ARRAY(i4[11], a51946data[11])), i7309[11], i7399[11])≥NonInfC∧LOAD25971(java.lang.Object(ARRAY(i4[11], a51946data[11])), i7309[11], i7399[11])≥LOAD25971ARR20(java.lang.Object(ARRAY(i4[11], a51946data[11])), i7309[11], i7399[11], java.lang.Object(java.lang.String(i9213[11])))∧(UIncreasing(LOAD25971ARR20(java.lang.Object(ARRAY(i4[11], a51946data[11])), i7309[11], i7399[11], java.lang.Object(java.lang.String(i9213[11])))), ≥))



    We simplified constraint (72) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (73)    ((UIncreasing(LOAD25971ARR20(java.lang.Object(ARRAY(i4[11], a51946data[11])), i7309[11], i7399[11], java.lang.Object(java.lang.String(i9213[11])))), ≥)∧[(-1)bso_57] ≥ 0)



    We simplified constraint (73) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (74)    ((UIncreasing(LOAD25971ARR20(java.lang.Object(ARRAY(i4[11], a51946data[11])), i7309[11], i7399[11], java.lang.Object(java.lang.String(i9213[11])))), ≥)∧[(-1)bso_57] ≥ 0)



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

    (75)    ((UIncreasing(LOAD25971ARR20(java.lang.Object(ARRAY(i4[11], a51946data[11])), i7309[11], i7399[11], java.lang.Object(java.lang.String(i9213[11])))), ≥)∧[(-1)bso_57] ≥ 0)



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

    (76)    ((UIncreasing(LOAD25971ARR20(java.lang.Object(ARRAY(i4[11], a51946data[11])), i7309[11], i7399[11], java.lang.Object(java.lang.String(i9213[11])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_57] ≥ 0)







For Pair LOAD25971ARR20(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9213))) → COND_LOAD25971ARR20(&&(&&(&&(&&(>(i9213, 0), >(i7309, 0)), <(i7309, i4)), >(i7399, 0)), >(+(i7309, 1), 0)), java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9213))) the following chains were created:
  • We consider the chain LOAD25971ARR20(java.lang.Object(ARRAY(i4[12], a51946data[12])), i7309[12], i7399[12], java.lang.Object(java.lang.String(i9213[12]))) → COND_LOAD25971ARR20(&&(&&(&&(&&(>(i9213[12], 0), >(i7309[12], 0)), <(i7309[12], i4[12])), >(i7399[12], 0)), >(+(i7309[12], 1), 0)), java.lang.Object(ARRAY(i4[12], a51946data[12])), i7309[12], i7399[12], java.lang.Object(java.lang.String(i9213[12]))), COND_LOAD25971ARR20(TRUE, java.lang.Object(ARRAY(i4[13], a51946data[13])), i7309[13], i7399[13], java.lang.Object(java.lang.String(i9213[13]))) → INC33515(java.lang.Object(ARRAY(i4[13], a51946data[13])), +(i7309[13], 1), i7399[13]) which results in the following constraint:

    (77)    (i9213[12]=i9213[13]∧&&(&&(&&(&&(>(i9213[12], 0), >(i7309[12], 0)), <(i7309[12], i4[12])), >(i7399[12], 0)), >(+(i7309[12], 1), 0))=TRUE∧i7309[12]=i7309[13]∧i4[12]=i4[13]∧a51946data[12]=a51946data[13]∧i7399[12]=i7399[13] ⇒ LOAD25971ARR20(java.lang.Object(ARRAY(i4[12], a51946data[12])), i7309[12], i7399[12], java.lang.Object(java.lang.String(i9213[12])))≥NonInfC∧LOAD25971ARR20(java.lang.Object(ARRAY(i4[12], a51946data[12])), i7309[12], i7399[12], java.lang.Object(java.lang.String(i9213[12])))≥COND_LOAD25971ARR20(&&(&&(&&(&&(>(i9213[12], 0), >(i7309[12], 0)), <(i7309[12], i4[12])), >(i7399[12], 0)), >(+(i7309[12], 1), 0)), java.lang.Object(ARRAY(i4[12], a51946data[12])), i7309[12], i7399[12], java.lang.Object(java.lang.String(i9213[12])))∧(UIncreasing(COND_LOAD25971ARR20(&&(&&(&&(&&(>(i9213[12], 0), >(i7309[12], 0)), <(i7309[12], i4[12])), >(i7399[12], 0)), >(+(i7309[12], 1), 0)), java.lang.Object(ARRAY(i4[12], a51946data[12])), i7309[12], i7399[12], java.lang.Object(java.lang.String(i9213[12])))), ≥))



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

    (78)    (>(+(i7309[12], 1), 0)=TRUE∧>(i7399[12], 0)=TRUE∧<(i7309[12], i4[12])=TRUE∧>(i9213[12], 0)=TRUE∧>(i7309[12], 0)=TRUE ⇒ LOAD25971ARR20(java.lang.Object(ARRAY(i4[12], a51946data[12])), i7309[12], i7399[12], java.lang.Object(java.lang.String(i9213[12])))≥NonInfC∧LOAD25971ARR20(java.lang.Object(ARRAY(i4[12], a51946data[12])), i7309[12], i7399[12], java.lang.Object(java.lang.String(i9213[12])))≥COND_LOAD25971ARR20(&&(&&(&&(&&(>(i9213[12], 0), >(i7309[12], 0)), <(i7309[12], i4[12])), >(i7399[12], 0)), >(+(i7309[12], 1), 0)), java.lang.Object(ARRAY(i4[12], a51946data[12])), i7309[12], i7399[12], java.lang.Object(java.lang.String(i9213[12])))∧(UIncreasing(COND_LOAD25971ARR20(&&(&&(&&(&&(>(i9213[12], 0), >(i7309[12], 0)), <(i7309[12], i4[12])), >(i7399[12], 0)), >(+(i7309[12], 1), 0)), java.lang.Object(ARRAY(i4[12], a51946data[12])), i7309[12], i7399[12], java.lang.Object(java.lang.String(i9213[12])))), ≥))



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

    (79)    (i7309[12] ≥ 0∧i7399[12] + [-1] ≥ 0∧i4[12] + [-1] + [-1]i7309[12] ≥ 0∧i9213[12] + [-1] ≥ 0∧i7309[12] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD25971ARR20(&&(&&(&&(&&(>(i9213[12], 0), >(i7309[12], 0)), <(i7309[12], i4[12])), >(i7399[12], 0)), >(+(i7309[12], 1), 0)), java.lang.Object(ARRAY(i4[12], a51946data[12])), i7309[12], i7399[12], java.lang.Object(java.lang.String(i9213[12])))), ≥)∧[(-3)bni_58 + (-1)Bound*bni_58] + [bni_58]i7399[12] + [(-1)bni_58]i7309[12] + [bni_58]i4[12] ≥ 0∧[(-1)bso_59] ≥ 0)



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

    (80)    (i7309[12] ≥ 0∧i7399[12] + [-1] ≥ 0∧i4[12] + [-1] + [-1]i7309[12] ≥ 0∧i9213[12] + [-1] ≥ 0∧i7309[12] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD25971ARR20(&&(&&(&&(&&(>(i9213[12], 0), >(i7309[12], 0)), <(i7309[12], i4[12])), >(i7399[12], 0)), >(+(i7309[12], 1), 0)), java.lang.Object(ARRAY(i4[12], a51946data[12])), i7309[12], i7399[12], java.lang.Object(java.lang.String(i9213[12])))), ≥)∧[(-3)bni_58 + (-1)Bound*bni_58] + [bni_58]i7399[12] + [(-1)bni_58]i7309[12] + [bni_58]i4[12] ≥ 0∧[(-1)bso_59] ≥ 0)



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

    (81)    (i7309[12] ≥ 0∧i7399[12] + [-1] ≥ 0∧i4[12] + [-1] + [-1]i7309[12] ≥ 0∧i9213[12] + [-1] ≥ 0∧i7309[12] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD25971ARR20(&&(&&(&&(&&(>(i9213[12], 0), >(i7309[12], 0)), <(i7309[12], i4[12])), >(i7399[12], 0)), >(+(i7309[12], 1), 0)), java.lang.Object(ARRAY(i4[12], a51946data[12])), i7309[12], i7399[12], java.lang.Object(java.lang.String(i9213[12])))), ≥)∧[(-3)bni_58 + (-1)Bound*bni_58] + [bni_58]i7399[12] + [(-1)bni_58]i7309[12] + [bni_58]i4[12] ≥ 0∧[(-1)bso_59] ≥ 0)



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

    (82)    (i7309[12] ≥ 0∧i7399[12] + [-1] ≥ 0∧i4[12] + [-1] + [-1]i7309[12] ≥ 0∧i9213[12] + [-1] ≥ 0∧i7309[12] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD25971ARR20(&&(&&(&&(&&(>(i9213[12], 0), >(i7309[12], 0)), <(i7309[12], i4[12])), >(i7399[12], 0)), >(+(i7309[12], 1), 0)), java.lang.Object(ARRAY(i4[12], a51946data[12])), i7309[12], i7399[12], java.lang.Object(java.lang.String(i9213[12])))), ≥)∧0 = 0∧[(-3)bni_58 + (-1)Bound*bni_58] + [bni_58]i7399[12] + [(-1)bni_58]i7309[12] + [bni_58]i4[12] ≥ 0∧0 = 0∧[(-1)bso_59] ≥ 0)



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

    (83)    ([1] + i7309[12] ≥ 0∧i7399[12] + [-1] ≥ 0∧i4[12] + [-2] + [-1]i7309[12] ≥ 0∧i9213[12] + [-1] ≥ 0∧i7309[12] ≥ 0 ⇒ (UIncreasing(COND_LOAD25971ARR20(&&(&&(&&(&&(>(i9213[12], 0), >(i7309[12], 0)), <(i7309[12], i4[12])), >(i7399[12], 0)), >(+(i7309[12], 1), 0)), java.lang.Object(ARRAY(i4[12], a51946data[12])), i7309[12], i7399[12], java.lang.Object(java.lang.String(i9213[12])))), ≥)∧0 = 0∧[(-4)bni_58 + (-1)Bound*bni_58] + [bni_58]i7399[12] + [(-1)bni_58]i7309[12] + [bni_58]i4[12] ≥ 0∧0 = 0∧[(-1)bso_59] ≥ 0)



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

    (84)    ([1] + i7309[12] ≥ 0∧i7399[12] ≥ 0∧i4[12] + [-2] + [-1]i7309[12] ≥ 0∧i9213[12] + [-1] ≥ 0∧i7309[12] ≥ 0 ⇒ (UIncreasing(COND_LOAD25971ARR20(&&(&&(&&(&&(>(i9213[12], 0), >(i7309[12], 0)), <(i7309[12], i4[12])), >(i7399[12], 0)), >(+(i7309[12], 1), 0)), java.lang.Object(ARRAY(i4[12], a51946data[12])), i7309[12], i7399[12], java.lang.Object(java.lang.String(i9213[12])))), ≥)∧0 = 0∧[(-3)bni_58 + (-1)Bound*bni_58] + [bni_58]i7399[12] + [(-1)bni_58]i7309[12] + [bni_58]i4[12] ≥ 0∧0 = 0∧[(-1)bso_59] ≥ 0)



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

    (85)    ([1] + i7309[12] ≥ 0∧i7399[12] ≥ 0∧i4[12] ≥ 0∧i9213[12] + [-1] ≥ 0∧i7309[12] ≥ 0 ⇒ (UIncreasing(COND_LOAD25971ARR20(&&(&&(&&(&&(>(i9213[12], 0), >(i7309[12], 0)), <(i7309[12], i4[12])), >(i7399[12], 0)), >(+(i7309[12], 1), 0)), java.lang.Object(ARRAY(i4[12], a51946data[12])), i7309[12], i7399[12], java.lang.Object(java.lang.String(i9213[12])))), ≥)∧0 = 0∧[(-1)bni_58 + (-1)Bound*bni_58] + [bni_58]i7399[12] + [bni_58]i4[12] ≥ 0∧0 = 0∧[(-1)bso_59] ≥ 0)



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

    (86)    ([1] + i7309[12] ≥ 0∧i7399[12] ≥ 0∧i4[12] ≥ 0∧i9213[12] ≥ 0∧i7309[12] ≥ 0 ⇒ (UIncreasing(COND_LOAD25971ARR20(&&(&&(&&(&&(>(i9213[12], 0), >(i7309[12], 0)), <(i7309[12], i4[12])), >(i7399[12], 0)), >(+(i7309[12], 1), 0)), java.lang.Object(ARRAY(i4[12], a51946data[12])), i7309[12], i7399[12], java.lang.Object(java.lang.String(i9213[12])))), ≥)∧0 = 0∧[(-1)bni_58 + (-1)Bound*bni_58] + [bni_58]i7399[12] + [bni_58]i4[12] ≥ 0∧0 = 0∧[(-1)bso_59] ≥ 0)







For Pair COND_LOAD25971ARR20(TRUE, java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9213))) → INC33515(java.lang.Object(ARRAY(i4, a51946data)), +(i7309, 1), i7399) the following chains were created:
  • We consider the chain COND_LOAD25971ARR20(TRUE, java.lang.Object(ARRAY(i4[13], a51946data[13])), i7309[13], i7399[13], java.lang.Object(java.lang.String(i9213[13]))) → INC33515(java.lang.Object(ARRAY(i4[13], a51946data[13])), +(i7309[13], 1), i7399[13]) which results in the following constraint:

    (87)    (COND_LOAD25971ARR20(TRUE, java.lang.Object(ARRAY(i4[13], a51946data[13])), i7309[13], i7399[13], java.lang.Object(java.lang.String(i9213[13])))≥NonInfC∧COND_LOAD25971ARR20(TRUE, java.lang.Object(ARRAY(i4[13], a51946data[13])), i7309[13], i7399[13], java.lang.Object(java.lang.String(i9213[13])))≥INC33515(java.lang.Object(ARRAY(i4[13], a51946data[13])), +(i7309[13], 1), i7399[13])∧(UIncreasing(INC33515(java.lang.Object(ARRAY(i4[13], a51946data[13])), +(i7309[13], 1), i7399[13])), ≥))



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

    (88)    ((UIncreasing(INC33515(java.lang.Object(ARRAY(i4[13], a51946data[13])), +(i7309[13], 1), i7399[13])), ≥)∧[1 + (-1)bso_61] ≥ 0)



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

    (89)    ((UIncreasing(INC33515(java.lang.Object(ARRAY(i4[13], a51946data[13])), +(i7309[13], 1), i7399[13])), ≥)∧[1 + (-1)bso_61] ≥ 0)



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

    (90)    ((UIncreasing(INC33515(java.lang.Object(ARRAY(i4[13], a51946data[13])), +(i7309[13], 1), i7399[13])), ≥)∧[1 + (-1)bso_61] ≥ 0)



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

    (91)    ((UIncreasing(INC33515(java.lang.Object(ARRAY(i4[13], a51946data[13])), +(i7309[13], 1), i7399[13])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_61] ≥ 0)







For Pair LOAD25971(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399) → LOAD25971ARR21(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9214))) the following chains were created:
  • We consider the chain LOAD25971(java.lang.Object(ARRAY(i4[14], a51946data[14])), i7309[14], i7399[14]) → LOAD25971ARR21(java.lang.Object(ARRAY(i4[14], a51946data[14])), i7309[14], i7399[14], java.lang.Object(java.lang.String(i9214[14]))) which results in the following constraint:

    (92)    (LOAD25971(java.lang.Object(ARRAY(i4[14], a51946data[14])), i7309[14], i7399[14])≥NonInfC∧LOAD25971(java.lang.Object(ARRAY(i4[14], a51946data[14])), i7309[14], i7399[14])≥LOAD25971ARR21(java.lang.Object(ARRAY(i4[14], a51946data[14])), i7309[14], i7399[14], java.lang.Object(java.lang.String(i9214[14])))∧(UIncreasing(LOAD25971ARR21(java.lang.Object(ARRAY(i4[14], a51946data[14])), i7309[14], i7399[14], java.lang.Object(java.lang.String(i9214[14])))), ≥))



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

    (93)    ((UIncreasing(LOAD25971ARR21(java.lang.Object(ARRAY(i4[14], a51946data[14])), i7309[14], i7399[14], java.lang.Object(java.lang.String(i9214[14])))), ≥)∧[(-1)bso_63] ≥ 0)



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

    (94)    ((UIncreasing(LOAD25971ARR21(java.lang.Object(ARRAY(i4[14], a51946data[14])), i7309[14], i7399[14], java.lang.Object(java.lang.String(i9214[14])))), ≥)∧[(-1)bso_63] ≥ 0)



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

    (95)    ((UIncreasing(LOAD25971ARR21(java.lang.Object(ARRAY(i4[14], a51946data[14])), i7309[14], i7399[14], java.lang.Object(java.lang.String(i9214[14])))), ≥)∧[(-1)bso_63] ≥ 0)



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

    (96)    ((UIncreasing(LOAD25971ARR21(java.lang.Object(ARRAY(i4[14], a51946data[14])), i7309[14], i7399[14], java.lang.Object(java.lang.String(i9214[14])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_63] ≥ 0)







For Pair LOAD25971ARR21(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9214))) → COND_LOAD25971ARR21(&&(&&(&&(&&(<=(i9214, 0), >(i7309, 0)), <(i7309, i4)), >(i7399, 0)), >(+(i7309, 1), 0)), java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9214))) the following chains were created:
  • We consider the chain LOAD25971ARR21(java.lang.Object(ARRAY(i4[15], a51946data[15])), i7309[15], i7399[15], java.lang.Object(java.lang.String(i9214[15]))) → COND_LOAD25971ARR21(&&(&&(&&(&&(<=(i9214[15], 0), >(i7309[15], 0)), <(i7309[15], i4[15])), >(i7399[15], 0)), >(+(i7309[15], 1), 0)), java.lang.Object(ARRAY(i4[15], a51946data[15])), i7309[15], i7399[15], java.lang.Object(java.lang.String(i9214[15]))), COND_LOAD25971ARR21(TRUE, java.lang.Object(ARRAY(i4[16], a51946data[16])), i7309[16], i7399[16], java.lang.Object(java.lang.String(i9214[16]))) → INC33515(java.lang.Object(ARRAY(i4[16], a51946data[16])), +(i7309[16], 1), i7399[16]) which results in the following constraint:

    (97)    (i7399[15]=i7399[16]∧i9214[15]=i9214[16]∧i4[15]=i4[16]∧a51946data[15]=a51946data[16]∧&&(&&(&&(&&(<=(i9214[15], 0), >(i7309[15], 0)), <(i7309[15], i4[15])), >(i7399[15], 0)), >(+(i7309[15], 1), 0))=TRUE∧i7309[15]=i7309[16] ⇒ LOAD25971ARR21(java.lang.Object(ARRAY(i4[15], a51946data[15])), i7309[15], i7399[15], java.lang.Object(java.lang.String(i9214[15])))≥NonInfC∧LOAD25971ARR21(java.lang.Object(ARRAY(i4[15], a51946data[15])), i7309[15], i7399[15], java.lang.Object(java.lang.String(i9214[15])))≥COND_LOAD25971ARR21(&&(&&(&&(&&(<=(i9214[15], 0), >(i7309[15], 0)), <(i7309[15], i4[15])), >(i7399[15], 0)), >(+(i7309[15], 1), 0)), java.lang.Object(ARRAY(i4[15], a51946data[15])), i7309[15], i7399[15], java.lang.Object(java.lang.String(i9214[15])))∧(UIncreasing(COND_LOAD25971ARR21(&&(&&(&&(&&(<=(i9214[15], 0), >(i7309[15], 0)), <(i7309[15], i4[15])), >(i7399[15], 0)), >(+(i7309[15], 1), 0)), java.lang.Object(ARRAY(i4[15], a51946data[15])), i7309[15], i7399[15], java.lang.Object(java.lang.String(i9214[15])))), ≥))



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

    (98)    (>(+(i7309[15], 1), 0)=TRUE∧>(i7399[15], 0)=TRUE∧<(i7309[15], i4[15])=TRUE∧<=(i9214[15], 0)=TRUE∧>(i7309[15], 0)=TRUE ⇒ LOAD25971ARR21(java.lang.Object(ARRAY(i4[15], a51946data[15])), i7309[15], i7399[15], java.lang.Object(java.lang.String(i9214[15])))≥NonInfC∧LOAD25971ARR21(java.lang.Object(ARRAY(i4[15], a51946data[15])), i7309[15], i7399[15], java.lang.Object(java.lang.String(i9214[15])))≥COND_LOAD25971ARR21(&&(&&(&&(&&(<=(i9214[15], 0), >(i7309[15], 0)), <(i7309[15], i4[15])), >(i7399[15], 0)), >(+(i7309[15], 1), 0)), java.lang.Object(ARRAY(i4[15], a51946data[15])), i7309[15], i7399[15], java.lang.Object(java.lang.String(i9214[15])))∧(UIncreasing(COND_LOAD25971ARR21(&&(&&(&&(&&(<=(i9214[15], 0), >(i7309[15], 0)), <(i7309[15], i4[15])), >(i7399[15], 0)), >(+(i7309[15], 1), 0)), java.lang.Object(ARRAY(i4[15], a51946data[15])), i7309[15], i7399[15], java.lang.Object(java.lang.String(i9214[15])))), ≥))



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

    (99)    (i7309[15] ≥ 0∧i7399[15] + [-1] ≥ 0∧i4[15] + [-1] + [-1]i7309[15] ≥ 0∧[-1]i9214[15] ≥ 0∧i7309[15] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD25971ARR21(&&(&&(&&(&&(<=(i9214[15], 0), >(i7309[15], 0)), <(i7309[15], i4[15])), >(i7399[15], 0)), >(+(i7309[15], 1), 0)), java.lang.Object(ARRAY(i4[15], a51946data[15])), i7309[15], i7399[15], java.lang.Object(java.lang.String(i9214[15])))), ≥)∧[(-3)bni_64 + (-1)Bound*bni_64] + [bni_64]i7399[15] + [(-1)bni_64]i7309[15] + [bni_64]i4[15] ≥ 0∧[(-1)bso_65] ≥ 0)



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

    (100)    (i7309[15] ≥ 0∧i7399[15] + [-1] ≥ 0∧i4[15] + [-1] + [-1]i7309[15] ≥ 0∧[-1]i9214[15] ≥ 0∧i7309[15] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD25971ARR21(&&(&&(&&(&&(<=(i9214[15], 0), >(i7309[15], 0)), <(i7309[15], i4[15])), >(i7399[15], 0)), >(+(i7309[15], 1), 0)), java.lang.Object(ARRAY(i4[15], a51946data[15])), i7309[15], i7399[15], java.lang.Object(java.lang.String(i9214[15])))), ≥)∧[(-3)bni_64 + (-1)Bound*bni_64] + [bni_64]i7399[15] + [(-1)bni_64]i7309[15] + [bni_64]i4[15] ≥ 0∧[(-1)bso_65] ≥ 0)



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

    (101)    (i7309[15] ≥ 0∧i7399[15] + [-1] ≥ 0∧i4[15] + [-1] + [-1]i7309[15] ≥ 0∧[-1]i9214[15] ≥ 0∧i7309[15] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD25971ARR21(&&(&&(&&(&&(<=(i9214[15], 0), >(i7309[15], 0)), <(i7309[15], i4[15])), >(i7399[15], 0)), >(+(i7309[15], 1), 0)), java.lang.Object(ARRAY(i4[15], a51946data[15])), i7309[15], i7399[15], java.lang.Object(java.lang.String(i9214[15])))), ≥)∧[(-3)bni_64 + (-1)Bound*bni_64] + [bni_64]i7399[15] + [(-1)bni_64]i7309[15] + [bni_64]i4[15] ≥ 0∧[(-1)bso_65] ≥ 0)



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

    (102)    (i7309[15] ≥ 0∧i7399[15] + [-1] ≥ 0∧i4[15] + [-1] + [-1]i7309[15] ≥ 0∧[-1]i9214[15] ≥ 0∧i7309[15] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD25971ARR21(&&(&&(&&(&&(<=(i9214[15], 0), >(i7309[15], 0)), <(i7309[15], i4[15])), >(i7399[15], 0)), >(+(i7309[15], 1), 0)), java.lang.Object(ARRAY(i4[15], a51946data[15])), i7309[15], i7399[15], java.lang.Object(java.lang.String(i9214[15])))), ≥)∧0 = 0∧[(-3)bni_64 + (-1)Bound*bni_64] + [bni_64]i7399[15] + [(-1)bni_64]i7309[15] + [bni_64]i4[15] ≥ 0∧0 = 0∧[(-1)bso_65] ≥ 0)



    We simplified constraint (102) using rule (IDP_SMT_SPLIT) which results in the following new constraint:

    (103)    ([1] + i7309[15] ≥ 0∧i7399[15] + [-1] ≥ 0∧i4[15] + [-2] + [-1]i7309[15] ≥ 0∧[-1]i9214[15] ≥ 0∧i7309[15] ≥ 0 ⇒ (UIncreasing(COND_LOAD25971ARR21(&&(&&(&&(&&(<=(i9214[15], 0), >(i7309[15], 0)), <(i7309[15], i4[15])), >(i7399[15], 0)), >(+(i7309[15], 1), 0)), java.lang.Object(ARRAY(i4[15], a51946data[15])), i7309[15], i7399[15], java.lang.Object(java.lang.String(i9214[15])))), ≥)∧0 = 0∧[(-4)bni_64 + (-1)Bound*bni_64] + [bni_64]i7399[15] + [(-1)bni_64]i7309[15] + [bni_64]i4[15] ≥ 0∧0 = 0∧[(-1)bso_65] ≥ 0)



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

    (104)    ([1] + i7309[15] ≥ 0∧i7399[15] ≥ 0∧i4[15] + [-2] + [-1]i7309[15] ≥ 0∧[-1]i9214[15] ≥ 0∧i7309[15] ≥ 0 ⇒ (UIncreasing(COND_LOAD25971ARR21(&&(&&(&&(&&(<=(i9214[15], 0), >(i7309[15], 0)), <(i7309[15], i4[15])), >(i7399[15], 0)), >(+(i7309[15], 1), 0)), java.lang.Object(ARRAY(i4[15], a51946data[15])), i7309[15], i7399[15], java.lang.Object(java.lang.String(i9214[15])))), ≥)∧0 = 0∧[(-3)bni_64 + (-1)Bound*bni_64] + [bni_64]i7399[15] + [(-1)bni_64]i7309[15] + [bni_64]i4[15] ≥ 0∧0 = 0∧[(-1)bso_65] ≥ 0)



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

    (105)    ([1] + i7309[15] ≥ 0∧i7399[15] ≥ 0∧i4[15] ≥ 0∧[-1]i9214[15] ≥ 0∧i7309[15] ≥ 0 ⇒ (UIncreasing(COND_LOAD25971ARR21(&&(&&(&&(&&(<=(i9214[15], 0), >(i7309[15], 0)), <(i7309[15], i4[15])), >(i7399[15], 0)), >(+(i7309[15], 1), 0)), java.lang.Object(ARRAY(i4[15], a51946data[15])), i7309[15], i7399[15], java.lang.Object(java.lang.String(i9214[15])))), ≥)∧0 = 0∧[(-1)bni_64 + (-1)Bound*bni_64] + [bni_64]i7399[15] + [bni_64]i4[15] ≥ 0∧0 = 0∧[(-1)bso_65] ≥ 0)



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

    (106)    ([1] + i7309[15] ≥ 0∧i7399[15] ≥ 0∧i4[15] ≥ 0∧i9214[15] ≥ 0∧i7309[15] ≥ 0 ⇒ (UIncreasing(COND_LOAD25971ARR21(&&(&&(&&(&&(<=(i9214[15], 0), >(i7309[15], 0)), <(i7309[15], i4[15])), >(i7399[15], 0)), >(+(i7309[15], 1), 0)), java.lang.Object(ARRAY(i4[15], a51946data[15])), i7309[15], i7399[15], java.lang.Object(java.lang.String(i9214[15])))), ≥)∧0 = 0∧[(-1)bni_64 + (-1)Bound*bni_64] + [bni_64]i7399[15] + [bni_64]i4[15] ≥ 0∧0 = 0∧[(-1)bso_65] ≥ 0)







For Pair COND_LOAD25971ARR21(TRUE, java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9214))) → INC33515(java.lang.Object(ARRAY(i4, a51946data)), +(i7309, 1), i7399) the following chains were created:
  • We consider the chain COND_LOAD25971ARR21(TRUE, java.lang.Object(ARRAY(i4[16], a51946data[16])), i7309[16], i7399[16], java.lang.Object(java.lang.String(i9214[16]))) → INC33515(java.lang.Object(ARRAY(i4[16], a51946data[16])), +(i7309[16], 1), i7399[16]) which results in the following constraint:

    (107)    (COND_LOAD25971ARR21(TRUE, java.lang.Object(ARRAY(i4[16], a51946data[16])), i7309[16], i7399[16], java.lang.Object(java.lang.String(i9214[16])))≥NonInfC∧COND_LOAD25971ARR21(TRUE, java.lang.Object(ARRAY(i4[16], a51946data[16])), i7309[16], i7399[16], java.lang.Object(java.lang.String(i9214[16])))≥INC33515(java.lang.Object(ARRAY(i4[16], a51946data[16])), +(i7309[16], 1), i7399[16])∧(UIncreasing(INC33515(java.lang.Object(ARRAY(i4[16], a51946data[16])), +(i7309[16], 1), i7399[16])), ≥))



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

    (108)    ((UIncreasing(INC33515(java.lang.Object(ARRAY(i4[16], a51946data[16])), +(i7309[16], 1), i7399[16])), ≥)∧[1 + (-1)bso_67] ≥ 0)



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

    (109)    ((UIncreasing(INC33515(java.lang.Object(ARRAY(i4[16], a51946data[16])), +(i7309[16], 1), i7399[16])), ≥)∧[1 + (-1)bso_67] ≥ 0)



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

    (110)    ((UIncreasing(INC33515(java.lang.Object(ARRAY(i4[16], a51946data[16])), +(i7309[16], 1), i7399[16])), ≥)∧[1 + (-1)bso_67] ≥ 0)



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

    (111)    ((UIncreasing(INC33515(java.lang.Object(ARRAY(i4[16], a51946data[16])), +(i7309[16], 1), i7399[16])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_67] ≥ 0)







For Pair LOAD25971(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399) → LOAD25971ARR24(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9214))) the following chains were created:
  • We consider the chain LOAD25971(java.lang.Object(ARRAY(i4[17], a51946data[17])), i7309[17], i7399[17]) → LOAD25971ARR24(java.lang.Object(ARRAY(i4[17], a51946data[17])), i7309[17], i7399[17], java.lang.Object(java.lang.String(i9214[17]))) which results in the following constraint:

    (112)    (LOAD25971(java.lang.Object(ARRAY(i4[17], a51946data[17])), i7309[17], i7399[17])≥NonInfC∧LOAD25971(java.lang.Object(ARRAY(i4[17], a51946data[17])), i7309[17], i7399[17])≥LOAD25971ARR24(java.lang.Object(ARRAY(i4[17], a51946data[17])), i7309[17], i7399[17], java.lang.Object(java.lang.String(i9214[17])))∧(UIncreasing(LOAD25971ARR24(java.lang.Object(ARRAY(i4[17], a51946data[17])), i7309[17], i7399[17], java.lang.Object(java.lang.String(i9214[17])))), ≥))



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

    (113)    ((UIncreasing(LOAD25971ARR24(java.lang.Object(ARRAY(i4[17], a51946data[17])), i7309[17], i7399[17], java.lang.Object(java.lang.String(i9214[17])))), ≥)∧[(-1)bso_69] ≥ 0)



    We simplified constraint (113) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (114)    ((UIncreasing(LOAD25971ARR24(java.lang.Object(ARRAY(i4[17], a51946data[17])), i7309[17], i7399[17], java.lang.Object(java.lang.String(i9214[17])))), ≥)∧[(-1)bso_69] ≥ 0)



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

    (115)    ((UIncreasing(LOAD25971ARR24(java.lang.Object(ARRAY(i4[17], a51946data[17])), i7309[17], i7399[17], java.lang.Object(java.lang.String(i9214[17])))), ≥)∧[(-1)bso_69] ≥ 0)



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

    (116)    ((UIncreasing(LOAD25971ARR24(java.lang.Object(ARRAY(i4[17], a51946data[17])), i7309[17], i7399[17], java.lang.Object(java.lang.String(i9214[17])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_69] ≥ 0)







For Pair LOAD25971ARR24(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9214))) → COND_LOAD25971ARR24(&&(&&(&&(&&(<=(i9214, 0), >(i7309, 0)), <(i7309, i4)), >(i7399, 0)), >(+(i7309, 1), 0)), java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9214))) the following chains were created:
  • We consider the chain LOAD25971ARR24(java.lang.Object(ARRAY(i4[18], a51946data[18])), i7309[18], i7399[18], java.lang.Object(java.lang.String(i9214[18]))) → COND_LOAD25971ARR24(&&(&&(&&(&&(<=(i9214[18], 0), >(i7309[18], 0)), <(i7309[18], i4[18])), >(i7399[18], 0)), >(+(i7309[18], 1), 0)), java.lang.Object(ARRAY(i4[18], a51946data[18])), i7309[18], i7399[18], java.lang.Object(java.lang.String(i9214[18]))), COND_LOAD25971ARR24(TRUE, java.lang.Object(ARRAY(i4[19], a51946data[19])), i7309[19], i7399[19], java.lang.Object(java.lang.String(i9214[19]))) → JMP33402'(java.lang.Object(ARRAY(i4[19], a51946data[19])), +(i7309[19], 1), i7399[19]) which results in the following constraint:

    (117)    (i4[18]=i4[19]∧a51946data[18]=a51946data[19]∧&&(&&(&&(&&(<=(i9214[18], 0), >(i7309[18], 0)), <(i7309[18], i4[18])), >(i7399[18], 0)), >(+(i7309[18], 1), 0))=TRUE∧i7309[18]=i7309[19]∧i7399[18]=i7399[19]∧i9214[18]=i9214[19] ⇒ LOAD25971ARR24(java.lang.Object(ARRAY(i4[18], a51946data[18])), i7309[18], i7399[18], java.lang.Object(java.lang.String(i9214[18])))≥NonInfC∧LOAD25971ARR24(java.lang.Object(ARRAY(i4[18], a51946data[18])), i7309[18], i7399[18], java.lang.Object(java.lang.String(i9214[18])))≥COND_LOAD25971ARR24(&&(&&(&&(&&(<=(i9214[18], 0), >(i7309[18], 0)), <(i7309[18], i4[18])), >(i7399[18], 0)), >(+(i7309[18], 1), 0)), java.lang.Object(ARRAY(i4[18], a51946data[18])), i7309[18], i7399[18], java.lang.Object(java.lang.String(i9214[18])))∧(UIncreasing(COND_LOAD25971ARR24(&&(&&(&&(&&(<=(i9214[18], 0), >(i7309[18], 0)), <(i7309[18], i4[18])), >(i7399[18], 0)), >(+(i7309[18], 1), 0)), java.lang.Object(ARRAY(i4[18], a51946data[18])), i7309[18], i7399[18], java.lang.Object(java.lang.String(i9214[18])))), ≥))



    We simplified constraint (117) using rules (IV), (IDP_BOOLEAN) which results in the following new constraint:

    (118)    (>(+(i7309[18], 1), 0)=TRUE∧>(i7399[18], 0)=TRUE∧<(i7309[18], i4[18])=TRUE∧<=(i9214[18], 0)=TRUE∧>(i7309[18], 0)=TRUE ⇒ LOAD25971ARR24(java.lang.Object(ARRAY(i4[18], a51946data[18])), i7309[18], i7399[18], java.lang.Object(java.lang.String(i9214[18])))≥NonInfC∧LOAD25971ARR24(java.lang.Object(ARRAY(i4[18], a51946data[18])), i7309[18], i7399[18], java.lang.Object(java.lang.String(i9214[18])))≥COND_LOAD25971ARR24(&&(&&(&&(&&(<=(i9214[18], 0), >(i7309[18], 0)), <(i7309[18], i4[18])), >(i7399[18], 0)), >(+(i7309[18], 1), 0)), java.lang.Object(ARRAY(i4[18], a51946data[18])), i7309[18], i7399[18], java.lang.Object(java.lang.String(i9214[18])))∧(UIncreasing(COND_LOAD25971ARR24(&&(&&(&&(&&(<=(i9214[18], 0), >(i7309[18], 0)), <(i7309[18], i4[18])), >(i7399[18], 0)), >(+(i7309[18], 1), 0)), java.lang.Object(ARRAY(i4[18], a51946data[18])), i7309[18], i7399[18], java.lang.Object(java.lang.String(i9214[18])))), ≥))



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

    (119)    (i7309[18] ≥ 0∧i7399[18] + [-1] ≥ 0∧i4[18] + [-1] + [-1]i7309[18] ≥ 0∧[-1]i9214[18] ≥ 0∧i7309[18] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD25971ARR24(&&(&&(&&(&&(<=(i9214[18], 0), >(i7309[18], 0)), <(i7309[18], i4[18])), >(i7399[18], 0)), >(+(i7309[18], 1), 0)), java.lang.Object(ARRAY(i4[18], a51946data[18])), i7309[18], i7399[18], java.lang.Object(java.lang.String(i9214[18])))), ≥)∧[(-3)bni_70 + (-1)Bound*bni_70] + [bni_70]i7399[18] + [(-1)bni_70]i7309[18] + [bni_70]i4[18] ≥ 0∧[(-1)bso_71] ≥ 0)



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

    (120)    (i7309[18] ≥ 0∧i7399[18] + [-1] ≥ 0∧i4[18] + [-1] + [-1]i7309[18] ≥ 0∧[-1]i9214[18] ≥ 0∧i7309[18] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD25971ARR24(&&(&&(&&(&&(<=(i9214[18], 0), >(i7309[18], 0)), <(i7309[18], i4[18])), >(i7399[18], 0)), >(+(i7309[18], 1), 0)), java.lang.Object(ARRAY(i4[18], a51946data[18])), i7309[18], i7399[18], java.lang.Object(java.lang.String(i9214[18])))), ≥)∧[(-3)bni_70 + (-1)Bound*bni_70] + [bni_70]i7399[18] + [(-1)bni_70]i7309[18] + [bni_70]i4[18] ≥ 0∧[(-1)bso_71] ≥ 0)



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

    (121)    (i7309[18] ≥ 0∧i7399[18] + [-1] ≥ 0∧i4[18] + [-1] + [-1]i7309[18] ≥ 0∧[-1]i9214[18] ≥ 0∧i7309[18] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD25971ARR24(&&(&&(&&(&&(<=(i9214[18], 0), >(i7309[18], 0)), <(i7309[18], i4[18])), >(i7399[18], 0)), >(+(i7309[18], 1), 0)), java.lang.Object(ARRAY(i4[18], a51946data[18])), i7309[18], i7399[18], java.lang.Object(java.lang.String(i9214[18])))), ≥)∧[(-3)bni_70 + (-1)Bound*bni_70] + [bni_70]i7399[18] + [(-1)bni_70]i7309[18] + [bni_70]i4[18] ≥ 0∧[(-1)bso_71] ≥ 0)



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

    (122)    (i7309[18] ≥ 0∧i7399[18] + [-1] ≥ 0∧i4[18] + [-1] + [-1]i7309[18] ≥ 0∧[-1]i9214[18] ≥ 0∧i7309[18] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD25971ARR24(&&(&&(&&(&&(<=(i9214[18], 0), >(i7309[18], 0)), <(i7309[18], i4[18])), >(i7399[18], 0)), >(+(i7309[18], 1), 0)), java.lang.Object(ARRAY(i4[18], a51946data[18])), i7309[18], i7399[18], java.lang.Object(java.lang.String(i9214[18])))), ≥)∧0 = 0∧[(-3)bni_70 + (-1)Bound*bni_70] + [bni_70]i7399[18] + [(-1)bni_70]i7309[18] + [bni_70]i4[18] ≥ 0∧0 = 0∧[(-1)bso_71] ≥ 0)



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

    (123)    ([1] + i7309[18] ≥ 0∧i7399[18] + [-1] ≥ 0∧i4[18] + [-2] + [-1]i7309[18] ≥ 0∧[-1]i9214[18] ≥ 0∧i7309[18] ≥ 0 ⇒ (UIncreasing(COND_LOAD25971ARR24(&&(&&(&&(&&(<=(i9214[18], 0), >(i7309[18], 0)), <(i7309[18], i4[18])), >(i7399[18], 0)), >(+(i7309[18], 1), 0)), java.lang.Object(ARRAY(i4[18], a51946data[18])), i7309[18], i7399[18], java.lang.Object(java.lang.String(i9214[18])))), ≥)∧0 = 0∧[(-4)bni_70 + (-1)Bound*bni_70] + [bni_70]i7399[18] + [(-1)bni_70]i7309[18] + [bni_70]i4[18] ≥ 0∧0 = 0∧[(-1)bso_71] ≥ 0)



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

    (124)    ([1] + i7309[18] ≥ 0∧i7399[18] ≥ 0∧i4[18] + [-2] + [-1]i7309[18] ≥ 0∧[-1]i9214[18] ≥ 0∧i7309[18] ≥ 0 ⇒ (UIncreasing(COND_LOAD25971ARR24(&&(&&(&&(&&(<=(i9214[18], 0), >(i7309[18], 0)), <(i7309[18], i4[18])), >(i7399[18], 0)), >(+(i7309[18], 1), 0)), java.lang.Object(ARRAY(i4[18], a51946data[18])), i7309[18], i7399[18], java.lang.Object(java.lang.String(i9214[18])))), ≥)∧0 = 0∧[(-3)bni_70 + (-1)Bound*bni_70] + [bni_70]i7399[18] + [(-1)bni_70]i7309[18] + [bni_70]i4[18] ≥ 0∧0 = 0∧[(-1)bso_71] ≥ 0)



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

    (125)    ([1] + i7309[18] ≥ 0∧i7399[18] ≥ 0∧i4[18] ≥ 0∧[-1]i9214[18] ≥ 0∧i7309[18] ≥ 0 ⇒ (UIncreasing(COND_LOAD25971ARR24(&&(&&(&&(&&(<=(i9214[18], 0), >(i7309[18], 0)), <(i7309[18], i4[18])), >(i7399[18], 0)), >(+(i7309[18], 1), 0)), java.lang.Object(ARRAY(i4[18], a51946data[18])), i7309[18], i7399[18], java.lang.Object(java.lang.String(i9214[18])))), ≥)∧0 = 0∧[(-1)bni_70 + (-1)Bound*bni_70] + [bni_70]i7399[18] + [bni_70]i4[18] ≥ 0∧0 = 0∧[(-1)bso_71] ≥ 0)



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

    (126)    ([1] + i7309[18] ≥ 0∧i7399[18] ≥ 0∧i4[18] ≥ 0∧i9214[18] ≥ 0∧i7309[18] ≥ 0 ⇒ (UIncreasing(COND_LOAD25971ARR24(&&(&&(&&(&&(<=(i9214[18], 0), >(i7309[18], 0)), <(i7309[18], i4[18])), >(i7399[18], 0)), >(+(i7309[18], 1), 0)), java.lang.Object(ARRAY(i4[18], a51946data[18])), i7309[18], i7399[18], java.lang.Object(java.lang.String(i9214[18])))), ≥)∧0 = 0∧[(-1)bni_70 + (-1)Bound*bni_70] + [bni_70]i7399[18] + [bni_70]i4[18] ≥ 0∧0 = 0∧[(-1)bso_71] ≥ 0)







For Pair COND_LOAD25971ARR24(TRUE, java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9214))) → JMP33402'(java.lang.Object(ARRAY(i4, a51946data)), +(i7309, 1), i7399) the following chains were created:
  • We consider the chain COND_LOAD25971ARR24(TRUE, java.lang.Object(ARRAY(i4[19], a51946data[19])), i7309[19], i7399[19], java.lang.Object(java.lang.String(i9214[19]))) → JMP33402'(java.lang.Object(ARRAY(i4[19], a51946data[19])), +(i7309[19], 1), i7399[19]) which results in the following constraint:

    (127)    (COND_LOAD25971ARR24(TRUE, java.lang.Object(ARRAY(i4[19], a51946data[19])), i7309[19], i7399[19], java.lang.Object(java.lang.String(i9214[19])))≥NonInfC∧COND_LOAD25971ARR24(TRUE, java.lang.Object(ARRAY(i4[19], a51946data[19])), i7309[19], i7399[19], java.lang.Object(java.lang.String(i9214[19])))≥JMP33402'(java.lang.Object(ARRAY(i4[19], a51946data[19])), +(i7309[19], 1), i7399[19])∧(UIncreasing(JMP33402'(java.lang.Object(ARRAY(i4[19], a51946data[19])), +(i7309[19], 1), i7399[19])), ≥))



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

    (128)    ((UIncreasing(JMP33402'(java.lang.Object(ARRAY(i4[19], a51946data[19])), +(i7309[19], 1), i7399[19])), ≥)∧[1 + (-1)bso_73] ≥ 0)



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

    (129)    ((UIncreasing(JMP33402'(java.lang.Object(ARRAY(i4[19], a51946data[19])), +(i7309[19], 1), i7399[19])), ≥)∧[1 + (-1)bso_73] ≥ 0)



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

    (130)    ((UIncreasing(JMP33402'(java.lang.Object(ARRAY(i4[19], a51946data[19])), +(i7309[19], 1), i7399[19])), ≥)∧[1 + (-1)bso_73] ≥ 0)



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

    (131)    ((UIncreasing(JMP33402'(java.lang.Object(ARRAY(i4[19], a51946data[19])), +(i7309[19], 1), i7399[19])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_73] ≥ 0)







To summarize, we get the following constraints P≥ for the following pairs.
  • LOAD25971(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399) → LOAD25971ARR17(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9213)))
    • ((UIncreasing(LOAD25971ARR17(java.lang.Object(ARRAY(i4[0], a51946data[0])), i7309[0], i7399[0], java.lang.Object(java.lang.String(i9213[0])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_35] ≥ 0)

  • LOAD25971ARR17(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9213))) → COND_LOAD25971ARR17(&&(&&(&&(&&(>(i9213, 0), >(i7309, 0)), <(i7309, i4)), >(i7399, 0)), >(+(i7309, 1), 0)), java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9213)))
    • ([1] + i7309[1] ≥ 0∧i7399[1] ≥ 0∧i4[1] ≥ 0∧i9213[1] ≥ 0∧i7309[1] ≥ 0 ⇒ (UIncreasing(COND_LOAD25971ARR17(&&(&&(&&(&&(>(i9213[1], 0), >(i7309[1], 0)), <(i7309[1], i4[1])), >(i7399[1], 0)), >(+(i7309[1], 1), 0)), java.lang.Object(ARRAY(i4[1], a51946data[1])), i7309[1], i7399[1], java.lang.Object(java.lang.String(i9213[1])))), ≥)∧0 = 0∧[(-1)Bound*bni_36 + (-1)bni_36] + [bni_36]i7399[1] + [bni_36]i4[1] ≥ 0∧0 = 0∧[(-1)bso_37] ≥ 0)

  • COND_LOAD25971ARR17(TRUE, java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9213))) → JMP33402'(java.lang.Object(ARRAY(i4, a51946data)), +(i7309, 1), i7399)
    • ((UIncreasing(JMP33402'(java.lang.Object(ARRAY(i4[2], a51946data[2])), +(i7309[2], 1), i7399[2])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_39] ≥ 0)

  • INC33515(java.lang.Object(ARRAY(i4, a51946data)), i8081, i7399) → LOAD25971(java.lang.Object(ARRAY(i4, a51946data)), i8081, +(i7399, -1))
    • ((UIncreasing(LOAD25971(java.lang.Object(ARRAY(i4[3], a51946data[3])), i8081[3], +(i7399[3], -1))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_41] ≥ 0)

  • LOAD25971(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399) → LOAD25971ARR18(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9214)))
    • ((UIncreasing(LOAD25971ARR18(java.lang.Object(ARRAY(i4[4], a51946data[4])), i7309[4], i7399[4], java.lang.Object(java.lang.String(i9214[4])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_43] ≥ 0)

  • LOAD25971ARR18(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9214))) → COND_LOAD25971ARR18(&&(&&(&&(&&(<=(i9214, 0), >(i7309, 0)), <(i7309, i4)), >(i7399, 0)), >(+(i7309, 1), 0)), java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9214)))
    • ([1] + i7309[5] ≥ 0∧i7399[5] ≥ 0∧i4[5] ≥ 0∧i9214[5] ≥ 0∧i7309[5] ≥ 0 ⇒ (UIncreasing(COND_LOAD25971ARR18(&&(&&(&&(&&(<=(i9214[5], 0), >(i7309[5], 0)), <(i7309[5], i4[5])), >(i7399[5], 0)), >(+(i7309[5], 1), 0)), java.lang.Object(ARRAY(i4[5], a51946data[5])), i7309[5], i7399[5], java.lang.Object(java.lang.String(i9214[5])))), ≥)∧0 = 0∧[(-1)Bound*bni_44 + (-1)bni_44] + [bni_44]i7399[5] + [bni_44]i4[5] ≥ 0∧0 = 0∧[(-1)bso_45] ≥ 0)

  • COND_LOAD25971ARR18(TRUE, java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9214))) → LOAD25971(java.lang.Object(ARRAY(i4, a51946data)), +(i7309, 1), +(i7399, -1))
    • ((UIncreasing(LOAD25971(java.lang.Object(ARRAY(i4[6], a51946data[6])), +(i7309[6], 1), +(i7399[6], -1))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[2 + (-1)bso_47] ≥ 0)

  • LOAD25971(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399) → LOAD25971ARR19(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9213)))
    • ((UIncreasing(LOAD25971ARR19(java.lang.Object(ARRAY(i4[7], a51946data[7])), i7309[7], i7399[7], java.lang.Object(java.lang.String(i9213[7])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_49] ≥ 0)

  • LOAD25971ARR19(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9213))) → COND_LOAD25971ARR19(&&(&&(&&(&&(>(i9213, 0), >(i7309, 0)), <(i7309, i4)), >(i7399, 0)), >(+(i7309, 1), 0)), java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9213)))
    • ([1] + i7309[8] ≥ 0∧i7399[8] ≥ 0∧i4[8] ≥ 0∧i9213[8] ≥ 0∧i7309[8] ≥ 0 ⇒ (UIncreasing(COND_LOAD25971ARR19(&&(&&(&&(&&(>(i9213[8], 0), >(i7309[8], 0)), <(i7309[8], i4[8])), >(i7399[8], 0)), >(+(i7309[8], 1), 0)), java.lang.Object(ARRAY(i4[8], a51946data[8])), i7309[8], i7399[8], java.lang.Object(java.lang.String(i9213[8])))), ≥)∧0 = 0∧[(-1)Bound*bni_50 + (-1)bni_50] + [bni_50]i7399[8] + [bni_50]i4[8] ≥ 0∧0 = 0∧[(-1)bso_51] ≥ 0)

  • COND_LOAD25971ARR19(TRUE, java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9213))) → LOAD25971(java.lang.Object(ARRAY(i4, a51946data)), +(i7309, 1), +(i7399, -1))
    • ((UIncreasing(LOAD25971(java.lang.Object(ARRAY(i4[9], a51946data[9])), +(i7309[9], 1), +(i7399[9], -1))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[2 + (-1)bso_53] ≥ 0)

  • JMP33402'(java.lang.Object(ARRAY(i4, a51946data)), i8081, i7399) → INC33515(java.lang.Object(ARRAY(i4, a51946data)), i8081, i7399)
    • ((UIncreasing(INC33515(java.lang.Object(ARRAY(i4[10], a51946data[10])), i8081[10], i7399[10])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_55] ≥ 0)

  • LOAD25971(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399) → LOAD25971ARR20(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9213)))
    • ((UIncreasing(LOAD25971ARR20(java.lang.Object(ARRAY(i4[11], a51946data[11])), i7309[11], i7399[11], java.lang.Object(java.lang.String(i9213[11])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_57] ≥ 0)

  • LOAD25971ARR20(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9213))) → COND_LOAD25971ARR20(&&(&&(&&(&&(>(i9213, 0), >(i7309, 0)), <(i7309, i4)), >(i7399, 0)), >(+(i7309, 1), 0)), java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9213)))
    • ([1] + i7309[12] ≥ 0∧i7399[12] ≥ 0∧i4[12] ≥ 0∧i9213[12] ≥ 0∧i7309[12] ≥ 0 ⇒ (UIncreasing(COND_LOAD25971ARR20(&&(&&(&&(&&(>(i9213[12], 0), >(i7309[12], 0)), <(i7309[12], i4[12])), >(i7399[12], 0)), >(+(i7309[12], 1), 0)), java.lang.Object(ARRAY(i4[12], a51946data[12])), i7309[12], i7399[12], java.lang.Object(java.lang.String(i9213[12])))), ≥)∧0 = 0∧[(-1)bni_58 + (-1)Bound*bni_58] + [bni_58]i7399[12] + [bni_58]i4[12] ≥ 0∧0 = 0∧[(-1)bso_59] ≥ 0)

  • COND_LOAD25971ARR20(TRUE, java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9213))) → INC33515(java.lang.Object(ARRAY(i4, a51946data)), +(i7309, 1), i7399)
    • ((UIncreasing(INC33515(java.lang.Object(ARRAY(i4[13], a51946data[13])), +(i7309[13], 1), i7399[13])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_61] ≥ 0)

  • LOAD25971(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399) → LOAD25971ARR21(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9214)))
    • ((UIncreasing(LOAD25971ARR21(java.lang.Object(ARRAY(i4[14], a51946data[14])), i7309[14], i7399[14], java.lang.Object(java.lang.String(i9214[14])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_63] ≥ 0)

  • LOAD25971ARR21(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9214))) → COND_LOAD25971ARR21(&&(&&(&&(&&(<=(i9214, 0), >(i7309, 0)), <(i7309, i4)), >(i7399, 0)), >(+(i7309, 1), 0)), java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9214)))
    • ([1] + i7309[15] ≥ 0∧i7399[15] ≥ 0∧i4[15] ≥ 0∧i9214[15] ≥ 0∧i7309[15] ≥ 0 ⇒ (UIncreasing(COND_LOAD25971ARR21(&&(&&(&&(&&(<=(i9214[15], 0), >(i7309[15], 0)), <(i7309[15], i4[15])), >(i7399[15], 0)), >(+(i7309[15], 1), 0)), java.lang.Object(ARRAY(i4[15], a51946data[15])), i7309[15], i7399[15], java.lang.Object(java.lang.String(i9214[15])))), ≥)∧0 = 0∧[(-1)bni_64 + (-1)Bound*bni_64] + [bni_64]i7399[15] + [bni_64]i4[15] ≥ 0∧0 = 0∧[(-1)bso_65] ≥ 0)

  • COND_LOAD25971ARR21(TRUE, java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9214))) → INC33515(java.lang.Object(ARRAY(i4, a51946data)), +(i7309, 1), i7399)
    • ((UIncreasing(INC33515(java.lang.Object(ARRAY(i4[16], a51946data[16])), +(i7309[16], 1), i7399[16])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_67] ≥ 0)

  • LOAD25971(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399) → LOAD25971ARR24(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9214)))
    • ((UIncreasing(LOAD25971ARR24(java.lang.Object(ARRAY(i4[17], a51946data[17])), i7309[17], i7399[17], java.lang.Object(java.lang.String(i9214[17])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_69] ≥ 0)

  • LOAD25971ARR24(java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9214))) → COND_LOAD25971ARR24(&&(&&(&&(&&(<=(i9214, 0), >(i7309, 0)), <(i7309, i4)), >(i7399, 0)), >(+(i7309, 1), 0)), java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9214)))
    • ([1] + i7309[18] ≥ 0∧i7399[18] ≥ 0∧i4[18] ≥ 0∧i9214[18] ≥ 0∧i7309[18] ≥ 0 ⇒ (UIncreasing(COND_LOAD25971ARR24(&&(&&(&&(&&(<=(i9214[18], 0), >(i7309[18], 0)), <(i7309[18], i4[18])), >(i7399[18], 0)), >(+(i7309[18], 1), 0)), java.lang.Object(ARRAY(i4[18], a51946data[18])), i7309[18], i7399[18], java.lang.Object(java.lang.String(i9214[18])))), ≥)∧0 = 0∧[(-1)bni_70 + (-1)Bound*bni_70] + [bni_70]i7399[18] + [bni_70]i4[18] ≥ 0∧0 = 0∧[(-1)bso_71] ≥ 0)

  • COND_LOAD25971ARR24(TRUE, java.lang.Object(ARRAY(i4, a51946data)), i7309, i7399, java.lang.Object(java.lang.String(i9214))) → JMP33402'(java.lang.Object(ARRAY(i4, a51946data)), +(i7309, 1), i7399)
    • ((UIncreasing(JMP33402'(java.lang.Object(ARRAY(i4[19], a51946data[19])), +(i7309[19], 1), i7399[19])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_73] ≥ 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(LOAD25971(x1, x2, x3)) = [-1] + x3 + [-1]x1 + [-1]x2   
POL(java.lang.Object(x1)) = x1   
POL(ARRAY(x1, x2)) = [2] + [-1]x1   
POL(LOAD25971ARR17(x1, x2, x3, x4)) = [-1] + x3 + [-1]x1 + [-1]x2   
POL(java.lang.String(x1)) = x1   
POL(COND_LOAD25971ARR17(x1, x2, x3, x4, x5)) = [-1] + x4 + [-1]x2 + [-1]x3   
POL(&&(x1, x2)) = [-1]   
POL(>(x1, x2)) = [-1]   
POL(0) = 0   
POL(<(x1, x2)) = [-1]   
POL(+(x1, x2)) = x1 + x2   
POL(1) = [1]   
POL(JMP33402'(x1, x2, x3)) = [-1] + [-1]x2 + x3 + [-1]x1   
POL(INC33515(x1, x2, x3)) = [-1] + [-1]x1 + x3 + [-1]x2   
POL(-1) = [-1]   
POL(LOAD25971ARR18(x1, x2, x3, x4)) = [-1] + x3 + [-1]x1 + [-1]x2   
POL(COND_LOAD25971ARR18(x1, x2, x3, x4, x5)) = [-1] + x4 + [-1]x2 + [-1]x3   
POL(<=(x1, x2)) = [-1]   
POL(LOAD25971ARR19(x1, x2, x3, x4)) = [-1] + x3 + [-1]x1 + [-1]x2   
POL(COND_LOAD25971ARR19(x1, x2, x3, x4, x5)) = [-1] + x4 + [-1]x2 + [-1]x3   
POL(LOAD25971ARR20(x1, x2, x3, x4)) = [-1] + x3 + [-1]x2 + [-1]x1   
POL(COND_LOAD25971ARR20(x1, x2, x3, x4, x5)) = [-1] + x4 + [-1]x3 + [-1]x2   
POL(LOAD25971ARR21(x1, x2, x3, x4)) = [-1] + x3 + [-1]x2 + [-1]x1   
POL(COND_LOAD25971ARR21(x1, x2, x3, x4, x5)) = [-1] + x4 + [-1]x3 + [-1]x2   
POL(LOAD25971ARR24(x1, x2, x3, x4)) = [-1] + x3 + [-1]x2 + [-1]x1   
POL(COND_LOAD25971ARR24(x1, x2, x3, x4, x5)) = [-1] + x4 + [-1]x3 + [-1]x2   

The following pairs are in P>:

COND_LOAD25971ARR17(TRUE, java.lang.Object(ARRAY(i4[2], a51946data[2])), i7309[2], i7399[2], java.lang.Object(java.lang.String(i9213[2]))) → JMP33402'(java.lang.Object(ARRAY(i4[2], a51946data[2])), +(i7309[2], 1), i7399[2])
INC33515(java.lang.Object(ARRAY(i4[3], a51946data[3])), i8081[3], i7399[3]) → LOAD25971(java.lang.Object(ARRAY(i4[3], a51946data[3])), i8081[3], +(i7399[3], -1))
COND_LOAD25971ARR18(TRUE, java.lang.Object(ARRAY(i4[6], a51946data[6])), i7309[6], i7399[6], java.lang.Object(java.lang.String(i9214[6]))) → LOAD25971(java.lang.Object(ARRAY(i4[6], a51946data[6])), +(i7309[6], 1), +(i7399[6], -1))
COND_LOAD25971ARR19(TRUE, java.lang.Object(ARRAY(i4[9], a51946data[9])), i7309[9], i7399[9], java.lang.Object(java.lang.String(i9213[9]))) → LOAD25971(java.lang.Object(ARRAY(i4[9], a51946data[9])), +(i7309[9], 1), +(i7399[9], -1))
COND_LOAD25971ARR20(TRUE, java.lang.Object(ARRAY(i4[13], a51946data[13])), i7309[13], i7399[13], java.lang.Object(java.lang.String(i9213[13]))) → INC33515(java.lang.Object(ARRAY(i4[13], a51946data[13])), +(i7309[13], 1), i7399[13])
COND_LOAD25971ARR21(TRUE, java.lang.Object(ARRAY(i4[16], a51946data[16])), i7309[16], i7399[16], java.lang.Object(java.lang.String(i9214[16]))) → INC33515(java.lang.Object(ARRAY(i4[16], a51946data[16])), +(i7309[16], 1), i7399[16])
COND_LOAD25971ARR24(TRUE, java.lang.Object(ARRAY(i4[19], a51946data[19])), i7309[19], i7399[19], java.lang.Object(java.lang.String(i9214[19]))) → JMP33402'(java.lang.Object(ARRAY(i4[19], a51946data[19])), +(i7309[19], 1), i7399[19])

The following pairs are in Pbound:

LOAD25971ARR17(java.lang.Object(ARRAY(i4[1], a51946data[1])), i7309[1], i7399[1], java.lang.Object(java.lang.String(i9213[1]))) → COND_LOAD25971ARR17(&&(&&(&&(&&(>(i9213[1], 0), >(i7309[1], 0)), <(i7309[1], i4[1])), >(i7399[1], 0)), >(+(i7309[1], 1), 0)), java.lang.Object(ARRAY(i4[1], a51946data[1])), i7309[1], i7399[1], java.lang.Object(java.lang.String(i9213[1])))
LOAD25971ARR18(java.lang.Object(ARRAY(i4[5], a51946data[5])), i7309[5], i7399[5], java.lang.Object(java.lang.String(i9214[5]))) → COND_LOAD25971ARR18(&&(&&(&&(&&(<=(i9214[5], 0), >(i7309[5], 0)), <(i7309[5], i4[5])), >(i7399[5], 0)), >(+(i7309[5], 1), 0)), java.lang.Object(ARRAY(i4[5], a51946data[5])), i7309[5], i7399[5], java.lang.Object(java.lang.String(i9214[5])))
LOAD25971ARR19(java.lang.Object(ARRAY(i4[8], a51946data[8])), i7309[8], i7399[8], java.lang.Object(java.lang.String(i9213[8]))) → COND_LOAD25971ARR19(&&(&&(&&(&&(>(i9213[8], 0), >(i7309[8], 0)), <(i7309[8], i4[8])), >(i7399[8], 0)), >(+(i7309[8], 1), 0)), java.lang.Object(ARRAY(i4[8], a51946data[8])), i7309[8], i7399[8], java.lang.Object(java.lang.String(i9213[8])))
LOAD25971ARR20(java.lang.Object(ARRAY(i4[12], a51946data[12])), i7309[12], i7399[12], java.lang.Object(java.lang.String(i9213[12]))) → COND_LOAD25971ARR20(&&(&&(&&(&&(>(i9213[12], 0), >(i7309[12], 0)), <(i7309[12], i4[12])), >(i7399[12], 0)), >(+(i7309[12], 1), 0)), java.lang.Object(ARRAY(i4[12], a51946data[12])), i7309[12], i7399[12], java.lang.Object(java.lang.String(i9213[12])))
LOAD25971ARR21(java.lang.Object(ARRAY(i4[15], a51946data[15])), i7309[15], i7399[15], java.lang.Object(java.lang.String(i9214[15]))) → COND_LOAD25971ARR21(&&(&&(&&(&&(<=(i9214[15], 0), >(i7309[15], 0)), <(i7309[15], i4[15])), >(i7399[15], 0)), >(+(i7309[15], 1), 0)), java.lang.Object(ARRAY(i4[15], a51946data[15])), i7309[15], i7399[15], java.lang.Object(java.lang.String(i9214[15])))
LOAD25971ARR24(java.lang.Object(ARRAY(i4[18], a51946data[18])), i7309[18], i7399[18], java.lang.Object(java.lang.String(i9214[18]))) → COND_LOAD25971ARR24(&&(&&(&&(&&(<=(i9214[18], 0), >(i7309[18], 0)), <(i7309[18], i4[18])), >(i7399[18], 0)), >(+(i7309[18], 1), 0)), java.lang.Object(ARRAY(i4[18], a51946data[18])), i7309[18], i7399[18], java.lang.Object(java.lang.String(i9214[18])))

The following pairs are in P≥:

LOAD25971(java.lang.Object(ARRAY(i4[0], a51946data[0])), i7309[0], i7399[0]) → LOAD25971ARR17(java.lang.Object(ARRAY(i4[0], a51946data[0])), i7309[0], i7399[0], java.lang.Object(java.lang.String(i9213[0])))
LOAD25971ARR17(java.lang.Object(ARRAY(i4[1], a51946data[1])), i7309[1], i7399[1], java.lang.Object(java.lang.String(i9213[1]))) → COND_LOAD25971ARR17(&&(&&(&&(&&(>(i9213[1], 0), >(i7309[1], 0)), <(i7309[1], i4[1])), >(i7399[1], 0)), >(+(i7309[1], 1), 0)), java.lang.Object(ARRAY(i4[1], a51946data[1])), i7309[1], i7399[1], java.lang.Object(java.lang.String(i9213[1])))
LOAD25971(java.lang.Object(ARRAY(i4[4], a51946data[4])), i7309[4], i7399[4]) → LOAD25971ARR18(java.lang.Object(ARRAY(i4[4], a51946data[4])), i7309[4], i7399[4], java.lang.Object(java.lang.String(i9214[4])))
LOAD25971ARR18(java.lang.Object(ARRAY(i4[5], a51946data[5])), i7309[5], i7399[5], java.lang.Object(java.lang.String(i9214[5]))) → COND_LOAD25971ARR18(&&(&&(&&(&&(<=(i9214[5], 0), >(i7309[5], 0)), <(i7309[5], i4[5])), >(i7399[5], 0)), >(+(i7309[5], 1), 0)), java.lang.Object(ARRAY(i4[5], a51946data[5])), i7309[5], i7399[5], java.lang.Object(java.lang.String(i9214[5])))
LOAD25971(java.lang.Object(ARRAY(i4[7], a51946data[7])), i7309[7], i7399[7]) → LOAD25971ARR19(java.lang.Object(ARRAY(i4[7], a51946data[7])), i7309[7], i7399[7], java.lang.Object(java.lang.String(i9213[7])))
LOAD25971ARR19(java.lang.Object(ARRAY(i4[8], a51946data[8])), i7309[8], i7399[8], java.lang.Object(java.lang.String(i9213[8]))) → COND_LOAD25971ARR19(&&(&&(&&(&&(>(i9213[8], 0), >(i7309[8], 0)), <(i7309[8], i4[8])), >(i7399[8], 0)), >(+(i7309[8], 1), 0)), java.lang.Object(ARRAY(i4[8], a51946data[8])), i7309[8], i7399[8], java.lang.Object(java.lang.String(i9213[8])))
JMP33402'(java.lang.Object(ARRAY(i4[10], a51946data[10])), i8081[10], i7399[10]) → INC33515(java.lang.Object(ARRAY(i4[10], a51946data[10])), i8081[10], i7399[10])
LOAD25971(java.lang.Object(ARRAY(i4[11], a51946data[11])), i7309[11], i7399[11]) → LOAD25971ARR20(java.lang.Object(ARRAY(i4[11], a51946data[11])), i7309[11], i7399[11], java.lang.Object(java.lang.String(i9213[11])))
LOAD25971ARR20(java.lang.Object(ARRAY(i4[12], a51946data[12])), i7309[12], i7399[12], java.lang.Object(java.lang.String(i9213[12]))) → COND_LOAD25971ARR20(&&(&&(&&(&&(>(i9213[12], 0), >(i7309[12], 0)), <(i7309[12], i4[12])), >(i7399[12], 0)), >(+(i7309[12], 1), 0)), java.lang.Object(ARRAY(i4[12], a51946data[12])), i7309[12], i7399[12], java.lang.Object(java.lang.String(i9213[12])))
LOAD25971(java.lang.Object(ARRAY(i4[14], a51946data[14])), i7309[14], i7399[14]) → LOAD25971ARR21(java.lang.Object(ARRAY(i4[14], a51946data[14])), i7309[14], i7399[14], java.lang.Object(java.lang.String(i9214[14])))
LOAD25971ARR21(java.lang.Object(ARRAY(i4[15], a51946data[15])), i7309[15], i7399[15], java.lang.Object(java.lang.String(i9214[15]))) → COND_LOAD25971ARR21(&&(&&(&&(&&(<=(i9214[15], 0), >(i7309[15], 0)), <(i7309[15], i4[15])), >(i7399[15], 0)), >(+(i7309[15], 1), 0)), java.lang.Object(ARRAY(i4[15], a51946data[15])), i7309[15], i7399[15], java.lang.Object(java.lang.String(i9214[15])))
LOAD25971(java.lang.Object(ARRAY(i4[17], a51946data[17])), i7309[17], i7399[17]) → LOAD25971ARR24(java.lang.Object(ARRAY(i4[17], a51946data[17])), i7309[17], i7399[17], java.lang.Object(java.lang.String(i9214[17])))
LOAD25971ARR24(java.lang.Object(ARRAY(i4[18], a51946data[18])), i7309[18], i7399[18], java.lang.Object(java.lang.String(i9214[18]))) → COND_LOAD25971ARR24(&&(&&(&&(&&(<=(i9214[18], 0), >(i7309[18], 0)), <(i7309[18], i4[18])), >(i7399[18], 0)), >(+(i7309[18], 1), 0)), java.lang.Object(ARRAY(i4[18], a51946data[18])), i7309[18], i7399[18], java.lang.Object(java.lang.String(i9214[18])))

There are no usable rules.

(74) Complex Obligation (AND)

(75) Obligation:

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


The following domains are used:

Boolean, Integer


R is empty.

The integer pair graph contains the following rules and edges:
(0): LOAD25971(java.lang.Object(ARRAY(i4[0], a51946data[0])), i7309[0], i7399[0]) → LOAD25971ARR17(java.lang.Object(ARRAY(i4[0], a51946data[0])), i7309[0], i7399[0], java.lang.Object(java.lang.String(i9213[0])))
(1): LOAD25971ARR17(java.lang.Object(ARRAY(i4[1], a51946data[1])), i7309[1], i7399[1], java.lang.Object(java.lang.String(i9213[1]))) → COND_LOAD25971ARR17(i9213[1] > 0 && i7309[1] > 0 && i7309[1] < i4[1] && i7399[1] > 0 && i7309[1] + 1 > 0, java.lang.Object(ARRAY(i4[1], a51946data[1])), i7309[1], i7399[1], java.lang.Object(java.lang.String(i9213[1])))
(4): LOAD25971(java.lang.Object(ARRAY(i4[4], a51946data[4])), i7309[4], i7399[4]) → LOAD25971ARR18(java.lang.Object(ARRAY(i4[4], a51946data[4])), i7309[4], i7399[4], java.lang.Object(java.lang.String(i9214[4])))
(5): LOAD25971ARR18(java.lang.Object(ARRAY(i4[5], a51946data[5])), i7309[5], i7399[5], java.lang.Object(java.lang.String(i9214[5]))) → COND_LOAD25971ARR18(i9214[5] <= 0 && i7309[5] > 0 && i7309[5] < i4[5] && i7399[5] > 0 && i7309[5] + 1 > 0, java.lang.Object(ARRAY(i4[5], a51946data[5])), i7309[5], i7399[5], java.lang.Object(java.lang.String(i9214[5])))
(7): LOAD25971(java.lang.Object(ARRAY(i4[7], a51946data[7])), i7309[7], i7399[7]) → LOAD25971ARR19(java.lang.Object(ARRAY(i4[7], a51946data[7])), i7309[7], i7399[7], java.lang.Object(java.lang.String(i9213[7])))
(8): LOAD25971ARR19(java.lang.Object(ARRAY(i4[8], a51946data[8])), i7309[8], i7399[8], java.lang.Object(java.lang.String(i9213[8]))) → COND_LOAD25971ARR19(i9213[8] > 0 && i7309[8] > 0 && i7309[8] < i4[8] && i7399[8] > 0 && i7309[8] + 1 > 0, java.lang.Object(ARRAY(i4[8], a51946data[8])), i7309[8], i7399[8], java.lang.Object(java.lang.String(i9213[8])))
(10): JMP33402'(java.lang.Object(ARRAY(i4[10], a51946data[10])), i8081[10], i7399[10]) → INC33515(java.lang.Object(ARRAY(i4[10], a51946data[10])), i8081[10], i7399[10])
(11): LOAD25971(java.lang.Object(ARRAY(i4[11], a51946data[11])), i7309[11], i7399[11]) → LOAD25971ARR20(java.lang.Object(ARRAY(i4[11], a51946data[11])), i7309[11], i7399[11], java.lang.Object(java.lang.String(i9213[11])))
(12): LOAD25971ARR20(java.lang.Object(ARRAY(i4[12], a51946data[12])), i7309[12], i7399[12], java.lang.Object(java.lang.String(i9213[12]))) → COND_LOAD25971ARR20(i9213[12] > 0 && i7309[12] > 0 && i7309[12] < i4[12] && i7399[12] > 0 && i7309[12] + 1 > 0, java.lang.Object(ARRAY(i4[12], a51946data[12])), i7309[12], i7399[12], java.lang.Object(java.lang.String(i9213[12])))
(14): LOAD25971(java.lang.Object(ARRAY(i4[14], a51946data[14])), i7309[14], i7399[14]) → LOAD25971ARR21(java.lang.Object(ARRAY(i4[14], a51946data[14])), i7309[14], i7399[14], java.lang.Object(java.lang.String(i9214[14])))
(15): LOAD25971ARR21(java.lang.Object(ARRAY(i4[15], a51946data[15])), i7309[15], i7399[15], java.lang.Object(java.lang.String(i9214[15]))) → COND_LOAD25971ARR21(i9214[15] <= 0 && i7309[15] > 0 && i7309[15] < i4[15] && i7399[15] > 0 && i7309[15] + 1 > 0, java.lang.Object(ARRAY(i4[15], a51946data[15])), i7309[15], i7399[15], java.lang.Object(java.lang.String(i9214[15])))
(17): LOAD25971(java.lang.Object(ARRAY(i4[17], a51946data[17])), i7309[17], i7399[17]) → LOAD25971ARR24(java.lang.Object(ARRAY(i4[17], a51946data[17])), i7309[17], i7399[17], java.lang.Object(java.lang.String(i9214[17])))
(18): LOAD25971ARR24(java.lang.Object(ARRAY(i4[18], a51946data[18])), i7309[18], i7399[18], java.lang.Object(java.lang.String(i9214[18]))) → COND_LOAD25971ARR24(i9214[18] <= 0 && i7309[18] > 0 && i7309[18] < i4[18] && i7399[18] > 0 && i7309[18] + 1 > 0, java.lang.Object(ARRAY(i4[18], a51946data[18])), i7309[18], i7399[18], java.lang.Object(java.lang.String(i9214[18])))

(0) -> (1), if ((i7399[0] →* i7399[1])∧((i4[0] →* i4[1])∧(a51946data[0] →* a51946data[1]))∧((i9213[0] →* i9213[1]))∧(i7309[0] →* i7309[1]))


(4) -> (5), if ((i7309[4] →* i7309[5])∧((i9214[4] →* i9214[5]))∧(i7399[4] →* i7399[5])∧((i4[4] →* i4[5])∧(a51946data[4] →* a51946data[5])))


(7) -> (8), if (((i9213[7] →* i9213[8]))∧(i7309[7] →* i7309[8])∧(i7399[7] →* i7399[8])∧((i4[7] →* i4[8])∧(a51946data[7] →* a51946data[8])))


(11) -> (12), if (((i4[11] →* i4[12])∧(a51946data[11] →* a51946data[12]))∧(i7399[11] →* i7399[12])∧((i9213[11] →* i9213[12]))∧(i7309[11] →* i7309[12]))


(14) -> (15), if ((i7309[14] →* i7309[15])∧((i9214[14] →* i9214[15]))∧((i4[14] →* i4[15])∧(a51946data[14] →* a51946data[15]))∧(i7399[14] →* i7399[15]))


(17) -> (18), if (((i9214[17] →* i9214[18]))∧(i7399[17] →* i7399[18])∧((i4[17] →* i4[18])∧(a51946data[17] →* a51946data[18]))∧(i7309[17] →* i7309[18]))



The set Q consists of the following terms:
Load25971(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load25971ARR17(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load25971ARR17(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Inc33515(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load25971ARR18(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load25971ARR18(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Load25971ARR19(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load25971ARR19(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
JMP33402(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load25971ARR20(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load25971ARR20(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Load25971ARR21(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load25971ARR21(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Load25971ARR24(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load25971ARR24(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))

(76) IDependencyGraphProof (EQUIVALENT transformation)

The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 0 SCCs with 13 less nodes.

(77) TRUE

(78) 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): LOAD25971(java.lang.Object(ARRAY(i4[0], a51946data[0])), i7309[0], i7399[0]) → LOAD25971ARR17(java.lang.Object(ARRAY(i4[0], a51946data[0])), i7309[0], i7399[0], java.lang.Object(java.lang.String(i9213[0])))
(2): COND_LOAD25971ARR17(TRUE, java.lang.Object(ARRAY(i4[2], a51946data[2])), i7309[2], i7399[2], java.lang.Object(java.lang.String(i9213[2]))) → JMP33402'(java.lang.Object(ARRAY(i4[2], a51946data[2])), i7309[2] + 1, i7399[2])
(3): INC33515(java.lang.Object(ARRAY(i4[3], a51946data[3])), i8081[3], i7399[3]) → LOAD25971(java.lang.Object(ARRAY(i4[3], a51946data[3])), i8081[3], i7399[3] + -1)
(4): LOAD25971(java.lang.Object(ARRAY(i4[4], a51946data[4])), i7309[4], i7399[4]) → LOAD25971ARR18(java.lang.Object(ARRAY(i4[4], a51946data[4])), i7309[4], i7399[4], java.lang.Object(java.lang.String(i9214[4])))
(6): COND_LOAD25971ARR18(TRUE, java.lang.Object(ARRAY(i4[6], a51946data[6])), i7309[6], i7399[6], java.lang.Object(java.lang.String(i9214[6]))) → LOAD25971(java.lang.Object(ARRAY(i4[6], a51946data[6])), i7309[6] + 1, i7399[6] + -1)
(7): LOAD25971(java.lang.Object(ARRAY(i4[7], a51946data[7])), i7309[7], i7399[7]) → LOAD25971ARR19(java.lang.Object(ARRAY(i4[7], a51946data[7])), i7309[7], i7399[7], java.lang.Object(java.lang.String(i9213[7])))
(9): COND_LOAD25971ARR19(TRUE, java.lang.Object(ARRAY(i4[9], a51946data[9])), i7309[9], i7399[9], java.lang.Object(java.lang.String(i9213[9]))) → LOAD25971(java.lang.Object(ARRAY(i4[9], a51946data[9])), i7309[9] + 1, i7399[9] + -1)
(10): JMP33402'(java.lang.Object(ARRAY(i4[10], a51946data[10])), i8081[10], i7399[10]) → INC33515(java.lang.Object(ARRAY(i4[10], a51946data[10])), i8081[10], i7399[10])
(11): LOAD25971(java.lang.Object(ARRAY(i4[11], a51946data[11])), i7309[11], i7399[11]) → LOAD25971ARR20(java.lang.Object(ARRAY(i4[11], a51946data[11])), i7309[11], i7399[11], java.lang.Object(java.lang.String(i9213[11])))
(13): COND_LOAD25971ARR20(TRUE, java.lang.Object(ARRAY(i4[13], a51946data[13])), i7309[13], i7399[13], java.lang.Object(java.lang.String(i9213[13]))) → INC33515(java.lang.Object(ARRAY(i4[13], a51946data[13])), i7309[13] + 1, i7399[13])
(14): LOAD25971(java.lang.Object(ARRAY(i4[14], a51946data[14])), i7309[14], i7399[14]) → LOAD25971ARR21(java.lang.Object(ARRAY(i4[14], a51946data[14])), i7309[14], i7399[14], java.lang.Object(java.lang.String(i9214[14])))
(16): COND_LOAD25971ARR21(TRUE, java.lang.Object(ARRAY(i4[16], a51946data[16])), i7309[16], i7399[16], java.lang.Object(java.lang.String(i9214[16]))) → INC33515(java.lang.Object(ARRAY(i4[16], a51946data[16])), i7309[16] + 1, i7399[16])
(17): LOAD25971(java.lang.Object(ARRAY(i4[17], a51946data[17])), i7309[17], i7399[17]) → LOAD25971ARR24(java.lang.Object(ARRAY(i4[17], a51946data[17])), i7309[17], i7399[17], java.lang.Object(java.lang.String(i9214[17])))
(19): COND_LOAD25971ARR24(TRUE, java.lang.Object(ARRAY(i4[19], a51946data[19])), i7309[19], i7399[19], java.lang.Object(java.lang.String(i9214[19]))) → JMP33402'(java.lang.Object(ARRAY(i4[19], a51946data[19])), i7309[19] + 1, i7399[19])

(3) -> (0), if ((i7399[3] + -1 →* i7399[0])∧(i8081[3] →* i7309[0])∧((i4[3] →* i4[0])∧(a51946data[3] →* a51946data[0])))


(6) -> (0), if ((i7399[6] + -1 →* i7399[0])∧(i7309[6] + 1 →* i7309[0])∧((i4[6] →* i4[0])∧(a51946data[6] →* a51946data[0])))


(9) -> (0), if (((i4[9] →* i4[0])∧(a51946data[9] →* a51946data[0]))∧(i7399[9] + -1 →* i7399[0])∧(i7309[9] + 1 →* i7309[0]))


(10) -> (3), if ((i8081[10] →* i8081[3])∧((i4[10] →* i4[3])∧(a51946data[10] →* a51946data[3]))∧(i7399[10] →* i7399[3]))


(13) -> (3), if ((i7309[13] + 1 →* i8081[3])∧((i4[13] →* i4[3])∧(a51946data[13] →* a51946data[3]))∧(i7399[13] →* i7399[3]))


(16) -> (3), if ((i7399[16] →* i7399[3])∧(i7309[16] + 1 →* i8081[3])∧((i4[16] →* i4[3])∧(a51946data[16] →* a51946data[3])))


(3) -> (4), if ((i7399[3] + -1 →* i7399[4])∧(i8081[3] →* i7309[4])∧((i4[3] →* i4[4])∧(a51946data[3] →* a51946data[4])))


(6) -> (4), if ((i7399[6] + -1 →* i7399[4])∧((i4[6] →* i4[4])∧(a51946data[6] →* a51946data[4]))∧(i7309[6] + 1 →* i7309[4]))


(9) -> (4), if ((i7309[9] + 1 →* i7309[4])∧((i4[9] →* i4[4])∧(a51946data[9] →* a51946data[4]))∧(i7399[9] + -1 →* i7399[4]))


(3) -> (7), if ((i7399[3] + -1 →* i7399[7])∧(i8081[3] →* i7309[7])∧((i4[3] →* i4[7])∧(a51946data[3] →* a51946data[7])))


(6) -> (7), if ((i7399[6] + -1 →* i7399[7])∧(i7309[6] + 1 →* i7309[7])∧((i4[6] →* i4[7])∧(a51946data[6] →* a51946data[7])))


(9) -> (7), if (((i4[9] →* i4[7])∧(a51946data[9] →* a51946data[7]))∧(i7399[9] + -1 →* i7399[7])∧(i7309[9] + 1 →* i7309[7]))


(2) -> (10), if (((i4[2] →* i4[10])∧(a51946data[2] →* a51946data[10]))∧(i7399[2] →* i7399[10])∧(i7309[2] + 1 →* i8081[10]))


(19) -> (10), if ((i7309[19] + 1 →* i8081[10])∧((i4[19] →* i4[10])∧(a51946data[19] →* a51946data[10]))∧(i7399[19] →* i7399[10]))


(3) -> (11), if ((i7399[3] + -1 →* i7399[11])∧(i8081[3] →* i7309[11])∧((i4[3] →* i4[11])∧(a51946data[3] →* a51946data[11])))


(6) -> (11), if ((i7399[6] + -1 →* i7399[11])∧(i7309[6] + 1 →* i7309[11])∧((i4[6] →* i4[11])∧(a51946data[6] →* a51946data[11])))


(9) -> (11), if ((i7399[9] + -1 →* i7399[11])∧((i4[9] →* i4[11])∧(a51946data[9] →* a51946data[11]))∧(i7309[9] + 1 →* i7309[11]))


(3) -> (14), if ((i7399[3] + -1 →* i7399[14])∧(i8081[3] →* i7309[14])∧((i4[3] →* i4[14])∧(a51946data[3] →* a51946data[14])))


(6) -> (14), if ((i7399[6] + -1 →* i7399[14])∧((i4[6] →* i4[14])∧(a51946data[6] →* a51946data[14]))∧(i7309[6] + 1 →* i7309[14]))


(9) -> (14), if (((i4[9] →* i4[14])∧(a51946data[9] →* a51946data[14]))∧(i7399[9] + -1 →* i7399[14])∧(i7309[9] + 1 →* i7309[14]))


(3) -> (17), if (((i4[3] →* i4[17])∧(a51946data[3] →* a51946data[17]))∧(i7399[3] + -1 →* i7399[17])∧(i8081[3] →* i7309[17]))


(6) -> (17), if (((i4[6] →* i4[17])∧(a51946data[6] →* a51946data[17]))∧(i7309[6] + 1 →* i7309[17])∧(i7399[6] + -1 →* i7399[17]))


(9) -> (17), if ((i7309[9] + 1 →* i7309[17])∧(i7399[9] + -1 →* i7399[17])∧((i4[9] →* i4[17])∧(a51946data[9] →* a51946data[17])))



The set Q consists of the following terms:
Load25971(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load25971ARR17(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load25971ARR17(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Inc33515(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load25971ARR18(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load25971ARR18(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Load25971ARR19(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load25971ARR19(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
JMP33402(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load25971ARR20(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load25971ARR20(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Load25971ARR21(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load25971ARR21(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Load25971ARR24(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))
Cond_Load25971ARR24(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))

(79) IDependencyGraphProof (EQUIVALENT transformation)

The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 0 SCCs with 14 less nodes.

(80) TRUE