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(