### (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

### (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, 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:
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)
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, 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:
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)
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, 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:

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)
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)
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:

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)
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:

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)
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:

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)
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.

### (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:

Tree(x1, x2) → Tree
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)
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)
Cond_Load49897ARR3(x1, x2, x3, x4, x5, x6, x7) → Cond_Load49897ARR3(x1, x2, x3, x4, x7)
Cond_Load49897ARR4(x1, x2, x3, x4, x5, x6, x7) → Cond_Load49897ARR4(x1, x2, x3, x4, x7)
Cond_Load49897ARR5(x1, x2, x3, x4, x5, x6) → Cond_Load49897ARR5(x1, x2, x3, x4, x6)
JMP55436(x1, x2, x3, x4) → JMP55436(x1, x2, x3)
Cond_Load49897ARR6(x1, x2, x3, x4, x5, x6, x7) → Cond_Load49897ARR6(x1, x2, x3, x4, x7)
Cond_Load49897ARR7(x1, x2, x3, x4, x5, x6) → Cond_Load49897ARR7(x1, x2, x3, x4, x6)
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:
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)
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)
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)
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)
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)
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)
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)
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:
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)
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)
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)
Cond_Load49897ARR4(TRUE, 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)
Cond_Load49897ARR6(TRUE, 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)))
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:

### (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:
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)
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)
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)
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)
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)
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:
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)
Cond_Load49897ARR2(TRUE, 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)
Cond_Load49897ARR4(TRUE, 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)))
Cond_Load49897ARR8(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4)))

### (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:
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)
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)
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)
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)
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)
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:
(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)
(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])
(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])
(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])

(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:
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)
Cond_Load49897ARR2(TRUE, 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)
Cond_Load49897ARR4(TRUE, 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)))
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:
(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)
(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])
(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])
(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])

(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:
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)
Cond_Load49897ARR2(TRUE, 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)
Cond_Load49897ARR4(TRUE, 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)))
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:
(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)
(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])
(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])
(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])

(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:
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)
Cond_Load49897ARR2(TRUE, 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)
Cond_Load49897ARR4(TRUE, 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)))
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:

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))=TRUELOAD49897ARR1(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)=TRUELOAD49897ARR1(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:

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))=TRUEi24804[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)=TRUELOAD49897ARR2(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:

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))=TRUELOAD49897ARR3(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)=TRUELOAD49897ARR3(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:

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))=TRUEi24782[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)=TRUELOAD49897ARR4(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:

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))=TRUEi25649[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)=TRUELOAD49897ARR5(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:

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))=TRUEi24804[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)=TRUELOAD49897ARR8(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.
• ((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)

• ((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)

• ((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)

• ((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)

• ((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)

• ((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])))
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])))

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:

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])
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.

### (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:
(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])
(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:
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)
Cond_Load49897ARR2(TRUE, 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)
Cond_Load49897ARR4(TRUE, 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)))
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.

### (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:
(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)
(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)
(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])
(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])
(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])
(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:
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)
Cond_Load49897ARR2(TRUE, 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)
Cond_Load49897ARR4(TRUE, 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)))
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.

### (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)))