The time complexity of the given JBC problem could be proven to be BOUNDS(CONSTANT, 80 + 25 * |args| + 32 * |args|^2).

(0) Obligation:

Need to prove time_complexity of the following program:

/**
 * Example taken from "A Term Rewriting Approach to the Automated Termination
 * Analysis of Imperative Programs" (http://www.cs.unm.edu/~spf/papers/2009-02.pdf)
 * and converted to Java.
 */

public class PastaC1 {
    public static void main(String[] args) {
        Random.args = args;
        int x = Random.random();

		while (x >= 0) {
			int y = 1;
			while (x > y) {
				y = 2*y;
			}
			x--;
		}
    }
}


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

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

(1) JBCToGraph (BOTH CONCRETE BOUNDS(ID, ID) transformation)

Constructed TerminationGraph.

(2) Obligation:

Termination Graph based on JBC Program:
PastaC1.main([Ljava/lang/String;)V: Graph of 121 nodes with 1 SCC.

(3) TerminationGraphToComplexityProof (BOTH CONCRETE BOUNDS(ID, ADD(47)) transformation)

Extracted set of 71 edges for the analysis of TIME complexity. Dropped leaves.

(4) Obligation:

Set of 71 edges based on JBC Program.
Performed SCC analyses:

• Used field analysis yielded the following read fields:
  

Considered paths: all paths from start

(5) JBCGraphEdgesToCpxIntTrsProof (CONCRETE UPPER BOUND(ID) transformation)

Transformed 71 jbc graph edges to a weighted ITS with 71 rules.
Used simplified encoding of division and modulo.
Filtered conditions with variables that do not depend on the variables on the lhs or rhs without taking transitive dependencies into account.
Filtered fields of type java.lang.Object.
Did no encode lower bounds for putfield and astore.

(6) Obligation:

IntTrs with 71 rules
Start term: main_Load_2(args, env, static)
Considered paths: all paths from start
Rules:
main_Load_2(o2, env, static) -{0,0}> main_Load_3(o2, env, static) :|: 0 < o2
main_Load_3(o2, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_6(o2, env, static) :|: 0 < o2
langle_clinit_rangle_ConstantStackPush_6(o2, env, static) -{1,1}> langle_clinit_rangle_ArrayCreate_14(iconst_0, o2, env, static) :|: 0 < o2 && iconst_0 = 0
langle_clinit_rangle_ArrayCreate_14(iconst_0, o2, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_16(a2, o2, iconst_0, env, static) :|: a2 = 2 && 0 < o2 && iconst_0 = 0 && 0 < a2
langle_clinit_rangle_FieldAccess_16(a2, o2, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_17(o2, env, static') :|: 0 <= a2 && 0 < o2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2
langle_clinit_rangle_New_17(o2, env, static) -{0,0}> langle_clinit_rangle_New_19(o2, env, static) :|: 0 < o2
langle_clinit_rangle_New_19(o2, env, static) -{0,0}> langle_clinit_rangle_New_20(o2, env, static) :|: 0 < o2 && 0 <= static
langle_clinit_rangle_New_20(o2, env, static) -{1,1}> langle_clinit_rangle_Duplicate_22(o4, o2, env, static) :|: o4 = 1 && 0 < o2 && 0 < o4
langle_clinit_rangle_Duplicate_22(o4, o2, env, static) -{1,1}> langle_clinit_rangle_ConstantStackPush_24(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_clinit_rangle_ConstantStackPush_24(o4, o2, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_26(o4, NULL, o2, env, static) :|: NULL = 0 && 0 < o2 && 0 < o4
langle_clinit_rangle_InvokeMethod_26(o4, NULL, o2, env, static) -{1,1}> langle_init_rangle_Load_27(o4, o2, env, static) :|: NULL = 0 && 0 < o2 && 0 < o4
langle_init_rangle_Load_27(o4, o2, env, static) -{1,1}> langle_init_rangle_InvokeMethod_30(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_InvokeMethod_30(o4, o2, env, static) -{1,1}> langle_init_rangle_Load_31(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Load_31(o4, o2, env, static) -{1,1}> langle_init_rangle_InvokeMethod_33(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_InvokeMethod_33(o4, o2, env, static) -{1,1}> langle_init_rangle_Return_34(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Return_34(o4, o2, env, static) -{1,1}> langle_init_rangle_Return_35(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Return_35(o4, o2, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_36(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_clinit_rangle_FieldAccess_36(o4, o2, env, static) -{1,1}> langle_clinit_rangle_Return_37(o2, env, static') :|: 0 < o2 && 0 <= o4 && 0 < o4 && 0 <= static && static' <= static + o4
langle_clinit_rangle_Return_37(o2, env, static) -{1,1}> main_Load_41(o2, env, static) :|: 0 < o2
main_Load_41(o2, env, static) -{0,0}> main_Load_42(o2, env, static) :|: 0 < o2
main_Load_42(o2, env, static) -{0,0}> main_Load_43(o2, env, static) :|: 0 < o2 && 0 <= static
main_Load_43(o2, env, static) -{0,0}> main_Load_44(o2, env, static) :|: 0 < o2
main_Load_44(o2, env, static) -{0,0}> main_Load_45(o2, env, static) :|: 0 < o2
main_Load_45(o2, env, static) -{1,1}> main_FieldAccess_46(o2, env, static) :|: 0 < o2
main_FieldAccess_46(o2, env, static) -{0,0}> main_FieldAccess_47(o2, env, static) :|: 0 < o2
main_FieldAccess_47(o2, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_48(o2, NULL, iconst_0, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
langle_clinit_rangle_ConstantStackPush_48(o2, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_50(iconst_0, o2, NULL, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
langle_clinit_rangle_FieldAccess_50(iconst_0, o2, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_52(o2, NULL, iconst_0, env, static') :|: NULL = 0 && 0 < o2 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0
langle_clinit_rangle_Return_52(o2, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_53(o2, NULL, iconst_0, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
main_FieldAccess_53(o2, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_55(o2, iconst_0, env, static') :|: NULL = 0 && 0 < o2 && 0 <= o2 && iconst_0 = 0 && 0 <= static && static' <= static + o2
main_InvokeMethod_55(o2, iconst_0, env, static) -{1,1}> random_FieldAccess_56(o2, iconst_0, env, static) :|: 0 < o2 && iconst_0 = 0
random_FieldAccess_56(o2, iconst_0, env, static) -{1,1}> random_FieldAccess_59(o2, iconst_0, env, static) :|: 0 < o2 && o2 <= static && 0 <= o2 && iconst_0 = 0 && 0 <= static
random_FieldAccess_59(o2, iconst_0, env, static) -{1,1}> random_ArrayAccess_68(o2, iconst_0, env, static) :|: 0 < o2 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static
random_ArrayAccess_68(a6, iconst_0, env, static) -{0,0}> random_ArrayAccess_69(a6, iconst_0, i4, env, static) :|: 0 <= i4 && iconst_0 = 0 && 0 < a6 && i4 < a6
random_ArrayAccess_69(a6, iconst_0, i5, env, static) -{0,0}> random_ArrayAccess_73(a6, iconst_0, i5, env, static) :|: iconst_0 = 0 && 0 < a6 && 0 <= i5 && 1 <= i5
random_ArrayAccess_73(a6, iconst_0, i5, env, static) -{1,1}> random_Store_78(o8, a6, iconst_0, i5, env, static) :|: 0 <= o8 && o8 < a6 && iconst_0 = 0 && 0 < a6 && 1 <= i5
random_Store_78(o8, a6, iconst_0, i5, env, static) -{1,1}> random_FieldAccess_80(o8, a6, iconst_0, i5, env, static) :|: 0 <= o8 && iconst_0 = 0 && 0 < a6 && 1 <= i5
random_FieldAccess_80(o8, a6, iconst_0, i5, env, static) -{1,1}> random_ConstantStackPush_85(iconst_0, o8, a6, i5, env, static) :|: 0 <= o8 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && 0 < a6 && iconst_0 <= static && 1 <= i5
random_ConstantStackPush_85(iconst_0, o8, a6, i5, env, static) -{1,1}> random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i5, env, static) :|: 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 1 <= i5
random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i5, env, static) -{1,1}> random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i5, env, static) :|: 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 1 <= i5
random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i5, env, static) -{1,1}> random_Load_94(o8, a6, iconst_1, i5, env, static') :|: 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 <= static && 0 < a6 && static' <= static + iconst_1 && 1 <= i5
random_Load_94(o8, a6, iconst_1, i5, env, static) -{1,1}> random_InvokeMethod_100(o8, a6, iconst_1, i5, env, static) :|: 0 <= o8 && iconst_1 = 1 && 0 < a6 && 1 <= i5
random_InvokeMethod_100(o12, a6, iconst_1, i5, env, static) -{0,0}> random_InvokeMethod_102(o12, a6, iconst_1, i5, env, static) :|: 0 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6 && 1 <= i5
random_InvokeMethod_102(o12, a6, iconst_1, i5, env, static) -{1,1}> random_Return_107(i8, a6, iconst_1, i5, env, static) :|: i8 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
random_Return_107(i8, a6, iconst_1, i5, env, static) -{1,1}> main_Store_113(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
main_Store_113(a6, i8, iconst_1, i5, env, static) -{1,1}> main_Load_117(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
main_Load_117(a6, i8, iconst_1, i5, env, static) -{0,0}> main_Load_304(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && -1 <= i8 && 0 < a6 && 0 <= i8 && 1 <= i5
main_Load_304(a30, i32, iconst_1, i5, env, static) -{0,0}> main_Load_443(a30, i32, iconst_1, i5, env, static) :|: -1 <= i32 && iconst_1 = 1 && 0 < a30 && 1 <= i5
main_Load_443(a67, i66, iconst_1, i5, env, static) -{1,1}> main_LT_445(a67, i66, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a67 && 1 <= i5
main_LT_445(a67, i73, iconst_1, i5, env, static) -{0,0}> main_LT_447(a67, i73, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a67 && 1 <= i5 && 0 <= i73
main_LT_447(a67, i73, iconst_1, i5, env, static) -{1,1}> main_ConstantStackPush_449(a67, i73, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a67 && 1 <= i5 && 0 <= i73
main_ConstantStackPush_449(a67, i73, iconst_1, i5, env, static) -{1,1}> main_Store_451(a67, iconst_1, i73, i5, env, static) :|: iconst_1 = 1 && 0 < a67 && 1 <= i5 && 0 <= i73
main_Store_451(a67, iconst_1, i73, i5, env, static) -{1,1}> main_Load_452(a67, i73, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a67 && 1 <= i5 && 0 <= i73
main_Load_452(a67, i73, iconst_1, i5, env, static) -{0,0}> main_Load_496(a67, i73, iconst_1, iconst_1, i5, env, static) :|: iconst_1 <= 2 && 1 <= iconst_1 && iconst_1 = 1 && 0 < a67 && 1 <= i5 && 0 <= i73
main_Load_496(a77, i84, i85, iconst_1, i5, env, static) -{0,0}> main_Load_535(a77, i84, i85, iconst_1, i5, env, static) :|: i85 <= 4 && i85 <= 2 && 1 <= i85 && iconst_1 = 1 && 0 < a77 && 1 <= i5
main_Load_535(a87, i95, i96, iconst_1, i5, env, static) -{0,0}> main_Load_571(a87, i95, i96, iconst_1, i5, env, static) :|: i96 <= 4 && iconst_1 = 1 && 0 < a87 && 1 <= i96 && 1 <= i5
main_Load_571(a97, i105, i106, iconst_1, i5, env, static) -{1,1}> main_Load_574(a97, i105, i106, iconst_1, i5, env, static) :|: 1 <= i106 && iconst_1 = 1 && 0 < a97 && 1 <= i5
main_Load_574(a97, i105, i106, iconst_1, i5, env, static) -{1,1}> main_LE_582(a97, i105, i106, iconst_1, i5, env, static) :|: 1 <= i106 && iconst_1 = 1 && 0 < a97 && 1 <= i5
main_LE_582(a97, i105, i106, iconst_1, i5, env, static) -{0,0}> main_LE_591(a97, i105, i106, iconst_1, i5, env, static) :|: 1 <= i106 && i105 <= i106 && iconst_1 = 1 && 0 < a97 && 1 <= i5
main_LE_582(a97, i105, i106, iconst_1, i5, env, static) -{0,0}> main_LE_592(a97, i105, i106, iconst_1, i5, env, static) :|: 1 <= i106 && iconst_1 = 1 && i106 < i105 && 0 < a97 && 1 <= i5
main_LE_591(a97, i105, i106, iconst_1, i5, env, static) -{1,1}> main_Inc_597(a97, i105, iconst_1, i5, env, static) :|: 1 <= i106 && i105 <= i106 && iconst_1 = 1 && 0 < a97 && 1 <= i5
main_LE_592(a97, i105, i106, iconst_1, i5, env, static) -{1,1}> main_ConstantStackPush_601(a97, i105, i106, iconst_1, i5, env, static) :|: 1 <= i106 && iconst_1 = 1 && 2 <= i105 && i106 < i105 && 0 < a97 && 1 <= i5
main_Inc_597(a97, i105, iconst_1, i5, env, static) -{1,1}> main_JMP_603(a97, i110, iconst_1, i5, env, static) :|: iconst_1 = 1 && i105 + -1 = i110 && 0 < a97 && 1 <= i5
main_ConstantStackPush_601(a97, i105, i106, iconst_1, i5, env, static) -{1,1}> main_Load_607(a97, iconst_2, i105, i106, iconst_1, i5, env, static) :|: 1 <= i106 && iconst_1 = 1 && 2 <= i105 && 0 < a97 && iconst_2 = 2 && 1 <= i5
main_JMP_603(a97, i110, iconst_1, i5, env, static) -{1,1}> main_Load_609(a97, i110, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a97 && 1 <= i5
main_Load_607(a97, iconst_2, i105, i106, iconst_1, i5, env, static) -{1,1}> main_IntArithmetic_610(a97, iconst_2, i106, i105, iconst_1, i5, env, static) :|: 1 <= i106 && iconst_1 = 1 && 2 <= i105 && 0 < a97 && iconst_2 = 2 && 1 <= i5
main_Load_609(a97, i110, iconst_1, i5, env, static) -{0,0}> main_Load_443(a97, i110, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a97 && 1 <= i5
main_IntArithmetic_610(a97, iconst_2, i106, i105, iconst_1, i5, env, static) -{1,1}> main_Store_612(a97, i112, i105, iconst_1, i5, env, static) :|: 1 <= i106 && iconst_1 = 1 && 2 <= i105 && 2 <= i112 && iconst_2 * i106 = i112 && 0 < a97 && iconst_2 = 2 && 1 <= i5
main_Store_612(a97, i112, i105, iconst_1, i5, env, static) -{1,1}> main_JMP_617(a97, i105, i112, iconst_1, i5, env, static) :|: iconst_1 = 1 && 2 <= i105 && 2 <= i112 && 0 < a97 && 1 <= i5
main_JMP_617(a97, i105, i112, iconst_1, i5, env, static) -{1,1}> main_Load_618(a97, i105, i112, iconst_1, i5, env, static) :|: iconst_1 = 1 && 2 <= i105 && 2 <= i112 && 0 < a97 && 1 <= i5
main_Load_618(a97, i105, i112, iconst_1, i5, env, static) -{0,0}> main_Load_571(a97, i105, i112, iconst_1, i5, env, static) :|: 1 <= i112 && iconst_1 = 1 && 2 <= i105 && 2 <= i112 && 0 < a97 && 1 <= i5

(7) StraightLineCodeCompressionProof (BOTH CONCRETE BOUNDS(ID, ID) transformation)

obtained
main_Load_2(o2, env, static) -{33,33}> main_Load_443(o2, i8', 1, i4', env, static'4) :|: i4' < o2 && 1 <= i4' && static'3 <= static'2 + o2 && 0 < o2 && static'2 <= static'1 + 0 && -1 <= i8' && 0 <= 2 && o8' < o2 && i8' <= o8' && 0 < o8' && 0 <= o2 && -1 * static'3 <= 0 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && 0 <= static && 0 <= static'3 && 0 < 1 && 0 <= o8' && 0 < 2 && static'4 <= static'3 + 1 && 0 <= i8' && 0 <= i4' && 0 <= 1
by chaining
main_Load_2(o2, env, static) -{0,0}> main_Load_3(o2, env, static) :|: 0 < o2
main_Load_3(o2, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_6(o2, env, static) :|: 0 < o2
langle_clinit_rangle_ConstantStackPush_6(o2, env, static) -{1,1}> langle_clinit_rangle_ArrayCreate_14(iconst_0, o2, env, static) :|: 0 < o2 && iconst_0 = 0
langle_clinit_rangle_ArrayCreate_14(iconst_0, o2, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_16(a2, o2, iconst_0, env, static) :|: a2 = 2 && 0 < o2 && iconst_0 = 0 && 0 < a2
langle_clinit_rangle_FieldAccess_16(a2, o2, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_17(o2, env, static') :|: 0 <= a2 && 0 < o2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2
langle_clinit_rangle_New_17(o2, env, static) -{0,0}> langle_clinit_rangle_New_19(o2, env, static) :|: 0 < o2
langle_clinit_rangle_New_19(o2, env, static) -{0,0}> langle_clinit_rangle_New_20(o2, env, static) :|: 0 < o2 && 0 <= static
langle_clinit_rangle_New_20(o2, env, static) -{1,1}> langle_clinit_rangle_Duplicate_22(o4, o2, env, static) :|: o4 = 1 && 0 < o2 && 0 < o4
langle_clinit_rangle_Duplicate_22(o4, o2, env, static) -{1,1}> langle_clinit_rangle_ConstantStackPush_24(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_clinit_rangle_ConstantStackPush_24(o4, o2, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_26(o4, NULL, o2, env, static) :|: NULL = 0 && 0 < o2 && 0 < o4
langle_clinit_rangle_InvokeMethod_26(o4, NULL, o2, env, static) -{1,1}> langle_init_rangle_Load_27(o4, o2, env, static) :|: NULL = 0 && 0 < o2 && 0 < o4
langle_init_rangle_Load_27(o4, o2, env, static) -{1,1}> langle_init_rangle_InvokeMethod_30(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_InvokeMethod_30(o4, o2, env, static) -{1,1}> langle_init_rangle_Load_31(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Load_31(o4, o2, env, static) -{1,1}> langle_init_rangle_InvokeMethod_33(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_InvokeMethod_33(o4, o2, env, static) -{1,1}> langle_init_rangle_Return_34(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Return_34(o4, o2, env, static) -{1,1}> langle_init_rangle_Return_35(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Return_35(o4, o2, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_36(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_clinit_rangle_FieldAccess_36(o4, o2, env, static) -{1,1}> langle_clinit_rangle_Return_37(o2, env, static') :|: 0 < o2 && 0 <= o4 && 0 < o4 && 0 <= static && static' <= static + o4
langle_clinit_rangle_Return_37(o2, env, static) -{1,1}> main_Load_41(o2, env, static) :|: 0 < o2
main_Load_41(o2, env, static) -{0,0}> main_Load_42(o2, env, static) :|: 0 < o2
main_Load_42(o2, env, static) -{0,0}> main_Load_43(o2, env, static) :|: 0 < o2 && 0 <= static
main_Load_43(o2, env, static) -{0,0}> main_Load_44(o2, env, static) :|: 0 < o2
main_Load_44(o2, env, static) -{0,0}> main_Load_45(o2, env, static) :|: 0 < o2
main_Load_45(o2, env, static) -{1,1}> main_FieldAccess_46(o2, env, static) :|: 0 < o2
main_FieldAccess_46(o2, env, static) -{0,0}> main_FieldAccess_47(o2, env, static) :|: 0 < o2
main_FieldAccess_47(o2, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_48(o2, NULL, iconst_0, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
langle_clinit_rangle_ConstantStackPush_48(o2, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_50(iconst_0, o2, NULL, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
langle_clinit_rangle_FieldAccess_50(iconst_0, o2, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_52(o2, NULL, iconst_0, env, static') :|: NULL = 0 && 0 < o2 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0
langle_clinit_rangle_Return_52(o2, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_53(o2, NULL, iconst_0, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
main_FieldAccess_53(o2, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_55(o2, iconst_0, env, static') :|: NULL = 0 && 0 < o2 && 0 <= o2 && iconst_0 = 0 && 0 <= static && static' <= static + o2
main_InvokeMethod_55(o2, iconst_0, env, static) -{1,1}> random_FieldAccess_56(o2, iconst_0, env, static) :|: 0 < o2 && iconst_0 = 0
random_FieldAccess_56(o2, iconst_0, env, static) -{1,1}> random_FieldAccess_59(o2, iconst_0, env, static) :|: 0 < o2 && o2 <= static && 0 <= o2 && iconst_0 = 0 && 0 <= static
random_FieldAccess_59(o2, iconst_0, env, static) -{1,1}> random_ArrayAccess_68(o2, iconst_0, env, static) :|: 0 < o2 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static
random_ArrayAccess_68(a6, iconst_0, env, static) -{0,0}> random_ArrayAccess_69(a6, iconst_0, i4, env, static) :|: 0 <= i4 && iconst_0 = 0 && 0 < a6 && i4 < a6
random_ArrayAccess_69(a6, iconst_0, i5, env, static) -{0,0}> random_ArrayAccess_73(a6, iconst_0, i5, env, static) :|: iconst_0 = 0 && 0 < a6 && 0 <= i5 && 1 <= i5
random_ArrayAccess_73(a6, iconst_0, i5, env, static) -{1,1}> random_Store_78(o8, a6, iconst_0, i5, env, static) :|: 0 <= o8 && o8 < a6 && iconst_0 = 0 && 0 < a6 && 1 <= i5
random_Store_78(o8, a6, iconst_0, i5, env, static) -{1,1}> random_FieldAccess_80(o8, a6, iconst_0, i5, env, static) :|: 0 <= o8 && iconst_0 = 0 && 0 < a6 && 1 <= i5
random_FieldAccess_80(o8, a6, iconst_0, i5, env, static) -{1,1}> random_ConstantStackPush_85(iconst_0, o8, a6, i5, env, static) :|: 0 <= o8 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && 0 < a6 && iconst_0 <= static && 1 <= i5
random_ConstantStackPush_85(iconst_0, o8, a6, i5, env, static) -{1,1}> random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i5, env, static) :|: 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 1 <= i5
random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i5, env, static) -{1,1}> random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i5, env, static) :|: 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 1 <= i5
random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i5, env, static) -{1,1}> random_Load_94(o8, a6, iconst_1, i5, env, static') :|: 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 <= static && 0 < a6 && static' <= static + iconst_1 && 1 <= i5
random_Load_94(o8, a6, iconst_1, i5, env, static) -{1,1}> random_InvokeMethod_100(o8, a6, iconst_1, i5, env, static) :|: 0 <= o8 && iconst_1 = 1 && 0 < a6 && 1 <= i5
random_InvokeMethod_100(o12, a6, iconst_1, i5, env, static) -{0,0}> random_InvokeMethod_102(o12, a6, iconst_1, i5, env, static) :|: 0 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6 && 1 <= i5
random_InvokeMethod_102(o12, a6, iconst_1, i5, env, static) -{1,1}> random_Return_107(i8, a6, iconst_1, i5, env, static) :|: i8 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
random_Return_107(i8, a6, iconst_1, i5, env, static) -{1,1}> main_Store_113(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
main_Store_113(a6, i8, iconst_1, i5, env, static) -{1,1}> main_Load_117(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
main_Load_117(a6, i8, iconst_1, i5, env, static) -{0,0}> main_Load_304(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && -1 <= i8 && 0 < a6 && 0 <= i8 && 1 <= i5
main_Load_304(a30, i32, iconst_1, i5, env, static) -{0,0}> main_Load_443(a30, i32, iconst_1, i5, env, static) :|: -1 <= i32 && iconst_1 = 1 && 0 < a30 && 1 <= i5

obtained
main_Load_443(a67, i66, 1, i5, env, static) -{4,4}> main_Load_571(a67, i66, 1, 1, i5, env, static) :|: 1 <= 4 && 1 <= i5 && 0 <= i66 && 1 <= 1 && 0 < a67 && 1 <= 2
by chaining
main_Load_443(a67, i66, iconst_1, i5, env, static) -{1,1}> main_LT_445(a67, i66, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a67 && 1 <= i5
main_LT_445(a67, i73, iconst_1, i5, env, static) -{0,0}> main_LT_447(a67, i73, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a67 && 1 <= i5 && 0 <= i73
main_LT_447(a67, i73, iconst_1, i5, env, static) -{1,1}> main_ConstantStackPush_449(a67, i73, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a67 && 1 <= i5 && 0 <= i73
main_ConstantStackPush_449(a67, i73, iconst_1, i5, env, static) -{1,1}> main_Store_451(a67, iconst_1, i73, i5, env, static) :|: iconst_1 = 1 && 0 < a67 && 1 <= i5 && 0 <= i73
main_Store_451(a67, iconst_1, i73, i5, env, static) -{1,1}> main_Load_452(a67, i73, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a67 && 1 <= i5 && 0 <= i73
main_Load_452(a67, i73, iconst_1, i5, env, static) -{0,0}> main_Load_496(a67, i73, iconst_1, iconst_1, i5, env, static) :|: iconst_1 <= 2 && 1 <= iconst_1 && iconst_1 = 1 && 0 < a67 && 1 <= i5 && 0 <= i73
main_Load_496(a77, i84, i85, iconst_1, i5, env, static) -{0,0}> main_Load_535(a77, i84, i85, iconst_1, i5, env, static) :|: i85 <= 4 && i85 <= 2 && 1 <= i85 && iconst_1 = 1 && 0 < a77 && 1 <= i5
main_Load_535(a87, i95, i96, iconst_1, i5, env, static) -{0,0}> main_Load_571(a87, i95, i96, iconst_1, i5, env, static) :|: i96 <= 4 && iconst_1 = 1 && 0 < a87 && 1 <= i96 && 1 <= i5

obtained
main_Load_571(a97, i105, i106, 1, i5, env, static) -{2,2}> main_LE_582(a97, i105, i106, 1, i5, env, static) :|: 1 <= i5 && 0 < a97 && 1 <= i106
by chaining
main_Load_571(a97, i105, i106, iconst_1, i5, env, static) -{1,1}> main_Load_574(a97, i105, i106, iconst_1, i5, env, static) :|: 1 <= i106 && iconst_1 = 1 && 0 < a97 && 1 <= i5
main_Load_574(a97, i105, i106, iconst_1, i5, env, static) -{1,1}> main_LE_582(a97, i105, i106, iconst_1, i5, env, static) :|: 1 <= i106 && iconst_1 = 1 && 0 < a97 && 1 <= i5

obtained
main_LE_582(a97, i105, i106, 1, i5, env, static) -{6,6}> main_Load_571(a97, i105, i112', 1, i5, env, static) :|: 2 * i106 = i112' && 1 <= i5 && 2 <= i112' && 0 < a97 && i106 < i105 && 2 <= i105 && 1 <= i112' && 1 <= i106
by chaining
main_LE_582(a97, i105, i106, iconst_1, i5, env, static) -{0,0}> main_LE_592(a97, i105, i106, iconst_1, i5, env, static) :|: 1 <= i106 && iconst_1 = 1 && i106 < i105 && 0 < a97 && 1 <= i5
main_LE_592(a97, i105, i106, iconst_1, i5, env, static) -{1,1}> main_ConstantStackPush_601(a97, i105, i106, iconst_1, i5, env, static) :|: 1 <= i106 && iconst_1 = 1 && 2 <= i105 && i106 < i105 && 0 < a97 && 1 <= i5
main_ConstantStackPush_601(a97, i105, i106, iconst_1, i5, env, static) -{1,1}> main_Load_607(a97, iconst_2, i105, i106, iconst_1, i5, env, static) :|: 1 <= i106 && iconst_1 = 1 && 2 <= i105 && 0 < a97 && iconst_2 = 2 && 1 <= i5
main_Load_607(a97, iconst_2, i105, i106, iconst_1, i5, env, static) -{1,1}> main_IntArithmetic_610(a97, iconst_2, i106, i105, iconst_1, i5, env, static) :|: 1 <= i106 && iconst_1 = 1 && 2 <= i105 && 0 < a97 && iconst_2 = 2 && 1 <= i5
main_IntArithmetic_610(a97, iconst_2, i106, i105, iconst_1, i5, env, static) -{1,1}> main_Store_612(a97, i112, i105, iconst_1, i5, env, static) :|: 1 <= i106 && iconst_1 = 1 && 2 <= i105 && 2 <= i112 && iconst_2 * i106 = i112 && 0 < a97 && iconst_2 = 2 && 1 <= i5
main_Store_612(a97, i112, i105, iconst_1, i5, env, static) -{1,1}> main_JMP_617(a97, i105, i112, iconst_1, i5, env, static) :|: iconst_1 = 1 && 2 <= i105 && 2 <= i112 && 0 < a97 && 1 <= i5
main_JMP_617(a97, i105, i112, iconst_1, i5, env, static) -{1,1}> main_Load_618(a97, i105, i112, iconst_1, i5, env, static) :|: iconst_1 = 1 && 2 <= i105 && 2 <= i112 && 0 < a97 && 1 <= i5
main_Load_618(a97, i105, i112, iconst_1, i5, env, static) -{0,0}> main_Load_571(a97, i105, i112, iconst_1, i5, env, static) :|: 1 <= i112 && iconst_1 = 1 && 2 <= i105 && 2 <= i112 && 0 < a97 && 1 <= i5

obtained
main_LE_582(a97, i105, i106, 1, i5, env, static) -{3,3}> main_Load_443(a97, i110', 1, i5, env, static) :|: i105 <= i106 && 1 <= i5 && 1 <= i106 && 0 < a97 && i105 + -1 = i110'
by chaining
main_LE_582(a97, i105, i106, iconst_1, i5, env, static) -{0,0}> main_LE_591(a97, i105, i106, iconst_1, i5, env, static) :|: 1 <= i106 && i105 <= i106 && iconst_1 = 1 && 0 < a97 && 1 <= i5
main_LE_591(a97, i105, i106, iconst_1, i5, env, static) -{1,1}> main_Inc_597(a97, i105, iconst_1, i5, env, static) :|: 1 <= i106 && i105 <= i106 && iconst_1 = 1 && 0 < a97 && 1 <= i5
main_Inc_597(a97, i105, iconst_1, i5, env, static) -{1,1}> main_JMP_603(a97, i110, iconst_1, i5, env, static) :|: iconst_1 = 1 && i105 + -1 = i110 && 0 < a97 && 1 <= i5
main_JMP_603(a97, i110, iconst_1, i5, env, static) -{1,1}> main_Load_609(a97, i110, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a97 && 1 <= i5
main_Load_609(a97, i110, iconst_1, i5, env, static) -{0,0}> main_Load_443(a97, i110, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a97 && 1 <= i5

(8) Obligation:

IntTrs with 5 rules
Start term: main_Load_2(args, env, static)
Considered paths: all paths from start
Rules:
main_Load_2(o2, env, static) -{33,33}> main_Load_443(o2, i8', 1, i4', env, static'4) :|: i4' < o2 && 1 <= i4' && static'3 <= static'2 + o2 && 0 < o2 && static'2 <= static'1 + 0 && -1 <= i8' && 0 <= 2 && o8' < o2 && i8' <= o8' && 0 < o8' && 0 <= o2 && -1 * static'3 <= 0 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && 0 <= static && 0 <= static'3 && 0 < 1 && 0 <= o8' && 0 < 2 && static'4 <= static'3 + 1 && 0 <= i8' && 0 <= i4' && 0 <= 1
main_Load_443(a67, i66, 1, i5, env, static) -{4,4}> main_Load_571(a67, i66, 1, 1, i5, env, static) :|: 1 <= 4 && 1 <= i5 && 0 <= i66 && 1 <= 1 && 0 < a67 && 1 <= 2
main_Load_571(a97, i105, i106, 1, i5, env, static) -{2,2}> main_LE_582(a97, i105, i106, 1, i5, env, static) :|: 1 <= i5 && 0 < a97 && 1 <= i106
main_LE_582(a97, i105, i106, 1, i5, env, static) -{6,6}> main_Load_571(a97, i105, i112', 1, i5, env, static) :|: 2 * i106 = i112' && 1 <= i5 && 2 <= i112' && 0 < a97 && i106 < i105 && 2 <= i105 && 1 <= i112' && 1 <= i106
main_LE_582(a97, i105, i106, 1, i5, env, static) -{3,3}> main_Load_443(a97, i110', 1, i5, env, static) :|: i105 <= i106 && 1 <= i5 && 1 <= i106 && 0 < a97 && i105 + -1 = i110'

(9) WeightedIntTrsUnneededArgumentFilterProof (CONCRETE UPPER BOUND(ID) transformation)

Some arguments are removed because they cannot influence termination. We removed arguments according to the following replacements:

main_Load_2(x1, x2, x3) → main_Load_2(x1, x3)
main_Load_443(x1, x2, x3, x4, x5, x6) → main_Load_443(x1, x2, x4)
main_Load_571(x1, x2, x3, x4, x5, x6, x7) → main_Load_571(x1, x2, x3, x5)
main_LE_582(x1, x2, x3, x4, x5, x6, x7) → main_LE_582(x1, x2, x3, x5)

(10) Obligation:

IntTrs with 5 rules
Start term: main_Load_2(args, static)
Considered paths: all paths from start
Rules:
main_Load_2(o2, static) -{33,33}> main_Load_443(o2, i8', i4') :|: i4' < o2 && 1 <= i4' && static'3 <= static'2 + o2 && 0 < o2 && static'2 <= static'1 + 0 && -1 <= i8' && 0 <= 2 && o8' < o2 && i8' <= o8' && 0 < o8' && 0 <= o2 && -1 * static'3 <= 0 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && 0 <= static && 0 <= static'3 && 0 < 1 && 0 <= o8' && 0 < 2 && static'4 <= static'3 + 1 && 0 <= i8' && 0 <= i4' && 0 <= 1
main_Load_443(a67, i66, i5) -{4,4}> main_Load_571(a67, i66, 1, i5) :|: 1 <= 4 && 1 <= i5 && 0 <= i66 && 1 <= 1 && 0 < a67 && 1 <= 2
main_Load_571(a97, i105, i106, i5) -{2,2}> main_LE_582(a97, i105, i106, i5) :|: 1 <= i5 && 0 < a97 && 1 <= i106
main_LE_582(a97, i105, i106, i5) -{6,6}> main_Load_571(a97, i105, i112', i5) :|: 2 * i106 = i112' && 1 <= i5 && 2 <= i112' && 0 < a97 && i106 < i105 && 2 <= i105 && 1 <= i112' && 1 <= i106
main_LE_582(a97, i105, i106, i5) -{3,3}> main_Load_443(a97, i110', i5) :|: i105 <= i106 && 1 <= i5 && 1 <= i106 && 0 < a97 && i105 + -1 = i110'

(11) MovedArithmeticFromConstraintsProof (BOTH CONCRETE BOUNDS(ID, ID) transformation)

Moved arithmethic from constraints to rhss.

main_LE_582(a97, i105, i106, i5) -{3,3}> main_Load_443(a97, i110', i5) :|: i105 <= i106 && 1 <= i5 && 1 <= i106 && 0 < a97 && i105 + -1 = i110'
was transformed to
main_LE_582(a97, i105, i106, i5) -{3,3}> main_Load_443(a97, i105 + -1, i5) :|: i105 <= i106 && 1 <= i5 && 1 <= i106 && 0 < a97 && i105 + -1 = i110'

main_LE_582(a97, i105, i106, i5) -{6,6}> main_Load_571(a97, i105, i112', i5) :|: 2 * i106 = i112' && 1 <= i5 && 2 <= i112' && 0 < a97 && i106 < i105 && 2 <= i105 && 1 <= i112' && 1 <= i106
was transformed to
main_LE_582(a97, i105, i106, i5) -{6,6}> main_Load_571(a97, i105, 2 * i106, i5) :|: 2 * i106 = i112' && 1 <= i5 && 2 <= i112' && 0 < a97 && i106 < i105 && 2 <= i105 && 1 <= i112' && 1 <= i106

(12) Obligation:

IntTrs with 5 rules
Start term: main_Load_2(args, static)
Considered paths: all paths from start
Rules:
main_LE_582(a97, i105, i106, i5) -{3,3}> main_Load_443(a97, i105 + -1, i5) :|: i105 <= i106 && 1 <= i5 && 1 <= i106 && 0 < a97 && i105 + -1 = i110'
main_LE_582(a97, i105, i106, i5) -{6,6}> main_Load_571(a97, i105, 2 * i106, i5) :|: 2 * i106 = i112' && 1 <= i5 && 2 <= i112' && 0 < a97 && i106 < i105 && 2 <= i105 && 1 <= i112' && 1 <= i106
main_Load_2(o2, static) -{33,33}> main_Load_443(o2, i8', i4') :|: i4' < o2 && 1 <= i4' && static'3 <= static'2 + o2 && 0 < o2 && static'2 <= static'1 + 0 && -1 <= i8' && 0 <= 2 && o8' < o2 && i8' <= o8' && 0 < o8' && 0 <= o2 && -1 * static'3 <= 0 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && 0 <= static && 0 <= static'3 && 0 < 1 && 0 <= o8' && 0 < 2 && static'4 <= static'3 + 1 && 0 <= i8' && 0 <= i4' && 0 <= 1
main_Load_571(a97, i105, i106, i5) -{2,2}> main_LE_582(a97, i105, i106, i5) :|: 1 <= i5 && 0 < a97 && 1 <= i106
main_Load_443(a67, i66, i5) -{4,4}> main_Load_571(a67, i66, 1, i5) :|: 1 <= 4 && 1 <= i5 && 0 <= i66 && 1 <= 1 && 0 < a67 && 1 <= 2

(13) ExpressionSimplificationProof (BOTH CONCRETE BOUNDS(ID, ID) transformation)

Simplified expressions.

main_Load_2(o2, static) -{33,33}> main_Load_443(o2, i8', i4') :|: i4' < o2 && 1 <= i4' && static'3 <= static'2 + o2 && 0 < o2 && static'2 <= static'1 + 0 && -1 <= i8' && 0 <= 2 && o8' < o2 && i8' <= o8' && 0 < o8' && 0 <= o2 && -1 * static'3 <= 0 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && 0 <= static && 0 <= static'3 && 0 < 1 && 0 <= o8' && 0 < 2 && static'4 <= static'3 + 1 && 0 <= i8' && 0 <= i4' && 0 <= 1
was transformed to
main_Load_2(o2, static) -{33,33}> main_Load_443(o2, i8', i4') :|: i4' < o2 && 1 <= i4' && static'3 <= static'2 + o2 && 0 < o2 && static'2 <= static'1 && -1 <= i8' && o8' < o2 && i8' <= o8' && 0 < o8' && -1 * static'3 <= 0 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && 0 <= static && 0 <= static'3 && static'4 <= static'3 + 1 && 0 <= i8' && 0 <= i4'

main_LE_582(a97, i105, i106, i5) -{3,3}> main_Load_443(a97, i105 + -1, i5) :|: i105 <= i106 && 1 <= i5 && 1 <= i106 && 0 < a97 && i105 + -1 = i110'
was transformed to
main_LE_582(a97, i105, i106, i5) -{3,3}> main_Load_443(a97, i105 - 1, i5) :|: i105 <= i106 && 1 <= i5 && 1 <= i106 && 0 < a97 && i105 - 1 = i110'

main_Load_443(a67, i66, i5) -{4,4}> main_Load_571(a67, i66, 1, i5) :|: 1 <= 4 && 1 <= i5 && 0 <= i66 && 1 <= 1 && 0 < a67 && 1 <= 2
was transformed to
main_Load_443(a67, i66, i5) -{4,4}> main_Load_571(a67, i66, 1, i5) :|: 1 <= i5 && 0 <= i66 && 0 < a67

(14) Obligation:

IntTrs with 5 rules
Start term: main_Load_2(args, static)
Considered paths: all paths from start
Rules:
main_LE_582(a97, i105, i106, i5) -{6,6}> main_Load_571(a97, i105, 2 * i106, i5) :|: 2 * i106 = i112' && 1 <= i5 && 2 <= i112' && 0 < a97 && i106 < i105 && 2 <= i105 && 1 <= i112' && 1 <= i106
main_Load_2(o2, static) -{33,33}> main_Load_443(o2, i8', i4') :|: i4' < o2 && 1 <= i4' && static'3 <= static'2 + o2 && 0 < o2 && static'2 <= static'1 && -1 <= i8' && o8' < o2 && i8' <= o8' && 0 < o8' && -1 * static'3 <= 0 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && 0 <= static && 0 <= static'3 && static'4 <= static'3 + 1 && 0 <= i8' && 0 <= i4'
main_Load_443(a67, i66, i5) -{4,4}> main_Load_571(a67, i66, 1, i5) :|: 1 <= i5 && 0 <= i66 && 0 < a67
main_LE_582(a97, i105, i106, i5) -{3,3}> main_Load_443(a97, i105 - 1, i5) :|: i105 <= i106 && 1 <= i5 && 1 <= i106 && 0 < a97 && i105 - 1 = i110'
main_Load_571(a97, i105, i106, i5) -{2,2}> main_LE_582(a97, i105, i106, i5) :|: 1 <= i5 && 0 < a97 && 1 <= i106

(15) koat Proof (EQUIVALENT transformation)

YES(?, 32*ar_0^2 + 25*ar_0 + 33)

Initial complexity problem:
1: T:
(Comp: ?, Cost: 6) main_LE_582(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_571(ar_0, ar_1, 2*ar_2, ar_3)) [ 2*ar_2 = i112' /\ 1 <= ar_3 /\ 2 <= i112' /\ 0 < ar_0 /\ ar_2 < ar_1 /\ 2 <= ar_1 /\ 1 <= i112' /\ 1 <= ar_2 ]
(Comp: ?, Cost: 33) main_Load_2(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_443(ar_0, i8', i4', arityPad)) [ i4' < ar_0 /\ 1 <= i4' /\ static'3 <= static'2 + ar_0 /\ 0 < ar_0 /\ static'2 <= static'1 /\ -1 <= i8' /\ o8' < ar_0 /\ i8' <= o8' /\ 0 < o8' /\ -static'3 <= 0 /\ 0 <= static'2 /\ ar_0 <= static'3 /\ static'1 <= static''' + 1 /\ 0 <= static'1 /\ static''' <= ar_1 + 2 /\ 0 <= static''' /\ 0 <= ar_1 /\ 0 <= static'3 /\ static'4 <= static'3 + 1 /\ 0 <= i8' /\ 0 <= i4' ]
(Comp: ?, Cost: 4) main_Load_443(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_571(ar_0, ar_1, 1, ar_2)) [ 1 <= ar_2 /\ 0 <= ar_1 /\ 0 < ar_0 ]
(Comp: ?, Cost: 3) main_LE_582(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_443(ar_0, ar_1 - 1, ar_3, arityPad)) [ ar_1 <= ar_2 /\ 1 <= ar_3 /\ 1 <= ar_2 /\ 0 < ar_0 /\ ar_1 - 1 = i110' ]
(Comp: ?, Cost: 2) main_Load_571(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_LE_582(ar_0, ar_1, ar_2, ar_3)) [ 1 <= ar_3 /\ 0 < ar_0 /\ 1 <= ar_2 ]
(Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_2(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]
start location: koat_start
leaf cost: 0

Repeatedly propagating knowledge in problem 1 produces the following problem:
2: T:
(Comp: ?, Cost: 6) main_LE_582(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_571(ar_0, ar_1, 2*ar_2, ar_3)) [ 2*ar_2 = i112' /\ 1 <= ar_3 /\ 2 <= i112' /\ 0 < ar_0 /\ ar_2 < ar_1 /\ 2 <= ar_1 /\ 1 <= i112' /\ 1 <= ar_2 ]
(Comp: 1, Cost: 33) main_Load_2(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_443(ar_0, i8', i4', arityPad)) [ i4' < ar_0 /\ 1 <= i4' /\ static'3 <= static'2 + ar_0 /\ 0 < ar_0 /\ static'2 <= static'1 /\ -1 <= i8' /\ o8' < ar_0 /\ i8' <= o8' /\ 0 < o8' /\ -static'3 <= 0 /\ 0 <= static'2 /\ ar_0 <= static'3 /\ static'1 <= static''' + 1 /\ 0 <= static'1 /\ static''' <= ar_1 + 2 /\ 0 <= static''' /\ 0 <= ar_1 /\ 0 <= static'3 /\ static'4 <= static'3 + 1 /\ 0 <= i8' /\ 0 <= i4' ]
(Comp: ?, Cost: 4) main_Load_443(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_571(ar_0, ar_1, 1, ar_2)) [ 1 <= ar_2 /\ 0 <= ar_1 /\ 0 < ar_0 ]
(Comp: ?, Cost: 3) main_LE_582(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_443(ar_0, ar_1 - 1, ar_3, arityPad)) [ ar_1 <= ar_2 /\ 1 <= ar_3 /\ 1 <= ar_2 /\ 0 < ar_0 /\ ar_1 - 1 = i110' ]
(Comp: ?, Cost: 2) main_Load_571(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_LE_582(ar_0, ar_1, ar_2, ar_3)) [ 1 <= ar_3 /\ 0 < ar_0 /\ 1 <= ar_2 ]
(Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_2(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]
start location: koat_start
leaf cost: 0

A polynomial rank function with
Pol(main_LE_582) = V_2
Pol(main_Load_571) = V_2
Pol(main_Load_2) = V_1
Pol(main_Load_443) = V_2 + 1
Pol(koat_start) = V_1
orients all transitions weakly and the transition
main_Load_443(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_571(ar_0, ar_1, 1, ar_2)) [ 1 <= ar_2 /\ 0 <= ar_1 /\ 0 < ar_0 ]
strictly and produces the following problem:
3: T:
(Comp: ?, Cost: 6) main_LE_582(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_571(ar_0, ar_1, 2*ar_2, ar_3)) [ 2*ar_2 = i112' /\ 1 <= ar_3 /\ 2 <= i112' /\ 0 < ar_0 /\ ar_2 < ar_1 /\ 2 <= ar_1 /\ 1 <= i112' /\ 1 <= ar_2 ]
(Comp: 1, Cost: 33) main_Load_2(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_443(ar_0, i8', i4', arityPad)) [ i4' < ar_0 /\ 1 <= i4' /\ static'3 <= static'2 + ar_0 /\ 0 < ar_0 /\ static'2 <= static'1 /\ -1 <= i8' /\ o8' < ar_0 /\ i8' <= o8' /\ 0 < o8' /\ -static'3 <= 0 /\ 0 <= static'2 /\ ar_0 <= static'3 /\ static'1 <= static''' + 1 /\ 0 <= static'1 /\ static''' <= ar_1 + 2 /\ 0 <= static''' /\ 0 <= ar_1 /\ 0 <= static'3 /\ static'4 <= static'3 + 1 /\ 0 <= i8' /\ 0 <= i4' ]
(Comp: ar_0, Cost: 4) main_Load_443(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_571(ar_0, ar_1, 1, ar_2)) [ 1 <= ar_2 /\ 0 <= ar_1 /\ 0 < ar_0 ]
(Comp: ?, Cost: 3) main_LE_582(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_443(ar_0, ar_1 - 1, ar_3, arityPad)) [ ar_1 <= ar_2 /\ 1 <= ar_3 /\ 1 <= ar_2 /\ 0 < ar_0 /\ ar_1 - 1 = i110' ]
(Comp: ?, Cost: 2) main_Load_571(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_LE_582(ar_0, ar_1, ar_2, ar_3)) [ 1 <= ar_3 /\ 0 < ar_0 /\ 1 <= ar_2 ]
(Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_2(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]
start location: koat_start
leaf cost: 0

A polynomial rank function with
Pol(main_Load_571) = 1
Pol(main_LE_582) = 1
Pol(main_Load_443) = 0
and size complexities
S("koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_2(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]", 0-0) = ar_0
S("koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_2(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]", 0-1) = ar_1
S("koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_2(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]", 0-2) = ar_2
S("koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_2(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]", 0-3) = ar_3
S("main_Load_571(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_LE_582(ar_0, ar_1, ar_2, ar_3)) [ 1 <= ar_3 /\\ 0 < ar_0 /\\ 1 <= ar_2 ]", 0-0) = ar_0
S("main_Load_571(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_LE_582(ar_0, ar_1, ar_2, ar_3)) [ 1 <= ar_3 /\\ 0 < ar_0 /\\ 1 <= ar_2 ]", 0-1) = ?
S("main_Load_571(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_LE_582(ar_0, ar_1, ar_2, ar_3)) [ 1 <= ar_3 /\\ 0 < ar_0 /\\ 1 <= ar_2 ]", 0-2) = ?
S("main_Load_571(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_LE_582(ar_0, ar_1, ar_2, ar_3)) [ 1 <= ar_3 /\\ 0 < ar_0 /\\ 1 <= ar_2 ]", 0-3) = ar_0
S("main_LE_582(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_443(ar_0, ar_1 - 1, ar_3, arityPad)) [ ar_1 <= ar_2 /\\ 1 <= ar_3 /\\ 1 <= ar_2 /\\ 0 < ar_0 /\\ ar_1 - 1 = i110' ]", 0-0) = ar_0
S("main_LE_582(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_443(ar_0, ar_1 - 1, ar_3, arityPad)) [ ar_1 <= ar_2 /\\ 1 <= ar_3 /\\ 1 <= ar_2 /\\ 0 < ar_0 /\\ ar_1 - 1 = i110' ]", 0-1) = ?
S("main_LE_582(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_443(ar_0, ar_1 - 1, ar_3, arityPad)) [ ar_1 <= ar_2 /\\ 1 <= ar_3 /\\ 1 <= ar_2 /\\ 0 < ar_0 /\\ ar_1 - 1 = i110' ]", 0-2) = ar_0
S("main_LE_582(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_443(ar_0, ar_1 - 1, ar_3, arityPad)) [ ar_1 <= ar_2 /\\ 1 <= ar_3 /\\ 1 <= ar_2 /\\ 0 < ar_0 /\\ ar_1 - 1 = i110' ]", 0-3) = ?
S("main_Load_443(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_571(ar_0, ar_1, 1, ar_2)) [ 1 <= ar_2 /\\ 0 <= ar_1 /\\ 0 < ar_0 ]", 0-0) = ar_0
S("main_Load_443(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_571(ar_0, ar_1, 1, ar_2)) [ 1 <= ar_2 /\\ 0 <= ar_1 /\\ 0 < ar_0 ]", 0-1) = ?
S("main_Load_443(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_571(ar_0, ar_1, 1, ar_2)) [ 1 <= ar_2 /\\ 0 <= ar_1 /\\ 0 < ar_0 ]", 0-2) = 1
S("main_Load_443(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_571(ar_0, ar_1, 1, ar_2)) [ 1 <= ar_2 /\\ 0 <= ar_1 /\\ 0 < ar_0 ]", 0-3) = ar_0
S("main_Load_2(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_443(ar_0, i8', i4', arityPad)) [ i4' < ar_0 /\\ 1 <= i4' /\\ static'3 <= static'2 + ar_0 /\\ 0 < ar_0 /\\ static'2 <= static'1 /\\ -1 <= i8' /\\ o8' < ar_0 /\\ i8' <= o8' /\\ 0 < o8' /\\ -static'3 <= 0 /\\ 0 <= static'2 /\\ ar_0 <= static'3 /\\ static'1 <= static''' + 1 /\\ 0 <= static'1 /\\ static''' <= ar_1 + 2 /\\ 0 <= static''' /\\ 0 <= ar_1 /\\ 0 <= static'3 /\\ static'4 <= static'3 + 1 /\\ 0 <= i8' /\\ 0 <= i4' ]", 0-0) = ar_0
S("main_Load_2(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_443(ar_0, i8', i4', arityPad)) [ i4' < ar_0 /\\ 1 <= i4' /\\ static'3 <= static'2 + ar_0 /\\ 0 < ar_0 /\\ static'2 <= static'1 /\\ -1 <= i8' /\\ o8' < ar_0 /\\ i8' <= o8' /\\ 0 < o8' /\\ -static'3 <= 0 /\\ 0 <= static'2 /\\ ar_0 <= static'3 /\\ static'1 <= static''' + 1 /\\ 0 <= static'1 /\\ static''' <= ar_1 + 2 /\\ 0 <= static''' /\\ 0 <= ar_1 /\\ 0 <= static'3 /\\ static'4 <= static'3 + 1 /\\ 0 <= i8' /\\ 0 <= i4' ]", 0-1) = ar_0
S("main_Load_2(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_443(ar_0, i8', i4', arityPad)) [ i4' < ar_0 /\\ 1 <= i4' /\\ static'3 <= static'2 + ar_0 /\\ 0 < ar_0 /\\ static'2 <= static'1 /\\ -1 <= i8' /\\ o8' < ar_0 /\\ i8' <= o8' /\\ 0 < o8' /\\ -static'3 <= 0 /\\ 0 <= static'2 /\\ ar_0 <= static'3 /\\ static'1 <= static''' + 1 /\\ 0 <= static'1 /\\ static''' <= ar_1 + 2 /\\ 0 <= static''' /\\ 0 <= ar_1 /\\ 0 <= static'3 /\\ static'4 <= static'3 + 1 /\\ 0 <= i8' /\\ 0 <= i4' ]", 0-2) = ar_0
S("main_Load_2(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_443(ar_0, i8', i4', arityPad)) [ i4' < ar_0 /\\ 1 <= i4' /\\ static'3 <= static'2 + ar_0 /\\ 0 < ar_0 /\\ static'2 <= static'1 /\\ -1 <= i8' /\\ o8' < ar_0 /\\ i8' <= o8' /\\ 0 < o8' /\\ -static'3 <= 0 /\\ 0 <= static'2 /\\ ar_0 <= static'3 /\\ static'1 <= static''' + 1 /\\ 0 <= static'1 /\\ static''' <= ar_1 + 2 /\\ 0 <= static''' /\\ 0 <= ar_1 /\\ 0 <= static'3 /\\ static'4 <= static'3 + 1 /\\ 0 <= i8' /\\ 0 <= i4' ]", 0-3) = ?
S("main_LE_582(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_571(ar_0, ar_1, 2*ar_2, ar_3)) [ 2*ar_2 = i112' /\\ 1 <= ar_3 /\\ 2 <= i112' /\\ 0 < ar_0 /\\ ar_2 < ar_1 /\\ 2 <= ar_1 /\\ 1 <= i112' /\\ 1 <= ar_2 ]", 0-0) = ar_0
S("main_LE_582(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_571(ar_0, ar_1, 2*ar_2, ar_3)) [ 2*ar_2 = i112' /\\ 1 <= ar_3 /\\ 2 <= i112' /\\ 0 < ar_0 /\\ ar_2 < ar_1 /\\ 2 <= ar_1 /\\ 1 <= i112' /\\ 1 <= ar_2 ]", 0-1) = ?
S("main_LE_582(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_571(ar_0, ar_1, 2*ar_2, ar_3)) [ 2*ar_2 = i112' /\\ 1 <= ar_3 /\\ 2 <= i112' /\\ 0 < ar_0 /\\ ar_2 < ar_1 /\\ 2 <= ar_1 /\\ 1 <= i112' /\\ 1 <= ar_2 ]", 0-2) = ?
S("main_LE_582(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_571(ar_0, ar_1, 2*ar_2, ar_3)) [ 2*ar_2 = i112' /\\ 1 <= ar_3 /\\ 2 <= i112' /\\ 0 < ar_0 /\\ ar_2 < ar_1 /\\ 2 <= ar_1 /\\ 1 <= i112' /\\ 1 <= ar_2 ]", 0-3) = ar_0
orients the transitions
main_Load_571(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_LE_582(ar_0, ar_1, ar_2, ar_3)) [ 1 <= ar_3 /\ 0 < ar_0 /\ 1 <= ar_2 ]
main_LE_582(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_571(ar_0, ar_1, 2*ar_2, ar_3)) [ 2*ar_2 = i112' /\ 1 <= ar_3 /\ 2 <= i112' /\ 0 < ar_0 /\ ar_2 < ar_1 /\ 2 <= ar_1 /\ 1 <= i112' /\ 1 <= ar_2 ]
main_LE_582(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_443(ar_0, ar_1 - 1, ar_3, arityPad)) [ ar_1 <= ar_2 /\ 1 <= ar_3 /\ 1 <= ar_2 /\ 0 < ar_0 /\ ar_1 - 1 = i110' ]
weakly and the transition
main_LE_582(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_443(ar_0, ar_1 - 1, ar_3, arityPad)) [ ar_1 <= ar_2 /\ 1 <= ar_3 /\ 1 <= ar_2 /\ 0 < ar_0 /\ ar_1 - 1 = i110' ]
strictly and produces the following problem:
4: T:
(Comp: ?, Cost: 6) main_LE_582(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_571(ar_0, ar_1, 2*ar_2, ar_3)) [ 2*ar_2 = i112' /\ 1 <= ar_3 /\ 2 <= i112' /\ 0 < ar_0 /\ ar_2 < ar_1 /\ 2 <= ar_1 /\ 1 <= i112' /\ 1 <= ar_2 ]
(Comp: 1, Cost: 33) main_Load_2(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_443(ar_0, i8', i4', arityPad)) [ i4' < ar_0 /\ 1 <= i4' /\ static'3 <= static'2 + ar_0 /\ 0 < ar_0 /\ static'2 <= static'1 /\ -1 <= i8' /\ o8' < ar_0 /\ i8' <= o8' /\ 0 < o8' /\ -static'3 <= 0 /\ 0 <= static'2 /\ ar_0 <= static'3 /\ static'1 <= static''' + 1 /\ 0 <= static'1 /\ static''' <= ar_1 + 2 /\ 0 <= static''' /\ 0 <= ar_1 /\ 0 <= static'3 /\ static'4 <= static'3 + 1 /\ 0 <= i8' /\ 0 <= i4' ]
(Comp: ar_0, Cost: 4) main_Load_443(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_571(ar_0, ar_1, 1, ar_2)) [ 1 <= ar_2 /\ 0 <= ar_1 /\ 0 < ar_0 ]
(Comp: ar_0, Cost: 3) main_LE_582(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_443(ar_0, ar_1 - 1, ar_3, arityPad)) [ ar_1 <= ar_2 /\ 1 <= ar_3 /\ 1 <= ar_2 /\ 0 < ar_0 /\ ar_1 - 1 = i110' ]
(Comp: ?, Cost: 2) main_Load_571(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_LE_582(ar_0, ar_1, ar_2, ar_3)) [ 1 <= ar_3 /\ 0 < ar_0 /\ 1 <= ar_2 ]
(Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_2(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]
start location: koat_start
leaf cost: 0

A polynomial rank function with
Pol(main_Load_571) = 2*V_2 - 2*V_3
Pol(main_LE_582) = 2*V_2 - 2*V_3
and size complexities
S("koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_2(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]", 0-0) = ar_0
S("koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_2(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]", 0-1) = ar_1
S("koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_2(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]", 0-2) = ar_2
S("koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_2(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]", 0-3) = ar_3
S("main_Load_571(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_LE_582(ar_0, ar_1, ar_2, ar_3)) [ 1 <= ar_3 /\\ 0 < ar_0 /\\ 1 <= ar_2 ]", 0-0) = ar_0
S("main_Load_571(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_LE_582(ar_0, ar_1, ar_2, ar_3)) [ 1 <= ar_3 /\\ 0 < ar_0 /\\ 1 <= ar_2 ]", 0-1) = 2*ar_0
S("main_Load_571(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_LE_582(ar_0, ar_1, ar_2, ar_3)) [ 1 <= ar_3 /\\ 0 < ar_0 /\\ 1 <= ar_2 ]", 0-2) = ?
S("main_Load_571(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_LE_582(ar_0, ar_1, ar_2, ar_3)) [ 1 <= ar_3 /\\ 0 < ar_0 /\\ 1 <= ar_2 ]", 0-3) = ar_0
S("main_LE_582(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_443(ar_0, ar_1 - 1, ar_3, arityPad)) [ ar_1 <= ar_2 /\\ 1 <= ar_3 /\\ 1 <= ar_2 /\\ 0 < ar_0 /\\ ar_1 - 1 = i110' ]", 0-0) = ar_0
S("main_LE_582(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_443(ar_0, ar_1 - 1, ar_3, arityPad)) [ ar_1 <= ar_2 /\\ 1 <= ar_3 /\\ 1 <= ar_2 /\\ 0 < ar_0 /\\ ar_1 - 1 = i110' ]", 0-1) = 2*ar_0
S("main_LE_582(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_443(ar_0, ar_1 - 1, ar_3, arityPad)) [ ar_1 <= ar_2 /\\ 1 <= ar_3 /\\ 1 <= ar_2 /\\ 0 < ar_0 /\\ ar_1 - 1 = i110' ]", 0-2) = ar_0
S("main_LE_582(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_443(ar_0, ar_1 - 1, ar_3, arityPad)) [ ar_1 <= ar_2 /\\ 1 <= ar_3 /\\ 1 <= ar_2 /\\ 0 < ar_0 /\\ ar_1 - 1 = i110' ]", 0-3) = ?
S("main_Load_443(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_571(ar_0, ar_1, 1, ar_2)) [ 1 <= ar_2 /\\ 0 <= ar_1 /\\ 0 < ar_0 ]", 0-0) = ar_0
S("main_Load_443(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_571(ar_0, ar_1, 1, ar_2)) [ 1 <= ar_2 /\\ 0 <= ar_1 /\\ 0 < ar_0 ]", 0-1) = 2*ar_0
S("main_Load_443(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_571(ar_0, ar_1, 1, ar_2)) [ 1 <= ar_2 /\\ 0 <= ar_1 /\\ 0 < ar_0 ]", 0-2) = 1
S("main_Load_443(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_571(ar_0, ar_1, 1, ar_2)) [ 1 <= ar_2 /\\ 0 <= ar_1 /\\ 0 < ar_0 ]", 0-3) = ar_0
S("main_Load_2(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_443(ar_0, i8', i4', arityPad)) [ i4' < ar_0 /\\ 1 <= i4' /\\ static'3 <= static'2 + ar_0 /\\ 0 < ar_0 /\\ static'2 <= static'1 /\\ -1 <= i8' /\\ o8' < ar_0 /\\ i8' <= o8' /\\ 0 < o8' /\\ -static'3 <= 0 /\\ 0 <= static'2 /\\ ar_0 <= static'3 /\\ static'1 <= static''' + 1 /\\ 0 <= static'1 /\\ static''' <= ar_1 + 2 /\\ 0 <= static''' /\\ 0 <= ar_1 /\\ 0 <= static'3 /\\ static'4 <= static'3 + 1 /\\ 0 <= i8' /\\ 0 <= i4' ]", 0-0) = ar_0
S("main_Load_2(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_443(ar_0, i8', i4', arityPad)) [ i4' < ar_0 /\\ 1 <= i4' /\\ static'3 <= static'2 + ar_0 /\\ 0 < ar_0 /\\ static'2 <= static'1 /\\ -1 <= i8' /\\ o8' < ar_0 /\\ i8' <= o8' /\\ 0 < o8' /\\ -static'3 <= 0 /\\ 0 <= static'2 /\\ ar_0 <= static'3 /\\ static'1 <= static''' + 1 /\\ 0 <= static'1 /\\ static''' <= ar_1 + 2 /\\ 0 <= static''' /\\ 0 <= ar_1 /\\ 0 <= static'3 /\\ static'4 <= static'3 + 1 /\\ 0 <= i8' /\\ 0 <= i4' ]", 0-1) = ar_0
S("main_Load_2(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_443(ar_0, i8', i4', arityPad)) [ i4' < ar_0 /\\ 1 <= i4' /\\ static'3 <= static'2 + ar_0 /\\ 0 < ar_0 /\\ static'2 <= static'1 /\\ -1 <= i8' /\\ o8' < ar_0 /\\ i8' <= o8' /\\ 0 < o8' /\\ -static'3 <= 0 /\\ 0 <= static'2 /\\ ar_0 <= static'3 /\\ static'1 <= static''' + 1 /\\ 0 <= static'1 /\\ static''' <= ar_1 + 2 /\\ 0 <= static''' /\\ 0 <= ar_1 /\\ 0 <= static'3 /\\ static'4 <= static'3 + 1 /\\ 0 <= i8' /\\ 0 <= i4' ]", 0-2) = ar_0
S("main_Load_2(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_443(ar_0, i8', i4', arityPad)) [ i4' < ar_0 /\\ 1 <= i4' /\\ static'3 <= static'2 + ar_0 /\\ 0 < ar_0 /\\ static'2 <= static'1 /\\ -1 <= i8' /\\ o8' < ar_0 /\\ i8' <= o8' /\\ 0 < o8' /\\ -static'3 <= 0 /\\ 0 <= static'2 /\\ ar_0 <= static'3 /\\ static'1 <= static''' + 1 /\\ 0 <= static'1 /\\ static''' <= ar_1 + 2 /\\ 0 <= static''' /\\ 0 <= ar_1 /\\ 0 <= static'3 /\\ static'4 <= static'3 + 1 /\\ 0 <= i8' /\\ 0 <= i4' ]", 0-3) = ?
S("main_LE_582(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_571(ar_0, ar_1, 2*ar_2, ar_3)) [ 2*ar_2 = i112' /\\ 1 <= ar_3 /\\ 2 <= i112' /\\ 0 < ar_0 /\\ ar_2 < ar_1 /\\ 2 <= ar_1 /\\ 1 <= i112' /\\ 1 <= ar_2 ]", 0-0) = ar_0
S("main_LE_582(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_571(ar_0, ar_1, 2*ar_2, ar_3)) [ 2*ar_2 = i112' /\\ 1 <= ar_3 /\\ 2 <= i112' /\\ 0 < ar_0 /\\ ar_2 < ar_1 /\\ 2 <= ar_1 /\\ 1 <= i112' /\\ 1 <= ar_2 ]", 0-1) = 2*ar_0
S("main_LE_582(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_571(ar_0, ar_1, 2*ar_2, ar_3)) [ 2*ar_2 = i112' /\\ 1 <= ar_3 /\\ 2 <= i112' /\\ 0 < ar_0 /\\ ar_2 < ar_1 /\\ 2 <= ar_1 /\\ 1 <= i112' /\\ 1 <= ar_2 ]", 0-2) = ?
S("main_LE_582(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_571(ar_0, ar_1, 2*ar_2, ar_3)) [ 2*ar_2 = i112' /\\ 1 <= ar_3 /\\ 2 <= i112' /\\ 0 < ar_0 /\\ ar_2 < ar_1 /\\ 2 <= ar_1 /\\ 1 <= i112' /\\ 1 <= ar_2 ]", 0-3) = ar_0
orients the transitions
main_Load_571(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_LE_582(ar_0, ar_1, ar_2, ar_3)) [ 1 <= ar_3 /\ 0 < ar_0 /\ 1 <= ar_2 ]
main_LE_582(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_571(ar_0, ar_1, 2*ar_2, ar_3)) [ 2*ar_2 = i112' /\ 1 <= ar_3 /\ 2 <= i112' /\ 0 < ar_0 /\ ar_2 < ar_1 /\ 2 <= ar_1 /\ 1 <= i112' /\ 1 <= ar_2 ]
weakly and the transition
main_LE_582(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_571(ar_0, ar_1, 2*ar_2, ar_3)) [ 2*ar_2 = i112' /\ 1 <= ar_3 /\ 2 <= i112' /\ 0 < ar_0 /\ ar_2 < ar_1 /\ 2 <= ar_1 /\ 1 <= i112' /\ 1 <= ar_2 ]
strictly and produces the following problem:
5: T:
(Comp: 4*ar_0^2 + 2*ar_0, Cost: 6) main_LE_582(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_571(ar_0, ar_1, 2*ar_2, ar_3)) [ 2*ar_2 = i112' /\ 1 <= ar_3 /\ 2 <= i112' /\ 0 < ar_0 /\ ar_2 < ar_1 /\ 2 <= ar_1 /\ 1 <= i112' /\ 1 <= ar_2 ]
(Comp: 1, Cost: 33) main_Load_2(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_443(ar_0, i8', i4', arityPad)) [ i4' < ar_0 /\ 1 <= i4' /\ static'3 <= static'2 + ar_0 /\ 0 < ar_0 /\ static'2 <= static'1 /\ -1 <= i8' /\ o8' < ar_0 /\ i8' <= o8' /\ 0 < o8' /\ -static'3 <= 0 /\ 0 <= static'2 /\ ar_0 <= static'3 /\ static'1 <= static''' + 1 /\ 0 <= static'1 /\ static''' <= ar_1 + 2 /\ 0 <= static''' /\ 0 <= ar_1 /\ 0 <= static'3 /\ static'4 <= static'3 + 1 /\ 0 <= i8' /\ 0 <= i4' ]
(Comp: ar_0, Cost: 4) main_Load_443(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_571(ar_0, ar_1, 1, ar_2)) [ 1 <= ar_2 /\ 0 <= ar_1 /\ 0 < ar_0 ]
(Comp: ar_0, Cost: 3) main_LE_582(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_443(ar_0, ar_1 - 1, ar_3, arityPad)) [ ar_1 <= ar_2 /\ 1 <= ar_3 /\ 1 <= ar_2 /\ 0 < ar_0 /\ ar_1 - 1 = i110' ]
(Comp: ?, Cost: 2) main_Load_571(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_LE_582(ar_0, ar_1, ar_2, ar_3)) [ 1 <= ar_3 /\ 0 < ar_0 /\ 1 <= ar_2 ]
(Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_2(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]
start location: koat_start
leaf cost: 0

Repeatedly propagating knowledge in problem 5 produces the following problem:
6: T:
(Comp: 4*ar_0^2 + 2*ar_0, Cost: 6) main_LE_582(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_571(ar_0, ar_1, 2*ar_2, ar_3)) [ 2*ar_2 = i112' /\ 1 <= ar_3 /\ 2 <= i112' /\ 0 < ar_0 /\ ar_2 < ar_1 /\ 2 <= ar_1 /\ 1 <= i112' /\ 1 <= ar_2 ]
(Comp: 1, Cost: 33) main_Load_2(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_443(ar_0, i8', i4', arityPad)) [ i4' < ar_0 /\ 1 <= i4' /\ static'3 <= static'2 + ar_0 /\ 0 < ar_0 /\ static'2 <= static'1 /\ -1 <= i8' /\ o8' < ar_0 /\ i8' <= o8' /\ 0 < o8' /\ -static'3 <= 0 /\ 0 <= static'2 /\ ar_0 <= static'3 /\ static'1 <= static''' + 1 /\ 0 <= static'1 /\ static''' <= ar_1 + 2 /\ 0 <= static''' /\ 0 <= ar_1 /\ 0 <= static'3 /\ static'4 <= static'3 + 1 /\ 0 <= i8' /\ 0 <= i4' ]
(Comp: ar_0, Cost: 4) main_Load_443(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_571(ar_0, ar_1, 1, ar_2)) [ 1 <= ar_2 /\ 0 <= ar_1 /\ 0 < ar_0 ]
(Comp: ar_0, Cost: 3) main_LE_582(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_443(ar_0, ar_1 - 1, ar_3, arityPad)) [ ar_1 <= ar_2 /\ 1 <= ar_3 /\ 1 <= ar_2 /\ 0 < ar_0 /\ ar_1 - 1 = i110' ]
(Comp: 3*ar_0 + 4*ar_0^2, Cost: 2) main_Load_571(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_LE_582(ar_0, ar_1, ar_2, ar_3)) [ 1 <= ar_3 /\ 0 < ar_0 /\ 1 <= ar_2 ]
(Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_2(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]
start location: koat_start
leaf cost: 0

Complexity upper bound 32*ar_0^2 + 25*ar_0 + 33

Time: 0.223 sec (SMT: 0.201 sec)

(16) BOUNDS(CONSTANT, 33 + 25 * |args| + 32 * |args|^2)

(17) TerminationGraphToComplexityProof (BOTH CONCRETE BOUNDS(ID, ADD(47)) transformation)

Extracted set of 74 edges for the analysis of TIME complexity. Kept leaves.

(18) Obligation:

Set of 74 edges based on JBC Program.
Performed SCC analyses:

• Used field analysis yielded the following read fields:
  

Considered paths: nonterm paths and paths from start to sinks

(19) JBCGraphEdgesToCpxIntTrsProof (CONCRETE UPPER BOUND(ID) transformation)

Transformed 74 jbc graph edges to a weighted ITS with 74 rules.
Used simplified encoding of division and modulo.
Filtered conditions with variables that do not depend on the variables on the lhs or rhs without taking transitive dependencies into account.
Did no encode lower bounds for putfield and astore.

(20) Obligation:

IntTrs with 74 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_2(o2, env, static) -{0,0}> main_Load_3(o2, env, static) :|: 0 < o2
main_Load_3(o2, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_6(o2, env, static) :|: 0 < o2
langle_clinit_rangle_ConstantStackPush_6(o2, env, static) -{1,1}> langle_clinit_rangle_ArrayCreate_14(iconst_0, o2, env, static) :|: 0 < o2 && iconst_0 = 0
langle_clinit_rangle_ArrayCreate_14(iconst_0, o2, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_16(a2, o2, iconst_0, env, static) :|: a2 = 2 && 0 < o2 && iconst_0 = 0 && 0 < a2
langle_clinit_rangle_FieldAccess_16(a2, o2, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_17(o2, env, static') :|: 0 <= a2 && 0 < o2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2
langle_clinit_rangle_New_17(o2, env, static) -{0,0}> langle_clinit_rangle_New_19(o2, env, static) :|: 0 < o2
langle_clinit_rangle_New_19(o2, env, static) -{0,0}> langle_clinit_rangle_New_20(o2, env, static) :|: 0 < o2 && 0 <= static
langle_clinit_rangle_New_20(o2, env, static) -{1,1}> langle_clinit_rangle_Duplicate_22(o4, o2, env, static) :|: o4 = 1 && 0 < o2 && 0 < o4
langle_clinit_rangle_Duplicate_22(o4, o2, env, static) -{1,1}> langle_clinit_rangle_ConstantStackPush_24(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_clinit_rangle_ConstantStackPush_24(o4, o2, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_26(o4, NULL, o2, env, static) :|: NULL = 0 && 0 < o2 && 0 < o4
langle_clinit_rangle_InvokeMethod_26(o4, NULL, o2, env, static) -{1,1}> langle_init_rangle_Load_27(o4, o2, env, static) :|: NULL = 0 && 0 < o2 && 0 < o4
langle_init_rangle_Load_27(o4, o2, env, static) -{1,1}> langle_init_rangle_InvokeMethod_30(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_InvokeMethod_30(o4, o2, env, static) -{1,1}> langle_init_rangle_Load_31(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Load_31(o4, o2, env, static) -{1,1}> langle_init_rangle_InvokeMethod_33(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_InvokeMethod_33(o4, o2, env, static) -{1,1}> langle_init_rangle_Return_34(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Return_34(o4, o2, env, static) -{1,1}> langle_init_rangle_Return_35(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Return_35(o4, o2, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_36(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_clinit_rangle_FieldAccess_36(o4, o2, env, static) -{1,1}> langle_clinit_rangle_Return_37(o2, env, static') :|: 0 < o2 && 0 <= o4 && 0 < o4 && 0 <= static && static' <= static + o4
langle_clinit_rangle_Return_37(o2, env, static) -{1,1}> main_Load_41(o2, env, static) :|: 0 < o2
main_Load_41(o2, env, static) -{0,0}> main_Load_42(o2, env, static) :|: 0 < o2
main_Load_42(o2, env, static) -{0,0}> main_Load_43(o2, env, static) :|: 0 < o2 && 0 <= static
main_Load_43(o2, env, static) -{0,0}> main_Load_44(o2, env, static) :|: 0 < o2
main_Load_44(o2, env, static) -{0,0}> main_Load_45(o2, env, static) :|: 0 < o2
main_Load_45(o2, env, static) -{1,1}> main_FieldAccess_46(o2, env, static) :|: 0 < o2
main_FieldAccess_46(o2, env, static) -{0,0}> main_FieldAccess_47(o2, env, static) :|: 0 < o2
main_FieldAccess_47(o2, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_48(o2, NULL, iconst_0, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
langle_clinit_rangle_ConstantStackPush_48(o2, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_50(iconst_0, o2, NULL, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
langle_clinit_rangle_FieldAccess_50(iconst_0, o2, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_52(o2, NULL, iconst_0, env, static') :|: NULL = 0 && 0 < o2 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0
langle_clinit_rangle_Return_52(o2, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_53(o2, NULL, iconst_0, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
main_FieldAccess_53(o2, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_55(o2, iconst_0, env, static') :|: NULL = 0 && 0 < o2 && 0 <= o2 && iconst_0 = 0 && 0 <= static && static' <= static + o2
main_InvokeMethod_55(o2, iconst_0, env, static) -{1,1}> random_FieldAccess_56(o2, iconst_0, env, static) :|: 0 < o2 && iconst_0 = 0
random_FieldAccess_56(o2, iconst_0, env, static) -{1,1}> random_FieldAccess_59(o2, iconst_0, env, static) :|: 0 < o2 && o2 <= static && 0 <= o2 && iconst_0 = 0 && 0 <= static
random_FieldAccess_59(o2, iconst_0, env, static) -{1,1}> random_ArrayAccess_68(o2, iconst_0, env, static) :|: 0 < o2 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static
random_ArrayAccess_68(a6, iconst_0, env, static) -{0,0}> random_ArrayAccess_69(a6, iconst_0, i4, env, static) :|: 0 <= i4 && iconst_0 = 0 && 0 < a6 && i4 < a6
random_ArrayAccess_69(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_71(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_69(a6, iconst_0, i5, env, static) -{0,0}> random_ArrayAccess_73(a6, iconst_0, i5, env, static) :|: iconst_0 = 0 && 0 < a6 && 0 <= i5 && 1 <= i5
random_ArrayAccess_73(a6, iconst_0, i5, env, static) -{1,1}> random_Store_78(o8, a6, iconst_0, i5, env, static) :|: 0 <= o8 && o8 < a6 && iconst_0 = 0 && 0 < a6 && 1 <= i5
random_Store_78(o8, a6, iconst_0, i5, env, static) -{1,1}> random_FieldAccess_80(o8, a6, iconst_0, i5, env, static) :|: 0 <= o8 && iconst_0 = 0 && 0 < a6 && 1 <= i5
random_FieldAccess_80(o8, a6, iconst_0, i5, env, static) -{1,1}> random_ConstantStackPush_85(iconst_0, o8, a6, i5, env, static) :|: 0 <= o8 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && 0 < a6 && iconst_0 <= static && 1 <= i5
random_ConstantStackPush_85(iconst_0, o8, a6, i5, env, static) -{1,1}> random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i5, env, static) :|: 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 1 <= i5
random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i5, env, static) -{1,1}> random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i5, env, static) :|: 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 1 <= i5
random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i5, env, static) -{1,1}> random_Load_94(o8, a6, iconst_1, i5, env, static') :|: 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 <= static && 0 < a6 && static' <= static + iconst_1 && 1 <= i5
random_Load_94(o8, a6, iconst_1, i5, env, static) -{1,1}> random_InvokeMethod_100(o8, a6, iconst_1, i5, env, static) :|: 0 <= o8 && iconst_1 = 1 && 0 < a6 && 1 <= i5
random_InvokeMethod_100(o12, a6, iconst_1, i5, env, static) -{0,0}> random_InvokeMethod_102(o12, a6, iconst_1, i5, env, static) :|: 0 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6 && 1 <= i5
random_InvokeMethod_100(NULL, a6, iconst_1, i5, env, static) -{0,0}> random_InvokeMethod_103(NULL, a6, iconst_1, i5, env, static) :|: NULL = 0 && iconst_1 = 1 && 0 <= NULL && 0 < a6 && 1 <= i5
random_InvokeMethod_102(o12, a6, iconst_1, i5, env, static) -{1,1}> random_Return_107(i8, a6, iconst_1, i5, env, static) :|: i8 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
random_Return_107(i8, a6, iconst_1, i5, env, static) -{1,1}> main_Store_113(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
main_Store_113(a6, i8, iconst_1, i5, env, static) -{1,1}> main_Load_117(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
main_Load_117(a6, i8, iconst_1, i5, env, static) -{0,0}> main_Load_304(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && -1 <= i8 && 0 < a6 && 0 <= i8 && 1 <= i5
main_Load_304(a30, i32, iconst_1, i5, env, static) -{0,0}> main_Load_443(a30, i32, iconst_1, i5, env, static) :|: -1 <= i32 && iconst_1 = 1 && 0 < a30 && 1 <= i5
main_Load_443(a67, i66, iconst_1, i5, env, static) -{1,1}> main_LT_445(a67, i66, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a67 && 1 <= i5
main_LT_445(a67, i72, iconst_1, i5, env, static) -{0,0}> main_LT_446(a67, i72, iconst_1, i5, env, static) :|: i72 <= -1 && iconst_1 = 1 && 0 < a67 && 1 <= i5
main_LT_445(a67, i73, iconst_1, i5, env, static) -{0,0}> main_LT_447(a67, i73, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a67 && 1 <= i5 && 0 <= i73
main_LT_447(a67, i73, iconst_1, i5, env, static) -{1,1}> main_ConstantStackPush_449(a67, i73, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a67 && 1 <= i5 && 0 <= i73
main_ConstantStackPush_449(a67, i73, iconst_1, i5, env, static) -{1,1}> main_Store_451(a67, iconst_1, i73, i5, env, static) :|: iconst_1 = 1 && 0 < a67 && 1 <= i5 && 0 <= i73
main_Store_451(a67, iconst_1, i73, i5, env, static) -{1,1}> main_Load_452(a67, i73, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a67 && 1 <= i5 && 0 <= i73
main_Load_452(a67, i73, iconst_1, i5, env, static) -{0,0}> main_Load_496(a67, i73, iconst_1, iconst_1, i5, env, static) :|: iconst_1 <= 2 && 1 <= iconst_1 && iconst_1 = 1 && 0 < a67 && 1 <= i5 && 0 <= i73
main_Load_496(a77, i84, i85, iconst_1, i5, env, static) -{0,0}> main_Load_535(a77, i84, i85, iconst_1, i5, env, static) :|: i85 <= 4 && i85 <= 2 && 1 <= i85 && iconst_1 = 1 && 0 < a77 && 1 <= i5
main_Load_535(a87, i95, i96, iconst_1, i5, env, static) -{0,0}> main_Load_571(a87, i95, i96, iconst_1, i5, env, static) :|: i96 <= 4 && iconst_1 = 1 && 0 < a87 && 1 <= i96 && 1 <= i5
main_Load_571(a97, i105, i106, iconst_1, i5, env, static) -{1,1}> main_Load_574(a97, i105, i106, iconst_1, i5, env, static) :|: 1 <= i106 && iconst_1 = 1 && 0 < a97 && 1 <= i5
main_Load_574(a97, i105, i106, iconst_1, i5, env, static) -{1,1}> main_LE_582(a97, i105, i106, iconst_1, i5, env, static) :|: 1 <= i106 && iconst_1 = 1 && 0 < a97 && 1 <= i5
main_LE_582(a97, i105, i106, iconst_1, i5, env, static) -{0,0}> main_LE_591(a97, i105, i106, iconst_1, i5, env, static) :|: 1 <= i106 && i105 <= i106 && iconst_1 = 1 && 0 < a97 && 1 <= i5
main_LE_582(a97, i105, i106, iconst_1, i5, env, static) -{0,0}> main_LE_592(a97, i105, i106, iconst_1, i5, env, static) :|: 1 <= i106 && iconst_1 = 1 && i106 < i105 && 0 < a97 && 1 <= i5
main_LE_591(a97, i105, i106, iconst_1, i5, env, static) -{1,1}> main_Inc_597(a97, i105, iconst_1, i5, env, static) :|: 1 <= i106 && i105 <= i106 && iconst_1 = 1 && 0 < a97 && 1 <= i5
main_LE_592(a97, i105, i106, iconst_1, i5, env, static) -{1,1}> main_ConstantStackPush_601(a97, i105, i106, iconst_1, i5, env, static) :|: 1 <= i106 && iconst_1 = 1 && 2 <= i105 && i106 < i105 && 0 < a97 && 1 <= i5
main_Inc_597(a97, i105, iconst_1, i5, env, static) -{1,1}> main_JMP_603(a97, i110, iconst_1, i5, env, static) :|: iconst_1 = 1 && i105 + -1 = i110 && 0 < a97 && 1 <= i5
main_ConstantStackPush_601(a97, i105, i106, iconst_1, i5, env, static) -{1,1}> main_Load_607(a97, iconst_2, i105, i106, iconst_1, i5, env, static) :|: 1 <= i106 && iconst_1 = 1 && 2 <= i105 && 0 < a97 && iconst_2 = 2 && 1 <= i5
main_JMP_603(a97, i110, iconst_1, i5, env, static) -{1,1}> main_Load_609(a97, i110, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a97 && 1 <= i5
main_Load_607(a97, iconst_2, i105, i106, iconst_1, i5, env, static) -{1,1}> main_IntArithmetic_610(a97, iconst_2, i106, i105, iconst_1, i5, env, static) :|: 1 <= i106 && iconst_1 = 1 && 2 <= i105 && 0 < a97 && iconst_2 = 2 && 1 <= i5
main_Load_609(a97, i110, iconst_1, i5, env, static) -{0,0}> main_Load_443(a97, i110, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a97 && 1 <= i5
main_IntArithmetic_610(a97, iconst_2, i106, i105, iconst_1, i5, env, static) -{1,1}> main_Store_612(a97, i112, i105, iconst_1, i5, env, static) :|: 1 <= i106 && iconst_1 = 1 && 2 <= i105 && 2 <= i112 && iconst_2 * i106 = i112 && 0 < a97 && iconst_2 = 2 && 1 <= i5
main_Store_612(a97, i112, i105, iconst_1, i5, env, static) -{1,1}> main_JMP_617(a97, i105, i112, iconst_1, i5, env, static) :|: iconst_1 = 1 && 2 <= i105 && 2 <= i112 && 0 < a97 && 1 <= i5
main_JMP_617(a97, i105, i112, iconst_1, i5, env, static) -{1,1}> main_Load_618(a97, i105, i112, iconst_1, i5, env, static) :|: iconst_1 = 1 && 2 <= i105 && 2 <= i112 && 0 < a97 && 1 <= i5
main_Load_618(a97, i105, i112, iconst_1, i5, env, static) -{0,0}> main_Load_571(a97, i105, i112, iconst_1, i5, env, static) :|: 1 <= i112 && iconst_1 = 1 && 2 <= i105 && 2 <= i112 && 0 < a97 && 1 <= i5

(21) StraightLineCodeCompressionProof (BOTH CONCRETE BOUNDS(ID, ID) transformation)

obtained
main_Load_2(o2, env, static) -{23,23}> random_ArrayAccess_69(o2, 0, i4', env, static'3) :|: static'3 <= static'2 + o2 && i4' < o2 && static'2 <= static'1 + 0 && 0 < o2 && 0 <= 2 && 0 <= i4' && 0 <= o2 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && -1 * static'3 <= 0 && 0 <= static && 0 < 1 && 0 < 2 && 0 <= 1 && 0 <= static'3
by chaining
main_Load_2(o2, env, static) -{0,0}> main_Load_3(o2, env, static) :|: 0 < o2
main_Load_3(o2, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_6(o2, env, static) :|: 0 < o2
langle_clinit_rangle_ConstantStackPush_6(o2, env, static) -{1,1}> langle_clinit_rangle_ArrayCreate_14(iconst_0, o2, env, static) :|: 0 < o2 && iconst_0 = 0
langle_clinit_rangle_ArrayCreate_14(iconst_0, o2, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_16(a2, o2, iconst_0, env, static) :|: a2 = 2 && 0 < o2 && iconst_0 = 0 && 0 < a2
langle_clinit_rangle_FieldAccess_16(a2, o2, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_17(o2, env, static') :|: 0 <= a2 && 0 < o2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2
langle_clinit_rangle_New_17(o2, env, static) -{0,0}> langle_clinit_rangle_New_19(o2, env, static) :|: 0 < o2
langle_clinit_rangle_New_19(o2, env, static) -{0,0}> langle_clinit_rangle_New_20(o2, env, static) :|: 0 < o2 && 0 <= static
langle_clinit_rangle_New_20(o2, env, static) -{1,1}> langle_clinit_rangle_Duplicate_22(o4, o2, env, static) :|: o4 = 1 && 0 < o2 && 0 < o4
langle_clinit_rangle_Duplicate_22(o4, o2, env, static) -{1,1}> langle_clinit_rangle_ConstantStackPush_24(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_clinit_rangle_ConstantStackPush_24(o4, o2, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_26(o4, NULL, o2, env, static) :|: NULL = 0 && 0 < o2 && 0 < o4
langle_clinit_rangle_InvokeMethod_26(o4, NULL, o2, env, static) -{1,1}> langle_init_rangle_Load_27(o4, o2, env, static) :|: NULL = 0 && 0 < o2 && 0 < o4
langle_init_rangle_Load_27(o4, o2, env, static) -{1,1}> langle_init_rangle_InvokeMethod_30(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_InvokeMethod_30(o4, o2, env, static) -{1,1}> langle_init_rangle_Load_31(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Load_31(o4, o2, env, static) -{1,1}> langle_init_rangle_InvokeMethod_33(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_InvokeMethod_33(o4, o2, env, static) -{1,1}> langle_init_rangle_Return_34(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Return_34(o4, o2, env, static) -{1,1}> langle_init_rangle_Return_35(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Return_35(o4, o2, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_36(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_clinit_rangle_FieldAccess_36(o4, o2, env, static) -{1,1}> langle_clinit_rangle_Return_37(o2, env, static') :|: 0 < o2 && 0 <= o4 && 0 < o4 && 0 <= static && static' <= static + o4
langle_clinit_rangle_Return_37(o2, env, static) -{1,1}> main_Load_41(o2, env, static) :|: 0 < o2
main_Load_41(o2, env, static) -{0,0}> main_Load_42(o2, env, static) :|: 0 < o2
main_Load_42(o2, env, static) -{0,0}> main_Load_43(o2, env, static) :|: 0 < o2 && 0 <= static
main_Load_43(o2, env, static) -{0,0}> main_Load_44(o2, env, static) :|: 0 < o2
main_Load_44(o2, env, static) -{0,0}> main_Load_45(o2, env, static) :|: 0 < o2
main_Load_45(o2, env, static) -{1,1}> main_FieldAccess_46(o2, env, static) :|: 0 < o2
main_FieldAccess_46(o2, env, static) -{0,0}> main_FieldAccess_47(o2, env, static) :|: 0 < o2
main_FieldAccess_47(o2, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_48(o2, NULL, iconst_0, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
langle_clinit_rangle_ConstantStackPush_48(o2, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_50(iconst_0, o2, NULL, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
langle_clinit_rangle_FieldAccess_50(iconst_0, o2, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_52(o2, NULL, iconst_0, env, static') :|: NULL = 0 && 0 < o2 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0
langle_clinit_rangle_Return_52(o2, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_53(o2, NULL, iconst_0, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
main_FieldAccess_53(o2, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_55(o2, iconst_0, env, static') :|: NULL = 0 && 0 < o2 && 0 <= o2 && iconst_0 = 0 && 0 <= static && static' <= static + o2
main_InvokeMethod_55(o2, iconst_0, env, static) -{1,1}> random_FieldAccess_56(o2, iconst_0, env, static) :|: 0 < o2 && iconst_0 = 0
random_FieldAccess_56(o2, iconst_0, env, static) -{1,1}> random_FieldAccess_59(o2, iconst_0, env, static) :|: 0 < o2 && o2 <= static && 0 <= o2 && iconst_0 = 0 && 0 <= static
random_FieldAccess_59(o2, iconst_0, env, static) -{1,1}> random_ArrayAccess_68(o2, iconst_0, env, static) :|: 0 < o2 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static
random_ArrayAccess_68(a6, iconst_0, env, static) -{0,0}> random_ArrayAccess_69(a6, iconst_0, i4, env, static) :|: 0 <= i4 && iconst_0 = 0 && 0 < a6 && i4 < a6

obtained
random_ArrayAccess_69(a6, 0, i5, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i5, env, static'4) :|: 0 <= i5 && 1 <= i5 && 0 <= static && 0 < a6 && 0 <= o8' && static'4 <= static + 1 && o8' < a6 && -1 * static <= 0
by chaining
random_ArrayAccess_69(a6, iconst_0, i5, env, static) -{0,0}> random_ArrayAccess_73(a6, iconst_0, i5, env, static) :|: iconst_0 = 0 && 0 < a6 && 0 <= i5 && 1 <= i5
random_ArrayAccess_73(a6, iconst_0, i5, env, static) -{1,1}> random_Store_78(o8, a6, iconst_0, i5, env, static) :|: 0 <= o8 && o8 < a6 && iconst_0 = 0 && 0 < a6 && 1 <= i5
random_Store_78(o8, a6, iconst_0, i5, env, static) -{1,1}> random_FieldAccess_80(o8, a6, iconst_0, i5, env, static) :|: 0 <= o8 && iconst_0 = 0 && 0 < a6 && 1 <= i5
random_FieldAccess_80(o8, a6, iconst_0, i5, env, static) -{1,1}> random_ConstantStackPush_85(iconst_0, o8, a6, i5, env, static) :|: 0 <= o8 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && 0 < a6 && iconst_0 <= static && 1 <= i5
random_ConstantStackPush_85(iconst_0, o8, a6, i5, env, static) -{1,1}> random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i5, env, static) :|: 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 1 <= i5
random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i5, env, static) -{1,1}> random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i5, env, static) :|: 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 1 <= i5
random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i5, env, static) -{1,1}> random_Load_94(o8, a6, iconst_1, i5, env, static') :|: 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 <= static && 0 < a6 && static' <= static + iconst_1 && 1 <= i5
random_Load_94(o8, a6, iconst_1, i5, env, static) -{1,1}> random_InvokeMethod_100(o8, a6, iconst_1, i5, env, static) :|: 0 <= o8 && iconst_1 = 1 && 0 < a6 && 1 <= i5

obtained
random_InvokeMethod_100(o12, a6, 1, i5, env, static) -{3,3}> main_Load_443(a6, i8', 1, i5, env, static) :|: -1 <= i8' && 1 <= i5 && 0 <= o12 && 0 < a6 && 0 <= i8' && 0 < o12 && i8' <= o12
by chaining
random_InvokeMethod_100(o12, a6, iconst_1, i5, env, static) -{0,0}> random_InvokeMethod_102(o12, a6, iconst_1, i5, env, static) :|: 0 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6 && 1 <= i5
random_InvokeMethod_102(o12, a6, iconst_1, i5, env, static) -{1,1}> random_Return_107(i8, a6, iconst_1, i5, env, static) :|: i8 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
random_Return_107(i8, a6, iconst_1, i5, env, static) -{1,1}> main_Store_113(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
main_Store_113(a6, i8, iconst_1, i5, env, static) -{1,1}> main_Load_117(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
main_Load_117(a6, i8, iconst_1, i5, env, static) -{0,0}> main_Load_304(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && -1 <= i8 && 0 < a6 && 0 <= i8 && 1 <= i5
main_Load_304(a30, i32, iconst_1, i5, env, static) -{0,0}> main_Load_443(a30, i32, iconst_1, i5, env, static) :|: -1 <= i32 && iconst_1 = 1 && 0 < a30 && 1 <= i5

obtained
main_LT_445(a67, i73, 1, i5, env, static) -{3,3}> main_Load_571(a67, i73, 1, 1, i5, env, static) :|: 1 <= 4 && 1 <= i5 && 0 <= i73 && 1 <= 1 && 0 < a67 && 1 <= 2
by chaining
main_LT_445(a67, i73, iconst_1, i5, env, static) -{0,0}> main_LT_447(a67, i73, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a67 && 1 <= i5 && 0 <= i73
main_LT_447(a67, i73, iconst_1, i5, env, static) -{1,1}> main_ConstantStackPush_449(a67, i73, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a67 && 1 <= i5 && 0 <= i73
main_ConstantStackPush_449(a67, i73, iconst_1, i5, env, static) -{1,1}> main_Store_451(a67, iconst_1, i73, i5, env, static) :|: iconst_1 = 1 && 0 < a67 && 1 <= i5 && 0 <= i73
main_Store_451(a67, iconst_1, i73, i5, env, static) -{1,1}> main_Load_452(a67, i73, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a67 && 1 <= i5 && 0 <= i73
main_Load_452(a67, i73, iconst_1, i5, env, static) -{0,0}> main_Load_496(a67, i73, iconst_1, iconst_1, i5, env, static) :|: iconst_1 <= 2 && 1 <= iconst_1 && iconst_1 = 1 && 0 < a67 && 1 <= i5 && 0 <= i73
main_Load_496(a77, i84, i85, iconst_1, i5, env, static) -{0,0}> main_Load_535(a77, i84, i85, iconst_1, i5, env, static) :|: i85 <= 4 && i85 <= 2 && 1 <= i85 && iconst_1 = 1 && 0 < a77 && 1 <= i5
main_Load_535(a87, i95, i96, iconst_1, i5, env, static) -{0,0}> main_Load_571(a87, i95, i96, iconst_1, i5, env, static) :|: i96 <= 4 && iconst_1 = 1 && 0 < a87 && 1 <= i96 && 1 <= i5

obtained
main_Load_571(a97, i105, i106, 1, i5, env, static) -{2,2}> main_LE_582(a97, i105, i106, 1, i5, env, static) :|: 1 <= i5 && 0 < a97 && 1 <= i106
by chaining
main_Load_571(a97, i105, i106, iconst_1, i5, env, static) -{1,1}> main_Load_574(a97, i105, i106, iconst_1, i5, env, static) :|: 1 <= i106 && iconst_1 = 1 && 0 < a97 && 1 <= i5
main_Load_574(a97, i105, i106, iconst_1, i5, env, static) -{1,1}> main_LE_582(a97, i105, i106, iconst_1, i5, env, static) :|: 1 <= i106 && iconst_1 = 1 && 0 < a97 && 1 <= i5

obtained
main_LE_582(a97, i105, i106, 1, i5, env, static) -{6,6}> main_Load_571(a97, i105, i112', 1, i5, env, static) :|: 2 * i106 = i112' && 1 <= i5 && 2 <= i112' && 0 < a97 && i106 < i105 && 2 <= i105 && 1 <= i112' && 1 <= i106
by chaining
main_LE_582(a97, i105, i106, iconst_1, i5, env, static) -{0,0}> main_LE_592(a97, i105, i106, iconst_1, i5, env, static) :|: 1 <= i106 && iconst_1 = 1 && i106 < i105 && 0 < a97 && 1 <= i5
main_LE_592(a97, i105, i106, iconst_1, i5, env, static) -{1,1}> main_ConstantStackPush_601(a97, i105, i106, iconst_1, i5, env, static) :|: 1 <= i106 && iconst_1 = 1 && 2 <= i105 && i106 < i105 && 0 < a97 && 1 <= i5
main_ConstantStackPush_601(a97, i105, i106, iconst_1, i5, env, static) -{1,1}> main_Load_607(a97, iconst_2, i105, i106, iconst_1, i5, env, static) :|: 1 <= i106 && iconst_1 = 1 && 2 <= i105 && 0 < a97 && iconst_2 = 2 && 1 <= i5
main_Load_607(a97, iconst_2, i105, i106, iconst_1, i5, env, static) -{1,1}> main_IntArithmetic_610(a97, iconst_2, i106, i105, iconst_1, i5, env, static) :|: 1 <= i106 && iconst_1 = 1 && 2 <= i105 && 0 < a97 && iconst_2 = 2 && 1 <= i5
main_IntArithmetic_610(a97, iconst_2, i106, i105, iconst_1, i5, env, static) -{1,1}> main_Store_612(a97, i112, i105, iconst_1, i5, env, static) :|: 1 <= i106 && iconst_1 = 1 && 2 <= i105 && 2 <= i112 && iconst_2 * i106 = i112 && 0 < a97 && iconst_2 = 2 && 1 <= i5
main_Store_612(a97, i112, i105, iconst_1, i5, env, static) -{1,1}> main_JMP_617(a97, i105, i112, iconst_1, i5, env, static) :|: iconst_1 = 1 && 2 <= i105 && 2 <= i112 && 0 < a97 && 1 <= i5
main_JMP_617(a97, i105, i112, iconst_1, i5, env, static) -{1,1}> main_Load_618(a97, i105, i112, iconst_1, i5, env, static) :|: iconst_1 = 1 && 2 <= i105 && 2 <= i112 && 0 < a97 && 1 <= i5
main_Load_618(a97, i105, i112, iconst_1, i5, env, static) -{0,0}> main_Load_571(a97, i105, i112, iconst_1, i5, env, static) :|: 1 <= i112 && iconst_1 = 1 && 2 <= i105 && 2 <= i112 && 0 < a97 && 1 <= i5

obtained
main_LE_582(a97, i105, i106, 1, i5, env, static) -{3,3}> main_Load_443(a97, i110', 1, i5, env, static) :|: i105 <= i106 && 1 <= i5 && 1 <= i106 && 0 < a97 && i105 + -1 = i110'
by chaining
main_LE_582(a97, i105, i106, iconst_1, i5, env, static) -{0,0}> main_LE_591(a97, i105, i106, iconst_1, i5, env, static) :|: 1 <= i106 && i105 <= i106 && iconst_1 = 1 && 0 < a97 && 1 <= i5
main_LE_591(a97, i105, i106, iconst_1, i5, env, static) -{1,1}> main_Inc_597(a97, i105, iconst_1, i5, env, static) :|: 1 <= i106 && i105 <= i106 && iconst_1 = 1 && 0 < a97 && 1 <= i5
main_Inc_597(a97, i105, iconst_1, i5, env, static) -{1,1}> main_JMP_603(a97, i110, iconst_1, i5, env, static) :|: iconst_1 = 1 && i105 + -1 = i110 && 0 < a97 && 1 <= i5
main_JMP_603(a97, i110, iconst_1, i5, env, static) -{1,1}> main_Load_609(a97, i110, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a97 && 1 <= i5
main_Load_609(a97, i110, iconst_1, i5, env, static) -{0,0}> main_Load_443(a97, i110, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a97 && 1 <= i5

(22) Obligation:

IntTrs with 11 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_2(o2, env, static) -{23,23}> random_ArrayAccess_69(o2, 0, i4', env, static'3) :|: static'3 <= static'2 + o2 && i4' < o2 && static'2 <= static'1 + 0 && 0 < o2 && 0 <= 2 && 0 <= i4' && 0 <= o2 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && -1 * static'3 <= 0 && 0 <= static && 0 < 1 && 0 < 2 && 0 <= 1 && 0 <= static'3
random_ArrayAccess_69(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_71(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_69(a6, 0, i5, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i5, env, static'4) :|: 0 <= i5 && 1 <= i5 && 0 <= static && 0 < a6 && 0 <= o8' && static'4 <= static + 1 && o8' < a6 && -1 * static <= 0
random_InvokeMethod_100(NULL, a6, iconst_1, i5, env, static) -{0,0}> random_InvokeMethod_103(NULL, a6, iconst_1, i5, env, static) :|: NULL = 0 && iconst_1 = 1 && 0 <= NULL && 0 < a6 && 1 <= i5
random_InvokeMethod_100(o12, a6, 1, i5, env, static) -{3,3}> main_Load_443(a6, i8', 1, i5, env, static) :|: -1 <= i8' && 1 <= i5 && 0 <= o12 && 0 < a6 && 0 <= i8' && 0 < o12 && i8' <= o12
main_Load_443(a67, i66, iconst_1, i5, env, static) -{1,1}> main_LT_445(a67, i66, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a67 && 1 <= i5
main_LT_445(a67, i72, iconst_1, i5, env, static) -{0,0}> main_LT_446(a67, i72, iconst_1, i5, env, static) :|: i72 <= -1 && iconst_1 = 1 && 0 < a67 && 1 <= i5
main_LT_445(a67, i73, 1, i5, env, static) -{3,3}> main_Load_571(a67, i73, 1, 1, i5, env, static) :|: 1 <= 4 && 1 <= i5 && 0 <= i73 && 1 <= 1 && 0 < a67 && 1 <= 2
main_Load_571(a97, i105, i106, 1, i5, env, static) -{2,2}> main_LE_582(a97, i105, i106, 1, i5, env, static) :|: 1 <= i5 && 0 < a97 && 1 <= i106
main_LE_582(a97, i105, i106, 1, i5, env, static) -{6,6}> main_Load_571(a97, i105, i112', 1, i5, env, static) :|: 2 * i106 = i112' && 1 <= i5 && 2 <= i112' && 0 < a97 && i106 < i105 && 2 <= i105 && 1 <= i112' && 1 <= i106
main_LE_582(a97, i105, i106, 1, i5, env, static) -{3,3}> main_Load_443(a97, i110', 1, i5, env, static) :|: i105 <= i106 && 1 <= i5 && 1 <= i106 && 0 < a97 && i105 + -1 = i110'

(23) MovedArithmeticToConstraintsProof (BOTH CONCRETE BOUNDS(ID, ID) transformation)

Moved arithmethic from lhss to constraints.

random_ArrayAccess_69(a6, 0, i5, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i5, env, static'4) :|: 0 <= i5 && 1 <= i5 && 0 <= static && 0 < a6 && 0 <= o8' && static'4 <= static + 1 && o8' < a6 && -1 * static <= 0
was transformed to
random_ArrayAccess_69(a6, x, i5, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i5, env, static'4) :|: 0 <= i5 && 1 <= i5 && 0 <= static && 0 < a6 && 0 <= o8' && static'4 <= static + 1 && o8' < a6 && -1 * static <= 0 && x = 0

main_Load_571(a97, i105, i106, 1, i5, env, static) -{2,2}> main_LE_582(a97, i105, i106, 1, i5, env, static) :|: 1 <= i5 && 0 < a97 && 1 <= i106
was transformed to
main_Load_571(a97, i105, i106, x, i5, env, static) -{2,2}> main_LE_582(a97, i105, i106, 1, i5, env, static) :|: 1 <= i5 && 0 < a97 && 1 <= i106 && x = 1

main_LE_582(a97, i105, i106, 1, i5, env, static) -{3,3}> main_Load_443(a97, i110', 1, i5, env, static) :|: i105 <= i106 && 1 <= i5 && 1 <= i106 && 0 < a97 && i105 + -1 = i110'
was transformed to
main_LE_582(a97, i105, i106, x, i5, env, static) -{3,3}> main_Load_443(a97, i110', 1, i5, env, static) :|: i105 <= i106 && 1 <= i5 && 1 <= i106 && 0 < a97 && i105 + -1 = i110' && x = 1

main_LE_582(a97, i105, i106, 1, i5, env, static) -{6,6}> main_Load_571(a97, i105, i112', 1, i5, env, static) :|: 2 * i106 = i112' && 1 <= i5 && 2 <= i112' && 0 < a97 && i106 < i105 && 2 <= i105 && 1 <= i112' && 1 <= i106
was transformed to
main_LE_582(a97, i105, i106, x, i5, env, static) -{6,6}> main_Load_571(a97, i105, i112', 1, i5, env, static) :|: 2 * i106 = i112' && 1 <= i5 && 2 <= i112' && 0 < a97 && i106 < i105 && 2 <= i105 && 1 <= i112' && 1 <= i106 && x = 1

main_LT_445(a67, i73, 1, i5, env, static) -{3,3}> main_Load_571(a67, i73, 1, 1, i5, env, static) :|: 1 <= 4 && 1 <= i5 && 0 <= i73 && 1 <= 1 && 0 < a67 && 1 <= 2
was transformed to
main_LT_445(a67, i73, x, i5, env, static) -{3,3}> main_Load_571(a67, i73, 1, 1, i5, env, static) :|: 1 <= 4 && 1 <= i5 && 0 <= i73 && 1 <= 1 && 0 < a67 && 1 <= 2 && x = 1

random_InvokeMethod_100(o12, a6, 1, i5, env, static) -{3,3}> main_Load_443(a6, i8', 1, i5, env, static) :|: -1 <= i8' && 1 <= i5 && 0 <= o12 && 0 < a6 && 0 <= i8' && 0 < o12 && i8' <= o12
was transformed to
random_InvokeMethod_100(o12, a6, x, i5, env, static) -{3,3}> main_Load_443(a6, i8', 1, i5, env, static) :|: -1 <= i8' && 1 <= i5 && 0 <= o12 && 0 < a6 && 0 <= i8' && 0 < o12 && i8' <= o12 && x = 1

(24) Obligation:

IntTrs with 11 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_2(o2, env, static) -{23,23}> random_ArrayAccess_69(o2, 0, i4', env, static'3) :|: static'3 <= static'2 + o2 && i4' < o2 && static'2 <= static'1 + 0 && 0 < o2 && 0 <= 2 && 0 <= i4' && 0 <= o2 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && -1 * static'3 <= 0 && 0 <= static && 0 < 1 && 0 < 2 && 0 <= 1 && 0 <= static'3
main_Load_443(a67, i66, iconst_1, i5, env, static) -{1,1}> main_LT_445(a67, i66, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a67 && 1 <= i5
random_InvokeMethod_100(NULL, a6, iconst_1, i5, env, static) -{0,0}> random_InvokeMethod_103(NULL, a6, iconst_1, i5, env, static) :|: NULL = 0 && iconst_1 = 1 && 0 <= NULL && 0 < a6 && 1 <= i5
random_ArrayAccess_69(a6, x, i5, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i5, env, static'4) :|: 0 <= i5 && 1 <= i5 && 0 <= static && 0 < a6 && 0 <= o8' && static'4 <= static + 1 && o8' < a6 && -1 * static <= 0 && x = 0
main_Load_571(a97, i105, i106, x, i5, env, static) -{2,2}> main_LE_582(a97, i105, i106, 1, i5, env, static) :|: 1 <= i5 && 0 < a97 && 1 <= i106 && x = 1
main_LT_445(a67, i72, iconst_1, i5, env, static) -{0,0}> main_LT_446(a67, i72, iconst_1, i5, env, static) :|: i72 <= -1 && iconst_1 = 1 && 0 < a67 && 1 <= i5
main_LE_582(a97, i105, i106, x, i5, env, static) -{3,3}> main_Load_443(a97, i110', 1, i5, env, static) :|: i105 <= i106 && 1 <= i5 && 1 <= i106 && 0 < a97 && i105 + -1 = i110' && x = 1
main_LE_582(a97, i105, i106, x, i5, env, static) -{6,6}> main_Load_571(a97, i105, i112', 1, i5, env, static) :|: 2 * i106 = i112' && 1 <= i5 && 2 <= i112' && 0 < a97 && i106 < i105 && 2 <= i105 && 1 <= i112' && 1 <= i106 && x = 1
main_LT_445(a67, i73, x, i5, env, static) -{3,3}> main_Load_571(a67, i73, 1, 1, i5, env, static) :|: 1 <= 4 && 1 <= i5 && 0 <= i73 && 1 <= 1 && 0 < a67 && 1 <= 2 && x = 1
random_InvokeMethod_100(o12, a6, x, i5, env, static) -{3,3}> main_Load_443(a6, i8', 1, i5, env, static) :|: -1 <= i8' && 1 <= i5 && 0 <= o12 && 0 < a6 && 0 <= i8' && 0 < o12 && i8' <= o12 && x = 1
random_ArrayAccess_69(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_71(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6

(25) LinearizedLhssProof (BOTH CONCRETE BOUNDS(ID, ID) transformation)

Linearized lhss.

random_ArrayAccess_69(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_71(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6
was transformed to
random_ArrayAccess_69(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_71(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0

(26) Obligation:

IntTrs with 11 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_LT_445(a67, i73, x, i5, env, static) -{3,3}> main_Load_571(a67, i73, 1, 1, i5, env, static) :|: 1 <= 4 && 1 <= i5 && 0 <= i73 && 1 <= 1 && 0 < a67 && 1 <= 2 && x = 1
main_LE_582(a97, i105, i106, x, i5, env, static) -{3,3}> main_Load_443(a97, i110', 1, i5, env, static) :|: i105 <= i106 && 1 <= i5 && 1 <= i106 && 0 < a97 && i105 + -1 = i110' && x = 1
main_LE_582(a97, i105, i106, x, i5, env, static) -{6,6}> main_Load_571(a97, i105, i112', 1, i5, env, static) :|: 2 * i106 = i112' && 1 <= i5 && 2 <= i112' && 0 < a97 && i106 < i105 && 2 <= i105 && 1 <= i112' && 1 <= i106 && x = 1
main_Load_2(o2, env, static) -{23,23}> random_ArrayAccess_69(o2, 0, i4', env, static'3) :|: static'3 <= static'2 + o2 && i4' < o2 && static'2 <= static'1 + 0 && 0 < o2 && 0 <= 2 && 0 <= i4' && 0 <= o2 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && -1 * static'3 <= 0 && 0 <= static && 0 < 1 && 0 < 2 && 0 <= 1 && 0 <= static'3
main_Load_571(a97, i105, i106, x, i5, env, static) -{2,2}> main_LE_582(a97, i105, i106, 1, i5, env, static) :|: 1 <= i5 && 0 < a97 && 1 <= i106 && x = 1
random_ArrayAccess_69(a6, x, i5, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i5, env, static'4) :|: 0 <= i5 && 1 <= i5 && 0 <= static && 0 < a6 && 0 <= o8' && static'4 <= static + 1 && o8' < a6 && -1 * static <= 0 && x = 0
main_Load_443(a67, i66, iconst_1, i5, env, static) -{1,1}> main_LT_445(a67, i66, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a67 && 1 <= i5
random_InvokeMethod_100(NULL, a6, iconst_1, i5, env, static) -{0,0}> random_InvokeMethod_103(NULL, a6, iconst_1, i5, env, static) :|: NULL = 0 && iconst_1 = 1 && 0 <= NULL && 0 < a6 && 1 <= i5
main_LT_445(a67, i72, iconst_1, i5, env, static) -{0,0}> main_LT_446(a67, i72, iconst_1, i5, env, static) :|: i72 <= -1 && iconst_1 = 1 && 0 < a67 && 1 <= i5
random_ArrayAccess_69(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_71(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
random_InvokeMethod_100(o12, a6, x, i5, env, static) -{3,3}> main_Load_443(a6, i8', 1, i5, env, static) :|: -1 <= i8' && 1 <= i5 && 0 <= o12 && 0 < a6 && 0 <= i8' && 0 < o12 && i8' <= o12 && x = 1

(27) MovedArithmeticFromConstraintsProof (BOTH CONCRETE BOUNDS(ID, ID) transformation)

Moved arithmethic from constraints to rhss.

random_ArrayAccess_69(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_71(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
was transformed to
random_ArrayAccess_69(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_71(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0

main_LE_582(a97, i105, i106, x, i5, env, static) -{3,3}> main_Load_443(a97, i110', 1, i5, env, static) :|: i105 <= i106 && 1 <= i5 && 1 <= i106 && 0 < a97 && i105 + -1 = i110' && x = 1
was transformed to
main_LE_582(a97, i105, i106, x, i5, env, static) -{3,3}> main_Load_443(a97, i105 + -1, 1, i5, env, static) :|: i105 <= i106 && 1 <= i5 && 1 <= i106 && 0 < a97 && i105 + -1 = i110' && x = 1

main_LE_582(a97, i105, i106, x, i5, env, static) -{6,6}> main_Load_571(a97, i105, i112', 1, i5, env, static) :|: 2 * i106 = i112' && 1 <= i5 && 2 <= i112' && 0 < a97 && i106 < i105 && 2 <= i105 && 1 <= i112' && 1 <= i106 && x = 1
was transformed to
main_LE_582(a97, i105, i106, x, i5, env, static) -{6,6}> main_Load_571(a97, i105, 2 * i106, 1, i5, env, static) :|: 2 * i106 = i112' && 1 <= i5 && 2 <= i112' && 0 < a97 && i106 < i105 && 2 <= i105 && 1 <= i112' && 1 <= i106 && x = 1

main_Load_443(a67, i66, iconst_1, i5, env, static) -{1,1}> main_LT_445(a67, i66, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a67 && 1 <= i5
was transformed to
main_Load_443(a67, i66, iconst_1, i5, env, static) -{1,1}> main_LT_445(a67, i66, 1, i5, env, static) :|: iconst_1 = 1 && 0 < a67 && 1 <= i5

random_InvokeMethod_100(NULL, a6, iconst_1, i5, env, static) -{0,0}> random_InvokeMethod_103(NULL, a6, iconst_1, i5, env, static) :|: NULL = 0 && iconst_1 = 1 && 0 <= NULL && 0 < a6 && 1 <= i5
was transformed to
random_InvokeMethod_100(NULL, a6, iconst_1, i5, env, static) -{0,0}> random_InvokeMethod_103(0, a6, 1, i5, env, static) :|: NULL = 0 && iconst_1 = 1 && 0 <= NULL && 0 < a6 && 1 <= i5

main_LT_445(a67, i72, iconst_1, i5, env, static) -{0,0}> main_LT_446(a67, i72, iconst_1, i5, env, static) :|: i72 <= -1 && iconst_1 = 1 && 0 < a67 && 1 <= i5
was transformed to
main_LT_445(a67, i72, iconst_1, i5, env, static) -{0,0}> main_LT_446(a67, i72, 1, i5, env, static) :|: i72 <= -1 && iconst_1 = 1 && 0 < a67 && 1 <= i5

(28) Obligation:

IntTrs with 11 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
random_ArrayAccess_69(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_71(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
main_LT_445(a67, i73, x, i5, env, static) -{3,3}> main_Load_571(a67, i73, 1, 1, i5, env, static) :|: 1 <= 4 && 1 <= i5 && 0 <= i73 && 1 <= 1 && 0 < a67 && 1 <= 2 && x = 1
main_LE_582(a97, i105, i106, x, i5, env, static) -{3,3}> main_Load_443(a97, i105 + -1, 1, i5, env, static) :|: i105 <= i106 && 1 <= i5 && 1 <= i106 && 0 < a97 && i105 + -1 = i110' && x = 1
main_Load_2(o2, env, static) -{23,23}> random_ArrayAccess_69(o2, 0, i4', env, static'3) :|: static'3 <= static'2 + o2 && i4' < o2 && static'2 <= static'1 + 0 && 0 < o2 && 0 <= 2 && 0 <= i4' && 0 <= o2 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && -1 * static'3 <= 0 && 0 <= static && 0 < 1 && 0 < 2 && 0 <= 1 && 0 <= static'3
main_LE_582(a97, i105, i106, x, i5, env, static) -{6,6}> main_Load_571(a97, i105, 2 * i106, 1, i5, env, static) :|: 2 * i106 = i112' && 1 <= i5 && 2 <= i112' && 0 < a97 && i106 < i105 && 2 <= i105 && 1 <= i112' && 1 <= i106 && x = 1
main_Load_443(a67, i66, iconst_1, i5, env, static) -{1,1}> main_LT_445(a67, i66, 1, i5, env, static) :|: iconst_1 = 1 && 0 < a67 && 1 <= i5
random_ArrayAccess_69(a6, x, i5, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i5, env, static'4) :|: 0 <= i5 && 1 <= i5 && 0 <= static && 0 < a6 && 0 <= o8' && static'4 <= static + 1 && o8' < a6 && -1 * static <= 0 && x = 0
main_Load_571(a97, i105, i106, x, i5, env, static) -{2,2}> main_LE_582(a97, i105, i106, 1, i5, env, static) :|: 1 <= i5 && 0 < a97 && 1 <= i106 && x = 1
random_InvokeMethod_100(NULL, a6, iconst_1, i5, env, static) -{0,0}> random_InvokeMethod_103(0, a6, 1, i5, env, static) :|: NULL = 0 && iconst_1 = 1 && 0 <= NULL && 0 < a6 && 1 <= i5
main_LT_445(a67, i72, iconst_1, i5, env, static) -{0,0}> main_LT_446(a67, i72, 1, i5, env, static) :|: i72 <= -1 && iconst_1 = 1 && 0 < a67 && 1 <= i5
random_InvokeMethod_100(o12, a6, x, i5, env, static) -{3,3}> main_Load_443(a6, i8', 1, i5, env, static) :|: -1 <= i8' && 1 <= i5 && 0 <= o12 && 0 < a6 && 0 <= i8' && 0 < o12 && i8' <= o12 && x = 1

(29) ExpressionSimplificationProof (BOTH CONCRETE BOUNDS(ID, ID) transformation)

Simplified expressions.

main_LT_445(a67, i73, x, i5, env, static) -{3,3}> main_Load_571(a67, i73, 1, 1, i5, env, static) :|: 1 <= 4 && 1 <= i5 && 0 <= i73 && 1 <= 1 && 0 < a67 && 1 <= 2 && x = 1
was transformed to
main_LT_445(a67, i73, x, i5, env, static) -{3,3}> main_Load_571(a67, i73, 1, 1, i5, env, static) :|: 1 <= i5 && 0 <= i73 && 0 < a67 && x = 1

main_LE_582(a97, i105, i106, x, i5, env, static) -{3,3}> main_Load_443(a97, i105 + -1, 1, i5, env, static) :|: i105 <= i106 && 1 <= i5 && 1 <= i106 && 0 < a97 && i105 + -1 = i110' && x = 1
was transformed to
main_LE_582(a97, i105, i106, x, i5, env, static) -{3,3}> main_Load_443(a97, i105 - 1, 1, i5, env, static) :|: i105 <= i106 && 1 <= i5 && 1 <= i106 && 0 < a97 && i105 - 1 = i110' && x = 1

main_Load_2(o2, env, static) -{23,23}> random_ArrayAccess_69(o2, 0, i4', env, static'3) :|: static'3 <= static'2 + o2 && i4' < o2 && static'2 <= static'1 + 0 && 0 < o2 && 0 <= 2 && 0 <= i4' && 0 <= o2 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && -1 * static'3 <= 0 && 0 <= static && 0 < 1 && 0 < 2 && 0 <= 1 && 0 <= static'3
was transformed to
main_Load_2(o2, env, static) -{23,23}> random_ArrayAccess_69(o2, 0, i4', env, static'3) :|: static'3 <= static'2 + o2 && i4' < o2 && static'2 <= static'1 && 0 < o2 && 0 <= i4' && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && -1 * static'3 <= 0 && 0 <= static && 0 <= static'3

random_InvokeMethod_100(o12, a6, x, i5, env, static) -{3,3}> main_Load_443(a6, i8', 1, i5, env, static) :|: -1 <= i8' && 1 <= i5 && 0 <= o12 && 0 < a6 && 0 <= i8' && 0 < o12 && i8' <= o12 && x = 1
was transformed to
random_InvokeMethod_100(o12, a6, x, i5, env, static) -{3,3}> main_Load_443(a6, i8', 1, i5, env, static) :|: -1 <= i8' && 1 <= i5 && 0 < a6 && 0 <= i8' && 0 < o12 && i8' <= o12 && x = 1

(30) Obligation:

IntTrs with 11 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
random_InvokeMethod_100(NULL, a6, iconst_1, i5, env, static) -{0,0}> random_InvokeMethod_103(0, a6, 1, i5, env, static) :|: NULL = 0 && iconst_1 = 1 && 0 <= NULL && 0 < a6 && 1 <= i5
main_Load_443(a67, i66, iconst_1, i5, env, static) -{1,1}> main_LT_445(a67, i66, 1, i5, env, static) :|: iconst_1 = 1 && 0 < a67 && 1 <= i5
main_LT_445(a67, i73, x, i5, env, static) -{3,3}> main_Load_571(a67, i73, 1, 1, i5, env, static) :|: 1 <= i5 && 0 <= i73 && 0 < a67 && x = 1
main_LE_582(a97, i105, i106, x, i5, env, static) -{3,3}> main_Load_443(a97, i105 - 1, 1, i5, env, static) :|: i105 <= i106 && 1 <= i5 && 1 <= i106 && 0 < a97 && i105 - 1 = i110' && x = 1
main_LE_582(a97, i105, i106, x, i5, env, static) -{6,6}> main_Load_571(a97, i105, 2 * i106, 1, i5, env, static) :|: 2 * i106 = i112' && 1 <= i5 && 2 <= i112' && 0 < a97 && i106 < i105 && 2 <= i105 && 1 <= i112' && 1 <= i106 && x = 1
random_InvokeMethod_100(o12, a6, x, i5, env, static) -{3,3}> main_Load_443(a6, i8', 1, i5, env, static) :|: -1 <= i8' && 1 <= i5 && 0 < a6 && 0 <= i8' && 0 < o12 && i8' <= o12 && x = 1
main_Load_571(a97, i105, i106, x, i5, env, static) -{2,2}> main_LE_582(a97, i105, i106, 1, i5, env, static) :|: 1 <= i5 && 0 < a97 && 1 <= i106 && x = 1
random_ArrayAccess_69(a6, x, i5, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i5, env, static'4) :|: 0 <= i5 && 1 <= i5 && 0 <= static && 0 < a6 && 0 <= o8' && static'4 <= static + 1 && o8' < a6 && -1 * static <= 0 && x = 0
random_ArrayAccess_69(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_71(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
main_Load_2(o2, env, static) -{23,23}> random_ArrayAccess_69(o2, 0, i4', env, static'3) :|: static'3 <= static'2 + o2 && i4' < o2 && static'2 <= static'1 && 0 < o2 && 0 <= i4' && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && -1 * static'3 <= 0 && 0 <= static && 0 <= static'3
main_LT_445(a67, i72, iconst_1, i5, env, static) -{0,0}> main_LT_446(a67, i72, 1, i5, env, static) :|: i72 <= -1 && iconst_1 = 1 && 0 < a67 && 1 <= i5

(31) JBCGraphEdgesToCpxIntTrsProof (CONCRETE UPPER BOUND(ID) transformation)

Transformed 74 jbc graph edges to a weighted ITS with 74 rules.
Filtered conditions with variables that do not depend on the variables on the lhs or rhs without taking transitive dependencies into account.
Did no encode lower bounds for putfield and astore.

(32) Obligation:

IntTrs with 74 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_2(o2, env, static) -{0,0}> main_Load_3(o2, env, static) :|: 0 < o2
main_Load_3(o2, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_6(o2, env, static) :|: 0 < o2
langle_clinit_rangle_ConstantStackPush_6(o2, env, static) -{1,1}> langle_clinit_rangle_ArrayCreate_14(iconst_0, o2, env, static) :|: 0 < o2 && iconst_0 = 0
langle_clinit_rangle_ArrayCreate_14(iconst_0, o2, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_16(a2, o2, iconst_0, env, static) :|: a2 = 2 && 0 < o2 && iconst_0 = 0 && 0 < a2
langle_clinit_rangle_FieldAccess_16(a2, o2, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_17(o2, env, static') :|: 0 <= a2 && 0 < o2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2
langle_clinit_rangle_New_17(o2, env, static) -{0,0}> langle_clinit_rangle_New_19(o2, env, static) :|: 0 < o2
langle_clinit_rangle_New_19(o2, env, static) -{0,0}> langle_clinit_rangle_New_20(o2, env, static) :|: 0 < o2 && 0 <= static
langle_clinit_rangle_New_20(o2, env, static) -{1,1}> langle_clinit_rangle_Duplicate_22(o4, o2, env, static) :|: o4 = 1 && 0 < o2 && 0 < o4
langle_clinit_rangle_Duplicate_22(o4, o2, env, static) -{1,1}> langle_clinit_rangle_ConstantStackPush_24(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_clinit_rangle_ConstantStackPush_24(o4, o2, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_26(o4, NULL, o2, env, static) :|: NULL = 0 && 0 < o2 && 0 < o4
langle_clinit_rangle_InvokeMethod_26(o4, NULL, o2, env, static) -{1,1}> langle_init_rangle_Load_27(o4, o2, env, static) :|: NULL = 0 && 0 < o2 && 0 < o4
langle_init_rangle_Load_27(o4, o2, env, static) -{1,1}> langle_init_rangle_InvokeMethod_30(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_InvokeMethod_30(o4, o2, env, static) -{1,1}> langle_init_rangle_Load_31(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Load_31(o4, o2, env, static) -{1,1}> langle_init_rangle_InvokeMethod_33(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_InvokeMethod_33(o4, o2, env, static) -{1,1}> langle_init_rangle_Return_34(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Return_34(o4, o2, env, static) -{1,1}> langle_init_rangle_Return_35(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Return_35(o4, o2, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_36(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_clinit_rangle_FieldAccess_36(o4, o2, env, static) -{1,1}> langle_clinit_rangle_Return_37(o2, env, static') :|: 0 < o2 && 0 <= o4 && 0 < o4 && 0 <= static && static' <= static + o4
langle_clinit_rangle_Return_37(o2, env, static) -{1,1}> main_Load_41(o2, env, static) :|: 0 < o2
main_Load_41(o2, env, static) -{0,0}> main_Load_42(o2, env, static) :|: 0 < o2
main_Load_42(o2, env, static) -{0,0}> main_Load_43(o2, env, static) :|: 0 < o2 && 0 <= static
main_Load_43(o2, env, static) -{0,0}> main_Load_44(o2, env, static) :|: 0 < o2
main_Load_44(o2, env, static) -{0,0}> main_Load_45(o2, env, static) :|: 0 < o2
main_Load_45(o2, env, static) -{1,1}> main_FieldAccess_46(o2, env, static) :|: 0 < o2
main_FieldAccess_46(o2, env, static) -{0,0}> main_FieldAccess_47(o2, env, static) :|: 0 < o2
main_FieldAccess_47(o2, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_48(o2, NULL, iconst_0, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
langle_clinit_rangle_ConstantStackPush_48(o2, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_50(iconst_0, o2, NULL, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
langle_clinit_rangle_FieldAccess_50(iconst_0, o2, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_52(o2, NULL, iconst_0, env, static') :|: NULL = 0 && 0 < o2 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0
langle_clinit_rangle_Return_52(o2, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_53(o2, NULL, iconst_0, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
main_FieldAccess_53(o2, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_55(o2, iconst_0, env, static') :|: NULL = 0 && 0 < o2 && 0 <= o2 && iconst_0 = 0 && 0 <= static && static' <= static + o2
main_InvokeMethod_55(o2, iconst_0, env, static) -{1,1}> random_FieldAccess_56(o2, iconst_0, env, static) :|: 0 < o2 && iconst_0 = 0
random_FieldAccess_56(o2, iconst_0, env, static) -{1,1}> random_FieldAccess_59(o2, iconst_0, env, static) :|: 0 < o2 && o2 <= static && 0 <= o2 && iconst_0 = 0 && 0 <= static
random_FieldAccess_59(o2, iconst_0, env, static) -{1,1}> random_ArrayAccess_68(o2, iconst_0, env, static) :|: 0 < o2 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static
random_ArrayAccess_68(a6, iconst_0, env, static) -{0,0}> random_ArrayAccess_69(a6, iconst_0, i4, env, static) :|: 0 <= i4 && iconst_0 = 0 && 0 < a6 && i4 < a6
random_ArrayAccess_69(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_71(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_69(a6, iconst_0, i5, env, static) -{0,0}> random_ArrayAccess_73(a6, iconst_0, i5, env, static) :|: iconst_0 = 0 && 0 < a6 && 0 <= i5 && 1 <= i5
random_ArrayAccess_73(a6, iconst_0, i5, env, static) -{1,1}> random_Store_78(o8, a6, iconst_0, i5, env, static) :|: 0 <= o8 && o8 < a6 && iconst_0 = 0 && 0 < a6 && 1 <= i5
random_Store_78(o8, a6, iconst_0, i5, env, static) -{1,1}> random_FieldAccess_80(o8, a6, iconst_0, i5, env, static) :|: 0 <= o8 && iconst_0 = 0 && 0 < a6 && 1 <= i5
random_FieldAccess_80(o8, a6, iconst_0, i5, env, static) -{1,1}> random_ConstantStackPush_85(iconst_0, o8, a6, i5, env, static) :|: 0 <= o8 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && 0 < a6 && iconst_0 <= static && 1 <= i5
random_ConstantStackPush_85(iconst_0, o8, a6, i5, env, static) -{1,1}> random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i5, env, static) :|: 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 1 <= i5
random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i5, env, static) -{1,1}> random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i5, env, static) :|: 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 1 <= i5
random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i5, env, static) -{1,1}> random_Load_94(o8, a6, iconst_1, i5, env, static') :|: 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 <= static && 0 < a6 && static' <= static + iconst_1 && 1 <= i5
random_Load_94(o8, a6, iconst_1, i5, env, static) -{1,1}> random_InvokeMethod_100(o8, a6, iconst_1, i5, env, static) :|: 0 <= o8 && iconst_1 = 1 && 0 < a6 && 1 <= i5
random_InvokeMethod_100(o12, a6, iconst_1, i5, env, static) -{0,0}> random_InvokeMethod_102(o12, a6, iconst_1, i5, env, static) :|: 0 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6 && 1 <= i5
random_InvokeMethod_100(NULL, a6, iconst_1, i5, env, static) -{0,0}> random_InvokeMethod_103(NULL, a6, iconst_1, i5, env, static) :|: NULL = 0 && iconst_1 = 1 && 0 <= NULL && 0 < a6 && 1 <= i5
random_InvokeMethod_102(o12, a6, iconst_1, i5, env, static) -{1,1}> random_Return_107(i8, a6, iconst_1, i5, env, static) :|: i8 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
random_Return_107(i8, a6, iconst_1, i5, env, static) -{1,1}> main_Store_113(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
main_Store_113(a6, i8, iconst_1, i5, env, static) -{1,1}> main_Load_117(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
main_Load_117(a6, i8, iconst_1, i5, env, static) -{0,0}> main_Load_304(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && -1 <= i8 && 0 < a6 && 0 <= i8 && 1 <= i5
main_Load_304(a30, i32, iconst_1, i5, env, static) -{0,0}> main_Load_443(a30, i32, iconst_1, i5, env, static) :|: -1 <= i32 && iconst_1 = 1 && 0 < a30 && 1 <= i5
main_Load_443(a67, i66, iconst_1, i5, env, static) -{1,1}> main_LT_445(a67, i66, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a67 && 1 <= i5
main_LT_445(a67, i72, iconst_1, i5, env, static) -{0,0}> main_LT_446(a67, i72, iconst_1, i5, env, static) :|: i72 <= -1 && iconst_1 = 1 && 0 < a67 && 1 <= i5
main_LT_445(a67, i73, iconst_1, i5, env, static) -{0,0}> main_LT_447(a67, i73, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a67 && 1 <= i5 && 0 <= i73
main_LT_447(a67, i73, iconst_1, i5, env, static) -{1,1}> main_ConstantStackPush_449(a67, i73, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a67 && 1 <= i5 && 0 <= i73
main_ConstantStackPush_449(a67, i73, iconst_1, i5, env, static) -{1,1}> main_Store_451(a67, iconst_1, i73, i5, env, static) :|: iconst_1 = 1 && 0 < a67 && 1 <= i5 && 0 <= i73
main_Store_451(a67, iconst_1, i73, i5, env, static) -{1,1}> main_Load_452(a67, i73, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a67 && 1 <= i5 && 0 <= i73
main_Load_452(a67, i73, iconst_1, i5, env, static) -{0,0}> main_Load_496(a67, i73, iconst_1, iconst_1, i5, env, static) :|: iconst_1 <= 2 && 1 <= iconst_1 && iconst_1 = 1 && 0 < a67 && 1 <= i5 && 0 <= i73
main_Load_496(a77, i84, i85, iconst_1, i5, env, static) -{0,0}> main_Load_535(a77, i84, i85, iconst_1, i5, env, static) :|: i85 <= 4 && i85 <= 2 && 1 <= i85 && iconst_1 = 1 && 0 < a77 && 1 <= i5
main_Load_535(a87, i95, i96, iconst_1, i5, env, static) -{0,0}> main_Load_571(a87, i95, i96, iconst_1, i5, env, static) :|: i96 <= 4 && iconst_1 = 1 && 0 < a87 && 1 <= i96 && 1 <= i5
main_Load_571(a97, i105, i106, iconst_1, i5, env, static) -{1,1}> main_Load_574(a97, i105, i106, iconst_1, i5, env, static) :|: 1 <= i106 && iconst_1 = 1 && 0 < a97 && 1 <= i5
main_Load_574(a97, i105, i106, iconst_1, i5, env, static) -{1,1}> main_LE_582(a97, i105, i106, iconst_1, i5, env, static) :|: 1 <= i106 && iconst_1 = 1 && 0 < a97 && 1 <= i5
main_LE_582(a97, i105, i106, iconst_1, i5, env, static) -{0,0}> main_LE_591(a97, i105, i106, iconst_1, i5, env, static) :|: 1 <= i106 && i105 <= i106 && iconst_1 = 1 && 0 < a97 && 1 <= i5
main_LE_582(a97, i105, i106, iconst_1, i5, env, static) -{0,0}> main_LE_592(a97, i105, i106, iconst_1, i5, env, static) :|: 1 <= i106 && iconst_1 = 1 && i106 < i105 && 0 < a97 && 1 <= i5
main_LE_591(a97, i105, i106, iconst_1, i5, env, static) -{1,1}> main_Inc_597(a97, i105, iconst_1, i5, env, static) :|: 1 <= i106 && i105 <= i106 && iconst_1 = 1 && 0 < a97 && 1 <= i5
main_LE_592(a97, i105, i106, iconst_1, i5, env, static) -{1,1}> main_ConstantStackPush_601(a97, i105, i106, iconst_1, i5, env, static) :|: 1 <= i106 && iconst_1 = 1 && 2 <= i105 && i106 < i105 && 0 < a97 && 1 <= i5
main_Inc_597(a97, i105, iconst_1, i5, env, static) -{1,1}> main_JMP_603(a97, i110, iconst_1, i5, env, static) :|: iconst_1 = 1 && i105 + -1 = i110 && 0 < a97 && 1 <= i5
main_ConstantStackPush_601(a97, i105, i106, iconst_1, i5, env, static) -{1,1}> main_Load_607(a97, iconst_2, i105, i106, iconst_1, i5, env, static) :|: 1 <= i106 && iconst_1 = 1 && 2 <= i105 && 0 < a97 && iconst_2 = 2 && 1 <= i5
main_JMP_603(a97, i110, iconst_1, i5, env, static) -{1,1}> main_Load_609(a97, i110, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a97 && 1 <= i5
main_Load_607(a97, iconst_2, i105, i106, iconst_1, i5, env, static) -{1,1}> main_IntArithmetic_610(a97, iconst_2, i106, i105, iconst_1, i5, env, static) :|: 1 <= i106 && iconst_1 = 1 && 2 <= i105 && 0 < a97 && iconst_2 = 2 && 1 <= i5
main_Load_609(a97, i110, iconst_1, i5, env, static) -{0,0}> main_Load_443(a97, i110, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a97 && 1 <= i5
main_IntArithmetic_610(a97, iconst_2, i106, i105, iconst_1, i5, env, static) -{1,1}> main_Store_612(a97, i112, i105, iconst_1, i5, env, static) :|: 1 <= i106 && iconst_1 = 1 && 2 <= i105 && 2 <= i112 && iconst_2 * i106 = i112 && 0 < a97 && iconst_2 = 2 && 1 <= i5
main_Store_612(a97, i112, i105, iconst_1, i5, env, static) -{1,1}> main_JMP_617(a97, i105, i112, iconst_1, i5, env, static) :|: iconst_1 = 1 && 2 <= i105 && 2 <= i112 && 0 < a97 && 1 <= i5
main_JMP_617(a97, i105, i112, iconst_1, i5, env, static) -{1,1}> main_Load_618(a97, i105, i112, iconst_1, i5, env, static) :|: iconst_1 = 1 && 2 <= i105 && 2 <= i112 && 0 < a97 && 1 <= i5
main_Load_618(a97, i105, i112, iconst_1, i5, env, static) -{0,0}> main_Load_571(a97, i105, i112, iconst_1, i5, env, static) :|: 1 <= i112 && iconst_1 = 1 && 2 <= i105 && 2 <= i112 && 0 < a97 && 1 <= i5

(33) StraightLineCodeCompressionProof (BOTH CONCRETE BOUNDS(ID, ID) transformation)

obtained
main_Load_2(o2, env, static) -{23,23}> random_ArrayAccess_69(o2, 0, i4', env, static'3) :|: static'3 <= static'2 + o2 && i4' < o2 && static'2 <= static'1 + 0 && 0 < o2 && 0 <= 2 && 0 <= i4' && 0 <= o2 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && -1 * static'3 <= 0 && 0 <= static && 0 < 1 && 0 < 2 && 0 <= 1 && 0 <= static'3
by chaining
main_Load_2(o2, env, static) -{0,0}> main_Load_3(o2, env, static) :|: 0 < o2
main_Load_3(o2, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_6(o2, env, static) :|: 0 < o2
langle_clinit_rangle_ConstantStackPush_6(o2, env, static) -{1,1}> langle_clinit_rangle_ArrayCreate_14(iconst_0, o2, env, static) :|: 0 < o2 && iconst_0 = 0
langle_clinit_rangle_ArrayCreate_14(iconst_0, o2, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_16(a2, o2, iconst_0, env, static) :|: a2 = 2 && 0 < o2 && iconst_0 = 0 && 0 < a2
langle_clinit_rangle_FieldAccess_16(a2, o2, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_17(o2, env, static') :|: 0 <= a2 && 0 < o2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2
langle_clinit_rangle_New_17(o2, env, static) -{0,0}> langle_clinit_rangle_New_19(o2, env, static) :|: 0 < o2
langle_clinit_rangle_New_19(o2, env, static) -{0,0}> langle_clinit_rangle_New_20(o2, env, static) :|: 0 < o2 && 0 <= static
langle_clinit_rangle_New_20(o2, env, static) -{1,1}> langle_clinit_rangle_Duplicate_22(o4, o2, env, static) :|: o4 = 1 && 0 < o2 && 0 < o4
langle_clinit_rangle_Duplicate_22(o4, o2, env, static) -{1,1}> langle_clinit_rangle_ConstantStackPush_24(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_clinit_rangle_ConstantStackPush_24(o4, o2, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_26(o4, NULL, o2, env, static) :|: NULL = 0 && 0 < o2 && 0 < o4
langle_clinit_rangle_InvokeMethod_26(o4, NULL, o2, env, static) -{1,1}> langle_init_rangle_Load_27(o4, o2, env, static) :|: NULL = 0 && 0 < o2 && 0 < o4
langle_init_rangle_Load_27(o4, o2, env, static) -{1,1}> langle_init_rangle_InvokeMethod_30(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_InvokeMethod_30(o4, o2, env, static) -{1,1}> langle_init_rangle_Load_31(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Load_31(o4, o2, env, static) -{1,1}> langle_init_rangle_InvokeMethod_33(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_InvokeMethod_33(o4, o2, env, static) -{1,1}> langle_init_rangle_Return_34(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Return_34(o4, o2, env, static) -{1,1}> langle_init_rangle_Return_35(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Return_35(o4, o2, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_36(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_clinit_rangle_FieldAccess_36(o4, o2, env, static) -{1,1}> langle_clinit_rangle_Return_37(o2, env, static') :|: 0 < o2 && 0 <= o4 && 0 < o4 && 0 <= static && static' <= static + o4
langle_clinit_rangle_Return_37(o2, env, static) -{1,1}> main_Load_41(o2, env, static) :|: 0 < o2
main_Load_41(o2, env, static) -{0,0}> main_Load_42(o2, env, static) :|: 0 < o2
main_Load_42(o2, env, static) -{0,0}> main_Load_43(o2, env, static) :|: 0 < o2 && 0 <= static
main_Load_43(o2, env, static) -{0,0}> main_Load_44(o2, env, static) :|: 0 < o2
main_Load_44(o2, env, static) -{0,0}> main_Load_45(o2, env, static) :|: 0 < o2
main_Load_45(o2, env, static) -{1,1}> main_FieldAccess_46(o2, env, static) :|: 0 < o2
main_FieldAccess_46(o2, env, static) -{0,0}> main_FieldAccess_47(o2, env, static) :|: 0 < o2
main_FieldAccess_47(o2, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_48(o2, NULL, iconst_0, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
langle_clinit_rangle_ConstantStackPush_48(o2, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_50(iconst_0, o2, NULL, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
langle_clinit_rangle_FieldAccess_50(iconst_0, o2, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_52(o2, NULL, iconst_0, env, static') :|: NULL = 0 && 0 < o2 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0
langle_clinit_rangle_Return_52(o2, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_53(o2, NULL, iconst_0, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
main_FieldAccess_53(o2, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_55(o2, iconst_0, env, static') :|: NULL = 0 && 0 < o2 && 0 <= o2 && iconst_0 = 0 && 0 <= static && static' <= static + o2
main_InvokeMethod_55(o2, iconst_0, env, static) -{1,1}> random_FieldAccess_56(o2, iconst_0, env, static) :|: 0 < o2 && iconst_0 = 0
random_FieldAccess_56(o2, iconst_0, env, static) -{1,1}> random_FieldAccess_59(o2, iconst_0, env, static) :|: 0 < o2 && o2 <= static && 0 <= o2 && iconst_0 = 0 && 0 <= static
random_FieldAccess_59(o2, iconst_0, env, static) -{1,1}> random_ArrayAccess_68(o2, iconst_0, env, static) :|: 0 < o2 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static
random_ArrayAccess_68(a6, iconst_0, env, static) -{0,0}> random_ArrayAccess_69(a6, iconst_0, i4, env, static) :|: 0 <= i4 && iconst_0 = 0 && 0 < a6 && i4 < a6

obtained
random_ArrayAccess_69(a6, 0, i5, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i5, env, static'4) :|: 0 <= i5 && 1 <= i5 && 0 <= static && 0 < a6 && 0 <= o8' && static'4 <= static + 1 && o8' < a6 && -1 * static <= 0
by chaining
random_ArrayAccess_69(a6, iconst_0, i5, env, static) -{0,0}> random_ArrayAccess_73(a6, iconst_0, i5, env, static) :|: iconst_0 = 0 && 0 < a6 && 0 <= i5 && 1 <= i5
random_ArrayAccess_73(a6, iconst_0, i5, env, static) -{1,1}> random_Store_78(o8, a6, iconst_0, i5, env, static) :|: 0 <= o8 && o8 < a6 && iconst_0 = 0 && 0 < a6 && 1 <= i5
random_Store_78(o8, a6, iconst_0, i5, env, static) -{1,1}> random_FieldAccess_80(o8, a6, iconst_0, i5, env, static) :|: 0 <= o8 && iconst_0 = 0 && 0 < a6 && 1 <= i5
random_FieldAccess_80(o8, a6, iconst_0, i5, env, static) -{1,1}> random_ConstantStackPush_85(iconst_0, o8, a6, i5, env, static) :|: 0 <= o8 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && 0 < a6 && iconst_0 <= static && 1 <= i5
random_ConstantStackPush_85(iconst_0, o8, a6, i5, env, static) -{1,1}> random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i5, env, static) :|: 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 1 <= i5
random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i5, env, static) -{1,1}> random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i5, env, static) :|: 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 1 <= i5
random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i5, env, static) -{1,1}> random_Load_94(o8, a6, iconst_1, i5, env, static') :|: 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 <= static && 0 < a6 && static' <= static + iconst_1 && 1 <= i5
random_Load_94(o8, a6, iconst_1, i5, env, static) -{1,1}> random_InvokeMethod_100(o8, a6, iconst_1, i5, env, static) :|: 0 <= o8 && iconst_1 = 1 && 0 < a6 && 1 <= i5

obtained
random_InvokeMethod_100(o12, a6, 1, i5, env, static) -{3,3}> main_Load_443(a6, i8', 1, i5, env, static) :|: -1 <= i8' && 1 <= i5 && 0 <= o12 && 0 < a6 && 0 <= i8' && 0 < o12 && i8' <= o12
by chaining
random_InvokeMethod_100(o12, a6, iconst_1, i5, env, static) -{0,0}> random_InvokeMethod_102(o12, a6, iconst_1, i5, env, static) :|: 0 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6 && 1 <= i5
random_InvokeMethod_102(o12, a6, iconst_1, i5, env, static) -{1,1}> random_Return_107(i8, a6, iconst_1, i5, env, static) :|: i8 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
random_Return_107(i8, a6, iconst_1, i5, env, static) -{1,1}> main_Store_113(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
main_Store_113(a6, i8, iconst_1, i5, env, static) -{1,1}> main_Load_117(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
main_Load_117(a6, i8, iconst_1, i5, env, static) -{0,0}> main_Load_304(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && -1 <= i8 && 0 < a6 && 0 <= i8 && 1 <= i5
main_Load_304(a30, i32, iconst_1, i5, env, static) -{0,0}> main_Load_443(a30, i32, iconst_1, i5, env, static) :|: -1 <= i32 && iconst_1 = 1 && 0 < a30 && 1 <= i5

obtained
main_LT_445(a67, i73, 1, i5, env, static) -{3,3}> main_Load_571(a67, i73, 1, 1, i5, env, static) :|: 1 <= 4 && 1 <= i5 && 0 <= i73 && 1 <= 1 && 0 < a67 && 1 <= 2
by chaining
main_LT_445(a67, i73, iconst_1, i5, env, static) -{0,0}> main_LT_447(a67, i73, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a67 && 1 <= i5 && 0 <= i73
main_LT_447(a67, i73, iconst_1, i5, env, static) -{1,1}> main_ConstantStackPush_449(a67, i73, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a67 && 1 <= i5 && 0 <= i73
main_ConstantStackPush_449(a67, i73, iconst_1, i5, env, static) -{1,1}> main_Store_451(a67, iconst_1, i73, i5, env, static) :|: iconst_1 = 1 && 0 < a67 && 1 <= i5 && 0 <= i73
main_Store_451(a67, iconst_1, i73, i5, env, static) -{1,1}> main_Load_452(a67, i73, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a67 && 1 <= i5 && 0 <= i73
main_Load_452(a67, i73, iconst_1, i5, env, static) -{0,0}> main_Load_496(a67, i73, iconst_1, iconst_1, i5, env, static) :|: iconst_1 <= 2 && 1 <= iconst_1 && iconst_1 = 1 && 0 < a67 && 1 <= i5 && 0 <= i73
main_Load_496(a77, i84, i85, iconst_1, i5, env, static) -{0,0}> main_Load_535(a77, i84, i85, iconst_1, i5, env, static) :|: i85 <= 4 && i85 <= 2 && 1 <= i85 && iconst_1 = 1 && 0 < a77 && 1 <= i5
main_Load_535(a87, i95, i96, iconst_1, i5, env, static) -{0,0}> main_Load_571(a87, i95, i96, iconst_1, i5, env, static) :|: i96 <= 4 && iconst_1 = 1 && 0 < a87 && 1 <= i96 && 1 <= i5

obtained
main_Load_571(a97, i105, i106, 1, i5, env, static) -{2,2}> main_LE_582(a97, i105, i106, 1, i5, env, static) :|: 1 <= i5 && 0 < a97 && 1 <= i106
by chaining
main_Load_571(a97, i105, i106, iconst_1, i5, env, static) -{1,1}> main_Load_574(a97, i105, i106, iconst_1, i5, env, static) :|: 1 <= i106 && iconst_1 = 1 && 0 < a97 && 1 <= i5
main_Load_574(a97, i105, i106, iconst_1, i5, env, static) -{1,1}> main_LE_582(a97, i105, i106, iconst_1, i5, env, static) :|: 1 <= i106 && iconst_1 = 1 && 0 < a97 && 1 <= i5

obtained
main_LE_582(a97, i105, i106, 1, i5, env, static) -{6,6}> main_Load_571(a97, i105, i112', 1, i5, env, static) :|: 2 * i106 = i112' && 1 <= i5 && 2 <= i112' && 0 < a97 && i106 < i105 && 2 <= i105 && 1 <= i112' && 1 <= i106
by chaining
main_LE_582(a97, i105, i106, iconst_1, i5, env, static) -{0,0}> main_LE_592(a97, i105, i106, iconst_1, i5, env, static) :|: 1 <= i106 && iconst_1 = 1 && i106 < i105 && 0 < a97 && 1 <= i5
main_LE_592(a97, i105, i106, iconst_1, i5, env, static) -{1,1}> main_ConstantStackPush_601(a97, i105, i106, iconst_1, i5, env, static) :|: 1 <= i106 && iconst_1 = 1 && 2 <= i105 && i106 < i105 && 0 < a97 && 1 <= i5
main_ConstantStackPush_601(a97, i105, i106, iconst_1, i5, env, static) -{1,1}> main_Load_607(a97, iconst_2, i105, i106, iconst_1, i5, env, static) :|: 1 <= i106 && iconst_1 = 1 && 2 <= i105 && 0 < a97 && iconst_2 = 2 && 1 <= i5
main_Load_607(a97, iconst_2, i105, i106, iconst_1, i5, env, static) -{1,1}> main_IntArithmetic_610(a97, iconst_2, i106, i105, iconst_1, i5, env, static) :|: 1 <= i106 && iconst_1 = 1 && 2 <= i105 && 0 < a97 && iconst_2 = 2 && 1 <= i5
main_IntArithmetic_610(a97, iconst_2, i106, i105, iconst_1, i5, env, static) -{1,1}> main_Store_612(a97, i112, i105, iconst_1, i5, env, static) :|: 1 <= i106 && iconst_1 = 1 && 2 <= i105 && 2 <= i112 && iconst_2 * i106 = i112 && 0 < a97 && iconst_2 = 2 && 1 <= i5
main_Store_612(a97, i112, i105, iconst_1, i5, env, static) -{1,1}> main_JMP_617(a97, i105, i112, iconst_1, i5, env, static) :|: iconst_1 = 1 && 2 <= i105 && 2 <= i112 && 0 < a97 && 1 <= i5
main_JMP_617(a97, i105, i112, iconst_1, i5, env, static) -{1,1}> main_Load_618(a97, i105, i112, iconst_1, i5, env, static) :|: iconst_1 = 1 && 2 <= i105 && 2 <= i112 && 0 < a97 && 1 <= i5
main_Load_618(a97, i105, i112, iconst_1, i5, env, static) -{0,0}> main_Load_571(a97, i105, i112, iconst_1, i5, env, static) :|: 1 <= i112 && iconst_1 = 1 && 2 <= i105 && 2 <= i112 && 0 < a97 && 1 <= i5

obtained
main_LE_582(a97, i105, i106, 1, i5, env, static) -{3,3}> main_Load_443(a97, i110', 1, i5, env, static) :|: i105 <= i106 && 1 <= i5 && 1 <= i106 && 0 < a97 && i105 + -1 = i110'
by chaining
main_LE_582(a97, i105, i106, iconst_1, i5, env, static) -{0,0}> main_LE_591(a97, i105, i106, iconst_1, i5, env, static) :|: 1 <= i106 && i105 <= i106 && iconst_1 = 1 && 0 < a97 && 1 <= i5
main_LE_591(a97, i105, i106, iconst_1, i5, env, static) -{1,1}> main_Inc_597(a97, i105, iconst_1, i5, env, static) :|: 1 <= i106 && i105 <= i106 && iconst_1 = 1 && 0 < a97 && 1 <= i5
main_Inc_597(a97, i105, iconst_1, i5, env, static) -{1,1}> main_JMP_603(a97, i110, iconst_1, i5, env, static) :|: iconst_1 = 1 && i105 + -1 = i110 && 0 < a97 && 1 <= i5
main_JMP_603(a97, i110, iconst_1, i5, env, static) -{1,1}> main_Load_609(a97, i110, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a97 && 1 <= i5
main_Load_609(a97, i110, iconst_1, i5, env, static) -{0,0}> main_Load_443(a97, i110, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a97 && 1 <= i5

(34) Obligation:

IntTrs with 11 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_2(o2, env, static) -{23,23}> random_ArrayAccess_69(o2, 0, i4', env, static'3) :|: static'3 <= static'2 + o2 && i4' < o2 && static'2 <= static'1 + 0 && 0 < o2 && 0 <= 2 && 0 <= i4' && 0 <= o2 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && -1 * static'3 <= 0 && 0 <= static && 0 < 1 && 0 < 2 && 0 <= 1 && 0 <= static'3
random_ArrayAccess_69(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_71(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_69(a6, 0, i5, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i5, env, static'4) :|: 0 <= i5 && 1 <= i5 && 0 <= static && 0 < a6 && 0 <= o8' && static'4 <= static + 1 && o8' < a6 && -1 * static <= 0
random_InvokeMethod_100(NULL, a6, iconst_1, i5, env, static) -{0,0}> random_InvokeMethod_103(NULL, a6, iconst_1, i5, env, static) :|: NULL = 0 && iconst_1 = 1 && 0 <= NULL && 0 < a6 && 1 <= i5
random_InvokeMethod_100(o12, a6, 1, i5, env, static) -{3,3}> main_Load_443(a6, i8', 1, i5, env, static) :|: -1 <= i8' && 1 <= i5 && 0 <= o12 && 0 < a6 && 0 <= i8' && 0 < o12 && i8' <= o12
main_Load_443(a67, i66, iconst_1, i5, env, static) -{1,1}> main_LT_445(a67, i66, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a67 && 1 <= i5
main_LT_445(a67, i72, iconst_1, i5, env, static) -{0,0}> main_LT_446(a67, i72, iconst_1, i5, env, static) :|: i72 <= -1 && iconst_1 = 1 && 0 < a67 && 1 <= i5
main_LT_445(a67, i73, 1, i5, env, static) -{3,3}> main_Load_571(a67, i73, 1, 1, i5, env, static) :|: 1 <= 4 && 1 <= i5 && 0 <= i73 && 1 <= 1 && 0 < a67 && 1 <= 2
main_Load_571(a97, i105, i106, 1, i5, env, static) -{2,2}> main_LE_582(a97, i105, i106, 1, i5, env, static) :|: 1 <= i5 && 0 < a97 && 1 <= i106
main_LE_582(a97, i105, i106, 1, i5, env, static) -{6,6}> main_Load_571(a97, i105, i112', 1, i5, env, static) :|: 2 * i106 = i112' && 1 <= i5 && 2 <= i112' && 0 < a97 && i106 < i105 && 2 <= i105 && 1 <= i112' && 1 <= i106
main_LE_582(a97, i105, i106, 1, i5, env, static) -{3,3}> main_Load_443(a97, i110', 1, i5, env, static) :|: i105 <= i106 && 1 <= i5 && 1 <= i106 && 0 < a97 && i105 + -1 = i110'

(35) MovedArithmeticToConstraintsProof (BOTH CONCRETE BOUNDS(ID, ID) transformation)

Moved arithmethic from lhss to constraints.

random_ArrayAccess_69(a6, 0, i5, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i5, env, static'4) :|: 0 <= i5 && 1 <= i5 && 0 <= static && 0 < a6 && 0 <= o8' && static'4 <= static + 1 && o8' < a6 && -1 * static <= 0
was transformed to
random_ArrayAccess_69(a6, x, i5, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i5, env, static'4) :|: 0 <= i5 && 1 <= i5 && 0 <= static && 0 < a6 && 0 <= o8' && static'4 <= static + 1 && o8' < a6 && -1 * static <= 0 && x = 0

main_Load_571(a97, i105, i106, 1, i5, env, static) -{2,2}> main_LE_582(a97, i105, i106, 1, i5, env, static) :|: 1 <= i5 && 0 < a97 && 1 <= i106
was transformed to
main_Load_571(a97, i105, i106, x, i5, env, static) -{2,2}> main_LE_582(a97, i105, i106, 1, i5, env, static) :|: 1 <= i5 && 0 < a97 && 1 <= i106 && x = 1

main_LE_582(a97, i105, i106, 1, i5, env, static) -{3,3}> main_Load_443(a97, i110', 1, i5, env, static) :|: i105 <= i106 && 1 <= i5 && 1 <= i106 && 0 < a97 && i105 + -1 = i110'
was transformed to
main_LE_582(a97, i105, i106, x, i5, env, static) -{3,3}> main_Load_443(a97, i110', 1, i5, env, static) :|: i105 <= i106 && 1 <= i5 && 1 <= i106 && 0 < a97 && i105 + -1 = i110' && x = 1

main_LE_582(a97, i105, i106, 1, i5, env, static) -{6,6}> main_Load_571(a97, i105, i112', 1, i5, env, static) :|: 2 * i106 = i112' && 1 <= i5 && 2 <= i112' && 0 < a97 && i106 < i105 && 2 <= i105 && 1 <= i112' && 1 <= i106
was transformed to
main_LE_582(a97, i105, i106, x, i5, env, static) -{6,6}> main_Load_571(a97, i105, i112', 1, i5, env, static) :|: 2 * i106 = i112' && 1 <= i5 && 2 <= i112' && 0 < a97 && i106 < i105 && 2 <= i105 && 1 <= i112' && 1 <= i106 && x = 1

main_LT_445(a67, i73, 1, i5, env, static) -{3,3}> main_Load_571(a67, i73, 1, 1, i5, env, static) :|: 1 <= 4 && 1 <= i5 && 0 <= i73 && 1 <= 1 && 0 < a67 && 1 <= 2
was transformed to
main_LT_445(a67, i73, x, i5, env, static) -{3,3}> main_Load_571(a67, i73, 1, 1, i5, env, static) :|: 1 <= 4 && 1 <= i5 && 0 <= i73 && 1 <= 1 && 0 < a67 && 1 <= 2 && x = 1

random_InvokeMethod_100(o12, a6, 1, i5, env, static) -{3,3}> main_Load_443(a6, i8', 1, i5, env, static) :|: -1 <= i8' && 1 <= i5 && 0 <= o12 && 0 < a6 && 0 <= i8' && 0 < o12 && i8' <= o12
was transformed to
random_InvokeMethod_100(o12, a6, x, i5, env, static) -{3,3}> main_Load_443(a6, i8', 1, i5, env, static) :|: -1 <= i8' && 1 <= i5 && 0 <= o12 && 0 < a6 && 0 <= i8' && 0 < o12 && i8' <= o12 && x = 1

(36) Obligation:

IntTrs with 11 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_2(o2, env, static) -{23,23}> random_ArrayAccess_69(o2, 0, i4', env, static'3) :|: static'3 <= static'2 + o2 && i4' < o2 && static'2 <= static'1 + 0 && 0 < o2 && 0 <= 2 && 0 <= i4' && 0 <= o2 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && -1 * static'3 <= 0 && 0 <= static && 0 < 1 && 0 < 2 && 0 <= 1 && 0 <= static'3
main_Load_443(a67, i66, iconst_1, i5, env, static) -{1,1}> main_LT_445(a67, i66, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a67 && 1 <= i5
random_InvokeMethod_100(NULL, a6, iconst_1, i5, env, static) -{0,0}> random_InvokeMethod_103(NULL, a6, iconst_1, i5, env, static) :|: NULL = 0 && iconst_1 = 1 && 0 <= NULL && 0 < a6 && 1 <= i5
random_ArrayAccess_69(a6, x, i5, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i5, env, static'4) :|: 0 <= i5 && 1 <= i5 && 0 <= static && 0 < a6 && 0 <= o8' && static'4 <= static + 1 && o8' < a6 && -1 * static <= 0 && x = 0
main_Load_571(a97, i105, i106, x, i5, env, static) -{2,2}> main_LE_582(a97, i105, i106, 1, i5, env, static) :|: 1 <= i5 && 0 < a97 && 1 <= i106 && x = 1
main_LT_445(a67, i72, iconst_1, i5, env, static) -{0,0}> main_LT_446(a67, i72, iconst_1, i5, env, static) :|: i72 <= -1 && iconst_1 = 1 && 0 < a67 && 1 <= i5
main_LE_582(a97, i105, i106, x, i5, env, static) -{3,3}> main_Load_443(a97, i110', 1, i5, env, static) :|: i105 <= i106 && 1 <= i5 && 1 <= i106 && 0 < a97 && i105 + -1 = i110' && x = 1
main_LE_582(a97, i105, i106, x, i5, env, static) -{6,6}> main_Load_571(a97, i105, i112', 1, i5, env, static) :|: 2 * i106 = i112' && 1 <= i5 && 2 <= i112' && 0 < a97 && i106 < i105 && 2 <= i105 && 1 <= i112' && 1 <= i106 && x = 1
main_LT_445(a67, i73, x, i5, env, static) -{3,3}> main_Load_571(a67, i73, 1, 1, i5, env, static) :|: 1 <= 4 && 1 <= i5 && 0 <= i73 && 1 <= 1 && 0 < a67 && 1 <= 2 && x = 1
random_InvokeMethod_100(o12, a6, x, i5, env, static) -{3,3}> main_Load_443(a6, i8', 1, i5, env, static) :|: -1 <= i8' && 1 <= i5 && 0 <= o12 && 0 < a6 && 0 <= i8' && 0 < o12 && i8' <= o12 && x = 1
random_ArrayAccess_69(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_71(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6

(37) LinearizedLhssProof (BOTH CONCRETE BOUNDS(ID, ID) transformation)

Linearized lhss.

random_ArrayAccess_69(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_71(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6
was transformed to
random_ArrayAccess_69(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_71(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0

(38) Obligation:

IntTrs with 11 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_LT_445(a67, i73, x, i5, env, static) -{3,3}> main_Load_571(a67, i73, 1, 1, i5, env, static) :|: 1 <= 4 && 1 <= i5 && 0 <= i73 && 1 <= 1 && 0 < a67 && 1 <= 2 && x = 1
main_LE_582(a97, i105, i106, x, i5, env, static) -{3,3}> main_Load_443(a97, i110', 1, i5, env, static) :|: i105 <= i106 && 1 <= i5 && 1 <= i106 && 0 < a97 && i105 + -1 = i110' && x = 1
main_LE_582(a97, i105, i106, x, i5, env, static) -{6,6}> main_Load_571(a97, i105, i112', 1, i5, env, static) :|: 2 * i106 = i112' && 1 <= i5 && 2 <= i112' && 0 < a97 && i106 < i105 && 2 <= i105 && 1 <= i112' && 1 <= i106 && x = 1
main_Load_2(o2, env, static) -{23,23}> random_ArrayAccess_69(o2, 0, i4', env, static'3) :|: static'3 <= static'2 + o2 && i4' < o2 && static'2 <= static'1 + 0 && 0 < o2 && 0 <= 2 && 0 <= i4' && 0 <= o2 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && -1 * static'3 <= 0 && 0 <= static && 0 < 1 && 0 < 2 && 0 <= 1 && 0 <= static'3
main_Load_571(a97, i105, i106, x, i5, env, static) -{2,2}> main_LE_582(a97, i105, i106, 1, i5, env, static) :|: 1 <= i5 && 0 < a97 && 1 <= i106 && x = 1
random_ArrayAccess_69(a6, x, i5, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i5, env, static'4) :|: 0 <= i5 && 1 <= i5 && 0 <= static && 0 < a6 && 0 <= o8' && static'4 <= static + 1 && o8' < a6 && -1 * static <= 0 && x = 0
main_Load_443(a67, i66, iconst_1, i5, env, static) -{1,1}> main_LT_445(a67, i66, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a67 && 1 <= i5
random_InvokeMethod_100(NULL, a6, iconst_1, i5, env, static) -{0,0}> random_InvokeMethod_103(NULL, a6, iconst_1, i5, env, static) :|: NULL = 0 && iconst_1 = 1 && 0 <= NULL && 0 < a6 && 1 <= i5
main_LT_445(a67, i72, iconst_1, i5, env, static) -{0,0}> main_LT_446(a67, i72, iconst_1, i5, env, static) :|: i72 <= -1 && iconst_1 = 1 && 0 < a67 && 1 <= i5
random_ArrayAccess_69(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_71(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
random_InvokeMethod_100(o12, a6, x, i5, env, static) -{3,3}> main_Load_443(a6, i8', 1, i5, env, static) :|: -1 <= i8' && 1 <= i5 && 0 <= o12 && 0 < a6 && 0 <= i8' && 0 < o12 && i8' <= o12 && x = 1

(39) MovedArithmeticFromConstraintsProof (BOTH CONCRETE BOUNDS(ID, ID) transformation)

Moved arithmethic from constraints to rhss.

random_ArrayAccess_69(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_71(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
was transformed to
random_ArrayAccess_69(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_71(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0

main_LE_582(a97, i105, i106, x, i5, env, static) -{3,3}> main_Load_443(a97, i110', 1, i5, env, static) :|: i105 <= i106 && 1 <= i5 && 1 <= i106 && 0 < a97 && i105 + -1 = i110' && x = 1
was transformed to
main_LE_582(a97, i105, i106, x, i5, env, static) -{3,3}> main_Load_443(a97, i105 + -1, 1, i5, env, static) :|: i105 <= i106 && 1 <= i5 && 1 <= i106 && 0 < a97 && i105 + -1 = i110' && x = 1

main_LE_582(a97, i105, i106, x, i5, env, static) -{6,6}> main_Load_571(a97, i105, i112', 1, i5, env, static) :|: 2 * i106 = i112' && 1 <= i5 && 2 <= i112' && 0 < a97 && i106 < i105 && 2 <= i105 && 1 <= i112' && 1 <= i106 && x = 1
was transformed to
main_LE_582(a97, i105, i106, x, i5, env, static) -{6,6}> main_Load_571(a97, i105, 2 * i106, 1, i5, env, static) :|: 2 * i106 = i112' && 1 <= i5 && 2 <= i112' && 0 < a97 && i106 < i105 && 2 <= i105 && 1 <= i112' && 1 <= i106 && x = 1

main_Load_443(a67, i66, iconst_1, i5, env, static) -{1,1}> main_LT_445(a67, i66, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a67 && 1 <= i5
was transformed to
main_Load_443(a67, i66, iconst_1, i5, env, static) -{1,1}> main_LT_445(a67, i66, 1, i5, env, static) :|: iconst_1 = 1 && 0 < a67 && 1 <= i5

random_InvokeMethod_100(NULL, a6, iconst_1, i5, env, static) -{0,0}> random_InvokeMethod_103(NULL, a6, iconst_1, i5, env, static) :|: NULL = 0 && iconst_1 = 1 && 0 <= NULL && 0 < a6 && 1 <= i5
was transformed to
random_InvokeMethod_100(NULL, a6, iconst_1, i5, env, static) -{0,0}> random_InvokeMethod_103(0, a6, 1, i5, env, static) :|: NULL = 0 && iconst_1 = 1 && 0 <= NULL && 0 < a6 && 1 <= i5

main_LT_445(a67, i72, iconst_1, i5, env, static) -{0,0}> main_LT_446(a67, i72, iconst_1, i5, env, static) :|: i72 <= -1 && iconst_1 = 1 && 0 < a67 && 1 <= i5
was transformed to
main_LT_445(a67, i72, iconst_1, i5, env, static) -{0,0}> main_LT_446(a67, i72, 1, i5, env, static) :|: i72 <= -1 && iconst_1 = 1 && 0 < a67 && 1 <= i5

(40) Obligation:

IntTrs with 11 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
random_ArrayAccess_69(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_71(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
main_LT_445(a67, i73, x, i5, env, static) -{3,3}> main_Load_571(a67, i73, 1, 1, i5, env, static) :|: 1 <= 4 && 1 <= i5 && 0 <= i73 && 1 <= 1 && 0 < a67 && 1 <= 2 && x = 1
main_LE_582(a97, i105, i106, x, i5, env, static) -{3,3}> main_Load_443(a97, i105 + -1, 1, i5, env, static) :|: i105 <= i106 && 1 <= i5 && 1 <= i106 && 0 < a97 && i105 + -1 = i110' && x = 1
main_Load_2(o2, env, static) -{23,23}> random_ArrayAccess_69(o2, 0, i4', env, static'3) :|: static'3 <= static'2 + o2 && i4' < o2 && static'2 <= static'1 + 0 && 0 < o2 && 0 <= 2 && 0 <= i4' && 0 <= o2 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && -1 * static'3 <= 0 && 0 <= static && 0 < 1 && 0 < 2 && 0 <= 1 && 0 <= static'3
main_LE_582(a97, i105, i106, x, i5, env, static) -{6,6}> main_Load_571(a97, i105, 2 * i106, 1, i5, env, static) :|: 2 * i106 = i112' && 1 <= i5 && 2 <= i112' && 0 < a97 && i106 < i105 && 2 <= i105 && 1 <= i112' && 1 <= i106 && x = 1
main_Load_443(a67, i66, iconst_1, i5, env, static) -{1,1}> main_LT_445(a67, i66, 1, i5, env, static) :|: iconst_1 = 1 && 0 < a67 && 1 <= i5
random_ArrayAccess_69(a6, x, i5, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i5, env, static'4) :|: 0 <= i5 && 1 <= i5 && 0 <= static && 0 < a6 && 0 <= o8' && static'4 <= static + 1 && o8' < a6 && -1 * static <= 0 && x = 0
main_Load_571(a97, i105, i106, x, i5, env, static) -{2,2}> main_LE_582(a97, i105, i106, 1, i5, env, static) :|: 1 <= i5 && 0 < a97 && 1 <= i106 && x = 1
random_InvokeMethod_100(NULL, a6, iconst_1, i5, env, static) -{0,0}> random_InvokeMethod_103(0, a6, 1, i5, env, static) :|: NULL = 0 && iconst_1 = 1 && 0 <= NULL && 0 < a6 && 1 <= i5
main_LT_445(a67, i72, iconst_1, i5, env, static) -{0,0}> main_LT_446(a67, i72, 1, i5, env, static) :|: i72 <= -1 && iconst_1 = 1 && 0 < a67 && 1 <= i5
random_InvokeMethod_100(o12, a6, x, i5, env, static) -{3,3}> main_Load_443(a6, i8', 1, i5, env, static) :|: -1 <= i8' && 1 <= i5 && 0 <= o12 && 0 < a6 && 0 <= i8' && 0 < o12 && i8' <= o12 && x = 1

(41) ExpressionSimplificationProof (BOTH CONCRETE BOUNDS(ID, ID) transformation)

Simplified expressions.

main_LT_445(a67, i73, x, i5, env, static) -{3,3}> main_Load_571(a67, i73, 1, 1, i5, env, static) :|: 1 <= 4 && 1 <= i5 && 0 <= i73 && 1 <= 1 && 0 < a67 && 1 <= 2 && x = 1
was transformed to
main_LT_445(a67, i73, x, i5, env, static) -{3,3}> main_Load_571(a67, i73, 1, 1, i5, env, static) :|: 1 <= i5 && 0 <= i73 && 0 < a67 && x = 1

main_LE_582(a97, i105, i106, x, i5, env, static) -{3,3}> main_Load_443(a97, i105 + -1, 1, i5, env, static) :|: i105 <= i106 && 1 <= i5 && 1 <= i106 && 0 < a97 && i105 + -1 = i110' && x = 1
was transformed to
main_LE_582(a97, i105, i106, x, i5, env, static) -{3,3}> main_Load_443(a97, i105 - 1, 1, i5, env, static) :|: i105 <= i106 && 1 <= i5 && 1 <= i106 && 0 < a97 && i105 - 1 = i110' && x = 1

main_Load_2(o2, env, static) -{23,23}> random_ArrayAccess_69(o2, 0, i4', env, static'3) :|: static'3 <= static'2 + o2 && i4' < o2 && static'2 <= static'1 + 0 && 0 < o2 && 0 <= 2 && 0 <= i4' && 0 <= o2 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && -1 * static'3 <= 0 && 0 <= static && 0 < 1 && 0 < 2 && 0 <= 1 && 0 <= static'3
was transformed to
main_Load_2(o2, env, static) -{23,23}> random_ArrayAccess_69(o2, 0, i4', env, static'3) :|: static'3 <= static'2 + o2 && i4' < o2 && static'2 <= static'1 && 0 < o2 && 0 <= i4' && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && -1 * static'3 <= 0 && 0 <= static && 0 <= static'3

random_InvokeMethod_100(o12, a6, x, i5, env, static) -{3,3}> main_Load_443(a6, i8', 1, i5, env, static) :|: -1 <= i8' && 1 <= i5 && 0 <= o12 && 0 < a6 && 0 <= i8' && 0 < o12 && i8' <= o12 && x = 1
was transformed to
random_InvokeMethod_100(o12, a6, x, i5, env, static) -{3,3}> main_Load_443(a6, i8', 1, i5, env, static) :|: -1 <= i8' && 1 <= i5 && 0 < a6 && 0 <= i8' && 0 < o12 && i8' <= o12 && x = 1

(42) Obligation:

IntTrs with 11 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
random_InvokeMethod_100(NULL, a6, iconst_1, i5, env, static) -{0,0}> random_InvokeMethod_103(0, a6, 1, i5, env, static) :|: NULL = 0 && iconst_1 = 1 && 0 <= NULL && 0 < a6 && 1 <= i5
main_Load_443(a67, i66, iconst_1, i5, env, static) -{1,1}> main_LT_445(a67, i66, 1, i5, env, static) :|: iconst_1 = 1 && 0 < a67 && 1 <= i5
main_LT_445(a67, i73, x, i5, env, static) -{3,3}> main_Load_571(a67, i73, 1, 1, i5, env, static) :|: 1 <= i5 && 0 <= i73 && 0 < a67 && x = 1
main_LE_582(a97, i105, i106, x, i5, env, static) -{3,3}> main_Load_443(a97, i105 - 1, 1, i5, env, static) :|: i105 <= i106 && 1 <= i5 && 1 <= i106 && 0 < a97 && i105 - 1 = i110' && x = 1
main_LE_582(a97, i105, i106, x, i5, env, static) -{6,6}> main_Load_571(a97, i105, 2 * i106, 1, i5, env, static) :|: 2 * i106 = i112' && 1 <= i5 && 2 <= i112' && 0 < a97 && i106 < i105 && 2 <= i105 && 1 <= i112' && 1 <= i106 && x = 1
random_InvokeMethod_100(o12, a6, x, i5, env, static) -{3,3}> main_Load_443(a6, i8', 1, i5, env, static) :|: -1 <= i8' && 1 <= i5 && 0 < a6 && 0 <= i8' && 0 < o12 && i8' <= o12 && x = 1
main_Load_571(a97, i105, i106, x, i5, env, static) -{2,2}> main_LE_582(a97, i105, i106, 1, i5, env, static) :|: 1 <= i5 && 0 < a97 && 1 <= i106 && x = 1
random_ArrayAccess_69(a6, x, i5, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i5, env, static'4) :|: 0 <= i5 && 1 <= i5 && 0 <= static && 0 < a6 && 0 <= o8' && static'4 <= static + 1 && o8' < a6 && -1 * static <= 0 && x = 0
random_ArrayAccess_69(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_71(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
main_Load_2(o2, env, static) -{23,23}> random_ArrayAccess_69(o2, 0, i4', env, static'3) :|: static'3 <= static'2 + o2 && i4' < o2 && static'2 <= static'1 && 0 < o2 && 0 <= i4' && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && -1 * static'3 <= 0 && 0 <= static && 0 <= static'3
main_LT_445(a67, i72, iconst_1, i5, env, static) -{0,0}> main_LT_446(a67, i72, 1, i5, env, static) :|: i72 <= -1 && iconst_1 = 1 && 0 < a67 && 1 <= i5