The time complexity of the given JBC problem could be proven to be BOUNDS(CONSTANT, 139 + 12 * |args|).

(0) Obligation:

Need to prove time_complexity of the following program:

public class Duplicate{

  public static int round (int x) {

    if (x % 2 == 0) return x;
    else return x+1;
  }


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

    while ((x > y) && (y > 2)) {
      x++;
      y = 2*y;

    }
  }
}


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:
Duplicate.main([Ljava/lang/String;)V: Graph of 177 nodes with 1 SCC.

(3) TerminationGraphToComplexityProof (BOTH CONCRETE BOUNDS(ID, ADD(93)) transformation)

Extracted set of 76 edges for the analysis of TIME complexity. Dropped leaves.

(4) Obligation:

Set of 76 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 76 jbc graph edges to a weighted ITS with 76 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 76 rules
Start term: main_Load_1(args, env, static)
Considered paths: all paths from start
Rules:
main_Load_1(o1, env, static) -{0,0}> main_Load_4(o1, env, static) :|: 0 < o1
main_Load_4(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_6(o1, env, static) :|: 0 < o1
langle_clinit_rangle_ConstantStackPush_6(o1, env, static) -{1,1}> langle_clinit_rangle_ArrayCreate_12(iconst_0, o1, env, static) :|: iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ArrayCreate_12(iconst_0, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_14(a2, o1, iconst_0, env, static) :|: a2 = 2 && iconst_0 = 0 && 0 < a2 && 0 < o1
langle_clinit_rangle_FieldAccess_14(a2, o1, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_16(o1, env, static') :|: 0 <= a2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2 && 0 < o1
langle_clinit_rangle_New_16(o1, env, static) -{0,0}> langle_clinit_rangle_New_18(o1, env, static) :|: 0 < o1
langle_clinit_rangle_New_18(o1, env, static) -{0,0}> langle_clinit_rangle_New_19(o1, env, static) :|: 0 <= static && 0 < o1
langle_clinit_rangle_New_19(o1, env, static) -{1,1}> langle_clinit_rangle_Duplicate_20(o4, o1, env, static) :|: o4 = 1 && 0 < o4 && 0 < o1
langle_clinit_rangle_Duplicate_20(o4, o1, env, static) -{1,1}> langle_clinit_rangle_ConstantStackPush_22(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_ConstantStackPush_22(o4, o1, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_23(o4, NULL, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_clinit_rangle_InvokeMethod_23(o4, NULL, o1, env, static) -{1,1}> langle_init_rangle_Load_25(o4, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_init_rangle_Load_25(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_27(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_27(o4, o1, env, static) -{1,1}> langle_init_rangle_Load_28(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Load_28(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_30(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_30(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_33(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_33(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_35(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_35(o4, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_38(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_FieldAccess_38(o4, o1, env, static) -{1,1}> langle_clinit_rangle_Return_40(o1, env, static') :|: 0 <= o4 && 0 < o4 && 0 <= static && 0 < o1 && static' <= static + o4
langle_clinit_rangle_Return_40(o1, env, static) -{1,1}> main_Load_41(o1, env, static) :|: 0 < o1
main_Load_41(o1, env, static) -{0,0}> main_Load_42(o1, env, static) :|: 0 < o1
main_Load_42(o1, env, static) -{0,0}> main_Load_44(o1, env, static) :|: 0 <= static && 0 < o1
main_Load_44(o1, env, static) -{0,0}> main_Load_46(o1, env, static) :|: 0 < o1
main_Load_46(o1, env, static) -{0,0}> main_Load_48(o1, env, static) :|: 0 < o1
main_Load_48(o1, env, static) -{1,1}> main_FieldAccess_51(o1, env, static) :|: 0 < o1
main_FieldAccess_51(o1, env, static) -{0,0}> main_FieldAccess_53(o1, env, static) :|: 0 < o1
main_FieldAccess_53(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_55(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ConstantStackPush_55(o1, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_57(iconst_0, o1, NULL, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_FieldAccess_57(iconst_0, o1, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_59(o1, NULL, iconst_0, env, static') :|: NULL = 0 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0 && 0 < o1
langle_clinit_rangle_Return_59(o1, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_61(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
main_FieldAccess_61(o1, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_63(o1, iconst_0, env, static') :|: static' <= static + o1 && NULL = 0 && 0 <= o1 && iconst_0 = 0 && 0 <= static && 0 < o1
main_InvokeMethod_63(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_65(o1, iconst_0, env, static) :|: iconst_0 = 0 && 0 < o1
random_FieldAccess_65(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_67(o1, iconst_0, env, static) :|: 0 <= o1 && o1 <= static && iconst_0 = 0 && 0 <= static && 0 < o1
random_FieldAccess_67(o1, iconst_0, env, static) -{1,1}> random_ArrayAccess_69(o1, iconst_0, env, static) :|: -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static && 0 < o1
random_ArrayAccess_69(a6, iconst_0, env, static) -{0,0}> random_ArrayAccess_70(a6, iconst_0, i4, env, static) :|: 0 <= i4 && iconst_0 = 0 && 0 < a6 && i4 < a6
random_ArrayAccess_70(a6, iconst_0, i6, env, static) -{0,0}> random_ArrayAccess_74(a6, iconst_0, i6, env, static) :|: 0 <= i6 && 1 <= i6 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_74(a6, iconst_0, i6, env, static) -{1,1}> random_Store_78(o7, a6, iconst_0, i6, env, static) :|: 1 <= i6 && o7 < a6 && iconst_0 = 0 && 0 <= o7 && 0 < a6
random_Store_78(o7, a6, iconst_0, i6, env, static) -{1,1}> random_FieldAccess_80(o7, a6, iconst_0, i6, env, static) :|: 1 <= i6 && iconst_0 = 0 && 0 <= o7 && 0 < a6
random_FieldAccess_80(o7, a6, iconst_0, i6, env, static) -{1,1}> random_ConstantStackPush_94(iconst_0, o7, a6, i6, env, static) :|: 1 <= i6 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= o7 && 0 <= static && 0 < a6 && iconst_0 <= static
random_ConstantStackPush_94(iconst_0, o7, a6, i6, env, static) -{1,1}> random_IntArithmetic_97(iconst_0, iconst_1, o7, a6, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && iconst_0 = 0 && 0 <= o7 && 0 < a6
random_IntArithmetic_97(iconst_0, iconst_1, o7, a6, i6, env, static) -{1,1}> random_FieldAccess_99(iconst_1, o7, a6, iconst_0, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && iconst_0 = 0 && 0 <= o7 && 0 < a6
random_FieldAccess_99(iconst_1, o7, a6, iconst_0, i6, env, static) -{1,1}> random_Load_105(o7, a6, iconst_1, i6, env, static') :|: 1 <= i6 && iconst_1 = 1 && iconst_0 = 0 && 0 <= o7 && 0 <= static && 0 < a6 && static' <= static + iconst_1
random_Load_105(o7, a6, iconst_1, i6, env, static) -{1,1}> random_InvokeMethod_122(o7, a6, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 <= o7 && 0 < a6
random_InvokeMethod_122(o15, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_126(o15, a6, iconst_1, i6, env, static) :|: 0 <= o15 && 1 <= i6 && iconst_1 = 1 && 0 < o15 && 0 < a6
random_InvokeMethod_126(o15, a6, iconst_1, i6, env, static) -{1,1}> random_Return_129(i9, a6, iconst_1, i6, env, static) :|: 1 <= i6 && i9 <= o15 && 0 <= i9 && iconst_1 = 1 && 0 < o15 && 0 < a6
random_Return_129(i9, a6, iconst_1, i6, env, static) -{1,1}> main_Store_132(a6, i9, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= i9 && iconst_1 = 1 && 0 < a6
main_Store_132(a6, i9, iconst_1, i6, env, static) -{1,1}> main_InvokeMethod_135(a6, i9, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= i9 && iconst_1 = 1 && 0 < a6
main_InvokeMethod_135(a6, i9, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_137(a6, i9, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= i9 && iconst_1 = 1 && 0 < a6
random_FieldAccess_137(a6, i9, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_141(a6, i9, iconst_1, i6, env, static) :|: 0 <= a6 && 1 <= i6 && 0 <= i9 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6
random_FieldAccess_141(a6, i9, iconst_1, i6, env, static) -{1,1}> random_ArrayAccess_143(a6, iconst_1, i9, i6, env, static) :|: -1 * static <= iconst_1 && 1 <= i6 && iconst_1 <= static && 0 <= i9 && iconst_1 = 1 && 0 <= static && 0 < a6
random_ArrayAccess_143(a6, iconst_1, i9, i12, env, static) -{0,0}> random_ArrayAccess_159(a6, iconst_1, i9, i12, env, static) :|: 2 <= i12 && 0 <= i9 && iconst_1 = 1 && 0 < a6 && 1 <= i12
random_ArrayAccess_159(a6, iconst_1, i9, i12, env, static) -{1,1}> random_Store_168(o25, a6, i9, iconst_1, i12, env, static) :|: 2 <= i12 && 0 <= i9 && iconst_1 = 1 && o25 < a6 && 0 < a6 && 0 <= o25
random_Store_168(o25, a6, i9, iconst_1, i12, env, static) -{1,1}> random_FieldAccess_174(o25, a6, i9, iconst_1, i12, env, static) :|: 2 <= i12 && 0 <= i9 && iconst_1 = 1 && 0 < a6 && 0 <= o25
random_FieldAccess_174(o25, a6, i9, iconst_1, i12, env, static) -{1,1}> random_ConstantStackPush_193(iconst_1, o25, a6, i9, i12, env, static) :|: -1 * static <= iconst_1 && 2 <= i12 && iconst_1 <= static && 0 <= i9 && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= o25
random_ConstantStackPush_193(iconst_1, o25, a6, i9, i12, env, static) -{1,1}> random_IntArithmetic_203(iconst_1, o25, a6, i9, i12, env, static) :|: 2 <= i12 && 0 <= i9 && iconst_1 = 1 && 0 < a6 && 0 <= o25
random_IntArithmetic_203(iconst_1, o25, a6, i9, i12, env, static) -{1,1}> random_FieldAccess_208(iconst_2, o25, a6, i9, iconst_1, i12, env, static) :|: 2 <= i12 && 0 <= i9 && iconst_1 = 1 && 0 < a6 && 0 <= o25 && iconst_2 = 2
random_FieldAccess_208(iconst_2, o25, a6, i9, iconst_1, i12, env, static) -{1,1}> random_Load_212(o25, a6, i9, iconst_2, i12, env, static') :|: 2 <= i12 && 0 <= i9 && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= o25 && iconst_2 = 2 && static' <= static + iconst_2
random_Load_212(o25, a6, i9, iconst_2, i12, env, static) -{1,1}> random_InvokeMethod_216(o25, a6, i9, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i9 && 0 < a6 && 0 <= o25 && iconst_2 = 2
random_InvokeMethod_216(o50, a6, i9, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_219(o50, a6, i9, iconst_2, i12, env, static) :|: 0 < o50 && 2 <= i12 && 0 <= i9 && 0 <= o50 && 0 < a6 && iconst_2 = 2
random_InvokeMethod_219(o50, a6, i9, iconst_2, i12, env, static) -{1,1}> random_Return_224(i20, a6, i9, iconst_2, i12, env, static) :|: 0 <= i20 && 0 < o50 && 2 <= i12 && 0 <= i9 && 0 < a6 && i20 <= o50 && iconst_2 = 2
random_Return_224(i20, a6, i9, iconst_2, i12, env, static) -{1,1}> main_Store_229(a6, i20, i9, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 <= i9 && 0 < a6 && iconst_2 = 2
main_Store_229(a6, i20, i9, iconst_2, i12, env, static) -{1,1}> main_Load_233(a6, i9, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 <= i9 && 0 < a6 && iconst_2 = 2
main_Load_233(a6, i9, i20, iconst_2, i12, env, static) -{1,1}> main_Load_237(a6, i9, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 <= i9 && 0 < a6 && iconst_2 = 2
main_Load_237(a6, i9, i20, iconst_2, i12, env, static) -{1,1}> main_LE_242(a6, i9, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 <= i9 && 0 < a6 && iconst_2 = 2
main_LE_242(a6, i9, i20, iconst_2, i12, env, static) -{0,0}> main_LE_248(a6, i9, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 <= i9 && i20 < i9 && 0 < a6 && iconst_2 = 2
main_LE_248(a6, i9, i20, iconst_2, i12, env, static) -{1,1}> main_Load_256(a6, i9, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 <= i9 && 1 <= i9 && i20 < i9 && 0 < a6 && iconst_2 = 2
main_Load_256(a6, i9, i20, iconst_2, i12, env, static) -{1,1}> main_ConstantStackPush_270(a6, i20, i9, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 1 <= i9 && 0 < a6 && iconst_2 = 2
main_ConstantStackPush_270(a6, i20, i9, iconst_2, i12, env, static) -{1,1}> main_LE_276(a6, i20, iconst_2, i9, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 1 <= i9 && 0 < a6 && iconst_2 = 2
main_LE_276(a6, i25, iconst_2, i26, i12, env, static) -{0,0}> main_LE_285(a6, i25, iconst_2, i26, i12, env, static) :|: 0 <= i25 && 4 <= i26 && 2 <= i12 && 1 <= i26 && 0 < a6 && 3 <= i25 && iconst_2 = 2
main_LE_285(a6, i25, iconst_2, i26, i12, env, static) -{1,1}> main_Inc_313(a6, i26, i25, iconst_2, i12, env, static) :|: 4 <= i26 && 2 <= i12 && iconst_2 < i25 && 0 < a6 && 3 <= i25 && iconst_2 = 2
main_Inc_313(a6, i26, i25, iconst_2, i12, env, static) -{1,1}> main_ConstantStackPush_322(a6, i29, i25, iconst_2, i12, env, static) :|: 4 <= i26 && 2 <= i12 && 5 <= i29 && 0 < a6 && 3 <= i25 && iconst_2 = 2 && i26 + 1 = i29
main_ConstantStackPush_322(a6, i29, i25, iconst_2, i12, env, static) -{1,1}> main_Load_324(a6, iconst_2, i29, i25, i12, env, static) :|: 2 <= i12 && 5 <= i29 && 0 < a6 && 3 <= i25 && iconst_2 = 2
main_Load_324(a6, iconst_2, i29, i25, i12, env, static) -{1,1}> main_IntArithmetic_332(a6, iconst_2, i25, i29, i12, env, static) :|: 2 <= i12 && 5 <= i29 && 0 < a6 && 3 <= i25 && iconst_2 = 2
main_IntArithmetic_332(a6, iconst_2, i25, i29, i12, env, static) -{1,1}> main_Store_342(a6, i30, i29, iconst_2, i12, env, static) :|: 2 <= i12 && 5 <= i29 && 0 < a6 && 3 <= i25 && iconst_2 * i25 = i30 && iconst_2 = 2 && 6 <= i30
main_Store_342(a6, i30, i29, iconst_2, i12, env, static) -{1,1}> main_JMP_345(a6, i29, i30, iconst_2, i12, env, static) :|: 2 <= i12 && 5 <= i29 && 0 < a6 && iconst_2 = 2 && 6 <= i30
main_JMP_345(a6, i29, i30, iconst_2, i12, env, static) -{1,1}> main_Load_358(a6, i29, i30, iconst_2, i12, env, static) :|: 2 <= i12 && 5 <= i29 && 0 < a6 && iconst_2 = 2 && 6 <= i30
main_Load_358(a6, i29, i30, iconst_2, i12, env, static) -{0,0}> main_Load_233(a6, i29, i30, iconst_2, i12, env, static) :|: 0 <= i29 && 2 <= i12 && 0 <= i30 && 5 <= i29 && 0 < a6 && iconst_2 = 2 && 6 <= i30

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

obtained
main_Load_1(o1, env, static) -{46,46}> main_Load_233(o1, i9', i20', 2, i4', env, static'5) :|: 0 < 1 && static'4 <= static'3 + 1 && 0 < o1 && i20' <= o25' && 0 <= i9' && o25' < o1 && 0 <= i20' && 2 <= i4' && 0 <= 1 && 0 <= i4' && 1 <= static'4 && 0 < o25' && 0 <= o7' && -1 * static'4 <= 1 && 0 <= static'3 && 0 < 2 && 0 <= static''' && 0 <= static && static'3 <= static'2 + o1 && 0 <= static'1 && static''' <= static + 2 && o1 <= static'3 && -1 * static'3 <= 0 && static'2 <= static'1 + 0 && i9' <= o7' && 0 <= o1 && o7' < o1 && 0 <= static'2 && 0 <= 2 && 0 <= static'4 && o1 <= static'4 && 0 < o7' && static'1 <= static''' + 1 && 0 <= o25' && i4' < o1 && 1 <= i4' && static'5 <= static'4 + 2
by chaining
main_Load_1(o1, env, static) -{0,0}> main_Load_4(o1, env, static) :|: 0 < o1
main_Load_4(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_6(o1, env, static) :|: 0 < o1
langle_clinit_rangle_ConstantStackPush_6(o1, env, static) -{1,1}> langle_clinit_rangle_ArrayCreate_12(iconst_0, o1, env, static) :|: iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ArrayCreate_12(iconst_0, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_14(a2, o1, iconst_0, env, static) :|: a2 = 2 && iconst_0 = 0 && 0 < a2 && 0 < o1
langle_clinit_rangle_FieldAccess_14(a2, o1, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_16(o1, env, static') :|: 0 <= a2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2 && 0 < o1
langle_clinit_rangle_New_16(o1, env, static) -{0,0}> langle_clinit_rangle_New_18(o1, env, static) :|: 0 < o1
langle_clinit_rangle_New_18(o1, env, static) -{0,0}> langle_clinit_rangle_New_19(o1, env, static) :|: 0 <= static && 0 < o1
langle_clinit_rangle_New_19(o1, env, static) -{1,1}> langle_clinit_rangle_Duplicate_20(o4, o1, env, static) :|: o4 = 1 && 0 < o4 && 0 < o1
langle_clinit_rangle_Duplicate_20(o4, o1, env, static) -{1,1}> langle_clinit_rangle_ConstantStackPush_22(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_ConstantStackPush_22(o4, o1, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_23(o4, NULL, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_clinit_rangle_InvokeMethod_23(o4, NULL, o1, env, static) -{1,1}> langle_init_rangle_Load_25(o4, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_init_rangle_Load_25(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_27(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_27(o4, o1, env, static) -{1,1}> langle_init_rangle_Load_28(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Load_28(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_30(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_30(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_33(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_33(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_35(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_35(o4, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_38(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_FieldAccess_38(o4, o1, env, static) -{1,1}> langle_clinit_rangle_Return_40(o1, env, static') :|: 0 <= o4 && 0 < o4 && 0 <= static && 0 < o1 && static' <= static + o4
langle_clinit_rangle_Return_40(o1, env, static) -{1,1}> main_Load_41(o1, env, static) :|: 0 < o1
main_Load_41(o1, env, static) -{0,0}> main_Load_42(o1, env, static) :|: 0 < o1
main_Load_42(o1, env, static) -{0,0}> main_Load_44(o1, env, static) :|: 0 <= static && 0 < o1
main_Load_44(o1, env, static) -{0,0}> main_Load_46(o1, env, static) :|: 0 < o1
main_Load_46(o1, env, static) -{0,0}> main_Load_48(o1, env, static) :|: 0 < o1
main_Load_48(o1, env, static) -{1,1}> main_FieldAccess_51(o1, env, static) :|: 0 < o1
main_FieldAccess_51(o1, env, static) -{0,0}> main_FieldAccess_53(o1, env, static) :|: 0 < o1
main_FieldAccess_53(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_55(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ConstantStackPush_55(o1, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_57(iconst_0, o1, NULL, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_FieldAccess_57(iconst_0, o1, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_59(o1, NULL, iconst_0, env, static') :|: NULL = 0 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0 && 0 < o1
langle_clinit_rangle_Return_59(o1, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_61(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
main_FieldAccess_61(o1, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_63(o1, iconst_0, env, static') :|: static' <= static + o1 && NULL = 0 && 0 <= o1 && iconst_0 = 0 && 0 <= static && 0 < o1
main_InvokeMethod_63(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_65(o1, iconst_0, env, static) :|: iconst_0 = 0 && 0 < o1
random_FieldAccess_65(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_67(o1, iconst_0, env, static) :|: 0 <= o1 && o1 <= static && iconst_0 = 0 && 0 <= static && 0 < o1
random_FieldAccess_67(o1, iconst_0, env, static) -{1,1}> random_ArrayAccess_69(o1, iconst_0, env, static) :|: -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static && 0 < o1
random_ArrayAccess_69(a6, iconst_0, env, static) -{0,0}> random_ArrayAccess_70(a6, iconst_0, i4, env, static) :|: 0 <= i4 && iconst_0 = 0 && 0 < a6 && i4 < a6
random_ArrayAccess_70(a6, iconst_0, i6, env, static) -{0,0}> random_ArrayAccess_74(a6, iconst_0, i6, env, static) :|: 0 <= i6 && 1 <= i6 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_74(a6, iconst_0, i6, env, static) -{1,1}> random_Store_78(o7, a6, iconst_0, i6, env, static) :|: 1 <= i6 && o7 < a6 && iconst_0 = 0 && 0 <= o7 && 0 < a6
random_Store_78(o7, a6, iconst_0, i6, env, static) -{1,1}> random_FieldAccess_80(o7, a6, iconst_0, i6, env, static) :|: 1 <= i6 && iconst_0 = 0 && 0 <= o7 && 0 < a6
random_FieldAccess_80(o7, a6, iconst_0, i6, env, static) -{1,1}> random_ConstantStackPush_94(iconst_0, o7, a6, i6, env, static) :|: 1 <= i6 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= o7 && 0 <= static && 0 < a6 && iconst_0 <= static
random_ConstantStackPush_94(iconst_0, o7, a6, i6, env, static) -{1,1}> random_IntArithmetic_97(iconst_0, iconst_1, o7, a6, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && iconst_0 = 0 && 0 <= o7 && 0 < a6
random_IntArithmetic_97(iconst_0, iconst_1, o7, a6, i6, env, static) -{1,1}> random_FieldAccess_99(iconst_1, o7, a6, iconst_0, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && iconst_0 = 0 && 0 <= o7 && 0 < a6
random_FieldAccess_99(iconst_1, o7, a6, iconst_0, i6, env, static) -{1,1}> random_Load_105(o7, a6, iconst_1, i6, env, static') :|: 1 <= i6 && iconst_1 = 1 && iconst_0 = 0 && 0 <= o7 && 0 <= static && 0 < a6 && static' <= static + iconst_1
random_Load_105(o7, a6, iconst_1, i6, env, static) -{1,1}> random_InvokeMethod_122(o7, a6, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 <= o7 && 0 < a6
random_InvokeMethod_122(o15, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_126(o15, a6, iconst_1, i6, env, static) :|: 0 <= o15 && 1 <= i6 && iconst_1 = 1 && 0 < o15 && 0 < a6
random_InvokeMethod_126(o15, a6, iconst_1, i6, env, static) -{1,1}> random_Return_129(i9, a6, iconst_1, i6, env, static) :|: 1 <= i6 && i9 <= o15 && 0 <= i9 && iconst_1 = 1 && 0 < o15 && 0 < a6
random_Return_129(i9, a6, iconst_1, i6, env, static) -{1,1}> main_Store_132(a6, i9, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= i9 && iconst_1 = 1 && 0 < a6
main_Store_132(a6, i9, iconst_1, i6, env, static) -{1,1}> main_InvokeMethod_135(a6, i9, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= i9 && iconst_1 = 1 && 0 < a6
main_InvokeMethod_135(a6, i9, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_137(a6, i9, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= i9 && iconst_1 = 1 && 0 < a6
random_FieldAccess_137(a6, i9, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_141(a6, i9, iconst_1, i6, env, static) :|: 0 <= a6 && 1 <= i6 && 0 <= i9 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6
random_FieldAccess_141(a6, i9, iconst_1, i6, env, static) -{1,1}> random_ArrayAccess_143(a6, iconst_1, i9, i6, env, static) :|: -1 * static <= iconst_1 && 1 <= i6 && iconst_1 <= static && 0 <= i9 && iconst_1 = 1 && 0 <= static && 0 < a6
random_ArrayAccess_143(a6, iconst_1, i9, i12, env, static) -{0,0}> random_ArrayAccess_159(a6, iconst_1, i9, i12, env, static) :|: 2 <= i12 && 0 <= i9 && iconst_1 = 1 && 0 < a6 && 1 <= i12
random_ArrayAccess_159(a6, iconst_1, i9, i12, env, static) -{1,1}> random_Store_168(o25, a6, i9, iconst_1, i12, env, static) :|: 2 <= i12 && 0 <= i9 && iconst_1 = 1 && o25 < a6 && 0 < a6 && 0 <= o25
random_Store_168(o25, a6, i9, iconst_1, i12, env, static) -{1,1}> random_FieldAccess_174(o25, a6, i9, iconst_1, i12, env, static) :|: 2 <= i12 && 0 <= i9 && iconst_1 = 1 && 0 < a6 && 0 <= o25
random_FieldAccess_174(o25, a6, i9, iconst_1, i12, env, static) -{1,1}> random_ConstantStackPush_193(iconst_1, o25, a6, i9, i12, env, static) :|: -1 * static <= iconst_1 && 2 <= i12 && iconst_1 <= static && 0 <= i9 && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= o25
random_ConstantStackPush_193(iconst_1, o25, a6, i9, i12, env, static) -{1,1}> random_IntArithmetic_203(iconst_1, o25, a6, i9, i12, env, static) :|: 2 <= i12 && 0 <= i9 && iconst_1 = 1 && 0 < a6 && 0 <= o25
random_IntArithmetic_203(iconst_1, o25, a6, i9, i12, env, static) -{1,1}> random_FieldAccess_208(iconst_2, o25, a6, i9, iconst_1, i12, env, static) :|: 2 <= i12 && 0 <= i9 && iconst_1 = 1 && 0 < a6 && 0 <= o25 && iconst_2 = 2
random_FieldAccess_208(iconst_2, o25, a6, i9, iconst_1, i12, env, static) -{1,1}> random_Load_212(o25, a6, i9, iconst_2, i12, env, static') :|: 2 <= i12 && 0 <= i9 && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= o25 && iconst_2 = 2 && static' <= static + iconst_2
random_Load_212(o25, a6, i9, iconst_2, i12, env, static) -{1,1}> random_InvokeMethod_216(o25, a6, i9, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i9 && 0 < a6 && 0 <= o25 && iconst_2 = 2
random_InvokeMethod_216(o50, a6, i9, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_219(o50, a6, i9, iconst_2, i12, env, static) :|: 0 < o50 && 2 <= i12 && 0 <= i9 && 0 <= o50 && 0 < a6 && iconst_2 = 2
random_InvokeMethod_219(o50, a6, i9, iconst_2, i12, env, static) -{1,1}> random_Return_224(i20, a6, i9, iconst_2, i12, env, static) :|: 0 <= i20 && 0 < o50 && 2 <= i12 && 0 <= i9 && 0 < a6 && i20 <= o50 && iconst_2 = 2
random_Return_224(i20, a6, i9, iconst_2, i12, env, static) -{1,1}> main_Store_229(a6, i20, i9, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 <= i9 && 0 < a6 && iconst_2 = 2
main_Store_229(a6, i20, i9, iconst_2, i12, env, static) -{1,1}> main_Load_233(a6, i9, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 <= i9 && 0 < a6 && iconst_2 = 2

obtained
main_Load_233(a6, i9, i20, 2, i12, env, static) -{12,12}> main_Load_233(a6, i29', i30', 2, i12, env, static) :|: 1 <= i9 && 6 <= i30' && i9 + 1 = i29' && 0 <= i20 && 0 < a6 && 2 < i20 && 5 <= i29' && 3 <= i20 && 0 <= i30' && 0 <= i29' && 2 <= i12 && 2 * i20 = i30' && 0 <= i9 && i20 < i9 && 4 <= i9
by chaining
main_Load_233(a6, i9, i20, iconst_2, i12, env, static) -{1,1}> main_Load_237(a6, i9, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 <= i9 && 0 < a6 && iconst_2 = 2
main_Load_237(a6, i9, i20, iconst_2, i12, env, static) -{1,1}> main_LE_242(a6, i9, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 <= i9 && 0 < a6 && iconst_2 = 2
main_LE_242(a6, i9, i20, iconst_2, i12, env, static) -{0,0}> main_LE_248(a6, i9, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 <= i9 && i20 < i9 && 0 < a6 && iconst_2 = 2
main_LE_248(a6, i9, i20, iconst_2, i12, env, static) -{1,1}> main_Load_256(a6, i9, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 <= i9 && 1 <= i9 && i20 < i9 && 0 < a6 && iconst_2 = 2
main_Load_256(a6, i9, i20, iconst_2, i12, env, static) -{1,1}> main_ConstantStackPush_270(a6, i20, i9, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 1 <= i9 && 0 < a6 && iconst_2 = 2
main_ConstantStackPush_270(a6, i20, i9, iconst_2, i12, env, static) -{1,1}> main_LE_276(a6, i20, iconst_2, i9, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 1 <= i9 && 0 < a6 && iconst_2 = 2
main_LE_276(a6, i25, iconst_2, i26, i12, env, static) -{0,0}> main_LE_285(a6, i25, iconst_2, i26, i12, env, static) :|: 0 <= i25 && 4 <= i26 && 2 <= i12 && 1 <= i26 && 0 < a6 && 3 <= i25 && iconst_2 = 2
main_LE_285(a6, i25, iconst_2, i26, i12, env, static) -{1,1}> main_Inc_313(a6, i26, i25, iconst_2, i12, env, static) :|: 4 <= i26 && 2 <= i12 && iconst_2 < i25 && 0 < a6 && 3 <= i25 && iconst_2 = 2
main_Inc_313(a6, i26, i25, iconst_2, i12, env, static) -{1,1}> main_ConstantStackPush_322(a6, i29, i25, iconst_2, i12, env, static) :|: 4 <= i26 && 2 <= i12 && 5 <= i29 && 0 < a6 && 3 <= i25 && iconst_2 = 2 && i26 + 1 = i29
main_ConstantStackPush_322(a6, i29, i25, iconst_2, i12, env, static) -{1,1}> main_Load_324(a6, iconst_2, i29, i25, i12, env, static) :|: 2 <= i12 && 5 <= i29 && 0 < a6 && 3 <= i25 && iconst_2 = 2
main_Load_324(a6, iconst_2, i29, i25, i12, env, static) -{1,1}> main_IntArithmetic_332(a6, iconst_2, i25, i29, i12, env, static) :|: 2 <= i12 && 5 <= i29 && 0 < a6 && 3 <= i25 && iconst_2 = 2
main_IntArithmetic_332(a6, iconst_2, i25, i29, i12, env, static) -{1,1}> main_Store_342(a6, i30, i29, iconst_2, i12, env, static) :|: 2 <= i12 && 5 <= i29 && 0 < a6 && 3 <= i25 && iconst_2 * i25 = i30 && iconst_2 = 2 && 6 <= i30
main_Store_342(a6, i30, i29, iconst_2, i12, env, static) -{1,1}> main_JMP_345(a6, i29, i30, iconst_2, i12, env, static) :|: 2 <= i12 && 5 <= i29 && 0 < a6 && iconst_2 = 2 && 6 <= i30
main_JMP_345(a6, i29, i30, iconst_2, i12, env, static) -{1,1}> main_Load_358(a6, i29, i30, iconst_2, i12, env, static) :|: 2 <= i12 && 5 <= i29 && 0 < a6 && iconst_2 = 2 && 6 <= i30
main_Load_358(a6, i29, i30, iconst_2, i12, env, static) -{0,0}> main_Load_233(a6, i29, i30, iconst_2, i12, env, static) :|: 0 <= i29 && 2 <= i12 && 0 <= i30 && 5 <= i29 && 0 < a6 && iconst_2 = 2 && 6 <= i30

(8) Obligation:

IntTrs with 2 rules
Start term: main_Load_1(args, env, static)
Considered paths: all paths from start
Rules:
main_Load_1(o1, env, static) -{46,46}> main_Load_233(o1, i9', i20', 2, i4', env, static'5) :|: 0 < 1 && static'4 <= static'3 + 1 && 0 < o1 && i20' <= o25' && 0 <= i9' && o25' < o1 && 0 <= i20' && 2 <= i4' && 0 <= 1 && 0 <= i4' && 1 <= static'4 && 0 < o25' && 0 <= o7' && -1 * static'4 <= 1 && 0 <= static'3 && 0 < 2 && 0 <= static''' && 0 <= static && static'3 <= static'2 + o1 && 0 <= static'1 && static''' <= static + 2 && o1 <= static'3 && -1 * static'3 <= 0 && static'2 <= static'1 + 0 && i9' <= o7' && 0 <= o1 && o7' < o1 && 0 <= static'2 && 0 <= 2 && 0 <= static'4 && o1 <= static'4 && 0 < o7' && static'1 <= static''' + 1 && 0 <= o25' && i4' < o1 && 1 <= i4' && static'5 <= static'4 + 2
main_Load_233(a6, i9, i20, 2, i12, env, static) -{12,12}> main_Load_233(a6, i29', i30', 2, i12, env, static) :|: 1 <= i9 && 6 <= i30' && i9 + 1 = i29' && 0 <= i20 && 0 < a6 && 2 < i20 && 5 <= i29' && 3 <= i20 && 0 <= i30' && 0 <= i29' && 2 <= i12 && 2 * i20 = i30' && 0 <= i9 && i20 < i9 && 4 <= i9

(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_1(x1, x2, x3) → main_Load_1(x1, x3)
main_Load_233(x1, x2, x3, x4, x5, x6, x7) → main_Load_233(x1, x2, x3, x5)

(10) Obligation:

IntTrs with 2 rules
Start term: main_Load_1(args, static)
Considered paths: all paths from start
Rules:
main_Load_1(o1, static) -{46,46}> main_Load_233(o1, i9', i20', i4') :|: 0 < 1 && static'4 <= static'3 + 1 && 0 < o1 && i20' <= o25' && 0 <= i9' && o25' < o1 && 0 <= i20' && 2 <= i4' && 0 <= 1 && 0 <= i4' && 1 <= static'4 && 0 < o25' && 0 <= o7' && -1 * static'4 <= 1 && 0 <= static'3 && 0 < 2 && 0 <= static''' && 0 <= static && static'3 <= static'2 + o1 && 0 <= static'1 && static''' <= static + 2 && o1 <= static'3 && -1 * static'3 <= 0 && static'2 <= static'1 + 0 && i9' <= o7' && 0 <= o1 && o7' < o1 && 0 <= static'2 && 0 <= 2 && 0 <= static'4 && o1 <= static'4 && 0 < o7' && static'1 <= static''' + 1 && 0 <= o25' && i4' < o1 && 1 <= i4' && static'5 <= static'4 + 2
main_Load_233(a6, i9, i20, i12) -{12,12}> main_Load_233(a6, i29', i30', i12) :|: 1 <= i9 && 6 <= i30' && i9 + 1 = i29' && 0 <= i20 && 0 < a6 && 2 < i20 && 5 <= i29' && 3 <= i20 && 0 <= i30' && 0 <= i29' && 2 <= i12 && 2 * i20 = i30' && 0 <= i9 && i20 < i9 && 4 <= i9

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

Moved arithmethic from constraints to rhss.

main_Load_233(a6, i9, i20, i12) -{12,12}> main_Load_233(a6, i29', i30', i12) :|: 1 <= i9 && 6 <= i30' && i9 + 1 = i29' && 0 <= i20 && 0 < a6 && 2 < i20 && 5 <= i29' && 3 <= i20 && 0 <= i30' && 0 <= i29' && 2 <= i12 && 2 * i20 = i30' && 0 <= i9 && i20 < i9 && 4 <= i9
was transformed to
main_Load_233(a6, i9, i20, i12) -{12,12}> main_Load_233(a6, i9 + 1, 2 * i20, i12) :|: 1 <= i9 && 6 <= i30' && i9 + 1 = i29' && 0 <= i20 && 0 < a6 && 2 < i20 && 5 <= i29' && 3 <= i20 && 0 <= i30' && 0 <= i29' && 2 <= i12 && 2 * i20 = i30' && 0 <= i9 && i20 < i9 && 4 <= i9

(12) Obligation:

IntTrs with 2 rules
Start term: main_Load_1(args, static)
Considered paths: all paths from start
Rules:
main_Load_233(a6, i9, i20, i12) -{12,12}> main_Load_233(a6, i9 + 1, 2 * i20, i12) :|: 1 <= i9 && 6 <= i30' && i9 + 1 = i29' && 0 <= i20 && 0 < a6 && 2 < i20 && 5 <= i29' && 3 <= i20 && 0 <= i30' && 0 <= i29' && 2 <= i12 && 2 * i20 = i30' && 0 <= i9 && i20 < i9 && 4 <= i9
main_Load_1(o1, static) -{46,46}> main_Load_233(o1, i9', i20', i4') :|: 0 < 1 && static'4 <= static'3 + 1 && 0 < o1 && i20' <= o25' && 0 <= i9' && o25' < o1 && 0 <= i20' && 2 <= i4' && 0 <= 1 && 0 <= i4' && 1 <= static'4 && 0 < o25' && 0 <= o7' && -1 * static'4 <= 1 && 0 <= static'3 && 0 < 2 && 0 <= static''' && 0 <= static && static'3 <= static'2 + o1 && 0 <= static'1 && static''' <= static + 2 && o1 <= static'3 && -1 * static'3 <= 0 && static'2 <= static'1 + 0 && i9' <= o7' && 0 <= o1 && o7' < o1 && 0 <= static'2 && 0 <= 2 && 0 <= static'4 && o1 <= static'4 && 0 < o7' && static'1 <= static''' + 1 && 0 <= o25' && i4' < o1 && 1 <= i4' && static'5 <= static'4 + 2

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

Simplified expressions.

main_Load_1(o1, static) -{46,46}> main_Load_233(o1, i9', i20', i4') :|: 0 < 1 && static'4 <= static'3 + 1 && 0 < o1 && i20' <= o25' && 0 <= i9' && o25' < o1 && 0 <= i20' && 2 <= i4' && 0 <= 1 && 0 <= i4' && 1 <= static'4 && 0 < o25' && 0 <= o7' && -1 * static'4 <= 1 && 0 <= static'3 && 0 < 2 && 0 <= static''' && 0 <= static && static'3 <= static'2 + o1 && 0 <= static'1 && static''' <= static + 2 && o1 <= static'3 && -1 * static'3 <= 0 && static'2 <= static'1 + 0 && i9' <= o7' && 0 <= o1 && o7' < o1 && 0 <= static'2 && 0 <= 2 && 0 <= static'4 && o1 <= static'4 && 0 < o7' && static'1 <= static''' + 1 && 0 <= o25' && i4' < o1 && 1 <= i4' && static'5 <= static'4 + 2
was transformed to
main_Load_1(o1, static) -{46,46}> main_Load_233(o1, i9', i20', i4') :|: static'4 <= static'3 + 1 && 0 < o1 && i20' <= o25' && 0 <= i9' && o25' < o1 && 0 <= i20' && 2 <= i4' && 0 <= i4' && 1 <= static'4 && 0 < o25' && -1 * static'4 <= 1 && 0 <= static'3 && 0 <= static''' && 0 <= static && static'3 <= static'2 + o1 && 0 <= static'1 && static''' <= static + 2 && o1 <= static'3 && -1 * static'3 <= 0 && static'2 <= static'1 && i9' <= o7' && o7' < o1 && 0 <= static'2 && 0 <= static'4 && o1 <= static'4 && 0 < o7' && static'1 <= static''' + 1 && i4' < o1 && 1 <= i4' && static'5 <= static'4 + 2

(14) Obligation:

IntTrs with 2 rules
Start term: main_Load_1(args, static)
Considered paths: all paths from start
Rules:
main_Load_1(o1, static) -{46,46}> main_Load_233(o1, i9', i20', i4') :|: static'4 <= static'3 + 1 && 0 < o1 && i20' <= o25' && 0 <= i9' && o25' < o1 && 0 <= i20' && 2 <= i4' && 0 <= i4' && 1 <= static'4 && 0 < o25' && -1 * static'4 <= 1 && 0 <= static'3 && 0 <= static''' && 0 <= static && static'3 <= static'2 + o1 && 0 <= static'1 && static''' <= static + 2 && o1 <= static'3 && -1 * static'3 <= 0 && static'2 <= static'1 && i9' <= o7' && o7' < o1 && 0 <= static'2 && 0 <= static'4 && o1 <= static'4 && 0 < o7' && static'1 <= static''' + 1 && i4' < o1 && 1 <= i4' && static'5 <= static'4 + 2
main_Load_233(a6, i9, i20, i12) -{12,12}> main_Load_233(a6, i9 + 1, 2 * i20, i12) :|: 1 <= i9 && 6 <= i30' && i9 + 1 = i29' && 0 <= i20 && 0 < a6 && 2 < i20 && 5 <= i29' && 3 <= i20 && 0 <= i30' && 0 <= i29' && 2 <= i12 && 2 * i20 = i30' && 0 <= i9 && i20 < i9 && 4 <= i9

(15) koat Proof (EQUIVALENT transformation)

YES(?, 12*ar_0 + 46)

Initial complexity problem:
1: T:
(Comp: ?, Cost: 46) main_Load_1(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_233(ar_0, i9', i20', i4')) [ static'4 <= static'3 + 1 /\ 0 < ar_0 /\ i20' <= o25' /\ 0 <= i9' /\ o25' < ar_0 /\ 0 <= i20' /\ 2 <= i4' /\ 0 <= i4' /\ 1 <= static'4 /\ 0 < o25' /\ -static'4 <= 1 /\ 0 <= static'3 /\ 0 <= static''' /\ 0 <= ar_1 /\ static'3 <= static'2 + ar_0 /\ 0 <= static'1 /\ static''' <= ar_1 + 2 /\ ar_0 <= static'3 /\ -static'3 <= 0 /\ static'2 <= static'1 /\ i9' <= o7' /\ o7' < ar_0 /\ 0 <= static'2 /\ 0 <= static'4 /\ ar_0 <= static'4 /\ 0 < o7' /\ static'1 <= static''' + 1 /\ i4' < ar_0 /\ 1 <= i4' /\ static'5 <= static'4 + 2 ]
(Comp: ?, Cost: 12) main_Load_233(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_233(ar_0, ar_1 + 1, 2*ar_2, ar_3)) [ 1 <= ar_1 /\ 6 <= i30' /\ ar_1 + 1 = i29' /\ 0 <= ar_2 /\ 0 < ar_0 /\ 2 < ar_2 /\ 5 <= i29' /\ 3 <= ar_2 /\ 0 <= i30' /\ 0 <= i29' /\ 2 <= ar_3 /\ 2*ar_2 = i30' /\ 0 <= ar_1 /\ ar_2 < ar_1 /\ 4 <= ar_1 ]
(Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_1(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: 1, Cost: 46) main_Load_1(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_233(ar_0, i9', i20', i4')) [ static'4 <= static'3 + 1 /\ 0 < ar_0 /\ i20' <= o25' /\ 0 <= i9' /\ o25' < ar_0 /\ 0 <= i20' /\ 2 <= i4' /\ 0 <= i4' /\ 1 <= static'4 /\ 0 < o25' /\ -static'4 <= 1 /\ 0 <= static'3 /\ 0 <= static''' /\ 0 <= ar_1 /\ static'3 <= static'2 + ar_0 /\ 0 <= static'1 /\ static''' <= ar_1 + 2 /\ ar_0 <= static'3 /\ -static'3 <= 0 /\ static'2 <= static'1 /\ i9' <= o7' /\ o7' < ar_0 /\ 0 <= static'2 /\ 0 <= static'4 /\ ar_0 <= static'4 /\ 0 < o7' /\ static'1 <= static''' + 1 /\ i4' < ar_0 /\ 1 <= i4' /\ static'5 <= static'4 + 2 ]
(Comp: ?, Cost: 12) main_Load_233(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_233(ar_0, ar_1 + 1, 2*ar_2, ar_3)) [ 1 <= ar_1 /\ 6 <= i30' /\ ar_1 + 1 = i29' /\ 0 <= ar_2 /\ 0 < ar_0 /\ 2 < ar_2 /\ 5 <= i29' /\ 3 <= ar_2 /\ 0 <= i30' /\ 0 <= i29' /\ 2 <= ar_3 /\ 2*ar_2 = i30' /\ 0 <= ar_1 /\ ar_2 < ar_1 /\ 4 <= ar_1 ]
(Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_1(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_1) = V_1
Pol(main_Load_233) = V_2 - V_3
Pol(koat_start) = V_1
orients all transitions weakly and the transition
main_Load_233(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_233(ar_0, ar_1 + 1, 2*ar_2, ar_3)) [ 1 <= ar_1 /\ 6 <= i30' /\ ar_1 + 1 = i29' /\ 0 <= ar_2 /\ 0 < ar_0 /\ 2 < ar_2 /\ 5 <= i29' /\ 3 <= ar_2 /\ 0 <= i30' /\ 0 <= i29' /\ 2 <= ar_3 /\ 2*ar_2 = i30' /\ 0 <= ar_1 /\ ar_2 < ar_1 /\ 4 <= ar_1 ]
strictly and produces the following problem:
3: T:
(Comp: 1, Cost: 46) main_Load_1(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_233(ar_0, i9', i20', i4')) [ static'4 <= static'3 + 1 /\ 0 < ar_0 /\ i20' <= o25' /\ 0 <= i9' /\ o25' < ar_0 /\ 0 <= i20' /\ 2 <= i4' /\ 0 <= i4' /\ 1 <= static'4 /\ 0 < o25' /\ -static'4 <= 1 /\ 0 <= static'3 /\ 0 <= static''' /\ 0 <= ar_1 /\ static'3 <= static'2 + ar_0 /\ 0 <= static'1 /\ static''' <= ar_1 + 2 /\ ar_0 <= static'3 /\ -static'3 <= 0 /\ static'2 <= static'1 /\ i9' <= o7' /\ o7' < ar_0 /\ 0 <= static'2 /\ 0 <= static'4 /\ ar_0 <= static'4 /\ 0 < o7' /\ static'1 <= static''' + 1 /\ i4' < ar_0 /\ 1 <= i4' /\ static'5 <= static'4 + 2 ]
(Comp: ar_0, Cost: 12) main_Load_233(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_233(ar_0, ar_1 + 1, 2*ar_2, ar_3)) [ 1 <= ar_1 /\ 6 <= i30' /\ ar_1 + 1 = i29' /\ 0 <= ar_2 /\ 0 < ar_0 /\ 2 < ar_2 /\ 5 <= i29' /\ 3 <= ar_2 /\ 0 <= i30' /\ 0 <= i29' /\ 2 <= ar_3 /\ 2*ar_2 = i30' /\ 0 <= ar_1 /\ ar_2 < ar_1 /\ 4 <= ar_1 ]
(Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_1(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]
start location: koat_start
leaf cost: 0

Complexity upper bound 12*ar_0 + 46

Time: 0.243 sec (SMT: 0.225 sec)

(16) BOUNDS(CONSTANT, 46 + 12 * |args|)

(17) TerminationGraphToComplexityProof (BOTH CONCRETE BOUNDS(ID, ADD(93)) transformation)

Extracted set of 82 edges for the analysis of TIME complexity. Kept leaves.

(18) Obligation:

Set of 82 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 82 jbc graph edges to a weighted ITS with 82 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.

(20) Obligation:

IntTrs with 82 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_1(o1, env, static) -{0,0}> main_Load_4(o1, env, static) :|: 0 < o1
main_Load_4(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_6(o1, env, static) :|: 0 < o1
langle_clinit_rangle_ConstantStackPush_6(o1, env, static) -{1,1}> langle_clinit_rangle_ArrayCreate_12(iconst_0, o1, env, static) :|: iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ArrayCreate_12(iconst_0, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_14(a2, o1, iconst_0, env, static) :|: a2 = 2 && iconst_0 = 0 && 0 < a2 && 0 < o1
langle_clinit_rangle_FieldAccess_14(a2, o1, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_16(o1, env, static') :|: 0 <= a2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2 && 0 < o1
langle_clinit_rangle_New_16(o1, env, static) -{0,0}> langle_clinit_rangle_New_18(o1, env, static) :|: 0 < o1
langle_clinit_rangle_New_18(o1, env, static) -{0,0}> langle_clinit_rangle_New_19(o1, env, static) :|: 0 <= static && 0 < o1
langle_clinit_rangle_New_19(o1, env, static) -{1,1}> langle_clinit_rangle_Duplicate_20(o4, o1, env, static) :|: o4 = 1 && 0 < o4 && 0 < o1
langle_clinit_rangle_Duplicate_20(o4, o1, env, static) -{1,1}> langle_clinit_rangle_ConstantStackPush_22(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_ConstantStackPush_22(o4, o1, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_23(o4, NULL, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_clinit_rangle_InvokeMethod_23(o4, NULL, o1, env, static) -{1,1}> langle_init_rangle_Load_25(o4, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_init_rangle_Load_25(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_27(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_27(o4, o1, env, static) -{1,1}> langle_init_rangle_Load_28(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Load_28(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_30(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_30(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_33(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_33(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_35(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_35(o4, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_38(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_FieldAccess_38(o4, o1, env, static) -{1,1}> langle_clinit_rangle_Return_40(o1, env, static') :|: 0 <= o4 && 0 < o4 && 0 <= static && 0 < o1 && static' <= static + o4
langle_clinit_rangle_Return_40(o1, env, static) -{1,1}> main_Load_41(o1, env, static) :|: 0 < o1
main_Load_41(o1, env, static) -{0,0}> main_Load_42(o1, env, static) :|: 0 < o1
main_Load_42(o1, env, static) -{0,0}> main_Load_44(o1, env, static) :|: 0 <= static && 0 < o1
main_Load_44(o1, env, static) -{0,0}> main_Load_46(o1, env, static) :|: 0 < o1
main_Load_46(o1, env, static) -{0,0}> main_Load_48(o1, env, static) :|: 0 < o1
main_Load_48(o1, env, static) -{1,1}> main_FieldAccess_51(o1, env, static) :|: 0 < o1
main_FieldAccess_51(o1, env, static) -{0,0}> main_FieldAccess_53(o1, env, static) :|: 0 < o1
main_FieldAccess_53(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_55(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ConstantStackPush_55(o1, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_57(iconst_0, o1, NULL, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_FieldAccess_57(iconst_0, o1, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_59(o1, NULL, iconst_0, env, static') :|: NULL = 0 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0 && 0 < o1
langle_clinit_rangle_Return_59(o1, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_61(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
main_FieldAccess_61(o1, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_63(o1, iconst_0, env, static') :|: static' <= static + o1 && NULL = 0 && 0 <= o1 && iconst_0 = 0 && 0 <= static && 0 < o1
main_InvokeMethod_63(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_65(o1, iconst_0, env, static) :|: iconst_0 = 0 && 0 < o1
random_FieldAccess_65(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_67(o1, iconst_0, env, static) :|: 0 <= o1 && o1 <= static && iconst_0 = 0 && 0 <= static && 0 < o1
random_FieldAccess_67(o1, iconst_0, env, static) -{1,1}> random_ArrayAccess_69(o1, iconst_0, env, static) :|: -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static && 0 < o1
random_ArrayAccess_69(a6, iconst_0, env, static) -{0,0}> random_ArrayAccess_70(a6, iconst_0, i4, env, static) :|: 0 <= i4 && iconst_0 = 0 && 0 < a6 && i4 < a6
random_ArrayAccess_70(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_70(a6, iconst_0, i6, env, static) -{0,0}> random_ArrayAccess_74(a6, iconst_0, i6, env, static) :|: 0 <= i6 && 1 <= i6 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_74(a6, iconst_0, i6, env, static) -{1,1}> random_Store_78(o7, a6, iconst_0, i6, env, static) :|: 1 <= i6 && o7 < a6 && iconst_0 = 0 && 0 <= o7 && 0 < a6
random_Store_78(o7, a6, iconst_0, i6, env, static) -{1,1}> random_FieldAccess_80(o7, a6, iconst_0, i6, env, static) :|: 1 <= i6 && iconst_0 = 0 && 0 <= o7 && 0 < a6
random_FieldAccess_80(o7, a6, iconst_0, i6, env, static) -{1,1}> random_ConstantStackPush_94(iconst_0, o7, a6, i6, env, static) :|: 1 <= i6 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= o7 && 0 <= static && 0 < a6 && iconst_0 <= static
random_ConstantStackPush_94(iconst_0, o7, a6, i6, env, static) -{1,1}> random_IntArithmetic_97(iconst_0, iconst_1, o7, a6, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && iconst_0 = 0 && 0 <= o7 && 0 < a6
random_IntArithmetic_97(iconst_0, iconst_1, o7, a6, i6, env, static) -{1,1}> random_FieldAccess_99(iconst_1, o7, a6, iconst_0, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && iconst_0 = 0 && 0 <= o7 && 0 < a6
random_FieldAccess_99(iconst_1, o7, a6, iconst_0, i6, env, static) -{1,1}> random_Load_105(o7, a6, iconst_1, i6, env, static') :|: 1 <= i6 && iconst_1 = 1 && iconst_0 = 0 && 0 <= o7 && 0 <= static && 0 < a6 && static' <= static + iconst_1
random_Load_105(o7, a6, iconst_1, i6, env, static) -{1,1}> random_InvokeMethod_122(o7, a6, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 <= o7 && 0 < a6
random_InvokeMethod_122(o15, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_126(o15, a6, iconst_1, i6, env, static) :|: 0 <= o15 && 1 <= i6 && iconst_1 = 1 && 0 < o15 && 0 < a6
random_InvokeMethod_122(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_127(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
random_InvokeMethod_126(o15, a6, iconst_1, i6, env, static) -{1,1}> random_Return_129(i9, a6, iconst_1, i6, env, static) :|: 1 <= i6 && i9 <= o15 && 0 <= i9 && iconst_1 = 1 && 0 < o15 && 0 < a6
random_Return_129(i9, a6, iconst_1, i6, env, static) -{1,1}> main_Store_132(a6, i9, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= i9 && iconst_1 = 1 && 0 < a6
main_Store_132(a6, i9, iconst_1, i6, env, static) -{1,1}> main_InvokeMethod_135(a6, i9, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= i9 && iconst_1 = 1 && 0 < a6
main_InvokeMethod_135(a6, i9, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_137(a6, i9, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= i9 && iconst_1 = 1 && 0 < a6
random_FieldAccess_137(a6, i9, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_141(a6, i9, iconst_1, i6, env, static) :|: 0 <= a6 && 1 <= i6 && 0 <= i9 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6
random_FieldAccess_141(a6, i9, iconst_1, i6, env, static) -{1,1}> random_ArrayAccess_143(a6, iconst_1, i9, i6, env, static) :|: -1 * static <= iconst_1 && 1 <= i6 && iconst_1 <= static && 0 <= i9 && iconst_1 = 1 && 0 <= static && 0 < a6
random_ArrayAccess_143(a6, iconst_1, i9, iconst_1, env, static) -{0,0}> random_ArrayAccess_158(a6, iconst_1, i9, env, static) :|: 1 <= iconst_1 && 0 <= i9 && iconst_1 = 1 && 0 < a6
random_ArrayAccess_143(a6, iconst_1, i9, i12, env, static) -{0,0}> random_ArrayAccess_159(a6, iconst_1, i9, i12, env, static) :|: 2 <= i12 && 0 <= i9 && iconst_1 = 1 && 0 < a6 && 1 <= i12
random_ArrayAccess_159(a6, iconst_1, i9, i12, env, static) -{1,1}> random_Store_168(o25, a6, i9, iconst_1, i12, env, static) :|: 2 <= i12 && 0 <= i9 && iconst_1 = 1 && o25 < a6 && 0 < a6 && 0 <= o25
random_Store_168(o25, a6, i9, iconst_1, i12, env, static) -{1,1}> random_FieldAccess_174(o25, a6, i9, iconst_1, i12, env, static) :|: 2 <= i12 && 0 <= i9 && iconst_1 = 1 && 0 < a6 && 0 <= o25
random_FieldAccess_174(o25, a6, i9, iconst_1, i12, env, static) -{1,1}> random_ConstantStackPush_193(iconst_1, o25, a6, i9, i12, env, static) :|: -1 * static <= iconst_1 && 2 <= i12 && iconst_1 <= static && 0 <= i9 && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= o25
random_ConstantStackPush_193(iconst_1, o25, a6, i9, i12, env, static) -{1,1}> random_IntArithmetic_203(iconst_1, o25, a6, i9, i12, env, static) :|: 2 <= i12 && 0 <= i9 && iconst_1 = 1 && 0 < a6 && 0 <= o25
random_IntArithmetic_203(iconst_1, o25, a6, i9, i12, env, static) -{1,1}> random_FieldAccess_208(iconst_2, o25, a6, i9, iconst_1, i12, env, static) :|: 2 <= i12 && 0 <= i9 && iconst_1 = 1 && 0 < a6 && 0 <= o25 && iconst_2 = 2
random_FieldAccess_208(iconst_2, o25, a6, i9, iconst_1, i12, env, static) -{1,1}> random_Load_212(o25, a6, i9, iconst_2, i12, env, static') :|: 2 <= i12 && 0 <= i9 && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= o25 && iconst_2 = 2 && static' <= static + iconst_2
random_Load_212(o25, a6, i9, iconst_2, i12, env, static) -{1,1}> random_InvokeMethod_216(o25, a6, i9, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i9 && 0 < a6 && 0 <= o25 && iconst_2 = 2
random_InvokeMethod_216(o50, a6, i9, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_219(o50, a6, i9, iconst_2, i12, env, static) :|: 0 < o50 && 2 <= i12 && 0 <= i9 && 0 <= o50 && 0 < a6 && iconst_2 = 2
random_InvokeMethod_216(NULL, a6, i9, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_220(NULL, a6, i9, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= i9 && 0 <= NULL && 0 < a6 && iconst_2 = 2
random_InvokeMethod_219(o50, a6, i9, iconst_2, i12, env, static) -{1,1}> random_Return_224(i20, a6, i9, iconst_2, i12, env, static) :|: 0 <= i20 && 0 < o50 && 2 <= i12 && 0 <= i9 && 0 < a6 && i20 <= o50 && iconst_2 = 2
random_Return_224(i20, a6, i9, iconst_2, i12, env, static) -{1,1}> main_Store_229(a6, i20, i9, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 <= i9 && 0 < a6 && iconst_2 = 2
main_Store_229(a6, i20, i9, iconst_2, i12, env, static) -{1,1}> main_Load_233(a6, i9, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 <= i9 && 0 < a6 && iconst_2 = 2
main_Load_233(a6, i9, i20, iconst_2, i12, env, static) -{1,1}> main_Load_237(a6, i9, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 <= i9 && 0 < a6 && iconst_2 = 2
main_Load_237(a6, i9, i20, iconst_2, i12, env, static) -{1,1}> main_LE_242(a6, i9, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 <= i9 && 0 < a6 && iconst_2 = 2
main_LE_242(a6, i9, i20, iconst_2, i12, env, static) -{0,0}> main_LE_246(a6, i9, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && i9 <= i20 && 0 <= i9 && 0 < a6 && iconst_2 = 2
main_LE_242(a6, i9, i20, iconst_2, i12, env, static) -{0,0}> main_LE_248(a6, i9, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 <= i9 && i20 < i9 && 0 < a6 && iconst_2 = 2
main_LE_248(a6, i9, i20, iconst_2, i12, env, static) -{1,1}> main_Load_256(a6, i9, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 <= i9 && 1 <= i9 && i20 < i9 && 0 < a6 && iconst_2 = 2
main_Load_256(a6, i9, i20, iconst_2, i12, env, static) -{1,1}> main_ConstantStackPush_270(a6, i20, i9, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 1 <= i9 && 0 < a6 && iconst_2 = 2
main_ConstantStackPush_270(a6, i20, i9, iconst_2, i12, env, static) -{1,1}> main_LE_276(a6, i20, iconst_2, i9, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 1 <= i9 && 0 < a6 && iconst_2 = 2
main_LE_276(a6, i24, iconst_2, i9, i12, env, static) -{0,0}> main_LE_284(a6, i24, iconst_2, i9, i12, env, static) :|: 0 <= i24 && 2 <= i12 && 1 <= i9 && i24 <= 2 && 0 < a6 && iconst_2 = 2
main_LE_276(a6, i25, iconst_2, i26, i12, env, static) -{0,0}> main_LE_285(a6, i25, iconst_2, i26, i12, env, static) :|: 0 <= i25 && 4 <= i26 && 2 <= i12 && 1 <= i26 && 0 < a6 && 3 <= i25 && iconst_2 = 2
main_LE_285(a6, i25, iconst_2, i26, i12, env, static) -{1,1}> main_Inc_313(a6, i26, i25, iconst_2, i12, env, static) :|: 4 <= i26 && 2 <= i12 && iconst_2 < i25 && 0 < a6 && 3 <= i25 && iconst_2 = 2
main_Inc_313(a6, i26, i25, iconst_2, i12, env, static) -{1,1}> main_ConstantStackPush_322(a6, i29, i25, iconst_2, i12, env, static) :|: 4 <= i26 && 2 <= i12 && 5 <= i29 && 0 < a6 && 3 <= i25 && iconst_2 = 2 && i26 + 1 = i29
main_ConstantStackPush_322(a6, i29, i25, iconst_2, i12, env, static) -{1,1}> main_Load_324(a6, iconst_2, i29, i25, i12, env, static) :|: 2 <= i12 && 5 <= i29 && 0 < a6 && 3 <= i25 && iconst_2 = 2
main_Load_324(a6, iconst_2, i29, i25, i12, env, static) -{1,1}> main_IntArithmetic_332(a6, iconst_2, i25, i29, i12, env, static) :|: 2 <= i12 && 5 <= i29 && 0 < a6 && 3 <= i25 && iconst_2 = 2
main_IntArithmetic_332(a6, iconst_2, i25, i29, i12, env, static) -{1,1}> main_Store_342(a6, i30, i29, iconst_2, i12, env, static) :|: 2 <= i12 && 5 <= i29 && 0 < a6 && 3 <= i25 && iconst_2 * i25 = i30 && iconst_2 = 2 && 6 <= i30
main_Store_342(a6, i30, i29, iconst_2, i12, env, static) -{1,1}> main_JMP_345(a6, i29, i30, iconst_2, i12, env, static) :|: 2 <= i12 && 5 <= i29 && 0 < a6 && iconst_2 = 2 && 6 <= i30
main_JMP_345(a6, i29, i30, iconst_2, i12, env, static) -{1,1}> main_Load_358(a6, i29, i30, iconst_2, i12, env, static) :|: 2 <= i12 && 5 <= i29 && 0 < a6 && iconst_2 = 2 && 6 <= i30
main_Load_358(a6, i29, i30, iconst_2, i12, env, static) -{0,0}> main_Load_233(a6, i29, i30, iconst_2, i12, env, static) :|: 0 <= i29 && 2 <= i12 && 0 <= i30 && 5 <= i29 && 0 < a6 && iconst_2 = 2 && 6 <= i30

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

obtained
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 <= 2 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
by chaining
main_Load_1(o1, env, static) -{0,0}> main_Load_4(o1, env, static) :|: 0 < o1
main_Load_4(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_6(o1, env, static) :|: 0 < o1
langle_clinit_rangle_ConstantStackPush_6(o1, env, static) -{1,1}> langle_clinit_rangle_ArrayCreate_12(iconst_0, o1, env, static) :|: iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ArrayCreate_12(iconst_0, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_14(a2, o1, iconst_0, env, static) :|: a2 = 2 && iconst_0 = 0 && 0 < a2 && 0 < o1
langle_clinit_rangle_FieldAccess_14(a2, o1, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_16(o1, env, static') :|: 0 <= a2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2 && 0 < o1
langle_clinit_rangle_New_16(o1, env, static) -{0,0}> langle_clinit_rangle_New_18(o1, env, static) :|: 0 < o1
langle_clinit_rangle_New_18(o1, env, static) -{0,0}> langle_clinit_rangle_New_19(o1, env, static) :|: 0 <= static && 0 < o1
langle_clinit_rangle_New_19(o1, env, static) -{1,1}> langle_clinit_rangle_Duplicate_20(o4, o1, env, static) :|: o4 = 1 && 0 < o4 && 0 < o1
langle_clinit_rangle_Duplicate_20(o4, o1, env, static) -{1,1}> langle_clinit_rangle_ConstantStackPush_22(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_ConstantStackPush_22(o4, o1, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_23(o4, NULL, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_clinit_rangle_InvokeMethod_23(o4, NULL, o1, env, static) -{1,1}> langle_init_rangle_Load_25(o4, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_init_rangle_Load_25(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_27(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_27(o4, o1, env, static) -{1,1}> langle_init_rangle_Load_28(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Load_28(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_30(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_30(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_33(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_33(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_35(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_35(o4, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_38(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_FieldAccess_38(o4, o1, env, static) -{1,1}> langle_clinit_rangle_Return_40(o1, env, static') :|: 0 <= o4 && 0 < o4 && 0 <= static && 0 < o1 && static' <= static + o4
langle_clinit_rangle_Return_40(o1, env, static) -{1,1}> main_Load_41(o1, env, static) :|: 0 < o1
main_Load_41(o1, env, static) -{0,0}> main_Load_42(o1, env, static) :|: 0 < o1
main_Load_42(o1, env, static) -{0,0}> main_Load_44(o1, env, static) :|: 0 <= static && 0 < o1
main_Load_44(o1, env, static) -{0,0}> main_Load_46(o1, env, static) :|: 0 < o1
main_Load_46(o1, env, static) -{0,0}> main_Load_48(o1, env, static) :|: 0 < o1
main_Load_48(o1, env, static) -{1,1}> main_FieldAccess_51(o1, env, static) :|: 0 < o1
main_FieldAccess_51(o1, env, static) -{0,0}> main_FieldAccess_53(o1, env, static) :|: 0 < o1
main_FieldAccess_53(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_55(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ConstantStackPush_55(o1, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_57(iconst_0, o1, NULL, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_FieldAccess_57(iconst_0, o1, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_59(o1, NULL, iconst_0, env, static') :|: NULL = 0 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0 && 0 < o1
langle_clinit_rangle_Return_59(o1, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_61(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
main_FieldAccess_61(o1, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_63(o1, iconst_0, env, static') :|: static' <= static + o1 && NULL = 0 && 0 <= o1 && iconst_0 = 0 && 0 <= static && 0 < o1
main_InvokeMethod_63(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_65(o1, iconst_0, env, static) :|: iconst_0 = 0 && 0 < o1
random_FieldAccess_65(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_67(o1, iconst_0, env, static) :|: 0 <= o1 && o1 <= static && iconst_0 = 0 && 0 <= static && 0 < o1
random_FieldAccess_67(o1, iconst_0, env, static) -{1,1}> random_ArrayAccess_69(o1, iconst_0, env, static) :|: -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static && 0 < o1
random_ArrayAccess_69(a6, iconst_0, env, static) -{0,0}> random_ArrayAccess_70(a6, iconst_0, i4, env, static) :|: 0 <= i4 && iconst_0 = 0 && 0 < a6 && i4 < a6

obtained
random_ArrayAccess_70(a6, 0, i6, env, static) -{7,7}> random_InvokeMethod_122(o7', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 0 <= o7' && 0 <= static && 1 <= i6 && o7' < a6 && -1 * static <= 0 && static'4 <= static + 1
by chaining
random_ArrayAccess_70(a6, iconst_0, i6, env, static) -{0,0}> random_ArrayAccess_74(a6, iconst_0, i6, env, static) :|: 0 <= i6 && 1 <= i6 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_74(a6, iconst_0, i6, env, static) -{1,1}> random_Store_78(o7, a6, iconst_0, i6, env, static) :|: 1 <= i6 && o7 < a6 && iconst_0 = 0 && 0 <= o7 && 0 < a6
random_Store_78(o7, a6, iconst_0, i6, env, static) -{1,1}> random_FieldAccess_80(o7, a6, iconst_0, i6, env, static) :|: 1 <= i6 && iconst_0 = 0 && 0 <= o7 && 0 < a6
random_FieldAccess_80(o7, a6, iconst_0, i6, env, static) -{1,1}> random_ConstantStackPush_94(iconst_0, o7, a6, i6, env, static) :|: 1 <= i6 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= o7 && 0 <= static && 0 < a6 && iconst_0 <= static
random_ConstantStackPush_94(iconst_0, o7, a6, i6, env, static) -{1,1}> random_IntArithmetic_97(iconst_0, iconst_1, o7, a6, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && iconst_0 = 0 && 0 <= o7 && 0 < a6
random_IntArithmetic_97(iconst_0, iconst_1, o7, a6, i6, env, static) -{1,1}> random_FieldAccess_99(iconst_1, o7, a6, iconst_0, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && iconst_0 = 0 && 0 <= o7 && 0 < a6
random_FieldAccess_99(iconst_1, o7, a6, iconst_0, i6, env, static) -{1,1}> random_Load_105(o7, a6, iconst_1, i6, env, static') :|: 1 <= i6 && iconst_1 = 1 && iconst_0 = 0 && 0 <= o7 && 0 <= static && 0 < a6 && static' <= static + iconst_1
random_Load_105(o7, a6, iconst_1, i6, env, static) -{1,1}> random_InvokeMethod_122(o7, a6, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 <= o7 && 0 < a6

obtained
random_InvokeMethod_122(o15, a6, 1, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i9', i6, env, static) :|: 0 <= a6 && 0 < a6 && i9' <= o15 && 0 <= static && 0 <= i9' && a6 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 <= o15 && 0 < o15
by chaining
random_InvokeMethod_122(o15, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_126(o15, a6, iconst_1, i6, env, static) :|: 0 <= o15 && 1 <= i6 && iconst_1 = 1 && 0 < o15 && 0 < a6
random_InvokeMethod_126(o15, a6, iconst_1, i6, env, static) -{1,1}> random_Return_129(i9, a6, iconst_1, i6, env, static) :|: 1 <= i6 && i9 <= o15 && 0 <= i9 && iconst_1 = 1 && 0 < o15 && 0 < a6
random_Return_129(i9, a6, iconst_1, i6, env, static) -{1,1}> main_Store_132(a6, i9, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= i9 && iconst_1 = 1 && 0 < a6
main_Store_132(a6, i9, iconst_1, i6, env, static) -{1,1}> main_InvokeMethod_135(a6, i9, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= i9 && iconst_1 = 1 && 0 < a6
main_InvokeMethod_135(a6, i9, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_137(a6, i9, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= i9 && iconst_1 = 1 && 0 < a6
random_FieldAccess_137(a6, i9, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_141(a6, i9, iconst_1, i6, env, static) :|: 0 <= a6 && 1 <= i6 && 0 <= i9 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6
random_FieldAccess_141(a6, i9, iconst_1, i6, env, static) -{1,1}> random_ArrayAccess_143(a6, iconst_1, i9, i6, env, static) :|: -1 * static <= iconst_1 && 1 <= i6 && iconst_1 <= static && 0 <= i9 && iconst_1 = 1 && 0 <= static && 0 < a6

obtained
random_ArrayAccess_143(a6, 1, i9, i12, env, static) -{7,7}> random_InvokeMethod_216(o25', a6, i9, 2, i12, env, static'5) :|: o25' < a6 && 1 <= i12 && 0 <= o25' && 0 <= static && 0 < a6 && 2 <= i12 && 0 <= i9 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2
by chaining
random_ArrayAccess_143(a6, iconst_1, i9, i12, env, static) -{0,0}> random_ArrayAccess_159(a6, iconst_1, i9, i12, env, static) :|: 2 <= i12 && 0 <= i9 && iconst_1 = 1 && 0 < a6 && 1 <= i12
random_ArrayAccess_159(a6, iconst_1, i9, i12, env, static) -{1,1}> random_Store_168(o25, a6, i9, iconst_1, i12, env, static) :|: 2 <= i12 && 0 <= i9 && iconst_1 = 1 && o25 < a6 && 0 < a6 && 0 <= o25
random_Store_168(o25, a6, i9, iconst_1, i12, env, static) -{1,1}> random_FieldAccess_174(o25, a6, i9, iconst_1, i12, env, static) :|: 2 <= i12 && 0 <= i9 && iconst_1 = 1 && 0 < a6 && 0 <= o25
random_FieldAccess_174(o25, a6, i9, iconst_1, i12, env, static) -{1,1}> random_ConstantStackPush_193(iconst_1, o25, a6, i9, i12, env, static) :|: -1 * static <= iconst_1 && 2 <= i12 && iconst_1 <= static && 0 <= i9 && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= o25
random_ConstantStackPush_193(iconst_1, o25, a6, i9, i12, env, static) -{1,1}> random_IntArithmetic_203(iconst_1, o25, a6, i9, i12, env, static) :|: 2 <= i12 && 0 <= i9 && iconst_1 = 1 && 0 < a6 && 0 <= o25
random_IntArithmetic_203(iconst_1, o25, a6, i9, i12, env, static) -{1,1}> random_FieldAccess_208(iconst_2, o25, a6, i9, iconst_1, i12, env, static) :|: 2 <= i12 && 0 <= i9 && iconst_1 = 1 && 0 < a6 && 0 <= o25 && iconst_2 = 2
random_FieldAccess_208(iconst_2, o25, a6, i9, iconst_1, i12, env, static) -{1,1}> random_Load_212(o25, a6, i9, iconst_2, i12, env, static') :|: 2 <= i12 && 0 <= i9 && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= o25 && iconst_2 = 2 && static' <= static + iconst_2
random_Load_212(o25, a6, i9, iconst_2, i12, env, static) -{1,1}> random_InvokeMethod_216(o25, a6, i9, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i9 && 0 < a6 && 0 <= o25 && iconst_2 = 2

obtained
random_InvokeMethod_216(o50, a6, i9, 2, i12, env, static) -{3,3}> main_Load_233(a6, i9, i20', 2, i12, env, static) :|: i20' <= o50 && 0 <= o50 && 0 < a6 && 0 <= i9 && 0 < o50 && 0 <= i20' && 2 <= i12
by chaining
random_InvokeMethod_216(o50, a6, i9, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_219(o50, a6, i9, iconst_2, i12, env, static) :|: 0 < o50 && 2 <= i12 && 0 <= i9 && 0 <= o50 && 0 < a6 && iconst_2 = 2
random_InvokeMethod_219(o50, a6, i9, iconst_2, i12, env, static) -{1,1}> random_Return_224(i20, a6, i9, iconst_2, i12, env, static) :|: 0 <= i20 && 0 < o50 && 2 <= i12 && 0 <= i9 && 0 < a6 && i20 <= o50 && iconst_2 = 2
random_Return_224(i20, a6, i9, iconst_2, i12, env, static) -{1,1}> main_Store_229(a6, i20, i9, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 <= i9 && 0 < a6 && iconst_2 = 2
main_Store_229(a6, i20, i9, iconst_2, i12, env, static) -{1,1}> main_Load_233(a6, i9, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 <= i9 && 0 < a6 && iconst_2 = 2

obtained
main_Load_233(a6, i9, i20, 2, i12, env, static) -{2,2}> main_LE_242(a6, i9, i20, 2, i12, env, static) :|: 0 < a6 && 0 <= i9 && 0 <= i20 && 2 <= i12
by chaining
main_Load_233(a6, i9, i20, iconst_2, i12, env, static) -{1,1}> main_Load_237(a6, i9, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 <= i9 && 0 < a6 && iconst_2 = 2
main_Load_237(a6, i9, i20, iconst_2, i12, env, static) -{1,1}> main_LE_242(a6, i9, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 <= i9 && 0 < a6 && iconst_2 = 2

obtained
main_LE_242(a6, i9, i20, 2, i12, env, static) -{3,3}> main_LE_276(a6, i20, 2, i9, i12, env, static) :|: i20 < i9 && 0 <= i9 && 0 < a6 && 1 <= i9 && 0 <= i20 && 2 <= i12
by chaining
main_LE_242(a6, i9, i20, iconst_2, i12, env, static) -{0,0}> main_LE_248(a6, i9, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 <= i9 && i20 < i9 && 0 < a6 && iconst_2 = 2
main_LE_248(a6, i9, i20, iconst_2, i12, env, static) -{1,1}> main_Load_256(a6, i9, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 <= i9 && 1 <= i9 && i20 < i9 && 0 < a6 && iconst_2 = 2
main_Load_256(a6, i9, i20, iconst_2, i12, env, static) -{1,1}> main_ConstantStackPush_270(a6, i20, i9, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 1 <= i9 && 0 < a6 && iconst_2 = 2
main_ConstantStackPush_270(a6, i20, i9, iconst_2, i12, env, static) -{1,1}> main_LE_276(a6, i20, iconst_2, i9, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 1 <= i9 && 0 < a6 && iconst_2 = 2

obtained
main_LE_276(a6, i25, 2, i26, i12, env, static) -{7,7}> main_Load_233(a6, i29', i30', 2, i12, env, static) :|: 0 <= i25 && 6 <= i30' && i26 + 1 = i29' && 4 <= i26 && 0 < a6 && 5 <= i29' && 2 <= i12 && 0 <= i30' && 3 <= i25 && 0 <= i29' && 2 * i25 = i30' && 2 < i25 && 1 <= i26
by chaining
main_LE_276(a6, i25, iconst_2, i26, i12, env, static) -{0,0}> main_LE_285(a6, i25, iconst_2, i26, i12, env, static) :|: 0 <= i25 && 4 <= i26 && 2 <= i12 && 1 <= i26 && 0 < a6 && 3 <= i25 && iconst_2 = 2
main_LE_285(a6, i25, iconst_2, i26, i12, env, static) -{1,1}> main_Inc_313(a6, i26, i25, iconst_2, i12, env, static) :|: 4 <= i26 && 2 <= i12 && iconst_2 < i25 && 0 < a6 && 3 <= i25 && iconst_2 = 2
main_Inc_313(a6, i26, i25, iconst_2, i12, env, static) -{1,1}> main_ConstantStackPush_322(a6, i29, i25, iconst_2, i12, env, static) :|: 4 <= i26 && 2 <= i12 && 5 <= i29 && 0 < a6 && 3 <= i25 && iconst_2 = 2 && i26 + 1 = i29
main_ConstantStackPush_322(a6, i29, i25, iconst_2, i12, env, static) -{1,1}> main_Load_324(a6, iconst_2, i29, i25, i12, env, static) :|: 2 <= i12 && 5 <= i29 && 0 < a6 && 3 <= i25 && iconst_2 = 2
main_Load_324(a6, iconst_2, i29, i25, i12, env, static) -{1,1}> main_IntArithmetic_332(a6, iconst_2, i25, i29, i12, env, static) :|: 2 <= i12 && 5 <= i29 && 0 < a6 && 3 <= i25 && iconst_2 = 2
main_IntArithmetic_332(a6, iconst_2, i25, i29, i12, env, static) -{1,1}> main_Store_342(a6, i30, i29, iconst_2, i12, env, static) :|: 2 <= i12 && 5 <= i29 && 0 < a6 && 3 <= i25 && iconst_2 * i25 = i30 && iconst_2 = 2 && 6 <= i30
main_Store_342(a6, i30, i29, iconst_2, i12, env, static) -{1,1}> main_JMP_345(a6, i29, i30, iconst_2, i12, env, static) :|: 2 <= i12 && 5 <= i29 && 0 < a6 && iconst_2 = 2 && 6 <= i30
main_JMP_345(a6, i29, i30, iconst_2, i12, env, static) -{1,1}> main_Load_358(a6, i29, i30, iconst_2, i12, env, static) :|: 2 <= i12 && 5 <= i29 && 0 < a6 && iconst_2 = 2 && 6 <= i30
main_Load_358(a6, i29, i30, iconst_2, i12, env, static) -{0,0}> main_Load_233(a6, i29, i30, iconst_2, i12, env, static) :|: 0 <= i29 && 2 <= i12 && 0 <= i30 && 5 <= i29 && 0 < a6 && iconst_2 = 2 && 6 <= i30

(22) Obligation:

IntTrs with 14 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 <= 2 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
random_ArrayAccess_70(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_70(a6, 0, i6, env, static) -{7,7}> random_InvokeMethod_122(o7', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 0 <= o7' && 0 <= static && 1 <= i6 && o7' < a6 && -1 * static <= 0 && static'4 <= static + 1
random_InvokeMethod_122(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_127(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
random_InvokeMethod_122(o15, a6, 1, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i9', i6, env, static) :|: 0 <= a6 && 0 < a6 && i9' <= o15 && 0 <= static && 0 <= i9' && a6 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 <= o15 && 0 < o15
random_ArrayAccess_143(a6, iconst_1, i9, iconst_1, env, static) -{0,0}> random_ArrayAccess_158(a6, iconst_1, i9, env, static) :|: 1 <= iconst_1 && 0 <= i9 && iconst_1 = 1 && 0 < a6
random_ArrayAccess_143(a6, 1, i9, i12, env, static) -{7,7}> random_InvokeMethod_216(o25', a6, i9, 2, i12, env, static'5) :|: o25' < a6 && 1 <= i12 && 0 <= o25' && 0 <= static && 0 < a6 && 2 <= i12 && 0 <= i9 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2
random_InvokeMethod_216(NULL, a6, i9, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_220(NULL, a6, i9, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= i9 && 0 <= NULL && 0 < a6 && iconst_2 = 2
random_InvokeMethod_216(o50, a6, i9, 2, i12, env, static) -{3,3}> main_Load_233(a6, i9, i20', 2, i12, env, static) :|: i20' <= o50 && 0 <= o50 && 0 < a6 && 0 <= i9 && 0 < o50 && 0 <= i20' && 2 <= i12
main_Load_233(a6, i9, i20, 2, i12, env, static) -{2,2}> main_LE_242(a6, i9, i20, 2, i12, env, static) :|: 0 < a6 && 0 <= i9 && 0 <= i20 && 2 <= i12
main_LE_242(a6, i9, i20, iconst_2, i12, env, static) -{0,0}> main_LE_246(a6, i9, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && i9 <= i20 && 0 <= i9 && 0 < a6 && iconst_2 = 2
main_LE_242(a6, i9, i20, 2, i12, env, static) -{3,3}> main_LE_276(a6, i20, 2, i9, i12, env, static) :|: i20 < i9 && 0 <= i9 && 0 < a6 && 1 <= i9 && 0 <= i20 && 2 <= i12
main_LE_276(a6, i24, iconst_2, i9, i12, env, static) -{0,0}> main_LE_284(a6, i24, iconst_2, i9, i12, env, static) :|: 0 <= i24 && 2 <= i12 && 1 <= i9 && i24 <= 2 && 0 < a6 && iconst_2 = 2
main_LE_276(a6, i25, 2, i26, i12, env, static) -{7,7}> main_Load_233(a6, i29', i30', 2, i12, env, static) :|: 0 <= i25 && 6 <= i30' && i26 + 1 = i29' && 4 <= i26 && 0 < a6 && 5 <= i29' && 2 <= i12 && 0 <= i30' && 3 <= i25 && 0 <= i29' && 2 * i25 = i30' && 2 < i25 && 1 <= i26

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

Moved arithmethic from lhss to constraints.

random_ArrayAccess_70(a6, 0, i6, env, static) -{7,7}> random_InvokeMethod_122(o7', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 0 <= o7' && 0 <= static && 1 <= i6 && o7' < a6 && -1 * static <= 0 && static'4 <= static + 1
was transformed to
random_ArrayAccess_70(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_122(o7', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 0 <= o7' && 0 <= static && 1 <= i6 && o7' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0

random_ArrayAccess_143(a6, 1, i9, i12, env, static) -{7,7}> random_InvokeMethod_216(o25', a6, i9, 2, i12, env, static'5) :|: o25' < a6 && 1 <= i12 && 0 <= o25' && 0 <= static && 0 < a6 && 2 <= i12 && 0 <= i9 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2
was transformed to
random_ArrayAccess_143(a6, x, i9, i12, env, static) -{7,7}> random_InvokeMethod_216(o25', a6, i9, 2, i12, env, static'5) :|: o25' < a6 && 1 <= i12 && 0 <= o25' && 0 <= static && 0 < a6 && 2 <= i12 && 0 <= i9 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1

random_InvokeMethod_216(o50, a6, i9, 2, i12, env, static) -{3,3}> main_Load_233(a6, i9, i20', 2, i12, env, static) :|: i20' <= o50 && 0 <= o50 && 0 < a6 && 0 <= i9 && 0 < o50 && 0 <= i20' && 2 <= i12
was transformed to
random_InvokeMethod_216(o50, a6, i9, x, i12, env, static) -{3,3}> main_Load_233(a6, i9, i20', 2, i12, env, static) :|: i20' <= o50 && 0 <= o50 && 0 < a6 && 0 <= i9 && 0 < o50 && 0 <= i20' && 2 <= i12 && x = 2

main_LE_276(a6, i25, 2, i26, i12, env, static) -{7,7}> main_Load_233(a6, i29', i30', 2, i12, env, static) :|: 0 <= i25 && 6 <= i30' && i26 + 1 = i29' && 4 <= i26 && 0 < a6 && 5 <= i29' && 2 <= i12 && 0 <= i30' && 3 <= i25 && 0 <= i29' && 2 * i25 = i30' && 2 < i25 && 1 <= i26
was transformed to
main_LE_276(a6, i25, x, i26, i12, env, static) -{7,7}> main_Load_233(a6, i29', i30', 2, i12, env, static) :|: 0 <= i25 && 6 <= i30' && i26 + 1 = i29' && 4 <= i26 && 0 < a6 && 5 <= i29' && 2 <= i12 && 0 <= i30' && 3 <= i25 && 0 <= i29' && 2 * i25 = i30' && 2 < i25 && 1 <= i26 && x = 2

main_Load_233(a6, i9, i20, 2, i12, env, static) -{2,2}> main_LE_242(a6, i9, i20, 2, i12, env, static) :|: 0 < a6 && 0 <= i9 && 0 <= i20 && 2 <= i12
was transformed to
main_Load_233(a6, i9, i20, x, i12, env, static) -{2,2}> main_LE_242(a6, i9, i20, 2, i12, env, static) :|: 0 < a6 && 0 <= i9 && 0 <= i20 && 2 <= i12 && x = 2

random_InvokeMethod_122(o15, a6, 1, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i9', i6, env, static) :|: 0 <= a6 && 0 < a6 && i9' <= o15 && 0 <= static && 0 <= i9' && a6 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 <= o15 && 0 < o15
was transformed to
random_InvokeMethod_122(o15, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i9', i6, env, static) :|: 0 <= a6 && 0 < a6 && i9' <= o15 && 0 <= static && 0 <= i9' && a6 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 <= o15 && 0 < o15 && x = 1

main_LE_242(a6, i9, i20, 2, i12, env, static) -{3,3}> main_LE_276(a6, i20, 2, i9, i12, env, static) :|: i20 < i9 && 0 <= i9 && 0 < a6 && 1 <= i9 && 0 <= i20 && 2 <= i12
was transformed to
main_LE_242(a6, i9, i20, x, i12, env, static) -{3,3}> main_LE_276(a6, i20, 2, i9, i12, env, static) :|: i20 < i9 && 0 <= i9 && 0 < a6 && 1 <= i9 && 0 <= i20 && 2 <= i12 && x = 2

(24) Obligation:

IntTrs with 14 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_LE_276(a6, i24, iconst_2, i9, i12, env, static) -{0,0}> main_LE_284(a6, i24, iconst_2, i9, i12, env, static) :|: 0 <= i24 && 2 <= i12 && 1 <= i9 && i24 <= 2 && 0 < a6 && iconst_2 = 2
random_ArrayAccess_70(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_122(o7', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 0 <= o7' && 0 <= static && 1 <= i6 && o7' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
random_ArrayAccess_143(a6, x, i9, i12, env, static) -{7,7}> random_InvokeMethod_216(o25', a6, i9, 2, i12, env, static'5) :|: o25' < a6 && 1 <= i12 && 0 <= o25' && 0 <= static && 0 < a6 && 2 <= i12 && 0 <= i9 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
random_InvokeMethod_216(o50, a6, i9, x, i12, env, static) -{3,3}> main_Load_233(a6, i9, i20', 2, i12, env, static) :|: i20' <= o50 && 0 <= o50 && 0 < a6 && 0 <= i9 && 0 < o50 && 0 <= i20' && 2 <= i12 && x = 2
random_InvokeMethod_216(NULL, a6, i9, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_220(NULL, a6, i9, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= i9 && 0 <= NULL && 0 < a6 && iconst_2 = 2
random_ArrayAccess_143(a6, iconst_1, i9, iconst_1, env, static) -{0,0}> random_ArrayAccess_158(a6, iconst_1, i9, env, static) :|: 1 <= iconst_1 && 0 <= i9 && iconst_1 = 1 && 0 < a6
main_LE_276(a6, i25, x, i26, i12, env, static) -{7,7}> main_Load_233(a6, i29', i30', 2, i12, env, static) :|: 0 <= i25 && 6 <= i30' && i26 + 1 = i29' && 4 <= i26 && 0 < a6 && 5 <= i29' && 2 <= i12 && 0 <= i30' && 3 <= i25 && 0 <= i29' && 2 * i25 = i30' && 2 < i25 && 1 <= i26 && x = 2
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 <= 2 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
main_Load_233(a6, i9, i20, x, i12, env, static) -{2,2}> main_LE_242(a6, i9, i20, 2, i12, env, static) :|: 0 < a6 && 0 <= i9 && 0 <= i20 && 2 <= i12 && x = 2
random_InvokeMethod_122(o15, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i9', i6, env, static) :|: 0 <= a6 && 0 < a6 && i9' <= o15 && 0 <= static && 0 <= i9' && a6 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 <= o15 && 0 < o15 && x = 1
random_InvokeMethod_122(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_127(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
main_LE_242(a6, i9, i20, iconst_2, i12, env, static) -{0,0}> main_LE_246(a6, i9, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && i9 <= i20 && 0 <= i9 && 0 < a6 && iconst_2 = 2
main_LE_242(a6, i9, i20, x, i12, env, static) -{3,3}> main_LE_276(a6, i20, 2, i9, i12, env, static) :|: i20 < i9 && 0 <= i9 && 0 < a6 && 1 <= i9 && 0 <= i20 && 2 <= i12 && x = 2
random_ArrayAccess_70(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_143(a6, iconst_1, i9, iconst_1, env, static) -{0,0}> random_ArrayAccess_158(a6, iconst_1, i9, env, static) :|: 1 <= iconst_1 && 0 <= i9 && iconst_1 = 1 && 0 < a6
was transformed to
random_ArrayAccess_143(a6, iconst_1, i9, x, env, static) -{0,0}> random_ArrayAccess_158(a6, iconst_1, i9, env, static) :|: 1 <= iconst_1 && 0 <= i9 && iconst_1 = 1 && 0 < a6 && x = iconst_1

random_ArrayAccess_70(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_70(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 14 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
random_ArrayAccess_143(a6, x, i9, i12, env, static) -{7,7}> random_InvokeMethod_216(o25', a6, i9, 2, i12, env, static'5) :|: o25' < a6 && 1 <= i12 && 0 <= o25' && 0 <= static && 0 < a6 && 2 <= i12 && 0 <= i9 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
main_LE_276(a6, i24, iconst_2, i9, i12, env, static) -{0,0}> main_LE_284(a6, i24, iconst_2, i9, i12, env, static) :|: 0 <= i24 && 2 <= i12 && 1 <= i9 && i24 <= 2 && 0 < a6 && iconst_2 = 2
random_InvokeMethod_122(o15, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i9', i6, env, static) :|: 0 <= a6 && 0 < a6 && i9' <= o15 && 0 <= static && 0 <= i9' && a6 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 <= o15 && 0 < o15 && x = 1
random_ArrayAccess_143(a6, iconst_1, i9, x, env, static) -{0,0}> random_ArrayAccess_158(a6, iconst_1, i9, env, static) :|: 1 <= iconst_1 && 0 <= i9 && iconst_1 = 1 && 0 < a6 && x = iconst_1
random_InvokeMethod_216(NULL, a6, i9, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_220(NULL, a6, i9, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= i9 && 0 <= NULL && 0 < a6 && iconst_2 = 2
main_Load_233(a6, i9, i20, x, i12, env, static) -{2,2}> main_LE_242(a6, i9, i20, 2, i12, env, static) :|: 0 < a6 && 0 <= i9 && 0 <= i20 && 2 <= i12 && x = 2
main_LE_276(a6, i25, x, i26, i12, env, static) -{7,7}> main_Load_233(a6, i29', i30', 2, i12, env, static) :|: 0 <= i25 && 6 <= i30' && i26 + 1 = i29' && 4 <= i26 && 0 < a6 && 5 <= i29' && 2 <= i12 && 0 <= i30' && 3 <= i25 && 0 <= i29' && 2 * i25 = i30' && 2 < i25 && 1 <= i26 && x = 2
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 <= 2 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
main_LE_242(a6, i9, i20, x, i12, env, static) -{3,3}> main_LE_276(a6, i20, 2, i9, i12, env, static) :|: i20 < i9 && 0 <= i9 && 0 < a6 && 1 <= i9 && 0 <= i20 && 2 <= i12 && x = 2
random_ArrayAccess_70(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_122(o7', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 0 <= o7' && 0 <= static && 1 <= i6 && o7' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
random_InvokeMethod_216(o50, a6, i9, x, i12, env, static) -{3,3}> main_Load_233(a6, i9, i20', 2, i12, env, static) :|: i20' <= o50 && 0 <= o50 && 0 < a6 && 0 <= i9 && 0 < o50 && 0 <= i20' && 2 <= i12 && x = 2
random_InvokeMethod_122(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_127(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
main_LE_242(a6, i9, i20, iconst_2, i12, env, static) -{0,0}> main_LE_246(a6, i9, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && i9 <= i20 && 0 <= i9 && 0 < a6 && iconst_2 = 2
random_ArrayAccess_70(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

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

Moved arithmethic from constraints to rhss.

main_LE_276(a6, i24, iconst_2, i9, i12, env, static) -{0,0}> main_LE_284(a6, i24, iconst_2, i9, i12, env, static) :|: 0 <= i24 && 2 <= i12 && 1 <= i9 && i24 <= 2 && 0 < a6 && iconst_2 = 2
was transformed to
main_LE_276(a6, i24, iconst_2, i9, i12, env, static) -{0,0}> main_LE_284(a6, i24, 2, i9, i12, env, static) :|: 0 <= i24 && 2 <= i12 && 1 <= i9 && i24 <= 2 && 0 < a6 && iconst_2 = 2

random_InvokeMethod_216(NULL, a6, i9, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_220(NULL, a6, i9, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= i9 && 0 <= NULL && 0 < a6 && iconst_2 = 2
was transformed to
random_InvokeMethod_216(NULL, a6, i9, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_220(0, a6, i9, 2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= i9 && 0 <= NULL && 0 < a6 && iconst_2 = 2

random_ArrayAccess_143(a6, iconst_1, i9, x, env, static) -{0,0}> random_ArrayAccess_158(a6, iconst_1, i9, env, static) :|: 1 <= iconst_1 && 0 <= i9 && iconst_1 = 1 && 0 < a6 && x = iconst_1
was transformed to
random_ArrayAccess_143(a6, iconst_1, i9, x, env, static) -{0,0}> random_ArrayAccess_158(a6, 1, i9, env, static) :|: 1 <= iconst_1 && 0 <= i9 && iconst_1 = 1 && 0 < a6 && x = iconst_1

main_LE_276(a6, i25, x, i26, i12, env, static) -{7,7}> main_Load_233(a6, i29', i30', 2, i12, env, static) :|: 0 <= i25 && 6 <= i30' && i26 + 1 = i29' && 4 <= i26 && 0 < a6 && 5 <= i29' && 2 <= i12 && 0 <= i30' && 3 <= i25 && 0 <= i29' && 2 * i25 = i30' && 2 < i25 && 1 <= i26 && x = 2
was transformed to
main_LE_276(a6, i25, x, i26, i12, env, static) -{7,7}> main_Load_233(a6, i26 + 1, 2 * i25, 2, i12, env, static) :|: 0 <= i25 && 6 <= i30' && i26 + 1 = i29' && 4 <= i26 && 0 < a6 && 5 <= i29' && 2 <= i12 && 0 <= i30' && 3 <= i25 && 0 <= i29' && 2 * i25 = i30' && 2 < i25 && 1 <= i26 && x = 2

random_InvokeMethod_122(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_127(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
was transformed to
random_InvokeMethod_122(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_127(0, a6, 1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6

random_ArrayAccess_70(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_70(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_242(a6, i9, i20, iconst_2, i12, env, static) -{0,0}> main_LE_246(a6, i9, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && i9 <= i20 && 0 <= i9 && 0 < a6 && iconst_2 = 2
was transformed to
main_LE_242(a6, i9, i20, iconst_2, i12, env, static) -{0,0}> main_LE_246(a6, i9, i20, 2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && i9 <= i20 && 0 <= i9 && 0 < a6 && iconst_2 = 2

(28) Obligation:

IntTrs with 14 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_LE_276(a6, i24, iconst_2, i9, i12, env, static) -{0,0}> main_LE_284(a6, i24, 2, i9, i12, env, static) :|: 0 <= i24 && 2 <= i12 && 1 <= i9 && i24 <= 2 && 0 < a6 && iconst_2 = 2
random_ArrayAccess_143(a6, x, i9, i12, env, static) -{7,7}> random_InvokeMethod_216(o25', a6, i9, 2, i12, env, static'5) :|: o25' < a6 && 1 <= i12 && 0 <= o25' && 0 <= static && 0 < a6 && 2 <= i12 && 0 <= i9 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
random_InvokeMethod_122(o15, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i9', i6, env, static) :|: 0 <= a6 && 0 < a6 && i9' <= o15 && 0 <= static && 0 <= i9' && a6 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 <= o15 && 0 < o15 && x = 1
random_InvokeMethod_216(NULL, a6, i9, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_220(0, a6, i9, 2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= i9 && 0 <= NULL && 0 < a6 && iconst_2 = 2
random_ArrayAccess_143(a6, iconst_1, i9, x, env, static) -{0,0}> random_ArrayAccess_158(a6, 1, i9, env, static) :|: 1 <= iconst_1 && 0 <= i9 && iconst_1 = 1 && 0 < a6 && x = iconst_1
main_LE_276(a6, i25, x, i26, i12, env, static) -{7,7}> main_Load_233(a6, i26 + 1, 2 * i25, 2, i12, env, static) :|: 0 <= i25 && 6 <= i30' && i26 + 1 = i29' && 4 <= i26 && 0 < a6 && 5 <= i29' && 2 <= i12 && 0 <= i30' && 3 <= i25 && 0 <= i29' && 2 * i25 = i30' && 2 < i25 && 1 <= i26 && x = 2
main_Load_233(a6, i9, i20, x, i12, env, static) -{2,2}> main_LE_242(a6, i9, i20, 2, i12, env, static) :|: 0 < a6 && 0 <= i9 && 0 <= i20 && 2 <= i12 && x = 2
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 <= 2 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
main_LE_242(a6, i9, i20, x, i12, env, static) -{3,3}> main_LE_276(a6, i20, 2, i9, i12, env, static) :|: i20 < i9 && 0 <= i9 && 0 < a6 && 1 <= i9 && 0 <= i20 && 2 <= i12 && x = 2
random_ArrayAccess_70(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_122(o7', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 0 <= o7' && 0 <= static && 1 <= i6 && o7' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
random_InvokeMethod_216(o50, a6, i9, x, i12, env, static) -{3,3}> main_Load_233(a6, i9, i20', 2, i12, env, static) :|: i20' <= o50 && 0 <= o50 && 0 < a6 && 0 <= i9 && 0 < o50 && 0 <= i20' && 2 <= i12 && x = 2
random_InvokeMethod_122(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_127(0, a6, 1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
random_ArrayAccess_70(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_242(a6, i9, i20, iconst_2, i12, env, static) -{0,0}> main_LE_246(a6, i9, i20, 2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && i9 <= i20 && 0 <= i9 && 0 < a6 && iconst_2 = 2

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

Simplified expressions.

random_InvokeMethod_122(o15, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i9', i6, env, static) :|: 0 <= a6 && 0 < a6 && i9' <= o15 && 0 <= static && 0 <= i9' && a6 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 <= o15 && 0 < o15 && x = 1
was transformed to
random_InvokeMethod_122(o15, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i9', i6, env, static) :|: 0 < a6 && i9' <= o15 && 0 <= static && 0 <= i9' && a6 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 < o15 && x = 1

main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 <= 2 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
was transformed to
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 <= static'3

random_InvokeMethod_216(o50, a6, i9, x, i12, env, static) -{3,3}> main_Load_233(a6, i9, i20', 2, i12, env, static) :|: i20' <= o50 && 0 <= o50 && 0 < a6 && 0 <= i9 && 0 < o50 && 0 <= i20' && 2 <= i12 && x = 2
was transformed to
random_InvokeMethod_216(o50, a6, i9, x, i12, env, static) -{3,3}> main_Load_233(a6, i9, i20', 2, i12, env, static) :|: i20' <= o50 && 0 < a6 && 0 <= i9 && 0 < o50 && 0 <= i20' && 2 <= i12 && x = 2

(30) Obligation:

IntTrs with 14 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
random_ArrayAccess_70(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
random_ArrayAccess_143(a6, x, i9, i12, env, static) -{7,7}> random_InvokeMethod_216(o25', a6, i9, 2, i12, env, static'5) :|: o25' < a6 && 1 <= i12 && 0 <= o25' && 0 <= static && 0 < a6 && 2 <= i12 && 0 <= i9 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
random_InvokeMethod_216(o50, a6, i9, x, i12, env, static) -{3,3}> main_Load_233(a6, i9, i20', 2, i12, env, static) :|: i20' <= o50 && 0 < a6 && 0 <= i9 && 0 < o50 && 0 <= i20' && 2 <= i12 && x = 2
main_LE_276(a6, i25, x, i26, i12, env, static) -{7,7}> main_Load_233(a6, i26 + 1, 2 * i25, 2, i12, env, static) :|: 0 <= i25 && 6 <= i30' && i26 + 1 = i29' && 4 <= i26 && 0 < a6 && 5 <= i29' && 2 <= i12 && 0 <= i30' && 3 <= i25 && 0 <= i29' && 2 * i25 = i30' && 2 < i25 && 1 <= i26 && x = 2
main_LE_276(a6, i24, iconst_2, i9, i12, env, static) -{0,0}> main_LE_284(a6, i24, 2, i9, i12, env, static) :|: 0 <= i24 && 2 <= i12 && 1 <= i9 && i24 <= 2 && 0 < a6 && iconst_2 = 2
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 <= static'3
random_InvokeMethod_122(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_127(0, a6, 1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
main_Load_233(a6, i9, i20, x, i12, env, static) -{2,2}> main_LE_242(a6, i9, i20, 2, i12, env, static) :|: 0 < a6 && 0 <= i9 && 0 <= i20 && 2 <= i12 && x = 2
random_InvokeMethod_216(NULL, a6, i9, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_220(0, a6, i9, 2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= i9 && 0 <= NULL && 0 < a6 && iconst_2 = 2
main_LE_242(a6, i9, i20, x, i12, env, static) -{3,3}> main_LE_276(a6, i20, 2, i9, i12, env, static) :|: i20 < i9 && 0 <= i9 && 0 < a6 && 1 <= i9 && 0 <= i20 && 2 <= i12 && x = 2
random_InvokeMethod_122(o15, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i9', i6, env, static) :|: 0 < a6 && i9' <= o15 && 0 <= static && 0 <= i9' && a6 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 < o15 && x = 1
random_ArrayAccess_70(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_122(o7', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 0 <= o7' && 0 <= static && 1 <= i6 && o7' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
random_ArrayAccess_143(a6, iconst_1, i9, x, env, static) -{0,0}> random_ArrayAccess_158(a6, 1, i9, env, static) :|: 1 <= iconst_1 && 0 <= i9 && iconst_1 = 1 && 0 < a6 && x = iconst_1
main_LE_242(a6, i9, i20, iconst_2, i12, env, static) -{0,0}> main_LE_246(a6, i9, i20, 2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && i9 <= i20 && 0 <= i9 && 0 < a6 && iconst_2 = 2

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

Transformed 82 jbc graph edges to a weighted ITS with 82 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.

(32) Obligation:

IntTrs with 82 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_1(o1, env, static) -{0,0}> main_Load_4(o1, env, static) :|: 0 < o1
main_Load_4(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_6(o1, env, static) :|: 0 < o1
langle_clinit_rangle_ConstantStackPush_6(o1, env, static) -{1,1}> langle_clinit_rangle_ArrayCreate_12(iconst_0, o1, env, static) :|: iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ArrayCreate_12(iconst_0, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_14(a2, o1, iconst_0, env, static) :|: a2 = 2 && iconst_0 = 0 && 0 < a2 && 0 < o1
langle_clinit_rangle_FieldAccess_14(a2, o1, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_16(o1, env, static') :|: 0 <= a2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2 && 0 < o1
langle_clinit_rangle_New_16(o1, env, static) -{0,0}> langle_clinit_rangle_New_18(o1, env, static) :|: 0 < o1
langle_clinit_rangle_New_18(o1, env, static) -{0,0}> langle_clinit_rangle_New_19(o1, env, static) :|: 0 <= static && 0 < o1
langle_clinit_rangle_New_19(o1, env, static) -{1,1}> langle_clinit_rangle_Duplicate_20(o4, o1, env, static) :|: o4 = 1 && 0 < o4 && 0 < o1
langle_clinit_rangle_Duplicate_20(o4, o1, env, static) -{1,1}> langle_clinit_rangle_ConstantStackPush_22(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_ConstantStackPush_22(o4, o1, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_23(o4, NULL, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_clinit_rangle_InvokeMethod_23(o4, NULL, o1, env, static) -{1,1}> langle_init_rangle_Load_25(o4, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_init_rangle_Load_25(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_27(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_27(o4, o1, env, static) -{1,1}> langle_init_rangle_Load_28(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Load_28(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_30(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_30(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_33(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_33(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_35(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_35(o4, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_38(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_FieldAccess_38(o4, o1, env, static) -{1,1}> langle_clinit_rangle_Return_40(o1, env, static') :|: 0 <= o4 && 0 < o4 && 0 <= static && 0 < o1 && static' <= static + o4
langle_clinit_rangle_Return_40(o1, env, static) -{1,1}> main_Load_41(o1, env, static) :|: 0 < o1
main_Load_41(o1, env, static) -{0,0}> main_Load_42(o1, env, static) :|: 0 < o1
main_Load_42(o1, env, static) -{0,0}> main_Load_44(o1, env, static) :|: 0 <= static && 0 < o1
main_Load_44(o1, env, static) -{0,0}> main_Load_46(o1, env, static) :|: 0 < o1
main_Load_46(o1, env, static) -{0,0}> main_Load_48(o1, env, static) :|: 0 < o1
main_Load_48(o1, env, static) -{1,1}> main_FieldAccess_51(o1, env, static) :|: 0 < o1
main_FieldAccess_51(o1, env, static) -{0,0}> main_FieldAccess_53(o1, env, static) :|: 0 < o1
main_FieldAccess_53(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_55(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ConstantStackPush_55(o1, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_57(iconst_0, o1, NULL, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_FieldAccess_57(iconst_0, o1, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_59(o1, NULL, iconst_0, env, static') :|: NULL = 0 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0 && 0 < o1
langle_clinit_rangle_Return_59(o1, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_61(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
main_FieldAccess_61(o1, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_63(o1, iconst_0, env, static') :|: static' <= static + o1 && NULL = 0 && 0 <= o1 && iconst_0 = 0 && 0 <= static && 0 < o1
main_InvokeMethod_63(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_65(o1, iconst_0, env, static) :|: iconst_0 = 0 && 0 < o1
random_FieldAccess_65(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_67(o1, iconst_0, env, static) :|: 0 <= o1 && o1 <= static && iconst_0 = 0 && 0 <= static && 0 < o1
random_FieldAccess_67(o1, iconst_0, env, static) -{1,1}> random_ArrayAccess_69(o1, iconst_0, env, static) :|: -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static && 0 < o1
random_ArrayAccess_69(a6, iconst_0, env, static) -{0,0}> random_ArrayAccess_70(a6, iconst_0, i4, env, static) :|: 0 <= i4 && iconst_0 = 0 && 0 < a6 && i4 < a6
random_ArrayAccess_70(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_70(a6, iconst_0, i6, env, static) -{0,0}> random_ArrayAccess_74(a6, iconst_0, i6, env, static) :|: 0 <= i6 && 1 <= i6 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_74(a6, iconst_0, i6, env, static) -{1,1}> random_Store_78(o7, a6, iconst_0, i6, env, static) :|: 1 <= i6 && o7 < a6 && iconst_0 = 0 && 0 <= o7 && 0 < a6
random_Store_78(o7, a6, iconst_0, i6, env, static) -{1,1}> random_FieldAccess_80(o7, a6, iconst_0, i6, env, static) :|: 1 <= i6 && iconst_0 = 0 && 0 <= o7 && 0 < a6
random_FieldAccess_80(o7, a6, iconst_0, i6, env, static) -{1,1}> random_ConstantStackPush_94(iconst_0, o7, a6, i6, env, static) :|: 1 <= i6 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= o7 && 0 <= static && 0 < a6 && iconst_0 <= static
random_ConstantStackPush_94(iconst_0, o7, a6, i6, env, static) -{1,1}> random_IntArithmetic_97(iconst_0, iconst_1, o7, a6, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && iconst_0 = 0 && 0 <= o7 && 0 < a6
random_IntArithmetic_97(iconst_0, iconst_1, o7, a6, i6, env, static) -{1,1}> random_FieldAccess_99(iconst_1, o7, a6, iconst_0, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && iconst_0 = 0 && 0 <= o7 && 0 < a6
random_FieldAccess_99(iconst_1, o7, a6, iconst_0, i6, env, static) -{1,1}> random_Load_105(o7, a6, iconst_1, i6, env, static') :|: 1 <= i6 && iconst_1 = 1 && iconst_0 = 0 && 0 <= o7 && 0 <= static && 0 < a6 && static' <= static + iconst_1
random_Load_105(o7, a6, iconst_1, i6, env, static) -{1,1}> random_InvokeMethod_122(o7, a6, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 <= o7 && 0 < a6
random_InvokeMethod_122(o15, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_126(o15, a6, iconst_1, i6, env, static) :|: 0 <= o15 && 1 <= i6 && iconst_1 = 1 && 0 < o15 && 0 < a6
random_InvokeMethod_122(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_127(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
random_InvokeMethod_126(o15, a6, iconst_1, i6, env, static) -{1,1}> random_Return_129(i9, a6, iconst_1, i6, env, static) :|: 1 <= i6 && i9 <= o15 && 0 <= i9 && iconst_1 = 1 && 0 < o15 && 0 < a6
random_Return_129(i9, a6, iconst_1, i6, env, static) -{1,1}> main_Store_132(a6, i9, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= i9 && iconst_1 = 1 && 0 < a6
main_Store_132(a6, i9, iconst_1, i6, env, static) -{1,1}> main_InvokeMethod_135(a6, i9, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= i9 && iconst_1 = 1 && 0 < a6
main_InvokeMethod_135(a6, i9, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_137(a6, i9, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= i9 && iconst_1 = 1 && 0 < a6
random_FieldAccess_137(a6, i9, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_141(a6, i9, iconst_1, i6, env, static) :|: 0 <= a6 && 1 <= i6 && 0 <= i9 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6
random_FieldAccess_141(a6, i9, iconst_1, i6, env, static) -{1,1}> random_ArrayAccess_143(a6, iconst_1, i9, i6, env, static) :|: -1 * static <= iconst_1 && 1 <= i6 && iconst_1 <= static && 0 <= i9 && iconst_1 = 1 && 0 <= static && 0 < a6
random_ArrayAccess_143(a6, iconst_1, i9, iconst_1, env, static) -{0,0}> random_ArrayAccess_158(a6, iconst_1, i9, env, static) :|: 1 <= iconst_1 && 0 <= i9 && iconst_1 = 1 && 0 < a6
random_ArrayAccess_143(a6, iconst_1, i9, i12, env, static) -{0,0}> random_ArrayAccess_159(a6, iconst_1, i9, i12, env, static) :|: 2 <= i12 && 0 <= i9 && iconst_1 = 1 && 0 < a6 && 1 <= i12
random_ArrayAccess_159(a6, iconst_1, i9, i12, env, static) -{1,1}> random_Store_168(o25, a6, i9, iconst_1, i12, env, static) :|: 2 <= i12 && 0 <= i9 && iconst_1 = 1 && o25 < a6 && 0 < a6 && 0 <= o25
random_Store_168(o25, a6, i9, iconst_1, i12, env, static) -{1,1}> random_FieldAccess_174(o25, a6, i9, iconst_1, i12, env, static) :|: 2 <= i12 && 0 <= i9 && iconst_1 = 1 && 0 < a6 && 0 <= o25
random_FieldAccess_174(o25, a6, i9, iconst_1, i12, env, static) -{1,1}> random_ConstantStackPush_193(iconst_1, o25, a6, i9, i12, env, static) :|: -1 * static <= iconst_1 && 2 <= i12 && iconst_1 <= static && 0 <= i9 && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= o25
random_ConstantStackPush_193(iconst_1, o25, a6, i9, i12, env, static) -{1,1}> random_IntArithmetic_203(iconst_1, o25, a6, i9, i12, env, static) :|: 2 <= i12 && 0 <= i9 && iconst_1 = 1 && 0 < a6 && 0 <= o25
random_IntArithmetic_203(iconst_1, o25, a6, i9, i12, env, static) -{1,1}> random_FieldAccess_208(iconst_2, o25, a6, i9, iconst_1, i12, env, static) :|: 2 <= i12 && 0 <= i9 && iconst_1 = 1 && 0 < a6 && 0 <= o25 && iconst_2 = 2
random_FieldAccess_208(iconst_2, o25, a6, i9, iconst_1, i12, env, static) -{1,1}> random_Load_212(o25, a6, i9, iconst_2, i12, env, static') :|: 2 <= i12 && 0 <= i9 && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= o25 && iconst_2 = 2 && static' <= static + iconst_2
random_Load_212(o25, a6, i9, iconst_2, i12, env, static) -{1,1}> random_InvokeMethod_216(o25, a6, i9, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i9 && 0 < a6 && 0 <= o25 && iconst_2 = 2
random_InvokeMethod_216(o50, a6, i9, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_219(o50, a6, i9, iconst_2, i12, env, static) :|: 0 < o50 && 2 <= i12 && 0 <= i9 && 0 <= o50 && 0 < a6 && iconst_2 = 2
random_InvokeMethod_216(NULL, a6, i9, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_220(NULL, a6, i9, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= i9 && 0 <= NULL && 0 < a6 && iconst_2 = 2
random_InvokeMethod_219(o50, a6, i9, iconst_2, i12, env, static) -{1,1}> random_Return_224(i20, a6, i9, iconst_2, i12, env, static) :|: 0 <= i20 && 0 < o50 && 2 <= i12 && 0 <= i9 && 0 < a6 && i20 <= o50 && iconst_2 = 2
random_Return_224(i20, a6, i9, iconst_2, i12, env, static) -{1,1}> main_Store_229(a6, i20, i9, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 <= i9 && 0 < a6 && iconst_2 = 2
main_Store_229(a6, i20, i9, iconst_2, i12, env, static) -{1,1}> main_Load_233(a6, i9, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 <= i9 && 0 < a6 && iconst_2 = 2
main_Load_233(a6, i9, i20, iconst_2, i12, env, static) -{1,1}> main_Load_237(a6, i9, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 <= i9 && 0 < a6 && iconst_2 = 2
main_Load_237(a6, i9, i20, iconst_2, i12, env, static) -{1,1}> main_LE_242(a6, i9, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 <= i9 && 0 < a6 && iconst_2 = 2
main_LE_242(a6, i9, i20, iconst_2, i12, env, static) -{0,0}> main_LE_246(a6, i9, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && i9 <= i20 && 0 <= i9 && 0 < a6 && iconst_2 = 2
main_LE_242(a6, i9, i20, iconst_2, i12, env, static) -{0,0}> main_LE_248(a6, i9, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 <= i9 && i20 < i9 && 0 < a6 && iconst_2 = 2
main_LE_248(a6, i9, i20, iconst_2, i12, env, static) -{1,1}> main_Load_256(a6, i9, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 <= i9 && 1 <= i9 && i20 < i9 && 0 < a6 && iconst_2 = 2
main_Load_256(a6, i9, i20, iconst_2, i12, env, static) -{1,1}> main_ConstantStackPush_270(a6, i20, i9, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 1 <= i9 && 0 < a6 && iconst_2 = 2
main_ConstantStackPush_270(a6, i20, i9, iconst_2, i12, env, static) -{1,1}> main_LE_276(a6, i20, iconst_2, i9, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 1 <= i9 && 0 < a6 && iconst_2 = 2
main_LE_276(a6, i24, iconst_2, i9, i12, env, static) -{0,0}> main_LE_284(a6, i24, iconst_2, i9, i12, env, static) :|: 0 <= i24 && 2 <= i12 && 1 <= i9 && i24 <= 2 && 0 < a6 && iconst_2 = 2
main_LE_276(a6, i25, iconst_2, i26, i12, env, static) -{0,0}> main_LE_285(a6, i25, iconst_2, i26, i12, env, static) :|: 0 <= i25 && 4 <= i26 && 2 <= i12 && 1 <= i26 && 0 < a6 && 3 <= i25 && iconst_2 = 2
main_LE_285(a6, i25, iconst_2, i26, i12, env, static) -{1,1}> main_Inc_313(a6, i26, i25, iconst_2, i12, env, static) :|: 4 <= i26 && 2 <= i12 && iconst_2 < i25 && 0 < a6 && 3 <= i25 && iconst_2 = 2
main_Inc_313(a6, i26, i25, iconst_2, i12, env, static) -{1,1}> main_ConstantStackPush_322(a6, i29, i25, iconst_2, i12, env, static) :|: 4 <= i26 && 2 <= i12 && 5 <= i29 && 0 < a6 && 3 <= i25 && iconst_2 = 2 && i26 + 1 = i29
main_ConstantStackPush_322(a6, i29, i25, iconst_2, i12, env, static) -{1,1}> main_Load_324(a6, iconst_2, i29, i25, i12, env, static) :|: 2 <= i12 && 5 <= i29 && 0 < a6 && 3 <= i25 && iconst_2 = 2
main_Load_324(a6, iconst_2, i29, i25, i12, env, static) -{1,1}> main_IntArithmetic_332(a6, iconst_2, i25, i29, i12, env, static) :|: 2 <= i12 && 5 <= i29 && 0 < a6 && 3 <= i25 && iconst_2 = 2
main_IntArithmetic_332(a6, iconst_2, i25, i29, i12, env, static) -{1,1}> main_Store_342(a6, i30, i29, iconst_2, i12, env, static) :|: 2 <= i12 && 5 <= i29 && 0 < a6 && 3 <= i25 && iconst_2 * i25 = i30 && iconst_2 = 2 && 6 <= i30
main_Store_342(a6, i30, i29, iconst_2, i12, env, static) -{1,1}> main_JMP_345(a6, i29, i30, iconst_2, i12, env, static) :|: 2 <= i12 && 5 <= i29 && 0 < a6 && iconst_2 = 2 && 6 <= i30
main_JMP_345(a6, i29, i30, iconst_2, i12, env, static) -{1,1}> main_Load_358(a6, i29, i30, iconst_2, i12, env, static) :|: 2 <= i12 && 5 <= i29 && 0 < a6 && iconst_2 = 2 && 6 <= i30
main_Load_358(a6, i29, i30, iconst_2, i12, env, static) -{0,0}> main_Load_233(a6, i29, i30, iconst_2, i12, env, static) :|: 0 <= i29 && 2 <= i12 && 0 <= i30 && 5 <= i29 && 0 < a6 && iconst_2 = 2 && 6 <= i30

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

obtained
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 <= 2 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
by chaining
main_Load_1(o1, env, static) -{0,0}> main_Load_4(o1, env, static) :|: 0 < o1
main_Load_4(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_6(o1, env, static) :|: 0 < o1
langle_clinit_rangle_ConstantStackPush_6(o1, env, static) -{1,1}> langle_clinit_rangle_ArrayCreate_12(iconst_0, o1, env, static) :|: iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ArrayCreate_12(iconst_0, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_14(a2, o1, iconst_0, env, static) :|: a2 = 2 && iconst_0 = 0 && 0 < a2 && 0 < o1
langle_clinit_rangle_FieldAccess_14(a2, o1, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_16(o1, env, static') :|: 0 <= a2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2 && 0 < o1
langle_clinit_rangle_New_16(o1, env, static) -{0,0}> langle_clinit_rangle_New_18(o1, env, static) :|: 0 < o1
langle_clinit_rangle_New_18(o1, env, static) -{0,0}> langle_clinit_rangle_New_19(o1, env, static) :|: 0 <= static && 0 < o1
langle_clinit_rangle_New_19(o1, env, static) -{1,1}> langle_clinit_rangle_Duplicate_20(o4, o1, env, static) :|: o4 = 1 && 0 < o4 && 0 < o1
langle_clinit_rangle_Duplicate_20(o4, o1, env, static) -{1,1}> langle_clinit_rangle_ConstantStackPush_22(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_ConstantStackPush_22(o4, o1, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_23(o4, NULL, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_clinit_rangle_InvokeMethod_23(o4, NULL, o1, env, static) -{1,1}> langle_init_rangle_Load_25(o4, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_init_rangle_Load_25(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_27(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_27(o4, o1, env, static) -{1,1}> langle_init_rangle_Load_28(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Load_28(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_30(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_30(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_33(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_33(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_35(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_35(o4, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_38(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_FieldAccess_38(o4, o1, env, static) -{1,1}> langle_clinit_rangle_Return_40(o1, env, static') :|: 0 <= o4 && 0 < o4 && 0 <= static && 0 < o1 && static' <= static + o4
langle_clinit_rangle_Return_40(o1, env, static) -{1,1}> main_Load_41(o1, env, static) :|: 0 < o1
main_Load_41(o1, env, static) -{0,0}> main_Load_42(o1, env, static) :|: 0 < o1
main_Load_42(o1, env, static) -{0,0}> main_Load_44(o1, env, static) :|: 0 <= static && 0 < o1
main_Load_44(o1, env, static) -{0,0}> main_Load_46(o1, env, static) :|: 0 < o1
main_Load_46(o1, env, static) -{0,0}> main_Load_48(o1, env, static) :|: 0 < o1
main_Load_48(o1, env, static) -{1,1}> main_FieldAccess_51(o1, env, static) :|: 0 < o1
main_FieldAccess_51(o1, env, static) -{0,0}> main_FieldAccess_53(o1, env, static) :|: 0 < o1
main_FieldAccess_53(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_55(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ConstantStackPush_55(o1, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_57(iconst_0, o1, NULL, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_FieldAccess_57(iconst_0, o1, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_59(o1, NULL, iconst_0, env, static') :|: NULL = 0 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0 && 0 < o1
langle_clinit_rangle_Return_59(o1, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_61(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
main_FieldAccess_61(o1, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_63(o1, iconst_0, env, static') :|: static' <= static + o1 && NULL = 0 && 0 <= o1 && iconst_0 = 0 && 0 <= static && 0 < o1
main_InvokeMethod_63(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_65(o1, iconst_0, env, static) :|: iconst_0 = 0 && 0 < o1
random_FieldAccess_65(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_67(o1, iconst_0, env, static) :|: 0 <= o1 && o1 <= static && iconst_0 = 0 && 0 <= static && 0 < o1
random_FieldAccess_67(o1, iconst_0, env, static) -{1,1}> random_ArrayAccess_69(o1, iconst_0, env, static) :|: -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static && 0 < o1
random_ArrayAccess_69(a6, iconst_0, env, static) -{0,0}> random_ArrayAccess_70(a6, iconst_0, i4, env, static) :|: 0 <= i4 && iconst_0 = 0 && 0 < a6 && i4 < a6

obtained
random_ArrayAccess_70(a6, 0, i6, env, static) -{7,7}> random_InvokeMethod_122(o7', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 0 <= o7' && 0 <= static && 1 <= i6 && o7' < a6 && -1 * static <= 0 && static'4 <= static + 1
by chaining
random_ArrayAccess_70(a6, iconst_0, i6, env, static) -{0,0}> random_ArrayAccess_74(a6, iconst_0, i6, env, static) :|: 0 <= i6 && 1 <= i6 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_74(a6, iconst_0, i6, env, static) -{1,1}> random_Store_78(o7, a6, iconst_0, i6, env, static) :|: 1 <= i6 && o7 < a6 && iconst_0 = 0 && 0 <= o7 && 0 < a6
random_Store_78(o7, a6, iconst_0, i6, env, static) -{1,1}> random_FieldAccess_80(o7, a6, iconst_0, i6, env, static) :|: 1 <= i6 && iconst_0 = 0 && 0 <= o7 && 0 < a6
random_FieldAccess_80(o7, a6, iconst_0, i6, env, static) -{1,1}> random_ConstantStackPush_94(iconst_0, o7, a6, i6, env, static) :|: 1 <= i6 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= o7 && 0 <= static && 0 < a6 && iconst_0 <= static
random_ConstantStackPush_94(iconst_0, o7, a6, i6, env, static) -{1,1}> random_IntArithmetic_97(iconst_0, iconst_1, o7, a6, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && iconst_0 = 0 && 0 <= o7 && 0 < a6
random_IntArithmetic_97(iconst_0, iconst_1, o7, a6, i6, env, static) -{1,1}> random_FieldAccess_99(iconst_1, o7, a6, iconst_0, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && iconst_0 = 0 && 0 <= o7 && 0 < a6
random_FieldAccess_99(iconst_1, o7, a6, iconst_0, i6, env, static) -{1,1}> random_Load_105(o7, a6, iconst_1, i6, env, static') :|: 1 <= i6 && iconst_1 = 1 && iconst_0 = 0 && 0 <= o7 && 0 <= static && 0 < a6 && static' <= static + iconst_1
random_Load_105(o7, a6, iconst_1, i6, env, static) -{1,1}> random_InvokeMethod_122(o7, a6, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 <= o7 && 0 < a6

obtained
random_InvokeMethod_122(o15, a6, 1, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i9', i6, env, static) :|: 0 <= a6 && 0 < a6 && i9' <= o15 && 0 <= static && 0 <= i9' && a6 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 <= o15 && 0 < o15
by chaining
random_InvokeMethod_122(o15, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_126(o15, a6, iconst_1, i6, env, static) :|: 0 <= o15 && 1 <= i6 && iconst_1 = 1 && 0 < o15 && 0 < a6
random_InvokeMethod_126(o15, a6, iconst_1, i6, env, static) -{1,1}> random_Return_129(i9, a6, iconst_1, i6, env, static) :|: 1 <= i6 && i9 <= o15 && 0 <= i9 && iconst_1 = 1 && 0 < o15 && 0 < a6
random_Return_129(i9, a6, iconst_1, i6, env, static) -{1,1}> main_Store_132(a6, i9, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= i9 && iconst_1 = 1 && 0 < a6
main_Store_132(a6, i9, iconst_1, i6, env, static) -{1,1}> main_InvokeMethod_135(a6, i9, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= i9 && iconst_1 = 1 && 0 < a6
main_InvokeMethod_135(a6, i9, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_137(a6, i9, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= i9 && iconst_1 = 1 && 0 < a6
random_FieldAccess_137(a6, i9, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_141(a6, i9, iconst_1, i6, env, static) :|: 0 <= a6 && 1 <= i6 && 0 <= i9 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6
random_FieldAccess_141(a6, i9, iconst_1, i6, env, static) -{1,1}> random_ArrayAccess_143(a6, iconst_1, i9, i6, env, static) :|: -1 * static <= iconst_1 && 1 <= i6 && iconst_1 <= static && 0 <= i9 && iconst_1 = 1 && 0 <= static && 0 < a6

obtained
random_ArrayAccess_143(a6, 1, i9, i12, env, static) -{7,7}> random_InvokeMethod_216(o25', a6, i9, 2, i12, env, static'5) :|: o25' < a6 && 1 <= i12 && 0 <= o25' && 0 <= static && 0 < a6 && 2 <= i12 && 0 <= i9 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2
by chaining
random_ArrayAccess_143(a6, iconst_1, i9, i12, env, static) -{0,0}> random_ArrayAccess_159(a6, iconst_1, i9, i12, env, static) :|: 2 <= i12 && 0 <= i9 && iconst_1 = 1 && 0 < a6 && 1 <= i12
random_ArrayAccess_159(a6, iconst_1, i9, i12, env, static) -{1,1}> random_Store_168(o25, a6, i9, iconst_1, i12, env, static) :|: 2 <= i12 && 0 <= i9 && iconst_1 = 1 && o25 < a6 && 0 < a6 && 0 <= o25
random_Store_168(o25, a6, i9, iconst_1, i12, env, static) -{1,1}> random_FieldAccess_174(o25, a6, i9, iconst_1, i12, env, static) :|: 2 <= i12 && 0 <= i9 && iconst_1 = 1 && 0 < a6 && 0 <= o25
random_FieldAccess_174(o25, a6, i9, iconst_1, i12, env, static) -{1,1}> random_ConstantStackPush_193(iconst_1, o25, a6, i9, i12, env, static) :|: -1 * static <= iconst_1 && 2 <= i12 && iconst_1 <= static && 0 <= i9 && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= o25
random_ConstantStackPush_193(iconst_1, o25, a6, i9, i12, env, static) -{1,1}> random_IntArithmetic_203(iconst_1, o25, a6, i9, i12, env, static) :|: 2 <= i12 && 0 <= i9 && iconst_1 = 1 && 0 < a6 && 0 <= o25
random_IntArithmetic_203(iconst_1, o25, a6, i9, i12, env, static) -{1,1}> random_FieldAccess_208(iconst_2, o25, a6, i9, iconst_1, i12, env, static) :|: 2 <= i12 && 0 <= i9 && iconst_1 = 1 && 0 < a6 && 0 <= o25 && iconst_2 = 2
random_FieldAccess_208(iconst_2, o25, a6, i9, iconst_1, i12, env, static) -{1,1}> random_Load_212(o25, a6, i9, iconst_2, i12, env, static') :|: 2 <= i12 && 0 <= i9 && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= o25 && iconst_2 = 2 && static' <= static + iconst_2
random_Load_212(o25, a6, i9, iconst_2, i12, env, static) -{1,1}> random_InvokeMethod_216(o25, a6, i9, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i9 && 0 < a6 && 0 <= o25 && iconst_2 = 2

obtained
random_InvokeMethod_216(o50, a6, i9, 2, i12, env, static) -{3,3}> main_Load_233(a6, i9, i20', 2, i12, env, static) :|: i20' <= o50 && 0 <= o50 && 0 < a6 && 0 <= i9 && 0 < o50 && 0 <= i20' && 2 <= i12
by chaining
random_InvokeMethod_216(o50, a6, i9, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_219(o50, a6, i9, iconst_2, i12, env, static) :|: 0 < o50 && 2 <= i12 && 0 <= i9 && 0 <= o50 && 0 < a6 && iconst_2 = 2
random_InvokeMethod_219(o50, a6, i9, iconst_2, i12, env, static) -{1,1}> random_Return_224(i20, a6, i9, iconst_2, i12, env, static) :|: 0 <= i20 && 0 < o50 && 2 <= i12 && 0 <= i9 && 0 < a6 && i20 <= o50 && iconst_2 = 2
random_Return_224(i20, a6, i9, iconst_2, i12, env, static) -{1,1}> main_Store_229(a6, i20, i9, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 <= i9 && 0 < a6 && iconst_2 = 2
main_Store_229(a6, i20, i9, iconst_2, i12, env, static) -{1,1}> main_Load_233(a6, i9, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 <= i9 && 0 < a6 && iconst_2 = 2

obtained
main_Load_233(a6, i9, i20, 2, i12, env, static) -{2,2}> main_LE_242(a6, i9, i20, 2, i12, env, static) :|: 0 < a6 && 0 <= i9 && 0 <= i20 && 2 <= i12
by chaining
main_Load_233(a6, i9, i20, iconst_2, i12, env, static) -{1,1}> main_Load_237(a6, i9, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 <= i9 && 0 < a6 && iconst_2 = 2
main_Load_237(a6, i9, i20, iconst_2, i12, env, static) -{1,1}> main_LE_242(a6, i9, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 <= i9 && 0 < a6 && iconst_2 = 2

obtained
main_LE_242(a6, i9, i20, 2, i12, env, static) -{3,3}> main_LE_276(a6, i20, 2, i9, i12, env, static) :|: i20 < i9 && 0 <= i9 && 0 < a6 && 1 <= i9 && 0 <= i20 && 2 <= i12
by chaining
main_LE_242(a6, i9, i20, iconst_2, i12, env, static) -{0,0}> main_LE_248(a6, i9, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 <= i9 && i20 < i9 && 0 < a6 && iconst_2 = 2
main_LE_248(a6, i9, i20, iconst_2, i12, env, static) -{1,1}> main_Load_256(a6, i9, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 <= i9 && 1 <= i9 && i20 < i9 && 0 < a6 && iconst_2 = 2
main_Load_256(a6, i9, i20, iconst_2, i12, env, static) -{1,1}> main_ConstantStackPush_270(a6, i20, i9, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 1 <= i9 && 0 < a6 && iconst_2 = 2
main_ConstantStackPush_270(a6, i20, i9, iconst_2, i12, env, static) -{1,1}> main_LE_276(a6, i20, iconst_2, i9, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 1 <= i9 && 0 < a6 && iconst_2 = 2

obtained
main_LE_276(a6, i25, 2, i26, i12, env, static) -{7,7}> main_Load_233(a6, i29', i30', 2, i12, env, static) :|: 0 <= i25 && 6 <= i30' && i26 + 1 = i29' && 4 <= i26 && 0 < a6 && 5 <= i29' && 2 <= i12 && 0 <= i30' && 3 <= i25 && 0 <= i29' && 2 * i25 = i30' && 2 < i25 && 1 <= i26
by chaining
main_LE_276(a6, i25, iconst_2, i26, i12, env, static) -{0,0}> main_LE_285(a6, i25, iconst_2, i26, i12, env, static) :|: 0 <= i25 && 4 <= i26 && 2 <= i12 && 1 <= i26 && 0 < a6 && 3 <= i25 && iconst_2 = 2
main_LE_285(a6, i25, iconst_2, i26, i12, env, static) -{1,1}> main_Inc_313(a6, i26, i25, iconst_2, i12, env, static) :|: 4 <= i26 && 2 <= i12 && iconst_2 < i25 && 0 < a6 && 3 <= i25 && iconst_2 = 2
main_Inc_313(a6, i26, i25, iconst_2, i12, env, static) -{1,1}> main_ConstantStackPush_322(a6, i29, i25, iconst_2, i12, env, static) :|: 4 <= i26 && 2 <= i12 && 5 <= i29 && 0 < a6 && 3 <= i25 && iconst_2 = 2 && i26 + 1 = i29
main_ConstantStackPush_322(a6, i29, i25, iconst_2, i12, env, static) -{1,1}> main_Load_324(a6, iconst_2, i29, i25, i12, env, static) :|: 2 <= i12 && 5 <= i29 && 0 < a6 && 3 <= i25 && iconst_2 = 2
main_Load_324(a6, iconst_2, i29, i25, i12, env, static) -{1,1}> main_IntArithmetic_332(a6, iconst_2, i25, i29, i12, env, static) :|: 2 <= i12 && 5 <= i29 && 0 < a6 && 3 <= i25 && iconst_2 = 2
main_IntArithmetic_332(a6, iconst_2, i25, i29, i12, env, static) -{1,1}> main_Store_342(a6, i30, i29, iconst_2, i12, env, static) :|: 2 <= i12 && 5 <= i29 && 0 < a6 && 3 <= i25 && iconst_2 * i25 = i30 && iconst_2 = 2 && 6 <= i30
main_Store_342(a6, i30, i29, iconst_2, i12, env, static) -{1,1}> main_JMP_345(a6, i29, i30, iconst_2, i12, env, static) :|: 2 <= i12 && 5 <= i29 && 0 < a6 && iconst_2 = 2 && 6 <= i30
main_JMP_345(a6, i29, i30, iconst_2, i12, env, static) -{1,1}> main_Load_358(a6, i29, i30, iconst_2, i12, env, static) :|: 2 <= i12 && 5 <= i29 && 0 < a6 && iconst_2 = 2 && 6 <= i30
main_Load_358(a6, i29, i30, iconst_2, i12, env, static) -{0,0}> main_Load_233(a6, i29, i30, iconst_2, i12, env, static) :|: 0 <= i29 && 2 <= i12 && 0 <= i30 && 5 <= i29 && 0 < a6 && iconst_2 = 2 && 6 <= i30

(34) Obligation:

IntTrs with 14 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 <= 2 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
random_ArrayAccess_70(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_70(a6, 0, i6, env, static) -{7,7}> random_InvokeMethod_122(o7', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 0 <= o7' && 0 <= static && 1 <= i6 && o7' < a6 && -1 * static <= 0 && static'4 <= static + 1
random_InvokeMethod_122(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_127(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
random_InvokeMethod_122(o15, a6, 1, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i9', i6, env, static) :|: 0 <= a6 && 0 < a6 && i9' <= o15 && 0 <= static && 0 <= i9' && a6 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 <= o15 && 0 < o15
random_ArrayAccess_143(a6, iconst_1, i9, iconst_1, env, static) -{0,0}> random_ArrayAccess_158(a6, iconst_1, i9, env, static) :|: 1 <= iconst_1 && 0 <= i9 && iconst_1 = 1 && 0 < a6
random_ArrayAccess_143(a6, 1, i9, i12, env, static) -{7,7}> random_InvokeMethod_216(o25', a6, i9, 2, i12, env, static'5) :|: o25' < a6 && 1 <= i12 && 0 <= o25' && 0 <= static && 0 < a6 && 2 <= i12 && 0 <= i9 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2
random_InvokeMethod_216(NULL, a6, i9, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_220(NULL, a6, i9, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= i9 && 0 <= NULL && 0 < a6 && iconst_2 = 2
random_InvokeMethod_216(o50, a6, i9, 2, i12, env, static) -{3,3}> main_Load_233(a6, i9, i20', 2, i12, env, static) :|: i20' <= o50 && 0 <= o50 && 0 < a6 && 0 <= i9 && 0 < o50 && 0 <= i20' && 2 <= i12
main_Load_233(a6, i9, i20, 2, i12, env, static) -{2,2}> main_LE_242(a6, i9, i20, 2, i12, env, static) :|: 0 < a6 && 0 <= i9 && 0 <= i20 && 2 <= i12
main_LE_242(a6, i9, i20, iconst_2, i12, env, static) -{0,0}> main_LE_246(a6, i9, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && i9 <= i20 && 0 <= i9 && 0 < a6 && iconst_2 = 2
main_LE_242(a6, i9, i20, 2, i12, env, static) -{3,3}> main_LE_276(a6, i20, 2, i9, i12, env, static) :|: i20 < i9 && 0 <= i9 && 0 < a6 && 1 <= i9 && 0 <= i20 && 2 <= i12
main_LE_276(a6, i24, iconst_2, i9, i12, env, static) -{0,0}> main_LE_284(a6, i24, iconst_2, i9, i12, env, static) :|: 0 <= i24 && 2 <= i12 && 1 <= i9 && i24 <= 2 && 0 < a6 && iconst_2 = 2
main_LE_276(a6, i25, 2, i26, i12, env, static) -{7,7}> main_Load_233(a6, i29', i30', 2, i12, env, static) :|: 0 <= i25 && 6 <= i30' && i26 + 1 = i29' && 4 <= i26 && 0 < a6 && 5 <= i29' && 2 <= i12 && 0 <= i30' && 3 <= i25 && 0 <= i29' && 2 * i25 = i30' && 2 < i25 && 1 <= i26

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

Moved arithmethic from lhss to constraints.

random_ArrayAccess_70(a6, 0, i6, env, static) -{7,7}> random_InvokeMethod_122(o7', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 0 <= o7' && 0 <= static && 1 <= i6 && o7' < a6 && -1 * static <= 0 && static'4 <= static + 1
was transformed to
random_ArrayAccess_70(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_122(o7', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 0 <= o7' && 0 <= static && 1 <= i6 && o7' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0

random_ArrayAccess_143(a6, 1, i9, i12, env, static) -{7,7}> random_InvokeMethod_216(o25', a6, i9, 2, i12, env, static'5) :|: o25' < a6 && 1 <= i12 && 0 <= o25' && 0 <= static && 0 < a6 && 2 <= i12 && 0 <= i9 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2
was transformed to
random_ArrayAccess_143(a6, x, i9, i12, env, static) -{7,7}> random_InvokeMethod_216(o25', a6, i9, 2, i12, env, static'5) :|: o25' < a6 && 1 <= i12 && 0 <= o25' && 0 <= static && 0 < a6 && 2 <= i12 && 0 <= i9 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1

random_InvokeMethod_216(o50, a6, i9, 2, i12, env, static) -{3,3}> main_Load_233(a6, i9, i20', 2, i12, env, static) :|: i20' <= o50 && 0 <= o50 && 0 < a6 && 0 <= i9 && 0 < o50 && 0 <= i20' && 2 <= i12
was transformed to
random_InvokeMethod_216(o50, a6, i9, x, i12, env, static) -{3,3}> main_Load_233(a6, i9, i20', 2, i12, env, static) :|: i20' <= o50 && 0 <= o50 && 0 < a6 && 0 <= i9 && 0 < o50 && 0 <= i20' && 2 <= i12 && x = 2

main_LE_276(a6, i25, 2, i26, i12, env, static) -{7,7}> main_Load_233(a6, i29', i30', 2, i12, env, static) :|: 0 <= i25 && 6 <= i30' && i26 + 1 = i29' && 4 <= i26 && 0 < a6 && 5 <= i29' && 2 <= i12 && 0 <= i30' && 3 <= i25 && 0 <= i29' && 2 * i25 = i30' && 2 < i25 && 1 <= i26
was transformed to
main_LE_276(a6, i25, x, i26, i12, env, static) -{7,7}> main_Load_233(a6, i29', i30', 2, i12, env, static) :|: 0 <= i25 && 6 <= i30' && i26 + 1 = i29' && 4 <= i26 && 0 < a6 && 5 <= i29' && 2 <= i12 && 0 <= i30' && 3 <= i25 && 0 <= i29' && 2 * i25 = i30' && 2 < i25 && 1 <= i26 && x = 2

main_Load_233(a6, i9, i20, 2, i12, env, static) -{2,2}> main_LE_242(a6, i9, i20, 2, i12, env, static) :|: 0 < a6 && 0 <= i9 && 0 <= i20 && 2 <= i12
was transformed to
main_Load_233(a6, i9, i20, x, i12, env, static) -{2,2}> main_LE_242(a6, i9, i20, 2, i12, env, static) :|: 0 < a6 && 0 <= i9 && 0 <= i20 && 2 <= i12 && x = 2

random_InvokeMethod_122(o15, a6, 1, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i9', i6, env, static) :|: 0 <= a6 && 0 < a6 && i9' <= o15 && 0 <= static && 0 <= i9' && a6 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 <= o15 && 0 < o15
was transformed to
random_InvokeMethod_122(o15, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i9', i6, env, static) :|: 0 <= a6 && 0 < a6 && i9' <= o15 && 0 <= static && 0 <= i9' && a6 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 <= o15 && 0 < o15 && x = 1

main_LE_242(a6, i9, i20, 2, i12, env, static) -{3,3}> main_LE_276(a6, i20, 2, i9, i12, env, static) :|: i20 < i9 && 0 <= i9 && 0 < a6 && 1 <= i9 && 0 <= i20 && 2 <= i12
was transformed to
main_LE_242(a6, i9, i20, x, i12, env, static) -{3,3}> main_LE_276(a6, i20, 2, i9, i12, env, static) :|: i20 < i9 && 0 <= i9 && 0 < a6 && 1 <= i9 && 0 <= i20 && 2 <= i12 && x = 2

(36) Obligation:

IntTrs with 14 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_LE_276(a6, i24, iconst_2, i9, i12, env, static) -{0,0}> main_LE_284(a6, i24, iconst_2, i9, i12, env, static) :|: 0 <= i24 && 2 <= i12 && 1 <= i9 && i24 <= 2 && 0 < a6 && iconst_2 = 2
random_ArrayAccess_70(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_122(o7', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 0 <= o7' && 0 <= static && 1 <= i6 && o7' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
random_ArrayAccess_143(a6, x, i9, i12, env, static) -{7,7}> random_InvokeMethod_216(o25', a6, i9, 2, i12, env, static'5) :|: o25' < a6 && 1 <= i12 && 0 <= o25' && 0 <= static && 0 < a6 && 2 <= i12 && 0 <= i9 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
random_InvokeMethod_216(o50, a6, i9, x, i12, env, static) -{3,3}> main_Load_233(a6, i9, i20', 2, i12, env, static) :|: i20' <= o50 && 0 <= o50 && 0 < a6 && 0 <= i9 && 0 < o50 && 0 <= i20' && 2 <= i12 && x = 2
random_InvokeMethod_216(NULL, a6, i9, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_220(NULL, a6, i9, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= i9 && 0 <= NULL && 0 < a6 && iconst_2 = 2
random_ArrayAccess_143(a6, iconst_1, i9, iconst_1, env, static) -{0,0}> random_ArrayAccess_158(a6, iconst_1, i9, env, static) :|: 1 <= iconst_1 && 0 <= i9 && iconst_1 = 1 && 0 < a6
main_LE_276(a6, i25, x, i26, i12, env, static) -{7,7}> main_Load_233(a6, i29', i30', 2, i12, env, static) :|: 0 <= i25 && 6 <= i30' && i26 + 1 = i29' && 4 <= i26 && 0 < a6 && 5 <= i29' && 2 <= i12 && 0 <= i30' && 3 <= i25 && 0 <= i29' && 2 * i25 = i30' && 2 < i25 && 1 <= i26 && x = 2
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 <= 2 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
main_Load_233(a6, i9, i20, x, i12, env, static) -{2,2}> main_LE_242(a6, i9, i20, 2, i12, env, static) :|: 0 < a6 && 0 <= i9 && 0 <= i20 && 2 <= i12 && x = 2
random_InvokeMethod_122(o15, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i9', i6, env, static) :|: 0 <= a6 && 0 < a6 && i9' <= o15 && 0 <= static && 0 <= i9' && a6 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 <= o15 && 0 < o15 && x = 1
random_InvokeMethod_122(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_127(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
main_LE_242(a6, i9, i20, iconst_2, i12, env, static) -{0,0}> main_LE_246(a6, i9, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && i9 <= i20 && 0 <= i9 && 0 < a6 && iconst_2 = 2
main_LE_242(a6, i9, i20, x, i12, env, static) -{3,3}> main_LE_276(a6, i20, 2, i9, i12, env, static) :|: i20 < i9 && 0 <= i9 && 0 < a6 && 1 <= i9 && 0 <= i20 && 2 <= i12 && x = 2
random_ArrayAccess_70(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_143(a6, iconst_1, i9, iconst_1, env, static) -{0,0}> random_ArrayAccess_158(a6, iconst_1, i9, env, static) :|: 1 <= iconst_1 && 0 <= i9 && iconst_1 = 1 && 0 < a6
was transformed to
random_ArrayAccess_143(a6, iconst_1, i9, x, env, static) -{0,0}> random_ArrayAccess_158(a6, iconst_1, i9, env, static) :|: 1 <= iconst_1 && 0 <= i9 && iconst_1 = 1 && 0 < a6 && x = iconst_1

random_ArrayAccess_70(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_70(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 14 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
random_ArrayAccess_143(a6, x, i9, i12, env, static) -{7,7}> random_InvokeMethod_216(o25', a6, i9, 2, i12, env, static'5) :|: o25' < a6 && 1 <= i12 && 0 <= o25' && 0 <= static && 0 < a6 && 2 <= i12 && 0 <= i9 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
main_LE_276(a6, i24, iconst_2, i9, i12, env, static) -{0,0}> main_LE_284(a6, i24, iconst_2, i9, i12, env, static) :|: 0 <= i24 && 2 <= i12 && 1 <= i9 && i24 <= 2 && 0 < a6 && iconst_2 = 2
random_InvokeMethod_122(o15, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i9', i6, env, static) :|: 0 <= a6 && 0 < a6 && i9' <= o15 && 0 <= static && 0 <= i9' && a6 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 <= o15 && 0 < o15 && x = 1
random_ArrayAccess_143(a6, iconst_1, i9, x, env, static) -{0,0}> random_ArrayAccess_158(a6, iconst_1, i9, env, static) :|: 1 <= iconst_1 && 0 <= i9 && iconst_1 = 1 && 0 < a6 && x = iconst_1
random_InvokeMethod_216(NULL, a6, i9, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_220(NULL, a6, i9, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= i9 && 0 <= NULL && 0 < a6 && iconst_2 = 2
main_Load_233(a6, i9, i20, x, i12, env, static) -{2,2}> main_LE_242(a6, i9, i20, 2, i12, env, static) :|: 0 < a6 && 0 <= i9 && 0 <= i20 && 2 <= i12 && x = 2
main_LE_276(a6, i25, x, i26, i12, env, static) -{7,7}> main_Load_233(a6, i29', i30', 2, i12, env, static) :|: 0 <= i25 && 6 <= i30' && i26 + 1 = i29' && 4 <= i26 && 0 < a6 && 5 <= i29' && 2 <= i12 && 0 <= i30' && 3 <= i25 && 0 <= i29' && 2 * i25 = i30' && 2 < i25 && 1 <= i26 && x = 2
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 <= 2 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
main_LE_242(a6, i9, i20, x, i12, env, static) -{3,3}> main_LE_276(a6, i20, 2, i9, i12, env, static) :|: i20 < i9 && 0 <= i9 && 0 < a6 && 1 <= i9 && 0 <= i20 && 2 <= i12 && x = 2
random_ArrayAccess_70(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_122(o7', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 0 <= o7' && 0 <= static && 1 <= i6 && o7' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
random_InvokeMethod_216(o50, a6, i9, x, i12, env, static) -{3,3}> main_Load_233(a6, i9, i20', 2, i12, env, static) :|: i20' <= o50 && 0 <= o50 && 0 < a6 && 0 <= i9 && 0 < o50 && 0 <= i20' && 2 <= i12 && x = 2
random_InvokeMethod_122(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_127(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
main_LE_242(a6, i9, i20, iconst_2, i12, env, static) -{0,0}> main_LE_246(a6, i9, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && i9 <= i20 && 0 <= i9 && 0 < a6 && iconst_2 = 2
random_ArrayAccess_70(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

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

Moved arithmethic from constraints to rhss.

main_LE_276(a6, i24, iconst_2, i9, i12, env, static) -{0,0}> main_LE_284(a6, i24, iconst_2, i9, i12, env, static) :|: 0 <= i24 && 2 <= i12 && 1 <= i9 && i24 <= 2 && 0 < a6 && iconst_2 = 2
was transformed to
main_LE_276(a6, i24, iconst_2, i9, i12, env, static) -{0,0}> main_LE_284(a6, i24, 2, i9, i12, env, static) :|: 0 <= i24 && 2 <= i12 && 1 <= i9 && i24 <= 2 && 0 < a6 && iconst_2 = 2

random_InvokeMethod_216(NULL, a6, i9, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_220(NULL, a6, i9, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= i9 && 0 <= NULL && 0 < a6 && iconst_2 = 2
was transformed to
random_InvokeMethod_216(NULL, a6, i9, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_220(0, a6, i9, 2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= i9 && 0 <= NULL && 0 < a6 && iconst_2 = 2

random_ArrayAccess_143(a6, iconst_1, i9, x, env, static) -{0,0}> random_ArrayAccess_158(a6, iconst_1, i9, env, static) :|: 1 <= iconst_1 && 0 <= i9 && iconst_1 = 1 && 0 < a6 && x = iconst_1
was transformed to
random_ArrayAccess_143(a6, iconst_1, i9, x, env, static) -{0,0}> random_ArrayAccess_158(a6, 1, i9, env, static) :|: 1 <= iconst_1 && 0 <= i9 && iconst_1 = 1 && 0 < a6 && x = iconst_1

main_LE_276(a6, i25, x, i26, i12, env, static) -{7,7}> main_Load_233(a6, i29', i30', 2, i12, env, static) :|: 0 <= i25 && 6 <= i30' && i26 + 1 = i29' && 4 <= i26 && 0 < a6 && 5 <= i29' && 2 <= i12 && 0 <= i30' && 3 <= i25 && 0 <= i29' && 2 * i25 = i30' && 2 < i25 && 1 <= i26 && x = 2
was transformed to
main_LE_276(a6, i25, x, i26, i12, env, static) -{7,7}> main_Load_233(a6, i26 + 1, 2 * i25, 2, i12, env, static) :|: 0 <= i25 && 6 <= i30' && i26 + 1 = i29' && 4 <= i26 && 0 < a6 && 5 <= i29' && 2 <= i12 && 0 <= i30' && 3 <= i25 && 0 <= i29' && 2 * i25 = i30' && 2 < i25 && 1 <= i26 && x = 2

random_InvokeMethod_122(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_127(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
was transformed to
random_InvokeMethod_122(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_127(0, a6, 1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6

random_ArrayAccess_70(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_70(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_242(a6, i9, i20, iconst_2, i12, env, static) -{0,0}> main_LE_246(a6, i9, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && i9 <= i20 && 0 <= i9 && 0 < a6 && iconst_2 = 2
was transformed to
main_LE_242(a6, i9, i20, iconst_2, i12, env, static) -{0,0}> main_LE_246(a6, i9, i20, 2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && i9 <= i20 && 0 <= i9 && 0 < a6 && iconst_2 = 2

(40) Obligation:

IntTrs with 14 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_LE_276(a6, i24, iconst_2, i9, i12, env, static) -{0,0}> main_LE_284(a6, i24, 2, i9, i12, env, static) :|: 0 <= i24 && 2 <= i12 && 1 <= i9 && i24 <= 2 && 0 < a6 && iconst_2 = 2
random_ArrayAccess_143(a6, x, i9, i12, env, static) -{7,7}> random_InvokeMethod_216(o25', a6, i9, 2, i12, env, static'5) :|: o25' < a6 && 1 <= i12 && 0 <= o25' && 0 <= static && 0 < a6 && 2 <= i12 && 0 <= i9 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
random_InvokeMethod_122(o15, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i9', i6, env, static) :|: 0 <= a6 && 0 < a6 && i9' <= o15 && 0 <= static && 0 <= i9' && a6 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 <= o15 && 0 < o15 && x = 1
random_InvokeMethod_216(NULL, a6, i9, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_220(0, a6, i9, 2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= i9 && 0 <= NULL && 0 < a6 && iconst_2 = 2
random_ArrayAccess_143(a6, iconst_1, i9, x, env, static) -{0,0}> random_ArrayAccess_158(a6, 1, i9, env, static) :|: 1 <= iconst_1 && 0 <= i9 && iconst_1 = 1 && 0 < a6 && x = iconst_1
main_LE_276(a6, i25, x, i26, i12, env, static) -{7,7}> main_Load_233(a6, i26 + 1, 2 * i25, 2, i12, env, static) :|: 0 <= i25 && 6 <= i30' && i26 + 1 = i29' && 4 <= i26 && 0 < a6 && 5 <= i29' && 2 <= i12 && 0 <= i30' && 3 <= i25 && 0 <= i29' && 2 * i25 = i30' && 2 < i25 && 1 <= i26 && x = 2
main_Load_233(a6, i9, i20, x, i12, env, static) -{2,2}> main_LE_242(a6, i9, i20, 2, i12, env, static) :|: 0 < a6 && 0 <= i9 && 0 <= i20 && 2 <= i12 && x = 2
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 <= 2 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
main_LE_242(a6, i9, i20, x, i12, env, static) -{3,3}> main_LE_276(a6, i20, 2, i9, i12, env, static) :|: i20 < i9 && 0 <= i9 && 0 < a6 && 1 <= i9 && 0 <= i20 && 2 <= i12 && x = 2
random_ArrayAccess_70(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_122(o7', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 0 <= o7' && 0 <= static && 1 <= i6 && o7' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
random_InvokeMethod_216(o50, a6, i9, x, i12, env, static) -{3,3}> main_Load_233(a6, i9, i20', 2, i12, env, static) :|: i20' <= o50 && 0 <= o50 && 0 < a6 && 0 <= i9 && 0 < o50 && 0 <= i20' && 2 <= i12 && x = 2
random_InvokeMethod_122(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_127(0, a6, 1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
random_ArrayAccess_70(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_242(a6, i9, i20, iconst_2, i12, env, static) -{0,0}> main_LE_246(a6, i9, i20, 2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && i9 <= i20 && 0 <= i9 && 0 < a6 && iconst_2 = 2

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

Simplified expressions.

random_InvokeMethod_122(o15, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i9', i6, env, static) :|: 0 <= a6 && 0 < a6 && i9' <= o15 && 0 <= static && 0 <= i9' && a6 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 <= o15 && 0 < o15 && x = 1
was transformed to
random_InvokeMethod_122(o15, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i9', i6, env, static) :|: 0 < a6 && i9' <= o15 && 0 <= static && 0 <= i9' && a6 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 < o15 && x = 1

main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 <= 2 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
was transformed to
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 <= static'3

random_InvokeMethod_216(o50, a6, i9, x, i12, env, static) -{3,3}> main_Load_233(a6, i9, i20', 2, i12, env, static) :|: i20' <= o50 && 0 <= o50 && 0 < a6 && 0 <= i9 && 0 < o50 && 0 <= i20' && 2 <= i12 && x = 2
was transformed to
random_InvokeMethod_216(o50, a6, i9, x, i12, env, static) -{3,3}> main_Load_233(a6, i9, i20', 2, i12, env, static) :|: i20' <= o50 && 0 < a6 && 0 <= i9 && 0 < o50 && 0 <= i20' && 2 <= i12 && x = 2

(42) Obligation:

IntTrs with 14 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
random_ArrayAccess_70(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
random_ArrayAccess_143(a6, x, i9, i12, env, static) -{7,7}> random_InvokeMethod_216(o25', a6, i9, 2, i12, env, static'5) :|: o25' < a6 && 1 <= i12 && 0 <= o25' && 0 <= static && 0 < a6 && 2 <= i12 && 0 <= i9 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
random_InvokeMethod_216(o50, a6, i9, x, i12, env, static) -{3,3}> main_Load_233(a6, i9, i20', 2, i12, env, static) :|: i20' <= o50 && 0 < a6 && 0 <= i9 && 0 < o50 && 0 <= i20' && 2 <= i12 && x = 2
main_LE_276(a6, i25, x, i26, i12, env, static) -{7,7}> main_Load_233(a6, i26 + 1, 2 * i25, 2, i12, env, static) :|: 0 <= i25 && 6 <= i30' && i26 + 1 = i29' && 4 <= i26 && 0 < a6 && 5 <= i29' && 2 <= i12 && 0 <= i30' && 3 <= i25 && 0 <= i29' && 2 * i25 = i30' && 2 < i25 && 1 <= i26 && x = 2
main_LE_276(a6, i24, iconst_2, i9, i12, env, static) -{0,0}> main_LE_284(a6, i24, 2, i9, i12, env, static) :|: 0 <= i24 && 2 <= i12 && 1 <= i9 && i24 <= 2 && 0 < a6 && iconst_2 = 2
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 <= static'3
random_InvokeMethod_122(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_127(0, a6, 1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
main_Load_233(a6, i9, i20, x, i12, env, static) -{2,2}> main_LE_242(a6, i9, i20, 2, i12, env, static) :|: 0 < a6 && 0 <= i9 && 0 <= i20 && 2 <= i12 && x = 2
random_InvokeMethod_216(NULL, a6, i9, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_220(0, a6, i9, 2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= i9 && 0 <= NULL && 0 < a6 && iconst_2 = 2
main_LE_242(a6, i9, i20, x, i12, env, static) -{3,3}> main_LE_276(a6, i20, 2, i9, i12, env, static) :|: i20 < i9 && 0 <= i9 && 0 < a6 && 1 <= i9 && 0 <= i20 && 2 <= i12 && x = 2
random_InvokeMethod_122(o15, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i9', i6, env, static) :|: 0 < a6 && i9' <= o15 && 0 <= static && 0 <= i9' && a6 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 < o15 && x = 1
random_ArrayAccess_70(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_122(o7', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 0 <= o7' && 0 <= static && 1 <= i6 && o7' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
random_ArrayAccess_143(a6, iconst_1, i9, x, env, static) -{0,0}> random_ArrayAccess_158(a6, 1, i9, env, static) :|: 1 <= iconst_1 && 0 <= i9 && iconst_1 = 1 && 0 < a6 && x = iconst_1
main_LE_242(a6, i9, i20, iconst_2, i12, env, static) -{0,0}> main_LE_246(a6, i9, i20, 2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && i9 <= i20 && 0 <= i9 && 0 < a6 && iconst_2 = 2