The time complexity of the given JBC problem could be proven to be BOUNDS(CONSTANT, 144 + 88 * |args|).

(0) Obligation:

Need to prove time_complexity of the following program:

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

public class PastaC5 {
    public static void main(String[] args) {
        Random.args = args;
        int x = Random.random();
        int y = Random.random();

        if (x > 0 && y > 0) {
            while (x != y) {
                if (x > y) {
                    x = x - y;
                } else {
                    y = y - x;
                }
            }
        }
    }
}


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

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

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

Constructed TerminationGraph.

(2) Obligation:

Termination Graph based on JBC Program:
PastaC5.main([Ljava/lang/String;)V: Graph of 191 nodes with 1 SCC.

(3) TerminationGraphToComplexityProof (BOTH CONCRETE BOUNDS(ID, ADD(94)) transformation)

Extracted set of 89 edges for the analysis of TIME complexity. Dropped leaves.

(4) Obligation:

Set of 89 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 89 jbc graph edges to a weighted ITS with 89 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 89 rules
Start term: main_Load_2(args, env, static)
Considered paths: all paths from start
Rules:
main_Load_2(o1, env, static) -{0,0}> main_Load_3(o1, env, static) :|: 0 < o1
main_Load_3(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_15(a2, o1, iconst_0, env, static) :|: a2 = 2 && iconst_0 = 0 && 0 < a2 && 0 < o1
langle_clinit_rangle_FieldAccess_15(a2, o1, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_17(o1, env, static') :|: 0 <= a2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2 && 0 < o1
langle_clinit_rangle_New_17(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_29(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Load_29(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_31(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_31(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_43(o1, env, static) :|: 0 <= static && 0 < o1
main_Load_43(o1, env, static) -{0,0}> main_Load_45(o1, env, static) :|: 0 < o1
main_Load_45(o1, env, static) -{0,0}> main_Load_46(o1, env, static) :|: 0 < o1
main_Load_46(o1, env, static) -{1,1}> main_FieldAccess_47(o1, env, static) :|: 0 < o1
main_FieldAccess_47(o1, env, static) -{0,0}> main_FieldAccess_48(o1, env, static) :|: 0 < o1
main_FieldAccess_48(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_50(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ConstantStackPush_50(o1, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_53(iconst_0, o1, NULL, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_FieldAccess_53(iconst_0, o1, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_55(o1, NULL, iconst_0, env, static') :|: NULL = 0 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0 && 0 < o1
langle_clinit_rangle_Return_55(o1, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_57(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
main_FieldAccess_57(o1, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_59(o1, iconst_0, env, static') :|: static' <= static + o1 && NULL = 0 && 0 <= o1 && iconst_0 = 0 && 0 <= static && 0 < o1
main_InvokeMethod_59(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_62(o1, iconst_0, env, static) :|: iconst_0 = 0 && 0 < o1
random_FieldAccess_62(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_65(o1, iconst_0, env, static) :|: 0 <= o1 && o1 <= static && iconst_0 = 0 && 0 <= static && 0 < o1
random_FieldAccess_65(o1, iconst_0, env, static) -{1,1}> random_ArrayAccess_68(o1, iconst_0, env, static) :|: -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static && 0 < o1
random_ArrayAccess_68(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_75(a6, iconst_0, i6, env, static) :|: 0 <= i6 && 1 <= i6 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_75(a6, iconst_0, i6, env, static) -{1,1}> random_Store_78(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && o8 < a6 && iconst_0 = 0 && 0 < a6
random_Store_78(o8, a6, iconst_0, i6, env, static) -{1,1}> random_FieldAccess_80(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_0 = 0 && 0 < a6
random_FieldAccess_80(o8, a6, iconst_0, i6, env, static) -{1,1}> random_ConstantStackPush_85(iconst_0, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && 0 < a6 && iconst_0 <= static
random_ConstantStackPush_85(iconst_0, o8, a6, i6, env, static) -{1,1}> random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i6, env, static) -{1,1}> random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i6, env, static) -{1,1}> random_Load_93(o8, a6, iconst_1, i6, env, static') :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 <= static && 0 < a6 && static' <= static + iconst_1
random_Load_93(o8, a6, iconst_1, i6, env, static) -{1,1}> random_InvokeMethod_95(o8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && 0 < a6
random_InvokeMethod_95(o11, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_97(o11, a6, iconst_1, i6, env, static) :|: 0 <= o11 && 1 <= i6 && iconst_1 = 1 && 0 < o11 && 0 < a6
random_InvokeMethod_97(o11, a6, iconst_1, i6, env, static) -{1,1}> random_Return_103(i7, a6, iconst_1, i6, env, static) :|: 1 <= i6 && i7 <= o11 && iconst_1 = 1 && 0 < o11 && 0 < a6 && 0 <= i7
random_Return_103(i7, a6, iconst_1, i6, env, static) -{1,1}> main_Store_109(a6, i7, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i7
main_Store_109(a6, i7, iconst_1, i6, env, static) -{1,1}> main_InvokeMethod_114(a6, i7, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i7
main_InvokeMethod_114(a6, i7, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_118(a6, i7, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i7
random_FieldAccess_118(a6, i7, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_131(a6, i7, iconst_1, i6, env, static) :|: 0 <= a6 && 1 <= i6 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i7
random_FieldAccess_131(a6, i7, iconst_1, i6, env, static) -{1,1}> random_ArrayAccess_134(a6, iconst_1, i7, i6, env, static) :|: -1 * static <= iconst_1 && 1 <= i6 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i7
random_ArrayAccess_134(a6, iconst_1, i7, i12, env, static) -{0,0}> random_ArrayAccess_144(a6, iconst_1, i7, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && 1 <= i12
random_ArrayAccess_144(a6, iconst_1, i7, i12, env, static) -{1,1}> random_Store_151(o25, a6, i7, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && o25 < a6 && 0 < a6 && 0 <= i7 && 0 <= o25
random_Store_151(o25, a6, i7, iconst_1, i12, env, static) -{1,1}> random_FieldAccess_153(o25, a6, i7, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && 0 <= o25
random_FieldAccess_153(o25, a6, i7, iconst_1, i12, env, static) -{1,1}> random_ConstantStackPush_159(iconst_1, o25, a6, i7, i12, env, static) :|: -1 * static <= iconst_1 && 2 <= i12 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i7 && 0 <= o25
random_ConstantStackPush_159(iconst_1, o25, a6, i7, i12, env, static) -{1,1}> random_IntArithmetic_169(iconst_1, o25, a6, i7, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && 0 <= o25
random_IntArithmetic_169(iconst_1, o25, a6, i7, i12, env, static) -{1,1}> random_FieldAccess_176(iconst_2, o25, a6, i7, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && 0 <= o25 && iconst_2 = 2
random_FieldAccess_176(iconst_2, o25, a6, i7, iconst_1, i12, env, static) -{1,1}> random_Load_186(o25, a6, i7, iconst_2, i12, env, static') :|: 2 <= i12 && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i7 && 0 <= o25 && iconst_2 = 2 && static' <= static + iconst_2
random_Load_186(o25, a6, i7, iconst_2, i12, env, static) -{1,1}> random_InvokeMethod_209(o25, a6, i7, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i7 && 0 <= o25 && iconst_2 = 2
random_InvokeMethod_209(o50, a6, i7, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_216(o50, a6, i7, iconst_2, i12, env, static) :|: 0 < o50 && 2 <= i12 && 0 <= o50 && 0 < a6 && 0 <= i7 && iconst_2 = 2
random_InvokeMethod_216(o50, a6, i7, iconst_2, i12, env, static) -{1,1}> random_Return_234(i21, a6, i7, iconst_2, i12, env, static) :|: 0 <= i21 && 0 < o50 && 2 <= i12 && 0 < a6 && 0 <= i7 && iconst_2 = 2 && i21 <= o50
random_Return_234(i21, a6, i7, iconst_2, i12, env, static) -{1,1}> main_Store_252(a6, i21, i7, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 0 <= i7 && iconst_2 = 2
main_Store_252(a6, i21, i7, iconst_2, i12, env, static) -{1,1}> main_Load_260(a6, i7, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 0 <= i7 && iconst_2 = 2
main_Load_260(a6, i7, i21, iconst_2, i12, env, static) -{1,1}> main_LE_264(a6, i7, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 0 <= i7 && iconst_2 = 2
main_LE_264(a6, i23, i21, iconst_2, i12, env, static) -{0,0}> main_LE_270(a6, i23, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2 && 0 <= i23
main_LE_270(a6, i23, i21, iconst_2, i12, env, static) -{1,1}> main_Load_274(a6, i23, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 1 <= i23 && 0 < a6 && 0 < i23 && iconst_2 = 2
main_Load_274(a6, i23, i21, iconst_2, i12, env, static) -{1,1}> main_LE_278(a6, i21, i23, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2
main_LE_278(a6, i24, i23, iconst_2, i12, env, static) -{0,0}> main_LE_283(a6, i24, i23, iconst_2, i12, env, static) :|: 0 <= i24 && 2 <= i12 && 1 <= i24 && 1 <= i23 && 0 < a6 && iconst_2 = 2
main_LE_283(a6, i24, i23, iconst_2, i12, env, static) -{1,1}> main_Load_288(a6, i23, i24, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < i24 && 0 < a6 && iconst_2 = 2
main_Load_288(a6, i23, i24, iconst_2, i12, env, static) -{1,1}> main_Load_292(a6, i23, i24, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2
main_Load_292(a6, i23, i24, iconst_2, i12, env, static) -{1,1}> main_EQ_296(a6, i23, i24, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2
main_EQ_296(a6, i23, i24, iconst_2, i12, env, static) -{0,0}> main_EQ_302(a6, i23, i24, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && !(i23 = i24) && iconst_2 = 2
main_EQ_302(a6, i23, i24, iconst_2, i12, env, static) -{1,1}> main_Load_314(a6, i23, i24, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && !(i23 = i24) && iconst_2 = 2
main_Load_314(a6, i23, i24, iconst_2, i12, env, static) -{1,1}> main_Load_321(a6, i23, i24, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2
main_Load_321(a6, i23, i24, iconst_2, i12, env, static) -{1,1}> main_LE_324(a6, i23, i24, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2
main_LE_324(a6, i23, i24, iconst_2, i12, env, static) -{0,0}> main_LE_329(a6, i23, i24, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && i23 <= i24 && iconst_2 = 2
main_LE_324(a6, i23, i24, iconst_2, i12, env, static) -{0,0}> main_LE_330(a6, i23, i24, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && i24 < i23 && 1 <= i23 && 0 < a6 && iconst_2 = 2
main_LE_329(a6, i23, i24, iconst_2, i12, env, static) -{1,1}> main_Load_336(a6, i23, i24, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && i23 < i24 && 2 <= i24 && 1 <= i23 && 0 < a6 && iconst_2 = 2
main_LE_330(a6, i23, i24, iconst_2, i12, env, static) -{1,1}> main_Load_338(a6, i23, i24, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && i24 < i23 && 2 <= i23 && 1 <= i23 && 0 < a6 && iconst_2 = 2
main_Load_336(a6, i23, i24, iconst_2, i12, env, static) -{1,1}> main_Load_349(a6, i24, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 2 <= i24 && 1 <= i23 && 0 < a6 && iconst_2 = 2
main_Load_338(a6, i23, i24, iconst_2, i12, env, static) -{1,1}> main_Load_351(a6, i23, i24, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 2 <= i23 && 0 < a6 && iconst_2 = 2
main_Load_349(a6, i24, i23, iconst_2, i12, env, static) -{1,1}> main_IntArithmetic_355(a6, i24, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 2 <= i24 && 1 <= i23 && 0 < a6 && iconst_2 = 2
main_Load_351(a6, i23, i24, iconst_2, i12, env, static) -{1,1}> main_IntArithmetic_356(a6, i23, i24, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 2 <= i23 && 0 < a6 && iconst_2 = 2
main_IntArithmetic_355(a6, i24, i23, iconst_2, i12, env, static) -{1,1}> main_Store_361(a6, i27, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 2 <= i24 && 1 <= i23 && 0 < a6 && 1 <= i27 && i24 - i23 = i27 && iconst_2 = 2
main_IntArithmetic_356(a6, i23, i24, iconst_2, i12, env, static) -{1,1}> main_Store_369(a6, i28, i24, iconst_2, i12, env, static) :|: i23 - i24 = i28 && 1 <= i24 && 2 <= i12 && 2 <= i23 && 0 < a6 && 1 <= i28 && iconst_2 = 2
main_Store_361(a6, i27, i23, iconst_2, i12, env, static) -{1,1}> main_JMP_378(a6, i23, i27, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i23 && 0 < a6 && 1 <= i27 && iconst_2 = 2
main_Store_369(a6, i28, i24, iconst_2, i12, env, static) -{1,1}> main_JMP_380(a6, i28, i24, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 0 < a6 && 1 <= i28 && iconst_2 = 2
main_JMP_378(a6, i23, i27, iconst_2, i12, env, static) -{1,1}> main_Load_383(a6, i23, i27, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i23 && 0 < a6 && 1 <= i27 && iconst_2 = 2
main_JMP_380(a6, i28, i24, iconst_2, i12, env, static) -{1,1}> main_Load_385(a6, i28, i24, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 0 < a6 && 1 <= i28 && iconst_2 = 2
main_Load_383(a6, i23, i27, iconst_2, i12, env, static) -{0,0}> main_Load_288(a6, i23, i27, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i23 && 0 < a6 && 1 <= i27 && iconst_2 = 2
main_Load_385(a6, i28, i24, iconst_2, i12, env, static) -{0,0}> main_Load_288(a6, i28, i24, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 0 < a6 && 1 <= i28 && iconst_2 = 2

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

obtained
main_Load_2(o1, env, static) -{50,50}> main_Load_288(o1, i7', i21', 2, i4', env, static'5) :|: static'4 <= static'3 + 1 && 0 <= i7' && 0 < o1 && i21' <= o25' && 0 < i21' && 0 < 1 && 1 <= i7' && 0 <= 1 && 1 <= i21' && 2 <= i4' && o25' < o1 && 0 <= i4' && 1 <= static'4 && 0 < o25' && 0 <= o8' && -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 && static'2 <= static'1 + 0 && -1 * static'3 <= 0 && i7' <= o8' && 0 <= o1 && 0 <= static'2 && o8' < o1 && 0 <= static'4 && o1 <= static'4 && 0 < o8' && 0 <= 2 && 0 <= o25' && 0 <= i21' && static'1 <= static''' + 1 && i4' < o1 && 0 < i7' && static'5 <= static'4 + 2 && 1 <= i4'
by chaining
main_Load_2(o1, env, static) -{0,0}> main_Load_3(o1, env, static) :|: 0 < o1
main_Load_3(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_15(a2, o1, iconst_0, env, static) :|: a2 = 2 && iconst_0 = 0 && 0 < a2 && 0 < o1
langle_clinit_rangle_FieldAccess_15(a2, o1, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_17(o1, env, static') :|: 0 <= a2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2 && 0 < o1
langle_clinit_rangle_New_17(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_29(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Load_29(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_31(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_31(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_43(o1, env, static) :|: 0 <= static && 0 < o1
main_Load_43(o1, env, static) -{0,0}> main_Load_45(o1, env, static) :|: 0 < o1
main_Load_45(o1, env, static) -{0,0}> main_Load_46(o1, env, static) :|: 0 < o1
main_Load_46(o1, env, static) -{1,1}> main_FieldAccess_47(o1, env, static) :|: 0 < o1
main_FieldAccess_47(o1, env, static) -{0,0}> main_FieldAccess_48(o1, env, static) :|: 0 < o1
main_FieldAccess_48(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_50(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ConstantStackPush_50(o1, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_53(iconst_0, o1, NULL, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_FieldAccess_53(iconst_0, o1, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_55(o1, NULL, iconst_0, env, static') :|: NULL = 0 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0 && 0 < o1
langle_clinit_rangle_Return_55(o1, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_57(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
main_FieldAccess_57(o1, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_59(o1, iconst_0, env, static') :|: static' <= static + o1 && NULL = 0 && 0 <= o1 && iconst_0 = 0 && 0 <= static && 0 < o1
main_InvokeMethod_59(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_62(o1, iconst_0, env, static) :|: iconst_0 = 0 && 0 < o1
random_FieldAccess_62(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_65(o1, iconst_0, env, static) :|: 0 <= o1 && o1 <= static && iconst_0 = 0 && 0 <= static && 0 < o1
random_FieldAccess_65(o1, iconst_0, env, static) -{1,1}> random_ArrayAccess_68(o1, iconst_0, env, static) :|: -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static && 0 < o1
random_ArrayAccess_68(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_75(a6, iconst_0, i6, env, static) :|: 0 <= i6 && 1 <= i6 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_75(a6, iconst_0, i6, env, static) -{1,1}> random_Store_78(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && o8 < a6 && iconst_0 = 0 && 0 < a6
random_Store_78(o8, a6, iconst_0, i6, env, static) -{1,1}> random_FieldAccess_80(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_0 = 0 && 0 < a6
random_FieldAccess_80(o8, a6, iconst_0, i6, env, static) -{1,1}> random_ConstantStackPush_85(iconst_0, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && 0 < a6 && iconst_0 <= static
random_ConstantStackPush_85(iconst_0, o8, a6, i6, env, static) -{1,1}> random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i6, env, static) -{1,1}> random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i6, env, static) -{1,1}> random_Load_93(o8, a6, iconst_1, i6, env, static') :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 <= static && 0 < a6 && static' <= static + iconst_1
random_Load_93(o8, a6, iconst_1, i6, env, static) -{1,1}> random_InvokeMethod_95(o8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && 0 < a6
random_InvokeMethod_95(o11, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_97(o11, a6, iconst_1, i6, env, static) :|: 0 <= o11 && 1 <= i6 && iconst_1 = 1 && 0 < o11 && 0 < a6
random_InvokeMethod_97(o11, a6, iconst_1, i6, env, static) -{1,1}> random_Return_103(i7, a6, iconst_1, i6, env, static) :|: 1 <= i6 && i7 <= o11 && iconst_1 = 1 && 0 < o11 && 0 < a6 && 0 <= i7
random_Return_103(i7, a6, iconst_1, i6, env, static) -{1,1}> main_Store_109(a6, i7, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i7
main_Store_109(a6, i7, iconst_1, i6, env, static) -{1,1}> main_InvokeMethod_114(a6, i7, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i7
main_InvokeMethod_114(a6, i7, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_118(a6, i7, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i7
random_FieldAccess_118(a6, i7, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_131(a6, i7, iconst_1, i6, env, static) :|: 0 <= a6 && 1 <= i6 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i7
random_FieldAccess_131(a6, i7, iconst_1, i6, env, static) -{1,1}> random_ArrayAccess_134(a6, iconst_1, i7, i6, env, static) :|: -1 * static <= iconst_1 && 1 <= i6 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i7
random_ArrayAccess_134(a6, iconst_1, i7, i12, env, static) -{0,0}> random_ArrayAccess_144(a6, iconst_1, i7, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && 1 <= i12
random_ArrayAccess_144(a6, iconst_1, i7, i12, env, static) -{1,1}> random_Store_151(o25, a6, i7, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && o25 < a6 && 0 < a6 && 0 <= i7 && 0 <= o25
random_Store_151(o25, a6, i7, iconst_1, i12, env, static) -{1,1}> random_FieldAccess_153(o25, a6, i7, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && 0 <= o25
random_FieldAccess_153(o25, a6, i7, iconst_1, i12, env, static) -{1,1}> random_ConstantStackPush_159(iconst_1, o25, a6, i7, i12, env, static) :|: -1 * static <= iconst_1 && 2 <= i12 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i7 && 0 <= o25
random_ConstantStackPush_159(iconst_1, o25, a6, i7, i12, env, static) -{1,1}> random_IntArithmetic_169(iconst_1, o25, a6, i7, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && 0 <= o25
random_IntArithmetic_169(iconst_1, o25, a6, i7, i12, env, static) -{1,1}> random_FieldAccess_176(iconst_2, o25, a6, i7, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && 0 <= o25 && iconst_2 = 2
random_FieldAccess_176(iconst_2, o25, a6, i7, iconst_1, i12, env, static) -{1,1}> random_Load_186(o25, a6, i7, iconst_2, i12, env, static') :|: 2 <= i12 && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i7 && 0 <= o25 && iconst_2 = 2 && static' <= static + iconst_2
random_Load_186(o25, a6, i7, iconst_2, i12, env, static) -{1,1}> random_InvokeMethod_209(o25, a6, i7, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i7 && 0 <= o25 && iconst_2 = 2
random_InvokeMethod_209(o50, a6, i7, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_216(o50, a6, i7, iconst_2, i12, env, static) :|: 0 < o50 && 2 <= i12 && 0 <= o50 && 0 < a6 && 0 <= i7 && iconst_2 = 2
random_InvokeMethod_216(o50, a6, i7, iconst_2, i12, env, static) -{1,1}> random_Return_234(i21, a6, i7, iconst_2, i12, env, static) :|: 0 <= i21 && 0 < o50 && 2 <= i12 && 0 < a6 && 0 <= i7 && iconst_2 = 2 && i21 <= o50
random_Return_234(i21, a6, i7, iconst_2, i12, env, static) -{1,1}> main_Store_252(a6, i21, i7, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 0 <= i7 && iconst_2 = 2
main_Store_252(a6, i21, i7, iconst_2, i12, env, static) -{1,1}> main_Load_260(a6, i7, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 0 <= i7 && iconst_2 = 2
main_Load_260(a6, i7, i21, iconst_2, i12, env, static) -{1,1}> main_LE_264(a6, i7, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 0 <= i7 && iconst_2 = 2
main_LE_264(a6, i23, i21, iconst_2, i12, env, static) -{0,0}> main_LE_270(a6, i23, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2 && 0 <= i23
main_LE_270(a6, i23, i21, iconst_2, i12, env, static) -{1,1}> main_Load_274(a6, i23, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 1 <= i23 && 0 < a6 && 0 < i23 && iconst_2 = 2
main_Load_274(a6, i23, i21, iconst_2, i12, env, static) -{1,1}> main_LE_278(a6, i21, i23, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2
main_LE_278(a6, i24, i23, iconst_2, i12, env, static) -{0,0}> main_LE_283(a6, i24, i23, iconst_2, i12, env, static) :|: 0 <= i24 && 2 <= i12 && 1 <= i24 && 1 <= i23 && 0 < a6 && iconst_2 = 2
main_LE_283(a6, i24, i23, iconst_2, i12, env, static) -{1,1}> main_Load_288(a6, i23, i24, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < i24 && 0 < a6 && iconst_2 = 2

obtained
main_Load_288(a6, i23, i24, 2, i12, env, static) -{5,5}> main_LE_324(a6, i23, i24, 2, i12, env, static) :|: 1 <= i23 && !(i23 = i24) && 0 < a6 && 1 <= i24 && 2 <= i12
by chaining
main_Load_288(a6, i23, i24, iconst_2, i12, env, static) -{1,1}> main_Load_292(a6, i23, i24, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2
main_Load_292(a6, i23, i24, iconst_2, i12, env, static) -{1,1}> main_EQ_296(a6, i23, i24, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2
main_EQ_296(a6, i23, i24, iconst_2, i12, env, static) -{0,0}> main_EQ_302(a6, i23, i24, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && !(i23 = i24) && iconst_2 = 2
main_EQ_302(a6, i23, i24, iconst_2, i12, env, static) -{1,1}> main_Load_314(a6, i23, i24, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && !(i23 = i24) && iconst_2 = 2
main_Load_314(a6, i23, i24, iconst_2, i12, env, static) -{1,1}> main_Load_321(a6, i23, i24, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2
main_Load_321(a6, i23, i24, iconst_2, i12, env, static) -{1,1}> main_LE_324(a6, i23, i24, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2

obtained
main_LE_324(a6, i23, i24, 2, i12, env, static) -{6,6}> main_Load_288(a6, i28', i24, 2, i12, env, static) :|: i24 < i23 && i23 - i24 = i28' && 1 <= i28' && 1 <= i23 && 0 < a6 && 1 <= i24 && 2 <= i12 && 2 <= i23
by chaining
main_LE_324(a6, i23, i24, iconst_2, i12, env, static) -{0,0}> main_LE_330(a6, i23, i24, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && i24 < i23 && 1 <= i23 && 0 < a6 && iconst_2 = 2
main_LE_330(a6, i23, i24, iconst_2, i12, env, static) -{1,1}> main_Load_338(a6, i23, i24, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && i24 < i23 && 2 <= i23 && 1 <= i23 && 0 < a6 && iconst_2 = 2
main_Load_338(a6, i23, i24, iconst_2, i12, env, static) -{1,1}> main_Load_351(a6, i23, i24, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 2 <= i23 && 0 < a6 && iconst_2 = 2
main_Load_351(a6, i23, i24, iconst_2, i12, env, static) -{1,1}> main_IntArithmetic_356(a6, i23, i24, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 2 <= i23 && 0 < a6 && iconst_2 = 2
main_IntArithmetic_356(a6, i23, i24, iconst_2, i12, env, static) -{1,1}> main_Store_369(a6, i28, i24, iconst_2, i12, env, static) :|: i23 - i24 = i28 && 1 <= i24 && 2 <= i12 && 2 <= i23 && 0 < a6 && 1 <= i28 && iconst_2 = 2
main_Store_369(a6, i28, i24, iconst_2, i12, env, static) -{1,1}> main_JMP_380(a6, i28, i24, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 0 < a6 && 1 <= i28 && iconst_2 = 2
main_JMP_380(a6, i28, i24, iconst_2, i12, env, static) -{1,1}> main_Load_385(a6, i28, i24, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 0 < a6 && 1 <= i28 && iconst_2 = 2
main_Load_385(a6, i28, i24, iconst_2, i12, env, static) -{0,0}> main_Load_288(a6, i28, i24, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 0 < a6 && 1 <= i28 && iconst_2 = 2

obtained
main_LE_324(a6, i23, i24, 2, i12, env, static) -{6,6}> main_Load_288(a6, i23, i27', 2, i12, env, static) :|: i23 <= i24 && 2 <= i24 && 1 <= i27' && 1 <= i23 && 0 < a6 && 2 <= i12 && 1 <= i24 && i23 < i24 && i24 - i23 = i27'
by chaining
main_LE_324(a6, i23, i24, iconst_2, i12, env, static) -{0,0}> main_LE_329(a6, i23, i24, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && i23 <= i24 && iconst_2 = 2
main_LE_329(a6, i23, i24, iconst_2, i12, env, static) -{1,1}> main_Load_336(a6, i23, i24, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && i23 < i24 && 2 <= i24 && 1 <= i23 && 0 < a6 && iconst_2 = 2
main_Load_336(a6, i23, i24, iconst_2, i12, env, static) -{1,1}> main_Load_349(a6, i24, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 2 <= i24 && 1 <= i23 && 0 < a6 && iconst_2 = 2
main_Load_349(a6, i24, i23, iconst_2, i12, env, static) -{1,1}> main_IntArithmetic_355(a6, i24, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 2 <= i24 && 1 <= i23 && 0 < a6 && iconst_2 = 2
main_IntArithmetic_355(a6, i24, i23, iconst_2, i12, env, static) -{1,1}> main_Store_361(a6, i27, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 2 <= i24 && 1 <= i23 && 0 < a6 && 1 <= i27 && i24 - i23 = i27 && iconst_2 = 2
main_Store_361(a6, i27, i23, iconst_2, i12, env, static) -{1,1}> main_JMP_378(a6, i23, i27, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i23 && 0 < a6 && 1 <= i27 && iconst_2 = 2
main_JMP_378(a6, i23, i27, iconst_2, i12, env, static) -{1,1}> main_Load_383(a6, i23, i27, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i23 && 0 < a6 && 1 <= i27 && iconst_2 = 2
main_Load_383(a6, i23, i27, iconst_2, i12, env, static) -{0,0}> main_Load_288(a6, i23, i27, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i23 && 0 < a6 && 1 <= i27 && iconst_2 = 2

(8) Obligation:

IntTrs with 4 rules
Start term: main_Load_2(args, env, static)
Considered paths: all paths from start
Rules:
main_Load_2(o1, env, static) -{50,50}> main_Load_288(o1, i7', i21', 2, i4', env, static'5) :|: static'4 <= static'3 + 1 && 0 <= i7' && 0 < o1 && i21' <= o25' && 0 < i21' && 0 < 1 && 1 <= i7' && 0 <= 1 && 1 <= i21' && 2 <= i4' && o25' < o1 && 0 <= i4' && 1 <= static'4 && 0 < o25' && 0 <= o8' && -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 && static'2 <= static'1 + 0 && -1 * static'3 <= 0 && i7' <= o8' && 0 <= o1 && 0 <= static'2 && o8' < o1 && 0 <= static'4 && o1 <= static'4 && 0 < o8' && 0 <= 2 && 0 <= o25' && 0 <= i21' && static'1 <= static''' + 1 && i4' < o1 && 0 < i7' && static'5 <= static'4 + 2 && 1 <= i4'
main_Load_288(a6, i23, i24, 2, i12, env, static) -{5,5}> main_LE_324(a6, i23, i24, 2, i12, env, static) :|: 1 <= i23 && !(i23 = i24) && 0 < a6 && 1 <= i24 && 2 <= i12
main_LE_324(a6, i23, i24, 2, i12, env, static) -{6,6}> main_Load_288(a6, i28', i24, 2, i12, env, static) :|: i24 < i23 && i23 - i24 = i28' && 1 <= i28' && 1 <= i23 && 0 < a6 && 1 <= i24 && 2 <= i12 && 2 <= i23
main_LE_324(a6, i23, i24, 2, i12, env, static) -{6,6}> main_Load_288(a6, i23, i27', 2, i12, env, static) :|: i23 <= i24 && 2 <= i24 && 1 <= i27' && 1 <= i23 && 0 < a6 && 2 <= i12 && 1 <= i24 && i23 < i24 && i24 - i23 = i27'

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

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

main_Load_2(x1, x2, x3) → main_Load_2(x1, x3)
main_Load_288(x1, x2, x3, x4, x5, x6, x7) → main_Load_288(x1, x2, x3, x5)
main_LE_324(x1, x2, x3, x4, x5, x6, x7) → main_LE_324(x1, x2, x3, x5)

(10) Obligation:

IntTrs with 4 rules
Start term: main_Load_2(args, static)
Considered paths: all paths from start
Rules:
main_Load_2(o1, static) -{50,50}> main_Load_288(o1, i7', i21', i4') :|: static'4 <= static'3 + 1 && 0 <= i7' && 0 < o1 && i21' <= o25' && 0 < i21' && 0 < 1 && 1 <= i7' && 0 <= 1 && 1 <= i21' && 2 <= i4' && o25' < o1 && 0 <= i4' && 1 <= static'4 && 0 < o25' && 0 <= o8' && -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 && static'2 <= static'1 + 0 && -1 * static'3 <= 0 && i7' <= o8' && 0 <= o1 && 0 <= static'2 && o8' < o1 && 0 <= static'4 && o1 <= static'4 && 0 < o8' && 0 <= 2 && 0 <= o25' && 0 <= i21' && static'1 <= static''' + 1 && i4' < o1 && 0 < i7' && static'5 <= static'4 + 2 && 1 <= i4'
main_Load_288(a6, i23, i24, i12) -{5,5}> main_LE_324(a6, i23, i24, i12) :|: 1 <= i23 && !(i23 = i24) && 0 < a6 && 1 <= i24 && 2 <= i12
main_LE_324(a6, i23, i24, i12) -{6,6}> main_Load_288(a6, i28', i24, i12) :|: i24 < i23 && i23 - i24 = i28' && 1 <= i28' && 1 <= i23 && 0 < a6 && 1 <= i24 && 2 <= i12 && 2 <= i23
main_LE_324(a6, i23, i24, i12) -{6,6}> main_Load_288(a6, i23, i27', i12) :|: i23 <= i24 && 2 <= i24 && 1 <= i27' && 1 <= i23 && 0 < a6 && 2 <= i12 && 1 <= i24 && i23 < i24 && i24 - i23 = i27'

(11) RemoveDivModProof (CONCRETE UPPER BOUND(ID) transformation)

Removed div and mod.

main_Load_288(a6, i23, i24, i12) -{5,5}> main_LE_324(a6, i23, i24, i12) :|: 1 <= i23 && !(i23 = i24) && 0 < a6 && 1 <= i24 && 2 <= i12
was transformed to
main_Load_288(a6, i23, i24, i12) -{5,5}> main_LE_324(a6, i23, i24, i12) :|: 1 <= i23 && i23 < i24 && 0 < a6 && 1 <= i24 && 2 <= i12
main_Load_288(a6, i23, i24, i12) -{5,5}> main_LE_324(a6, i23, i24, i12) :|: 1 <= i23 && i23 > i24 && 0 < a6 && 1 <= i24 && 2 <= i12

(12) Obligation:

IntTrs with 5 rules
Start term: main_Load_2(args, static)
Considered paths: all paths from start
Rules:
main_Load_288(a6, i23, i24, i12) -{5,5}> main_LE_324(a6, i23, i24, i12) :|: 1 <= i23 && i23 < i24 && 0 < a6 && 1 <= i24 && 2 <= i12
main_LE_324(a6, i23, i24, i12) -{6,6}> main_Load_288(a6, i23, i27', i12) :|: i23 <= i24 && 2 <= i24 && 1 <= i27' && 1 <= i23 && 0 < a6 && 2 <= i12 && 1 <= i24 && i23 < i24 && i24 - i23 = i27'
main_Load_2(o1, static) -{50,50}> main_Load_288(o1, i7', i21', i4') :|: static'4 <= static'3 + 1 && 0 <= i7' && 0 < o1 && i21' <= o25' && 0 < i21' && 0 < 1 && 1 <= i7' && 0 <= 1 && 1 <= i21' && 2 <= i4' && o25' < o1 && 0 <= i4' && 1 <= static'4 && 0 < o25' && 0 <= o8' && -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 && static'2 <= static'1 + 0 && -1 * static'3 <= 0 && i7' <= o8' && 0 <= o1 && 0 <= static'2 && o8' < o1 && 0 <= static'4 && o1 <= static'4 && 0 < o8' && 0 <= 2 && 0 <= o25' && 0 <= i21' && static'1 <= static''' + 1 && i4' < o1 && 0 < i7' && static'5 <= static'4 + 2 && 1 <= i4'
main_LE_324(a6, i23, i24, i12) -{6,6}> main_Load_288(a6, i28', i24, i12) :|: i24 < i23 && i23 - i24 = i28' && 1 <= i28' && 1 <= i23 && 0 < a6 && 1 <= i24 && 2 <= i12 && 2 <= i23
main_Load_288(a6, i23, i24, i12) -{5,5}> main_LE_324(a6, i23, i24, i12) :|: 1 <= i23 && i23 > i24 && 0 < a6 && 1 <= i24 && 2 <= i12

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

Moved arithmethic from constraints to rhss.

main_LE_324(a6, i23, i24, i12) -{6,6}> main_Load_288(a6, i23, i27', i12) :|: i23 <= i24 && 2 <= i24 && 1 <= i27' && 1 <= i23 && 0 < a6 && 2 <= i12 && 1 <= i24 && i23 < i24 && i24 - i23 = i27'
was transformed to
main_LE_324(a6, i23, i24, i12) -{6,6}> main_Load_288(a6, i23, i24 - i23, i12) :|: i23 <= i24 && 2 <= i24 && 1 <= i27' && 1 <= i23 && 0 < a6 && 2 <= i12 && 1 <= i24 && i23 < i24 && i24 - i23 = i27'

main_LE_324(a6, i23, i24, i12) -{6,6}> main_Load_288(a6, i28', i24, i12) :|: i24 < i23 && i23 - i24 = i28' && 1 <= i28' && 1 <= i23 && 0 < a6 && 1 <= i24 && 2 <= i12 && 2 <= i23
was transformed to
main_LE_324(a6, i23, i24, i12) -{6,6}> main_Load_288(a6, i23 - i24, i24, i12) :|: i24 < i23 && i23 - i24 = i28' && 1 <= i28' && 1 <= i23 && 0 < a6 && 1 <= i24 && 2 <= i12 && 2 <= i23

(14) Obligation:

IntTrs with 5 rules
Start term: main_Load_2(args, static)
Considered paths: all paths from start
Rules:
main_Load_288(a6, i23, i24, i12) -{5,5}> main_LE_324(a6, i23, i24, i12) :|: 1 <= i23 && i23 < i24 && 0 < a6 && 1 <= i24 && 2 <= i12
main_LE_324(a6, i23, i24, i12) -{6,6}> main_Load_288(a6, i23, i24 - i23, i12) :|: i23 <= i24 && 2 <= i24 && 1 <= i27' && 1 <= i23 && 0 < a6 && 2 <= i12 && 1 <= i24 && i23 < i24 && i24 - i23 = i27'
main_Load_2(o1, static) -{50,50}> main_Load_288(o1, i7', i21', i4') :|: static'4 <= static'3 + 1 && 0 <= i7' && 0 < o1 && i21' <= o25' && 0 < i21' && 0 < 1 && 1 <= i7' && 0 <= 1 && 1 <= i21' && 2 <= i4' && o25' < o1 && 0 <= i4' && 1 <= static'4 && 0 < o25' && 0 <= o8' && -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 && static'2 <= static'1 + 0 && -1 * static'3 <= 0 && i7' <= o8' && 0 <= o1 && 0 <= static'2 && o8' < o1 && 0 <= static'4 && o1 <= static'4 && 0 < o8' && 0 <= 2 && 0 <= o25' && 0 <= i21' && static'1 <= static''' + 1 && i4' < o1 && 0 < i7' && static'5 <= static'4 + 2 && 1 <= i4'
main_LE_324(a6, i23, i24, i12) -{6,6}> main_Load_288(a6, i23 - i24, i24, i12) :|: i24 < i23 && i23 - i24 = i28' && 1 <= i28' && 1 <= i23 && 0 < a6 && 1 <= i24 && 2 <= i12 && 2 <= i23
main_Load_288(a6, i23, i24, i12) -{5,5}> main_LE_324(a6, i23, i24, i12) :|: 1 <= i23 && i23 > i24 && 0 < a6 && 1 <= i24 && 2 <= i12

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

Simplified expressions.

main_LE_324(a6, i23, i24, i12) -{6,6}> main_Load_288(a6, i23, i24 - i23, i12) :|: i23 <= i24 && 2 <= i24 && 1 <= i27' && 1 <= i23 && 0 < a6 && 2 <= i12 && 1 <= i24 && i23 < i24 && i24 - i23 = i27'
was transformed to
main_LE_324(a6, i23, i24, i12) -{6,6}> main_Load_288(a6, i23, i24 + -1 * i23, i12) :|: 2 <= i24 && 1 <= i27' && 1 <= i23 && 0 < a6 && 2 <= i12 && 1 <= i24 && i23 < i24 && i24 + -1 * i23 = i27'

main_Load_2(o1, static) -{50,50}> main_Load_288(o1, i7', i21', i4') :|: static'4 <= static'3 + 1 && 0 <= i7' && 0 < o1 && i21' <= o25' && 0 < i21' && 0 < 1 && 1 <= i7' && 0 <= 1 && 1 <= i21' && 2 <= i4' && o25' < o1 && 0 <= i4' && 1 <= static'4 && 0 < o25' && 0 <= o8' && -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 && static'2 <= static'1 + 0 && -1 * static'3 <= 0 && i7' <= o8' && 0 <= o1 && 0 <= static'2 && o8' < o1 && 0 <= static'4 && o1 <= static'4 && 0 < o8' && 0 <= 2 && 0 <= o25' && 0 <= i21' && static'1 <= static''' + 1 && i4' < o1 && 0 < i7' && static'5 <= static'4 + 2 && 1 <= i4'
was transformed to
main_Load_2(o1, static) -{50,50}> main_Load_288(o1, i7', i21', i4') :|: static'4 <= static'3 + 1 && 0 < o1 && i21' <= o25' && 0 < i21' && 1 <= i7' && 1 <= i21' && 2 <= i4' && o25' < o1 && 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 && static'2 <= static'1 && -1 * static'3 <= 0 && i7' <= o8' && 0 <= static'2 && o8' < o1 && 0 <= static'4 && o1 <= static'4 && 0 < o8' && static'1 <= static''' + 1 && i4' < o1 && 0 < i7' && static'5 <= static'4 + 2 && 1 <= i4'

main_LE_324(a6, i23, i24, i12) -{6,6}> main_Load_288(a6, i23 - i24, i24, i12) :|: i24 < i23 && i23 - i24 = i28' && 1 <= i28' && 1 <= i23 && 0 < a6 && 1 <= i24 && 2 <= i12 && 2 <= i23
was transformed to
main_LE_324(a6, i23, i24, i12) -{6,6}> main_Load_288(a6, i23 + -1 * i24, i24, i12) :|: i24 < i23 && i23 + -1 * i24 = i28' && 1 <= i28' && 1 <= i23 && 0 < a6 && 1 <= i24 && 2 <= i12 && 2 <= i23

main_Load_288(a6, i23, i24, i12) -{5,5}> main_LE_324(a6, i23, i24, i12) :|: 1 <= i23 && i23 > i24 && 0 < a6 && 1 <= i24 && 2 <= i12
was transformed to
main_Load_288(a6, i23, i24, i12) -{5,5}> main_LE_324(a6, i23, i24, i12) :|: 1 <= i23 && i24 < i23 && 0 < a6 && 1 <= i24 && 2 <= i12

(16) Obligation:

IntTrs with 5 rules
Start term: main_Load_2(args, static)
Considered paths: all paths from start
Rules:
main_Load_288(a6, i23, i24, i12) -{5,5}> main_LE_324(a6, i23, i24, i12) :|: 1 <= i23 && i23 < i24 && 0 < a6 && 1 <= i24 && 2 <= i12
main_Load_288(a6, i23, i24, i12) -{5,5}> main_LE_324(a6, i23, i24, i12) :|: 1 <= i23 && i24 < i23 && 0 < a6 && 1 <= i24 && 2 <= i12
main_Load_2(o1, static) -{50,50}> main_Load_288(o1, i7', i21', i4') :|: static'4 <= static'3 + 1 && 0 < o1 && i21' <= o25' && 0 < i21' && 1 <= i7' && 1 <= i21' && 2 <= i4' && o25' < o1 && 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 && static'2 <= static'1 && -1 * static'3 <= 0 && i7' <= o8' && 0 <= static'2 && o8' < o1 && 0 <= static'4 && o1 <= static'4 && 0 < o8' && static'1 <= static''' + 1 && i4' < o1 && 0 < i7' && static'5 <= static'4 + 2 && 1 <= i4'
main_LE_324(a6, i23, i24, i12) -{6,6}> main_Load_288(a6, i23 + -1 * i24, i24, i12) :|: i24 < i23 && i23 + -1 * i24 = i28' && 1 <= i28' && 1 <= i23 && 0 < a6 && 1 <= i24 && 2 <= i12 && 2 <= i23
main_LE_324(a6, i23, i24, i12) -{6,6}> main_Load_288(a6, i23, i24 + -1 * i23, i12) :|: 2 <= i24 && 1 <= i27' && 1 <= i23 && 0 < a6 && 2 <= i12 && 1 <= i24 && i23 < i24 && i24 + -1 * i23 = i27'

(17) koat Proof (EQUIVALENT transformation)

YES(?, 88*ar_0 + 50)

Initial complexity problem:
1: T:
(Comp: ?, Cost: 5) main_Load_288(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_LE_324(ar_0, ar_1, ar_2, ar_3)) [ 1 <= ar_1 /\ ar_1 < ar_2 /\ 0 < ar_0 /\ 1 <= ar_2 /\ 2 <= ar_3 ]
(Comp: ?, Cost: 5) main_Load_288(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_LE_324(ar_0, ar_1, ar_2, ar_3)) [ 1 <= ar_1 /\ ar_2 < ar_1 /\ 0 < ar_0 /\ 1 <= ar_2 /\ 2 <= ar_3 ]
(Comp: ?, Cost: 50) main_Load_2(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_288(ar_0, i7', i21', i4')) [ static'4 <= static'3 + 1 /\ 0 < ar_0 /\ i21' <= o25' /\ 0 < i21' /\ 1 <= i7' /\ 1 <= i21' /\ 2 <= i4' /\ o25' < ar_0 /\ 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'2 <= static'1 /\ -static'3 <= 0 /\ i7' <= o8' /\ 0 <= static'2 /\ o8' < ar_0 /\ 0 <= static'4 /\ ar_0 <= static'4 /\ 0 < o8' /\ static'1 <= static''' + 1 /\ i4' < ar_0 /\ 0 < i7' /\ static'5 <= static'4 + 2 /\ 1 <= i4' ]
(Comp: ?, Cost: 6) main_LE_324(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_288(ar_0, ar_1 - ar_2, ar_2, ar_3)) [ ar_2 < ar_1 /\ ar_1 - ar_2 = i28' /\ 1 <= i28' /\ 1 <= ar_1 /\ 0 < ar_0 /\ 1 <= ar_2 /\ 2 <= ar_3 /\ 2 <= ar_1 ]
(Comp: ?, Cost: 6) main_LE_324(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_288(ar_0, ar_1, ar_2 - ar_1, ar_3)) [ 2 <= ar_2 /\ 1 <= i27' /\ 1 <= ar_1 /\ 0 < ar_0 /\ 2 <= ar_3 /\ 1 <= ar_2 /\ ar_1 < ar_2 /\ ar_2 - ar_1 = i27' ]
(Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_2(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]
start location: koat_start
leaf cost: 0

Repeatedly propagating knowledge in problem 1 produces the following problem:
2: T:
(Comp: ?, Cost: 5) main_Load_288(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_LE_324(ar_0, ar_1, ar_2, ar_3)) [ 1 <= ar_1 /\ ar_1 < ar_2 /\ 0 < ar_0 /\ 1 <= ar_2 /\ 2 <= ar_3 ]
(Comp: ?, Cost: 5) main_Load_288(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_LE_324(ar_0, ar_1, ar_2, ar_3)) [ 1 <= ar_1 /\ ar_2 < ar_1 /\ 0 < ar_0 /\ 1 <= ar_2 /\ 2 <= ar_3 ]
(Comp: 1, Cost: 50) main_Load_2(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_288(ar_0, i7', i21', i4')) [ static'4 <= static'3 + 1 /\ 0 < ar_0 /\ i21' <= o25' /\ 0 < i21' /\ 1 <= i7' /\ 1 <= i21' /\ 2 <= i4' /\ o25' < ar_0 /\ 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'2 <= static'1 /\ -static'3 <= 0 /\ i7' <= o8' /\ 0 <= static'2 /\ o8' < ar_0 /\ 0 <= static'4 /\ ar_0 <= static'4 /\ 0 < o8' /\ static'1 <= static''' + 1 /\ i4' < ar_0 /\ 0 < i7' /\ static'5 <= static'4 + 2 /\ 1 <= i4' ]
(Comp: ?, Cost: 6) main_LE_324(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_288(ar_0, ar_1 - ar_2, ar_2, ar_3)) [ ar_2 < ar_1 /\ ar_1 - ar_2 = i28' /\ 1 <= i28' /\ 1 <= ar_1 /\ 0 < ar_0 /\ 1 <= ar_2 /\ 2 <= ar_3 /\ 2 <= ar_1 ]
(Comp: ?, Cost: 6) main_LE_324(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_288(ar_0, ar_1, ar_2 - ar_1, ar_3)) [ 2 <= ar_2 /\ 1 <= i27' /\ 1 <= ar_1 /\ 0 < ar_0 /\ 2 <= ar_3 /\ 1 <= ar_2 /\ ar_1 < ar_2 /\ ar_2 - ar_1 = i27' ]
(Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_2(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]
start location: koat_start
leaf cost: 0

A polynomial rank function with
Pol(main_Load_288) = 2*V_2 + 2*V_3
Pol(main_LE_324) = 2*V_2 + 2*V_3 - 1
Pol(main_Load_2) = 4*V_1
Pol(koat_start) = 4*V_1
orients all transitions weakly and the transitions
main_Load_288(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_LE_324(ar_0, ar_1, ar_2, ar_3)) [ 1 <= ar_1 /\ ar_2 < ar_1 /\ 0 < ar_0 /\ 1 <= ar_2 /\ 2 <= ar_3 ]
main_Load_288(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_LE_324(ar_0, ar_1, ar_2, ar_3)) [ 1 <= ar_1 /\ ar_1 < ar_2 /\ 0 < ar_0 /\ 1 <= ar_2 /\ 2 <= ar_3 ]
main_LE_324(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_288(ar_0, ar_1 - ar_2, ar_2, ar_3)) [ ar_2 < ar_1 /\ ar_1 - ar_2 = i28' /\ 1 <= i28' /\ 1 <= ar_1 /\ 0 < ar_0 /\ 1 <= ar_2 /\ 2 <= ar_3 /\ 2 <= ar_1 ]
main_LE_324(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_288(ar_0, ar_1, ar_2 - ar_1, ar_3)) [ 2 <= ar_2 /\ 1 <= i27' /\ 1 <= ar_1 /\ 0 < ar_0 /\ 2 <= ar_3 /\ 1 <= ar_2 /\ ar_1 < ar_2 /\ ar_2 - ar_1 = i27' ]
strictly and produces the following problem:
3: T:
(Comp: 4*ar_0, Cost: 5) main_Load_288(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_LE_324(ar_0, ar_1, ar_2, ar_3)) [ 1 <= ar_1 /\ ar_1 < ar_2 /\ 0 < ar_0 /\ 1 <= ar_2 /\ 2 <= ar_3 ]
(Comp: 4*ar_0, Cost: 5) main_Load_288(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_LE_324(ar_0, ar_1, ar_2, ar_3)) [ 1 <= ar_1 /\ ar_2 < ar_1 /\ 0 < ar_0 /\ 1 <= ar_2 /\ 2 <= ar_3 ]
(Comp: 1, Cost: 50) main_Load_2(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_288(ar_0, i7', i21', i4')) [ static'4 <= static'3 + 1 /\ 0 < ar_0 /\ i21' <= o25' /\ 0 < i21' /\ 1 <= i7' /\ 1 <= i21' /\ 2 <= i4' /\ o25' < ar_0 /\ 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'2 <= static'1 /\ -static'3 <= 0 /\ i7' <= o8' /\ 0 <= static'2 /\ o8' < ar_0 /\ 0 <= static'4 /\ ar_0 <= static'4 /\ 0 < o8' /\ static'1 <= static''' + 1 /\ i4' < ar_0 /\ 0 < i7' /\ static'5 <= static'4 + 2 /\ 1 <= i4' ]
(Comp: 4*ar_0, Cost: 6) main_LE_324(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_288(ar_0, ar_1 - ar_2, ar_2, ar_3)) [ ar_2 < ar_1 /\ ar_1 - ar_2 = i28' /\ 1 <= i28' /\ 1 <= ar_1 /\ 0 < ar_0 /\ 1 <= ar_2 /\ 2 <= ar_3 /\ 2 <= ar_1 ]
(Comp: 4*ar_0, Cost: 6) main_LE_324(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_288(ar_0, ar_1, ar_2 - ar_1, ar_3)) [ 2 <= ar_2 /\ 1 <= i27' /\ 1 <= ar_1 /\ 0 < ar_0 /\ 2 <= ar_3 /\ 1 <= ar_2 /\ ar_1 < ar_2 /\ ar_2 - ar_1 = i27' ]
(Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_2(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]
start location: koat_start
leaf cost: 0

Complexity upper bound 88*ar_0 + 50

Time: 0.269 sec (SMT: 0.239 sec)

(18) BOUNDS(CONSTANT, 50 + 88 * |args|)

(19) TerminationGraphToComplexityProof (BOTH CONCRETE BOUNDS(ID, ADD(94)) transformation)

Extracted set of 96 edges for the analysis of TIME complexity. Kept leaves.

(20) Obligation:

Set of 96 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

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

Transformed 96 jbc graph edges to a weighted ITS with 96 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.

(22) Obligation:

IntTrs with 96 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_2(o1, env, static) -{0,0}> main_Load_3(o1, env, static) :|: 0 < o1
main_Load_3(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_15(a2, o1, iconst_0, env, static) :|: a2 = 2 && iconst_0 = 0 && 0 < a2 && 0 < o1
langle_clinit_rangle_FieldAccess_15(a2, o1, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_17(o1, env, static') :|: 0 <= a2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2 && 0 < o1
langle_clinit_rangle_New_17(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_29(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Load_29(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_31(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_31(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_43(o1, env, static) :|: 0 <= static && 0 < o1
main_Load_43(o1, env, static) -{0,0}> main_Load_45(o1, env, static) :|: 0 < o1
main_Load_45(o1, env, static) -{0,0}> main_Load_46(o1, env, static) :|: 0 < o1
main_Load_46(o1, env, static) -{1,1}> main_FieldAccess_47(o1, env, static) :|: 0 < o1
main_FieldAccess_47(o1, env, static) -{0,0}> main_FieldAccess_48(o1, env, static) :|: 0 < o1
main_FieldAccess_48(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_50(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ConstantStackPush_50(o1, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_53(iconst_0, o1, NULL, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_FieldAccess_53(iconst_0, o1, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_55(o1, NULL, iconst_0, env, static') :|: NULL = 0 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0 && 0 < o1
langle_clinit_rangle_Return_55(o1, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_57(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
main_FieldAccess_57(o1, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_59(o1, iconst_0, env, static') :|: static' <= static + o1 && NULL = 0 && 0 <= o1 && iconst_0 = 0 && 0 <= static && 0 < o1
main_InvokeMethod_59(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_62(o1, iconst_0, env, static) :|: iconst_0 = 0 && 0 < o1
random_FieldAccess_62(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_65(o1, iconst_0, env, static) :|: 0 <= o1 && o1 <= static && iconst_0 = 0 && 0 <= static && 0 < o1
random_FieldAccess_65(o1, iconst_0, env, static) -{1,1}> random_ArrayAccess_68(o1, iconst_0, env, static) :|: -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static && 0 < o1
random_ArrayAccess_68(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_74(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_75(a6, iconst_0, i6, env, static) :|: 0 <= i6 && 1 <= i6 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_75(a6, iconst_0, i6, env, static) -{1,1}> random_Store_78(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && o8 < a6 && iconst_0 = 0 && 0 < a6
random_Store_78(o8, a6, iconst_0, i6, env, static) -{1,1}> random_FieldAccess_80(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_0 = 0 && 0 < a6
random_FieldAccess_80(o8, a6, iconst_0, i6, env, static) -{1,1}> random_ConstantStackPush_85(iconst_0, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && 0 < a6 && iconst_0 <= static
random_ConstantStackPush_85(iconst_0, o8, a6, i6, env, static) -{1,1}> random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i6, env, static) -{1,1}> random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i6, env, static) -{1,1}> random_Load_93(o8, a6, iconst_1, i6, env, static') :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 <= static && 0 < a6 && static' <= static + iconst_1
random_Load_93(o8, a6, iconst_1, i6, env, static) -{1,1}> random_InvokeMethod_95(o8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && 0 < a6
random_InvokeMethod_95(o11, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_97(o11, a6, iconst_1, i6, env, static) :|: 0 <= o11 && 1 <= i6 && iconst_1 = 1 && 0 < o11 && 0 < a6
random_InvokeMethod_95(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_98(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
random_InvokeMethod_97(o11, a6, iconst_1, i6, env, static) -{1,1}> random_Return_103(i7, a6, iconst_1, i6, env, static) :|: 1 <= i6 && i7 <= o11 && iconst_1 = 1 && 0 < o11 && 0 < a6 && 0 <= i7
random_Return_103(i7, a6, iconst_1, i6, env, static) -{1,1}> main_Store_109(a6, i7, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i7
main_Store_109(a6, i7, iconst_1, i6, env, static) -{1,1}> main_InvokeMethod_114(a6, i7, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i7
main_InvokeMethod_114(a6, i7, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_118(a6, i7, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i7
random_FieldAccess_118(a6, i7, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_131(a6, i7, iconst_1, i6, env, static) :|: 0 <= a6 && 1 <= i6 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i7
random_FieldAccess_131(a6, i7, iconst_1, i6, env, static) -{1,1}> random_ArrayAccess_134(a6, iconst_1, i7, i6, env, static) :|: -1 * static <= iconst_1 && 1 <= i6 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i7
random_ArrayAccess_134(a6, iconst_1, i7, iconst_1, env, static) -{0,0}> random_ArrayAccess_143(a6, iconst_1, i7, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i7
random_ArrayAccess_134(a6, iconst_1, i7, i12, env, static) -{0,0}> random_ArrayAccess_144(a6, iconst_1, i7, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && 1 <= i12
random_ArrayAccess_144(a6, iconst_1, i7, i12, env, static) -{1,1}> random_Store_151(o25, a6, i7, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && o25 < a6 && 0 < a6 && 0 <= i7 && 0 <= o25
random_Store_151(o25, a6, i7, iconst_1, i12, env, static) -{1,1}> random_FieldAccess_153(o25, a6, i7, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && 0 <= o25
random_FieldAccess_153(o25, a6, i7, iconst_1, i12, env, static) -{1,1}> random_ConstantStackPush_159(iconst_1, o25, a6, i7, i12, env, static) :|: -1 * static <= iconst_1 && 2 <= i12 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i7 && 0 <= o25
random_ConstantStackPush_159(iconst_1, o25, a6, i7, i12, env, static) -{1,1}> random_IntArithmetic_169(iconst_1, o25, a6, i7, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && 0 <= o25
random_IntArithmetic_169(iconst_1, o25, a6, i7, i12, env, static) -{1,1}> random_FieldAccess_176(iconst_2, o25, a6, i7, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && 0 <= o25 && iconst_2 = 2
random_FieldAccess_176(iconst_2, o25, a6, i7, iconst_1, i12, env, static) -{1,1}> random_Load_186(o25, a6, i7, iconst_2, i12, env, static') :|: 2 <= i12 && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i7 && 0 <= o25 && iconst_2 = 2 && static' <= static + iconst_2
random_Load_186(o25, a6, i7, iconst_2, i12, env, static) -{1,1}> random_InvokeMethod_209(o25, a6, i7, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i7 && 0 <= o25 && iconst_2 = 2
random_InvokeMethod_209(o50, a6, i7, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_216(o50, a6, i7, iconst_2, i12, env, static) :|: 0 < o50 && 2 <= i12 && 0 <= o50 && 0 < a6 && 0 <= i7 && iconst_2 = 2
random_InvokeMethod_209(NULL, a6, i7, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_217(NULL, a6, i7, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i7 && iconst_2 = 2
random_InvokeMethod_216(o50, a6, i7, iconst_2, i12, env, static) -{1,1}> random_Return_234(i21, a6, i7, iconst_2, i12, env, static) :|: 0 <= i21 && 0 < o50 && 2 <= i12 && 0 < a6 && 0 <= i7 && iconst_2 = 2 && i21 <= o50
random_Return_234(i21, a6, i7, iconst_2, i12, env, static) -{1,1}> main_Store_252(a6, i21, i7, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 0 <= i7 && iconst_2 = 2
main_Store_252(a6, i21, i7, iconst_2, i12, env, static) -{1,1}> main_Load_260(a6, i7, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 0 <= i7 && iconst_2 = 2
main_Load_260(a6, i7, i21, iconst_2, i12, env, static) -{1,1}> main_LE_264(a6, i7, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 0 <= i7 && iconst_2 = 2
main_LE_264(a6, iconst_0, i21, iconst_2, i12, env, static) -{0,0}> main_LE_269(a6, iconst_0, i21, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 0 <= i21 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2
main_LE_264(a6, i23, i21, iconst_2, i12, env, static) -{0,0}> main_LE_270(a6, i23, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2 && 0 <= i23
main_LE_270(a6, i23, i21, iconst_2, i12, env, static) -{1,1}> main_Load_274(a6, i23, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 1 <= i23 && 0 < a6 && 0 < i23 && iconst_2 = 2
main_Load_274(a6, i23, i21, iconst_2, i12, env, static) -{1,1}> main_LE_278(a6, i21, i23, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2
main_LE_278(a6, iconst_0, i23, iconst_2, i12, env, static) -{0,0}> main_LE_282(a6, iconst_0, i23, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && 1 <= i23 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2
main_LE_278(a6, i24, i23, iconst_2, i12, env, static) -{0,0}> main_LE_283(a6, i24, i23, iconst_2, i12, env, static) :|: 0 <= i24 && 2 <= i12 && 1 <= i24 && 1 <= i23 && 0 < a6 && iconst_2 = 2
main_LE_283(a6, i24, i23, iconst_2, i12, env, static) -{1,1}> main_Load_288(a6, i23, i24, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < i24 && 0 < a6 && iconst_2 = 2
main_Load_288(a6, i23, i24, iconst_2, i12, env, static) -{1,1}> main_Load_292(a6, i23, i24, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2
main_Load_292(a6, i23, i24, iconst_2, i12, env, static) -{1,1}> main_EQ_296(a6, i23, i24, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2
main_EQ_296(a6, i23, i24, iconst_2, i12, env, static) -{0,0}> main_EQ_299(a6, i24, iconst_2, i12, env, static) :|: i23 = i24 && 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2
main_EQ_296(a6, i23, i24, iconst_2, i12, env, static) -{0,0}> main_EQ_302(a6, i23, i24, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && !(i23 = i24) && iconst_2 = 2
main_EQ_302(a6, i23, i24, iconst_2, i12, env, static) -{1,1}> main_Load_314(a6, i23, i24, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && !(i23 = i24) && iconst_2 = 2
main_Load_314(a6, i23, i24, iconst_2, i12, env, static) -{1,1}> main_Load_321(a6, i23, i24, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2
main_Load_321(a6, i23, i24, iconst_2, i12, env, static) -{1,1}> main_LE_324(a6, i23, i24, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2
main_LE_324(a6, i23, i24, iconst_2, i12, env, static) -{0,0}> main_LE_329(a6, i23, i24, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && i23 <= i24 && iconst_2 = 2
main_LE_324(a6, i23, i24, iconst_2, i12, env, static) -{0,0}> main_LE_330(a6, i23, i24, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && i24 < i23 && 1 <= i23 && 0 < a6 && iconst_2 = 2
main_LE_329(a6, i23, i24, iconst_2, i12, env, static) -{1,1}> main_Load_336(a6, i23, i24, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && i23 < i24 && 2 <= i24 && 1 <= i23 && 0 < a6 && iconst_2 = 2
main_LE_330(a6, i23, i24, iconst_2, i12, env, static) -{1,1}> main_Load_338(a6, i23, i24, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && i24 < i23 && 2 <= i23 && 1 <= i23 && 0 < a6 && iconst_2 = 2
main_Load_336(a6, i23, i24, iconst_2, i12, env, static) -{1,1}> main_Load_349(a6, i24, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 2 <= i24 && 1 <= i23 && 0 < a6 && iconst_2 = 2
main_Load_338(a6, i23, i24, iconst_2, i12, env, static) -{1,1}> main_Load_351(a6, i23, i24, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 2 <= i23 && 0 < a6 && iconst_2 = 2
main_Load_349(a6, i24, i23, iconst_2, i12, env, static) -{1,1}> main_IntArithmetic_355(a6, i24, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 2 <= i24 && 1 <= i23 && 0 < a6 && iconst_2 = 2
main_Load_351(a6, i23, i24, iconst_2, i12, env, static) -{1,1}> main_IntArithmetic_356(a6, i23, i24, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 2 <= i23 && 0 < a6 && iconst_2 = 2
main_IntArithmetic_355(a6, i24, i23, iconst_2, i12, env, static) -{1,1}> main_Store_361(a6, i27, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 2 <= i24 && 1 <= i23 && 0 < a6 && 1 <= i27 && i24 - i23 = i27 && iconst_2 = 2
main_IntArithmetic_356(a6, i23, i24, iconst_2, i12, env, static) -{1,1}> main_Store_369(a6, i28, i24, iconst_2, i12, env, static) :|: i23 - i24 = i28 && 1 <= i24 && 2 <= i12 && 2 <= i23 && 0 < a6 && 1 <= i28 && iconst_2 = 2
main_Store_361(a6, i27, i23, iconst_2, i12, env, static) -{1,1}> main_JMP_378(a6, i23, i27, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i23 && 0 < a6 && 1 <= i27 && iconst_2 = 2
main_Store_369(a6, i28, i24, iconst_2, i12, env, static) -{1,1}> main_JMP_380(a6, i28, i24, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 0 < a6 && 1 <= i28 && iconst_2 = 2
main_JMP_378(a6, i23, i27, iconst_2, i12, env, static) -{1,1}> main_Load_383(a6, i23, i27, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i23 && 0 < a6 && 1 <= i27 && iconst_2 = 2
main_JMP_380(a6, i28, i24, iconst_2, i12, env, static) -{1,1}> main_Load_385(a6, i28, i24, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 0 < a6 && 1 <= i28 && iconst_2 = 2
main_Load_383(a6, i23, i27, iconst_2, i12, env, static) -{0,0}> main_Load_288(a6, i23, i27, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i23 && 0 < a6 && 1 <= i27 && iconst_2 = 2
main_Load_385(a6, i28, i24, iconst_2, i12, env, static) -{0,0}> main_Load_288(a6, i28, i24, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 0 < a6 && 1 <= i28 && iconst_2 = 2

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

obtained
main_Load_2(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_2(o1, env, static) -{0,0}> main_Load_3(o1, env, static) :|: 0 < o1
main_Load_3(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_15(a2, o1, iconst_0, env, static) :|: a2 = 2 && iconst_0 = 0 && 0 < a2 && 0 < o1
langle_clinit_rangle_FieldAccess_15(a2, o1, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_17(o1, env, static') :|: 0 <= a2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2 && 0 < o1
langle_clinit_rangle_New_17(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_29(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Load_29(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_31(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_31(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_43(o1, env, static) :|: 0 <= static && 0 < o1
main_Load_43(o1, env, static) -{0,0}> main_Load_45(o1, env, static) :|: 0 < o1
main_Load_45(o1, env, static) -{0,0}> main_Load_46(o1, env, static) :|: 0 < o1
main_Load_46(o1, env, static) -{1,1}> main_FieldAccess_47(o1, env, static) :|: 0 < o1
main_FieldAccess_47(o1, env, static) -{0,0}> main_FieldAccess_48(o1, env, static) :|: 0 < o1
main_FieldAccess_48(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_50(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ConstantStackPush_50(o1, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_53(iconst_0, o1, NULL, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_FieldAccess_53(iconst_0, o1, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_55(o1, NULL, iconst_0, env, static') :|: NULL = 0 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0 && 0 < o1
langle_clinit_rangle_Return_55(o1, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_57(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
main_FieldAccess_57(o1, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_59(o1, iconst_0, env, static') :|: static' <= static + o1 && NULL = 0 && 0 <= o1 && iconst_0 = 0 && 0 <= static && 0 < o1
main_InvokeMethod_59(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_62(o1, iconst_0, env, static) :|: iconst_0 = 0 && 0 < o1
random_FieldAccess_62(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_65(o1, iconst_0, env, static) :|: 0 <= o1 && o1 <= static && iconst_0 = 0 && 0 <= static && 0 < o1
random_FieldAccess_65(o1, iconst_0, env, static) -{1,1}> random_ArrayAccess_68(o1, iconst_0, env, static) :|: -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static && 0 < o1
random_ArrayAccess_68(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_95(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1
by chaining
random_ArrayAccess_70(a6, iconst_0, i6, env, static) -{0,0}> random_ArrayAccess_75(a6, iconst_0, i6, env, static) :|: 0 <= i6 && 1 <= i6 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_75(a6, iconst_0, i6, env, static) -{1,1}> random_Store_78(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && o8 < a6 && iconst_0 = 0 && 0 < a6
random_Store_78(o8, a6, iconst_0, i6, env, static) -{1,1}> random_FieldAccess_80(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_0 = 0 && 0 < a6
random_FieldAccess_80(o8, a6, iconst_0, i6, env, static) -{1,1}> random_ConstantStackPush_85(iconst_0, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && 0 < a6 && iconst_0 <= static
random_ConstantStackPush_85(iconst_0, o8, a6, i6, env, static) -{1,1}> random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i6, env, static) -{1,1}> random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i6, env, static) -{1,1}> random_Load_93(o8, a6, iconst_1, i6, env, static') :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 <= static && 0 < a6 && static' <= static + iconst_1
random_Load_93(o8, a6, iconst_1, i6, env, static) -{1,1}> random_InvokeMethod_95(o8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && 0 < a6

obtained
random_InvokeMethod_95(o11, a6, 1, i6, env, static) -{6,6}> random_ArrayAccess_134(a6, 1, i7', i6, env, static) :|: 0 <= a6 && 0 <= i7' && i7' <= o11 && 0 < a6 && a6 <= static && 0 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 <= o11 && 0 < o11
by chaining
random_InvokeMethod_95(o11, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_97(o11, a6, iconst_1, i6, env, static) :|: 0 <= o11 && 1 <= i6 && iconst_1 = 1 && 0 < o11 && 0 < a6
random_InvokeMethod_97(o11, a6, iconst_1, i6, env, static) -{1,1}> random_Return_103(i7, a6, iconst_1, i6, env, static) :|: 1 <= i6 && i7 <= o11 && iconst_1 = 1 && 0 < o11 && 0 < a6 && 0 <= i7
random_Return_103(i7, a6, iconst_1, i6, env, static) -{1,1}> main_Store_109(a6, i7, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i7
main_Store_109(a6, i7, iconst_1, i6, env, static) -{1,1}> main_InvokeMethod_114(a6, i7, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i7
main_InvokeMethod_114(a6, i7, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_118(a6, i7, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i7
random_FieldAccess_118(a6, i7, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_131(a6, i7, iconst_1, i6, env, static) :|: 0 <= a6 && 1 <= i6 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i7
random_FieldAccess_131(a6, i7, iconst_1, i6, env, static) -{1,1}> random_ArrayAccess_134(a6, iconst_1, i7, i6, env, static) :|: -1 * static <= iconst_1 && 1 <= i6 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i7

obtained
random_ArrayAccess_134(a6, 1, i7, i12, env, static) -{7,7}> random_InvokeMethod_209(o25', a6, i7, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i7 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2
by chaining
random_ArrayAccess_134(a6, iconst_1, i7, i12, env, static) -{0,0}> random_ArrayAccess_144(a6, iconst_1, i7, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && 1 <= i12
random_ArrayAccess_144(a6, iconst_1, i7, i12, env, static) -{1,1}> random_Store_151(o25, a6, i7, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && o25 < a6 && 0 < a6 && 0 <= i7 && 0 <= o25
random_Store_151(o25, a6, i7, iconst_1, i12, env, static) -{1,1}> random_FieldAccess_153(o25, a6, i7, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && 0 <= o25
random_FieldAccess_153(o25, a6, i7, iconst_1, i12, env, static) -{1,1}> random_ConstantStackPush_159(iconst_1, o25, a6, i7, i12, env, static) :|: -1 * static <= iconst_1 && 2 <= i12 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i7 && 0 <= o25
random_ConstantStackPush_159(iconst_1, o25, a6, i7, i12, env, static) -{1,1}> random_IntArithmetic_169(iconst_1, o25, a6, i7, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && 0 <= o25
random_IntArithmetic_169(iconst_1, o25, a6, i7, i12, env, static) -{1,1}> random_FieldAccess_176(iconst_2, o25, a6, i7, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && 0 <= o25 && iconst_2 = 2
random_FieldAccess_176(iconst_2, o25, a6, i7, iconst_1, i12, env, static) -{1,1}> random_Load_186(o25, a6, i7, iconst_2, i12, env, static') :|: 2 <= i12 && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i7 && 0 <= o25 && iconst_2 = 2 && static' <= static + iconst_2
random_Load_186(o25, a6, i7, iconst_2, i12, env, static) -{1,1}> random_InvokeMethod_209(o25, a6, i7, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i7 && 0 <= o25 && iconst_2 = 2

obtained
random_InvokeMethod_209(o50, a6, i7, 2, i12, env, static) -{4,4}> main_LE_264(a6, i7, i21', 2, i12, env, static) :|: 2 <= i12 && 0 <= i21' && 0 <= i7 && 0 < o50 && 0 < a6 && i21' <= o50 && 0 <= o50
by chaining
random_InvokeMethod_209(o50, a6, i7, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_216(o50, a6, i7, iconst_2, i12, env, static) :|: 0 < o50 && 2 <= i12 && 0 <= o50 && 0 < a6 && 0 <= i7 && iconst_2 = 2
random_InvokeMethod_216(o50, a6, i7, iconst_2, i12, env, static) -{1,1}> random_Return_234(i21, a6, i7, iconst_2, i12, env, static) :|: 0 <= i21 && 0 < o50 && 2 <= i12 && 0 < a6 && 0 <= i7 && iconst_2 = 2 && i21 <= o50
random_Return_234(i21, a6, i7, iconst_2, i12, env, static) -{1,1}> main_Store_252(a6, i21, i7, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 0 <= i7 && iconst_2 = 2
main_Store_252(a6, i21, i7, iconst_2, i12, env, static) -{1,1}> main_Load_260(a6, i7, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 0 <= i7 && iconst_2 = 2
main_Load_260(a6, i7, i21, iconst_2, i12, env, static) -{1,1}> main_LE_264(a6, i7, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 0 <= i7 && iconst_2 = 2

obtained
main_LE_264(a6, i23, i21, 2, i12, env, static) -{2,2}> main_LE_278(a6, i21, i23, 2, i12, env, static) :|: 2 <= i12 && 0 <= i21 && 0 < a6 && 1 <= i23 && 0 <= i23 && 0 < i23
by chaining
main_LE_264(a6, i23, i21, iconst_2, i12, env, static) -{0,0}> main_LE_270(a6, i23, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2 && 0 <= i23
main_LE_270(a6, i23, i21, iconst_2, i12, env, static) -{1,1}> main_Load_274(a6, i23, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 1 <= i23 && 0 < a6 && 0 < i23 && iconst_2 = 2
main_Load_274(a6, i23, i21, iconst_2, i12, env, static) -{1,1}> main_LE_278(a6, i21, i23, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2

obtained
main_LE_278(a6, i24, i23, 2, i12, env, static) -{1,1}> main_Load_288(a6, i23, i24, 2, i12, env, static) :|: 0 < a6 && 1 <= i23 && 0 < i24 && 1 <= i24 && 0 <= i24 && 2 <= i12
by chaining
main_LE_278(a6, i24, i23, iconst_2, i12, env, static) -{0,0}> main_LE_283(a6, i24, i23, iconst_2, i12, env, static) :|: 0 <= i24 && 2 <= i12 && 1 <= i24 && 1 <= i23 && 0 < a6 && iconst_2 = 2
main_LE_283(a6, i24, i23, iconst_2, i12, env, static) -{1,1}> main_Load_288(a6, i23, i24, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < i24 && 0 < a6 && iconst_2 = 2

obtained
main_Load_288(a6, i23, i24, 2, i12, env, static) -{2,2}> main_EQ_296(a6, i23, i24, 2, i12, env, static) :|: 0 < a6 && 1 <= i23 && 1 <= i24 && 2 <= i12
by chaining
main_Load_288(a6, i23, i24, iconst_2, i12, env, static) -{1,1}> main_Load_292(a6, i23, i24, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2
main_Load_292(a6, i23, i24, iconst_2, i12, env, static) -{1,1}> main_EQ_296(a6, i23, i24, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2

obtained
main_EQ_296(a6, i23, i24, 2, i12, env, static) -{3,3}> main_LE_324(a6, i23, i24, 2, i12, env, static) :|: !(i23 = i24) && 1 <= i23 && 0 < a6 && 2 <= i12 && 1 <= i24
by chaining
main_EQ_296(a6, i23, i24, iconst_2, i12, env, static) -{0,0}> main_EQ_302(a6, i23, i24, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && !(i23 = i24) && iconst_2 = 2
main_EQ_302(a6, i23, i24, iconst_2, i12, env, static) -{1,1}> main_Load_314(a6, i23, i24, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && !(i23 = i24) && iconst_2 = 2
main_Load_314(a6, i23, i24, iconst_2, i12, env, static) -{1,1}> main_Load_321(a6, i23, i24, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2
main_Load_321(a6, i23, i24, iconst_2, i12, env, static) -{1,1}> main_LE_324(a6, i23, i24, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2

obtained
main_LE_324(a6, i23, i24, 2, i12, env, static) -{6,6}> main_Load_288(a6, i28', i24, 2, i12, env, static) :|: i24 < i23 && i23 - i24 = i28' && 1 <= i28' && 1 <= i23 && 0 < a6 && 1 <= i24 && 2 <= i12 && 2 <= i23
by chaining
main_LE_324(a6, i23, i24, iconst_2, i12, env, static) -{0,0}> main_LE_330(a6, i23, i24, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && i24 < i23 && 1 <= i23 && 0 < a6 && iconst_2 = 2
main_LE_330(a6, i23, i24, iconst_2, i12, env, static) -{1,1}> main_Load_338(a6, i23, i24, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && i24 < i23 && 2 <= i23 && 1 <= i23 && 0 < a6 && iconst_2 = 2
main_Load_338(a6, i23, i24, iconst_2, i12, env, static) -{1,1}> main_Load_351(a6, i23, i24, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 2 <= i23 && 0 < a6 && iconst_2 = 2
main_Load_351(a6, i23, i24, iconst_2, i12, env, static) -{1,1}> main_IntArithmetic_356(a6, i23, i24, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 2 <= i23 && 0 < a6 && iconst_2 = 2
main_IntArithmetic_356(a6, i23, i24, iconst_2, i12, env, static) -{1,1}> main_Store_369(a6, i28, i24, iconst_2, i12, env, static) :|: i23 - i24 = i28 && 1 <= i24 && 2 <= i12 && 2 <= i23 && 0 < a6 && 1 <= i28 && iconst_2 = 2
main_Store_369(a6, i28, i24, iconst_2, i12, env, static) -{1,1}> main_JMP_380(a6, i28, i24, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 0 < a6 && 1 <= i28 && iconst_2 = 2
main_JMP_380(a6, i28, i24, iconst_2, i12, env, static) -{1,1}> main_Load_385(a6, i28, i24, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 0 < a6 && 1 <= i28 && iconst_2 = 2
main_Load_385(a6, i28, i24, iconst_2, i12, env, static) -{0,0}> main_Load_288(a6, i28, i24, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 0 < a6 && 1 <= i28 && iconst_2 = 2

obtained
main_LE_324(a6, i23, i24, 2, i12, env, static) -{6,6}> main_Load_288(a6, i23, i27', 2, i12, env, static) :|: i23 <= i24 && 2 <= i24 && 1 <= i27' && 1 <= i23 && 0 < a6 && 2 <= i12 && 1 <= i24 && i23 < i24 && i24 - i23 = i27'
by chaining
main_LE_324(a6, i23, i24, iconst_2, i12, env, static) -{0,0}> main_LE_329(a6, i23, i24, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && i23 <= i24 && iconst_2 = 2
main_LE_329(a6, i23, i24, iconst_2, i12, env, static) -{1,1}> main_Load_336(a6, i23, i24, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && i23 < i24 && 2 <= i24 && 1 <= i23 && 0 < a6 && iconst_2 = 2
main_Load_336(a6, i23, i24, iconst_2, i12, env, static) -{1,1}> main_Load_349(a6, i24, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 2 <= i24 && 1 <= i23 && 0 < a6 && iconst_2 = 2
main_Load_349(a6, i24, i23, iconst_2, i12, env, static) -{1,1}> main_IntArithmetic_355(a6, i24, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 2 <= i24 && 1 <= i23 && 0 < a6 && iconst_2 = 2
main_IntArithmetic_355(a6, i24, i23, iconst_2, i12, env, static) -{1,1}> main_Store_361(a6, i27, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 2 <= i24 && 1 <= i23 && 0 < a6 && 1 <= i27 && i24 - i23 = i27 && iconst_2 = 2
main_Store_361(a6, i27, i23, iconst_2, i12, env, static) -{1,1}> main_JMP_378(a6, i23, i27, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i23 && 0 < a6 && 1 <= i27 && iconst_2 = 2
main_JMP_378(a6, i23, i27, iconst_2, i12, env, static) -{1,1}> main_Load_383(a6, i23, i27, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i23 && 0 < a6 && 1 <= i27 && iconst_2 = 2
main_Load_383(a6, i23, i27, iconst_2, i12, env, static) -{0,0}> main_Load_288(a6, i23, i27, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i23 && 0 < a6 && 1 <= i27 && iconst_2 = 2

(24) Obligation:

IntTrs with 18 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_2(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_74(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_95(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1
random_InvokeMethod_95(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_98(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
random_InvokeMethod_95(o11, a6, 1, i6, env, static) -{6,6}> random_ArrayAccess_134(a6, 1, i7', i6, env, static) :|: 0 <= a6 && 0 <= i7' && i7' <= o11 && 0 < a6 && a6 <= static && 0 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 <= o11 && 0 < o11
random_ArrayAccess_134(a6, iconst_1, i7, iconst_1, env, static) -{0,0}> random_ArrayAccess_143(a6, iconst_1, i7, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i7
random_ArrayAccess_134(a6, 1, i7, i12, env, static) -{7,7}> random_InvokeMethod_209(o25', a6, i7, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i7 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2
random_InvokeMethod_209(NULL, a6, i7, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_217(NULL, a6, i7, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i7 && iconst_2 = 2
random_InvokeMethod_209(o50, a6, i7, 2, i12, env, static) -{4,4}> main_LE_264(a6, i7, i21', 2, i12, env, static) :|: 2 <= i12 && 0 <= i21' && 0 <= i7 && 0 < o50 && 0 < a6 && i21' <= o50 && 0 <= o50
main_LE_264(a6, iconst_0, i21, iconst_2, i12, env, static) -{0,0}> main_LE_269(a6, iconst_0, i21, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 0 <= i21 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2
main_LE_264(a6, i23, i21, 2, i12, env, static) -{2,2}> main_LE_278(a6, i21, i23, 2, i12, env, static) :|: 2 <= i12 && 0 <= i21 && 0 < a6 && 1 <= i23 && 0 <= i23 && 0 < i23
main_LE_278(a6, iconst_0, i23, iconst_2, i12, env, static) -{0,0}> main_LE_282(a6, iconst_0, i23, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && 1 <= i23 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2
main_LE_278(a6, i24, i23, 2, i12, env, static) -{1,1}> main_Load_288(a6, i23, i24, 2, i12, env, static) :|: 0 < a6 && 1 <= i23 && 0 < i24 && 1 <= i24 && 0 <= i24 && 2 <= i12
main_Load_288(a6, i23, i24, 2, i12, env, static) -{2,2}> main_EQ_296(a6, i23, i24, 2, i12, env, static) :|: 0 < a6 && 1 <= i23 && 1 <= i24 && 2 <= i12
main_EQ_296(a6, i23, i24, iconst_2, i12, env, static) -{0,0}> main_EQ_299(a6, i24, iconst_2, i12, env, static) :|: i23 = i24 && 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2
main_EQ_296(a6, i23, i24, 2, i12, env, static) -{3,3}> main_LE_324(a6, i23, i24, 2, i12, env, static) :|: !(i23 = i24) && 1 <= i23 && 0 < a6 && 2 <= i12 && 1 <= i24
main_LE_324(a6, i23, i24, 2, i12, env, static) -{6,6}> main_Load_288(a6, i28', i24, 2, i12, env, static) :|: i24 < i23 && i23 - i24 = i28' && 1 <= i28' && 1 <= i23 && 0 < a6 && 1 <= i24 && 2 <= i12 && 2 <= i23
main_LE_324(a6, i23, i24, 2, i12, env, static) -{6,6}> main_Load_288(a6, i23, i27', 2, i12, env, static) :|: i23 <= i24 && 2 <= i24 && 1 <= i27' && 1 <= i23 && 0 < a6 && 2 <= i12 && 1 <= i24 && i23 < i24 && i24 - i23 = i27'

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

Moved arithmethic from lhss to constraints.

main_LE_324(a6, i23, i24, 2, i12, env, static) -{6,6}> main_Load_288(a6, i23, i27', 2, i12, env, static) :|: i23 <= i24 && 2 <= i24 && 1 <= i27' && 1 <= i23 && 0 < a6 && 2 <= i12 && 1 <= i24 && i23 < i24 && i24 - i23 = i27'
was transformed to
main_LE_324(a6, i23, i24, x, i12, env, static) -{6,6}> main_Load_288(a6, i23, i27', 2, i12, env, static) :|: i23 <= i24 && 2 <= i24 && 1 <= i27' && 1 <= i23 && 0 < a6 && 2 <= i12 && 1 <= i24 && i23 < i24 && i24 - i23 = i27' && x = 2

main_EQ_296(a6, i23, i24, 2, i12, env, static) -{3,3}> main_LE_324(a6, i23, i24, 2, i12, env, static) :|: !(i23 = i24) && 1 <= i23 && 0 < a6 && 2 <= i12 && 1 <= i24
was transformed to
main_EQ_296(a6, i23, i24, x, i12, env, static) -{3,3}> main_LE_324(a6, i23, i24, 2, i12, env, static) :|: !(i23 = i24) && 1 <= i23 && 0 < a6 && 2 <= i12 && 1 <= i24 && x = 2

random_ArrayAccess_134(a6, 1, i7, i12, env, static) -{7,7}> random_InvokeMethod_209(o25', a6, i7, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i7 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2
was transformed to
random_ArrayAccess_134(a6, x, i7, i12, env, static) -{7,7}> random_InvokeMethod_209(o25', a6, i7, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i7 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1

random_InvokeMethod_209(o50, a6, i7, 2, i12, env, static) -{4,4}> main_LE_264(a6, i7, i21', 2, i12, env, static) :|: 2 <= i12 && 0 <= i21' && 0 <= i7 && 0 < o50 && 0 < a6 && i21' <= o50 && 0 <= o50
was transformed to
random_InvokeMethod_209(o50, a6, i7, x, i12, env, static) -{4,4}> main_LE_264(a6, i7, i21', 2, i12, env, static) :|: 2 <= i12 && 0 <= i21' && 0 <= i7 && 0 < o50 && 0 < a6 && i21' <= o50 && 0 <= o50 && x = 2

random_ArrayAccess_70(a6, 0, i6, env, static) -{7,7}> random_InvokeMethod_95(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1
was transformed to
random_ArrayAccess_70(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_95(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0

random_InvokeMethod_95(o11, a6, 1, i6, env, static) -{6,6}> random_ArrayAccess_134(a6, 1, i7', i6, env, static) :|: 0 <= a6 && 0 <= i7' && i7' <= o11 && 0 < a6 && a6 <= static && 0 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 <= o11 && 0 < o11
was transformed to
random_InvokeMethod_95(o11, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_134(a6, 1, i7', i6, env, static) :|: 0 <= a6 && 0 <= i7' && i7' <= o11 && 0 < a6 && a6 <= static && 0 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 <= o11 && 0 < o11 && x = 1

main_Load_288(a6, i23, i24, 2, i12, env, static) -{2,2}> main_EQ_296(a6, i23, i24, 2, i12, env, static) :|: 0 < a6 && 1 <= i23 && 1 <= i24 && 2 <= i12
was transformed to
main_Load_288(a6, i23, i24, x, i12, env, static) -{2,2}> main_EQ_296(a6, i23, i24, 2, i12, env, static) :|: 0 < a6 && 1 <= i23 && 1 <= i24 && 2 <= i12 && x = 2

main_LE_324(a6, i23, i24, 2, i12, env, static) -{6,6}> main_Load_288(a6, i28', i24, 2, i12, env, static) :|: i24 < i23 && i23 - i24 = i28' && 1 <= i28' && 1 <= i23 && 0 < a6 && 1 <= i24 && 2 <= i12 && 2 <= i23
was transformed to
main_LE_324(a6, i23, i24, x, i12, env, static) -{6,6}> main_Load_288(a6, i28', i24, 2, i12, env, static) :|: i24 < i23 && i23 - i24 = i28' && 1 <= i28' && 1 <= i23 && 0 < a6 && 1 <= i24 && 2 <= i12 && 2 <= i23 && x = 2

main_LE_264(a6, i23, i21, 2, i12, env, static) -{2,2}> main_LE_278(a6, i21, i23, 2, i12, env, static) :|: 2 <= i12 && 0 <= i21 && 0 < a6 && 1 <= i23 && 0 <= i23 && 0 < i23
was transformed to
main_LE_264(a6, i23, i21, x, i12, env, static) -{2,2}> main_LE_278(a6, i21, i23, 2, i12, env, static) :|: 2 <= i12 && 0 <= i21 && 0 < a6 && 1 <= i23 && 0 <= i23 && 0 < i23 && x = 2

main_LE_278(a6, i24, i23, 2, i12, env, static) -{1,1}> main_Load_288(a6, i23, i24, 2, i12, env, static) :|: 0 < a6 && 1 <= i23 && 0 < i24 && 1 <= i24 && 0 <= i24 && 2 <= i12
was transformed to
main_LE_278(a6, i24, i23, x, i12, env, static) -{1,1}> main_Load_288(a6, i23, i24, 2, i12, env, static) :|: 0 < a6 && 1 <= i23 && 0 < i24 && 1 <= i24 && 0 <= i24 && 2 <= i12 && x = 2

(26) Obligation:

IntTrs with 18 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_2(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_324(a6, i23, i24, x, i12, env, static) -{6,6}> main_Load_288(a6, i23, i27', 2, i12, env, static) :|: i23 <= i24 && 2 <= i24 && 1 <= i27' && 1 <= i23 && 0 < a6 && 2 <= i12 && 1 <= i24 && i23 < i24 && i24 - i23 = i27' && x = 2
main_EQ_296(a6, i23, i24, x, i12, env, static) -{3,3}> main_LE_324(a6, i23, i24, 2, i12, env, static) :|: !(i23 = i24) && 1 <= i23 && 0 < a6 && 2 <= i12 && 1 <= i24 && x = 2
random_ArrayAccess_134(a6, x, i7, i12, env, static) -{7,7}> random_InvokeMethod_209(o25', a6, i7, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i7 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
main_LE_278(a6, iconst_0, i23, iconst_2, i12, env, static) -{0,0}> main_LE_282(a6, iconst_0, i23, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && 1 <= i23 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2
random_ArrayAccess_134(a6, iconst_1, i7, iconst_1, env, static) -{0,0}> random_ArrayAccess_143(a6, iconst_1, i7, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i7
random_InvokeMethod_209(o50, a6, i7, x, i12, env, static) -{4,4}> main_LE_264(a6, i7, i21', 2, i12, env, static) :|: 2 <= i12 && 0 <= i21' && 0 <= i7 && 0 < o50 && 0 < a6 && i21' <= o50 && 0 <= o50 && x = 2
random_ArrayAccess_70(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_95(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
random_InvokeMethod_95(o11, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_134(a6, 1, i7', i6, env, static) :|: 0 <= a6 && 0 <= i7' && i7' <= o11 && 0 < a6 && a6 <= static && 0 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 <= o11 && 0 < o11 && x = 1
main_Load_288(a6, i23, i24, x, i12, env, static) -{2,2}> main_EQ_296(a6, i23, i24, 2, i12, env, static) :|: 0 < a6 && 1 <= i23 && 1 <= i24 && 2 <= i12 && x = 2
random_ArrayAccess_70(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_74(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6
main_LE_324(a6, i23, i24, x, i12, env, static) -{6,6}> main_Load_288(a6, i28', i24, 2, i12, env, static) :|: i24 < i23 && i23 - i24 = i28' && 1 <= i28' && 1 <= i23 && 0 < a6 && 1 <= i24 && 2 <= i12 && 2 <= i23 && x = 2
main_LE_264(a6, i23, i21, x, i12, env, static) -{2,2}> main_LE_278(a6, i21, i23, 2, i12, env, static) :|: 2 <= i12 && 0 <= i21 && 0 < a6 && 1 <= i23 && 0 <= i23 && 0 < i23 && x = 2
main_LE_264(a6, iconst_0, i21, iconst_2, i12, env, static) -{0,0}> main_LE_269(a6, iconst_0, i21, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 0 <= i21 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2
random_InvokeMethod_95(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_98(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
main_EQ_296(a6, i23, i24, iconst_2, i12, env, static) -{0,0}> main_EQ_299(a6, i24, iconst_2, i12, env, static) :|: i23 = i24 && 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2
main_LE_278(a6, i24, i23, x, i12, env, static) -{1,1}> main_Load_288(a6, i23, i24, 2, i12, env, static) :|: 0 < a6 && 1 <= i23 && 0 < i24 && 1 <= i24 && 0 <= i24 && 2 <= i12 && x = 2
random_InvokeMethod_209(NULL, a6, i7, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_217(NULL, a6, i7, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i7 && iconst_2 = 2

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

Linearized lhss.

random_ArrayAccess_134(a6, iconst_1, i7, iconst_1, env, static) -{0,0}> random_ArrayAccess_143(a6, iconst_1, i7, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i7
was transformed to
random_ArrayAccess_134(a6, iconst_1, i7, x, env, static) -{0,0}> random_ArrayAccess_143(a6, iconst_1, i7, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && x = iconst_1

random_ArrayAccess_70(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_74(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_74(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0

(28) Obligation:

IntTrs with 18 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_2(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_288(a6, i23, i24, x, i12, env, static) -{2,2}> main_EQ_296(a6, i23, i24, 2, i12, env, static) :|: 0 < a6 && 1 <= i23 && 1 <= i24 && 2 <= i12 && x = 2
random_InvokeMethod_95(o11, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_134(a6, 1, i7', i6, env, static) :|: 0 <= a6 && 0 <= i7' && i7' <= o11 && 0 < a6 && a6 <= static && 0 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 <= o11 && 0 < o11 && x = 1
main_LE_324(a6, i23, i24, x, i12, env, static) -{6,6}> main_Load_288(a6, i23, i27', 2, i12, env, static) :|: i23 <= i24 && 2 <= i24 && 1 <= i27' && 1 <= i23 && 0 < a6 && 2 <= i12 && 1 <= i24 && i23 < i24 && i24 - i23 = i27' && x = 2
random_ArrayAccess_134(a6, iconst_1, i7, x, env, static) -{0,0}> random_ArrayAccess_143(a6, iconst_1, i7, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && x = iconst_1
main_LE_278(a6, iconst_0, i23, iconst_2, i12, env, static) -{0,0}> main_LE_282(a6, iconst_0, i23, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && 1 <= i23 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2
random_ArrayAccess_70(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_95(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
main_LE_278(a6, i24, i23, x, i12, env, static) -{1,1}> main_Load_288(a6, i23, i24, 2, i12, env, static) :|: 0 < a6 && 1 <= i23 && 0 < i24 && 1 <= i24 && 0 <= i24 && 2 <= i12 && x = 2
main_LE_264(a6, i23, i21, x, i12, env, static) -{2,2}> main_LE_278(a6, i21, i23, 2, i12, env, static) :|: 2 <= i12 && 0 <= i21 && 0 < a6 && 1 <= i23 && 0 <= i23 && 0 < i23 && x = 2
main_EQ_296(a6, i23, i24, x, i12, env, static) -{3,3}> main_LE_324(a6, i23, i24, 2, i12, env, static) :|: !(i23 = i24) && 1 <= i23 && 0 < a6 && 2 <= i12 && 1 <= i24 && x = 2
main_LE_324(a6, i23, i24, x, i12, env, static) -{6,6}> main_Load_288(a6, i28', i24, 2, i12, env, static) :|: i24 < i23 && i23 - i24 = i28' && 1 <= i28' && 1 <= i23 && 0 < a6 && 1 <= i24 && 2 <= i12 && 2 <= i23 && x = 2
random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_74(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
random_ArrayAccess_134(a6, x, i7, i12, env, static) -{7,7}> random_InvokeMethod_209(o25', a6, i7, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i7 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
main_LE_264(a6, iconst_0, i21, iconst_2, i12, env, static) -{0,0}> main_LE_269(a6, iconst_0, i21, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 0 <= i21 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2
random_InvokeMethod_209(o50, a6, i7, x, i12, env, static) -{4,4}> main_LE_264(a6, i7, i21', 2, i12, env, static) :|: 2 <= i12 && 0 <= i21' && 0 <= i7 && 0 < o50 && 0 < a6 && i21' <= o50 && 0 <= o50 && x = 2
random_InvokeMethod_95(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_98(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
main_EQ_296(a6, i23, i24, iconst_2, i12, env, static) -{0,0}> main_EQ_299(a6, i24, iconst_2, i12, env, static) :|: i23 = i24 && 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2
random_InvokeMethod_209(NULL, a6, i7, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_217(NULL, a6, i7, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i7 && iconst_2 = 2

(29) RemoveDivModProof (CONCRETE UPPER BOUND(ID) transformation)

Removed div and mod.

main_EQ_296(a6, i23, i24, x, i12, env, static) -{3,3}> main_LE_324(a6, i23, i24, 2, i12, env, static) :|: !(i23 = i24) && 1 <= i23 && 0 < a6 && 2 <= i12 && 1 <= i24 && x = 2
was transformed to
main_EQ_296(a6, i23, i24, x, i12, env, static) -{3,3}> main_LE_324(a6, i23, i24, 2, i12, env, static) :|: i23 < i24 && 1 <= i23 && 0 < a6 && 2 <= i12 && 1 <= i24 && x = 2
main_EQ_296(a6, i23, i24, x, i12, env, static) -{3,3}> main_LE_324(a6, i23, i24, 2, i12, env, static) :|: i23 > i24 && 1 <= i23 && 0 < a6 && 2 <= i12 && 1 <= i24 && x = 2

(30) Obligation:

IntTrs with 19 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_2(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_EQ_296(a6, i23, i24, x, i12, env, static) -{3,3}> main_LE_324(a6, i23, i24, 2, i12, env, static) :|: i23 < i24 && 1 <= i23 && 0 < a6 && 2 <= i12 && 1 <= i24 && x = 2
main_Load_288(a6, i23, i24, x, i12, env, static) -{2,2}> main_EQ_296(a6, i23, i24, 2, i12, env, static) :|: 0 < a6 && 1 <= i23 && 1 <= i24 && 2 <= i12 && x = 2
main_LE_324(a6, i23, i24, x, i12, env, static) -{6,6}> main_Load_288(a6, i23, i27', 2, i12, env, static) :|: i23 <= i24 && 2 <= i24 && 1 <= i27' && 1 <= i23 && 0 < a6 && 2 <= i12 && 1 <= i24 && i23 < i24 && i24 - i23 = i27' && x = 2
random_InvokeMethod_95(o11, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_134(a6, 1, i7', i6, env, static) :|: 0 <= a6 && 0 <= i7' && i7' <= o11 && 0 < a6 && a6 <= static && 0 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 <= o11 && 0 < o11 && x = 1
main_LE_278(a6, iconst_0, i23, iconst_2, i12, env, static) -{0,0}> main_LE_282(a6, iconst_0, i23, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && 1 <= i23 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2
random_ArrayAccess_70(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_95(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
main_LE_278(a6, i24, i23, x, i12, env, static) -{1,1}> main_Load_288(a6, i23, i24, 2, i12, env, static) :|: 0 < a6 && 1 <= i23 && 0 < i24 && 1 <= i24 && 0 <= i24 && 2 <= i12 && x = 2
main_EQ_296(a6, i23, i24, x, i12, env, static) -{3,3}> main_LE_324(a6, i23, i24, 2, i12, env, static) :|: i23 > i24 && 1 <= i23 && 0 < a6 && 2 <= i12 && 1 <= i24 && x = 2
main_LE_264(a6, i23, i21, x, i12, env, static) -{2,2}> main_LE_278(a6, i21, i23, 2, i12, env, static) :|: 2 <= i12 && 0 <= i21 && 0 < a6 && 1 <= i23 && 0 <= i23 && 0 < i23 && x = 2
random_ArrayAccess_134(a6, iconst_1, i7, x, env, static) -{0,0}> random_ArrayAccess_143(a6, iconst_1, i7, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && x = iconst_1
random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_74(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
main_LE_324(a6, i23, i24, x, i12, env, static) -{6,6}> main_Load_288(a6, i28', i24, 2, i12, env, static) :|: i24 < i23 && i23 - i24 = i28' && 1 <= i28' && 1 <= i23 && 0 < a6 && 1 <= i24 && 2 <= i12 && 2 <= i23 && x = 2
random_ArrayAccess_134(a6, x, i7, i12, env, static) -{7,7}> random_InvokeMethod_209(o25', a6, i7, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i7 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
random_InvokeMethod_209(o50, a6, i7, x, i12, env, static) -{4,4}> main_LE_264(a6, i7, i21', 2, i12, env, static) :|: 2 <= i12 && 0 <= i21' && 0 <= i7 && 0 < o50 && 0 < a6 && i21' <= o50 && 0 <= o50 && x = 2
main_LE_264(a6, iconst_0, i21, iconst_2, i12, env, static) -{0,0}> main_LE_269(a6, iconst_0, i21, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 0 <= i21 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2
random_InvokeMethod_95(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_98(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
main_EQ_296(a6, i23, i24, iconst_2, i12, env, static) -{0,0}> main_EQ_299(a6, i24, iconst_2, i12, env, static) :|: i23 = i24 && 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2
random_InvokeMethod_209(NULL, a6, i7, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_217(NULL, a6, i7, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i7 && iconst_2 = 2

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

Moved arithmethic from constraints to rhss.

main_LE_324(a6, i23, i24, x, i12, env, static) -{6,6}> main_Load_288(a6, i23, i27', 2, i12, env, static) :|: i23 <= i24 && 2 <= i24 && 1 <= i27' && 1 <= i23 && 0 < a6 && 2 <= i12 && 1 <= i24 && i23 < i24 && i24 - i23 = i27' && x = 2
was transformed to
main_LE_324(a6, i23, i24, x, i12, env, static) -{6,6}> main_Load_288(a6, i23, i24 - i23, 2, i12, env, static) :|: i23 <= i24 && 2 <= i24 && 1 <= i27' && 1 <= i23 && 0 < a6 && 2 <= i12 && 1 <= i24 && i23 < i24 && i24 - i23 = i27' && x = 2

main_LE_278(a6, iconst_0, i23, iconst_2, i12, env, static) -{0,0}> main_LE_282(a6, iconst_0, i23, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && 1 <= i23 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2
was transformed to
main_LE_278(a6, iconst_0, i23, iconst_2, i12, env, static) -{0,0}> main_LE_282(a6, 0, i23, 2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && 1 <= i23 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2

random_ArrayAccess_134(a6, iconst_1, i7, x, env, static) -{0,0}> random_ArrayAccess_143(a6, iconst_1, i7, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && x = iconst_1
was transformed to
random_ArrayAccess_134(a6, iconst_1, i7, x, env, static) -{0,0}> random_ArrayAccess_143(a6, 1, i7, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && x = iconst_1

main_LE_324(a6, i23, i24, x, i12, env, static) -{6,6}> main_Load_288(a6, i28', i24, 2, i12, env, static) :|: i24 < i23 && i23 - i24 = i28' && 1 <= i28' && 1 <= i23 && 0 < a6 && 1 <= i24 && 2 <= i12 && 2 <= i23 && x = 2
was transformed to
main_LE_324(a6, i23, i24, x, i12, env, static) -{6,6}> main_Load_288(a6, i23 - i24, i24, 2, i12, env, static) :|: i24 < i23 && i23 - i24 = i28' && 1 <= i28' && 1 <= i23 && 0 < a6 && 1 <= i24 && 2 <= i12 && 2 <= i23 && x = 2

random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_74(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_74(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0

main_LE_264(a6, iconst_0, i21, iconst_2, i12, env, static) -{0,0}> main_LE_269(a6, iconst_0, i21, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 0 <= i21 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2
was transformed to
main_LE_264(a6, iconst_0, i21, iconst_2, i12, env, static) -{0,0}> main_LE_269(a6, 0, i21, 2, i12, env, static) :|: 0 <= iconst_0 && 0 <= i21 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2

random_InvokeMethod_95(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_98(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
was transformed to
random_InvokeMethod_95(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_98(0, a6, 1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6

main_EQ_296(a6, i23, i24, iconst_2, i12, env, static) -{0,0}> main_EQ_299(a6, i24, iconst_2, i12, env, static) :|: i23 = i24 && 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2
was transformed to
main_EQ_296(a6, i23, i24, iconst_2, i12, env, static) -{0,0}> main_EQ_299(a6, i24, 2, i12, env, static) :|: i23 = i24 && 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2

random_InvokeMethod_209(NULL, a6, i7, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_217(NULL, a6, i7, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i7 && iconst_2 = 2
was transformed to
random_InvokeMethod_209(NULL, a6, i7, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_217(0, a6, i7, 2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i7 && iconst_2 = 2

(32) Obligation:

IntTrs with 19 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_EQ_296(a6, i23, i24, x, i12, env, static) -{3,3}> main_LE_324(a6, i23, i24, 2, i12, env, static) :|: i23 < i24 && 1 <= i23 && 0 < a6 && 2 <= i12 && 1 <= i24 && x = 2
main_Load_2(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_288(a6, i23, i24, x, i12, env, static) -{2,2}> main_EQ_296(a6, i23, i24, 2, i12, env, static) :|: 0 < a6 && 1 <= i23 && 1 <= i24 && 2 <= i12 && x = 2
random_InvokeMethod_95(o11, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_134(a6, 1, i7', i6, env, static) :|: 0 <= a6 && 0 <= i7' && i7' <= o11 && 0 < a6 && a6 <= static && 0 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 <= o11 && 0 < o11 && x = 1
main_LE_324(a6, i23, i24, x, i12, env, static) -{6,6}> main_Load_288(a6, i23, i24 - i23, 2, i12, env, static) :|: i23 <= i24 && 2 <= i24 && 1 <= i27' && 1 <= i23 && 0 < a6 && 2 <= i12 && 1 <= i24 && i23 < i24 && i24 - i23 = i27' && x = 2
main_LE_278(a6, iconst_0, i23, iconst_2, i12, env, static) -{0,0}> main_LE_282(a6, 0, i23, 2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && 1 <= i23 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2
random_ArrayAccess_70(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_95(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
main_EQ_296(a6, i23, i24, x, i12, env, static) -{3,3}> main_LE_324(a6, i23, i24, 2, i12, env, static) :|: i23 > i24 && 1 <= i23 && 0 < a6 && 2 <= i12 && 1 <= i24 && x = 2
main_LE_278(a6, i24, i23, x, i12, env, static) -{1,1}> main_Load_288(a6, i23, i24, 2, i12, env, static) :|: 0 < a6 && 1 <= i23 && 0 < i24 && 1 <= i24 && 0 <= i24 && 2 <= i12 && x = 2
main_LE_264(a6, i23, i21, x, i12, env, static) -{2,2}> main_LE_278(a6, i21, i23, 2, i12, env, static) :|: 2 <= i12 && 0 <= i21 && 0 < a6 && 1 <= i23 && 0 <= i23 && 0 < i23 && x = 2
random_ArrayAccess_134(a6, iconst_1, i7, x, env, static) -{0,0}> random_ArrayAccess_143(a6, 1, i7, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && x = iconst_1
main_LE_324(a6, i23, i24, x, i12, env, static) -{6,6}> main_Load_288(a6, i23 - i24, i24, 2, i12, env, static) :|: i24 < i23 && i23 - i24 = i28' && 1 <= i28' && 1 <= i23 && 0 < a6 && 1 <= i24 && 2 <= i12 && 2 <= i23 && x = 2
random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_74(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
random_ArrayAccess_134(a6, x, i7, i12, env, static) -{7,7}> random_InvokeMethod_209(o25', a6, i7, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i7 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
main_LE_264(a6, iconst_0, i21, iconst_2, i12, env, static) -{0,0}> main_LE_269(a6, 0, i21, 2, i12, env, static) :|: 0 <= iconst_0 && 0 <= i21 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2
random_InvokeMethod_209(o50, a6, i7, x, i12, env, static) -{4,4}> main_LE_264(a6, i7, i21', 2, i12, env, static) :|: 2 <= i12 && 0 <= i21' && 0 <= i7 && 0 < o50 && 0 < a6 && i21' <= o50 && 0 <= o50 && x = 2
random_InvokeMethod_95(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_98(0, a6, 1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
main_EQ_296(a6, i23, i24, iconst_2, i12, env, static) -{0,0}> main_EQ_299(a6, i24, 2, i12, env, static) :|: i23 = i24 && 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2
random_InvokeMethod_209(NULL, a6, i7, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_217(0, a6, i7, 2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i7 && iconst_2 = 2

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

Simplified expressions.

main_LE_324(a6, i23, i24, x, i12, env, static) -{6,6}> main_Load_288(a6, i23 - i24, i24, 2, i12, env, static) :|: i24 < i23 && i23 - i24 = i28' && 1 <= i28' && 1 <= i23 && 0 < a6 && 1 <= i24 && 2 <= i12 && 2 <= i23 && x = 2
was transformed to
main_LE_324(a6, i23, i24, x, i12, env, static) -{6,6}> main_Load_288(a6, i23 + -1 * i24, i24, 2, i12, env, static) :|: i24 < i23 && i23 + -1 * i24 = i28' && 1 <= i28' && 1 <= i23 && 0 < a6 && 1 <= i24 && 2 <= i12 && 2 <= i23 && x = 2

main_Load_2(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_2(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_95(o11, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_134(a6, 1, i7', i6, env, static) :|: 0 <= a6 && 0 <= i7' && i7' <= o11 && 0 < a6 && a6 <= static && 0 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 <= o11 && 0 < o11 && x = 1
was transformed to
random_InvokeMethod_95(o11, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_134(a6, 1, i7', i6, env, static) :|: 0 <= i7' && i7' <= o11 && 0 < a6 && a6 <= static && 0 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 < o11 && x = 1

main_LE_324(a6, i23, i24, x, i12, env, static) -{6,6}> main_Load_288(a6, i23, i24 - i23, 2, i12, env, static) :|: i23 <= i24 && 2 <= i24 && 1 <= i27' && 1 <= i23 && 0 < a6 && 2 <= i12 && 1 <= i24 && i23 < i24 && i24 - i23 = i27' && x = 2
was transformed to
main_LE_324(a6, i23, i24, x, i12, env, static) -{6,6}> main_Load_288(a6, i23, i24 + -1 * i23, 2, i12, env, static) :|: 2 <= i24 && 1 <= i27' && 1 <= i23 && 0 < a6 && 2 <= i12 && 1 <= i24 && i23 < i24 && i24 + -1 * i23 = i27' && x = 2

main_LE_278(a6, i24, i23, x, i12, env, static) -{1,1}> main_Load_288(a6, i23, i24, 2, i12, env, static) :|: 0 < a6 && 1 <= i23 && 0 < i24 && 1 <= i24 && 0 <= i24 && 2 <= i12 && x = 2
was transformed to
main_LE_278(a6, i24, i23, x, i12, env, static) -{1,1}> main_Load_288(a6, i23, i24, 2, i12, env, static) :|: 0 < a6 && 1 <= i23 && 0 < i24 && 1 <= i24 && 2 <= i12 && x = 2

main_EQ_296(a6, i23, i24, x, i12, env, static) -{3,3}> main_LE_324(a6, i23, i24, 2, i12, env, static) :|: i23 > i24 && 1 <= i23 && 0 < a6 && 2 <= i12 && 1 <= i24 && x = 2
was transformed to
main_EQ_296(a6, i23, i24, x, i12, env, static) -{3,3}> main_LE_324(a6, i23, i24, 2, i12, env, static) :|: i24 < i23 && 1 <= i23 && 0 < a6 && 2 <= i12 && 1 <= i24 && x = 2

main_LE_264(a6, i23, i21, x, i12, env, static) -{2,2}> main_LE_278(a6, i21, i23, 2, i12, env, static) :|: 2 <= i12 && 0 <= i21 && 0 < a6 && 1 <= i23 && 0 <= i23 && 0 < i23 && x = 2
was transformed to
main_LE_264(a6, i23, i21, x, i12, env, static) -{2,2}> main_LE_278(a6, i21, i23, 2, i12, env, static) :|: 2 <= i12 && 0 <= i21 && 0 < a6 && 1 <= i23 && 0 < i23 && x = 2

random_InvokeMethod_209(o50, a6, i7, x, i12, env, static) -{4,4}> main_LE_264(a6, i7, i21', 2, i12, env, static) :|: 2 <= i12 && 0 <= i21' && 0 <= i7 && 0 < o50 && 0 < a6 && i21' <= o50 && 0 <= o50 && x = 2
was transformed to
random_InvokeMethod_209(o50, a6, i7, x, i12, env, static) -{4,4}> main_LE_264(a6, i7, i21', 2, i12, env, static) :|: 2 <= i12 && 0 <= i21' && 0 <= i7 && 0 < o50 && 0 < a6 && i21' <= o50 && x = 2

(34) Obligation:

IntTrs with 19 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_EQ_296(a6, i23, i24, x, i12, env, static) -{3,3}> main_LE_324(a6, i23, i24, 2, i12, env, static) :|: i23 < i24 && 1 <= i23 && 0 < a6 && 2 <= i12 && 1 <= i24 && x = 2
main_EQ_296(a6, i23, i24, x, i12, env, static) -{3,3}> main_LE_324(a6, i23, i24, 2, i12, env, static) :|: i24 < i23 && 1 <= i23 && 0 < a6 && 2 <= i12 && 1 <= i24 && x = 2
main_LE_324(a6, i23, i24, x, i12, env, static) -{6,6}> main_Load_288(a6, i23 + -1 * i24, i24, 2, i12, env, static) :|: i24 < i23 && i23 + -1 * i24 = i28' && 1 <= i28' && 1 <= i23 && 0 < a6 && 1 <= i24 && 2 <= i12 && 2 <= i23 && x = 2
main_Load_288(a6, i23, i24, x, i12, env, static) -{2,2}> main_EQ_296(a6, i23, i24, 2, i12, env, static) :|: 0 < a6 && 1 <= i23 && 1 <= i24 && 2 <= i12 && x = 2
random_InvokeMethod_95(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_98(0, a6, 1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
main_Load_2(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
main_LE_264(a6, iconst_0, i21, iconst_2, i12, env, static) -{0,0}> main_LE_269(a6, 0, i21, 2, i12, env, static) :|: 0 <= iconst_0 && 0 <= i21 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2
random_ArrayAccess_70(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_95(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
random_InvokeMethod_209(o50, a6, i7, x, i12, env, static) -{4,4}> main_LE_264(a6, i7, i21', 2, i12, env, static) :|: 2 <= i12 && 0 <= i21' && 0 <= i7 && 0 < o50 && 0 < a6 && i21' <= o50 && x = 2
random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_74(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
random_ArrayAccess_134(a6, iconst_1, i7, x, env, static) -{0,0}> random_ArrayAccess_143(a6, 1, i7, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && x = iconst_1
main_LE_278(a6, iconst_0, i23, iconst_2, i12, env, static) -{0,0}> main_LE_282(a6, 0, i23, 2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && 1 <= i23 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2
main_EQ_296(a6, i23, i24, iconst_2, i12, env, static) -{0,0}> main_EQ_299(a6, i24, 2, i12, env, static) :|: i23 = i24 && 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2
random_ArrayAccess_134(a6, x, i7, i12, env, static) -{7,7}> random_InvokeMethod_209(o25', a6, i7, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i7 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
main_LE_264(a6, i23, i21, x, i12, env, static) -{2,2}> main_LE_278(a6, i21, i23, 2, i12, env, static) :|: 2 <= i12 && 0 <= i21 && 0 < a6 && 1 <= i23 && 0 < i23 && x = 2
random_InvokeMethod_95(o11, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_134(a6, 1, i7', i6, env, static) :|: 0 <= i7' && i7' <= o11 && 0 < a6 && a6 <= static && 0 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 < o11 && x = 1
main_LE_278(a6, i24, i23, x, i12, env, static) -{1,1}> main_Load_288(a6, i23, i24, 2, i12, env, static) :|: 0 < a6 && 1 <= i23 && 0 < i24 && 1 <= i24 && 2 <= i12 && x = 2
random_InvokeMethod_209(NULL, a6, i7, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_217(0, a6, i7, 2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i7 && iconst_2 = 2
main_LE_324(a6, i23, i24, x, i12, env, static) -{6,6}> main_Load_288(a6, i23, i24 + -1 * i23, 2, i12, env, static) :|: 2 <= i24 && 1 <= i27' && 1 <= i23 && 0 < a6 && 2 <= i12 && 1 <= i24 && i23 < i24 && i24 + -1 * i23 = i27' && x = 2

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

Transformed 96 jbc graph edges to a weighted ITS with 96 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.

(36) Obligation:

IntTrs with 96 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_2(o1, env, static) -{0,0}> main_Load_3(o1, env, static) :|: 0 < o1
main_Load_3(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_15(a2, o1, iconst_0, env, static) :|: a2 = 2 && iconst_0 = 0 && 0 < a2 && 0 < o1
langle_clinit_rangle_FieldAccess_15(a2, o1, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_17(o1, env, static') :|: 0 <= a2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2 && 0 < o1
langle_clinit_rangle_New_17(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_29(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Load_29(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_31(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_31(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_43(o1, env, static) :|: 0 <= static && 0 < o1
main_Load_43(o1, env, static) -{0,0}> main_Load_45(o1, env, static) :|: 0 < o1
main_Load_45(o1, env, static) -{0,0}> main_Load_46(o1, env, static) :|: 0 < o1
main_Load_46(o1, env, static) -{1,1}> main_FieldAccess_47(o1, env, static) :|: 0 < o1
main_FieldAccess_47(o1, env, static) -{0,0}> main_FieldAccess_48(o1, env, static) :|: 0 < o1
main_FieldAccess_48(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_50(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ConstantStackPush_50(o1, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_53(iconst_0, o1, NULL, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_FieldAccess_53(iconst_0, o1, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_55(o1, NULL, iconst_0, env, static') :|: NULL = 0 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0 && 0 < o1
langle_clinit_rangle_Return_55(o1, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_57(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
main_FieldAccess_57(o1, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_59(o1, iconst_0, env, static') :|: static' <= static + o1 && NULL = 0 && 0 <= o1 && iconst_0 = 0 && 0 <= static && 0 < o1
main_InvokeMethod_59(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_62(o1, iconst_0, env, static) :|: iconst_0 = 0 && 0 < o1
random_FieldAccess_62(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_65(o1, iconst_0, env, static) :|: 0 <= o1 && o1 <= static && iconst_0 = 0 && 0 <= static && 0 < o1
random_FieldAccess_65(o1, iconst_0, env, static) -{1,1}> random_ArrayAccess_68(o1, iconst_0, env, static) :|: -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static && 0 < o1
random_ArrayAccess_68(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_74(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_75(a6, iconst_0, i6, env, static) :|: 0 <= i6 && 1 <= i6 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_75(a6, iconst_0, i6, env, static) -{1,1}> random_Store_78(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && o8 < a6 && iconst_0 = 0 && 0 < a6
random_Store_78(o8, a6, iconst_0, i6, env, static) -{1,1}> random_FieldAccess_80(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_0 = 0 && 0 < a6
random_FieldAccess_80(o8, a6, iconst_0, i6, env, static) -{1,1}> random_ConstantStackPush_85(iconst_0, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && 0 < a6 && iconst_0 <= static
random_ConstantStackPush_85(iconst_0, o8, a6, i6, env, static) -{1,1}> random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i6, env, static) -{1,1}> random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i6, env, static) -{1,1}> random_Load_93(o8, a6, iconst_1, i6, env, static') :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 <= static && 0 < a6 && static' <= static + iconst_1
random_Load_93(o8, a6, iconst_1, i6, env, static) -{1,1}> random_InvokeMethod_95(o8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && 0 < a6
random_InvokeMethod_95(o11, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_97(o11, a6, iconst_1, i6, env, static) :|: 0 <= o11 && 1 <= i6 && iconst_1 = 1 && 0 < o11 && 0 < a6
random_InvokeMethod_95(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_98(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
random_InvokeMethod_97(o11, a6, iconst_1, i6, env, static) -{1,1}> random_Return_103(i7, a6, iconst_1, i6, env, static) :|: 1 <= i6 && i7 <= o11 && iconst_1 = 1 && 0 < o11 && 0 < a6 && 0 <= i7
random_Return_103(i7, a6, iconst_1, i6, env, static) -{1,1}> main_Store_109(a6, i7, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i7
main_Store_109(a6, i7, iconst_1, i6, env, static) -{1,1}> main_InvokeMethod_114(a6, i7, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i7
main_InvokeMethod_114(a6, i7, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_118(a6, i7, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i7
random_FieldAccess_118(a6, i7, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_131(a6, i7, iconst_1, i6, env, static) :|: 0 <= a6 && 1 <= i6 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i7
random_FieldAccess_131(a6, i7, iconst_1, i6, env, static) -{1,1}> random_ArrayAccess_134(a6, iconst_1, i7, i6, env, static) :|: -1 * static <= iconst_1 && 1 <= i6 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i7
random_ArrayAccess_134(a6, iconst_1, i7, iconst_1, env, static) -{0,0}> random_ArrayAccess_143(a6, iconst_1, i7, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i7
random_ArrayAccess_134(a6, iconst_1, i7, i12, env, static) -{0,0}> random_ArrayAccess_144(a6, iconst_1, i7, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && 1 <= i12
random_ArrayAccess_144(a6, iconst_1, i7, i12, env, static) -{1,1}> random_Store_151(o25, a6, i7, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && o25 < a6 && 0 < a6 && 0 <= i7 && 0 <= o25
random_Store_151(o25, a6, i7, iconst_1, i12, env, static) -{1,1}> random_FieldAccess_153(o25, a6, i7, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && 0 <= o25
random_FieldAccess_153(o25, a6, i7, iconst_1, i12, env, static) -{1,1}> random_ConstantStackPush_159(iconst_1, o25, a6, i7, i12, env, static) :|: -1 * static <= iconst_1 && 2 <= i12 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i7 && 0 <= o25
random_ConstantStackPush_159(iconst_1, o25, a6, i7, i12, env, static) -{1,1}> random_IntArithmetic_169(iconst_1, o25, a6, i7, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && 0 <= o25
random_IntArithmetic_169(iconst_1, o25, a6, i7, i12, env, static) -{1,1}> random_FieldAccess_176(iconst_2, o25, a6, i7, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && 0 <= o25 && iconst_2 = 2
random_FieldAccess_176(iconst_2, o25, a6, i7, iconst_1, i12, env, static) -{1,1}> random_Load_186(o25, a6, i7, iconst_2, i12, env, static') :|: 2 <= i12 && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i7 && 0 <= o25 && iconst_2 = 2 && static' <= static + iconst_2
random_Load_186(o25, a6, i7, iconst_2, i12, env, static) -{1,1}> random_InvokeMethod_209(o25, a6, i7, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i7 && 0 <= o25 && iconst_2 = 2
random_InvokeMethod_209(o50, a6, i7, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_216(o50, a6, i7, iconst_2, i12, env, static) :|: 0 < o50 && 2 <= i12 && 0 <= o50 && 0 < a6 && 0 <= i7 && iconst_2 = 2
random_InvokeMethod_209(NULL, a6, i7, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_217(NULL, a6, i7, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i7 && iconst_2 = 2
random_InvokeMethod_216(o50, a6, i7, iconst_2, i12, env, static) -{1,1}> random_Return_234(i21, a6, i7, iconst_2, i12, env, static) :|: 0 <= i21 && 0 < o50 && 2 <= i12 && 0 < a6 && 0 <= i7 && iconst_2 = 2 && i21 <= o50
random_Return_234(i21, a6, i7, iconst_2, i12, env, static) -{1,1}> main_Store_252(a6, i21, i7, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 0 <= i7 && iconst_2 = 2
main_Store_252(a6, i21, i7, iconst_2, i12, env, static) -{1,1}> main_Load_260(a6, i7, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 0 <= i7 && iconst_2 = 2
main_Load_260(a6, i7, i21, iconst_2, i12, env, static) -{1,1}> main_LE_264(a6, i7, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 0 <= i7 && iconst_2 = 2
main_LE_264(a6, iconst_0, i21, iconst_2, i12, env, static) -{0,0}> main_LE_269(a6, iconst_0, i21, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 0 <= i21 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2
main_LE_264(a6, i23, i21, iconst_2, i12, env, static) -{0,0}> main_LE_270(a6, i23, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2 && 0 <= i23
main_LE_270(a6, i23, i21, iconst_2, i12, env, static) -{1,1}> main_Load_274(a6, i23, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 1 <= i23 && 0 < a6 && 0 < i23 && iconst_2 = 2
main_Load_274(a6, i23, i21, iconst_2, i12, env, static) -{1,1}> main_LE_278(a6, i21, i23, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2
main_LE_278(a6, iconst_0, i23, iconst_2, i12, env, static) -{0,0}> main_LE_282(a6, iconst_0, i23, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && 1 <= i23 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2
main_LE_278(a6, i24, i23, iconst_2, i12, env, static) -{0,0}> main_LE_283(a6, i24, i23, iconst_2, i12, env, static) :|: 0 <= i24 && 2 <= i12 && 1 <= i24 && 1 <= i23 && 0 < a6 && iconst_2 = 2
main_LE_283(a6, i24, i23, iconst_2, i12, env, static) -{1,1}> main_Load_288(a6, i23, i24, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < i24 && 0 < a6 && iconst_2 = 2
main_Load_288(a6, i23, i24, iconst_2, i12, env, static) -{1,1}> main_Load_292(a6, i23, i24, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2
main_Load_292(a6, i23, i24, iconst_2, i12, env, static) -{1,1}> main_EQ_296(a6, i23, i24, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2
main_EQ_296(a6, i23, i24, iconst_2, i12, env, static) -{0,0}> main_EQ_299(a6, i24, iconst_2, i12, env, static) :|: i23 = i24 && 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2
main_EQ_296(a6, i23, i24, iconst_2, i12, env, static) -{0,0}> main_EQ_302(a6, i23, i24, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && !(i23 = i24) && iconst_2 = 2
main_EQ_302(a6, i23, i24, iconst_2, i12, env, static) -{1,1}> main_Load_314(a6, i23, i24, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && !(i23 = i24) && iconst_2 = 2
main_Load_314(a6, i23, i24, iconst_2, i12, env, static) -{1,1}> main_Load_321(a6, i23, i24, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2
main_Load_321(a6, i23, i24, iconst_2, i12, env, static) -{1,1}> main_LE_324(a6, i23, i24, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2
main_LE_324(a6, i23, i24, iconst_2, i12, env, static) -{0,0}> main_LE_329(a6, i23, i24, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && i23 <= i24 && iconst_2 = 2
main_LE_324(a6, i23, i24, iconst_2, i12, env, static) -{0,0}> main_LE_330(a6, i23, i24, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && i24 < i23 && 1 <= i23 && 0 < a6 && iconst_2 = 2
main_LE_329(a6, i23, i24, iconst_2, i12, env, static) -{1,1}> main_Load_336(a6, i23, i24, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && i23 < i24 && 2 <= i24 && 1 <= i23 && 0 < a6 && iconst_2 = 2
main_LE_330(a6, i23, i24, iconst_2, i12, env, static) -{1,1}> main_Load_338(a6, i23, i24, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && i24 < i23 && 2 <= i23 && 1 <= i23 && 0 < a6 && iconst_2 = 2
main_Load_336(a6, i23, i24, iconst_2, i12, env, static) -{1,1}> main_Load_349(a6, i24, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 2 <= i24 && 1 <= i23 && 0 < a6 && iconst_2 = 2
main_Load_338(a6, i23, i24, iconst_2, i12, env, static) -{1,1}> main_Load_351(a6, i23, i24, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 2 <= i23 && 0 < a6 && iconst_2 = 2
main_Load_349(a6, i24, i23, iconst_2, i12, env, static) -{1,1}> main_IntArithmetic_355(a6, i24, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 2 <= i24 && 1 <= i23 && 0 < a6 && iconst_2 = 2
main_Load_351(a6, i23, i24, iconst_2, i12, env, static) -{1,1}> main_IntArithmetic_356(a6, i23, i24, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 2 <= i23 && 0 < a6 && iconst_2 = 2
main_IntArithmetic_355(a6, i24, i23, iconst_2, i12, env, static) -{1,1}> main_Store_361(a6, i27, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 2 <= i24 && 1 <= i23 && 0 < a6 && 1 <= i27 && i24 - i23 = i27 && iconst_2 = 2
main_IntArithmetic_356(a6, i23, i24, iconst_2, i12, env, static) -{1,1}> main_Store_369(a6, i28, i24, iconst_2, i12, env, static) :|: i23 - i24 = i28 && 1 <= i24 && 2 <= i12 && 2 <= i23 && 0 < a6 && 1 <= i28 && iconst_2 = 2
main_Store_361(a6, i27, i23, iconst_2, i12, env, static) -{1,1}> main_JMP_378(a6, i23, i27, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i23 && 0 < a6 && 1 <= i27 && iconst_2 = 2
main_Store_369(a6, i28, i24, iconst_2, i12, env, static) -{1,1}> main_JMP_380(a6, i28, i24, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 0 < a6 && 1 <= i28 && iconst_2 = 2
main_JMP_378(a6, i23, i27, iconst_2, i12, env, static) -{1,1}> main_Load_383(a6, i23, i27, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i23 && 0 < a6 && 1 <= i27 && iconst_2 = 2
main_JMP_380(a6, i28, i24, iconst_2, i12, env, static) -{1,1}> main_Load_385(a6, i28, i24, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 0 < a6 && 1 <= i28 && iconst_2 = 2
main_Load_383(a6, i23, i27, iconst_2, i12, env, static) -{0,0}> main_Load_288(a6, i23, i27, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i23 && 0 < a6 && 1 <= i27 && iconst_2 = 2
main_Load_385(a6, i28, i24, iconst_2, i12, env, static) -{0,0}> main_Load_288(a6, i28, i24, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 0 < a6 && 1 <= i28 && iconst_2 = 2

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

obtained
main_Load_2(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_2(o1, env, static) -{0,0}> main_Load_3(o1, env, static) :|: 0 < o1
main_Load_3(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_15(a2, o1, iconst_0, env, static) :|: a2 = 2 && iconst_0 = 0 && 0 < a2 && 0 < o1
langle_clinit_rangle_FieldAccess_15(a2, o1, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_17(o1, env, static') :|: 0 <= a2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2 && 0 < o1
langle_clinit_rangle_New_17(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_29(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Load_29(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_31(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_31(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_43(o1, env, static) :|: 0 <= static && 0 < o1
main_Load_43(o1, env, static) -{0,0}> main_Load_45(o1, env, static) :|: 0 < o1
main_Load_45(o1, env, static) -{0,0}> main_Load_46(o1, env, static) :|: 0 < o1
main_Load_46(o1, env, static) -{1,1}> main_FieldAccess_47(o1, env, static) :|: 0 < o1
main_FieldAccess_47(o1, env, static) -{0,0}> main_FieldAccess_48(o1, env, static) :|: 0 < o1
main_FieldAccess_48(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_50(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ConstantStackPush_50(o1, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_53(iconst_0, o1, NULL, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_FieldAccess_53(iconst_0, o1, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_55(o1, NULL, iconst_0, env, static') :|: NULL = 0 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0 && 0 < o1
langle_clinit_rangle_Return_55(o1, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_57(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
main_FieldAccess_57(o1, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_59(o1, iconst_0, env, static') :|: static' <= static + o1 && NULL = 0 && 0 <= o1 && iconst_0 = 0 && 0 <= static && 0 < o1
main_InvokeMethod_59(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_62(o1, iconst_0, env, static) :|: iconst_0 = 0 && 0 < o1
random_FieldAccess_62(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_65(o1, iconst_0, env, static) :|: 0 <= o1 && o1 <= static && iconst_0 = 0 && 0 <= static && 0 < o1
random_FieldAccess_65(o1, iconst_0, env, static) -{1,1}> random_ArrayAccess_68(o1, iconst_0, env, static) :|: -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static && 0 < o1
random_ArrayAccess_68(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_95(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1
by chaining
random_ArrayAccess_70(a6, iconst_0, i6, env, static) -{0,0}> random_ArrayAccess_75(a6, iconst_0, i6, env, static) :|: 0 <= i6 && 1 <= i6 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_75(a6, iconst_0, i6, env, static) -{1,1}> random_Store_78(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && o8 < a6 && iconst_0 = 0 && 0 < a6
random_Store_78(o8, a6, iconst_0, i6, env, static) -{1,1}> random_FieldAccess_80(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_0 = 0 && 0 < a6
random_FieldAccess_80(o8, a6, iconst_0, i6, env, static) -{1,1}> random_ConstantStackPush_85(iconst_0, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && 0 < a6 && iconst_0 <= static
random_ConstantStackPush_85(iconst_0, o8, a6, i6, env, static) -{1,1}> random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i6, env, static) -{1,1}> random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i6, env, static) -{1,1}> random_Load_93(o8, a6, iconst_1, i6, env, static') :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 <= static && 0 < a6 && static' <= static + iconst_1
random_Load_93(o8, a6, iconst_1, i6, env, static) -{1,1}> random_InvokeMethod_95(o8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && 0 < a6

obtained
random_InvokeMethod_95(o11, a6, 1, i6, env, static) -{6,6}> random_ArrayAccess_134(a6, 1, i7', i6, env, static) :|: 0 <= a6 && 0 <= i7' && i7' <= o11 && 0 < a6 && a6 <= static && 0 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 <= o11 && 0 < o11
by chaining
random_InvokeMethod_95(o11, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_97(o11, a6, iconst_1, i6, env, static) :|: 0 <= o11 && 1 <= i6 && iconst_1 = 1 && 0 < o11 && 0 < a6
random_InvokeMethod_97(o11, a6, iconst_1, i6, env, static) -{1,1}> random_Return_103(i7, a6, iconst_1, i6, env, static) :|: 1 <= i6 && i7 <= o11 && iconst_1 = 1 && 0 < o11 && 0 < a6 && 0 <= i7
random_Return_103(i7, a6, iconst_1, i6, env, static) -{1,1}> main_Store_109(a6, i7, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i7
main_Store_109(a6, i7, iconst_1, i6, env, static) -{1,1}> main_InvokeMethod_114(a6, i7, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i7
main_InvokeMethod_114(a6, i7, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_118(a6, i7, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i7
random_FieldAccess_118(a6, i7, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_131(a6, i7, iconst_1, i6, env, static) :|: 0 <= a6 && 1 <= i6 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i7
random_FieldAccess_131(a6, i7, iconst_1, i6, env, static) -{1,1}> random_ArrayAccess_134(a6, iconst_1, i7, i6, env, static) :|: -1 * static <= iconst_1 && 1 <= i6 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i7

obtained
random_ArrayAccess_134(a6, 1, i7, i12, env, static) -{7,7}> random_InvokeMethod_209(o25', a6, i7, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i7 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2
by chaining
random_ArrayAccess_134(a6, iconst_1, i7, i12, env, static) -{0,0}> random_ArrayAccess_144(a6, iconst_1, i7, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && 1 <= i12
random_ArrayAccess_144(a6, iconst_1, i7, i12, env, static) -{1,1}> random_Store_151(o25, a6, i7, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && o25 < a6 && 0 < a6 && 0 <= i7 && 0 <= o25
random_Store_151(o25, a6, i7, iconst_1, i12, env, static) -{1,1}> random_FieldAccess_153(o25, a6, i7, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && 0 <= o25
random_FieldAccess_153(o25, a6, i7, iconst_1, i12, env, static) -{1,1}> random_ConstantStackPush_159(iconst_1, o25, a6, i7, i12, env, static) :|: -1 * static <= iconst_1 && 2 <= i12 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i7 && 0 <= o25
random_ConstantStackPush_159(iconst_1, o25, a6, i7, i12, env, static) -{1,1}> random_IntArithmetic_169(iconst_1, o25, a6, i7, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && 0 <= o25
random_IntArithmetic_169(iconst_1, o25, a6, i7, i12, env, static) -{1,1}> random_FieldAccess_176(iconst_2, o25, a6, i7, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && 0 <= o25 && iconst_2 = 2
random_FieldAccess_176(iconst_2, o25, a6, i7, iconst_1, i12, env, static) -{1,1}> random_Load_186(o25, a6, i7, iconst_2, i12, env, static') :|: 2 <= i12 && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i7 && 0 <= o25 && iconst_2 = 2 && static' <= static + iconst_2
random_Load_186(o25, a6, i7, iconst_2, i12, env, static) -{1,1}> random_InvokeMethod_209(o25, a6, i7, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i7 && 0 <= o25 && iconst_2 = 2

obtained
random_InvokeMethod_209(o50, a6, i7, 2, i12, env, static) -{4,4}> main_LE_264(a6, i7, i21', 2, i12, env, static) :|: 2 <= i12 && 0 <= i21' && 0 <= i7 && 0 < o50 && 0 < a6 && i21' <= o50 && 0 <= o50
by chaining
random_InvokeMethod_209(o50, a6, i7, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_216(o50, a6, i7, iconst_2, i12, env, static) :|: 0 < o50 && 2 <= i12 && 0 <= o50 && 0 < a6 && 0 <= i7 && iconst_2 = 2
random_InvokeMethod_216(o50, a6, i7, iconst_2, i12, env, static) -{1,1}> random_Return_234(i21, a6, i7, iconst_2, i12, env, static) :|: 0 <= i21 && 0 < o50 && 2 <= i12 && 0 < a6 && 0 <= i7 && iconst_2 = 2 && i21 <= o50
random_Return_234(i21, a6, i7, iconst_2, i12, env, static) -{1,1}> main_Store_252(a6, i21, i7, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 0 <= i7 && iconst_2 = 2
main_Store_252(a6, i21, i7, iconst_2, i12, env, static) -{1,1}> main_Load_260(a6, i7, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 0 <= i7 && iconst_2 = 2
main_Load_260(a6, i7, i21, iconst_2, i12, env, static) -{1,1}> main_LE_264(a6, i7, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 0 <= i7 && iconst_2 = 2

obtained
main_LE_264(a6, i23, i21, 2, i12, env, static) -{2,2}> main_LE_278(a6, i21, i23, 2, i12, env, static) :|: 2 <= i12 && 0 <= i21 && 0 < a6 && 1 <= i23 && 0 <= i23 && 0 < i23
by chaining
main_LE_264(a6, i23, i21, iconst_2, i12, env, static) -{0,0}> main_LE_270(a6, i23, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2 && 0 <= i23
main_LE_270(a6, i23, i21, iconst_2, i12, env, static) -{1,1}> main_Load_274(a6, i23, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 1 <= i23 && 0 < a6 && 0 < i23 && iconst_2 = 2
main_Load_274(a6, i23, i21, iconst_2, i12, env, static) -{1,1}> main_LE_278(a6, i21, i23, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2

obtained
main_LE_278(a6, i24, i23, 2, i12, env, static) -{1,1}> main_Load_288(a6, i23, i24, 2, i12, env, static) :|: 0 < a6 && 1 <= i23 && 0 < i24 && 1 <= i24 && 0 <= i24 && 2 <= i12
by chaining
main_LE_278(a6, i24, i23, iconst_2, i12, env, static) -{0,0}> main_LE_283(a6, i24, i23, iconst_2, i12, env, static) :|: 0 <= i24 && 2 <= i12 && 1 <= i24 && 1 <= i23 && 0 < a6 && iconst_2 = 2
main_LE_283(a6, i24, i23, iconst_2, i12, env, static) -{1,1}> main_Load_288(a6, i23, i24, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < i24 && 0 < a6 && iconst_2 = 2

obtained
main_Load_288(a6, i23, i24, 2, i12, env, static) -{2,2}> main_EQ_296(a6, i23, i24, 2, i12, env, static) :|: 0 < a6 && 1 <= i23 && 1 <= i24 && 2 <= i12
by chaining
main_Load_288(a6, i23, i24, iconst_2, i12, env, static) -{1,1}> main_Load_292(a6, i23, i24, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2
main_Load_292(a6, i23, i24, iconst_2, i12, env, static) -{1,1}> main_EQ_296(a6, i23, i24, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2

obtained
main_EQ_296(a6, i23, i24, 2, i12, env, static) -{3,3}> main_LE_324(a6, i23, i24, 2, i12, env, static) :|: !(i23 = i24) && 1 <= i23 && 0 < a6 && 2 <= i12 && 1 <= i24
by chaining
main_EQ_296(a6, i23, i24, iconst_2, i12, env, static) -{0,0}> main_EQ_302(a6, i23, i24, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && !(i23 = i24) && iconst_2 = 2
main_EQ_302(a6, i23, i24, iconst_2, i12, env, static) -{1,1}> main_Load_314(a6, i23, i24, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && !(i23 = i24) && iconst_2 = 2
main_Load_314(a6, i23, i24, iconst_2, i12, env, static) -{1,1}> main_Load_321(a6, i23, i24, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2
main_Load_321(a6, i23, i24, iconst_2, i12, env, static) -{1,1}> main_LE_324(a6, i23, i24, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2

obtained
main_LE_324(a6, i23, i24, 2, i12, env, static) -{6,6}> main_Load_288(a6, i28', i24, 2, i12, env, static) :|: i24 < i23 && i23 - i24 = i28' && 1 <= i28' && 1 <= i23 && 0 < a6 && 1 <= i24 && 2 <= i12 && 2 <= i23
by chaining
main_LE_324(a6, i23, i24, iconst_2, i12, env, static) -{0,0}> main_LE_330(a6, i23, i24, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && i24 < i23 && 1 <= i23 && 0 < a6 && iconst_2 = 2
main_LE_330(a6, i23, i24, iconst_2, i12, env, static) -{1,1}> main_Load_338(a6, i23, i24, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && i24 < i23 && 2 <= i23 && 1 <= i23 && 0 < a6 && iconst_2 = 2
main_Load_338(a6, i23, i24, iconst_2, i12, env, static) -{1,1}> main_Load_351(a6, i23, i24, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 2 <= i23 && 0 < a6 && iconst_2 = 2
main_Load_351(a6, i23, i24, iconst_2, i12, env, static) -{1,1}> main_IntArithmetic_356(a6, i23, i24, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 2 <= i23 && 0 < a6 && iconst_2 = 2
main_IntArithmetic_356(a6, i23, i24, iconst_2, i12, env, static) -{1,1}> main_Store_369(a6, i28, i24, iconst_2, i12, env, static) :|: i23 - i24 = i28 && 1 <= i24 && 2 <= i12 && 2 <= i23 && 0 < a6 && 1 <= i28 && iconst_2 = 2
main_Store_369(a6, i28, i24, iconst_2, i12, env, static) -{1,1}> main_JMP_380(a6, i28, i24, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 0 < a6 && 1 <= i28 && iconst_2 = 2
main_JMP_380(a6, i28, i24, iconst_2, i12, env, static) -{1,1}> main_Load_385(a6, i28, i24, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 0 < a6 && 1 <= i28 && iconst_2 = 2
main_Load_385(a6, i28, i24, iconst_2, i12, env, static) -{0,0}> main_Load_288(a6, i28, i24, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 0 < a6 && 1 <= i28 && iconst_2 = 2

obtained
main_LE_324(a6, i23, i24, 2, i12, env, static) -{6,6}> main_Load_288(a6, i23, i27', 2, i12, env, static) :|: i23 <= i24 && 2 <= i24 && 1 <= i27' && 1 <= i23 && 0 < a6 && 2 <= i12 && 1 <= i24 && i23 < i24 && i24 - i23 = i27'
by chaining
main_LE_324(a6, i23, i24, iconst_2, i12, env, static) -{0,0}> main_LE_329(a6, i23, i24, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && i23 <= i24 && iconst_2 = 2
main_LE_329(a6, i23, i24, iconst_2, i12, env, static) -{1,1}> main_Load_336(a6, i23, i24, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && i23 < i24 && 2 <= i24 && 1 <= i23 && 0 < a6 && iconst_2 = 2
main_Load_336(a6, i23, i24, iconst_2, i12, env, static) -{1,1}> main_Load_349(a6, i24, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 2 <= i24 && 1 <= i23 && 0 < a6 && iconst_2 = 2
main_Load_349(a6, i24, i23, iconst_2, i12, env, static) -{1,1}> main_IntArithmetic_355(a6, i24, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 2 <= i24 && 1 <= i23 && 0 < a6 && iconst_2 = 2
main_IntArithmetic_355(a6, i24, i23, iconst_2, i12, env, static) -{1,1}> main_Store_361(a6, i27, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 2 <= i24 && 1 <= i23 && 0 < a6 && 1 <= i27 && i24 - i23 = i27 && iconst_2 = 2
main_Store_361(a6, i27, i23, iconst_2, i12, env, static) -{1,1}> main_JMP_378(a6, i23, i27, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i23 && 0 < a6 && 1 <= i27 && iconst_2 = 2
main_JMP_378(a6, i23, i27, iconst_2, i12, env, static) -{1,1}> main_Load_383(a6, i23, i27, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i23 && 0 < a6 && 1 <= i27 && iconst_2 = 2
main_Load_383(a6, i23, i27, iconst_2, i12, env, static) -{0,0}> main_Load_288(a6, i23, i27, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i23 && 0 < a6 && 1 <= i27 && iconst_2 = 2

(38) Obligation:

IntTrs with 18 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_2(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_74(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_95(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1
random_InvokeMethod_95(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_98(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
random_InvokeMethod_95(o11, a6, 1, i6, env, static) -{6,6}> random_ArrayAccess_134(a6, 1, i7', i6, env, static) :|: 0 <= a6 && 0 <= i7' && i7' <= o11 && 0 < a6 && a6 <= static && 0 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 <= o11 && 0 < o11
random_ArrayAccess_134(a6, iconst_1, i7, iconst_1, env, static) -{0,0}> random_ArrayAccess_143(a6, iconst_1, i7, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i7
random_ArrayAccess_134(a6, 1, i7, i12, env, static) -{7,7}> random_InvokeMethod_209(o25', a6, i7, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i7 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2
random_InvokeMethod_209(NULL, a6, i7, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_217(NULL, a6, i7, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i7 && iconst_2 = 2
random_InvokeMethod_209(o50, a6, i7, 2, i12, env, static) -{4,4}> main_LE_264(a6, i7, i21', 2, i12, env, static) :|: 2 <= i12 && 0 <= i21' && 0 <= i7 && 0 < o50 && 0 < a6 && i21' <= o50 && 0 <= o50
main_LE_264(a6, iconst_0, i21, iconst_2, i12, env, static) -{0,0}> main_LE_269(a6, iconst_0, i21, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 0 <= i21 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2
main_LE_264(a6, i23, i21, 2, i12, env, static) -{2,2}> main_LE_278(a6, i21, i23, 2, i12, env, static) :|: 2 <= i12 && 0 <= i21 && 0 < a6 && 1 <= i23 && 0 <= i23 && 0 < i23
main_LE_278(a6, iconst_0, i23, iconst_2, i12, env, static) -{0,0}> main_LE_282(a6, iconst_0, i23, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && 1 <= i23 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2
main_LE_278(a6, i24, i23, 2, i12, env, static) -{1,1}> main_Load_288(a6, i23, i24, 2, i12, env, static) :|: 0 < a6 && 1 <= i23 && 0 < i24 && 1 <= i24 && 0 <= i24 && 2 <= i12
main_Load_288(a6, i23, i24, 2, i12, env, static) -{2,2}> main_EQ_296(a6, i23, i24, 2, i12, env, static) :|: 0 < a6 && 1 <= i23 && 1 <= i24 && 2 <= i12
main_EQ_296(a6, i23, i24, iconst_2, i12, env, static) -{0,0}> main_EQ_299(a6, i24, iconst_2, i12, env, static) :|: i23 = i24 && 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2
main_EQ_296(a6, i23, i24, 2, i12, env, static) -{3,3}> main_LE_324(a6, i23, i24, 2, i12, env, static) :|: !(i23 = i24) && 1 <= i23 && 0 < a6 && 2 <= i12 && 1 <= i24
main_LE_324(a6, i23, i24, 2, i12, env, static) -{6,6}> main_Load_288(a6, i28', i24, 2, i12, env, static) :|: i24 < i23 && i23 - i24 = i28' && 1 <= i28' && 1 <= i23 && 0 < a6 && 1 <= i24 && 2 <= i12 && 2 <= i23
main_LE_324(a6, i23, i24, 2, i12, env, static) -{6,6}> main_Load_288(a6, i23, i27', 2, i12, env, static) :|: i23 <= i24 && 2 <= i24 && 1 <= i27' && 1 <= i23 && 0 < a6 && 2 <= i12 && 1 <= i24 && i23 < i24 && i24 - i23 = i27'

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

Moved arithmethic from lhss to constraints.

main_LE_324(a6, i23, i24, 2, i12, env, static) -{6,6}> main_Load_288(a6, i23, i27', 2, i12, env, static) :|: i23 <= i24 && 2 <= i24 && 1 <= i27' && 1 <= i23 && 0 < a6 && 2 <= i12 && 1 <= i24 && i23 < i24 && i24 - i23 = i27'
was transformed to
main_LE_324(a6, i23, i24, x, i12, env, static) -{6,6}> main_Load_288(a6, i23, i27', 2, i12, env, static) :|: i23 <= i24 && 2 <= i24 && 1 <= i27' && 1 <= i23 && 0 < a6 && 2 <= i12 && 1 <= i24 && i23 < i24 && i24 - i23 = i27' && x = 2

main_EQ_296(a6, i23, i24, 2, i12, env, static) -{3,3}> main_LE_324(a6, i23, i24, 2, i12, env, static) :|: !(i23 = i24) && 1 <= i23 && 0 < a6 && 2 <= i12 && 1 <= i24
was transformed to
main_EQ_296(a6, i23, i24, x, i12, env, static) -{3,3}> main_LE_324(a6, i23, i24, 2, i12, env, static) :|: !(i23 = i24) && 1 <= i23 && 0 < a6 && 2 <= i12 && 1 <= i24 && x = 2

random_ArrayAccess_134(a6, 1, i7, i12, env, static) -{7,7}> random_InvokeMethod_209(o25', a6, i7, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i7 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2
was transformed to
random_ArrayAccess_134(a6, x, i7, i12, env, static) -{7,7}> random_InvokeMethod_209(o25', a6, i7, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i7 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1

random_InvokeMethod_209(o50, a6, i7, 2, i12, env, static) -{4,4}> main_LE_264(a6, i7, i21', 2, i12, env, static) :|: 2 <= i12 && 0 <= i21' && 0 <= i7 && 0 < o50 && 0 < a6 && i21' <= o50 && 0 <= o50
was transformed to
random_InvokeMethod_209(o50, a6, i7, x, i12, env, static) -{4,4}> main_LE_264(a6, i7, i21', 2, i12, env, static) :|: 2 <= i12 && 0 <= i21' && 0 <= i7 && 0 < o50 && 0 < a6 && i21' <= o50 && 0 <= o50 && x = 2

random_ArrayAccess_70(a6, 0, i6, env, static) -{7,7}> random_InvokeMethod_95(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1
was transformed to
random_ArrayAccess_70(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_95(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0

random_InvokeMethod_95(o11, a6, 1, i6, env, static) -{6,6}> random_ArrayAccess_134(a6, 1, i7', i6, env, static) :|: 0 <= a6 && 0 <= i7' && i7' <= o11 && 0 < a6 && a6 <= static && 0 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 <= o11 && 0 < o11
was transformed to
random_InvokeMethod_95(o11, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_134(a6, 1, i7', i6, env, static) :|: 0 <= a6 && 0 <= i7' && i7' <= o11 && 0 < a6 && a6 <= static && 0 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 <= o11 && 0 < o11 && x = 1

main_Load_288(a6, i23, i24, 2, i12, env, static) -{2,2}> main_EQ_296(a6, i23, i24, 2, i12, env, static) :|: 0 < a6 && 1 <= i23 && 1 <= i24 && 2 <= i12
was transformed to
main_Load_288(a6, i23, i24, x, i12, env, static) -{2,2}> main_EQ_296(a6, i23, i24, 2, i12, env, static) :|: 0 < a6 && 1 <= i23 && 1 <= i24 && 2 <= i12 && x = 2

main_LE_324(a6, i23, i24, 2, i12, env, static) -{6,6}> main_Load_288(a6, i28', i24, 2, i12, env, static) :|: i24 < i23 && i23 - i24 = i28' && 1 <= i28' && 1 <= i23 && 0 < a6 && 1 <= i24 && 2 <= i12 && 2 <= i23
was transformed to
main_LE_324(a6, i23, i24, x, i12, env, static) -{6,6}> main_Load_288(a6, i28', i24, 2, i12, env, static) :|: i24 < i23 && i23 - i24 = i28' && 1 <= i28' && 1 <= i23 && 0 < a6 && 1 <= i24 && 2 <= i12 && 2 <= i23 && x = 2

main_LE_264(a6, i23, i21, 2, i12, env, static) -{2,2}> main_LE_278(a6, i21, i23, 2, i12, env, static) :|: 2 <= i12 && 0 <= i21 && 0 < a6 && 1 <= i23 && 0 <= i23 && 0 < i23
was transformed to
main_LE_264(a6, i23, i21, x, i12, env, static) -{2,2}> main_LE_278(a6, i21, i23, 2, i12, env, static) :|: 2 <= i12 && 0 <= i21 && 0 < a6 && 1 <= i23 && 0 <= i23 && 0 < i23 && x = 2

main_LE_278(a6, i24, i23, 2, i12, env, static) -{1,1}> main_Load_288(a6, i23, i24, 2, i12, env, static) :|: 0 < a6 && 1 <= i23 && 0 < i24 && 1 <= i24 && 0 <= i24 && 2 <= i12
was transformed to
main_LE_278(a6, i24, i23, x, i12, env, static) -{1,1}> main_Load_288(a6, i23, i24, 2, i12, env, static) :|: 0 < a6 && 1 <= i23 && 0 < i24 && 1 <= i24 && 0 <= i24 && 2 <= i12 && x = 2

(40) Obligation:

IntTrs with 18 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_2(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_324(a6, i23, i24, x, i12, env, static) -{6,6}> main_Load_288(a6, i23, i27', 2, i12, env, static) :|: i23 <= i24 && 2 <= i24 && 1 <= i27' && 1 <= i23 && 0 < a6 && 2 <= i12 && 1 <= i24 && i23 < i24 && i24 - i23 = i27' && x = 2
main_EQ_296(a6, i23, i24, x, i12, env, static) -{3,3}> main_LE_324(a6, i23, i24, 2, i12, env, static) :|: !(i23 = i24) && 1 <= i23 && 0 < a6 && 2 <= i12 && 1 <= i24 && x = 2
random_ArrayAccess_134(a6, x, i7, i12, env, static) -{7,7}> random_InvokeMethod_209(o25', a6, i7, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i7 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
main_LE_278(a6, iconst_0, i23, iconst_2, i12, env, static) -{0,0}> main_LE_282(a6, iconst_0, i23, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && 1 <= i23 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2
random_ArrayAccess_134(a6, iconst_1, i7, iconst_1, env, static) -{0,0}> random_ArrayAccess_143(a6, iconst_1, i7, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i7
random_InvokeMethod_209(o50, a6, i7, x, i12, env, static) -{4,4}> main_LE_264(a6, i7, i21', 2, i12, env, static) :|: 2 <= i12 && 0 <= i21' && 0 <= i7 && 0 < o50 && 0 < a6 && i21' <= o50 && 0 <= o50 && x = 2
random_ArrayAccess_70(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_95(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
random_InvokeMethod_95(o11, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_134(a6, 1, i7', i6, env, static) :|: 0 <= a6 && 0 <= i7' && i7' <= o11 && 0 < a6 && a6 <= static && 0 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 <= o11 && 0 < o11 && x = 1
main_Load_288(a6, i23, i24, x, i12, env, static) -{2,2}> main_EQ_296(a6, i23, i24, 2, i12, env, static) :|: 0 < a6 && 1 <= i23 && 1 <= i24 && 2 <= i12 && x = 2
random_ArrayAccess_70(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_74(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6
main_LE_324(a6, i23, i24, x, i12, env, static) -{6,6}> main_Load_288(a6, i28', i24, 2, i12, env, static) :|: i24 < i23 && i23 - i24 = i28' && 1 <= i28' && 1 <= i23 && 0 < a6 && 1 <= i24 && 2 <= i12 && 2 <= i23 && x = 2
main_LE_264(a6, i23, i21, x, i12, env, static) -{2,2}> main_LE_278(a6, i21, i23, 2, i12, env, static) :|: 2 <= i12 && 0 <= i21 && 0 < a6 && 1 <= i23 && 0 <= i23 && 0 < i23 && x = 2
main_LE_264(a6, iconst_0, i21, iconst_2, i12, env, static) -{0,0}> main_LE_269(a6, iconst_0, i21, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 0 <= i21 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2
random_InvokeMethod_95(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_98(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
main_EQ_296(a6, i23, i24, iconst_2, i12, env, static) -{0,0}> main_EQ_299(a6, i24, iconst_2, i12, env, static) :|: i23 = i24 && 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2
main_LE_278(a6, i24, i23, x, i12, env, static) -{1,1}> main_Load_288(a6, i23, i24, 2, i12, env, static) :|: 0 < a6 && 1 <= i23 && 0 < i24 && 1 <= i24 && 0 <= i24 && 2 <= i12 && x = 2
random_InvokeMethod_209(NULL, a6, i7, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_217(NULL, a6, i7, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i7 && iconst_2 = 2

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

Linearized lhss.

random_ArrayAccess_134(a6, iconst_1, i7, iconst_1, env, static) -{0,0}> random_ArrayAccess_143(a6, iconst_1, i7, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i7
was transformed to
random_ArrayAccess_134(a6, iconst_1, i7, x, env, static) -{0,0}> random_ArrayAccess_143(a6, iconst_1, i7, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && x = iconst_1

random_ArrayAccess_70(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_74(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_74(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0

(42) Obligation:

IntTrs with 18 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_2(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_288(a6, i23, i24, x, i12, env, static) -{2,2}> main_EQ_296(a6, i23, i24, 2, i12, env, static) :|: 0 < a6 && 1 <= i23 && 1 <= i24 && 2 <= i12 && x = 2
random_InvokeMethod_95(o11, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_134(a6, 1, i7', i6, env, static) :|: 0 <= a6 && 0 <= i7' && i7' <= o11 && 0 < a6 && a6 <= static && 0 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 <= o11 && 0 < o11 && x = 1
main_LE_324(a6, i23, i24, x, i12, env, static) -{6,6}> main_Load_288(a6, i23, i27', 2, i12, env, static) :|: i23 <= i24 && 2 <= i24 && 1 <= i27' && 1 <= i23 && 0 < a6 && 2 <= i12 && 1 <= i24 && i23 < i24 && i24 - i23 = i27' && x = 2
random_ArrayAccess_134(a6, iconst_1, i7, x, env, static) -{0,0}> random_ArrayAccess_143(a6, iconst_1, i7, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && x = iconst_1
main_LE_278(a6, iconst_0, i23, iconst_2, i12, env, static) -{0,0}> main_LE_282(a6, iconst_0, i23, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && 1 <= i23 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2
random_ArrayAccess_70(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_95(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
main_LE_278(a6, i24, i23, x, i12, env, static) -{1,1}> main_Load_288(a6, i23, i24, 2, i12, env, static) :|: 0 < a6 && 1 <= i23 && 0 < i24 && 1 <= i24 && 0 <= i24 && 2 <= i12 && x = 2
main_LE_264(a6, i23, i21, x, i12, env, static) -{2,2}> main_LE_278(a6, i21, i23, 2, i12, env, static) :|: 2 <= i12 && 0 <= i21 && 0 < a6 && 1 <= i23 && 0 <= i23 && 0 < i23 && x = 2
main_EQ_296(a6, i23, i24, x, i12, env, static) -{3,3}> main_LE_324(a6, i23, i24, 2, i12, env, static) :|: !(i23 = i24) && 1 <= i23 && 0 < a6 && 2 <= i12 && 1 <= i24 && x = 2
main_LE_324(a6, i23, i24, x, i12, env, static) -{6,6}> main_Load_288(a6, i28', i24, 2, i12, env, static) :|: i24 < i23 && i23 - i24 = i28' && 1 <= i28' && 1 <= i23 && 0 < a6 && 1 <= i24 && 2 <= i12 && 2 <= i23 && x = 2
random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_74(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
random_ArrayAccess_134(a6, x, i7, i12, env, static) -{7,7}> random_InvokeMethod_209(o25', a6, i7, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i7 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
main_LE_264(a6, iconst_0, i21, iconst_2, i12, env, static) -{0,0}> main_LE_269(a6, iconst_0, i21, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 0 <= i21 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2
random_InvokeMethod_209(o50, a6, i7, x, i12, env, static) -{4,4}> main_LE_264(a6, i7, i21', 2, i12, env, static) :|: 2 <= i12 && 0 <= i21' && 0 <= i7 && 0 < o50 && 0 < a6 && i21' <= o50 && 0 <= o50 && x = 2
random_InvokeMethod_95(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_98(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
main_EQ_296(a6, i23, i24, iconst_2, i12, env, static) -{0,0}> main_EQ_299(a6, i24, iconst_2, i12, env, static) :|: i23 = i24 && 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2
random_InvokeMethod_209(NULL, a6, i7, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_217(NULL, a6, i7, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i7 && iconst_2 = 2

(43) RemoveDivModProof (CONCRETE UPPER BOUND(ID) transformation)

Removed div and mod.

main_EQ_296(a6, i23, i24, x, i12, env, static) -{3,3}> main_LE_324(a6, i23, i24, 2, i12, env, static) :|: !(i23 = i24) && 1 <= i23 && 0 < a6 && 2 <= i12 && 1 <= i24 && x = 2
was transformed to
main_EQ_296(a6, i23, i24, x, i12, env, static) -{3,3}> main_LE_324(a6, i23, i24, 2, i12, env, static) :|: i23 < i24 && 1 <= i23 && 0 < a6 && 2 <= i12 && 1 <= i24 && x = 2
main_EQ_296(a6, i23, i24, x, i12, env, static) -{3,3}> main_LE_324(a6, i23, i24, 2, i12, env, static) :|: i23 > i24 && 1 <= i23 && 0 < a6 && 2 <= i12 && 1 <= i24 && x = 2

(44) Obligation:

IntTrs with 19 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_2(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_EQ_296(a6, i23, i24, x, i12, env, static) -{3,3}> main_LE_324(a6, i23, i24, 2, i12, env, static) :|: i23 < i24 && 1 <= i23 && 0 < a6 && 2 <= i12 && 1 <= i24 && x = 2
main_Load_288(a6, i23, i24, x, i12, env, static) -{2,2}> main_EQ_296(a6, i23, i24, 2, i12, env, static) :|: 0 < a6 && 1 <= i23 && 1 <= i24 && 2 <= i12 && x = 2
main_LE_324(a6, i23, i24, x, i12, env, static) -{6,6}> main_Load_288(a6, i23, i27', 2, i12, env, static) :|: i23 <= i24 && 2 <= i24 && 1 <= i27' && 1 <= i23 && 0 < a6 && 2 <= i12 && 1 <= i24 && i23 < i24 && i24 - i23 = i27' && x = 2
random_InvokeMethod_95(o11, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_134(a6, 1, i7', i6, env, static) :|: 0 <= a6 && 0 <= i7' && i7' <= o11 && 0 < a6 && a6 <= static && 0 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 <= o11 && 0 < o11 && x = 1
main_LE_278(a6, iconst_0, i23, iconst_2, i12, env, static) -{0,0}> main_LE_282(a6, iconst_0, i23, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && 1 <= i23 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2
random_ArrayAccess_70(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_95(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
main_LE_278(a6, i24, i23, x, i12, env, static) -{1,1}> main_Load_288(a6, i23, i24, 2, i12, env, static) :|: 0 < a6 && 1 <= i23 && 0 < i24 && 1 <= i24 && 0 <= i24 && 2 <= i12 && x = 2
main_EQ_296(a6, i23, i24, x, i12, env, static) -{3,3}> main_LE_324(a6, i23, i24, 2, i12, env, static) :|: i23 > i24 && 1 <= i23 && 0 < a6 && 2 <= i12 && 1 <= i24 && x = 2
main_LE_264(a6, i23, i21, x, i12, env, static) -{2,2}> main_LE_278(a6, i21, i23, 2, i12, env, static) :|: 2 <= i12 && 0 <= i21 && 0 < a6 && 1 <= i23 && 0 <= i23 && 0 < i23 && x = 2
random_ArrayAccess_134(a6, iconst_1, i7, x, env, static) -{0,0}> random_ArrayAccess_143(a6, iconst_1, i7, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && x = iconst_1
random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_74(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
main_LE_324(a6, i23, i24, x, i12, env, static) -{6,6}> main_Load_288(a6, i28', i24, 2, i12, env, static) :|: i24 < i23 && i23 - i24 = i28' && 1 <= i28' && 1 <= i23 && 0 < a6 && 1 <= i24 && 2 <= i12 && 2 <= i23 && x = 2
random_ArrayAccess_134(a6, x, i7, i12, env, static) -{7,7}> random_InvokeMethod_209(o25', a6, i7, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i7 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
random_InvokeMethod_209(o50, a6, i7, x, i12, env, static) -{4,4}> main_LE_264(a6, i7, i21', 2, i12, env, static) :|: 2 <= i12 && 0 <= i21' && 0 <= i7 && 0 < o50 && 0 < a6 && i21' <= o50 && 0 <= o50 && x = 2
main_LE_264(a6, iconst_0, i21, iconst_2, i12, env, static) -{0,0}> main_LE_269(a6, iconst_0, i21, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 0 <= i21 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2
random_InvokeMethod_95(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_98(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
main_EQ_296(a6, i23, i24, iconst_2, i12, env, static) -{0,0}> main_EQ_299(a6, i24, iconst_2, i12, env, static) :|: i23 = i24 && 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2
random_InvokeMethod_209(NULL, a6, i7, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_217(NULL, a6, i7, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i7 && iconst_2 = 2

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

Moved arithmethic from constraints to rhss.

main_LE_324(a6, i23, i24, x, i12, env, static) -{6,6}> main_Load_288(a6, i23, i27', 2, i12, env, static) :|: i23 <= i24 && 2 <= i24 && 1 <= i27' && 1 <= i23 && 0 < a6 && 2 <= i12 && 1 <= i24 && i23 < i24 && i24 - i23 = i27' && x = 2
was transformed to
main_LE_324(a6, i23, i24, x, i12, env, static) -{6,6}> main_Load_288(a6, i23, i24 - i23, 2, i12, env, static) :|: i23 <= i24 && 2 <= i24 && 1 <= i27' && 1 <= i23 && 0 < a6 && 2 <= i12 && 1 <= i24 && i23 < i24 && i24 - i23 = i27' && x = 2

main_LE_278(a6, iconst_0, i23, iconst_2, i12, env, static) -{0,0}> main_LE_282(a6, iconst_0, i23, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && 1 <= i23 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2
was transformed to
main_LE_278(a6, iconst_0, i23, iconst_2, i12, env, static) -{0,0}> main_LE_282(a6, 0, i23, 2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && 1 <= i23 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2

random_ArrayAccess_134(a6, iconst_1, i7, x, env, static) -{0,0}> random_ArrayAccess_143(a6, iconst_1, i7, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && x = iconst_1
was transformed to
random_ArrayAccess_134(a6, iconst_1, i7, x, env, static) -{0,0}> random_ArrayAccess_143(a6, 1, i7, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && x = iconst_1

main_LE_324(a6, i23, i24, x, i12, env, static) -{6,6}> main_Load_288(a6, i28', i24, 2, i12, env, static) :|: i24 < i23 && i23 - i24 = i28' && 1 <= i28' && 1 <= i23 && 0 < a6 && 1 <= i24 && 2 <= i12 && 2 <= i23 && x = 2
was transformed to
main_LE_324(a6, i23, i24, x, i12, env, static) -{6,6}> main_Load_288(a6, i23 - i24, i24, 2, i12, env, static) :|: i24 < i23 && i23 - i24 = i28' && 1 <= i28' && 1 <= i23 && 0 < a6 && 1 <= i24 && 2 <= i12 && 2 <= i23 && x = 2

random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_74(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_74(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0

main_LE_264(a6, iconst_0, i21, iconst_2, i12, env, static) -{0,0}> main_LE_269(a6, iconst_0, i21, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 0 <= i21 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2
was transformed to
main_LE_264(a6, iconst_0, i21, iconst_2, i12, env, static) -{0,0}> main_LE_269(a6, 0, i21, 2, i12, env, static) :|: 0 <= iconst_0 && 0 <= i21 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2

random_InvokeMethod_95(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_98(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
was transformed to
random_InvokeMethod_95(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_98(0, a6, 1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6

main_EQ_296(a6, i23, i24, iconst_2, i12, env, static) -{0,0}> main_EQ_299(a6, i24, iconst_2, i12, env, static) :|: i23 = i24 && 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2
was transformed to
main_EQ_296(a6, i23, i24, iconst_2, i12, env, static) -{0,0}> main_EQ_299(a6, i24, 2, i12, env, static) :|: i23 = i24 && 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2

random_InvokeMethod_209(NULL, a6, i7, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_217(NULL, a6, i7, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i7 && iconst_2 = 2
was transformed to
random_InvokeMethod_209(NULL, a6, i7, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_217(0, a6, i7, 2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i7 && iconst_2 = 2

(46) Obligation:

IntTrs with 19 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_EQ_296(a6, i23, i24, x, i12, env, static) -{3,3}> main_LE_324(a6, i23, i24, 2, i12, env, static) :|: i23 < i24 && 1 <= i23 && 0 < a6 && 2 <= i12 && 1 <= i24 && x = 2
main_Load_2(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_288(a6, i23, i24, x, i12, env, static) -{2,2}> main_EQ_296(a6, i23, i24, 2, i12, env, static) :|: 0 < a6 && 1 <= i23 && 1 <= i24 && 2 <= i12 && x = 2
random_InvokeMethod_95(o11, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_134(a6, 1, i7', i6, env, static) :|: 0 <= a6 && 0 <= i7' && i7' <= o11 && 0 < a6 && a6 <= static && 0 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 <= o11 && 0 < o11 && x = 1
main_LE_324(a6, i23, i24, x, i12, env, static) -{6,6}> main_Load_288(a6, i23, i24 - i23, 2, i12, env, static) :|: i23 <= i24 && 2 <= i24 && 1 <= i27' && 1 <= i23 && 0 < a6 && 2 <= i12 && 1 <= i24 && i23 < i24 && i24 - i23 = i27' && x = 2
main_LE_278(a6, iconst_0, i23, iconst_2, i12, env, static) -{0,0}> main_LE_282(a6, 0, i23, 2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && 1 <= i23 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2
random_ArrayAccess_70(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_95(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
main_EQ_296(a6, i23, i24, x, i12, env, static) -{3,3}> main_LE_324(a6, i23, i24, 2, i12, env, static) :|: i23 > i24 && 1 <= i23 && 0 < a6 && 2 <= i12 && 1 <= i24 && x = 2
main_LE_278(a6, i24, i23, x, i12, env, static) -{1,1}> main_Load_288(a6, i23, i24, 2, i12, env, static) :|: 0 < a6 && 1 <= i23 && 0 < i24 && 1 <= i24 && 0 <= i24 && 2 <= i12 && x = 2
main_LE_264(a6, i23, i21, x, i12, env, static) -{2,2}> main_LE_278(a6, i21, i23, 2, i12, env, static) :|: 2 <= i12 && 0 <= i21 && 0 < a6 && 1 <= i23 && 0 <= i23 && 0 < i23 && x = 2
random_ArrayAccess_134(a6, iconst_1, i7, x, env, static) -{0,0}> random_ArrayAccess_143(a6, 1, i7, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && x = iconst_1
main_LE_324(a6, i23, i24, x, i12, env, static) -{6,6}> main_Load_288(a6, i23 - i24, i24, 2, i12, env, static) :|: i24 < i23 && i23 - i24 = i28' && 1 <= i28' && 1 <= i23 && 0 < a6 && 1 <= i24 && 2 <= i12 && 2 <= i23 && x = 2
random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_74(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
random_ArrayAccess_134(a6, x, i7, i12, env, static) -{7,7}> random_InvokeMethod_209(o25', a6, i7, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i7 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
main_LE_264(a6, iconst_0, i21, iconst_2, i12, env, static) -{0,0}> main_LE_269(a6, 0, i21, 2, i12, env, static) :|: 0 <= iconst_0 && 0 <= i21 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2
random_InvokeMethod_209(o50, a6, i7, x, i12, env, static) -{4,4}> main_LE_264(a6, i7, i21', 2, i12, env, static) :|: 2 <= i12 && 0 <= i21' && 0 <= i7 && 0 < o50 && 0 < a6 && i21' <= o50 && 0 <= o50 && x = 2
random_InvokeMethod_95(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_98(0, a6, 1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
main_EQ_296(a6, i23, i24, iconst_2, i12, env, static) -{0,0}> main_EQ_299(a6, i24, 2, i12, env, static) :|: i23 = i24 && 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2
random_InvokeMethod_209(NULL, a6, i7, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_217(0, a6, i7, 2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i7 && iconst_2 = 2

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

Simplified expressions.

main_LE_324(a6, i23, i24, x, i12, env, static) -{6,6}> main_Load_288(a6, i23 - i24, i24, 2, i12, env, static) :|: i24 < i23 && i23 - i24 = i28' && 1 <= i28' && 1 <= i23 && 0 < a6 && 1 <= i24 && 2 <= i12 && 2 <= i23 && x = 2
was transformed to
main_LE_324(a6, i23, i24, x, i12, env, static) -{6,6}> main_Load_288(a6, i23 + -1 * i24, i24, 2, i12, env, static) :|: i24 < i23 && i23 + -1 * i24 = i28' && 1 <= i28' && 1 <= i23 && 0 < a6 && 1 <= i24 && 2 <= i12 && 2 <= i23 && x = 2

main_Load_2(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_2(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_95(o11, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_134(a6, 1, i7', i6, env, static) :|: 0 <= a6 && 0 <= i7' && i7' <= o11 && 0 < a6 && a6 <= static && 0 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 <= o11 && 0 < o11 && x = 1
was transformed to
random_InvokeMethod_95(o11, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_134(a6, 1, i7', i6, env, static) :|: 0 <= i7' && i7' <= o11 && 0 < a6 && a6 <= static && 0 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 < o11 && x = 1

main_LE_324(a6, i23, i24, x, i12, env, static) -{6,6}> main_Load_288(a6, i23, i24 - i23, 2, i12, env, static) :|: i23 <= i24 && 2 <= i24 && 1 <= i27' && 1 <= i23 && 0 < a6 && 2 <= i12 && 1 <= i24 && i23 < i24 && i24 - i23 = i27' && x = 2
was transformed to
main_LE_324(a6, i23, i24, x, i12, env, static) -{6,6}> main_Load_288(a6, i23, i24 + -1 * i23, 2, i12, env, static) :|: 2 <= i24 && 1 <= i27' && 1 <= i23 && 0 < a6 && 2 <= i12 && 1 <= i24 && i23 < i24 && i24 + -1 * i23 = i27' && x = 2

main_LE_278(a6, i24, i23, x, i12, env, static) -{1,1}> main_Load_288(a6, i23, i24, 2, i12, env, static) :|: 0 < a6 && 1 <= i23 && 0 < i24 && 1 <= i24 && 0 <= i24 && 2 <= i12 && x = 2
was transformed to
main_LE_278(a6, i24, i23, x, i12, env, static) -{1,1}> main_Load_288(a6, i23, i24, 2, i12, env, static) :|: 0 < a6 && 1 <= i23 && 0 < i24 && 1 <= i24 && 2 <= i12 && x = 2

main_EQ_296(a6, i23, i24, x, i12, env, static) -{3,3}> main_LE_324(a6, i23, i24, 2, i12, env, static) :|: i23 > i24 && 1 <= i23 && 0 < a6 && 2 <= i12 && 1 <= i24 && x = 2
was transformed to
main_EQ_296(a6, i23, i24, x, i12, env, static) -{3,3}> main_LE_324(a6, i23, i24, 2, i12, env, static) :|: i24 < i23 && 1 <= i23 && 0 < a6 && 2 <= i12 && 1 <= i24 && x = 2

main_LE_264(a6, i23, i21, x, i12, env, static) -{2,2}> main_LE_278(a6, i21, i23, 2, i12, env, static) :|: 2 <= i12 && 0 <= i21 && 0 < a6 && 1 <= i23 && 0 <= i23 && 0 < i23 && x = 2
was transformed to
main_LE_264(a6, i23, i21, x, i12, env, static) -{2,2}> main_LE_278(a6, i21, i23, 2, i12, env, static) :|: 2 <= i12 && 0 <= i21 && 0 < a6 && 1 <= i23 && 0 < i23 && x = 2

random_InvokeMethod_209(o50, a6, i7, x, i12, env, static) -{4,4}> main_LE_264(a6, i7, i21', 2, i12, env, static) :|: 2 <= i12 && 0 <= i21' && 0 <= i7 && 0 < o50 && 0 < a6 && i21' <= o50 && 0 <= o50 && x = 2
was transformed to
random_InvokeMethod_209(o50, a6, i7, x, i12, env, static) -{4,4}> main_LE_264(a6, i7, i21', 2, i12, env, static) :|: 2 <= i12 && 0 <= i21' && 0 <= i7 && 0 < o50 && 0 < a6 && i21' <= o50 && x = 2

(48) Obligation:

IntTrs with 19 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_EQ_296(a6, i23, i24, x, i12, env, static) -{3,3}> main_LE_324(a6, i23, i24, 2, i12, env, static) :|: i23 < i24 && 1 <= i23 && 0 < a6 && 2 <= i12 && 1 <= i24 && x = 2
main_EQ_296(a6, i23, i24, x, i12, env, static) -{3,3}> main_LE_324(a6, i23, i24, 2, i12, env, static) :|: i24 < i23 && 1 <= i23 && 0 < a6 && 2 <= i12 && 1 <= i24 && x = 2
main_LE_324(a6, i23, i24, x, i12, env, static) -{6,6}> main_Load_288(a6, i23 + -1 * i24, i24, 2, i12, env, static) :|: i24 < i23 && i23 + -1 * i24 = i28' && 1 <= i28' && 1 <= i23 && 0 < a6 && 1 <= i24 && 2 <= i12 && 2 <= i23 && x = 2
main_Load_288(a6, i23, i24, x, i12, env, static) -{2,2}> main_EQ_296(a6, i23, i24, 2, i12, env, static) :|: 0 < a6 && 1 <= i23 && 1 <= i24 && 2 <= i12 && x = 2
random_InvokeMethod_95(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_98(0, a6, 1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
main_Load_2(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
main_LE_264(a6, iconst_0, i21, iconst_2, i12, env, static) -{0,0}> main_LE_269(a6, 0, i21, 2, i12, env, static) :|: 0 <= iconst_0 && 0 <= i21 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2
random_ArrayAccess_70(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_95(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
random_InvokeMethod_209(o50, a6, i7, x, i12, env, static) -{4,4}> main_LE_264(a6, i7, i21', 2, i12, env, static) :|: 2 <= i12 && 0 <= i21' && 0 <= i7 && 0 < o50 && 0 < a6 && i21' <= o50 && x = 2
random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_74(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
random_ArrayAccess_134(a6, iconst_1, i7, x, env, static) -{0,0}> random_ArrayAccess_143(a6, 1, i7, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && x = iconst_1
main_LE_278(a6, iconst_0, i23, iconst_2, i12, env, static) -{0,0}> main_LE_282(a6, 0, i23, 2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && 1 <= i23 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2
main_EQ_296(a6, i23, i24, iconst_2, i12, env, static) -{0,0}> main_EQ_299(a6, i24, 2, i12, env, static) :|: i23 = i24 && 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2
random_ArrayAccess_134(a6, x, i7, i12, env, static) -{7,7}> random_InvokeMethod_209(o25', a6, i7, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i7 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
main_LE_264(a6, i23, i21, x, i12, env, static) -{2,2}> main_LE_278(a6, i21, i23, 2, i12, env, static) :|: 2 <= i12 && 0 <= i21 && 0 < a6 && 1 <= i23 && 0 < i23 && x = 2
random_InvokeMethod_95(o11, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_134(a6, 1, i7', i6, env, static) :|: 0 <= i7' && i7' <= o11 && 0 < a6 && a6 <= static && 0 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 < o11 && x = 1
main_LE_278(a6, i24, i23, x, i12, env, static) -{1,1}> main_Load_288(a6, i23, i24, 2, i12, env, static) :|: 0 < a6 && 1 <= i23 && 0 < i24 && 1 <= i24 && 2 <= i12 && x = 2
random_InvokeMethod_209(NULL, a6, i7, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_217(0, a6, i7, 2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i7 && iconst_2 = 2
main_LE_324(a6, i23, i24, x, i12, env, static) -{6,6}> main_Load_288(a6, i23, i24 + -1 * i23, 2, i12, env, static) :|: 2 <= i24 && 1 <= i27' && 1 <= i23 && 0 < a6 && 2 <= i12 && 1 <= i24 && i23 < i24 && i24 + -1 * i23 = i27' && x = 2