(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 PastaC3 {
    public static void main(String[] args) {
        Random.args = args;
        int x = Random.random();
        int y = Random.random();
        int z = Random.random();

        while (x < y) {
            if (x < z) {
                x++;
            } else {
                z++;
            }
        }
    }
}


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:
PastaC3.main([Ljava/lang/String;)V: Graph of 238 nodes with 1 SCC.


(3) TerminationGraphToComplexityProof (BOTH CONCRETE BOUNDS(ID, ADD(137)) transformation)

Extracted set of 92 edges for the analysis of TIME complexity. Dropped leaves.

(4) Obligation:

Set of 92 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 92 jbc graph edges to a weighted ITS with 92 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 92 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_5(o1, env, static) :|: 0 < o1
langle_clinit_rangle_ConstantStackPush_5(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_13(a2, o1, iconst_0, env, static) :|: a2 = 2 && iconst_0 = 0 && 0 < a2 && 0 < o1
langle_clinit_rangle_FieldAccess_13(a2, o1, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_16(o1, env, static') :|: 0 <= a2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2 && 0 < o1
langle_clinit_rangle_New_16(o1, env, static) -{0,0}> langle_clinit_rangle_New_17(o1, env, static) :|: 0 < o1
langle_clinit_rangle_New_17(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_21(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_ConstantStackPush_21(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_24(o4, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_init_rangle_Load_24(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_26(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_26(o4, o1, env, static) -{1,1}> langle_init_rangle_Load_28(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Load_28(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_30(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_30(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_32(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_32(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_34(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_34(o4, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_36(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_FieldAccess_36(o4, o1, env, static) -{1,1}> langle_clinit_rangle_Return_39(o1, env, static') :|: 0 <= o4 && 0 < o4 && 0 <= static && 0 < o1 && static' <= static + o4
langle_clinit_rangle_Return_39(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_56(o1, env, static) :|: 0 <= static && 0 < o1
main_Load_56(o1, env, static) -{0,0}> main_Load_57(o1, env, static) :|: 0 < o1
main_Load_57(o1, env, static) -{0,0}> main_Load_58(o1, env, static) :|: 0 < o1
main_Load_58(o1, env, static) -{1,1}> main_FieldAccess_59(o1, env, static) :|: 0 < o1
main_FieldAccess_59(o1, env, static) -{0,0}> main_FieldAccess_60(o1, env, static) :|: 0 < o1
main_FieldAccess_60(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_61(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ConstantStackPush_61(o1, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_62(iconst_0, o1, NULL, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_FieldAccess_62(iconst_0, o1, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_63(o1, NULL, iconst_0, env, static') :|: NULL = 0 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0 && 0 < o1
langle_clinit_rangle_Return_63(o1, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_64(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
main_FieldAccess_64(o1, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_66(o1, iconst_0, env, static') :|: static' <= static + o1 && NULL = 0 && 0 <= o1 && iconst_0 = 0 && 0 <= static && 0 < o1
main_InvokeMethod_66(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_67(o1, iconst_0, env, static) :|: iconst_0 = 0 && 0 < o1
random_FieldAccess_67(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_68(o1, iconst_0, env, static) :|: 0 <= o1 && o1 <= static && iconst_0 = 0 && 0 <= static && 0 < o1
random_FieldAccess_68(o1, iconst_0, env, static) -{1,1}> random_ArrayAccess_69(o1, iconst_0, env, static) :|: -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static && 0 < o1
random_ArrayAccess_69(a6, iconst_0, env, static) -{0,0}> random_ArrayAccess_70(a6, iconst_0, i5, env, static) :|: i5 < a6 && iconst_0 = 0 && 0 < a6 && 0 <= i5
random_ArrayAccess_70(a6, iconst_0, i6, env, static) -{0,0}> random_ArrayAccess_74(a6, iconst_0, i6, env, static) :|: 0 <= i6 && 1 <= i6 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_74(a6, iconst_0, i6, env, static) -{1,1}> random_Store_78(o7, a6, iconst_0, i6, env, static) :|: 1 <= i6 && o7 < a6 && iconst_0 = 0 && 0 <= o7 && 0 < a6
random_Store_78(o7, a6, iconst_0, i6, env, static) -{1,1}> random_FieldAccess_80(o7, a6, iconst_0, i6, env, static) :|: 1 <= i6 && iconst_0 = 0 && 0 <= o7 && 0 < a6
random_FieldAccess_80(o7, a6, iconst_0, i6, env, static) -{1,1}> random_ConstantStackPush_84(iconst_0, o7, a6, i6, env, static) :|: 1 <= i6 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= o7 && 0 <= static && 0 < a6 && iconst_0 <= static
random_ConstantStackPush_84(iconst_0, o7, a6, i6, env, static) -{1,1}> random_IntArithmetic_88(iconst_0, iconst_1, o7, a6, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && iconst_0 = 0 && 0 <= o7 && 0 < a6
random_IntArithmetic_88(iconst_0, iconst_1, o7, a6, i6, env, static) -{1,1}> random_FieldAccess_90(iconst_1, o7, a6, iconst_0, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && iconst_0 = 0 && 0 <= o7 && 0 < a6
random_FieldAccess_90(iconst_1, o7, a6, iconst_0, i6, env, static) -{1,1}> random_Load_94(o7, a6, iconst_1, i6, env, static') :|: 1 <= i6 && iconst_1 = 1 && iconst_0 = 0 && 0 <= o7 && 0 <= static && 0 < a6 && static' <= static + iconst_1
random_Load_94(o7, a6, iconst_1, i6, env, static) -{1,1}> random_InvokeMethod_100(o7, a6, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 <= o7 && 0 < a6
random_InvokeMethod_100(o12, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_102(o12, a6, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6
random_InvokeMethod_102(o12, a6, iconst_1, i6, env, static) -{1,1}> random_Return_106(i8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && i8 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_Return_106(i8, a6, iconst_1, i6, env, static) -{1,1}> main_Store_112(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_Store_112(a6, i8, iconst_1, i6, env, static) -{1,1}> main_InvokeMethod_116(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_InvokeMethod_116(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_137(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_FieldAccess_137(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_141(a6, i8, iconst_1, i6, env, static) :|: 0 <= a6 && 1 <= i6 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8
random_FieldAccess_141(a6, i8, iconst_1, i6, env, static) -{1,1}> random_ArrayAccess_143(a6, iconst_1, i8, i6, env, static) :|: -1 * static <= iconst_1 && 1 <= i6 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8
random_ArrayAccess_143(a6, iconst_1, i8, i12, env, static) -{0,0}> random_ArrayAccess_152(a6, iconst_1, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i12
random_ArrayAccess_152(a6, iconst_1, i8, i12, env, static) -{1,1}> random_Store_161(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && o25 < a6 && 0 < a6 && 0 <= i8 && 0 <= o25
random_Store_161(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_FieldAccess_164(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_FieldAccess_164(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_ConstantStackPush_174(iconst_1, o25, a6, i8, i12, env, static) :|: -1 * static <= iconst_1 && 2 <= i12 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8 && 0 <= o25
random_ConstantStackPush_174(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_IntArithmetic_185(iconst_1, o25, a6, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_IntArithmetic_185(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_FieldAccess_189(iconst_2, o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2
random_FieldAccess_189(iconst_2, o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_Load_202(o25, a6, i8, iconst_2, i12, env, static') :|: 2 <= i12 && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2 && static' <= static + iconst_2
random_Load_202(o25, a6, i8, iconst_2, i12, env, static) -{1,1}> random_InvokeMethod_225(o25, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2
random_InvokeMethod_225(o52, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_232(o52, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < o52 && 0 < a6 && 0 <= i8 && 0 <= o52 && iconst_2 = 2
random_InvokeMethod_232(o52, a6, i8, iconst_2, i12, env, static) -{1,1}> random_Return_245(i21, a6, i8, iconst_2, i12, env, static) :|: 0 <= i21 && i21 <= o52 && 2 <= i12 && 0 < o52 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_Return_245(i21, a6, i8, iconst_2, i12, env, static) -{1,1}> main_Store_256(a6, i21, i8, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Store_256(a6, i21, i8, iconst_2, i12, env, static) -{1,1}> main_InvokeMethod_260(a6, i8, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_InvokeMethod_260(a6, i8, i21, iconst_2, i12, env, static) -{1,1}> random_FieldAccess_286(a6, i8, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_286(a6, i8, i21, iconst_2, i12, env, static) -{1,1}> random_FieldAccess_307(a6, i8, i21, iconst_2, i12, env, static) :|: 0 <= a6 && 0 <= i21 && 2 <= i12 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_307(a6, i8, i21, iconst_2, i12, env, static) -{1,1}> random_ArrayAccess_310(a6, iconst_2, i8, i21, i12, env, static) :|: -1 * static <= iconst_2 && 0 <= i21 && 2 <= i12 && iconst_2 <= static && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ArrayAccess_310(a6, iconst_2, i8, i21, i33, env, static) -{0,0}> random_ArrayAccess_315(a6, iconst_2, i8, i21, i33, env, static) :|: 3 <= i33 && 0 <= i21 && 2 <= i33 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ArrayAccess_315(a6, iconst_2, i8, i21, i33, env, static) -{1,1}> random_Store_320(o95, a6, i8, i21, iconst_2, i33, env, static) :|: 0 <= o95 && 3 <= i33 && 0 <= i21 && o95 < a6 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_Store_320(o95, a6, i8, i21, iconst_2, i33, env, static) -{1,1}> random_FieldAccess_323(o95, a6, i8, i21, iconst_2, i33, env, static) :|: 0 <= o95 && 3 <= i33 && 0 <= i21 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_323(o95, a6, i8, i21, iconst_2, i33, env, static) -{1,1}> random_ConstantStackPush_328(iconst_2, o95, a6, i8, i21, i33, env, static) :|: 0 <= o95 && -1 * static <= iconst_2 && 3 <= i33 && 0 <= i21 && iconst_2 <= static && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ConstantStackPush_328(iconst_2, o95, a6, i8, i21, i33, env, static) -{1,1}> random_IntArithmetic_332(iconst_2, iconst_1, o95, a6, i8, i21, i33, env, static) :|: 0 <= o95 && 3 <= i33 && 0 <= i21 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_IntArithmetic_332(iconst_2, iconst_1, o95, a6, i8, i21, i33, env, static) -{1,1}> random_FieldAccess_334(iconst_3, o95, a6, i8, i21, iconst_2, i33, env, static) :|: 0 <= o95 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_334(iconst_3, o95, a6, i8, i21, iconst_2, i33, env, static) -{1,1}> random_Load_338(o95, a6, i8, i21, iconst_3, i33, env, static') :|: 0 <= o95 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2 && static' <= static + iconst_3
random_Load_338(o95, a6, i8, i21, iconst_3, i33, env, static) -{1,1}> random_InvokeMethod_342(o95, a6, i8, i21, iconst_3, i33, env, static) :|: 0 <= o95 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 < a6 && 0 <= i8
random_InvokeMethod_342(o191, a6, i8, i21, iconst_3, i33, env, static) -{0,0}> random_InvokeMethod_345(o191, a6, i8, i21, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 < a6 && 0 < o191 && 0 <= i8 && 0 <= o191
random_InvokeMethod_345(o191, a6, i8, i21, iconst_3, i33, env, static) -{1,1}> random_Return_350(i88, a6, i8, i21, iconst_3, i33, env, static) :|: i88 <= o191 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 < o191 && 0 <= i8
random_Return_350(i88, a6, i8, i21, iconst_3, i33, env, static) -{1,1}> main_Store_355(a6, i88, i8, i21, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 <= i8
main_Store_355(a6, i88, i8, i21, iconst_3, i33, env, static) -{1,1}> main_Load_359(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 <= i8
main_Load_359(a6, i8, i21, i88, iconst_3, i33, env, static) -{1,1}> main_Load_363(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 <= i8
main_Load_363(a6, i8, i21, i88, iconst_3, i33, env, static) -{1,1}> main_GE_368(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 <= i8
main_GE_368(a6, i8, i21, i88, iconst_3, i33, env, static) -{0,0}> main_GE_374(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && i8 < i21 && 0 < a6 && 0 <= i8
main_GE_374(a6, i8, i21, i88, iconst_3, i33, env, static) -{1,1}> main_Load_382(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 1 <= i21 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && i8 < i21 && 0 < a6 && 0 <= i8
main_Load_382(a6, i8, i21, i88, iconst_3, i33, env, static) -{1,1}> main_Load_398(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 1 <= i21 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 <= i8
main_Load_398(a6, i8, i21, i88, iconst_3, i33, env, static) -{1,1}> main_GE_402(a6, i8, i88, i21, iconst_3, i33, env, static) :|: 1 <= i21 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 <= i8
main_GE_402(a6, i8, i88, i21, iconst_3, i33, env, static) -{0,0}> main_GE_410(a6, i8, i88, i21, iconst_3, i33, env, static) :|: 1 <= i21 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && i88 <= i8 && 0 < a6 && 0 <= i8
main_GE_402(a6, i8, i88, i21, iconst_3, i33, env, static) -{0,0}> main_GE_411(a6, i8, i88, i21, iconst_3, i33, env, static) :|: 1 <= i21 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && i8 < i88 && 0 < a6 && 0 <= i8
main_GE_410(a6, i8, i88, i21, iconst_3, i33, env, static) -{1,1}> main_Inc_420(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 1 <= i21 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && i88 <= i8 && 0 < a6 && 0 <= i8
main_GE_411(a6, i8, i88, i21, iconst_3, i33, env, static) -{1,1}> main_Inc_425(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 1 <= i21 && 1 <= i88 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && i8 < i88 && 0 < a6 && 0 <= i8
main_Inc_420(a6, i8, i21, i88, iconst_3, i33, env, static) -{1,1}> main_JMP_436(a6, i8, i21, i99, iconst_3, i33, env, static) :|: 1 <= i21 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 <= i8 && i88 + 1 = i99 && 1 <= i99
main_Inc_425(a6, i8, i21, i88, iconst_3, i33, env, static) -{1,1}> main_JMP_439(a6, i100, i21, i88, iconst_3, i33, env, static) :|: 1 <= i21 && 1 <= i88 && 3 <= i33 && iconst_3 = 3 && 1 <= i100 && 0 < a6 && 0 <= i8 && i8 + 1 = i100
main_JMP_436(a6, i8, i21, i99, iconst_3, i33, env, static) -{1,1}> main_Load_442(a6, i8, i21, i99, iconst_3, i33, env, static) :|: 1 <= i21 && 3 <= i33 && iconst_3 = 3 && 0 < a6 && 0 <= i8 && 1 <= i99
main_JMP_439(a6, i100, i21, i88, iconst_3, i33, env, static) -{1,1}> main_Load_447(a6, i100, i21, i88, iconst_3, i33, env, static) :|: 1 <= i21 && 1 <= i88 && 3 <= i33 && iconst_3 = 3 && 1 <= i100 && 0 < a6
main_Load_442(a6, i8, i21, i99, iconst_3, i33, env, static) -{0,0}> main_Load_359(a6, i8, i21, i99, iconst_3, i33, env, static) :|: 1 <= i21 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 < a6 && 0 <= i99 && 0 <= i8 && 1 <= i99
main_Load_447(a6, i100, i21, i88, iconst_3, i33, env, static) -{0,0}> main_Load_359(a6, i100, i21, i88, iconst_3, i33, env, static) :|: 1 <= i21 && 1 <= i88 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && 0 <= i100 && 1 <= i100 && 0 < a6

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

obtained
main_Load_2(o1, env, static) -{59,59}> main_Load_359(o1, i8', i21', i88', 3, i5', env, static'6) :|: 1 <= i5' && 0 <= i8' && static'5 <= static'4 + 2 && 0 < o1 && 0 < o95' && 0 <= i88' && 0 <= o25' && static'1 <= static''' + 1 && 3 <= i5' && 0 <= i21' && o95' < o1 && 2 <= static'5 && 0 <= 2 && i88' <= o95' && -1 * static'5 <= 2 && 0 <= static'2 && i5' < o1 && o1 <= static'4 && 0 <= static'4 && 0 < o7' && o7' < o1 && i8' <= o7' && static'2 <= static'1 + 0 && -1 * static'3 <= 0 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && 0 <= static''' && 0 < 2 && 0 <= static'3 && -1 * static'4 <= 1 && 0 <= o7' && i21' <= o25' && 0 <= o1 && 1 <= static'4 && 0 <= i5' && o1 <= static'5 && 0 < o25' && 0 <= static'5 && 2 <= i5' && o25' < o1 && 0 <= 1 && 0 < 1 && static'4 <= static'3 + 1 && static'6 <= static'5 + 3 && 0 <= o95'
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_5(o1, env, static) :|: 0 < o1
langle_clinit_rangle_ConstantStackPush_5(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_13(a2, o1, iconst_0, env, static) :|: a2 = 2 && iconst_0 = 0 && 0 < a2 && 0 < o1
langle_clinit_rangle_FieldAccess_13(a2, o1, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_16(o1, env, static') :|: 0 <= a2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2 && 0 < o1
langle_clinit_rangle_New_16(o1, env, static) -{0,0}> langle_clinit_rangle_New_17(o1, env, static) :|: 0 < o1
langle_clinit_rangle_New_17(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_21(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_ConstantStackPush_21(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_24(o4, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_init_rangle_Load_24(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_26(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_26(o4, o1, env, static) -{1,1}> langle_init_rangle_Load_28(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Load_28(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_30(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_30(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_32(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_32(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_34(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_34(o4, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_36(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_FieldAccess_36(o4, o1, env, static) -{1,1}> langle_clinit_rangle_Return_39(o1, env, static') :|: 0 <= o4 && 0 < o4 && 0 <= static && 0 < o1 && static' <= static + o4
langle_clinit_rangle_Return_39(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_56(o1, env, static) :|: 0 <= static && 0 < o1
main_Load_56(o1, env, static) -{0,0}> main_Load_57(o1, env, static) :|: 0 < o1
main_Load_57(o1, env, static) -{0,0}> main_Load_58(o1, env, static) :|: 0 < o1
main_Load_58(o1, env, static) -{1,1}> main_FieldAccess_59(o1, env, static) :|: 0 < o1
main_FieldAccess_59(o1, env, static) -{0,0}> main_FieldAccess_60(o1, env, static) :|: 0 < o1
main_FieldAccess_60(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_61(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ConstantStackPush_61(o1, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_62(iconst_0, o1, NULL, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_FieldAccess_62(iconst_0, o1, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_63(o1, NULL, iconst_0, env, static') :|: NULL = 0 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0 && 0 < o1
langle_clinit_rangle_Return_63(o1, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_64(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
main_FieldAccess_64(o1, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_66(o1, iconst_0, env, static') :|: static' <= static + o1 && NULL = 0 && 0 <= o1 && iconst_0 = 0 && 0 <= static && 0 < o1
main_InvokeMethod_66(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_67(o1, iconst_0, env, static) :|: iconst_0 = 0 && 0 < o1
random_FieldAccess_67(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_68(o1, iconst_0, env, static) :|: 0 <= o1 && o1 <= static && iconst_0 = 0 && 0 <= static && 0 < o1
random_FieldAccess_68(o1, iconst_0, env, static) -{1,1}> random_ArrayAccess_69(o1, iconst_0, env, static) :|: -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static && 0 < o1
random_ArrayAccess_69(a6, iconst_0, env, static) -{0,0}> random_ArrayAccess_70(a6, iconst_0, i5, env, static) :|: i5 < a6 && iconst_0 = 0 && 0 < a6 && 0 <= i5
random_ArrayAccess_70(a6, iconst_0, i6, env, static) -{0,0}> random_ArrayAccess_74(a6, iconst_0, i6, env, static) :|: 0 <= i6 && 1 <= i6 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_74(a6, iconst_0, i6, env, static) -{1,1}> random_Store_78(o7, a6, iconst_0, i6, env, static) :|: 1 <= i6 && o7 < a6 && iconst_0 = 0 && 0 <= o7 && 0 < a6
random_Store_78(o7, a6, iconst_0, i6, env, static) -{1,1}> random_FieldAccess_80(o7, a6, iconst_0, i6, env, static) :|: 1 <= i6 && iconst_0 = 0 && 0 <= o7 && 0 < a6
random_FieldAccess_80(o7, a6, iconst_0, i6, env, static) -{1,1}> random_ConstantStackPush_84(iconst_0, o7, a6, i6, env, static) :|: 1 <= i6 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= o7 && 0 <= static && 0 < a6 && iconst_0 <= static
random_ConstantStackPush_84(iconst_0, o7, a6, i6, env, static) -{1,1}> random_IntArithmetic_88(iconst_0, iconst_1, o7, a6, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && iconst_0 = 0 && 0 <= o7 && 0 < a6
random_IntArithmetic_88(iconst_0, iconst_1, o7, a6, i6, env, static) -{1,1}> random_FieldAccess_90(iconst_1, o7, a6, iconst_0, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && iconst_0 = 0 && 0 <= o7 && 0 < a6
random_FieldAccess_90(iconst_1, o7, a6, iconst_0, i6, env, static) -{1,1}> random_Load_94(o7, a6, iconst_1, i6, env, static') :|: 1 <= i6 && iconst_1 = 1 && iconst_0 = 0 && 0 <= o7 && 0 <= static && 0 < a6 && static' <= static + iconst_1
random_Load_94(o7, a6, iconst_1, i6, env, static) -{1,1}> random_InvokeMethod_100(o7, a6, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 <= o7 && 0 < a6
random_InvokeMethod_100(o12, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_102(o12, a6, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6
random_InvokeMethod_102(o12, a6, iconst_1, i6, env, static) -{1,1}> random_Return_106(i8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && i8 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_Return_106(i8, a6, iconst_1, i6, env, static) -{1,1}> main_Store_112(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_Store_112(a6, i8, iconst_1, i6, env, static) -{1,1}> main_InvokeMethod_116(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_InvokeMethod_116(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_137(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_FieldAccess_137(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_141(a6, i8, iconst_1, i6, env, static) :|: 0 <= a6 && 1 <= i6 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8
random_FieldAccess_141(a6, i8, iconst_1, i6, env, static) -{1,1}> random_ArrayAccess_143(a6, iconst_1, i8, i6, env, static) :|: -1 * static <= iconst_1 && 1 <= i6 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8
random_ArrayAccess_143(a6, iconst_1, i8, i12, env, static) -{0,0}> random_ArrayAccess_152(a6, iconst_1, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i12
random_ArrayAccess_152(a6, iconst_1, i8, i12, env, static) -{1,1}> random_Store_161(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && o25 < a6 && 0 < a6 && 0 <= i8 && 0 <= o25
random_Store_161(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_FieldAccess_164(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_FieldAccess_164(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_ConstantStackPush_174(iconst_1, o25, a6, i8, i12, env, static) :|: -1 * static <= iconst_1 && 2 <= i12 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8 && 0 <= o25
random_ConstantStackPush_174(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_IntArithmetic_185(iconst_1, o25, a6, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_IntArithmetic_185(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_FieldAccess_189(iconst_2, o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2
random_FieldAccess_189(iconst_2, o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_Load_202(o25, a6, i8, iconst_2, i12, env, static') :|: 2 <= i12 && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2 && static' <= static + iconst_2
random_Load_202(o25, a6, i8, iconst_2, i12, env, static) -{1,1}> random_InvokeMethod_225(o25, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2
random_InvokeMethod_225(o52, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_232(o52, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < o52 && 0 < a6 && 0 <= i8 && 0 <= o52 && iconst_2 = 2
random_InvokeMethod_232(o52, a6, i8, iconst_2, i12, env, static) -{1,1}> random_Return_245(i21, a6, i8, iconst_2, i12, env, static) :|: 0 <= i21 && i21 <= o52 && 2 <= i12 && 0 < o52 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_Return_245(i21, a6, i8, iconst_2, i12, env, static) -{1,1}> main_Store_256(a6, i21, i8, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Store_256(a6, i21, i8, iconst_2, i12, env, static) -{1,1}> main_InvokeMethod_260(a6, i8, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_InvokeMethod_260(a6, i8, i21, iconst_2, i12, env, static) -{1,1}> random_FieldAccess_286(a6, i8, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_286(a6, i8, i21, iconst_2, i12, env, static) -{1,1}> random_FieldAccess_307(a6, i8, i21, iconst_2, i12, env, static) :|: 0 <= a6 && 0 <= i21 && 2 <= i12 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_307(a6, i8, i21, iconst_2, i12, env, static) -{1,1}> random_ArrayAccess_310(a6, iconst_2, i8, i21, i12, env, static) :|: -1 * static <= iconst_2 && 0 <= i21 && 2 <= i12 && iconst_2 <= static && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ArrayAccess_310(a6, iconst_2, i8, i21, i33, env, static) -{0,0}> random_ArrayAccess_315(a6, iconst_2, i8, i21, i33, env, static) :|: 3 <= i33 && 0 <= i21 && 2 <= i33 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ArrayAccess_315(a6, iconst_2, i8, i21, i33, env, static) -{1,1}> random_Store_320(o95, a6, i8, i21, iconst_2, i33, env, static) :|: 0 <= o95 && 3 <= i33 && 0 <= i21 && o95 < a6 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_Store_320(o95, a6, i8, i21, iconst_2, i33, env, static) -{1,1}> random_FieldAccess_323(o95, a6, i8, i21, iconst_2, i33, env, static) :|: 0 <= o95 && 3 <= i33 && 0 <= i21 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_323(o95, a6, i8, i21, iconst_2, i33, env, static) -{1,1}> random_ConstantStackPush_328(iconst_2, o95, a6, i8, i21, i33, env, static) :|: 0 <= o95 && -1 * static <= iconst_2 && 3 <= i33 && 0 <= i21 && iconst_2 <= static && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ConstantStackPush_328(iconst_2, o95, a6, i8, i21, i33, env, static) -{1,1}> random_IntArithmetic_332(iconst_2, iconst_1, o95, a6, i8, i21, i33, env, static) :|: 0 <= o95 && 3 <= i33 && 0 <= i21 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_IntArithmetic_332(iconst_2, iconst_1, o95, a6, i8, i21, i33, env, static) -{1,1}> random_FieldAccess_334(iconst_3, o95, a6, i8, i21, iconst_2, i33, env, static) :|: 0 <= o95 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_334(iconst_3, o95, a6, i8, i21, iconst_2, i33, env, static) -{1,1}> random_Load_338(o95, a6, i8, i21, iconst_3, i33, env, static') :|: 0 <= o95 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2 && static' <= static + iconst_3
random_Load_338(o95, a6, i8, i21, iconst_3, i33, env, static) -{1,1}> random_InvokeMethod_342(o95, a6, i8, i21, iconst_3, i33, env, static) :|: 0 <= o95 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 < a6 && 0 <= i8
random_InvokeMethod_342(o191, a6, i8, i21, iconst_3, i33, env, static) -{0,0}> random_InvokeMethod_345(o191, a6, i8, i21, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 < a6 && 0 < o191 && 0 <= i8 && 0 <= o191
random_InvokeMethod_345(o191, a6, i8, i21, iconst_3, i33, env, static) -{1,1}> random_Return_350(i88, a6, i8, i21, iconst_3, i33, env, static) :|: i88 <= o191 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 < o191 && 0 <= i8
random_Return_350(i88, a6, i8, i21, iconst_3, i33, env, static) -{1,1}> main_Store_355(a6, i88, i8, i21, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 <= i8
main_Store_355(a6, i88, i8, i21, iconst_3, i33, env, static) -{1,1}> main_Load_359(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 <= i8

obtained
main_Load_359(a6, i8, i21, i88, 3, i33, env, static) -{5,5}> main_GE_402(a6, i8, i88, i21, 3, i33, env, static) :|: i8 < i21 && 0 <= i8 && 0 <= i88 && 0 < a6 && 3 <= i33 && 0 <= i21 && 1 <= i21
by chaining
main_Load_359(a6, i8, i21, i88, iconst_3, i33, env, static) -{1,1}> main_Load_363(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 <= i8
main_Load_363(a6, i8, i21, i88, iconst_3, i33, env, static) -{1,1}> main_GE_368(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 <= i8
main_GE_368(a6, i8, i21, i88, iconst_3, i33, env, static) -{0,0}> main_GE_374(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && i8 < i21 && 0 < a6 && 0 <= i8
main_GE_374(a6, i8, i21, i88, iconst_3, i33, env, static) -{1,1}> main_Load_382(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 1 <= i21 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && i8 < i21 && 0 < a6 && 0 <= i8
main_Load_382(a6, i8, i21, i88, iconst_3, i33, env, static) -{1,1}> main_Load_398(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 1 <= i21 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 <= i8
main_Load_398(a6, i8, i21, i88, iconst_3, i33, env, static) -{1,1}> main_GE_402(a6, i8, i88, i21, iconst_3, i33, env, static) :|: 1 <= i21 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 <= i8

obtained
main_GE_402(a6, i8, i88, i21, 3, i33, env, static) -{3,3}> main_Load_359(a6, i100', i21, i88, 3, i33, env, static) :|: i8 + 1 = i100' && 0 < a6 && 0 <= i8 && 1 <= i100' && 1 <= i88 && 0 <= i100' && 1 <= i21 && 0 <= i88 && 3 <= i33 && 0 <= i21 && i8 < i88
by chaining
main_GE_402(a6, i8, i88, i21, iconst_3, i33, env, static) -{0,0}> main_GE_411(a6, i8, i88, i21, iconst_3, i33, env, static) :|: 1 <= i21 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && i8 < i88 && 0 < a6 && 0 <= i8
main_GE_411(a6, i8, i88, i21, iconst_3, i33, env, static) -{1,1}> main_Inc_425(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 1 <= i21 && 1 <= i88 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && i8 < i88 && 0 < a6 && 0 <= i8
main_Inc_425(a6, i8, i21, i88, iconst_3, i33, env, static) -{1,1}> main_JMP_439(a6, i100, i21, i88, iconst_3, i33, env, static) :|: 1 <= i21 && 1 <= i88 && 3 <= i33 && iconst_3 = 3 && 1 <= i100 && 0 < a6 && 0 <= i8 && i8 + 1 = i100
main_JMP_439(a6, i100, i21, i88, iconst_3, i33, env, static) -{1,1}> main_Load_447(a6, i100, i21, i88, iconst_3, i33, env, static) :|: 1 <= i21 && 1 <= i88 && 3 <= i33 && iconst_3 = 3 && 1 <= i100 && 0 < a6
main_Load_447(a6, i100, i21, i88, iconst_3, i33, env, static) -{0,0}> main_Load_359(a6, i100, i21, i88, iconst_3, i33, env, static) :|: 1 <= i21 && 1 <= i88 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && 0 <= i100 && 1 <= i100 && 0 < a6

obtained
main_GE_402(a6, i8, i88, i21, 3, i33, env, static) -{3,3}> main_Load_359(a6, i8, i21, i99', 3, i33, env, static) :|: 3 <= i33 && 1 <= i99' && 1 <= i21 && 0 <= i8 && i88 + 1 = i99' && 0 <= i99' && 0 <= i88 && 0 < a6 && i88 <= i8 && 0 <= i21
by chaining
main_GE_402(a6, i8, i88, i21, iconst_3, i33, env, static) -{0,0}> main_GE_410(a6, i8, i88, i21, iconst_3, i33, env, static) :|: 1 <= i21 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && i88 <= i8 && 0 < a6 && 0 <= i8
main_GE_410(a6, i8, i88, i21, iconst_3, i33, env, static) -{1,1}> main_Inc_420(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 1 <= i21 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && i88 <= i8 && 0 < a6 && 0 <= i8
main_Inc_420(a6, i8, i21, i88, iconst_3, i33, env, static) -{1,1}> main_JMP_436(a6, i8, i21, i99, iconst_3, i33, env, static) :|: 1 <= i21 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 <= i8 && i88 + 1 = i99 && 1 <= i99
main_JMP_436(a6, i8, i21, i99, iconst_3, i33, env, static) -{1,1}> main_Load_442(a6, i8, i21, i99, iconst_3, i33, env, static) :|: 1 <= i21 && 3 <= i33 && iconst_3 = 3 && 0 < a6 && 0 <= i8 && 1 <= i99
main_Load_442(a6, i8, i21, i99, iconst_3, i33, env, static) -{0,0}> main_Load_359(a6, i8, i21, i99, iconst_3, i33, env, static) :|: 1 <= i21 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 < a6 && 0 <= i99 && 0 <= i8 && 1 <= i99

(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) -{59,59}> main_Load_359(o1, i8', i21', i88', 3, i5', env, static'6) :|: 1 <= i5' && 0 <= i8' && static'5 <= static'4 + 2 && 0 < o1 && 0 < o95' && 0 <= i88' && 0 <= o25' && static'1 <= static''' + 1 && 3 <= i5' && 0 <= i21' && o95' < o1 && 2 <= static'5 && 0 <= 2 && i88' <= o95' && -1 * static'5 <= 2 && 0 <= static'2 && i5' < o1 && o1 <= static'4 && 0 <= static'4 && 0 < o7' && o7' < o1 && i8' <= o7' && static'2 <= static'1 + 0 && -1 * static'3 <= 0 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && 0 <= static''' && 0 < 2 && 0 <= static'3 && -1 * static'4 <= 1 && 0 <= o7' && i21' <= o25' && 0 <= o1 && 1 <= static'4 && 0 <= i5' && o1 <= static'5 && 0 < o25' && 0 <= static'5 && 2 <= i5' && o25' < o1 && 0 <= 1 && 0 < 1 && static'4 <= static'3 + 1 && static'6 <= static'5 + 3 && 0 <= o95'
main_Load_359(a6, i8, i21, i88, 3, i33, env, static) -{5,5}> main_GE_402(a6, i8, i88, i21, 3, i33, env, static) :|: i8 < i21 && 0 <= i8 && 0 <= i88 && 0 < a6 && 3 <= i33 && 0 <= i21 && 1 <= i21
main_GE_402(a6, i8, i88, i21, 3, i33, env, static) -{3,3}> main_Load_359(a6, i100', i21, i88, 3, i33, env, static) :|: i8 + 1 = i100' && 0 < a6 && 0 <= i8 && 1 <= i100' && 1 <= i88 && 0 <= i100' && 1 <= i21 && 0 <= i88 && 3 <= i33 && 0 <= i21 && i8 < i88
main_GE_402(a6, i8, i88, i21, 3, i33, env, static) -{3,3}> main_Load_359(a6, i8, i21, i99', 3, i33, env, static) :|: 3 <= i33 && 1 <= i99' && 1 <= i21 && 0 <= i8 && i88 + 1 = i99' && 0 <= i99' && 0 <= i88 && 0 < a6 && i88 <= i8 && 0 <= i21

(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_359(x1, x2, x3, x4, x5, x6, x7, x8) → main_Load_359(x1, x2, x3, x4, x6)
main_GE_402(x1, x2, x3, x4, x5, x6, x7, x8) → main_GE_402(x1, x2, x3, x4, x6)

(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) -{59,59}> main_Load_359(o1, i8', i21', i88', i5') :|: 1 <= i5' && 0 <= i8' && static'5 <= static'4 + 2 && 0 < o1 && 0 < o95' && 0 <= i88' && 0 <= o25' && static'1 <= static''' + 1 && 3 <= i5' && 0 <= i21' && o95' < o1 && 2 <= static'5 && 0 <= 2 && i88' <= o95' && -1 * static'5 <= 2 && 0 <= static'2 && i5' < o1 && o1 <= static'4 && 0 <= static'4 && 0 < o7' && o7' < o1 && i8' <= o7' && static'2 <= static'1 + 0 && -1 * static'3 <= 0 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && 0 <= static''' && 0 < 2 && 0 <= static'3 && -1 * static'4 <= 1 && 0 <= o7' && i21' <= o25' && 0 <= o1 && 1 <= static'4 && 0 <= i5' && o1 <= static'5 && 0 < o25' && 0 <= static'5 && 2 <= i5' && o25' < o1 && 0 <= 1 && 0 < 1 && static'4 <= static'3 + 1 && static'6 <= static'5 + 3 && 0 <= o95'
main_Load_359(a6, i8, i21, i88, i33) -{5,5}> main_GE_402(a6, i8, i88, i21, i33) :|: i8 < i21 && 0 <= i8 && 0 <= i88 && 0 < a6 && 3 <= i33 && 0 <= i21 && 1 <= i21
main_GE_402(a6, i8, i88, i21, i33) -{3,3}> main_Load_359(a6, i100', i21, i88, i33) :|: i8 + 1 = i100' && 0 < a6 && 0 <= i8 && 1 <= i100' && 1 <= i88 && 0 <= i100' && 1 <= i21 && 0 <= i88 && 3 <= i33 && 0 <= i21 && i8 < i88
main_GE_402(a6, i8, i88, i21, i33) -{3,3}> main_Load_359(a6, i8, i21, i99', i33) :|: 3 <= i33 && 1 <= i99' && 1 <= i21 && 0 <= i8 && i88 + 1 = i99' && 0 <= i99' && 0 <= i88 && 0 < a6 && i88 <= i8 && 0 <= i21

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

Moved arithmethic from constraints to rhss.

main_GE_402(a6, i8, i88, i21, i33) -{3,3}> main_Load_359(a6, i100', i21, i88, i33) :|: i8 + 1 = i100' && 0 < a6 && 0 <= i8 && 1 <= i100' && 1 <= i88 && 0 <= i100' && 1 <= i21 && 0 <= i88 && 3 <= i33 && 0 <= i21 && i8 < i88
was transformed to
main_GE_402(a6, i8, i88, i21, i33) -{3,3}> main_Load_359(a6, i8 + 1, i21, i88, i33) :|: i8 + 1 = i100' && 0 < a6 && 0 <= i8 && 1 <= i100' && 1 <= i88 && 0 <= i100' && 1 <= i21 && 0 <= i88 && 3 <= i33 && 0 <= i21 && i8 < i88

main_GE_402(a6, i8, i88, i21, i33) -{3,3}> main_Load_359(a6, i8, i21, i99', i33) :|: 3 <= i33 && 1 <= i99' && 1 <= i21 && 0 <= i8 && i88 + 1 = i99' && 0 <= i99' && 0 <= i88 && 0 < a6 && i88 <= i8 && 0 <= i21
was transformed to
main_GE_402(a6, i8, i88, i21, i33) -{3,3}> main_Load_359(a6, i8, i21, i88 + 1, i33) :|: 3 <= i33 && 1 <= i99' && 1 <= i21 && 0 <= i8 && i88 + 1 = i99' && 0 <= i99' && 0 <= i88 && 0 < a6 && i88 <= i8 && 0 <= i21

(12) Obligation:

IntTrs with 4 rules
Start term: main_Load_2(args, static)
Considered paths: all paths from start
Rules:
main_Load_359(a6, i8, i21, i88, i33) -{5,5}> main_GE_402(a6, i8, i88, i21, i33) :|: i8 < i21 && 0 <= i8 && 0 <= i88 && 0 < a6 && 3 <= i33 && 0 <= i21 && 1 <= i21
main_GE_402(a6, i8, i88, i21, i33) -{3,3}> main_Load_359(a6, i8 + 1, i21, i88, i33) :|: i8 + 1 = i100' && 0 < a6 && 0 <= i8 && 1 <= i100' && 1 <= i88 && 0 <= i100' && 1 <= i21 && 0 <= i88 && 3 <= i33 && 0 <= i21 && i8 < i88
main_Load_2(o1, static) -{59,59}> main_Load_359(o1, i8', i21', i88', i5') :|: 1 <= i5' && 0 <= i8' && static'5 <= static'4 + 2 && 0 < o1 && 0 < o95' && 0 <= i88' && 0 <= o25' && static'1 <= static''' + 1 && 3 <= i5' && 0 <= i21' && o95' < o1 && 2 <= static'5 && 0 <= 2 && i88' <= o95' && -1 * static'5 <= 2 && 0 <= static'2 && i5' < o1 && o1 <= static'4 && 0 <= static'4 && 0 < o7' && o7' < o1 && i8' <= o7' && static'2 <= static'1 + 0 && -1 * static'3 <= 0 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && 0 <= static''' && 0 < 2 && 0 <= static'3 && -1 * static'4 <= 1 && 0 <= o7' && i21' <= o25' && 0 <= o1 && 1 <= static'4 && 0 <= i5' && o1 <= static'5 && 0 < o25' && 0 <= static'5 && 2 <= i5' && o25' < o1 && 0 <= 1 && 0 < 1 && static'4 <= static'3 + 1 && static'6 <= static'5 + 3 && 0 <= o95'
main_GE_402(a6, i8, i88, i21, i33) -{3,3}> main_Load_359(a6, i8, i21, i88 + 1, i33) :|: 3 <= i33 && 1 <= i99' && 1 <= i21 && 0 <= i8 && i88 + 1 = i99' && 0 <= i99' && 0 <= i88 && 0 < a6 && i88 <= i8 && 0 <= i21

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

Simplified expressions.

main_Load_2(o1, static) -{59,59}> main_Load_359(o1, i8', i21', i88', i5') :|: 1 <= i5' && 0 <= i8' && static'5 <= static'4 + 2 && 0 < o1 && 0 < o95' && 0 <= i88' && 0 <= o25' && static'1 <= static''' + 1 && 3 <= i5' && 0 <= i21' && o95' < o1 && 2 <= static'5 && 0 <= 2 && i88' <= o95' && -1 * static'5 <= 2 && 0 <= static'2 && i5' < o1 && o1 <= static'4 && 0 <= static'4 && 0 < o7' && o7' < o1 && i8' <= o7' && static'2 <= static'1 + 0 && -1 * static'3 <= 0 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && 0 <= static''' && 0 < 2 && 0 <= static'3 && -1 * static'4 <= 1 && 0 <= o7' && i21' <= o25' && 0 <= o1 && 1 <= static'4 && 0 <= i5' && o1 <= static'5 && 0 < o25' && 0 <= static'5 && 2 <= i5' && o25' < o1 && 0 <= 1 && 0 < 1 && static'4 <= static'3 + 1 && static'6 <= static'5 + 3 && 0 <= o95'
was transformed to
main_Load_2(o1, static) -{59,59}> main_Load_359(o1, i8', i21', i88', i5') :|: 1 <= i5' && 0 <= i8' && static'5 <= static'4 + 2 && 0 < o1 && 0 < o95' && 0 <= i88' && static'1 <= static''' + 1 && 3 <= i5' && 0 <= i21' && o95' < o1 && 2 <= static'5 && i88' <= o95' && -1 * static'5 <= 2 && 0 <= static'2 && i5' < o1 && o1 <= static'4 && 0 <= static'4 && 0 < o7' && o7' < o1 && i8' <= o7' && static'2 <= static'1 && -1 * static'3 <= 0 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && 0 <= static''' && 0 <= static'3 && -1 * static'4 <= 1 && i21' <= o25' && 1 <= static'4 && 0 <= i5' && o1 <= static'5 && 0 < o25' && 0 <= static'5 && 2 <= i5' && o25' < o1 && static'4 <= static'3 + 1 && static'6 <= static'5 + 3

(14) Obligation:

IntTrs with 4 rules
Start term: main_Load_2(args, static)
Considered paths: all paths from start
Rules:
main_GE_402(a6, i8, i88, i21, i33) -{3,3}> main_Load_359(a6, i8 + 1, i21, i88, i33) :|: i8 + 1 = i100' && 0 < a6 && 0 <= i8 && 1 <= i100' && 1 <= i88 && 0 <= i100' && 1 <= i21 && 0 <= i88 && 3 <= i33 && 0 <= i21 && i8 < i88
main_Load_359(a6, i8, i21, i88, i33) -{5,5}> main_GE_402(a6, i8, i88, i21, i33) :|: i8 < i21 && 0 <= i8 && 0 <= i88 && 0 < a6 && 3 <= i33 && 0 <= i21 && 1 <= i21
main_GE_402(a6, i8, i88, i21, i33) -{3,3}> main_Load_359(a6, i8, i21, i88 + 1, i33) :|: 3 <= i33 && 1 <= i99' && 1 <= i21 && 0 <= i8 && i88 + 1 = i99' && 0 <= i99' && 0 <= i88 && 0 < a6 && i88 <= i8 && 0 <= i21
main_Load_2(o1, static) -{59,59}> main_Load_359(o1, i8', i21', i88', i5') :|: 1 <= i5' && 0 <= i8' && static'5 <= static'4 + 2 && 0 < o1 && 0 < o95' && 0 <= i88' && static'1 <= static''' + 1 && 3 <= i5' && 0 <= i21' && o95' < o1 && 2 <= static'5 && i88' <= o95' && -1 * static'5 <= 2 && 0 <= static'2 && i5' < o1 && o1 <= static'4 && 0 <= static'4 && 0 < o7' && o7' < o1 && i8' <= o7' && static'2 <= static'1 && -1 * static'3 <= 0 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && 0 <= static''' && 0 <= static'3 && -1 * static'4 <= 1 && i21' <= o25' && 1 <= static'4 && 0 <= i5' && o1 <= static'5 && 0 < o25' && 0 <= static'5 && 2 <= i5' && o25' < o1 && static'4 <= static'3 + 1 && static'6 <= static'5 + 3

(15) koat Proof (EQUIVALENT transformation)

YES(?, 44*ar_0 + 59)

Initial complexity problem:
1: T:
(Comp: ?, Cost: 3) main_GE_402(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_359(ar_0, ar_1 + 1, ar_3, ar_2, ar_4)) [ ar_1 + 1 = i100' /\ 0 < ar_0 /\ 0 <= ar_1 /\ 1 <= i100' /\ 1 <= ar_2 /\ 0 <= i100' /\ 1 <= ar_3 /\ 0 <= ar_2 /\ 3 <= ar_4 /\ 0 <= ar_3 /\ ar_1 < ar_2 ]
(Comp: ?, Cost: 5) main_Load_359(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_GE_402(ar_0, ar_1, ar_3, ar_2, ar_4)) [ ar_1 < ar_2 /\ 0 <= ar_1 /\ 0 <= ar_3 /\ 0 < ar_0 /\ 3 <= ar_4 /\ 0 <= ar_2 /\ 1 <= ar_2 ]
(Comp: ?, Cost: 3) main_GE_402(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_359(ar_0, ar_1, ar_3, ar_2 + 1, ar_4)) [ 3 <= ar_4 /\ 1 <= i99' /\ 1 <= ar_3 /\ 0 <= ar_1 /\ ar_2 + 1 = i99' /\ 0 <= i99' /\ 0 <= ar_2 /\ 0 < ar_0 /\ ar_2 <= ar_1 /\ 0 <= ar_3 ]
(Comp: ?, Cost: 59) main_Load_2(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_359(ar_0, i8', i21', i88', i5')) [ 1 <= i5' /\ 0 <= i8' /\ static'5 <= static'4 + 2 /\ 0 < ar_0 /\ 0 < o95' /\ 0 <= i88' /\ static'1 <= static''' + 1 /\ 3 <= i5' /\ 0 <= i21' /\ o95' < ar_0 /\ 2 <= static'5 /\ i88' <= o95' /\ -static'5 <= 2 /\ 0 <= static'2 /\ i5' < ar_0 /\ ar_0 <= static'4 /\ 0 <= static'4 /\ 0 < o7' /\ o7' < ar_0 /\ i8' <= o7' /\ static'2 <= static'1 /\ -static'3 <= 0 /\ ar_0 <= static'3 /\ static''' <= ar_1 + 2 /\ 0 <= static'1 /\ static'3 <= static'2 + ar_0 /\ 0 <= ar_1 /\ 0 <= static''' /\ 0 <= static'3 /\ -static'4 <= 1 /\ i21' <= o25' /\ 1 <= static'4 /\ 0 <= i5' /\ ar_0 <= static'5 /\ 0 < o25' /\ 0 <= static'5 /\ 2 <= i5' /\ o25' < ar_0 /\ static'4 <= static'3 + 1 /\ static'6 <= static'5 + 3 ]
(Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_2(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
start location: koat_start
leaf cost: 0

Repeatedly propagating knowledge in problem 1 produces the following problem:
2: T:
(Comp: ?, Cost: 3) main_GE_402(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_359(ar_0, ar_1 + 1, ar_3, ar_2, ar_4)) [ ar_1 + 1 = i100' /\ 0 < ar_0 /\ 0 <= ar_1 /\ 1 <= i100' /\ 1 <= ar_2 /\ 0 <= i100' /\ 1 <= ar_3 /\ 0 <= ar_2 /\ 3 <= ar_4 /\ 0 <= ar_3 /\ ar_1 < ar_2 ]
(Comp: ?, Cost: 5) main_Load_359(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_GE_402(ar_0, ar_1, ar_3, ar_2, ar_4)) [ ar_1 < ar_2 /\ 0 <= ar_1 /\ 0 <= ar_3 /\ 0 < ar_0 /\ 3 <= ar_4 /\ 0 <= ar_2 /\ 1 <= ar_2 ]
(Comp: ?, Cost: 3) main_GE_402(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_359(ar_0, ar_1, ar_3, ar_2 + 1, ar_4)) [ 3 <= ar_4 /\ 1 <= i99' /\ 1 <= ar_3 /\ 0 <= ar_1 /\ ar_2 + 1 = i99' /\ 0 <= i99' /\ 0 <= ar_2 /\ 0 < ar_0 /\ ar_2 <= ar_1 /\ 0 <= ar_3 ]
(Comp: 1, Cost: 59) main_Load_2(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_359(ar_0, i8', i21', i88', i5')) [ 1 <= i5' /\ 0 <= i8' /\ static'5 <= static'4 + 2 /\ 0 < ar_0 /\ 0 < o95' /\ 0 <= i88' /\ static'1 <= static''' + 1 /\ 3 <= i5' /\ 0 <= i21' /\ o95' < ar_0 /\ 2 <= static'5 /\ i88' <= o95' /\ -static'5 <= 2 /\ 0 <= static'2 /\ i5' < ar_0 /\ ar_0 <= static'4 /\ 0 <= static'4 /\ 0 < o7' /\ o7' < ar_0 /\ i8' <= o7' /\ static'2 <= static'1 /\ -static'3 <= 0 /\ ar_0 <= static'3 /\ static''' <= ar_1 + 2 /\ 0 <= static'1 /\ static'3 <= static'2 + ar_0 /\ 0 <= ar_1 /\ 0 <= static''' /\ 0 <= static'3 /\ -static'4 <= 1 /\ i21' <= o25' /\ 1 <= static'4 /\ 0 <= i5' /\ ar_0 <= static'5 /\ 0 < o25' /\ 0 <= static'5 /\ 2 <= i5' /\ o25' < ar_0 /\ static'4 <= static'3 + 1 /\ static'6 <= static'5 + 3 ]
(Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_2(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
start location: koat_start
leaf cost: 0

Applied AI with 'oct' on problem 2 to obtain the following invariants:
For symbol main_GE_402: X_1 - X_5 - 1 >= 0 /\ X_5 - 3 >= 0 /\ X_4 + X_5 - 4 >= 0 /\ X_3 + X_5 - 3 >= 0 /\ X_2 + X_5 - 3 >= 0 /\ X_1 + X_5 - 7 >= 0 /\ X_1 - X_4 - 1 >= 0 /\ X_4 - 1 >= 0 /\ X_3 + X_4 - 1 >= 0 /\ X_2 + X_4 - 1 >= 0 /\ -X_2 + X_4 - 1 >= 0 /\ X_1 + X_4 - 5 >= 0 /\ X_1 - X_3 - 1 >= 0 /\ X_3 >= 0 /\ X_2 + X_3 >= 0 /\ X_1 + X_3 - 4 >= 0 /\ X_1 - X_2 - 2 >= 0 /\ X_2 >= 0 /\ X_1 + X_2 - 4 >= 0 /\ X_1 - 4 >= 0
For symbol main_Load_359: X_1 - X_5 - 1 >= 0 /\ X_5 - 3 >= 0 /\ X_4 + X_5 - 3 >= 0 /\ X_3 + X_5 - 3 >= 0 /\ X_2 + X_5 - 3 >= 0 /\ X_1 + X_5 - 7 >= 0 /\ X_1 - X_4 - 1 >= 0 /\ X_4 >= 0 /\ X_3 + X_4 >= 0 /\ X_2 + X_4 >= 0 /\ X_1 + X_4 - 4 >= 0 /\ X_1 - X_3 - 1 >= 0 /\ X_3 >= 0 /\ X_2 + X_3 >= 0 /\ X_1 + X_3 - 4 >= 0 /\ X_1 - X_2 - 1 >= 0 /\ X_2 >= 0 /\ X_1 + X_2 - 4 >= 0 /\ X_1 - 4 >= 0


This yielded the following problem:
3: T:
(Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_2(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
(Comp: 1, Cost: 59) main_Load_2(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_359(ar_0, i8', i21', i88', i5')) [ 1 <= i5' /\ 0 <= i8' /\ static'5 <= static'4 + 2 /\ 0 < ar_0 /\ 0 < o95' /\ 0 <= i88' /\ static'1 <= static''' + 1 /\ 3 <= i5' /\ 0 <= i21' /\ o95' < ar_0 /\ 2 <= static'5 /\ i88' <= o95' /\ -static'5 <= 2 /\ 0 <= static'2 /\ i5' < ar_0 /\ ar_0 <= static'4 /\ 0 <= static'4 /\ 0 < o7' /\ o7' < ar_0 /\ i8' <= o7' /\ static'2 <= static'1 /\ -static'3 <= 0 /\ ar_0 <= static'3 /\ static''' <= ar_1 + 2 /\ 0 <= static'1 /\ static'3 <= static'2 + ar_0 /\ 0 <= ar_1 /\ 0 <= static''' /\ 0 <= static'3 /\ -static'4 <= 1 /\ i21' <= o25' /\ 1 <= static'4 /\ 0 <= i5' /\ ar_0 <= static'5 /\ 0 < o25' /\ 0 <= static'5 /\ 2 <= i5' /\ o25' < ar_0 /\ static'4 <= static'3 + 1 /\ static'6 <= static'5 + 3 ]
(Comp: ?, Cost: 3) main_GE_402(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_359(ar_0, ar_1, ar_3, ar_2 + 1, ar_4)) [ ar_0 - ar_4 - 1 >= 0 /\ ar_4 - 3 >= 0 /\ ar_3 + ar_4 - 4 >= 0 /\ ar_2 + ar_4 - 3 >= 0 /\ ar_1 + ar_4 - 3 >= 0 /\ ar_0 + ar_4 - 7 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ -ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 5 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 >= 0 /\ ar_0 + ar_2 - 4 >= 0 /\ ar_0 - ar_1 - 2 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ ar_0 - 4 >= 0 /\ 3 <= ar_4 /\ 1 <= i99' /\ 1 <= ar_3 /\ 0 <= ar_1 /\ ar_2 + 1 = i99' /\ 0 <= i99' /\ 0 <= ar_2 /\ 0 < ar_0 /\ ar_2 <= ar_1 /\ 0 <= ar_3 ]
(Comp: ?, Cost: 5) main_Load_359(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_GE_402(ar_0, ar_1, ar_3, ar_2, ar_4)) [ ar_0 - ar_4 - 1 >= 0 /\ ar_4 - 3 >= 0 /\ ar_3 + ar_4 - 3 >= 0 /\ ar_2 + ar_4 - 3 >= 0 /\ ar_1 + ar_4 - 3 >= 0 /\ ar_0 + ar_4 - 7 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 >= 0 /\ ar_1 + ar_3 >= 0 /\ ar_0 + ar_3 - 4 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 >= 0 /\ ar_0 + ar_2 - 4 >= 0 /\ ar_0 - ar_1 - 1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ ar_0 - 4 >= 0 /\ ar_1 < ar_2 /\ 0 <= ar_1 /\ 0 <= ar_3 /\ 0 < ar_0 /\ 3 <= ar_4 /\ 0 <= ar_2 /\ 1 <= ar_2 ]
(Comp: ?, Cost: 3) main_GE_402(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_359(ar_0, ar_1 + 1, ar_3, ar_2, ar_4)) [ ar_0 - ar_4 - 1 >= 0 /\ ar_4 - 3 >= 0 /\ ar_3 + ar_4 - 4 >= 0 /\ ar_2 + ar_4 - 3 >= 0 /\ ar_1 + ar_4 - 3 >= 0 /\ ar_0 + ar_4 - 7 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ -ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 5 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 >= 0 /\ ar_0 + ar_2 - 4 >= 0 /\ ar_0 - ar_1 - 2 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ ar_0 - 4 >= 0 /\ ar_1 + 1 = i100' /\ 0 < ar_0 /\ 0 <= ar_1 /\ 1 <= i100' /\ 1 <= ar_2 /\ 0 <= i100' /\ 1 <= ar_3 /\ 0 <= ar_2 /\ 3 <= ar_4 /\ 0 <= ar_3 /\ ar_1 < ar_2 ]
start location: koat_start
leaf cost: 0

A polynomial rank function with
Pol(koat_start) = 4*V_1
Pol(main_Load_2) = 4*V_1
Pol(main_Load_359) = 2*V_1 - 2*V_2 + 2*V_3 - 2*V_4
Pol(main_GE_402) = 2*V_1 - 2*V_2 - 2*V_3 + 2*V_4 - 1
orients all transitions weakly and the transitions
main_Load_359(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_GE_402(ar_0, ar_1, ar_3, ar_2, ar_4)) [ ar_0 - ar_4 - 1 >= 0 /\ ar_4 - 3 >= 0 /\ ar_3 + ar_4 - 3 >= 0 /\ ar_2 + ar_4 - 3 >= 0 /\ ar_1 + ar_4 - 3 >= 0 /\ ar_0 + ar_4 - 7 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 >= 0 /\ ar_1 + ar_3 >= 0 /\ ar_0 + ar_3 - 4 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 >= 0 /\ ar_0 + ar_2 - 4 >= 0 /\ ar_0 - ar_1 - 1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ ar_0 - 4 >= 0 /\ ar_1 < ar_2 /\ 0 <= ar_1 /\ 0 <= ar_3 /\ 0 < ar_0 /\ 3 <= ar_4 /\ 0 <= ar_2 /\ 1 <= ar_2 ]
main_GE_402(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_359(ar_0, ar_1 + 1, ar_3, ar_2, ar_4)) [ ar_0 - ar_4 - 1 >= 0 /\ ar_4 - 3 >= 0 /\ ar_3 + ar_4 - 4 >= 0 /\ ar_2 + ar_4 - 3 >= 0 /\ ar_1 + ar_4 - 3 >= 0 /\ ar_0 + ar_4 - 7 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ -ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 5 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 >= 0 /\ ar_0 + ar_2 - 4 >= 0 /\ ar_0 - ar_1 - 2 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ ar_0 - 4 >= 0 /\ ar_1 + 1 = i100' /\ 0 < ar_0 /\ 0 <= ar_1 /\ 1 <= i100' /\ 1 <= ar_2 /\ 0 <= i100' /\ 1 <= ar_3 /\ 0 <= ar_2 /\ 3 <= ar_4 /\ 0 <= ar_3 /\ ar_1 < ar_2 ]
main_GE_402(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_359(ar_0, ar_1, ar_3, ar_2 + 1, ar_4)) [ ar_0 - ar_4 - 1 >= 0 /\ ar_4 - 3 >= 0 /\ ar_3 + ar_4 - 4 >= 0 /\ ar_2 + ar_4 - 3 >= 0 /\ ar_1 + ar_4 - 3 >= 0 /\ ar_0 + ar_4 - 7 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ -ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 5 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 >= 0 /\ ar_0 + ar_2 - 4 >= 0 /\ ar_0 - ar_1 - 2 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ ar_0 - 4 >= 0 /\ 3 <= ar_4 /\ 1 <= i99' /\ 1 <= ar_3 /\ 0 <= ar_1 /\ ar_2 + 1 = i99' /\ 0 <= i99' /\ 0 <= ar_2 /\ 0 < ar_0 /\ ar_2 <= ar_1 /\ 0 <= ar_3 ]
strictly and produces the following problem:
4: T:
(Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_2(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
(Comp: 1, Cost: 59) main_Load_2(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_359(ar_0, i8', i21', i88', i5')) [ 1 <= i5' /\ 0 <= i8' /\ static'5 <= static'4 + 2 /\ 0 < ar_0 /\ 0 < o95' /\ 0 <= i88' /\ static'1 <= static''' + 1 /\ 3 <= i5' /\ 0 <= i21' /\ o95' < ar_0 /\ 2 <= static'5 /\ i88' <= o95' /\ -static'5 <= 2 /\ 0 <= static'2 /\ i5' < ar_0 /\ ar_0 <= static'4 /\ 0 <= static'4 /\ 0 < o7' /\ o7' < ar_0 /\ i8' <= o7' /\ static'2 <= static'1 /\ -static'3 <= 0 /\ ar_0 <= static'3 /\ static''' <= ar_1 + 2 /\ 0 <= static'1 /\ static'3 <= static'2 + ar_0 /\ 0 <= ar_1 /\ 0 <= static''' /\ 0 <= static'3 /\ -static'4 <= 1 /\ i21' <= o25' /\ 1 <= static'4 /\ 0 <= i5' /\ ar_0 <= static'5 /\ 0 < o25' /\ 0 <= static'5 /\ 2 <= i5' /\ o25' < ar_0 /\ static'4 <= static'3 + 1 /\ static'6 <= static'5 + 3 ]
(Comp: 4*ar_0, Cost: 3) main_GE_402(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_359(ar_0, ar_1, ar_3, ar_2 + 1, ar_4)) [ ar_0 - ar_4 - 1 >= 0 /\ ar_4 - 3 >= 0 /\ ar_3 + ar_4 - 4 >= 0 /\ ar_2 + ar_4 - 3 >= 0 /\ ar_1 + ar_4 - 3 >= 0 /\ ar_0 + ar_4 - 7 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ -ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 5 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 >= 0 /\ ar_0 + ar_2 - 4 >= 0 /\ ar_0 - ar_1 - 2 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ ar_0 - 4 >= 0 /\ 3 <= ar_4 /\ 1 <= i99' /\ 1 <= ar_3 /\ 0 <= ar_1 /\ ar_2 + 1 = i99' /\ 0 <= i99' /\ 0 <= ar_2 /\ 0 < ar_0 /\ ar_2 <= ar_1 /\ 0 <= ar_3 ]
(Comp: 4*ar_0, Cost: 5) main_Load_359(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_GE_402(ar_0, ar_1, ar_3, ar_2, ar_4)) [ ar_0 - ar_4 - 1 >= 0 /\ ar_4 - 3 >= 0 /\ ar_3 + ar_4 - 3 >= 0 /\ ar_2 + ar_4 - 3 >= 0 /\ ar_1 + ar_4 - 3 >= 0 /\ ar_0 + ar_4 - 7 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 >= 0 /\ ar_1 + ar_3 >= 0 /\ ar_0 + ar_3 - 4 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 >= 0 /\ ar_0 + ar_2 - 4 >= 0 /\ ar_0 - ar_1 - 1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ ar_0 - 4 >= 0 /\ ar_1 < ar_2 /\ 0 <= ar_1 /\ 0 <= ar_3 /\ 0 < ar_0 /\ 3 <= ar_4 /\ 0 <= ar_2 /\ 1 <= ar_2 ]
(Comp: 4*ar_0, Cost: 3) main_GE_402(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_359(ar_0, ar_1 + 1, ar_3, ar_2, ar_4)) [ ar_0 - ar_4 - 1 >= 0 /\ ar_4 - 3 >= 0 /\ ar_3 + ar_4 - 4 >= 0 /\ ar_2 + ar_4 - 3 >= 0 /\ ar_1 + ar_4 - 3 >= 0 /\ ar_0 + ar_4 - 7 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ -ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 5 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 >= 0 /\ ar_0 + ar_2 - 4 >= 0 /\ ar_0 - ar_1 - 2 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ ar_0 - 4 >= 0 /\ ar_1 + 1 = i100' /\ 0 < ar_0 /\ 0 <= ar_1 /\ 1 <= i100' /\ 1 <= ar_2 /\ 0 <= i100' /\ 1 <= ar_3 /\ 0 <= ar_2 /\ 3 <= ar_4 /\ 0 <= ar_3 /\ ar_1 < ar_2 ]
start location: koat_start
leaf cost: 0

Complexity upper bound 44*ar_0 + 59

Time: 0.709 sec (SMT: 0.571 sec)

(16) BOUNDS(CONSTANT, 59 + 44 * |args|)

(17) TerminationGraphToComplexityProof (BOTH CONCRETE BOUNDS(ID, ADD(137)) transformation)

Extracted set of 99 edges for the analysis of TIME complexity. Kept leaves.

(18) Obligation:

Set of 99 edges based on JBC Program.
Performed SCC analyses:
  • Used field analysis yielded the following read fields:

Considered paths: nonterm paths and paths from start to sinks

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

Transformed 99 jbc graph edges to a weighted ITS with 99 rules.
Used simplified encoding of division and modulo.
Filtered conditions with variables that do not depend on the variables on the lhs or rhs without taking transitive dependencies into account.
Did no encode lower bounds for putfield and astore.

(20) Obligation:

IntTrs with 99 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_5(o1, env, static) :|: 0 < o1
langle_clinit_rangle_ConstantStackPush_5(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_13(a2, o1, iconst_0, env, static) :|: a2 = 2 && iconst_0 = 0 && 0 < a2 && 0 < o1
langle_clinit_rangle_FieldAccess_13(a2, o1, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_16(o1, env, static') :|: 0 <= a2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2 && 0 < o1
langle_clinit_rangle_New_16(o1, env, static) -{0,0}> langle_clinit_rangle_New_17(o1, env, static) :|: 0 < o1
langle_clinit_rangle_New_17(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_21(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_ConstantStackPush_21(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_24(o4, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_init_rangle_Load_24(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_26(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_26(o4, o1, env, static) -{1,1}> langle_init_rangle_Load_28(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Load_28(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_30(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_30(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_32(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_32(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_34(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_34(o4, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_36(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_FieldAccess_36(o4, o1, env, static) -{1,1}> langle_clinit_rangle_Return_39(o1, env, static') :|: 0 <= o4 && 0 < o4 && 0 <= static && 0 < o1 && static' <= static + o4
langle_clinit_rangle_Return_39(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_56(o1, env, static) :|: 0 <= static && 0 < o1
main_Load_56(o1, env, static) -{0,0}> main_Load_57(o1, env, static) :|: 0 < o1
main_Load_57(o1, env, static) -{0,0}> main_Load_58(o1, env, static) :|: 0 < o1
main_Load_58(o1, env, static) -{1,1}> main_FieldAccess_59(o1, env, static) :|: 0 < o1
main_FieldAccess_59(o1, env, static) -{0,0}> main_FieldAccess_60(o1, env, static) :|: 0 < o1
main_FieldAccess_60(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_61(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ConstantStackPush_61(o1, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_62(iconst_0, o1, NULL, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_FieldAccess_62(iconst_0, o1, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_63(o1, NULL, iconst_0, env, static') :|: NULL = 0 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0 && 0 < o1
langle_clinit_rangle_Return_63(o1, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_64(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
main_FieldAccess_64(o1, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_66(o1, iconst_0, env, static') :|: static' <= static + o1 && NULL = 0 && 0 <= o1 && iconst_0 = 0 && 0 <= static && 0 < o1
main_InvokeMethod_66(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_67(o1, iconst_0, env, static) :|: iconst_0 = 0 && 0 < o1
random_FieldAccess_67(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_68(o1, iconst_0, env, static) :|: 0 <= o1 && o1 <= static && iconst_0 = 0 && 0 <= static && 0 < o1
random_FieldAccess_68(o1, iconst_0, env, static) -{1,1}> random_ArrayAccess_69(o1, iconst_0, env, static) :|: -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static && 0 < o1
random_ArrayAccess_69(a6, iconst_0, env, static) -{0,0}> random_ArrayAccess_70(a6, iconst_0, i5, env, static) :|: i5 < a6 && iconst_0 = 0 && 0 < a6 && 0 <= i5
random_ArrayAccess_70(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_73(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_70(a6, iconst_0, i6, env, static) -{0,0}> random_ArrayAccess_74(a6, iconst_0, i6, env, static) :|: 0 <= i6 && 1 <= i6 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_74(a6, iconst_0, i6, env, static) -{1,1}> random_Store_78(o7, a6, iconst_0, i6, env, static) :|: 1 <= i6 && o7 < a6 && iconst_0 = 0 && 0 <= o7 && 0 < a6
random_Store_78(o7, a6, iconst_0, i6, env, static) -{1,1}> random_FieldAccess_80(o7, a6, iconst_0, i6, env, static) :|: 1 <= i6 && iconst_0 = 0 && 0 <= o7 && 0 < a6
random_FieldAccess_80(o7, a6, iconst_0, i6, env, static) -{1,1}> random_ConstantStackPush_84(iconst_0, o7, a6, i6, env, static) :|: 1 <= i6 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= o7 && 0 <= static && 0 < a6 && iconst_0 <= static
random_ConstantStackPush_84(iconst_0, o7, a6, i6, env, static) -{1,1}> random_IntArithmetic_88(iconst_0, iconst_1, o7, a6, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && iconst_0 = 0 && 0 <= o7 && 0 < a6
random_IntArithmetic_88(iconst_0, iconst_1, o7, a6, i6, env, static) -{1,1}> random_FieldAccess_90(iconst_1, o7, a6, iconst_0, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && iconst_0 = 0 && 0 <= o7 && 0 < a6
random_FieldAccess_90(iconst_1, o7, a6, iconst_0, i6, env, static) -{1,1}> random_Load_94(o7, a6, iconst_1, i6, env, static') :|: 1 <= i6 && iconst_1 = 1 && iconst_0 = 0 && 0 <= o7 && 0 <= static && 0 < a6 && static' <= static + iconst_1
random_Load_94(o7, a6, iconst_1, i6, env, static) -{1,1}> random_InvokeMethod_100(o7, a6, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 <= o7 && 0 < a6
random_InvokeMethod_100(o12, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_102(o12, a6, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6
random_InvokeMethod_100(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_103(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
random_InvokeMethod_102(o12, a6, iconst_1, i6, env, static) -{1,1}> random_Return_106(i8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && i8 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_Return_106(i8, a6, iconst_1, i6, env, static) -{1,1}> main_Store_112(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_Store_112(a6, i8, iconst_1, i6, env, static) -{1,1}> main_InvokeMethod_116(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_InvokeMethod_116(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_137(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_FieldAccess_137(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_141(a6, i8, iconst_1, i6, env, static) :|: 0 <= a6 && 1 <= i6 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8
random_FieldAccess_141(a6, i8, iconst_1, i6, env, static) -{1,1}> random_ArrayAccess_143(a6, iconst_1, i8, i6, env, static) :|: -1 * static <= iconst_1 && 1 <= i6 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8
random_ArrayAccess_143(a6, iconst_1, i8, iconst_1, env, static) -{0,0}> random_ArrayAccess_150(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_ArrayAccess_143(a6, iconst_1, i8, i12, env, static) -{0,0}> random_ArrayAccess_152(a6, iconst_1, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i12
random_ArrayAccess_152(a6, iconst_1, i8, i12, env, static) -{1,1}> random_Store_161(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && o25 < a6 && 0 < a6 && 0 <= i8 && 0 <= o25
random_Store_161(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_FieldAccess_164(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_FieldAccess_164(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_ConstantStackPush_174(iconst_1, o25, a6, i8, i12, env, static) :|: -1 * static <= iconst_1 && 2 <= i12 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8 && 0 <= o25
random_ConstantStackPush_174(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_IntArithmetic_185(iconst_1, o25, a6, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_IntArithmetic_185(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_FieldAccess_189(iconst_2, o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2
random_FieldAccess_189(iconst_2, o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_Load_202(o25, a6, i8, iconst_2, i12, env, static') :|: 2 <= i12 && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2 && static' <= static + iconst_2
random_Load_202(o25, a6, i8, iconst_2, i12, env, static) -{1,1}> random_InvokeMethod_225(o25, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2
random_InvokeMethod_225(o52, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_232(o52, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < o52 && 0 < a6 && 0 <= i8 && 0 <= o52 && iconst_2 = 2
random_InvokeMethod_225(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_234(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_232(o52, a6, i8, iconst_2, i12, env, static) -{1,1}> random_Return_245(i21, a6, i8, iconst_2, i12, env, static) :|: 0 <= i21 && i21 <= o52 && 2 <= i12 && 0 < o52 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_Return_245(i21, a6, i8, iconst_2, i12, env, static) -{1,1}> main_Store_256(a6, i21, i8, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Store_256(a6, i21, i8, iconst_2, i12, env, static) -{1,1}> main_InvokeMethod_260(a6, i8, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_InvokeMethod_260(a6, i8, i21, iconst_2, i12, env, static) -{1,1}> random_FieldAccess_286(a6, i8, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_286(a6, i8, i21, iconst_2, i12, env, static) -{1,1}> random_FieldAccess_307(a6, i8, i21, iconst_2, i12, env, static) :|: 0 <= a6 && 0 <= i21 && 2 <= i12 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_307(a6, i8, i21, iconst_2, i12, env, static) -{1,1}> random_ArrayAccess_310(a6, iconst_2, i8, i21, i12, env, static) :|: -1 * static <= iconst_2 && 0 <= i21 && 2 <= i12 && iconst_2 <= static && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ArrayAccess_310(a6, iconst_2, i8, i21, iconst_2, env, static) -{0,0}> random_ArrayAccess_314(a6, iconst_2, i8, i21, env, static) :|: 0 <= i21 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2
random_ArrayAccess_310(a6, iconst_2, i8, i21, i33, env, static) -{0,0}> random_ArrayAccess_315(a6, iconst_2, i8, i21, i33, env, static) :|: 3 <= i33 && 0 <= i21 && 2 <= i33 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ArrayAccess_315(a6, iconst_2, i8, i21, i33, env, static) -{1,1}> random_Store_320(o95, a6, i8, i21, iconst_2, i33, env, static) :|: 0 <= o95 && 3 <= i33 && 0 <= i21 && o95 < a6 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_Store_320(o95, a6, i8, i21, iconst_2, i33, env, static) -{1,1}> random_FieldAccess_323(o95, a6, i8, i21, iconst_2, i33, env, static) :|: 0 <= o95 && 3 <= i33 && 0 <= i21 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_323(o95, a6, i8, i21, iconst_2, i33, env, static) -{1,1}> random_ConstantStackPush_328(iconst_2, o95, a6, i8, i21, i33, env, static) :|: 0 <= o95 && -1 * static <= iconst_2 && 3 <= i33 && 0 <= i21 && iconst_2 <= static && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ConstantStackPush_328(iconst_2, o95, a6, i8, i21, i33, env, static) -{1,1}> random_IntArithmetic_332(iconst_2, iconst_1, o95, a6, i8, i21, i33, env, static) :|: 0 <= o95 && 3 <= i33 && 0 <= i21 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_IntArithmetic_332(iconst_2, iconst_1, o95, a6, i8, i21, i33, env, static) -{1,1}> random_FieldAccess_334(iconst_3, o95, a6, i8, i21, iconst_2, i33, env, static) :|: 0 <= o95 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_334(iconst_3, o95, a6, i8, i21, iconst_2, i33, env, static) -{1,1}> random_Load_338(o95, a6, i8, i21, iconst_3, i33, env, static') :|: 0 <= o95 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2 && static' <= static + iconst_3
random_Load_338(o95, a6, i8, i21, iconst_3, i33, env, static) -{1,1}> random_InvokeMethod_342(o95, a6, i8, i21, iconst_3, i33, env, static) :|: 0 <= o95 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 < a6 && 0 <= i8
random_InvokeMethod_342(o191, a6, i8, i21, iconst_3, i33, env, static) -{0,0}> random_InvokeMethod_345(o191, a6, i8, i21, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 < a6 && 0 < o191 && 0 <= i8 && 0 <= o191
random_InvokeMethod_342(NULL, a6, i8, i21, iconst_3, i33, env, static) -{0,0}> random_InvokeMethod_346(NULL, a6, i8, i21, iconst_3, i33, env, static) :|: NULL = 0 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= NULL && 0 < a6 && 0 <= i8
random_InvokeMethod_345(o191, a6, i8, i21, iconst_3, i33, env, static) -{1,1}> random_Return_350(i88, a6, i8, i21, iconst_3, i33, env, static) :|: i88 <= o191 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 < o191 && 0 <= i8
random_Return_350(i88, a6, i8, i21, iconst_3, i33, env, static) -{1,1}> main_Store_355(a6, i88, i8, i21, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 <= i8
main_Store_355(a6, i88, i8, i21, iconst_3, i33, env, static) -{1,1}> main_Load_359(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 <= i8
main_Load_359(a6, i8, i21, i88, iconst_3, i33, env, static) -{1,1}> main_Load_363(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 <= i8
main_Load_363(a6, i8, i21, i88, iconst_3, i33, env, static) -{1,1}> main_GE_368(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 <= i8
main_GE_368(a6, i8, i21, i88, iconst_3, i33, env, static) -{0,0}> main_GE_372(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && i21 <= i8 && 0 < a6 && 0 <= i8
main_GE_368(a6, i8, i21, i88, iconst_3, i33, env, static) -{0,0}> main_GE_374(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && i8 < i21 && 0 < a6 && 0 <= i8
main_GE_374(a6, i8, i21, i88, iconst_3, i33, env, static) -{1,1}> main_Load_382(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 1 <= i21 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && i8 < i21 && 0 < a6 && 0 <= i8
main_Load_382(a6, i8, i21, i88, iconst_3, i33, env, static) -{1,1}> main_Load_398(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 1 <= i21 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 <= i8
main_Load_398(a6, i8, i21, i88, iconst_3, i33, env, static) -{1,1}> main_GE_402(a6, i8, i88, i21, iconst_3, i33, env, static) :|: 1 <= i21 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 <= i8
main_GE_402(a6, i8, i88, i21, iconst_3, i33, env, static) -{0,0}> main_GE_410(a6, i8, i88, i21, iconst_3, i33, env, static) :|: 1 <= i21 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && i88 <= i8 && 0 < a6 && 0 <= i8
main_GE_402(a6, i8, i88, i21, iconst_3, i33, env, static) -{0,0}> main_GE_411(a6, i8, i88, i21, iconst_3, i33, env, static) :|: 1 <= i21 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && i8 < i88 && 0 < a6 && 0 <= i8
main_GE_410(a6, i8, i88, i21, iconst_3, i33, env, static) -{1,1}> main_Inc_420(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 1 <= i21 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && i88 <= i8 && 0 < a6 && 0 <= i8
main_GE_411(a6, i8, i88, i21, iconst_3, i33, env, static) -{1,1}> main_Inc_425(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 1 <= i21 && 1 <= i88 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && i8 < i88 && 0 < a6 && 0 <= i8
main_Inc_420(a6, i8, i21, i88, iconst_3, i33, env, static) -{1,1}> main_JMP_436(a6, i8, i21, i99, iconst_3, i33, env, static) :|: 1 <= i21 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 <= i8 && i88 + 1 = i99 && 1 <= i99
main_Inc_425(a6, i8, i21, i88, iconst_3, i33, env, static) -{1,1}> main_JMP_439(a6, i100, i21, i88, iconst_3, i33, env, static) :|: 1 <= i21 && 1 <= i88 && 3 <= i33 && iconst_3 = 3 && 1 <= i100 && 0 < a6 && 0 <= i8 && i8 + 1 = i100
main_JMP_436(a6, i8, i21, i99, iconst_3, i33, env, static) -{1,1}> main_Load_442(a6, i8, i21, i99, iconst_3, i33, env, static) :|: 1 <= i21 && 3 <= i33 && iconst_3 = 3 && 0 < a6 && 0 <= i8 && 1 <= i99
main_JMP_439(a6, i100, i21, i88, iconst_3, i33, env, static) -{1,1}> main_Load_447(a6, i100, i21, i88, iconst_3, i33, env, static) :|: 1 <= i21 && 1 <= i88 && 3 <= i33 && iconst_3 = 3 && 1 <= i100 && 0 < a6
main_Load_442(a6, i8, i21, i99, iconst_3, i33, env, static) -{0,0}> main_Load_359(a6, i8, i21, i99, iconst_3, i33, env, static) :|: 1 <= i21 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 < a6 && 0 <= i99 && 0 <= i8 && 1 <= i99
main_Load_447(a6, i100, i21, i88, iconst_3, i33, env, static) -{0,0}> main_Load_359(a6, i100, i21, i88, iconst_3, i33, env, static) :|: 1 <= i21 && 1 <= i88 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && 0 <= i100 && 1 <= i100 && 0 < a6

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

obtained
main_Load_2(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i5', env, static'3) :|: static'1 <= static''' + 1 && 0 <= i5' && 0 <= 2 && 0 < o1 && 0 <= static'2 && i5' < o1 && 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_5(o1, env, static) :|: 0 < o1
langle_clinit_rangle_ConstantStackPush_5(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_13(a2, o1, iconst_0, env, static) :|: a2 = 2 && iconst_0 = 0 && 0 < a2 && 0 < o1
langle_clinit_rangle_FieldAccess_13(a2, o1, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_16(o1, env, static') :|: 0 <= a2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2 && 0 < o1
langle_clinit_rangle_New_16(o1, env, static) -{0,0}> langle_clinit_rangle_New_17(o1, env, static) :|: 0 < o1
langle_clinit_rangle_New_17(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_21(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_ConstantStackPush_21(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_24(o4, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_init_rangle_Load_24(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_26(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_26(o4, o1, env, static) -{1,1}> langle_init_rangle_Load_28(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Load_28(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_30(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_30(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_32(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_32(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_34(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_34(o4, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_36(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_FieldAccess_36(o4, o1, env, static) -{1,1}> langle_clinit_rangle_Return_39(o1, env, static') :|: 0 <= o4 && 0 < o4 && 0 <= static && 0 < o1 && static' <= static + o4
langle_clinit_rangle_Return_39(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_56(o1, env, static) :|: 0 <= static && 0 < o1
main_Load_56(o1, env, static) -{0,0}> main_Load_57(o1, env, static) :|: 0 < o1
main_Load_57(o1, env, static) -{0,0}> main_Load_58(o1, env, static) :|: 0 < o1
main_Load_58(o1, env, static) -{1,1}> main_FieldAccess_59(o1, env, static) :|: 0 < o1
main_FieldAccess_59(o1, env, static) -{0,0}> main_FieldAccess_60(o1, env, static) :|: 0 < o1
main_FieldAccess_60(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_61(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ConstantStackPush_61(o1, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_62(iconst_0, o1, NULL, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_FieldAccess_62(iconst_0, o1, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_63(o1, NULL, iconst_0, env, static') :|: NULL = 0 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0 && 0 < o1
langle_clinit_rangle_Return_63(o1, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_64(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
main_FieldAccess_64(o1, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_66(o1, iconst_0, env, static') :|: static' <= static + o1 && NULL = 0 && 0 <= o1 && iconst_0 = 0 && 0 <= static && 0 < o1
main_InvokeMethod_66(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_67(o1, iconst_0, env, static) :|: iconst_0 = 0 && 0 < o1
random_FieldAccess_67(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_68(o1, iconst_0, env, static) :|: 0 <= o1 && o1 <= static && iconst_0 = 0 && 0 <= static && 0 < o1
random_FieldAccess_68(o1, iconst_0, env, static) -{1,1}> random_ArrayAccess_69(o1, iconst_0, env, static) :|: -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static && 0 < o1
random_ArrayAccess_69(a6, iconst_0, env, static) -{0,0}> random_ArrayAccess_70(a6, iconst_0, i5, env, static) :|: i5 < a6 && iconst_0 = 0 && 0 < a6 && 0 <= i5

obtained
random_ArrayAccess_70(a6, 0, i6, env, static) -{7,7}> random_InvokeMethod_100(o7', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 0 <= o7' && 0 <= static && 1 <= i6 && o7' < a6 && -1 * static <= 0 && static'4 <= static + 1
by chaining
random_ArrayAccess_70(a6, iconst_0, i6, env, static) -{0,0}> random_ArrayAccess_74(a6, iconst_0, i6, env, static) :|: 0 <= i6 && 1 <= i6 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_74(a6, iconst_0, i6, env, static) -{1,1}> random_Store_78(o7, a6, iconst_0, i6, env, static) :|: 1 <= i6 && o7 < a6 && iconst_0 = 0 && 0 <= o7 && 0 < a6
random_Store_78(o7, a6, iconst_0, i6, env, static) -{1,1}> random_FieldAccess_80(o7, a6, iconst_0, i6, env, static) :|: 1 <= i6 && iconst_0 = 0 && 0 <= o7 && 0 < a6
random_FieldAccess_80(o7, a6, iconst_0, i6, env, static) -{1,1}> random_ConstantStackPush_84(iconst_0, o7, a6, i6, env, static) :|: 1 <= i6 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= o7 && 0 <= static && 0 < a6 && iconst_0 <= static
random_ConstantStackPush_84(iconst_0, o7, a6, i6, env, static) -{1,1}> random_IntArithmetic_88(iconst_0, iconst_1, o7, a6, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && iconst_0 = 0 && 0 <= o7 && 0 < a6
random_IntArithmetic_88(iconst_0, iconst_1, o7, a6, i6, env, static) -{1,1}> random_FieldAccess_90(iconst_1, o7, a6, iconst_0, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && iconst_0 = 0 && 0 <= o7 && 0 < a6
random_FieldAccess_90(iconst_1, o7, a6, iconst_0, i6, env, static) -{1,1}> random_Load_94(o7, a6, iconst_1, i6, env, static') :|: 1 <= i6 && iconst_1 = 1 && iconst_0 = 0 && 0 <= o7 && 0 <= static && 0 < a6 && static' <= static + iconst_1
random_Load_94(o7, a6, iconst_1, i6, env, static) -{1,1}> random_InvokeMethod_100(o7, a6, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 <= o7 && 0 < a6

obtained
random_InvokeMethod_100(o12, a6, 1, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o12 && 0 < a6 && a6 <= static && 0 <= static && 0 <= o12 && 1 <= static && -1 * static <= 1 && 1 <= i6 && 0 < o12
by chaining
random_InvokeMethod_100(o12, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_102(o12, a6, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6
random_InvokeMethod_102(o12, a6, iconst_1, i6, env, static) -{1,1}> random_Return_106(i8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && i8 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_Return_106(i8, a6, iconst_1, i6, env, static) -{1,1}> main_Store_112(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_Store_112(a6, i8, iconst_1, i6, env, static) -{1,1}> main_InvokeMethod_116(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_InvokeMethod_116(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_137(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_FieldAccess_137(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_141(a6, i8, iconst_1, i6, env, static) :|: 0 <= a6 && 1 <= i6 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8
random_FieldAccess_141(a6, i8, iconst_1, i6, env, static) -{1,1}> random_ArrayAccess_143(a6, iconst_1, i8, i6, env, static) :|: -1 * static <= iconst_1 && 1 <= i6 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8

obtained
random_ArrayAccess_143(a6, 1, i8, i12, env, static) -{7,7}> random_InvokeMethod_225(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2
by chaining
random_ArrayAccess_143(a6, iconst_1, i8, i12, env, static) -{0,0}> random_ArrayAccess_152(a6, iconst_1, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i12
random_ArrayAccess_152(a6, iconst_1, i8, i12, env, static) -{1,1}> random_Store_161(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && o25 < a6 && 0 < a6 && 0 <= i8 && 0 <= o25
random_Store_161(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_FieldAccess_164(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_FieldAccess_164(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_ConstantStackPush_174(iconst_1, o25, a6, i8, i12, env, static) :|: -1 * static <= iconst_1 && 2 <= i12 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8 && 0 <= o25
random_ConstantStackPush_174(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_IntArithmetic_185(iconst_1, o25, a6, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_IntArithmetic_185(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_FieldAccess_189(iconst_2, o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2
random_FieldAccess_189(iconst_2, o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_Load_202(o25, a6, i8, iconst_2, i12, env, static') :|: 2 <= i12 && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2 && static' <= static + iconst_2
random_Load_202(o25, a6, i8, iconst_2, i12, env, static) -{1,1}> random_InvokeMethod_225(o25, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2

obtained
random_InvokeMethod_225(o52, a6, i8, 2, i12, env, static) -{6,6}> random_ArrayAccess_310(a6, 2, i8, i21', i12, env, static) :|: 0 <= a6 && 0 <= i21' && 0 <= i8 && i21' <= o52 && 0 < a6 && a6 <= static && 0 <= static && 2 <= static && 2 <= i12 && -1 * static <= 2 && 0 < o52 && 0 <= o52
by chaining
random_InvokeMethod_225(o52, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_232(o52, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < o52 && 0 < a6 && 0 <= i8 && 0 <= o52 && iconst_2 = 2
random_InvokeMethod_232(o52, a6, i8, iconst_2, i12, env, static) -{1,1}> random_Return_245(i21, a6, i8, iconst_2, i12, env, static) :|: 0 <= i21 && i21 <= o52 && 2 <= i12 && 0 < o52 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_Return_245(i21, a6, i8, iconst_2, i12, env, static) -{1,1}> main_Store_256(a6, i21, i8, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Store_256(a6, i21, i8, iconst_2, i12, env, static) -{1,1}> main_InvokeMethod_260(a6, i8, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_InvokeMethod_260(a6, i8, i21, iconst_2, i12, env, static) -{1,1}> random_FieldAccess_286(a6, i8, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_286(a6, i8, i21, iconst_2, i12, env, static) -{1,1}> random_FieldAccess_307(a6, i8, i21, iconst_2, i12, env, static) :|: 0 <= a6 && 0 <= i21 && 2 <= i12 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_307(a6, i8, i21, iconst_2, i12, env, static) -{1,1}> random_ArrayAccess_310(a6, iconst_2, i8, i21, i12, env, static) :|: -1 * static <= iconst_2 && 0 <= i21 && 2 <= i12 && iconst_2 <= static && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2

obtained
random_ArrayAccess_310(a6, 2, i8, i21, i33, env, static) -{7,7}> random_InvokeMethod_342(o95', a6, i8, i21, 3, i33, env, static'6) :|: 2 <= i33 && 0 <= i8 && o95' < a6 && 0 < a6 && 3 <= i33 && 0 <= static && 0 <= i21 && 0 <= o95' && 2 <= static && -1 * static <= 2 && static'6 <= static + 3
by chaining
random_ArrayAccess_310(a6, iconst_2, i8, i21, i33, env, static) -{0,0}> random_ArrayAccess_315(a6, iconst_2, i8, i21, i33, env, static) :|: 3 <= i33 && 0 <= i21 && 2 <= i33 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ArrayAccess_315(a6, iconst_2, i8, i21, i33, env, static) -{1,1}> random_Store_320(o95, a6, i8, i21, iconst_2, i33, env, static) :|: 0 <= o95 && 3 <= i33 && 0 <= i21 && o95 < a6 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_Store_320(o95, a6, i8, i21, iconst_2, i33, env, static) -{1,1}> random_FieldAccess_323(o95, a6, i8, i21, iconst_2, i33, env, static) :|: 0 <= o95 && 3 <= i33 && 0 <= i21 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_323(o95, a6, i8, i21, iconst_2, i33, env, static) -{1,1}> random_ConstantStackPush_328(iconst_2, o95, a6, i8, i21, i33, env, static) :|: 0 <= o95 && -1 * static <= iconst_2 && 3 <= i33 && 0 <= i21 && iconst_2 <= static && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ConstantStackPush_328(iconst_2, o95, a6, i8, i21, i33, env, static) -{1,1}> random_IntArithmetic_332(iconst_2, iconst_1, o95, a6, i8, i21, i33, env, static) :|: 0 <= o95 && 3 <= i33 && 0 <= i21 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_IntArithmetic_332(iconst_2, iconst_1, o95, a6, i8, i21, i33, env, static) -{1,1}> random_FieldAccess_334(iconst_3, o95, a6, i8, i21, iconst_2, i33, env, static) :|: 0 <= o95 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_334(iconst_3, o95, a6, i8, i21, iconst_2, i33, env, static) -{1,1}> random_Load_338(o95, a6, i8, i21, iconst_3, i33, env, static') :|: 0 <= o95 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2 && static' <= static + iconst_3
random_Load_338(o95, a6, i8, i21, iconst_3, i33, env, static) -{1,1}> random_InvokeMethod_342(o95, a6, i8, i21, iconst_3, i33, env, static) :|: 0 <= o95 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 < a6 && 0 <= i8

obtained
random_InvokeMethod_342(o191, a6, i8, i21, 3, i33, env, static) -{3,3}> main_Load_359(a6, i8, i21, i88', 3, i33, env, static) :|: 0 <= o191 && 0 <= i8 && 0 < o191 && 0 < a6 && 0 <= i88' && 3 <= i33 && 0 <= i21 && i88' <= o191
by chaining
random_InvokeMethod_342(o191, a6, i8, i21, iconst_3, i33, env, static) -{0,0}> random_InvokeMethod_345(o191, a6, i8, i21, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 < a6 && 0 < o191 && 0 <= i8 && 0 <= o191
random_InvokeMethod_345(o191, a6, i8, i21, iconst_3, i33, env, static) -{1,1}> random_Return_350(i88, a6, i8, i21, iconst_3, i33, env, static) :|: i88 <= o191 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 < o191 && 0 <= i8
random_Return_350(i88, a6, i8, i21, iconst_3, i33, env, static) -{1,1}> main_Store_355(a6, i88, i8, i21, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 <= i8
main_Store_355(a6, i88, i8, i21, iconst_3, i33, env, static) -{1,1}> main_Load_359(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 <= i8

obtained
main_Load_359(a6, i8, i21, i88, 3, i33, env, static) -{2,2}> main_GE_368(a6, i8, i21, i88, 3, i33, env, static) :|: 0 <= i8 && 0 < a6 && 0 <= i88 && 3 <= i33 && 0 <= i21
by chaining
main_Load_359(a6, i8, i21, i88, iconst_3, i33, env, static) -{1,1}> main_Load_363(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 <= i8
main_Load_363(a6, i8, i21, i88, iconst_3, i33, env, static) -{1,1}> main_GE_368(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 <= i8

obtained
main_GE_368(a6, i8, i21, i88, 3, i33, env, static) -{3,3}> main_GE_402(a6, i8, i88, i21, 3, i33, env, static) :|: i8 < i21 && 0 <= i8 && 0 <= i88 && 0 < a6 && 3 <= i33 && 0 <= i21 && 1 <= i21
by chaining
main_GE_368(a6, i8, i21, i88, iconst_3, i33, env, static) -{0,0}> main_GE_374(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && i8 < i21 && 0 < a6 && 0 <= i8
main_GE_374(a6, i8, i21, i88, iconst_3, i33, env, static) -{1,1}> main_Load_382(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 1 <= i21 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && i8 < i21 && 0 < a6 && 0 <= i8
main_Load_382(a6, i8, i21, i88, iconst_3, i33, env, static) -{1,1}> main_Load_398(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 1 <= i21 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 <= i8
main_Load_398(a6, i8, i21, i88, iconst_3, i33, env, static) -{1,1}> main_GE_402(a6, i8, i88, i21, iconst_3, i33, env, static) :|: 1 <= i21 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 <= i8

obtained
main_GE_402(a6, i8, i88, i21, 3, i33, env, static) -{3,3}> main_Load_359(a6, i100', i21, i88, 3, i33, env, static) :|: i8 + 1 = i100' && 0 < a6 && 0 <= i8 && 1 <= i100' && 1 <= i88 && 0 <= i100' && 1 <= i21 && 0 <= i88 && 3 <= i33 && 0 <= i21 && i8 < i88
by chaining
main_GE_402(a6, i8, i88, i21, iconst_3, i33, env, static) -{0,0}> main_GE_411(a6, i8, i88, i21, iconst_3, i33, env, static) :|: 1 <= i21 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && i8 < i88 && 0 < a6 && 0 <= i8
main_GE_411(a6, i8, i88, i21, iconst_3, i33, env, static) -{1,1}> main_Inc_425(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 1 <= i21 && 1 <= i88 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && i8 < i88 && 0 < a6 && 0 <= i8
main_Inc_425(a6, i8, i21, i88, iconst_3, i33, env, static) -{1,1}> main_JMP_439(a6, i100, i21, i88, iconst_3, i33, env, static) :|: 1 <= i21 && 1 <= i88 && 3 <= i33 && iconst_3 = 3 && 1 <= i100 && 0 < a6 && 0 <= i8 && i8 + 1 = i100
main_JMP_439(a6, i100, i21, i88, iconst_3, i33, env, static) -{1,1}> main_Load_447(a6, i100, i21, i88, iconst_3, i33, env, static) :|: 1 <= i21 && 1 <= i88 && 3 <= i33 && iconst_3 = 3 && 1 <= i100 && 0 < a6
main_Load_447(a6, i100, i21, i88, iconst_3, i33, env, static) -{0,0}> main_Load_359(a6, i100, i21, i88, iconst_3, i33, env, static) :|: 1 <= i21 && 1 <= i88 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && 0 <= i100 && 1 <= i100 && 0 < a6

obtained
main_GE_402(a6, i8, i88, i21, 3, i33, env, static) -{3,3}> main_Load_359(a6, i8, i21, i99', 3, i33, env, static) :|: 3 <= i33 && 1 <= i99' && 1 <= i21 && 0 <= i8 && i88 + 1 = i99' && 0 <= i99' && 0 <= i88 && 0 < a6 && i88 <= i8 && 0 <= i21
by chaining
main_GE_402(a6, i8, i88, i21, iconst_3, i33, env, static) -{0,0}> main_GE_410(a6, i8, i88, i21, iconst_3, i33, env, static) :|: 1 <= i21 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && i88 <= i8 && 0 < a6 && 0 <= i8
main_GE_410(a6, i8, i88, i21, iconst_3, i33, env, static) -{1,1}> main_Inc_420(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 1 <= i21 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && i88 <= i8 && 0 < a6 && 0 <= i8
main_Inc_420(a6, i8, i21, i88, iconst_3, i33, env, static) -{1,1}> main_JMP_436(a6, i8, i21, i99, iconst_3, i33, env, static) :|: 1 <= i21 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 <= i8 && i88 + 1 = i99 && 1 <= i99
main_JMP_436(a6, i8, i21, i99, iconst_3, i33, env, static) -{1,1}> main_Load_442(a6, i8, i21, i99, iconst_3, i33, env, static) :|: 1 <= i21 && 3 <= i33 && iconst_3 = 3 && 0 < a6 && 0 <= i8 && 1 <= i99
main_Load_442(a6, i8, i21, i99, iconst_3, i33, env, static) -{0,0}> main_Load_359(a6, i8, i21, i99, iconst_3, i33, env, static) :|: 1 <= i21 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 < a6 && 0 <= i99 && 0 <= i8 && 1 <= i99

(22) 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, i5', env, static'3) :|: static'1 <= static''' + 1 && 0 <= i5' && 0 <= 2 && 0 < o1 && 0 <= static'2 && i5' < o1 && 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_73(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_100(o7', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 0 <= o7' && 0 <= static && 1 <= i6 && o7' < a6 && -1 * static <= 0 && static'4 <= static + 1
random_InvokeMethod_100(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_103(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
random_InvokeMethod_100(o12, a6, 1, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o12 && 0 < a6 && a6 <= static && 0 <= static && 0 <= o12 && 1 <= static && -1 * static <= 1 && 1 <= i6 && 0 < o12
random_ArrayAccess_143(a6, iconst_1, i8, iconst_1, env, static) -{0,0}> random_ArrayAccess_150(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_ArrayAccess_143(a6, 1, i8, i12, env, static) -{7,7}> random_InvokeMethod_225(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2
random_InvokeMethod_225(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_234(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_225(o52, a6, i8, 2, i12, env, static) -{6,6}> random_ArrayAccess_310(a6, 2, i8, i21', i12, env, static) :|: 0 <= a6 && 0 <= i21' && 0 <= i8 && i21' <= o52 && 0 < a6 && a6 <= static && 0 <= static && 2 <= static && 2 <= i12 && -1 * static <= 2 && 0 < o52 && 0 <= o52
random_ArrayAccess_310(a6, iconst_2, i8, i21, iconst_2, env, static) -{0,0}> random_ArrayAccess_314(a6, iconst_2, i8, i21, env, static) :|: 0 <= i21 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2
random_ArrayAccess_310(a6, 2, i8, i21, i33, env, static) -{7,7}> random_InvokeMethod_342(o95', a6, i8, i21, 3, i33, env, static'6) :|: 2 <= i33 && 0 <= i8 && o95' < a6 && 0 < a6 && 3 <= i33 && 0 <= static && 0 <= i21 && 0 <= o95' && 2 <= static && -1 * static <= 2 && static'6 <= static + 3
random_InvokeMethod_342(NULL, a6, i8, i21, iconst_3, i33, env, static) -{0,0}> random_InvokeMethod_346(NULL, a6, i8, i21, iconst_3, i33, env, static) :|: NULL = 0 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= NULL && 0 < a6 && 0 <= i8
random_InvokeMethod_342(o191, a6, i8, i21, 3, i33, env, static) -{3,3}> main_Load_359(a6, i8, i21, i88', 3, i33, env, static) :|: 0 <= o191 && 0 <= i8 && 0 < o191 && 0 < a6 && 0 <= i88' && 3 <= i33 && 0 <= i21 && i88' <= o191
main_Load_359(a6, i8, i21, i88, 3, i33, env, static) -{2,2}> main_GE_368(a6, i8, i21, i88, 3, i33, env, static) :|: 0 <= i8 && 0 < a6 && 0 <= i88 && 3 <= i33 && 0 <= i21
main_GE_368(a6, i8, i21, i88, iconst_3, i33, env, static) -{0,0}> main_GE_372(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && i21 <= i8 && 0 < a6 && 0 <= i8
main_GE_368(a6, i8, i21, i88, 3, i33, env, static) -{3,3}> main_GE_402(a6, i8, i88, i21, 3, i33, env, static) :|: i8 < i21 && 0 <= i8 && 0 <= i88 && 0 < a6 && 3 <= i33 && 0 <= i21 && 1 <= i21
main_GE_402(a6, i8, i88, i21, 3, i33, env, static) -{3,3}> main_Load_359(a6, i100', i21, i88, 3, i33, env, static) :|: i8 + 1 = i100' && 0 < a6 && 0 <= i8 && 1 <= i100' && 1 <= i88 && 0 <= i100' && 1 <= i21 && 0 <= i88 && 3 <= i33 && 0 <= i21 && i8 < i88
main_GE_402(a6, i8, i88, i21, 3, i33, env, static) -{3,3}> main_Load_359(a6, i8, i21, i99', 3, i33, env, static) :|: 3 <= i33 && 1 <= i99' && 1 <= i21 && 0 <= i8 && i88 + 1 = i99' && 0 <= i99' && 0 <= i88 && 0 < a6 && i88 <= i8 && 0 <= i21

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

Moved arithmethic from lhss to constraints.

random_ArrayAccess_143(a6, 1, i8, i12, env, static) -{7,7}> random_InvokeMethod_225(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2
was transformed to
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_225(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1

main_Load_359(a6, i8, i21, i88, 3, i33, env, static) -{2,2}> main_GE_368(a6, i8, i21, i88, 3, i33, env, static) :|: 0 <= i8 && 0 < a6 && 0 <= i88 && 3 <= i33 && 0 <= i21
was transformed to
main_Load_359(a6, i8, i21, i88, x, i33, env, static) -{2,2}> main_GE_368(a6, i8, i21, i88, 3, i33, env, static) :|: 0 <= i8 && 0 < a6 && 0 <= i88 && 3 <= i33 && 0 <= i21 && x = 3

random_ArrayAccess_70(a6, 0, i6, env, static) -{7,7}> random_InvokeMethod_100(o7', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 0 <= o7' && 0 <= static && 1 <= i6 && o7' < a6 && -1 * static <= 0 && static'4 <= static + 1
was transformed to
random_ArrayAccess_70(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_100(o7', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 0 <= o7' && 0 <= static && 1 <= i6 && o7' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0

random_ArrayAccess_310(a6, 2, i8, i21, i33, env, static) -{7,7}> random_InvokeMethod_342(o95', a6, i8, i21, 3, i33, env, static'6) :|: 2 <= i33 && 0 <= i8 && o95' < a6 && 0 < a6 && 3 <= i33 && 0 <= static && 0 <= i21 && 0 <= o95' && 2 <= static && -1 * static <= 2 && static'6 <= static + 3
was transformed to
random_ArrayAccess_310(a6, x, i8, i21, i33, env, static) -{7,7}> random_InvokeMethod_342(o95', a6, i8, i21, 3, i33, env, static'6) :|: 2 <= i33 && 0 <= i8 && o95' < a6 && 0 < a6 && 3 <= i33 && 0 <= static && 0 <= i21 && 0 <= o95' && 2 <= static && -1 * static <= 2 && static'6 <= static + 3 && x = 2

main_GE_402(a6, i8, i88, i21, 3, i33, env, static) -{3,3}> main_Load_359(a6, i100', i21, i88, 3, i33, env, static) :|: i8 + 1 = i100' && 0 < a6 && 0 <= i8 && 1 <= i100' && 1 <= i88 && 0 <= i100' && 1 <= i21 && 0 <= i88 && 3 <= i33 && 0 <= i21 && i8 < i88
was transformed to
main_GE_402(a6, i8, i88, i21, x, i33, env, static) -{3,3}> main_Load_359(a6, i100', i21, i88, 3, i33, env, static) :|: i8 + 1 = i100' && 0 < a6 && 0 <= i8 && 1 <= i100' && 1 <= i88 && 0 <= i100' && 1 <= i21 && 0 <= i88 && 3 <= i33 && 0 <= i21 && i8 < i88 && x = 3

random_InvokeMethod_342(o191, a6, i8, i21, 3, i33, env, static) -{3,3}> main_Load_359(a6, i8, i21, i88', 3, i33, env, static) :|: 0 <= o191 && 0 <= i8 && 0 < o191 && 0 < a6 && 0 <= i88' && 3 <= i33 && 0 <= i21 && i88' <= o191
was transformed to
random_InvokeMethod_342(o191, a6, i8, i21, x, i33, env, static) -{3,3}> main_Load_359(a6, i8, i21, i88', 3, i33, env, static) :|: 0 <= o191 && 0 <= i8 && 0 < o191 && 0 < a6 && 0 <= i88' && 3 <= i33 && 0 <= i21 && i88' <= o191 && x = 3

main_GE_368(a6, i8, i21, i88, 3, i33, env, static) -{3,3}> main_GE_402(a6, i8, i88, i21, 3, i33, env, static) :|: i8 < i21 && 0 <= i8 && 0 <= i88 && 0 < a6 && 3 <= i33 && 0 <= i21 && 1 <= i21
was transformed to
main_GE_368(a6, i8, i21, i88, x, i33, env, static) -{3,3}> main_GE_402(a6, i8, i88, i21, 3, i33, env, static) :|: i8 < i21 && 0 <= i8 && 0 <= i88 && 0 < a6 && 3 <= i33 && 0 <= i21 && 1 <= i21 && x = 3

main_GE_402(a6, i8, i88, i21, 3, i33, env, static) -{3,3}> main_Load_359(a6, i8, i21, i99', 3, i33, env, static) :|: 3 <= i33 && 1 <= i99' && 1 <= i21 && 0 <= i8 && i88 + 1 = i99' && 0 <= i99' && 0 <= i88 && 0 < a6 && i88 <= i8 && 0 <= i21
was transformed to
main_GE_402(a6, i8, i88, i21, x, i33, env, static) -{3,3}> main_Load_359(a6, i8, i21, i99', 3, i33, env, static) :|: 3 <= i33 && 1 <= i99' && 1 <= i21 && 0 <= i8 && i88 + 1 = i99' && 0 <= i99' && 0 <= i88 && 0 < a6 && i88 <= i8 && 0 <= i21 && x = 3

random_InvokeMethod_100(o12, a6, 1, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o12 && 0 < a6 && a6 <= static && 0 <= static && 0 <= o12 && 1 <= static && -1 * static <= 1 && 1 <= i6 && 0 < o12
was transformed to
random_InvokeMethod_100(o12, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o12 && 0 < a6 && a6 <= static && 0 <= static && 0 <= o12 && 1 <= static && -1 * static <= 1 && 1 <= i6 && 0 < o12 && x = 1

random_InvokeMethod_225(o52, a6, i8, 2, i12, env, static) -{6,6}> random_ArrayAccess_310(a6, 2, i8, i21', i12, env, static) :|: 0 <= a6 && 0 <= i21' && 0 <= i8 && i21' <= o52 && 0 < a6 && a6 <= static && 0 <= static && 2 <= static && 2 <= i12 && -1 * static <= 2 && 0 < o52 && 0 <= o52
was transformed to
random_InvokeMethod_225(o52, a6, i8, x, i12, env, static) -{6,6}> random_ArrayAccess_310(a6, 2, i8, i21', i12, env, static) :|: 0 <= a6 && 0 <= i21' && 0 <= i8 && i21' <= o52 && 0 < a6 && a6 <= static && 0 <= static && 2 <= static && 2 <= i12 && -1 * static <= 2 && 0 < o52 && 0 <= o52 && x = 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:
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_225(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
main_Load_359(a6, i8, i21, i88, x, i33, env, static) -{2,2}> main_GE_368(a6, i8, i21, i88, 3, i33, env, static) :|: 0 <= i8 && 0 < a6 && 0 <= i88 && 3 <= i33 && 0 <= i21 && x = 3
random_ArrayAccess_70(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_100(o7', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 0 <= o7' && 0 <= static && 1 <= i6 && o7' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
random_ArrayAccess_310(a6, x, i8, i21, i33, env, static) -{7,7}> random_InvokeMethod_342(o95', a6, i8, i21, 3, i33, env, static'6) :|: 2 <= i33 && 0 <= i8 && o95' < a6 && 0 < a6 && 3 <= i33 && 0 <= static && 0 <= i21 && 0 <= o95' && 2 <= static && -1 * static <= 2 && static'6 <= static + 3 && x = 2
main_GE_402(a6, i8, i88, i21, x, i33, env, static) -{3,3}> main_Load_359(a6, i100', i21, i88, 3, i33, env, static) :|: i8 + 1 = i100' && 0 < a6 && 0 <= i8 && 1 <= i100' && 1 <= i88 && 0 <= i100' && 1 <= i21 && 0 <= i88 && 3 <= i33 && 0 <= i21 && i8 < i88 && x = 3
random_InvokeMethod_100(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_103(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
random_InvokeMethod_225(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_234(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_GE_368(a6, i8, i21, i88, iconst_3, i33, env, static) -{0,0}> main_GE_372(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && i21 <= i8 && 0 < a6 && 0 <= i8
random_ArrayAccess_310(a6, iconst_2, i8, i21, iconst_2, env, static) -{0,0}> random_ArrayAccess_314(a6, iconst_2, i8, i21, env, static) :|: 0 <= i21 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2
main_Load_2(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i5', env, static'3) :|: static'1 <= static''' + 1 && 0 <= i5' && 0 <= 2 && 0 < o1 && 0 <= static'2 && i5' < o1 && 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_InvokeMethod_342(o191, a6, i8, i21, x, i33, env, static) -{3,3}> main_Load_359(a6, i8, i21, i88', 3, i33, env, static) :|: 0 <= o191 && 0 <= i8 && 0 < o191 && 0 < a6 && 0 <= i88' && 3 <= i33 && 0 <= i21 && i88' <= o191 && x = 3
main_GE_368(a6, i8, i21, i88, x, i33, env, static) -{3,3}> main_GE_402(a6, i8, i88, i21, 3, i33, env, static) :|: i8 < i21 && 0 <= i8 && 0 <= i88 && 0 < a6 && 3 <= i33 && 0 <= i21 && 1 <= i21 && x = 3
random_InvokeMethod_342(NULL, a6, i8, i21, iconst_3, i33, env, static) -{0,0}> random_InvokeMethod_346(NULL, a6, i8, i21, iconst_3, i33, env, static) :|: NULL = 0 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= NULL && 0 < a6 && 0 <= i8
random_ArrayAccess_70(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_73(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6
main_GE_402(a6, i8, i88, i21, x, i33, env, static) -{3,3}> main_Load_359(a6, i8, i21, i99', 3, i33, env, static) :|: 3 <= i33 && 1 <= i99' && 1 <= i21 && 0 <= i8 && i88 + 1 = i99' && 0 <= i99' && 0 <= i88 && 0 < a6 && i88 <= i8 && 0 <= i21 && x = 3
random_InvokeMethod_100(o12, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o12 && 0 < a6 && a6 <= static && 0 <= static && 0 <= o12 && 1 <= static && -1 * static <= 1 && 1 <= i6 && 0 < o12 && x = 1
random_ArrayAccess_143(a6, iconst_1, i8, iconst_1, env, static) -{0,0}> random_ArrayAccess_150(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_InvokeMethod_225(o52, a6, i8, x, i12, env, static) -{6,6}> random_ArrayAccess_310(a6, 2, i8, i21', i12, env, static) :|: 0 <= a6 && 0 <= i21' && 0 <= i8 && i21' <= o52 && 0 < a6 && a6 <= static && 0 <= static && 2 <= static && 2 <= i12 && -1 * static <= 2 && 0 < o52 && 0 <= o52 && x = 2

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

Linearized lhss.

random_ArrayAccess_310(a6, iconst_2, i8, i21, iconst_2, env, static) -{0,0}> random_ArrayAccess_314(a6, iconst_2, i8, i21, env, static) :|: 0 <= i21 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2
was transformed to
random_ArrayAccess_310(a6, iconst_2, i8, i21, x, env, static) -{0,0}> random_ArrayAccess_314(a6, iconst_2, i8, i21, env, static) :|: 0 <= i21 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2 && x = iconst_2

random_ArrayAccess_70(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_73(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_73(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0

random_ArrayAccess_143(a6, iconst_1, i8, iconst_1, env, static) -{0,0}> random_ArrayAccess_150(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8
was transformed to
random_ArrayAccess_143(a6, iconst_1, i8, x, env, static) -{0,0}> random_ArrayAccess_150(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && x = iconst_1

(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_GE_402(a6, i8, i88, i21, x, i33, env, static) -{3,3}> main_Load_359(a6, i8, i21, i99', 3, i33, env, static) :|: 3 <= i33 && 1 <= i99' && 1 <= i21 && 0 <= i8 && i88 + 1 = i99' && 0 <= i99' && 0 <= i88 && 0 < a6 && i88 <= i8 && 0 <= i21 && x = 3
main_GE_402(a6, i8, i88, i21, x, i33, env, static) -{3,3}> main_Load_359(a6, i100', i21, i88, 3, i33, env, static) :|: i8 + 1 = i100' && 0 < a6 && 0 <= i8 && 1 <= i100' && 1 <= i88 && 0 <= i100' && 1 <= i21 && 0 <= i88 && 3 <= i33 && 0 <= i21 && i8 < i88 && x = 3
random_InvokeMethod_100(o12, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o12 && 0 < a6 && a6 <= static && 0 <= static && 0 <= o12 && 1 <= static && -1 * static <= 1 && 1 <= i6 && 0 < o12 && x = 1
main_GE_368(a6, i8, i21, i88, x, i33, env, static) -{3,3}> main_GE_402(a6, i8, i88, i21, 3, i33, env, static) :|: i8 < i21 && 0 <= i8 && 0 <= i88 && 0 < a6 && 3 <= i33 && 0 <= i21 && 1 <= i21 && x = 3
random_InvokeMethod_100(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_103(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_225(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
random_InvokeMethod_225(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_234(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_342(o191, a6, i8, i21, x, i33, env, static) -{3,3}> main_Load_359(a6, i8, i21, i88', 3, i33, env, static) :|: 0 <= o191 && 0 <= i8 && 0 < o191 && 0 < a6 && 0 <= i88' && 3 <= i33 && 0 <= i21 && i88' <= o191 && x = 3
random_ArrayAccess_310(a6, iconst_2, i8, i21, x, env, static) -{0,0}> random_ArrayAccess_314(a6, iconst_2, i8, i21, env, static) :|: 0 <= i21 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2 && x = iconst_2
main_GE_368(a6, i8, i21, i88, iconst_3, i33, env, static) -{0,0}> main_GE_372(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && i21 <= i8 && 0 < a6 && 0 <= i8
random_InvokeMethod_225(o52, a6, i8, x, i12, env, static) -{6,6}> random_ArrayAccess_310(a6, 2, i8, i21', i12, env, static) :|: 0 <= a6 && 0 <= i21' && 0 <= i8 && i21' <= o52 && 0 < a6 && a6 <= static && 0 <= static && 2 <= static && 2 <= i12 && -1 * static <= 2 && 0 < o52 && 0 <= o52 && x = 2
main_Load_2(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i5', env, static'3) :|: static'1 <= static''' + 1 && 0 <= i5' && 0 <= 2 && 0 < o1 && 0 <= static'2 && i5' < o1 && 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_310(a6, x, i8, i21, i33, env, static) -{7,7}> random_InvokeMethod_342(o95', a6, i8, i21, 3, i33, env, static'6) :|: 2 <= i33 && 0 <= i8 && o95' < a6 && 0 < a6 && 3 <= i33 && 0 <= static && 0 <= i21 && 0 <= o95' && 2 <= static && -1 * static <= 2 && static'6 <= static + 3 && x = 2
random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_73(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
random_InvokeMethod_342(NULL, a6, i8, i21, iconst_3, i33, env, static) -{0,0}> random_InvokeMethod_346(NULL, a6, i8, i21, iconst_3, i33, env, static) :|: NULL = 0 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= NULL && 0 < a6 && 0 <= i8
random_ArrayAccess_70(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_100(o7', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 0 <= o7' && 0 <= static && 1 <= i6 && o7' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
main_Load_359(a6, i8, i21, i88, x, i33, env, static) -{2,2}> main_GE_368(a6, i8, i21, i88, 3, i33, env, static) :|: 0 <= i8 && 0 < a6 && 0 <= i88 && 3 <= i33 && 0 <= i21 && x = 3
random_ArrayAccess_143(a6, iconst_1, i8, x, env, static) -{0,0}> random_ArrayAccess_150(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && x = iconst_1

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

Moved arithmethic from constraints to rhss.

main_GE_402(a6, i8, i88, i21, x, i33, env, static) -{3,3}> main_Load_359(a6, i8, i21, i99', 3, i33, env, static) :|: 3 <= i33 && 1 <= i99' && 1 <= i21 && 0 <= i8 && i88 + 1 = i99' && 0 <= i99' && 0 <= i88 && 0 < a6 && i88 <= i8 && 0 <= i21 && x = 3
was transformed to
main_GE_402(a6, i8, i88, i21, x, i33, env, static) -{3,3}> main_Load_359(a6, i8, i21, i88 + 1, 3, i33, env, static) :|: 3 <= i33 && 1 <= i99' && 1 <= i21 && 0 <= i8 && i88 + 1 = i99' && 0 <= i99' && 0 <= i88 && 0 < a6 && i88 <= i8 && 0 <= i21 && x = 3

main_GE_402(a6, i8, i88, i21, x, i33, env, static) -{3,3}> main_Load_359(a6, i100', i21, i88, 3, i33, env, static) :|: i8 + 1 = i100' && 0 < a6 && 0 <= i8 && 1 <= i100' && 1 <= i88 && 0 <= i100' && 1 <= i21 && 0 <= i88 && 3 <= i33 && 0 <= i21 && i8 < i88 && x = 3
was transformed to
main_GE_402(a6, i8, i88, i21, x, i33, env, static) -{3,3}> main_Load_359(a6, i8 + 1, i21, i88, 3, i33, env, static) :|: i8 + 1 = i100' && 0 < a6 && 0 <= i8 && 1 <= i100' && 1 <= i88 && 0 <= i100' && 1 <= i21 && 0 <= i88 && 3 <= i33 && 0 <= i21 && i8 < i88 && x = 3

random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_73(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_73(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0

random_InvokeMethod_100(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_103(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
was transformed to
random_InvokeMethod_100(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_103(0, a6, 1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6

random_InvokeMethod_225(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_234(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
was transformed to
random_InvokeMethod_225(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_234(0, a6, i8, 2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2

main_GE_368(a6, i8, i21, i88, iconst_3, i33, env, static) -{0,0}> main_GE_372(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && i21 <= i8 && 0 < a6 && 0 <= i8
was transformed to
main_GE_368(a6, i8, i21, i88, iconst_3, i33, env, static) -{0,0}> main_GE_372(a6, i8, i21, i88, 3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && i21 <= i8 && 0 < a6 && 0 <= i8

random_InvokeMethod_342(NULL, a6, i8, i21, iconst_3, i33, env, static) -{0,0}> random_InvokeMethod_346(NULL, a6, i8, i21, iconst_3, i33, env, static) :|: NULL = 0 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= NULL && 0 < a6 && 0 <= i8
was transformed to
random_InvokeMethod_342(NULL, a6, i8, i21, iconst_3, i33, env, static) -{0,0}> random_InvokeMethod_346(0, a6, i8, i21, 3, i33, env, static) :|: NULL = 0 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= NULL && 0 < a6 && 0 <= i8

random_ArrayAccess_143(a6, iconst_1, i8, x, env, static) -{0,0}> random_ArrayAccess_150(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && x = iconst_1
was transformed to
random_ArrayAccess_143(a6, iconst_1, i8, x, env, static) -{0,0}> random_ArrayAccess_150(a6, 1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && x = iconst_1

random_ArrayAccess_310(a6, iconst_2, i8, i21, x, env, static) -{0,0}> random_ArrayAccess_314(a6, iconst_2, i8, i21, env, static) :|: 0 <= i21 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2 && x = iconst_2
was transformed to
random_ArrayAccess_310(a6, iconst_2, i8, i21, x, env, static) -{0,0}> random_ArrayAccess_314(a6, 2, i8, i21, env, static) :|: 0 <= i21 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2 && x = iconst_2

(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_GE_402(a6, i8, i88, i21, x, i33, env, static) -{3,3}> main_Load_359(a6, i8, i21, i88 + 1, 3, i33, env, static) :|: 3 <= i33 && 1 <= i99' && 1 <= i21 && 0 <= i8 && i88 + 1 = i99' && 0 <= i99' && 0 <= i88 && 0 < a6 && i88 <= i8 && 0 <= i21 && x = 3
main_GE_402(a6, i8, i88, i21, x, i33, env, static) -{3,3}> main_Load_359(a6, i8 + 1, i21, i88, 3, i33, env, static) :|: i8 + 1 = i100' && 0 < a6 && 0 <= i8 && 1 <= i100' && 1 <= i88 && 0 <= i100' && 1 <= i21 && 0 <= i88 && 3 <= i33 && 0 <= i21 && i8 < i88 && x = 3
random_InvokeMethod_100(o12, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o12 && 0 < a6 && a6 <= static && 0 <= static && 0 <= o12 && 1 <= static && -1 * static <= 1 && 1 <= i6 && 0 < o12 && x = 1
random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_73(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
random_InvokeMethod_100(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_103(0, a6, 1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
main_GE_368(a6, i8, i21, i88, x, i33, env, static) -{3,3}> main_GE_402(a6, i8, i88, i21, 3, i33, env, static) :|: i8 < i21 && 0 <= i8 && 0 <= i88 && 0 < a6 && 3 <= i33 && 0 <= i21 && 1 <= i21 && x = 3
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_225(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
random_InvokeMethod_225(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_234(0, a6, i8, 2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_GE_368(a6, i8, i21, i88, iconst_3, i33, env, static) -{0,0}> main_GE_372(a6, i8, i21, i88, 3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && i21 <= i8 && 0 < a6 && 0 <= i8
random_InvokeMethod_342(o191, a6, i8, i21, x, i33, env, static) -{3,3}> main_Load_359(a6, i8, i21, i88', 3, i33, env, static) :|: 0 <= o191 && 0 <= i8 && 0 < o191 && 0 < a6 && 0 <= i88' && 3 <= i33 && 0 <= i21 && i88' <= o191 && x = 3
random_InvokeMethod_225(o52, a6, i8, x, i12, env, static) -{6,6}> random_ArrayAccess_310(a6, 2, i8, i21', i12, env, static) :|: 0 <= a6 && 0 <= i21' && 0 <= i8 && i21' <= o52 && 0 < a6 && a6 <= static && 0 <= static && 2 <= static && 2 <= i12 && -1 * static <= 2 && 0 < o52 && 0 <= o52 && x = 2
main_Load_2(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i5', env, static'3) :|: static'1 <= static''' + 1 && 0 <= i5' && 0 <= 2 && 0 < o1 && 0 <= static'2 && i5' < o1 && 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_310(a6, x, i8, i21, i33, env, static) -{7,7}> random_InvokeMethod_342(o95', a6, i8, i21, 3, i33, env, static'6) :|: 2 <= i33 && 0 <= i8 && o95' < a6 && 0 < a6 && 3 <= i33 && 0 <= static && 0 <= i21 && 0 <= o95' && 2 <= static && -1 * static <= 2 && static'6 <= static + 3 && x = 2
random_InvokeMethod_342(NULL, a6, i8, i21, iconst_3, i33, env, static) -{0,0}> random_InvokeMethod_346(0, a6, i8, i21, 3, i33, env, static) :|: NULL = 0 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= NULL && 0 < a6 && 0 <= i8
random_ArrayAccess_70(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_100(o7', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 0 <= o7' && 0 <= static && 1 <= i6 && o7' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
random_ArrayAccess_143(a6, iconst_1, i8, x, env, static) -{0,0}> random_ArrayAccess_150(a6, 1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && x = iconst_1
main_Load_359(a6, i8, i21, i88, x, i33, env, static) -{2,2}> main_GE_368(a6, i8, i21, i88, 3, i33, env, static) :|: 0 <= i8 && 0 < a6 && 0 <= i88 && 3 <= i33 && 0 <= i21 && x = 3
random_ArrayAccess_310(a6, iconst_2, i8, i21, x, env, static) -{0,0}> random_ArrayAccess_314(a6, 2, i8, i21, env, static) :|: 0 <= i21 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2 && x = iconst_2

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

Simplified expressions.

random_InvokeMethod_100(o12, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o12 && 0 < a6 && a6 <= static && 0 <= static && 0 <= o12 && 1 <= static && -1 * static <= 1 && 1 <= i6 && 0 < o12 && x = 1
was transformed to
random_InvokeMethod_100(o12, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= i8' && i8' <= o12 && 0 < a6 && a6 <= static && 0 <= static && 1 <= static && -1 * static <= 1 && 1 <= i6 && 0 < o12 && x = 1

random_InvokeMethod_342(o191, a6, i8, i21, x, i33, env, static) -{3,3}> main_Load_359(a6, i8, i21, i88', 3, i33, env, static) :|: 0 <= o191 && 0 <= i8 && 0 < o191 && 0 < a6 && 0 <= i88' && 3 <= i33 && 0 <= i21 && i88' <= o191 && x = 3
was transformed to
random_InvokeMethod_342(o191, a6, i8, i21, x, i33, env, static) -{3,3}> main_Load_359(a6, i8, i21, i88', 3, i33, env, static) :|: 0 <= i8 && 0 < o191 && 0 < a6 && 0 <= i88' && 3 <= i33 && 0 <= i21 && i88' <= o191 && x = 3

random_InvokeMethod_225(o52, a6, i8, x, i12, env, static) -{6,6}> random_ArrayAccess_310(a6, 2, i8, i21', i12, env, static) :|: 0 <= a6 && 0 <= i21' && 0 <= i8 && i21' <= o52 && 0 < a6 && a6 <= static && 0 <= static && 2 <= static && 2 <= i12 && -1 * static <= 2 && 0 < o52 && 0 <= o52 && x = 2
was transformed to
random_InvokeMethod_225(o52, a6, i8, x, i12, env, static) -{6,6}> random_ArrayAccess_310(a6, 2, i8, i21', i12, env, static) :|: 0 <= i21' && 0 <= i8 && i21' <= o52 && 0 < a6 && a6 <= static && 0 <= static && 2 <= static && 2 <= i12 && -1 * static <= 2 && 0 < o52 && x = 2

main_Load_2(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i5', env, static'3) :|: static'1 <= static''' + 1 && 0 <= i5' && 0 <= 2 && 0 < o1 && 0 <= static'2 && i5' < o1 && 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, i5', env, static'3) :|: static'1 <= static''' + 1 && 0 <= i5' && 0 < o1 && 0 <= static'2 && i5' < o1 && 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

(30) Obligation:

IntTrs with 18 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
random_InvokeMethod_100(o12, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= i8' && i8' <= o12 && 0 < a6 && a6 <= static && 0 <= static && 1 <= static && -1 * static <= 1 && 1 <= i6 && 0 < o12 && x = 1
random_ArrayAccess_310(a6, iconst_2, i8, i21, x, env, static) -{0,0}> random_ArrayAccess_314(a6, 2, i8, i21, env, static) :|: 0 <= i21 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2 && x = iconst_2
random_ArrayAccess_143(a6, iconst_1, i8, x, env, static) -{0,0}> random_ArrayAccess_150(a6, 1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && x = iconst_1
random_InvokeMethod_342(o191, a6, i8, i21, x, i33, env, static) -{3,3}> main_Load_359(a6, i8, i21, i88', 3, i33, env, static) :|: 0 <= i8 && 0 < o191 && 0 < a6 && 0 <= i88' && 3 <= i33 && 0 <= i21 && i88' <= o191 && x = 3
random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_73(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
main_GE_368(a6, i8, i21, i88, x, i33, env, static) -{3,3}> main_GE_402(a6, i8, i88, i21, 3, i33, env, static) :|: i8 < i21 && 0 <= i8 && 0 <= i88 && 0 < a6 && 3 <= i33 && 0 <= i21 && 1 <= i21 && x = 3
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_225(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
main_GE_402(a6, i8, i88, i21, x, i33, env, static) -{3,3}> main_Load_359(a6, i8, i21, i88 + 1, 3, i33, env, static) :|: 3 <= i33 && 1 <= i99' && 1 <= i21 && 0 <= i8 && i88 + 1 = i99' && 0 <= i99' && 0 <= i88 && 0 < a6 && i88 <= i8 && 0 <= i21 && x = 3
main_GE_368(a6, i8, i21, i88, iconst_3, i33, env, static) -{0,0}> main_GE_372(a6, i8, i21, i88, 3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && i21 <= i8 && 0 < a6 && 0 <= i8
main_Load_2(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i5', env, static'3) :|: static'1 <= static''' + 1 && 0 <= i5' && 0 < o1 && 0 <= static'2 && i5' < o1 && 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_225(o52, a6, i8, x, i12, env, static) -{6,6}> random_ArrayAccess_310(a6, 2, i8, i21', i12, env, static) :|: 0 <= i21' && 0 <= i8 && i21' <= o52 && 0 < a6 && a6 <= static && 0 <= static && 2 <= static && 2 <= i12 && -1 * static <= 2 && 0 < o52 && x = 2
main_GE_402(a6, i8, i88, i21, x, i33, env, static) -{3,3}> main_Load_359(a6, i8 + 1, i21, i88, 3, i33, env, static) :|: i8 + 1 = i100' && 0 < a6 && 0 <= i8 && 1 <= i100' && 1 <= i88 && 0 <= i100' && 1 <= i21 && 0 <= i88 && 3 <= i33 && 0 <= i21 && i8 < i88 && x = 3
random_ArrayAccess_310(a6, x, i8, i21, i33, env, static) -{7,7}> random_InvokeMethod_342(o95', a6, i8, i21, 3, i33, env, static'6) :|: 2 <= i33 && 0 <= i8 && o95' < a6 && 0 < a6 && 3 <= i33 && 0 <= static && 0 <= i21 && 0 <= o95' && 2 <= static && -1 * static <= 2 && static'6 <= static + 3 && x = 2
random_InvokeMethod_225(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_234(0, a6, i8, 2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ArrayAccess_70(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_100(o7', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 0 <= o7' && 0 <= static && 1 <= i6 && o7' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
random_InvokeMethod_100(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_103(0, a6, 1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
main_Load_359(a6, i8, i21, i88, x, i33, env, static) -{2,2}> main_GE_368(a6, i8, i21, i88, 3, i33, env, static) :|: 0 <= i8 && 0 < a6 && 0 <= i88 && 3 <= i33 && 0 <= i21 && x = 3
random_InvokeMethod_342(NULL, a6, i8, i21, iconst_3, i33, env, static) -{0,0}> random_InvokeMethod_346(0, a6, i8, i21, 3, i33, env, static) :|: NULL = 0 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= NULL && 0 < a6 && 0 <= i8

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

Transformed 99 jbc graph edges to a weighted ITS with 99 rules.
Filtered conditions with variables that do not depend on the variables on the lhs or rhs without taking transitive dependencies into account.
Did no encode lower bounds for putfield and astore.

(32) Obligation:

IntTrs with 99 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_5(o1, env, static) :|: 0 < o1
langle_clinit_rangle_ConstantStackPush_5(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_13(a2, o1, iconst_0, env, static) :|: a2 = 2 && iconst_0 = 0 && 0 < a2 && 0 < o1
langle_clinit_rangle_FieldAccess_13(a2, o1, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_16(o1, env, static') :|: 0 <= a2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2 && 0 < o1
langle_clinit_rangle_New_16(o1, env, static) -{0,0}> langle_clinit_rangle_New_17(o1, env, static) :|: 0 < o1
langle_clinit_rangle_New_17(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_21(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_ConstantStackPush_21(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_24(o4, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_init_rangle_Load_24(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_26(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_26(o4, o1, env, static) -{1,1}> langle_init_rangle_Load_28(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Load_28(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_30(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_30(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_32(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_32(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_34(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_34(o4, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_36(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_FieldAccess_36(o4, o1, env, static) -{1,1}> langle_clinit_rangle_Return_39(o1, env, static') :|: 0 <= o4 && 0 < o4 && 0 <= static && 0 < o1 && static' <= static + o4
langle_clinit_rangle_Return_39(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_56(o1, env, static) :|: 0 <= static && 0 < o1
main_Load_56(o1, env, static) -{0,0}> main_Load_57(o1, env, static) :|: 0 < o1
main_Load_57(o1, env, static) -{0,0}> main_Load_58(o1, env, static) :|: 0 < o1
main_Load_58(o1, env, static) -{1,1}> main_FieldAccess_59(o1, env, static) :|: 0 < o1
main_FieldAccess_59(o1, env, static) -{0,0}> main_FieldAccess_60(o1, env, static) :|: 0 < o1
main_FieldAccess_60(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_61(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ConstantStackPush_61(o1, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_62(iconst_0, o1, NULL, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_FieldAccess_62(iconst_0, o1, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_63(o1, NULL, iconst_0, env, static') :|: NULL = 0 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0 && 0 < o1
langle_clinit_rangle_Return_63(o1, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_64(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
main_FieldAccess_64(o1, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_66(o1, iconst_0, env, static') :|: static' <= static + o1 && NULL = 0 && 0 <= o1 && iconst_0 = 0 && 0 <= static && 0 < o1
main_InvokeMethod_66(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_67(o1, iconst_0, env, static) :|: iconst_0 = 0 && 0 < o1
random_FieldAccess_67(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_68(o1, iconst_0, env, static) :|: 0 <= o1 && o1 <= static && iconst_0 = 0 && 0 <= static && 0 < o1
random_FieldAccess_68(o1, iconst_0, env, static) -{1,1}> random_ArrayAccess_69(o1, iconst_0, env, static) :|: -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static && 0 < o1
random_ArrayAccess_69(a6, iconst_0, env, static) -{0,0}> random_ArrayAccess_70(a6, iconst_0, i5, env, static) :|: i5 < a6 && iconst_0 = 0 && 0 < a6 && 0 <= i5
random_ArrayAccess_70(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_73(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_70(a6, iconst_0, i6, env, static) -{0,0}> random_ArrayAccess_74(a6, iconst_0, i6, env, static) :|: 0 <= i6 && 1 <= i6 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_74(a6, iconst_0, i6, env, static) -{1,1}> random_Store_78(o7, a6, iconst_0, i6, env, static) :|: 1 <= i6 && o7 < a6 && iconst_0 = 0 && 0 <= o7 && 0 < a6
random_Store_78(o7, a6, iconst_0, i6, env, static) -{1,1}> random_FieldAccess_80(o7, a6, iconst_0, i6, env, static) :|: 1 <= i6 && iconst_0 = 0 && 0 <= o7 && 0 < a6
random_FieldAccess_80(o7, a6, iconst_0, i6, env, static) -{1,1}> random_ConstantStackPush_84(iconst_0, o7, a6, i6, env, static) :|: 1 <= i6 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= o7 && 0 <= static && 0 < a6 && iconst_0 <= static
random_ConstantStackPush_84(iconst_0, o7, a6, i6, env, static) -{1,1}> random_IntArithmetic_88(iconst_0, iconst_1, o7, a6, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && iconst_0 = 0 && 0 <= o7 && 0 < a6
random_IntArithmetic_88(iconst_0, iconst_1, o7, a6, i6, env, static) -{1,1}> random_FieldAccess_90(iconst_1, o7, a6, iconst_0, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && iconst_0 = 0 && 0 <= o7 && 0 < a6
random_FieldAccess_90(iconst_1, o7, a6, iconst_0, i6, env, static) -{1,1}> random_Load_94(o7, a6, iconst_1, i6, env, static') :|: 1 <= i6 && iconst_1 = 1 && iconst_0 = 0 && 0 <= o7 && 0 <= static && 0 < a6 && static' <= static + iconst_1
random_Load_94(o7, a6, iconst_1, i6, env, static) -{1,1}> random_InvokeMethod_100(o7, a6, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 <= o7 && 0 < a6
random_InvokeMethod_100(o12, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_102(o12, a6, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6
random_InvokeMethod_100(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_103(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
random_InvokeMethod_102(o12, a6, iconst_1, i6, env, static) -{1,1}> random_Return_106(i8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && i8 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_Return_106(i8, a6, iconst_1, i6, env, static) -{1,1}> main_Store_112(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_Store_112(a6, i8, iconst_1, i6, env, static) -{1,1}> main_InvokeMethod_116(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_InvokeMethod_116(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_137(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_FieldAccess_137(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_141(a6, i8, iconst_1, i6, env, static) :|: 0 <= a6 && 1 <= i6 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8
random_FieldAccess_141(a6, i8, iconst_1, i6, env, static) -{1,1}> random_ArrayAccess_143(a6, iconst_1, i8, i6, env, static) :|: -1 * static <= iconst_1 && 1 <= i6 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8
random_ArrayAccess_143(a6, iconst_1, i8, iconst_1, env, static) -{0,0}> random_ArrayAccess_150(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_ArrayAccess_143(a6, iconst_1, i8, i12, env, static) -{0,0}> random_ArrayAccess_152(a6, iconst_1, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i12
random_ArrayAccess_152(a6, iconst_1, i8, i12, env, static) -{1,1}> random_Store_161(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && o25 < a6 && 0 < a6 && 0 <= i8 && 0 <= o25
random_Store_161(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_FieldAccess_164(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_FieldAccess_164(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_ConstantStackPush_174(iconst_1, o25, a6, i8, i12, env, static) :|: -1 * static <= iconst_1 && 2 <= i12 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8 && 0 <= o25
random_ConstantStackPush_174(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_IntArithmetic_185(iconst_1, o25, a6, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_IntArithmetic_185(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_FieldAccess_189(iconst_2, o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2
random_FieldAccess_189(iconst_2, o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_Load_202(o25, a6, i8, iconst_2, i12, env, static') :|: 2 <= i12 && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2 && static' <= static + iconst_2
random_Load_202(o25, a6, i8, iconst_2, i12, env, static) -{1,1}> random_InvokeMethod_225(o25, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2
random_InvokeMethod_225(o52, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_232(o52, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < o52 && 0 < a6 && 0 <= i8 && 0 <= o52 && iconst_2 = 2
random_InvokeMethod_225(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_234(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_232(o52, a6, i8, iconst_2, i12, env, static) -{1,1}> random_Return_245(i21, a6, i8, iconst_2, i12, env, static) :|: 0 <= i21 && i21 <= o52 && 2 <= i12 && 0 < o52 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_Return_245(i21, a6, i8, iconst_2, i12, env, static) -{1,1}> main_Store_256(a6, i21, i8, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Store_256(a6, i21, i8, iconst_2, i12, env, static) -{1,1}> main_InvokeMethod_260(a6, i8, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_InvokeMethod_260(a6, i8, i21, iconst_2, i12, env, static) -{1,1}> random_FieldAccess_286(a6, i8, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_286(a6, i8, i21, iconst_2, i12, env, static) -{1,1}> random_FieldAccess_307(a6, i8, i21, iconst_2, i12, env, static) :|: 0 <= a6 && 0 <= i21 && 2 <= i12 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_307(a6, i8, i21, iconst_2, i12, env, static) -{1,1}> random_ArrayAccess_310(a6, iconst_2, i8, i21, i12, env, static) :|: -1 * static <= iconst_2 && 0 <= i21 && 2 <= i12 && iconst_2 <= static && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ArrayAccess_310(a6, iconst_2, i8, i21, iconst_2, env, static) -{0,0}> random_ArrayAccess_314(a6, iconst_2, i8, i21, env, static) :|: 0 <= i21 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2
random_ArrayAccess_310(a6, iconst_2, i8, i21, i33, env, static) -{0,0}> random_ArrayAccess_315(a6, iconst_2, i8, i21, i33, env, static) :|: 3 <= i33 && 0 <= i21 && 2 <= i33 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ArrayAccess_315(a6, iconst_2, i8, i21, i33, env, static) -{1,1}> random_Store_320(o95, a6, i8, i21, iconst_2, i33, env, static) :|: 0 <= o95 && 3 <= i33 && 0 <= i21 && o95 < a6 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_Store_320(o95, a6, i8, i21, iconst_2, i33, env, static) -{1,1}> random_FieldAccess_323(o95, a6, i8, i21, iconst_2, i33, env, static) :|: 0 <= o95 && 3 <= i33 && 0 <= i21 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_323(o95, a6, i8, i21, iconst_2, i33, env, static) -{1,1}> random_ConstantStackPush_328(iconst_2, o95, a6, i8, i21, i33, env, static) :|: 0 <= o95 && -1 * static <= iconst_2 && 3 <= i33 && 0 <= i21 && iconst_2 <= static && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ConstantStackPush_328(iconst_2, o95, a6, i8, i21, i33, env, static) -{1,1}> random_IntArithmetic_332(iconst_2, iconst_1, o95, a6, i8, i21, i33, env, static) :|: 0 <= o95 && 3 <= i33 && 0 <= i21 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_IntArithmetic_332(iconst_2, iconst_1, o95, a6, i8, i21, i33, env, static) -{1,1}> random_FieldAccess_334(iconst_3, o95, a6, i8, i21, iconst_2, i33, env, static) :|: 0 <= o95 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_334(iconst_3, o95, a6, i8, i21, iconst_2, i33, env, static) -{1,1}> random_Load_338(o95, a6, i8, i21, iconst_3, i33, env, static') :|: 0 <= o95 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2 && static' <= static + iconst_3
random_Load_338(o95, a6, i8, i21, iconst_3, i33, env, static) -{1,1}> random_InvokeMethod_342(o95, a6, i8, i21, iconst_3, i33, env, static) :|: 0 <= o95 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 < a6 && 0 <= i8
random_InvokeMethod_342(o191, a6, i8, i21, iconst_3, i33, env, static) -{0,0}> random_InvokeMethod_345(o191, a6, i8, i21, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 < a6 && 0 < o191 && 0 <= i8 && 0 <= o191
random_InvokeMethod_342(NULL, a6, i8, i21, iconst_3, i33, env, static) -{0,0}> random_InvokeMethod_346(NULL, a6, i8, i21, iconst_3, i33, env, static) :|: NULL = 0 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= NULL && 0 < a6 && 0 <= i8
random_InvokeMethod_345(o191, a6, i8, i21, iconst_3, i33, env, static) -{1,1}> random_Return_350(i88, a6, i8, i21, iconst_3, i33, env, static) :|: i88 <= o191 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 < o191 && 0 <= i8
random_Return_350(i88, a6, i8, i21, iconst_3, i33, env, static) -{1,1}> main_Store_355(a6, i88, i8, i21, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 <= i8
main_Store_355(a6, i88, i8, i21, iconst_3, i33, env, static) -{1,1}> main_Load_359(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 <= i8
main_Load_359(a6, i8, i21, i88, iconst_3, i33, env, static) -{1,1}> main_Load_363(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 <= i8
main_Load_363(a6, i8, i21, i88, iconst_3, i33, env, static) -{1,1}> main_GE_368(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 <= i8
main_GE_368(a6, i8, i21, i88, iconst_3, i33, env, static) -{0,0}> main_GE_372(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && i21 <= i8 && 0 < a6 && 0 <= i8
main_GE_368(a6, i8, i21, i88, iconst_3, i33, env, static) -{0,0}> main_GE_374(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && i8 < i21 && 0 < a6 && 0 <= i8
main_GE_374(a6, i8, i21, i88, iconst_3, i33, env, static) -{1,1}> main_Load_382(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 1 <= i21 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && i8 < i21 && 0 < a6 && 0 <= i8
main_Load_382(a6, i8, i21, i88, iconst_3, i33, env, static) -{1,1}> main_Load_398(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 1 <= i21 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 <= i8
main_Load_398(a6, i8, i21, i88, iconst_3, i33, env, static) -{1,1}> main_GE_402(a6, i8, i88, i21, iconst_3, i33, env, static) :|: 1 <= i21 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 <= i8
main_GE_402(a6, i8, i88, i21, iconst_3, i33, env, static) -{0,0}> main_GE_410(a6, i8, i88, i21, iconst_3, i33, env, static) :|: 1 <= i21 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && i88 <= i8 && 0 < a6 && 0 <= i8
main_GE_402(a6, i8, i88, i21, iconst_3, i33, env, static) -{0,0}> main_GE_411(a6, i8, i88, i21, iconst_3, i33, env, static) :|: 1 <= i21 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && i8 < i88 && 0 < a6 && 0 <= i8
main_GE_410(a6, i8, i88, i21, iconst_3, i33, env, static) -{1,1}> main_Inc_420(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 1 <= i21 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && i88 <= i8 && 0 < a6 && 0 <= i8
main_GE_411(a6, i8, i88, i21, iconst_3, i33, env, static) -{1,1}> main_Inc_425(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 1 <= i21 && 1 <= i88 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && i8 < i88 && 0 < a6 && 0 <= i8
main_Inc_420(a6, i8, i21, i88, iconst_3, i33, env, static) -{1,1}> main_JMP_436(a6, i8, i21, i99, iconst_3, i33, env, static) :|: 1 <= i21 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 <= i8 && i88 + 1 = i99 && 1 <= i99
main_Inc_425(a6, i8, i21, i88, iconst_3, i33, env, static) -{1,1}> main_JMP_439(a6, i100, i21, i88, iconst_3, i33, env, static) :|: 1 <= i21 && 1 <= i88 && 3 <= i33 && iconst_3 = 3 && 1 <= i100 && 0 < a6 && 0 <= i8 && i8 + 1 = i100
main_JMP_436(a6, i8, i21, i99, iconst_3, i33, env, static) -{1,1}> main_Load_442(a6, i8, i21, i99, iconst_3, i33, env, static) :|: 1 <= i21 && 3 <= i33 && iconst_3 = 3 && 0 < a6 && 0 <= i8 && 1 <= i99
main_JMP_439(a6, i100, i21, i88, iconst_3, i33, env, static) -{1,1}> main_Load_447(a6, i100, i21, i88, iconst_3, i33, env, static) :|: 1 <= i21 && 1 <= i88 && 3 <= i33 && iconst_3 = 3 && 1 <= i100 && 0 < a6
main_Load_442(a6, i8, i21, i99, iconst_3, i33, env, static) -{0,0}> main_Load_359(a6, i8, i21, i99, iconst_3, i33, env, static) :|: 1 <= i21 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 < a6 && 0 <= i99 && 0 <= i8 && 1 <= i99
main_Load_447(a6, i100, i21, i88, iconst_3, i33, env, static) -{0,0}> main_Load_359(a6, i100, i21, i88, iconst_3, i33, env, static) :|: 1 <= i21 && 1 <= i88 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && 0 <= i100 && 1 <= i100 && 0 < a6

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

obtained
main_Load_2(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i5', env, static'3) :|: static'1 <= static''' + 1 && 0 <= i5' && 0 <= 2 && 0 < o1 && 0 <= static'2 && i5' < o1 && 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_5(o1, env, static) :|: 0 < o1
langle_clinit_rangle_ConstantStackPush_5(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_13(a2, o1, iconst_0, env, static) :|: a2 = 2 && iconst_0 = 0 && 0 < a2 && 0 < o1
langle_clinit_rangle_FieldAccess_13(a2, o1, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_16(o1, env, static') :|: 0 <= a2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2 && 0 < o1
langle_clinit_rangle_New_16(o1, env, static) -{0,0}> langle_clinit_rangle_New_17(o1, env, static) :|: 0 < o1
langle_clinit_rangle_New_17(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_21(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_ConstantStackPush_21(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_24(o4, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_init_rangle_Load_24(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_26(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_26(o4, o1, env, static) -{1,1}> langle_init_rangle_Load_28(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Load_28(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_30(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_30(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_32(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_32(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_34(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_34(o4, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_36(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_FieldAccess_36(o4, o1, env, static) -{1,1}> langle_clinit_rangle_Return_39(o1, env, static') :|: 0 <= o4 && 0 < o4 && 0 <= static && 0 < o1 && static' <= static + o4
langle_clinit_rangle_Return_39(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_56(o1, env, static) :|: 0 <= static && 0 < o1
main_Load_56(o1, env, static) -{0,0}> main_Load_57(o1, env, static) :|: 0 < o1
main_Load_57(o1, env, static) -{0,0}> main_Load_58(o1, env, static) :|: 0 < o1
main_Load_58(o1, env, static) -{1,1}> main_FieldAccess_59(o1, env, static) :|: 0 < o1
main_FieldAccess_59(o1, env, static) -{0,0}> main_FieldAccess_60(o1, env, static) :|: 0 < o1
main_FieldAccess_60(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_61(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ConstantStackPush_61(o1, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_62(iconst_0, o1, NULL, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_FieldAccess_62(iconst_0, o1, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_63(o1, NULL, iconst_0, env, static') :|: NULL = 0 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0 && 0 < o1
langle_clinit_rangle_Return_63(o1, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_64(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
main_FieldAccess_64(o1, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_66(o1, iconst_0, env, static') :|: static' <= static + o1 && NULL = 0 && 0 <= o1 && iconst_0 = 0 && 0 <= static && 0 < o1
main_InvokeMethod_66(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_67(o1, iconst_0, env, static) :|: iconst_0 = 0 && 0 < o1
random_FieldAccess_67(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_68(o1, iconst_0, env, static) :|: 0 <= o1 && o1 <= static && iconst_0 = 0 && 0 <= static && 0 < o1
random_FieldAccess_68(o1, iconst_0, env, static) -{1,1}> random_ArrayAccess_69(o1, iconst_0, env, static) :|: -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static && 0 < o1
random_ArrayAccess_69(a6, iconst_0, env, static) -{0,0}> random_ArrayAccess_70(a6, iconst_0, i5, env, static) :|: i5 < a6 && iconst_0 = 0 && 0 < a6 && 0 <= i5

obtained
random_ArrayAccess_70(a6, 0, i6, env, static) -{7,7}> random_InvokeMethod_100(o7', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 0 <= o7' && 0 <= static && 1 <= i6 && o7' < a6 && -1 * static <= 0 && static'4 <= static + 1
by chaining
random_ArrayAccess_70(a6, iconst_0, i6, env, static) -{0,0}> random_ArrayAccess_74(a6, iconst_0, i6, env, static) :|: 0 <= i6 && 1 <= i6 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_74(a6, iconst_0, i6, env, static) -{1,1}> random_Store_78(o7, a6, iconst_0, i6, env, static) :|: 1 <= i6 && o7 < a6 && iconst_0 = 0 && 0 <= o7 && 0 < a6
random_Store_78(o7, a6, iconst_0, i6, env, static) -{1,1}> random_FieldAccess_80(o7, a6, iconst_0, i6, env, static) :|: 1 <= i6 && iconst_0 = 0 && 0 <= o7 && 0 < a6
random_FieldAccess_80(o7, a6, iconst_0, i6, env, static) -{1,1}> random_ConstantStackPush_84(iconst_0, o7, a6, i6, env, static) :|: 1 <= i6 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= o7 && 0 <= static && 0 < a6 && iconst_0 <= static
random_ConstantStackPush_84(iconst_0, o7, a6, i6, env, static) -{1,1}> random_IntArithmetic_88(iconst_0, iconst_1, o7, a6, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && iconst_0 = 0 && 0 <= o7 && 0 < a6
random_IntArithmetic_88(iconst_0, iconst_1, o7, a6, i6, env, static) -{1,1}> random_FieldAccess_90(iconst_1, o7, a6, iconst_0, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && iconst_0 = 0 && 0 <= o7 && 0 < a6
random_FieldAccess_90(iconst_1, o7, a6, iconst_0, i6, env, static) -{1,1}> random_Load_94(o7, a6, iconst_1, i6, env, static') :|: 1 <= i6 && iconst_1 = 1 && iconst_0 = 0 && 0 <= o7 && 0 <= static && 0 < a6 && static' <= static + iconst_1
random_Load_94(o7, a6, iconst_1, i6, env, static) -{1,1}> random_InvokeMethod_100(o7, a6, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 <= o7 && 0 < a6

obtained
random_InvokeMethod_100(o12, a6, 1, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o12 && 0 < a6 && a6 <= static && 0 <= static && 0 <= o12 && 1 <= static && -1 * static <= 1 && 1 <= i6 && 0 < o12
by chaining
random_InvokeMethod_100(o12, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_102(o12, a6, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6
random_InvokeMethod_102(o12, a6, iconst_1, i6, env, static) -{1,1}> random_Return_106(i8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && i8 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_Return_106(i8, a6, iconst_1, i6, env, static) -{1,1}> main_Store_112(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_Store_112(a6, i8, iconst_1, i6, env, static) -{1,1}> main_InvokeMethod_116(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_InvokeMethod_116(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_137(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_FieldAccess_137(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_141(a6, i8, iconst_1, i6, env, static) :|: 0 <= a6 && 1 <= i6 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8
random_FieldAccess_141(a6, i8, iconst_1, i6, env, static) -{1,1}> random_ArrayAccess_143(a6, iconst_1, i8, i6, env, static) :|: -1 * static <= iconst_1 && 1 <= i6 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8

obtained
random_ArrayAccess_143(a6, 1, i8, i12, env, static) -{7,7}> random_InvokeMethod_225(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2
by chaining
random_ArrayAccess_143(a6, iconst_1, i8, i12, env, static) -{0,0}> random_ArrayAccess_152(a6, iconst_1, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i12
random_ArrayAccess_152(a6, iconst_1, i8, i12, env, static) -{1,1}> random_Store_161(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && o25 < a6 && 0 < a6 && 0 <= i8 && 0 <= o25
random_Store_161(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_FieldAccess_164(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_FieldAccess_164(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_ConstantStackPush_174(iconst_1, o25, a6, i8, i12, env, static) :|: -1 * static <= iconst_1 && 2 <= i12 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8 && 0 <= o25
random_ConstantStackPush_174(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_IntArithmetic_185(iconst_1, o25, a6, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_IntArithmetic_185(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_FieldAccess_189(iconst_2, o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2
random_FieldAccess_189(iconst_2, o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_Load_202(o25, a6, i8, iconst_2, i12, env, static') :|: 2 <= i12 && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2 && static' <= static + iconst_2
random_Load_202(o25, a6, i8, iconst_2, i12, env, static) -{1,1}> random_InvokeMethod_225(o25, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2

obtained
random_InvokeMethod_225(o52, a6, i8, 2, i12, env, static) -{6,6}> random_ArrayAccess_310(a6, 2, i8, i21', i12, env, static) :|: 0 <= a6 && 0 <= i21' && 0 <= i8 && i21' <= o52 && 0 < a6 && a6 <= static && 0 <= static && 2 <= static && 2 <= i12 && -1 * static <= 2 && 0 < o52 && 0 <= o52
by chaining
random_InvokeMethod_225(o52, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_232(o52, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < o52 && 0 < a6 && 0 <= i8 && 0 <= o52 && iconst_2 = 2
random_InvokeMethod_232(o52, a6, i8, iconst_2, i12, env, static) -{1,1}> random_Return_245(i21, a6, i8, iconst_2, i12, env, static) :|: 0 <= i21 && i21 <= o52 && 2 <= i12 && 0 < o52 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_Return_245(i21, a6, i8, iconst_2, i12, env, static) -{1,1}> main_Store_256(a6, i21, i8, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Store_256(a6, i21, i8, iconst_2, i12, env, static) -{1,1}> main_InvokeMethod_260(a6, i8, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_InvokeMethod_260(a6, i8, i21, iconst_2, i12, env, static) -{1,1}> random_FieldAccess_286(a6, i8, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_286(a6, i8, i21, iconst_2, i12, env, static) -{1,1}> random_FieldAccess_307(a6, i8, i21, iconst_2, i12, env, static) :|: 0 <= a6 && 0 <= i21 && 2 <= i12 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_307(a6, i8, i21, iconst_2, i12, env, static) -{1,1}> random_ArrayAccess_310(a6, iconst_2, i8, i21, i12, env, static) :|: -1 * static <= iconst_2 && 0 <= i21 && 2 <= i12 && iconst_2 <= static && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2

obtained
random_ArrayAccess_310(a6, 2, i8, i21, i33, env, static) -{7,7}> random_InvokeMethod_342(o95', a6, i8, i21, 3, i33, env, static'6) :|: 2 <= i33 && 0 <= i8 && o95' < a6 && 0 < a6 && 3 <= i33 && 0 <= static && 0 <= i21 && 0 <= o95' && 2 <= static && -1 * static <= 2 && static'6 <= static + 3
by chaining
random_ArrayAccess_310(a6, iconst_2, i8, i21, i33, env, static) -{0,0}> random_ArrayAccess_315(a6, iconst_2, i8, i21, i33, env, static) :|: 3 <= i33 && 0 <= i21 && 2 <= i33 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ArrayAccess_315(a6, iconst_2, i8, i21, i33, env, static) -{1,1}> random_Store_320(o95, a6, i8, i21, iconst_2, i33, env, static) :|: 0 <= o95 && 3 <= i33 && 0 <= i21 && o95 < a6 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_Store_320(o95, a6, i8, i21, iconst_2, i33, env, static) -{1,1}> random_FieldAccess_323(o95, a6, i8, i21, iconst_2, i33, env, static) :|: 0 <= o95 && 3 <= i33 && 0 <= i21 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_323(o95, a6, i8, i21, iconst_2, i33, env, static) -{1,1}> random_ConstantStackPush_328(iconst_2, o95, a6, i8, i21, i33, env, static) :|: 0 <= o95 && -1 * static <= iconst_2 && 3 <= i33 && 0 <= i21 && iconst_2 <= static && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ConstantStackPush_328(iconst_2, o95, a6, i8, i21, i33, env, static) -{1,1}> random_IntArithmetic_332(iconst_2, iconst_1, o95, a6, i8, i21, i33, env, static) :|: 0 <= o95 && 3 <= i33 && 0 <= i21 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_IntArithmetic_332(iconst_2, iconst_1, o95, a6, i8, i21, i33, env, static) -{1,1}> random_FieldAccess_334(iconst_3, o95, a6, i8, i21, iconst_2, i33, env, static) :|: 0 <= o95 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_334(iconst_3, o95, a6, i8, i21, iconst_2, i33, env, static) -{1,1}> random_Load_338(o95, a6, i8, i21, iconst_3, i33, env, static') :|: 0 <= o95 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2 && static' <= static + iconst_3
random_Load_338(o95, a6, i8, i21, iconst_3, i33, env, static) -{1,1}> random_InvokeMethod_342(o95, a6, i8, i21, iconst_3, i33, env, static) :|: 0 <= o95 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 < a6 && 0 <= i8

obtained
random_InvokeMethod_342(o191, a6, i8, i21, 3, i33, env, static) -{3,3}> main_Load_359(a6, i8, i21, i88', 3, i33, env, static) :|: 0 <= o191 && 0 <= i8 && 0 < o191 && 0 < a6 && 0 <= i88' && 3 <= i33 && 0 <= i21 && i88' <= o191
by chaining
random_InvokeMethod_342(o191, a6, i8, i21, iconst_3, i33, env, static) -{0,0}> random_InvokeMethod_345(o191, a6, i8, i21, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 < a6 && 0 < o191 && 0 <= i8 && 0 <= o191
random_InvokeMethod_345(o191, a6, i8, i21, iconst_3, i33, env, static) -{1,1}> random_Return_350(i88, a6, i8, i21, iconst_3, i33, env, static) :|: i88 <= o191 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 < o191 && 0 <= i8
random_Return_350(i88, a6, i8, i21, iconst_3, i33, env, static) -{1,1}> main_Store_355(a6, i88, i8, i21, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 <= i8
main_Store_355(a6, i88, i8, i21, iconst_3, i33, env, static) -{1,1}> main_Load_359(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 <= i8

obtained
main_Load_359(a6, i8, i21, i88, 3, i33, env, static) -{2,2}> main_GE_368(a6, i8, i21, i88, 3, i33, env, static) :|: 0 <= i8 && 0 < a6 && 0 <= i88 && 3 <= i33 && 0 <= i21
by chaining
main_Load_359(a6, i8, i21, i88, iconst_3, i33, env, static) -{1,1}> main_Load_363(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 <= i8
main_Load_363(a6, i8, i21, i88, iconst_3, i33, env, static) -{1,1}> main_GE_368(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 <= i8

obtained
main_GE_368(a6, i8, i21, i88, 3, i33, env, static) -{3,3}> main_GE_402(a6, i8, i88, i21, 3, i33, env, static) :|: i8 < i21 && 0 <= i8 && 0 <= i88 && 0 < a6 && 3 <= i33 && 0 <= i21 && 1 <= i21
by chaining
main_GE_368(a6, i8, i21, i88, iconst_3, i33, env, static) -{0,0}> main_GE_374(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && i8 < i21 && 0 < a6 && 0 <= i8
main_GE_374(a6, i8, i21, i88, iconst_3, i33, env, static) -{1,1}> main_Load_382(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 1 <= i21 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && i8 < i21 && 0 < a6 && 0 <= i8
main_Load_382(a6, i8, i21, i88, iconst_3, i33, env, static) -{1,1}> main_Load_398(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 1 <= i21 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 <= i8
main_Load_398(a6, i8, i21, i88, iconst_3, i33, env, static) -{1,1}> main_GE_402(a6, i8, i88, i21, iconst_3, i33, env, static) :|: 1 <= i21 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 <= i8

obtained
main_GE_402(a6, i8, i88, i21, 3, i33, env, static) -{3,3}> main_Load_359(a6, i100', i21, i88, 3, i33, env, static) :|: i8 + 1 = i100' && 0 < a6 && 0 <= i8 && 1 <= i100' && 1 <= i88 && 0 <= i100' && 1 <= i21 && 0 <= i88 && 3 <= i33 && 0 <= i21 && i8 < i88
by chaining
main_GE_402(a6, i8, i88, i21, iconst_3, i33, env, static) -{0,0}> main_GE_411(a6, i8, i88, i21, iconst_3, i33, env, static) :|: 1 <= i21 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && i8 < i88 && 0 < a6 && 0 <= i8
main_GE_411(a6, i8, i88, i21, iconst_3, i33, env, static) -{1,1}> main_Inc_425(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 1 <= i21 && 1 <= i88 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && i8 < i88 && 0 < a6 && 0 <= i8
main_Inc_425(a6, i8, i21, i88, iconst_3, i33, env, static) -{1,1}> main_JMP_439(a6, i100, i21, i88, iconst_3, i33, env, static) :|: 1 <= i21 && 1 <= i88 && 3 <= i33 && iconst_3 = 3 && 1 <= i100 && 0 < a6 && 0 <= i8 && i8 + 1 = i100
main_JMP_439(a6, i100, i21, i88, iconst_3, i33, env, static) -{1,1}> main_Load_447(a6, i100, i21, i88, iconst_3, i33, env, static) :|: 1 <= i21 && 1 <= i88 && 3 <= i33 && iconst_3 = 3 && 1 <= i100 && 0 < a6
main_Load_447(a6, i100, i21, i88, iconst_3, i33, env, static) -{0,0}> main_Load_359(a6, i100, i21, i88, iconst_3, i33, env, static) :|: 1 <= i21 && 1 <= i88 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && 0 <= i100 && 1 <= i100 && 0 < a6

obtained
main_GE_402(a6, i8, i88, i21, 3, i33, env, static) -{3,3}> main_Load_359(a6, i8, i21, i99', 3, i33, env, static) :|: 3 <= i33 && 1 <= i99' && 1 <= i21 && 0 <= i8 && i88 + 1 = i99' && 0 <= i99' && 0 <= i88 && 0 < a6 && i88 <= i8 && 0 <= i21
by chaining
main_GE_402(a6, i8, i88, i21, iconst_3, i33, env, static) -{0,0}> main_GE_410(a6, i8, i88, i21, iconst_3, i33, env, static) :|: 1 <= i21 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && i88 <= i8 && 0 < a6 && 0 <= i8
main_GE_410(a6, i8, i88, i21, iconst_3, i33, env, static) -{1,1}> main_Inc_420(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 1 <= i21 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && i88 <= i8 && 0 < a6 && 0 <= i8
main_Inc_420(a6, i8, i21, i88, iconst_3, i33, env, static) -{1,1}> main_JMP_436(a6, i8, i21, i99, iconst_3, i33, env, static) :|: 1 <= i21 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 <= i8 && i88 + 1 = i99 && 1 <= i99
main_JMP_436(a6, i8, i21, i99, iconst_3, i33, env, static) -{1,1}> main_Load_442(a6, i8, i21, i99, iconst_3, i33, env, static) :|: 1 <= i21 && 3 <= i33 && iconst_3 = 3 && 0 < a6 && 0 <= i8 && 1 <= i99
main_Load_442(a6, i8, i21, i99, iconst_3, i33, env, static) -{0,0}> main_Load_359(a6, i8, i21, i99, iconst_3, i33, env, static) :|: 1 <= i21 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 < a6 && 0 <= i99 && 0 <= i8 && 1 <= i99

(34) 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, i5', env, static'3) :|: static'1 <= static''' + 1 && 0 <= i5' && 0 <= 2 && 0 < o1 && 0 <= static'2 && i5' < o1 && 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_73(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_100(o7', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 0 <= o7' && 0 <= static && 1 <= i6 && o7' < a6 && -1 * static <= 0 && static'4 <= static + 1
random_InvokeMethod_100(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_103(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
random_InvokeMethod_100(o12, a6, 1, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o12 && 0 < a6 && a6 <= static && 0 <= static && 0 <= o12 && 1 <= static && -1 * static <= 1 && 1 <= i6 && 0 < o12
random_ArrayAccess_143(a6, iconst_1, i8, iconst_1, env, static) -{0,0}> random_ArrayAccess_150(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_ArrayAccess_143(a6, 1, i8, i12, env, static) -{7,7}> random_InvokeMethod_225(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2
random_InvokeMethod_225(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_234(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_225(o52, a6, i8, 2, i12, env, static) -{6,6}> random_ArrayAccess_310(a6, 2, i8, i21', i12, env, static) :|: 0 <= a6 && 0 <= i21' && 0 <= i8 && i21' <= o52 && 0 < a6 && a6 <= static && 0 <= static && 2 <= static && 2 <= i12 && -1 * static <= 2 && 0 < o52 && 0 <= o52
random_ArrayAccess_310(a6, iconst_2, i8, i21, iconst_2, env, static) -{0,0}> random_ArrayAccess_314(a6, iconst_2, i8, i21, env, static) :|: 0 <= i21 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2
random_ArrayAccess_310(a6, 2, i8, i21, i33, env, static) -{7,7}> random_InvokeMethod_342(o95', a6, i8, i21, 3, i33, env, static'6) :|: 2 <= i33 && 0 <= i8 && o95' < a6 && 0 < a6 && 3 <= i33 && 0 <= static && 0 <= i21 && 0 <= o95' && 2 <= static && -1 * static <= 2 && static'6 <= static + 3
random_InvokeMethod_342(NULL, a6, i8, i21, iconst_3, i33, env, static) -{0,0}> random_InvokeMethod_346(NULL, a6, i8, i21, iconst_3, i33, env, static) :|: NULL = 0 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= NULL && 0 < a6 && 0 <= i8
random_InvokeMethod_342(o191, a6, i8, i21, 3, i33, env, static) -{3,3}> main_Load_359(a6, i8, i21, i88', 3, i33, env, static) :|: 0 <= o191 && 0 <= i8 && 0 < o191 && 0 < a6 && 0 <= i88' && 3 <= i33 && 0 <= i21 && i88' <= o191
main_Load_359(a6, i8, i21, i88, 3, i33, env, static) -{2,2}> main_GE_368(a6, i8, i21, i88, 3, i33, env, static) :|: 0 <= i8 && 0 < a6 && 0 <= i88 && 3 <= i33 && 0 <= i21
main_GE_368(a6, i8, i21, i88, iconst_3, i33, env, static) -{0,0}> main_GE_372(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && i21 <= i8 && 0 < a6 && 0 <= i8
main_GE_368(a6, i8, i21, i88, 3, i33, env, static) -{3,3}> main_GE_402(a6, i8, i88, i21, 3, i33, env, static) :|: i8 < i21 && 0 <= i8 && 0 <= i88 && 0 < a6 && 3 <= i33 && 0 <= i21 && 1 <= i21
main_GE_402(a6, i8, i88, i21, 3, i33, env, static) -{3,3}> main_Load_359(a6, i100', i21, i88, 3, i33, env, static) :|: i8 + 1 = i100' && 0 < a6 && 0 <= i8 && 1 <= i100' && 1 <= i88 && 0 <= i100' && 1 <= i21 && 0 <= i88 && 3 <= i33 && 0 <= i21 && i8 < i88
main_GE_402(a6, i8, i88, i21, 3, i33, env, static) -{3,3}> main_Load_359(a6, i8, i21, i99', 3, i33, env, static) :|: 3 <= i33 && 1 <= i99' && 1 <= i21 && 0 <= i8 && i88 + 1 = i99' && 0 <= i99' && 0 <= i88 && 0 < a6 && i88 <= i8 && 0 <= i21

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

Moved arithmethic from lhss to constraints.

random_ArrayAccess_143(a6, 1, i8, i12, env, static) -{7,7}> random_InvokeMethod_225(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2
was transformed to
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_225(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1

main_Load_359(a6, i8, i21, i88, 3, i33, env, static) -{2,2}> main_GE_368(a6, i8, i21, i88, 3, i33, env, static) :|: 0 <= i8 && 0 < a6 && 0 <= i88 && 3 <= i33 && 0 <= i21
was transformed to
main_Load_359(a6, i8, i21, i88, x, i33, env, static) -{2,2}> main_GE_368(a6, i8, i21, i88, 3, i33, env, static) :|: 0 <= i8 && 0 < a6 && 0 <= i88 && 3 <= i33 && 0 <= i21 && x = 3

random_ArrayAccess_70(a6, 0, i6, env, static) -{7,7}> random_InvokeMethod_100(o7', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 0 <= o7' && 0 <= static && 1 <= i6 && o7' < a6 && -1 * static <= 0 && static'4 <= static + 1
was transformed to
random_ArrayAccess_70(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_100(o7', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 0 <= o7' && 0 <= static && 1 <= i6 && o7' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0

random_ArrayAccess_310(a6, 2, i8, i21, i33, env, static) -{7,7}> random_InvokeMethod_342(o95', a6, i8, i21, 3, i33, env, static'6) :|: 2 <= i33 && 0 <= i8 && o95' < a6 && 0 < a6 && 3 <= i33 && 0 <= static && 0 <= i21 && 0 <= o95' && 2 <= static && -1 * static <= 2 && static'6 <= static + 3
was transformed to
random_ArrayAccess_310(a6, x, i8, i21, i33, env, static) -{7,7}> random_InvokeMethod_342(o95', a6, i8, i21, 3, i33, env, static'6) :|: 2 <= i33 && 0 <= i8 && o95' < a6 && 0 < a6 && 3 <= i33 && 0 <= static && 0 <= i21 && 0 <= o95' && 2 <= static && -1 * static <= 2 && static'6 <= static + 3 && x = 2

main_GE_402(a6, i8, i88, i21, 3, i33, env, static) -{3,3}> main_Load_359(a6, i100', i21, i88, 3, i33, env, static) :|: i8 + 1 = i100' && 0 < a6 && 0 <= i8 && 1 <= i100' && 1 <= i88 && 0 <= i100' && 1 <= i21 && 0 <= i88 && 3 <= i33 && 0 <= i21 && i8 < i88
was transformed to
main_GE_402(a6, i8, i88, i21, x, i33, env, static) -{3,3}> main_Load_359(a6, i100', i21, i88, 3, i33, env, static) :|: i8 + 1 = i100' && 0 < a6 && 0 <= i8 && 1 <= i100' && 1 <= i88 && 0 <= i100' && 1 <= i21 && 0 <= i88 && 3 <= i33 && 0 <= i21 && i8 < i88 && x = 3

random_InvokeMethod_342(o191, a6, i8, i21, 3, i33, env, static) -{3,3}> main_Load_359(a6, i8, i21, i88', 3, i33, env, static) :|: 0 <= o191 && 0 <= i8 && 0 < o191 && 0 < a6 && 0 <= i88' && 3 <= i33 && 0 <= i21 && i88' <= o191
was transformed to
random_InvokeMethod_342(o191, a6, i8, i21, x, i33, env, static) -{3,3}> main_Load_359(a6, i8, i21, i88', 3, i33, env, static) :|: 0 <= o191 && 0 <= i8 && 0 < o191 && 0 < a6 && 0 <= i88' && 3 <= i33 && 0 <= i21 && i88' <= o191 && x = 3

main_GE_368(a6, i8, i21, i88, 3, i33, env, static) -{3,3}> main_GE_402(a6, i8, i88, i21, 3, i33, env, static) :|: i8 < i21 && 0 <= i8 && 0 <= i88 && 0 < a6 && 3 <= i33 && 0 <= i21 && 1 <= i21
was transformed to
main_GE_368(a6, i8, i21, i88, x, i33, env, static) -{3,3}> main_GE_402(a6, i8, i88, i21, 3, i33, env, static) :|: i8 < i21 && 0 <= i8 && 0 <= i88 && 0 < a6 && 3 <= i33 && 0 <= i21 && 1 <= i21 && x = 3

main_GE_402(a6, i8, i88, i21, 3, i33, env, static) -{3,3}> main_Load_359(a6, i8, i21, i99', 3, i33, env, static) :|: 3 <= i33 && 1 <= i99' && 1 <= i21 && 0 <= i8 && i88 + 1 = i99' && 0 <= i99' && 0 <= i88 && 0 < a6 && i88 <= i8 && 0 <= i21
was transformed to
main_GE_402(a6, i8, i88, i21, x, i33, env, static) -{3,3}> main_Load_359(a6, i8, i21, i99', 3, i33, env, static) :|: 3 <= i33 && 1 <= i99' && 1 <= i21 && 0 <= i8 && i88 + 1 = i99' && 0 <= i99' && 0 <= i88 && 0 < a6 && i88 <= i8 && 0 <= i21 && x = 3

random_InvokeMethod_100(o12, a6, 1, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o12 && 0 < a6 && a6 <= static && 0 <= static && 0 <= o12 && 1 <= static && -1 * static <= 1 && 1 <= i6 && 0 < o12
was transformed to
random_InvokeMethod_100(o12, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o12 && 0 < a6 && a6 <= static && 0 <= static && 0 <= o12 && 1 <= static && -1 * static <= 1 && 1 <= i6 && 0 < o12 && x = 1

random_InvokeMethod_225(o52, a6, i8, 2, i12, env, static) -{6,6}> random_ArrayAccess_310(a6, 2, i8, i21', i12, env, static) :|: 0 <= a6 && 0 <= i21' && 0 <= i8 && i21' <= o52 && 0 < a6 && a6 <= static && 0 <= static && 2 <= static && 2 <= i12 && -1 * static <= 2 && 0 < o52 && 0 <= o52
was transformed to
random_InvokeMethod_225(o52, a6, i8, x, i12, env, static) -{6,6}> random_ArrayAccess_310(a6, 2, i8, i21', i12, env, static) :|: 0 <= a6 && 0 <= i21' && 0 <= i8 && i21' <= o52 && 0 < a6 && a6 <= static && 0 <= static && 2 <= static && 2 <= i12 && -1 * static <= 2 && 0 < o52 && 0 <= o52 && x = 2

(36) Obligation:

IntTrs with 18 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_225(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
main_Load_359(a6, i8, i21, i88, x, i33, env, static) -{2,2}> main_GE_368(a6, i8, i21, i88, 3, i33, env, static) :|: 0 <= i8 && 0 < a6 && 0 <= i88 && 3 <= i33 && 0 <= i21 && x = 3
random_ArrayAccess_70(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_100(o7', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 0 <= o7' && 0 <= static && 1 <= i6 && o7' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
random_ArrayAccess_310(a6, x, i8, i21, i33, env, static) -{7,7}> random_InvokeMethod_342(o95', a6, i8, i21, 3, i33, env, static'6) :|: 2 <= i33 && 0 <= i8 && o95' < a6 && 0 < a6 && 3 <= i33 && 0 <= static && 0 <= i21 && 0 <= o95' && 2 <= static && -1 * static <= 2 && static'6 <= static + 3 && x = 2
main_GE_402(a6, i8, i88, i21, x, i33, env, static) -{3,3}> main_Load_359(a6, i100', i21, i88, 3, i33, env, static) :|: i8 + 1 = i100' && 0 < a6 && 0 <= i8 && 1 <= i100' && 1 <= i88 && 0 <= i100' && 1 <= i21 && 0 <= i88 && 3 <= i33 && 0 <= i21 && i8 < i88 && x = 3
random_InvokeMethod_100(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_103(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
random_InvokeMethod_225(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_234(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_GE_368(a6, i8, i21, i88, iconst_3, i33, env, static) -{0,0}> main_GE_372(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && i21 <= i8 && 0 < a6 && 0 <= i8
random_ArrayAccess_310(a6, iconst_2, i8, i21, iconst_2, env, static) -{0,0}> random_ArrayAccess_314(a6, iconst_2, i8, i21, env, static) :|: 0 <= i21 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2
main_Load_2(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i5', env, static'3) :|: static'1 <= static''' + 1 && 0 <= i5' && 0 <= 2 && 0 < o1 && 0 <= static'2 && i5' < o1 && 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_InvokeMethod_342(o191, a6, i8, i21, x, i33, env, static) -{3,3}> main_Load_359(a6, i8, i21, i88', 3, i33, env, static) :|: 0 <= o191 && 0 <= i8 && 0 < o191 && 0 < a6 && 0 <= i88' && 3 <= i33 && 0 <= i21 && i88' <= o191 && x = 3
main_GE_368(a6, i8, i21, i88, x, i33, env, static) -{3,3}> main_GE_402(a6, i8, i88, i21, 3, i33, env, static) :|: i8 < i21 && 0 <= i8 && 0 <= i88 && 0 < a6 && 3 <= i33 && 0 <= i21 && 1 <= i21 && x = 3
random_InvokeMethod_342(NULL, a6, i8, i21, iconst_3, i33, env, static) -{0,0}> random_InvokeMethod_346(NULL, a6, i8, i21, iconst_3, i33, env, static) :|: NULL = 0 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= NULL && 0 < a6 && 0 <= i8
random_ArrayAccess_70(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_73(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6
main_GE_402(a6, i8, i88, i21, x, i33, env, static) -{3,3}> main_Load_359(a6, i8, i21, i99', 3, i33, env, static) :|: 3 <= i33 && 1 <= i99' && 1 <= i21 && 0 <= i8 && i88 + 1 = i99' && 0 <= i99' && 0 <= i88 && 0 < a6 && i88 <= i8 && 0 <= i21 && x = 3
random_InvokeMethod_100(o12, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o12 && 0 < a6 && a6 <= static && 0 <= static && 0 <= o12 && 1 <= static && -1 * static <= 1 && 1 <= i6 && 0 < o12 && x = 1
random_ArrayAccess_143(a6, iconst_1, i8, iconst_1, env, static) -{0,0}> random_ArrayAccess_150(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_InvokeMethod_225(o52, a6, i8, x, i12, env, static) -{6,6}> random_ArrayAccess_310(a6, 2, i8, i21', i12, env, static) :|: 0 <= a6 && 0 <= i21' && 0 <= i8 && i21' <= o52 && 0 < a6 && a6 <= static && 0 <= static && 2 <= static && 2 <= i12 && -1 * static <= 2 && 0 < o52 && 0 <= o52 && x = 2

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

Linearized lhss.

random_ArrayAccess_310(a6, iconst_2, i8, i21, iconst_2, env, static) -{0,0}> random_ArrayAccess_314(a6, iconst_2, i8, i21, env, static) :|: 0 <= i21 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2
was transformed to
random_ArrayAccess_310(a6, iconst_2, i8, i21, x, env, static) -{0,0}> random_ArrayAccess_314(a6, iconst_2, i8, i21, env, static) :|: 0 <= i21 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2 && x = iconst_2

random_ArrayAccess_70(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_73(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_73(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0

random_ArrayAccess_143(a6, iconst_1, i8, iconst_1, env, static) -{0,0}> random_ArrayAccess_150(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8
was transformed to
random_ArrayAccess_143(a6, iconst_1, i8, x, env, static) -{0,0}> random_ArrayAccess_150(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && x = iconst_1

(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_GE_402(a6, i8, i88, i21, x, i33, env, static) -{3,3}> main_Load_359(a6, i8, i21, i99', 3, i33, env, static) :|: 3 <= i33 && 1 <= i99' && 1 <= i21 && 0 <= i8 && i88 + 1 = i99' && 0 <= i99' && 0 <= i88 && 0 < a6 && i88 <= i8 && 0 <= i21 && x = 3
main_GE_402(a6, i8, i88, i21, x, i33, env, static) -{3,3}> main_Load_359(a6, i100', i21, i88, 3, i33, env, static) :|: i8 + 1 = i100' && 0 < a6 && 0 <= i8 && 1 <= i100' && 1 <= i88 && 0 <= i100' && 1 <= i21 && 0 <= i88 && 3 <= i33 && 0 <= i21 && i8 < i88 && x = 3
random_InvokeMethod_100(o12, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o12 && 0 < a6 && a6 <= static && 0 <= static && 0 <= o12 && 1 <= static && -1 * static <= 1 && 1 <= i6 && 0 < o12 && x = 1
main_GE_368(a6, i8, i21, i88, x, i33, env, static) -{3,3}> main_GE_402(a6, i8, i88, i21, 3, i33, env, static) :|: i8 < i21 && 0 <= i8 && 0 <= i88 && 0 < a6 && 3 <= i33 && 0 <= i21 && 1 <= i21 && x = 3
random_InvokeMethod_100(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_103(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_225(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
random_InvokeMethod_225(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_234(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_342(o191, a6, i8, i21, x, i33, env, static) -{3,3}> main_Load_359(a6, i8, i21, i88', 3, i33, env, static) :|: 0 <= o191 && 0 <= i8 && 0 < o191 && 0 < a6 && 0 <= i88' && 3 <= i33 && 0 <= i21 && i88' <= o191 && x = 3
random_ArrayAccess_310(a6, iconst_2, i8, i21, x, env, static) -{0,0}> random_ArrayAccess_314(a6, iconst_2, i8, i21, env, static) :|: 0 <= i21 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2 && x = iconst_2
main_GE_368(a6, i8, i21, i88, iconst_3, i33, env, static) -{0,0}> main_GE_372(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && i21 <= i8 && 0 < a6 && 0 <= i8
random_InvokeMethod_225(o52, a6, i8, x, i12, env, static) -{6,6}> random_ArrayAccess_310(a6, 2, i8, i21', i12, env, static) :|: 0 <= a6 && 0 <= i21' && 0 <= i8 && i21' <= o52 && 0 < a6 && a6 <= static && 0 <= static && 2 <= static && 2 <= i12 && -1 * static <= 2 && 0 < o52 && 0 <= o52 && x = 2
main_Load_2(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i5', env, static'3) :|: static'1 <= static''' + 1 && 0 <= i5' && 0 <= 2 && 0 < o1 && 0 <= static'2 && i5' < o1 && 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_310(a6, x, i8, i21, i33, env, static) -{7,7}> random_InvokeMethod_342(o95', a6, i8, i21, 3, i33, env, static'6) :|: 2 <= i33 && 0 <= i8 && o95' < a6 && 0 < a6 && 3 <= i33 && 0 <= static && 0 <= i21 && 0 <= o95' && 2 <= static && -1 * static <= 2 && static'6 <= static + 3 && x = 2
random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_73(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
random_InvokeMethod_342(NULL, a6, i8, i21, iconst_3, i33, env, static) -{0,0}> random_InvokeMethod_346(NULL, a6, i8, i21, iconst_3, i33, env, static) :|: NULL = 0 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= NULL && 0 < a6 && 0 <= i8
random_ArrayAccess_70(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_100(o7', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 0 <= o7' && 0 <= static && 1 <= i6 && o7' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
main_Load_359(a6, i8, i21, i88, x, i33, env, static) -{2,2}> main_GE_368(a6, i8, i21, i88, 3, i33, env, static) :|: 0 <= i8 && 0 < a6 && 0 <= i88 && 3 <= i33 && 0 <= i21 && x = 3
random_ArrayAccess_143(a6, iconst_1, i8, x, env, static) -{0,0}> random_ArrayAccess_150(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && x = iconst_1

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

Moved arithmethic from constraints to rhss.

main_GE_402(a6, i8, i88, i21, x, i33, env, static) -{3,3}> main_Load_359(a6, i8, i21, i99', 3, i33, env, static) :|: 3 <= i33 && 1 <= i99' && 1 <= i21 && 0 <= i8 && i88 + 1 = i99' && 0 <= i99' && 0 <= i88 && 0 < a6 && i88 <= i8 && 0 <= i21 && x = 3
was transformed to
main_GE_402(a6, i8, i88, i21, x, i33, env, static) -{3,3}> main_Load_359(a6, i8, i21, i88 + 1, 3, i33, env, static) :|: 3 <= i33 && 1 <= i99' && 1 <= i21 && 0 <= i8 && i88 + 1 = i99' && 0 <= i99' && 0 <= i88 && 0 < a6 && i88 <= i8 && 0 <= i21 && x = 3

main_GE_402(a6, i8, i88, i21, x, i33, env, static) -{3,3}> main_Load_359(a6, i100', i21, i88, 3, i33, env, static) :|: i8 + 1 = i100' && 0 < a6 && 0 <= i8 && 1 <= i100' && 1 <= i88 && 0 <= i100' && 1 <= i21 && 0 <= i88 && 3 <= i33 && 0 <= i21 && i8 < i88 && x = 3
was transformed to
main_GE_402(a6, i8, i88, i21, x, i33, env, static) -{3,3}> main_Load_359(a6, i8 + 1, i21, i88, 3, i33, env, static) :|: i8 + 1 = i100' && 0 < a6 && 0 <= i8 && 1 <= i100' && 1 <= i88 && 0 <= i100' && 1 <= i21 && 0 <= i88 && 3 <= i33 && 0 <= i21 && i8 < i88 && x = 3

random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_73(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_73(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0

random_InvokeMethod_100(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_103(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
was transformed to
random_InvokeMethod_100(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_103(0, a6, 1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6

random_InvokeMethod_225(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_234(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
was transformed to
random_InvokeMethod_225(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_234(0, a6, i8, 2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2

main_GE_368(a6, i8, i21, i88, iconst_3, i33, env, static) -{0,0}> main_GE_372(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && i21 <= i8 && 0 < a6 && 0 <= i8
was transformed to
main_GE_368(a6, i8, i21, i88, iconst_3, i33, env, static) -{0,0}> main_GE_372(a6, i8, i21, i88, 3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && i21 <= i8 && 0 < a6 && 0 <= i8

random_InvokeMethod_342(NULL, a6, i8, i21, iconst_3, i33, env, static) -{0,0}> random_InvokeMethod_346(NULL, a6, i8, i21, iconst_3, i33, env, static) :|: NULL = 0 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= NULL && 0 < a6 && 0 <= i8
was transformed to
random_InvokeMethod_342(NULL, a6, i8, i21, iconst_3, i33, env, static) -{0,0}> random_InvokeMethod_346(0, a6, i8, i21, 3, i33, env, static) :|: NULL = 0 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= NULL && 0 < a6 && 0 <= i8

random_ArrayAccess_143(a6, iconst_1, i8, x, env, static) -{0,0}> random_ArrayAccess_150(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && x = iconst_1
was transformed to
random_ArrayAccess_143(a6, iconst_1, i8, x, env, static) -{0,0}> random_ArrayAccess_150(a6, 1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && x = iconst_1

random_ArrayAccess_310(a6, iconst_2, i8, i21, x, env, static) -{0,0}> random_ArrayAccess_314(a6, iconst_2, i8, i21, env, static) :|: 0 <= i21 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2 && x = iconst_2
was transformed to
random_ArrayAccess_310(a6, iconst_2, i8, i21, x, env, static) -{0,0}> random_ArrayAccess_314(a6, 2, i8, i21, env, static) :|: 0 <= i21 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2 && x = iconst_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_GE_402(a6, i8, i88, i21, x, i33, env, static) -{3,3}> main_Load_359(a6, i8, i21, i88 + 1, 3, i33, env, static) :|: 3 <= i33 && 1 <= i99' && 1 <= i21 && 0 <= i8 && i88 + 1 = i99' && 0 <= i99' && 0 <= i88 && 0 < a6 && i88 <= i8 && 0 <= i21 && x = 3
main_GE_402(a6, i8, i88, i21, x, i33, env, static) -{3,3}> main_Load_359(a6, i8 + 1, i21, i88, 3, i33, env, static) :|: i8 + 1 = i100' && 0 < a6 && 0 <= i8 && 1 <= i100' && 1 <= i88 && 0 <= i100' && 1 <= i21 && 0 <= i88 && 3 <= i33 && 0 <= i21 && i8 < i88 && x = 3
random_InvokeMethod_100(o12, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o12 && 0 < a6 && a6 <= static && 0 <= static && 0 <= o12 && 1 <= static && -1 * static <= 1 && 1 <= i6 && 0 < o12 && x = 1
random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_73(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
random_InvokeMethod_100(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_103(0, a6, 1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
main_GE_368(a6, i8, i21, i88, x, i33, env, static) -{3,3}> main_GE_402(a6, i8, i88, i21, 3, i33, env, static) :|: i8 < i21 && 0 <= i8 && 0 <= i88 && 0 < a6 && 3 <= i33 && 0 <= i21 && 1 <= i21 && x = 3
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_225(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
random_InvokeMethod_225(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_234(0, a6, i8, 2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_GE_368(a6, i8, i21, i88, iconst_3, i33, env, static) -{0,0}> main_GE_372(a6, i8, i21, i88, 3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && i21 <= i8 && 0 < a6 && 0 <= i8
random_InvokeMethod_342(o191, a6, i8, i21, x, i33, env, static) -{3,3}> main_Load_359(a6, i8, i21, i88', 3, i33, env, static) :|: 0 <= o191 && 0 <= i8 && 0 < o191 && 0 < a6 && 0 <= i88' && 3 <= i33 && 0 <= i21 && i88' <= o191 && x = 3
random_InvokeMethod_225(o52, a6, i8, x, i12, env, static) -{6,6}> random_ArrayAccess_310(a6, 2, i8, i21', i12, env, static) :|: 0 <= a6 && 0 <= i21' && 0 <= i8 && i21' <= o52 && 0 < a6 && a6 <= static && 0 <= static && 2 <= static && 2 <= i12 && -1 * static <= 2 && 0 < o52 && 0 <= o52 && x = 2
main_Load_2(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i5', env, static'3) :|: static'1 <= static''' + 1 && 0 <= i5' && 0 <= 2 && 0 < o1 && 0 <= static'2 && i5' < o1 && 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_310(a6, x, i8, i21, i33, env, static) -{7,7}> random_InvokeMethod_342(o95', a6, i8, i21, 3, i33, env, static'6) :|: 2 <= i33 && 0 <= i8 && o95' < a6 && 0 < a6 && 3 <= i33 && 0 <= static && 0 <= i21 && 0 <= o95' && 2 <= static && -1 * static <= 2 && static'6 <= static + 3 && x = 2
random_InvokeMethod_342(NULL, a6, i8, i21, iconst_3, i33, env, static) -{0,0}> random_InvokeMethod_346(0, a6, i8, i21, 3, i33, env, static) :|: NULL = 0 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= NULL && 0 < a6 && 0 <= i8
random_ArrayAccess_70(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_100(o7', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 0 <= o7' && 0 <= static && 1 <= i6 && o7' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
random_ArrayAccess_143(a6, iconst_1, i8, x, env, static) -{0,0}> random_ArrayAccess_150(a6, 1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && x = iconst_1
main_Load_359(a6, i8, i21, i88, x, i33, env, static) -{2,2}> main_GE_368(a6, i8, i21, i88, 3, i33, env, static) :|: 0 <= i8 && 0 < a6 && 0 <= i88 && 3 <= i33 && 0 <= i21 && x = 3
random_ArrayAccess_310(a6, iconst_2, i8, i21, x, env, static) -{0,0}> random_ArrayAccess_314(a6, 2, i8, i21, env, static) :|: 0 <= i21 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2 && x = iconst_2

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

Simplified expressions.

random_InvokeMethod_100(o12, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o12 && 0 < a6 && a6 <= static && 0 <= static && 0 <= o12 && 1 <= static && -1 * static <= 1 && 1 <= i6 && 0 < o12 && x = 1
was transformed to
random_InvokeMethod_100(o12, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= i8' && i8' <= o12 && 0 < a6 && a6 <= static && 0 <= static && 1 <= static && -1 * static <= 1 && 1 <= i6 && 0 < o12 && x = 1

random_InvokeMethod_342(o191, a6, i8, i21, x, i33, env, static) -{3,3}> main_Load_359(a6, i8, i21, i88', 3, i33, env, static) :|: 0 <= o191 && 0 <= i8 && 0 < o191 && 0 < a6 && 0 <= i88' && 3 <= i33 && 0 <= i21 && i88' <= o191 && x = 3
was transformed to
random_InvokeMethod_342(o191, a6, i8, i21, x, i33, env, static) -{3,3}> main_Load_359(a6, i8, i21, i88', 3, i33, env, static) :|: 0 <= i8 && 0 < o191 && 0 < a6 && 0 <= i88' && 3 <= i33 && 0 <= i21 && i88' <= o191 && x = 3

random_InvokeMethod_225(o52, a6, i8, x, i12, env, static) -{6,6}> random_ArrayAccess_310(a6, 2, i8, i21', i12, env, static) :|: 0 <= a6 && 0 <= i21' && 0 <= i8 && i21' <= o52 && 0 < a6 && a6 <= static && 0 <= static && 2 <= static && 2 <= i12 && -1 * static <= 2 && 0 < o52 && 0 <= o52 && x = 2
was transformed to
random_InvokeMethod_225(o52, a6, i8, x, i12, env, static) -{6,6}> random_ArrayAccess_310(a6, 2, i8, i21', i12, env, static) :|: 0 <= i21' && 0 <= i8 && i21' <= o52 && 0 < a6 && a6 <= static && 0 <= static && 2 <= static && 2 <= i12 && -1 * static <= 2 && 0 < o52 && x = 2

main_Load_2(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i5', env, static'3) :|: static'1 <= static''' + 1 && 0 <= i5' && 0 <= 2 && 0 < o1 && 0 <= static'2 && i5' < o1 && 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, i5', env, static'3) :|: static'1 <= static''' + 1 && 0 <= i5' && 0 < o1 && 0 <= static'2 && i5' < o1 && 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

(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:
random_InvokeMethod_100(o12, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= i8' && i8' <= o12 && 0 < a6 && a6 <= static && 0 <= static && 1 <= static && -1 * static <= 1 && 1 <= i6 && 0 < o12 && x = 1
random_ArrayAccess_310(a6, iconst_2, i8, i21, x, env, static) -{0,0}> random_ArrayAccess_314(a6, 2, i8, i21, env, static) :|: 0 <= i21 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2 && x = iconst_2
random_ArrayAccess_143(a6, iconst_1, i8, x, env, static) -{0,0}> random_ArrayAccess_150(a6, 1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && x = iconst_1
random_InvokeMethod_342(o191, a6, i8, i21, x, i33, env, static) -{3,3}> main_Load_359(a6, i8, i21, i88', 3, i33, env, static) :|: 0 <= i8 && 0 < o191 && 0 < a6 && 0 <= i88' && 3 <= i33 && 0 <= i21 && i88' <= o191 && x = 3
random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_73(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
main_GE_368(a6, i8, i21, i88, x, i33, env, static) -{3,3}> main_GE_402(a6, i8, i88, i21, 3, i33, env, static) :|: i8 < i21 && 0 <= i8 && 0 <= i88 && 0 < a6 && 3 <= i33 && 0 <= i21 && 1 <= i21 && x = 3
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_225(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
main_GE_402(a6, i8, i88, i21, x, i33, env, static) -{3,3}> main_Load_359(a6, i8, i21, i88 + 1, 3, i33, env, static) :|: 3 <= i33 && 1 <= i99' && 1 <= i21 && 0 <= i8 && i88 + 1 = i99' && 0 <= i99' && 0 <= i88 && 0 < a6 && i88 <= i8 && 0 <= i21 && x = 3
main_GE_368(a6, i8, i21, i88, iconst_3, i33, env, static) -{0,0}> main_GE_372(a6, i8, i21, i88, 3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && i21 <= i8 && 0 < a6 && 0 <= i8
main_Load_2(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i5', env, static'3) :|: static'1 <= static''' + 1 && 0 <= i5' && 0 < o1 && 0 <= static'2 && i5' < o1 && 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_225(o52, a6, i8, x, i12, env, static) -{6,6}> random_ArrayAccess_310(a6, 2, i8, i21', i12, env, static) :|: 0 <= i21' && 0 <= i8 && i21' <= o52 && 0 < a6 && a6 <= static && 0 <= static && 2 <= static && 2 <= i12 && -1 * static <= 2 && 0 < o52 && x = 2
main_GE_402(a6, i8, i88, i21, x, i33, env, static) -{3,3}> main_Load_359(a6, i8 + 1, i21, i88, 3, i33, env, static) :|: i8 + 1 = i100' && 0 < a6 && 0 <= i8 && 1 <= i100' && 1 <= i88 && 0 <= i100' && 1 <= i21 && 0 <= i88 && 3 <= i33 && 0 <= i21 && i8 < i88 && x = 3
random_ArrayAccess_310(a6, x, i8, i21, i33, env, static) -{7,7}> random_InvokeMethod_342(o95', a6, i8, i21, 3, i33, env, static'6) :|: 2 <= i33 && 0 <= i8 && o95' < a6 && 0 < a6 && 3 <= i33 && 0 <= static && 0 <= i21 && 0 <= o95' && 2 <= static && -1 * static <= 2 && static'6 <= static + 3 && x = 2
random_InvokeMethod_225(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_234(0, a6, i8, 2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ArrayAccess_70(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_100(o7', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 0 <= o7' && 0 <= static && 1 <= i6 && o7' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
random_InvokeMethod_100(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_103(0, a6, 1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
main_Load_359(a6, i8, i21, i88, x, i33, env, static) -{2,2}> main_GE_368(a6, i8, i21, i88, 3, i33, env, static) :|: 0 <= i8 && 0 < a6 && 0 <= i88 && 3 <= i33 && 0 <= i21 && x = 3
random_InvokeMethod_342(NULL, a6, i8, i21, iconst_3, i33, env, static) -{0,0}> random_InvokeMethod_346(0, a6, i8, i21, 3, i33, env, static) :|: NULL = 0 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= NULL && 0 < a6 && 0 <= i8