The time complexity of the given JBC problem could be proven to be BOUNDS(CONSTANT, 138 + 60 * |args|).

(0) Obligation:

Need to prove time_complexity of the following program:

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

public class PastaB12 {
    public static void main(String[] args) {
        Random.args = args;
        int x = Random.random();
        int y = Random.random();

        while (x > 0 || y > 0) {
            if (x > 0) {
                x--;
            } else if (y > 0) {
                y--;
            } else {
                continue;
            }
        }
    }
}


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:
PastaB12.main([Ljava/lang/String;)V: Graph of 179 nodes with 1 SCC.

(3) TerminationGraphToComplexityProof (BOTH CONCRETE BOUNDS(ID, ADD(92)) transformation)

Extracted set of 81 edges for the analysis of TIME complexity. Dropped leaves.

(4) Obligation:

Set of 81 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 81 jbc graph edges to a weighted ITS with 81 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 81 rules
Start term: main_Load_2(args, env, static)
Considered paths: all paths from start
Rules:
main_Load_2(o2, env, static) -{0,0}> main_Load_3(o2, env, static) :|: 0 < o2
main_Load_3(o2, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_5(o2, env, static) :|: 0 < o2
langle_clinit_rangle_ConstantStackPush_5(o2, env, static) -{1,1}> langle_clinit_rangle_ArrayCreate_10(iconst_0, o2, env, static) :|: 0 < o2 && iconst_0 = 0
langle_clinit_rangle_ArrayCreate_10(iconst_0, o2, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_12(a2, o2, iconst_0, env, static) :|: a2 = 2 && 0 < o2 && iconst_0 = 0 && 0 < a2
langle_clinit_rangle_FieldAccess_12(a2, o2, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_14(o2, env, static') :|: 0 <= a2 && 0 < o2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2
langle_clinit_rangle_New_14(o2, env, static) -{0,0}> langle_clinit_rangle_New_15(o2, env, static) :|: 0 < o2
langle_clinit_rangle_New_15(o2, env, static) -{0,0}> langle_clinit_rangle_New_16(o2, env, static) :|: 0 < o2 && 0 <= static
langle_clinit_rangle_New_16(o2, env, static) -{1,1}> langle_clinit_rangle_Duplicate_18(o4, o2, env, static) :|: o4 = 1 && 0 < o2 && 0 < o4
langle_clinit_rangle_Duplicate_18(o4, o2, env, static) -{1,1}> langle_clinit_rangle_ConstantStackPush_20(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_clinit_rangle_ConstantStackPush_20(o4, o2, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_22(o4, NULL, o2, env, static) :|: NULL = 0 && 0 < o2 && 0 < o4
langle_clinit_rangle_InvokeMethod_22(o4, NULL, o2, env, static) -{1,1}> langle_init_rangle_Load_24(o4, o2, env, static) :|: NULL = 0 && 0 < o2 && 0 < o4
langle_init_rangle_Load_24(o4, o2, env, static) -{1,1}> langle_init_rangle_InvokeMethod_26(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_InvokeMethod_26(o4, o2, env, static) -{1,1}> langle_init_rangle_Load_28(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Load_28(o4, o2, env, static) -{1,1}> langle_init_rangle_InvokeMethod_30(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_InvokeMethod_30(o4, o2, env, static) -{1,1}> langle_init_rangle_Return_32(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Return_32(o4, o2, env, static) -{1,1}> langle_init_rangle_Return_34(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Return_34(o4, o2, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_36(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_clinit_rangle_FieldAccess_36(o4, o2, env, static) -{1,1}> langle_clinit_rangle_Return_38(o2, env, static') :|: 0 < o2 && 0 <= o4 && 0 < o4 && 0 <= static && static' <= static + o4
langle_clinit_rangle_Return_38(o2, env, static) -{1,1}> main_Load_41(o2, env, static) :|: 0 < o2
main_Load_41(o2, env, static) -{0,0}> main_Load_42(o2, env, static) :|: 0 < o2
main_Load_42(o2, env, static) -{0,0}> main_Load_43(o2, env, static) :|: 0 < o2 && 0 <= static
main_Load_43(o2, env, static) -{0,0}> main_Load_45(o2, env, static) :|: 0 < o2
main_Load_45(o2, env, static) -{0,0}> main_Load_47(o2, env, static) :|: 0 < o2
main_Load_47(o2, env, static) -{1,1}> main_FieldAccess_51(o2, env, static) :|: 0 < o2
main_FieldAccess_51(o2, env, static) -{0,0}> main_FieldAccess_53(o2, env, static) :|: 0 < o2
main_FieldAccess_53(o2, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_54(o2, NULL, iconst_0, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
langle_clinit_rangle_ConstantStackPush_54(o2, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_57(iconst_0, o2, NULL, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
langle_clinit_rangle_FieldAccess_57(iconst_0, o2, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_59(o2, NULL, iconst_0, env, static') :|: NULL = 0 && 0 < o2 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0
langle_clinit_rangle_Return_59(o2, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_61(o2, NULL, iconst_0, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
main_FieldAccess_61(o2, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_63(o2, iconst_0, env, static') :|: NULL = 0 && 0 < o2 && 0 <= o2 && iconst_0 = 0 && 0 <= static && static' <= static + o2
main_InvokeMethod_63(o2, iconst_0, env, static) -{1,1}> random_FieldAccess_65(o2, iconst_0, env, static) :|: 0 < o2 && iconst_0 = 0
random_FieldAccess_65(o2, iconst_0, env, static) -{1,1}> random_FieldAccess_67(o2, iconst_0, env, static) :|: 0 < o2 && o2 <= static && 0 <= o2 && iconst_0 = 0 && 0 <= static
random_FieldAccess_67(o2, iconst_0, env, static) -{1,1}> random_ArrayAccess_69(o2, iconst_0, env, static) :|: 0 < o2 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static
random_ArrayAccess_69(a6, iconst_0, env, static) -{0,0}> random_ArrayAccess_72(a6, iconst_0, i5, env, static) :|: i5 < a6 && iconst_0 = 0 && 0 < a6 && 0 <= i5
random_ArrayAccess_72(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_85(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_85(iconst_0, o7, a6, i6, env, static) -{1,1}> random_IntArithmetic_89(iconst_0, iconst_1, o7, a6, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && iconst_0 = 0 && 0 <= o7 && 0 < a6
random_IntArithmetic_89(iconst_0, iconst_1, o7, a6, i6, env, static) -{1,1}> random_FieldAccess_92(iconst_1, o7, a6, iconst_0, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && iconst_0 = 0 && 0 <= o7 && 0 < a6
random_FieldAccess_92(iconst_1, o7, a6, iconst_0, i6, env, static) -{1,1}> random_Load_96(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_96(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_109(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_Store_109(a6, i8, iconst_1, i6, env, static) -{1,1}> main_InvokeMethod_113(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_InvokeMethod_113(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_118(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_FieldAccess_118(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_132(a6, i8, iconst_1, i6, env, static) :|: 0 <= a6 && 1 <= i6 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8
random_FieldAccess_132(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_147(a6, iconst_1, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i12
random_ArrayAccess_147(a6, iconst_1, i8, i12, env, static) -{1,1}> random_Store_151(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && o25 < a6 && 0 < a6 && 0 <= i8 && 0 <= o25
random_Store_151(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_FieldAccess_155(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_FieldAccess_155(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_ConstantStackPush_168(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_168(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_IntArithmetic_180(iconst_1, o25, a6, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_IntArithmetic_180(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_FieldAccess_188(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_188(iconst_2, o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_Load_198(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_198(o25, a6, i8, iconst_2, i12, env, static) -{1,1}> random_InvokeMethod_213(o25, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2
random_InvokeMethod_213(o50, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_220(o50, a6, i8, iconst_2, i12, env, static) :|: 0 < o50 && 2 <= i12 && 0 <= o50 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_220(o50, a6, i8, iconst_2, i12, env, static) -{1,1}> random_Return_242(i23, a6, i8, iconst_2, i12, env, static) :|: i23 <= o50 && 0 < o50 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i23
random_Return_242(i23, a6, i8, iconst_2, i12, env, static) -{1,1}> main_Store_253(a6, i23, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i23
main_Store_253(a6, i23, i8, iconst_2, i12, env, static) -{1,1}> main_Load_264(a6, i8, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i23
main_Load_264(a6, i8, i23, iconst_2, i12, env, static) -{1,1}> main_GT_301(a6, i8, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i23
main_GT_301(a6, iconst_0, i23, iconst_2, i12, env, static) -{0,0}> main_GT_317(a6, iconst_0, i23, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2 && 0 <= i23
main_GT_301(a6, i30, i23, iconst_2, i12, env, static) -{0,0}> main_GT_318(a6, i30, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i30 && 1 <= i30 && 0 < a6 && iconst_2 = 2 && 0 <= i23
main_GT_317(a6, iconst_0, i23, iconst_2, i12, env, static) -{1,1}> main_Load_326(a6, iconst_0, i23, iconst_2, i12, env, static) :|: iconst_0 <= 0 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2 && 0 <= i23
main_GT_318(a6, i30, i23, iconst_2, i12, env, static) -{1,1}> main_Load_328(a6, i30, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < i30 && 1 <= i30 && 0 < a6 && iconst_2 = 2 && 0 <= i23
main_Load_326(a6, iconst_0, i23, iconst_2, i12, env, static) -{1,1}> main_LE_340(a6, i23, iconst_0, iconst_2, i12, env, static) :|: 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2 && 0 <= i23
main_Load_328(a6, i30, i23, iconst_2, i12, env, static) -{1,1}> main_LE_341(a6, i30, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i30 && 0 < a6 && iconst_2 = 2 && 0 <= i23
main_LE_340(a6, i34, iconst_0, iconst_2, i12, env, static) -{0,0}> main_LE_361(a6, i34, iconst_0, iconst_2, i12, env, static) :|: 2 <= i12 && iconst_0 = 0 && 1 <= i34 && 0 < a6 && 0 <= i34 && iconst_2 = 2
main_LE_341(a6, i30, i23, iconst_2, i12, env, static) -{1,1}> main_Inc_363(a6, i30, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < i30 && 1 <= i30 && 0 < a6 && iconst_2 = 2 && 0 <= i23
main_LE_361(a6, i34, iconst_0, iconst_2, i12, env, static) -{1,1}> main_Load_381(a6, iconst_0, i34, iconst_2, i12, env, static) :|: 2 <= i12 && iconst_0 = 0 && 0 < i34 && 1 <= i34 && 0 < a6 && iconst_2 = 2
main_Inc_363(a6, i30, i23, iconst_2, i12, env, static) -{1,1}> main_JMP_384(a6, i38, i23, iconst_2, i12, env, static) :|: i30 + -1 = i38 && 2 <= i12 && 0 <= i38 && 1 <= i30 && 0 < a6 && iconst_2 = 2 && 0 <= i23
main_Load_381(a6, iconst_0, i34, iconst_2, i12, env, static) -{1,1}> main_LE_402(a6, iconst_0, i34, iconst_2, i12, env, static) :|: 2 <= i12 && iconst_0 = 0 && 1 <= i34 && 0 < a6 && iconst_2 = 2
main_JMP_384(a6, i38, i23, iconst_2, i12, env, static) -{1,1}> main_Load_420(a6, i38, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i38 && 0 < a6 && iconst_2 = 2 && 0 <= i23
main_LE_402(a6, iconst_0, i34, iconst_2, i12, env, static) -{1,1}> main_Load_443(a6, iconst_0, i34, iconst_2, i12, env, static) :|: iconst_0 <= 0 && 2 <= i12 && iconst_0 = 0 && 1 <= i34 && 0 < a6 && iconst_2 = 2
main_Load_420(a6, i38, i23, iconst_2, i12, env, static) -{0,0}> main_Load_264(a6, i38, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i38 && 0 < a6 && iconst_2 = 2 && 0 <= i23
main_Load_443(a6, iconst_0, i34, iconst_2, i12, env, static) -{1,1}> main_LE_452(a6, i34, iconst_0, iconst_2, i12, env, static) :|: 2 <= i12 && iconst_0 = 0 && 1 <= i34 && 0 < a6 && iconst_2 = 2
main_LE_452(a6, i34, iconst_0, iconst_2, i12, env, static) -{1,1}> main_Inc_461(a6, iconst_0, i34, iconst_2, i12, env, static) :|: 2 <= i12 && iconst_0 = 0 && 0 < i34 && 1 <= i34 && 0 < a6 && iconst_2 = 2
main_Inc_461(a6, iconst_0, i34, iconst_2, i12, env, static) -{1,1}> main_JMP_471(a6, iconst_0, i51, iconst_2, i12, env, static) :|: i34 + -1 = i51 && 0 <= i51 && 2 <= i12 && iconst_0 = 0 && 1 <= i34 && 0 < a6 && iconst_2 = 2
main_JMP_471(a6, iconst_0, i51, iconst_2, i12, env, static) -{1,1}> main_Load_487(a6, iconst_0, i51, iconst_2, i12, env, static) :|: 0 <= i51 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2
main_Load_487(a6, iconst_0, i51, iconst_2, i12, env, static) -{0,0}> main_Load_264(a6, iconst_0, i51, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 0 <= i51 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2

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

obtained
main_Load_2(o2, env, static) -{46,46}> main_Load_264(o2, i8', i23', 2, i5', env, static'5) :|: static'4 <= static'3 + 1 && 0 <= i23' && 0 <= 1 && 0 < 2 && 0 <= i8' && o25' < o2 && 2 <= i5' && 0 < o2 && 0 <= i5' && 1 <= static'4 && i23' <= o25' && 0 < o25' && 0 <= o7' && -1 * static'4 <= 1 && 0 <= static'3 && 0 < 1 && 0 <= static && 0 <= static''' && static''' <= static + 2 && 0 <= static'1 && static'1 <= static''' + 1 && o2 <= static'3 && 0 <= static'2 && -1 * static'3 <= 0 && i8' <= o7' && 0 <= o2 && o7' < o2 && 0 < o7' && 0 <= static'4 && o2 <= static'4 && i5' < o2 && 0 <= 2 && 0 <= o25' && static'2 <= static'1 + 0 && static'3 <= static'2 + o2 && static'5 <= static'4 + 2 && 1 <= i5'
by chaining
main_Load_2(o2, env, static) -{0,0}> main_Load_3(o2, env, static) :|: 0 < o2
main_Load_3(o2, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_5(o2, env, static) :|: 0 < o2
langle_clinit_rangle_ConstantStackPush_5(o2, env, static) -{1,1}> langle_clinit_rangle_ArrayCreate_10(iconst_0, o2, env, static) :|: 0 < o2 && iconst_0 = 0
langle_clinit_rangle_ArrayCreate_10(iconst_0, o2, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_12(a2, o2, iconst_0, env, static) :|: a2 = 2 && 0 < o2 && iconst_0 = 0 && 0 < a2
langle_clinit_rangle_FieldAccess_12(a2, o2, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_14(o2, env, static') :|: 0 <= a2 && 0 < o2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2
langle_clinit_rangle_New_14(o2, env, static) -{0,0}> langle_clinit_rangle_New_15(o2, env, static) :|: 0 < o2
langle_clinit_rangle_New_15(o2, env, static) -{0,0}> langle_clinit_rangle_New_16(o2, env, static) :|: 0 < o2 && 0 <= static
langle_clinit_rangle_New_16(o2, env, static) -{1,1}> langle_clinit_rangle_Duplicate_18(o4, o2, env, static) :|: o4 = 1 && 0 < o2 && 0 < o4
langle_clinit_rangle_Duplicate_18(o4, o2, env, static) -{1,1}> langle_clinit_rangle_ConstantStackPush_20(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_clinit_rangle_ConstantStackPush_20(o4, o2, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_22(o4, NULL, o2, env, static) :|: NULL = 0 && 0 < o2 && 0 < o4
langle_clinit_rangle_InvokeMethod_22(o4, NULL, o2, env, static) -{1,1}> langle_init_rangle_Load_24(o4, o2, env, static) :|: NULL = 0 && 0 < o2 && 0 < o4
langle_init_rangle_Load_24(o4, o2, env, static) -{1,1}> langle_init_rangle_InvokeMethod_26(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_InvokeMethod_26(o4, o2, env, static) -{1,1}> langle_init_rangle_Load_28(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Load_28(o4, o2, env, static) -{1,1}> langle_init_rangle_InvokeMethod_30(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_InvokeMethod_30(o4, o2, env, static) -{1,1}> langle_init_rangle_Return_32(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Return_32(o4, o2, env, static) -{1,1}> langle_init_rangle_Return_34(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Return_34(o4, o2, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_36(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_clinit_rangle_FieldAccess_36(o4, o2, env, static) -{1,1}> langle_clinit_rangle_Return_38(o2, env, static') :|: 0 < o2 && 0 <= o4 && 0 < o4 && 0 <= static && static' <= static + o4
langle_clinit_rangle_Return_38(o2, env, static) -{1,1}> main_Load_41(o2, env, static) :|: 0 < o2
main_Load_41(o2, env, static) -{0,0}> main_Load_42(o2, env, static) :|: 0 < o2
main_Load_42(o2, env, static) -{0,0}> main_Load_43(o2, env, static) :|: 0 < o2 && 0 <= static
main_Load_43(o2, env, static) -{0,0}> main_Load_45(o2, env, static) :|: 0 < o2
main_Load_45(o2, env, static) -{0,0}> main_Load_47(o2, env, static) :|: 0 < o2
main_Load_47(o2, env, static) -{1,1}> main_FieldAccess_51(o2, env, static) :|: 0 < o2
main_FieldAccess_51(o2, env, static) -{0,0}> main_FieldAccess_53(o2, env, static) :|: 0 < o2
main_FieldAccess_53(o2, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_54(o2, NULL, iconst_0, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
langle_clinit_rangle_ConstantStackPush_54(o2, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_57(iconst_0, o2, NULL, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
langle_clinit_rangle_FieldAccess_57(iconst_0, o2, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_59(o2, NULL, iconst_0, env, static') :|: NULL = 0 && 0 < o2 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0
langle_clinit_rangle_Return_59(o2, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_61(o2, NULL, iconst_0, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
main_FieldAccess_61(o2, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_63(o2, iconst_0, env, static') :|: NULL = 0 && 0 < o2 && 0 <= o2 && iconst_0 = 0 && 0 <= static && static' <= static + o2
main_InvokeMethod_63(o2, iconst_0, env, static) -{1,1}> random_FieldAccess_65(o2, iconst_0, env, static) :|: 0 < o2 && iconst_0 = 0
random_FieldAccess_65(o2, iconst_0, env, static) -{1,1}> random_FieldAccess_67(o2, iconst_0, env, static) :|: 0 < o2 && o2 <= static && 0 <= o2 && iconst_0 = 0 && 0 <= static
random_FieldAccess_67(o2, iconst_0, env, static) -{1,1}> random_ArrayAccess_69(o2, iconst_0, env, static) :|: 0 < o2 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static
random_ArrayAccess_69(a6, iconst_0, env, static) -{0,0}> random_ArrayAccess_72(a6, iconst_0, i5, env, static) :|: i5 < a6 && iconst_0 = 0 && 0 < a6 && 0 <= i5
random_ArrayAccess_72(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_85(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_85(iconst_0, o7, a6, i6, env, static) -{1,1}> random_IntArithmetic_89(iconst_0, iconst_1, o7, a6, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && iconst_0 = 0 && 0 <= o7 && 0 < a6
random_IntArithmetic_89(iconst_0, iconst_1, o7, a6, i6, env, static) -{1,1}> random_FieldAccess_92(iconst_1, o7, a6, iconst_0, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && iconst_0 = 0 && 0 <= o7 && 0 < a6
random_FieldAccess_92(iconst_1, o7, a6, iconst_0, i6, env, static) -{1,1}> random_Load_96(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_96(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_109(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_Store_109(a6, i8, iconst_1, i6, env, static) -{1,1}> main_InvokeMethod_113(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_InvokeMethod_113(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_118(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_FieldAccess_118(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_132(a6, i8, iconst_1, i6, env, static) :|: 0 <= a6 && 1 <= i6 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8
random_FieldAccess_132(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_147(a6, iconst_1, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i12
random_ArrayAccess_147(a6, iconst_1, i8, i12, env, static) -{1,1}> random_Store_151(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && o25 < a6 && 0 < a6 && 0 <= i8 && 0 <= o25
random_Store_151(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_FieldAccess_155(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_FieldAccess_155(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_ConstantStackPush_168(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_168(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_IntArithmetic_180(iconst_1, o25, a6, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_IntArithmetic_180(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_FieldAccess_188(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_188(iconst_2, o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_Load_198(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_198(o25, a6, i8, iconst_2, i12, env, static) -{1,1}> random_InvokeMethod_213(o25, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2
random_InvokeMethod_213(o50, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_220(o50, a6, i8, iconst_2, i12, env, static) :|: 0 < o50 && 2 <= i12 && 0 <= o50 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_220(o50, a6, i8, iconst_2, i12, env, static) -{1,1}> random_Return_242(i23, a6, i8, iconst_2, i12, env, static) :|: i23 <= o50 && 0 < o50 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i23
random_Return_242(i23, a6, i8, iconst_2, i12, env, static) -{1,1}> main_Store_253(a6, i23, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i23
main_Store_253(a6, i23, i8, iconst_2, i12, env, static) -{1,1}> main_Load_264(a6, i8, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i23

obtained
main_GT_301(a6, i30, i23, 2, i12, env, static) -{5,5}> main_Load_264(a6, i38', i23, 2, i12, env, static) :|: 0 < i30 && 0 <= i23 && 0 <= i30 && 2 <= i12 && 0 < a6 && 0 <= i38' && 1 <= i30 && i30 + -1 = i38'
by chaining
main_GT_301(a6, i30, i23, iconst_2, i12, env, static) -{0,0}> main_GT_318(a6, i30, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i30 && 1 <= i30 && 0 < a6 && iconst_2 = 2 && 0 <= i23
main_GT_318(a6, i30, i23, iconst_2, i12, env, static) -{1,1}> main_Load_328(a6, i30, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < i30 && 1 <= i30 && 0 < a6 && iconst_2 = 2 && 0 <= i23
main_Load_328(a6, i30, i23, iconst_2, i12, env, static) -{1,1}> main_LE_341(a6, i30, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i30 && 0 < a6 && iconst_2 = 2 && 0 <= i23
main_LE_341(a6, i30, i23, iconst_2, i12, env, static) -{1,1}> main_Inc_363(a6, i30, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < i30 && 1 <= i30 && 0 < a6 && iconst_2 = 2 && 0 <= i23
main_Inc_363(a6, i30, i23, iconst_2, i12, env, static) -{1,1}> main_JMP_384(a6, i38, i23, iconst_2, i12, env, static) :|: i30 + -1 = i38 && 2 <= i12 && 0 <= i38 && 1 <= i30 && 0 < a6 && iconst_2 = 2 && 0 <= i23
main_JMP_384(a6, i38, i23, iconst_2, i12, env, static) -{1,1}> main_Load_420(a6, i38, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i38 && 0 < a6 && iconst_2 = 2 && 0 <= i23
main_Load_420(a6, i38, i23, iconst_2, i12, env, static) -{0,0}> main_Load_264(a6, i38, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i38 && 0 < a6 && iconst_2 = 2 && 0 <= i23

obtained
main_GT_301(a6, 0, i23, 2, i12, env, static) -{9,9}> main_Load_264(a6, 0, i51', 2, i12, env, static) :|: 0 < i23 && 0 <= i23 && 0 < a6 && 2 <= i12 && 1 <= i23 && 0 <= 0 && 0 <= i51' && i23 + -1 = i51'
by chaining
main_GT_301(a6, iconst_0, i23, iconst_2, i12, env, static) -{0,0}> main_GT_317(a6, iconst_0, i23, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2 && 0 <= i23
main_GT_317(a6, iconst_0, i23, iconst_2, i12, env, static) -{1,1}> main_Load_326(a6, iconst_0, i23, iconst_2, i12, env, static) :|: iconst_0 <= 0 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2 && 0 <= i23
main_Load_326(a6, iconst_0, i23, iconst_2, i12, env, static) -{1,1}> main_LE_340(a6, i23, iconst_0, iconst_2, i12, env, static) :|: 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2 && 0 <= i23
main_LE_340(a6, i34, iconst_0, iconst_2, i12, env, static) -{0,0}> main_LE_361(a6, i34, iconst_0, iconst_2, i12, env, static) :|: 2 <= i12 && iconst_0 = 0 && 1 <= i34 && 0 < a6 && 0 <= i34 && iconst_2 = 2
main_LE_361(a6, i34, iconst_0, iconst_2, i12, env, static) -{1,1}> main_Load_381(a6, iconst_0, i34, iconst_2, i12, env, static) :|: 2 <= i12 && iconst_0 = 0 && 0 < i34 && 1 <= i34 && 0 < a6 && iconst_2 = 2
main_Load_381(a6, iconst_0, i34, iconst_2, i12, env, static) -{1,1}> main_LE_402(a6, iconst_0, i34, iconst_2, i12, env, static) :|: 2 <= i12 && iconst_0 = 0 && 1 <= i34 && 0 < a6 && iconst_2 = 2
main_LE_402(a6, iconst_0, i34, iconst_2, i12, env, static) -{1,1}> main_Load_443(a6, iconst_0, i34, iconst_2, i12, env, static) :|: iconst_0 <= 0 && 2 <= i12 && iconst_0 = 0 && 1 <= i34 && 0 < a6 && iconst_2 = 2
main_Load_443(a6, iconst_0, i34, iconst_2, i12, env, static) -{1,1}> main_LE_452(a6, i34, iconst_0, iconst_2, i12, env, static) :|: 2 <= i12 && iconst_0 = 0 && 1 <= i34 && 0 < a6 && iconst_2 = 2
main_LE_452(a6, i34, iconst_0, iconst_2, i12, env, static) -{1,1}> main_Inc_461(a6, iconst_0, i34, iconst_2, i12, env, static) :|: 2 <= i12 && iconst_0 = 0 && 0 < i34 && 1 <= i34 && 0 < a6 && iconst_2 = 2
main_Inc_461(a6, iconst_0, i34, iconst_2, i12, env, static) -{1,1}> main_JMP_471(a6, iconst_0, i51, iconst_2, i12, env, static) :|: i34 + -1 = i51 && 0 <= i51 && 2 <= i12 && iconst_0 = 0 && 1 <= i34 && 0 < a6 && iconst_2 = 2
main_JMP_471(a6, iconst_0, i51, iconst_2, i12, env, static) -{1,1}> main_Load_487(a6, iconst_0, i51, iconst_2, i12, env, static) :|: 0 <= i51 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2
main_Load_487(a6, iconst_0, i51, iconst_2, i12, env, static) -{0,0}> main_Load_264(a6, iconst_0, i51, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 0 <= i51 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2

(8) Obligation:

IntTrs with 4 rules
Start term: main_Load_2(args, env, static)
Considered paths: all paths from start
Rules:
main_Load_2(o2, env, static) -{46,46}> main_Load_264(o2, i8', i23', 2, i5', env, static'5) :|: static'4 <= static'3 + 1 && 0 <= i23' && 0 <= 1 && 0 < 2 && 0 <= i8' && o25' < o2 && 2 <= i5' && 0 < o2 && 0 <= i5' && 1 <= static'4 && i23' <= o25' && 0 < o25' && 0 <= o7' && -1 * static'4 <= 1 && 0 <= static'3 && 0 < 1 && 0 <= static && 0 <= static''' && static''' <= static + 2 && 0 <= static'1 && static'1 <= static''' + 1 && o2 <= static'3 && 0 <= static'2 && -1 * static'3 <= 0 && i8' <= o7' && 0 <= o2 && o7' < o2 && 0 < o7' && 0 <= static'4 && o2 <= static'4 && i5' < o2 && 0 <= 2 && 0 <= o25' && static'2 <= static'1 + 0 && static'3 <= static'2 + o2 && static'5 <= static'4 + 2 && 1 <= i5'
main_Load_264(a6, i8, i23, iconst_2, i12, env, static) -{1,1}> main_GT_301(a6, i8, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i23
main_GT_301(a6, i30, i23, 2, i12, env, static) -{5,5}> main_Load_264(a6, i38', i23, 2, i12, env, static) :|: 0 < i30 && 0 <= i23 && 0 <= i30 && 2 <= i12 && 0 < a6 && 0 <= i38' && 1 <= i30 && i30 + -1 = i38'
main_GT_301(a6, 0, i23, 2, i12, env, static) -{9,9}> main_Load_264(a6, 0, i51', 2, i12, env, static) :|: 0 < i23 && 0 <= i23 && 0 < a6 && 2 <= i12 && 1 <= i23 && 0 <= 0 && 0 <= i51' && i23 + -1 = i51'

(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_264(x1, x2, x3, x4, x5, x6, x7) → main_Load_264(x1, x2, x3, x4, x5)
main_GT_301(x1, x2, x3, x4, x5, x6, x7) → main_GT_301(x1, x2, x3, x4, x5)

(10) Obligation:

IntTrs with 4 rules
Start term: main_Load_2(args, static)
Considered paths: all paths from start
Rules:
main_Load_2(o2, static) -{46,46}> main_Load_264(o2, i8', i23', 2, i5') :|: static'4 <= static'3 + 1 && 0 <= i23' && 0 <= 1 && 0 < 2 && 0 <= i8' && o25' < o2 && 2 <= i5' && 0 < o2 && 0 <= i5' && 1 <= static'4 && i23' <= o25' && 0 < o25' && 0 <= o7' && -1 * static'4 <= 1 && 0 <= static'3 && 0 < 1 && 0 <= static && 0 <= static''' && static''' <= static + 2 && 0 <= static'1 && static'1 <= static''' + 1 && o2 <= static'3 && 0 <= static'2 && -1 * static'3 <= 0 && i8' <= o7' && 0 <= o2 && o7' < o2 && 0 < o7' && 0 <= static'4 && o2 <= static'4 && i5' < o2 && 0 <= 2 && 0 <= o25' && static'2 <= static'1 + 0 && static'3 <= static'2 + o2 && static'5 <= static'4 + 2 && 1 <= i5'
main_Load_264(a6, i8, i23, iconst_2, i12) -{1,1}> main_GT_301(a6, i8, i23, iconst_2, i12) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i23
main_GT_301(a6, i30, i23, 2, i12) -{5,5}> main_Load_264(a6, i38', i23, 2, i12) :|: 0 < i30 && 0 <= i23 && 0 <= i30 && 2 <= i12 && 0 < a6 && 0 <= i38' && 1 <= i30 && i30 + -1 = i38'
main_GT_301(a6, 0, i23, 2, i12) -{9,9}> main_Load_264(a6, 0, i51', 2, i12) :|: 0 < i23 && 0 <= i23 && 0 < a6 && 2 <= i12 && 1 <= i23 && 0 <= 0 && 0 <= i51' && i23 + -1 = i51'

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

Moved arithmethic from lhss to constraints.

main_GT_301(a6, i30, i23, 2, i12) -{5,5}> main_Load_264(a6, i38', i23, 2, i12) :|: 0 < i30 && 0 <= i23 && 0 <= i30 && 2 <= i12 && 0 < a6 && 0 <= i38' && 1 <= i30 && i30 + -1 = i38'
was transformed to
main_GT_301(a6, i30, i23, x, i12) -{5,5}> main_Load_264(a6, i38', i23, 2, i12) :|: 0 < i30 && 0 <= i23 && 0 <= i30 && 2 <= i12 && 0 < a6 && 0 <= i38' && 1 <= i30 && i30 + -1 = i38' && x = 2

main_GT_301(a6, 0, i23, 2, i12) -{9,9}> main_Load_264(a6, 0, i51', 2, i12) :|: 0 < i23 && 0 <= i23 && 0 < a6 && 2 <= i12 && 1 <= i23 && 0 <= 0 && 0 <= i51' && i23 + -1 = i51'
was transformed to
main_GT_301(a6, x, i23, x', i12) -{9,9}> main_Load_264(a6, 0, i51', 2, i12) :|: 0 < i23 && 0 <= i23 && 0 < a6 && 2 <= i12 && 1 <= i23 && 0 <= 0 && 0 <= i51' && i23 + -1 = i51' && x = 0 && x' = 2

(12) Obligation:

IntTrs with 4 rules
Start term: main_Load_2(args, static)
Considered paths: all paths from start
Rules:
main_GT_301(a6, i30, i23, x, i12) -{5,5}> main_Load_264(a6, i38', i23, 2, i12) :|: 0 < i30 && 0 <= i23 && 0 <= i30 && 2 <= i12 && 0 < a6 && 0 <= i38' && 1 <= i30 && i30 + -1 = i38' && x = 2
main_GT_301(a6, x, i23, x', i12) -{9,9}> main_Load_264(a6, 0, i51', 2, i12) :|: 0 < i23 && 0 <= i23 && 0 < a6 && 2 <= i12 && 1 <= i23 && 0 <= 0 && 0 <= i51' && i23 + -1 = i51' && x = 0 && x' = 2
main_Load_264(a6, i8, i23, iconst_2, i12) -{1,1}> main_GT_301(a6, i8, i23, iconst_2, i12) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i23
main_Load_2(o2, static) -{46,46}> main_Load_264(o2, i8', i23', 2, i5') :|: static'4 <= static'3 + 1 && 0 <= i23' && 0 <= 1 && 0 < 2 && 0 <= i8' && o25' < o2 && 2 <= i5' && 0 < o2 && 0 <= i5' && 1 <= static'4 && i23' <= o25' && 0 < o25' && 0 <= o7' && -1 * static'4 <= 1 && 0 <= static'3 && 0 < 1 && 0 <= static && 0 <= static''' && static''' <= static + 2 && 0 <= static'1 && static'1 <= static''' + 1 && o2 <= static'3 && 0 <= static'2 && -1 * static'3 <= 0 && i8' <= o7' && 0 <= o2 && o7' < o2 && 0 < o7' && 0 <= static'4 && o2 <= static'4 && i5' < o2 && 0 <= 2 && 0 <= o25' && static'2 <= static'1 + 0 && static'3 <= static'2 + o2 && static'5 <= static'4 + 2 && 1 <= i5'

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

Moved arithmethic from constraints to rhss.

main_GT_301(a6, x, i23, x', i12) -{9,9}> main_Load_264(a6, 0, i51', 2, i12) :|: 0 < i23 && 0 <= i23 && 0 < a6 && 2 <= i12 && 1 <= i23 && 0 <= 0 && 0 <= i51' && i23 + -1 = i51' && x = 0 && x' = 2
was transformed to
main_GT_301(a6, x, i23, x', i12) -{9,9}> main_Load_264(a6, 0, i23 + -1, 2, i12) :|: 0 < i23 && 0 <= i23 && 0 < a6 && 2 <= i12 && 1 <= i23 && 0 <= 0 && 0 <= i51' && i23 + -1 = i51' && x = 0 && x' = 2

main_GT_301(a6, i30, i23, x, i12) -{5,5}> main_Load_264(a6, i38', i23, 2, i12) :|: 0 < i30 && 0 <= i23 && 0 <= i30 && 2 <= i12 && 0 < a6 && 0 <= i38' && 1 <= i30 && i30 + -1 = i38' && x = 2
was transformed to
main_GT_301(a6, i30, i23, x, i12) -{5,5}> main_Load_264(a6, i30 + -1, i23, 2, i12) :|: 0 < i30 && 0 <= i23 && 0 <= i30 && 2 <= i12 && 0 < a6 && 0 <= i38' && 1 <= i30 && i30 + -1 = i38' && x = 2

main_Load_264(a6, i8, i23, iconst_2, i12) -{1,1}> main_GT_301(a6, i8, i23, iconst_2, i12) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i23
was transformed to
main_Load_264(a6, i8, i23, iconst_2, i12) -{1,1}> main_GT_301(a6, i8, i23, 2, i12) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i23

(14) Obligation:

IntTrs with 4 rules
Start term: main_Load_2(args, static)
Considered paths: all paths from start
Rules:
main_GT_301(a6, x, i23, x', i12) -{9,9}> main_Load_264(a6, 0, i23 + -1, 2, i12) :|: 0 < i23 && 0 <= i23 && 0 < a6 && 2 <= i12 && 1 <= i23 && 0 <= 0 && 0 <= i51' && i23 + -1 = i51' && x = 0 && x' = 2
main_GT_301(a6, i30, i23, x, i12) -{5,5}> main_Load_264(a6, i30 + -1, i23, 2, i12) :|: 0 < i30 && 0 <= i23 && 0 <= i30 && 2 <= i12 && 0 < a6 && 0 <= i38' && 1 <= i30 && i30 + -1 = i38' && x = 2
main_Load_2(o2, static) -{46,46}> main_Load_264(o2, i8', i23', 2, i5') :|: static'4 <= static'3 + 1 && 0 <= i23' && 0 <= 1 && 0 < 2 && 0 <= i8' && o25' < o2 && 2 <= i5' && 0 < o2 && 0 <= i5' && 1 <= static'4 && i23' <= o25' && 0 < o25' && 0 <= o7' && -1 * static'4 <= 1 && 0 <= static'3 && 0 < 1 && 0 <= static && 0 <= static''' && static''' <= static + 2 && 0 <= static'1 && static'1 <= static''' + 1 && o2 <= static'3 && 0 <= static'2 && -1 * static'3 <= 0 && i8' <= o7' && 0 <= o2 && o7' < o2 && 0 < o7' && 0 <= static'4 && o2 <= static'4 && i5' < o2 && 0 <= 2 && 0 <= o25' && static'2 <= static'1 + 0 && static'3 <= static'2 + o2 && static'5 <= static'4 + 2 && 1 <= i5'
main_Load_264(a6, i8, i23, iconst_2, i12) -{1,1}> main_GT_301(a6, i8, i23, 2, i12) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i23

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

Simplified expressions.

main_GT_301(a6, i30, i23, x, i12) -{5,5}> main_Load_264(a6, i30 + -1, i23, 2, i12) :|: 0 < i30 && 0 <= i23 && 0 <= i30 && 2 <= i12 && 0 < a6 && 0 <= i38' && 1 <= i30 && i30 + -1 = i38' && x = 2
was transformed to
main_GT_301(a6, i30, i23, x, i12) -{5,5}> main_Load_264(a6, i30 - 1, i23, 2, i12) :|: 0 < i30 && 0 <= i23 && 2 <= i12 && 0 < a6 && 0 <= i38' && 1 <= i30 && i30 - 1 = i38' && x = 2

main_GT_301(a6, x, i23, x', i12) -{9,9}> main_Load_264(a6, 0, i23 + -1, 2, i12) :|: 0 < i23 && 0 <= i23 && 0 < a6 && 2 <= i12 && 1 <= i23 && 0 <= 0 && 0 <= i51' && i23 + -1 = i51' && x = 0 && x' = 2
was transformed to
main_GT_301(a6, x, i23, x', i12) -{9,9}> main_Load_264(a6, 0, i23 - 1, 2, i12) :|: 0 < i23 && 0 < a6 && 2 <= i12 && 1 <= i23 && 0 <= i51' && i23 - 1 = i51' && x = 0 && x' = 2

main_Load_2(o2, static) -{46,46}> main_Load_264(o2, i8', i23', 2, i5') :|: static'4 <= static'3 + 1 && 0 <= i23' && 0 <= 1 && 0 < 2 && 0 <= i8' && o25' < o2 && 2 <= i5' && 0 < o2 && 0 <= i5' && 1 <= static'4 && i23' <= o25' && 0 < o25' && 0 <= o7' && -1 * static'4 <= 1 && 0 <= static'3 && 0 < 1 && 0 <= static && 0 <= static''' && static''' <= static + 2 && 0 <= static'1 && static'1 <= static''' + 1 && o2 <= static'3 && 0 <= static'2 && -1 * static'3 <= 0 && i8' <= o7' && 0 <= o2 && o7' < o2 && 0 < o7' && 0 <= static'4 && o2 <= static'4 && i5' < o2 && 0 <= 2 && 0 <= o25' && static'2 <= static'1 + 0 && static'3 <= static'2 + o2 && static'5 <= static'4 + 2 && 1 <= i5'
was transformed to
main_Load_2(o2, static) -{46,46}> main_Load_264(o2, i8', i23', 2, i5') :|: static'4 <= static'3 + 1 && 0 <= i23' && 0 <= i8' && o25' < o2 && 2 <= i5' && 0 < o2 && 0 <= i5' && 1 <= static'4 && i23' <= o25' && 0 < o25' && -1 * static'4 <= 1 && 0 <= static'3 && 0 <= static && 0 <= static''' && static''' <= static + 2 && 0 <= static'1 && static'1 <= static''' + 1 && o2 <= static'3 && 0 <= static'2 && -1 * static'3 <= 0 && i8' <= o7' && o7' < o2 && 0 < o7' && 0 <= static'4 && o2 <= static'4 && i5' < o2 && static'2 <= static'1 && static'3 <= static'2 + o2 && static'5 <= static'4 + 2 && 1 <= i5'

(16) Obligation:

IntTrs with 4 rules
Start term: main_Load_2(args, static)
Considered paths: all paths from start
Rules:
main_GT_301(a6, i30, i23, x, i12) -{5,5}> main_Load_264(a6, i30 - 1, i23, 2, i12) :|: 0 < i30 && 0 <= i23 && 2 <= i12 && 0 < a6 && 0 <= i38' && 1 <= i30 && i30 - 1 = i38' && x = 2
main_GT_301(a6, x, i23, x', i12) -{9,9}> main_Load_264(a6, 0, i23 - 1, 2, i12) :|: 0 < i23 && 0 < a6 && 2 <= i12 && 1 <= i23 && 0 <= i51' && i23 - 1 = i51' && x = 0 && x' = 2
main_Load_2(o2, static) -{46,46}> main_Load_264(o2, i8', i23', 2, i5') :|: static'4 <= static'3 + 1 && 0 <= i23' && 0 <= i8' && o25' < o2 && 2 <= i5' && 0 < o2 && 0 <= i5' && 1 <= static'4 && i23' <= o25' && 0 < o25' && -1 * static'4 <= 1 && 0 <= static'3 && 0 <= static && 0 <= static''' && static''' <= static + 2 && 0 <= static'1 && static'1 <= static''' + 1 && o2 <= static'3 && 0 <= static'2 && -1 * static'3 <= 0 && i8' <= o7' && o7' < o2 && 0 < o7' && 0 <= static'4 && o2 <= static'4 && i5' < o2 && static'2 <= static'1 && static'3 <= static'2 + o2 && static'5 <= static'4 + 2 && 1 <= i5'
main_Load_264(a6, i8, i23, iconst_2, i12) -{1,1}> main_GT_301(a6, i8, i23, 2, i12) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i23

(17) koat Proof (EQUIVALENT transformation)

YES(?, 60*ar_0 + 46)

Initial complexity problem:
1: T:
(Comp: ?, Cost: 5) main_GT_301(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_264(ar_0, ar_1 - 1, ar_2, 2, ar_4)) [ 0 < ar_1 /\ 0 <= ar_2 /\ 2 <= ar_4 /\ 0 < ar_0 /\ 0 <= i38' /\ 1 <= ar_1 /\ ar_1 - 1 = i38' /\ ar_3 = 2 ]
(Comp: ?, Cost: 9) main_GT_301(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_264(ar_0, 0, ar_2 - 1, 2, ar_4)) [ 0 < ar_2 /\ 0 < ar_0 /\ 2 <= ar_4 /\ 1 <= ar_2 /\ 0 <= i51' /\ ar_2 - 1 = i51' /\ ar_1 = 0 /\ ar_3 = 2 ]
(Comp: ?, Cost: 46) main_Load_2(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_264(ar_0, i8', i23', 2, i5')) [ static'4 <= static'3 + 1 /\ 0 <= i23' /\ 0 <= i8' /\ o25' < ar_0 /\ 2 <= i5' /\ 0 < ar_0 /\ 0 <= i5' /\ 1 <= static'4 /\ i23' <= o25' /\ 0 < o25' /\ -static'4 <= 1 /\ 0 <= static'3 /\ 0 <= ar_1 /\ 0 <= static''' /\ static''' <= ar_1 + 2 /\ 0 <= static'1 /\ static'1 <= static''' + 1 /\ ar_0 <= static'3 /\ 0 <= static'2 /\ -static'3 <= 0 /\ i8' <= o7' /\ o7' < ar_0 /\ 0 < o7' /\ 0 <= static'4 /\ ar_0 <= static'4 /\ i5' < ar_0 /\ static'2 <= static'1 /\ static'3 <= static'2 + ar_0 /\ static'5 <= static'4 + 2 /\ 1 <= i5' ]
(Comp: ?, Cost: 1) main_Load_264(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_GT_301(ar_0, ar_1, ar_2, 2, ar_4)) [ 2 <= ar_4 /\ 0 < ar_0 /\ 0 <= ar_1 /\ ar_3 = 2 /\ 0 <= ar_2 ]
(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: 5) main_GT_301(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_264(ar_0, ar_1 - 1, ar_2, 2, ar_4)) [ 0 < ar_1 /\ 0 <= ar_2 /\ 2 <= ar_4 /\ 0 < ar_0 /\ 0 <= i38' /\ 1 <= ar_1 /\ ar_1 - 1 = i38' /\ ar_3 = 2 ]
(Comp: ?, Cost: 9) main_GT_301(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_264(ar_0, 0, ar_2 - 1, 2, ar_4)) [ 0 < ar_2 /\ 0 < ar_0 /\ 2 <= ar_4 /\ 1 <= ar_2 /\ 0 <= i51' /\ ar_2 - 1 = i51' /\ ar_1 = 0 /\ ar_3 = 2 ]
(Comp: 1, Cost: 46) main_Load_2(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_264(ar_0, i8', i23', 2, i5')) [ static'4 <= static'3 + 1 /\ 0 <= i23' /\ 0 <= i8' /\ o25' < ar_0 /\ 2 <= i5' /\ 0 < ar_0 /\ 0 <= i5' /\ 1 <= static'4 /\ i23' <= o25' /\ 0 < o25' /\ -static'4 <= 1 /\ 0 <= static'3 /\ 0 <= ar_1 /\ 0 <= static''' /\ static''' <= ar_1 + 2 /\ 0 <= static'1 /\ static'1 <= static''' + 1 /\ ar_0 <= static'3 /\ 0 <= static'2 /\ -static'3 <= 0 /\ i8' <= o7' /\ o7' < ar_0 /\ 0 < o7' /\ 0 <= static'4 /\ ar_0 <= static'4 /\ i5' < ar_0 /\ static'2 <= static'1 /\ static'3 <= static'2 + ar_0 /\ static'5 <= static'4 + 2 /\ 1 <= i5' ]
(Comp: ?, Cost: 1) main_Load_264(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_GT_301(ar_0, ar_1, ar_2, 2, ar_4)) [ 2 <= ar_4 /\ 0 < ar_0 /\ 0 <= ar_1 /\ ar_3 = 2 /\ 0 <= ar_2 ]
(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

A polynomial rank function with
Pol(main_GT_301) = 2*V_2 + 2*V_3
Pol(main_Load_264) = 2*V_2 + 2*V_3 + 1
Pol(main_Load_2) = 4*V_1
Pol(koat_start) = 4*V_1
orients all transitions weakly and the transitions
main_Load_264(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_GT_301(ar_0, ar_1, ar_2, 2, ar_4)) [ 2 <= ar_4 /\ 0 < ar_0 /\ 0 <= ar_1 /\ ar_3 = 2 /\ 0 <= ar_2 ]
main_GT_301(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_264(ar_0, 0, ar_2 - 1, 2, ar_4)) [ 0 < ar_2 /\ 0 < ar_0 /\ 2 <= ar_4 /\ 1 <= ar_2 /\ 0 <= i51' /\ ar_2 - 1 = i51' /\ ar_1 = 0 /\ ar_3 = 2 ]
main_GT_301(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_264(ar_0, ar_1 - 1, ar_2, 2, ar_4)) [ 0 < ar_1 /\ 0 <= ar_2 /\ 2 <= ar_4 /\ 0 < ar_0 /\ 0 <= i38' /\ 1 <= ar_1 /\ ar_1 - 1 = i38' /\ ar_3 = 2 ]
strictly and produces the following problem:
3: T:
(Comp: 4*ar_0, Cost: 5) main_GT_301(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_264(ar_0, ar_1 - 1, ar_2, 2, ar_4)) [ 0 < ar_1 /\ 0 <= ar_2 /\ 2 <= ar_4 /\ 0 < ar_0 /\ 0 <= i38' /\ 1 <= ar_1 /\ ar_1 - 1 = i38' /\ ar_3 = 2 ]
(Comp: 4*ar_0, Cost: 9) main_GT_301(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_264(ar_0, 0, ar_2 - 1, 2, ar_4)) [ 0 < ar_2 /\ 0 < ar_0 /\ 2 <= ar_4 /\ 1 <= ar_2 /\ 0 <= i51' /\ ar_2 - 1 = i51' /\ ar_1 = 0 /\ ar_3 = 2 ]
(Comp: 1, Cost: 46) main_Load_2(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_264(ar_0, i8', i23', 2, i5')) [ static'4 <= static'3 + 1 /\ 0 <= i23' /\ 0 <= i8' /\ o25' < ar_0 /\ 2 <= i5' /\ 0 < ar_0 /\ 0 <= i5' /\ 1 <= static'4 /\ i23' <= o25' /\ 0 < o25' /\ -static'4 <= 1 /\ 0 <= static'3 /\ 0 <= ar_1 /\ 0 <= static''' /\ static''' <= ar_1 + 2 /\ 0 <= static'1 /\ static'1 <= static''' + 1 /\ ar_0 <= static'3 /\ 0 <= static'2 /\ -static'3 <= 0 /\ i8' <= o7' /\ o7' < ar_0 /\ 0 < o7' /\ 0 <= static'4 /\ ar_0 <= static'4 /\ i5' < ar_0 /\ static'2 <= static'1 /\ static'3 <= static'2 + ar_0 /\ static'5 <= static'4 + 2 /\ 1 <= i5' ]
(Comp: 4*ar_0, Cost: 1) main_Load_264(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_GT_301(ar_0, ar_1, ar_2, 2, ar_4)) [ 2 <= ar_4 /\ 0 < ar_0 /\ 0 <= ar_1 /\ ar_3 = 2 /\ 0 <= ar_2 ]
(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

Complexity upper bound 60*ar_0 + 46

Time: 0.303 sec (SMT: 0.270 sec)

(18) BOUNDS(CONSTANT, 46 + 60 * |args|)

(19) TerminationGraphToComplexityProof (BOTH CONCRETE BOUNDS(ID, ADD(92)) transformation)

Extracted set of 86 edges for the analysis of TIME complexity. Kept leaves.

(20) Obligation:

Set of 86 edges based on JBC Program.
Performed SCC analyses:

• Used field analysis yielded the following read fields:
  

Considered paths: nonterm paths and paths from start to sinks

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

Transformed 86 jbc graph edges to a weighted ITS with 86 rules.
Used simplified encoding of division and modulo.
Filtered conditions with variables that do not depend on the variables on the lhs or rhs without taking transitive dependencies into account.
Did no encode lower bounds for putfield and astore.

(22) Obligation:

IntTrs with 86 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_2(o2, env, static) -{0,0}> main_Load_3(o2, env, static) :|: 0 < o2
main_Load_3(o2, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_5(o2, env, static) :|: 0 < o2
langle_clinit_rangle_ConstantStackPush_5(o2, env, static) -{1,1}> langle_clinit_rangle_ArrayCreate_10(iconst_0, o2, env, static) :|: 0 < o2 && iconst_0 = 0
langle_clinit_rangle_ArrayCreate_10(iconst_0, o2, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_12(a2, o2, iconst_0, env, static) :|: a2 = 2 && 0 < o2 && iconst_0 = 0 && 0 < a2
langle_clinit_rangle_FieldAccess_12(a2, o2, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_14(o2, env, static') :|: 0 <= a2 && 0 < o2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2
langle_clinit_rangle_New_14(o2, env, static) -{0,0}> langle_clinit_rangle_New_15(o2, env, static) :|: 0 < o2
langle_clinit_rangle_New_15(o2, env, static) -{0,0}> langle_clinit_rangle_New_16(o2, env, static) :|: 0 < o2 && 0 <= static
langle_clinit_rangle_New_16(o2, env, static) -{1,1}> langle_clinit_rangle_Duplicate_18(o4, o2, env, static) :|: o4 = 1 && 0 < o2 && 0 < o4
langle_clinit_rangle_Duplicate_18(o4, o2, env, static) -{1,1}> langle_clinit_rangle_ConstantStackPush_20(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_clinit_rangle_ConstantStackPush_20(o4, o2, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_22(o4, NULL, o2, env, static) :|: NULL = 0 && 0 < o2 && 0 < o4
langle_clinit_rangle_InvokeMethod_22(o4, NULL, o2, env, static) -{1,1}> langle_init_rangle_Load_24(o4, o2, env, static) :|: NULL = 0 && 0 < o2 && 0 < o4
langle_init_rangle_Load_24(o4, o2, env, static) -{1,1}> langle_init_rangle_InvokeMethod_26(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_InvokeMethod_26(o4, o2, env, static) -{1,1}> langle_init_rangle_Load_28(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Load_28(o4, o2, env, static) -{1,1}> langle_init_rangle_InvokeMethod_30(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_InvokeMethod_30(o4, o2, env, static) -{1,1}> langle_init_rangle_Return_32(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Return_32(o4, o2, env, static) -{1,1}> langle_init_rangle_Return_34(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Return_34(o4, o2, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_36(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_clinit_rangle_FieldAccess_36(o4, o2, env, static) -{1,1}> langle_clinit_rangle_Return_38(o2, env, static') :|: 0 < o2 && 0 <= o4 && 0 < o4 && 0 <= static && static' <= static + o4
langle_clinit_rangle_Return_38(o2, env, static) -{1,1}> main_Load_41(o2, env, static) :|: 0 < o2
main_Load_41(o2, env, static) -{0,0}> main_Load_42(o2, env, static) :|: 0 < o2
main_Load_42(o2, env, static) -{0,0}> main_Load_43(o2, env, static) :|: 0 < o2 && 0 <= static
main_Load_43(o2, env, static) -{0,0}> main_Load_45(o2, env, static) :|: 0 < o2
main_Load_45(o2, env, static) -{0,0}> main_Load_47(o2, env, static) :|: 0 < o2
main_Load_47(o2, env, static) -{1,1}> main_FieldAccess_51(o2, env, static) :|: 0 < o2
main_FieldAccess_51(o2, env, static) -{0,0}> main_FieldAccess_53(o2, env, static) :|: 0 < o2
main_FieldAccess_53(o2, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_54(o2, NULL, iconst_0, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
langle_clinit_rangle_ConstantStackPush_54(o2, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_57(iconst_0, o2, NULL, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
langle_clinit_rangle_FieldAccess_57(iconst_0, o2, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_59(o2, NULL, iconst_0, env, static') :|: NULL = 0 && 0 < o2 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0
langle_clinit_rangle_Return_59(o2, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_61(o2, NULL, iconst_0, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
main_FieldAccess_61(o2, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_63(o2, iconst_0, env, static') :|: NULL = 0 && 0 < o2 && 0 <= o2 && iconst_0 = 0 && 0 <= static && static' <= static + o2
main_InvokeMethod_63(o2, iconst_0, env, static) -{1,1}> random_FieldAccess_65(o2, iconst_0, env, static) :|: 0 < o2 && iconst_0 = 0
random_FieldAccess_65(o2, iconst_0, env, static) -{1,1}> random_FieldAccess_67(o2, iconst_0, env, static) :|: 0 < o2 && o2 <= static && 0 <= o2 && iconst_0 = 0 && 0 <= static
random_FieldAccess_67(o2, iconst_0, env, static) -{1,1}> random_ArrayAccess_69(o2, iconst_0, env, static) :|: 0 < o2 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static
random_ArrayAccess_69(a6, iconst_0, env, static) -{0,0}> random_ArrayAccess_72(a6, iconst_0, i5, env, static) :|: i5 < a6 && iconst_0 = 0 && 0 < a6 && 0 <= i5
random_ArrayAccess_72(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_72(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_85(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_85(iconst_0, o7, a6, i6, env, static) -{1,1}> random_IntArithmetic_89(iconst_0, iconst_1, o7, a6, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && iconst_0 = 0 && 0 <= o7 && 0 < a6
random_IntArithmetic_89(iconst_0, iconst_1, o7, a6, i6, env, static) -{1,1}> random_FieldAccess_92(iconst_1, o7, a6, iconst_0, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && iconst_0 = 0 && 0 <= o7 && 0 < a6
random_FieldAccess_92(iconst_1, o7, a6, iconst_0, i6, env, static) -{1,1}> random_Load_96(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_96(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_109(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_Store_109(a6, i8, iconst_1, i6, env, static) -{1,1}> main_InvokeMethod_113(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_InvokeMethod_113(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_118(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_FieldAccess_118(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_132(a6, i8, iconst_1, i6, env, static) :|: 0 <= a6 && 1 <= i6 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8
random_FieldAccess_132(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_146(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_147(a6, iconst_1, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i12
random_ArrayAccess_147(a6, iconst_1, i8, i12, env, static) -{1,1}> random_Store_151(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && o25 < a6 && 0 < a6 && 0 <= i8 && 0 <= o25
random_Store_151(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_FieldAccess_155(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_FieldAccess_155(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_ConstantStackPush_168(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_168(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_IntArithmetic_180(iconst_1, o25, a6, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_IntArithmetic_180(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_FieldAccess_188(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_188(iconst_2, o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_Load_198(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_198(o25, a6, i8, iconst_2, i12, env, static) -{1,1}> random_InvokeMethod_213(o25, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2
random_InvokeMethod_213(o50, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_220(o50, a6, i8, iconst_2, i12, env, static) :|: 0 < o50 && 2 <= i12 && 0 <= o50 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_213(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_222(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_220(o50, a6, i8, iconst_2, i12, env, static) -{1,1}> random_Return_242(i23, a6, i8, iconst_2, i12, env, static) :|: i23 <= o50 && 0 < o50 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i23
random_Return_242(i23, a6, i8, iconst_2, i12, env, static) -{1,1}> main_Store_253(a6, i23, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i23
main_Store_253(a6, i23, i8, iconst_2, i12, env, static) -{1,1}> main_Load_264(a6, i8, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i23
main_Load_264(a6, i8, i23, iconst_2, i12, env, static) -{1,1}> main_GT_301(a6, i8, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i23
main_GT_301(a6, iconst_0, i23, iconst_2, i12, env, static) -{0,0}> main_GT_317(a6, iconst_0, i23, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2 && 0 <= i23
main_GT_301(a6, i30, i23, iconst_2, i12, env, static) -{0,0}> main_GT_318(a6, i30, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i30 && 1 <= i30 && 0 < a6 && iconst_2 = 2 && 0 <= i23
main_GT_317(a6, iconst_0, i23, iconst_2, i12, env, static) -{1,1}> main_Load_326(a6, iconst_0, i23, iconst_2, i12, env, static) :|: iconst_0 <= 0 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2 && 0 <= i23
main_GT_318(a6, i30, i23, iconst_2, i12, env, static) -{1,1}> main_Load_328(a6, i30, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < i30 && 1 <= i30 && 0 < a6 && iconst_2 = 2 && 0 <= i23
main_Load_326(a6, iconst_0, i23, iconst_2, i12, env, static) -{1,1}> main_LE_340(a6, i23, iconst_0, iconst_2, i12, env, static) :|: 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2 && 0 <= i23
main_Load_328(a6, i30, i23, iconst_2, i12, env, static) -{1,1}> main_LE_341(a6, i30, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i30 && 0 < a6 && iconst_2 = 2 && 0 <= i23
main_LE_340(a6, iconst_0, iconst_0, iconst_2, i12, env, static) -{0,0}> main_LE_360(a6, iconst_0, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2
main_LE_340(a6, i34, iconst_0, iconst_2, i12, env, static) -{0,0}> main_LE_361(a6, i34, iconst_0, iconst_2, i12, env, static) :|: 2 <= i12 && iconst_0 = 0 && 1 <= i34 && 0 < a6 && 0 <= i34 && iconst_2 = 2
main_LE_341(a6, i30, i23, iconst_2, i12, env, static) -{1,1}> main_Inc_363(a6, i30, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < i30 && 1 <= i30 && 0 < a6 && iconst_2 = 2 && 0 <= i23
main_LE_361(a6, i34, iconst_0, iconst_2, i12, env, static) -{1,1}> main_Load_381(a6, iconst_0, i34, iconst_2, i12, env, static) :|: 2 <= i12 && iconst_0 = 0 && 0 < i34 && 1 <= i34 && 0 < a6 && iconst_2 = 2
main_Inc_363(a6, i30, i23, iconst_2, i12, env, static) -{1,1}> main_JMP_384(a6, i38, i23, iconst_2, i12, env, static) :|: i30 + -1 = i38 && 2 <= i12 && 0 <= i38 && 1 <= i30 && 0 < a6 && iconst_2 = 2 && 0 <= i23
main_Load_381(a6, iconst_0, i34, iconst_2, i12, env, static) -{1,1}> main_LE_402(a6, iconst_0, i34, iconst_2, i12, env, static) :|: 2 <= i12 && iconst_0 = 0 && 1 <= i34 && 0 < a6 && iconst_2 = 2
main_JMP_384(a6, i38, i23, iconst_2, i12, env, static) -{1,1}> main_Load_420(a6, i38, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i38 && 0 < a6 && iconst_2 = 2 && 0 <= i23
main_LE_402(a6, iconst_0, i34, iconst_2, i12, env, static) -{1,1}> main_Load_443(a6, iconst_0, i34, iconst_2, i12, env, static) :|: iconst_0 <= 0 && 2 <= i12 && iconst_0 = 0 && 1 <= i34 && 0 < a6 && iconst_2 = 2
main_Load_420(a6, i38, i23, iconst_2, i12, env, static) -{0,0}> main_Load_264(a6, i38, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i38 && 0 < a6 && iconst_2 = 2 && 0 <= i23
main_Load_443(a6, iconst_0, i34, iconst_2, i12, env, static) -{1,1}> main_LE_452(a6, i34, iconst_0, iconst_2, i12, env, static) :|: 2 <= i12 && iconst_0 = 0 && 1 <= i34 && 0 < a6 && iconst_2 = 2
main_LE_452(a6, i34, iconst_0, iconst_2, i12, env, static) -{1,1}> main_Inc_461(a6, iconst_0, i34, iconst_2, i12, env, static) :|: 2 <= i12 && iconst_0 = 0 && 0 < i34 && 1 <= i34 && 0 < a6 && iconst_2 = 2
main_Inc_461(a6, iconst_0, i34, iconst_2, i12, env, static) -{1,1}> main_JMP_471(a6, iconst_0, i51, iconst_2, i12, env, static) :|: i34 + -1 = i51 && 0 <= i51 && 2 <= i12 && iconst_0 = 0 && 1 <= i34 && 0 < a6 && iconst_2 = 2
main_JMP_471(a6, iconst_0, i51, iconst_2, i12, env, static) -{1,1}> main_Load_487(a6, iconst_0, i51, iconst_2, i12, env, static) :|: 0 <= i51 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2
main_Load_487(a6, iconst_0, i51, iconst_2, i12, env, static) -{0,0}> main_Load_264(a6, iconst_0, i51, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 0 <= i51 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2

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

obtained
main_Load_2(o2, env, static) -{23,23}> random_ArrayAccess_72(o2, 0, i5', env, static'3) :|: static'3 <= static'2 + o2 && 0 <= i5' && static'2 <= static'1 + 0 && 0 < o2 && 0 <= 2 && i5' < o2 && 0 <= o2 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && -1 * static'3 <= 0 && 0 <= static && 0 < 1 && 0 < 2 && 0 <= 1 && 0 <= static'3
by chaining
main_Load_2(o2, env, static) -{0,0}> main_Load_3(o2, env, static) :|: 0 < o2
main_Load_3(o2, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_5(o2, env, static) :|: 0 < o2
langle_clinit_rangle_ConstantStackPush_5(o2, env, static) -{1,1}> langle_clinit_rangle_ArrayCreate_10(iconst_0, o2, env, static) :|: 0 < o2 && iconst_0 = 0
langle_clinit_rangle_ArrayCreate_10(iconst_0, o2, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_12(a2, o2, iconst_0, env, static) :|: a2 = 2 && 0 < o2 && iconst_0 = 0 && 0 < a2
langle_clinit_rangle_FieldAccess_12(a2, o2, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_14(o2, env, static') :|: 0 <= a2 && 0 < o2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2
langle_clinit_rangle_New_14(o2, env, static) -{0,0}> langle_clinit_rangle_New_15(o2, env, static) :|: 0 < o2
langle_clinit_rangle_New_15(o2, env, static) -{0,0}> langle_clinit_rangle_New_16(o2, env, static) :|: 0 < o2 && 0 <= static
langle_clinit_rangle_New_16(o2, env, static) -{1,1}> langle_clinit_rangle_Duplicate_18(o4, o2, env, static) :|: o4 = 1 && 0 < o2 && 0 < o4
langle_clinit_rangle_Duplicate_18(o4, o2, env, static) -{1,1}> langle_clinit_rangle_ConstantStackPush_20(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_clinit_rangle_ConstantStackPush_20(o4, o2, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_22(o4, NULL, o2, env, static) :|: NULL = 0 && 0 < o2 && 0 < o4
langle_clinit_rangle_InvokeMethod_22(o4, NULL, o2, env, static) -{1,1}> langle_init_rangle_Load_24(o4, o2, env, static) :|: NULL = 0 && 0 < o2 && 0 < o4
langle_init_rangle_Load_24(o4, o2, env, static) -{1,1}> langle_init_rangle_InvokeMethod_26(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_InvokeMethod_26(o4, o2, env, static) -{1,1}> langle_init_rangle_Load_28(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Load_28(o4, o2, env, static) -{1,1}> langle_init_rangle_InvokeMethod_30(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_InvokeMethod_30(o4, o2, env, static) -{1,1}> langle_init_rangle_Return_32(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Return_32(o4, o2, env, static) -{1,1}> langle_init_rangle_Return_34(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Return_34(o4, o2, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_36(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_clinit_rangle_FieldAccess_36(o4, o2, env, static) -{1,1}> langle_clinit_rangle_Return_38(o2, env, static') :|: 0 < o2 && 0 <= o4 && 0 < o4 && 0 <= static && static' <= static + o4
langle_clinit_rangle_Return_38(o2, env, static) -{1,1}> main_Load_41(o2, env, static) :|: 0 < o2
main_Load_41(o2, env, static) -{0,0}> main_Load_42(o2, env, static) :|: 0 < o2
main_Load_42(o2, env, static) -{0,0}> main_Load_43(o2, env, static) :|: 0 < o2 && 0 <= static
main_Load_43(o2, env, static) -{0,0}> main_Load_45(o2, env, static) :|: 0 < o2
main_Load_45(o2, env, static) -{0,0}> main_Load_47(o2, env, static) :|: 0 < o2
main_Load_47(o2, env, static) -{1,1}> main_FieldAccess_51(o2, env, static) :|: 0 < o2
main_FieldAccess_51(o2, env, static) -{0,0}> main_FieldAccess_53(o2, env, static) :|: 0 < o2
main_FieldAccess_53(o2, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_54(o2, NULL, iconst_0, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
langle_clinit_rangle_ConstantStackPush_54(o2, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_57(iconst_0, o2, NULL, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
langle_clinit_rangle_FieldAccess_57(iconst_0, o2, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_59(o2, NULL, iconst_0, env, static') :|: NULL = 0 && 0 < o2 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0
langle_clinit_rangle_Return_59(o2, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_61(o2, NULL, iconst_0, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
main_FieldAccess_61(o2, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_63(o2, iconst_0, env, static') :|: NULL = 0 && 0 < o2 && 0 <= o2 && iconst_0 = 0 && 0 <= static && static' <= static + o2
main_InvokeMethod_63(o2, iconst_0, env, static) -{1,1}> random_FieldAccess_65(o2, iconst_0, env, static) :|: 0 < o2 && iconst_0 = 0
random_FieldAccess_65(o2, iconst_0, env, static) -{1,1}> random_FieldAccess_67(o2, iconst_0, env, static) :|: 0 < o2 && o2 <= static && 0 <= o2 && iconst_0 = 0 && 0 <= static
random_FieldAccess_67(o2, iconst_0, env, static) -{1,1}> random_ArrayAccess_69(o2, iconst_0, env, static) :|: 0 < o2 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static
random_ArrayAccess_69(a6, iconst_0, env, static) -{0,0}> random_ArrayAccess_72(a6, iconst_0, i5, env, static) :|: i5 < a6 && iconst_0 = 0 && 0 < a6 && 0 <= i5

obtained
random_ArrayAccess_72(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_72(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_85(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_85(iconst_0, o7, a6, i6, env, static) -{1,1}> random_IntArithmetic_89(iconst_0, iconst_1, o7, a6, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && iconst_0 = 0 && 0 <= o7 && 0 < a6
random_IntArithmetic_89(iconst_0, iconst_1, o7, a6, i6, env, static) -{1,1}> random_FieldAccess_92(iconst_1, o7, a6, iconst_0, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && iconst_0 = 0 && 0 <= o7 && 0 < a6
random_FieldAccess_92(iconst_1, o7, a6, iconst_0, i6, env, static) -{1,1}> random_Load_96(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_96(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_109(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_Store_109(a6, i8, iconst_1, i6, env, static) -{1,1}> main_InvokeMethod_113(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_InvokeMethod_113(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_118(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_FieldAccess_118(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_132(a6, i8, iconst_1, i6, env, static) :|: 0 <= a6 && 1 <= i6 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8
random_FieldAccess_132(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_213(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_147(a6, iconst_1, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i12
random_ArrayAccess_147(a6, iconst_1, i8, i12, env, static) -{1,1}> random_Store_151(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && o25 < a6 && 0 < a6 && 0 <= i8 && 0 <= o25
random_Store_151(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_FieldAccess_155(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_FieldAccess_155(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_ConstantStackPush_168(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_168(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_IntArithmetic_180(iconst_1, o25, a6, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_IntArithmetic_180(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_FieldAccess_188(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_188(iconst_2, o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_Load_198(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_198(o25, a6, i8, iconst_2, i12, env, static) -{1,1}> random_InvokeMethod_213(o25, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2

obtained
random_InvokeMethod_213(o50, a6, i8, 2, i12, env, static) -{3,3}> main_Load_264(a6, i8, i23', 2, i12, env, static) :|: 0 < a6 && 0 <= i23' && 0 <= o50 && 0 <= i8 && 0 < o50 && 2 <= i12 && i23' <= o50
by chaining
random_InvokeMethod_213(o50, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_220(o50, a6, i8, iconst_2, i12, env, static) :|: 0 < o50 && 2 <= i12 && 0 <= o50 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_220(o50, a6, i8, iconst_2, i12, env, static) -{1,1}> random_Return_242(i23, a6, i8, iconst_2, i12, env, static) :|: i23 <= o50 && 0 < o50 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i23
random_Return_242(i23, a6, i8, iconst_2, i12, env, static) -{1,1}> main_Store_253(a6, i23, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i23
main_Store_253(a6, i23, i8, iconst_2, i12, env, static) -{1,1}> main_Load_264(a6, i8, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i23

obtained
main_GT_301(a6, i30, i23, 2, i12, env, static) -{5,5}> main_Load_264(a6, i38', i23, 2, i12, env, static) :|: 0 < i30 && 0 <= i23 && 0 <= i30 && 2 <= i12 && 0 < a6 && 0 <= i38' && 1 <= i30 && i30 + -1 = i38'
by chaining
main_GT_301(a6, i30, i23, iconst_2, i12, env, static) -{0,0}> main_GT_318(a6, i30, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i30 && 1 <= i30 && 0 < a6 && iconst_2 = 2 && 0 <= i23
main_GT_318(a6, i30, i23, iconst_2, i12, env, static) -{1,1}> main_Load_328(a6, i30, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < i30 && 1 <= i30 && 0 < a6 && iconst_2 = 2 && 0 <= i23
main_Load_328(a6, i30, i23, iconst_2, i12, env, static) -{1,1}> main_LE_341(a6, i30, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i30 && 0 < a6 && iconst_2 = 2 && 0 <= i23
main_LE_341(a6, i30, i23, iconst_2, i12, env, static) -{1,1}> main_Inc_363(a6, i30, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < i30 && 1 <= i30 && 0 < a6 && iconst_2 = 2 && 0 <= i23
main_Inc_363(a6, i30, i23, iconst_2, i12, env, static) -{1,1}> main_JMP_384(a6, i38, i23, iconst_2, i12, env, static) :|: i30 + -1 = i38 && 2 <= i12 && 0 <= i38 && 1 <= i30 && 0 < a6 && iconst_2 = 2 && 0 <= i23
main_JMP_384(a6, i38, i23, iconst_2, i12, env, static) -{1,1}> main_Load_420(a6, i38, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i38 && 0 < a6 && iconst_2 = 2 && 0 <= i23
main_Load_420(a6, i38, i23, iconst_2, i12, env, static) -{0,0}> main_Load_264(a6, i38, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i38 && 0 < a6 && iconst_2 = 2 && 0 <= i23

obtained
main_GT_301(a6, 0, i23, 2, i12, env, static) -{2,2}> main_LE_340(a6, i23, 0, 2, i12, env, static) :|: 0 <= 0 && 0 <= i23 && 2 <= i12 && 0 < a6
by chaining
main_GT_301(a6, iconst_0, i23, iconst_2, i12, env, static) -{0,0}> main_GT_317(a6, iconst_0, i23, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2 && 0 <= i23
main_GT_317(a6, iconst_0, i23, iconst_2, i12, env, static) -{1,1}> main_Load_326(a6, iconst_0, i23, iconst_2, i12, env, static) :|: iconst_0 <= 0 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2 && 0 <= i23
main_Load_326(a6, iconst_0, i23, iconst_2, i12, env, static) -{1,1}> main_LE_340(a6, i23, iconst_0, iconst_2, i12, env, static) :|: 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2 && 0 <= i23

obtained
main_LE_340(a6, i34, 0, 2, i12, env, static) -{7,7}> main_Load_264(a6, 0, i51', 2, i12, env, static) :|: 0 < i34 && 0 <= 0 && 0 < a6 && 2 <= i12 && 1 <= i34 && 0 <= i34 && 0 <= i51' && i34 + -1 = i51'
by chaining
main_LE_340(a6, i34, iconst_0, iconst_2, i12, env, static) -{0,0}> main_LE_361(a6, i34, iconst_0, iconst_2, i12, env, static) :|: 2 <= i12 && iconst_0 = 0 && 1 <= i34 && 0 < a6 && 0 <= i34 && iconst_2 = 2
main_LE_361(a6, i34, iconst_0, iconst_2, i12, env, static) -{1,1}> main_Load_381(a6, iconst_0, i34, iconst_2, i12, env, static) :|: 2 <= i12 && iconst_0 = 0 && 0 < i34 && 1 <= i34 && 0 < a6 && iconst_2 = 2
main_Load_381(a6, iconst_0, i34, iconst_2, i12, env, static) -{1,1}> main_LE_402(a6, iconst_0, i34, iconst_2, i12, env, static) :|: 2 <= i12 && iconst_0 = 0 && 1 <= i34 && 0 < a6 && iconst_2 = 2
main_LE_402(a6, iconst_0, i34, iconst_2, i12, env, static) -{1,1}> main_Load_443(a6, iconst_0, i34, iconst_2, i12, env, static) :|: iconst_0 <= 0 && 2 <= i12 && iconst_0 = 0 && 1 <= i34 && 0 < a6 && iconst_2 = 2
main_Load_443(a6, iconst_0, i34, iconst_2, i12, env, static) -{1,1}> main_LE_452(a6, i34, iconst_0, iconst_2, i12, env, static) :|: 2 <= i12 && iconst_0 = 0 && 1 <= i34 && 0 < a6 && iconst_2 = 2
main_LE_452(a6, i34, iconst_0, iconst_2, i12, env, static) -{1,1}> main_Inc_461(a6, iconst_0, i34, iconst_2, i12, env, static) :|: 2 <= i12 && iconst_0 = 0 && 0 < i34 && 1 <= i34 && 0 < a6 && iconst_2 = 2
main_Inc_461(a6, iconst_0, i34, iconst_2, i12, env, static) -{1,1}> main_JMP_471(a6, iconst_0, i51, iconst_2, i12, env, static) :|: i34 + -1 = i51 && 0 <= i51 && 2 <= i12 && iconst_0 = 0 && 1 <= i34 && 0 < a6 && iconst_2 = 2
main_JMP_471(a6, iconst_0, i51, iconst_2, i12, env, static) -{1,1}> main_Load_487(a6, iconst_0, i51, iconst_2, i12, env, static) :|: 0 <= i51 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2
main_Load_487(a6, iconst_0, i51, iconst_2, i12, env, static) -{0,0}> main_Load_264(a6, iconst_0, i51, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 0 <= i51 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2

(24) Obligation:

IntTrs with 14 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_2(o2, env, static) -{23,23}> random_ArrayAccess_72(o2, 0, i5', env, static'3) :|: static'3 <= static'2 + o2 && 0 <= i5' && static'2 <= static'1 + 0 && 0 < o2 && 0 <= 2 && i5' < o2 && 0 <= o2 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && -1 * static'3 <= 0 && 0 <= static && 0 < 1 && 0 < 2 && 0 <= 1 && 0 <= static'3
random_ArrayAccess_72(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_72(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_146(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_213(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_213(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_222(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_213(o50, a6, i8, 2, i12, env, static) -{3,3}> main_Load_264(a6, i8, i23', 2, i12, env, static) :|: 0 < a6 && 0 <= i23' && 0 <= o50 && 0 <= i8 && 0 < o50 && 2 <= i12 && i23' <= o50
main_Load_264(a6, i8, i23, iconst_2, i12, env, static) -{1,1}> main_GT_301(a6, i8, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i23
main_GT_301(a6, i30, i23, 2, i12, env, static) -{5,5}> main_Load_264(a6, i38', i23, 2, i12, env, static) :|: 0 < i30 && 0 <= i23 && 0 <= i30 && 2 <= i12 && 0 < a6 && 0 <= i38' && 1 <= i30 && i30 + -1 = i38'
main_GT_301(a6, 0, i23, 2, i12, env, static) -{2,2}> main_LE_340(a6, i23, 0, 2, i12, env, static) :|: 0 <= 0 && 0 <= i23 && 2 <= i12 && 0 < a6
main_LE_340(a6, iconst_0, iconst_0, iconst_2, i12, env, static) -{0,0}> main_LE_360(a6, iconst_0, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2
main_LE_340(a6, i34, 0, 2, i12, env, static) -{7,7}> main_Load_264(a6, 0, i51', 2, i12, env, static) :|: 0 < i34 && 0 <= 0 && 0 < a6 && 2 <= i12 && 1 <= i34 && 0 <= i34 && 0 <= i51' && i34 + -1 = i51'

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

Moved arithmethic from lhss to constraints.

random_InvokeMethod_213(o50, a6, i8, 2, i12, env, static) -{3,3}> main_Load_264(a6, i8, i23', 2, i12, env, static) :|: 0 < a6 && 0 <= i23' && 0 <= o50 && 0 <= i8 && 0 < o50 && 2 <= i12 && i23' <= o50
was transformed to
random_InvokeMethod_213(o50, a6, i8, x, i12, env, static) -{3,3}> main_Load_264(a6, i8, i23', 2, i12, env, static) :|: 0 < a6 && 0 <= i23' && 0 <= o50 && 0 <= i8 && 0 < o50 && 2 <= i12 && i23' <= o50 && x = 2

main_GT_301(a6, 0, i23, 2, i12, env, static) -{2,2}> main_LE_340(a6, i23, 0, 2, i12, env, static) :|: 0 <= 0 && 0 <= i23 && 2 <= i12 && 0 < a6
was transformed to
main_GT_301(a6, x, i23, x', i12, env, static) -{2,2}> main_LE_340(a6, i23, 0, 2, i12, env, static) :|: 0 <= 0 && 0 <= i23 && 2 <= i12 && 0 < a6 && x = 0 && x' = 2

random_ArrayAccess_143(a6, 1, i8, i12, env, static) -{7,7}> random_InvokeMethod_213(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_213(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_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

main_LE_340(a6, i34, 0, 2, i12, env, static) -{7,7}> main_Load_264(a6, 0, i51', 2, i12, env, static) :|: 0 < i34 && 0 <= 0 && 0 < a6 && 2 <= i12 && 1 <= i34 && 0 <= i34 && 0 <= i51' && i34 + -1 = i51'
was transformed to
main_LE_340(a6, i34, x, x', i12, env, static) -{7,7}> main_Load_264(a6, 0, i51', 2, i12, env, static) :|: 0 < i34 && 0 <= 0 && 0 < a6 && 2 <= i12 && 1 <= i34 && 0 <= i34 && 0 <= i51' && i34 + -1 = i51' && x = 0 && x' = 2

main_GT_301(a6, i30, i23, 2, i12, env, static) -{5,5}> main_Load_264(a6, i38', i23, 2, i12, env, static) :|: 0 < i30 && 0 <= i23 && 0 <= i30 && 2 <= i12 && 0 < a6 && 0 <= i38' && 1 <= i30 && i30 + -1 = i38'
was transformed to
main_GT_301(a6, i30, i23, x, i12, env, static) -{5,5}> main_Load_264(a6, i38', i23, 2, i12, env, static) :|: 0 < i30 && 0 <= i23 && 0 <= i30 && 2 <= i12 && 0 < a6 && 0 <= i38' && 1 <= i30 && i30 + -1 = i38' && x = 2

random_ArrayAccess_72(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_72(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

(26) Obligation:

IntTrs with 14 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_2(o2, env, static) -{23,23}> random_ArrayAccess_72(o2, 0, i5', env, static'3) :|: static'3 <= static'2 + o2 && 0 <= i5' && static'2 <= static'1 + 0 && 0 < o2 && 0 <= 2 && i5' < o2 && 0 <= o2 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && -1 * static'3 <= 0 && 0 <= static && 0 < 1 && 0 < 2 && 0 <= 1 && 0 <= static'3
random_InvokeMethod_213(o50, a6, i8, x, i12, env, static) -{3,3}> main_Load_264(a6, i8, i23', 2, i12, env, static) :|: 0 < a6 && 0 <= i23' && 0 <= o50 && 0 <= i8 && 0 < o50 && 2 <= i12 && i23' <= o50 && x = 2
random_InvokeMethod_213(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_222(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ArrayAccess_143(a6, iconst_1, i8, iconst_1, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8
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
main_GT_301(a6, x, i23, x', i12, env, static) -{2,2}> main_LE_340(a6, i23, 0, 2, i12, env, static) :|: 0 <= 0 && 0 <= i23 && 2 <= i12 && 0 < a6 && x = 0 && x' = 2
main_LE_340(a6, iconst_0, iconst_0, iconst_2, i12, env, static) -{0,0}> main_LE_360(a6, iconst_0, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_213(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_ArrayAccess_72(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_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_LE_340(a6, i34, x, x', i12, env, static) -{7,7}> main_Load_264(a6, 0, i51', 2, i12, env, static) :|: 0 < i34 && 0 <= 0 && 0 < a6 && 2 <= i12 && 1 <= i34 && 0 <= i34 && 0 <= i51' && i34 + -1 = i51' && x = 0 && x' = 2
main_GT_301(a6, i30, i23, x, i12, env, static) -{5,5}> main_Load_264(a6, i38', i23, 2, i12, env, static) :|: 0 < i30 && 0 <= i23 && 0 <= i30 && 2 <= i12 && 0 < a6 && 0 <= i38' && 1 <= i30 && i30 + -1 = i38' && x = 2
main_Load_264(a6, i8, i23, iconst_2, i12, env, static) -{1,1}> main_GT_301(a6, i8, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i23
random_ArrayAccess_72(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

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

Linearized lhss.

random_ArrayAccess_143(a6, iconst_1, i8, iconst_1, env, static) -{0,0}> random_ArrayAccess_146(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_146(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && x = iconst_1

main_LE_340(a6, iconst_0, iconst_0, iconst_2, i12, env, static) -{0,0}> main_LE_360(a6, iconst_0, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2
was transformed to
main_LE_340(a6, iconst_0, x, iconst_2, i12, env, static) -{0,0}> main_LE_360(a6, iconst_0, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2 && x = iconst_0

random_ArrayAccess_72(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_72(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

(28) Obligation:

IntTrs with 14 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_2(o2, env, static) -{23,23}> random_ArrayAccess_72(o2, 0, i5', env, static'3) :|: static'3 <= static'2 + o2 && 0 <= i5' && static'2 <= static'1 + 0 && 0 < o2 && 0 <= 2 && i5' < o2 && 0 <= o2 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && -1 * static'3 <= 0 && 0 <= static && 0 < 1 && 0 < 2 && 0 <= 1 && 0 <= static'3
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_213(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_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_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, iconst_1, i8, x, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && x = iconst_1
random_InvokeMethod_213(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_222(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_GT_301(a6, i30, i23, x, i12, env, static) -{5,5}> main_Load_264(a6, i38', i23, 2, i12, env, static) :|: 0 < i30 && 0 <= i23 && 0 <= i30 && 2 <= i12 && 0 < a6 && 0 <= i38' && 1 <= i30 && i30 + -1 = i38' && x = 2
main_LE_340(a6, i34, x, x', i12, env, static) -{7,7}> main_Load_264(a6, 0, i51', 2, i12, env, static) :|: 0 < i34 && 0 <= 0 && 0 < a6 && 2 <= i12 && 1 <= i34 && 0 <= i34 && 0 <= i51' && i34 + -1 = i51' && x = 0 && x' = 2
main_LE_340(a6, iconst_0, x, iconst_2, i12, env, static) -{0,0}> main_LE_360(a6, iconst_0, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2 && x = iconst_0
random_ArrayAccess_72(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_213(o50, a6, i8, x, i12, env, static) -{3,3}> main_Load_264(a6, i8, i23', 2, i12, env, static) :|: 0 < a6 && 0 <= i23' && 0 <= o50 && 0 <= i8 && 0 < o50 && 2 <= i12 && i23' <= o50 && x = 2
random_ArrayAccess_72(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_264(a6, i8, i23, iconst_2, i12, env, static) -{1,1}> main_GT_301(a6, i8, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i23
main_GT_301(a6, x, i23, x', i12, env, static) -{2,2}> main_LE_340(a6, i23, 0, 2, i12, env, static) :|: 0 <= 0 && 0 <= i23 && 2 <= i12 && 0 < a6 && x = 0 && x' = 2

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

Moved arithmethic from constraints to rhss.

random_ArrayAccess_143(a6, iconst_1, i8, x, env, static) -{0,0}> random_ArrayAccess_146(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_146(a6, 1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && x = iconst_1

random_InvokeMethod_213(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_222(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_213(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_222(0, a6, i8, 2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2

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

main_GT_301(a6, i30, i23, x, i12, env, static) -{5,5}> main_Load_264(a6, i38', i23, 2, i12, env, static) :|: 0 < i30 && 0 <= i23 && 0 <= i30 && 2 <= i12 && 0 < a6 && 0 <= i38' && 1 <= i30 && i30 + -1 = i38' && x = 2
was transformed to
main_GT_301(a6, i30, i23, x, i12, env, static) -{5,5}> main_Load_264(a6, i30 + -1, i23, 2, i12, env, static) :|: 0 < i30 && 0 <= i23 && 0 <= i30 && 2 <= i12 && 0 < a6 && 0 <= i38' && 1 <= i30 && i30 + -1 = i38' && x = 2

main_LE_340(a6, i34, x, x', i12, env, static) -{7,7}> main_Load_264(a6, 0, i51', 2, i12, env, static) :|: 0 < i34 && 0 <= 0 && 0 < a6 && 2 <= i12 && 1 <= i34 && 0 <= i34 && 0 <= i51' && i34 + -1 = i51' && x = 0 && x' = 2
was transformed to
main_LE_340(a6, i34, x, x', i12, env, static) -{7,7}> main_Load_264(a6, 0, i34 + -1, 2, i12, env, static) :|: 0 < i34 && 0 <= 0 && 0 < a6 && 2 <= i12 && 1 <= i34 && 0 <= i34 && 0 <= i51' && i34 + -1 = i51' && x = 0 && x' = 2

random_ArrayAccess_72(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_72(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_Load_264(a6, i8, i23, iconst_2, i12, env, static) -{1,1}> main_GT_301(a6, i8, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i23
was transformed to
main_Load_264(a6, i8, i23, iconst_2, i12, env, static) -{1,1}> main_GT_301(a6, i8, i23, 2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i23

main_LE_340(a6, iconst_0, x, iconst_2, i12, env, static) -{0,0}> main_LE_360(a6, iconst_0, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2 && x = iconst_0
was transformed to
main_LE_340(a6, iconst_0, x, iconst_2, i12, env, static) -{0,0}> main_LE_360(a6, 0, 2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2 && x = iconst_0

(30) Obligation:

IntTrs with 14 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_2(o2, env, static) -{23,23}> random_ArrayAccess_72(o2, 0, i5', env, static'3) :|: static'3 <= static'2 + o2 && 0 <= i5' && static'2 <= static'1 + 0 && 0 < o2 && 0 <= 2 && i5' < o2 && 0 <= o2 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && -1 * static'3 <= 0 && 0 <= static && 0 < 1 && 0 < 2 && 0 <= 1 && 0 <= static'3
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_213(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_ArrayAccess_143(a6, iconst_1, i8, x, env, static) -{0,0}> random_ArrayAccess_146(a6, 1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && x = iconst_1
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_213(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_222(0, a6, i8, 2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
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_GT_301(a6, i30, i23, x, i12, env, static) -{5,5}> main_Load_264(a6, i30 + -1, i23, 2, i12, env, static) :|: 0 < i30 && 0 <= i23 && 0 <= i30 && 2 <= i12 && 0 < a6 && 0 <= i38' && 1 <= i30 && i30 + -1 = i38' && x = 2
main_LE_340(a6, i34, x, x', i12, env, static) -{7,7}> main_Load_264(a6, 0, i34 + -1, 2, i12, env, static) :|: 0 < i34 && 0 <= 0 && 0 < a6 && 2 <= i12 && 1 <= i34 && 0 <= i34 && 0 <= i51' && i34 + -1 = i51' && x = 0 && x' = 2
random_InvokeMethod_213(o50, a6, i8, x, i12, env, static) -{3,3}> main_Load_264(a6, i8, i23', 2, i12, env, static) :|: 0 < a6 && 0 <= i23' && 0 <= o50 && 0 <= i8 && 0 < o50 && 2 <= i12 && i23' <= o50 && x = 2
random_ArrayAccess_72(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_ArrayAccess_72(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_GT_301(a6, x, i23, x', i12, env, static) -{2,2}> main_LE_340(a6, i23, 0, 2, i12, env, static) :|: 0 <= 0 && 0 <= i23 && 2 <= i12 && 0 < a6 && x = 0 && x' = 2
main_Load_264(a6, i8, i23, iconst_2, i12, env, static) -{1,1}> main_GT_301(a6, i8, i23, 2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i23
main_LE_340(a6, iconst_0, x, iconst_2, i12, env, static) -{0,0}> main_LE_360(a6, 0, 2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2 && x = iconst_0

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

Simplified expressions.

main_Load_2(o2, env, static) -{23,23}> random_ArrayAccess_72(o2, 0, i5', env, static'3) :|: static'3 <= static'2 + o2 && 0 <= i5' && static'2 <= static'1 + 0 && 0 < o2 && 0 <= 2 && i5' < o2 && 0 <= o2 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && -1 * static'3 <= 0 && 0 <= static && 0 < 1 && 0 < 2 && 0 <= 1 && 0 <= static'3
was transformed to
main_Load_2(o2, env, static) -{23,23}> random_ArrayAccess_72(o2, 0, i5', env, static'3) :|: static'3 <= static'2 + o2 && 0 <= i5' && static'2 <= static'1 && 0 < o2 && i5' < o2 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && -1 * static'3 <= 0 && 0 <= static && 0 <= static'3

main_LE_340(a6, i34, x, x', i12, env, static) -{7,7}> main_Load_264(a6, 0, i34 + -1, 2, i12, env, static) :|: 0 < i34 && 0 <= 0 && 0 < a6 && 2 <= i12 && 1 <= i34 && 0 <= i34 && 0 <= i51' && i34 + -1 = i51' && x = 0 && x' = 2
was transformed to
main_LE_340(a6, i34, x, x', i12, env, static) -{7,7}> main_Load_264(a6, 0, i34 - 1, 2, i12, env, static) :|: 0 < i34 && 0 < a6 && 2 <= i12 && 1 <= i34 && 0 <= i51' && i34 - 1 = i51' && x = 0 && x' = 2

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

main_GT_301(a6, i30, i23, x, i12, env, static) -{5,5}> main_Load_264(a6, i30 + -1, i23, 2, i12, env, static) :|: 0 < i30 && 0 <= i23 && 0 <= i30 && 2 <= i12 && 0 < a6 && 0 <= i38' && 1 <= i30 && i30 + -1 = i38' && x = 2
was transformed to
main_GT_301(a6, i30, i23, x, i12, env, static) -{5,5}> main_Load_264(a6, i30 - 1, i23, 2, i12, env, static) :|: 0 < i30 && 0 <= i23 && 2 <= i12 && 0 < a6 && 0 <= i38' && 1 <= i30 && i30 - 1 = i38' && x = 2

random_InvokeMethod_213(o50, a6, i8, x, i12, env, static) -{3,3}> main_Load_264(a6, i8, i23', 2, i12, env, static) :|: 0 < a6 && 0 <= i23' && 0 <= o50 && 0 <= i8 && 0 < o50 && 2 <= i12 && i23' <= o50 && x = 2
was transformed to
random_InvokeMethod_213(o50, a6, i8, x, i12, env, static) -{3,3}> main_Load_264(a6, i8, i23', 2, i12, env, static) :|: 0 < a6 && 0 <= i23' && 0 <= i8 && 0 < o50 && 2 <= i12 && i23' <= o50 && x = 2

main_GT_301(a6, x, i23, x', i12, env, static) -{2,2}> main_LE_340(a6, i23, 0, 2, i12, env, static) :|: 0 <= 0 && 0 <= i23 && 2 <= i12 && 0 < a6 && x = 0 && x' = 2
was transformed to
main_GT_301(a6, x, i23, x', i12, env, static) -{2,2}> main_LE_340(a6, i23, 0, 2, i12, env, static) :|: 0 <= i23 && 2 <= i12 && 0 < a6 && x = 0 && x' = 2

(32) Obligation:

IntTrs with 14 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
random_ArrayAccess_72(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_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_213(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_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
main_LE_340(a6, i34, x, x', i12, env, static) -{7,7}> main_Load_264(a6, 0, i34 - 1, 2, i12, env, static) :|: 0 < i34 && 0 < a6 && 2 <= i12 && 1 <= i34 && 0 <= i51' && i34 - 1 = i51' && x = 0 && x' = 2
random_InvokeMethod_213(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_222(0, a6, i8, 2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Load_2(o2, env, static) -{23,23}> random_ArrayAccess_72(o2, 0, i5', env, static'3) :|: static'3 <= static'2 + o2 && 0 <= i5' && static'2 <= static'1 && 0 < o2 && i5' < o2 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && -1 * static'3 <= 0 && 0 <= static && 0 <= static'3
main_GT_301(a6, i30, i23, x, i12, env, static) -{5,5}> main_Load_264(a6, i30 - 1, i23, 2, i12, env, static) :|: 0 < i30 && 0 <= i23 && 2 <= i12 && 0 < a6 && 0 <= i38' && 1 <= i30 && i30 - 1 = i38' && x = 2
main_GT_301(a6, x, i23, x', i12, env, static) -{2,2}> main_LE_340(a6, i23, 0, 2, i12, env, static) :|: 0 <= i23 && 2 <= i12 && 0 < a6 && x = 0 && x' = 2
random_InvokeMethod_213(o50, a6, i8, x, i12, env, static) -{3,3}> main_Load_264(a6, i8, i23', 2, i12, env, static) :|: 0 < a6 && 0 <= i23' && 0 <= i8 && 0 < o50 && 2 <= i12 && i23' <= o50 && x = 2
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_ArrayAccess_143(a6, iconst_1, i8, x, env, static) -{0,0}> random_ArrayAccess_146(a6, 1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && x = iconst_1
random_ArrayAccess_72(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_LE_340(a6, iconst_0, x, iconst_2, i12, env, static) -{0,0}> main_LE_360(a6, 0, 2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2 && x = iconst_0
main_Load_264(a6, i8, i23, iconst_2, i12, env, static) -{1,1}> main_GT_301(a6, i8, i23, 2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i23

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

Transformed 86 jbc graph edges to a weighted ITS with 86 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.

(34) Obligation:

IntTrs with 86 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_2(o2, env, static) -{0,0}> main_Load_3(o2, env, static) :|: 0 < o2
main_Load_3(o2, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_5(o2, env, static) :|: 0 < o2
langle_clinit_rangle_ConstantStackPush_5(o2, env, static) -{1,1}> langle_clinit_rangle_ArrayCreate_10(iconst_0, o2, env, static) :|: 0 < o2 && iconst_0 = 0
langle_clinit_rangle_ArrayCreate_10(iconst_0, o2, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_12(a2, o2, iconst_0, env, static) :|: a2 = 2 && 0 < o2 && iconst_0 = 0 && 0 < a2
langle_clinit_rangle_FieldAccess_12(a2, o2, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_14(o2, env, static') :|: 0 <= a2 && 0 < o2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2
langle_clinit_rangle_New_14(o2, env, static) -{0,0}> langle_clinit_rangle_New_15(o2, env, static) :|: 0 < o2
langle_clinit_rangle_New_15(o2, env, static) -{0,0}> langle_clinit_rangle_New_16(o2, env, static) :|: 0 < o2 && 0 <= static
langle_clinit_rangle_New_16(o2, env, static) -{1,1}> langle_clinit_rangle_Duplicate_18(o4, o2, env, static) :|: o4 = 1 && 0 < o2 && 0 < o4
langle_clinit_rangle_Duplicate_18(o4, o2, env, static) -{1,1}> langle_clinit_rangle_ConstantStackPush_20(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_clinit_rangle_ConstantStackPush_20(o4, o2, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_22(o4, NULL, o2, env, static) :|: NULL = 0 && 0 < o2 && 0 < o4
langle_clinit_rangle_InvokeMethod_22(o4, NULL, o2, env, static) -{1,1}> langle_init_rangle_Load_24(o4, o2, env, static) :|: NULL = 0 && 0 < o2 && 0 < o4
langle_init_rangle_Load_24(o4, o2, env, static) -{1,1}> langle_init_rangle_InvokeMethod_26(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_InvokeMethod_26(o4, o2, env, static) -{1,1}> langle_init_rangle_Load_28(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Load_28(o4, o2, env, static) -{1,1}> langle_init_rangle_InvokeMethod_30(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_InvokeMethod_30(o4, o2, env, static) -{1,1}> langle_init_rangle_Return_32(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Return_32(o4, o2, env, static) -{1,1}> langle_init_rangle_Return_34(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Return_34(o4, o2, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_36(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_clinit_rangle_FieldAccess_36(o4, o2, env, static) -{1,1}> langle_clinit_rangle_Return_38(o2, env, static') :|: 0 < o2 && 0 <= o4 && 0 < o4 && 0 <= static && static' <= static + o4
langle_clinit_rangle_Return_38(o2, env, static) -{1,1}> main_Load_41(o2, env, static) :|: 0 < o2
main_Load_41(o2, env, static) -{0,0}> main_Load_42(o2, env, static) :|: 0 < o2
main_Load_42(o2, env, static) -{0,0}> main_Load_43(o2, env, static) :|: 0 < o2 && 0 <= static
main_Load_43(o2, env, static) -{0,0}> main_Load_45(o2, env, static) :|: 0 < o2
main_Load_45(o2, env, static) -{0,0}> main_Load_47(o2, env, static) :|: 0 < o2
main_Load_47(o2, env, static) -{1,1}> main_FieldAccess_51(o2, env, static) :|: 0 < o2
main_FieldAccess_51(o2, env, static) -{0,0}> main_FieldAccess_53(o2, env, static) :|: 0 < o2
main_FieldAccess_53(o2, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_54(o2, NULL, iconst_0, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
langle_clinit_rangle_ConstantStackPush_54(o2, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_57(iconst_0, o2, NULL, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
langle_clinit_rangle_FieldAccess_57(iconst_0, o2, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_59(o2, NULL, iconst_0, env, static') :|: NULL = 0 && 0 < o2 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0
langle_clinit_rangle_Return_59(o2, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_61(o2, NULL, iconst_0, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
main_FieldAccess_61(o2, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_63(o2, iconst_0, env, static') :|: NULL = 0 && 0 < o2 && 0 <= o2 && iconst_0 = 0 && 0 <= static && static' <= static + o2
main_InvokeMethod_63(o2, iconst_0, env, static) -{1,1}> random_FieldAccess_65(o2, iconst_0, env, static) :|: 0 < o2 && iconst_0 = 0
random_FieldAccess_65(o2, iconst_0, env, static) -{1,1}> random_FieldAccess_67(o2, iconst_0, env, static) :|: 0 < o2 && o2 <= static && 0 <= o2 && iconst_0 = 0 && 0 <= static
random_FieldAccess_67(o2, iconst_0, env, static) -{1,1}> random_ArrayAccess_69(o2, iconst_0, env, static) :|: 0 < o2 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static
random_ArrayAccess_69(a6, iconst_0, env, static) -{0,0}> random_ArrayAccess_72(a6, iconst_0, i5, env, static) :|: i5 < a6 && iconst_0 = 0 && 0 < a6 && 0 <= i5
random_ArrayAccess_72(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_72(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_85(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_85(iconst_0, o7, a6, i6, env, static) -{1,1}> random_IntArithmetic_89(iconst_0, iconst_1, o7, a6, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && iconst_0 = 0 && 0 <= o7 && 0 < a6
random_IntArithmetic_89(iconst_0, iconst_1, o7, a6, i6, env, static) -{1,1}> random_FieldAccess_92(iconst_1, o7, a6, iconst_0, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && iconst_0 = 0 && 0 <= o7 && 0 < a6
random_FieldAccess_92(iconst_1, o7, a6, iconst_0, i6, env, static) -{1,1}> random_Load_96(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_96(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_109(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_Store_109(a6, i8, iconst_1, i6, env, static) -{1,1}> main_InvokeMethod_113(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_InvokeMethod_113(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_118(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_FieldAccess_118(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_132(a6, i8, iconst_1, i6, env, static) :|: 0 <= a6 && 1 <= i6 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8
random_FieldAccess_132(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_146(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_147(a6, iconst_1, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i12
random_ArrayAccess_147(a6, iconst_1, i8, i12, env, static) -{1,1}> random_Store_151(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && o25 < a6 && 0 < a6 && 0 <= i8 && 0 <= o25
random_Store_151(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_FieldAccess_155(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_FieldAccess_155(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_ConstantStackPush_168(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_168(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_IntArithmetic_180(iconst_1, o25, a6, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_IntArithmetic_180(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_FieldAccess_188(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_188(iconst_2, o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_Load_198(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_198(o25, a6, i8, iconst_2, i12, env, static) -{1,1}> random_InvokeMethod_213(o25, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2
random_InvokeMethod_213(o50, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_220(o50, a6, i8, iconst_2, i12, env, static) :|: 0 < o50 && 2 <= i12 && 0 <= o50 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_213(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_222(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_220(o50, a6, i8, iconst_2, i12, env, static) -{1,1}> random_Return_242(i23, a6, i8, iconst_2, i12, env, static) :|: i23 <= o50 && 0 < o50 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i23
random_Return_242(i23, a6, i8, iconst_2, i12, env, static) -{1,1}> main_Store_253(a6, i23, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i23
main_Store_253(a6, i23, i8, iconst_2, i12, env, static) -{1,1}> main_Load_264(a6, i8, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i23
main_Load_264(a6, i8, i23, iconst_2, i12, env, static) -{1,1}> main_GT_301(a6, i8, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i23
main_GT_301(a6, iconst_0, i23, iconst_2, i12, env, static) -{0,0}> main_GT_317(a6, iconst_0, i23, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2 && 0 <= i23
main_GT_301(a6, i30, i23, iconst_2, i12, env, static) -{0,0}> main_GT_318(a6, i30, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i30 && 1 <= i30 && 0 < a6 && iconst_2 = 2 && 0 <= i23
main_GT_317(a6, iconst_0, i23, iconst_2, i12, env, static) -{1,1}> main_Load_326(a6, iconst_0, i23, iconst_2, i12, env, static) :|: iconst_0 <= 0 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2 && 0 <= i23
main_GT_318(a6, i30, i23, iconst_2, i12, env, static) -{1,1}> main_Load_328(a6, i30, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < i30 && 1 <= i30 && 0 < a6 && iconst_2 = 2 && 0 <= i23
main_Load_326(a6, iconst_0, i23, iconst_2, i12, env, static) -{1,1}> main_LE_340(a6, i23, iconst_0, iconst_2, i12, env, static) :|: 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2 && 0 <= i23
main_Load_328(a6, i30, i23, iconst_2, i12, env, static) -{1,1}> main_LE_341(a6, i30, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i30 && 0 < a6 && iconst_2 = 2 && 0 <= i23
main_LE_340(a6, iconst_0, iconst_0, iconst_2, i12, env, static) -{0,0}> main_LE_360(a6, iconst_0, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2
main_LE_340(a6, i34, iconst_0, iconst_2, i12, env, static) -{0,0}> main_LE_361(a6, i34, iconst_0, iconst_2, i12, env, static) :|: 2 <= i12 && iconst_0 = 0 && 1 <= i34 && 0 < a6 && 0 <= i34 && iconst_2 = 2
main_LE_341(a6, i30, i23, iconst_2, i12, env, static) -{1,1}> main_Inc_363(a6, i30, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < i30 && 1 <= i30 && 0 < a6 && iconst_2 = 2 && 0 <= i23
main_LE_361(a6, i34, iconst_0, iconst_2, i12, env, static) -{1,1}> main_Load_381(a6, iconst_0, i34, iconst_2, i12, env, static) :|: 2 <= i12 && iconst_0 = 0 && 0 < i34 && 1 <= i34 && 0 < a6 && iconst_2 = 2
main_Inc_363(a6, i30, i23, iconst_2, i12, env, static) -{1,1}> main_JMP_384(a6, i38, i23, iconst_2, i12, env, static) :|: i30 + -1 = i38 && 2 <= i12 && 0 <= i38 && 1 <= i30 && 0 < a6 && iconst_2 = 2 && 0 <= i23
main_Load_381(a6, iconst_0, i34, iconst_2, i12, env, static) -{1,1}> main_LE_402(a6, iconst_0, i34, iconst_2, i12, env, static) :|: 2 <= i12 && iconst_0 = 0 && 1 <= i34 && 0 < a6 && iconst_2 = 2
main_JMP_384(a6, i38, i23, iconst_2, i12, env, static) -{1,1}> main_Load_420(a6, i38, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i38 && 0 < a6 && iconst_2 = 2 && 0 <= i23
main_LE_402(a6, iconst_0, i34, iconst_2, i12, env, static) -{1,1}> main_Load_443(a6, iconst_0, i34, iconst_2, i12, env, static) :|: iconst_0 <= 0 && 2 <= i12 && iconst_0 = 0 && 1 <= i34 && 0 < a6 && iconst_2 = 2
main_Load_420(a6, i38, i23, iconst_2, i12, env, static) -{0,0}> main_Load_264(a6, i38, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i38 && 0 < a6 && iconst_2 = 2 && 0 <= i23
main_Load_443(a6, iconst_0, i34, iconst_2, i12, env, static) -{1,1}> main_LE_452(a6, i34, iconst_0, iconst_2, i12, env, static) :|: 2 <= i12 && iconst_0 = 0 && 1 <= i34 && 0 < a6 && iconst_2 = 2
main_LE_452(a6, i34, iconst_0, iconst_2, i12, env, static) -{1,1}> main_Inc_461(a6, iconst_0, i34, iconst_2, i12, env, static) :|: 2 <= i12 && iconst_0 = 0 && 0 < i34 && 1 <= i34 && 0 < a6 && iconst_2 = 2
main_Inc_461(a6, iconst_0, i34, iconst_2, i12, env, static) -{1,1}> main_JMP_471(a6, iconst_0, i51, iconst_2, i12, env, static) :|: i34 + -1 = i51 && 0 <= i51 && 2 <= i12 && iconst_0 = 0 && 1 <= i34 && 0 < a6 && iconst_2 = 2
main_JMP_471(a6, iconst_0, i51, iconst_2, i12, env, static) -{1,1}> main_Load_487(a6, iconst_0, i51, iconst_2, i12, env, static) :|: 0 <= i51 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2
main_Load_487(a6, iconst_0, i51, iconst_2, i12, env, static) -{0,0}> main_Load_264(a6, iconst_0, i51, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 0 <= i51 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2

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

obtained
main_Load_2(o2, env, static) -{23,23}> random_ArrayAccess_72(o2, 0, i5', env, static'3) :|: static'3 <= static'2 + o2 && 0 <= i5' && static'2 <= static'1 + 0 && 0 < o2 && 0 <= 2 && i5' < o2 && 0 <= o2 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && -1 * static'3 <= 0 && 0 <= static && 0 < 1 && 0 < 2 && 0 <= 1 && 0 <= static'3
by chaining
main_Load_2(o2, env, static) -{0,0}> main_Load_3(o2, env, static) :|: 0 < o2
main_Load_3(o2, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_5(o2, env, static) :|: 0 < o2
langle_clinit_rangle_ConstantStackPush_5(o2, env, static) -{1,1}> langle_clinit_rangle_ArrayCreate_10(iconst_0, o2, env, static) :|: 0 < o2 && iconst_0 = 0
langle_clinit_rangle_ArrayCreate_10(iconst_0, o2, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_12(a2, o2, iconst_0, env, static) :|: a2 = 2 && 0 < o2 && iconst_0 = 0 && 0 < a2
langle_clinit_rangle_FieldAccess_12(a2, o2, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_14(o2, env, static') :|: 0 <= a2 && 0 < o2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2
langle_clinit_rangle_New_14(o2, env, static) -{0,0}> langle_clinit_rangle_New_15(o2, env, static) :|: 0 < o2
langle_clinit_rangle_New_15(o2, env, static) -{0,0}> langle_clinit_rangle_New_16(o2, env, static) :|: 0 < o2 && 0 <= static
langle_clinit_rangle_New_16(o2, env, static) -{1,1}> langle_clinit_rangle_Duplicate_18(o4, o2, env, static) :|: o4 = 1 && 0 < o2 && 0 < o4
langle_clinit_rangle_Duplicate_18(o4, o2, env, static) -{1,1}> langle_clinit_rangle_ConstantStackPush_20(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_clinit_rangle_ConstantStackPush_20(o4, o2, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_22(o4, NULL, o2, env, static) :|: NULL = 0 && 0 < o2 && 0 < o4
langle_clinit_rangle_InvokeMethod_22(o4, NULL, o2, env, static) -{1,1}> langle_init_rangle_Load_24(o4, o2, env, static) :|: NULL = 0 && 0 < o2 && 0 < o4
langle_init_rangle_Load_24(o4, o2, env, static) -{1,1}> langle_init_rangle_InvokeMethod_26(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_InvokeMethod_26(o4, o2, env, static) -{1,1}> langle_init_rangle_Load_28(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Load_28(o4, o2, env, static) -{1,1}> langle_init_rangle_InvokeMethod_30(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_InvokeMethod_30(o4, o2, env, static) -{1,1}> langle_init_rangle_Return_32(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Return_32(o4, o2, env, static) -{1,1}> langle_init_rangle_Return_34(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Return_34(o4, o2, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_36(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_clinit_rangle_FieldAccess_36(o4, o2, env, static) -{1,1}> langle_clinit_rangle_Return_38(o2, env, static') :|: 0 < o2 && 0 <= o4 && 0 < o4 && 0 <= static && static' <= static + o4
langle_clinit_rangle_Return_38(o2, env, static) -{1,1}> main_Load_41(o2, env, static) :|: 0 < o2
main_Load_41(o2, env, static) -{0,0}> main_Load_42(o2, env, static) :|: 0 < o2
main_Load_42(o2, env, static) -{0,0}> main_Load_43(o2, env, static) :|: 0 < o2 && 0 <= static
main_Load_43(o2, env, static) -{0,0}> main_Load_45(o2, env, static) :|: 0 < o2
main_Load_45(o2, env, static) -{0,0}> main_Load_47(o2, env, static) :|: 0 < o2
main_Load_47(o2, env, static) -{1,1}> main_FieldAccess_51(o2, env, static) :|: 0 < o2
main_FieldAccess_51(o2, env, static) -{0,0}> main_FieldAccess_53(o2, env, static) :|: 0 < o2
main_FieldAccess_53(o2, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_54(o2, NULL, iconst_0, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
langle_clinit_rangle_ConstantStackPush_54(o2, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_57(iconst_0, o2, NULL, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
langle_clinit_rangle_FieldAccess_57(iconst_0, o2, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_59(o2, NULL, iconst_0, env, static') :|: NULL = 0 && 0 < o2 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0
langle_clinit_rangle_Return_59(o2, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_61(o2, NULL, iconst_0, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
main_FieldAccess_61(o2, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_63(o2, iconst_0, env, static') :|: NULL = 0 && 0 < o2 && 0 <= o2 && iconst_0 = 0 && 0 <= static && static' <= static + o2
main_InvokeMethod_63(o2, iconst_0, env, static) -{1,1}> random_FieldAccess_65(o2, iconst_0, env, static) :|: 0 < o2 && iconst_0 = 0
random_FieldAccess_65(o2, iconst_0, env, static) -{1,1}> random_FieldAccess_67(o2, iconst_0, env, static) :|: 0 < o2 && o2 <= static && 0 <= o2 && iconst_0 = 0 && 0 <= static
random_FieldAccess_67(o2, iconst_0, env, static) -{1,1}> random_ArrayAccess_69(o2, iconst_0, env, static) :|: 0 < o2 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static
random_ArrayAccess_69(a6, iconst_0, env, static) -{0,0}> random_ArrayAccess_72(a6, iconst_0, i5, env, static) :|: i5 < a6 && iconst_0 = 0 && 0 < a6 && 0 <= i5

obtained
random_ArrayAccess_72(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_72(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_85(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_85(iconst_0, o7, a6, i6, env, static) -{1,1}> random_IntArithmetic_89(iconst_0, iconst_1, o7, a6, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && iconst_0 = 0 && 0 <= o7 && 0 < a6
random_IntArithmetic_89(iconst_0, iconst_1, o7, a6, i6, env, static) -{1,1}> random_FieldAccess_92(iconst_1, o7, a6, iconst_0, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && iconst_0 = 0 && 0 <= o7 && 0 < a6
random_FieldAccess_92(iconst_1, o7, a6, iconst_0, i6, env, static) -{1,1}> random_Load_96(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_96(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_109(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_Store_109(a6, i8, iconst_1, i6, env, static) -{1,1}> main_InvokeMethod_113(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_InvokeMethod_113(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_118(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_FieldAccess_118(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_132(a6, i8, iconst_1, i6, env, static) :|: 0 <= a6 && 1 <= i6 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8
random_FieldAccess_132(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_213(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_147(a6, iconst_1, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i12
random_ArrayAccess_147(a6, iconst_1, i8, i12, env, static) -{1,1}> random_Store_151(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && o25 < a6 && 0 < a6 && 0 <= i8 && 0 <= o25
random_Store_151(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_FieldAccess_155(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_FieldAccess_155(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_ConstantStackPush_168(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_168(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_IntArithmetic_180(iconst_1, o25, a6, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_IntArithmetic_180(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_FieldAccess_188(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_188(iconst_2, o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_Load_198(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_198(o25, a6, i8, iconst_2, i12, env, static) -{1,1}> random_InvokeMethod_213(o25, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2

obtained
random_InvokeMethod_213(o50, a6, i8, 2, i12, env, static) -{3,3}> main_Load_264(a6, i8, i23', 2, i12, env, static) :|: 0 < a6 && 0 <= i23' && 0 <= o50 && 0 <= i8 && 0 < o50 && 2 <= i12 && i23' <= o50
by chaining
random_InvokeMethod_213(o50, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_220(o50, a6, i8, iconst_2, i12, env, static) :|: 0 < o50 && 2 <= i12 && 0 <= o50 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_220(o50, a6, i8, iconst_2, i12, env, static) -{1,1}> random_Return_242(i23, a6, i8, iconst_2, i12, env, static) :|: i23 <= o50 && 0 < o50 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i23
random_Return_242(i23, a6, i8, iconst_2, i12, env, static) -{1,1}> main_Store_253(a6, i23, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i23
main_Store_253(a6, i23, i8, iconst_2, i12, env, static) -{1,1}> main_Load_264(a6, i8, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i23

obtained
main_GT_301(a6, i30, i23, 2, i12, env, static) -{5,5}> main_Load_264(a6, i38', i23, 2, i12, env, static) :|: 0 < i30 && 0 <= i23 && 0 <= i30 && 2 <= i12 && 0 < a6 && 0 <= i38' && 1 <= i30 && i30 + -1 = i38'
by chaining
main_GT_301(a6, i30, i23, iconst_2, i12, env, static) -{0,0}> main_GT_318(a6, i30, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i30 && 1 <= i30 && 0 < a6 && iconst_2 = 2 && 0 <= i23
main_GT_318(a6, i30, i23, iconst_2, i12, env, static) -{1,1}> main_Load_328(a6, i30, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < i30 && 1 <= i30 && 0 < a6 && iconst_2 = 2 && 0 <= i23
main_Load_328(a6, i30, i23, iconst_2, i12, env, static) -{1,1}> main_LE_341(a6, i30, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i30 && 0 < a6 && iconst_2 = 2 && 0 <= i23
main_LE_341(a6, i30, i23, iconst_2, i12, env, static) -{1,1}> main_Inc_363(a6, i30, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < i30 && 1 <= i30 && 0 < a6 && iconst_2 = 2 && 0 <= i23
main_Inc_363(a6, i30, i23, iconst_2, i12, env, static) -{1,1}> main_JMP_384(a6, i38, i23, iconst_2, i12, env, static) :|: i30 + -1 = i38 && 2 <= i12 && 0 <= i38 && 1 <= i30 && 0 < a6 && iconst_2 = 2 && 0 <= i23
main_JMP_384(a6, i38, i23, iconst_2, i12, env, static) -{1,1}> main_Load_420(a6, i38, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i38 && 0 < a6 && iconst_2 = 2 && 0 <= i23
main_Load_420(a6, i38, i23, iconst_2, i12, env, static) -{0,0}> main_Load_264(a6, i38, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i38 && 0 < a6 && iconst_2 = 2 && 0 <= i23

obtained
main_GT_301(a6, 0, i23, 2, i12, env, static) -{2,2}> main_LE_340(a6, i23, 0, 2, i12, env, static) :|: 0 <= 0 && 0 <= i23 && 2 <= i12 && 0 < a6
by chaining
main_GT_301(a6, iconst_0, i23, iconst_2, i12, env, static) -{0,0}> main_GT_317(a6, iconst_0, i23, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2 && 0 <= i23
main_GT_317(a6, iconst_0, i23, iconst_2, i12, env, static) -{1,1}> main_Load_326(a6, iconst_0, i23, iconst_2, i12, env, static) :|: iconst_0 <= 0 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2 && 0 <= i23
main_Load_326(a6, iconst_0, i23, iconst_2, i12, env, static) -{1,1}> main_LE_340(a6, i23, iconst_0, iconst_2, i12, env, static) :|: 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2 && 0 <= i23

obtained
main_LE_340(a6, i34, 0, 2, i12, env, static) -{7,7}> main_Load_264(a6, 0, i51', 2, i12, env, static) :|: 0 < i34 && 0 <= 0 && 0 < a6 && 2 <= i12 && 1 <= i34 && 0 <= i34 && 0 <= i51' && i34 + -1 = i51'
by chaining
main_LE_340(a6, i34, iconst_0, iconst_2, i12, env, static) -{0,0}> main_LE_361(a6, i34, iconst_0, iconst_2, i12, env, static) :|: 2 <= i12 && iconst_0 = 0 && 1 <= i34 && 0 < a6 && 0 <= i34 && iconst_2 = 2
main_LE_361(a6, i34, iconst_0, iconst_2, i12, env, static) -{1,1}> main_Load_381(a6, iconst_0, i34, iconst_2, i12, env, static) :|: 2 <= i12 && iconst_0 = 0 && 0 < i34 && 1 <= i34 && 0 < a6 && iconst_2 = 2
main_Load_381(a6, iconst_0, i34, iconst_2, i12, env, static) -{1,1}> main_LE_402(a6, iconst_0, i34, iconst_2, i12, env, static) :|: 2 <= i12 && iconst_0 = 0 && 1 <= i34 && 0 < a6 && iconst_2 = 2
main_LE_402(a6, iconst_0, i34, iconst_2, i12, env, static) -{1,1}> main_Load_443(a6, iconst_0, i34, iconst_2, i12, env, static) :|: iconst_0 <= 0 && 2 <= i12 && iconst_0 = 0 && 1 <= i34 && 0 < a6 && iconst_2 = 2
main_Load_443(a6, iconst_0, i34, iconst_2, i12, env, static) -{1,1}> main_LE_452(a6, i34, iconst_0, iconst_2, i12, env, static) :|: 2 <= i12 && iconst_0 = 0 && 1 <= i34 && 0 < a6 && iconst_2 = 2
main_LE_452(a6, i34, iconst_0, iconst_2, i12, env, static) -{1,1}> main_Inc_461(a6, iconst_0, i34, iconst_2, i12, env, static) :|: 2 <= i12 && iconst_0 = 0 && 0 < i34 && 1 <= i34 && 0 < a6 && iconst_2 = 2
main_Inc_461(a6, iconst_0, i34, iconst_2, i12, env, static) -{1,1}> main_JMP_471(a6, iconst_0, i51, iconst_2, i12, env, static) :|: i34 + -1 = i51 && 0 <= i51 && 2 <= i12 && iconst_0 = 0 && 1 <= i34 && 0 < a6 && iconst_2 = 2
main_JMP_471(a6, iconst_0, i51, iconst_2, i12, env, static) -{1,1}> main_Load_487(a6, iconst_0, i51, iconst_2, i12, env, static) :|: 0 <= i51 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2
main_Load_487(a6, iconst_0, i51, iconst_2, i12, env, static) -{0,0}> main_Load_264(a6, iconst_0, i51, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 0 <= i51 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2

(36) Obligation:

IntTrs with 14 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_2(o2, env, static) -{23,23}> random_ArrayAccess_72(o2, 0, i5', env, static'3) :|: static'3 <= static'2 + o2 && 0 <= i5' && static'2 <= static'1 + 0 && 0 < o2 && 0 <= 2 && i5' < o2 && 0 <= o2 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && -1 * static'3 <= 0 && 0 <= static && 0 < 1 && 0 < 2 && 0 <= 1 && 0 <= static'3
random_ArrayAccess_72(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_72(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_146(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_213(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_213(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_222(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_213(o50, a6, i8, 2, i12, env, static) -{3,3}> main_Load_264(a6, i8, i23', 2, i12, env, static) :|: 0 < a6 && 0 <= i23' && 0 <= o50 && 0 <= i8 && 0 < o50 && 2 <= i12 && i23' <= o50
main_Load_264(a6, i8, i23, iconst_2, i12, env, static) -{1,1}> main_GT_301(a6, i8, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i23
main_GT_301(a6, i30, i23, 2, i12, env, static) -{5,5}> main_Load_264(a6, i38', i23, 2, i12, env, static) :|: 0 < i30 && 0 <= i23 && 0 <= i30 && 2 <= i12 && 0 < a6 && 0 <= i38' && 1 <= i30 && i30 + -1 = i38'
main_GT_301(a6, 0, i23, 2, i12, env, static) -{2,2}> main_LE_340(a6, i23, 0, 2, i12, env, static) :|: 0 <= 0 && 0 <= i23 && 2 <= i12 && 0 < a6
main_LE_340(a6, iconst_0, iconst_0, iconst_2, i12, env, static) -{0,0}> main_LE_360(a6, iconst_0, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2
main_LE_340(a6, i34, 0, 2, i12, env, static) -{7,7}> main_Load_264(a6, 0, i51', 2, i12, env, static) :|: 0 < i34 && 0 <= 0 && 0 < a6 && 2 <= i12 && 1 <= i34 && 0 <= i34 && 0 <= i51' && i34 + -1 = i51'

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

Moved arithmethic from lhss to constraints.

random_InvokeMethod_213(o50, a6, i8, 2, i12, env, static) -{3,3}> main_Load_264(a6, i8, i23', 2, i12, env, static) :|: 0 < a6 && 0 <= i23' && 0 <= o50 && 0 <= i8 && 0 < o50 && 2 <= i12 && i23' <= o50
was transformed to
random_InvokeMethod_213(o50, a6, i8, x, i12, env, static) -{3,3}> main_Load_264(a6, i8, i23', 2, i12, env, static) :|: 0 < a6 && 0 <= i23' && 0 <= o50 && 0 <= i8 && 0 < o50 && 2 <= i12 && i23' <= o50 && x = 2

main_GT_301(a6, 0, i23, 2, i12, env, static) -{2,2}> main_LE_340(a6, i23, 0, 2, i12, env, static) :|: 0 <= 0 && 0 <= i23 && 2 <= i12 && 0 < a6
was transformed to
main_GT_301(a6, x, i23, x', i12, env, static) -{2,2}> main_LE_340(a6, i23, 0, 2, i12, env, static) :|: 0 <= 0 && 0 <= i23 && 2 <= i12 && 0 < a6 && x = 0 && x' = 2

random_ArrayAccess_143(a6, 1, i8, i12, env, static) -{7,7}> random_InvokeMethod_213(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_213(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_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

main_LE_340(a6, i34, 0, 2, i12, env, static) -{7,7}> main_Load_264(a6, 0, i51', 2, i12, env, static) :|: 0 < i34 && 0 <= 0 && 0 < a6 && 2 <= i12 && 1 <= i34 && 0 <= i34 && 0 <= i51' && i34 + -1 = i51'
was transformed to
main_LE_340(a6, i34, x, x', i12, env, static) -{7,7}> main_Load_264(a6, 0, i51', 2, i12, env, static) :|: 0 < i34 && 0 <= 0 && 0 < a6 && 2 <= i12 && 1 <= i34 && 0 <= i34 && 0 <= i51' && i34 + -1 = i51' && x = 0 && x' = 2

main_GT_301(a6, i30, i23, 2, i12, env, static) -{5,5}> main_Load_264(a6, i38', i23, 2, i12, env, static) :|: 0 < i30 && 0 <= i23 && 0 <= i30 && 2 <= i12 && 0 < a6 && 0 <= i38' && 1 <= i30 && i30 + -1 = i38'
was transformed to
main_GT_301(a6, i30, i23, x, i12, env, static) -{5,5}> main_Load_264(a6, i38', i23, 2, i12, env, static) :|: 0 < i30 && 0 <= i23 && 0 <= i30 && 2 <= i12 && 0 < a6 && 0 <= i38' && 1 <= i30 && i30 + -1 = i38' && x = 2

random_ArrayAccess_72(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_72(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

(38) Obligation:

IntTrs with 14 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_2(o2, env, static) -{23,23}> random_ArrayAccess_72(o2, 0, i5', env, static'3) :|: static'3 <= static'2 + o2 && 0 <= i5' && static'2 <= static'1 + 0 && 0 < o2 && 0 <= 2 && i5' < o2 && 0 <= o2 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && -1 * static'3 <= 0 && 0 <= static && 0 < 1 && 0 < 2 && 0 <= 1 && 0 <= static'3
random_InvokeMethod_213(o50, a6, i8, x, i12, env, static) -{3,3}> main_Load_264(a6, i8, i23', 2, i12, env, static) :|: 0 < a6 && 0 <= i23' && 0 <= o50 && 0 <= i8 && 0 < o50 && 2 <= i12 && i23' <= o50 && x = 2
random_InvokeMethod_213(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_222(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ArrayAccess_143(a6, iconst_1, i8, iconst_1, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8
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
main_GT_301(a6, x, i23, x', i12, env, static) -{2,2}> main_LE_340(a6, i23, 0, 2, i12, env, static) :|: 0 <= 0 && 0 <= i23 && 2 <= i12 && 0 < a6 && x = 0 && x' = 2
main_LE_340(a6, iconst_0, iconst_0, iconst_2, i12, env, static) -{0,0}> main_LE_360(a6, iconst_0, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_213(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_ArrayAccess_72(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_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_LE_340(a6, i34, x, x', i12, env, static) -{7,7}> main_Load_264(a6, 0, i51', 2, i12, env, static) :|: 0 < i34 && 0 <= 0 && 0 < a6 && 2 <= i12 && 1 <= i34 && 0 <= i34 && 0 <= i51' && i34 + -1 = i51' && x = 0 && x' = 2
main_GT_301(a6, i30, i23, x, i12, env, static) -{5,5}> main_Load_264(a6, i38', i23, 2, i12, env, static) :|: 0 < i30 && 0 <= i23 && 0 <= i30 && 2 <= i12 && 0 < a6 && 0 <= i38' && 1 <= i30 && i30 + -1 = i38' && x = 2
main_Load_264(a6, i8, i23, iconst_2, i12, env, static) -{1,1}> main_GT_301(a6, i8, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i23
random_ArrayAccess_72(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

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

Linearized lhss.

random_ArrayAccess_143(a6, iconst_1, i8, iconst_1, env, static) -{0,0}> random_ArrayAccess_146(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_146(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && x = iconst_1

main_LE_340(a6, iconst_0, iconst_0, iconst_2, i12, env, static) -{0,0}> main_LE_360(a6, iconst_0, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2
was transformed to
main_LE_340(a6, iconst_0, x, iconst_2, i12, env, static) -{0,0}> main_LE_360(a6, iconst_0, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2 && x = iconst_0

random_ArrayAccess_72(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_72(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

(40) Obligation:

IntTrs with 14 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_2(o2, env, static) -{23,23}> random_ArrayAccess_72(o2, 0, i5', env, static'3) :|: static'3 <= static'2 + o2 && 0 <= i5' && static'2 <= static'1 + 0 && 0 < o2 && 0 <= 2 && i5' < o2 && 0 <= o2 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && -1 * static'3 <= 0 && 0 <= static && 0 < 1 && 0 < 2 && 0 <= 1 && 0 <= static'3
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_213(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_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_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, iconst_1, i8, x, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && x = iconst_1
random_InvokeMethod_213(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_222(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_GT_301(a6, i30, i23, x, i12, env, static) -{5,5}> main_Load_264(a6, i38', i23, 2, i12, env, static) :|: 0 < i30 && 0 <= i23 && 0 <= i30 && 2 <= i12 && 0 < a6 && 0 <= i38' && 1 <= i30 && i30 + -1 = i38' && x = 2
main_LE_340(a6, i34, x, x', i12, env, static) -{7,7}> main_Load_264(a6, 0, i51', 2, i12, env, static) :|: 0 < i34 && 0 <= 0 && 0 < a6 && 2 <= i12 && 1 <= i34 && 0 <= i34 && 0 <= i51' && i34 + -1 = i51' && x = 0 && x' = 2
main_LE_340(a6, iconst_0, x, iconst_2, i12, env, static) -{0,0}> main_LE_360(a6, iconst_0, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2 && x = iconst_0
random_ArrayAccess_72(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_213(o50, a6, i8, x, i12, env, static) -{3,3}> main_Load_264(a6, i8, i23', 2, i12, env, static) :|: 0 < a6 && 0 <= i23' && 0 <= o50 && 0 <= i8 && 0 < o50 && 2 <= i12 && i23' <= o50 && x = 2
random_ArrayAccess_72(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_264(a6, i8, i23, iconst_2, i12, env, static) -{1,1}> main_GT_301(a6, i8, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i23
main_GT_301(a6, x, i23, x', i12, env, static) -{2,2}> main_LE_340(a6, i23, 0, 2, i12, env, static) :|: 0 <= 0 && 0 <= i23 && 2 <= i12 && 0 < a6 && x = 0 && x' = 2

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

Moved arithmethic from constraints to rhss.

random_ArrayAccess_143(a6, iconst_1, i8, x, env, static) -{0,0}> random_ArrayAccess_146(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_146(a6, 1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && x = iconst_1

random_InvokeMethod_213(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_222(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_213(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_222(0, a6, i8, 2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2

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

main_GT_301(a6, i30, i23, x, i12, env, static) -{5,5}> main_Load_264(a6, i38', i23, 2, i12, env, static) :|: 0 < i30 && 0 <= i23 && 0 <= i30 && 2 <= i12 && 0 < a6 && 0 <= i38' && 1 <= i30 && i30 + -1 = i38' && x = 2
was transformed to
main_GT_301(a6, i30, i23, x, i12, env, static) -{5,5}> main_Load_264(a6, i30 + -1, i23, 2, i12, env, static) :|: 0 < i30 && 0 <= i23 && 0 <= i30 && 2 <= i12 && 0 < a6 && 0 <= i38' && 1 <= i30 && i30 + -1 = i38' && x = 2

main_LE_340(a6, i34, x, x', i12, env, static) -{7,7}> main_Load_264(a6, 0, i51', 2, i12, env, static) :|: 0 < i34 && 0 <= 0 && 0 < a6 && 2 <= i12 && 1 <= i34 && 0 <= i34 && 0 <= i51' && i34 + -1 = i51' && x = 0 && x' = 2
was transformed to
main_LE_340(a6, i34, x, x', i12, env, static) -{7,7}> main_Load_264(a6, 0, i34 + -1, 2, i12, env, static) :|: 0 < i34 && 0 <= 0 && 0 < a6 && 2 <= i12 && 1 <= i34 && 0 <= i34 && 0 <= i51' && i34 + -1 = i51' && x = 0 && x' = 2

random_ArrayAccess_72(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_72(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_Load_264(a6, i8, i23, iconst_2, i12, env, static) -{1,1}> main_GT_301(a6, i8, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i23
was transformed to
main_Load_264(a6, i8, i23, iconst_2, i12, env, static) -{1,1}> main_GT_301(a6, i8, i23, 2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i23

main_LE_340(a6, iconst_0, x, iconst_2, i12, env, static) -{0,0}> main_LE_360(a6, iconst_0, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2 && x = iconst_0
was transformed to
main_LE_340(a6, iconst_0, x, iconst_2, i12, env, static) -{0,0}> main_LE_360(a6, 0, 2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2 && x = iconst_0

(42) Obligation:

IntTrs with 14 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_2(o2, env, static) -{23,23}> random_ArrayAccess_72(o2, 0, i5', env, static'3) :|: static'3 <= static'2 + o2 && 0 <= i5' && static'2 <= static'1 + 0 && 0 < o2 && 0 <= 2 && i5' < o2 && 0 <= o2 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && -1 * static'3 <= 0 && 0 <= static && 0 < 1 && 0 < 2 && 0 <= 1 && 0 <= static'3
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_213(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_ArrayAccess_143(a6, iconst_1, i8, x, env, static) -{0,0}> random_ArrayAccess_146(a6, 1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && x = iconst_1
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_213(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_222(0, a6, i8, 2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
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_GT_301(a6, i30, i23, x, i12, env, static) -{5,5}> main_Load_264(a6, i30 + -1, i23, 2, i12, env, static) :|: 0 < i30 && 0 <= i23 && 0 <= i30 && 2 <= i12 && 0 < a6 && 0 <= i38' && 1 <= i30 && i30 + -1 = i38' && x = 2
main_LE_340(a6, i34, x, x', i12, env, static) -{7,7}> main_Load_264(a6, 0, i34 + -1, 2, i12, env, static) :|: 0 < i34 && 0 <= 0 && 0 < a6 && 2 <= i12 && 1 <= i34 && 0 <= i34 && 0 <= i51' && i34 + -1 = i51' && x = 0 && x' = 2
random_InvokeMethod_213(o50, a6, i8, x, i12, env, static) -{3,3}> main_Load_264(a6, i8, i23', 2, i12, env, static) :|: 0 < a6 && 0 <= i23' && 0 <= o50 && 0 <= i8 && 0 < o50 && 2 <= i12 && i23' <= o50 && x = 2
random_ArrayAccess_72(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_ArrayAccess_72(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_GT_301(a6, x, i23, x', i12, env, static) -{2,2}> main_LE_340(a6, i23, 0, 2, i12, env, static) :|: 0 <= 0 && 0 <= i23 && 2 <= i12 && 0 < a6 && x = 0 && x' = 2
main_Load_264(a6, i8, i23, iconst_2, i12, env, static) -{1,1}> main_GT_301(a6, i8, i23, 2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i23
main_LE_340(a6, iconst_0, x, iconst_2, i12, env, static) -{0,0}> main_LE_360(a6, 0, 2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2 && x = iconst_0

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

Simplified expressions.

main_Load_2(o2, env, static) -{23,23}> random_ArrayAccess_72(o2, 0, i5', env, static'3) :|: static'3 <= static'2 + o2 && 0 <= i5' && static'2 <= static'1 + 0 && 0 < o2 && 0 <= 2 && i5' < o2 && 0 <= o2 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && -1 * static'3 <= 0 && 0 <= static && 0 < 1 && 0 < 2 && 0 <= 1 && 0 <= static'3
was transformed to
main_Load_2(o2, env, static) -{23,23}> random_ArrayAccess_72(o2, 0, i5', env, static'3) :|: static'3 <= static'2 + o2 && 0 <= i5' && static'2 <= static'1 && 0 < o2 && i5' < o2 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && -1 * static'3 <= 0 && 0 <= static && 0 <= static'3

main_LE_340(a6, i34, x, x', i12, env, static) -{7,7}> main_Load_264(a6, 0, i34 + -1, 2, i12, env, static) :|: 0 < i34 && 0 <= 0 && 0 < a6 && 2 <= i12 && 1 <= i34 && 0 <= i34 && 0 <= i51' && i34 + -1 = i51' && x = 0 && x' = 2
was transformed to
main_LE_340(a6, i34, x, x', i12, env, static) -{7,7}> main_Load_264(a6, 0, i34 - 1, 2, i12, env, static) :|: 0 < i34 && 0 < a6 && 2 <= i12 && 1 <= i34 && 0 <= i51' && i34 - 1 = i51' && x = 0 && x' = 2

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

main_GT_301(a6, i30, i23, x, i12, env, static) -{5,5}> main_Load_264(a6, i30 + -1, i23, 2, i12, env, static) :|: 0 < i30 && 0 <= i23 && 0 <= i30 && 2 <= i12 && 0 < a6 && 0 <= i38' && 1 <= i30 && i30 + -1 = i38' && x = 2
was transformed to
main_GT_301(a6, i30, i23, x, i12, env, static) -{5,5}> main_Load_264(a6, i30 - 1, i23, 2, i12, env, static) :|: 0 < i30 && 0 <= i23 && 2 <= i12 && 0 < a6 && 0 <= i38' && 1 <= i30 && i30 - 1 = i38' && x = 2

random_InvokeMethod_213(o50, a6, i8, x, i12, env, static) -{3,3}> main_Load_264(a6, i8, i23', 2, i12, env, static) :|: 0 < a6 && 0 <= i23' && 0 <= o50 && 0 <= i8 && 0 < o50 && 2 <= i12 && i23' <= o50 && x = 2
was transformed to
random_InvokeMethod_213(o50, a6, i8, x, i12, env, static) -{3,3}> main_Load_264(a6, i8, i23', 2, i12, env, static) :|: 0 < a6 && 0 <= i23' && 0 <= i8 && 0 < o50 && 2 <= i12 && i23' <= o50 && x = 2

main_GT_301(a6, x, i23, x', i12, env, static) -{2,2}> main_LE_340(a6, i23, 0, 2, i12, env, static) :|: 0 <= 0 && 0 <= i23 && 2 <= i12 && 0 < a6 && x = 0 && x' = 2
was transformed to
main_GT_301(a6, x, i23, x', i12, env, static) -{2,2}> main_LE_340(a6, i23, 0, 2, i12, env, static) :|: 0 <= i23 && 2 <= i12 && 0 < a6 && x = 0 && x' = 2

(44) Obligation:

IntTrs with 14 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
random_ArrayAccess_72(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_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_213(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_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
main_LE_340(a6, i34, x, x', i12, env, static) -{7,7}> main_Load_264(a6, 0, i34 - 1, 2, i12, env, static) :|: 0 < i34 && 0 < a6 && 2 <= i12 && 1 <= i34 && 0 <= i51' && i34 - 1 = i51' && x = 0 && x' = 2
random_InvokeMethod_213(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_222(0, a6, i8, 2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Load_2(o2, env, static) -{23,23}> random_ArrayAccess_72(o2, 0, i5', env, static'3) :|: static'3 <= static'2 + o2 && 0 <= i5' && static'2 <= static'1 && 0 < o2 && i5' < o2 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && -1 * static'3 <= 0 && 0 <= static && 0 <= static'3
main_GT_301(a6, i30, i23, x, i12, env, static) -{5,5}> main_Load_264(a6, i30 - 1, i23, 2, i12, env, static) :|: 0 < i30 && 0 <= i23 && 2 <= i12 && 0 < a6 && 0 <= i38' && 1 <= i30 && i30 - 1 = i38' && x = 2
main_GT_301(a6, x, i23, x', i12, env, static) -{2,2}> main_LE_340(a6, i23, 0, 2, i12, env, static) :|: 0 <= i23 && 2 <= i12 && 0 < a6 && x = 0 && x' = 2
random_InvokeMethod_213(o50, a6, i8, x, i12, env, static) -{3,3}> main_Load_264(a6, i8, i23', 2, i12, env, static) :|: 0 < a6 && 0 <= i23' && 0 <= i8 && 0 < o50 && 2 <= i12 && i23' <= o50 && x = 2
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_ArrayAccess_143(a6, iconst_1, i8, x, env, static) -{0,0}> random_ArrayAccess_146(a6, 1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && x = iconst_1
random_ArrayAccess_72(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_LE_340(a6, iconst_0, x, iconst_2, i12, env, static) -{0,0}> main_LE_360(a6, 0, 2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2 && x = iconst_0
main_Load_264(a6, i8, i23, iconst_2, i12, env, static) -{1,1}> main_GT_301(a6, i8, i23, 2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i23