The time complexity of the given JBC problem could be proven to be BOUNDS(CONSTANT, 138 + 22 * |args|).

(0) Obligation:

Need to prove time_complexity of the following program:

public class CountUpRound{
  public static int round (int x) {

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


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



    while (x > y) {

      y = round(y+1);

    }


  }

}


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:
CountUpRound.main([Ljava/lang/String;)V: Graph of 186 nodes with 1 SCC.

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

Extracted set of 93 edges for the analysis of TIME complexity. Kept leaves.

(4) Obligation:

Set of 93 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

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

Transformed 93 jbc graph edges to a weighted ITS with 93 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.

(6) Obligation:

IntTrs with 93 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_1(o1, env, static) -{0,0}> main_Load_3(o1, env, static) :|: 0 < o1
main_Load_3(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_6(o1, env, static) :|: 0 < o1
langle_clinit_rangle_ConstantStackPush_6(o1, env, static) -{1,1}> langle_clinit_rangle_ArrayCreate_12(iconst_0, o1, env, static) :|: iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ArrayCreate_12(iconst_0, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_15(a2, o1, iconst_0, env, static) :|: a2 = 2 && iconst_0 = 0 && 0 < a2 && 0 < o1
langle_clinit_rangle_FieldAccess_15(a2, o1, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_17(o1, env, static') :|: 0 <= a2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2 && 0 < o1
langle_clinit_rangle_New_17(o1, env, static) -{0,0}> langle_clinit_rangle_New_18(o1, env, static) :|: 0 < o1
langle_clinit_rangle_New_18(o1, env, static) -{0,0}> langle_clinit_rangle_New_19(o1, env, static) :|: 0 <= static && 0 < o1
langle_clinit_rangle_New_19(o1, env, static) -{1,1}> langle_clinit_rangle_Duplicate_21(o4, o1, env, static) :|: o4 = 1 && 0 < o4 && 0 < o1
langle_clinit_rangle_Duplicate_21(o4, o1, env, static) -{1,1}> langle_clinit_rangle_ConstantStackPush_22(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_ConstantStackPush_22(o4, o1, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_24(o4, NULL, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_clinit_rangle_InvokeMethod_24(o4, NULL, o1, env, static) -{1,1}> langle_init_rangle_Load_25(o4, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_init_rangle_Load_25(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_28(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_28(o4, o1, env, static) -{1,1}> langle_init_rangle_Load_29(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Load_29(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_31(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_31(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_34(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_34(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_36(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_36(o4, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_39(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_FieldAccess_39(o4, o1, env, static) -{1,1}> langle_clinit_rangle_Return_40(o1, env, static') :|: 0 <= o4 && 0 < o4 && 0 <= static && 0 < o1 && static' <= static + o4
langle_clinit_rangle_Return_40(o1, env, static) -{1,1}> main_Load_46(o1, env, static) :|: 0 < o1
main_Load_46(o1, env, static) -{0,0}> main_Load_48(o1, env, static) :|: 0 < o1
main_Load_48(o1, env, static) -{0,0}> main_Load_51(o1, env, static) :|: 0 <= static && 0 < o1
main_Load_51(o1, env, static) -{0,0}> main_Load_53(o1, env, static) :|: 0 < o1
main_Load_53(o1, env, static) -{0,0}> main_Load_54(o1, env, static) :|: 0 < o1
main_Load_54(o1, env, static) -{1,1}> main_FieldAccess_57(o1, env, static) :|: 0 < o1
main_FieldAccess_57(o1, env, static) -{0,0}> main_FieldAccess_58(o1, env, static) :|: 0 < o1
main_FieldAccess_58(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_60(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ConstantStackPush_60(o1, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_62(iconst_0, o1, NULL, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_FieldAccess_62(iconst_0, o1, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_63(o1, NULL, iconst_0, env, static') :|: NULL = 0 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0 && 0 < o1
langle_clinit_rangle_Return_63(o1, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_64(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
main_FieldAccess_64(o1, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_65(o1, iconst_0, env, static') :|: static' <= static + o1 && NULL = 0 && 0 <= o1 && iconst_0 = 0 && 0 <= static && 0 < o1
main_InvokeMethod_65(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_66(o1, iconst_0, env, static) :|: iconst_0 = 0 && 0 < o1
random_FieldAccess_66(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_67(o1, iconst_0, env, static) :|: 0 <= o1 && o1 <= static && iconst_0 = 0 && 0 <= static && 0 < o1
random_FieldAccess_67(o1, iconst_0, env, static) -{1,1}> random_ArrayAccess_69(o1, iconst_0, env, static) :|: -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static && 0 < o1
random_ArrayAccess_69(a6, iconst_0, env, static) -{0,0}> random_ArrayAccess_70(a6, iconst_0, i4, env, static) :|: 0 <= i4 && iconst_0 = 0 && 0 < a6 && i4 < a6
random_ArrayAccess_70(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_71(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_70(a6, iconst_0, i6, env, static) -{0,0}> random_ArrayAccess_73(a6, iconst_0, i6, env, static) :|: 0 <= i6 && 1 <= i6 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_73(a6, iconst_0, i6, env, static) -{1,1}> random_Store_78(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && o8 < a6 && iconst_0 = 0 && 0 < a6
random_Store_78(o8, a6, iconst_0, i6, env, static) -{1,1}> random_FieldAccess_81(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_0 = 0 && 0 < a6
random_FieldAccess_81(o8, a6, iconst_0, i6, env, static) -{1,1}> random_ConstantStackPush_86(iconst_0, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && 0 < a6 && iconst_0 <= static
random_ConstantStackPush_86(iconst_0, o8, a6, i6, env, static) -{1,1}> random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i6, env, static) -{1,1}> random_FieldAccess_91(iconst_1, o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_FieldAccess_91(iconst_1, o8, a6, iconst_0, i6, env, static) -{1,1}> random_Load_95(o8, a6, iconst_1, i6, env, static') :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 <= static && 0 < a6 && static' <= static + iconst_1
random_Load_95(o8, a6, iconst_1, i6, env, static) -{1,1}> random_InvokeMethod_100(o8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && 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_108(i8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && i8 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_Return_108(i8, a6, iconst_1, i6, env, static) -{1,1}> main_Store_114(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_Store_114(a6, i8, iconst_1, i6, env, static) -{1,1}> main_InvokeMethod_119(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_InvokeMethod_119(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_123(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_FieldAccess_123(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_138(a6, i8, iconst_1, i6, env, static) :|: 0 <= a6 && 1 <= i6 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8
random_FieldAccess_138(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_154(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_FieldAccess_154(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_ConstantStackPush_164(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_164(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_IntArithmetic_168(iconst_1, o25, a6, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_IntArithmetic_168(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_FieldAccess_170(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_170(iconst_2, o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_Load_181(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_181(o25, a6, i8, iconst_2, i12, env, static) -{1,1}> random_InvokeMethod_197(o25, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2
random_InvokeMethod_197(o50, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_206(o50, a6, i8, iconst_2, i12, env, static) :|: 0 < o50 && 2 <= i12 && 0 <= o50 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_197(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_207(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_206(o50, a6, i8, iconst_2, i12, env, static) -{1,1}> random_Return_215(i20, a6, i8, iconst_2, i12, env, static) :|: 0 <= i20 && 0 < o50 && 2 <= i12 && 0 < a6 && 0 <= i8 && i20 <= o50 && iconst_2 = 2
random_Return_215(i20, a6, i8, iconst_2, i12, env, static) -{1,1}> main_Store_220(a6, i20, i8, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Store_220(a6, i20, i8, iconst_2, i12, env, static) -{1,1}> main_Load_231(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Load_231(a6, i8, i20, iconst_2, i12, env, static) -{1,1}> main_Load_237(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Load_237(a6, i8, i20, iconst_2, i12, env, static) -{1,1}> main_LE_242(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_LE_242(a6, i8, i20, iconst_2, i12, env, static) -{0,0}> main_LE_246(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && i8 <= i20 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_LE_242(a6, i8, i20, iconst_2, i12, env, static) -{0,0}> main_LE_248(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && i20 < i8 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_LE_248(a6, i8, i20, iconst_2, i12, env, static) -{1,1}> main_Load_256(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && i20 < i8 && 1 <= i8 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Load_256(a6, i8, i20, iconst_2, i12, env, static) -{1,1}> main_ConstantStackPush_271(a6, i20, i8, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 1 <= i8 && 0 < a6 && iconst_2 = 2
main_ConstantStackPush_271(a6, i20, i8, iconst_2, i12, env, static) -{1,1}> main_IntArithmetic_276(a6, i20, iconst_1, i8, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 1 <= i8 && iconst_1 = 1 && 0 < a6 && iconst_2 = 2
main_IntArithmetic_276(a6, i20, iconst_1, i8, iconst_2, i12, env, static) -{1,1}> main_InvokeMethod_282(a6, i22, i8, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 1 <= i8 && iconst_1 = 1 && 0 < a6 && 1 <= i22 && iconst_2 = 2 && i20 + iconst_1 = i22
main_InvokeMethod_282(a6, i22, i8, iconst_2, i12, env, static) -{1,1}> round_Load_294(i22, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i8 && 0 < a6 && 1 <= i22 && iconst_2 = 2
round_Load_294(i22, a6, i8, iconst_2, i12, env, static) -{1,1}> round_ConstantStackPush_307(i22, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i8 && 0 < a6 && 1 <= i22 && iconst_2 = 2
round_ConstantStackPush_307(i22, a6, i8, iconst_2, i12, env, static) -{1,1}> round_IntArithmetic_314(i22, iconst_2, a6, i8, i12, env, static) :|: 2 <= i12 && 1 <= i8 && 0 < a6 && 1 <= i22 && iconst_2 = 2
round_IntArithmetic_314(i22, iconst_2, a6, i8, i12, env, static) -{1,1}> round_NE_324(i24, i22, a6, i8, iconst_2, i12, env, static) :|: 0 <= i24 && 2 <= i12 && i24 <= 1 && 1 <= i8 && 0 < a6 && i22 % iconst_2 = i24 && 1 <= i22 && iconst_2 = 2
round_NE_324(iconst_1, i22, a6, i8, iconst_2, i12, env, static) -{0,0}> round_NE_332(iconst_1, i22, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && iconst_1 <= 1 && 0 <= iconst_1 && 1 <= i8 && iconst_1 = 1 && 0 < a6 && 1 <= i22 && iconst_2 = 2
round_NE_324(iconst_0, i22, a6, i8, iconst_2, i12, env, static) -{0,0}> round_NE_333(iconst_0, i22, a6, i8, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && 1 <= i8 && iconst_0 <= 1 && iconst_0 = 0 && 0 < a6 && 1 <= i22 && iconst_2 = 2
round_NE_332(iconst_1, i22, a6, i8, iconst_2, i12, env, static) -{1,1}> round_Load_347(i22, a6, i8, iconst_2, i12, env, static) :|: 0 < iconst_1 && 2 <= i12 && 1 <= i8 && iconst_1 = 1 && 0 < a6 && 1 <= i22 && iconst_2 = 2
round_NE_333(iconst_0, i22, a6, i8, iconst_2, i12, env, static) -{1,1}> round_Load_351(i22, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i8 && iconst_0 = 0 && 0 < a6 && 1 <= i22 && iconst_2 = 2
round_Load_347(i22, a6, i8, iconst_2, i12, env, static) -{1,1}> round_ConstantStackPush_358(i22, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i8 && 0 < a6 && 1 <= i22 && iconst_2 = 2
round_Load_351(i22, a6, i8, iconst_2, i12, env, static) -{1,1}> round_Return_359(i22, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i8 && 0 < a6 && 1 <= i22 && iconst_2 = 2
round_ConstantStackPush_358(i22, a6, i8, iconst_2, i12, env, static) -{1,1}> round_IntArithmetic_365(i22, iconst_1, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i8 && iconst_1 = 1 && 0 < a6 && 1 <= i22 && iconst_2 = 2
round_Return_359(i22, a6, i8, iconst_2, i12, env, static) -{1,1}> main_Store_367(a6, i22, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i8 && 0 < a6 && 1 <= i22 && iconst_2 = 2
round_IntArithmetic_365(i22, iconst_1, a6, i8, iconst_2, i12, env, static) -{1,1}> round_Return_372(i26, a6, i8, iconst_2, i12, env, static) :|: i22 + iconst_1 = i26 && 2 <= i26 && 2 <= i12 && 1 <= i8 && iconst_1 = 1 && 0 < a6 && 1 <= i22 && iconst_2 = 2
main_Store_367(a6, i22, i8, iconst_2, i12, env, static) -{1,1}> main_JMP_373(a6, i8, i22, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i8 && 0 < a6 && 1 <= i22 && iconst_2 = 2
round_Return_372(i26, a6, i8, iconst_2, i12, env, static) -{1,1}> main_Store_383(a6, i26, i8, iconst_2, i12, env, static) :|: 2 <= i26 && 2 <= i12 && 1 <= i8 && 0 < a6 && iconst_2 = 2
main_JMP_373(a6, i8, i22, iconst_2, i12, env, static) -{0,0}> main_JMP_425(a6, i8, i22, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i8 && 0 < a6 && 1 <= i22 && iconst_2 = 2
main_Store_383(a6, i26, i8, iconst_2, i12, env, static) -{1,1}> main_JMP_424(a6, i8, i26, iconst_2, i12, env, static) :|: 2 <= i26 && 2 <= i12 && 1 <= i8 && 0 < a6 && iconst_2 = 2
main_JMP_424(a6, i8, i26, iconst_2, i12, env, static) -{0,0}> main_JMP_425(a6, i8, i26, iconst_2, i12, env, static) :|: 2 <= i26 && 2 <= i12 && 1 <= i26 && 1 <= i8 && 0 < a6 && iconst_2 = 2
main_JMP_425(a111, i8, i34, iconst_2, i12, env, static) -{1,1}> main_Load_428(a111, i8, i34, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i8 && 1 <= i34 && iconst_2 = 2 && 0 < a111
main_Load_428(a111, i8, i34, iconst_2, i12, env, static) -{0,0}> main_Load_231(a111, i8, i34, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i8 && 1 <= i34 && 0 <= i8 && 0 <= i34 && iconst_2 = 2 && 0 < a111

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

obtained
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 <= 2 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
by chaining
main_Load_1(o1, env, static) -{0,0}> main_Load_3(o1, env, static) :|: 0 < o1
main_Load_3(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_6(o1, env, static) :|: 0 < o1
langle_clinit_rangle_ConstantStackPush_6(o1, env, static) -{1,1}> langle_clinit_rangle_ArrayCreate_12(iconst_0, o1, env, static) :|: iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ArrayCreate_12(iconst_0, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_15(a2, o1, iconst_0, env, static) :|: a2 = 2 && iconst_0 = 0 && 0 < a2 && 0 < o1
langle_clinit_rangle_FieldAccess_15(a2, o1, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_17(o1, env, static') :|: 0 <= a2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2 && 0 < o1
langle_clinit_rangle_New_17(o1, env, static) -{0,0}> langle_clinit_rangle_New_18(o1, env, static) :|: 0 < o1
langle_clinit_rangle_New_18(o1, env, static) -{0,0}> langle_clinit_rangle_New_19(o1, env, static) :|: 0 <= static && 0 < o1
langle_clinit_rangle_New_19(o1, env, static) -{1,1}> langle_clinit_rangle_Duplicate_21(o4, o1, env, static) :|: o4 = 1 && 0 < o4 && 0 < o1
langle_clinit_rangle_Duplicate_21(o4, o1, env, static) -{1,1}> langle_clinit_rangle_ConstantStackPush_22(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_ConstantStackPush_22(o4, o1, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_24(o4, NULL, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_clinit_rangle_InvokeMethod_24(o4, NULL, o1, env, static) -{1,1}> langle_init_rangle_Load_25(o4, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_init_rangle_Load_25(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_28(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_28(o4, o1, env, static) -{1,1}> langle_init_rangle_Load_29(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Load_29(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_31(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_31(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_34(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_34(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_36(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_36(o4, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_39(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_FieldAccess_39(o4, o1, env, static) -{1,1}> langle_clinit_rangle_Return_40(o1, env, static') :|: 0 <= o4 && 0 < o4 && 0 <= static && 0 < o1 && static' <= static + o4
langle_clinit_rangle_Return_40(o1, env, static) -{1,1}> main_Load_46(o1, env, static) :|: 0 < o1
main_Load_46(o1, env, static) -{0,0}> main_Load_48(o1, env, static) :|: 0 < o1
main_Load_48(o1, env, static) -{0,0}> main_Load_51(o1, env, static) :|: 0 <= static && 0 < o1
main_Load_51(o1, env, static) -{0,0}> main_Load_53(o1, env, static) :|: 0 < o1
main_Load_53(o1, env, static) -{0,0}> main_Load_54(o1, env, static) :|: 0 < o1
main_Load_54(o1, env, static) -{1,1}> main_FieldAccess_57(o1, env, static) :|: 0 < o1
main_FieldAccess_57(o1, env, static) -{0,0}> main_FieldAccess_58(o1, env, static) :|: 0 < o1
main_FieldAccess_58(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_60(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ConstantStackPush_60(o1, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_62(iconst_0, o1, NULL, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_FieldAccess_62(iconst_0, o1, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_63(o1, NULL, iconst_0, env, static') :|: NULL = 0 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0 && 0 < o1
langle_clinit_rangle_Return_63(o1, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_64(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
main_FieldAccess_64(o1, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_65(o1, iconst_0, env, static') :|: static' <= static + o1 && NULL = 0 && 0 <= o1 && iconst_0 = 0 && 0 <= static && 0 < o1
main_InvokeMethod_65(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_66(o1, iconst_0, env, static) :|: iconst_0 = 0 && 0 < o1
random_FieldAccess_66(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_67(o1, iconst_0, env, static) :|: 0 <= o1 && o1 <= static && iconst_0 = 0 && 0 <= static && 0 < o1
random_FieldAccess_67(o1, iconst_0, env, static) -{1,1}> random_ArrayAccess_69(o1, iconst_0, env, static) :|: -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static && 0 < o1
random_ArrayAccess_69(a6, iconst_0, env, static) -{0,0}> random_ArrayAccess_70(a6, iconst_0, i4, env, static) :|: 0 <= i4 && iconst_0 = 0 && 0 < a6 && i4 < a6

obtained
random_ArrayAccess_70(a6, 0, i6, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1
by chaining
random_ArrayAccess_70(a6, iconst_0, i6, env, static) -{0,0}> random_ArrayAccess_73(a6, iconst_0, i6, env, static) :|: 0 <= i6 && 1 <= i6 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_73(a6, iconst_0, i6, env, static) -{1,1}> random_Store_78(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && o8 < a6 && iconst_0 = 0 && 0 < a6
random_Store_78(o8, a6, iconst_0, i6, env, static) -{1,1}> random_FieldAccess_81(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_0 = 0 && 0 < a6
random_FieldAccess_81(o8, a6, iconst_0, i6, env, static) -{1,1}> random_ConstantStackPush_86(iconst_0, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && 0 < a6 && iconst_0 <= static
random_ConstantStackPush_86(iconst_0, o8, a6, i6, env, static) -{1,1}> random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i6, env, static) -{1,1}> random_FieldAccess_91(iconst_1, o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_FieldAccess_91(iconst_1, o8, a6, iconst_0, i6, env, static) -{1,1}> random_Load_95(o8, a6, iconst_1, i6, env, static') :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 <= static && 0 < a6 && static' <= static + iconst_1
random_Load_95(o8, a6, iconst_1, i6, env, static) -{1,1}> random_InvokeMethod_100(o8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && 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_108(i8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && i8 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_Return_108(i8, a6, iconst_1, i6, env, static) -{1,1}> main_Store_114(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_Store_114(a6, i8, iconst_1, i6, env, static) -{1,1}> main_InvokeMethod_119(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_InvokeMethod_119(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_123(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_FieldAccess_123(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_138(a6, i8, iconst_1, i6, env, static) :|: 0 <= a6 && 1 <= i6 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8
random_FieldAccess_138(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_197(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_154(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_FieldAccess_154(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_ConstantStackPush_164(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_164(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_IntArithmetic_168(iconst_1, o25, a6, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_IntArithmetic_168(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_FieldAccess_170(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_170(iconst_2, o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_Load_181(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_181(o25, a6, i8, iconst_2, i12, env, static) -{1,1}> random_InvokeMethod_197(o25, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2

obtained
random_InvokeMethod_197(o50, a6, i8, 2, i12, env, static) -{3,3}> main_Load_231(a6, i8, i20', 2, i12, env, static) :|: i20' <= o50 && 0 <= o50 && 0 <= i8 && 0 < a6 && 0 < o50 && 0 <= i20' && 2 <= i12
by chaining
random_InvokeMethod_197(o50, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_206(o50, a6, i8, iconst_2, i12, env, static) :|: 0 < o50 && 2 <= i12 && 0 <= o50 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_206(o50, a6, i8, iconst_2, i12, env, static) -{1,1}> random_Return_215(i20, a6, i8, iconst_2, i12, env, static) :|: 0 <= i20 && 0 < o50 && 2 <= i12 && 0 < a6 && 0 <= i8 && i20 <= o50 && iconst_2 = 2
random_Return_215(i20, a6, i8, iconst_2, i12, env, static) -{1,1}> main_Store_220(a6, i20, i8, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Store_220(a6, i20, i8, iconst_2, i12, env, static) -{1,1}> main_Load_231(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2

obtained
main_Load_231(a6, i8, i20, 2, i12, env, static) -{2,2}> main_LE_242(a6, i8, i20, 2, i12, env, static) :|: 0 <= i8 && 0 < a6 && 0 <= i20 && 2 <= i12
by chaining
main_Load_231(a6, i8, i20, iconst_2, i12, env, static) -{1,1}> main_Load_237(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Load_237(a6, i8, i20, iconst_2, i12, env, static) -{1,1}> main_LE_242(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2

obtained
main_LE_242(a6, i8, i20, 2, i12, env, static) -{8,8}> round_NE_324(i24', i22', a6, i8, 2, i12, env, static) :|: 0 <= i20 && i20 + 1 = i22' && 1 <= i22' && 1 <= i8 && i22' % 2 = i24' && 0 < a6 && 2 <= i12 && i24' <= 1 && 0 <= i8 && i20 < i8 && 0 <= i24'
by chaining
main_LE_242(a6, i8, i20, iconst_2, i12, env, static) -{0,0}> main_LE_248(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && i20 < i8 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_LE_248(a6, i8, i20, iconst_2, i12, env, static) -{1,1}> main_Load_256(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && i20 < i8 && 1 <= i8 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Load_256(a6, i8, i20, iconst_2, i12, env, static) -{1,1}> main_ConstantStackPush_271(a6, i20, i8, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 1 <= i8 && 0 < a6 && iconst_2 = 2
main_ConstantStackPush_271(a6, i20, i8, iconst_2, i12, env, static) -{1,1}> main_IntArithmetic_276(a6, i20, iconst_1, i8, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 1 <= i8 && iconst_1 = 1 && 0 < a6 && iconst_2 = 2
main_IntArithmetic_276(a6, i20, iconst_1, i8, iconst_2, i12, env, static) -{1,1}> main_InvokeMethod_282(a6, i22, i8, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 1 <= i8 && iconst_1 = 1 && 0 < a6 && 1 <= i22 && iconst_2 = 2 && i20 + iconst_1 = i22
main_InvokeMethod_282(a6, i22, i8, iconst_2, i12, env, static) -{1,1}> round_Load_294(i22, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i8 && 0 < a6 && 1 <= i22 && iconst_2 = 2
round_Load_294(i22, a6, i8, iconst_2, i12, env, static) -{1,1}> round_ConstantStackPush_307(i22, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i8 && 0 < a6 && 1 <= i22 && iconst_2 = 2
round_ConstantStackPush_307(i22, a6, i8, iconst_2, i12, env, static) -{1,1}> round_IntArithmetic_314(i22, iconst_2, a6, i8, i12, env, static) :|: 2 <= i12 && 1 <= i8 && 0 < a6 && 1 <= i22 && iconst_2 = 2
round_IntArithmetic_314(i22, iconst_2, a6, i8, i12, env, static) -{1,1}> round_NE_324(i24, i22, a6, i8, iconst_2, i12, env, static) :|: 0 <= i24 && 2 <= i12 && i24 <= 1 && 1 <= i8 && 0 < a6 && i22 % iconst_2 = i24 && 1 <= i22 && iconst_2 = 2

obtained
round_NE_324(0, i22, a6, i8, 2, i12, env, static) -{4,4}> main_JMP_425(a6, i8, i22, 2, i12, env, static) :|: 0 <= 1 && 0 < a6 && 1 <= i22 && 2 <= i12 && 1 <= i8 && 0 <= 0
by chaining
round_NE_324(iconst_0, i22, a6, i8, iconst_2, i12, env, static) -{0,0}> round_NE_333(iconst_0, i22, a6, i8, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && 1 <= i8 && iconst_0 <= 1 && iconst_0 = 0 && 0 < a6 && 1 <= i22 && iconst_2 = 2
round_NE_333(iconst_0, i22, a6, i8, iconst_2, i12, env, static) -{1,1}> round_Load_351(i22, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i8 && iconst_0 = 0 && 0 < a6 && 1 <= i22 && iconst_2 = 2
round_Load_351(i22, a6, i8, iconst_2, i12, env, static) -{1,1}> round_Return_359(i22, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i8 && 0 < a6 && 1 <= i22 && iconst_2 = 2
round_Return_359(i22, a6, i8, iconst_2, i12, env, static) -{1,1}> main_Store_367(a6, i22, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i8 && 0 < a6 && 1 <= i22 && iconst_2 = 2
main_Store_367(a6, i22, i8, iconst_2, i12, env, static) -{1,1}> main_JMP_373(a6, i8, i22, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i8 && 0 < a6 && 1 <= i22 && iconst_2 = 2
main_JMP_373(a6, i8, i22, iconst_2, i12, env, static) -{0,0}> main_JMP_425(a6, i8, i22, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i8 && 0 < a6 && 1 <= i22 && iconst_2 = 2

obtained
main_JMP_425(a111, i8, i34, 2, i12, env, static) -{1,1}> main_Load_231(a111, i8, i34, 2, i12, env, static) :|: 0 < a111 && 1 <= i34 && 0 <= i34 && 2 <= i12 && 1 <= i8 && 0 <= i8
by chaining
main_JMP_425(a111, i8, i34, iconst_2, i12, env, static) -{1,1}> main_Load_428(a111, i8, i34, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i8 && 1 <= i34 && iconst_2 = 2 && 0 < a111
main_Load_428(a111, i8, i34, iconst_2, i12, env, static) -{0,0}> main_Load_231(a111, i8, i34, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i8 && 1 <= i34 && 0 <= i8 && 0 <= i34 && iconst_2 = 2 && 0 < a111

obtained
round_NE_324(1, i22, a6, i8, 2, i12, env, static) -{6,6}> main_JMP_425(a6, i8, i26', 2, i12, env, static) :|: i22 + 1 = i26' && 0 <= 1 && 0 < a6 && 2 <= i26' && 1 <= i8 && 2 <= i12 && 1 <= i26' && 0 < 1 && 1 <= 1 && 1 <= i22
by chaining
round_NE_324(iconst_1, i22, a6, i8, iconst_2, i12, env, static) -{0,0}> round_NE_332(iconst_1, i22, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && iconst_1 <= 1 && 0 <= iconst_1 && 1 <= i8 && iconst_1 = 1 && 0 < a6 && 1 <= i22 && iconst_2 = 2
round_NE_332(iconst_1, i22, a6, i8, iconst_2, i12, env, static) -{1,1}> round_Load_347(i22, a6, i8, iconst_2, i12, env, static) :|: 0 < iconst_1 && 2 <= i12 && 1 <= i8 && iconst_1 = 1 && 0 < a6 && 1 <= i22 && iconst_2 = 2
round_Load_347(i22, a6, i8, iconst_2, i12, env, static) -{1,1}> round_ConstantStackPush_358(i22, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i8 && 0 < a6 && 1 <= i22 && iconst_2 = 2
round_ConstantStackPush_358(i22, a6, i8, iconst_2, i12, env, static) -{1,1}> round_IntArithmetic_365(i22, iconst_1, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i8 && iconst_1 = 1 && 0 < a6 && 1 <= i22 && iconst_2 = 2
round_IntArithmetic_365(i22, iconst_1, a6, i8, iconst_2, i12, env, static) -{1,1}> round_Return_372(i26, a6, i8, iconst_2, i12, env, static) :|: i22 + iconst_1 = i26 && 2 <= i26 && 2 <= i12 && 1 <= i8 && iconst_1 = 1 && 0 < a6 && 1 <= i22 && iconst_2 = 2
round_Return_372(i26, a6, i8, iconst_2, i12, env, static) -{1,1}> main_Store_383(a6, i26, i8, iconst_2, i12, env, static) :|: 2 <= i26 && 2 <= i12 && 1 <= i8 && 0 < a6 && iconst_2 = 2
main_Store_383(a6, i26, i8, iconst_2, i12, env, static) -{1,1}> main_JMP_424(a6, i8, i26, iconst_2, i12, env, static) :|: 2 <= i26 && 2 <= i12 && 1 <= i8 && 0 < a6 && iconst_2 = 2
main_JMP_424(a6, i8, i26, iconst_2, i12, env, static) -{0,0}> main_JMP_425(a6, i8, i26, iconst_2, i12, env, static) :|: 2 <= i26 && 2 <= i12 && 1 <= i26 && 1 <= i8 && 0 < a6 && iconst_2 = 2

(8) Obligation:

IntTrs with 15 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 <= 2 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
random_ArrayAccess_70(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_71(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_70(a6, 0, i6, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1
random_InvokeMethod_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_197(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_197(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_207(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_197(o50, a6, i8, 2, i12, env, static) -{3,3}> main_Load_231(a6, i8, i20', 2, i12, env, static) :|: i20' <= o50 && 0 <= o50 && 0 <= i8 && 0 < a6 && 0 < o50 && 0 <= i20' && 2 <= i12
main_Load_231(a6, i8, i20, 2, i12, env, static) -{2,2}> main_LE_242(a6, i8, i20, 2, i12, env, static) :|: 0 <= i8 && 0 < a6 && 0 <= i20 && 2 <= i12
main_LE_242(a6, i8, i20, iconst_2, i12, env, static) -{0,0}> main_LE_246(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && i8 <= i20 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_LE_242(a6, i8, i20, 2, i12, env, static) -{8,8}> round_NE_324(i24', i22', a6, i8, 2, i12, env, static) :|: 0 <= i20 && i20 + 1 = i22' && 1 <= i22' && 1 <= i8 && i22' % 2 = i24' && 0 < a6 && 2 <= i12 && i24' <= 1 && 0 <= i8 && i20 < i8 && 0 <= i24'
round_NE_324(0, i22, a6, i8, 2, i12, env, static) -{4,4}> main_JMP_425(a6, i8, i22, 2, i12, env, static) :|: 0 <= 1 && 0 < a6 && 1 <= i22 && 2 <= i12 && 1 <= i8 && 0 <= 0
main_JMP_425(a111, i8, i34, 2, i12, env, static) -{1,1}> main_Load_231(a111, i8, i34, 2, i12, env, static) :|: 0 < a111 && 1 <= i34 && 0 <= i34 && 2 <= i12 && 1 <= i8 && 0 <= i8
round_NE_324(1, i22, a6, i8, 2, i12, env, static) -{6,6}> main_JMP_425(a6, i8, i26', 2, i12, env, static) :|: i22 + 1 = i26' && 0 <= 1 && 0 < a6 && 2 <= i26' && 1 <= i8 && 2 <= i12 && 1 <= i26' && 0 < 1 && 1 <= 1 && 1 <= i22

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

Moved arithmethic from lhss to constraints.

main_LE_242(a6, i8, i20, 2, i12, env, static) -{8,8}> round_NE_324(i24', i22', a6, i8, 2, i12, env, static) :|: 0 <= i20 && i20 + 1 = i22' && 1 <= i22' && 1 <= i8 && i22' % 2 = i24' && 0 < a6 && 2 <= i12 && i24' <= 1 && 0 <= i8 && i20 < i8 && 0 <= i24'
was transformed to
main_LE_242(a6, i8, i20, x, i12, env, static) -{8,8}> round_NE_324(i24', i22', a6, i8, 2, i12, env, static) :|: 0 <= i20 && i20 + 1 = i22' && 1 <= i22' && 1 <= i8 && i22' % 2 = i24' && 0 < a6 && 2 <= i12 && i24' <= 1 && 0 <= i8 && i20 < i8 && 0 <= i24' && x = 2

main_Load_231(a6, i8, i20, 2, i12, env, static) -{2,2}> main_LE_242(a6, i8, i20, 2, i12, env, static) :|: 0 <= i8 && 0 < a6 && 0 <= i20 && 2 <= i12
was transformed to
main_Load_231(a6, i8, i20, x, i12, env, static) -{2,2}> main_LE_242(a6, i8, i20, 2, i12, env, static) :|: 0 <= i8 && 0 < a6 && 0 <= i20 && 2 <= i12 && x = 2

random_ArrayAccess_143(a6, 1, i8, i12, env, static) -{7,7}> random_InvokeMethod_197(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_197(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

round_NE_324(1, i22, a6, i8, 2, i12, env, static) -{6,6}> main_JMP_425(a6, i8, i26', 2, i12, env, static) :|: i22 + 1 = i26' && 0 <= 1 && 0 < a6 && 2 <= i26' && 1 <= i8 && 2 <= i12 && 1 <= i26' && 0 < 1 && 1 <= 1 && 1 <= i22
was transformed to
round_NE_324(x, i22, a6, i8, x', i12, env, static) -{6,6}> main_JMP_425(a6, i8, i26', 2, i12, env, static) :|: i22 + 1 = i26' && 0 <= 1 && 0 < a6 && 2 <= i26' && 1 <= i8 && 2 <= i12 && 1 <= i26' && 0 < 1 && 1 <= 1 && 1 <= i22 && x = 1 && x' = 2

random_ArrayAccess_70(a6, 0, i6, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1
was transformed to
random_ArrayAccess_70(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0

random_InvokeMethod_197(o50, a6, i8, 2, i12, env, static) -{3,3}> main_Load_231(a6, i8, i20', 2, i12, env, static) :|: i20' <= o50 && 0 <= o50 && 0 <= i8 && 0 < a6 && 0 < o50 && 0 <= i20' && 2 <= i12
was transformed to
random_InvokeMethod_197(o50, a6, i8, x, i12, env, static) -{3,3}> main_Load_231(a6, i8, i20', 2, i12, env, static) :|: i20' <= o50 && 0 <= o50 && 0 <= i8 && 0 < a6 && 0 < o50 && 0 <= i20' && 2 <= i12 && x = 2

main_JMP_425(a111, i8, i34, 2, i12, env, static) -{1,1}> main_Load_231(a111, i8, i34, 2, i12, env, static) :|: 0 < a111 && 1 <= i34 && 0 <= i34 && 2 <= i12 && 1 <= i8 && 0 <= i8
was transformed to
main_JMP_425(a111, i8, i34, x, i12, env, static) -{1,1}> main_Load_231(a111, i8, i34, 2, i12, env, static) :|: 0 < a111 && 1 <= i34 && 0 <= i34 && 2 <= i12 && 1 <= i8 && 0 <= i8 && x = 2

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

round_NE_324(0, i22, a6, i8, 2, i12, env, static) -{4,4}> main_JMP_425(a6, i8, i22, 2, i12, env, static) :|: 0 <= 1 && 0 < a6 && 1 <= i22 && 2 <= i12 && 1 <= i8 && 0 <= 0
was transformed to
round_NE_324(x, i22, a6, i8, x', i12, env, static) -{4,4}> main_JMP_425(a6, i8, i22, 2, i12, env, static) :|: 0 <= 1 && 0 < a6 && 1 <= i22 && 2 <= i12 && 1 <= i8 && 0 <= 0 && x = 0 && x' = 2

(10) Obligation:

IntTrs with 15 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_LE_242(a6, i8, i20, iconst_2, i12, env, static) -{0,0}> main_LE_246(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && i8 <= i20 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_LE_242(a6, i8, i20, x, i12, env, static) -{8,8}> round_NE_324(i24', i22', a6, i8, 2, i12, env, static) :|: 0 <= i20 && i20 + 1 = i22' && 1 <= i22' && 1 <= i8 && i22' % 2 = i24' && 0 < a6 && 2 <= i12 && i24' <= 1 && 0 <= i8 && i20 < i8 && 0 <= i24' && x = 2
main_Load_231(a6, i8, i20, x, i12, env, static) -{2,2}> main_LE_242(a6, i8, i20, 2, i12, env, static) :|: 0 <= i8 && 0 < a6 && 0 <= i20 && 2 <= i12 && x = 2
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_197(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
round_NE_324(x, i22, a6, i8, x', i12, env, static) -{6,6}> main_JMP_425(a6, i8, i26', 2, i12, env, static) :|: i22 + 1 = i26' && 0 <= 1 && 0 < a6 && 2 <= i26' && 1 <= i8 && 2 <= i12 && 1 <= i26' && 0 < 1 && 1 <= 1 && 1 <= i22 && x = 1 && x' = 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
random_ArrayAccess_70(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
random_InvokeMethod_197(o50, a6, i8, x, i12, env, static) -{3,3}> main_Load_231(a6, i8, i20', 2, i12, env, static) :|: i20' <= o50 && 0 <= o50 && 0 <= i8 && 0 < a6 && 0 < o50 && 0 <= i20' && 2 <= i12 && x = 2
random_InvokeMethod_197(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_207(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 <= 2 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
main_JMP_425(a111, i8, i34, x, i12, env, static) -{1,1}> main_Load_231(a111, i8, i34, 2, i12, env, static) :|: 0 < a111 && 1 <= i34 && 0 <= i34 && 2 <= i12 && 1 <= i8 && 0 <= i8 && 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
round_NE_324(x, i22, a6, i8, x', i12, env, static) -{4,4}> main_JMP_425(a6, i8, i22, 2, i12, env, static) :|: 0 <= 1 && 0 < a6 && 1 <= i22 && 2 <= i12 && 1 <= i8 && 0 <= 0 && x = 0 && x' = 2
random_ArrayAccess_70(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_71(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6

(11) 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

random_ArrayAccess_70(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_71(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6
was transformed to
random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_71(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0

(12) Obligation:

IntTrs with 15 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_LE_242(a6, i8, i20, iconst_2, i12, env, static) -{0,0}> main_LE_246(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && i8 <= i20 && 0 < a6 && 0 <= i8 && iconst_2 = 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
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_197(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(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_ArrayAccess_70(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
main_JMP_425(a111, i8, i34, x, i12, env, static) -{1,1}> main_Load_231(a111, i8, i34, 2, i12, env, static) :|: 0 < a111 && 1 <= i34 && 0 <= i34 && 2 <= i12 && 1 <= i8 && 0 <= i8 && x = 2
main_LE_242(a6, i8, i20, x, i12, env, static) -{8,8}> round_NE_324(i24', i22', a6, i8, 2, i12, env, static) :|: 0 <= i20 && i20 + 1 = i22' && 1 <= i22' && 1 <= i8 && i22' % 2 = i24' && 0 < a6 && 2 <= i12 && i24' <= 1 && 0 <= i8 && i20 < i8 && 0 <= i24' && x = 2
random_InvokeMethod_197(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_207(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
round_NE_324(x, i22, a6, i8, x', i12, env, static) -{6,6}> main_JMP_425(a6, i8, i26', 2, i12, env, static) :|: i22 + 1 = i26' && 0 <= 1 && 0 < a6 && 2 <= i26' && 1 <= i8 && 2 <= i12 && 1 <= i26' && 0 < 1 && 1 <= 1 && 1 <= i22 && x = 1 && x' = 2
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 <= 2 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
main_Load_231(a6, i8, i20, x, i12, env, static) -{2,2}> main_LE_242(a6, i8, i20, 2, i12, env, static) :|: 0 <= i8 && 0 < a6 && 0 <= i20 && 2 <= i12 && x = 2
round_NE_324(x, i22, a6, i8, x', i12, env, static) -{4,4}> main_JMP_425(a6, i8, i22, 2, i12, env, static) :|: 0 <= 1 && 0 < a6 && 1 <= i22 && 2 <= i12 && 1 <= i8 && 0 <= 0 && x = 0 && x' = 2
random_InvokeMethod_197(o50, a6, i8, x, i12, env, static) -{3,3}> main_Load_231(a6, i8, i20', 2, i12, env, static) :|: i20' <= o50 && 0 <= o50 && 0 <= i8 && 0 < a6 && 0 < o50 && 0 <= i20' && 2 <= i12 && x = 2
random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_71(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0

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

Removed div and mod.

main_LE_242(a6, i8, i20, x, i12, env, static) -{8,8}> round_NE_324(i24', i22', a6, i8, 2, i12, env, static) :|: 0 <= i20 && i20 + 1 = i22' && 1 <= i22' && 1 <= i8 && i22' % 2 = i24' && 0 < a6 && 2 <= i12 && i24' <= 1 && 0 <= i8 && i20 < i8 && 0 <= i24' && x = 2
was transformed to
main_LE_242(a6, i8, i20, x, i12, env, static) -{8,8}> main_LE_242'(a6, i8, i20, x, i12, env, static) :|: 0 <= i20 && i20 + 1 = i22' && 1 <= i22' && 1 <= i8 && i22' - 2 * div = i24' && 0 < a6 && 2 <= i12 && i24' <= 1 && 0 <= i8 && i20 < i8 && 0 <= i24' && x = 2
main_LE_242'(a6, i8, i20, x, i12, env, static) -{8,8}> round_NE_324(i24', i22', a6, i8, 2, i12, env, static) :|: i22' - 2 * div < 2 && i22' - 2 * div + 2 > 0 && 0 <= i20 && i20 + 1 = i22' && 1 <= i22' && 1 <= i8 && i22' - 2 * div = i24' && 0 < a6 && 2 <= i12 && i24' <= 1 && 0 <= i8 && i20 < i8 && 0 <= i24' && x = 2

(14) Obligation:

IntTrs with 16 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_LE_242(a6, i8, i20, iconst_2, i12, env, static) -{0,0}> main_LE_246(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && i8 <= i20 && 0 < a6 && 0 <= i8 && iconst_2 = 2
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_100(o12, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o12 && 0 < a6 && a6 <= static && 0 <= static && 0 <= o12 && 1 <= static && -1 * static <= 1 && 1 <= i6 && 0 < o12 && x = 1
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_197(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(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_70(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
main_LE_242'(a6, i8, i20, x, i12, env, static) -{8,8}> round_NE_324(i24', i22', a6, i8, 2, i12, env, static) :|: i22' - 2 * div < 2 && i22' - 2 * div + 2 > 0 && 0 <= i20 && i20 + 1 = i22' && 1 <= i22' && 1 <= i8 && i22' - 2 * div = i24' && 0 < a6 && 2 <= i12 && i24' <= 1 && 0 <= i8 && i20 < i8 && 0 <= i24' && x = 2
main_JMP_425(a111, i8, i34, x, i12, env, static) -{1,1}> main_Load_231(a111, i8, i34, 2, i12, env, static) :|: 0 < a111 && 1 <= i34 && 0 <= i34 && 2 <= i12 && 1 <= i8 && 0 <= i8 && x = 2
round_NE_324(x, i22, a6, i8, x', i12, env, static) -{6,6}> main_JMP_425(a6, i8, i26', 2, i12, env, static) :|: i22 + 1 = i26' && 0 <= 1 && 0 < a6 && 2 <= i26' && 1 <= i8 && 2 <= i12 && 1 <= i26' && 0 < 1 && 1 <= 1 && 1 <= i22 && x = 1 && x' = 2
random_InvokeMethod_197(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_207(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 <= 2 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
main_Load_231(a6, i8, i20, x, i12, env, static) -{2,2}> main_LE_242(a6, i8, i20, 2, i12, env, static) :|: 0 <= i8 && 0 < a6 && 0 <= i20 && 2 <= i12 && x = 2
round_NE_324(x, i22, a6, i8, x', i12, env, static) -{4,4}> main_JMP_425(a6, i8, i22, 2, i12, env, static) :|: 0 <= 1 && 0 < a6 && 1 <= i22 && 2 <= i12 && 1 <= i8 && 0 <= 0 && x = 0 && x' = 2
random_InvokeMethod_197(o50, a6, i8, x, i12, env, static) -{3,3}> main_Load_231(a6, i8, i20', 2, i12, env, static) :|: i20' <= o50 && 0 <= o50 && 0 <= i8 && 0 < a6 && 0 < o50 && 0 <= i20' && 2 <= i12 && x = 2
main_LE_242(a6, i8, i20, x, i12, env, static) -{8,8}> main_LE_242'(a6, i8, i20, x, i12, env, static) :|: 0 <= i20 && i20 + 1 = i22' && 1 <= i22' && 1 <= i8 && i22' - 2 * div = i24' && 0 < a6 && 2 <= i12 && i24' <= 1 && 0 <= i8 && i20 < i8 && 0 <= i24' && x = 2
random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_71(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0

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

Moved arithmethic from constraints to rhss.

main_LE_242(a6, i8, i20, iconst_2, i12, env, static) -{0,0}> main_LE_246(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && i8 <= i20 && 0 < a6 && 0 <= i8 && iconst_2 = 2
was transformed to
main_LE_242(a6, i8, i20, iconst_2, i12, env, static) -{0,0}> main_LE_246(a6, i8, i20, 2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && i8 <= i20 && 0 < a6 && 0 <= i8 && iconst_2 = 2

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_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_LE_242'(a6, i8, i20, x, i12, env, static) -{8,8}> round_NE_324(i24', i22', a6, i8, 2, i12, env, static) :|: i22' - 2 * div < 2 && i22' - 2 * div + 2 > 0 && 0 <= i20 && i20 + 1 = i22' && 1 <= i22' && 1 <= i8 && i22' - 2 * div = i24' && 0 < a6 && 2 <= i12 && i24' <= 1 && 0 <= i8 && i20 < i8 && 0 <= i24' && x = 2
was transformed to
main_LE_242'(a6, i8, i20, x, i12, env, static) -{8,8}> round_NE_324(i20 + 1 - 2 * div, i20 + 1, a6, i8, 2, i12, env, static) :|: i22' - 2 * div < 2 && i22' - 2 * div + 2 > 0 && 0 <= i20 && i20 + 1 = i22' && 1 <= i22' && 1 <= i8 && i22' - 2 * div = i24' && 0 < a6 && 2 <= i12 && i24' <= 1 && 0 <= i8 && i20 < i8 && 0 <= i24' && x = 2

random_InvokeMethod_197(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_207(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_197(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_207(0, a6, i8, 2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2

round_NE_324(x, i22, a6, i8, x', i12, env, static) -{6,6}> main_JMP_425(a6, i8, i26', 2, i12, env, static) :|: i22 + 1 = i26' && 0 <= 1 && 0 < a6 && 2 <= i26' && 1 <= i8 && 2 <= i12 && 1 <= i26' && 0 < 1 && 1 <= 1 && 1 <= i22 && x = 1 && x' = 2
was transformed to
round_NE_324(x, i22, a6, i8, x', i12, env, static) -{6,6}> main_JMP_425(a6, i8, i22 + 1, 2, i12, env, static) :|: i22 + 1 = i26' && 0 <= 1 && 0 < a6 && 2 <= i26' && 1 <= i8 && 2 <= i12 && 1 <= i26' && 0 < 1 && 1 <= 1 && 1 <= i22 && x = 1 && x' = 2

random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_71(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
was transformed to
random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_71(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0

main_LE_242(a6, i8, i20, x, i12, env, static) -{8,8}> main_LE_242'(a6, i8, i20, x, i12, env, static) :|: 0 <= i20 && i20 + 1 = i22' && 1 <= i22' && 1 <= i8 && i22' - 2 * div = i24' && 0 < a6 && 2 <= i12 && i24' <= 1 && 0 <= i8 && i20 < i8 && 0 <= i24' && x = 2
was transformed to
main_LE_242(a6, i8, i20, x, i12, env, static) -{8,8}> main_LE_242'(a6, i8, i20, 2, i12, env, static) :|: 0 <= i20 && i20 + 1 = i22' && 1 <= i22' && 1 <= i8 && i22' - 2 * div = i24' && 0 < a6 && 2 <= i12 && i24' <= 1 && 0 <= i8 && i20 < i8 && 0 <= i24' && x = 2

(16) Obligation:

IntTrs with 16 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_LE_242(a6, i8, i20, iconst_2, i12, env, static) -{0,0}> main_LE_246(a6, i8, i20, 2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && i8 <= i20 && 0 < a6 && 0 <= i8 && iconst_2 = 2
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_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_197(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(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_LE_242'(a6, i8, i20, x, i12, env, static) -{8,8}> round_NE_324(i20 + 1 - 2 * div, i20 + 1, a6, i8, 2, i12, env, static) :|: i22' - 2 * div < 2 && i22' - 2 * div + 2 > 0 && 0 <= i20 && i20 + 1 = i22' && 1 <= i22' && 1 <= i8 && i22' - 2 * div = i24' && 0 < a6 && 2 <= i12 && i24' <= 1 && 0 <= i8 && i20 < i8 && 0 <= i24' && x = 2
random_ArrayAccess_70(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
main_JMP_425(a111, i8, i34, x, i12, env, static) -{1,1}> main_Load_231(a111, i8, i34, 2, i12, env, static) :|: 0 < a111 && 1 <= i34 && 0 <= i34 && 2 <= i12 && 1 <= i8 && 0 <= i8 && x = 2
random_InvokeMethod_197(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_207(0, a6, i8, 2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
round_NE_324(x, i22, a6, i8, x', i12, env, static) -{6,6}> main_JMP_425(a6, i8, i22 + 1, 2, i12, env, static) :|: i22 + 1 = i26' && 0 <= 1 && 0 < a6 && 2 <= i26' && 1 <= i8 && 2 <= i12 && 1 <= i26' && 0 < 1 && 1 <= 1 && 1 <= i22 && x = 1 && x' = 2
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 <= 2 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
main_Load_231(a6, i8, i20, x, i12, env, static) -{2,2}> main_LE_242(a6, i8, i20, 2, i12, env, static) :|: 0 <= i8 && 0 < a6 && 0 <= i20 && 2 <= i12 && x = 2
round_NE_324(x, i22, a6, i8, x', i12, env, static) -{4,4}> main_JMP_425(a6, i8, i22, 2, i12, env, static) :|: 0 <= 1 && 0 < a6 && 1 <= i22 && 2 <= i12 && 1 <= i8 && 0 <= 0 && x = 0 && x' = 2
random_InvokeMethod_197(o50, a6, i8, x, i12, env, static) -{3,3}> main_Load_231(a6, i8, i20', 2, i12, env, static) :|: i20' <= o50 && 0 <= o50 && 0 <= i8 && 0 < a6 && 0 < o50 && 0 <= i20' && 2 <= i12 && x = 2
random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_71(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
main_LE_242(a6, i8, i20, x, i12, env, static) -{8,8}> main_LE_242'(a6, i8, i20, 2, i12, env, static) :|: 0 <= i20 && i20 + 1 = i22' && 1 <= i22' && 1 <= i8 && i22' - 2 * div = i24' && 0 < a6 && 2 <= i12 && i24' <= 1 && 0 <= i8 && i20 < i8 && 0 <= i24' && x = 2

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

Simplified expressions.

main_LE_242(a6, i8, i20, x, i12, env, static) -{8,8}> main_LE_242'(a6, i8, i20, 2, i12, env, static) :|: 0 <= i20 && i20 + 1 = i22' && 1 <= i22' && 1 <= i8 && i22' - 2 * div = i24' && 0 < a6 && 2 <= i12 && i24' <= 1 && 0 <= i8 && i20 < i8 && 0 <= i24' && x = 2
was transformed to
main_LE_242(a6, i8, i20, x, i12, env, static) -{8,8}> main_LE_242'(a6, i8, i20, 2, i12, env, static) :|: 0 <= i20 && i20 + 1 = i22' && 1 <= i22' && 1 <= i8 && i22' + -2 * div = i24' && 0 < a6 && 2 <= i12 && i24' <= 1 && 0 <= i8 && i20 < i8 && 0 <= i24' && 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

round_NE_324(x, i22, a6, i8, x', i12, env, static) -{6,6}> main_JMP_425(a6, i8, i22 + 1, 2, i12, env, static) :|: i22 + 1 = i26' && 0 <= 1 && 0 < a6 && 2 <= i26' && 1 <= i8 && 2 <= i12 && 1 <= i26' && 0 < 1 && 1 <= 1 && 1 <= i22 && x = 1 && x' = 2
was transformed to
round_NE_324(x, i22, a6, i8, x', i12, env, static) -{6,6}> main_JMP_425(a6, i8, i22 + 1, 2, i12, env, static) :|: i22 + 1 = i26' && 0 < a6 && 2 <= i26' && 1 <= i8 && 2 <= i12 && 1 <= i26' && 1 <= i22 && x = 1 && x' = 2

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

main_LE_242'(a6, i8, i20, x, i12, env, static) -{8,8}> round_NE_324(i20 + 1 - 2 * div, i20 + 1, a6, i8, 2, i12, env, static) :|: i22' - 2 * div < 2 && i22' - 2 * div + 2 > 0 && 0 <= i20 && i20 + 1 = i22' && 1 <= i22' && 1 <= i8 && i22' - 2 * div = i24' && 0 < a6 && 2 <= i12 && i24' <= 1 && 0 <= i8 && i20 < i8 && 0 <= i24' && x = 2
was transformed to
main_LE_242'(a6, i8, i20, x, i12, env, static) -{8,8}> round_NE_324(i20 + 1 + -2 * div, i20 + 1, a6, i8, 2, i12, env, static) :|: i22' + -2 * div < 2 && 0 < i22' + -2 * div + 2 && 0 <= i20 && i20 + 1 = i22' && 1 <= i22' && 1 <= i8 && i22' + -2 * div = i24' && 0 < a6 && 2 <= i12 && i24' <= 1 && 0 <= i8 && i20 < i8 && 0 <= i24' && x = 2

round_NE_324(x, i22, a6, i8, x', i12, env, static) -{4,4}> main_JMP_425(a6, i8, i22, 2, i12, env, static) :|: 0 <= 1 && 0 < a6 && 1 <= i22 && 2 <= i12 && 1 <= i8 && 0 <= 0 && x = 0 && x' = 2
was transformed to
round_NE_324(x, i22, a6, i8, x', i12, env, static) -{4,4}> main_JMP_425(a6, i8, i22, 2, i12, env, static) :|: 0 < a6 && 1 <= i22 && 2 <= i12 && 1 <= i8 && x = 0 && x' = 2

random_InvokeMethod_197(o50, a6, i8, x, i12, env, static) -{3,3}> main_Load_231(a6, i8, i20', 2, i12, env, static) :|: i20' <= o50 && 0 <= o50 && 0 <= i8 && 0 < a6 && 0 < o50 && 0 <= i20' && 2 <= i12 && x = 2
was transformed to
random_InvokeMethod_197(o50, a6, i8, x, i12, env, static) -{3,3}> main_Load_231(a6, i8, i20', 2, i12, env, static) :|: i20' <= o50 && 0 <= i8 && 0 < a6 && 0 < o50 && 0 <= i20' && 2 <= i12 && x = 2

(18) Obligation:

IntTrs with 16 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_71(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
random_InvokeMethod_100(o12, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= i8' && i8' <= o12 && 0 < a6 && a6 <= static && 0 <= static && 1 <= static && -1 * static <= 1 && 1 <= i6 && 0 < o12 && x = 1
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_197(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
main_LE_242(a6, i8, i20, iconst_2, i12, env, static) -{0,0}> main_LE_246(a6, i8, i20, 2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && i8 <= i20 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_197(o50, a6, i8, x, i12, env, static) -{3,3}> main_Load_231(a6, i8, i20', 2, i12, env, static) :|: i20' <= o50 && 0 <= i8 && 0 < a6 && 0 < o50 && 0 <= i20' && 2 <= i12 && x = 2
random_ArrayAccess_70(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
main_LE_242(a6, i8, i20, x, i12, env, static) -{8,8}> main_LE_242'(a6, i8, i20, 2, i12, env, static) :|: 0 <= i20 && i20 + 1 = i22' && 1 <= i22' && 1 <= i8 && i22' + -2 * div = i24' && 0 < a6 && 2 <= i12 && i24' <= 1 && 0 <= i8 && i20 < i8 && 0 <= i24' && x = 2
main_JMP_425(a111, i8, i34, x, i12, env, static) -{1,1}> main_Load_231(a111, i8, i34, 2, i12, env, static) :|: 0 < a111 && 1 <= i34 && 0 <= i34 && 2 <= i12 && 1 <= i8 && 0 <= i8 && x = 2
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 <= static'3
round_NE_324(x, i22, a6, i8, x', i12, env, static) -{4,4}> main_JMP_425(a6, i8, i22, 2, i12, env, static) :|: 0 < a6 && 1 <= i22 && 2 <= i12 && 1 <= i8 && x = 0 && x' = 2
round_NE_324(x, i22, a6, i8, x', i12, env, static) -{6,6}> main_JMP_425(a6, i8, i22 + 1, 2, i12, env, static) :|: i22 + 1 = i26' && 0 < a6 && 2 <= i26' && 1 <= i8 && 2 <= i12 && 1 <= i26' && 1 <= i22 && x = 1 && x' = 2
main_Load_231(a6, i8, i20, x, i12, env, static) -{2,2}> main_LE_242(a6, i8, i20, 2, i12, env, static) :|: 0 <= i8 && 0 < a6 && 0 <= i20 && 2 <= i12 && 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
main_LE_242'(a6, i8, i20, x, i12, env, static) -{8,8}> round_NE_324(i20 + 1 + -2 * div, i20 + 1, a6, i8, 2, i12, env, static) :|: i22' + -2 * div < 2 && 0 < i22' + -2 * div + 2 && 0 <= i20 && i20 + 1 = i22' && 1 <= i22' && 1 <= i8 && i22' + -2 * div = i24' && 0 < a6 && 2 <= i12 && i24' <= 1 && 0 <= i8 && i20 < i8 && 0 <= i24' && x = 2
random_InvokeMethod_197(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_207(0, a6, i8, 2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
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

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

Transformed 93 jbc graph edges to a weighted ITS with 93 rules.
Used simplified encoding of division and modulo.
Filtered conditions with variables that do not depend on the variables on the lhs or rhs without taking transitive dependencies into account.
Did no encode lower bounds for putfield and astore.

(20) Obligation:

IntTrs with 93 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_1(o1, env, static) -{0,0}> main_Load_3(o1, env, static) :|: 0 < o1
main_Load_3(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_6(o1, env, static) :|: 0 < o1
langle_clinit_rangle_ConstantStackPush_6(o1, env, static) -{1,1}> langle_clinit_rangle_ArrayCreate_12(iconst_0, o1, env, static) :|: iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ArrayCreate_12(iconst_0, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_15(a2, o1, iconst_0, env, static) :|: a2 = 2 && iconst_0 = 0 && 0 < a2 && 0 < o1
langle_clinit_rangle_FieldAccess_15(a2, o1, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_17(o1, env, static') :|: 0 <= a2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2 && 0 < o1
langle_clinit_rangle_New_17(o1, env, static) -{0,0}> langle_clinit_rangle_New_18(o1, env, static) :|: 0 < o1
langle_clinit_rangle_New_18(o1, env, static) -{0,0}> langle_clinit_rangle_New_19(o1, env, static) :|: 0 <= static && 0 < o1
langle_clinit_rangle_New_19(o1, env, static) -{1,1}> langle_clinit_rangle_Duplicate_21(o4, o1, env, static) :|: o4 = 1 && 0 < o4 && 0 < o1
langle_clinit_rangle_Duplicate_21(o4, o1, env, static) -{1,1}> langle_clinit_rangle_ConstantStackPush_22(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_ConstantStackPush_22(o4, o1, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_24(o4, NULL, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_clinit_rangle_InvokeMethod_24(o4, NULL, o1, env, static) -{1,1}> langle_init_rangle_Load_25(o4, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_init_rangle_Load_25(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_28(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_28(o4, o1, env, static) -{1,1}> langle_init_rangle_Load_29(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Load_29(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_31(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_31(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_34(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_34(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_36(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_36(o4, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_39(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_FieldAccess_39(o4, o1, env, static) -{1,1}> langle_clinit_rangle_Return_40(o1, env, static') :|: 0 <= o4 && 0 < o4 && 0 <= static && 0 < o1 && static' <= static + o4
langle_clinit_rangle_Return_40(o1, env, static) -{1,1}> main_Load_46(o1, env, static) :|: 0 < o1
main_Load_46(o1, env, static) -{0,0}> main_Load_48(o1, env, static) :|: 0 < o1
main_Load_48(o1, env, static) -{0,0}> main_Load_51(o1, env, static) :|: 0 <= static && 0 < o1
main_Load_51(o1, env, static) -{0,0}> main_Load_53(o1, env, static) :|: 0 < o1
main_Load_53(o1, env, static) -{0,0}> main_Load_54(o1, env, static) :|: 0 < o1
main_Load_54(o1, env, static) -{1,1}> main_FieldAccess_57(o1, env, static) :|: 0 < o1
main_FieldAccess_57(o1, env, static) -{0,0}> main_FieldAccess_58(o1, env, static) :|: 0 < o1
main_FieldAccess_58(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_60(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ConstantStackPush_60(o1, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_62(iconst_0, o1, NULL, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_FieldAccess_62(iconst_0, o1, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_63(o1, NULL, iconst_0, env, static') :|: NULL = 0 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0 && 0 < o1
langle_clinit_rangle_Return_63(o1, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_64(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
main_FieldAccess_64(o1, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_65(o1, iconst_0, env, static') :|: static' <= static + o1 && NULL = 0 && 0 <= o1 && iconst_0 = 0 && 0 <= static && 0 < o1
main_InvokeMethod_65(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_66(o1, iconst_0, env, static) :|: iconst_0 = 0 && 0 < o1
random_FieldAccess_66(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_67(o1, iconst_0, env, static) :|: 0 <= o1 && o1 <= static && iconst_0 = 0 && 0 <= static && 0 < o1
random_FieldAccess_67(o1, iconst_0, env, static) -{1,1}> random_ArrayAccess_69(o1, iconst_0, env, static) :|: -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static && 0 < o1
random_ArrayAccess_69(a6, iconst_0, env, static) -{0,0}> random_ArrayAccess_70(a6, iconst_0, i4, env, static) :|: 0 <= i4 && iconst_0 = 0 && 0 < a6 && i4 < a6
random_ArrayAccess_70(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_71(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_70(a6, iconst_0, i6, env, static) -{0,0}> random_ArrayAccess_73(a6, iconst_0, i6, env, static) :|: 0 <= i6 && 1 <= i6 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_73(a6, iconst_0, i6, env, static) -{1,1}> random_Store_78(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && o8 < a6 && iconst_0 = 0 && 0 < a6
random_Store_78(o8, a6, iconst_0, i6, env, static) -{1,1}> random_FieldAccess_81(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_0 = 0 && 0 < a6
random_FieldAccess_81(o8, a6, iconst_0, i6, env, static) -{1,1}> random_ConstantStackPush_86(iconst_0, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && 0 < a6 && iconst_0 <= static
random_ConstantStackPush_86(iconst_0, o8, a6, i6, env, static) -{1,1}> random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i6, env, static) -{1,1}> random_FieldAccess_91(iconst_1, o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_FieldAccess_91(iconst_1, o8, a6, iconst_0, i6, env, static) -{1,1}> random_Load_95(o8, a6, iconst_1, i6, env, static') :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 <= static && 0 < a6 && static' <= static + iconst_1
random_Load_95(o8, a6, iconst_1, i6, env, static) -{1,1}> random_InvokeMethod_100(o8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && 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_108(i8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && i8 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_Return_108(i8, a6, iconst_1, i6, env, static) -{1,1}> main_Store_114(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_Store_114(a6, i8, iconst_1, i6, env, static) -{1,1}> main_InvokeMethod_119(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_InvokeMethod_119(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_123(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_FieldAccess_123(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_138(a6, i8, iconst_1, i6, env, static) :|: 0 <= a6 && 1 <= i6 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8
random_FieldAccess_138(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_154(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_FieldAccess_154(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_ConstantStackPush_164(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_164(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_IntArithmetic_168(iconst_1, o25, a6, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_IntArithmetic_168(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_FieldAccess_170(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_170(iconst_2, o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_Load_181(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_181(o25, a6, i8, iconst_2, i12, env, static) -{1,1}> random_InvokeMethod_197(o25, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2
random_InvokeMethod_197(o50, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_206(o50, a6, i8, iconst_2, i12, env, static) :|: 0 < o50 && 2 <= i12 && 0 <= o50 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_197(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_207(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_206(o50, a6, i8, iconst_2, i12, env, static) -{1,1}> random_Return_215(i20, a6, i8, iconst_2, i12, env, static) :|: 0 <= i20 && 0 < o50 && 2 <= i12 && 0 < a6 && 0 <= i8 && i20 <= o50 && iconst_2 = 2
random_Return_215(i20, a6, i8, iconst_2, i12, env, static) -{1,1}> main_Store_220(a6, i20, i8, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Store_220(a6, i20, i8, iconst_2, i12, env, static) -{1,1}> main_Load_231(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Load_231(a6, i8, i20, iconst_2, i12, env, static) -{1,1}> main_Load_237(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Load_237(a6, i8, i20, iconst_2, i12, env, static) -{1,1}> main_LE_242(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_LE_242(a6, i8, i20, iconst_2, i12, env, static) -{0,0}> main_LE_246(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && i8 <= i20 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_LE_242(a6, i8, i20, iconst_2, i12, env, static) -{0,0}> main_LE_248(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && i20 < i8 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_LE_248(a6, i8, i20, iconst_2, i12, env, static) -{1,1}> main_Load_256(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && i20 < i8 && 1 <= i8 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Load_256(a6, i8, i20, iconst_2, i12, env, static) -{1,1}> main_ConstantStackPush_271(a6, i20, i8, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 1 <= i8 && 0 < a6 && iconst_2 = 2
main_ConstantStackPush_271(a6, i20, i8, iconst_2, i12, env, static) -{1,1}> main_IntArithmetic_276(a6, i20, iconst_1, i8, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 1 <= i8 && iconst_1 = 1 && 0 < a6 && iconst_2 = 2
main_IntArithmetic_276(a6, i20, iconst_1, i8, iconst_2, i12, env, static) -{1,1}> main_InvokeMethod_282(a6, i22, i8, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 1 <= i8 && iconst_1 = 1 && 0 < a6 && 1 <= i22 && iconst_2 = 2 && i20 + iconst_1 = i22
main_InvokeMethod_282(a6, i22, i8, iconst_2, i12, env, static) -{1,1}> round_Load_294(i22, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i8 && 0 < a6 && 1 <= i22 && iconst_2 = 2
round_Load_294(i22, a6, i8, iconst_2, i12, env, static) -{1,1}> round_ConstantStackPush_307(i22, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i8 && 0 < a6 && 1 <= i22 && iconst_2 = 2
round_ConstantStackPush_307(i22, a6, i8, iconst_2, i12, env, static) -{1,1}> round_IntArithmetic_314(i22, iconst_2, a6, i8, i12, env, static) :|: 2 <= i12 && 1 <= i8 && 0 < a6 && 1 <= i22 && iconst_2 = 2
round_IntArithmetic_314(i22, iconst_2, a6, i8, i12, env, static) -{1,1}> round_NE_324(i24, i22, a6, i8, iconst_2, i12, env, static) :|: 0 <= i24 && 2 <= i12 && i24 <= 1 && 1 <= i8 && 0 < a6 && i24 < iconst_2 && 1 <= i22 && iconst_2 = 2
round_NE_324(iconst_1, i22, a6, i8, iconst_2, i12, env, static) -{0,0}> round_NE_332(iconst_1, i22, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && iconst_1 <= 1 && 0 <= iconst_1 && 1 <= i8 && iconst_1 = 1 && 0 < a6 && 1 <= i22 && iconst_2 = 2
round_NE_324(iconst_0, i22, a6, i8, iconst_2, i12, env, static) -{0,0}> round_NE_333(iconst_0, i22, a6, i8, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && 1 <= i8 && iconst_0 <= 1 && iconst_0 = 0 && 0 < a6 && 1 <= i22 && iconst_2 = 2
round_NE_332(iconst_1, i22, a6, i8, iconst_2, i12, env, static) -{1,1}> round_Load_347(i22, a6, i8, iconst_2, i12, env, static) :|: 0 < iconst_1 && 2 <= i12 && 1 <= i8 && iconst_1 = 1 && 0 < a6 && 1 <= i22 && iconst_2 = 2
round_NE_333(iconst_0, i22, a6, i8, iconst_2, i12, env, static) -{1,1}> round_Load_351(i22, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i8 && iconst_0 = 0 && 0 < a6 && 1 <= i22 && iconst_2 = 2
round_Load_347(i22, a6, i8, iconst_2, i12, env, static) -{1,1}> round_ConstantStackPush_358(i22, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i8 && 0 < a6 && 1 <= i22 && iconst_2 = 2
round_Load_351(i22, a6, i8, iconst_2, i12, env, static) -{1,1}> round_Return_359(i22, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i8 && 0 < a6 && 1 <= i22 && iconst_2 = 2
round_ConstantStackPush_358(i22, a6, i8, iconst_2, i12, env, static) -{1,1}> round_IntArithmetic_365(i22, iconst_1, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i8 && iconst_1 = 1 && 0 < a6 && 1 <= i22 && iconst_2 = 2
round_Return_359(i22, a6, i8, iconst_2, i12, env, static) -{1,1}> main_Store_367(a6, i22, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i8 && 0 < a6 && 1 <= i22 && iconst_2 = 2
round_IntArithmetic_365(i22, iconst_1, a6, i8, iconst_2, i12, env, static) -{1,1}> round_Return_372(i26, a6, i8, iconst_2, i12, env, static) :|: i22 + iconst_1 = i26 && 2 <= i26 && 2 <= i12 && 1 <= i8 && iconst_1 = 1 && 0 < a6 && 1 <= i22 && iconst_2 = 2
main_Store_367(a6, i22, i8, iconst_2, i12, env, static) -{1,1}> main_JMP_373(a6, i8, i22, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i8 && 0 < a6 && 1 <= i22 && iconst_2 = 2
round_Return_372(i26, a6, i8, iconst_2, i12, env, static) -{1,1}> main_Store_383(a6, i26, i8, iconst_2, i12, env, static) :|: 2 <= i26 && 2 <= i12 && 1 <= i8 && 0 < a6 && iconst_2 = 2
main_JMP_373(a6, i8, i22, iconst_2, i12, env, static) -{0,0}> main_JMP_425(a6, i8, i22, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i8 && 0 < a6 && 1 <= i22 && iconst_2 = 2
main_Store_383(a6, i26, i8, iconst_2, i12, env, static) -{1,1}> main_JMP_424(a6, i8, i26, iconst_2, i12, env, static) :|: 2 <= i26 && 2 <= i12 && 1 <= i8 && 0 < a6 && iconst_2 = 2
main_JMP_424(a6, i8, i26, iconst_2, i12, env, static) -{0,0}> main_JMP_425(a6, i8, i26, iconst_2, i12, env, static) :|: 2 <= i26 && 2 <= i12 && 1 <= i26 && 1 <= i8 && 0 < a6 && iconst_2 = 2
main_JMP_425(a111, i8, i34, iconst_2, i12, env, static) -{1,1}> main_Load_428(a111, i8, i34, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i8 && 1 <= i34 && iconst_2 = 2 && 0 < a111
main_Load_428(a111, i8, i34, iconst_2, i12, env, static) -{0,0}> main_Load_231(a111, i8, i34, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i8 && 1 <= i34 && 0 <= i8 && 0 <= i34 && iconst_2 = 2 && 0 < a111

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

obtained
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 <= 2 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
by chaining
main_Load_1(o1, env, static) -{0,0}> main_Load_3(o1, env, static) :|: 0 < o1
main_Load_3(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_6(o1, env, static) :|: 0 < o1
langle_clinit_rangle_ConstantStackPush_6(o1, env, static) -{1,1}> langle_clinit_rangle_ArrayCreate_12(iconst_0, o1, env, static) :|: iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ArrayCreate_12(iconst_0, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_15(a2, o1, iconst_0, env, static) :|: a2 = 2 && iconst_0 = 0 && 0 < a2 && 0 < o1
langle_clinit_rangle_FieldAccess_15(a2, o1, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_17(o1, env, static') :|: 0 <= a2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2 && 0 < o1
langle_clinit_rangle_New_17(o1, env, static) -{0,0}> langle_clinit_rangle_New_18(o1, env, static) :|: 0 < o1
langle_clinit_rangle_New_18(o1, env, static) -{0,0}> langle_clinit_rangle_New_19(o1, env, static) :|: 0 <= static && 0 < o1
langle_clinit_rangle_New_19(o1, env, static) -{1,1}> langle_clinit_rangle_Duplicate_21(o4, o1, env, static) :|: o4 = 1 && 0 < o4 && 0 < o1
langle_clinit_rangle_Duplicate_21(o4, o1, env, static) -{1,1}> langle_clinit_rangle_ConstantStackPush_22(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_ConstantStackPush_22(o4, o1, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_24(o4, NULL, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_clinit_rangle_InvokeMethod_24(o4, NULL, o1, env, static) -{1,1}> langle_init_rangle_Load_25(o4, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_init_rangle_Load_25(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_28(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_28(o4, o1, env, static) -{1,1}> langle_init_rangle_Load_29(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Load_29(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_31(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_31(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_34(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_34(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_36(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_36(o4, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_39(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_FieldAccess_39(o4, o1, env, static) -{1,1}> langle_clinit_rangle_Return_40(o1, env, static') :|: 0 <= o4 && 0 < o4 && 0 <= static && 0 < o1 && static' <= static + o4
langle_clinit_rangle_Return_40(o1, env, static) -{1,1}> main_Load_46(o1, env, static) :|: 0 < o1
main_Load_46(o1, env, static) -{0,0}> main_Load_48(o1, env, static) :|: 0 < o1
main_Load_48(o1, env, static) -{0,0}> main_Load_51(o1, env, static) :|: 0 <= static && 0 < o1
main_Load_51(o1, env, static) -{0,0}> main_Load_53(o1, env, static) :|: 0 < o1
main_Load_53(o1, env, static) -{0,0}> main_Load_54(o1, env, static) :|: 0 < o1
main_Load_54(o1, env, static) -{1,1}> main_FieldAccess_57(o1, env, static) :|: 0 < o1
main_FieldAccess_57(o1, env, static) -{0,0}> main_FieldAccess_58(o1, env, static) :|: 0 < o1
main_FieldAccess_58(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_60(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ConstantStackPush_60(o1, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_62(iconst_0, o1, NULL, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_FieldAccess_62(iconst_0, o1, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_63(o1, NULL, iconst_0, env, static') :|: NULL = 0 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0 && 0 < o1
langle_clinit_rangle_Return_63(o1, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_64(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
main_FieldAccess_64(o1, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_65(o1, iconst_0, env, static') :|: static' <= static + o1 && NULL = 0 && 0 <= o1 && iconst_0 = 0 && 0 <= static && 0 < o1
main_InvokeMethod_65(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_66(o1, iconst_0, env, static) :|: iconst_0 = 0 && 0 < o1
random_FieldAccess_66(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_67(o1, iconst_0, env, static) :|: 0 <= o1 && o1 <= static && iconst_0 = 0 && 0 <= static && 0 < o1
random_FieldAccess_67(o1, iconst_0, env, static) -{1,1}> random_ArrayAccess_69(o1, iconst_0, env, static) :|: -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static && 0 < o1
random_ArrayAccess_69(a6, iconst_0, env, static) -{0,0}> random_ArrayAccess_70(a6, iconst_0, i4, env, static) :|: 0 <= i4 && iconst_0 = 0 && 0 < a6 && i4 < a6

obtained
random_ArrayAccess_70(a6, 0, i6, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1
by chaining
random_ArrayAccess_70(a6, iconst_0, i6, env, static) -{0,0}> random_ArrayAccess_73(a6, iconst_0, i6, env, static) :|: 0 <= i6 && 1 <= i6 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_73(a6, iconst_0, i6, env, static) -{1,1}> random_Store_78(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && o8 < a6 && iconst_0 = 0 && 0 < a6
random_Store_78(o8, a6, iconst_0, i6, env, static) -{1,1}> random_FieldAccess_81(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_0 = 0 && 0 < a6
random_FieldAccess_81(o8, a6, iconst_0, i6, env, static) -{1,1}> random_ConstantStackPush_86(iconst_0, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && 0 < a6 && iconst_0 <= static
random_ConstantStackPush_86(iconst_0, o8, a6, i6, env, static) -{1,1}> random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i6, env, static) -{1,1}> random_FieldAccess_91(iconst_1, o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_FieldAccess_91(iconst_1, o8, a6, iconst_0, i6, env, static) -{1,1}> random_Load_95(o8, a6, iconst_1, i6, env, static') :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 <= static && 0 < a6 && static' <= static + iconst_1
random_Load_95(o8, a6, iconst_1, i6, env, static) -{1,1}> random_InvokeMethod_100(o8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && 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_108(i8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && i8 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_Return_108(i8, a6, iconst_1, i6, env, static) -{1,1}> main_Store_114(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_Store_114(a6, i8, iconst_1, i6, env, static) -{1,1}> main_InvokeMethod_119(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_InvokeMethod_119(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_123(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_FieldAccess_123(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_138(a6, i8, iconst_1, i6, env, static) :|: 0 <= a6 && 1 <= i6 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8
random_FieldAccess_138(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_197(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_154(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_FieldAccess_154(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_ConstantStackPush_164(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_164(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_IntArithmetic_168(iconst_1, o25, a6, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_IntArithmetic_168(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_FieldAccess_170(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_170(iconst_2, o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_Load_181(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_181(o25, a6, i8, iconst_2, i12, env, static) -{1,1}> random_InvokeMethod_197(o25, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2

obtained
random_InvokeMethod_197(o50, a6, i8, 2, i12, env, static) -{3,3}> main_Load_231(a6, i8, i20', 2, i12, env, static) :|: i20' <= o50 && 0 <= o50 && 0 <= i8 && 0 < a6 && 0 < o50 && 0 <= i20' && 2 <= i12
by chaining
random_InvokeMethod_197(o50, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_206(o50, a6, i8, iconst_2, i12, env, static) :|: 0 < o50 && 2 <= i12 && 0 <= o50 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_206(o50, a6, i8, iconst_2, i12, env, static) -{1,1}> random_Return_215(i20, a6, i8, iconst_2, i12, env, static) :|: 0 <= i20 && 0 < o50 && 2 <= i12 && 0 < a6 && 0 <= i8 && i20 <= o50 && iconst_2 = 2
random_Return_215(i20, a6, i8, iconst_2, i12, env, static) -{1,1}> main_Store_220(a6, i20, i8, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Store_220(a6, i20, i8, iconst_2, i12, env, static) -{1,1}> main_Load_231(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2

obtained
main_Load_231(a6, i8, i20, 2, i12, env, static) -{2,2}> main_LE_242(a6, i8, i20, 2, i12, env, static) :|: 0 <= i8 && 0 < a6 && 0 <= i20 && 2 <= i12
by chaining
main_Load_231(a6, i8, i20, iconst_2, i12, env, static) -{1,1}> main_Load_237(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Load_237(a6, i8, i20, iconst_2, i12, env, static) -{1,1}> main_LE_242(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2

obtained
main_LE_242(a6, i8, i20, 2, i12, env, static) -{8,8}> round_NE_324(i24', i22', a6, i8, 2, i12, env, static) :|: 0 <= i20 && i20 + 1 = i22' && 1 <= i22' && 1 <= i8 && i24' < 2 && 0 < a6 && 2 <= i12 && i24' <= 1 && 0 <= i8 && i20 < i8 && 0 <= i24'
by chaining
main_LE_242(a6, i8, i20, iconst_2, i12, env, static) -{0,0}> main_LE_248(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && i20 < i8 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_LE_248(a6, i8, i20, iconst_2, i12, env, static) -{1,1}> main_Load_256(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && i20 < i8 && 1 <= i8 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Load_256(a6, i8, i20, iconst_2, i12, env, static) -{1,1}> main_ConstantStackPush_271(a6, i20, i8, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 1 <= i8 && 0 < a6 && iconst_2 = 2
main_ConstantStackPush_271(a6, i20, i8, iconst_2, i12, env, static) -{1,1}> main_IntArithmetic_276(a6, i20, iconst_1, i8, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 1 <= i8 && iconst_1 = 1 && 0 < a6 && iconst_2 = 2
main_IntArithmetic_276(a6, i20, iconst_1, i8, iconst_2, i12, env, static) -{1,1}> main_InvokeMethod_282(a6, i22, i8, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 1 <= i8 && iconst_1 = 1 && 0 < a6 && 1 <= i22 && iconst_2 = 2 && i20 + iconst_1 = i22
main_InvokeMethod_282(a6, i22, i8, iconst_2, i12, env, static) -{1,1}> round_Load_294(i22, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i8 && 0 < a6 && 1 <= i22 && iconst_2 = 2
round_Load_294(i22, a6, i8, iconst_2, i12, env, static) -{1,1}> round_ConstantStackPush_307(i22, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i8 && 0 < a6 && 1 <= i22 && iconst_2 = 2
round_ConstantStackPush_307(i22, a6, i8, iconst_2, i12, env, static) -{1,1}> round_IntArithmetic_314(i22, iconst_2, a6, i8, i12, env, static) :|: 2 <= i12 && 1 <= i8 && 0 < a6 && 1 <= i22 && iconst_2 = 2
round_IntArithmetic_314(i22, iconst_2, a6, i8, i12, env, static) -{1,1}> round_NE_324(i24, i22, a6, i8, iconst_2, i12, env, static) :|: 0 <= i24 && 2 <= i12 && i24 <= 1 && 1 <= i8 && 0 < a6 && i24 < iconst_2 && 1 <= i22 && iconst_2 = 2

obtained
round_NE_324(0, i22, a6, i8, 2, i12, env, static) -{4,4}> main_JMP_425(a6, i8, i22, 2, i12, env, static) :|: 0 <= 1 && 0 < a6 && 1 <= i22 && 2 <= i12 && 1 <= i8 && 0 <= 0
by chaining
round_NE_324(iconst_0, i22, a6, i8, iconst_2, i12, env, static) -{0,0}> round_NE_333(iconst_0, i22, a6, i8, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && 1 <= i8 && iconst_0 <= 1 && iconst_0 = 0 && 0 < a6 && 1 <= i22 && iconst_2 = 2
round_NE_333(iconst_0, i22, a6, i8, iconst_2, i12, env, static) -{1,1}> round_Load_351(i22, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i8 && iconst_0 = 0 && 0 < a6 && 1 <= i22 && iconst_2 = 2
round_Load_351(i22, a6, i8, iconst_2, i12, env, static) -{1,1}> round_Return_359(i22, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i8 && 0 < a6 && 1 <= i22 && iconst_2 = 2
round_Return_359(i22, a6, i8, iconst_2, i12, env, static) -{1,1}> main_Store_367(a6, i22, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i8 && 0 < a6 && 1 <= i22 && iconst_2 = 2
main_Store_367(a6, i22, i8, iconst_2, i12, env, static) -{1,1}> main_JMP_373(a6, i8, i22, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i8 && 0 < a6 && 1 <= i22 && iconst_2 = 2
main_JMP_373(a6, i8, i22, iconst_2, i12, env, static) -{0,0}> main_JMP_425(a6, i8, i22, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i8 && 0 < a6 && 1 <= i22 && iconst_2 = 2

obtained
main_JMP_425(a111, i8, i34, 2, i12, env, static) -{1,1}> main_Load_231(a111, i8, i34, 2, i12, env, static) :|: 0 < a111 && 1 <= i34 && 0 <= i34 && 2 <= i12 && 1 <= i8 && 0 <= i8
by chaining
main_JMP_425(a111, i8, i34, iconst_2, i12, env, static) -{1,1}> main_Load_428(a111, i8, i34, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i8 && 1 <= i34 && iconst_2 = 2 && 0 < a111
main_Load_428(a111, i8, i34, iconst_2, i12, env, static) -{0,0}> main_Load_231(a111, i8, i34, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i8 && 1 <= i34 && 0 <= i8 && 0 <= i34 && iconst_2 = 2 && 0 < a111

obtained
round_NE_324(1, i22, a6, i8, 2, i12, env, static) -{6,6}> main_JMP_425(a6, i8, i26', 2, i12, env, static) :|: i22 + 1 = i26' && 0 <= 1 && 0 < a6 && 2 <= i26' && 1 <= i8 && 2 <= i12 && 1 <= i26' && 0 < 1 && 1 <= 1 && 1 <= i22
by chaining
round_NE_324(iconst_1, i22, a6, i8, iconst_2, i12, env, static) -{0,0}> round_NE_332(iconst_1, i22, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && iconst_1 <= 1 && 0 <= iconst_1 && 1 <= i8 && iconst_1 = 1 && 0 < a6 && 1 <= i22 && iconst_2 = 2
round_NE_332(iconst_1, i22, a6, i8, iconst_2, i12, env, static) -{1,1}> round_Load_347(i22, a6, i8, iconst_2, i12, env, static) :|: 0 < iconst_1 && 2 <= i12 && 1 <= i8 && iconst_1 = 1 && 0 < a6 && 1 <= i22 && iconst_2 = 2
round_Load_347(i22, a6, i8, iconst_2, i12, env, static) -{1,1}> round_ConstantStackPush_358(i22, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i8 && 0 < a6 && 1 <= i22 && iconst_2 = 2
round_ConstantStackPush_358(i22, a6, i8, iconst_2, i12, env, static) -{1,1}> round_IntArithmetic_365(i22, iconst_1, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i8 && iconst_1 = 1 && 0 < a6 && 1 <= i22 && iconst_2 = 2
round_IntArithmetic_365(i22, iconst_1, a6, i8, iconst_2, i12, env, static) -{1,1}> round_Return_372(i26, a6, i8, iconst_2, i12, env, static) :|: i22 + iconst_1 = i26 && 2 <= i26 && 2 <= i12 && 1 <= i8 && iconst_1 = 1 && 0 < a6 && 1 <= i22 && iconst_2 = 2
round_Return_372(i26, a6, i8, iconst_2, i12, env, static) -{1,1}> main_Store_383(a6, i26, i8, iconst_2, i12, env, static) :|: 2 <= i26 && 2 <= i12 && 1 <= i8 && 0 < a6 && iconst_2 = 2
main_Store_383(a6, i26, i8, iconst_2, i12, env, static) -{1,1}> main_JMP_424(a6, i8, i26, iconst_2, i12, env, static) :|: 2 <= i26 && 2 <= i12 && 1 <= i8 && 0 < a6 && iconst_2 = 2
main_JMP_424(a6, i8, i26, iconst_2, i12, env, static) -{0,0}> main_JMP_425(a6, i8, i26, iconst_2, i12, env, static) :|: 2 <= i26 && 2 <= i12 && 1 <= i26 && 1 <= i8 && 0 < a6 && iconst_2 = 2

(22) Obligation:

IntTrs with 15 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 <= 2 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
random_ArrayAccess_70(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_71(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_70(a6, 0, i6, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1
random_InvokeMethod_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_197(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_197(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_207(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_197(o50, a6, i8, 2, i12, env, static) -{3,3}> main_Load_231(a6, i8, i20', 2, i12, env, static) :|: i20' <= o50 && 0 <= o50 && 0 <= i8 && 0 < a6 && 0 < o50 && 0 <= i20' && 2 <= i12
main_Load_231(a6, i8, i20, 2, i12, env, static) -{2,2}> main_LE_242(a6, i8, i20, 2, i12, env, static) :|: 0 <= i8 && 0 < a6 && 0 <= i20 && 2 <= i12
main_LE_242(a6, i8, i20, iconst_2, i12, env, static) -{0,0}> main_LE_246(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && i8 <= i20 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_LE_242(a6, i8, i20, 2, i12, env, static) -{8,8}> round_NE_324(i24', i22', a6, i8, 2, i12, env, static) :|: 0 <= i20 && i20 + 1 = i22' && 1 <= i22' && 1 <= i8 && i24' < 2 && 0 < a6 && 2 <= i12 && i24' <= 1 && 0 <= i8 && i20 < i8 && 0 <= i24'
round_NE_324(0, i22, a6, i8, 2, i12, env, static) -{4,4}> main_JMP_425(a6, i8, i22, 2, i12, env, static) :|: 0 <= 1 && 0 < a6 && 1 <= i22 && 2 <= i12 && 1 <= i8 && 0 <= 0
main_JMP_425(a111, i8, i34, 2, i12, env, static) -{1,1}> main_Load_231(a111, i8, i34, 2, i12, env, static) :|: 0 < a111 && 1 <= i34 && 0 <= i34 && 2 <= i12 && 1 <= i8 && 0 <= i8
round_NE_324(1, i22, a6, i8, 2, i12, env, static) -{6,6}> main_JMP_425(a6, i8, i26', 2, i12, env, static) :|: i22 + 1 = i26' && 0 <= 1 && 0 < a6 && 2 <= i26' && 1 <= i8 && 2 <= i12 && 1 <= i26' && 0 < 1 && 1 <= 1 && 1 <= i22

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

Moved arithmethic from lhss to constraints.

main_Load_231(a6, i8, i20, 2, i12, env, static) -{2,2}> main_LE_242(a6, i8, i20, 2, i12, env, static) :|: 0 <= i8 && 0 < a6 && 0 <= i20 && 2 <= i12
was transformed to
main_Load_231(a6, i8, i20, x, i12, env, static) -{2,2}> main_LE_242(a6, i8, i20, 2, i12, env, static) :|: 0 <= i8 && 0 < a6 && 0 <= i20 && 2 <= i12 && x = 2

random_ArrayAccess_143(a6, 1, i8, i12, env, static) -{7,7}> random_InvokeMethod_197(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_197(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

round_NE_324(1, i22, a6, i8, 2, i12, env, static) -{6,6}> main_JMP_425(a6, i8, i26', 2, i12, env, static) :|: i22 + 1 = i26' && 0 <= 1 && 0 < a6 && 2 <= i26' && 1 <= i8 && 2 <= i12 && 1 <= i26' && 0 < 1 && 1 <= 1 && 1 <= i22
was transformed to
round_NE_324(x, i22, a6, i8, x', i12, env, static) -{6,6}> main_JMP_425(a6, i8, i26', 2, i12, env, static) :|: i22 + 1 = i26' && 0 <= 1 && 0 < a6 && 2 <= i26' && 1 <= i8 && 2 <= i12 && 1 <= i26' && 0 < 1 && 1 <= 1 && 1 <= i22 && x = 1 && x' = 2

random_ArrayAccess_70(a6, 0, i6, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1
was transformed to
random_ArrayAccess_70(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0

main_LE_242(a6, i8, i20, 2, i12, env, static) -{8,8}> round_NE_324(i24', i22', a6, i8, 2, i12, env, static) :|: 0 <= i20 && i20 + 1 = i22' && 1 <= i22' && 1 <= i8 && i24' < 2 && 0 < a6 && 2 <= i12 && i24' <= 1 && 0 <= i8 && i20 < i8 && 0 <= i24'
was transformed to
main_LE_242(a6, i8, i20, x, i12, env, static) -{8,8}> round_NE_324(i24', i22', a6, i8, 2, i12, env, static) :|: 0 <= i20 && i20 + 1 = i22' && 1 <= i22' && 1 <= i8 && i24' < 2 && 0 < a6 && 2 <= i12 && i24' <= 1 && 0 <= i8 && i20 < i8 && 0 <= i24' && x = 2

random_InvokeMethod_197(o50, a6, i8, 2, i12, env, static) -{3,3}> main_Load_231(a6, i8, i20', 2, i12, env, static) :|: i20' <= o50 && 0 <= o50 && 0 <= i8 && 0 < a6 && 0 < o50 && 0 <= i20' && 2 <= i12
was transformed to
random_InvokeMethod_197(o50, a6, i8, x, i12, env, static) -{3,3}> main_Load_231(a6, i8, i20', 2, i12, env, static) :|: i20' <= o50 && 0 <= o50 && 0 <= i8 && 0 < a6 && 0 < o50 && 0 <= i20' && 2 <= i12 && x = 2

main_JMP_425(a111, i8, i34, 2, i12, env, static) -{1,1}> main_Load_231(a111, i8, i34, 2, i12, env, static) :|: 0 < a111 && 1 <= i34 && 0 <= i34 && 2 <= i12 && 1 <= i8 && 0 <= i8
was transformed to
main_JMP_425(a111, i8, i34, x, i12, env, static) -{1,1}> main_Load_231(a111, i8, i34, 2, i12, env, static) :|: 0 < a111 && 1 <= i34 && 0 <= i34 && 2 <= i12 && 1 <= i8 && 0 <= i8 && x = 2

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

round_NE_324(0, i22, a6, i8, 2, i12, env, static) -{4,4}> main_JMP_425(a6, i8, i22, 2, i12, env, static) :|: 0 <= 1 && 0 < a6 && 1 <= i22 && 2 <= i12 && 1 <= i8 && 0 <= 0
was transformed to
round_NE_324(x, i22, a6, i8, x', i12, env, static) -{4,4}> main_JMP_425(a6, i8, i22, 2, i12, env, static) :|: 0 <= 1 && 0 < a6 && 1 <= i22 && 2 <= i12 && 1 <= i8 && 0 <= 0 && x = 0 && x' = 2

(24) Obligation:

IntTrs with 15 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_LE_242(a6, i8, i20, iconst_2, i12, env, static) -{0,0}> main_LE_246(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && i8 <= i20 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Load_231(a6, i8, i20, x, i12, env, static) -{2,2}> main_LE_242(a6, i8, i20, 2, i12, env, static) :|: 0 <= i8 && 0 < a6 && 0 <= i20 && 2 <= i12 && x = 2
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_197(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
round_NE_324(x, i22, a6, i8, x', i12, env, static) -{6,6}> main_JMP_425(a6, i8, i26', 2, i12, env, static) :|: i22 + 1 = i26' && 0 <= 1 && 0 < a6 && 2 <= i26' && 1 <= i8 && 2 <= i12 && 1 <= i26' && 0 < 1 && 1 <= 1 && 1 <= i22 && x = 1 && x' = 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
random_ArrayAccess_70(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
main_LE_242(a6, i8, i20, x, i12, env, static) -{8,8}> round_NE_324(i24', i22', a6, i8, 2, i12, env, static) :|: 0 <= i20 && i20 + 1 = i22' && 1 <= i22' && 1 <= i8 && i24' < 2 && 0 < a6 && 2 <= i12 && i24' <= 1 && 0 <= i8 && i20 < i8 && 0 <= i24' && x = 2
random_InvokeMethod_197(o50, a6, i8, x, i12, env, static) -{3,3}> main_Load_231(a6, i8, i20', 2, i12, env, static) :|: i20' <= o50 && 0 <= o50 && 0 <= i8 && 0 < a6 && 0 < o50 && 0 <= i20' && 2 <= i12 && x = 2
random_InvokeMethod_197(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_207(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 <= 2 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
main_JMP_425(a111, i8, i34, x, i12, env, static) -{1,1}> main_Load_231(a111, i8, i34, 2, i12, env, static) :|: 0 < a111 && 1 <= i34 && 0 <= i34 && 2 <= i12 && 1 <= i8 && 0 <= i8 && 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
round_NE_324(x, i22, a6, i8, x', i12, env, static) -{4,4}> main_JMP_425(a6, i8, i22, 2, i12, env, static) :|: 0 <= 1 && 0 < a6 && 1 <= i22 && 2 <= i12 && 1 <= i8 && 0 <= 0 && x = 0 && x' = 2
random_ArrayAccess_70(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_71(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6

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

Linearized lhss.

random_ArrayAccess_143(a6, iconst_1, 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

random_ArrayAccess_70(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_71(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6
was transformed to
random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_71(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0

(26) Obligation:

IntTrs with 15 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_LE_242(a6, i8, i20, iconst_2, i12, env, static) -{0,0}> main_LE_246(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && i8 <= i20 && 0 < a6 && 0 <= i8 && iconst_2 = 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
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_197(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(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_ArrayAccess_70(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
main_LE_242(a6, i8, i20, x, i12, env, static) -{8,8}> round_NE_324(i24', i22', a6, i8, 2, i12, env, static) :|: 0 <= i20 && i20 + 1 = i22' && 1 <= i22' && 1 <= i8 && i24' < 2 && 0 < a6 && 2 <= i12 && i24' <= 1 && 0 <= i8 && i20 < i8 && 0 <= i24' && x = 2
main_JMP_425(a111, i8, i34, x, i12, env, static) -{1,1}> main_Load_231(a111, i8, i34, 2, i12, env, static) :|: 0 < a111 && 1 <= i34 && 0 <= i34 && 2 <= i12 && 1 <= i8 && 0 <= i8 && x = 2
random_InvokeMethod_197(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_207(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
round_NE_324(x, i22, a6, i8, x', i12, env, static) -{6,6}> main_JMP_425(a6, i8, i26', 2, i12, env, static) :|: i22 + 1 = i26' && 0 <= 1 && 0 < a6 && 2 <= i26' && 1 <= i8 && 2 <= i12 && 1 <= i26' && 0 < 1 && 1 <= 1 && 1 <= i22 && x = 1 && x' = 2
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 <= 2 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
main_Load_231(a6, i8, i20, x, i12, env, static) -{2,2}> main_LE_242(a6, i8, i20, 2, i12, env, static) :|: 0 <= i8 && 0 < a6 && 0 <= i20 && 2 <= i12 && x = 2
round_NE_324(x, i22, a6, i8, x', i12, env, static) -{4,4}> main_JMP_425(a6, i8, i22, 2, i12, env, static) :|: 0 <= 1 && 0 < a6 && 1 <= i22 && 2 <= i12 && 1 <= i8 && 0 <= 0 && x = 0 && x' = 2
random_InvokeMethod_197(o50, a6, i8, x, i12, env, static) -{3,3}> main_Load_231(a6, i8, i20', 2, i12, env, static) :|: i20' <= o50 && 0 <= o50 && 0 <= i8 && 0 < a6 && 0 < o50 && 0 <= i20' && 2 <= i12 && x = 2
random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_71(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0

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

Moved arithmethic from constraints to rhss.

main_LE_242(a6, i8, i20, iconst_2, i12, env, static) -{0,0}> main_LE_246(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && i8 <= i20 && 0 < a6 && 0 <= i8 && iconst_2 = 2
was transformed to
main_LE_242(a6, i8, i20, iconst_2, i12, env, static) -{0,0}> main_LE_246(a6, i8, i20, 2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && i8 <= i20 && 0 < a6 && 0 <= i8 && iconst_2 = 2

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_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_LE_242(a6, i8, i20, x, i12, env, static) -{8,8}> round_NE_324(i24', i22', a6, i8, 2, i12, env, static) :|: 0 <= i20 && i20 + 1 = i22' && 1 <= i22' && 1 <= i8 && i24' < 2 && 0 < a6 && 2 <= i12 && i24' <= 1 && 0 <= i8 && i20 < i8 && 0 <= i24' && x = 2
was transformed to
main_LE_242(a6, i8, i20, x, i12, env, static) -{8,8}> round_NE_324(i24', i20 + 1, a6, i8, 2, i12, env, static) :|: 0 <= i20 && i20 + 1 = i22' && 1 <= i22' && 1 <= i8 && i24' < 2 && 0 < a6 && 2 <= i12 && i24' <= 1 && 0 <= i8 && i20 < i8 && 0 <= i24' && x = 2

round_NE_324(x, i22, a6, i8, x', i12, env, static) -{6,6}> main_JMP_425(a6, i8, i26', 2, i12, env, static) :|: i22 + 1 = i26' && 0 <= 1 && 0 < a6 && 2 <= i26' && 1 <= i8 && 2 <= i12 && 1 <= i26' && 0 < 1 && 1 <= 1 && 1 <= i22 && x = 1 && x' = 2
was transformed to
round_NE_324(x, i22, a6, i8, x', i12, env, static) -{6,6}> main_JMP_425(a6, i8, i22 + 1, 2, i12, env, static) :|: i22 + 1 = i26' && 0 <= 1 && 0 < a6 && 2 <= i26' && 1 <= i8 && 2 <= i12 && 1 <= i26' && 0 < 1 && 1 <= 1 && 1 <= i22 && x = 1 && x' = 2

random_InvokeMethod_197(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_207(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_197(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_207(0, a6, i8, 2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2

random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_71(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
was transformed to
random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_71(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0

(28) Obligation:

IntTrs with 15 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_LE_242(a6, i8, i20, iconst_2, i12, env, static) -{0,0}> main_LE_246(a6, i8, i20, 2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && i8 <= i20 && 0 < a6 && 0 <= i8 && iconst_2 = 2
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_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_197(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(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_70(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
main_LE_242(a6, i8, i20, x, i12, env, static) -{8,8}> round_NE_324(i24', i20 + 1, a6, i8, 2, i12, env, static) :|: 0 <= i20 && i20 + 1 = i22' && 1 <= i22' && 1 <= i8 && i24' < 2 && 0 < a6 && 2 <= i12 && i24' <= 1 && 0 <= i8 && i20 < i8 && 0 <= i24' && x = 2
main_JMP_425(a111, i8, i34, x, i12, env, static) -{1,1}> main_Load_231(a111, i8, i34, 2, i12, env, static) :|: 0 < a111 && 1 <= i34 && 0 <= i34 && 2 <= i12 && 1 <= i8 && 0 <= i8 && x = 2
round_NE_324(x, i22, a6, i8, x', i12, env, static) -{6,6}> main_JMP_425(a6, i8, i22 + 1, 2, i12, env, static) :|: i22 + 1 = i26' && 0 <= 1 && 0 < a6 && 2 <= i26' && 1 <= i8 && 2 <= i12 && 1 <= i26' && 0 < 1 && 1 <= 1 && 1 <= i22 && x = 1 && x' = 2
random_InvokeMethod_197(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_207(0, a6, i8, 2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 <= 2 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
main_Load_231(a6, i8, i20, x, i12, env, static) -{2,2}> main_LE_242(a6, i8, i20, 2, i12, env, static) :|: 0 <= i8 && 0 < a6 && 0 <= i20 && 2 <= i12 && x = 2
round_NE_324(x, i22, a6, i8, x', i12, env, static) -{4,4}> main_JMP_425(a6, i8, i22, 2, i12, env, static) :|: 0 <= 1 && 0 < a6 && 1 <= i22 && 2 <= i12 && 1 <= i8 && 0 <= 0 && x = 0 && x' = 2
random_InvokeMethod_197(o50, a6, i8, x, i12, env, static) -{3,3}> main_Load_231(a6, i8, i20', 2, i12, env, static) :|: i20' <= o50 && 0 <= o50 && 0 <= i8 && 0 < a6 && 0 < o50 && 0 <= i20' && 2 <= i12 && x = 2
random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_71(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0

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

Simplified expressions.

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

round_NE_324(x, i22, a6, i8, x', i12, env, static) -{6,6}> main_JMP_425(a6, i8, i22 + 1, 2, i12, env, static) :|: i22 + 1 = i26' && 0 <= 1 && 0 < a6 && 2 <= i26' && 1 <= i8 && 2 <= i12 && 1 <= i26' && 0 < 1 && 1 <= 1 && 1 <= i22 && x = 1 && x' = 2
was transformed to
round_NE_324(x, i22, a6, i8, x', i12, env, static) -{6,6}> main_JMP_425(a6, i8, i22 + 1, 2, i12, env, static) :|: i22 + 1 = i26' && 0 < a6 && 2 <= i26' && 1 <= i8 && 2 <= i12 && 1 <= i26' && 1 <= i22 && x = 1 && x' = 2

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

round_NE_324(x, i22, a6, i8, x', i12, env, static) -{4,4}> main_JMP_425(a6, i8, i22, 2, i12, env, static) :|: 0 <= 1 && 0 < a6 && 1 <= i22 && 2 <= i12 && 1 <= i8 && 0 <= 0 && x = 0 && x' = 2
was transformed to
round_NE_324(x, i22, a6, i8, x', i12, env, static) -{4,4}> main_JMP_425(a6, i8, i22, 2, i12, env, static) :|: 0 < a6 && 1 <= i22 && 2 <= i12 && 1 <= i8 && x = 0 && x' = 2

random_InvokeMethod_197(o50, a6, i8, x, i12, env, static) -{3,3}> main_Load_231(a6, i8, i20', 2, i12, env, static) :|: i20' <= o50 && 0 <= o50 && 0 <= i8 && 0 < a6 && 0 < o50 && 0 <= i20' && 2 <= i12 && x = 2
was transformed to
random_InvokeMethod_197(o50, a6, i8, x, i12, env, static) -{3,3}> main_Load_231(a6, i8, i20', 2, i12, env, static) :|: i20' <= o50 && 0 <= i8 && 0 < a6 && 0 < o50 && 0 <= i20' && 2 <= i12 && x = 2

(30) Obligation:

IntTrs with 15 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_71(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
random_InvokeMethod_100(o12, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= i8' && i8' <= o12 && 0 < a6 && a6 <= static && 0 <= static && 1 <= static && -1 * static <= 1 && 1 <= i6 && 0 < o12 && x = 1
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_197(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
main_LE_242(a6, i8, i20, iconst_2, i12, env, static) -{0,0}> main_LE_246(a6, i8, i20, 2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && i8 <= i20 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_197(o50, a6, i8, x, i12, env, static) -{3,3}> main_Load_231(a6, i8, i20', 2, i12, env, static) :|: i20' <= o50 && 0 <= i8 && 0 < a6 && 0 < o50 && 0 <= i20' && 2 <= i12 && x = 2
random_ArrayAccess_70(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
main_JMP_425(a111, i8, i34, x, i12, env, static) -{1,1}> main_Load_231(a111, i8, i34, 2, i12, env, static) :|: 0 < a111 && 1 <= i34 && 0 <= i34 && 2 <= i12 && 1 <= i8 && 0 <= i8 && x = 2
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 <= static'3
round_NE_324(x, i22, a6, i8, x', i12, env, static) -{4,4}> main_JMP_425(a6, i8, i22, 2, i12, env, static) :|: 0 < a6 && 1 <= i22 && 2 <= i12 && 1 <= i8 && x = 0 && x' = 2
round_NE_324(x, i22, a6, i8, x', i12, env, static) -{6,6}> main_JMP_425(a6, i8, i22 + 1, 2, i12, env, static) :|: i22 + 1 = i26' && 0 < a6 && 2 <= i26' && 1 <= i8 && 2 <= i12 && 1 <= i26' && 1 <= i22 && x = 1 && x' = 2
main_LE_242(a6, i8, i20, x, i12, env, static) -{8,8}> round_NE_324(i24', i20 + 1, a6, i8, 2, i12, env, static) :|: 0 <= i20 && i20 + 1 = i22' && 1 <= i22' && 1 <= i8 && i24' < 2 && 0 < a6 && 2 <= i12 && i24' <= 1 && 0 <= i8 && i20 < i8 && 0 <= i24' && x = 2
main_Load_231(a6, i8, i20, x, i12, env, static) -{2,2}> main_LE_242(a6, i8, i20, 2, i12, env, static) :|: 0 <= i8 && 0 < a6 && 0 <= i20 && 2 <= i12 && 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_InvokeMethod_197(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_207(0, a6, i8, 2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
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

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

Extracted set of 88 edges for the analysis of TIME complexity. Dropped leaves.

(32) Obligation:

Set of 88 edges based on JBC Program.
Performed SCC analyses:

• Used field analysis yielded the following read fields:
  

Considered paths: all paths from start

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

Transformed 88 jbc graph edges to a weighted ITS with 88 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.

(34) Obligation:

IntTrs with 88 rules
Start term: main_Load_1(args, env, static)
Considered paths: all paths from start
Rules:
main_Load_1(o1, env, static) -{0,0}> main_Load_3(o1, env, static) :|: 0 < o1
main_Load_3(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_6(o1, env, static) :|: 0 < o1
langle_clinit_rangle_ConstantStackPush_6(o1, env, static) -{1,1}> langle_clinit_rangle_ArrayCreate_12(iconst_0, o1, env, static) :|: iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ArrayCreate_12(iconst_0, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_15(a2, o1, iconst_0, env, static) :|: a2 = 2 && iconst_0 = 0 && 0 < a2 && 0 < o1
langle_clinit_rangle_FieldAccess_15(a2, o1, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_17(o1, env, static') :|: 0 <= a2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2 && 0 < o1
langle_clinit_rangle_New_17(o1, env, static) -{0,0}> langle_clinit_rangle_New_18(o1, env, static) :|: 0 < o1
langle_clinit_rangle_New_18(o1, env, static) -{0,0}> langle_clinit_rangle_New_19(o1, env, static) :|: 0 <= static && 0 < o1
langle_clinit_rangle_New_19(o1, env, static) -{1,1}> langle_clinit_rangle_Duplicate_21(o4, o1, env, static) :|: o4 = 1 && 0 < o4 && 0 < o1
langle_clinit_rangle_Duplicate_21(o4, o1, env, static) -{1,1}> langle_clinit_rangle_ConstantStackPush_22(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_ConstantStackPush_22(o4, o1, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_24(o4, NULL, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_clinit_rangle_InvokeMethod_24(o4, NULL, o1, env, static) -{1,1}> langle_init_rangle_Load_25(o4, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_init_rangle_Load_25(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_28(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_28(o4, o1, env, static) -{1,1}> langle_init_rangle_Load_29(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Load_29(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_31(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_31(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_34(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_34(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_36(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_36(o4, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_39(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_FieldAccess_39(o4, o1, env, static) -{1,1}> langle_clinit_rangle_Return_40(o1, env, static') :|: 0 <= o4 && 0 < o4 && 0 <= static && 0 < o1 && static' <= static + o4
langle_clinit_rangle_Return_40(o1, env, static) -{1,1}> main_Load_46(o1, env, static) :|: 0 < o1
main_Load_46(o1, env, static) -{0,0}> main_Load_48(o1, env, static) :|: 0 < o1
main_Load_48(o1, env, static) -{0,0}> main_Load_51(o1, env, static) :|: 0 <= static && 0 < o1
main_Load_51(o1, env, static) -{0,0}> main_Load_53(o1, env, static) :|: 0 < o1
main_Load_53(o1, env, static) -{0,0}> main_Load_54(o1, env, static) :|: 0 < o1
main_Load_54(o1, env, static) -{1,1}> main_FieldAccess_57(o1, env, static) :|: 0 < o1
main_FieldAccess_57(o1, env, static) -{0,0}> main_FieldAccess_58(o1, env, static) :|: 0 < o1
main_FieldAccess_58(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_60(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ConstantStackPush_60(o1, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_62(iconst_0, o1, NULL, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_FieldAccess_62(iconst_0, o1, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_63(o1, NULL, iconst_0, env, static') :|: NULL = 0 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0 && 0 < o1
langle_clinit_rangle_Return_63(o1, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_64(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
main_FieldAccess_64(o1, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_65(o1, iconst_0, env, static') :|: static' <= static + o1 && NULL = 0 && 0 <= o1 && iconst_0 = 0 && 0 <= static && 0 < o1
main_InvokeMethod_65(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_66(o1, iconst_0, env, static) :|: iconst_0 = 0 && 0 < o1
random_FieldAccess_66(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_67(o1, iconst_0, env, static) :|: 0 <= o1 && o1 <= static && iconst_0 = 0 && 0 <= static && 0 < o1
random_FieldAccess_67(o1, iconst_0, env, static) -{1,1}> random_ArrayAccess_69(o1, iconst_0, env, static) :|: -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static && 0 < o1
random_ArrayAccess_69(a6, iconst_0, env, static) -{0,0}> random_ArrayAccess_70(a6, iconst_0, i4, env, static) :|: 0 <= i4 && iconst_0 = 0 && 0 < a6 && i4 < a6
random_ArrayAccess_70(a6, iconst_0, i6, env, static) -{0,0}> random_ArrayAccess_73(a6, iconst_0, i6, env, static) :|: 0 <= i6 && 1 <= i6 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_73(a6, iconst_0, i6, env, static) -{1,1}> random_Store_78(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && o8 < a6 && iconst_0 = 0 && 0 < a6
random_Store_78(o8, a6, iconst_0, i6, env, static) -{1,1}> random_FieldAccess_81(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_0 = 0 && 0 < a6
random_FieldAccess_81(o8, a6, iconst_0, i6, env, static) -{1,1}> random_ConstantStackPush_86(iconst_0, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && 0 < a6 && iconst_0 <= static
random_ConstantStackPush_86(iconst_0, o8, a6, i6, env, static) -{1,1}> random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i6, env, static) -{1,1}> random_FieldAccess_91(iconst_1, o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_FieldAccess_91(iconst_1, o8, a6, iconst_0, i6, env, static) -{1,1}> random_Load_95(o8, a6, iconst_1, i6, env, static') :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 <= static && 0 < a6 && static' <= static + iconst_1
random_Load_95(o8, a6, iconst_1, i6, env, static) -{1,1}> random_InvokeMethod_100(o8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && 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_108(i8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && i8 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_Return_108(i8, a6, iconst_1, i6, env, static) -{1,1}> main_Store_114(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_Store_114(a6, i8, iconst_1, i6, env, static) -{1,1}> main_InvokeMethod_119(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_InvokeMethod_119(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_123(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_FieldAccess_123(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_138(a6, i8, iconst_1, i6, env, static) :|: 0 <= a6 && 1 <= i6 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8
random_FieldAccess_138(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_154(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_FieldAccess_154(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_ConstantStackPush_164(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_164(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_IntArithmetic_168(iconst_1, o25, a6, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_IntArithmetic_168(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_FieldAccess_170(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_170(iconst_2, o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_Load_181(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_181(o25, a6, i8, iconst_2, i12, env, static) -{1,1}> random_InvokeMethod_197(o25, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2
random_InvokeMethod_197(o50, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_206(o50, a6, i8, iconst_2, i12, env, static) :|: 0 < o50 && 2 <= i12 && 0 <= o50 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_206(o50, a6, i8, iconst_2, i12, env, static) -{1,1}> random_Return_215(i20, a6, i8, iconst_2, i12, env, static) :|: 0 <= i20 && 0 < o50 && 2 <= i12 && 0 < a6 && 0 <= i8 && i20 <= o50 && iconst_2 = 2
random_Return_215(i20, a6, i8, iconst_2, i12, env, static) -{1,1}> main_Store_220(a6, i20, i8, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Store_220(a6, i20, i8, iconst_2, i12, env, static) -{1,1}> main_Load_231(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Load_231(a6, i8, i20, iconst_2, i12, env, static) -{1,1}> main_Load_237(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Load_237(a6, i8, i20, iconst_2, i12, env, static) -{1,1}> main_LE_242(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_LE_242(a6, i8, i20, iconst_2, i12, env, static) -{0,0}> main_LE_248(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && i20 < i8 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_LE_248(a6, i8, i20, iconst_2, i12, env, static) -{1,1}> main_Load_256(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && i20 < i8 && 1 <= i8 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Load_256(a6, i8, i20, iconst_2, i12, env, static) -{1,1}> main_ConstantStackPush_271(a6, i20, i8, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 1 <= i8 && 0 < a6 && iconst_2 = 2
main_ConstantStackPush_271(a6, i20, i8, iconst_2, i12, env, static) -{1,1}> main_IntArithmetic_276(a6, i20, iconst_1, i8, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 1 <= i8 && iconst_1 = 1 && 0 < a6 && iconst_2 = 2
main_IntArithmetic_276(a6, i20, iconst_1, i8, iconst_2, i12, env, static) -{1,1}> main_InvokeMethod_282(a6, i22, i8, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 1 <= i8 && iconst_1 = 1 && 0 < a6 && 1 <= i22 && iconst_2 = 2 && i20 + iconst_1 = i22
main_InvokeMethod_282(a6, i22, i8, iconst_2, i12, env, static) -{1,1}> round_Load_294(i22, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i8 && 0 < a6 && 1 <= i22 && iconst_2 = 2
round_Load_294(i22, a6, i8, iconst_2, i12, env, static) -{1,1}> round_ConstantStackPush_307(i22, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i8 && 0 < a6 && 1 <= i22 && iconst_2 = 2
round_ConstantStackPush_307(i22, a6, i8, iconst_2, i12, env, static) -{1,1}> round_IntArithmetic_314(i22, iconst_2, a6, i8, i12, env, static) :|: 2 <= i12 && 1 <= i8 && 0 < a6 && 1 <= i22 && iconst_2 = 2
round_IntArithmetic_314(i22, iconst_2, a6, i8, i12, env, static) -{1,1}> round_NE_324(i24, i22, a6, i8, iconst_2, i12, env, static) :|: 0 <= i24 && 2 <= i12 && i24 <= 1 && 1 <= i8 && 0 < a6 && i24 < iconst_2 && 1 <= i22 && iconst_2 = 2
round_NE_324(iconst_1, i22, a6, i8, iconst_2, i12, env, static) -{0,0}> round_NE_332(iconst_1, i22, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && iconst_1 <= 1 && 0 <= iconst_1 && 1 <= i8 && iconst_1 = 1 && 0 < a6 && 1 <= i22 && iconst_2 = 2
round_NE_324(iconst_0, i22, a6, i8, iconst_2, i12, env, static) -{0,0}> round_NE_333(iconst_0, i22, a6, i8, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && 1 <= i8 && iconst_0 <= 1 && iconst_0 = 0 && 0 < a6 && 1 <= i22 && iconst_2 = 2
round_NE_332(iconst_1, i22, a6, i8, iconst_2, i12, env, static) -{1,1}> round_Load_347(i22, a6, i8, iconst_2, i12, env, static) :|: 0 < iconst_1 && 2 <= i12 && 1 <= i8 && iconst_1 = 1 && 0 < a6 && 1 <= i22 && iconst_2 = 2
round_NE_333(iconst_0, i22, a6, i8, iconst_2, i12, env, static) -{1,1}> round_Load_351(i22, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i8 && iconst_0 = 0 && 0 < a6 && 1 <= i22 && iconst_2 = 2
round_Load_347(i22, a6, i8, iconst_2, i12, env, static) -{1,1}> round_ConstantStackPush_358(i22, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i8 && 0 < a6 && 1 <= i22 && iconst_2 = 2
round_Load_351(i22, a6, i8, iconst_2, i12, env, static) -{1,1}> round_Return_359(i22, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i8 && 0 < a6 && 1 <= i22 && iconst_2 = 2
round_ConstantStackPush_358(i22, a6, i8, iconst_2, i12, env, static) -{1,1}> round_IntArithmetic_365(i22, iconst_1, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i8 && iconst_1 = 1 && 0 < a6 && 1 <= i22 && iconst_2 = 2
round_Return_359(i22, a6, i8, iconst_2, i12, env, static) -{1,1}> main_Store_367(a6, i22, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i8 && 0 < a6 && 1 <= i22 && iconst_2 = 2
round_IntArithmetic_365(i22, iconst_1, a6, i8, iconst_2, i12, env, static) -{1,1}> round_Return_372(i26, a6, i8, iconst_2, i12, env, static) :|: i22 + iconst_1 = i26 && 2 <= i26 && 2 <= i12 && 1 <= i8 && iconst_1 = 1 && 0 < a6 && 1 <= i22 && iconst_2 = 2
main_Store_367(a6, i22, i8, iconst_2, i12, env, static) -{1,1}> main_JMP_373(a6, i8, i22, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i8 && 0 < a6 && 1 <= i22 && iconst_2 = 2
round_Return_372(i26, a6, i8, iconst_2, i12, env, static) -{1,1}> main_Store_383(a6, i26, i8, iconst_2, i12, env, static) :|: 2 <= i26 && 2 <= i12 && 1 <= i8 && 0 < a6 && iconst_2 = 2
main_JMP_373(a6, i8, i22, iconst_2, i12, env, static) -{0,0}> main_JMP_425(a6, i8, i22, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i8 && 0 < a6 && 1 <= i22 && iconst_2 = 2
main_Store_383(a6, i26, i8, iconst_2, i12, env, static) -{1,1}> main_JMP_424(a6, i8, i26, iconst_2, i12, env, static) :|: 2 <= i26 && 2 <= i12 && 1 <= i8 && 0 < a6 && iconst_2 = 2
main_JMP_424(a6, i8, i26, iconst_2, i12, env, static) -{0,0}> main_JMP_425(a6, i8, i26, iconst_2, i12, env, static) :|: 2 <= i26 && 2 <= i12 && 1 <= i26 && 1 <= i8 && 0 < a6 && iconst_2 = 2
main_JMP_425(a111, i8, i34, iconst_2, i12, env, static) -{1,1}> main_Load_428(a111, i8, i34, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i8 && 1 <= i34 && iconst_2 = 2 && 0 < a111
main_Load_428(a111, i8, i34, iconst_2, i12, env, static) -{0,0}> main_Load_231(a111, i8, i34, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i8 && 1 <= i34 && 0 <= i8 && 0 <= i34 && iconst_2 = 2 && 0 < a111

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

obtained
main_Load_1(o1, env, static) -{46,46}> main_Load_231(o1, i8', i20', 2, i4', env, static'5) :|: 0 < 1 && static'4 <= static'3 + 1 && 0 <= i8' && i20' <= o25' && 0 < o1 && 0 <= 1 && 0 <= i20' && 2 <= i4' && o25' < o1 && 0 <= i4' && 1 <= static'4 && 0 < o25' && 0 <= o8' && -1 * static'4 <= 1 && 0 <= static'3 && 0 < 2 && 0 <= static''' && 0 <= static && static'3 <= static'2 + o1 && 0 <= static'1 && static''' <= static + 2 && o1 <= static'3 && static'2 <= static'1 + 0 && -1 * static'3 <= 0 && i8' <= o8' && 0 <= o1 && 0 <= static'2 && 0 < o8' && 0 <= static'4 && o1 <= static'4 && o8' < o1 && 0 <= 2 && 0 <= o25' && static'1 <= static''' + 1 && i4' < o1 && 1 <= i4' && static'5 <= static'4 + 2
by chaining
main_Load_1(o1, env, static) -{0,0}> main_Load_3(o1, env, static) :|: 0 < o1
main_Load_3(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_6(o1, env, static) :|: 0 < o1
langle_clinit_rangle_ConstantStackPush_6(o1, env, static) -{1,1}> langle_clinit_rangle_ArrayCreate_12(iconst_0, o1, env, static) :|: iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ArrayCreate_12(iconst_0, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_15(a2, o1, iconst_0, env, static) :|: a2 = 2 && iconst_0 = 0 && 0 < a2 && 0 < o1
langle_clinit_rangle_FieldAccess_15(a2, o1, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_17(o1, env, static') :|: 0 <= a2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2 && 0 < o1
langle_clinit_rangle_New_17(o1, env, static) -{0,0}> langle_clinit_rangle_New_18(o1, env, static) :|: 0 < o1
langle_clinit_rangle_New_18(o1, env, static) -{0,0}> langle_clinit_rangle_New_19(o1, env, static) :|: 0 <= static && 0 < o1
langle_clinit_rangle_New_19(o1, env, static) -{1,1}> langle_clinit_rangle_Duplicate_21(o4, o1, env, static) :|: o4 = 1 && 0 < o4 && 0 < o1
langle_clinit_rangle_Duplicate_21(o4, o1, env, static) -{1,1}> langle_clinit_rangle_ConstantStackPush_22(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_ConstantStackPush_22(o4, o1, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_24(o4, NULL, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_clinit_rangle_InvokeMethod_24(o4, NULL, o1, env, static) -{1,1}> langle_init_rangle_Load_25(o4, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_init_rangle_Load_25(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_28(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_28(o4, o1, env, static) -{1,1}> langle_init_rangle_Load_29(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Load_29(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_31(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_31(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_34(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_34(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_36(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_36(o4, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_39(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_FieldAccess_39(o4, o1, env, static) -{1,1}> langle_clinit_rangle_Return_40(o1, env, static') :|: 0 <= o4 && 0 < o4 && 0 <= static && 0 < o1 && static' <= static + o4
langle_clinit_rangle_Return_40(o1, env, static) -{1,1}> main_Load_46(o1, env, static) :|: 0 < o1
main_Load_46(o1, env, static) -{0,0}> main_Load_48(o1, env, static) :|: 0 < o1
main_Load_48(o1, env, static) -{0,0}> main_Load_51(o1, env, static) :|: 0 <= static && 0 < o1
main_Load_51(o1, env, static) -{0,0}> main_Load_53(o1, env, static) :|: 0 < o1
main_Load_53(o1, env, static) -{0,0}> main_Load_54(o1, env, static) :|: 0 < o1
main_Load_54(o1, env, static) -{1,1}> main_FieldAccess_57(o1, env, static) :|: 0 < o1
main_FieldAccess_57(o1, env, static) -{0,0}> main_FieldAccess_58(o1, env, static) :|: 0 < o1
main_FieldAccess_58(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_60(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ConstantStackPush_60(o1, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_62(iconst_0, o1, NULL, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_FieldAccess_62(iconst_0, o1, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_63(o1, NULL, iconst_0, env, static') :|: NULL = 0 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0 && 0 < o1
langle_clinit_rangle_Return_63(o1, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_64(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
main_FieldAccess_64(o1, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_65(o1, iconst_0, env, static') :|: static' <= static + o1 && NULL = 0 && 0 <= o1 && iconst_0 = 0 && 0 <= static && 0 < o1
main_InvokeMethod_65(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_66(o1, iconst_0, env, static) :|: iconst_0 = 0 && 0 < o1
random_FieldAccess_66(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_67(o1, iconst_0, env, static) :|: 0 <= o1 && o1 <= static && iconst_0 = 0 && 0 <= static && 0 < o1
random_FieldAccess_67(o1, iconst_0, env, static) -{1,1}> random_ArrayAccess_69(o1, iconst_0, env, static) :|: -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static && 0 < o1
random_ArrayAccess_69(a6, iconst_0, env, static) -{0,0}> random_ArrayAccess_70(a6, iconst_0, i4, env, static) :|: 0 <= i4 && iconst_0 = 0 && 0 < a6 && i4 < a6
random_ArrayAccess_70(a6, iconst_0, i6, env, static) -{0,0}> random_ArrayAccess_73(a6, iconst_0, i6, env, static) :|: 0 <= i6 && 1 <= i6 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_73(a6, iconst_0, i6, env, static) -{1,1}> random_Store_78(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && o8 < a6 && iconst_0 = 0 && 0 < a6
random_Store_78(o8, a6, iconst_0, i6, env, static) -{1,1}> random_FieldAccess_81(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_0 = 0 && 0 < a6
random_FieldAccess_81(o8, a6, iconst_0, i6, env, static) -{1,1}> random_ConstantStackPush_86(iconst_0, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && 0 < a6 && iconst_0 <= static
random_ConstantStackPush_86(iconst_0, o8, a6, i6, env, static) -{1,1}> random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i6, env, static) -{1,1}> random_FieldAccess_91(iconst_1, o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_FieldAccess_91(iconst_1, o8, a6, iconst_0, i6, env, static) -{1,1}> random_Load_95(o8, a6, iconst_1, i6, env, static') :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 <= static && 0 < a6 && static' <= static + iconst_1
random_Load_95(o8, a6, iconst_1, i6, env, static) -{1,1}> random_InvokeMethod_100(o8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && 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_108(i8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && i8 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_Return_108(i8, a6, iconst_1, i6, env, static) -{1,1}> main_Store_114(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_Store_114(a6, i8, iconst_1, i6, env, static) -{1,1}> main_InvokeMethod_119(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_InvokeMethod_119(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_123(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_FieldAccess_123(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_138(a6, i8, iconst_1, i6, env, static) :|: 0 <= a6 && 1 <= i6 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8
random_FieldAccess_138(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_154(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_FieldAccess_154(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_ConstantStackPush_164(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_164(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_IntArithmetic_168(iconst_1, o25, a6, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_IntArithmetic_168(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_FieldAccess_170(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_170(iconst_2, o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_Load_181(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_181(o25, a6, i8, iconst_2, i12, env, static) -{1,1}> random_InvokeMethod_197(o25, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2
random_InvokeMethod_197(o50, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_206(o50, a6, i8, iconst_2, i12, env, static) :|: 0 < o50 && 2 <= i12 && 0 <= o50 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_206(o50, a6, i8, iconst_2, i12, env, static) -{1,1}> random_Return_215(i20, a6, i8, iconst_2, i12, env, static) :|: 0 <= i20 && 0 < o50 && 2 <= i12 && 0 < a6 && 0 <= i8 && i20 <= o50 && iconst_2 = 2
random_Return_215(i20, a6, i8, iconst_2, i12, env, static) -{1,1}> main_Store_220(a6, i20, i8, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Store_220(a6, i20, i8, iconst_2, i12, env, static) -{1,1}> main_Load_231(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2

obtained
main_Load_231(a6, i8, i20, 2, i12, env, static) -{10,10}> round_NE_324(i24', i22', a6, i8, 2, i12, env, static) :|: 0 <= i20 && i20 + 1 = i22' && 1 <= i22' && 1 <= i8 && i24' < 2 && 0 < a6 && 2 <= i12 && i24' <= 1 && i20 < i8 && 0 <= i8 && 0 <= i24'
by chaining
main_Load_231(a6, i8, i20, iconst_2, i12, env, static) -{1,1}> main_Load_237(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Load_237(a6, i8, i20, iconst_2, i12, env, static) -{1,1}> main_LE_242(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_LE_242(a6, i8, i20, iconst_2, i12, env, static) -{0,0}> main_LE_248(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && i20 < i8 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_LE_248(a6, i8, i20, iconst_2, i12, env, static) -{1,1}> main_Load_256(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && i20 < i8 && 1 <= i8 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Load_256(a6, i8, i20, iconst_2, i12, env, static) -{1,1}> main_ConstantStackPush_271(a6, i20, i8, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 1 <= i8 && 0 < a6 && iconst_2 = 2
main_ConstantStackPush_271(a6, i20, i8, iconst_2, i12, env, static) -{1,1}> main_IntArithmetic_276(a6, i20, iconst_1, i8, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 1 <= i8 && iconst_1 = 1 && 0 < a6 && iconst_2 = 2
main_IntArithmetic_276(a6, i20, iconst_1, i8, iconst_2, i12, env, static) -{1,1}> main_InvokeMethod_282(a6, i22, i8, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 1 <= i8 && iconst_1 = 1 && 0 < a6 && 1 <= i22 && iconst_2 = 2 && i20 + iconst_1 = i22
main_InvokeMethod_282(a6, i22, i8, iconst_2, i12, env, static) -{1,1}> round_Load_294(i22, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i8 && 0 < a6 && 1 <= i22 && iconst_2 = 2
round_Load_294(i22, a6, i8, iconst_2, i12, env, static) -{1,1}> round_ConstantStackPush_307(i22, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i8 && 0 < a6 && 1 <= i22 && iconst_2 = 2
round_ConstantStackPush_307(i22, a6, i8, iconst_2, i12, env, static) -{1,1}> round_IntArithmetic_314(i22, iconst_2, a6, i8, i12, env, static) :|: 2 <= i12 && 1 <= i8 && 0 < a6 && 1 <= i22 && iconst_2 = 2
round_IntArithmetic_314(i22, iconst_2, a6, i8, i12, env, static) -{1,1}> round_NE_324(i24, i22, a6, i8, iconst_2, i12, env, static) :|: 0 <= i24 && 2 <= i12 && i24 <= 1 && 1 <= i8 && 0 < a6 && i24 < iconst_2 && 1 <= i22 && iconst_2 = 2

obtained
round_NE_324(0, i22, a6, i8, 2, i12, env, static) -{4,4}> main_JMP_425(a6, i8, i22, 2, i12, env, static) :|: 0 <= 1 && 0 < a6 && 1 <= i22 && 2 <= i12 && 1 <= i8 && 0 <= 0
by chaining
round_NE_324(iconst_0, i22, a6, i8, iconst_2, i12, env, static) -{0,0}> round_NE_333(iconst_0, i22, a6, i8, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && 1 <= i8 && iconst_0 <= 1 && iconst_0 = 0 && 0 < a6 && 1 <= i22 && iconst_2 = 2
round_NE_333(iconst_0, i22, a6, i8, iconst_2, i12, env, static) -{1,1}> round_Load_351(i22, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i8 && iconst_0 = 0 && 0 < a6 && 1 <= i22 && iconst_2 = 2
round_Load_351(i22, a6, i8, iconst_2, i12, env, static) -{1,1}> round_Return_359(i22, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i8 && 0 < a6 && 1 <= i22 && iconst_2 = 2
round_Return_359(i22, a6, i8, iconst_2, i12, env, static) -{1,1}> main_Store_367(a6, i22, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i8 && 0 < a6 && 1 <= i22 && iconst_2 = 2
main_Store_367(a6, i22, i8, iconst_2, i12, env, static) -{1,1}> main_JMP_373(a6, i8, i22, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i8 && 0 < a6 && 1 <= i22 && iconst_2 = 2
main_JMP_373(a6, i8, i22, iconst_2, i12, env, static) -{0,0}> main_JMP_425(a6, i8, i22, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i8 && 0 < a6 && 1 <= i22 && iconst_2 = 2

obtained
main_JMP_425(a111, i8, i34, 2, i12, env, static) -{1,1}> main_Load_231(a111, i8, i34, 2, i12, env, static) :|: 0 < a111 && 1 <= i34 && 0 <= i34 && 2 <= i12 && 1 <= i8 && 0 <= i8
by chaining
main_JMP_425(a111, i8, i34, iconst_2, i12, env, static) -{1,1}> main_Load_428(a111, i8, i34, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i8 && 1 <= i34 && iconst_2 = 2 && 0 < a111
main_Load_428(a111, i8, i34, iconst_2, i12, env, static) -{0,0}> main_Load_231(a111, i8, i34, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i8 && 1 <= i34 && 0 <= i8 && 0 <= i34 && iconst_2 = 2 && 0 < a111

obtained
round_NE_324(1, i22, a6, i8, 2, i12, env, static) -{6,6}> main_JMP_425(a6, i8, i26', 2, i12, env, static) :|: i22 + 1 = i26' && 0 <= 1 && 0 < a6 && 2 <= i26' && 1 <= i8 && 2 <= i12 && 1 <= i26' && 0 < 1 && 1 <= 1 && 1 <= i22
by chaining
round_NE_324(iconst_1, i22, a6, i8, iconst_2, i12, env, static) -{0,0}> round_NE_332(iconst_1, i22, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && iconst_1 <= 1 && 0 <= iconst_1 && 1 <= i8 && iconst_1 = 1 && 0 < a6 && 1 <= i22 && iconst_2 = 2
round_NE_332(iconst_1, i22, a6, i8, iconst_2, i12, env, static) -{1,1}> round_Load_347(i22, a6, i8, iconst_2, i12, env, static) :|: 0 < iconst_1 && 2 <= i12 && 1 <= i8 && iconst_1 = 1 && 0 < a6 && 1 <= i22 && iconst_2 = 2
round_Load_347(i22, a6, i8, iconst_2, i12, env, static) -{1,1}> round_ConstantStackPush_358(i22, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i8 && 0 < a6 && 1 <= i22 && iconst_2 = 2
round_ConstantStackPush_358(i22, a6, i8, iconst_2, i12, env, static) -{1,1}> round_IntArithmetic_365(i22, iconst_1, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i8 && iconst_1 = 1 && 0 < a6 && 1 <= i22 && iconst_2 = 2
round_IntArithmetic_365(i22, iconst_1, a6, i8, iconst_2, i12, env, static) -{1,1}> round_Return_372(i26, a6, i8, iconst_2, i12, env, static) :|: i22 + iconst_1 = i26 && 2 <= i26 && 2 <= i12 && 1 <= i8 && iconst_1 = 1 && 0 < a6 && 1 <= i22 && iconst_2 = 2
round_Return_372(i26, a6, i8, iconst_2, i12, env, static) -{1,1}> main_Store_383(a6, i26, i8, iconst_2, i12, env, static) :|: 2 <= i26 && 2 <= i12 && 1 <= i8 && 0 < a6 && iconst_2 = 2
main_Store_383(a6, i26, i8, iconst_2, i12, env, static) -{1,1}> main_JMP_424(a6, i8, i26, iconst_2, i12, env, static) :|: 2 <= i26 && 2 <= i12 && 1 <= i8 && 0 < a6 && iconst_2 = 2
main_JMP_424(a6, i8, i26, iconst_2, i12, env, static) -{0,0}> main_JMP_425(a6, i8, i26, iconst_2, i12, env, static) :|: 2 <= i26 && 2 <= i12 && 1 <= i26 && 1 <= i8 && 0 < a6 && iconst_2 = 2

(36) Obligation:

IntTrs with 5 rules
Start term: main_Load_1(args, env, static)
Considered paths: all paths from start
Rules:
main_Load_1(o1, env, static) -{46,46}> main_Load_231(o1, i8', i20', 2, i4', env, static'5) :|: 0 < 1 && static'4 <= static'3 + 1 && 0 <= i8' && i20' <= o25' && 0 < o1 && 0 <= 1 && 0 <= i20' && 2 <= i4' && o25' < o1 && 0 <= i4' && 1 <= static'4 && 0 < o25' && 0 <= o8' && -1 * static'4 <= 1 && 0 <= static'3 && 0 < 2 && 0 <= static''' && 0 <= static && static'3 <= static'2 + o1 && 0 <= static'1 && static''' <= static + 2 && o1 <= static'3 && static'2 <= static'1 + 0 && -1 * static'3 <= 0 && i8' <= o8' && 0 <= o1 && 0 <= static'2 && 0 < o8' && 0 <= static'4 && o1 <= static'4 && o8' < o1 && 0 <= 2 && 0 <= o25' && static'1 <= static''' + 1 && i4' < o1 && 1 <= i4' && static'5 <= static'4 + 2
main_Load_231(a6, i8, i20, 2, i12, env, static) -{10,10}> round_NE_324(i24', i22', a6, i8, 2, i12, env, static) :|: 0 <= i20 && i20 + 1 = i22' && 1 <= i22' && 1 <= i8 && i24' < 2 && 0 < a6 && 2 <= i12 && i24' <= 1 && i20 < i8 && 0 <= i8 && 0 <= i24'
round_NE_324(0, i22, a6, i8, 2, i12, env, static) -{4,4}> main_JMP_425(a6, i8, i22, 2, i12, env, static) :|: 0 <= 1 && 0 < a6 && 1 <= i22 && 2 <= i12 && 1 <= i8 && 0 <= 0
main_JMP_425(a111, i8, i34, 2, i12, env, static) -{1,1}> main_Load_231(a111, i8, i34, 2, i12, env, static) :|: 0 < a111 && 1 <= i34 && 0 <= i34 && 2 <= i12 && 1 <= i8 && 0 <= i8
round_NE_324(1, i22, a6, i8, 2, i12, env, static) -{6,6}> main_JMP_425(a6, i8, i26', 2, i12, env, static) :|: i22 + 1 = i26' && 0 <= 1 && 0 < a6 && 2 <= i26' && 1 <= i8 && 2 <= i12 && 1 <= i26' && 0 < 1 && 1 <= 1 && 1 <= i22

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

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

main_Load_1(x1, x2, x3) → main_Load_1(x1, x3)
main_Load_231(x1, x2, x3, x4, x5, x6, x7) → main_Load_231(x1, x2, x3, x5)
round_NE_324(x1, x2, x3, x4, x5, x6, x7, x8) → round_NE_324(x1, x2, x3, x4, x6)
main_JMP_425(x1, x2, x3, x4, x5, x6, x7) → main_JMP_425(x1, x2, x3, x5)

(38) Obligation:

IntTrs with 5 rules
Start term: main_Load_1(args, static)
Considered paths: all paths from start
Rules:
main_Load_1(o1, static) -{46,46}> main_Load_231(o1, i8', i20', i4') :|: 0 < 1 && static'4 <= static'3 + 1 && 0 <= i8' && i20' <= o25' && 0 < o1 && 0 <= 1 && 0 <= i20' && 2 <= i4' && o25' < o1 && 0 <= i4' && 1 <= static'4 && 0 < o25' && 0 <= o8' && -1 * static'4 <= 1 && 0 <= static'3 && 0 < 2 && 0 <= static''' && 0 <= static && static'3 <= static'2 + o1 && 0 <= static'1 && static''' <= static + 2 && o1 <= static'3 && static'2 <= static'1 + 0 && -1 * static'3 <= 0 && i8' <= o8' && 0 <= o1 && 0 <= static'2 && 0 < o8' && 0 <= static'4 && o1 <= static'4 && o8' < o1 && 0 <= 2 && 0 <= o25' && static'1 <= static''' + 1 && i4' < o1 && 1 <= i4' && static'5 <= static'4 + 2
main_Load_231(a6, i8, i20, i12) -{10,10}> round_NE_324(i24', i22', a6, i8, i12) :|: 0 <= i20 && i20 + 1 = i22' && 1 <= i22' && 1 <= i8 && i24' < 2 && 0 < a6 && 2 <= i12 && i24' <= 1 && i20 < i8 && 0 <= i8 && 0 <= i24'
round_NE_324(0, i22, a6, i8, i12) -{4,4}> main_JMP_425(a6, i8, i22, i12) :|: 0 <= 1 && 0 < a6 && 1 <= i22 && 2 <= i12 && 1 <= i8 && 0 <= 0
main_JMP_425(a111, i8, i34, i12) -{1,1}> main_Load_231(a111, i8, i34, i12) :|: 0 < a111 && 1 <= i34 && 0 <= i34 && 2 <= i12 && 1 <= i8 && 0 <= i8
round_NE_324(1, i22, a6, i8, i12) -{6,6}> main_JMP_425(a6, i8, i26', i12) :|: i22 + 1 = i26' && 0 <= 1 && 0 < a6 && 2 <= i26' && 1 <= i8 && 2 <= i12 && 1 <= i26' && 0 < 1 && 1 <= 1 && 1 <= i22

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

Moved arithmethic from lhss to constraints.

round_NE_324(1, i22, a6, i8, i12) -{6,6}> main_JMP_425(a6, i8, i26', i12) :|: i22 + 1 = i26' && 0 <= 1 && 0 < a6 && 2 <= i26' && 1 <= i8 && 2 <= i12 && 1 <= i26' && 0 < 1 && 1 <= 1 && 1 <= i22
was transformed to
round_NE_324(x, i22, a6, i8, i12) -{6,6}> main_JMP_425(a6, i8, i26', i12) :|: i22 + 1 = i26' && 0 <= 1 && 0 < a6 && 2 <= i26' && 1 <= i8 && 2 <= i12 && 1 <= i26' && 0 < 1 && 1 <= 1 && 1 <= i22 && x = 1

round_NE_324(0, i22, a6, i8, i12) -{4,4}> main_JMP_425(a6, i8, i22, i12) :|: 0 <= 1 && 0 < a6 && 1 <= i22 && 2 <= i12 && 1 <= i8 && 0 <= 0
was transformed to
round_NE_324(x, i22, a6, i8, i12) -{4,4}> main_JMP_425(a6, i8, i22, i12) :|: 0 <= 1 && 0 < a6 && 1 <= i22 && 2 <= i12 && 1 <= i8 && 0 <= 0 && x = 0

(40) Obligation:

IntTrs with 5 rules
Start term: main_Load_1(args, static)
Considered paths: all paths from start
Rules:
round_NE_324(x, i22, a6, i8, i12) -{6,6}> main_JMP_425(a6, i8, i26', i12) :|: i22 + 1 = i26' && 0 <= 1 && 0 < a6 && 2 <= i26' && 1 <= i8 && 2 <= i12 && 1 <= i26' && 0 < 1 && 1 <= 1 && 1 <= i22 && x = 1
main_Load_231(a6, i8, i20, i12) -{10,10}> round_NE_324(i24', i22', a6, i8, i12) :|: 0 <= i20 && i20 + 1 = i22' && 1 <= i22' && 1 <= i8 && i24' < 2 && 0 < a6 && 2 <= i12 && i24' <= 1 && i20 < i8 && 0 <= i8 && 0 <= i24'
round_NE_324(x, i22, a6, i8, i12) -{4,4}> main_JMP_425(a6, i8, i22, i12) :|: 0 <= 1 && 0 < a6 && 1 <= i22 && 2 <= i12 && 1 <= i8 && 0 <= 0 && x = 0
main_Load_1(o1, static) -{46,46}> main_Load_231(o1, i8', i20', i4') :|: 0 < 1 && static'4 <= static'3 + 1 && 0 <= i8' && i20' <= o25' && 0 < o1 && 0 <= 1 && 0 <= i20' && 2 <= i4' && o25' < o1 && 0 <= i4' && 1 <= static'4 && 0 < o25' && 0 <= o8' && -1 * static'4 <= 1 && 0 <= static'3 && 0 < 2 && 0 <= static''' && 0 <= static && static'3 <= static'2 + o1 && 0 <= static'1 && static''' <= static + 2 && o1 <= static'3 && static'2 <= static'1 + 0 && -1 * static'3 <= 0 && i8' <= o8' && 0 <= o1 && 0 <= static'2 && 0 < o8' && 0 <= static'4 && o1 <= static'4 && o8' < o1 && 0 <= 2 && 0 <= o25' && static'1 <= static''' + 1 && i4' < o1 && 1 <= i4' && static'5 <= static'4 + 2
main_JMP_425(a111, i8, i34, i12) -{1,1}> main_Load_231(a111, i8, i34, i12) :|: 0 < a111 && 1 <= i34 && 0 <= i34 && 2 <= i12 && 1 <= i8 && 0 <= i8

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

Moved arithmethic from constraints to rhss.

round_NE_324(x, i22, a6, i8, i12) -{6,6}> main_JMP_425(a6, i8, i26', i12) :|: i22 + 1 = i26' && 0 <= 1 && 0 < a6 && 2 <= i26' && 1 <= i8 && 2 <= i12 && 1 <= i26' && 0 < 1 && 1 <= 1 && 1 <= i22 && x = 1
was transformed to
round_NE_324(x, i22, a6, i8, i12) -{6,6}> main_JMP_425(a6, i8, i22 + 1, i12) :|: i22 + 1 = i26' && 0 <= 1 && 0 < a6 && 2 <= i26' && 1 <= i8 && 2 <= i12 && 1 <= i26' && 0 < 1 && 1 <= 1 && 1 <= i22 && x = 1

main_Load_231(a6, i8, i20, i12) -{10,10}> round_NE_324(i24', i22', a6, i8, i12) :|: 0 <= i20 && i20 + 1 = i22' && 1 <= i22' && 1 <= i8 && i24' < 2 && 0 < a6 && 2 <= i12 && i24' <= 1 && i20 < i8 && 0 <= i8 && 0 <= i24'
was transformed to
main_Load_231(a6, i8, i20, i12) -{10,10}> round_NE_324(i24', i20 + 1, a6, i8, i12) :|: 0 <= i20 && i20 + 1 = i22' && 1 <= i22' && 1 <= i8 && i24' < 2 && 0 < a6 && 2 <= i12 && i24' <= 1 && i20 < i8 && 0 <= i8 && 0 <= i24'

(42) Obligation:

IntTrs with 5 rules
Start term: main_Load_1(args, static)
Considered paths: all paths from start
Rules:
round_NE_324(x, i22, a6, i8, i12) -{6,6}> main_JMP_425(a6, i8, i22 + 1, i12) :|: i22 + 1 = i26' && 0 <= 1 && 0 < a6 && 2 <= i26' && 1 <= i8 && 2 <= i12 && 1 <= i26' && 0 < 1 && 1 <= 1 && 1 <= i22 && x = 1
main_Load_231(a6, i8, i20, i12) -{10,10}> round_NE_324(i24', i20 + 1, a6, i8, i12) :|: 0 <= i20 && i20 + 1 = i22' && 1 <= i22' && 1 <= i8 && i24' < 2 && 0 < a6 && 2 <= i12 && i24' <= 1 && i20 < i8 && 0 <= i8 && 0 <= i24'
main_Load_1(o1, static) -{46,46}> main_Load_231(o1, i8', i20', i4') :|: 0 < 1 && static'4 <= static'3 + 1 && 0 <= i8' && i20' <= o25' && 0 < o1 && 0 <= 1 && 0 <= i20' && 2 <= i4' && o25' < o1 && 0 <= i4' && 1 <= static'4 && 0 < o25' && 0 <= o8' && -1 * static'4 <= 1 && 0 <= static'3 && 0 < 2 && 0 <= static''' && 0 <= static && static'3 <= static'2 + o1 && 0 <= static'1 && static''' <= static + 2 && o1 <= static'3 && static'2 <= static'1 + 0 && -1 * static'3 <= 0 && i8' <= o8' && 0 <= o1 && 0 <= static'2 && 0 < o8' && 0 <= static'4 && o1 <= static'4 && o8' < o1 && 0 <= 2 && 0 <= o25' && static'1 <= static''' + 1 && i4' < o1 && 1 <= i4' && static'5 <= static'4 + 2
main_JMP_425(a111, i8, i34, i12) -{1,1}> main_Load_231(a111, i8, i34, i12) :|: 0 < a111 && 1 <= i34 && 0 <= i34 && 2 <= i12 && 1 <= i8 && 0 <= i8
round_NE_324(x, i22, a6, i8, i12) -{4,4}> main_JMP_425(a6, i8, i22, i12) :|: 0 <= 1 && 0 < a6 && 1 <= i22 && 2 <= i12 && 1 <= i8 && 0 <= 0 && x = 0

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

Simplified expressions.

main_Load_1(o1, static) -{46,46}> main_Load_231(o1, i8', i20', i4') :|: 0 < 1 && static'4 <= static'3 + 1 && 0 <= i8' && i20' <= o25' && 0 < o1 && 0 <= 1 && 0 <= i20' && 2 <= i4' && o25' < o1 && 0 <= i4' && 1 <= static'4 && 0 < o25' && 0 <= o8' && -1 * static'4 <= 1 && 0 <= static'3 && 0 < 2 && 0 <= static''' && 0 <= static && static'3 <= static'2 + o1 && 0 <= static'1 && static''' <= static + 2 && o1 <= static'3 && static'2 <= static'1 + 0 && -1 * static'3 <= 0 && i8' <= o8' && 0 <= o1 && 0 <= static'2 && 0 < o8' && 0 <= static'4 && o1 <= static'4 && o8' < o1 && 0 <= 2 && 0 <= o25' && static'1 <= static''' + 1 && i4' < o1 && 1 <= i4' && static'5 <= static'4 + 2
was transformed to
main_Load_1(o1, static) -{46,46}> main_Load_231(o1, i8', i20', i4') :|: static'4 <= static'3 + 1 && 0 <= i8' && i20' <= o25' && 0 < o1 && 0 <= i20' && 2 <= i4' && o25' < o1 && 0 <= i4' && 1 <= static'4 && 0 < o25' && -1 * static'4 <= 1 && 0 <= static'3 && 0 <= static''' && 0 <= static && static'3 <= static'2 + o1 && 0 <= static'1 && static''' <= static + 2 && o1 <= static'3 && static'2 <= static'1 && -1 * static'3 <= 0 && i8' <= o8' && 0 <= static'2 && 0 < o8' && 0 <= static'4 && o1 <= static'4 && o8' < o1 && static'1 <= static''' + 1 && i4' < o1 && 1 <= i4' && static'5 <= static'4 + 2

round_NE_324(x, i22, a6, i8, i12) -{4,4}> main_JMP_425(a6, i8, i22, i12) :|: 0 <= 1 && 0 < a6 && 1 <= i22 && 2 <= i12 && 1 <= i8 && 0 <= 0 && x = 0
was transformed to
round_NE_324(x, i22, a6, i8, i12) -{4,4}> main_JMP_425(a6, i8, i22, i12) :|: 0 < a6 && 1 <= i22 && 2 <= i12 && 1 <= i8 && x = 0

round_NE_324(x, i22, a6, i8, i12) -{6,6}> main_JMP_425(a6, i8, i22 + 1, i12) :|: i22 + 1 = i26' && 0 <= 1 && 0 < a6 && 2 <= i26' && 1 <= i8 && 2 <= i12 && 1 <= i26' && 0 < 1 && 1 <= 1 && 1 <= i22 && x = 1
was transformed to
round_NE_324(x, i22, a6, i8, i12) -{6,6}> main_JMP_425(a6, i8, i22 + 1, i12) :|: i22 + 1 = i26' && 0 < a6 && 2 <= i26' && 1 <= i8 && 2 <= i12 && 1 <= i26' && 1 <= i22 && x = 1

(44) Obligation:

IntTrs with 5 rules
Start term: main_Load_1(args, static)
Considered paths: all paths from start
Rules:
main_Load_1(o1, static) -{46,46}> main_Load_231(o1, i8', i20', i4') :|: static'4 <= static'3 + 1 && 0 <= i8' && i20' <= o25' && 0 < o1 && 0 <= i20' && 2 <= i4' && o25' < o1 && 0 <= i4' && 1 <= static'4 && 0 < o25' && -1 * static'4 <= 1 && 0 <= static'3 && 0 <= static''' && 0 <= static && static'3 <= static'2 + o1 && 0 <= static'1 && static''' <= static + 2 && o1 <= static'3 && static'2 <= static'1 && -1 * static'3 <= 0 && i8' <= o8' && 0 <= static'2 && 0 < o8' && 0 <= static'4 && o1 <= static'4 && o8' < o1 && static'1 <= static''' + 1 && i4' < o1 && 1 <= i4' && static'5 <= static'4 + 2
round_NE_324(x, i22, a6, i8, i12) -{4,4}> main_JMP_425(a6, i8, i22, i12) :|: 0 < a6 && 1 <= i22 && 2 <= i12 && 1 <= i8 && x = 0
main_Load_231(a6, i8, i20, i12) -{10,10}> round_NE_324(i24', i20 + 1, a6, i8, i12) :|: 0 <= i20 && i20 + 1 = i22' && 1 <= i22' && 1 <= i8 && i24' < 2 && 0 < a6 && 2 <= i12 && i24' <= 1 && i20 < i8 && 0 <= i8 && 0 <= i24'
round_NE_324(x, i22, a6, i8, i12) -{6,6}> main_JMP_425(a6, i8, i22 + 1, i12) :|: i22 + 1 = i26' && 0 < a6 && 2 <= i26' && 1 <= i8 && 2 <= i12 && 1 <= i26' && 1 <= i22 && x = 1
main_JMP_425(a111, i8, i34, i12) -{1,1}> main_Load_231(a111, i8, i34, i12) :|: 0 < a111 && 1 <= i34 && 0 <= i34 && 2 <= i12 && 1 <= i8 && 0 <= i8

(45) koat Proof (EQUIVALENT transformation)

YES(?, 22*ar_0 + 46)

Initial complexity problem:
1: T:
(Comp: ?, Cost: 46) main_Load_1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_231(ar_0, i8', i20', i4', arityPad)) [ static'4 <= static'3 + 1 /\ 0 <= i8' /\ i20' <= o25' /\ 0 < ar_0 /\ 0 <= i20' /\ 2 <= i4' /\ o25' < ar_0 /\ 0 <= i4' /\ 1 <= static'4 /\ 0 < o25' /\ -static'4 <= 1 /\ 0 <= static'3 /\ 0 <= static''' /\ 0 <= ar_1 /\ static'3 <= static'2 + ar_0 /\ 0 <= static'1 /\ static''' <= ar_1 + 2 /\ ar_0 <= static'3 /\ static'2 <= static'1 /\ -static'3 <= 0 /\ i8' <= o8' /\ 0 <= static'2 /\ 0 < o8' /\ 0 <= static'4 /\ ar_0 <= static'4 /\ o8' < ar_0 /\ static'1 <= static''' + 1 /\ i4' < ar_0 /\ 1 <= i4' /\ static'5 <= static'4 + 2 ]
(Comp: ?, Cost: 4) round_NE_324(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_JMP_425(ar_2, ar_3, ar_1, ar_4, arityPad)) [ 0 < ar_2 /\ 1 <= ar_1 /\ 2 <= ar_4 /\ 1 <= ar_3 /\ ar_0 = 0 ]
(Comp: ?, Cost: 10) main_Load_231(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(round_NE_324(i24', ar_2 + 1, ar_0, ar_1, ar_3)) [ 0 <= ar_2 /\ ar_2 + 1 = i22' /\ 1 <= i22' /\ 1 <= ar_1 /\ i24' < 2 /\ 0 < ar_0 /\ 2 <= ar_3 /\ i24' <= 1 /\ ar_2 < ar_1 /\ 0 <= ar_1 /\ 0 <= i24' ]
(Comp: ?, Cost: 6) round_NE_324(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_JMP_425(ar_2, ar_3, ar_1 + 1, ar_4, arityPad)) [ ar_1 + 1 = i26' /\ 0 < ar_2 /\ 2 <= i26' /\ 1 <= ar_3 /\ 2 <= ar_4 /\ 1 <= i26' /\ 1 <= ar_1 /\ ar_0 = 1 ]
(Comp: ?, Cost: 1) main_JMP_425(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_231(ar_0, ar_1, ar_2, ar_3, arityPad)) [ 0 < ar_0 /\ 1 <= ar_2 /\ 0 <= ar_2 /\ 2 <= ar_3 /\ 1 <= ar_1 /\ 0 <= ar_1 ]
(Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_1(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: 1, Cost: 46) main_Load_1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_231(ar_0, i8', i20', i4', arityPad)) [ static'4 <= static'3 + 1 /\ 0 <= i8' /\ i20' <= o25' /\ 0 < ar_0 /\ 0 <= i20' /\ 2 <= i4' /\ o25' < ar_0 /\ 0 <= i4' /\ 1 <= static'4 /\ 0 < o25' /\ -static'4 <= 1 /\ 0 <= static'3 /\ 0 <= static''' /\ 0 <= ar_1 /\ static'3 <= static'2 + ar_0 /\ 0 <= static'1 /\ static''' <= ar_1 + 2 /\ ar_0 <= static'3 /\ static'2 <= static'1 /\ -static'3 <= 0 /\ i8' <= o8' /\ 0 <= static'2 /\ 0 < o8' /\ 0 <= static'4 /\ ar_0 <= static'4 /\ o8' < ar_0 /\ static'1 <= static''' + 1 /\ i4' < ar_0 /\ 1 <= i4' /\ static'5 <= static'4 + 2 ]
(Comp: ?, Cost: 4) round_NE_324(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_JMP_425(ar_2, ar_3, ar_1, ar_4, arityPad)) [ 0 < ar_2 /\ 1 <= ar_1 /\ 2 <= ar_4 /\ 1 <= ar_3 /\ ar_0 = 0 ]
(Comp: ?, Cost: 10) main_Load_231(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(round_NE_324(i24', ar_2 + 1, ar_0, ar_1, ar_3)) [ 0 <= ar_2 /\ ar_2 + 1 = i22' /\ 1 <= i22' /\ 1 <= ar_1 /\ i24' < 2 /\ 0 < ar_0 /\ 2 <= ar_3 /\ i24' <= 1 /\ ar_2 < ar_1 /\ 0 <= ar_1 /\ 0 <= i24' ]
(Comp: ?, Cost: 6) round_NE_324(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_JMP_425(ar_2, ar_3, ar_1 + 1, ar_4, arityPad)) [ ar_1 + 1 = i26' /\ 0 < ar_2 /\ 2 <= i26' /\ 1 <= ar_3 /\ 2 <= ar_4 /\ 1 <= i26' /\ 1 <= ar_1 /\ ar_0 = 1 ]
(Comp: ?, Cost: 1) main_JMP_425(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_231(ar_0, ar_1, ar_2, ar_3, arityPad)) [ 0 < ar_0 /\ 1 <= ar_2 /\ 0 <= ar_2 /\ 2 <= ar_3 /\ 1 <= ar_1 /\ 0 <= ar_1 ]
(Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_1(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_Load_1) = V_1
Pol(main_Load_231) = V_2 - V_3
Pol(round_NE_324) = -V_2 + V_4
Pol(main_JMP_425) = V_2 - V_3
Pol(koat_start) = V_1
orients all transitions weakly and the transition
main_Load_231(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(round_NE_324(i24', ar_2 + 1, ar_0, ar_1, ar_3)) [ 0 <= ar_2 /\ ar_2 + 1 = i22' /\ 1 <= i22' /\ 1 <= ar_1 /\ i24' < 2 /\ 0 < ar_0 /\ 2 <= ar_3 /\ i24' <= 1 /\ ar_2 < ar_1 /\ 0 <= ar_1 /\ 0 <= i24' ]
strictly and produces the following problem:
3: T:
(Comp: 1, Cost: 46) main_Load_1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_231(ar_0, i8', i20', i4', arityPad)) [ static'4 <= static'3 + 1 /\ 0 <= i8' /\ i20' <= o25' /\ 0 < ar_0 /\ 0 <= i20' /\ 2 <= i4' /\ o25' < ar_0 /\ 0 <= i4' /\ 1 <= static'4 /\ 0 < o25' /\ -static'4 <= 1 /\ 0 <= static'3 /\ 0 <= static''' /\ 0 <= ar_1 /\ static'3 <= static'2 + ar_0 /\ 0 <= static'1 /\ static''' <= ar_1 + 2 /\ ar_0 <= static'3 /\ static'2 <= static'1 /\ -static'3 <= 0 /\ i8' <= o8' /\ 0 <= static'2 /\ 0 < o8' /\ 0 <= static'4 /\ ar_0 <= static'4 /\ o8' < ar_0 /\ static'1 <= static''' + 1 /\ i4' < ar_0 /\ 1 <= i4' /\ static'5 <= static'4 + 2 ]
(Comp: ?, Cost: 4) round_NE_324(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_JMP_425(ar_2, ar_3, ar_1, ar_4, arityPad)) [ 0 < ar_2 /\ 1 <= ar_1 /\ 2 <= ar_4 /\ 1 <= ar_3 /\ ar_0 = 0 ]
(Comp: ar_0, Cost: 10) main_Load_231(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(round_NE_324(i24', ar_2 + 1, ar_0, ar_1, ar_3)) [ 0 <= ar_2 /\ ar_2 + 1 = i22' /\ 1 <= i22' /\ 1 <= ar_1 /\ i24' < 2 /\ 0 < ar_0 /\ 2 <= ar_3 /\ i24' <= 1 /\ ar_2 < ar_1 /\ 0 <= ar_1 /\ 0 <= i24' ]
(Comp: ?, Cost: 6) round_NE_324(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_JMP_425(ar_2, ar_3, ar_1 + 1, ar_4, arityPad)) [ ar_1 + 1 = i26' /\ 0 < ar_2 /\ 2 <= i26' /\ 1 <= ar_3 /\ 2 <= ar_4 /\ 1 <= i26' /\ 1 <= ar_1 /\ ar_0 = 1 ]
(Comp: ?, Cost: 1) main_JMP_425(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_231(ar_0, ar_1, ar_2, ar_3, arityPad)) [ 0 < ar_0 /\ 1 <= ar_2 /\ 0 <= ar_2 /\ 2 <= ar_3 /\ 1 <= ar_1 /\ 0 <= ar_1 ]
(Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_1(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
start location: koat_start
leaf cost: 0

Repeatedly propagating knowledge in problem 3 produces the following problem:
4: T:
(Comp: 1, Cost: 46) main_Load_1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_231(ar_0, i8', i20', i4', arityPad)) [ static'4 <= static'3 + 1 /\ 0 <= i8' /\ i20' <= o25' /\ 0 < ar_0 /\ 0 <= i20' /\ 2 <= i4' /\ o25' < ar_0 /\ 0 <= i4' /\ 1 <= static'4 /\ 0 < o25' /\ -static'4 <= 1 /\ 0 <= static'3 /\ 0 <= static''' /\ 0 <= ar_1 /\ static'3 <= static'2 + ar_0 /\ 0 <= static'1 /\ static''' <= ar_1 + 2 /\ ar_0 <= static'3 /\ static'2 <= static'1 /\ -static'3 <= 0 /\ i8' <= o8' /\ 0 <= static'2 /\ 0 < o8' /\ 0 <= static'4 /\ ar_0 <= static'4 /\ o8' < ar_0 /\ static'1 <= static''' + 1 /\ i4' < ar_0 /\ 1 <= i4' /\ static'5 <= static'4 + 2 ]
(Comp: ar_0, Cost: 4) round_NE_324(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_JMP_425(ar_2, ar_3, ar_1, ar_4, arityPad)) [ 0 < ar_2 /\ 1 <= ar_1 /\ 2 <= ar_4 /\ 1 <= ar_3 /\ ar_0 = 0 ]
(Comp: ar_0, Cost: 10) main_Load_231(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(round_NE_324(i24', ar_2 + 1, ar_0, ar_1, ar_3)) [ 0 <= ar_2 /\ ar_2 + 1 = i22' /\ 1 <= i22' /\ 1 <= ar_1 /\ i24' < 2 /\ 0 < ar_0 /\ 2 <= ar_3 /\ i24' <= 1 /\ ar_2 < ar_1 /\ 0 <= ar_1 /\ 0 <= i24' ]
(Comp: ar_0, Cost: 6) round_NE_324(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_JMP_425(ar_2, ar_3, ar_1 + 1, ar_4, arityPad)) [ ar_1 + 1 = i26' /\ 0 < ar_2 /\ 2 <= i26' /\ 1 <= ar_3 /\ 2 <= ar_4 /\ 1 <= i26' /\ 1 <= ar_1 /\ ar_0 = 1 ]
(Comp: 2*ar_0, Cost: 1) main_JMP_425(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_231(ar_0, ar_1, ar_2, ar_3, arityPad)) [ 0 < ar_0 /\ 1 <= ar_2 /\ 0 <= ar_2 /\ 2 <= ar_3 /\ 1 <= ar_1 /\ 0 <= ar_1 ]
(Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_1(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
start location: koat_start
leaf cost: 0

Complexity upper bound 22*ar_0 + 46

Time: 0.253 sec (SMT: 0.222 sec)

(46) BOUNDS(CONSTANT, 46 + 22 * |args|)