The time complexity of the given JBC problem could be proven to be BOUNDS(CONSTANT, 87 + 130 * |args|).

(0) Obligation:

Need to prove time_complexity of the following program:

public class LogAG{

  // adapted from Arts&Giesl, 2001

  public static int half(int x) {

    int res = 0;

    while (x > 1) {

      x = x-2;
      res++;

    }

    return res;

  }


  public static int log(int x) {

    int res = 0;

    while (x > 1) {

      x = half(x-2)+1;
      res++;

    }

    return res;

  }


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



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

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

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

Constructed TerminationGraph.

(2) Obligation:

Termination Graph based on JBC Program:
LogAG.main([Ljava/lang/String;)V: Graph of 140 nodes with 1 SCC.

(3) TerminationGraphToComplexityProof (BOTH CONCRETE BOUNDS(ID, ADD(50)) transformation)

Extracted set of 87 edges for the analysis of TIME complexity. Dropped leaves.

(4) Obligation:

Set of 87 edges based on JBC Program.
Performed SCC analyses:

• Used field analysis yielded the following read fields:
  

Considered paths: all paths from start

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

Transformed 87 jbc graph edges to a weighted ITS with 87 rules.
Used simplified encoding of division and modulo.
Filtered conditions with variables that do not depend on the variables on the lhs or rhs without taking transitive dependencies into account.
Filtered fields of type java.lang.Object.
Did no encode lower bounds for putfield and astore.

(6) Obligation:

IntTrs with 87 rules
Start term: main_Load_2(args, env, static)
Considered paths: all paths from start
Rules:
main_Load_2(o1, env, static) -{0,0}> main_Load_3(o1, env, static) :|: 0 < o1
main_Load_3(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_6(o1, env, static) :|: 0 < o1
langle_clinit_rangle_ConstantStackPush_6(o1, env, static) -{1,1}> langle_clinit_rangle_ArrayCreate_15(iconst_0, o1, env, static) :|: iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ArrayCreate_15(iconst_0, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_17(a2, o1, iconst_0, env, static) :|: a2 = 2 && iconst_0 = 0 && 0 < a2 && 0 < o1
langle_clinit_rangle_FieldAccess_17(a2, o1, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_18(o1, env, static') :|: 0 <= a2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2 && 0 < o1
langle_clinit_rangle_New_18(o1, env, static) -{0,0}> langle_clinit_rangle_New_20(o1, env, static) :|: 0 < o1
langle_clinit_rangle_New_20(o1, env, static) -{0,0}> langle_clinit_rangle_New_22(o1, env, static) :|: 0 <= static && 0 < o1
langle_clinit_rangle_New_22(o1, env, static) -{1,1}> langle_clinit_rangle_Duplicate_24(o4, o1, env, static) :|: o4 = 1 && 0 < o4 && 0 < o1
langle_clinit_rangle_Duplicate_24(o4, o1, env, static) -{1,1}> langle_clinit_rangle_ConstantStackPush_26(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_ConstantStackPush_26(o4, o1, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_29(o4, NULL, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_clinit_rangle_InvokeMethod_29(o4, NULL, o1, env, static) -{1,1}> langle_init_rangle_Load_31(o4, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_init_rangle_Load_31(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_34(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_34(o4, o1, env, static) -{1,1}> langle_init_rangle_Load_35(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Load_35(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_39(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_39(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_41(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_41(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_44(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_44(o4, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_46(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_FieldAccess_46(o4, o1, env, static) -{1,1}> langle_clinit_rangle_Return_48(o1, env, static') :|: 0 <= o4 && 0 < o4 && 0 <= static && 0 < o1 && static' <= static + o4
langle_clinit_rangle_Return_48(o1, env, static) -{1,1}> main_Load_54(o1, env, static) :|: 0 < o1
main_Load_54(o1, env, static) -{0,0}> main_Load_55(o1, env, static) :|: 0 < o1
main_Load_55(o1, env, static) -{0,0}> main_Load_56(o1, env, static) :|: 0 <= static && 0 < o1
main_Load_56(o1, env, static) -{0,0}> main_Load_57(o1, env, static) :|: 0 < o1
main_Load_57(o1, env, static) -{0,0}> main_Load_58(o1, env, static) :|: 0 < o1
main_Load_58(o1, env, static) -{1,1}> main_FieldAccess_59(o1, env, static) :|: 0 < o1
main_FieldAccess_59(o1, env, static) -{0,0}> main_FieldAccess_60(o1, env, static) :|: 0 < o1
main_FieldAccess_60(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_61(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ConstantStackPush_61(o1, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_63(iconst_0, o1, NULL, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_FieldAccess_63(iconst_0, o1, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_64(o1, NULL, iconst_0, env, static') :|: NULL = 0 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0 && 0 < o1
langle_clinit_rangle_Return_64(o1, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_65(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
main_FieldAccess_65(o1, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_68(o1, iconst_0, env, static') :|: static' <= static + o1 && NULL = 0 && 0 <= o1 && iconst_0 = 0 && 0 <= static && 0 < o1
main_InvokeMethod_68(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_69(o1, iconst_0, env, static) :|: iconst_0 = 0 && 0 < o1
random_FieldAccess_69(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_70(o1, iconst_0, env, static) :|: 0 <= o1 && o1 <= static && iconst_0 = 0 && 0 <= static && 0 < o1
random_FieldAccess_70(o1, iconst_0, env, static) -{1,1}> random_ArrayAccess_72(o1, iconst_0, env, static) :|: -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static && 0 < o1
random_ArrayAccess_72(a6, iconst_0, env, static) -{0,0}> random_ArrayAccess_73(a6, iconst_0, i5, env, static) :|: i5 < a6 && iconst_0 = 0 && 0 < a6 && 0 <= i5
random_ArrayAccess_73(a6, iconst_0, i6, env, static) -{0,0}> random_ArrayAccess_75(a6, iconst_0, i6, env, static) :|: 0 <= i6 && 1 <= i6 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_75(a6, iconst_0, i6, env, static) -{1,1}> random_Store_78(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && o8 < a6 && iconst_0 = 0 && 0 < a6
random_Store_78(o8, a6, iconst_0, i6, env, static) -{1,1}> random_FieldAccess_80(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_0 = 0 && 0 < a6
random_FieldAccess_80(o8, a6, iconst_0, i6, env, static) -{1,1}> random_ConstantStackPush_85(iconst_0, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && 0 < a6 && iconst_0 <= static
random_ConstantStackPush_85(iconst_0, o8, a6, i6, env, static) -{1,1}> random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i6, env, static) -{1,1}> random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i6, env, static) -{1,1}> random_Load_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_111(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_Store_111(a6, i8, iconst_1, i6, env, static) -{1,1}> main_Load_113(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_Load_113(a6, i8, iconst_1, i6, env, static) -{1,1}> main_InvokeMethod_115(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_InvokeMethod_115(a6, i8, iconst_1, i6, env, static) -{1,1}> log_ConstantStackPush_118(i8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
log_ConstantStackPush_118(i8, a6, iconst_1, i6, env, static) -{1,1}> log_Store_125(iconst_0, i8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 0 <= i8
log_Store_125(iconst_0, i8, a6, iconst_1, i6, env, static) -{1,1}> log_Load_140(i8, iconst_0, a6, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 0 <= i8
log_Load_140(i8, iconst_0, a6, iconst_1, i6, env, static) -{0,0}> log_Load_462(i8, iconst_0, a6, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= iconst_0 && iconst_0 <= 1 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 0 <= i8
log_Load_462(i73, i74, a49, iconst_1, i6, env, static) -{0,0}> log_Load_635(i73, i74, a49, iconst_1, i6, env, static) :|: i74 <= 2 && 1 <= i6 && i74 <= 1 && iconst_1 = 1 && 0 < a49 && 0 <= i74 && 0 <= i73
log_Load_635(i133, i134, a83, iconst_1, i6, env, static) -{0,0}> log_Load_877(i133, i134, a83, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= i134 && 0 < a83 && 0 <= i133 && iconst_1 = 1 && i134 <= 2
log_Load_877(i195, i196, a117, iconst_1, i6, env, static) -{1,1}> log_ConstantStackPush_880(i195, i196, a117, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 < a117 && iconst_1 = 1 && 0 <= i195
log_ConstantStackPush_880(i195, i196, a117, iconst_1, i6, env, static) -{1,1}> log_LE_885(i195, iconst_1, i196, a117, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 < a117 && iconst_1 = 1 && 0 <= i195
log_LE_885(i207, iconst_1, i196, a117, i6, env, static) -{0,0}> log_LE_890(i207, iconst_1, i196, a117, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 < a117 && 2 <= i207 && iconst_1 = 1 && 0 <= i207
log_LE_890(i207, iconst_1, i196, a117, i6, env, static) -{1,1}> log_Load_893(i207, i196, a117, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 < a117 && 2 <= i207 && iconst_1 = 1 && iconst_1 < i207
log_Load_893(i207, i196, a117, iconst_1, i6, env, static) -{1,1}> log_ConstantStackPush_896(i207, i196, a117, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 < a117 && 2 <= i207 && iconst_1 = 1
log_ConstantStackPush_896(i207, i196, a117, iconst_1, i6, env, static) -{1,1}> log_IntArithmetic_898(i207, iconst_2, i196, a117, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 < a117 && 2 <= i207 && iconst_1 = 1 && iconst_2 = 2
log_IntArithmetic_898(i207, iconst_2, i196, a117, iconst_1, i6, env, static) -{1,1}> log_InvokeMethod_901(i208, i196, a117, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 <= i208 && 0 < a117 && 2 <= i207 && i207 - iconst_2 = i208 && iconst_1 = 1 && iconst_2 = 2
log_InvokeMethod_901(i208, i196, a117, iconst_1, i6, env, static) -{1,1}> half_ConstantStackPush_903(i208, i196, a117, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 <= i208 && 0 < a117 && iconst_1 = 1
half_ConstantStackPush_903(i208, i196, a117, iconst_1, i6, env, static) -{1,1}> half_Store_904(iconst_0, i208, i196, a117, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 <= i208 && 0 < a117 && iconst_1 = 1 && iconst_0 = 0
half_Store_904(iconst_0, i208, i196, a117, iconst_1, i6, env, static) -{1,1}> half_Load_905(i208, iconst_0, i196, a117, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 <= i208 && 0 < a117 && iconst_1 = 1 && iconst_0 = 0
half_Load_905(i208, iconst_0, i196, a117, iconst_1, i6, env, static) -{0,0}> half_Load_977(i208, iconst_0, i196, a117, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 <= iconst_0 && 0 <= i208 && 0 < a117 && iconst_0 <= 1 && iconst_1 = 1 && iconst_0 = 0
half_Load_977(i215, i216, i196, a125, iconst_1, i6, env, static) -{0,0}> half_Load_1015(i215, i216, i196, a125, iconst_1, i6, env, static) :|: 0 <= i196 && 0 <= i215 && 1 <= i6 && i216 <= 1 && 0 < a125 && i216 <= 2 && iconst_1 = 1 && 0 <= i216
half_Load_1015(i229, i230, i196, a133, iconst_1, i6, env, static) -{0,0}> half_Load_1057(i229, i230, i196, a133, iconst_1, i6, env, static) :|: 0 <= i196 && i230 <= 2 && 1 <= i6 && 0 <= i229 && iconst_1 = 1 && 0 < a133 && 0 <= i230
half_Load_1057(i241, i242, i196, a141, iconst_1, i6, env, static) -{1,1}> half_ConstantStackPush_1060(i241, i242, i196, a141, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 <= i242 && iconst_1 = 1 && 0 <= i241 && 0 < a141
half_ConstantStackPush_1060(i241, i242, i196, a141, iconst_1, i6, env, static) -{1,1}> half_LE_1062(i241, iconst_1, i242, i196, a141, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 <= i242 && iconst_1 = 1 && 0 <= i241 && 0 < a141
half_LE_1062(i247, iconst_1, i242, i196, a141, i6, env, static) -{0,0}> half_LE_1067(i247, iconst_1, i242, i196, a141, i6, env, static) :|: 0 <= i196 && i247 <= 1 && 0 <= i247 && 1 <= i6 && 0 <= i242 && iconst_1 = 1 && 0 < a141
half_LE_1062(i248, iconst_1, i242, i196, a141, i6, env, static) -{0,0}> half_LE_1069(i248, iconst_1, i242, i196, a141, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 2 <= i248 && 0 <= i242 && iconst_1 = 1 && 0 <= i248 && 0 < a141
half_LE_1067(i247, iconst_1, i242, i196, a141, i6, env, static) -{1,1}> half_Load_1076(i242, i196, a141, iconst_1, i6, env, static) :|: 0 <= i196 && i247 <= 1 && 0 <= i247 && 1 <= i6 && 0 <= i242 && iconst_1 = 1 && i247 <= iconst_1 && 0 < a141
half_LE_1069(i248, iconst_1, i242, i196, a141, i6, env, static) -{1,1}> half_Load_1086(i248, i242, i196, a141, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 2 <= i248 && 0 <= i242 && iconst_1 = 1 && iconst_1 < i248 && 0 < a141
half_Load_1076(i242, i196, a141, iconst_1, i6, env, static) -{1,1}> half_Return_1088(i242, i196, a141, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 <= i242 && iconst_1 = 1 && 0 < a141
half_Load_1086(i248, i242, i196, a141, iconst_1, i6, env, static) -{1,1}> half_ConstantStackPush_1090(i248, i242, i196, a141, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 2 <= i248 && 0 <= i242 && iconst_1 = 1 && 0 < a141
half_Return_1088(i242, i196, a141, iconst_1, i6, env, static) -{1,1}> log_ConstantStackPush_1093(i242, i196, a141, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 <= i242 && iconst_1 = 1 && 0 < a141
half_ConstantStackPush_1090(i248, i242, i196, a141, iconst_1, i6, env, static) -{1,1}> half_IntArithmetic_1095(i248, iconst_2, i242, i196, a141, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 2 <= i248 && 0 <= i242 && iconst_1 = 1 && iconst_2 = 2 && 0 < a141
log_ConstantStackPush_1093(i242, i196, a141, iconst_1, i6, env, static) -{1,1}> log_IntArithmetic_1097(i242, iconst_1, i196, a141, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 <= i242 && iconst_1 = 1 && 0 < a141
half_IntArithmetic_1095(i248, iconst_2, i242, i196, a141, iconst_1, i6, env, static) -{1,1}> half_Store_1099(i249, i242, i196, a141, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 2 <= i248 && 0 <= i249 && 0 <= i242 && iconst_1 = 1 && i248 - iconst_2 = i249 && iconst_2 = 2 && 0 < a141
log_IntArithmetic_1097(i242, iconst_1, i196, a141, i6, env, static) -{1,1}> log_Store_1100(i250, i196, a141, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 1 <= i250 && 0 <= i242 && iconst_1 = 1 && i242 + iconst_1 = i250 && 0 < a141
half_Store_1099(i249, i242, i196, a141, iconst_1, i6, env, static) -{1,1}> half_Inc_1101(i249, i242, i196, a141, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 <= i249 && 0 <= i242 && iconst_1 = 1 && 0 < a141
log_Store_1100(i250, i196, a141, iconst_1, i6, env, static) -{1,1}> log_Inc_1102(i250, i196, a141, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 1 <= i250 && iconst_1 = 1 && 0 < a141
half_Inc_1101(i249, i242, i196, a141, iconst_1, i6, env, static) -{1,1}> half_JMP_1103(i249, i251, i196, a141, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 1 <= i251 && 0 <= i249 && 0 <= i242 && iconst_1 = 1 && i242 + 1 = i251 && 0 < a141
log_Inc_1102(i250, i196, a141, iconst_1, i6, env, static) -{1,1}> log_JMP_1105(i250, i252, a141, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 1 <= i250 && iconst_1 = 1 && 1 <= i252 && i196 + 1 = i252 && 0 < a141
half_JMP_1103(i249, i251, i196, a141, iconst_1, i6, env, static) -{1,1}> half_Load_1106(i249, i251, i196, a141, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 1 <= i251 && 0 <= i249 && iconst_1 = 1 && 0 < a141
log_JMP_1105(i250, i252, a141, iconst_1, i6, env, static) -{1,1}> log_Load_1108(i250, i252, a141, iconst_1, i6, env, static) :|: 1 <= i6 && 1 <= i250 && iconst_1 = 1 && 1 <= i252 && 0 < a141
half_Load_1106(i249, i251, i196, a141, iconst_1, i6, env, static) -{0,0}> half_Load_1057(i249, i251, i196, a141, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 1 <= i251 && 0 <= i249 && iconst_1 = 1 && 0 <= i251 && 0 < a141
log_Load_1108(i250, i252, a141, iconst_1, i6, env, static) -{0,0}> log_Load_877(i250, i252, a141, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= i250 && 1 <= i250 && 0 <= i252 && iconst_1 = 1 && 1 <= i252 && 0 < a141

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

obtained
main_Load_2(o1, env, static) -{37,37}> log_Load_877(i8', 0, o1, 1, i5', env, static'4) :|: static'4 <= static'3 + 1 && 0 <= 2 && 0 < 1 && 0 <= i5' && 0 <= i8' && 0 <= o8' && 0 < o1 && 0 <= static'3 && 1 <= i5' && 0 <= 0 && 0 < 2 && 0 <= static''' && 0 <= static && static'3 <= static'2 + o1 && 0 <= static'1 && static''' <= static + 2 && o1 <= static'3 && 0 <= o1 && static'2 <= static'1 + 0 && -1 * static'3 <= 0 && i8' <= o8' && i5' < o1 && 0 <= 1 && 0 < o8' && o8' < o1 && 0 <= static'2 && static'1 <= static''' + 1
by chaining
main_Load_2(o1, env, static) -{0,0}> main_Load_3(o1, env, static) :|: 0 < o1
main_Load_3(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_6(o1, env, static) :|: 0 < o1
langle_clinit_rangle_ConstantStackPush_6(o1, env, static) -{1,1}> langle_clinit_rangle_ArrayCreate_15(iconst_0, o1, env, static) :|: iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ArrayCreate_15(iconst_0, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_17(a2, o1, iconst_0, env, static) :|: a2 = 2 && iconst_0 = 0 && 0 < a2 && 0 < o1
langle_clinit_rangle_FieldAccess_17(a2, o1, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_18(o1, env, static') :|: 0 <= a2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2 && 0 < o1
langle_clinit_rangle_New_18(o1, env, static) -{0,0}> langle_clinit_rangle_New_20(o1, env, static) :|: 0 < o1
langle_clinit_rangle_New_20(o1, env, static) -{0,0}> langle_clinit_rangle_New_22(o1, env, static) :|: 0 <= static && 0 < o1
langle_clinit_rangle_New_22(o1, env, static) -{1,1}> langle_clinit_rangle_Duplicate_24(o4, o1, env, static) :|: o4 = 1 && 0 < o4 && 0 < o1
langle_clinit_rangle_Duplicate_24(o4, o1, env, static) -{1,1}> langle_clinit_rangle_ConstantStackPush_26(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_ConstantStackPush_26(o4, o1, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_29(o4, NULL, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_clinit_rangle_InvokeMethod_29(o4, NULL, o1, env, static) -{1,1}> langle_init_rangle_Load_31(o4, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_init_rangle_Load_31(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_34(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_34(o4, o1, env, static) -{1,1}> langle_init_rangle_Load_35(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Load_35(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_39(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_39(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_41(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_41(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_44(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_44(o4, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_46(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_FieldAccess_46(o4, o1, env, static) -{1,1}> langle_clinit_rangle_Return_48(o1, env, static') :|: 0 <= o4 && 0 < o4 && 0 <= static && 0 < o1 && static' <= static + o4
langle_clinit_rangle_Return_48(o1, env, static) -{1,1}> main_Load_54(o1, env, static) :|: 0 < o1
main_Load_54(o1, env, static) -{0,0}> main_Load_55(o1, env, static) :|: 0 < o1
main_Load_55(o1, env, static) -{0,0}> main_Load_56(o1, env, static) :|: 0 <= static && 0 < o1
main_Load_56(o1, env, static) -{0,0}> main_Load_57(o1, env, static) :|: 0 < o1
main_Load_57(o1, env, static) -{0,0}> main_Load_58(o1, env, static) :|: 0 < o1
main_Load_58(o1, env, static) -{1,1}> main_FieldAccess_59(o1, env, static) :|: 0 < o1
main_FieldAccess_59(o1, env, static) -{0,0}> main_FieldAccess_60(o1, env, static) :|: 0 < o1
main_FieldAccess_60(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_61(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ConstantStackPush_61(o1, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_63(iconst_0, o1, NULL, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_FieldAccess_63(iconst_0, o1, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_64(o1, NULL, iconst_0, env, static') :|: NULL = 0 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0 && 0 < o1
langle_clinit_rangle_Return_64(o1, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_65(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
main_FieldAccess_65(o1, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_68(o1, iconst_0, env, static') :|: static' <= static + o1 && NULL = 0 && 0 <= o1 && iconst_0 = 0 && 0 <= static && 0 < o1
main_InvokeMethod_68(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_69(o1, iconst_0, env, static) :|: iconst_0 = 0 && 0 < o1
random_FieldAccess_69(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_70(o1, iconst_0, env, static) :|: 0 <= o1 && o1 <= static && iconst_0 = 0 && 0 <= static && 0 < o1
random_FieldAccess_70(o1, iconst_0, env, static) -{1,1}> random_ArrayAccess_72(o1, iconst_0, env, static) :|: -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static && 0 < o1
random_ArrayAccess_72(a6, iconst_0, env, static) -{0,0}> random_ArrayAccess_73(a6, iconst_0, i5, env, static) :|: i5 < a6 && iconst_0 = 0 && 0 < a6 && 0 <= i5
random_ArrayAccess_73(a6, iconst_0, i6, env, static) -{0,0}> random_ArrayAccess_75(a6, iconst_0, i6, env, static) :|: 0 <= i6 && 1 <= i6 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_75(a6, iconst_0, i6, env, static) -{1,1}> random_Store_78(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && o8 < a6 && iconst_0 = 0 && 0 < a6
random_Store_78(o8, a6, iconst_0, i6, env, static) -{1,1}> random_FieldAccess_80(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_0 = 0 && 0 < a6
random_FieldAccess_80(o8, a6, iconst_0, i6, env, static) -{1,1}> random_ConstantStackPush_85(iconst_0, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && 0 < a6 && iconst_0 <= static
random_ConstantStackPush_85(iconst_0, o8, a6, i6, env, static) -{1,1}> random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i6, env, static) -{1,1}> random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i6, env, static) -{1,1}> random_Load_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_111(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_Store_111(a6, i8, iconst_1, i6, env, static) -{1,1}> main_Load_113(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_Load_113(a6, i8, iconst_1, i6, env, static) -{1,1}> main_InvokeMethod_115(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_InvokeMethod_115(a6, i8, iconst_1, i6, env, static) -{1,1}> log_ConstantStackPush_118(i8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
log_ConstantStackPush_118(i8, a6, iconst_1, i6, env, static) -{1,1}> log_Store_125(iconst_0, i8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 0 <= i8
log_Store_125(iconst_0, i8, a6, iconst_1, i6, env, static) -{1,1}> log_Load_140(i8, iconst_0, a6, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 0 <= i8
log_Load_140(i8, iconst_0, a6, iconst_1, i6, env, static) -{0,0}> log_Load_462(i8, iconst_0, a6, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= iconst_0 && iconst_0 <= 1 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 0 <= i8
log_Load_462(i73, i74, a49, iconst_1, i6, env, static) -{0,0}> log_Load_635(i73, i74, a49, iconst_1, i6, env, static) :|: i74 <= 2 && 1 <= i6 && i74 <= 1 && iconst_1 = 1 && 0 < a49 && 0 <= i74 && 0 <= i73
log_Load_635(i133, i134, a83, iconst_1, i6, env, static) -{0,0}> log_Load_877(i133, i134, a83, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= i134 && 0 < a83 && 0 <= i133 && iconst_1 = 1 && i134 <= 2

obtained
log_Load_877(i195, i196, a117, 1, i6, env, static) -{9,9}> half_Load_1057(i208', 0, i196, a117, 1, i6, env, static) :|: 0 <= i195 && 0 <= 0 && 2 <= i195 && 0 < a117 && i195 - 2 = i208' && 1 <= i6 && 0 <= i208' && 0 <= 1 && 0 <= i196 && 0 <= 2 && 1 < i195
by chaining
log_Load_877(i195, i196, a117, iconst_1, i6, env, static) -{1,1}> log_ConstantStackPush_880(i195, i196, a117, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 < a117 && iconst_1 = 1 && 0 <= i195
log_ConstantStackPush_880(i195, i196, a117, iconst_1, i6, env, static) -{1,1}> log_LE_885(i195, iconst_1, i196, a117, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 < a117 && iconst_1 = 1 && 0 <= i195
log_LE_885(i207, iconst_1, i196, a117, i6, env, static) -{0,0}> log_LE_890(i207, iconst_1, i196, a117, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 < a117 && 2 <= i207 && iconst_1 = 1 && 0 <= i207
log_LE_890(i207, iconst_1, i196, a117, i6, env, static) -{1,1}> log_Load_893(i207, i196, a117, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 < a117 && 2 <= i207 && iconst_1 = 1 && iconst_1 < i207
log_Load_893(i207, i196, a117, iconst_1, i6, env, static) -{1,1}> log_ConstantStackPush_896(i207, i196, a117, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 < a117 && 2 <= i207 && iconst_1 = 1
log_ConstantStackPush_896(i207, i196, a117, iconst_1, i6, env, static) -{1,1}> log_IntArithmetic_898(i207, iconst_2, i196, a117, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 < a117 && 2 <= i207 && iconst_1 = 1 && iconst_2 = 2
log_IntArithmetic_898(i207, iconst_2, i196, a117, iconst_1, i6, env, static) -{1,1}> log_InvokeMethod_901(i208, i196, a117, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 <= i208 && 0 < a117 && 2 <= i207 && i207 - iconst_2 = i208 && iconst_1 = 1 && iconst_2 = 2
log_InvokeMethod_901(i208, i196, a117, iconst_1, i6, env, static) -{1,1}> half_ConstantStackPush_903(i208, i196, a117, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 <= i208 && 0 < a117 && iconst_1 = 1
half_ConstantStackPush_903(i208, i196, a117, iconst_1, i6, env, static) -{1,1}> half_Store_904(iconst_0, i208, i196, a117, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 <= i208 && 0 < a117 && iconst_1 = 1 && iconst_0 = 0
half_Store_904(iconst_0, i208, i196, a117, iconst_1, i6, env, static) -{1,1}> half_Load_905(i208, iconst_0, i196, a117, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 <= i208 && 0 < a117 && iconst_1 = 1 && iconst_0 = 0
half_Load_905(i208, iconst_0, i196, a117, iconst_1, i6, env, static) -{0,0}> half_Load_977(i208, iconst_0, i196, a117, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 <= iconst_0 && 0 <= i208 && 0 < a117 && iconst_0 <= 1 && iconst_1 = 1 && iconst_0 = 0
half_Load_977(i215, i216, i196, a125, iconst_1, i6, env, static) -{0,0}> half_Load_1015(i215, i216, i196, a125, iconst_1, i6, env, static) :|: 0 <= i196 && 0 <= i215 && 1 <= i6 && i216 <= 1 && 0 < a125 && i216 <= 2 && iconst_1 = 1 && 0 <= i216
half_Load_1015(i229, i230, i196, a133, iconst_1, i6, env, static) -{0,0}> half_Load_1057(i229, i230, i196, a133, iconst_1, i6, env, static) :|: 0 <= i196 && i230 <= 2 && 1 <= i6 && 0 <= i229 && iconst_1 = 1 && 0 < a133 && 0 <= i230

obtained
half_Load_1057(i241, i242, i196, a141, 1, i6, env, static) -{2,2}> half_LE_1062(i241, 1, i242, i196, a141, i6, env, static) :|: 0 < a141 && 0 <= i241 && 0 <= i242 && 0 <= i196 && 1 <= i6
by chaining
half_Load_1057(i241, i242, i196, a141, iconst_1, i6, env, static) -{1,1}> half_ConstantStackPush_1060(i241, i242, i196, a141, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 <= i242 && iconst_1 = 1 && 0 <= i241 && 0 < a141
half_ConstantStackPush_1060(i241, i242, i196, a141, iconst_1, i6, env, static) -{1,1}> half_LE_1062(i241, iconst_1, i242, i196, a141, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 <= i242 && iconst_1 = 1 && 0 <= i241 && 0 < a141

obtained
half_LE_1062(i248, 1, i242, i196, a141, i6, env, static) -{7,7}> half_Load_1057(i249', i251', i196, a141, 1, i6, env, static) :|: 2 <= i248 && 0 < a141 && i242 + 1 = i251' && 0 <= i251' && i248 - 2 = i249' && 1 <= i6 && 0 <= i249' && 0 <= i196 && 1 <= i251' && 0 <= i242 && 1 < i248 && 0 <= i248
by chaining
half_LE_1062(i248, iconst_1, i242, i196, a141, i6, env, static) -{0,0}> half_LE_1069(i248, iconst_1, i242, i196, a141, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 2 <= i248 && 0 <= i242 && iconst_1 = 1 && 0 <= i248 && 0 < a141
half_LE_1069(i248, iconst_1, i242, i196, a141, i6, env, static) -{1,1}> half_Load_1086(i248, i242, i196, a141, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 2 <= i248 && 0 <= i242 && iconst_1 = 1 && iconst_1 < i248 && 0 < a141
half_Load_1086(i248, i242, i196, a141, iconst_1, i6, env, static) -{1,1}> half_ConstantStackPush_1090(i248, i242, i196, a141, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 2 <= i248 && 0 <= i242 && iconst_1 = 1 && 0 < a141
half_ConstantStackPush_1090(i248, i242, i196, a141, iconst_1, i6, env, static) -{1,1}> half_IntArithmetic_1095(i248, iconst_2, i242, i196, a141, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 2 <= i248 && 0 <= i242 && iconst_1 = 1 && iconst_2 = 2 && 0 < a141
half_IntArithmetic_1095(i248, iconst_2, i242, i196, a141, iconst_1, i6, env, static) -{1,1}> half_Store_1099(i249, i242, i196, a141, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 2 <= i248 && 0 <= i249 && 0 <= i242 && iconst_1 = 1 && i248 - iconst_2 = i249 && iconst_2 = 2 && 0 < a141
half_Store_1099(i249, i242, i196, a141, iconst_1, i6, env, static) -{1,1}> half_Inc_1101(i249, i242, i196, a141, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 <= i249 && 0 <= i242 && iconst_1 = 1 && 0 < a141
half_Inc_1101(i249, i242, i196, a141, iconst_1, i6, env, static) -{1,1}> half_JMP_1103(i249, i251, i196, a141, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 1 <= i251 && 0 <= i249 && 0 <= i242 && iconst_1 = 1 && i242 + 1 = i251 && 0 < a141
half_JMP_1103(i249, i251, i196, a141, iconst_1, i6, env, static) -{1,1}> half_Load_1106(i249, i251, i196, a141, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 1 <= i251 && 0 <= i249 && iconst_1 = 1 && 0 < a141
half_Load_1106(i249, i251, i196, a141, iconst_1, i6, env, static) -{0,0}> half_Load_1057(i249, i251, i196, a141, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 1 <= i251 && 0 <= i249 && iconst_1 = 1 && 0 <= i251 && 0 < a141

obtained
half_LE_1062(i247, 1, i242, i196, a141, i6, env, static) -{8,8}> log_Load_877(i250', i252', a141, 1, i6, env, static) :|: 0 <= i242 && 0 < a141 && i242 + 1 = i250' && 1 <= i252' && i196 + 1 = i252' && 1 <= i6 && 0 <= i252' && 0 <= i247 && 1 <= i250' && 0 <= i196 && 0 <= i250' && i247 <= 1
by chaining
half_LE_1062(i247, iconst_1, i242, i196, a141, i6, env, static) -{0,0}> half_LE_1067(i247, iconst_1, i242, i196, a141, i6, env, static) :|: 0 <= i196 && i247 <= 1 && 0 <= i247 && 1 <= i6 && 0 <= i242 && iconst_1 = 1 && 0 < a141
half_LE_1067(i247, iconst_1, i242, i196, a141, i6, env, static) -{1,1}> half_Load_1076(i242, i196, a141, iconst_1, i6, env, static) :|: 0 <= i196 && i247 <= 1 && 0 <= i247 && 1 <= i6 && 0 <= i242 && iconst_1 = 1 && i247 <= iconst_1 && 0 < a141
half_Load_1076(i242, i196, a141, iconst_1, i6, env, static) -{1,1}> half_Return_1088(i242, i196, a141, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 <= i242 && iconst_1 = 1 && 0 < a141
half_Return_1088(i242, i196, a141, iconst_1, i6, env, static) -{1,1}> log_ConstantStackPush_1093(i242, i196, a141, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 <= i242 && iconst_1 = 1 && 0 < a141
log_ConstantStackPush_1093(i242, i196, a141, iconst_1, i6, env, static) -{1,1}> log_IntArithmetic_1097(i242, iconst_1, i196, a141, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 <= i242 && iconst_1 = 1 && 0 < a141
log_IntArithmetic_1097(i242, iconst_1, i196, a141, i6, env, static) -{1,1}> log_Store_1100(i250, i196, a141, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 1 <= i250 && 0 <= i242 && iconst_1 = 1 && i242 + iconst_1 = i250 && 0 < a141
log_Store_1100(i250, i196, a141, iconst_1, i6, env, static) -{1,1}> log_Inc_1102(i250, i196, a141, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 1 <= i250 && iconst_1 = 1 && 0 < a141
log_Inc_1102(i250, i196, a141, iconst_1, i6, env, static) -{1,1}> log_JMP_1105(i250, i252, a141, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 1 <= i250 && iconst_1 = 1 && 1 <= i252 && i196 + 1 = i252 && 0 < a141
log_JMP_1105(i250, i252, a141, iconst_1, i6, env, static) -{1,1}> log_Load_1108(i250, i252, a141, iconst_1, i6, env, static) :|: 1 <= i6 && 1 <= i250 && iconst_1 = 1 && 1 <= i252 && 0 < a141
log_Load_1108(i250, i252, a141, iconst_1, i6, env, static) -{0,0}> log_Load_877(i250, i252, a141, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= i250 && 1 <= i250 && 0 <= i252 && iconst_1 = 1 && 1 <= i252 && 0 < a141

(8) Obligation:

IntTrs with 5 rules
Start term: main_Load_2(args, env, static)
Considered paths: all paths from start
Rules:
main_Load_2(o1, env, static) -{37,37}> log_Load_877(i8', 0, o1, 1, i5', env, static'4) :|: static'4 <= static'3 + 1 && 0 <= 2 && 0 < 1 && 0 <= i5' && 0 <= i8' && 0 <= o8' && 0 < o1 && 0 <= static'3 && 1 <= i5' && 0 <= 0 && 0 < 2 && 0 <= static''' && 0 <= static && static'3 <= static'2 + o1 && 0 <= static'1 && static''' <= static + 2 && o1 <= static'3 && 0 <= o1 && static'2 <= static'1 + 0 && -1 * static'3 <= 0 && i8' <= o8' && i5' < o1 && 0 <= 1 && 0 < o8' && o8' < o1 && 0 <= static'2 && static'1 <= static''' + 1
log_Load_877(i195, i196, a117, 1, i6, env, static) -{9,9}> half_Load_1057(i208', 0, i196, a117, 1, i6, env, static) :|: 0 <= i195 && 0 <= 0 && 2 <= i195 && 0 < a117 && i195 - 2 = i208' && 1 <= i6 && 0 <= i208' && 0 <= 1 && 0 <= i196 && 0 <= 2 && 1 < i195
half_Load_1057(i241, i242, i196, a141, 1, i6, env, static) -{2,2}> half_LE_1062(i241, 1, i242, i196, a141, i6, env, static) :|: 0 < a141 && 0 <= i241 && 0 <= i242 && 0 <= i196 && 1 <= i6
half_LE_1062(i248, 1, i242, i196, a141, i6, env, static) -{7,7}> half_Load_1057(i249', i251', i196, a141, 1, i6, env, static) :|: 2 <= i248 && 0 < a141 && i242 + 1 = i251' && 0 <= i251' && i248 - 2 = i249' && 1 <= i6 && 0 <= i249' && 0 <= i196 && 1 <= i251' && 0 <= i242 && 1 < i248 && 0 <= i248
half_LE_1062(i247, 1, i242, i196, a141, i6, env, static) -{8,8}> log_Load_877(i250', i252', a141, 1, i6, env, static) :|: 0 <= i242 && 0 < a141 && i242 + 1 = i250' && 1 <= i252' && i196 + 1 = i252' && 1 <= i6 && 0 <= i252' && 0 <= i247 && 1 <= i250' && 0 <= i196 && 0 <= i250' && i247 <= 1

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

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

main_Load_2(x1, x2, x3) → main_Load_2(x1, x3)
log_Load_877(x1, x2, x3, x4, x5, x6, x7) → log_Load_877(x1, x2, x3, x5)
half_Load_1057(x1, x2, x3, x4, x5, x6, x7, x8) → half_Load_1057(x1, x2, x3, x4, x6)
half_LE_1062(x1, x2, x3, x4, x5, x6, x7, x8) → half_LE_1062(x1, x3, x4, x5, x6)

(10) Obligation:

IntTrs with 5 rules
Start term: main_Load_2(args, static)
Considered paths: all paths from start
Rules:
main_Load_2(o1, static) -{37,37}> log_Load_877(i8', 0, o1, i5') :|: static'4 <= static'3 + 1 && 0 <= 2 && 0 < 1 && 0 <= i5' && 0 <= i8' && 0 <= o8' && 0 < o1 && 0 <= static'3 && 1 <= i5' && 0 <= 0 && 0 < 2 && 0 <= static''' && 0 <= static && static'3 <= static'2 + o1 && 0 <= static'1 && static''' <= static + 2 && o1 <= static'3 && 0 <= o1 && static'2 <= static'1 + 0 && -1 * static'3 <= 0 && i8' <= o8' && i5' < o1 && 0 <= 1 && 0 < o8' && o8' < o1 && 0 <= static'2 && static'1 <= static''' + 1
log_Load_877(i195, i196, a117, i6) -{9,9}> half_Load_1057(i208', 0, i196, a117, i6) :|: 0 <= i195 && 0 <= 0 && 2 <= i195 && 0 < a117 && i195 - 2 = i208' && 1 <= i6 && 0 <= i208' && 0 <= 1 && 0 <= i196 && 0 <= 2 && 1 < i195
half_Load_1057(i241, i242, i196, a141, i6) -{2,2}> half_LE_1062(i241, i242, i196, a141, i6) :|: 0 < a141 && 0 <= i241 && 0 <= i242 && 0 <= i196 && 1 <= i6
half_LE_1062(i248, i242, i196, a141, i6) -{7,7}> half_Load_1057(i249', i251', i196, a141, i6) :|: 2 <= i248 && 0 < a141 && i242 + 1 = i251' && 0 <= i251' && i248 - 2 = i249' && 1 <= i6 && 0 <= i249' && 0 <= i196 && 1 <= i251' && 0 <= i242 && 1 < i248 && 0 <= i248
half_LE_1062(i247, i242, i196, a141, i6) -{8,8}> log_Load_877(i250', i252', a141, i6) :|: 0 <= i242 && 0 < a141 && i242 + 1 = i250' && 1 <= i252' && i196 + 1 = i252' && 1 <= i6 && 0 <= i252' && 0 <= i247 && 1 <= i250' && 0 <= i196 && 0 <= i250' && i247 <= 1

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

Moved arithmethic from constraints to rhss.

half_LE_1062(i247, i242, i196, a141, i6) -{8,8}> log_Load_877(i250', i252', a141, i6) :|: 0 <= i242 && 0 < a141 && i242 + 1 = i250' && 1 <= i252' && i196 + 1 = i252' && 1 <= i6 && 0 <= i252' && 0 <= i247 && 1 <= i250' && 0 <= i196 && 0 <= i250' && i247 <= 1
was transformed to
half_LE_1062(i247, i242, i196, a141, i6) -{8,8}> log_Load_877(i242 + 1, i196 + 1, a141, i6) :|: 0 <= i242 && 0 < a141 && i242 + 1 = i250' && 1 <= i252' && i196 + 1 = i252' && 1 <= i6 && 0 <= i252' && 0 <= i247 && 1 <= i250' && 0 <= i196 && 0 <= i250' && i247 <= 1

half_LE_1062(i248, i242, i196, a141, i6) -{7,7}> half_Load_1057(i249', i251', i196, a141, i6) :|: 2 <= i248 && 0 < a141 && i242 + 1 = i251' && 0 <= i251' && i248 - 2 = i249' && 1 <= i6 && 0 <= i249' && 0 <= i196 && 1 <= i251' && 0 <= i242 && 1 < i248 && 0 <= i248
was transformed to
half_LE_1062(i248, i242, i196, a141, i6) -{7,7}> half_Load_1057(i248 - 2, i242 + 1, i196, a141, i6) :|: 2 <= i248 && 0 < a141 && i242 + 1 = i251' && 0 <= i251' && i248 - 2 = i249' && 1 <= i6 && 0 <= i249' && 0 <= i196 && 1 <= i251' && 0 <= i242 && 1 < i248 && 0 <= i248

log_Load_877(i195, i196, a117, i6) -{9,9}> half_Load_1057(i208', 0, i196, a117, i6) :|: 0 <= i195 && 0 <= 0 && 2 <= i195 && 0 < a117 && i195 - 2 = i208' && 1 <= i6 && 0 <= i208' && 0 <= 1 && 0 <= i196 && 0 <= 2 && 1 < i195
was transformed to
log_Load_877(i195, i196, a117, i6) -{9,9}> half_Load_1057(i195 - 2, 0, i196, a117, i6) :|: 0 <= i195 && 0 <= 0 && 2 <= i195 && 0 < a117 && i195 - 2 = i208' && 1 <= i6 && 0 <= i208' && 0 <= 1 && 0 <= i196 && 0 <= 2 && 1 < i195

(12) Obligation:

IntTrs with 5 rules
Start term: main_Load_2(args, static)
Considered paths: all paths from start
Rules:
half_Load_1057(i241, i242, i196, a141, i6) -{2,2}> half_LE_1062(i241, i242, i196, a141, i6) :|: 0 < a141 && 0 <= i241 && 0 <= i242 && 0 <= i196 && 1 <= i6
half_LE_1062(i247, i242, i196, a141, i6) -{8,8}> log_Load_877(i242 + 1, i196 + 1, a141, i6) :|: 0 <= i242 && 0 < a141 && i242 + 1 = i250' && 1 <= i252' && i196 + 1 = i252' && 1 <= i6 && 0 <= i252' && 0 <= i247 && 1 <= i250' && 0 <= i196 && 0 <= i250' && i247 <= 1
half_LE_1062(i248, i242, i196, a141, i6) -{7,7}> half_Load_1057(i248 - 2, i242 + 1, i196, a141, i6) :|: 2 <= i248 && 0 < a141 && i242 + 1 = i251' && 0 <= i251' && i248 - 2 = i249' && 1 <= i6 && 0 <= i249' && 0 <= i196 && 1 <= i251' && 0 <= i242 && 1 < i248 && 0 <= i248
log_Load_877(i195, i196, a117, i6) -{9,9}> half_Load_1057(i195 - 2, 0, i196, a117, i6) :|: 0 <= i195 && 0 <= 0 && 2 <= i195 && 0 < a117 && i195 - 2 = i208' && 1 <= i6 && 0 <= i208' && 0 <= 1 && 0 <= i196 && 0 <= 2 && 1 < i195
main_Load_2(o1, static) -{37,37}> log_Load_877(i8', 0, o1, i5') :|: static'4 <= static'3 + 1 && 0 <= 2 && 0 < 1 && 0 <= i5' && 0 <= i8' && 0 <= o8' && 0 < o1 && 0 <= static'3 && 1 <= i5' && 0 <= 0 && 0 < 2 && 0 <= static''' && 0 <= static && static'3 <= static'2 + o1 && 0 <= static'1 && static''' <= static + 2 && o1 <= static'3 && 0 <= o1 && static'2 <= static'1 + 0 && -1 * static'3 <= 0 && i8' <= o8' && i5' < o1 && 0 <= 1 && 0 < o8' && o8' < o1 && 0 <= static'2 && static'1 <= static''' + 1

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

Simplified expressions.

log_Load_877(i195, i196, a117, i6) -{9,9}> half_Load_1057(i195 - 2, 0, i196, a117, i6) :|: 0 <= i195 && 0 <= 0 && 2 <= i195 && 0 < a117 && i195 - 2 = i208' && 1 <= i6 && 0 <= i208' && 0 <= 1 && 0 <= i196 && 0 <= 2 && 1 < i195
was transformed to
log_Load_877(i195, i196, a117, i6) -{9,9}> half_Load_1057(i195 - 2, 0, i196, a117, i6) :|: 0 <= i195 && 2 <= i195 && 0 < a117 && i195 - 2 = i208' && 1 <= i6 && 0 <= i208' && 0 <= i196 && 1 < i195

main_Load_2(o1, static) -{37,37}> log_Load_877(i8', 0, o1, i5') :|: static'4 <= static'3 + 1 && 0 <= 2 && 0 < 1 && 0 <= i5' && 0 <= i8' && 0 <= o8' && 0 < o1 && 0 <= static'3 && 1 <= i5' && 0 <= 0 && 0 < 2 && 0 <= static''' && 0 <= static && static'3 <= static'2 + o1 && 0 <= static'1 && static''' <= static + 2 && o1 <= static'3 && 0 <= o1 && static'2 <= static'1 + 0 && -1 * static'3 <= 0 && i8' <= o8' && i5' < o1 && 0 <= 1 && 0 < o8' && o8' < o1 && 0 <= static'2 && static'1 <= static''' + 1
was transformed to
main_Load_2(o1, static) -{37,37}> log_Load_877(i8', 0, o1, i5') :|: static'4 <= static'3 + 1 && 0 <= i5' && 0 <= i8' && 0 < o1 && 0 <= static'3 && 1 <= i5' && 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' && i5' < o1 && 0 < o8' && o8' < o1 && 0 <= static'2 && static'1 <= static''' + 1

(14) Obligation:

IntTrs with 5 rules
Start term: main_Load_2(args, static)
Considered paths: all paths from start
Rules:
half_LE_1062(i248, i242, i196, a141, i6) -{7,7}> half_Load_1057(i248 - 2, i242 + 1, i196, a141, i6) :|: 2 <= i248 && 0 < a141 && i242 + 1 = i251' && 0 <= i251' && i248 - 2 = i249' && 1 <= i6 && 0 <= i249' && 0 <= i196 && 1 <= i251' && 0 <= i242 && 1 < i248 && 0 <= i248
half_Load_1057(i241, i242, i196, a141, i6) -{2,2}> half_LE_1062(i241, i242, i196, a141, i6) :|: 0 < a141 && 0 <= i241 && 0 <= i242 && 0 <= i196 && 1 <= i6
main_Load_2(o1, static) -{37,37}> log_Load_877(i8', 0, o1, i5') :|: static'4 <= static'3 + 1 && 0 <= i5' && 0 <= i8' && 0 < o1 && 0 <= static'3 && 1 <= i5' && 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' && i5' < o1 && 0 < o8' && o8' < o1 && 0 <= static'2 && static'1 <= static''' + 1
half_LE_1062(i247, i242, i196, a141, i6) -{8,8}> log_Load_877(i242 + 1, i196 + 1, a141, i6) :|: 0 <= i242 && 0 < a141 && i242 + 1 = i250' && 1 <= i252' && i196 + 1 = i252' && 1 <= i6 && 0 <= i252' && 0 <= i247 && 1 <= i250' && 0 <= i196 && 0 <= i250' && i247 <= 1
log_Load_877(i195, i196, a117, i6) -{9,9}> half_Load_1057(i195 - 2, 0, i196, a117, i6) :|: 0 <= i195 && 2 <= i195 && 0 < a117 && i195 - 2 = i208' && 1 <= i6 && 0 <= i208' && 0 <= i196 && 1 < i195

(15) koat Proof (EQUIVALENT transformation)

YES(?, 130*ar_0 + 37)

Initial complexity problem:
1: T:
(Comp: ?, Cost: 7) half_LE_1062(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(half_Load_1057(ar_0 - 2, ar_1 + 1, ar_2, ar_3, ar_4)) [ 2 <= ar_0 /\ 0 < ar_3 /\ ar_1 + 1 = i251' /\ 0 <= i251' /\ ar_0 - 2 = i249' /\ 1 <= ar_4 /\ 0 <= i249' /\ 0 <= ar_2 /\ 1 <= i251' /\ 0 <= ar_1 /\ 1 < ar_0 /\ 0 <= ar_0 ]
(Comp: ?, Cost: 2) half_Load_1057(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(half_LE_1062(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 < ar_3 /\ 0 <= ar_0 /\ 0 <= ar_1 /\ 0 <= ar_2 /\ 1 <= ar_4 ]
(Comp: ?, Cost: 37) main_Load_2(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(log_Load_877(i8', 0, ar_0, i5', arityPad)) [ static'4 <= static'3 + 1 /\ 0 <= i5' /\ 0 <= i8' /\ 0 < ar_0 /\ 0 <= static'3 /\ 1 <= i5' /\ 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' /\ i5' < ar_0 /\ 0 < o8' /\ o8' < ar_0 /\ 0 <= static'2 /\ static'1 <= static''' + 1 ]
(Comp: ?, Cost: 8) half_LE_1062(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(log_Load_877(ar_1 + 1, ar_2 + 1, ar_3, ar_4, arityPad)) [ 0 <= ar_1 /\ 0 < ar_3 /\ ar_1 + 1 = i250' /\ 1 <= i252' /\ ar_2 + 1 = i252' /\ 1 <= ar_4 /\ 0 <= i252' /\ 0 <= ar_0 /\ 1 <= i250' /\ 0 <= ar_2 /\ 0 <= i250' /\ ar_0 <= 1 ]
(Comp: ?, Cost: 9) log_Load_877(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(half_Load_1057(ar_0 - 2, 0, ar_1, ar_2, ar_3)) [ 0 <= ar_0 /\ 2 <= ar_0 /\ 0 < ar_2 /\ ar_0 - 2 = i208' /\ 1 <= ar_3 /\ 0 <= i208' /\ 0 <= ar_1 /\ 1 < ar_0 ]
(Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_2(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
start location: koat_start
leaf cost: 0

Repeatedly propagating knowledge in problem 1 produces the following problem:
2: T:
(Comp: ?, Cost: 7) half_LE_1062(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(half_Load_1057(ar_0 - 2, ar_1 + 1, ar_2, ar_3, ar_4)) [ 2 <= ar_0 /\ 0 < ar_3 /\ ar_1 + 1 = i251' /\ 0 <= i251' /\ ar_0 - 2 = i249' /\ 1 <= ar_4 /\ 0 <= i249' /\ 0 <= ar_2 /\ 1 <= i251' /\ 0 <= ar_1 /\ 1 < ar_0 /\ 0 <= ar_0 ]
(Comp: ?, Cost: 2) half_Load_1057(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(half_LE_1062(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 < ar_3 /\ 0 <= ar_0 /\ 0 <= ar_1 /\ 0 <= ar_2 /\ 1 <= ar_4 ]
(Comp: 1, Cost: 37) main_Load_2(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(log_Load_877(i8', 0, ar_0, i5', arityPad)) [ static'4 <= static'3 + 1 /\ 0 <= i5' /\ 0 <= i8' /\ 0 < ar_0 /\ 0 <= static'3 /\ 1 <= i5' /\ 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' /\ i5' < ar_0 /\ 0 < o8' /\ o8' < ar_0 /\ 0 <= static'2 /\ static'1 <= static''' + 1 ]
(Comp: ?, Cost: 8) half_LE_1062(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(log_Load_877(ar_1 + 1, ar_2 + 1, ar_3, ar_4, arityPad)) [ 0 <= ar_1 /\ 0 < ar_3 /\ ar_1 + 1 = i250' /\ 1 <= i252' /\ ar_2 + 1 = i252' /\ 1 <= ar_4 /\ 0 <= i252' /\ 0 <= ar_0 /\ 1 <= i250' /\ 0 <= ar_2 /\ 0 <= i250' /\ ar_0 <= 1 ]
(Comp: ?, Cost: 9) log_Load_877(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(half_Load_1057(ar_0 - 2, 0, ar_1, ar_2, ar_3)) [ 0 <= ar_0 /\ 2 <= ar_0 /\ 0 < ar_2 /\ ar_0 - 2 = i208' /\ 1 <= ar_3 /\ 0 <= i208' /\ 0 <= ar_1 /\ 1 < ar_0 ]
(Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_2(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
start location: koat_start
leaf cost: 0

A polynomial rank function with
Pol(half_LE_1062) = 4*V_1 + 5*V_2 + 8
Pol(half_Load_1057) = 4*V_1 + 5*V_2 + 9
Pol(main_Load_2) = 5*V_1
Pol(log_Load_877) = 5*V_1 + 1
Pol(koat_start) = 5*V_1
orients all transitions weakly and the transitions
log_Load_877(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(half_Load_1057(ar_0 - 2, 0, ar_1, ar_2, ar_3)) [ 0 <= ar_0 /\ 2 <= ar_0 /\ 0 < ar_2 /\ ar_0 - 2 = i208' /\ 1 <= ar_3 /\ 0 <= i208' /\ 0 <= ar_1 /\ 1 < ar_0 ]
half_Load_1057(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(half_LE_1062(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 < ar_3 /\ 0 <= ar_0 /\ 0 <= ar_1 /\ 0 <= ar_2 /\ 1 <= ar_4 ]
half_LE_1062(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(log_Load_877(ar_1 + 1, ar_2 + 1, ar_3, ar_4, arityPad)) [ 0 <= ar_1 /\ 0 < ar_3 /\ ar_1 + 1 = i250' /\ 1 <= i252' /\ ar_2 + 1 = i252' /\ 1 <= ar_4 /\ 0 <= i252' /\ 0 <= ar_0 /\ 1 <= i250' /\ 0 <= ar_2 /\ 0 <= i250' /\ ar_0 <= 1 ]
half_LE_1062(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(half_Load_1057(ar_0 - 2, ar_1 + 1, ar_2, ar_3, ar_4)) [ 2 <= ar_0 /\ 0 < ar_3 /\ ar_1 + 1 = i251' /\ 0 <= i251' /\ ar_0 - 2 = i249' /\ 1 <= ar_4 /\ 0 <= i249' /\ 0 <= ar_2 /\ 1 <= i251' /\ 0 <= ar_1 /\ 1 < ar_0 /\ 0 <= ar_0 ]
strictly and produces the following problem:
3: T:
(Comp: 5*ar_0, Cost: 7) half_LE_1062(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(half_Load_1057(ar_0 - 2, ar_1 + 1, ar_2, ar_3, ar_4)) [ 2 <= ar_0 /\ 0 < ar_3 /\ ar_1 + 1 = i251' /\ 0 <= i251' /\ ar_0 - 2 = i249' /\ 1 <= ar_4 /\ 0 <= i249' /\ 0 <= ar_2 /\ 1 <= i251' /\ 0 <= ar_1 /\ 1 < ar_0 /\ 0 <= ar_0 ]
(Comp: 5*ar_0, Cost: 2) half_Load_1057(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(half_LE_1062(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 < ar_3 /\ 0 <= ar_0 /\ 0 <= ar_1 /\ 0 <= ar_2 /\ 1 <= ar_4 ]
(Comp: 1, Cost: 37) main_Load_2(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(log_Load_877(i8', 0, ar_0, i5', arityPad)) [ static'4 <= static'3 + 1 /\ 0 <= i5' /\ 0 <= i8' /\ 0 < ar_0 /\ 0 <= static'3 /\ 1 <= i5' /\ 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' /\ i5' < ar_0 /\ 0 < o8' /\ o8' < ar_0 /\ 0 <= static'2 /\ static'1 <= static''' + 1 ]
(Comp: 5*ar_0, Cost: 8) half_LE_1062(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(log_Load_877(ar_1 + 1, ar_2 + 1, ar_3, ar_4, arityPad)) [ 0 <= ar_1 /\ 0 < ar_3 /\ ar_1 + 1 = i250' /\ 1 <= i252' /\ ar_2 + 1 = i252' /\ 1 <= ar_4 /\ 0 <= i252' /\ 0 <= ar_0 /\ 1 <= i250' /\ 0 <= ar_2 /\ 0 <= i250' /\ ar_0 <= 1 ]
(Comp: 5*ar_0, Cost: 9) log_Load_877(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(half_Load_1057(ar_0 - 2, 0, ar_1, ar_2, ar_3)) [ 0 <= ar_0 /\ 2 <= ar_0 /\ 0 < ar_2 /\ ar_0 - 2 = i208' /\ 1 <= ar_3 /\ 0 <= i208' /\ 0 <= ar_1 /\ 1 < ar_0 ]
(Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_2(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
start location: koat_start
leaf cost: 0

Complexity upper bound 130*ar_0 + 37

Time: 0.240 sec (SMT: 0.219 sec)

(16) BOUNDS(CONSTANT, 37 + 130 * |args|)

(17) TerminationGraphToComplexityProof (BOTH CONCRETE BOUNDS(ID, ADD(50)) transformation)

Extracted set of 90 edges for the analysis of TIME complexity. Kept leaves.

(18) Obligation:

Set of 90 edges based on JBC Program.
Performed SCC analyses:

• Used field analysis yielded the following read fields:
  

Considered paths: nonterm paths and paths from start to sinks

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

Transformed 90 jbc graph edges to a weighted ITS with 90 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 90 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_2(o1, env, static) -{0,0}> main_Load_3(o1, env, static) :|: 0 < o1
main_Load_3(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_6(o1, env, static) :|: 0 < o1
langle_clinit_rangle_ConstantStackPush_6(o1, env, static) -{1,1}> langle_clinit_rangle_ArrayCreate_15(iconst_0, o1, env, static) :|: iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ArrayCreate_15(iconst_0, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_17(a2, o1, iconst_0, env, static) :|: a2 = 2 && iconst_0 = 0 && 0 < a2 && 0 < o1
langle_clinit_rangle_FieldAccess_17(a2, o1, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_18(o1, env, static') :|: 0 <= a2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2 && 0 < o1
langle_clinit_rangle_New_18(o1, env, static) -{0,0}> langle_clinit_rangle_New_20(o1, env, static) :|: 0 < o1
langle_clinit_rangle_New_20(o1, env, static) -{0,0}> langle_clinit_rangle_New_22(o1, env, static) :|: 0 <= static && 0 < o1
langle_clinit_rangle_New_22(o1, env, static) -{1,1}> langle_clinit_rangle_Duplicate_24(o4, o1, env, static) :|: o4 = 1 && 0 < o4 && 0 < o1
langle_clinit_rangle_Duplicate_24(o4, o1, env, static) -{1,1}> langle_clinit_rangle_ConstantStackPush_26(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_ConstantStackPush_26(o4, o1, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_29(o4, NULL, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_clinit_rangle_InvokeMethod_29(o4, NULL, o1, env, static) -{1,1}> langle_init_rangle_Load_31(o4, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_init_rangle_Load_31(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_34(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_34(o4, o1, env, static) -{1,1}> langle_init_rangle_Load_35(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Load_35(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_39(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_39(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_41(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_41(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_44(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_44(o4, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_46(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_FieldAccess_46(o4, o1, env, static) -{1,1}> langle_clinit_rangle_Return_48(o1, env, static') :|: 0 <= o4 && 0 < o4 && 0 <= static && 0 < o1 && static' <= static + o4
langle_clinit_rangle_Return_48(o1, env, static) -{1,1}> main_Load_54(o1, env, static) :|: 0 < o1
main_Load_54(o1, env, static) -{0,0}> main_Load_55(o1, env, static) :|: 0 < o1
main_Load_55(o1, env, static) -{0,0}> main_Load_56(o1, env, static) :|: 0 <= static && 0 < o1
main_Load_56(o1, env, static) -{0,0}> main_Load_57(o1, env, static) :|: 0 < o1
main_Load_57(o1, env, static) -{0,0}> main_Load_58(o1, env, static) :|: 0 < o1
main_Load_58(o1, env, static) -{1,1}> main_FieldAccess_59(o1, env, static) :|: 0 < o1
main_FieldAccess_59(o1, env, static) -{0,0}> main_FieldAccess_60(o1, env, static) :|: 0 < o1
main_FieldAccess_60(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_61(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ConstantStackPush_61(o1, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_63(iconst_0, o1, NULL, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_FieldAccess_63(iconst_0, o1, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_64(o1, NULL, iconst_0, env, static') :|: NULL = 0 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0 && 0 < o1
langle_clinit_rangle_Return_64(o1, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_65(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
main_FieldAccess_65(o1, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_68(o1, iconst_0, env, static') :|: static' <= static + o1 && NULL = 0 && 0 <= o1 && iconst_0 = 0 && 0 <= static && 0 < o1
main_InvokeMethod_68(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_69(o1, iconst_0, env, static) :|: iconst_0 = 0 && 0 < o1
random_FieldAccess_69(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_70(o1, iconst_0, env, static) :|: 0 <= o1 && o1 <= static && iconst_0 = 0 && 0 <= static && 0 < o1
random_FieldAccess_70(o1, iconst_0, env, static) -{1,1}> random_ArrayAccess_72(o1, iconst_0, env, static) :|: -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static && 0 < o1
random_ArrayAccess_72(a6, iconst_0, env, static) -{0,0}> random_ArrayAccess_73(a6, iconst_0, i5, env, static) :|: i5 < a6 && iconst_0 = 0 && 0 < a6 && 0 <= i5
random_ArrayAccess_73(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_74(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_73(a6, iconst_0, i6, env, static) -{0,0}> random_ArrayAccess_75(a6, iconst_0, i6, env, static) :|: 0 <= i6 && 1 <= i6 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_75(a6, iconst_0, i6, env, static) -{1,1}> random_Store_78(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && o8 < a6 && iconst_0 = 0 && 0 < a6
random_Store_78(o8, a6, iconst_0, i6, env, static) -{1,1}> random_FieldAccess_80(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_0 = 0 && 0 < a6
random_FieldAccess_80(o8, a6, iconst_0, i6, env, static) -{1,1}> random_ConstantStackPush_85(iconst_0, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && 0 < a6 && iconst_0 <= static
random_ConstantStackPush_85(iconst_0, o8, a6, i6, env, static) -{1,1}> random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i6, env, static) -{1,1}> random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i6, env, static) -{1,1}> random_Load_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_111(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_Store_111(a6, i8, iconst_1, i6, env, static) -{1,1}> main_Load_113(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_Load_113(a6, i8, iconst_1, i6, env, static) -{1,1}> main_InvokeMethod_115(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_InvokeMethod_115(a6, i8, iconst_1, i6, env, static) -{1,1}> log_ConstantStackPush_118(i8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
log_ConstantStackPush_118(i8, a6, iconst_1, i6, env, static) -{1,1}> log_Store_125(iconst_0, i8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 0 <= i8
log_Store_125(iconst_0, i8, a6, iconst_1, i6, env, static) -{1,1}> log_Load_140(i8, iconst_0, a6, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 0 <= i8
log_Load_140(i8, iconst_0, a6, iconst_1, i6, env, static) -{0,0}> log_Load_462(i8, iconst_0, a6, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= iconst_0 && iconst_0 <= 1 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 0 <= i8
log_Load_462(i73, i74, a49, iconst_1, i6, env, static) -{0,0}> log_Load_635(i73, i74, a49, iconst_1, i6, env, static) :|: i74 <= 2 && 1 <= i6 && i74 <= 1 && iconst_1 = 1 && 0 < a49 && 0 <= i74 && 0 <= i73
log_Load_635(i133, i134, a83, iconst_1, i6, env, static) -{0,0}> log_Load_877(i133, i134, a83, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= i134 && 0 < a83 && 0 <= i133 && iconst_1 = 1 && i134 <= 2
log_Load_877(i195, i196, a117, iconst_1, i6, env, static) -{1,1}> log_ConstantStackPush_880(i195, i196, a117, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 < a117 && iconst_1 = 1 && 0 <= i195
log_ConstantStackPush_880(i195, i196, a117, iconst_1, i6, env, static) -{1,1}> log_LE_885(i195, iconst_1, i196, a117, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 < a117 && iconst_1 = 1 && 0 <= i195
log_LE_885(i206, iconst_1, i196, a117, i6, env, static) -{0,0}> log_LE_888(i206, iconst_1, i196, a117, i6, env, static) :|: 0 <= i196 && 1 <= i6 && i206 <= 1 && 0 < a117 && iconst_1 = 1 && 0 <= i206
log_LE_885(i207, iconst_1, i196, a117, i6, env, static) -{0,0}> log_LE_890(i207, iconst_1, i196, a117, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 < a117 && 2 <= i207 && iconst_1 = 1 && 0 <= i207
log_LE_890(i207, iconst_1, i196, a117, i6, env, static) -{1,1}> log_Load_893(i207, i196, a117, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 < a117 && 2 <= i207 && iconst_1 = 1 && iconst_1 < i207
log_Load_893(i207, i196, a117, iconst_1, i6, env, static) -{1,1}> log_ConstantStackPush_896(i207, i196, a117, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 < a117 && 2 <= i207 && iconst_1 = 1
log_ConstantStackPush_896(i207, i196, a117, iconst_1, i6, env, static) -{1,1}> log_IntArithmetic_898(i207, iconst_2, i196, a117, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 < a117 && 2 <= i207 && iconst_1 = 1 && iconst_2 = 2
log_IntArithmetic_898(i207, iconst_2, i196, a117, iconst_1, i6, env, static) -{1,1}> log_InvokeMethod_901(i208, i196, a117, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 <= i208 && 0 < a117 && 2 <= i207 && i207 - iconst_2 = i208 && iconst_1 = 1 && iconst_2 = 2
log_InvokeMethod_901(i208, i196, a117, iconst_1, i6, env, static) -{1,1}> half_ConstantStackPush_903(i208, i196, a117, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 <= i208 && 0 < a117 && iconst_1 = 1
half_ConstantStackPush_903(i208, i196, a117, iconst_1, i6, env, static) -{1,1}> half_Store_904(iconst_0, i208, i196, a117, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 <= i208 && 0 < a117 && iconst_1 = 1 && iconst_0 = 0
half_Store_904(iconst_0, i208, i196, a117, iconst_1, i6, env, static) -{1,1}> half_Load_905(i208, iconst_0, i196, a117, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 <= i208 && 0 < a117 && iconst_1 = 1 && iconst_0 = 0
half_Load_905(i208, iconst_0, i196, a117, iconst_1, i6, env, static) -{0,0}> half_Load_977(i208, iconst_0, i196, a117, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 <= iconst_0 && 0 <= i208 && 0 < a117 && iconst_0 <= 1 && iconst_1 = 1 && iconst_0 = 0
half_Load_977(i215, i216, i196, a125, iconst_1, i6, env, static) -{0,0}> half_Load_1015(i215, i216, i196, a125, iconst_1, i6, env, static) :|: 0 <= i196 && 0 <= i215 && 1 <= i6 && i216 <= 1 && 0 < a125 && i216 <= 2 && iconst_1 = 1 && 0 <= i216
half_Load_1015(i229, i230, i196, a133, iconst_1, i6, env, static) -{0,0}> half_Load_1057(i229, i230, i196, a133, iconst_1, i6, env, static) :|: 0 <= i196 && i230 <= 2 && 1 <= i6 && 0 <= i229 && iconst_1 = 1 && 0 < a133 && 0 <= i230
half_Load_1057(i241, i242, i196, a141, iconst_1, i6, env, static) -{1,1}> half_ConstantStackPush_1060(i241, i242, i196, a141, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 <= i242 && iconst_1 = 1 && 0 <= i241 && 0 < a141
half_ConstantStackPush_1060(i241, i242, i196, a141, iconst_1, i6, env, static) -{1,1}> half_LE_1062(i241, iconst_1, i242, i196, a141, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 <= i242 && iconst_1 = 1 && 0 <= i241 && 0 < a141
half_LE_1062(i247, iconst_1, i242, i196, a141, i6, env, static) -{0,0}> half_LE_1067(i247, iconst_1, i242, i196, a141, i6, env, static) :|: 0 <= i196 && i247 <= 1 && 0 <= i247 && 1 <= i6 && 0 <= i242 && iconst_1 = 1 && 0 < a141
half_LE_1062(i248, iconst_1, i242, i196, a141, i6, env, static) -{0,0}> half_LE_1069(i248, iconst_1, i242, i196, a141, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 2 <= i248 && 0 <= i242 && iconst_1 = 1 && 0 <= i248 && 0 < a141
half_LE_1067(i247, iconst_1, i242, i196, a141, i6, env, static) -{1,1}> half_Load_1076(i242, i196, a141, iconst_1, i6, env, static) :|: 0 <= i196 && i247 <= 1 && 0 <= i247 && 1 <= i6 && 0 <= i242 && iconst_1 = 1 && i247 <= iconst_1 && 0 < a141
half_LE_1069(i248, iconst_1, i242, i196, a141, i6, env, static) -{1,1}> half_Load_1086(i248, i242, i196, a141, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 2 <= i248 && 0 <= i242 && iconst_1 = 1 && iconst_1 < i248 && 0 < a141
half_Load_1076(i242, i196, a141, iconst_1, i6, env, static) -{1,1}> half_Return_1088(i242, i196, a141, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 <= i242 && iconst_1 = 1 && 0 < a141
half_Load_1086(i248, i242, i196, a141, iconst_1, i6, env, static) -{1,1}> half_ConstantStackPush_1090(i248, i242, i196, a141, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 2 <= i248 && 0 <= i242 && iconst_1 = 1 && 0 < a141
half_Return_1088(i242, i196, a141, iconst_1, i6, env, static) -{1,1}> log_ConstantStackPush_1093(i242, i196, a141, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 <= i242 && iconst_1 = 1 && 0 < a141
half_ConstantStackPush_1090(i248, i242, i196, a141, iconst_1, i6, env, static) -{1,1}> half_IntArithmetic_1095(i248, iconst_2, i242, i196, a141, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 2 <= i248 && 0 <= i242 && iconst_1 = 1 && iconst_2 = 2 && 0 < a141
log_ConstantStackPush_1093(i242, i196, a141, iconst_1, i6, env, static) -{1,1}> log_IntArithmetic_1097(i242, iconst_1, i196, a141, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 <= i242 && iconst_1 = 1 && 0 < a141
half_IntArithmetic_1095(i248, iconst_2, i242, i196, a141, iconst_1, i6, env, static) -{1,1}> half_Store_1099(i249, i242, i196, a141, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 2 <= i248 && 0 <= i249 && 0 <= i242 && iconst_1 = 1 && i248 - iconst_2 = i249 && iconst_2 = 2 && 0 < a141
log_IntArithmetic_1097(i242, iconst_1, i196, a141, i6, env, static) -{1,1}> log_Store_1100(i250, i196, a141, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 1 <= i250 && 0 <= i242 && iconst_1 = 1 && i242 + iconst_1 = i250 && 0 < a141
half_Store_1099(i249, i242, i196, a141, iconst_1, i6, env, static) -{1,1}> half_Inc_1101(i249, i242, i196, a141, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 <= i249 && 0 <= i242 && iconst_1 = 1 && 0 < a141
log_Store_1100(i250, i196, a141, iconst_1, i6, env, static) -{1,1}> log_Inc_1102(i250, i196, a141, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 1 <= i250 && iconst_1 = 1 && 0 < a141
half_Inc_1101(i249, i242, i196, a141, iconst_1, i6, env, static) -{1,1}> half_JMP_1103(i249, i251, i196, a141, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 1 <= i251 && 0 <= i249 && 0 <= i242 && iconst_1 = 1 && i242 + 1 = i251 && 0 < a141
log_Inc_1102(i250, i196, a141, iconst_1, i6, env, static) -{1,1}> log_JMP_1105(i250, i252, a141, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 1 <= i250 && iconst_1 = 1 && 1 <= i252 && i196 + 1 = i252 && 0 < a141
half_JMP_1103(i249, i251, i196, a141, iconst_1, i6, env, static) -{1,1}> half_Load_1106(i249, i251, i196, a141, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 1 <= i251 && 0 <= i249 && iconst_1 = 1 && 0 < a141
log_JMP_1105(i250, i252, a141, iconst_1, i6, env, static) -{1,1}> log_Load_1108(i250, i252, a141, iconst_1, i6, env, static) :|: 1 <= i6 && 1 <= i250 && iconst_1 = 1 && 1 <= i252 && 0 < a141
half_Load_1106(i249, i251, i196, a141, iconst_1, i6, env, static) -{0,0}> half_Load_1057(i249, i251, i196, a141, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 1 <= i251 && 0 <= i249 && iconst_1 = 1 && 0 <= i251 && 0 < a141
log_Load_1108(i250, i252, a141, iconst_1, i6, env, static) -{0,0}> log_Load_877(i250, i252, a141, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= i250 && 1 <= i250 && 0 <= i252 && iconst_1 = 1 && 1 <= i252 && 0 < a141

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

obtained
main_Load_2(o1, env, static) -{23,23}> random_ArrayAccess_73(o1, 0, i5', env, static'3) :|: static'1 <= static''' + 1 && 0 <= i5' && 0 <= 2 && 0 < o1 && 0 <= static'2 && i5' < o1 && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
by chaining
main_Load_2(o1, env, static) -{0,0}> main_Load_3(o1, env, static) :|: 0 < o1
main_Load_3(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_6(o1, env, static) :|: 0 < o1
langle_clinit_rangle_ConstantStackPush_6(o1, env, static) -{1,1}> langle_clinit_rangle_ArrayCreate_15(iconst_0, o1, env, static) :|: iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ArrayCreate_15(iconst_0, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_17(a2, o1, iconst_0, env, static) :|: a2 = 2 && iconst_0 = 0 && 0 < a2 && 0 < o1
langle_clinit_rangle_FieldAccess_17(a2, o1, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_18(o1, env, static') :|: 0 <= a2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2 && 0 < o1
langle_clinit_rangle_New_18(o1, env, static) -{0,0}> langle_clinit_rangle_New_20(o1, env, static) :|: 0 < o1
langle_clinit_rangle_New_20(o1, env, static) -{0,0}> langle_clinit_rangle_New_22(o1, env, static) :|: 0 <= static && 0 < o1
langle_clinit_rangle_New_22(o1, env, static) -{1,1}> langle_clinit_rangle_Duplicate_24(o4, o1, env, static) :|: o4 = 1 && 0 < o4 && 0 < o1
langle_clinit_rangle_Duplicate_24(o4, o1, env, static) -{1,1}> langle_clinit_rangle_ConstantStackPush_26(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_ConstantStackPush_26(o4, o1, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_29(o4, NULL, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_clinit_rangle_InvokeMethod_29(o4, NULL, o1, env, static) -{1,1}> langle_init_rangle_Load_31(o4, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_init_rangle_Load_31(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_34(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_34(o4, o1, env, static) -{1,1}> langle_init_rangle_Load_35(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Load_35(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_39(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_39(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_41(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_41(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_44(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_44(o4, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_46(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_FieldAccess_46(o4, o1, env, static) -{1,1}> langle_clinit_rangle_Return_48(o1, env, static') :|: 0 <= o4 && 0 < o4 && 0 <= static && 0 < o1 && static' <= static + o4
langle_clinit_rangle_Return_48(o1, env, static) -{1,1}> main_Load_54(o1, env, static) :|: 0 < o1
main_Load_54(o1, env, static) -{0,0}> main_Load_55(o1, env, static) :|: 0 < o1
main_Load_55(o1, env, static) -{0,0}> main_Load_56(o1, env, static) :|: 0 <= static && 0 < o1
main_Load_56(o1, env, static) -{0,0}> main_Load_57(o1, env, static) :|: 0 < o1
main_Load_57(o1, env, static) -{0,0}> main_Load_58(o1, env, static) :|: 0 < o1
main_Load_58(o1, env, static) -{1,1}> main_FieldAccess_59(o1, env, static) :|: 0 < o1
main_FieldAccess_59(o1, env, static) -{0,0}> main_FieldAccess_60(o1, env, static) :|: 0 < o1
main_FieldAccess_60(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_61(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ConstantStackPush_61(o1, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_63(iconst_0, o1, NULL, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_FieldAccess_63(iconst_0, o1, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_64(o1, NULL, iconst_0, env, static') :|: NULL = 0 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0 && 0 < o1
langle_clinit_rangle_Return_64(o1, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_65(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
main_FieldAccess_65(o1, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_68(o1, iconst_0, env, static') :|: static' <= static + o1 && NULL = 0 && 0 <= o1 && iconst_0 = 0 && 0 <= static && 0 < o1
main_InvokeMethod_68(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_69(o1, iconst_0, env, static) :|: iconst_0 = 0 && 0 < o1
random_FieldAccess_69(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_70(o1, iconst_0, env, static) :|: 0 <= o1 && o1 <= static && iconst_0 = 0 && 0 <= static && 0 < o1
random_FieldAccess_70(o1, iconst_0, env, static) -{1,1}> random_ArrayAccess_72(o1, iconst_0, env, static) :|: -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static && 0 < o1
random_ArrayAccess_72(a6, iconst_0, env, static) -{0,0}> random_ArrayAccess_73(a6, iconst_0, i5, env, static) :|: i5 < a6 && iconst_0 = 0 && 0 < a6 && 0 <= i5

obtained
random_ArrayAccess_73(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_73(a6, iconst_0, i6, env, static) -{0,0}> random_ArrayAccess_75(a6, iconst_0, i6, env, static) :|: 0 <= i6 && 1 <= i6 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_75(a6, iconst_0, i6, env, static) -{1,1}> random_Store_78(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && o8 < a6 && iconst_0 = 0 && 0 < a6
random_Store_78(o8, a6, iconst_0, i6, env, static) -{1,1}> random_FieldAccess_80(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_0 = 0 && 0 < a6
random_FieldAccess_80(o8, a6, iconst_0, i6, env, static) -{1,1}> random_ConstantStackPush_85(iconst_0, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && 0 < a6 && iconst_0 <= static
random_ConstantStackPush_85(iconst_0, o8, a6, i6, env, static) -{1,1}> random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i6, env, static) -{1,1}> random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i6, env, static) -{1,1}> random_Load_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) -{7,7}> log_Load_877(i8', 0, a6, 1, i6, env, static) :|: i8' <= o12 && 0 <= 2 && 0 <= o12 && 0 <= i8' && 1 <= i6 && 0 < a6 && 0 <= 0 && 0 < o12 && 0 <= 1
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_111(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_Store_111(a6, i8, iconst_1, i6, env, static) -{1,1}> main_Load_113(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_Load_113(a6, i8, iconst_1, i6, env, static) -{1,1}> main_InvokeMethod_115(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_InvokeMethod_115(a6, i8, iconst_1, i6, env, static) -{1,1}> log_ConstantStackPush_118(i8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
log_ConstantStackPush_118(i8, a6, iconst_1, i6, env, static) -{1,1}> log_Store_125(iconst_0, i8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 0 <= i8
log_Store_125(iconst_0, i8, a6, iconst_1, i6, env, static) -{1,1}> log_Load_140(i8, iconst_0, a6, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 0 <= i8
log_Load_140(i8, iconst_0, a6, iconst_1, i6, env, static) -{0,0}> log_Load_462(i8, iconst_0, a6, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= iconst_0 && iconst_0 <= 1 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 0 <= i8
log_Load_462(i73, i74, a49, iconst_1, i6, env, static) -{0,0}> log_Load_635(i73, i74, a49, iconst_1, i6, env, static) :|: i74 <= 2 && 1 <= i6 && i74 <= 1 && iconst_1 = 1 && 0 < a49 && 0 <= i74 && 0 <= i73
log_Load_635(i133, i134, a83, iconst_1, i6, env, static) -{0,0}> log_Load_877(i133, i134, a83, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= i134 && 0 < a83 && 0 <= i133 && iconst_1 = 1 && i134 <= 2

obtained
log_Load_877(i195, i196, a117, 1, i6, env, static) -{2,2}> log_LE_885(i195, 1, i196, a117, i6, env, static) :|: 0 <= i195 && 0 < a117 && 0 <= i196 && 1 <= i6
by chaining
log_Load_877(i195, i196, a117, iconst_1, i6, env, static) -{1,1}> log_ConstantStackPush_880(i195, i196, a117, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 < a117 && iconst_1 = 1 && 0 <= i195
log_ConstantStackPush_880(i195, i196, a117, iconst_1, i6, env, static) -{1,1}> log_LE_885(i195, iconst_1, i196, a117, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 < a117 && iconst_1 = 1 && 0 <= i195

obtained
log_LE_885(i207, 1, i196, a117, i6, env, static) -{7,7}> half_Load_1057(i208', 0, i196, a117, 1, i6, env, static) :|: 2 <= i207 && 0 <= 0 && i207 - 2 = i208' && 0 < a117 && 1 <= i6 && 0 <= i196 && 0 <= i208' && 0 <= 1 && 0 <= 2 && 0 <= i207 && 1 < i207
by chaining
log_LE_885(i207, iconst_1, i196, a117, i6, env, static) -{0,0}> log_LE_890(i207, iconst_1, i196, a117, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 < a117 && 2 <= i207 && iconst_1 = 1 && 0 <= i207
log_LE_890(i207, iconst_1, i196, a117, i6, env, static) -{1,1}> log_Load_893(i207, i196, a117, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 < a117 && 2 <= i207 && iconst_1 = 1 && iconst_1 < i207
log_Load_893(i207, i196, a117, iconst_1, i6, env, static) -{1,1}> log_ConstantStackPush_896(i207, i196, a117, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 < a117 && 2 <= i207 && iconst_1 = 1
log_ConstantStackPush_896(i207, i196, a117, iconst_1, i6, env, static) -{1,1}> log_IntArithmetic_898(i207, iconst_2, i196, a117, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 < a117 && 2 <= i207 && iconst_1 = 1 && iconst_2 = 2
log_IntArithmetic_898(i207, iconst_2, i196, a117, iconst_1, i6, env, static) -{1,1}> log_InvokeMethod_901(i208, i196, a117, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 <= i208 && 0 < a117 && 2 <= i207 && i207 - iconst_2 = i208 && iconst_1 = 1 && iconst_2 = 2
log_InvokeMethod_901(i208, i196, a117, iconst_1, i6, env, static) -{1,1}> half_ConstantStackPush_903(i208, i196, a117, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 <= i208 && 0 < a117 && iconst_1 = 1
half_ConstantStackPush_903(i208, i196, a117, iconst_1, i6, env, static) -{1,1}> half_Store_904(iconst_0, i208, i196, a117, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 <= i208 && 0 < a117 && iconst_1 = 1 && iconst_0 = 0
half_Store_904(iconst_0, i208, i196, a117, iconst_1, i6, env, static) -{1,1}> half_Load_905(i208, iconst_0, i196, a117, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 <= i208 && 0 < a117 && iconst_1 = 1 && iconst_0 = 0
half_Load_905(i208, iconst_0, i196, a117, iconst_1, i6, env, static) -{0,0}> half_Load_977(i208, iconst_0, i196, a117, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 <= iconst_0 && 0 <= i208 && 0 < a117 && iconst_0 <= 1 && iconst_1 = 1 && iconst_0 = 0
half_Load_977(i215, i216, i196, a125, iconst_1, i6, env, static) -{0,0}> half_Load_1015(i215, i216, i196, a125, iconst_1, i6, env, static) :|: 0 <= i196 && 0 <= i215 && 1 <= i6 && i216 <= 1 && 0 < a125 && i216 <= 2 && iconst_1 = 1 && 0 <= i216
half_Load_1015(i229, i230, i196, a133, iconst_1, i6, env, static) -{0,0}> half_Load_1057(i229, i230, i196, a133, iconst_1, i6, env, static) :|: 0 <= i196 && i230 <= 2 && 1 <= i6 && 0 <= i229 && iconst_1 = 1 && 0 < a133 && 0 <= i230

obtained
half_Load_1057(i241, i242, i196, a141, 1, i6, env, static) -{2,2}> half_LE_1062(i241, 1, i242, i196, a141, i6, env, static) :|: 0 < a141 && 0 <= i241 && 0 <= i242 && 0 <= i196 && 1 <= i6
by chaining
half_Load_1057(i241, i242, i196, a141, iconst_1, i6, env, static) -{1,1}> half_ConstantStackPush_1060(i241, i242, i196, a141, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 <= i242 && iconst_1 = 1 && 0 <= i241 && 0 < a141
half_ConstantStackPush_1060(i241, i242, i196, a141, iconst_1, i6, env, static) -{1,1}> half_LE_1062(i241, iconst_1, i242, i196, a141, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 <= i242 && iconst_1 = 1 && 0 <= i241 && 0 < a141

obtained
half_LE_1062(i248, 1, i242, i196, a141, i6, env, static) -{7,7}> half_Load_1057(i249', i251', i196, a141, 1, i6, env, static) :|: 2 <= i248 && 0 < a141 && i242 + 1 = i251' && 0 <= i251' && i248 - 2 = i249' && 1 <= i6 && 0 <= i249' && 0 <= i196 && 1 <= i251' && 0 <= i242 && 1 < i248 && 0 <= i248
by chaining
half_LE_1062(i248, iconst_1, i242, i196, a141, i6, env, static) -{0,0}> half_LE_1069(i248, iconst_1, i242, i196, a141, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 2 <= i248 && 0 <= i242 && iconst_1 = 1 && 0 <= i248 && 0 < a141
half_LE_1069(i248, iconst_1, i242, i196, a141, i6, env, static) -{1,1}> half_Load_1086(i248, i242, i196, a141, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 2 <= i248 && 0 <= i242 && iconst_1 = 1 && iconst_1 < i248 && 0 < a141
half_Load_1086(i248, i242, i196, a141, iconst_1, i6, env, static) -{1,1}> half_ConstantStackPush_1090(i248, i242, i196, a141, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 2 <= i248 && 0 <= i242 && iconst_1 = 1 && 0 < a141
half_ConstantStackPush_1090(i248, i242, i196, a141, iconst_1, i6, env, static) -{1,1}> half_IntArithmetic_1095(i248, iconst_2, i242, i196, a141, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 2 <= i248 && 0 <= i242 && iconst_1 = 1 && iconst_2 = 2 && 0 < a141
half_IntArithmetic_1095(i248, iconst_2, i242, i196, a141, iconst_1, i6, env, static) -{1,1}> half_Store_1099(i249, i242, i196, a141, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 2 <= i248 && 0 <= i249 && 0 <= i242 && iconst_1 = 1 && i248 - iconst_2 = i249 && iconst_2 = 2 && 0 < a141
half_Store_1099(i249, i242, i196, a141, iconst_1, i6, env, static) -{1,1}> half_Inc_1101(i249, i242, i196, a141, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 <= i249 && 0 <= i242 && iconst_1 = 1 && 0 < a141
half_Inc_1101(i249, i242, i196, a141, iconst_1, i6, env, static) -{1,1}> half_JMP_1103(i249, i251, i196, a141, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 1 <= i251 && 0 <= i249 && 0 <= i242 && iconst_1 = 1 && i242 + 1 = i251 && 0 < a141
half_JMP_1103(i249, i251, i196, a141, iconst_1, i6, env, static) -{1,1}> half_Load_1106(i249, i251, i196, a141, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 1 <= i251 && 0 <= i249 && iconst_1 = 1 && 0 < a141
half_Load_1106(i249, i251, i196, a141, iconst_1, i6, env, static) -{0,0}> half_Load_1057(i249, i251, i196, a141, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 1 <= i251 && 0 <= i249 && iconst_1 = 1 && 0 <= i251 && 0 < a141

obtained
half_LE_1062(i247, 1, i242, i196, a141, i6, env, static) -{8,8}> log_Load_877(i250', i252', a141, 1, i6, env, static) :|: 0 <= i242 && 0 < a141 && i242 + 1 = i250' && 1 <= i252' && i196 + 1 = i252' && 1 <= i6 && 0 <= i252' && 0 <= i247 && 1 <= i250' && 0 <= i196 && 0 <= i250' && i247 <= 1
by chaining
half_LE_1062(i247, iconst_1, i242, i196, a141, i6, env, static) -{0,0}> half_LE_1067(i247, iconst_1, i242, i196, a141, i6, env, static) :|: 0 <= i196 && i247 <= 1 && 0 <= i247 && 1 <= i6 && 0 <= i242 && iconst_1 = 1 && 0 < a141
half_LE_1067(i247, iconst_1, i242, i196, a141, i6, env, static) -{1,1}> half_Load_1076(i242, i196, a141, iconst_1, i6, env, static) :|: 0 <= i196 && i247 <= 1 && 0 <= i247 && 1 <= i6 && 0 <= i242 && iconst_1 = 1 && i247 <= iconst_1 && 0 < a141
half_Load_1076(i242, i196, a141, iconst_1, i6, env, static) -{1,1}> half_Return_1088(i242, i196, a141, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 <= i242 && iconst_1 = 1 && 0 < a141
half_Return_1088(i242, i196, a141, iconst_1, i6, env, static) -{1,1}> log_ConstantStackPush_1093(i242, i196, a141, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 <= i242 && iconst_1 = 1 && 0 < a141
log_ConstantStackPush_1093(i242, i196, a141, iconst_1, i6, env, static) -{1,1}> log_IntArithmetic_1097(i242, iconst_1, i196, a141, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 <= i242 && iconst_1 = 1 && 0 < a141
log_IntArithmetic_1097(i242, iconst_1, i196, a141, i6, env, static) -{1,1}> log_Store_1100(i250, i196, a141, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 1 <= i250 && 0 <= i242 && iconst_1 = 1 && i242 + iconst_1 = i250 && 0 < a141
log_Store_1100(i250, i196, a141, iconst_1, i6, env, static) -{1,1}> log_Inc_1102(i250, i196, a141, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 1 <= i250 && iconst_1 = 1 && 0 < a141
log_Inc_1102(i250, i196, a141, iconst_1, i6, env, static) -{1,1}> log_JMP_1105(i250, i252, a141, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 1 <= i250 && iconst_1 = 1 && 1 <= i252 && i196 + 1 = i252 && 0 < a141
log_JMP_1105(i250, i252, a141, iconst_1, i6, env, static) -{1,1}> log_Load_1108(i250, i252, a141, iconst_1, i6, env, static) :|: 1 <= i6 && 1 <= i250 && iconst_1 = 1 && 1 <= i252 && 0 < a141
log_Load_1108(i250, i252, a141, iconst_1, i6, env, static) -{0,0}> log_Load_877(i250, i252, a141, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= i250 && 1 <= i250 && 0 <= i252 && iconst_1 = 1 && 1 <= i252 && 0 < a141

(22) Obligation:

IntTrs with 11 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_2(o1, env, static) -{23,23}> random_ArrayAccess_73(o1, 0, i5', env, static'3) :|: static'1 <= static''' + 1 && 0 <= i5' && 0 <= 2 && 0 < o1 && 0 <= static'2 && i5' < o1 && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
random_ArrayAccess_73(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_74(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_73(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) -{7,7}> log_Load_877(i8', 0, a6, 1, i6, env, static) :|: i8' <= o12 && 0 <= 2 && 0 <= o12 && 0 <= i8' && 1 <= i6 && 0 < a6 && 0 <= 0 && 0 < o12 && 0 <= 1
log_Load_877(i195, i196, a117, 1, i6, env, static) -{2,2}> log_LE_885(i195, 1, i196, a117, i6, env, static) :|: 0 <= i195 && 0 < a117 && 0 <= i196 && 1 <= i6
log_LE_885(i206, iconst_1, i196, a117, i6, env, static) -{0,0}> log_LE_888(i206, iconst_1, i196, a117, i6, env, static) :|: 0 <= i196 && 1 <= i6 && i206 <= 1 && 0 < a117 && iconst_1 = 1 && 0 <= i206
log_LE_885(i207, 1, i196, a117, i6, env, static) -{7,7}> half_Load_1057(i208', 0, i196, a117, 1, i6, env, static) :|: 2 <= i207 && 0 <= 0 && i207 - 2 = i208' && 0 < a117 && 1 <= i6 && 0 <= i196 && 0 <= i208' && 0 <= 1 && 0 <= 2 && 0 <= i207 && 1 < i207
half_Load_1057(i241, i242, i196, a141, 1, i6, env, static) -{2,2}> half_LE_1062(i241, 1, i242, i196, a141, i6, env, static) :|: 0 < a141 && 0 <= i241 && 0 <= i242 && 0 <= i196 && 1 <= i6
half_LE_1062(i248, 1, i242, i196, a141, i6, env, static) -{7,7}> half_Load_1057(i249', i251', i196, a141, 1, i6, env, static) :|: 2 <= i248 && 0 < a141 && i242 + 1 = i251' && 0 <= i251' && i248 - 2 = i249' && 1 <= i6 && 0 <= i249' && 0 <= i196 && 1 <= i251' && 0 <= i242 && 1 < i248 && 0 <= i248
half_LE_1062(i247, 1, i242, i196, a141, i6, env, static) -{8,8}> log_Load_877(i250', i252', a141, 1, i6, env, static) :|: 0 <= i242 && 0 < a141 && i242 + 1 = i250' && 1 <= i252' && i196 + 1 = i252' && 1 <= i6 && 0 <= i252' && 0 <= i247 && 1 <= i250' && 0 <= i196 && 0 <= i250' && i247 <= 1

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

Moved arithmethic from lhss to constraints.

half_LE_1062(i248, 1, i242, i196, a141, i6, env, static) -{7,7}> half_Load_1057(i249', i251', i196, a141, 1, i6, env, static) :|: 2 <= i248 && 0 < a141 && i242 + 1 = i251' && 0 <= i251' && i248 - 2 = i249' && 1 <= i6 && 0 <= i249' && 0 <= i196 && 1 <= i251' && 0 <= i242 && 1 < i248 && 0 <= i248
was transformed to
half_LE_1062(i248, x, i242, i196, a141, i6, env, static) -{7,7}> half_Load_1057(i249', i251', i196, a141, 1, i6, env, static) :|: 2 <= i248 && 0 < a141 && i242 + 1 = i251' && 0 <= i251' && i248 - 2 = i249' && 1 <= i6 && 0 <= i249' && 0 <= i196 && 1 <= i251' && 0 <= i242 && 1 < i248 && 0 <= i248 && x = 1

log_Load_877(i195, i196, a117, 1, i6, env, static) -{2,2}> log_LE_885(i195, 1, i196, a117, i6, env, static) :|: 0 <= i195 && 0 < a117 && 0 <= i196 && 1 <= i6
was transformed to
log_Load_877(i195, i196, a117, x, i6, env, static) -{2,2}> log_LE_885(i195, 1, i196, a117, i6, env, static) :|: 0 <= i195 && 0 < a117 && 0 <= i196 && 1 <= i6 && x = 1

random_InvokeMethod_100(o12, a6, 1, i6, env, static) -{7,7}> log_Load_877(i8', 0, a6, 1, i6, env, static) :|: i8' <= o12 && 0 <= 2 && 0 <= o12 && 0 <= i8' && 1 <= i6 && 0 < a6 && 0 <= 0 && 0 < o12 && 0 <= 1
was transformed to
random_InvokeMethod_100(o12, a6, x, i6, env, static) -{7,7}> log_Load_877(i8', 0, a6, 1, i6, env, static) :|: i8' <= o12 && 0 <= 2 && 0 <= o12 && 0 <= i8' && 1 <= i6 && 0 < a6 && 0 <= 0 && 0 < o12 && 0 <= 1 && x = 1

log_LE_885(i207, 1, i196, a117, i6, env, static) -{7,7}> half_Load_1057(i208', 0, i196, a117, 1, i6, env, static) :|: 2 <= i207 && 0 <= 0 && i207 - 2 = i208' && 0 < a117 && 1 <= i6 && 0 <= i196 && 0 <= i208' && 0 <= 1 && 0 <= 2 && 0 <= i207 && 1 < i207
was transformed to
log_LE_885(i207, x, i196, a117, i6, env, static) -{7,7}> half_Load_1057(i208', 0, i196, a117, 1, i6, env, static) :|: 2 <= i207 && 0 <= 0 && i207 - 2 = i208' && 0 < a117 && 1 <= i6 && 0 <= i196 && 0 <= i208' && 0 <= 1 && 0 <= 2 && 0 <= i207 && 1 < i207 && x = 1

random_ArrayAccess_73(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_73(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

half_LE_1062(i247, 1, i242, i196, a141, i6, env, static) -{8,8}> log_Load_877(i250', i252', a141, 1, i6, env, static) :|: 0 <= i242 && 0 < a141 && i242 + 1 = i250' && 1 <= i252' && i196 + 1 = i252' && 1 <= i6 && 0 <= i252' && 0 <= i247 && 1 <= i250' && 0 <= i196 && 0 <= i250' && i247 <= 1
was transformed to
half_LE_1062(i247, x, i242, i196, a141, i6, env, static) -{8,8}> log_Load_877(i250', i252', a141, 1, i6, env, static) :|: 0 <= i242 && 0 < a141 && i242 + 1 = i250' && 1 <= i252' && i196 + 1 = i252' && 1 <= i6 && 0 <= i252' && 0 <= i247 && 1 <= i250' && 0 <= i196 && 0 <= i250' && i247 <= 1 && x = 1

half_Load_1057(i241, i242, i196, a141, 1, i6, env, static) -{2,2}> half_LE_1062(i241, 1, i242, i196, a141, i6, env, static) :|: 0 < a141 && 0 <= i241 && 0 <= i242 && 0 <= i196 && 1 <= i6
was transformed to
half_Load_1057(i241, i242, i196, a141, x, i6, env, static) -{2,2}> half_LE_1062(i241, 1, i242, i196, a141, i6, env, static) :|: 0 < a141 && 0 <= i241 && 0 <= i242 && 0 <= i196 && 1 <= i6 && x = 1

(24) Obligation:

IntTrs with 11 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
half_LE_1062(i248, x, i242, i196, a141, i6, env, static) -{7,7}> half_Load_1057(i249', i251', i196, a141, 1, i6, env, static) :|: 2 <= i248 && 0 < a141 && i242 + 1 = i251' && 0 <= i251' && i248 - 2 = i249' && 1 <= i6 && 0 <= i249' && 0 <= i196 && 1 <= i251' && 0 <= i242 && 1 < i248 && 0 <= i248 && x = 1
random_ArrayAccess_73(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_74(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6
log_Load_877(i195, i196, a117, x, i6, env, static) -{2,2}> log_LE_885(i195, 1, i196, a117, i6, env, static) :|: 0 <= i195 && 0 < a117 && 0 <= i196 && 1 <= i6 && x = 1
random_InvokeMethod_100(o12, a6, x, i6, env, static) -{7,7}> log_Load_877(i8', 0, a6, 1, i6, env, static) :|: i8' <= o12 && 0 <= 2 && 0 <= o12 && 0 <= i8' && 1 <= i6 && 0 < a6 && 0 <= 0 && 0 < o12 && 0 <= 1 && 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
log_LE_885(i207, x, i196, a117, i6, env, static) -{7,7}> half_Load_1057(i208', 0, i196, a117, 1, i6, env, static) :|: 2 <= i207 && 0 <= 0 && i207 - 2 = i208' && 0 < a117 && 1 <= i6 && 0 <= i196 && 0 <= i208' && 0 <= 1 && 0 <= 2 && 0 <= i207 && 1 < i207 && x = 1
random_ArrayAccess_73(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
log_LE_885(i206, iconst_1, i196, a117, i6, env, static) -{0,0}> log_LE_888(i206, iconst_1, i196, a117, i6, env, static) :|: 0 <= i196 && 1 <= i6 && i206 <= 1 && 0 < a117 && iconst_1 = 1 && 0 <= i206
half_LE_1062(i247, x, i242, i196, a141, i6, env, static) -{8,8}> log_Load_877(i250', i252', a141, 1, i6, env, static) :|: 0 <= i242 && 0 < a141 && i242 + 1 = i250' && 1 <= i252' && i196 + 1 = i252' && 1 <= i6 && 0 <= i252' && 0 <= i247 && 1 <= i250' && 0 <= i196 && 0 <= i250' && i247 <= 1 && x = 1
main_Load_2(o1, env, static) -{23,23}> random_ArrayAccess_73(o1, 0, i5', env, static'3) :|: static'1 <= static''' + 1 && 0 <= i5' && 0 <= 2 && 0 < o1 && 0 <= static'2 && i5' < o1 && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
half_Load_1057(i241, i242, i196, a141, x, i6, env, static) -{2,2}> half_LE_1062(i241, 1, i242, i196, a141, i6, env, static) :|: 0 < a141 && 0 <= i241 && 0 <= i242 && 0 <= i196 && 1 <= i6 && x = 1

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

Linearized lhss.

random_ArrayAccess_73(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_74(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6
was transformed to
random_ArrayAccess_73(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_74(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0

(26) Obligation:

IntTrs with 11 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
half_LE_1062(i247, x, i242, i196, a141, i6, env, static) -{8,8}> log_Load_877(i250', i252', a141, 1, i6, env, static) :|: 0 <= i242 && 0 < a141 && i242 + 1 = i250' && 1 <= i252' && i196 + 1 = i252' && 1 <= i6 && 0 <= i252' && 0 <= i247 && 1 <= i250' && 0 <= i196 && 0 <= i250' && i247 <= 1 && x = 1
random_InvokeMethod_100(o12, a6, x, i6, env, static) -{7,7}> log_Load_877(i8', 0, a6, 1, i6, env, static) :|: i8' <= o12 && 0 <= 2 && 0 <= o12 && 0 <= i8' && 1 <= i6 && 0 < a6 && 0 <= 0 && 0 < o12 && 0 <= 1 && x = 1
random_ArrayAccess_73(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_74(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
half_Load_1057(i241, i242, i196, a141, x, i6, env, static) -{2,2}> half_LE_1062(i241, 1, i242, i196, a141, i6, env, static) :|: 0 < a141 && 0 <= i241 && 0 <= i242 && 0 <= i196 && 1 <= i6 && 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_73(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
log_LE_885(i207, x, i196, a117, i6, env, static) -{7,7}> half_Load_1057(i208', 0, i196, a117, 1, i6, env, static) :|: 2 <= i207 && 0 <= 0 && i207 - 2 = i208' && 0 < a117 && 1 <= i6 && 0 <= i196 && 0 <= i208' && 0 <= 1 && 0 <= 2 && 0 <= i207 && 1 < i207 && x = 1
log_LE_885(i206, iconst_1, i196, a117, i6, env, static) -{0,0}> log_LE_888(i206, iconst_1, i196, a117, i6, env, static) :|: 0 <= i196 && 1 <= i6 && i206 <= 1 && 0 < a117 && iconst_1 = 1 && 0 <= i206
half_LE_1062(i248, x, i242, i196, a141, i6, env, static) -{7,7}> half_Load_1057(i249', i251', i196, a141, 1, i6, env, static) :|: 2 <= i248 && 0 < a141 && i242 + 1 = i251' && 0 <= i251' && i248 - 2 = i249' && 1 <= i6 && 0 <= i249' && 0 <= i196 && 1 <= i251' && 0 <= i242 && 1 < i248 && 0 <= i248 && x = 1
main_Load_2(o1, env, static) -{23,23}> random_ArrayAccess_73(o1, 0, i5', env, static'3) :|: static'1 <= static''' + 1 && 0 <= i5' && 0 <= 2 && 0 < o1 && 0 <= static'2 && i5' < o1 && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
log_Load_877(i195, i196, a117, x, i6, env, static) -{2,2}> log_LE_885(i195, 1, i196, a117, i6, env, static) :|: 0 <= i195 && 0 < a117 && 0 <= i196 && 1 <= i6 && x = 1

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

Moved arithmethic from constraints to rhss.

half_LE_1062(i247, x, i242, i196, a141, i6, env, static) -{8,8}> log_Load_877(i250', i252', a141, 1, i6, env, static) :|: 0 <= i242 && 0 < a141 && i242 + 1 = i250' && 1 <= i252' && i196 + 1 = i252' && 1 <= i6 && 0 <= i252' && 0 <= i247 && 1 <= i250' && 0 <= i196 && 0 <= i250' && i247 <= 1 && x = 1
was transformed to
half_LE_1062(i247, x, i242, i196, a141, i6, env, static) -{8,8}> log_Load_877(i242 + 1, i196 + 1, a141, 1, i6, env, static) :|: 0 <= i242 && 0 < a141 && i242 + 1 = i250' && 1 <= i252' && i196 + 1 = i252' && 1 <= i6 && 0 <= i252' && 0 <= i247 && 1 <= i250' && 0 <= i196 && 0 <= i250' && i247 <= 1 && 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
was transformed to
random_InvokeMethod_100(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_103(0, a6, 1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6

random_ArrayAccess_73(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_74(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
was transformed to
random_ArrayAccess_73(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_74(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0

log_LE_885(i207, x, i196, a117, i6, env, static) -{7,7}> half_Load_1057(i208', 0, i196, a117, 1, i6, env, static) :|: 2 <= i207 && 0 <= 0 && i207 - 2 = i208' && 0 < a117 && 1 <= i6 && 0 <= i196 && 0 <= i208' && 0 <= 1 && 0 <= 2 && 0 <= i207 && 1 < i207 && x = 1
was transformed to
log_LE_885(i207, x, i196, a117, i6, env, static) -{7,7}> half_Load_1057(i207 - 2, 0, i196, a117, 1, i6, env, static) :|: 2 <= i207 && 0 <= 0 && i207 - 2 = i208' && 0 < a117 && 1 <= i6 && 0 <= i196 && 0 <= i208' && 0 <= 1 && 0 <= 2 && 0 <= i207 && 1 < i207 && x = 1

half_LE_1062(i248, x, i242, i196, a141, i6, env, static) -{7,7}> half_Load_1057(i249', i251', i196, a141, 1, i6, env, static) :|: 2 <= i248 && 0 < a141 && i242 + 1 = i251' && 0 <= i251' && i248 - 2 = i249' && 1 <= i6 && 0 <= i249' && 0 <= i196 && 1 <= i251' && 0 <= i242 && 1 < i248 && 0 <= i248 && x = 1
was transformed to
half_LE_1062(i248, x, i242, i196, a141, i6, env, static) -{7,7}> half_Load_1057(i248 - 2, i242 + 1, i196, a141, 1, i6, env, static) :|: 2 <= i248 && 0 < a141 && i242 + 1 = i251' && 0 <= i251' && i248 - 2 = i249' && 1 <= i6 && 0 <= i249' && 0 <= i196 && 1 <= i251' && 0 <= i242 && 1 < i248 && 0 <= i248 && x = 1

log_LE_885(i206, iconst_1, i196, a117, i6, env, static) -{0,0}> log_LE_888(i206, iconst_1, i196, a117, i6, env, static) :|: 0 <= i196 && 1 <= i6 && i206 <= 1 && 0 < a117 && iconst_1 = 1 && 0 <= i206
was transformed to
log_LE_885(i206, iconst_1, i196, a117, i6, env, static) -{0,0}> log_LE_888(i206, 1, i196, a117, i6, env, static) :|: 0 <= i196 && 1 <= i6 && i206 <= 1 && 0 < a117 && iconst_1 = 1 && 0 <= i206

(28) Obligation:

IntTrs with 11 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
random_InvokeMethod_100(o12, a6, x, i6, env, static) -{7,7}> log_Load_877(i8', 0, a6, 1, i6, env, static) :|: i8' <= o12 && 0 <= 2 && 0 <= o12 && 0 <= i8' && 1 <= i6 && 0 < a6 && 0 <= 0 && 0 < o12 && 0 <= 1 && x = 1
half_LE_1062(i247, x, i242, i196, a141, i6, env, static) -{8,8}> log_Load_877(i242 + 1, i196 + 1, a141, 1, i6, env, static) :|: 0 <= i242 && 0 < a141 && i242 + 1 = i250' && 1 <= i252' && i196 + 1 = i252' && 1 <= i6 && 0 <= i252' && 0 <= i247 && 1 <= i250' && 0 <= i196 && 0 <= i250' && i247 <= 1 && x = 1
half_Load_1057(i241, i242, i196, a141, x, i6, env, static) -{2,2}> half_LE_1062(i241, 1, i242, i196, a141, i6, env, static) :|: 0 < a141 && 0 <= i241 && 0 <= i242 && 0 <= i196 && 1 <= i6 && 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_73(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_ArrayAccess_73(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_74(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
log_LE_885(i207, x, i196, a117, i6, env, static) -{7,7}> half_Load_1057(i207 - 2, 0, i196, a117, 1, i6, env, static) :|: 2 <= i207 && 0 <= 0 && i207 - 2 = i208' && 0 < a117 && 1 <= i6 && 0 <= i196 && 0 <= i208' && 0 <= 1 && 0 <= 2 && 0 <= i207 && 1 < i207 && x = 1
half_LE_1062(i248, x, i242, i196, a141, i6, env, static) -{7,7}> half_Load_1057(i248 - 2, i242 + 1, i196, a141, 1, i6, env, static) :|: 2 <= i248 && 0 < a141 && i242 + 1 = i251' && 0 <= i251' && i248 - 2 = i249' && 1 <= i6 && 0 <= i249' && 0 <= i196 && 1 <= i251' && 0 <= i242 && 1 < i248 && 0 <= i248 && x = 1
log_LE_885(i206, iconst_1, i196, a117, i6, env, static) -{0,0}> log_LE_888(i206, 1, i196, a117, i6, env, static) :|: 0 <= i196 && 1 <= i6 && i206 <= 1 && 0 < a117 && iconst_1 = 1 && 0 <= i206
log_Load_877(i195, i196, a117, x, i6, env, static) -{2,2}> log_LE_885(i195, 1, i196, a117, i6, env, static) :|: 0 <= i195 && 0 < a117 && 0 <= i196 && 1 <= i6 && x = 1
main_Load_2(o1, env, static) -{23,23}> random_ArrayAccess_73(o1, 0, i5', env, static'3) :|: static'1 <= static''' + 1 && 0 <= i5' && 0 <= 2 && 0 < o1 && 0 <= static'2 && i5' < o1 && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1

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

Simplified expressions.

random_InvokeMethod_100(o12, a6, x, i6, env, static) -{7,7}> log_Load_877(i8', 0, a6, 1, i6, env, static) :|: i8' <= o12 && 0 <= 2 && 0 <= o12 && 0 <= i8' && 1 <= i6 && 0 < a6 && 0 <= 0 && 0 < o12 && 0 <= 1 && x = 1
was transformed to
random_InvokeMethod_100(o12, a6, x, i6, env, static) -{7,7}> log_Load_877(i8', 0, a6, 1, i6, env, static) :|: i8' <= o12 && 0 <= i8' && 1 <= i6 && 0 < a6 && 0 < o12 && x = 1

log_LE_885(i207, x, i196, a117, i6, env, static) -{7,7}> half_Load_1057(i207 - 2, 0, i196, a117, 1, i6, env, static) :|: 2 <= i207 && 0 <= 0 && i207 - 2 = i208' && 0 < a117 && 1 <= i6 && 0 <= i196 && 0 <= i208' && 0 <= 1 && 0 <= 2 && 0 <= i207 && 1 < i207 && x = 1
was transformed to
log_LE_885(i207, x, i196, a117, i6, env, static) -{7,7}> half_Load_1057(i207 - 2, 0, i196, a117, 1, i6, env, static) :|: 2 <= i207 && i207 - 2 = i208' && 0 < a117 && 1 <= i6 && 0 <= i196 && 0 <= i208' && 0 <= i207 && 1 < i207 && x = 1

main_Load_2(o1, env, static) -{23,23}> random_ArrayAccess_73(o1, 0, i5', env, static'3) :|: static'1 <= static''' + 1 && 0 <= i5' && 0 <= 2 && 0 < o1 && 0 <= static'2 && i5' < o1 && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
was transformed to
main_Load_2(o1, env, static) -{23,23}> random_ArrayAccess_73(o1, 0, i5', env, static'3) :|: static'1 <= static''' + 1 && 0 <= i5' && 0 < o1 && 0 <= static'2 && i5' < o1 && static'2 <= static'1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 <= static'3

(30) Obligation:

IntTrs with 11 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
log_LE_885(i206, iconst_1, i196, a117, i6, env, static) -{0,0}> log_LE_888(i206, 1, i196, a117, i6, env, static) :|: 0 <= i196 && 1 <= i6 && i206 <= 1 && 0 < a117 && iconst_1 = 1 && 0 <= i206
log_LE_885(i207, x, i196, a117, i6, env, static) -{7,7}> half_Load_1057(i207 - 2, 0, i196, a117, 1, i6, env, static) :|: 2 <= i207 && i207 - 2 = i208' && 0 < a117 && 1 <= i6 && 0 <= i196 && 0 <= i208' && 0 <= i207 && 1 < i207 && x = 1
half_Load_1057(i241, i242, i196, a141, x, i6, env, static) -{2,2}> half_LE_1062(i241, 1, i242, i196, a141, i6, env, static) :|: 0 < a141 && 0 <= i241 && 0 <= i242 && 0 <= i196 && 1 <= i6 && x = 1
random_InvokeMethod_100(o12, a6, x, i6, env, static) -{7,7}> log_Load_877(i8', 0, a6, 1, i6, env, static) :|: i8' <= o12 && 0 <= i8' && 1 <= i6 && 0 < a6 && 0 < o12 && 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_73(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
half_LE_1062(i248, x, i242, i196, a141, i6, env, static) -{7,7}> half_Load_1057(i248 - 2, i242 + 1, i196, a141, 1, i6, env, static) :|: 2 <= i248 && 0 < a141 && i242 + 1 = i251' && 0 <= i251' && i248 - 2 = i249' && 1 <= i6 && 0 <= i249' && 0 <= i196 && 1 <= i251' && 0 <= i242 && 1 < i248 && 0 <= i248 && x = 1
half_LE_1062(i247, x, i242, i196, a141, i6, env, static) -{8,8}> log_Load_877(i242 + 1, i196 + 1, a141, 1, i6, env, static) :|: 0 <= i242 && 0 < a141 && i242 + 1 = i250' && 1 <= i252' && i196 + 1 = i252' && 1 <= i6 && 0 <= i252' && 0 <= i247 && 1 <= i250' && 0 <= i196 && 0 <= i250' && i247 <= 1 && x = 1
random_ArrayAccess_73(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_74(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
main_Load_2(o1, env, static) -{23,23}> random_ArrayAccess_73(o1, 0, i5', env, static'3) :|: static'1 <= static''' + 1 && 0 <= i5' && 0 < o1 && 0 <= static'2 && i5' < o1 && static'2 <= static'1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 <= static'3
log_Load_877(i195, i196, a117, x, i6, env, static) -{2,2}> log_LE_885(i195, 1, i196, a117, i6, env, static) :|: 0 <= i195 && 0 < a117 && 0 <= i196 && 1 <= i6 && x = 1

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

Transformed 90 jbc graph edges to a weighted ITS with 90 rules.
Filtered conditions with variables that do not depend on the variables on the lhs or rhs without taking transitive dependencies into account.
Did no encode lower bounds for putfield and astore.

(32) Obligation:

IntTrs with 90 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_2(o1, env, static) -{0,0}> main_Load_3(o1, env, static) :|: 0 < o1
main_Load_3(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_6(o1, env, static) :|: 0 < o1
langle_clinit_rangle_ConstantStackPush_6(o1, env, static) -{1,1}> langle_clinit_rangle_ArrayCreate_15(iconst_0, o1, env, static) :|: iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ArrayCreate_15(iconst_0, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_17(a2, o1, iconst_0, env, static) :|: a2 = 2 && iconst_0 = 0 && 0 < a2 && 0 < o1
langle_clinit_rangle_FieldAccess_17(a2, o1, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_18(o1, env, static') :|: 0 <= a2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2 && 0 < o1
langle_clinit_rangle_New_18(o1, env, static) -{0,0}> langle_clinit_rangle_New_20(o1, env, static) :|: 0 < o1
langle_clinit_rangle_New_20(o1, env, static) -{0,0}> langle_clinit_rangle_New_22(o1, env, static) :|: 0 <= static && 0 < o1
langle_clinit_rangle_New_22(o1, env, static) -{1,1}> langle_clinit_rangle_Duplicate_24(o4, o1, env, static) :|: o4 = 1 && 0 < o4 && 0 < o1
langle_clinit_rangle_Duplicate_24(o4, o1, env, static) -{1,1}> langle_clinit_rangle_ConstantStackPush_26(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_ConstantStackPush_26(o4, o1, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_29(o4, NULL, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_clinit_rangle_InvokeMethod_29(o4, NULL, o1, env, static) -{1,1}> langle_init_rangle_Load_31(o4, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_init_rangle_Load_31(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_34(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_34(o4, o1, env, static) -{1,1}> langle_init_rangle_Load_35(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Load_35(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_39(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_39(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_41(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_41(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_44(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_44(o4, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_46(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_FieldAccess_46(o4, o1, env, static) -{1,1}> langle_clinit_rangle_Return_48(o1, env, static') :|: 0 <= o4 && 0 < o4 && 0 <= static && 0 < o1 && static' <= static + o4
langle_clinit_rangle_Return_48(o1, env, static) -{1,1}> main_Load_54(o1, env, static) :|: 0 < o1
main_Load_54(o1, env, static) -{0,0}> main_Load_55(o1, env, static) :|: 0 < o1
main_Load_55(o1, env, static) -{0,0}> main_Load_56(o1, env, static) :|: 0 <= static && 0 < o1
main_Load_56(o1, env, static) -{0,0}> main_Load_57(o1, env, static) :|: 0 < o1
main_Load_57(o1, env, static) -{0,0}> main_Load_58(o1, env, static) :|: 0 < o1
main_Load_58(o1, env, static) -{1,1}> main_FieldAccess_59(o1, env, static) :|: 0 < o1
main_FieldAccess_59(o1, env, static) -{0,0}> main_FieldAccess_60(o1, env, static) :|: 0 < o1
main_FieldAccess_60(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_61(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ConstantStackPush_61(o1, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_63(iconst_0, o1, NULL, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_FieldAccess_63(iconst_0, o1, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_64(o1, NULL, iconst_0, env, static') :|: NULL = 0 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0 && 0 < o1
langle_clinit_rangle_Return_64(o1, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_65(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
main_FieldAccess_65(o1, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_68(o1, iconst_0, env, static') :|: static' <= static + o1 && NULL = 0 && 0 <= o1 && iconst_0 = 0 && 0 <= static && 0 < o1
main_InvokeMethod_68(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_69(o1, iconst_0, env, static) :|: iconst_0 = 0 && 0 < o1
random_FieldAccess_69(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_70(o1, iconst_0, env, static) :|: 0 <= o1 && o1 <= static && iconst_0 = 0 && 0 <= static && 0 < o1
random_FieldAccess_70(o1, iconst_0, env, static) -{1,1}> random_ArrayAccess_72(o1, iconst_0, env, static) :|: -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static && 0 < o1
random_ArrayAccess_72(a6, iconst_0, env, static) -{0,0}> random_ArrayAccess_73(a6, iconst_0, i5, env, static) :|: i5 < a6 && iconst_0 = 0 && 0 < a6 && 0 <= i5
random_ArrayAccess_73(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_74(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_73(a6, iconst_0, i6, env, static) -{0,0}> random_ArrayAccess_75(a6, iconst_0, i6, env, static) :|: 0 <= i6 && 1 <= i6 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_75(a6, iconst_0, i6, env, static) -{1,1}> random_Store_78(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && o8 < a6 && iconst_0 = 0 && 0 < a6
random_Store_78(o8, a6, iconst_0, i6, env, static) -{1,1}> random_FieldAccess_80(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_0 = 0 && 0 < a6
random_FieldAccess_80(o8, a6, iconst_0, i6, env, static) -{1,1}> random_ConstantStackPush_85(iconst_0, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && 0 < a6 && iconst_0 <= static
random_ConstantStackPush_85(iconst_0, o8, a6, i6, env, static) -{1,1}> random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i6, env, static) -{1,1}> random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i6, env, static) -{1,1}> random_Load_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_111(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_Store_111(a6, i8, iconst_1, i6, env, static) -{1,1}> main_Load_113(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_Load_113(a6, i8, iconst_1, i6, env, static) -{1,1}> main_InvokeMethod_115(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_InvokeMethod_115(a6, i8, iconst_1, i6, env, static) -{1,1}> log_ConstantStackPush_118(i8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
log_ConstantStackPush_118(i8, a6, iconst_1, i6, env, static) -{1,1}> log_Store_125(iconst_0, i8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 0 <= i8
log_Store_125(iconst_0, i8, a6, iconst_1, i6, env, static) -{1,1}> log_Load_140(i8, iconst_0, a6, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 0 <= i8
log_Load_140(i8, iconst_0, a6, iconst_1, i6, env, static) -{0,0}> log_Load_462(i8, iconst_0, a6, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= iconst_0 && iconst_0 <= 1 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 0 <= i8
log_Load_462(i73, i74, a49, iconst_1, i6, env, static) -{0,0}> log_Load_635(i73, i74, a49, iconst_1, i6, env, static) :|: i74 <= 2 && 1 <= i6 && i74 <= 1 && iconst_1 = 1 && 0 < a49 && 0 <= i74 && 0 <= i73
log_Load_635(i133, i134, a83, iconst_1, i6, env, static) -{0,0}> log_Load_877(i133, i134, a83, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= i134 && 0 < a83 && 0 <= i133 && iconst_1 = 1 && i134 <= 2
log_Load_877(i195, i196, a117, iconst_1, i6, env, static) -{1,1}> log_ConstantStackPush_880(i195, i196, a117, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 < a117 && iconst_1 = 1 && 0 <= i195
log_ConstantStackPush_880(i195, i196, a117, iconst_1, i6, env, static) -{1,1}> log_LE_885(i195, iconst_1, i196, a117, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 < a117 && iconst_1 = 1 && 0 <= i195
log_LE_885(i206, iconst_1, i196, a117, i6, env, static) -{0,0}> log_LE_888(i206, iconst_1, i196, a117, i6, env, static) :|: 0 <= i196 && 1 <= i6 && i206 <= 1 && 0 < a117 && iconst_1 = 1 && 0 <= i206
log_LE_885(i207, iconst_1, i196, a117, i6, env, static) -{0,0}> log_LE_890(i207, iconst_1, i196, a117, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 < a117 && 2 <= i207 && iconst_1 = 1 && 0 <= i207
log_LE_890(i207, iconst_1, i196, a117, i6, env, static) -{1,1}> log_Load_893(i207, i196, a117, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 < a117 && 2 <= i207 && iconst_1 = 1 && iconst_1 < i207
log_Load_893(i207, i196, a117, iconst_1, i6, env, static) -{1,1}> log_ConstantStackPush_896(i207, i196, a117, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 < a117 && 2 <= i207 && iconst_1 = 1
log_ConstantStackPush_896(i207, i196, a117, iconst_1, i6, env, static) -{1,1}> log_IntArithmetic_898(i207, iconst_2, i196, a117, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 < a117 && 2 <= i207 && iconst_1 = 1 && iconst_2 = 2
log_IntArithmetic_898(i207, iconst_2, i196, a117, iconst_1, i6, env, static) -{1,1}> log_InvokeMethod_901(i208, i196, a117, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 <= i208 && 0 < a117 && 2 <= i207 && i207 - iconst_2 = i208 && iconst_1 = 1 && iconst_2 = 2
log_InvokeMethod_901(i208, i196, a117, iconst_1, i6, env, static) -{1,1}> half_ConstantStackPush_903(i208, i196, a117, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 <= i208 && 0 < a117 && iconst_1 = 1
half_ConstantStackPush_903(i208, i196, a117, iconst_1, i6, env, static) -{1,1}> half_Store_904(iconst_0, i208, i196, a117, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 <= i208 && 0 < a117 && iconst_1 = 1 && iconst_0 = 0
half_Store_904(iconst_0, i208, i196, a117, iconst_1, i6, env, static) -{1,1}> half_Load_905(i208, iconst_0, i196, a117, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 <= i208 && 0 < a117 && iconst_1 = 1 && iconst_0 = 0
half_Load_905(i208, iconst_0, i196, a117, iconst_1, i6, env, static) -{0,0}> half_Load_977(i208, iconst_0, i196, a117, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 <= iconst_0 && 0 <= i208 && 0 < a117 && iconst_0 <= 1 && iconst_1 = 1 && iconst_0 = 0
half_Load_977(i215, i216, i196, a125, iconst_1, i6, env, static) -{0,0}> half_Load_1015(i215, i216, i196, a125, iconst_1, i6, env, static) :|: 0 <= i196 && 0 <= i215 && 1 <= i6 && i216 <= 1 && 0 < a125 && i216 <= 2 && iconst_1 = 1 && 0 <= i216
half_Load_1015(i229, i230, i196, a133, iconst_1, i6, env, static) -{0,0}> half_Load_1057(i229, i230, i196, a133, iconst_1, i6, env, static) :|: 0 <= i196 && i230 <= 2 && 1 <= i6 && 0 <= i229 && iconst_1 = 1 && 0 < a133 && 0 <= i230
half_Load_1057(i241, i242, i196, a141, iconst_1, i6, env, static) -{1,1}> half_ConstantStackPush_1060(i241, i242, i196, a141, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 <= i242 && iconst_1 = 1 && 0 <= i241 && 0 < a141
half_ConstantStackPush_1060(i241, i242, i196, a141, iconst_1, i6, env, static) -{1,1}> half_LE_1062(i241, iconst_1, i242, i196, a141, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 <= i242 && iconst_1 = 1 && 0 <= i241 && 0 < a141
half_LE_1062(i247, iconst_1, i242, i196, a141, i6, env, static) -{0,0}> half_LE_1067(i247, iconst_1, i242, i196, a141, i6, env, static) :|: 0 <= i196 && i247 <= 1 && 0 <= i247 && 1 <= i6 && 0 <= i242 && iconst_1 = 1 && 0 < a141
half_LE_1062(i248, iconst_1, i242, i196, a141, i6, env, static) -{0,0}> half_LE_1069(i248, iconst_1, i242, i196, a141, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 2 <= i248 && 0 <= i242 && iconst_1 = 1 && 0 <= i248 && 0 < a141
half_LE_1067(i247, iconst_1, i242, i196, a141, i6, env, static) -{1,1}> half_Load_1076(i242, i196, a141, iconst_1, i6, env, static) :|: 0 <= i196 && i247 <= 1 && 0 <= i247 && 1 <= i6 && 0 <= i242 && iconst_1 = 1 && i247 <= iconst_1 && 0 < a141
half_LE_1069(i248, iconst_1, i242, i196, a141, i6, env, static) -{1,1}> half_Load_1086(i248, i242, i196, a141, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 2 <= i248 && 0 <= i242 && iconst_1 = 1 && iconst_1 < i248 && 0 < a141
half_Load_1076(i242, i196, a141, iconst_1, i6, env, static) -{1,1}> half_Return_1088(i242, i196, a141, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 <= i242 && iconst_1 = 1 && 0 < a141
half_Load_1086(i248, i242, i196, a141, iconst_1, i6, env, static) -{1,1}> half_ConstantStackPush_1090(i248, i242, i196, a141, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 2 <= i248 && 0 <= i242 && iconst_1 = 1 && 0 < a141
half_Return_1088(i242, i196, a141, iconst_1, i6, env, static) -{1,1}> log_ConstantStackPush_1093(i242, i196, a141, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 <= i242 && iconst_1 = 1 && 0 < a141
half_ConstantStackPush_1090(i248, i242, i196, a141, iconst_1, i6, env, static) -{1,1}> half_IntArithmetic_1095(i248, iconst_2, i242, i196, a141, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 2 <= i248 && 0 <= i242 && iconst_1 = 1 && iconst_2 = 2 && 0 < a141
log_ConstantStackPush_1093(i242, i196, a141, iconst_1, i6, env, static) -{1,1}> log_IntArithmetic_1097(i242, iconst_1, i196, a141, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 <= i242 && iconst_1 = 1 && 0 < a141
half_IntArithmetic_1095(i248, iconst_2, i242, i196, a141, iconst_1, i6, env, static) -{1,1}> half_Store_1099(i249, i242, i196, a141, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 2 <= i248 && 0 <= i249 && 0 <= i242 && iconst_1 = 1 && i248 - iconst_2 = i249 && iconst_2 = 2 && 0 < a141
log_IntArithmetic_1097(i242, iconst_1, i196, a141, i6, env, static) -{1,1}> log_Store_1100(i250, i196, a141, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 1 <= i250 && 0 <= i242 && iconst_1 = 1 && i242 + iconst_1 = i250 && 0 < a141
half_Store_1099(i249, i242, i196, a141, iconst_1, i6, env, static) -{1,1}> half_Inc_1101(i249, i242, i196, a141, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 <= i249 && 0 <= i242 && iconst_1 = 1 && 0 < a141
log_Store_1100(i250, i196, a141, iconst_1, i6, env, static) -{1,1}> log_Inc_1102(i250, i196, a141, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 1 <= i250 && iconst_1 = 1 && 0 < a141
half_Inc_1101(i249, i242, i196, a141, iconst_1, i6, env, static) -{1,1}> half_JMP_1103(i249, i251, i196, a141, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 1 <= i251 && 0 <= i249 && 0 <= i242 && iconst_1 = 1 && i242 + 1 = i251 && 0 < a141
log_Inc_1102(i250, i196, a141, iconst_1, i6, env, static) -{1,1}> log_JMP_1105(i250, i252, a141, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 1 <= i250 && iconst_1 = 1 && 1 <= i252 && i196 + 1 = i252 && 0 < a141
half_JMP_1103(i249, i251, i196, a141, iconst_1, i6, env, static) -{1,1}> half_Load_1106(i249, i251, i196, a141, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 1 <= i251 && 0 <= i249 && iconst_1 = 1 && 0 < a141
log_JMP_1105(i250, i252, a141, iconst_1, i6, env, static) -{1,1}> log_Load_1108(i250, i252, a141, iconst_1, i6, env, static) :|: 1 <= i6 && 1 <= i250 && iconst_1 = 1 && 1 <= i252 && 0 < a141
half_Load_1106(i249, i251, i196, a141, iconst_1, i6, env, static) -{0,0}> half_Load_1057(i249, i251, i196, a141, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 1 <= i251 && 0 <= i249 && iconst_1 = 1 && 0 <= i251 && 0 < a141
log_Load_1108(i250, i252, a141, iconst_1, i6, env, static) -{0,0}> log_Load_877(i250, i252, a141, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= i250 && 1 <= i250 && 0 <= i252 && iconst_1 = 1 && 1 <= i252 && 0 < a141

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

obtained
main_Load_2(o1, env, static) -{23,23}> random_ArrayAccess_73(o1, 0, i5', env, static'3) :|: static'1 <= static''' + 1 && 0 <= i5' && 0 <= 2 && 0 < o1 && 0 <= static'2 && i5' < o1 && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
by chaining
main_Load_2(o1, env, static) -{0,0}> main_Load_3(o1, env, static) :|: 0 < o1
main_Load_3(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_6(o1, env, static) :|: 0 < o1
langle_clinit_rangle_ConstantStackPush_6(o1, env, static) -{1,1}> langle_clinit_rangle_ArrayCreate_15(iconst_0, o1, env, static) :|: iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ArrayCreate_15(iconst_0, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_17(a2, o1, iconst_0, env, static) :|: a2 = 2 && iconst_0 = 0 && 0 < a2 && 0 < o1
langle_clinit_rangle_FieldAccess_17(a2, o1, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_18(o1, env, static') :|: 0 <= a2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2 && 0 < o1
langle_clinit_rangle_New_18(o1, env, static) -{0,0}> langle_clinit_rangle_New_20(o1, env, static) :|: 0 < o1
langle_clinit_rangle_New_20(o1, env, static) -{0,0}> langle_clinit_rangle_New_22(o1, env, static) :|: 0 <= static && 0 < o1
langle_clinit_rangle_New_22(o1, env, static) -{1,1}> langle_clinit_rangle_Duplicate_24(o4, o1, env, static) :|: o4 = 1 && 0 < o4 && 0 < o1
langle_clinit_rangle_Duplicate_24(o4, o1, env, static) -{1,1}> langle_clinit_rangle_ConstantStackPush_26(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_ConstantStackPush_26(o4, o1, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_29(o4, NULL, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_clinit_rangle_InvokeMethod_29(o4, NULL, o1, env, static) -{1,1}> langle_init_rangle_Load_31(o4, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_init_rangle_Load_31(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_34(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_34(o4, o1, env, static) -{1,1}> langle_init_rangle_Load_35(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Load_35(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_39(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_39(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_41(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_41(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_44(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_44(o4, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_46(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_FieldAccess_46(o4, o1, env, static) -{1,1}> langle_clinit_rangle_Return_48(o1, env, static') :|: 0 <= o4 && 0 < o4 && 0 <= static && 0 < o1 && static' <= static + o4
langle_clinit_rangle_Return_48(o1, env, static) -{1,1}> main_Load_54(o1, env, static) :|: 0 < o1
main_Load_54(o1, env, static) -{0,0}> main_Load_55(o1, env, static) :|: 0 < o1
main_Load_55(o1, env, static) -{0,0}> main_Load_56(o1, env, static) :|: 0 <= static && 0 < o1
main_Load_56(o1, env, static) -{0,0}> main_Load_57(o1, env, static) :|: 0 < o1
main_Load_57(o1, env, static) -{0,0}> main_Load_58(o1, env, static) :|: 0 < o1
main_Load_58(o1, env, static) -{1,1}> main_FieldAccess_59(o1, env, static) :|: 0 < o1
main_FieldAccess_59(o1, env, static) -{0,0}> main_FieldAccess_60(o1, env, static) :|: 0 < o1
main_FieldAccess_60(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_61(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ConstantStackPush_61(o1, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_63(iconst_0, o1, NULL, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_FieldAccess_63(iconst_0, o1, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_64(o1, NULL, iconst_0, env, static') :|: NULL = 0 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0 && 0 < o1
langle_clinit_rangle_Return_64(o1, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_65(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
main_FieldAccess_65(o1, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_68(o1, iconst_0, env, static') :|: static' <= static + o1 && NULL = 0 && 0 <= o1 && iconst_0 = 0 && 0 <= static && 0 < o1
main_InvokeMethod_68(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_69(o1, iconst_0, env, static) :|: iconst_0 = 0 && 0 < o1
random_FieldAccess_69(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_70(o1, iconst_0, env, static) :|: 0 <= o1 && o1 <= static && iconst_0 = 0 && 0 <= static && 0 < o1
random_FieldAccess_70(o1, iconst_0, env, static) -{1,1}> random_ArrayAccess_72(o1, iconst_0, env, static) :|: -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static && 0 < o1
random_ArrayAccess_72(a6, iconst_0, env, static) -{0,0}> random_ArrayAccess_73(a6, iconst_0, i5, env, static) :|: i5 < a6 && iconst_0 = 0 && 0 < a6 && 0 <= i5

obtained
random_ArrayAccess_73(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_73(a6, iconst_0, i6, env, static) -{0,0}> random_ArrayAccess_75(a6, iconst_0, i6, env, static) :|: 0 <= i6 && 1 <= i6 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_75(a6, iconst_0, i6, env, static) -{1,1}> random_Store_78(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && o8 < a6 && iconst_0 = 0 && 0 < a6
random_Store_78(o8, a6, iconst_0, i6, env, static) -{1,1}> random_FieldAccess_80(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_0 = 0 && 0 < a6
random_FieldAccess_80(o8, a6, iconst_0, i6, env, static) -{1,1}> random_ConstantStackPush_85(iconst_0, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && 0 < a6 && iconst_0 <= static
random_ConstantStackPush_85(iconst_0, o8, a6, i6, env, static) -{1,1}> random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i6, env, static) -{1,1}> random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i6, env, static) -{1,1}> random_Load_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) -{7,7}> log_Load_877(i8', 0, a6, 1, i6, env, static) :|: i8' <= o12 && 0 <= 2 && 0 <= o12 && 0 <= i8' && 1 <= i6 && 0 < a6 && 0 <= 0 && 0 < o12 && 0 <= 1
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_111(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_Store_111(a6, i8, iconst_1, i6, env, static) -{1,1}> main_Load_113(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_Load_113(a6, i8, iconst_1, i6, env, static) -{1,1}> main_InvokeMethod_115(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_InvokeMethod_115(a6, i8, iconst_1, i6, env, static) -{1,1}> log_ConstantStackPush_118(i8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
log_ConstantStackPush_118(i8, a6, iconst_1, i6, env, static) -{1,1}> log_Store_125(iconst_0, i8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 0 <= i8
log_Store_125(iconst_0, i8, a6, iconst_1, i6, env, static) -{1,1}> log_Load_140(i8, iconst_0, a6, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 0 <= i8
log_Load_140(i8, iconst_0, a6, iconst_1, i6, env, static) -{0,0}> log_Load_462(i8, iconst_0, a6, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= iconst_0 && iconst_0 <= 1 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 0 <= i8
log_Load_462(i73, i74, a49, iconst_1, i6, env, static) -{0,0}> log_Load_635(i73, i74, a49, iconst_1, i6, env, static) :|: i74 <= 2 && 1 <= i6 && i74 <= 1 && iconst_1 = 1 && 0 < a49 && 0 <= i74 && 0 <= i73
log_Load_635(i133, i134, a83, iconst_1, i6, env, static) -{0,0}> log_Load_877(i133, i134, a83, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= i134 && 0 < a83 && 0 <= i133 && iconst_1 = 1 && i134 <= 2

obtained
log_Load_877(i195, i196, a117, 1, i6, env, static) -{2,2}> log_LE_885(i195, 1, i196, a117, i6, env, static) :|: 0 <= i195 && 0 < a117 && 0 <= i196 && 1 <= i6
by chaining
log_Load_877(i195, i196, a117, iconst_1, i6, env, static) -{1,1}> log_ConstantStackPush_880(i195, i196, a117, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 < a117 && iconst_1 = 1 && 0 <= i195
log_ConstantStackPush_880(i195, i196, a117, iconst_1, i6, env, static) -{1,1}> log_LE_885(i195, iconst_1, i196, a117, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 < a117 && iconst_1 = 1 && 0 <= i195

obtained
log_LE_885(i207, 1, i196, a117, i6, env, static) -{7,7}> half_Load_1057(i208', 0, i196, a117, 1, i6, env, static) :|: 2 <= i207 && 0 <= 0 && i207 - 2 = i208' && 0 < a117 && 1 <= i6 && 0 <= i196 && 0 <= i208' && 0 <= 1 && 0 <= 2 && 0 <= i207 && 1 < i207
by chaining
log_LE_885(i207, iconst_1, i196, a117, i6, env, static) -{0,0}> log_LE_890(i207, iconst_1, i196, a117, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 < a117 && 2 <= i207 && iconst_1 = 1 && 0 <= i207
log_LE_890(i207, iconst_1, i196, a117, i6, env, static) -{1,1}> log_Load_893(i207, i196, a117, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 < a117 && 2 <= i207 && iconst_1 = 1 && iconst_1 < i207
log_Load_893(i207, i196, a117, iconst_1, i6, env, static) -{1,1}> log_ConstantStackPush_896(i207, i196, a117, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 < a117 && 2 <= i207 && iconst_1 = 1
log_ConstantStackPush_896(i207, i196, a117, iconst_1, i6, env, static) -{1,1}> log_IntArithmetic_898(i207, iconst_2, i196, a117, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 < a117 && 2 <= i207 && iconst_1 = 1 && iconst_2 = 2
log_IntArithmetic_898(i207, iconst_2, i196, a117, iconst_1, i6, env, static) -{1,1}> log_InvokeMethod_901(i208, i196, a117, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 <= i208 && 0 < a117 && 2 <= i207 && i207 - iconst_2 = i208 && iconst_1 = 1 && iconst_2 = 2
log_InvokeMethod_901(i208, i196, a117, iconst_1, i6, env, static) -{1,1}> half_ConstantStackPush_903(i208, i196, a117, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 <= i208 && 0 < a117 && iconst_1 = 1
half_ConstantStackPush_903(i208, i196, a117, iconst_1, i6, env, static) -{1,1}> half_Store_904(iconst_0, i208, i196, a117, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 <= i208 && 0 < a117 && iconst_1 = 1 && iconst_0 = 0
half_Store_904(iconst_0, i208, i196, a117, iconst_1, i6, env, static) -{1,1}> half_Load_905(i208, iconst_0, i196, a117, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 <= i208 && 0 < a117 && iconst_1 = 1 && iconst_0 = 0
half_Load_905(i208, iconst_0, i196, a117, iconst_1, i6, env, static) -{0,0}> half_Load_977(i208, iconst_0, i196, a117, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 <= iconst_0 && 0 <= i208 && 0 < a117 && iconst_0 <= 1 && iconst_1 = 1 && iconst_0 = 0
half_Load_977(i215, i216, i196, a125, iconst_1, i6, env, static) -{0,0}> half_Load_1015(i215, i216, i196, a125, iconst_1, i6, env, static) :|: 0 <= i196 && 0 <= i215 && 1 <= i6 && i216 <= 1 && 0 < a125 && i216 <= 2 && iconst_1 = 1 && 0 <= i216
half_Load_1015(i229, i230, i196, a133, iconst_1, i6, env, static) -{0,0}> half_Load_1057(i229, i230, i196, a133, iconst_1, i6, env, static) :|: 0 <= i196 && i230 <= 2 && 1 <= i6 && 0 <= i229 && iconst_1 = 1 && 0 < a133 && 0 <= i230

obtained
half_Load_1057(i241, i242, i196, a141, 1, i6, env, static) -{2,2}> half_LE_1062(i241, 1, i242, i196, a141, i6, env, static) :|: 0 < a141 && 0 <= i241 && 0 <= i242 && 0 <= i196 && 1 <= i6
by chaining
half_Load_1057(i241, i242, i196, a141, iconst_1, i6, env, static) -{1,1}> half_ConstantStackPush_1060(i241, i242, i196, a141, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 <= i242 && iconst_1 = 1 && 0 <= i241 && 0 < a141
half_ConstantStackPush_1060(i241, i242, i196, a141, iconst_1, i6, env, static) -{1,1}> half_LE_1062(i241, iconst_1, i242, i196, a141, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 <= i242 && iconst_1 = 1 && 0 <= i241 && 0 < a141

obtained
half_LE_1062(i248, 1, i242, i196, a141, i6, env, static) -{7,7}> half_Load_1057(i249', i251', i196, a141, 1, i6, env, static) :|: 2 <= i248 && 0 < a141 && i242 + 1 = i251' && 0 <= i251' && i248 - 2 = i249' && 1 <= i6 && 0 <= i249' && 0 <= i196 && 1 <= i251' && 0 <= i242 && 1 < i248 && 0 <= i248
by chaining
half_LE_1062(i248, iconst_1, i242, i196, a141, i6, env, static) -{0,0}> half_LE_1069(i248, iconst_1, i242, i196, a141, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 2 <= i248 && 0 <= i242 && iconst_1 = 1 && 0 <= i248 && 0 < a141
half_LE_1069(i248, iconst_1, i242, i196, a141, i6, env, static) -{1,1}> half_Load_1086(i248, i242, i196, a141, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 2 <= i248 && 0 <= i242 && iconst_1 = 1 && iconst_1 < i248 && 0 < a141
half_Load_1086(i248, i242, i196, a141, iconst_1, i6, env, static) -{1,1}> half_ConstantStackPush_1090(i248, i242, i196, a141, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 2 <= i248 && 0 <= i242 && iconst_1 = 1 && 0 < a141
half_ConstantStackPush_1090(i248, i242, i196, a141, iconst_1, i6, env, static) -{1,1}> half_IntArithmetic_1095(i248, iconst_2, i242, i196, a141, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 2 <= i248 && 0 <= i242 && iconst_1 = 1 && iconst_2 = 2 && 0 < a141
half_IntArithmetic_1095(i248, iconst_2, i242, i196, a141, iconst_1, i6, env, static) -{1,1}> half_Store_1099(i249, i242, i196, a141, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 2 <= i248 && 0 <= i249 && 0 <= i242 && iconst_1 = 1 && i248 - iconst_2 = i249 && iconst_2 = 2 && 0 < a141
half_Store_1099(i249, i242, i196, a141, iconst_1, i6, env, static) -{1,1}> half_Inc_1101(i249, i242, i196, a141, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 <= i249 && 0 <= i242 && iconst_1 = 1 && 0 < a141
half_Inc_1101(i249, i242, i196, a141, iconst_1, i6, env, static) -{1,1}> half_JMP_1103(i249, i251, i196, a141, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 1 <= i251 && 0 <= i249 && 0 <= i242 && iconst_1 = 1 && i242 + 1 = i251 && 0 < a141
half_JMP_1103(i249, i251, i196, a141, iconst_1, i6, env, static) -{1,1}> half_Load_1106(i249, i251, i196, a141, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 1 <= i251 && 0 <= i249 && iconst_1 = 1 && 0 < a141
half_Load_1106(i249, i251, i196, a141, iconst_1, i6, env, static) -{0,0}> half_Load_1057(i249, i251, i196, a141, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 1 <= i251 && 0 <= i249 && iconst_1 = 1 && 0 <= i251 && 0 < a141

obtained
half_LE_1062(i247, 1, i242, i196, a141, i6, env, static) -{8,8}> log_Load_877(i250', i252', a141, 1, i6, env, static) :|: 0 <= i242 && 0 < a141 && i242 + 1 = i250' && 1 <= i252' && i196 + 1 = i252' && 1 <= i6 && 0 <= i252' && 0 <= i247 && 1 <= i250' && 0 <= i196 && 0 <= i250' && i247 <= 1
by chaining
half_LE_1062(i247, iconst_1, i242, i196, a141, i6, env, static) -{0,0}> half_LE_1067(i247, iconst_1, i242, i196, a141, i6, env, static) :|: 0 <= i196 && i247 <= 1 && 0 <= i247 && 1 <= i6 && 0 <= i242 && iconst_1 = 1 && 0 < a141
half_LE_1067(i247, iconst_1, i242, i196, a141, i6, env, static) -{1,1}> half_Load_1076(i242, i196, a141, iconst_1, i6, env, static) :|: 0 <= i196 && i247 <= 1 && 0 <= i247 && 1 <= i6 && 0 <= i242 && iconst_1 = 1 && i247 <= iconst_1 && 0 < a141
half_Load_1076(i242, i196, a141, iconst_1, i6, env, static) -{1,1}> half_Return_1088(i242, i196, a141, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 <= i242 && iconst_1 = 1 && 0 < a141
half_Return_1088(i242, i196, a141, iconst_1, i6, env, static) -{1,1}> log_ConstantStackPush_1093(i242, i196, a141, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 <= i242 && iconst_1 = 1 && 0 < a141
log_ConstantStackPush_1093(i242, i196, a141, iconst_1, i6, env, static) -{1,1}> log_IntArithmetic_1097(i242, iconst_1, i196, a141, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 0 <= i242 && iconst_1 = 1 && 0 < a141
log_IntArithmetic_1097(i242, iconst_1, i196, a141, i6, env, static) -{1,1}> log_Store_1100(i250, i196, a141, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 1 <= i250 && 0 <= i242 && iconst_1 = 1 && i242 + iconst_1 = i250 && 0 < a141
log_Store_1100(i250, i196, a141, iconst_1, i6, env, static) -{1,1}> log_Inc_1102(i250, i196, a141, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 1 <= i250 && iconst_1 = 1 && 0 < a141
log_Inc_1102(i250, i196, a141, iconst_1, i6, env, static) -{1,1}> log_JMP_1105(i250, i252, a141, iconst_1, i6, env, static) :|: 0 <= i196 && 1 <= i6 && 1 <= i250 && iconst_1 = 1 && 1 <= i252 && i196 + 1 = i252 && 0 < a141
log_JMP_1105(i250, i252, a141, iconst_1, i6, env, static) -{1,1}> log_Load_1108(i250, i252, a141, iconst_1, i6, env, static) :|: 1 <= i6 && 1 <= i250 && iconst_1 = 1 && 1 <= i252 && 0 < a141
log_Load_1108(i250, i252, a141, iconst_1, i6, env, static) -{0,0}> log_Load_877(i250, i252, a141, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= i250 && 1 <= i250 && 0 <= i252 && iconst_1 = 1 && 1 <= i252 && 0 < a141

(34) Obligation:

IntTrs with 11 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_2(o1, env, static) -{23,23}> random_ArrayAccess_73(o1, 0, i5', env, static'3) :|: static'1 <= static''' + 1 && 0 <= i5' && 0 <= 2 && 0 < o1 && 0 <= static'2 && i5' < o1 && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
random_ArrayAccess_73(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_74(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_73(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) -{7,7}> log_Load_877(i8', 0, a6, 1, i6, env, static) :|: i8' <= o12 && 0 <= 2 && 0 <= o12 && 0 <= i8' && 1 <= i6 && 0 < a6 && 0 <= 0 && 0 < o12 && 0 <= 1
log_Load_877(i195, i196, a117, 1, i6, env, static) -{2,2}> log_LE_885(i195, 1, i196, a117, i6, env, static) :|: 0 <= i195 && 0 < a117 && 0 <= i196 && 1 <= i6
log_LE_885(i206, iconst_1, i196, a117, i6, env, static) -{0,0}> log_LE_888(i206, iconst_1, i196, a117, i6, env, static) :|: 0 <= i196 && 1 <= i6 && i206 <= 1 && 0 < a117 && iconst_1 = 1 && 0 <= i206
log_LE_885(i207, 1, i196, a117, i6, env, static) -{7,7}> half_Load_1057(i208', 0, i196, a117, 1, i6, env, static) :|: 2 <= i207 && 0 <= 0 && i207 - 2 = i208' && 0 < a117 && 1 <= i6 && 0 <= i196 && 0 <= i208' && 0 <= 1 && 0 <= 2 && 0 <= i207 && 1 < i207
half_Load_1057(i241, i242, i196, a141, 1, i6, env, static) -{2,2}> half_LE_1062(i241, 1, i242, i196, a141, i6, env, static) :|: 0 < a141 && 0 <= i241 && 0 <= i242 && 0 <= i196 && 1 <= i6
half_LE_1062(i248, 1, i242, i196, a141, i6, env, static) -{7,7}> half_Load_1057(i249', i251', i196, a141, 1, i6, env, static) :|: 2 <= i248 && 0 < a141 && i242 + 1 = i251' && 0 <= i251' && i248 - 2 = i249' && 1 <= i6 && 0 <= i249' && 0 <= i196 && 1 <= i251' && 0 <= i242 && 1 < i248 && 0 <= i248
half_LE_1062(i247, 1, i242, i196, a141, i6, env, static) -{8,8}> log_Load_877(i250', i252', a141, 1, i6, env, static) :|: 0 <= i242 && 0 < a141 && i242 + 1 = i250' && 1 <= i252' && i196 + 1 = i252' && 1 <= i6 && 0 <= i252' && 0 <= i247 && 1 <= i250' && 0 <= i196 && 0 <= i250' && i247 <= 1

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

Moved arithmethic from lhss to constraints.

half_LE_1062(i248, 1, i242, i196, a141, i6, env, static) -{7,7}> half_Load_1057(i249', i251', i196, a141, 1, i6, env, static) :|: 2 <= i248 && 0 < a141 && i242 + 1 = i251' && 0 <= i251' && i248 - 2 = i249' && 1 <= i6 && 0 <= i249' && 0 <= i196 && 1 <= i251' && 0 <= i242 && 1 < i248 && 0 <= i248
was transformed to
half_LE_1062(i248, x, i242, i196, a141, i6, env, static) -{7,7}> half_Load_1057(i249', i251', i196, a141, 1, i6, env, static) :|: 2 <= i248 && 0 < a141 && i242 + 1 = i251' && 0 <= i251' && i248 - 2 = i249' && 1 <= i6 && 0 <= i249' && 0 <= i196 && 1 <= i251' && 0 <= i242 && 1 < i248 && 0 <= i248 && x = 1

log_Load_877(i195, i196, a117, 1, i6, env, static) -{2,2}> log_LE_885(i195, 1, i196, a117, i6, env, static) :|: 0 <= i195 && 0 < a117 && 0 <= i196 && 1 <= i6
was transformed to
log_Load_877(i195, i196, a117, x, i6, env, static) -{2,2}> log_LE_885(i195, 1, i196, a117, i6, env, static) :|: 0 <= i195 && 0 < a117 && 0 <= i196 && 1 <= i6 && x = 1

random_InvokeMethod_100(o12, a6, 1, i6, env, static) -{7,7}> log_Load_877(i8', 0, a6, 1, i6, env, static) :|: i8' <= o12 && 0 <= 2 && 0 <= o12 && 0 <= i8' && 1 <= i6 && 0 < a6 && 0 <= 0 && 0 < o12 && 0 <= 1
was transformed to
random_InvokeMethod_100(o12, a6, x, i6, env, static) -{7,7}> log_Load_877(i8', 0, a6, 1, i6, env, static) :|: i8' <= o12 && 0 <= 2 && 0 <= o12 && 0 <= i8' && 1 <= i6 && 0 < a6 && 0 <= 0 && 0 < o12 && 0 <= 1 && x = 1

log_LE_885(i207, 1, i196, a117, i6, env, static) -{7,7}> half_Load_1057(i208', 0, i196, a117, 1, i6, env, static) :|: 2 <= i207 && 0 <= 0 && i207 - 2 = i208' && 0 < a117 && 1 <= i6 && 0 <= i196 && 0 <= i208' && 0 <= 1 && 0 <= 2 && 0 <= i207 && 1 < i207
was transformed to
log_LE_885(i207, x, i196, a117, i6, env, static) -{7,7}> half_Load_1057(i208', 0, i196, a117, 1, i6, env, static) :|: 2 <= i207 && 0 <= 0 && i207 - 2 = i208' && 0 < a117 && 1 <= i6 && 0 <= i196 && 0 <= i208' && 0 <= 1 && 0 <= 2 && 0 <= i207 && 1 < i207 && x = 1

random_ArrayAccess_73(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_73(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

half_LE_1062(i247, 1, i242, i196, a141, i6, env, static) -{8,8}> log_Load_877(i250', i252', a141, 1, i6, env, static) :|: 0 <= i242 && 0 < a141 && i242 + 1 = i250' && 1 <= i252' && i196 + 1 = i252' && 1 <= i6 && 0 <= i252' && 0 <= i247 && 1 <= i250' && 0 <= i196 && 0 <= i250' && i247 <= 1
was transformed to
half_LE_1062(i247, x, i242, i196, a141, i6, env, static) -{8,8}> log_Load_877(i250', i252', a141, 1, i6, env, static) :|: 0 <= i242 && 0 < a141 && i242 + 1 = i250' && 1 <= i252' && i196 + 1 = i252' && 1 <= i6 && 0 <= i252' && 0 <= i247 && 1 <= i250' && 0 <= i196 && 0 <= i250' && i247 <= 1 && x = 1

half_Load_1057(i241, i242, i196, a141, 1, i6, env, static) -{2,2}> half_LE_1062(i241, 1, i242, i196, a141, i6, env, static) :|: 0 < a141 && 0 <= i241 && 0 <= i242 && 0 <= i196 && 1 <= i6
was transformed to
half_Load_1057(i241, i242, i196, a141, x, i6, env, static) -{2,2}> half_LE_1062(i241, 1, i242, i196, a141, i6, env, static) :|: 0 < a141 && 0 <= i241 && 0 <= i242 && 0 <= i196 && 1 <= i6 && x = 1

(36) Obligation:

IntTrs with 11 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
half_LE_1062(i248, x, i242, i196, a141, i6, env, static) -{7,7}> half_Load_1057(i249', i251', i196, a141, 1, i6, env, static) :|: 2 <= i248 && 0 < a141 && i242 + 1 = i251' && 0 <= i251' && i248 - 2 = i249' && 1 <= i6 && 0 <= i249' && 0 <= i196 && 1 <= i251' && 0 <= i242 && 1 < i248 && 0 <= i248 && x = 1
random_ArrayAccess_73(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_74(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6
log_Load_877(i195, i196, a117, x, i6, env, static) -{2,2}> log_LE_885(i195, 1, i196, a117, i6, env, static) :|: 0 <= i195 && 0 < a117 && 0 <= i196 && 1 <= i6 && x = 1
random_InvokeMethod_100(o12, a6, x, i6, env, static) -{7,7}> log_Load_877(i8', 0, a6, 1, i6, env, static) :|: i8' <= o12 && 0 <= 2 && 0 <= o12 && 0 <= i8' && 1 <= i6 && 0 < a6 && 0 <= 0 && 0 < o12 && 0 <= 1 && 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
log_LE_885(i207, x, i196, a117, i6, env, static) -{7,7}> half_Load_1057(i208', 0, i196, a117, 1, i6, env, static) :|: 2 <= i207 && 0 <= 0 && i207 - 2 = i208' && 0 < a117 && 1 <= i6 && 0 <= i196 && 0 <= i208' && 0 <= 1 && 0 <= 2 && 0 <= i207 && 1 < i207 && x = 1
random_ArrayAccess_73(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
log_LE_885(i206, iconst_1, i196, a117, i6, env, static) -{0,0}> log_LE_888(i206, iconst_1, i196, a117, i6, env, static) :|: 0 <= i196 && 1 <= i6 && i206 <= 1 && 0 < a117 && iconst_1 = 1 && 0 <= i206
half_LE_1062(i247, x, i242, i196, a141, i6, env, static) -{8,8}> log_Load_877(i250', i252', a141, 1, i6, env, static) :|: 0 <= i242 && 0 < a141 && i242 + 1 = i250' && 1 <= i252' && i196 + 1 = i252' && 1 <= i6 && 0 <= i252' && 0 <= i247 && 1 <= i250' && 0 <= i196 && 0 <= i250' && i247 <= 1 && x = 1
main_Load_2(o1, env, static) -{23,23}> random_ArrayAccess_73(o1, 0, i5', env, static'3) :|: static'1 <= static''' + 1 && 0 <= i5' && 0 <= 2 && 0 < o1 && 0 <= static'2 && i5' < o1 && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
half_Load_1057(i241, i242, i196, a141, x, i6, env, static) -{2,2}> half_LE_1062(i241, 1, i242, i196, a141, i6, env, static) :|: 0 < a141 && 0 <= i241 && 0 <= i242 && 0 <= i196 && 1 <= i6 && x = 1

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

Linearized lhss.

random_ArrayAccess_73(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_74(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6
was transformed to
random_ArrayAccess_73(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_74(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0

(38) Obligation:

IntTrs with 11 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
half_LE_1062(i247, x, i242, i196, a141, i6, env, static) -{8,8}> log_Load_877(i250', i252', a141, 1, i6, env, static) :|: 0 <= i242 && 0 < a141 && i242 + 1 = i250' && 1 <= i252' && i196 + 1 = i252' && 1 <= i6 && 0 <= i252' && 0 <= i247 && 1 <= i250' && 0 <= i196 && 0 <= i250' && i247 <= 1 && x = 1
random_InvokeMethod_100(o12, a6, x, i6, env, static) -{7,7}> log_Load_877(i8', 0, a6, 1, i6, env, static) :|: i8' <= o12 && 0 <= 2 && 0 <= o12 && 0 <= i8' && 1 <= i6 && 0 < a6 && 0 <= 0 && 0 < o12 && 0 <= 1 && x = 1
random_ArrayAccess_73(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_74(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
half_Load_1057(i241, i242, i196, a141, x, i6, env, static) -{2,2}> half_LE_1062(i241, 1, i242, i196, a141, i6, env, static) :|: 0 < a141 && 0 <= i241 && 0 <= i242 && 0 <= i196 && 1 <= i6 && 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_73(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
log_LE_885(i207, x, i196, a117, i6, env, static) -{7,7}> half_Load_1057(i208', 0, i196, a117, 1, i6, env, static) :|: 2 <= i207 && 0 <= 0 && i207 - 2 = i208' && 0 < a117 && 1 <= i6 && 0 <= i196 && 0 <= i208' && 0 <= 1 && 0 <= 2 && 0 <= i207 && 1 < i207 && x = 1
log_LE_885(i206, iconst_1, i196, a117, i6, env, static) -{0,0}> log_LE_888(i206, iconst_1, i196, a117, i6, env, static) :|: 0 <= i196 && 1 <= i6 && i206 <= 1 && 0 < a117 && iconst_1 = 1 && 0 <= i206
half_LE_1062(i248, x, i242, i196, a141, i6, env, static) -{7,7}> half_Load_1057(i249', i251', i196, a141, 1, i6, env, static) :|: 2 <= i248 && 0 < a141 && i242 + 1 = i251' && 0 <= i251' && i248 - 2 = i249' && 1 <= i6 && 0 <= i249' && 0 <= i196 && 1 <= i251' && 0 <= i242 && 1 < i248 && 0 <= i248 && x = 1
main_Load_2(o1, env, static) -{23,23}> random_ArrayAccess_73(o1, 0, i5', env, static'3) :|: static'1 <= static''' + 1 && 0 <= i5' && 0 <= 2 && 0 < o1 && 0 <= static'2 && i5' < o1 && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
log_Load_877(i195, i196, a117, x, i6, env, static) -{2,2}> log_LE_885(i195, 1, i196, a117, i6, env, static) :|: 0 <= i195 && 0 < a117 && 0 <= i196 && 1 <= i6 && x = 1

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

Moved arithmethic from constraints to rhss.

half_LE_1062(i247, x, i242, i196, a141, i6, env, static) -{8,8}> log_Load_877(i250', i252', a141, 1, i6, env, static) :|: 0 <= i242 && 0 < a141 && i242 + 1 = i250' && 1 <= i252' && i196 + 1 = i252' && 1 <= i6 && 0 <= i252' && 0 <= i247 && 1 <= i250' && 0 <= i196 && 0 <= i250' && i247 <= 1 && x = 1
was transformed to
half_LE_1062(i247, x, i242, i196, a141, i6, env, static) -{8,8}> log_Load_877(i242 + 1, i196 + 1, a141, 1, i6, env, static) :|: 0 <= i242 && 0 < a141 && i242 + 1 = i250' && 1 <= i252' && i196 + 1 = i252' && 1 <= i6 && 0 <= i252' && 0 <= i247 && 1 <= i250' && 0 <= i196 && 0 <= i250' && i247 <= 1 && 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
was transformed to
random_InvokeMethod_100(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_103(0, a6, 1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6

random_ArrayAccess_73(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_74(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
was transformed to
random_ArrayAccess_73(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_74(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0

log_LE_885(i207, x, i196, a117, i6, env, static) -{7,7}> half_Load_1057(i208', 0, i196, a117, 1, i6, env, static) :|: 2 <= i207 && 0 <= 0 && i207 - 2 = i208' && 0 < a117 && 1 <= i6 && 0 <= i196 && 0 <= i208' && 0 <= 1 && 0 <= 2 && 0 <= i207 && 1 < i207 && x = 1
was transformed to
log_LE_885(i207, x, i196, a117, i6, env, static) -{7,7}> half_Load_1057(i207 - 2, 0, i196, a117, 1, i6, env, static) :|: 2 <= i207 && 0 <= 0 && i207 - 2 = i208' && 0 < a117 && 1 <= i6 && 0 <= i196 && 0 <= i208' && 0 <= 1 && 0 <= 2 && 0 <= i207 && 1 < i207 && x = 1

half_LE_1062(i248, x, i242, i196, a141, i6, env, static) -{7,7}> half_Load_1057(i249', i251', i196, a141, 1, i6, env, static) :|: 2 <= i248 && 0 < a141 && i242 + 1 = i251' && 0 <= i251' && i248 - 2 = i249' && 1 <= i6 && 0 <= i249' && 0 <= i196 && 1 <= i251' && 0 <= i242 && 1 < i248 && 0 <= i248 && x = 1
was transformed to
half_LE_1062(i248, x, i242, i196, a141, i6, env, static) -{7,7}> half_Load_1057(i248 - 2, i242 + 1, i196, a141, 1, i6, env, static) :|: 2 <= i248 && 0 < a141 && i242 + 1 = i251' && 0 <= i251' && i248 - 2 = i249' && 1 <= i6 && 0 <= i249' && 0 <= i196 && 1 <= i251' && 0 <= i242 && 1 < i248 && 0 <= i248 && x = 1

log_LE_885(i206, iconst_1, i196, a117, i6, env, static) -{0,0}> log_LE_888(i206, iconst_1, i196, a117, i6, env, static) :|: 0 <= i196 && 1 <= i6 && i206 <= 1 && 0 < a117 && iconst_1 = 1 && 0 <= i206
was transformed to
log_LE_885(i206, iconst_1, i196, a117, i6, env, static) -{0,0}> log_LE_888(i206, 1, i196, a117, i6, env, static) :|: 0 <= i196 && 1 <= i6 && i206 <= 1 && 0 < a117 && iconst_1 = 1 && 0 <= i206

(40) Obligation:

IntTrs with 11 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
random_InvokeMethod_100(o12, a6, x, i6, env, static) -{7,7}> log_Load_877(i8', 0, a6, 1, i6, env, static) :|: i8' <= o12 && 0 <= 2 && 0 <= o12 && 0 <= i8' && 1 <= i6 && 0 < a6 && 0 <= 0 && 0 < o12 && 0 <= 1 && x = 1
half_LE_1062(i247, x, i242, i196, a141, i6, env, static) -{8,8}> log_Load_877(i242 + 1, i196 + 1, a141, 1, i6, env, static) :|: 0 <= i242 && 0 < a141 && i242 + 1 = i250' && 1 <= i252' && i196 + 1 = i252' && 1 <= i6 && 0 <= i252' && 0 <= i247 && 1 <= i250' && 0 <= i196 && 0 <= i250' && i247 <= 1 && x = 1
half_Load_1057(i241, i242, i196, a141, x, i6, env, static) -{2,2}> half_LE_1062(i241, 1, i242, i196, a141, i6, env, static) :|: 0 < a141 && 0 <= i241 && 0 <= i242 && 0 <= i196 && 1 <= i6 && 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_73(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_ArrayAccess_73(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_74(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
log_LE_885(i207, x, i196, a117, i6, env, static) -{7,7}> half_Load_1057(i207 - 2, 0, i196, a117, 1, i6, env, static) :|: 2 <= i207 && 0 <= 0 && i207 - 2 = i208' && 0 < a117 && 1 <= i6 && 0 <= i196 && 0 <= i208' && 0 <= 1 && 0 <= 2 && 0 <= i207 && 1 < i207 && x = 1
half_LE_1062(i248, x, i242, i196, a141, i6, env, static) -{7,7}> half_Load_1057(i248 - 2, i242 + 1, i196, a141, 1, i6, env, static) :|: 2 <= i248 && 0 < a141 && i242 + 1 = i251' && 0 <= i251' && i248 - 2 = i249' && 1 <= i6 && 0 <= i249' && 0 <= i196 && 1 <= i251' && 0 <= i242 && 1 < i248 && 0 <= i248 && x = 1
log_LE_885(i206, iconst_1, i196, a117, i6, env, static) -{0,0}> log_LE_888(i206, 1, i196, a117, i6, env, static) :|: 0 <= i196 && 1 <= i6 && i206 <= 1 && 0 < a117 && iconst_1 = 1 && 0 <= i206
log_Load_877(i195, i196, a117, x, i6, env, static) -{2,2}> log_LE_885(i195, 1, i196, a117, i6, env, static) :|: 0 <= i195 && 0 < a117 && 0 <= i196 && 1 <= i6 && x = 1
main_Load_2(o1, env, static) -{23,23}> random_ArrayAccess_73(o1, 0, i5', env, static'3) :|: static'1 <= static''' + 1 && 0 <= i5' && 0 <= 2 && 0 < o1 && 0 <= static'2 && i5' < o1 && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1

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

Simplified expressions.

random_InvokeMethod_100(o12, a6, x, i6, env, static) -{7,7}> log_Load_877(i8', 0, a6, 1, i6, env, static) :|: i8' <= o12 && 0 <= 2 && 0 <= o12 && 0 <= i8' && 1 <= i6 && 0 < a6 && 0 <= 0 && 0 < o12 && 0 <= 1 && x = 1
was transformed to
random_InvokeMethod_100(o12, a6, x, i6, env, static) -{7,7}> log_Load_877(i8', 0, a6, 1, i6, env, static) :|: i8' <= o12 && 0 <= i8' && 1 <= i6 && 0 < a6 && 0 < o12 && x = 1

log_LE_885(i207, x, i196, a117, i6, env, static) -{7,7}> half_Load_1057(i207 - 2, 0, i196, a117, 1, i6, env, static) :|: 2 <= i207 && 0 <= 0 && i207 - 2 = i208' && 0 < a117 && 1 <= i6 && 0 <= i196 && 0 <= i208' && 0 <= 1 && 0 <= 2 && 0 <= i207 && 1 < i207 && x = 1
was transformed to
log_LE_885(i207, x, i196, a117, i6, env, static) -{7,7}> half_Load_1057(i207 - 2, 0, i196, a117, 1, i6, env, static) :|: 2 <= i207 && i207 - 2 = i208' && 0 < a117 && 1 <= i6 && 0 <= i196 && 0 <= i208' && 0 <= i207 && 1 < i207 && x = 1

main_Load_2(o1, env, static) -{23,23}> random_ArrayAccess_73(o1, 0, i5', env, static'3) :|: static'1 <= static''' + 1 && 0 <= i5' && 0 <= 2 && 0 < o1 && 0 <= static'2 && i5' < o1 && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
was transformed to
main_Load_2(o1, env, static) -{23,23}> random_ArrayAccess_73(o1, 0, i5', env, static'3) :|: static'1 <= static''' + 1 && 0 <= i5' && 0 < o1 && 0 <= static'2 && i5' < o1 && static'2 <= static'1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 <= static'3

(42) Obligation:

IntTrs with 11 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
log_LE_885(i206, iconst_1, i196, a117, i6, env, static) -{0,0}> log_LE_888(i206, 1, i196, a117, i6, env, static) :|: 0 <= i196 && 1 <= i6 && i206 <= 1 && 0 < a117 && iconst_1 = 1 && 0 <= i206
log_LE_885(i207, x, i196, a117, i6, env, static) -{7,7}> half_Load_1057(i207 - 2, 0, i196, a117, 1, i6, env, static) :|: 2 <= i207 && i207 - 2 = i208' && 0 < a117 && 1 <= i6 && 0 <= i196 && 0 <= i208' && 0 <= i207 && 1 < i207 && x = 1
half_Load_1057(i241, i242, i196, a141, x, i6, env, static) -{2,2}> half_LE_1062(i241, 1, i242, i196, a141, i6, env, static) :|: 0 < a141 && 0 <= i241 && 0 <= i242 && 0 <= i196 && 1 <= i6 && x = 1
random_InvokeMethod_100(o12, a6, x, i6, env, static) -{7,7}> log_Load_877(i8', 0, a6, 1, i6, env, static) :|: i8' <= o12 && 0 <= i8' && 1 <= i6 && 0 < a6 && 0 < o12 && 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_73(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
half_LE_1062(i248, x, i242, i196, a141, i6, env, static) -{7,7}> half_Load_1057(i248 - 2, i242 + 1, i196, a141, 1, i6, env, static) :|: 2 <= i248 && 0 < a141 && i242 + 1 = i251' && 0 <= i251' && i248 - 2 = i249' && 1 <= i6 && 0 <= i249' && 0 <= i196 && 1 <= i251' && 0 <= i242 && 1 < i248 && 0 <= i248 && x = 1
half_LE_1062(i247, x, i242, i196, a141, i6, env, static) -{8,8}> log_Load_877(i242 + 1, i196 + 1, a141, 1, i6, env, static) :|: 0 <= i242 && 0 < a141 && i242 + 1 = i250' && 1 <= i252' && i196 + 1 = i252' && 1 <= i6 && 0 <= i252' && 0 <= i247 && 1 <= i250' && 0 <= i196 && 0 <= i250' && i247 <= 1 && x = 1
random_ArrayAccess_73(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_74(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
main_Load_2(o1, env, static) -{23,23}> random_ArrayAccess_73(o1, 0, i5', env, static'3) :|: static'1 <= static''' + 1 && 0 <= i5' && 0 < o1 && 0 <= static'2 && i5' < o1 && static'2 <= static'1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 <= static'3
log_Load_877(i195, i196, a117, x, i6, env, static) -{2,2}> log_LE_885(i195, 1, i196, a117, i6, env, static) :|: 0 <= i195 && 0 < a117 && 0 <= i196 && 1 <= i6 && x = 1