The time complexity of the given JBC problem could be proven to be BOUNDS(CONSTANT, 148 + 240 * |args|).

(0) Obligation:

Need to prove time_complexity of the following program:

public class GCD3 {
  public static int mod(int a, int b) {
    if(b == 0) {
      return b;
    }
    if(b < 0) {
      a = -a;
    }
    if(a > 0) {
      while(a>=b) {
        a -= b;
      }
      return a;
    } else {
      while(a < 0) {
        a -= b;
      }
      return a;
    }
  }

  public static int gcd(int a, int b) {
    int tmp;
    while(b > 0 && a > 0) {
      tmp = b;
      b = mod(a, b);
      a = tmp;
    }
    return a;
  }

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


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:
GCD3.main([Ljava/lang/String;)V: Graph of 207 nodes with 1 SCC.

(3) TerminationGraphToComplexityProof (BOTH CONCRETE BOUNDS(ID, ADD(99)) transformation)

Extracted set of 101 edges for the analysis of TIME complexity. Dropped leaves.

(4) Obligation:

Set of 101 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 101 jbc graph edges to a weighted ITS with 101 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 101 rules
Start term: main_Load_2(args, env, static)
Considered paths: all paths from start
Rules:
main_Load_2(o2, env, static) -{0,0}> main_Load_3(o2, env, static) :|: 0 < o2
main_Load_3(o2, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_5(o2, env, static) :|: 0 < o2
langle_clinit_rangle_ConstantStackPush_5(o2, env, static) -{1,1}> langle_clinit_rangle_ArrayCreate_13(iconst_0, o2, env, static) :|: 0 < o2 && iconst_0 = 0
langle_clinit_rangle_ArrayCreate_13(iconst_0, o2, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_16(a2, o2, iconst_0, env, static) :|: a2 = 2 && 0 < o2 && iconst_0 = 0 && 0 < a2
langle_clinit_rangle_FieldAccess_16(a2, o2, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_18(o2, env, static') :|: 0 <= a2 && 0 < o2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2
langle_clinit_rangle_New_18(o2, env, static) -{0,0}> langle_clinit_rangle_New_19(o2, env, static) :|: 0 < o2
langle_clinit_rangle_New_19(o2, env, static) -{0,0}> langle_clinit_rangle_New_20(o2, env, static) :|: 0 < o2 && 0 <= static
langle_clinit_rangle_New_20(o2, env, static) -{1,1}> langle_clinit_rangle_Duplicate_23(o4, o2, env, static) :|: o4 = 1 && 0 < o2 && 0 < o4
langle_clinit_rangle_Duplicate_23(o4, o2, env, static) -{1,1}> langle_clinit_rangle_ConstantStackPush_25(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_clinit_rangle_ConstantStackPush_25(o4, o2, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_30(o4, NULL, o2, env, static) :|: NULL = 0 && 0 < o2 && 0 < o4
langle_clinit_rangle_InvokeMethod_30(o4, NULL, o2, env, static) -{1,1}> langle_init_rangle_Load_33(o4, o2, env, static) :|: NULL = 0 && 0 < o2 && 0 < o4
langle_init_rangle_Load_33(o4, o2, env, static) -{1,1}> langle_init_rangle_InvokeMethod_37(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_InvokeMethod_37(o4, o2, env, static) -{1,1}> langle_init_rangle_Load_39(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Load_39(o4, o2, env, static) -{1,1}> langle_init_rangle_InvokeMethod_41(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_InvokeMethod_41(o4, o2, env, static) -{1,1}> langle_init_rangle_Return_45(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Return_45(o4, o2, env, static) -{1,1}> langle_init_rangle_Return_51(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Return_51(o4, o2, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_52(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_clinit_rangle_FieldAccess_52(o4, o2, env, static) -{1,1}> langle_clinit_rangle_Return_53(o2, env, static') :|: 0 < o2 && 0 <= o4 && 0 < o4 && 0 <= static && static' <= static + o4
langle_clinit_rangle_Return_53(o2, env, static) -{1,1}> main_Load_55(o2, env, static) :|: 0 < o2
main_Load_55(o2, env, static) -{0,0}> main_Load_56(o2, env, static) :|: 0 < o2
main_Load_56(o2, env, static) -{0,0}> main_Load_57(o2, env, static) :|: 0 < o2 && 0 <= static
main_Load_57(o2, env, static) -{0,0}> main_Load_58(o2, env, static) :|: 0 < o2
main_Load_58(o2, env, static) -{0,0}> main_Load_61(o2, env, static) :|: 0 < o2
main_Load_61(o2, env, static) -{1,1}> main_FieldAccess_62(o2, env, static) :|: 0 < o2
main_FieldAccess_62(o2, env, static) -{0,0}> main_FieldAccess_63(o2, env, static) :|: 0 < o2
main_FieldAccess_63(o2, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_65(o2, NULL, iconst_0, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
langle_clinit_rangle_ConstantStackPush_65(o2, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_66(iconst_0, o2, NULL, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
langle_clinit_rangle_FieldAccess_66(iconst_0, o2, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_67(o2, NULL, iconst_0, env, static') :|: NULL = 0 && 0 < o2 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0
langle_clinit_rangle_Return_67(o2, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_68(o2, NULL, iconst_0, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
main_FieldAccess_68(o2, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_69(o2, iconst_0, env, static') :|: NULL = 0 && 0 < o2 && 0 <= o2 && iconst_0 = 0 && 0 <= static && static' <= static + o2
main_InvokeMethod_69(o2, iconst_0, env, static) -{1,1}> random_FieldAccess_70(o2, iconst_0, env, static) :|: 0 < o2 && iconst_0 = 0
random_FieldAccess_70(o2, iconst_0, env, static) -{1,1}> random_FieldAccess_71(o2, iconst_0, env, static) :|: 0 < o2 && o2 <= static && 0 <= o2 && iconst_0 = 0 && 0 <= static
random_FieldAccess_71(o2, iconst_0, env, static) -{1,1}> random_ArrayAccess_73(o2, iconst_0, env, static) :|: 0 < o2 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static
random_ArrayAccess_73(a6, iconst_0, env, static) -{0,0}> random_ArrayAccess_75(a6, iconst_0, i5, env, static) :|: i5 < a6 && iconst_0 = 0 && 0 < a6 && 0 <= i5
random_ArrayAccess_75(a6, iconst_0, i6, env, static) -{0,0}> random_ArrayAccess_78(a6, iconst_0, i6, env, static) :|: 0 <= i6 && 1 <= i6 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_78(a6, iconst_0, i6, env, static) -{1,1}> random_Store_83(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && o8 < a6 && iconst_0 = 0 && 0 < a6
random_Store_83(o8, a6, iconst_0, i6, env, static) -{1,1}> random_FieldAccess_84(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_0 = 0 && 0 < a6
random_FieldAccess_84(o8, a6, iconst_0, i6, env, static) -{1,1}> random_ConstantStackPush_87(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_87(iconst_0, o8, a6, i6, env, static) -{1,1}> random_IntArithmetic_89(iconst_0, iconst_1, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_IntArithmetic_89(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_92(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_92(o8, a6, iconst_1, i6, env, static) -{1,1}> random_InvokeMethod_95(o8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && 0 < a6
random_InvokeMethod_95(o11, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_97(o11, a6, iconst_1, i6, env, static) :|: 0 <= o11 && 1 <= i6 && iconst_1 = 1 && 0 < o11 && 0 < a6
random_InvokeMethod_97(o11, a6, iconst_1, i6, env, static) -{1,1}> random_Return_105(i7, a6, iconst_1, i6, env, static) :|: 1 <= i6 && i7 <= o11 && iconst_1 = 1 && 0 < o11 && 0 < a6 && 0 <= i7
random_Return_105(i7, a6, iconst_1, i6, env, static) -{1,1}> main_Store_111(a6, i7, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i7
main_Store_111(a6, i7, iconst_1, i6, env, static) -{1,1}> main_InvokeMethod_114(a6, i7, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i7
main_InvokeMethod_114(a6, i7, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_116(a6, i7, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i7
random_FieldAccess_116(a6, i7, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_127(a6, i7, iconst_1, i6, env, static) :|: 0 <= a6 && 1 <= i6 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i7
random_FieldAccess_127(a6, i7, iconst_1, i6, env, static) -{1,1}> random_ArrayAccess_138(a6, iconst_1, i7, i6, env, static) :|: -1 * static <= iconst_1 && 1 <= i6 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i7
random_ArrayAccess_138(a6, iconst_1, i7, i12, env, static) -{0,0}> random_ArrayAccess_147(a6, iconst_1, i7, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && 1 <= i12
random_ArrayAccess_147(a6, iconst_1, i7, i12, env, static) -{1,1}> random_Store_151(o25, a6, i7, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && o25 < a6 && 0 < a6 && 0 <= i7 && 0 <= o25
random_Store_151(o25, a6, i7, iconst_1, i12, env, static) -{1,1}> random_FieldAccess_153(o25, a6, i7, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && 0 <= o25
random_FieldAccess_153(o25, a6, i7, iconst_1, i12, env, static) -{1,1}> random_ConstantStackPush_162(iconst_1, o25, a6, i7, i12, env, static) :|: -1 * static <= iconst_1 && 2 <= i12 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i7 && 0 <= o25
random_ConstantStackPush_162(iconst_1, o25, a6, i7, i12, env, static) -{1,1}> random_IntArithmetic_171(iconst_1, o25, a6, i7, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && 0 <= o25
random_IntArithmetic_171(iconst_1, o25, a6, i7, i12, env, static) -{1,1}> random_FieldAccess_177(iconst_2, o25, a6, i7, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && 0 <= o25 && iconst_2 = 2
random_FieldAccess_177(iconst_2, o25, a6, i7, iconst_1, i12, env, static) -{1,1}> random_Load_199(o25, a6, i7, iconst_2, i12, env, static') :|: 2 <= i12 && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i7 && 0 <= o25 && iconst_2 = 2 && static' <= static + iconst_2
random_Load_199(o25, a6, i7, iconst_2, i12, env, static) -{1,1}> random_InvokeMethod_222(o25, a6, i7, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i7 && 0 <= o25 && iconst_2 = 2
random_InvokeMethod_222(o50, a6, i7, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_246(o50, a6, i7, iconst_2, i12, env, static) :|: 0 < o50 && 2 <= i12 && 0 <= o50 && 0 < a6 && 0 <= i7 && iconst_2 = 2
random_InvokeMethod_246(o50, a6, i7, iconst_2, i12, env, static) -{1,1}> random_Return_263(i22, a6, i7, iconst_2, i12, env, static) :|: 0 < o50 && 2 <= i12 && 0 <= i22 && 0 < a6 && 0 <= i7 && i22 <= o50 && iconst_2 = 2
random_Return_263(i22, a6, i7, iconst_2, i12, env, static) -{1,1}> main_Store_278(a6, i22, i7, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i22 && 0 < a6 && 0 <= i7 && iconst_2 = 2
main_Store_278(a6, i22, i7, iconst_2, i12, env, static) -{1,1}> main_Load_291(a6, i7, i22, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i22 && 0 < a6 && 0 <= i7 && iconst_2 = 2
main_Load_291(a6, i7, i22, iconst_2, i12, env, static) -{1,1}> main_Load_307(a6, i7, i22, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i22 && 0 < a6 && 0 <= i7 && iconst_2 = 2
main_Load_307(a6, i7, i22, iconst_2, i12, env, static) -{1,1}> main_InvokeMethod_312(a6, i7, i22, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i22 && 0 < a6 && 0 <= i7 && iconst_2 = 2
main_InvokeMethod_312(a6, i7, i22, iconst_2, i12, env, static) -{1,1}> gcd_Load_315(i7, i22, a6, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i22 && 0 < a6 && 0 <= i7 && iconst_2 = 2
gcd_Load_315(i7, i22, a6, iconst_2, i12, env, static) -{1,1}> gcd_LE_321(i22, i7, a6, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i22 && 0 < a6 && 0 <= i7 && iconst_2 = 2
gcd_LE_321(i23, i7, a6, iconst_2, i12, env, static) -{0,0}> gcd_LE_326(i23, i7, a6, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i23 && 0 < a6 && 0 <= i7 && iconst_2 = 2 && 0 <= i23
gcd_LE_326(i23, i7, a6, iconst_2, i12, env, static) -{1,1}> gcd_Load_330(i7, i23, a6, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i23 && 0 < a6 && 0 < i23 && 0 <= i7 && iconst_2 = 2
gcd_Load_330(i7, i23, a6, iconst_2, i12, env, static) -{1,1}> gcd_LE_335(i7, i23, a6, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i23 && 0 < a6 && 0 <= i7 && iconst_2 = 2
gcd_LE_335(i24, i23, a6, iconst_2, i12, env, static) -{0,0}> gcd_LE_340(i24, i23, a6, iconst_2, i12, env, static) :|: 0 <= i24 && 2 <= i12 && 1 <= i24 && 1 <= i23 && 0 < a6 && iconst_2 = 2
gcd_LE_340(i24, i23, a6, iconst_2, i12, env, static) -{1,1}> gcd_Load_344(i24, i23, a6, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < i24 && 0 < a6 && iconst_2 = 2
gcd_Load_344(i24, i23, a6, iconst_2, i12, env, static) -{1,1}> gcd_Store_349(i23, i24, a6, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2
gcd_Store_349(i23, i24, a6, iconst_2, i12, env, static) -{1,1}> gcd_Load_353(i24, i23, a6, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2
gcd_Load_353(i24, i23, a6, iconst_2, i12, env, static) -{1,1}> gcd_Load_357(i24, i23, a6, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2
gcd_Load_357(i24, i23, a6, iconst_2, i12, env, static) -{1,1}> gcd_InvokeMethod_361(i24, i23, a6, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2
gcd_InvokeMethod_361(i24, i23, a6, iconst_2, i12, env, static) -{1,1}> mod_Load_364(i24, i23, a6, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2
mod_Load_364(i24, i23, a6, iconst_2, i12, env, static) -{1,1}> mod_NE_369(i23, i24, a6, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2
mod_NE_369(i23, i24, a6, iconst_2, i12, env, static) -{1,1}> mod_Load_372(i24, i23, a6, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && 0 < i23 && iconst_2 = 2
mod_Load_372(i24, i23, a6, iconst_2, i12, env, static) -{1,1}> mod_GE_374(i23, i24, a6, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2
mod_GE_374(i23, i24, a6, iconst_2, i12, env, static) -{1,1}> mod_Load_376(i24, i23, a6, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2 && 0 <= i23
mod_Load_376(i24, i23, a6, iconst_2, i12, env, static) -{1,1}> mod_LE_378(i24, i23, a6, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2
mod_LE_378(i24, i23, a6, iconst_2, i12, env, static) -{1,1}> mod_Load_380(i24, i23, a6, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < i24 && 0 < a6 && iconst_2 = 2
mod_Load_380(i24, i23, a6, iconst_2, i12, env, static) -{0,0}> mod_Load_416(i24, i23, a6, iconst_2, i12, env, static) :|: 0 <= i24 && 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2
mod_Load_416(i27, i23, a121, iconst_2, i12, env, static) -{1,1}> mod_Load_417(i27, i23, a121, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i27 && 1 <= i23 && iconst_2 = 2 && 0 < a121
mod_Load_417(i27, i23, a121, iconst_2, i12, env, static) -{1,1}> mod_LT_418(i27, i23, a121, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i27 && 1 <= i23 && iconst_2 = 2 && 0 < a121
mod_LT_418(i27, i23, a121, iconst_2, i12, env, static) -{0,0}> mod_LT_419(i27, i23, a121, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i27 && 1 <= i23 && iconst_2 = 2 && i27 < i23 && 0 < a121
mod_LT_418(i27, i23, a121, iconst_2, i12, env, static) -{0,0}> mod_LT_420(i27, i23, a121, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i27 && 1 <= i23 && i23 <= i27 && iconst_2 = 2 && 0 < a121
mod_LT_419(i27, i23, a121, iconst_2, i12, env, static) -{1,1}> mod_Load_421(i27, i23, a121, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i27 && 1 <= i23 && iconst_2 = 2 && i27 < i23 && 0 < a121
mod_LT_420(i27, i23, a121, iconst_2, i12, env, static) -{1,1}> mod_Load_423(i27, i23, a121, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i27 && 1 <= i23 && 1 <= i27 && i23 <= i27 && iconst_2 = 2 && 0 < a121
mod_Load_421(i27, i23, a121, iconst_2, i12, env, static) -{1,1}> mod_Return_425(i27, i23, a121, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i27 && 1 <= i23 && iconst_2 = 2 && 0 < a121
mod_Load_423(i27, i23, a121, iconst_2, i12, env, static) -{1,1}> mod_Load_426(i27, i23, a121, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i23 && 1 <= i27 && iconst_2 = 2 && 0 < a121
mod_Return_425(i27, i23, a121, iconst_2, i12, env, static) -{1,1}> gcd_Store_427(i27, i23, a121, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i27 && 1 <= i23 && iconst_2 = 2 && 0 < a121
mod_Load_426(i27, i23, a121, iconst_2, i12, env, static) -{1,1}> mod_IntArithmetic_428(i27, i23, a121, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i23 && 1 <= i27 && iconst_2 = 2 && 0 < a121
gcd_Store_427(i27, i23, a121, iconst_2, i12, env, static) -{1,1}> gcd_Load_429(i27, i23, a121, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i27 && 1 <= i23 && iconst_2 = 2 && 0 < a121
mod_IntArithmetic_428(i27, i23, a121, iconst_2, i12, env, static) -{1,1}> mod_Store_433(i29, i23, a121, iconst_2, i12, env, static) :|: 0 <= i29 && 2 <= i12 && 1 <= i23 && i27 - i23 = i29 && 1 <= i27 && iconst_2 = 2 && 0 < a121
gcd_Load_429(i27, i23, a121, iconst_2, i12, env, static) -{1,1}> gcd_Store_434(i23, i27, a121, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i27 && 1 <= i23 && iconst_2 = 2 && 0 < a121
mod_Store_433(i29, i23, a121, iconst_2, i12, env, static) -{1,1}> mod_JMP_436(i29, i23, a121, iconst_2, i12, env, static) :|: 0 <= i29 && 2 <= i12 && 1 <= i23 && iconst_2 = 2 && 0 < a121
gcd_Store_434(i23, i27, a121, iconst_2, i12, env, static) -{1,1}> gcd_JMP_438(i23, i27, a121, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i27 && 1 <= i23 && iconst_2 = 2 && 0 < a121
mod_JMP_436(i29, i23, a121, iconst_2, i12, env, static) -{1,1}> mod_Load_439(i29, i23, a121, iconst_2, i12, env, static) :|: 0 <= i29 && 2 <= i12 && 1 <= i23 && iconst_2 = 2 && 0 < a121
gcd_JMP_438(i23, i27, a121, iconst_2, i12, env, static) -{1,1}> gcd_Load_445(i23, i27, a121, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i27 && 1 <= i23 && iconst_2 = 2 && 0 < a121
mod_Load_439(i29, i23, a121, iconst_2, i12, env, static) -{0,0}> mod_Load_416(i29, i23, a121, iconst_2, i12, env, static) :|: 0 <= i29 && 2 <= i12 && 1 <= i23 && iconst_2 = 2 && 0 < a121
gcd_Load_445(i23, i27, a121, iconst_2, i12, env, static) -{0,0}> gcd_Load_315(i23, i27, a121, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i27 && 1 <= i23 && iconst_2 = 2 && 0 < a121 && 0 <= i23

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

obtained
main_Load_2(o2, env, static) -{49,49}> gcd_Load_315(i7', i22', o2, 2, i5', env, static'5) :|: 1 <= i5' && static'5 <= static'4 + 2 && 0 <= i7' && static'3 <= static'2 + o2 && 0 < o2 && static'2 <= static'1 + 0 && 2 <= i5' && 0 <= i22' && 0 <= o25' && 0 <= 2 && 0 < o8' && o2 <= static'4 && 0 <= static'4 && o8' < o2 && i5' < o2 && 0 <= o2 && i7' <= o8' && -1 * static'3 <= 0 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && 0 <= static && 0 < 1 && 0 <= static'3 && -1 * static'4 <= 1 && 0 <= o8' && 0 < o25' && 1 <= static'4 && 0 <= i5' && o25' < o2 && 0 < 2 && i22' <= o25' && static'4 <= static'3 + 1 && 0 <= 1
by chaining
main_Load_2(o2, env, static) -{0,0}> main_Load_3(o2, env, static) :|: 0 < o2
main_Load_3(o2, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_5(o2, env, static) :|: 0 < o2
langle_clinit_rangle_ConstantStackPush_5(o2, env, static) -{1,1}> langle_clinit_rangle_ArrayCreate_13(iconst_0, o2, env, static) :|: 0 < o2 && iconst_0 = 0
langle_clinit_rangle_ArrayCreate_13(iconst_0, o2, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_16(a2, o2, iconst_0, env, static) :|: a2 = 2 && 0 < o2 && iconst_0 = 0 && 0 < a2
langle_clinit_rangle_FieldAccess_16(a2, o2, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_18(o2, env, static') :|: 0 <= a2 && 0 < o2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2
langle_clinit_rangle_New_18(o2, env, static) -{0,0}> langle_clinit_rangle_New_19(o2, env, static) :|: 0 < o2
langle_clinit_rangle_New_19(o2, env, static) -{0,0}> langle_clinit_rangle_New_20(o2, env, static) :|: 0 < o2 && 0 <= static
langle_clinit_rangle_New_20(o2, env, static) -{1,1}> langle_clinit_rangle_Duplicate_23(o4, o2, env, static) :|: o4 = 1 && 0 < o2 && 0 < o4
langle_clinit_rangle_Duplicate_23(o4, o2, env, static) -{1,1}> langle_clinit_rangle_ConstantStackPush_25(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_clinit_rangle_ConstantStackPush_25(o4, o2, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_30(o4, NULL, o2, env, static) :|: NULL = 0 && 0 < o2 && 0 < o4
langle_clinit_rangle_InvokeMethod_30(o4, NULL, o2, env, static) -{1,1}> langle_init_rangle_Load_33(o4, o2, env, static) :|: NULL = 0 && 0 < o2 && 0 < o4
langle_init_rangle_Load_33(o4, o2, env, static) -{1,1}> langle_init_rangle_InvokeMethod_37(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_InvokeMethod_37(o4, o2, env, static) -{1,1}> langle_init_rangle_Load_39(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Load_39(o4, o2, env, static) -{1,1}> langle_init_rangle_InvokeMethod_41(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_InvokeMethod_41(o4, o2, env, static) -{1,1}> langle_init_rangle_Return_45(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Return_45(o4, o2, env, static) -{1,1}> langle_init_rangle_Return_51(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Return_51(o4, o2, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_52(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_clinit_rangle_FieldAccess_52(o4, o2, env, static) -{1,1}> langle_clinit_rangle_Return_53(o2, env, static') :|: 0 < o2 && 0 <= o4 && 0 < o4 && 0 <= static && static' <= static + o4
langle_clinit_rangle_Return_53(o2, env, static) -{1,1}> main_Load_55(o2, env, static) :|: 0 < o2
main_Load_55(o2, env, static) -{0,0}> main_Load_56(o2, env, static) :|: 0 < o2
main_Load_56(o2, env, static) -{0,0}> main_Load_57(o2, env, static) :|: 0 < o2 && 0 <= static
main_Load_57(o2, env, static) -{0,0}> main_Load_58(o2, env, static) :|: 0 < o2
main_Load_58(o2, env, static) -{0,0}> main_Load_61(o2, env, static) :|: 0 < o2
main_Load_61(o2, env, static) -{1,1}> main_FieldAccess_62(o2, env, static) :|: 0 < o2
main_FieldAccess_62(o2, env, static) -{0,0}> main_FieldAccess_63(o2, env, static) :|: 0 < o2
main_FieldAccess_63(o2, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_65(o2, NULL, iconst_0, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
langle_clinit_rangle_ConstantStackPush_65(o2, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_66(iconst_0, o2, NULL, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
langle_clinit_rangle_FieldAccess_66(iconst_0, o2, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_67(o2, NULL, iconst_0, env, static') :|: NULL = 0 && 0 < o2 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0
langle_clinit_rangle_Return_67(o2, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_68(o2, NULL, iconst_0, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
main_FieldAccess_68(o2, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_69(o2, iconst_0, env, static') :|: NULL = 0 && 0 < o2 && 0 <= o2 && iconst_0 = 0 && 0 <= static && static' <= static + o2
main_InvokeMethod_69(o2, iconst_0, env, static) -{1,1}> random_FieldAccess_70(o2, iconst_0, env, static) :|: 0 < o2 && iconst_0 = 0
random_FieldAccess_70(o2, iconst_0, env, static) -{1,1}> random_FieldAccess_71(o2, iconst_0, env, static) :|: 0 < o2 && o2 <= static && 0 <= o2 && iconst_0 = 0 && 0 <= static
random_FieldAccess_71(o2, iconst_0, env, static) -{1,1}> random_ArrayAccess_73(o2, iconst_0, env, static) :|: 0 < o2 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static
random_ArrayAccess_73(a6, iconst_0, env, static) -{0,0}> random_ArrayAccess_75(a6, iconst_0, i5, env, static) :|: i5 < a6 && iconst_0 = 0 && 0 < a6 && 0 <= i5
random_ArrayAccess_75(a6, iconst_0, i6, env, static) -{0,0}> random_ArrayAccess_78(a6, iconst_0, i6, env, static) :|: 0 <= i6 && 1 <= i6 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_78(a6, iconst_0, i6, env, static) -{1,1}> random_Store_83(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && o8 < a6 && iconst_0 = 0 && 0 < a6
random_Store_83(o8, a6, iconst_0, i6, env, static) -{1,1}> random_FieldAccess_84(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_0 = 0 && 0 < a6
random_FieldAccess_84(o8, a6, iconst_0, i6, env, static) -{1,1}> random_ConstantStackPush_87(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_87(iconst_0, o8, a6, i6, env, static) -{1,1}> random_IntArithmetic_89(iconst_0, iconst_1, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_IntArithmetic_89(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_92(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_92(o8, a6, iconst_1, i6, env, static) -{1,1}> random_InvokeMethod_95(o8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && 0 < a6
random_InvokeMethod_95(o11, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_97(o11, a6, iconst_1, i6, env, static) :|: 0 <= o11 && 1 <= i6 && iconst_1 = 1 && 0 < o11 && 0 < a6
random_InvokeMethod_97(o11, a6, iconst_1, i6, env, static) -{1,1}> random_Return_105(i7, a6, iconst_1, i6, env, static) :|: 1 <= i6 && i7 <= o11 && iconst_1 = 1 && 0 < o11 && 0 < a6 && 0 <= i7
random_Return_105(i7, a6, iconst_1, i6, env, static) -{1,1}> main_Store_111(a6, i7, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i7
main_Store_111(a6, i7, iconst_1, i6, env, static) -{1,1}> main_InvokeMethod_114(a6, i7, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i7
main_InvokeMethod_114(a6, i7, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_116(a6, i7, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i7
random_FieldAccess_116(a6, i7, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_127(a6, i7, iconst_1, i6, env, static) :|: 0 <= a6 && 1 <= i6 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i7
random_FieldAccess_127(a6, i7, iconst_1, i6, env, static) -{1,1}> random_ArrayAccess_138(a6, iconst_1, i7, i6, env, static) :|: -1 * static <= iconst_1 && 1 <= i6 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i7
random_ArrayAccess_138(a6, iconst_1, i7, i12, env, static) -{0,0}> random_ArrayAccess_147(a6, iconst_1, i7, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && 1 <= i12
random_ArrayAccess_147(a6, iconst_1, i7, i12, env, static) -{1,1}> random_Store_151(o25, a6, i7, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && o25 < a6 && 0 < a6 && 0 <= i7 && 0 <= o25
random_Store_151(o25, a6, i7, iconst_1, i12, env, static) -{1,1}> random_FieldAccess_153(o25, a6, i7, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && 0 <= o25
random_FieldAccess_153(o25, a6, i7, iconst_1, i12, env, static) -{1,1}> random_ConstantStackPush_162(iconst_1, o25, a6, i7, i12, env, static) :|: -1 * static <= iconst_1 && 2 <= i12 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i7 && 0 <= o25
random_ConstantStackPush_162(iconst_1, o25, a6, i7, i12, env, static) -{1,1}> random_IntArithmetic_171(iconst_1, o25, a6, i7, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && 0 <= o25
random_IntArithmetic_171(iconst_1, o25, a6, i7, i12, env, static) -{1,1}> random_FieldAccess_177(iconst_2, o25, a6, i7, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && 0 <= o25 && iconst_2 = 2
random_FieldAccess_177(iconst_2, o25, a6, i7, iconst_1, i12, env, static) -{1,1}> random_Load_199(o25, a6, i7, iconst_2, i12, env, static') :|: 2 <= i12 && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i7 && 0 <= o25 && iconst_2 = 2 && static' <= static + iconst_2
random_Load_199(o25, a6, i7, iconst_2, i12, env, static) -{1,1}> random_InvokeMethod_222(o25, a6, i7, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i7 && 0 <= o25 && iconst_2 = 2
random_InvokeMethod_222(o50, a6, i7, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_246(o50, a6, i7, iconst_2, i12, env, static) :|: 0 < o50 && 2 <= i12 && 0 <= o50 && 0 < a6 && 0 <= i7 && iconst_2 = 2
random_InvokeMethod_246(o50, a6, i7, iconst_2, i12, env, static) -{1,1}> random_Return_263(i22, a6, i7, iconst_2, i12, env, static) :|: 0 < o50 && 2 <= i12 && 0 <= i22 && 0 < a6 && 0 <= i7 && i22 <= o50 && iconst_2 = 2
random_Return_263(i22, a6, i7, iconst_2, i12, env, static) -{1,1}> main_Store_278(a6, i22, i7, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i22 && 0 < a6 && 0 <= i7 && iconst_2 = 2
main_Store_278(a6, i22, i7, iconst_2, i12, env, static) -{1,1}> main_Load_291(a6, i7, i22, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i22 && 0 < a6 && 0 <= i7 && iconst_2 = 2
main_Load_291(a6, i7, i22, iconst_2, i12, env, static) -{1,1}> main_Load_307(a6, i7, i22, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i22 && 0 < a6 && 0 <= i7 && iconst_2 = 2
main_Load_307(a6, i7, i22, iconst_2, i12, env, static) -{1,1}> main_InvokeMethod_312(a6, i7, i22, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i22 && 0 < a6 && 0 <= i7 && iconst_2 = 2
main_InvokeMethod_312(a6, i7, i22, iconst_2, i12, env, static) -{1,1}> gcd_Load_315(i7, i22, a6, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i22 && 0 < a6 && 0 <= i7 && iconst_2 = 2

obtained
gcd_Load_315(i7, i22, a6, 2, i12, env, static) -{15,15}> mod_Load_416(i7, i22, a6, 2, i12, env, static) :|: 1 <= i7 && 2 <= i12 && 0 < a6 && 1 <= i22 && 0 < i22 && 0 < i7 && 0 <= i7 && 0 <= i22
by chaining
gcd_Load_315(i7, i22, a6, iconst_2, i12, env, static) -{1,1}> gcd_LE_321(i22, i7, a6, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i22 && 0 < a6 && 0 <= i7 && iconst_2 = 2
gcd_LE_321(i23, i7, a6, iconst_2, i12, env, static) -{0,0}> gcd_LE_326(i23, i7, a6, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i23 && 0 < a6 && 0 <= i7 && iconst_2 = 2 && 0 <= i23
gcd_LE_326(i23, i7, a6, iconst_2, i12, env, static) -{1,1}> gcd_Load_330(i7, i23, a6, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i23 && 0 < a6 && 0 < i23 && 0 <= i7 && iconst_2 = 2
gcd_Load_330(i7, i23, a6, iconst_2, i12, env, static) -{1,1}> gcd_LE_335(i7, i23, a6, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i23 && 0 < a6 && 0 <= i7 && iconst_2 = 2
gcd_LE_335(i24, i23, a6, iconst_2, i12, env, static) -{0,0}> gcd_LE_340(i24, i23, a6, iconst_2, i12, env, static) :|: 0 <= i24 && 2 <= i12 && 1 <= i24 && 1 <= i23 && 0 < a6 && iconst_2 = 2
gcd_LE_340(i24, i23, a6, iconst_2, i12, env, static) -{1,1}> gcd_Load_344(i24, i23, a6, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < i24 && 0 < a6 && iconst_2 = 2
gcd_Load_344(i24, i23, a6, iconst_2, i12, env, static) -{1,1}> gcd_Store_349(i23, i24, a6, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2
gcd_Store_349(i23, i24, a6, iconst_2, i12, env, static) -{1,1}> gcd_Load_353(i24, i23, a6, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2
gcd_Load_353(i24, i23, a6, iconst_2, i12, env, static) -{1,1}> gcd_Load_357(i24, i23, a6, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2
gcd_Load_357(i24, i23, a6, iconst_2, i12, env, static) -{1,1}> gcd_InvokeMethod_361(i24, i23, a6, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2
gcd_InvokeMethod_361(i24, i23, a6, iconst_2, i12, env, static) -{1,1}> mod_Load_364(i24, i23, a6, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2
mod_Load_364(i24, i23, a6, iconst_2, i12, env, static) -{1,1}> mod_NE_369(i23, i24, a6, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2
mod_NE_369(i23, i24, a6, iconst_2, i12, env, static) -{1,1}> mod_Load_372(i24, i23, a6, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && 0 < i23 && iconst_2 = 2
mod_Load_372(i24, i23, a6, iconst_2, i12, env, static) -{1,1}> mod_GE_374(i23, i24, a6, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2
mod_GE_374(i23, i24, a6, iconst_2, i12, env, static) -{1,1}> mod_Load_376(i24, i23, a6, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2 && 0 <= i23
mod_Load_376(i24, i23, a6, iconst_2, i12, env, static) -{1,1}> mod_LE_378(i24, i23, a6, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2
mod_LE_378(i24, i23, a6, iconst_2, i12, env, static) -{1,1}> mod_Load_380(i24, i23, a6, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < i24 && 0 < a6 && iconst_2 = 2
mod_Load_380(i24, i23, a6, iconst_2, i12, env, static) -{0,0}> mod_Load_416(i24, i23, a6, iconst_2, i12, env, static) :|: 0 <= i24 && 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2

obtained
mod_Load_416(i27, i23, a121, 2, i12, env, static) -{2,2}> mod_LT_418(i27, i23, a121, 2, i12, env, static) :|: 0 < a121 && 1 <= i23 && 2 <= i12 && 0 <= i27
by chaining
mod_Load_416(i27, i23, a121, iconst_2, i12, env, static) -{1,1}> mod_Load_417(i27, i23, a121, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i27 && 1 <= i23 && iconst_2 = 2 && 0 < a121
mod_Load_417(i27, i23, a121, iconst_2, i12, env, static) -{1,1}> mod_LT_418(i27, i23, a121, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i27 && 1 <= i23 && iconst_2 = 2 && 0 < a121

obtained
mod_LT_418(i27, i23, a121, 2, i12, env, static) -{6,6}> mod_Load_416(i29', i23, a121, 2, i12, env, static) :|: i23 <= i27 && 0 < a121 && i27 - i23 = i29' && 0 <= i29' && 1 <= i23 && 2 <= i12 && 1 <= i27 && 0 <= i27
by chaining
mod_LT_418(i27, i23, a121, iconst_2, i12, env, static) -{0,0}> mod_LT_420(i27, i23, a121, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i27 && 1 <= i23 && i23 <= i27 && iconst_2 = 2 && 0 < a121
mod_LT_420(i27, i23, a121, iconst_2, i12, env, static) -{1,1}> mod_Load_423(i27, i23, a121, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i27 && 1 <= i23 && 1 <= i27 && i23 <= i27 && iconst_2 = 2 && 0 < a121
mod_Load_423(i27, i23, a121, iconst_2, i12, env, static) -{1,1}> mod_Load_426(i27, i23, a121, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i23 && 1 <= i27 && iconst_2 = 2 && 0 < a121
mod_Load_426(i27, i23, a121, iconst_2, i12, env, static) -{1,1}> mod_IntArithmetic_428(i27, i23, a121, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i23 && 1 <= i27 && iconst_2 = 2 && 0 < a121
mod_IntArithmetic_428(i27, i23, a121, iconst_2, i12, env, static) -{1,1}> mod_Store_433(i29, i23, a121, iconst_2, i12, env, static) :|: 0 <= i29 && 2 <= i12 && 1 <= i23 && i27 - i23 = i29 && 1 <= i27 && iconst_2 = 2 && 0 < a121
mod_Store_433(i29, i23, a121, iconst_2, i12, env, static) -{1,1}> mod_JMP_436(i29, i23, a121, iconst_2, i12, env, static) :|: 0 <= i29 && 2 <= i12 && 1 <= i23 && iconst_2 = 2 && 0 < a121
mod_JMP_436(i29, i23, a121, iconst_2, i12, env, static) -{1,1}> mod_Load_439(i29, i23, a121, iconst_2, i12, env, static) :|: 0 <= i29 && 2 <= i12 && 1 <= i23 && iconst_2 = 2 && 0 < a121
mod_Load_439(i29, i23, a121, iconst_2, i12, env, static) -{0,0}> mod_Load_416(i29, i23, a121, iconst_2, i12, env, static) :|: 0 <= i29 && 2 <= i12 && 1 <= i23 && iconst_2 = 2 && 0 < a121

obtained
mod_LT_418(i27, i23, a121, 2, i12, env, static) -{7,7}> gcd_Load_315(i23, i27, a121, 2, i12, env, static) :|: 0 <= i27 && 0 <= i23 && 2 <= i12 && 0 < a121 && 1 <= i23 && i27 < i23
by chaining
mod_LT_418(i27, i23, a121, iconst_2, i12, env, static) -{0,0}> mod_LT_419(i27, i23, a121, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i27 && 1 <= i23 && iconst_2 = 2 && i27 < i23 && 0 < a121
mod_LT_419(i27, i23, a121, iconst_2, i12, env, static) -{1,1}> mod_Load_421(i27, i23, a121, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i27 && 1 <= i23 && iconst_2 = 2 && i27 < i23 && 0 < a121
mod_Load_421(i27, i23, a121, iconst_2, i12, env, static) -{1,1}> mod_Return_425(i27, i23, a121, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i27 && 1 <= i23 && iconst_2 = 2 && 0 < a121
mod_Return_425(i27, i23, a121, iconst_2, i12, env, static) -{1,1}> gcd_Store_427(i27, i23, a121, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i27 && 1 <= i23 && iconst_2 = 2 && 0 < a121
gcd_Store_427(i27, i23, a121, iconst_2, i12, env, static) -{1,1}> gcd_Load_429(i27, i23, a121, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i27 && 1 <= i23 && iconst_2 = 2 && 0 < a121
gcd_Load_429(i27, i23, a121, iconst_2, i12, env, static) -{1,1}> gcd_Store_434(i23, i27, a121, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i27 && 1 <= i23 && iconst_2 = 2 && 0 < a121
gcd_Store_434(i23, i27, a121, iconst_2, i12, env, static) -{1,1}> gcd_JMP_438(i23, i27, a121, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i27 && 1 <= i23 && iconst_2 = 2 && 0 < a121
gcd_JMP_438(i23, i27, a121, iconst_2, i12, env, static) -{1,1}> gcd_Load_445(i23, i27, a121, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i27 && 1 <= i23 && iconst_2 = 2 && 0 < a121
gcd_Load_445(i23, i27, a121, iconst_2, i12, env, static) -{0,0}> gcd_Load_315(i23, i27, a121, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i27 && 1 <= i23 && iconst_2 = 2 && 0 < a121 && 0 <= i23

(8) Obligation:

IntTrs with 5 rules
Start term: main_Load_2(args, env, static)
Considered paths: all paths from start
Rules:
main_Load_2(o2, env, static) -{49,49}> gcd_Load_315(i7', i22', o2, 2, i5', env, static'5) :|: 1 <= i5' && static'5 <= static'4 + 2 && 0 <= i7' && static'3 <= static'2 + o2 && 0 < o2 && static'2 <= static'1 + 0 && 2 <= i5' && 0 <= i22' && 0 <= o25' && 0 <= 2 && 0 < o8' && o2 <= static'4 && 0 <= static'4 && o8' < o2 && i5' < o2 && 0 <= o2 && i7' <= o8' && -1 * static'3 <= 0 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && 0 <= static && 0 < 1 && 0 <= static'3 && -1 * static'4 <= 1 && 0 <= o8' && 0 < o25' && 1 <= static'4 && 0 <= i5' && o25' < o2 && 0 < 2 && i22' <= o25' && static'4 <= static'3 + 1 && 0 <= 1
gcd_Load_315(i7, i22, a6, 2, i12, env, static) -{15,15}> mod_Load_416(i7, i22, a6, 2, i12, env, static) :|: 1 <= i7 && 2 <= i12 && 0 < a6 && 1 <= i22 && 0 < i22 && 0 < i7 && 0 <= i7 && 0 <= i22
mod_Load_416(i27, i23, a121, 2, i12, env, static) -{2,2}> mod_LT_418(i27, i23, a121, 2, i12, env, static) :|: 0 < a121 && 1 <= i23 && 2 <= i12 && 0 <= i27
mod_LT_418(i27, i23, a121, 2, i12, env, static) -{6,6}> mod_Load_416(i29', i23, a121, 2, i12, env, static) :|: i23 <= i27 && 0 < a121 && i27 - i23 = i29' && 0 <= i29' && 1 <= i23 && 2 <= i12 && 1 <= i27 && 0 <= i27
mod_LT_418(i27, i23, a121, 2, i12, env, static) -{7,7}> gcd_Load_315(i23, i27, a121, 2, i12, env, static) :|: 0 <= i27 && 0 <= i23 && 2 <= i12 && 0 < a121 && 1 <= i23 && i27 < i23

(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)
gcd_Load_315(x1, x2, x3, x4, x5, x6, x7) → gcd_Load_315(x1, x2, x3, x5)
mod_Load_416(x1, x2, x3, x4, x5, x6, x7) → mod_Load_416(x1, x2, x3, x5)
mod_LT_418(x1, x2, x3, x4, x5, x6, x7) → mod_LT_418(x1, x2, x3, x5)

(10) Obligation:

IntTrs with 5 rules
Start term: main_Load_2(args, static)
Considered paths: all paths from start
Rules:
main_Load_2(o2, static) -{49,49}> gcd_Load_315(i7', i22', o2, i5') :|: 1 <= i5' && static'5 <= static'4 + 2 && 0 <= i7' && static'3 <= static'2 + o2 && 0 < o2 && static'2 <= static'1 + 0 && 2 <= i5' && 0 <= i22' && 0 <= o25' && 0 <= 2 && 0 < o8' && o2 <= static'4 && 0 <= static'4 && o8' < o2 && i5' < o2 && 0 <= o2 && i7' <= o8' && -1 * static'3 <= 0 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && 0 <= static && 0 < 1 && 0 <= static'3 && -1 * static'4 <= 1 && 0 <= o8' && 0 < o25' && 1 <= static'4 && 0 <= i5' && o25' < o2 && 0 < 2 && i22' <= o25' && static'4 <= static'3 + 1 && 0 <= 1
gcd_Load_315(i7, i22, a6, i12) -{15,15}> mod_Load_416(i7, i22, a6, i12) :|: 1 <= i7 && 2 <= i12 && 0 < a6 && 1 <= i22 && 0 < i22 && 0 < i7 && 0 <= i7 && 0 <= i22
mod_Load_416(i27, i23, a121, i12) -{2,2}> mod_LT_418(i27, i23, a121, i12) :|: 0 < a121 && 1 <= i23 && 2 <= i12 && 0 <= i27
mod_LT_418(i27, i23, a121, i12) -{6,6}> mod_Load_416(i29', i23, a121, i12) :|: i23 <= i27 && 0 < a121 && i27 - i23 = i29' && 0 <= i29' && 1 <= i23 && 2 <= i12 && 1 <= i27 && 0 <= i27
mod_LT_418(i27, i23, a121, i12) -{7,7}> gcd_Load_315(i23, i27, a121, i12) :|: 0 <= i27 && 0 <= i23 && 2 <= i12 && 0 < a121 && 1 <= i23 && i27 < i23

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

Moved arithmethic from constraints to rhss.

mod_LT_418(i27, i23, a121, i12) -{6,6}> mod_Load_416(i29', i23, a121, i12) :|: i23 <= i27 && 0 < a121 && i27 - i23 = i29' && 0 <= i29' && 1 <= i23 && 2 <= i12 && 1 <= i27 && 0 <= i27
was transformed to
mod_LT_418(i27, i23, a121, i12) -{6,6}> mod_Load_416(i27 - i23, i23, a121, i12) :|: i23 <= i27 && 0 < a121 && i27 - i23 = i29' && 0 <= i29' && 1 <= i23 && 2 <= i12 && 1 <= i27 && 0 <= i27

(12) Obligation:

IntTrs with 5 rules
Start term: main_Load_2(args, static)
Considered paths: all paths from start
Rules:
gcd_Load_315(i7, i22, a6, i12) -{15,15}> mod_Load_416(i7, i22, a6, i12) :|: 1 <= i7 && 2 <= i12 && 0 < a6 && 1 <= i22 && 0 < i22 && 0 < i7 && 0 <= i7 && 0 <= i22
mod_LT_418(i27, i23, a121, i12) -{6,6}> mod_Load_416(i27 - i23, i23, a121, i12) :|: i23 <= i27 && 0 < a121 && i27 - i23 = i29' && 0 <= i29' && 1 <= i23 && 2 <= i12 && 1 <= i27 && 0 <= i27
mod_Load_416(i27, i23, a121, i12) -{2,2}> mod_LT_418(i27, i23, a121, i12) :|: 0 < a121 && 1 <= i23 && 2 <= i12 && 0 <= i27
main_Load_2(o2, static) -{49,49}> gcd_Load_315(i7', i22', o2, i5') :|: 1 <= i5' && static'5 <= static'4 + 2 && 0 <= i7' && static'3 <= static'2 + o2 && 0 < o2 && static'2 <= static'1 + 0 && 2 <= i5' && 0 <= i22' && 0 <= o25' && 0 <= 2 && 0 < o8' && o2 <= static'4 && 0 <= static'4 && o8' < o2 && i5' < o2 && 0 <= o2 && i7' <= o8' && -1 * static'3 <= 0 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && 0 <= static && 0 < 1 && 0 <= static'3 && -1 * static'4 <= 1 && 0 <= o8' && 0 < o25' && 1 <= static'4 && 0 <= i5' && o25' < o2 && 0 < 2 && i22' <= o25' && static'4 <= static'3 + 1 && 0 <= 1
mod_LT_418(i27, i23, a121, i12) -{7,7}> gcd_Load_315(i23, i27, a121, i12) :|: 0 <= i27 && 0 <= i23 && 2 <= i12 && 0 < a121 && 1 <= i23 && i27 < i23

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

Simplified expressions.

gcd_Load_315(i7, i22, a6, i12) -{15,15}> mod_Load_416(i7, i22, a6, i12) :|: 1 <= i7 && 2 <= i12 && 0 < a6 && 1 <= i22 && 0 < i22 && 0 < i7 && 0 <= i7 && 0 <= i22
was transformed to
gcd_Load_315(i7, i22, a6, i12) -{15,15}> mod_Load_416(i7, i22, a6, i12) :|: 1 <= i7 && 2 <= i12 && 0 < a6 && 1 <= i22 && 0 < i22 && 0 < i7

main_Load_2(o2, static) -{49,49}> gcd_Load_315(i7', i22', o2, i5') :|: 1 <= i5' && static'5 <= static'4 + 2 && 0 <= i7' && static'3 <= static'2 + o2 && 0 < o2 && static'2 <= static'1 + 0 && 2 <= i5' && 0 <= i22' && 0 <= o25' && 0 <= 2 && 0 < o8' && o2 <= static'4 && 0 <= static'4 && o8' < o2 && i5' < o2 && 0 <= o2 && i7' <= o8' && -1 * static'3 <= 0 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && 0 <= static && 0 < 1 && 0 <= static'3 && -1 * static'4 <= 1 && 0 <= o8' && 0 < o25' && 1 <= static'4 && 0 <= i5' && o25' < o2 && 0 < 2 && i22' <= o25' && static'4 <= static'3 + 1 && 0 <= 1
was transformed to
main_Load_2(o2, static) -{49,49}> gcd_Load_315(i7', i22', o2, i5') :|: 1 <= i5' && static'5 <= static'4 + 2 && 0 <= i7' && static'3 <= static'2 + o2 && 0 < o2 && static'2 <= static'1 && 2 <= i5' && 0 <= i22' && 0 < o8' && o2 <= static'4 && 0 <= static'4 && o8' < o2 && i5' < o2 && i7' <= o8' && -1 * static'3 <= 0 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && 0 <= static && 0 <= static'3 && -1 * static'4 <= 1 && 0 < o25' && 1 <= static'4 && 0 <= i5' && o25' < o2 && i22' <= o25' && static'4 <= static'3 + 1

mod_LT_418(i27, i23, a121, i12) -{6,6}> mod_Load_416(i27 - i23, i23, a121, i12) :|: i23 <= i27 && 0 < a121 && i27 - i23 = i29' && 0 <= i29' && 1 <= i23 && 2 <= i12 && 1 <= i27 && 0 <= i27
was transformed to
mod_LT_418(i27, i23, a121, i12) -{6,6}> mod_Load_416(i27 + -1 * i23, i23, a121, i12) :|: i23 <= i27 && 0 < a121 && i27 + -1 * i23 = i29' && 0 <= i29' && 1 <= i23 && 2 <= i12 && 1 <= i27 && 0 <= i27

(14) Obligation:

IntTrs with 5 rules
Start term: main_Load_2(args, static)
Considered paths: all paths from start
Rules:
mod_Load_416(i27, i23, a121, i12) -{2,2}> mod_LT_418(i27, i23, a121, i12) :|: 0 < a121 && 1 <= i23 && 2 <= i12 && 0 <= i27
gcd_Load_315(i7, i22, a6, i12) -{15,15}> mod_Load_416(i7, i22, a6, i12) :|: 1 <= i7 && 2 <= i12 && 0 < a6 && 1 <= i22 && 0 < i22 && 0 < i7
mod_LT_418(i27, i23, a121, i12) -{6,6}> mod_Load_416(i27 + -1 * i23, i23, a121, i12) :|: i23 <= i27 && 0 < a121 && i27 + -1 * i23 = i29' && 0 <= i29' && 1 <= i23 && 2 <= i12 && 1 <= i27 && 0 <= i27
main_Load_2(o2, static) -{49,49}> gcd_Load_315(i7', i22', o2, i5') :|: 1 <= i5' && static'5 <= static'4 + 2 && 0 <= i7' && static'3 <= static'2 + o2 && 0 < o2 && static'2 <= static'1 && 2 <= i5' && 0 <= i22' && 0 < o8' && o2 <= static'4 && 0 <= static'4 && o8' < o2 && i5' < o2 && i7' <= o8' && -1 * static'3 <= 0 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && 0 <= static && 0 <= static'3 && -1 * static'4 <= 1 && 0 < o25' && 1 <= static'4 && 0 <= i5' && o25' < o2 && i22' <= o25' && static'4 <= static'3 + 1
mod_LT_418(i27, i23, a121, i12) -{7,7}> gcd_Load_315(i23, i27, a121, i12) :|: 0 <= i27 && 0 <= i23 && 2 <= i12 && 0 < a121 && 1 <= i23 && i27 < i23

(15) koat Proof (EQUIVALENT transformation)

YES(?, 240*ar_0 + 49)

Initial complexity problem:
1: T:
(Comp: ?, Cost: 2) mod_Load_416(ar_0, ar_1, ar_2, ar_3) -> Com_1(mod_LT_418(ar_0, ar_1, ar_2, ar_3)) [ 0 < ar_2 /\ 1 <= ar_1 /\ 2 <= ar_3 /\ 0 <= ar_0 ]
(Comp: ?, Cost: 15) gcd_Load_315(ar_0, ar_1, ar_2, ar_3) -> Com_1(mod_Load_416(ar_0, ar_1, ar_2, ar_3)) [ 1 <= ar_0 /\ 2 <= ar_3 /\ 0 < ar_2 /\ 1 <= ar_1 /\ 0 < ar_1 /\ 0 < ar_0 ]
(Comp: ?, Cost: 6) mod_LT_418(ar_0, ar_1, ar_2, ar_3) -> Com_1(mod_Load_416(ar_0 - ar_1, ar_1, ar_2, ar_3)) [ ar_1 <= ar_0 /\ 0 < ar_2 /\ ar_0 - ar_1 = i29' /\ 0 <= i29' /\ 1 <= ar_1 /\ 2 <= ar_3 /\ 1 <= ar_0 /\ 0 <= ar_0 ]
(Comp: ?, Cost: 49) main_Load_2(ar_0, ar_1, ar_2, ar_3) -> Com_1(gcd_Load_315(i7', i22', ar_0, i5')) [ 1 <= i5' /\ static'5 <= static'4 + 2 /\ 0 <= i7' /\ static'3 <= static'2 + ar_0 /\ 0 < ar_0 /\ static'2 <= static'1 /\ 2 <= i5' /\ 0 <= i22' /\ 0 < o8' /\ ar_0 <= static'4 /\ 0 <= static'4 /\ o8' < ar_0 /\ i5' < ar_0 /\ i7' <= o8' /\ -static'3 <= 0 /\ 0 <= static'2 /\ ar_0 <= static'3 /\ static'1 <= static''' + 1 /\ 0 <= static'1 /\ static''' <= ar_1 + 2 /\ 0 <= static''' /\ 0 <= ar_1 /\ 0 <= static'3 /\ -static'4 <= 1 /\ 0 < o25' /\ 1 <= static'4 /\ 0 <= i5' /\ o25' < ar_0 /\ i22' <= o25' /\ static'4 <= static'3 + 1 ]
(Comp: ?, Cost: 7) mod_LT_418(ar_0, ar_1, ar_2, ar_3) -> Com_1(gcd_Load_315(ar_1, ar_0, ar_2, ar_3)) [ 0 <= ar_0 /\ 0 <= ar_1 /\ 2 <= ar_3 /\ 0 < ar_2 /\ 1 <= ar_1 /\ ar_0 < ar_1 ]
(Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_2(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]
start location: koat_start
leaf cost: 0

Repeatedly propagating knowledge in problem 1 produces the following problem:
2: T:
(Comp: ?, Cost: 2) mod_Load_416(ar_0, ar_1, ar_2, ar_3) -> Com_1(mod_LT_418(ar_0, ar_1, ar_2, ar_3)) [ 0 < ar_2 /\ 1 <= ar_1 /\ 2 <= ar_3 /\ 0 <= ar_0 ]
(Comp: ?, Cost: 15) gcd_Load_315(ar_0, ar_1, ar_2, ar_3) -> Com_1(mod_Load_416(ar_0, ar_1, ar_2, ar_3)) [ 1 <= ar_0 /\ 2 <= ar_3 /\ 0 < ar_2 /\ 1 <= ar_1 /\ 0 < ar_1 /\ 0 < ar_0 ]
(Comp: ?, Cost: 6) mod_LT_418(ar_0, ar_1, ar_2, ar_3) -> Com_1(mod_Load_416(ar_0 - ar_1, ar_1, ar_2, ar_3)) [ ar_1 <= ar_0 /\ 0 < ar_2 /\ ar_0 - ar_1 = i29' /\ 0 <= i29' /\ 1 <= ar_1 /\ 2 <= ar_3 /\ 1 <= ar_0 /\ 0 <= ar_0 ]
(Comp: 1, Cost: 49) main_Load_2(ar_0, ar_1, ar_2, ar_3) -> Com_1(gcd_Load_315(i7', i22', ar_0, i5')) [ 1 <= i5' /\ static'5 <= static'4 + 2 /\ 0 <= i7' /\ static'3 <= static'2 + ar_0 /\ 0 < ar_0 /\ static'2 <= static'1 /\ 2 <= i5' /\ 0 <= i22' /\ 0 < o8' /\ ar_0 <= static'4 /\ 0 <= static'4 /\ o8' < ar_0 /\ i5' < ar_0 /\ i7' <= o8' /\ -static'3 <= 0 /\ 0 <= static'2 /\ ar_0 <= static'3 /\ static'1 <= static''' + 1 /\ 0 <= static'1 /\ static''' <= ar_1 + 2 /\ 0 <= static''' /\ 0 <= ar_1 /\ 0 <= static'3 /\ -static'4 <= 1 /\ 0 < o25' /\ 1 <= static'4 /\ 0 <= i5' /\ o25' < ar_0 /\ i22' <= o25' /\ static'4 <= static'3 + 1 ]
(Comp: ?, Cost: 7) mod_LT_418(ar_0, ar_1, ar_2, ar_3) -> Com_1(gcd_Load_315(ar_1, ar_0, ar_2, ar_3)) [ 0 <= ar_0 /\ 0 <= ar_1 /\ 2 <= ar_3 /\ 0 < ar_2 /\ 1 <= ar_1 /\ ar_0 < ar_1 ]
(Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_2(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]
start location: koat_start
leaf cost: 0

A polynomial rank function with
Pol(mod_Load_416) = 2*V_1 + 5*V_2 + V_4
Pol(mod_LT_418) = 2*V_1 + 5*V_2 + V_4 - 1
Pol(gcd_Load_315) = 2*V_1 + 5*V_2 + V_4 + 1
Pol(main_Load_2) = 8*V_1
Pol(koat_start) = 8*V_1
orients all transitions weakly and the transitions
mod_Load_416(ar_0, ar_1, ar_2, ar_3) -> Com_1(mod_LT_418(ar_0, ar_1, ar_2, ar_3)) [ 0 < ar_2 /\ 1 <= ar_1 /\ 2 <= ar_3 /\ 0 <= ar_0 ]
mod_LT_418(ar_0, ar_1, ar_2, ar_3) -> Com_1(mod_Load_416(ar_0 - ar_1, ar_1, ar_2, ar_3)) [ ar_1 <= ar_0 /\ 0 < ar_2 /\ ar_0 - ar_1 = i29' /\ 0 <= i29' /\ 1 <= ar_1 /\ 2 <= ar_3 /\ 1 <= ar_0 /\ 0 <= ar_0 ]
mod_LT_418(ar_0, ar_1, ar_2, ar_3) -> Com_1(gcd_Load_315(ar_1, ar_0, ar_2, ar_3)) [ 0 <= ar_0 /\ 0 <= ar_1 /\ 2 <= ar_3 /\ 0 < ar_2 /\ 1 <= ar_1 /\ ar_0 < ar_1 ]
gcd_Load_315(ar_0, ar_1, ar_2, ar_3) -> Com_1(mod_Load_416(ar_0, ar_1, ar_2, ar_3)) [ 1 <= ar_0 /\ 2 <= ar_3 /\ 0 < ar_2 /\ 1 <= ar_1 /\ 0 < ar_1 /\ 0 < ar_0 ]
strictly and produces the following problem:
3: T:
(Comp: 8*ar_0, Cost: 2) mod_Load_416(ar_0, ar_1, ar_2, ar_3) -> Com_1(mod_LT_418(ar_0, ar_1, ar_2, ar_3)) [ 0 < ar_2 /\ 1 <= ar_1 /\ 2 <= ar_3 /\ 0 <= ar_0 ]
(Comp: 8*ar_0, Cost: 15) gcd_Load_315(ar_0, ar_1, ar_2, ar_3) -> Com_1(mod_Load_416(ar_0, ar_1, ar_2, ar_3)) [ 1 <= ar_0 /\ 2 <= ar_3 /\ 0 < ar_2 /\ 1 <= ar_1 /\ 0 < ar_1 /\ 0 < ar_0 ]
(Comp: 8*ar_0, Cost: 6) mod_LT_418(ar_0, ar_1, ar_2, ar_3) -> Com_1(mod_Load_416(ar_0 - ar_1, ar_1, ar_2, ar_3)) [ ar_1 <= ar_0 /\ 0 < ar_2 /\ ar_0 - ar_1 = i29' /\ 0 <= i29' /\ 1 <= ar_1 /\ 2 <= ar_3 /\ 1 <= ar_0 /\ 0 <= ar_0 ]
(Comp: 1, Cost: 49) main_Load_2(ar_0, ar_1, ar_2, ar_3) -> Com_1(gcd_Load_315(i7', i22', ar_0, i5')) [ 1 <= i5' /\ static'5 <= static'4 + 2 /\ 0 <= i7' /\ static'3 <= static'2 + ar_0 /\ 0 < ar_0 /\ static'2 <= static'1 /\ 2 <= i5' /\ 0 <= i22' /\ 0 < o8' /\ ar_0 <= static'4 /\ 0 <= static'4 /\ o8' < ar_0 /\ i5' < ar_0 /\ i7' <= o8' /\ -static'3 <= 0 /\ 0 <= static'2 /\ ar_0 <= static'3 /\ static'1 <= static''' + 1 /\ 0 <= static'1 /\ static''' <= ar_1 + 2 /\ 0 <= static''' /\ 0 <= ar_1 /\ 0 <= static'3 /\ -static'4 <= 1 /\ 0 < o25' /\ 1 <= static'4 /\ 0 <= i5' /\ o25' < ar_0 /\ i22' <= o25' /\ static'4 <= static'3 + 1 ]
(Comp: 8*ar_0, Cost: 7) mod_LT_418(ar_0, ar_1, ar_2, ar_3) -> Com_1(gcd_Load_315(ar_1, ar_0, ar_2, ar_3)) [ 0 <= ar_0 /\ 0 <= ar_1 /\ 2 <= ar_3 /\ 0 < ar_2 /\ 1 <= ar_1 /\ ar_0 < ar_1 ]
(Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_2(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]
start location: koat_start
leaf cost: 0

Complexity upper bound 240*ar_0 + 49

Time: 0.331 sec (SMT: 0.310 sec)

(16) BOUNDS(CONSTANT, 49 + 240 * |args|)

(17) TerminationGraphToComplexityProof (BOTH CONCRETE BOUNDS(ID, ADD(99)) transformation)

Extracted set of 107 edges for the analysis of TIME complexity. Kept leaves.

(18) Obligation:

Set of 107 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 107 jbc graph edges to a weighted ITS with 107 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 107 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_2(o2, env, static) -{0,0}> main_Load_3(o2, env, static) :|: 0 < o2
main_Load_3(o2, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_5(o2, env, static) :|: 0 < o2
langle_clinit_rangle_ConstantStackPush_5(o2, env, static) -{1,1}> langle_clinit_rangle_ArrayCreate_13(iconst_0, o2, env, static) :|: 0 < o2 && iconst_0 = 0
langle_clinit_rangle_ArrayCreate_13(iconst_0, o2, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_16(a2, o2, iconst_0, env, static) :|: a2 = 2 && 0 < o2 && iconst_0 = 0 && 0 < a2
langle_clinit_rangle_FieldAccess_16(a2, o2, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_18(o2, env, static') :|: 0 <= a2 && 0 < o2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2
langle_clinit_rangle_New_18(o2, env, static) -{0,0}> langle_clinit_rangle_New_19(o2, env, static) :|: 0 < o2
langle_clinit_rangle_New_19(o2, env, static) -{0,0}> langle_clinit_rangle_New_20(o2, env, static) :|: 0 < o2 && 0 <= static
langle_clinit_rangle_New_20(o2, env, static) -{1,1}> langle_clinit_rangle_Duplicate_23(o4, o2, env, static) :|: o4 = 1 && 0 < o2 && 0 < o4
langle_clinit_rangle_Duplicate_23(o4, o2, env, static) -{1,1}> langle_clinit_rangle_ConstantStackPush_25(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_clinit_rangle_ConstantStackPush_25(o4, o2, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_30(o4, NULL, o2, env, static) :|: NULL = 0 && 0 < o2 && 0 < o4
langle_clinit_rangle_InvokeMethod_30(o4, NULL, o2, env, static) -{1,1}> langle_init_rangle_Load_33(o4, o2, env, static) :|: NULL = 0 && 0 < o2 && 0 < o4
langle_init_rangle_Load_33(o4, o2, env, static) -{1,1}> langle_init_rangle_InvokeMethod_37(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_InvokeMethod_37(o4, o2, env, static) -{1,1}> langle_init_rangle_Load_39(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Load_39(o4, o2, env, static) -{1,1}> langle_init_rangle_InvokeMethod_41(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_InvokeMethod_41(o4, o2, env, static) -{1,1}> langle_init_rangle_Return_45(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Return_45(o4, o2, env, static) -{1,1}> langle_init_rangle_Return_51(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Return_51(o4, o2, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_52(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_clinit_rangle_FieldAccess_52(o4, o2, env, static) -{1,1}> langle_clinit_rangle_Return_53(o2, env, static') :|: 0 < o2 && 0 <= o4 && 0 < o4 && 0 <= static && static' <= static + o4
langle_clinit_rangle_Return_53(o2, env, static) -{1,1}> main_Load_55(o2, env, static) :|: 0 < o2
main_Load_55(o2, env, static) -{0,0}> main_Load_56(o2, env, static) :|: 0 < o2
main_Load_56(o2, env, static) -{0,0}> main_Load_57(o2, env, static) :|: 0 < o2 && 0 <= static
main_Load_57(o2, env, static) -{0,0}> main_Load_58(o2, env, static) :|: 0 < o2
main_Load_58(o2, env, static) -{0,0}> main_Load_61(o2, env, static) :|: 0 < o2
main_Load_61(o2, env, static) -{1,1}> main_FieldAccess_62(o2, env, static) :|: 0 < o2
main_FieldAccess_62(o2, env, static) -{0,0}> main_FieldAccess_63(o2, env, static) :|: 0 < o2
main_FieldAccess_63(o2, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_65(o2, NULL, iconst_0, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
langle_clinit_rangle_ConstantStackPush_65(o2, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_66(iconst_0, o2, NULL, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
langle_clinit_rangle_FieldAccess_66(iconst_0, o2, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_67(o2, NULL, iconst_0, env, static') :|: NULL = 0 && 0 < o2 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0
langle_clinit_rangle_Return_67(o2, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_68(o2, NULL, iconst_0, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
main_FieldAccess_68(o2, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_69(o2, iconst_0, env, static') :|: NULL = 0 && 0 < o2 && 0 <= o2 && iconst_0 = 0 && 0 <= static && static' <= static + o2
main_InvokeMethod_69(o2, iconst_0, env, static) -{1,1}> random_FieldAccess_70(o2, iconst_0, env, static) :|: 0 < o2 && iconst_0 = 0
random_FieldAccess_70(o2, iconst_0, env, static) -{1,1}> random_FieldAccess_71(o2, iconst_0, env, static) :|: 0 < o2 && o2 <= static && 0 <= o2 && iconst_0 = 0 && 0 <= static
random_FieldAccess_71(o2, iconst_0, env, static) -{1,1}> random_ArrayAccess_73(o2, iconst_0, env, static) :|: 0 < o2 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static
random_ArrayAccess_73(a6, iconst_0, env, static) -{0,0}> random_ArrayAccess_75(a6, iconst_0, i5, env, static) :|: i5 < a6 && iconst_0 = 0 && 0 < a6 && 0 <= i5
random_ArrayAccess_75(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_77(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_75(a6, iconst_0, i6, env, static) -{0,0}> random_ArrayAccess_78(a6, iconst_0, i6, env, static) :|: 0 <= i6 && 1 <= i6 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_78(a6, iconst_0, i6, env, static) -{1,1}> random_Store_83(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && o8 < a6 && iconst_0 = 0 && 0 < a6
random_Store_83(o8, a6, iconst_0, i6, env, static) -{1,1}> random_FieldAccess_84(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_0 = 0 && 0 < a6
random_FieldAccess_84(o8, a6, iconst_0, i6, env, static) -{1,1}> random_ConstantStackPush_87(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_87(iconst_0, o8, a6, i6, env, static) -{1,1}> random_IntArithmetic_89(iconst_0, iconst_1, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_IntArithmetic_89(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_92(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_92(o8, a6, iconst_1, i6, env, static) -{1,1}> random_InvokeMethod_95(o8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && 0 < a6
random_InvokeMethod_95(o11, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_97(o11, a6, iconst_1, i6, env, static) :|: 0 <= o11 && 1 <= i6 && iconst_1 = 1 && 0 < o11 && 0 < a6
random_InvokeMethod_95(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_98(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
random_InvokeMethod_97(o11, a6, iconst_1, i6, env, static) -{1,1}> random_Return_105(i7, a6, iconst_1, i6, env, static) :|: 1 <= i6 && i7 <= o11 && iconst_1 = 1 && 0 < o11 && 0 < a6 && 0 <= i7
random_Return_105(i7, a6, iconst_1, i6, env, static) -{1,1}> main_Store_111(a6, i7, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i7
main_Store_111(a6, i7, iconst_1, i6, env, static) -{1,1}> main_InvokeMethod_114(a6, i7, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i7
main_InvokeMethod_114(a6, i7, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_116(a6, i7, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i7
random_FieldAccess_116(a6, i7, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_127(a6, i7, iconst_1, i6, env, static) :|: 0 <= a6 && 1 <= i6 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i7
random_FieldAccess_127(a6, i7, iconst_1, i6, env, static) -{1,1}> random_ArrayAccess_138(a6, iconst_1, i7, i6, env, static) :|: -1 * static <= iconst_1 && 1 <= i6 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i7
random_ArrayAccess_138(a6, iconst_1, i7, iconst_1, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i7, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i7
random_ArrayAccess_138(a6, iconst_1, i7, i12, env, static) -{0,0}> random_ArrayAccess_147(a6, iconst_1, i7, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && 1 <= i12
random_ArrayAccess_147(a6, iconst_1, i7, i12, env, static) -{1,1}> random_Store_151(o25, a6, i7, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && o25 < a6 && 0 < a6 && 0 <= i7 && 0 <= o25
random_Store_151(o25, a6, i7, iconst_1, i12, env, static) -{1,1}> random_FieldAccess_153(o25, a6, i7, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && 0 <= o25
random_FieldAccess_153(o25, a6, i7, iconst_1, i12, env, static) -{1,1}> random_ConstantStackPush_162(iconst_1, o25, a6, i7, i12, env, static) :|: -1 * static <= iconst_1 && 2 <= i12 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i7 && 0 <= o25
random_ConstantStackPush_162(iconst_1, o25, a6, i7, i12, env, static) -{1,1}> random_IntArithmetic_171(iconst_1, o25, a6, i7, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && 0 <= o25
random_IntArithmetic_171(iconst_1, o25, a6, i7, i12, env, static) -{1,1}> random_FieldAccess_177(iconst_2, o25, a6, i7, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && 0 <= o25 && iconst_2 = 2
random_FieldAccess_177(iconst_2, o25, a6, i7, iconst_1, i12, env, static) -{1,1}> random_Load_199(o25, a6, i7, iconst_2, i12, env, static') :|: 2 <= i12 && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i7 && 0 <= o25 && iconst_2 = 2 && static' <= static + iconst_2
random_Load_199(o25, a6, i7, iconst_2, i12, env, static) -{1,1}> random_InvokeMethod_222(o25, a6, i7, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i7 && 0 <= o25 && iconst_2 = 2
random_InvokeMethod_222(o50, a6, i7, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_246(o50, a6, i7, iconst_2, i12, env, static) :|: 0 < o50 && 2 <= i12 && 0 <= o50 && 0 < a6 && 0 <= i7 && iconst_2 = 2
random_InvokeMethod_222(NULL, a6, i7, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_247(NULL, a6, i7, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i7 && iconst_2 = 2
random_InvokeMethod_246(o50, a6, i7, iconst_2, i12, env, static) -{1,1}> random_Return_263(i22, a6, i7, iconst_2, i12, env, static) :|: 0 < o50 && 2 <= i12 && 0 <= i22 && 0 < a6 && 0 <= i7 && i22 <= o50 && iconst_2 = 2
random_Return_263(i22, a6, i7, iconst_2, i12, env, static) -{1,1}> main_Store_278(a6, i22, i7, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i22 && 0 < a6 && 0 <= i7 && iconst_2 = 2
main_Store_278(a6, i22, i7, iconst_2, i12, env, static) -{1,1}> main_Load_291(a6, i7, i22, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i22 && 0 < a6 && 0 <= i7 && iconst_2 = 2
main_Load_291(a6, i7, i22, iconst_2, i12, env, static) -{1,1}> main_Load_307(a6, i7, i22, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i22 && 0 < a6 && 0 <= i7 && iconst_2 = 2
main_Load_307(a6, i7, i22, iconst_2, i12, env, static) -{1,1}> main_InvokeMethod_312(a6, i7, i22, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i22 && 0 < a6 && 0 <= i7 && iconst_2 = 2
main_InvokeMethod_312(a6, i7, i22, iconst_2, i12, env, static) -{1,1}> gcd_Load_315(i7, i22, a6, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i22 && 0 < a6 && 0 <= i7 && iconst_2 = 2
gcd_Load_315(i7, i22, a6, iconst_2, i12, env, static) -{1,1}> gcd_LE_321(i22, i7, a6, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i22 && 0 < a6 && 0 <= i7 && iconst_2 = 2
gcd_LE_321(iconst_0, i7, a6, iconst_2, i12, env, static) -{0,0}> gcd_LE_325(iconst_0, i7, a6, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && 0 <= i7 && iconst_2 = 2
gcd_LE_321(i23, i7, a6, iconst_2, i12, env, static) -{0,0}> gcd_LE_326(i23, i7, a6, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i23 && 0 < a6 && 0 <= i7 && iconst_2 = 2 && 0 <= i23
gcd_LE_326(i23, i7, a6, iconst_2, i12, env, static) -{1,1}> gcd_Load_330(i7, i23, a6, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i23 && 0 < a6 && 0 < i23 && 0 <= i7 && iconst_2 = 2
gcd_Load_330(i7, i23, a6, iconst_2, i12, env, static) -{1,1}> gcd_LE_335(i7, i23, a6, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i23 && 0 < a6 && 0 <= i7 && iconst_2 = 2
gcd_LE_335(iconst_0, i23, a6, iconst_2, i12, env, static) -{0,0}> gcd_LE_339(iconst_0, i23, a6, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && 1 <= i23 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2
gcd_LE_335(i24, i23, a6, iconst_2, i12, env, static) -{0,0}> gcd_LE_340(i24, i23, a6, iconst_2, i12, env, static) :|: 0 <= i24 && 2 <= i12 && 1 <= i24 && 1 <= i23 && 0 < a6 && iconst_2 = 2
gcd_LE_340(i24, i23, a6, iconst_2, i12, env, static) -{1,1}> gcd_Load_344(i24, i23, a6, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < i24 && 0 < a6 && iconst_2 = 2
gcd_Load_344(i24, i23, a6, iconst_2, i12, env, static) -{1,1}> gcd_Store_349(i23, i24, a6, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2
gcd_Store_349(i23, i24, a6, iconst_2, i12, env, static) -{1,1}> gcd_Load_353(i24, i23, a6, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2
gcd_Load_353(i24, i23, a6, iconst_2, i12, env, static) -{1,1}> gcd_Load_357(i24, i23, a6, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2
gcd_Load_357(i24, i23, a6, iconst_2, i12, env, static) -{1,1}> gcd_InvokeMethod_361(i24, i23, a6, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2
gcd_InvokeMethod_361(i24, i23, a6, iconst_2, i12, env, static) -{1,1}> mod_Load_364(i24, i23, a6, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2
mod_Load_364(i24, i23, a6, iconst_2, i12, env, static) -{1,1}> mod_NE_369(i23, i24, a6, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2
mod_NE_369(i23, i24, a6, iconst_2, i12, env, static) -{1,1}> mod_Load_372(i24, i23, a6, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && 0 < i23 && iconst_2 = 2
mod_Load_372(i24, i23, a6, iconst_2, i12, env, static) -{1,1}> mod_GE_374(i23, i24, a6, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2
mod_GE_374(i23, i24, a6, iconst_2, i12, env, static) -{1,1}> mod_Load_376(i24, i23, a6, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2 && 0 <= i23
mod_Load_376(i24, i23, a6, iconst_2, i12, env, static) -{1,1}> mod_LE_378(i24, i23, a6, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2
mod_LE_378(i24, i23, a6, iconst_2, i12, env, static) -{1,1}> mod_Load_380(i24, i23, a6, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < i24 && 0 < a6 && iconst_2 = 2
mod_Load_380(i24, i23, a6, iconst_2, i12, env, static) -{0,0}> mod_Load_416(i24, i23, a6, iconst_2, i12, env, static) :|: 0 <= i24 && 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2
mod_Load_416(i27, i23, a121, iconst_2, i12, env, static) -{1,1}> mod_Load_417(i27, i23, a121, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i27 && 1 <= i23 && iconst_2 = 2 && 0 < a121
mod_Load_417(i27, i23, a121, iconst_2, i12, env, static) -{1,1}> mod_LT_418(i27, i23, a121, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i27 && 1 <= i23 && iconst_2 = 2 && 0 < a121
mod_LT_418(i27, i23, a121, iconst_2, i12, env, static) -{0,0}> mod_LT_419(i27, i23, a121, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i27 && 1 <= i23 && iconst_2 = 2 && i27 < i23 && 0 < a121
mod_LT_418(i27, i23, a121, iconst_2, i12, env, static) -{0,0}> mod_LT_420(i27, i23, a121, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i27 && 1 <= i23 && i23 <= i27 && iconst_2 = 2 && 0 < a121
mod_LT_419(i27, i23, a121, iconst_2, i12, env, static) -{1,1}> mod_Load_421(i27, i23, a121, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i27 && 1 <= i23 && iconst_2 = 2 && i27 < i23 && 0 < a121
mod_LT_420(i27, i23, a121, iconst_2, i12, env, static) -{1,1}> mod_Load_423(i27, i23, a121, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i27 && 1 <= i23 && 1 <= i27 && i23 <= i27 && iconst_2 = 2 && 0 < a121
mod_Load_421(i27, i23, a121, iconst_2, i12, env, static) -{1,1}> mod_Return_425(i27, i23, a121, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i27 && 1 <= i23 && iconst_2 = 2 && 0 < a121
mod_Load_423(i27, i23, a121, iconst_2, i12, env, static) -{1,1}> mod_Load_426(i27, i23, a121, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i23 && 1 <= i27 && iconst_2 = 2 && 0 < a121
mod_Return_425(i27, i23, a121, iconst_2, i12, env, static) -{1,1}> gcd_Store_427(i27, i23, a121, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i27 && 1 <= i23 && iconst_2 = 2 && 0 < a121
mod_Load_426(i27, i23, a121, iconst_2, i12, env, static) -{1,1}> mod_IntArithmetic_428(i27, i23, a121, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i23 && 1 <= i27 && iconst_2 = 2 && 0 < a121
gcd_Store_427(i27, i23, a121, iconst_2, i12, env, static) -{1,1}> gcd_Load_429(i27, i23, a121, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i27 && 1 <= i23 && iconst_2 = 2 && 0 < a121
mod_IntArithmetic_428(i27, i23, a121, iconst_2, i12, env, static) -{1,1}> mod_Store_433(i29, i23, a121, iconst_2, i12, env, static) :|: 0 <= i29 && 2 <= i12 && 1 <= i23 && i27 - i23 = i29 && 1 <= i27 && iconst_2 = 2 && 0 < a121
gcd_Load_429(i27, i23, a121, iconst_2, i12, env, static) -{1,1}> gcd_Store_434(i23, i27, a121, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i27 && 1 <= i23 && iconst_2 = 2 && 0 < a121
mod_Store_433(i29, i23, a121, iconst_2, i12, env, static) -{1,1}> mod_JMP_436(i29, i23, a121, iconst_2, i12, env, static) :|: 0 <= i29 && 2 <= i12 && 1 <= i23 && iconst_2 = 2 && 0 < a121
gcd_Store_434(i23, i27, a121, iconst_2, i12, env, static) -{1,1}> gcd_JMP_438(i23, i27, a121, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i27 && 1 <= i23 && iconst_2 = 2 && 0 < a121
mod_JMP_436(i29, i23, a121, iconst_2, i12, env, static) -{1,1}> mod_Load_439(i29, i23, a121, iconst_2, i12, env, static) :|: 0 <= i29 && 2 <= i12 && 1 <= i23 && iconst_2 = 2 && 0 < a121
gcd_JMP_438(i23, i27, a121, iconst_2, i12, env, static) -{1,1}> gcd_Load_445(i23, i27, a121, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i27 && 1 <= i23 && iconst_2 = 2 && 0 < a121
mod_Load_439(i29, i23, a121, iconst_2, i12, env, static) -{0,0}> mod_Load_416(i29, i23, a121, iconst_2, i12, env, static) :|: 0 <= i29 && 2 <= i12 && 1 <= i23 && iconst_2 = 2 && 0 < a121
gcd_Load_445(i23, i27, a121, iconst_2, i12, env, static) -{0,0}> gcd_Load_315(i23, i27, a121, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i27 && 1 <= i23 && iconst_2 = 2 && 0 < a121 && 0 <= i23

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

obtained
main_Load_2(o2, env, static) -{23,23}> random_ArrayAccess_75(o2, 0, i5', env, static'3) :|: static'3 <= static'2 + o2 && 0 <= i5' && static'2 <= static'1 + 0 && 0 < o2 && 0 <= 2 && i5' < o2 && 0 <= o2 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && -1 * static'3 <= 0 && 0 <= static && 0 < 1 && 0 < 2 && 0 <= 1 && 0 <= static'3
by chaining
main_Load_2(o2, env, static) -{0,0}> main_Load_3(o2, env, static) :|: 0 < o2
main_Load_3(o2, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_5(o2, env, static) :|: 0 < o2
langle_clinit_rangle_ConstantStackPush_5(o2, env, static) -{1,1}> langle_clinit_rangle_ArrayCreate_13(iconst_0, o2, env, static) :|: 0 < o2 && iconst_0 = 0
langle_clinit_rangle_ArrayCreate_13(iconst_0, o2, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_16(a2, o2, iconst_0, env, static) :|: a2 = 2 && 0 < o2 && iconst_0 = 0 && 0 < a2
langle_clinit_rangle_FieldAccess_16(a2, o2, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_18(o2, env, static') :|: 0 <= a2 && 0 < o2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2
langle_clinit_rangle_New_18(o2, env, static) -{0,0}> langle_clinit_rangle_New_19(o2, env, static) :|: 0 < o2
langle_clinit_rangle_New_19(o2, env, static) -{0,0}> langle_clinit_rangle_New_20(o2, env, static) :|: 0 < o2 && 0 <= static
langle_clinit_rangle_New_20(o2, env, static) -{1,1}> langle_clinit_rangle_Duplicate_23(o4, o2, env, static) :|: o4 = 1 && 0 < o2 && 0 < o4
langle_clinit_rangle_Duplicate_23(o4, o2, env, static) -{1,1}> langle_clinit_rangle_ConstantStackPush_25(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_clinit_rangle_ConstantStackPush_25(o4, o2, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_30(o4, NULL, o2, env, static) :|: NULL = 0 && 0 < o2 && 0 < o4
langle_clinit_rangle_InvokeMethod_30(o4, NULL, o2, env, static) -{1,1}> langle_init_rangle_Load_33(o4, o2, env, static) :|: NULL = 0 && 0 < o2 && 0 < o4
langle_init_rangle_Load_33(o4, o2, env, static) -{1,1}> langle_init_rangle_InvokeMethod_37(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_InvokeMethod_37(o4, o2, env, static) -{1,1}> langle_init_rangle_Load_39(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Load_39(o4, o2, env, static) -{1,1}> langle_init_rangle_InvokeMethod_41(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_InvokeMethod_41(o4, o2, env, static) -{1,1}> langle_init_rangle_Return_45(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Return_45(o4, o2, env, static) -{1,1}> langle_init_rangle_Return_51(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Return_51(o4, o2, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_52(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_clinit_rangle_FieldAccess_52(o4, o2, env, static) -{1,1}> langle_clinit_rangle_Return_53(o2, env, static') :|: 0 < o2 && 0 <= o4 && 0 < o4 && 0 <= static && static' <= static + o4
langle_clinit_rangle_Return_53(o2, env, static) -{1,1}> main_Load_55(o2, env, static) :|: 0 < o2
main_Load_55(o2, env, static) -{0,0}> main_Load_56(o2, env, static) :|: 0 < o2
main_Load_56(o2, env, static) -{0,0}> main_Load_57(o2, env, static) :|: 0 < o2 && 0 <= static
main_Load_57(o2, env, static) -{0,0}> main_Load_58(o2, env, static) :|: 0 < o2
main_Load_58(o2, env, static) -{0,0}> main_Load_61(o2, env, static) :|: 0 < o2
main_Load_61(o2, env, static) -{1,1}> main_FieldAccess_62(o2, env, static) :|: 0 < o2
main_FieldAccess_62(o2, env, static) -{0,0}> main_FieldAccess_63(o2, env, static) :|: 0 < o2
main_FieldAccess_63(o2, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_65(o2, NULL, iconst_0, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
langle_clinit_rangle_ConstantStackPush_65(o2, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_66(iconst_0, o2, NULL, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
langle_clinit_rangle_FieldAccess_66(iconst_0, o2, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_67(o2, NULL, iconst_0, env, static') :|: NULL = 0 && 0 < o2 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0
langle_clinit_rangle_Return_67(o2, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_68(o2, NULL, iconst_0, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
main_FieldAccess_68(o2, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_69(o2, iconst_0, env, static') :|: NULL = 0 && 0 < o2 && 0 <= o2 && iconst_0 = 0 && 0 <= static && static' <= static + o2
main_InvokeMethod_69(o2, iconst_0, env, static) -{1,1}> random_FieldAccess_70(o2, iconst_0, env, static) :|: 0 < o2 && iconst_0 = 0
random_FieldAccess_70(o2, iconst_0, env, static) -{1,1}> random_FieldAccess_71(o2, iconst_0, env, static) :|: 0 < o2 && o2 <= static && 0 <= o2 && iconst_0 = 0 && 0 <= static
random_FieldAccess_71(o2, iconst_0, env, static) -{1,1}> random_ArrayAccess_73(o2, iconst_0, env, static) :|: 0 < o2 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static
random_ArrayAccess_73(a6, iconst_0, env, static) -{0,0}> random_ArrayAccess_75(a6, iconst_0, i5, env, static) :|: i5 < a6 && iconst_0 = 0 && 0 < a6 && 0 <= i5

obtained
random_ArrayAccess_75(a6, 0, i6, env, static) -{7,7}> random_InvokeMethod_95(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1
by chaining
random_ArrayAccess_75(a6, iconst_0, i6, env, static) -{0,0}> random_ArrayAccess_78(a6, iconst_0, i6, env, static) :|: 0 <= i6 && 1 <= i6 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_78(a6, iconst_0, i6, env, static) -{1,1}> random_Store_83(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && o8 < a6 && iconst_0 = 0 && 0 < a6
random_Store_83(o8, a6, iconst_0, i6, env, static) -{1,1}> random_FieldAccess_84(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_0 = 0 && 0 < a6
random_FieldAccess_84(o8, a6, iconst_0, i6, env, static) -{1,1}> random_ConstantStackPush_87(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_87(iconst_0, o8, a6, i6, env, static) -{1,1}> random_IntArithmetic_89(iconst_0, iconst_1, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_IntArithmetic_89(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_92(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_92(o8, a6, iconst_1, i6, env, static) -{1,1}> random_InvokeMethod_95(o8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && 0 < a6

obtained
random_InvokeMethod_95(o11, a6, 1, i6, env, static) -{6,6}> random_ArrayAccess_138(a6, 1, i7', i6, env, static) :|: 0 <= a6 && 0 <= i7' && i7' <= o11 && 0 < a6 && a6 <= static && 0 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 <= o11 && 0 < o11
by chaining
random_InvokeMethod_95(o11, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_97(o11, a6, iconst_1, i6, env, static) :|: 0 <= o11 && 1 <= i6 && iconst_1 = 1 && 0 < o11 && 0 < a6
random_InvokeMethod_97(o11, a6, iconst_1, i6, env, static) -{1,1}> random_Return_105(i7, a6, iconst_1, i6, env, static) :|: 1 <= i6 && i7 <= o11 && iconst_1 = 1 && 0 < o11 && 0 < a6 && 0 <= i7
random_Return_105(i7, a6, iconst_1, i6, env, static) -{1,1}> main_Store_111(a6, i7, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i7
main_Store_111(a6, i7, iconst_1, i6, env, static) -{1,1}> main_InvokeMethod_114(a6, i7, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i7
main_InvokeMethod_114(a6, i7, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_116(a6, i7, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i7
random_FieldAccess_116(a6, i7, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_127(a6, i7, iconst_1, i6, env, static) :|: 0 <= a6 && 1 <= i6 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i7
random_FieldAccess_127(a6, i7, iconst_1, i6, env, static) -{1,1}> random_ArrayAccess_138(a6, iconst_1, i7, i6, env, static) :|: -1 * static <= iconst_1 && 1 <= i6 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i7

obtained
random_ArrayAccess_138(a6, 1, i7, i12, env, static) -{7,7}> random_InvokeMethod_222(o25', a6, i7, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i7 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2
by chaining
random_ArrayAccess_138(a6, iconst_1, i7, i12, env, static) -{0,0}> random_ArrayAccess_147(a6, iconst_1, i7, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && 1 <= i12
random_ArrayAccess_147(a6, iconst_1, i7, i12, env, static) -{1,1}> random_Store_151(o25, a6, i7, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && o25 < a6 && 0 < a6 && 0 <= i7 && 0 <= o25
random_Store_151(o25, a6, i7, iconst_1, i12, env, static) -{1,1}> random_FieldAccess_153(o25, a6, i7, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && 0 <= o25
random_FieldAccess_153(o25, a6, i7, iconst_1, i12, env, static) -{1,1}> random_ConstantStackPush_162(iconst_1, o25, a6, i7, i12, env, static) :|: -1 * static <= iconst_1 && 2 <= i12 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i7 && 0 <= o25
random_ConstantStackPush_162(iconst_1, o25, a6, i7, i12, env, static) -{1,1}> random_IntArithmetic_171(iconst_1, o25, a6, i7, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && 0 <= o25
random_IntArithmetic_171(iconst_1, o25, a6, i7, i12, env, static) -{1,1}> random_FieldAccess_177(iconst_2, o25, a6, i7, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && 0 <= o25 && iconst_2 = 2
random_FieldAccess_177(iconst_2, o25, a6, i7, iconst_1, i12, env, static) -{1,1}> random_Load_199(o25, a6, i7, iconst_2, i12, env, static') :|: 2 <= i12 && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i7 && 0 <= o25 && iconst_2 = 2 && static' <= static + iconst_2
random_Load_199(o25, a6, i7, iconst_2, i12, env, static) -{1,1}> random_InvokeMethod_222(o25, a6, i7, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i7 && 0 <= o25 && iconst_2 = 2

obtained
random_InvokeMethod_222(o50, a6, i7, 2, i12, env, static) -{6,6}> gcd_Load_315(i7, i22', a6, 2, i12, env, static) :|: 0 <= i22' && 2 <= i12 && 0 <= i7 && 0 < o50 && 0 < a6 && 0 <= o50 && i22' <= o50
by chaining
random_InvokeMethod_222(o50, a6, i7, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_246(o50, a6, i7, iconst_2, i12, env, static) :|: 0 < o50 && 2 <= i12 && 0 <= o50 && 0 < a6 && 0 <= i7 && iconst_2 = 2
random_InvokeMethod_246(o50, a6, i7, iconst_2, i12, env, static) -{1,1}> random_Return_263(i22, a6, i7, iconst_2, i12, env, static) :|: 0 < o50 && 2 <= i12 && 0 <= i22 && 0 < a6 && 0 <= i7 && i22 <= o50 && iconst_2 = 2
random_Return_263(i22, a6, i7, iconst_2, i12, env, static) -{1,1}> main_Store_278(a6, i22, i7, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i22 && 0 < a6 && 0 <= i7 && iconst_2 = 2
main_Store_278(a6, i22, i7, iconst_2, i12, env, static) -{1,1}> main_Load_291(a6, i7, i22, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i22 && 0 < a6 && 0 <= i7 && iconst_2 = 2
main_Load_291(a6, i7, i22, iconst_2, i12, env, static) -{1,1}> main_Load_307(a6, i7, i22, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i22 && 0 < a6 && 0 <= i7 && iconst_2 = 2
main_Load_307(a6, i7, i22, iconst_2, i12, env, static) -{1,1}> main_InvokeMethod_312(a6, i7, i22, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i22 && 0 < a6 && 0 <= i7 && iconst_2 = 2
main_InvokeMethod_312(a6, i7, i22, iconst_2, i12, env, static) -{1,1}> gcd_Load_315(i7, i22, a6, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i22 && 0 < a6 && 0 <= i7 && iconst_2 = 2

obtained
gcd_LE_321(i23, i7, a6, 2, i12, env, static) -{2,2}> gcd_LE_335(i7, i23, a6, 2, i12, env, static) :|: 1 <= i23 && 2 <= i12 && 0 <= i7 && 0 < a6 && 0 < i23 && 0 <= i23
by chaining
gcd_LE_321(i23, i7, a6, iconst_2, i12, env, static) -{0,0}> gcd_LE_326(i23, i7, a6, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i23 && 0 < a6 && 0 <= i7 && iconst_2 = 2 && 0 <= i23
gcd_LE_326(i23, i7, a6, iconst_2, i12, env, static) -{1,1}> gcd_Load_330(i7, i23, a6, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i23 && 0 < a6 && 0 < i23 && 0 <= i7 && iconst_2 = 2
gcd_Load_330(i7, i23, a6, iconst_2, i12, env, static) -{1,1}> gcd_LE_335(i7, i23, a6, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i23 && 0 < a6 && 0 <= i7 && iconst_2 = 2

obtained
gcd_LE_335(i24, i23, a6, 2, i12, env, static) -{12,12}> mod_Load_416(i24, i23, a6, 2, i12, env, static) :|: 1 <= i24 && 1 <= i23 && 0 < a6 && 2 <= i12 && 0 < i24 && 0 < i23 && 0 <= i24 && 0 <= i23
by chaining
gcd_LE_335(i24, i23, a6, iconst_2, i12, env, static) -{0,0}> gcd_LE_340(i24, i23, a6, iconst_2, i12, env, static) :|: 0 <= i24 && 2 <= i12 && 1 <= i24 && 1 <= i23 && 0 < a6 && iconst_2 = 2
gcd_LE_340(i24, i23, a6, iconst_2, i12, env, static) -{1,1}> gcd_Load_344(i24, i23, a6, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < i24 && 0 < a6 && iconst_2 = 2
gcd_Load_344(i24, i23, a6, iconst_2, i12, env, static) -{1,1}> gcd_Store_349(i23, i24, a6, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2
gcd_Store_349(i23, i24, a6, iconst_2, i12, env, static) -{1,1}> gcd_Load_353(i24, i23, a6, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2
gcd_Load_353(i24, i23, a6, iconst_2, i12, env, static) -{1,1}> gcd_Load_357(i24, i23, a6, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2
gcd_Load_357(i24, i23, a6, iconst_2, i12, env, static) -{1,1}> gcd_InvokeMethod_361(i24, i23, a6, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2
gcd_InvokeMethod_361(i24, i23, a6, iconst_2, i12, env, static) -{1,1}> mod_Load_364(i24, i23, a6, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2
mod_Load_364(i24, i23, a6, iconst_2, i12, env, static) -{1,1}> mod_NE_369(i23, i24, a6, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2
mod_NE_369(i23, i24, a6, iconst_2, i12, env, static) -{1,1}> mod_Load_372(i24, i23, a6, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && 0 < i23 && iconst_2 = 2
mod_Load_372(i24, i23, a6, iconst_2, i12, env, static) -{1,1}> mod_GE_374(i23, i24, a6, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2
mod_GE_374(i23, i24, a6, iconst_2, i12, env, static) -{1,1}> mod_Load_376(i24, i23, a6, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2 && 0 <= i23
mod_Load_376(i24, i23, a6, iconst_2, i12, env, static) -{1,1}> mod_LE_378(i24, i23, a6, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2
mod_LE_378(i24, i23, a6, iconst_2, i12, env, static) -{1,1}> mod_Load_380(i24, i23, a6, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < i24 && 0 < a6 && iconst_2 = 2
mod_Load_380(i24, i23, a6, iconst_2, i12, env, static) -{0,0}> mod_Load_416(i24, i23, a6, iconst_2, i12, env, static) :|: 0 <= i24 && 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2

obtained
mod_Load_416(i27, i23, a121, 2, i12, env, static) -{2,2}> mod_LT_418(i27, i23, a121, 2, i12, env, static) :|: 0 < a121 && 1 <= i23 && 2 <= i12 && 0 <= i27
by chaining
mod_Load_416(i27, i23, a121, iconst_2, i12, env, static) -{1,1}> mod_Load_417(i27, i23, a121, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i27 && 1 <= i23 && iconst_2 = 2 && 0 < a121
mod_Load_417(i27, i23, a121, iconst_2, i12, env, static) -{1,1}> mod_LT_418(i27, i23, a121, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i27 && 1 <= i23 && iconst_2 = 2 && 0 < a121

obtained
mod_LT_418(i27, i23, a121, 2, i12, env, static) -{6,6}> mod_Load_416(i29', i23, a121, 2, i12, env, static) :|: i23 <= i27 && 0 < a121 && i27 - i23 = i29' && 0 <= i29' && 1 <= i23 && 2 <= i12 && 1 <= i27 && 0 <= i27
by chaining
mod_LT_418(i27, i23, a121, iconst_2, i12, env, static) -{0,0}> mod_LT_420(i27, i23, a121, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i27 && 1 <= i23 && i23 <= i27 && iconst_2 = 2 && 0 < a121
mod_LT_420(i27, i23, a121, iconst_2, i12, env, static) -{1,1}> mod_Load_423(i27, i23, a121, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i27 && 1 <= i23 && 1 <= i27 && i23 <= i27 && iconst_2 = 2 && 0 < a121
mod_Load_423(i27, i23, a121, iconst_2, i12, env, static) -{1,1}> mod_Load_426(i27, i23, a121, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i23 && 1 <= i27 && iconst_2 = 2 && 0 < a121
mod_Load_426(i27, i23, a121, iconst_2, i12, env, static) -{1,1}> mod_IntArithmetic_428(i27, i23, a121, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i23 && 1 <= i27 && iconst_2 = 2 && 0 < a121
mod_IntArithmetic_428(i27, i23, a121, iconst_2, i12, env, static) -{1,1}> mod_Store_433(i29, i23, a121, iconst_2, i12, env, static) :|: 0 <= i29 && 2 <= i12 && 1 <= i23 && i27 - i23 = i29 && 1 <= i27 && iconst_2 = 2 && 0 < a121
mod_Store_433(i29, i23, a121, iconst_2, i12, env, static) -{1,1}> mod_JMP_436(i29, i23, a121, iconst_2, i12, env, static) :|: 0 <= i29 && 2 <= i12 && 1 <= i23 && iconst_2 = 2 && 0 < a121
mod_JMP_436(i29, i23, a121, iconst_2, i12, env, static) -{1,1}> mod_Load_439(i29, i23, a121, iconst_2, i12, env, static) :|: 0 <= i29 && 2 <= i12 && 1 <= i23 && iconst_2 = 2 && 0 < a121
mod_Load_439(i29, i23, a121, iconst_2, i12, env, static) -{0,0}> mod_Load_416(i29, i23, a121, iconst_2, i12, env, static) :|: 0 <= i29 && 2 <= i12 && 1 <= i23 && iconst_2 = 2 && 0 < a121

obtained
mod_LT_418(i27, i23, a121, 2, i12, env, static) -{7,7}> gcd_Load_315(i23, i27, a121, 2, i12, env, static) :|: 0 <= i27 && 0 <= i23 && 2 <= i12 && 0 < a121 && 1 <= i23 && i27 < i23
by chaining
mod_LT_418(i27, i23, a121, iconst_2, i12, env, static) -{0,0}> mod_LT_419(i27, i23, a121, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i27 && 1 <= i23 && iconst_2 = 2 && i27 < i23 && 0 < a121
mod_LT_419(i27, i23, a121, iconst_2, i12, env, static) -{1,1}> mod_Load_421(i27, i23, a121, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i27 && 1 <= i23 && iconst_2 = 2 && i27 < i23 && 0 < a121
mod_Load_421(i27, i23, a121, iconst_2, i12, env, static) -{1,1}> mod_Return_425(i27, i23, a121, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i27 && 1 <= i23 && iconst_2 = 2 && 0 < a121
mod_Return_425(i27, i23, a121, iconst_2, i12, env, static) -{1,1}> gcd_Store_427(i27, i23, a121, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i27 && 1 <= i23 && iconst_2 = 2 && 0 < a121
gcd_Store_427(i27, i23, a121, iconst_2, i12, env, static) -{1,1}> gcd_Load_429(i27, i23, a121, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i27 && 1 <= i23 && iconst_2 = 2 && 0 < a121
gcd_Load_429(i27, i23, a121, iconst_2, i12, env, static) -{1,1}> gcd_Store_434(i23, i27, a121, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i27 && 1 <= i23 && iconst_2 = 2 && 0 < a121
gcd_Store_434(i23, i27, a121, iconst_2, i12, env, static) -{1,1}> gcd_JMP_438(i23, i27, a121, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i27 && 1 <= i23 && iconst_2 = 2 && 0 < a121
gcd_JMP_438(i23, i27, a121, iconst_2, i12, env, static) -{1,1}> gcd_Load_445(i23, i27, a121, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i27 && 1 <= i23 && iconst_2 = 2 && 0 < a121
gcd_Load_445(i23, i27, a121, iconst_2, i12, env, static) -{0,0}> gcd_Load_315(i23, i27, a121, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i27 && 1 <= i23 && iconst_2 = 2 && 0 < a121 && 0 <= i23

(22) Obligation:

IntTrs with 17 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_2(o2, env, static) -{23,23}> random_ArrayAccess_75(o2, 0, i5', env, static'3) :|: static'3 <= static'2 + o2 && 0 <= i5' && static'2 <= static'1 + 0 && 0 < o2 && 0 <= 2 && i5' < o2 && 0 <= o2 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && -1 * static'3 <= 0 && 0 <= static && 0 < 1 && 0 < 2 && 0 <= 1 && 0 <= static'3
random_ArrayAccess_75(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_77(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_75(a6, 0, i6, env, static) -{7,7}> random_InvokeMethod_95(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1
random_InvokeMethod_95(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_98(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
random_InvokeMethod_95(o11, a6, 1, i6, env, static) -{6,6}> random_ArrayAccess_138(a6, 1, i7', i6, env, static) :|: 0 <= a6 && 0 <= i7' && i7' <= o11 && 0 < a6 && a6 <= static && 0 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 <= o11 && 0 < o11
random_ArrayAccess_138(a6, iconst_1, i7, iconst_1, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i7, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i7
random_ArrayAccess_138(a6, 1, i7, i12, env, static) -{7,7}> random_InvokeMethod_222(o25', a6, i7, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i7 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2
random_InvokeMethod_222(NULL, a6, i7, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_247(NULL, a6, i7, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i7 && iconst_2 = 2
random_InvokeMethod_222(o50, a6, i7, 2, i12, env, static) -{6,6}> gcd_Load_315(i7, i22', a6, 2, i12, env, static) :|: 0 <= i22' && 2 <= i12 && 0 <= i7 && 0 < o50 && 0 < a6 && 0 <= o50 && i22' <= o50
gcd_Load_315(i7, i22, a6, iconst_2, i12, env, static) -{1,1}> gcd_LE_321(i22, i7, a6, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i22 && 0 < a6 && 0 <= i7 && iconst_2 = 2
gcd_LE_321(iconst_0, i7, a6, iconst_2, i12, env, static) -{0,0}> gcd_LE_325(iconst_0, i7, a6, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && 0 <= i7 && iconst_2 = 2
gcd_LE_321(i23, i7, a6, 2, i12, env, static) -{2,2}> gcd_LE_335(i7, i23, a6, 2, i12, env, static) :|: 1 <= i23 && 2 <= i12 && 0 <= i7 && 0 < a6 && 0 < i23 && 0 <= i23
gcd_LE_335(iconst_0, i23, a6, iconst_2, i12, env, static) -{0,0}> gcd_LE_339(iconst_0, i23, a6, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && 1 <= i23 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2
gcd_LE_335(i24, i23, a6, 2, i12, env, static) -{12,12}> mod_Load_416(i24, i23, a6, 2, i12, env, static) :|: 1 <= i24 && 1 <= i23 && 0 < a6 && 2 <= i12 && 0 < i24 && 0 < i23 && 0 <= i24 && 0 <= i23
mod_Load_416(i27, i23, a121, 2, i12, env, static) -{2,2}> mod_LT_418(i27, i23, a121, 2, i12, env, static) :|: 0 < a121 && 1 <= i23 && 2 <= i12 && 0 <= i27
mod_LT_418(i27, i23, a121, 2, i12, env, static) -{6,6}> mod_Load_416(i29', i23, a121, 2, i12, env, static) :|: i23 <= i27 && 0 < a121 && i27 - i23 = i29' && 0 <= i29' && 1 <= i23 && 2 <= i12 && 1 <= i27 && 0 <= i27
mod_LT_418(i27, i23, a121, 2, i12, env, static) -{7,7}> gcd_Load_315(i23, i27, a121, 2, i12, env, static) :|: 0 <= i27 && 0 <= i23 && 2 <= i12 && 0 < a121 && 1 <= i23 && i27 < i23

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

Moved arithmethic from lhss to constraints.

gcd_LE_321(i23, i7, a6, 2, i12, env, static) -{2,2}> gcd_LE_335(i7, i23, a6, 2, i12, env, static) :|: 1 <= i23 && 2 <= i12 && 0 <= i7 && 0 < a6 && 0 < i23 && 0 <= i23
was transformed to
gcd_LE_321(i23, i7, a6, x, i12, env, static) -{2,2}> gcd_LE_335(i7, i23, a6, 2, i12, env, static) :|: 1 <= i23 && 2 <= i12 && 0 <= i7 && 0 < a6 && 0 < i23 && 0 <= i23 && x = 2

random_InvokeMethod_95(o11, a6, 1, i6, env, static) -{6,6}> random_ArrayAccess_138(a6, 1, i7', i6, env, static) :|: 0 <= a6 && 0 <= i7' && i7' <= o11 && 0 < a6 && a6 <= static && 0 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 <= o11 && 0 < o11
was transformed to
random_InvokeMethod_95(o11, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_138(a6, 1, i7', i6, env, static) :|: 0 <= a6 && 0 <= i7' && i7' <= o11 && 0 < a6 && a6 <= static && 0 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 <= o11 && 0 < o11 && x = 1

mod_Load_416(i27, i23, a121, 2, i12, env, static) -{2,2}> mod_LT_418(i27, i23, a121, 2, i12, env, static) :|: 0 < a121 && 1 <= i23 && 2 <= i12 && 0 <= i27
was transformed to
mod_Load_416(i27, i23, a121, x, i12, env, static) -{2,2}> mod_LT_418(i27, i23, a121, 2, i12, env, static) :|: 0 < a121 && 1 <= i23 && 2 <= i12 && 0 <= i27 && x = 2

random_ArrayAccess_138(a6, 1, i7, i12, env, static) -{7,7}> random_InvokeMethod_222(o25', a6, i7, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i7 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2
was transformed to
random_ArrayAccess_138(a6, x, i7, i12, env, static) -{7,7}> random_InvokeMethod_222(o25', a6, i7, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i7 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1

mod_LT_418(i27, i23, a121, 2, i12, env, static) -{7,7}> gcd_Load_315(i23, i27, a121, 2, i12, env, static) :|: 0 <= i27 && 0 <= i23 && 2 <= i12 && 0 < a121 && 1 <= i23 && i27 < i23
was transformed to
mod_LT_418(i27, i23, a121, x, i12, env, static) -{7,7}> gcd_Load_315(i23, i27, a121, 2, i12, env, static) :|: 0 <= i27 && 0 <= i23 && 2 <= i12 && 0 < a121 && 1 <= i23 && i27 < i23 && x = 2

random_InvokeMethod_222(o50, a6, i7, 2, i12, env, static) -{6,6}> gcd_Load_315(i7, i22', a6, 2, i12, env, static) :|: 0 <= i22' && 2 <= i12 && 0 <= i7 && 0 < o50 && 0 < a6 && 0 <= o50 && i22' <= o50
was transformed to
random_InvokeMethod_222(o50, a6, i7, x, i12, env, static) -{6,6}> gcd_Load_315(i7, i22', a6, 2, i12, env, static) :|: 0 <= i22' && 2 <= i12 && 0 <= i7 && 0 < o50 && 0 < a6 && 0 <= o50 && i22' <= o50 && x = 2

mod_LT_418(i27, i23, a121, 2, i12, env, static) -{6,6}> mod_Load_416(i29', i23, a121, 2, i12, env, static) :|: i23 <= i27 && 0 < a121 && i27 - i23 = i29' && 0 <= i29' && 1 <= i23 && 2 <= i12 && 1 <= i27 && 0 <= i27
was transformed to
mod_LT_418(i27, i23, a121, x, i12, env, static) -{6,6}> mod_Load_416(i29', i23, a121, 2, i12, env, static) :|: i23 <= i27 && 0 < a121 && i27 - i23 = i29' && 0 <= i29' && 1 <= i23 && 2 <= i12 && 1 <= i27 && 0 <= i27 && x = 2

gcd_LE_335(i24, i23, a6, 2, i12, env, static) -{12,12}> mod_Load_416(i24, i23, a6, 2, i12, env, static) :|: 1 <= i24 && 1 <= i23 && 0 < a6 && 2 <= i12 && 0 < i24 && 0 < i23 && 0 <= i24 && 0 <= i23
was transformed to
gcd_LE_335(i24, i23, a6, x, i12, env, static) -{12,12}> mod_Load_416(i24, i23, a6, 2, i12, env, static) :|: 1 <= i24 && 1 <= i23 && 0 < a6 && 2 <= i12 && 0 < i24 && 0 < i23 && 0 <= i24 && 0 <= i23 && x = 2

random_ArrayAccess_75(a6, 0, i6, env, static) -{7,7}> random_InvokeMethod_95(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1
was transformed to
random_ArrayAccess_75(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_95(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0

(24) Obligation:

IntTrs with 17 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
gcd_LE_321(i23, i7, a6, x, i12, env, static) -{2,2}> gcd_LE_335(i7, i23, a6, 2, i12, env, static) :|: 1 <= i23 && 2 <= i12 && 0 <= i7 && 0 < a6 && 0 < i23 && 0 <= i23 && x = 2
random_InvokeMethod_95(o11, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_138(a6, 1, i7', i6, env, static) :|: 0 <= a6 && 0 <= i7' && i7' <= o11 && 0 < a6 && a6 <= static && 0 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 <= o11 && 0 < o11 && x = 1
mod_Load_416(i27, i23, a121, x, i12, env, static) -{2,2}> mod_LT_418(i27, i23, a121, 2, i12, env, static) :|: 0 < a121 && 1 <= i23 && 2 <= i12 && 0 <= i27 && x = 2
random_ArrayAccess_138(a6, x, i7, i12, env, static) -{7,7}> random_InvokeMethod_222(o25', a6, i7, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i7 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
mod_LT_418(i27, i23, a121, x, i12, env, static) -{7,7}> gcd_Load_315(i23, i27, a121, 2, i12, env, static) :|: 0 <= i27 && 0 <= i23 && 2 <= i12 && 0 < a121 && 1 <= i23 && i27 < i23 && x = 2
random_InvokeMethod_222(NULL, a6, i7, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_247(NULL, a6, i7, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i7 && iconst_2 = 2
gcd_LE_321(iconst_0, i7, a6, iconst_2, i12, env, static) -{0,0}> gcd_LE_325(iconst_0, i7, a6, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && 0 <= i7 && iconst_2 = 2
main_Load_2(o2, env, static) -{23,23}> random_ArrayAccess_75(o2, 0, i5', env, static'3) :|: static'3 <= static'2 + o2 && 0 <= i5' && static'2 <= static'1 + 0 && 0 < o2 && 0 <= 2 && i5' < o2 && 0 <= o2 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && -1 * static'3 <= 0 && 0 <= static && 0 < 1 && 0 < 2 && 0 <= 1 && 0 <= static'3
gcd_Load_315(i7, i22, a6, iconst_2, i12, env, static) -{1,1}> gcd_LE_321(i22, i7, a6, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i22 && 0 < a6 && 0 <= i7 && iconst_2 = 2
random_InvokeMethod_222(o50, a6, i7, x, i12, env, static) -{6,6}> gcd_Load_315(i7, i22', a6, 2, i12, env, static) :|: 0 <= i22' && 2 <= i12 && 0 <= i7 && 0 < o50 && 0 < a6 && 0 <= o50 && i22' <= o50 && x = 2
random_ArrayAccess_138(a6, iconst_1, i7, iconst_1, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i7, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i7
mod_LT_418(i27, i23, a121, x, i12, env, static) -{6,6}> mod_Load_416(i29', i23, a121, 2, i12, env, static) :|: i23 <= i27 && 0 < a121 && i27 - i23 = i29' && 0 <= i29' && 1 <= i23 && 2 <= i12 && 1 <= i27 && 0 <= i27 && x = 2
gcd_LE_335(iconst_0, i23, a6, iconst_2, i12, env, static) -{0,0}> gcd_LE_339(iconst_0, i23, a6, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && 1 <= i23 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2
random_ArrayAccess_75(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_77(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6
gcd_LE_335(i24, i23, a6, x, i12, env, static) -{12,12}> mod_Load_416(i24, i23, a6, 2, i12, env, static) :|: 1 <= i24 && 1 <= i23 && 0 < a6 && 2 <= i12 && 0 < i24 && 0 < i23 && 0 <= i24 && 0 <= i23 && x = 2
random_InvokeMethod_95(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_98(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
random_ArrayAccess_75(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_95(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0

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

Linearized lhss.

random_ArrayAccess_138(a6, iconst_1, i7, iconst_1, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i7, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i7
was transformed to
random_ArrayAccess_138(a6, iconst_1, i7, x, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i7, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && x = iconst_1

random_ArrayAccess_75(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_77(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6
was transformed to
random_ArrayAccess_75(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_77(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0

(26) Obligation:

IntTrs with 17 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
mod_LT_418(i27, i23, a121, x, i12, env, static) -{6,6}> mod_Load_416(i29', i23, a121, 2, i12, env, static) :|: i23 <= i27 && 0 < a121 && i27 - i23 = i29' && 0 <= i29' && 1 <= i23 && 2 <= i12 && 1 <= i27 && 0 <= i27 && x = 2
mod_Load_416(i27, i23, a121, x, i12, env, static) -{2,2}> mod_LT_418(i27, i23, a121, 2, i12, env, static) :|: 0 < a121 && 1 <= i23 && 2 <= i12 && 0 <= i27 && x = 2
random_InvokeMethod_222(NULL, a6, i7, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_247(NULL, a6, i7, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i7 && iconst_2 = 2
gcd_LE_321(iconst_0, i7, a6, iconst_2, i12, env, static) -{0,0}> gcd_LE_325(iconst_0, i7, a6, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && 0 <= i7 && iconst_2 = 2
random_ArrayAccess_138(a6, x, i7, i12, env, static) -{7,7}> random_InvokeMethod_222(o25', a6, i7, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i7 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
random_InvokeMethod_222(o50, a6, i7, x, i12, env, static) -{6,6}> gcd_Load_315(i7, i22', a6, 2, i12, env, static) :|: 0 <= i22' && 2 <= i12 && 0 <= i7 && 0 < o50 && 0 < a6 && 0 <= o50 && i22' <= o50 && x = 2
main_Load_2(o2, env, static) -{23,23}> random_ArrayAccess_75(o2, 0, i5', env, static'3) :|: static'3 <= static'2 + o2 && 0 <= i5' && static'2 <= static'1 + 0 && 0 < o2 && 0 <= 2 && i5' < o2 && 0 <= o2 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && -1 * static'3 <= 0 && 0 <= static && 0 < 1 && 0 < 2 && 0 <= 1 && 0 <= static'3
gcd_Load_315(i7, i22, a6, iconst_2, i12, env, static) -{1,1}> gcd_LE_321(i22, i7, a6, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i22 && 0 < a6 && 0 <= i7 && iconst_2 = 2
random_ArrayAccess_138(a6, iconst_1, i7, x, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i7, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && x = iconst_1
random_ArrayAccess_75(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_77(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
gcd_LE_335(iconst_0, i23, a6, iconst_2, i12, env, static) -{0,0}> gcd_LE_339(iconst_0, i23, a6, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && 1 <= i23 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2
random_InvokeMethod_95(o11, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_138(a6, 1, i7', i6, env, static) :|: 0 <= a6 && 0 <= i7' && i7' <= o11 && 0 < a6 && a6 <= static && 0 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 <= o11 && 0 < o11 && x = 1
gcd_LE_321(i23, i7, a6, x, i12, env, static) -{2,2}> gcd_LE_335(i7, i23, a6, 2, i12, env, static) :|: 1 <= i23 && 2 <= i12 && 0 <= i7 && 0 < a6 && 0 < i23 && 0 <= i23 && x = 2
mod_LT_418(i27, i23, a121, x, i12, env, static) -{7,7}> gcd_Load_315(i23, i27, a121, 2, i12, env, static) :|: 0 <= i27 && 0 <= i23 && 2 <= i12 && 0 < a121 && 1 <= i23 && i27 < i23 && x = 2
random_ArrayAccess_75(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_95(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
gcd_LE_335(i24, i23, a6, x, i12, env, static) -{12,12}> mod_Load_416(i24, i23, a6, 2, i12, env, static) :|: 1 <= i24 && 1 <= i23 && 0 < a6 && 2 <= i12 && 0 < i24 && 0 < i23 && 0 <= i24 && 0 <= i23 && x = 2
random_InvokeMethod_95(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_98(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6

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

Moved arithmethic from constraints to rhss.

mod_LT_418(i27, i23, a121, x, i12, env, static) -{6,6}> mod_Load_416(i29', i23, a121, 2, i12, env, static) :|: i23 <= i27 && 0 < a121 && i27 - i23 = i29' && 0 <= i29' && 1 <= i23 && 2 <= i12 && 1 <= i27 && 0 <= i27 && x = 2
was transformed to
mod_LT_418(i27, i23, a121, x, i12, env, static) -{6,6}> mod_Load_416(i27 - i23, i23, a121, 2, i12, env, static) :|: i23 <= i27 && 0 < a121 && i27 - i23 = i29' && 0 <= i29' && 1 <= i23 && 2 <= i12 && 1 <= i27 && 0 <= i27 && x = 2

random_InvokeMethod_222(NULL, a6, i7, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_247(NULL, a6, i7, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i7 && iconst_2 = 2
was transformed to
random_InvokeMethod_222(NULL, a6, i7, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_247(0, a6, i7, 2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i7 && iconst_2 = 2

gcd_LE_321(iconst_0, i7, a6, iconst_2, i12, env, static) -{0,0}> gcd_LE_325(iconst_0, i7, a6, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && 0 <= i7 && iconst_2 = 2
was transformed to
gcd_LE_321(iconst_0, i7, a6, iconst_2, i12, env, static) -{0,0}> gcd_LE_325(0, i7, a6, 2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && 0 <= i7 && iconst_2 = 2

gcd_Load_315(i7, i22, a6, iconst_2, i12, env, static) -{1,1}> gcd_LE_321(i22, i7, a6, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i22 && 0 < a6 && 0 <= i7 && iconst_2 = 2
was transformed to
gcd_Load_315(i7, i22, a6, iconst_2, i12, env, static) -{1,1}> gcd_LE_321(i22, i7, a6, 2, i12, env, static) :|: 2 <= i12 && 0 <= i22 && 0 < a6 && 0 <= i7 && iconst_2 = 2

gcd_LE_335(iconst_0, i23, a6, iconst_2, i12, env, static) -{0,0}> gcd_LE_339(iconst_0, i23, a6, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && 1 <= i23 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2
was transformed to
gcd_LE_335(iconst_0, i23, a6, iconst_2, i12, env, static) -{0,0}> gcd_LE_339(0, i23, a6, 2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && 1 <= i23 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2

random_ArrayAccess_75(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_77(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
was transformed to
random_ArrayAccess_75(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_77(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0

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

random_ArrayAccess_138(a6, iconst_1, i7, x, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i7, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && x = iconst_1
was transformed to
random_ArrayAccess_138(a6, iconst_1, i7, x, env, static) -{0,0}> random_ArrayAccess_146(a6, 1, i7, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && x = iconst_1

(28) Obligation:

IntTrs with 17 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
mod_LT_418(i27, i23, a121, x, i12, env, static) -{6,6}> mod_Load_416(i27 - i23, i23, a121, 2, i12, env, static) :|: i23 <= i27 && 0 < a121 && i27 - i23 = i29' && 0 <= i29' && 1 <= i23 && 2 <= i12 && 1 <= i27 && 0 <= i27 && x = 2
mod_Load_416(i27, i23, a121, x, i12, env, static) -{2,2}> mod_LT_418(i27, i23, a121, 2, i12, env, static) :|: 0 < a121 && 1 <= i23 && 2 <= i12 && 0 <= i27 && x = 2
random_InvokeMethod_222(NULL, a6, i7, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_247(0, a6, i7, 2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i7 && iconst_2 = 2
random_ArrayAccess_138(a6, x, i7, i12, env, static) -{7,7}> random_InvokeMethod_222(o25', a6, i7, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i7 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
gcd_LE_321(iconst_0, i7, a6, iconst_2, i12, env, static) -{0,0}> gcd_LE_325(0, i7, a6, 2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && 0 <= i7 && iconst_2 = 2
main_Load_2(o2, env, static) -{23,23}> random_ArrayAccess_75(o2, 0, i5', env, static'3) :|: static'3 <= static'2 + o2 && 0 <= i5' && static'2 <= static'1 + 0 && 0 < o2 && 0 <= 2 && i5' < o2 && 0 <= o2 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && -1 * static'3 <= 0 && 0 <= static && 0 < 1 && 0 < 2 && 0 <= 1 && 0 <= static'3
random_InvokeMethod_222(o50, a6, i7, x, i12, env, static) -{6,6}> gcd_Load_315(i7, i22', a6, 2, i12, env, static) :|: 0 <= i22' && 2 <= i12 && 0 <= i7 && 0 < o50 && 0 < a6 && 0 <= o50 && i22' <= o50 && x = 2
gcd_Load_315(i7, i22, a6, iconst_2, i12, env, static) -{1,1}> gcd_LE_321(i22, i7, a6, 2, i12, env, static) :|: 2 <= i12 && 0 <= i22 && 0 < a6 && 0 <= i7 && iconst_2 = 2
random_InvokeMethod_95(o11, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_138(a6, 1, i7', i6, env, static) :|: 0 <= a6 && 0 <= i7' && i7' <= o11 && 0 < a6 && a6 <= static && 0 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 <= o11 && 0 < o11 && x = 1
gcd_LE_335(iconst_0, i23, a6, iconst_2, i12, env, static) -{0,0}> gcd_LE_339(0, i23, a6, 2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && 1 <= i23 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2
gcd_LE_321(i23, i7, a6, x, i12, env, static) -{2,2}> gcd_LE_335(i7, i23, a6, 2, i12, env, static) :|: 1 <= i23 && 2 <= i12 && 0 <= i7 && 0 < a6 && 0 < i23 && 0 <= i23 && x = 2
random_ArrayAccess_75(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_77(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
mod_LT_418(i27, i23, a121, x, i12, env, static) -{7,7}> gcd_Load_315(i23, i27, a121, 2, i12, env, static) :|: 0 <= i27 && 0 <= i23 && 2 <= i12 && 0 < a121 && 1 <= i23 && i27 < i23 && x = 2
random_ArrayAccess_75(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_95(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
gcd_LE_335(i24, i23, a6, x, i12, env, static) -{12,12}> mod_Load_416(i24, i23, a6, 2, i12, env, static) :|: 1 <= i24 && 1 <= i23 && 0 < a6 && 2 <= i12 && 0 < i24 && 0 < i23 && 0 <= i24 && 0 <= i23 && x = 2
random_InvokeMethod_95(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_98(0, a6, 1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
random_ArrayAccess_138(a6, iconst_1, i7, x, env, static) -{0,0}> random_ArrayAccess_146(a6, 1, i7, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && x = iconst_1

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

Simplified expressions.

random_InvokeMethod_222(o50, a6, i7, x, i12, env, static) -{6,6}> gcd_Load_315(i7, i22', a6, 2, i12, env, static) :|: 0 <= i22' && 2 <= i12 && 0 <= i7 && 0 < o50 && 0 < a6 && 0 <= o50 && i22' <= o50 && x = 2
was transformed to
random_InvokeMethod_222(o50, a6, i7, x, i12, env, static) -{6,6}> gcd_Load_315(i7, i22', a6, 2, i12, env, static) :|: 0 <= i22' && 2 <= i12 && 0 <= i7 && 0 < o50 && 0 < a6 && i22' <= o50 && x = 2

main_Load_2(o2, env, static) -{23,23}> random_ArrayAccess_75(o2, 0, i5', env, static'3) :|: static'3 <= static'2 + o2 && 0 <= i5' && static'2 <= static'1 + 0 && 0 < o2 && 0 <= 2 && i5' < o2 && 0 <= o2 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && -1 * static'3 <= 0 && 0 <= static && 0 < 1 && 0 < 2 && 0 <= 1 && 0 <= static'3
was transformed to
main_Load_2(o2, env, static) -{23,23}> random_ArrayAccess_75(o2, 0, i5', env, static'3) :|: static'3 <= static'2 + o2 && 0 <= i5' && static'2 <= static'1 && 0 < o2 && i5' < o2 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && -1 * static'3 <= 0 && 0 <= static && 0 <= static'3

random_InvokeMethod_95(o11, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_138(a6, 1, i7', i6, env, static) :|: 0 <= a6 && 0 <= i7' && i7' <= o11 && 0 < a6 && a6 <= static && 0 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 <= o11 && 0 < o11 && x = 1
was transformed to
random_InvokeMethod_95(o11, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_138(a6, 1, i7', i6, env, static) :|: 0 <= i7' && i7' <= o11 && 0 < a6 && a6 <= static && 0 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 < o11 && x = 1

gcd_LE_321(i23, i7, a6, x, i12, env, static) -{2,2}> gcd_LE_335(i7, i23, a6, 2, i12, env, static) :|: 1 <= i23 && 2 <= i12 && 0 <= i7 && 0 < a6 && 0 < i23 && 0 <= i23 && x = 2
was transformed to
gcd_LE_321(i23, i7, a6, x, i12, env, static) -{2,2}> gcd_LE_335(i7, i23, a6, 2, i12, env, static) :|: 1 <= i23 && 2 <= i12 && 0 <= i7 && 0 < a6 && 0 < i23 && x = 2

mod_LT_418(i27, i23, a121, x, i12, env, static) -{6,6}> mod_Load_416(i27 - i23, i23, a121, 2, i12, env, static) :|: i23 <= i27 && 0 < a121 && i27 - i23 = i29' && 0 <= i29' && 1 <= i23 && 2 <= i12 && 1 <= i27 && 0 <= i27 && x = 2
was transformed to
mod_LT_418(i27, i23, a121, x, i12, env, static) -{6,6}> mod_Load_416(i27 + -1 * i23, i23, a121, 2, i12, env, static) :|: i23 <= i27 && 0 < a121 && i27 + -1 * i23 = i29' && 0 <= i29' && 1 <= i23 && 2 <= i12 && 1 <= i27 && 0 <= i27 && x = 2

gcd_LE_335(i24, i23, a6, x, i12, env, static) -{12,12}> mod_Load_416(i24, i23, a6, 2, i12, env, static) :|: 1 <= i24 && 1 <= i23 && 0 < a6 && 2 <= i12 && 0 < i24 && 0 < i23 && 0 <= i24 && 0 <= i23 && x = 2
was transformed to
gcd_LE_335(i24, i23, a6, x, i12, env, static) -{12,12}> mod_Load_416(i24, i23, a6, 2, i12, env, static) :|: 1 <= i24 && 1 <= i23 && 0 < a6 && 2 <= i12 && 0 < i24 && 0 < i23 && x = 2

(30) Obligation:

IntTrs with 17 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
random_InvokeMethod_222(o50, a6, i7, x, i12, env, static) -{6,6}> gcd_Load_315(i7, i22', a6, 2, i12, env, static) :|: 0 <= i22' && 2 <= i12 && 0 <= i7 && 0 < o50 && 0 < a6 && i22' <= o50 && x = 2
random_InvokeMethod_95(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_98(0, a6, 1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
main_Load_2(o2, env, static) -{23,23}> random_ArrayAccess_75(o2, 0, i5', env, static'3) :|: static'3 <= static'2 + o2 && 0 <= i5' && static'2 <= static'1 && 0 < o2 && i5' < o2 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && -1 * static'3 <= 0 && 0 <= static && 0 <= static'3
mod_Load_416(i27, i23, a121, x, i12, env, static) -{2,2}> mod_LT_418(i27, i23, a121, 2, i12, env, static) :|: 0 < a121 && 1 <= i23 && 2 <= i12 && 0 <= i27 && x = 2
random_ArrayAccess_138(a6, x, i7, i12, env, static) -{7,7}> random_InvokeMethod_222(o25', a6, i7, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i7 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
gcd_LE_335(iconst_0, i23, a6, iconst_2, i12, env, static) -{0,0}> gcd_LE_339(0, i23, a6, 2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && 1 <= i23 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2
mod_LT_418(i27, i23, a121, x, i12, env, static) -{6,6}> mod_Load_416(i27 + -1 * i23, i23, a121, 2, i12, env, static) :|: i23 <= i27 && 0 < a121 && i27 + -1 * i23 = i29' && 0 <= i29' && 1 <= i23 && 2 <= i12 && 1 <= i27 && 0 <= i27 && x = 2
random_ArrayAccess_75(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_77(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
random_InvokeMethod_95(o11, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_138(a6, 1, i7', i6, env, static) :|: 0 <= i7' && i7' <= o11 && 0 < a6 && a6 <= static && 0 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 < o11 && x = 1
mod_LT_418(i27, i23, a121, x, i12, env, static) -{7,7}> gcd_Load_315(i23, i27, a121, 2, i12, env, static) :|: 0 <= i27 && 0 <= i23 && 2 <= i12 && 0 < a121 && 1 <= i23 && i27 < i23 && x = 2
gcd_Load_315(i7, i22, a6, iconst_2, i12, env, static) -{1,1}> gcd_LE_321(i22, i7, a6, 2, i12, env, static) :|: 2 <= i12 && 0 <= i22 && 0 < a6 && 0 <= i7 && iconst_2 = 2
gcd_LE_321(iconst_0, i7, a6, iconst_2, i12, env, static) -{0,0}> gcd_LE_325(0, i7, a6, 2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && 0 <= i7 && iconst_2 = 2
random_InvokeMethod_222(NULL, a6, i7, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_247(0, a6, i7, 2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i7 && iconst_2 = 2
gcd_LE_335(i24, i23, a6, x, i12, env, static) -{12,12}> mod_Load_416(i24, i23, a6, 2, i12, env, static) :|: 1 <= i24 && 1 <= i23 && 0 < a6 && 2 <= i12 && 0 < i24 && 0 < i23 && x = 2
random_ArrayAccess_75(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_95(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
gcd_LE_321(i23, i7, a6, x, i12, env, static) -{2,2}> gcd_LE_335(i7, i23, a6, 2, i12, env, static) :|: 1 <= i23 && 2 <= i12 && 0 <= i7 && 0 < a6 && 0 < i23 && x = 2
random_ArrayAccess_138(a6, iconst_1, i7, x, env, static) -{0,0}> random_ArrayAccess_146(a6, 1, i7, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && x = iconst_1

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

Transformed 107 jbc graph edges to a weighted ITS with 107 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 107 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_2(o2, env, static) -{0,0}> main_Load_3(o2, env, static) :|: 0 < o2
main_Load_3(o2, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_5(o2, env, static) :|: 0 < o2
langle_clinit_rangle_ConstantStackPush_5(o2, env, static) -{1,1}> langle_clinit_rangle_ArrayCreate_13(iconst_0, o2, env, static) :|: 0 < o2 && iconst_0 = 0
langle_clinit_rangle_ArrayCreate_13(iconst_0, o2, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_16(a2, o2, iconst_0, env, static) :|: a2 = 2 && 0 < o2 && iconst_0 = 0 && 0 < a2
langle_clinit_rangle_FieldAccess_16(a2, o2, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_18(o2, env, static') :|: 0 <= a2 && 0 < o2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2
langle_clinit_rangle_New_18(o2, env, static) -{0,0}> langle_clinit_rangle_New_19(o2, env, static) :|: 0 < o2
langle_clinit_rangle_New_19(o2, env, static) -{0,0}> langle_clinit_rangle_New_20(o2, env, static) :|: 0 < o2 && 0 <= static
langle_clinit_rangle_New_20(o2, env, static) -{1,1}> langle_clinit_rangle_Duplicate_23(o4, o2, env, static) :|: o4 = 1 && 0 < o2 && 0 < o4
langle_clinit_rangle_Duplicate_23(o4, o2, env, static) -{1,1}> langle_clinit_rangle_ConstantStackPush_25(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_clinit_rangle_ConstantStackPush_25(o4, o2, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_30(o4, NULL, o2, env, static) :|: NULL = 0 && 0 < o2 && 0 < o4
langle_clinit_rangle_InvokeMethod_30(o4, NULL, o2, env, static) -{1,1}> langle_init_rangle_Load_33(o4, o2, env, static) :|: NULL = 0 && 0 < o2 && 0 < o4
langle_init_rangle_Load_33(o4, o2, env, static) -{1,1}> langle_init_rangle_InvokeMethod_37(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_InvokeMethod_37(o4, o2, env, static) -{1,1}> langle_init_rangle_Load_39(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Load_39(o4, o2, env, static) -{1,1}> langle_init_rangle_InvokeMethod_41(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_InvokeMethod_41(o4, o2, env, static) -{1,1}> langle_init_rangle_Return_45(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Return_45(o4, o2, env, static) -{1,1}> langle_init_rangle_Return_51(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Return_51(o4, o2, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_52(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_clinit_rangle_FieldAccess_52(o4, o2, env, static) -{1,1}> langle_clinit_rangle_Return_53(o2, env, static') :|: 0 < o2 && 0 <= o4 && 0 < o4 && 0 <= static && static' <= static + o4
langle_clinit_rangle_Return_53(o2, env, static) -{1,1}> main_Load_55(o2, env, static) :|: 0 < o2
main_Load_55(o2, env, static) -{0,0}> main_Load_56(o2, env, static) :|: 0 < o2
main_Load_56(o2, env, static) -{0,0}> main_Load_57(o2, env, static) :|: 0 < o2 && 0 <= static
main_Load_57(o2, env, static) -{0,0}> main_Load_58(o2, env, static) :|: 0 < o2
main_Load_58(o2, env, static) -{0,0}> main_Load_61(o2, env, static) :|: 0 < o2
main_Load_61(o2, env, static) -{1,1}> main_FieldAccess_62(o2, env, static) :|: 0 < o2
main_FieldAccess_62(o2, env, static) -{0,0}> main_FieldAccess_63(o2, env, static) :|: 0 < o2
main_FieldAccess_63(o2, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_65(o2, NULL, iconst_0, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
langle_clinit_rangle_ConstantStackPush_65(o2, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_66(iconst_0, o2, NULL, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
langle_clinit_rangle_FieldAccess_66(iconst_0, o2, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_67(o2, NULL, iconst_0, env, static') :|: NULL = 0 && 0 < o2 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0
langle_clinit_rangle_Return_67(o2, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_68(o2, NULL, iconst_0, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
main_FieldAccess_68(o2, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_69(o2, iconst_0, env, static') :|: NULL = 0 && 0 < o2 && 0 <= o2 && iconst_0 = 0 && 0 <= static && static' <= static + o2
main_InvokeMethod_69(o2, iconst_0, env, static) -{1,1}> random_FieldAccess_70(o2, iconst_0, env, static) :|: 0 < o2 && iconst_0 = 0
random_FieldAccess_70(o2, iconst_0, env, static) -{1,1}> random_FieldAccess_71(o2, iconst_0, env, static) :|: 0 < o2 && o2 <= static && 0 <= o2 && iconst_0 = 0 && 0 <= static
random_FieldAccess_71(o2, iconst_0, env, static) -{1,1}> random_ArrayAccess_73(o2, iconst_0, env, static) :|: 0 < o2 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static
random_ArrayAccess_73(a6, iconst_0, env, static) -{0,0}> random_ArrayAccess_75(a6, iconst_0, i5, env, static) :|: i5 < a6 && iconst_0 = 0 && 0 < a6 && 0 <= i5
random_ArrayAccess_75(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_77(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_75(a6, iconst_0, i6, env, static) -{0,0}> random_ArrayAccess_78(a6, iconst_0, i6, env, static) :|: 0 <= i6 && 1 <= i6 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_78(a6, iconst_0, i6, env, static) -{1,1}> random_Store_83(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && o8 < a6 && iconst_0 = 0 && 0 < a6
random_Store_83(o8, a6, iconst_0, i6, env, static) -{1,1}> random_FieldAccess_84(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_0 = 0 && 0 < a6
random_FieldAccess_84(o8, a6, iconst_0, i6, env, static) -{1,1}> random_ConstantStackPush_87(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_87(iconst_0, o8, a6, i6, env, static) -{1,1}> random_IntArithmetic_89(iconst_0, iconst_1, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_IntArithmetic_89(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_92(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_92(o8, a6, iconst_1, i6, env, static) -{1,1}> random_InvokeMethod_95(o8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && 0 < a6
random_InvokeMethod_95(o11, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_97(o11, a6, iconst_1, i6, env, static) :|: 0 <= o11 && 1 <= i6 && iconst_1 = 1 && 0 < o11 && 0 < a6
random_InvokeMethod_95(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_98(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
random_InvokeMethod_97(o11, a6, iconst_1, i6, env, static) -{1,1}> random_Return_105(i7, a6, iconst_1, i6, env, static) :|: 1 <= i6 && i7 <= o11 && iconst_1 = 1 && 0 < o11 && 0 < a6 && 0 <= i7
random_Return_105(i7, a6, iconst_1, i6, env, static) -{1,1}> main_Store_111(a6, i7, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i7
main_Store_111(a6, i7, iconst_1, i6, env, static) -{1,1}> main_InvokeMethod_114(a6, i7, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i7
main_InvokeMethod_114(a6, i7, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_116(a6, i7, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i7
random_FieldAccess_116(a6, i7, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_127(a6, i7, iconst_1, i6, env, static) :|: 0 <= a6 && 1 <= i6 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i7
random_FieldAccess_127(a6, i7, iconst_1, i6, env, static) -{1,1}> random_ArrayAccess_138(a6, iconst_1, i7, i6, env, static) :|: -1 * static <= iconst_1 && 1 <= i6 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i7
random_ArrayAccess_138(a6, iconst_1, i7, iconst_1, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i7, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i7
random_ArrayAccess_138(a6, iconst_1, i7, i12, env, static) -{0,0}> random_ArrayAccess_147(a6, iconst_1, i7, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && 1 <= i12
random_ArrayAccess_147(a6, iconst_1, i7, i12, env, static) -{1,1}> random_Store_151(o25, a6, i7, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && o25 < a6 && 0 < a6 && 0 <= i7 && 0 <= o25
random_Store_151(o25, a6, i7, iconst_1, i12, env, static) -{1,1}> random_FieldAccess_153(o25, a6, i7, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && 0 <= o25
random_FieldAccess_153(o25, a6, i7, iconst_1, i12, env, static) -{1,1}> random_ConstantStackPush_162(iconst_1, o25, a6, i7, i12, env, static) :|: -1 * static <= iconst_1 && 2 <= i12 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i7 && 0 <= o25
random_ConstantStackPush_162(iconst_1, o25, a6, i7, i12, env, static) -{1,1}> random_IntArithmetic_171(iconst_1, o25, a6, i7, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && 0 <= o25
random_IntArithmetic_171(iconst_1, o25, a6, i7, i12, env, static) -{1,1}> random_FieldAccess_177(iconst_2, o25, a6, i7, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && 0 <= o25 && iconst_2 = 2
random_FieldAccess_177(iconst_2, o25, a6, i7, iconst_1, i12, env, static) -{1,1}> random_Load_199(o25, a6, i7, iconst_2, i12, env, static') :|: 2 <= i12 && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i7 && 0 <= o25 && iconst_2 = 2 && static' <= static + iconst_2
random_Load_199(o25, a6, i7, iconst_2, i12, env, static) -{1,1}> random_InvokeMethod_222(o25, a6, i7, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i7 && 0 <= o25 && iconst_2 = 2
random_InvokeMethod_222(o50, a6, i7, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_246(o50, a6, i7, iconst_2, i12, env, static) :|: 0 < o50 && 2 <= i12 && 0 <= o50 && 0 < a6 && 0 <= i7 && iconst_2 = 2
random_InvokeMethod_222(NULL, a6, i7, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_247(NULL, a6, i7, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i7 && iconst_2 = 2
random_InvokeMethod_246(o50, a6, i7, iconst_2, i12, env, static) -{1,1}> random_Return_263(i22, a6, i7, iconst_2, i12, env, static) :|: 0 < o50 && 2 <= i12 && 0 <= i22 && 0 < a6 && 0 <= i7 && i22 <= o50 && iconst_2 = 2
random_Return_263(i22, a6, i7, iconst_2, i12, env, static) -{1,1}> main_Store_278(a6, i22, i7, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i22 && 0 < a6 && 0 <= i7 && iconst_2 = 2
main_Store_278(a6, i22, i7, iconst_2, i12, env, static) -{1,1}> main_Load_291(a6, i7, i22, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i22 && 0 < a6 && 0 <= i7 && iconst_2 = 2
main_Load_291(a6, i7, i22, iconst_2, i12, env, static) -{1,1}> main_Load_307(a6, i7, i22, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i22 && 0 < a6 && 0 <= i7 && iconst_2 = 2
main_Load_307(a6, i7, i22, iconst_2, i12, env, static) -{1,1}> main_InvokeMethod_312(a6, i7, i22, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i22 && 0 < a6 && 0 <= i7 && iconst_2 = 2
main_InvokeMethod_312(a6, i7, i22, iconst_2, i12, env, static) -{1,1}> gcd_Load_315(i7, i22, a6, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i22 && 0 < a6 && 0 <= i7 && iconst_2 = 2
gcd_Load_315(i7, i22, a6, iconst_2, i12, env, static) -{1,1}> gcd_LE_321(i22, i7, a6, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i22 && 0 < a6 && 0 <= i7 && iconst_2 = 2
gcd_LE_321(iconst_0, i7, a6, iconst_2, i12, env, static) -{0,0}> gcd_LE_325(iconst_0, i7, a6, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && 0 <= i7 && iconst_2 = 2
gcd_LE_321(i23, i7, a6, iconst_2, i12, env, static) -{0,0}> gcd_LE_326(i23, i7, a6, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i23 && 0 < a6 && 0 <= i7 && iconst_2 = 2 && 0 <= i23
gcd_LE_326(i23, i7, a6, iconst_2, i12, env, static) -{1,1}> gcd_Load_330(i7, i23, a6, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i23 && 0 < a6 && 0 < i23 && 0 <= i7 && iconst_2 = 2
gcd_Load_330(i7, i23, a6, iconst_2, i12, env, static) -{1,1}> gcd_LE_335(i7, i23, a6, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i23 && 0 < a6 && 0 <= i7 && iconst_2 = 2
gcd_LE_335(iconst_0, i23, a6, iconst_2, i12, env, static) -{0,0}> gcd_LE_339(iconst_0, i23, a6, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && 1 <= i23 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2
gcd_LE_335(i24, i23, a6, iconst_2, i12, env, static) -{0,0}> gcd_LE_340(i24, i23, a6, iconst_2, i12, env, static) :|: 0 <= i24 && 2 <= i12 && 1 <= i24 && 1 <= i23 && 0 < a6 && iconst_2 = 2
gcd_LE_340(i24, i23, a6, iconst_2, i12, env, static) -{1,1}> gcd_Load_344(i24, i23, a6, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < i24 && 0 < a6 && iconst_2 = 2
gcd_Load_344(i24, i23, a6, iconst_2, i12, env, static) -{1,1}> gcd_Store_349(i23, i24, a6, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2
gcd_Store_349(i23, i24, a6, iconst_2, i12, env, static) -{1,1}> gcd_Load_353(i24, i23, a6, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2
gcd_Load_353(i24, i23, a6, iconst_2, i12, env, static) -{1,1}> gcd_Load_357(i24, i23, a6, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2
gcd_Load_357(i24, i23, a6, iconst_2, i12, env, static) -{1,1}> gcd_InvokeMethod_361(i24, i23, a6, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2
gcd_InvokeMethod_361(i24, i23, a6, iconst_2, i12, env, static) -{1,1}> mod_Load_364(i24, i23, a6, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2
mod_Load_364(i24, i23, a6, iconst_2, i12, env, static) -{1,1}> mod_NE_369(i23, i24, a6, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2
mod_NE_369(i23, i24, a6, iconst_2, i12, env, static) -{1,1}> mod_Load_372(i24, i23, a6, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && 0 < i23 && iconst_2 = 2
mod_Load_372(i24, i23, a6, iconst_2, i12, env, static) -{1,1}> mod_GE_374(i23, i24, a6, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2
mod_GE_374(i23, i24, a6, iconst_2, i12, env, static) -{1,1}> mod_Load_376(i24, i23, a6, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2 && 0 <= i23
mod_Load_376(i24, i23, a6, iconst_2, i12, env, static) -{1,1}> mod_LE_378(i24, i23, a6, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2
mod_LE_378(i24, i23, a6, iconst_2, i12, env, static) -{1,1}> mod_Load_380(i24, i23, a6, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < i24 && 0 < a6 && iconst_2 = 2
mod_Load_380(i24, i23, a6, iconst_2, i12, env, static) -{0,0}> mod_Load_416(i24, i23, a6, iconst_2, i12, env, static) :|: 0 <= i24 && 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2
mod_Load_416(i27, i23, a121, iconst_2, i12, env, static) -{1,1}> mod_Load_417(i27, i23, a121, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i27 && 1 <= i23 && iconst_2 = 2 && 0 < a121
mod_Load_417(i27, i23, a121, iconst_2, i12, env, static) -{1,1}> mod_LT_418(i27, i23, a121, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i27 && 1 <= i23 && iconst_2 = 2 && 0 < a121
mod_LT_418(i27, i23, a121, iconst_2, i12, env, static) -{0,0}> mod_LT_419(i27, i23, a121, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i27 && 1 <= i23 && iconst_2 = 2 && i27 < i23 && 0 < a121
mod_LT_418(i27, i23, a121, iconst_2, i12, env, static) -{0,0}> mod_LT_420(i27, i23, a121, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i27 && 1 <= i23 && i23 <= i27 && iconst_2 = 2 && 0 < a121
mod_LT_419(i27, i23, a121, iconst_2, i12, env, static) -{1,1}> mod_Load_421(i27, i23, a121, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i27 && 1 <= i23 && iconst_2 = 2 && i27 < i23 && 0 < a121
mod_LT_420(i27, i23, a121, iconst_2, i12, env, static) -{1,1}> mod_Load_423(i27, i23, a121, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i27 && 1 <= i23 && 1 <= i27 && i23 <= i27 && iconst_2 = 2 && 0 < a121
mod_Load_421(i27, i23, a121, iconst_2, i12, env, static) -{1,1}> mod_Return_425(i27, i23, a121, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i27 && 1 <= i23 && iconst_2 = 2 && 0 < a121
mod_Load_423(i27, i23, a121, iconst_2, i12, env, static) -{1,1}> mod_Load_426(i27, i23, a121, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i23 && 1 <= i27 && iconst_2 = 2 && 0 < a121
mod_Return_425(i27, i23, a121, iconst_2, i12, env, static) -{1,1}> gcd_Store_427(i27, i23, a121, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i27 && 1 <= i23 && iconst_2 = 2 && 0 < a121
mod_Load_426(i27, i23, a121, iconst_2, i12, env, static) -{1,1}> mod_IntArithmetic_428(i27, i23, a121, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i23 && 1 <= i27 && iconst_2 = 2 && 0 < a121
gcd_Store_427(i27, i23, a121, iconst_2, i12, env, static) -{1,1}> gcd_Load_429(i27, i23, a121, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i27 && 1 <= i23 && iconst_2 = 2 && 0 < a121
mod_IntArithmetic_428(i27, i23, a121, iconst_2, i12, env, static) -{1,1}> mod_Store_433(i29, i23, a121, iconst_2, i12, env, static) :|: 0 <= i29 && 2 <= i12 && 1 <= i23 && i27 - i23 = i29 && 1 <= i27 && iconst_2 = 2 && 0 < a121
gcd_Load_429(i27, i23, a121, iconst_2, i12, env, static) -{1,1}> gcd_Store_434(i23, i27, a121, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i27 && 1 <= i23 && iconst_2 = 2 && 0 < a121
mod_Store_433(i29, i23, a121, iconst_2, i12, env, static) -{1,1}> mod_JMP_436(i29, i23, a121, iconst_2, i12, env, static) :|: 0 <= i29 && 2 <= i12 && 1 <= i23 && iconst_2 = 2 && 0 < a121
gcd_Store_434(i23, i27, a121, iconst_2, i12, env, static) -{1,1}> gcd_JMP_438(i23, i27, a121, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i27 && 1 <= i23 && iconst_2 = 2 && 0 < a121
mod_JMP_436(i29, i23, a121, iconst_2, i12, env, static) -{1,1}> mod_Load_439(i29, i23, a121, iconst_2, i12, env, static) :|: 0 <= i29 && 2 <= i12 && 1 <= i23 && iconst_2 = 2 && 0 < a121
gcd_JMP_438(i23, i27, a121, iconst_2, i12, env, static) -{1,1}> gcd_Load_445(i23, i27, a121, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i27 && 1 <= i23 && iconst_2 = 2 && 0 < a121
mod_Load_439(i29, i23, a121, iconst_2, i12, env, static) -{0,0}> mod_Load_416(i29, i23, a121, iconst_2, i12, env, static) :|: 0 <= i29 && 2 <= i12 && 1 <= i23 && iconst_2 = 2 && 0 < a121
gcd_Load_445(i23, i27, a121, iconst_2, i12, env, static) -{0,0}> gcd_Load_315(i23, i27, a121, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i27 && 1 <= i23 && iconst_2 = 2 && 0 < a121 && 0 <= i23

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

obtained
main_Load_2(o2, env, static) -{23,23}> random_ArrayAccess_75(o2, 0, i5', env, static'3) :|: static'3 <= static'2 + o2 && 0 <= i5' && static'2 <= static'1 + 0 && 0 < o2 && 0 <= 2 && i5' < o2 && 0 <= o2 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && -1 * static'3 <= 0 && 0 <= static && 0 < 1 && 0 < 2 && 0 <= 1 && 0 <= static'3
by chaining
main_Load_2(o2, env, static) -{0,0}> main_Load_3(o2, env, static) :|: 0 < o2
main_Load_3(o2, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_5(o2, env, static) :|: 0 < o2
langle_clinit_rangle_ConstantStackPush_5(o2, env, static) -{1,1}> langle_clinit_rangle_ArrayCreate_13(iconst_0, o2, env, static) :|: 0 < o2 && iconst_0 = 0
langle_clinit_rangle_ArrayCreate_13(iconst_0, o2, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_16(a2, o2, iconst_0, env, static) :|: a2 = 2 && 0 < o2 && iconst_0 = 0 && 0 < a2
langle_clinit_rangle_FieldAccess_16(a2, o2, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_18(o2, env, static') :|: 0 <= a2 && 0 < o2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2
langle_clinit_rangle_New_18(o2, env, static) -{0,0}> langle_clinit_rangle_New_19(o2, env, static) :|: 0 < o2
langle_clinit_rangle_New_19(o2, env, static) -{0,0}> langle_clinit_rangle_New_20(o2, env, static) :|: 0 < o2 && 0 <= static
langle_clinit_rangle_New_20(o2, env, static) -{1,1}> langle_clinit_rangle_Duplicate_23(o4, o2, env, static) :|: o4 = 1 && 0 < o2 && 0 < o4
langle_clinit_rangle_Duplicate_23(o4, o2, env, static) -{1,1}> langle_clinit_rangle_ConstantStackPush_25(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_clinit_rangle_ConstantStackPush_25(o4, o2, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_30(o4, NULL, o2, env, static) :|: NULL = 0 && 0 < o2 && 0 < o4
langle_clinit_rangle_InvokeMethod_30(o4, NULL, o2, env, static) -{1,1}> langle_init_rangle_Load_33(o4, o2, env, static) :|: NULL = 0 && 0 < o2 && 0 < o4
langle_init_rangle_Load_33(o4, o2, env, static) -{1,1}> langle_init_rangle_InvokeMethod_37(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_InvokeMethod_37(o4, o2, env, static) -{1,1}> langle_init_rangle_Load_39(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Load_39(o4, o2, env, static) -{1,1}> langle_init_rangle_InvokeMethod_41(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_InvokeMethod_41(o4, o2, env, static) -{1,1}> langle_init_rangle_Return_45(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Return_45(o4, o2, env, static) -{1,1}> langle_init_rangle_Return_51(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Return_51(o4, o2, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_52(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_clinit_rangle_FieldAccess_52(o4, o2, env, static) -{1,1}> langle_clinit_rangle_Return_53(o2, env, static') :|: 0 < o2 && 0 <= o4 && 0 < o4 && 0 <= static && static' <= static + o4
langle_clinit_rangle_Return_53(o2, env, static) -{1,1}> main_Load_55(o2, env, static) :|: 0 < o2
main_Load_55(o2, env, static) -{0,0}> main_Load_56(o2, env, static) :|: 0 < o2
main_Load_56(o2, env, static) -{0,0}> main_Load_57(o2, env, static) :|: 0 < o2 && 0 <= static
main_Load_57(o2, env, static) -{0,0}> main_Load_58(o2, env, static) :|: 0 < o2
main_Load_58(o2, env, static) -{0,0}> main_Load_61(o2, env, static) :|: 0 < o2
main_Load_61(o2, env, static) -{1,1}> main_FieldAccess_62(o2, env, static) :|: 0 < o2
main_FieldAccess_62(o2, env, static) -{0,0}> main_FieldAccess_63(o2, env, static) :|: 0 < o2
main_FieldAccess_63(o2, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_65(o2, NULL, iconst_0, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
langle_clinit_rangle_ConstantStackPush_65(o2, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_66(iconst_0, o2, NULL, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
langle_clinit_rangle_FieldAccess_66(iconst_0, o2, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_67(o2, NULL, iconst_0, env, static') :|: NULL = 0 && 0 < o2 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0
langle_clinit_rangle_Return_67(o2, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_68(o2, NULL, iconst_0, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
main_FieldAccess_68(o2, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_69(o2, iconst_0, env, static') :|: NULL = 0 && 0 < o2 && 0 <= o2 && iconst_0 = 0 && 0 <= static && static' <= static + o2
main_InvokeMethod_69(o2, iconst_0, env, static) -{1,1}> random_FieldAccess_70(o2, iconst_0, env, static) :|: 0 < o2 && iconst_0 = 0
random_FieldAccess_70(o2, iconst_0, env, static) -{1,1}> random_FieldAccess_71(o2, iconst_0, env, static) :|: 0 < o2 && o2 <= static && 0 <= o2 && iconst_0 = 0 && 0 <= static
random_FieldAccess_71(o2, iconst_0, env, static) -{1,1}> random_ArrayAccess_73(o2, iconst_0, env, static) :|: 0 < o2 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static
random_ArrayAccess_73(a6, iconst_0, env, static) -{0,0}> random_ArrayAccess_75(a6, iconst_0, i5, env, static) :|: i5 < a6 && iconst_0 = 0 && 0 < a6 && 0 <= i5

obtained
random_ArrayAccess_75(a6, 0, i6, env, static) -{7,7}> random_InvokeMethod_95(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1
by chaining
random_ArrayAccess_75(a6, iconst_0, i6, env, static) -{0,0}> random_ArrayAccess_78(a6, iconst_0, i6, env, static) :|: 0 <= i6 && 1 <= i6 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_78(a6, iconst_0, i6, env, static) -{1,1}> random_Store_83(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && o8 < a6 && iconst_0 = 0 && 0 < a6
random_Store_83(o8, a6, iconst_0, i6, env, static) -{1,1}> random_FieldAccess_84(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_0 = 0 && 0 < a6
random_FieldAccess_84(o8, a6, iconst_0, i6, env, static) -{1,1}> random_ConstantStackPush_87(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_87(iconst_0, o8, a6, i6, env, static) -{1,1}> random_IntArithmetic_89(iconst_0, iconst_1, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_IntArithmetic_89(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_92(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_92(o8, a6, iconst_1, i6, env, static) -{1,1}> random_InvokeMethod_95(o8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && 0 < a6

obtained
random_InvokeMethod_95(o11, a6, 1, i6, env, static) -{6,6}> random_ArrayAccess_138(a6, 1, i7', i6, env, static) :|: 0 <= a6 && 0 <= i7' && i7' <= o11 && 0 < a6 && a6 <= static && 0 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 <= o11 && 0 < o11
by chaining
random_InvokeMethod_95(o11, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_97(o11, a6, iconst_1, i6, env, static) :|: 0 <= o11 && 1 <= i6 && iconst_1 = 1 && 0 < o11 && 0 < a6
random_InvokeMethod_97(o11, a6, iconst_1, i6, env, static) -{1,1}> random_Return_105(i7, a6, iconst_1, i6, env, static) :|: 1 <= i6 && i7 <= o11 && iconst_1 = 1 && 0 < o11 && 0 < a6 && 0 <= i7
random_Return_105(i7, a6, iconst_1, i6, env, static) -{1,1}> main_Store_111(a6, i7, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i7
main_Store_111(a6, i7, iconst_1, i6, env, static) -{1,1}> main_InvokeMethod_114(a6, i7, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i7
main_InvokeMethod_114(a6, i7, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_116(a6, i7, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i7
random_FieldAccess_116(a6, i7, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_127(a6, i7, iconst_1, i6, env, static) :|: 0 <= a6 && 1 <= i6 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i7
random_FieldAccess_127(a6, i7, iconst_1, i6, env, static) -{1,1}> random_ArrayAccess_138(a6, iconst_1, i7, i6, env, static) :|: -1 * static <= iconst_1 && 1 <= i6 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i7

obtained
random_ArrayAccess_138(a6, 1, i7, i12, env, static) -{7,7}> random_InvokeMethod_222(o25', a6, i7, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i7 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2
by chaining
random_ArrayAccess_138(a6, iconst_1, i7, i12, env, static) -{0,0}> random_ArrayAccess_147(a6, iconst_1, i7, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && 1 <= i12
random_ArrayAccess_147(a6, iconst_1, i7, i12, env, static) -{1,1}> random_Store_151(o25, a6, i7, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && o25 < a6 && 0 < a6 && 0 <= i7 && 0 <= o25
random_Store_151(o25, a6, i7, iconst_1, i12, env, static) -{1,1}> random_FieldAccess_153(o25, a6, i7, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && 0 <= o25
random_FieldAccess_153(o25, a6, i7, iconst_1, i12, env, static) -{1,1}> random_ConstantStackPush_162(iconst_1, o25, a6, i7, i12, env, static) :|: -1 * static <= iconst_1 && 2 <= i12 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i7 && 0 <= o25
random_ConstantStackPush_162(iconst_1, o25, a6, i7, i12, env, static) -{1,1}> random_IntArithmetic_171(iconst_1, o25, a6, i7, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && 0 <= o25
random_IntArithmetic_171(iconst_1, o25, a6, i7, i12, env, static) -{1,1}> random_FieldAccess_177(iconst_2, o25, a6, i7, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && 0 <= o25 && iconst_2 = 2
random_FieldAccess_177(iconst_2, o25, a6, i7, iconst_1, i12, env, static) -{1,1}> random_Load_199(o25, a6, i7, iconst_2, i12, env, static') :|: 2 <= i12 && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i7 && 0 <= o25 && iconst_2 = 2 && static' <= static + iconst_2
random_Load_199(o25, a6, i7, iconst_2, i12, env, static) -{1,1}> random_InvokeMethod_222(o25, a6, i7, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i7 && 0 <= o25 && iconst_2 = 2

obtained
random_InvokeMethod_222(o50, a6, i7, 2, i12, env, static) -{6,6}> gcd_Load_315(i7, i22', a6, 2, i12, env, static) :|: 0 <= i22' && 2 <= i12 && 0 <= i7 && 0 < o50 && 0 < a6 && 0 <= o50 && i22' <= o50
by chaining
random_InvokeMethod_222(o50, a6, i7, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_246(o50, a6, i7, iconst_2, i12, env, static) :|: 0 < o50 && 2 <= i12 && 0 <= o50 && 0 < a6 && 0 <= i7 && iconst_2 = 2
random_InvokeMethod_246(o50, a6, i7, iconst_2, i12, env, static) -{1,1}> random_Return_263(i22, a6, i7, iconst_2, i12, env, static) :|: 0 < o50 && 2 <= i12 && 0 <= i22 && 0 < a6 && 0 <= i7 && i22 <= o50 && iconst_2 = 2
random_Return_263(i22, a6, i7, iconst_2, i12, env, static) -{1,1}> main_Store_278(a6, i22, i7, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i22 && 0 < a6 && 0 <= i7 && iconst_2 = 2
main_Store_278(a6, i22, i7, iconst_2, i12, env, static) -{1,1}> main_Load_291(a6, i7, i22, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i22 && 0 < a6 && 0 <= i7 && iconst_2 = 2
main_Load_291(a6, i7, i22, iconst_2, i12, env, static) -{1,1}> main_Load_307(a6, i7, i22, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i22 && 0 < a6 && 0 <= i7 && iconst_2 = 2
main_Load_307(a6, i7, i22, iconst_2, i12, env, static) -{1,1}> main_InvokeMethod_312(a6, i7, i22, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i22 && 0 < a6 && 0 <= i7 && iconst_2 = 2
main_InvokeMethod_312(a6, i7, i22, iconst_2, i12, env, static) -{1,1}> gcd_Load_315(i7, i22, a6, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i22 && 0 < a6 && 0 <= i7 && iconst_2 = 2

obtained
gcd_LE_321(i23, i7, a6, 2, i12, env, static) -{2,2}> gcd_LE_335(i7, i23, a6, 2, i12, env, static) :|: 1 <= i23 && 2 <= i12 && 0 <= i7 && 0 < a6 && 0 < i23 && 0 <= i23
by chaining
gcd_LE_321(i23, i7, a6, iconst_2, i12, env, static) -{0,0}> gcd_LE_326(i23, i7, a6, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i23 && 0 < a6 && 0 <= i7 && iconst_2 = 2 && 0 <= i23
gcd_LE_326(i23, i7, a6, iconst_2, i12, env, static) -{1,1}> gcd_Load_330(i7, i23, a6, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i23 && 0 < a6 && 0 < i23 && 0 <= i7 && iconst_2 = 2
gcd_Load_330(i7, i23, a6, iconst_2, i12, env, static) -{1,1}> gcd_LE_335(i7, i23, a6, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i23 && 0 < a6 && 0 <= i7 && iconst_2 = 2

obtained
gcd_LE_335(i24, i23, a6, 2, i12, env, static) -{12,12}> mod_Load_416(i24, i23, a6, 2, i12, env, static) :|: 1 <= i24 && 1 <= i23 && 0 < a6 && 2 <= i12 && 0 < i24 && 0 < i23 && 0 <= i24 && 0 <= i23
by chaining
gcd_LE_335(i24, i23, a6, iconst_2, i12, env, static) -{0,0}> gcd_LE_340(i24, i23, a6, iconst_2, i12, env, static) :|: 0 <= i24 && 2 <= i12 && 1 <= i24 && 1 <= i23 && 0 < a6 && iconst_2 = 2
gcd_LE_340(i24, i23, a6, iconst_2, i12, env, static) -{1,1}> gcd_Load_344(i24, i23, a6, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < i24 && 0 < a6 && iconst_2 = 2
gcd_Load_344(i24, i23, a6, iconst_2, i12, env, static) -{1,1}> gcd_Store_349(i23, i24, a6, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2
gcd_Store_349(i23, i24, a6, iconst_2, i12, env, static) -{1,1}> gcd_Load_353(i24, i23, a6, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2
gcd_Load_353(i24, i23, a6, iconst_2, i12, env, static) -{1,1}> gcd_Load_357(i24, i23, a6, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2
gcd_Load_357(i24, i23, a6, iconst_2, i12, env, static) -{1,1}> gcd_InvokeMethod_361(i24, i23, a6, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2
gcd_InvokeMethod_361(i24, i23, a6, iconst_2, i12, env, static) -{1,1}> mod_Load_364(i24, i23, a6, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2
mod_Load_364(i24, i23, a6, iconst_2, i12, env, static) -{1,1}> mod_NE_369(i23, i24, a6, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2
mod_NE_369(i23, i24, a6, iconst_2, i12, env, static) -{1,1}> mod_Load_372(i24, i23, a6, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && 0 < i23 && iconst_2 = 2
mod_Load_372(i24, i23, a6, iconst_2, i12, env, static) -{1,1}> mod_GE_374(i23, i24, a6, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2
mod_GE_374(i23, i24, a6, iconst_2, i12, env, static) -{1,1}> mod_Load_376(i24, i23, a6, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2 && 0 <= i23
mod_Load_376(i24, i23, a6, iconst_2, i12, env, static) -{1,1}> mod_LE_378(i24, i23, a6, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2
mod_LE_378(i24, i23, a6, iconst_2, i12, env, static) -{1,1}> mod_Load_380(i24, i23, a6, iconst_2, i12, env, static) :|: 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < i24 && 0 < a6 && iconst_2 = 2
mod_Load_380(i24, i23, a6, iconst_2, i12, env, static) -{0,0}> mod_Load_416(i24, i23, a6, iconst_2, i12, env, static) :|: 0 <= i24 && 1 <= i24 && 2 <= i12 && 1 <= i23 && 0 < a6 && iconst_2 = 2

obtained
mod_Load_416(i27, i23, a121, 2, i12, env, static) -{2,2}> mod_LT_418(i27, i23, a121, 2, i12, env, static) :|: 0 < a121 && 1 <= i23 && 2 <= i12 && 0 <= i27
by chaining
mod_Load_416(i27, i23, a121, iconst_2, i12, env, static) -{1,1}> mod_Load_417(i27, i23, a121, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i27 && 1 <= i23 && iconst_2 = 2 && 0 < a121
mod_Load_417(i27, i23, a121, iconst_2, i12, env, static) -{1,1}> mod_LT_418(i27, i23, a121, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i27 && 1 <= i23 && iconst_2 = 2 && 0 < a121

obtained
mod_LT_418(i27, i23, a121, 2, i12, env, static) -{6,6}> mod_Load_416(i29', i23, a121, 2, i12, env, static) :|: i23 <= i27 && 0 < a121 && i27 - i23 = i29' && 0 <= i29' && 1 <= i23 && 2 <= i12 && 1 <= i27 && 0 <= i27
by chaining
mod_LT_418(i27, i23, a121, iconst_2, i12, env, static) -{0,0}> mod_LT_420(i27, i23, a121, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i27 && 1 <= i23 && i23 <= i27 && iconst_2 = 2 && 0 < a121
mod_LT_420(i27, i23, a121, iconst_2, i12, env, static) -{1,1}> mod_Load_423(i27, i23, a121, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i27 && 1 <= i23 && 1 <= i27 && i23 <= i27 && iconst_2 = 2 && 0 < a121
mod_Load_423(i27, i23, a121, iconst_2, i12, env, static) -{1,1}> mod_Load_426(i27, i23, a121, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i23 && 1 <= i27 && iconst_2 = 2 && 0 < a121
mod_Load_426(i27, i23, a121, iconst_2, i12, env, static) -{1,1}> mod_IntArithmetic_428(i27, i23, a121, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i23 && 1 <= i27 && iconst_2 = 2 && 0 < a121
mod_IntArithmetic_428(i27, i23, a121, iconst_2, i12, env, static) -{1,1}> mod_Store_433(i29, i23, a121, iconst_2, i12, env, static) :|: 0 <= i29 && 2 <= i12 && 1 <= i23 && i27 - i23 = i29 && 1 <= i27 && iconst_2 = 2 && 0 < a121
mod_Store_433(i29, i23, a121, iconst_2, i12, env, static) -{1,1}> mod_JMP_436(i29, i23, a121, iconst_2, i12, env, static) :|: 0 <= i29 && 2 <= i12 && 1 <= i23 && iconst_2 = 2 && 0 < a121
mod_JMP_436(i29, i23, a121, iconst_2, i12, env, static) -{1,1}> mod_Load_439(i29, i23, a121, iconst_2, i12, env, static) :|: 0 <= i29 && 2 <= i12 && 1 <= i23 && iconst_2 = 2 && 0 < a121
mod_Load_439(i29, i23, a121, iconst_2, i12, env, static) -{0,0}> mod_Load_416(i29, i23, a121, iconst_2, i12, env, static) :|: 0 <= i29 && 2 <= i12 && 1 <= i23 && iconst_2 = 2 && 0 < a121

obtained
mod_LT_418(i27, i23, a121, 2, i12, env, static) -{7,7}> gcd_Load_315(i23, i27, a121, 2, i12, env, static) :|: 0 <= i27 && 0 <= i23 && 2 <= i12 && 0 < a121 && 1 <= i23 && i27 < i23
by chaining
mod_LT_418(i27, i23, a121, iconst_2, i12, env, static) -{0,0}> mod_LT_419(i27, i23, a121, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i27 && 1 <= i23 && iconst_2 = 2 && i27 < i23 && 0 < a121
mod_LT_419(i27, i23, a121, iconst_2, i12, env, static) -{1,1}> mod_Load_421(i27, i23, a121, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i27 && 1 <= i23 && iconst_2 = 2 && i27 < i23 && 0 < a121
mod_Load_421(i27, i23, a121, iconst_2, i12, env, static) -{1,1}> mod_Return_425(i27, i23, a121, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i27 && 1 <= i23 && iconst_2 = 2 && 0 < a121
mod_Return_425(i27, i23, a121, iconst_2, i12, env, static) -{1,1}> gcd_Store_427(i27, i23, a121, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i27 && 1 <= i23 && iconst_2 = 2 && 0 < a121
gcd_Store_427(i27, i23, a121, iconst_2, i12, env, static) -{1,1}> gcd_Load_429(i27, i23, a121, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i27 && 1 <= i23 && iconst_2 = 2 && 0 < a121
gcd_Load_429(i27, i23, a121, iconst_2, i12, env, static) -{1,1}> gcd_Store_434(i23, i27, a121, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i27 && 1 <= i23 && iconst_2 = 2 && 0 < a121
gcd_Store_434(i23, i27, a121, iconst_2, i12, env, static) -{1,1}> gcd_JMP_438(i23, i27, a121, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i27 && 1 <= i23 && iconst_2 = 2 && 0 < a121
gcd_JMP_438(i23, i27, a121, iconst_2, i12, env, static) -{1,1}> gcd_Load_445(i23, i27, a121, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i27 && 1 <= i23 && iconst_2 = 2 && 0 < a121
gcd_Load_445(i23, i27, a121, iconst_2, i12, env, static) -{0,0}> gcd_Load_315(i23, i27, a121, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i27 && 1 <= i23 && iconst_2 = 2 && 0 < a121 && 0 <= i23

(34) Obligation:

IntTrs with 17 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_2(o2, env, static) -{23,23}> random_ArrayAccess_75(o2, 0, i5', env, static'3) :|: static'3 <= static'2 + o2 && 0 <= i5' && static'2 <= static'1 + 0 && 0 < o2 && 0 <= 2 && i5' < o2 && 0 <= o2 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && -1 * static'3 <= 0 && 0 <= static && 0 < 1 && 0 < 2 && 0 <= 1 && 0 <= static'3
random_ArrayAccess_75(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_77(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_75(a6, 0, i6, env, static) -{7,7}> random_InvokeMethod_95(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1
random_InvokeMethod_95(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_98(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
random_InvokeMethod_95(o11, a6, 1, i6, env, static) -{6,6}> random_ArrayAccess_138(a6, 1, i7', i6, env, static) :|: 0 <= a6 && 0 <= i7' && i7' <= o11 && 0 < a6 && a6 <= static && 0 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 <= o11 && 0 < o11
random_ArrayAccess_138(a6, iconst_1, i7, iconst_1, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i7, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i7
random_ArrayAccess_138(a6, 1, i7, i12, env, static) -{7,7}> random_InvokeMethod_222(o25', a6, i7, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i7 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2
random_InvokeMethod_222(NULL, a6, i7, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_247(NULL, a6, i7, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i7 && iconst_2 = 2
random_InvokeMethod_222(o50, a6, i7, 2, i12, env, static) -{6,6}> gcd_Load_315(i7, i22', a6, 2, i12, env, static) :|: 0 <= i22' && 2 <= i12 && 0 <= i7 && 0 < o50 && 0 < a6 && 0 <= o50 && i22' <= o50
gcd_Load_315(i7, i22, a6, iconst_2, i12, env, static) -{1,1}> gcd_LE_321(i22, i7, a6, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i22 && 0 < a6 && 0 <= i7 && iconst_2 = 2
gcd_LE_321(iconst_0, i7, a6, iconst_2, i12, env, static) -{0,0}> gcd_LE_325(iconst_0, i7, a6, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && 0 <= i7 && iconst_2 = 2
gcd_LE_321(i23, i7, a6, 2, i12, env, static) -{2,2}> gcd_LE_335(i7, i23, a6, 2, i12, env, static) :|: 1 <= i23 && 2 <= i12 && 0 <= i7 && 0 < a6 && 0 < i23 && 0 <= i23
gcd_LE_335(iconst_0, i23, a6, iconst_2, i12, env, static) -{0,0}> gcd_LE_339(iconst_0, i23, a6, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && 1 <= i23 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2
gcd_LE_335(i24, i23, a6, 2, i12, env, static) -{12,12}> mod_Load_416(i24, i23, a6, 2, i12, env, static) :|: 1 <= i24 && 1 <= i23 && 0 < a6 && 2 <= i12 && 0 < i24 && 0 < i23 && 0 <= i24 && 0 <= i23
mod_Load_416(i27, i23, a121, 2, i12, env, static) -{2,2}> mod_LT_418(i27, i23, a121, 2, i12, env, static) :|: 0 < a121 && 1 <= i23 && 2 <= i12 && 0 <= i27
mod_LT_418(i27, i23, a121, 2, i12, env, static) -{6,6}> mod_Load_416(i29', i23, a121, 2, i12, env, static) :|: i23 <= i27 && 0 < a121 && i27 - i23 = i29' && 0 <= i29' && 1 <= i23 && 2 <= i12 && 1 <= i27 && 0 <= i27
mod_LT_418(i27, i23, a121, 2, i12, env, static) -{7,7}> gcd_Load_315(i23, i27, a121, 2, i12, env, static) :|: 0 <= i27 && 0 <= i23 && 2 <= i12 && 0 < a121 && 1 <= i23 && i27 < i23

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

Moved arithmethic from lhss to constraints.

gcd_LE_321(i23, i7, a6, 2, i12, env, static) -{2,2}> gcd_LE_335(i7, i23, a6, 2, i12, env, static) :|: 1 <= i23 && 2 <= i12 && 0 <= i7 && 0 < a6 && 0 < i23 && 0 <= i23
was transformed to
gcd_LE_321(i23, i7, a6, x, i12, env, static) -{2,2}> gcd_LE_335(i7, i23, a6, 2, i12, env, static) :|: 1 <= i23 && 2 <= i12 && 0 <= i7 && 0 < a6 && 0 < i23 && 0 <= i23 && x = 2

random_InvokeMethod_95(o11, a6, 1, i6, env, static) -{6,6}> random_ArrayAccess_138(a6, 1, i7', i6, env, static) :|: 0 <= a6 && 0 <= i7' && i7' <= o11 && 0 < a6 && a6 <= static && 0 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 <= o11 && 0 < o11
was transformed to
random_InvokeMethod_95(o11, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_138(a6, 1, i7', i6, env, static) :|: 0 <= a6 && 0 <= i7' && i7' <= o11 && 0 < a6 && a6 <= static && 0 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 <= o11 && 0 < o11 && x = 1

mod_Load_416(i27, i23, a121, 2, i12, env, static) -{2,2}> mod_LT_418(i27, i23, a121, 2, i12, env, static) :|: 0 < a121 && 1 <= i23 && 2 <= i12 && 0 <= i27
was transformed to
mod_Load_416(i27, i23, a121, x, i12, env, static) -{2,2}> mod_LT_418(i27, i23, a121, 2, i12, env, static) :|: 0 < a121 && 1 <= i23 && 2 <= i12 && 0 <= i27 && x = 2

random_ArrayAccess_138(a6, 1, i7, i12, env, static) -{7,7}> random_InvokeMethod_222(o25', a6, i7, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i7 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2
was transformed to
random_ArrayAccess_138(a6, x, i7, i12, env, static) -{7,7}> random_InvokeMethod_222(o25', a6, i7, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i7 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1

mod_LT_418(i27, i23, a121, 2, i12, env, static) -{7,7}> gcd_Load_315(i23, i27, a121, 2, i12, env, static) :|: 0 <= i27 && 0 <= i23 && 2 <= i12 && 0 < a121 && 1 <= i23 && i27 < i23
was transformed to
mod_LT_418(i27, i23, a121, x, i12, env, static) -{7,7}> gcd_Load_315(i23, i27, a121, 2, i12, env, static) :|: 0 <= i27 && 0 <= i23 && 2 <= i12 && 0 < a121 && 1 <= i23 && i27 < i23 && x = 2

random_InvokeMethod_222(o50, a6, i7, 2, i12, env, static) -{6,6}> gcd_Load_315(i7, i22', a6, 2, i12, env, static) :|: 0 <= i22' && 2 <= i12 && 0 <= i7 && 0 < o50 && 0 < a6 && 0 <= o50 && i22' <= o50
was transformed to
random_InvokeMethod_222(o50, a6, i7, x, i12, env, static) -{6,6}> gcd_Load_315(i7, i22', a6, 2, i12, env, static) :|: 0 <= i22' && 2 <= i12 && 0 <= i7 && 0 < o50 && 0 < a6 && 0 <= o50 && i22' <= o50 && x = 2

mod_LT_418(i27, i23, a121, 2, i12, env, static) -{6,6}> mod_Load_416(i29', i23, a121, 2, i12, env, static) :|: i23 <= i27 && 0 < a121 && i27 - i23 = i29' && 0 <= i29' && 1 <= i23 && 2 <= i12 && 1 <= i27 && 0 <= i27
was transformed to
mod_LT_418(i27, i23, a121, x, i12, env, static) -{6,6}> mod_Load_416(i29', i23, a121, 2, i12, env, static) :|: i23 <= i27 && 0 < a121 && i27 - i23 = i29' && 0 <= i29' && 1 <= i23 && 2 <= i12 && 1 <= i27 && 0 <= i27 && x = 2

gcd_LE_335(i24, i23, a6, 2, i12, env, static) -{12,12}> mod_Load_416(i24, i23, a6, 2, i12, env, static) :|: 1 <= i24 && 1 <= i23 && 0 < a6 && 2 <= i12 && 0 < i24 && 0 < i23 && 0 <= i24 && 0 <= i23
was transformed to
gcd_LE_335(i24, i23, a6, x, i12, env, static) -{12,12}> mod_Load_416(i24, i23, a6, 2, i12, env, static) :|: 1 <= i24 && 1 <= i23 && 0 < a6 && 2 <= i12 && 0 < i24 && 0 < i23 && 0 <= i24 && 0 <= i23 && x = 2

random_ArrayAccess_75(a6, 0, i6, env, static) -{7,7}> random_InvokeMethod_95(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1
was transformed to
random_ArrayAccess_75(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_95(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0

(36) Obligation:

IntTrs with 17 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
gcd_LE_321(i23, i7, a6, x, i12, env, static) -{2,2}> gcd_LE_335(i7, i23, a6, 2, i12, env, static) :|: 1 <= i23 && 2 <= i12 && 0 <= i7 && 0 < a6 && 0 < i23 && 0 <= i23 && x = 2
random_InvokeMethod_95(o11, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_138(a6, 1, i7', i6, env, static) :|: 0 <= a6 && 0 <= i7' && i7' <= o11 && 0 < a6 && a6 <= static && 0 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 <= o11 && 0 < o11 && x = 1
mod_Load_416(i27, i23, a121, x, i12, env, static) -{2,2}> mod_LT_418(i27, i23, a121, 2, i12, env, static) :|: 0 < a121 && 1 <= i23 && 2 <= i12 && 0 <= i27 && x = 2
random_ArrayAccess_138(a6, x, i7, i12, env, static) -{7,7}> random_InvokeMethod_222(o25', a6, i7, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i7 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
mod_LT_418(i27, i23, a121, x, i12, env, static) -{7,7}> gcd_Load_315(i23, i27, a121, 2, i12, env, static) :|: 0 <= i27 && 0 <= i23 && 2 <= i12 && 0 < a121 && 1 <= i23 && i27 < i23 && x = 2
random_InvokeMethod_222(NULL, a6, i7, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_247(NULL, a6, i7, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i7 && iconst_2 = 2
gcd_LE_321(iconst_0, i7, a6, iconst_2, i12, env, static) -{0,0}> gcd_LE_325(iconst_0, i7, a6, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && 0 <= i7 && iconst_2 = 2
main_Load_2(o2, env, static) -{23,23}> random_ArrayAccess_75(o2, 0, i5', env, static'3) :|: static'3 <= static'2 + o2 && 0 <= i5' && static'2 <= static'1 + 0 && 0 < o2 && 0 <= 2 && i5' < o2 && 0 <= o2 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && -1 * static'3 <= 0 && 0 <= static && 0 < 1 && 0 < 2 && 0 <= 1 && 0 <= static'3
gcd_Load_315(i7, i22, a6, iconst_2, i12, env, static) -{1,1}> gcd_LE_321(i22, i7, a6, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i22 && 0 < a6 && 0 <= i7 && iconst_2 = 2
random_InvokeMethod_222(o50, a6, i7, x, i12, env, static) -{6,6}> gcd_Load_315(i7, i22', a6, 2, i12, env, static) :|: 0 <= i22' && 2 <= i12 && 0 <= i7 && 0 < o50 && 0 < a6 && 0 <= o50 && i22' <= o50 && x = 2
random_ArrayAccess_138(a6, iconst_1, i7, iconst_1, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i7, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i7
mod_LT_418(i27, i23, a121, x, i12, env, static) -{6,6}> mod_Load_416(i29', i23, a121, 2, i12, env, static) :|: i23 <= i27 && 0 < a121 && i27 - i23 = i29' && 0 <= i29' && 1 <= i23 && 2 <= i12 && 1 <= i27 && 0 <= i27 && x = 2
gcd_LE_335(iconst_0, i23, a6, iconst_2, i12, env, static) -{0,0}> gcd_LE_339(iconst_0, i23, a6, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && 1 <= i23 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2
random_ArrayAccess_75(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_77(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6
gcd_LE_335(i24, i23, a6, x, i12, env, static) -{12,12}> mod_Load_416(i24, i23, a6, 2, i12, env, static) :|: 1 <= i24 && 1 <= i23 && 0 < a6 && 2 <= i12 && 0 < i24 && 0 < i23 && 0 <= i24 && 0 <= i23 && x = 2
random_InvokeMethod_95(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_98(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
random_ArrayAccess_75(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_95(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0

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

Linearized lhss.

random_ArrayAccess_138(a6, iconst_1, i7, iconst_1, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i7, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i7
was transformed to
random_ArrayAccess_138(a6, iconst_1, i7, x, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i7, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && x = iconst_1

random_ArrayAccess_75(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_77(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6
was transformed to
random_ArrayAccess_75(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_77(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0

(38) Obligation:

IntTrs with 17 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
mod_LT_418(i27, i23, a121, x, i12, env, static) -{6,6}> mod_Load_416(i29', i23, a121, 2, i12, env, static) :|: i23 <= i27 && 0 < a121 && i27 - i23 = i29' && 0 <= i29' && 1 <= i23 && 2 <= i12 && 1 <= i27 && 0 <= i27 && x = 2
mod_Load_416(i27, i23, a121, x, i12, env, static) -{2,2}> mod_LT_418(i27, i23, a121, 2, i12, env, static) :|: 0 < a121 && 1 <= i23 && 2 <= i12 && 0 <= i27 && x = 2
random_InvokeMethod_222(NULL, a6, i7, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_247(NULL, a6, i7, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i7 && iconst_2 = 2
gcd_LE_321(iconst_0, i7, a6, iconst_2, i12, env, static) -{0,0}> gcd_LE_325(iconst_0, i7, a6, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && 0 <= i7 && iconst_2 = 2
random_ArrayAccess_138(a6, x, i7, i12, env, static) -{7,7}> random_InvokeMethod_222(o25', a6, i7, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i7 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
random_InvokeMethod_222(o50, a6, i7, x, i12, env, static) -{6,6}> gcd_Load_315(i7, i22', a6, 2, i12, env, static) :|: 0 <= i22' && 2 <= i12 && 0 <= i7 && 0 < o50 && 0 < a6 && 0 <= o50 && i22' <= o50 && x = 2
main_Load_2(o2, env, static) -{23,23}> random_ArrayAccess_75(o2, 0, i5', env, static'3) :|: static'3 <= static'2 + o2 && 0 <= i5' && static'2 <= static'1 + 0 && 0 < o2 && 0 <= 2 && i5' < o2 && 0 <= o2 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && -1 * static'3 <= 0 && 0 <= static && 0 < 1 && 0 < 2 && 0 <= 1 && 0 <= static'3
gcd_Load_315(i7, i22, a6, iconst_2, i12, env, static) -{1,1}> gcd_LE_321(i22, i7, a6, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i22 && 0 < a6 && 0 <= i7 && iconst_2 = 2
random_ArrayAccess_138(a6, iconst_1, i7, x, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i7, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && x = iconst_1
random_ArrayAccess_75(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_77(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
gcd_LE_335(iconst_0, i23, a6, iconst_2, i12, env, static) -{0,0}> gcd_LE_339(iconst_0, i23, a6, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && 1 <= i23 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2
random_InvokeMethod_95(o11, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_138(a6, 1, i7', i6, env, static) :|: 0 <= a6 && 0 <= i7' && i7' <= o11 && 0 < a6 && a6 <= static && 0 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 <= o11 && 0 < o11 && x = 1
gcd_LE_321(i23, i7, a6, x, i12, env, static) -{2,2}> gcd_LE_335(i7, i23, a6, 2, i12, env, static) :|: 1 <= i23 && 2 <= i12 && 0 <= i7 && 0 < a6 && 0 < i23 && 0 <= i23 && x = 2
mod_LT_418(i27, i23, a121, x, i12, env, static) -{7,7}> gcd_Load_315(i23, i27, a121, 2, i12, env, static) :|: 0 <= i27 && 0 <= i23 && 2 <= i12 && 0 < a121 && 1 <= i23 && i27 < i23 && x = 2
random_ArrayAccess_75(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_95(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
gcd_LE_335(i24, i23, a6, x, i12, env, static) -{12,12}> mod_Load_416(i24, i23, a6, 2, i12, env, static) :|: 1 <= i24 && 1 <= i23 && 0 < a6 && 2 <= i12 && 0 < i24 && 0 < i23 && 0 <= i24 && 0 <= i23 && x = 2
random_InvokeMethod_95(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_98(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6

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

Moved arithmethic from constraints to rhss.

mod_LT_418(i27, i23, a121, x, i12, env, static) -{6,6}> mod_Load_416(i29', i23, a121, 2, i12, env, static) :|: i23 <= i27 && 0 < a121 && i27 - i23 = i29' && 0 <= i29' && 1 <= i23 && 2 <= i12 && 1 <= i27 && 0 <= i27 && x = 2
was transformed to
mod_LT_418(i27, i23, a121, x, i12, env, static) -{6,6}> mod_Load_416(i27 - i23, i23, a121, 2, i12, env, static) :|: i23 <= i27 && 0 < a121 && i27 - i23 = i29' && 0 <= i29' && 1 <= i23 && 2 <= i12 && 1 <= i27 && 0 <= i27 && x = 2

random_InvokeMethod_222(NULL, a6, i7, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_247(NULL, a6, i7, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i7 && iconst_2 = 2
was transformed to
random_InvokeMethod_222(NULL, a6, i7, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_247(0, a6, i7, 2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i7 && iconst_2 = 2

gcd_LE_321(iconst_0, i7, a6, iconst_2, i12, env, static) -{0,0}> gcd_LE_325(iconst_0, i7, a6, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && 0 <= i7 && iconst_2 = 2
was transformed to
gcd_LE_321(iconst_0, i7, a6, iconst_2, i12, env, static) -{0,0}> gcd_LE_325(0, i7, a6, 2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && 0 <= i7 && iconst_2 = 2

gcd_Load_315(i7, i22, a6, iconst_2, i12, env, static) -{1,1}> gcd_LE_321(i22, i7, a6, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i22 && 0 < a6 && 0 <= i7 && iconst_2 = 2
was transformed to
gcd_Load_315(i7, i22, a6, iconst_2, i12, env, static) -{1,1}> gcd_LE_321(i22, i7, a6, 2, i12, env, static) :|: 2 <= i12 && 0 <= i22 && 0 < a6 && 0 <= i7 && iconst_2 = 2

gcd_LE_335(iconst_0, i23, a6, iconst_2, i12, env, static) -{0,0}> gcd_LE_339(iconst_0, i23, a6, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && 1 <= i23 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2
was transformed to
gcd_LE_335(iconst_0, i23, a6, iconst_2, i12, env, static) -{0,0}> gcd_LE_339(0, i23, a6, 2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && 1 <= i23 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2

random_ArrayAccess_75(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_77(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
was transformed to
random_ArrayAccess_75(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_77(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0

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

random_ArrayAccess_138(a6, iconst_1, i7, x, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i7, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && x = iconst_1
was transformed to
random_ArrayAccess_138(a6, iconst_1, i7, x, env, static) -{0,0}> random_ArrayAccess_146(a6, 1, i7, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && x = iconst_1

(40) Obligation:

IntTrs with 17 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
mod_LT_418(i27, i23, a121, x, i12, env, static) -{6,6}> mod_Load_416(i27 - i23, i23, a121, 2, i12, env, static) :|: i23 <= i27 && 0 < a121 && i27 - i23 = i29' && 0 <= i29' && 1 <= i23 && 2 <= i12 && 1 <= i27 && 0 <= i27 && x = 2
mod_Load_416(i27, i23, a121, x, i12, env, static) -{2,2}> mod_LT_418(i27, i23, a121, 2, i12, env, static) :|: 0 < a121 && 1 <= i23 && 2 <= i12 && 0 <= i27 && x = 2
random_InvokeMethod_222(NULL, a6, i7, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_247(0, a6, i7, 2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i7 && iconst_2 = 2
random_ArrayAccess_138(a6, x, i7, i12, env, static) -{7,7}> random_InvokeMethod_222(o25', a6, i7, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i7 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
gcd_LE_321(iconst_0, i7, a6, iconst_2, i12, env, static) -{0,0}> gcd_LE_325(0, i7, a6, 2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && 0 <= i7 && iconst_2 = 2
main_Load_2(o2, env, static) -{23,23}> random_ArrayAccess_75(o2, 0, i5', env, static'3) :|: static'3 <= static'2 + o2 && 0 <= i5' && static'2 <= static'1 + 0 && 0 < o2 && 0 <= 2 && i5' < o2 && 0 <= o2 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && -1 * static'3 <= 0 && 0 <= static && 0 < 1 && 0 < 2 && 0 <= 1 && 0 <= static'3
random_InvokeMethod_222(o50, a6, i7, x, i12, env, static) -{6,6}> gcd_Load_315(i7, i22', a6, 2, i12, env, static) :|: 0 <= i22' && 2 <= i12 && 0 <= i7 && 0 < o50 && 0 < a6 && 0 <= o50 && i22' <= o50 && x = 2
gcd_Load_315(i7, i22, a6, iconst_2, i12, env, static) -{1,1}> gcd_LE_321(i22, i7, a6, 2, i12, env, static) :|: 2 <= i12 && 0 <= i22 && 0 < a6 && 0 <= i7 && iconst_2 = 2
random_InvokeMethod_95(o11, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_138(a6, 1, i7', i6, env, static) :|: 0 <= a6 && 0 <= i7' && i7' <= o11 && 0 < a6 && a6 <= static && 0 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 <= o11 && 0 < o11 && x = 1
gcd_LE_335(iconst_0, i23, a6, iconst_2, i12, env, static) -{0,0}> gcd_LE_339(0, i23, a6, 2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && 1 <= i23 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2
gcd_LE_321(i23, i7, a6, x, i12, env, static) -{2,2}> gcd_LE_335(i7, i23, a6, 2, i12, env, static) :|: 1 <= i23 && 2 <= i12 && 0 <= i7 && 0 < a6 && 0 < i23 && 0 <= i23 && x = 2
random_ArrayAccess_75(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_77(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
mod_LT_418(i27, i23, a121, x, i12, env, static) -{7,7}> gcd_Load_315(i23, i27, a121, 2, i12, env, static) :|: 0 <= i27 && 0 <= i23 && 2 <= i12 && 0 < a121 && 1 <= i23 && i27 < i23 && x = 2
random_ArrayAccess_75(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_95(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
gcd_LE_335(i24, i23, a6, x, i12, env, static) -{12,12}> mod_Load_416(i24, i23, a6, 2, i12, env, static) :|: 1 <= i24 && 1 <= i23 && 0 < a6 && 2 <= i12 && 0 < i24 && 0 < i23 && 0 <= i24 && 0 <= i23 && x = 2
random_InvokeMethod_95(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_98(0, a6, 1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
random_ArrayAccess_138(a6, iconst_1, i7, x, env, static) -{0,0}> random_ArrayAccess_146(a6, 1, i7, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && x = iconst_1

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

Simplified expressions.

random_InvokeMethod_222(o50, a6, i7, x, i12, env, static) -{6,6}> gcd_Load_315(i7, i22', a6, 2, i12, env, static) :|: 0 <= i22' && 2 <= i12 && 0 <= i7 && 0 < o50 && 0 < a6 && 0 <= o50 && i22' <= o50 && x = 2
was transformed to
random_InvokeMethod_222(o50, a6, i7, x, i12, env, static) -{6,6}> gcd_Load_315(i7, i22', a6, 2, i12, env, static) :|: 0 <= i22' && 2 <= i12 && 0 <= i7 && 0 < o50 && 0 < a6 && i22' <= o50 && x = 2

main_Load_2(o2, env, static) -{23,23}> random_ArrayAccess_75(o2, 0, i5', env, static'3) :|: static'3 <= static'2 + o2 && 0 <= i5' && static'2 <= static'1 + 0 && 0 < o2 && 0 <= 2 && i5' < o2 && 0 <= o2 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && -1 * static'3 <= 0 && 0 <= static && 0 < 1 && 0 < 2 && 0 <= 1 && 0 <= static'3
was transformed to
main_Load_2(o2, env, static) -{23,23}> random_ArrayAccess_75(o2, 0, i5', env, static'3) :|: static'3 <= static'2 + o2 && 0 <= i5' && static'2 <= static'1 && 0 < o2 && i5' < o2 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && -1 * static'3 <= 0 && 0 <= static && 0 <= static'3

random_InvokeMethod_95(o11, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_138(a6, 1, i7', i6, env, static) :|: 0 <= a6 && 0 <= i7' && i7' <= o11 && 0 < a6 && a6 <= static && 0 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 <= o11 && 0 < o11 && x = 1
was transformed to
random_InvokeMethod_95(o11, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_138(a6, 1, i7', i6, env, static) :|: 0 <= i7' && i7' <= o11 && 0 < a6 && a6 <= static && 0 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 < o11 && x = 1

gcd_LE_321(i23, i7, a6, x, i12, env, static) -{2,2}> gcd_LE_335(i7, i23, a6, 2, i12, env, static) :|: 1 <= i23 && 2 <= i12 && 0 <= i7 && 0 < a6 && 0 < i23 && 0 <= i23 && x = 2
was transformed to
gcd_LE_321(i23, i7, a6, x, i12, env, static) -{2,2}> gcd_LE_335(i7, i23, a6, 2, i12, env, static) :|: 1 <= i23 && 2 <= i12 && 0 <= i7 && 0 < a6 && 0 < i23 && x = 2

mod_LT_418(i27, i23, a121, x, i12, env, static) -{6,6}> mod_Load_416(i27 - i23, i23, a121, 2, i12, env, static) :|: i23 <= i27 && 0 < a121 && i27 - i23 = i29' && 0 <= i29' && 1 <= i23 && 2 <= i12 && 1 <= i27 && 0 <= i27 && x = 2
was transformed to
mod_LT_418(i27, i23, a121, x, i12, env, static) -{6,6}> mod_Load_416(i27 + -1 * i23, i23, a121, 2, i12, env, static) :|: i23 <= i27 && 0 < a121 && i27 + -1 * i23 = i29' && 0 <= i29' && 1 <= i23 && 2 <= i12 && 1 <= i27 && 0 <= i27 && x = 2

gcd_LE_335(i24, i23, a6, x, i12, env, static) -{12,12}> mod_Load_416(i24, i23, a6, 2, i12, env, static) :|: 1 <= i24 && 1 <= i23 && 0 < a6 && 2 <= i12 && 0 < i24 && 0 < i23 && 0 <= i24 && 0 <= i23 && x = 2
was transformed to
gcd_LE_335(i24, i23, a6, x, i12, env, static) -{12,12}> mod_Load_416(i24, i23, a6, 2, i12, env, static) :|: 1 <= i24 && 1 <= i23 && 0 < a6 && 2 <= i12 && 0 < i24 && 0 < i23 && x = 2

(42) Obligation:

IntTrs with 17 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
random_InvokeMethod_222(o50, a6, i7, x, i12, env, static) -{6,6}> gcd_Load_315(i7, i22', a6, 2, i12, env, static) :|: 0 <= i22' && 2 <= i12 && 0 <= i7 && 0 < o50 && 0 < a6 && i22' <= o50 && x = 2
random_InvokeMethod_95(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_98(0, a6, 1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
main_Load_2(o2, env, static) -{23,23}> random_ArrayAccess_75(o2, 0, i5', env, static'3) :|: static'3 <= static'2 + o2 && 0 <= i5' && static'2 <= static'1 && 0 < o2 && i5' < o2 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && -1 * static'3 <= 0 && 0 <= static && 0 <= static'3
mod_Load_416(i27, i23, a121, x, i12, env, static) -{2,2}> mod_LT_418(i27, i23, a121, 2, i12, env, static) :|: 0 < a121 && 1 <= i23 && 2 <= i12 && 0 <= i27 && x = 2
random_ArrayAccess_138(a6, x, i7, i12, env, static) -{7,7}> random_InvokeMethod_222(o25', a6, i7, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i7 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
gcd_LE_335(iconst_0, i23, a6, iconst_2, i12, env, static) -{0,0}> gcd_LE_339(0, i23, a6, 2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && 1 <= i23 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2
mod_LT_418(i27, i23, a121, x, i12, env, static) -{6,6}> mod_Load_416(i27 + -1 * i23, i23, a121, 2, i12, env, static) :|: i23 <= i27 && 0 < a121 && i27 + -1 * i23 = i29' && 0 <= i29' && 1 <= i23 && 2 <= i12 && 1 <= i27 && 0 <= i27 && x = 2
random_ArrayAccess_75(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_77(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
random_InvokeMethod_95(o11, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_138(a6, 1, i7', i6, env, static) :|: 0 <= i7' && i7' <= o11 && 0 < a6 && a6 <= static && 0 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 < o11 && x = 1
mod_LT_418(i27, i23, a121, x, i12, env, static) -{7,7}> gcd_Load_315(i23, i27, a121, 2, i12, env, static) :|: 0 <= i27 && 0 <= i23 && 2 <= i12 && 0 < a121 && 1 <= i23 && i27 < i23 && x = 2
gcd_Load_315(i7, i22, a6, iconst_2, i12, env, static) -{1,1}> gcd_LE_321(i22, i7, a6, 2, i12, env, static) :|: 2 <= i12 && 0 <= i22 && 0 < a6 && 0 <= i7 && iconst_2 = 2
gcd_LE_321(iconst_0, i7, a6, iconst_2, i12, env, static) -{0,0}> gcd_LE_325(0, i7, a6, 2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && 0 <= i7 && iconst_2 = 2
random_InvokeMethod_222(NULL, a6, i7, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_247(0, a6, i7, 2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i7 && iconst_2 = 2
gcd_LE_335(i24, i23, a6, x, i12, env, static) -{12,12}> mod_Load_416(i24, i23, a6, 2, i12, env, static) :|: 1 <= i24 && 1 <= i23 && 0 < a6 && 2 <= i12 && 0 < i24 && 0 < i23 && x = 2
random_ArrayAccess_75(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_95(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
gcd_LE_321(i23, i7, a6, x, i12, env, static) -{2,2}> gcd_LE_335(i7, i23, a6, 2, i12, env, static) :|: 1 <= i23 && 2 <= i12 && 0 <= i7 && 0 < a6 && 0 < i23 && x = 2
random_ArrayAccess_138(a6, iconst_1, i7, x, env, static) -{0,0}> random_ArrayAccess_146(a6, 1, i7, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && x = iconst_1