time complexity proof of /tmp/tmpr3fhvv/DivMinus.jar

The time complexity of the given JBC problem could be proven to be BOUNDS(CONSTANT, 147 + 14 * |args|).

0 JBC problem

↳1 JBCToGraph (BOTH CONCRETE BOUNDS(ID, ID), 450 ms)

↳2 JBCTerminationGraph

↳3 TerminationGraphToComplexityProof (BOTH CONCRETE BOUNDS(ID, ADD(96)), 15 ms)

↳4 JBCComplexityEdges

    ↳5 JBCGraphEdgesToCpxIntTrsProof (CONCRETE UPPER BOUND(ID), 144 ms)

    ↳6 WeightedIntTrs

        ↳7 StraightLineCodeCompressionProof (BOTH CONCRETE BOUNDS(ID, ID), 22 ms)

        ↳8 WeightedIntTrs

        ↳9 MovedArithmeticToConstraintsProof (BOTH CONCRETE BOUNDS(ID, ID), 0 ms)

        ↳10 WeightedIntTrs

        ↳11 LinearizedLhssProof (BOTH CONCRETE BOUNDS(ID, ID), 0 ms)

        ↳12 WeightedIntTrs

        ↳13 MovedArithmeticFromConstraintsProof (BOTH CONCRETE BOUNDS(ID, ID), 0 ms)

        ↳14 WeightedIntTrs

        ↳15 ExpressionSimplificationProof (BOTH CONCRETE BOUNDS(ID, ID), 0 ms)

        ↳16 WeightedIntTrs

    ↳17 JBCGraphEdgesToCpxIntTrsProof (CONCRETE UPPER BOUND(ID), 114 ms)

    ↳18 WeightedIntTrs

        ↳19 StraightLineCodeCompressionProof (BOTH CONCRETE BOUNDS(ID, ID), 70 ms)

        ↳20 WeightedIntTrs

        ↳21 MovedArithmeticToConstraintsProof (BOTH CONCRETE BOUNDS(ID, ID), 0 ms)

        ↳22 WeightedIntTrs

        ↳23 LinearizedLhssProof (BOTH CONCRETE BOUNDS(ID, ID), 0 ms)

        ↳24 WeightedIntTrs

        ↳25 MovedArithmeticFromConstraintsProof (BOTH CONCRETE BOUNDS(ID, ID), 0 ms)

        ↳26 WeightedIntTrs

        ↳27 ExpressionSimplificationProof (BOTH CONCRETE BOUNDS(ID, ID), 25 ms)

        ↳28 WeightedIntTrs

↳29 TerminationGraphToComplexityProof (BOTH CONCRETE BOUNDS(ID, ADD(96)), 3 ms)

↳30 JBCComplexityEdges

    ↳31 JBCGraphEdgesToCpxIntTrsProof (CONCRETE UPPER BOUND(ID), 179 ms)

    ↳32 WeightedIntTrs

    ↳33 StraightLineCodeCompressionProof (BOTH CONCRETE BOUNDS(ID, ID), 113 ms)

    ↳34 WeightedIntTrs

    ↳35 WeightedIntTrsUnneededArgumentFilterProof (CONCRETE UPPER BOUND(ID), 33 ms)

    ↳36 WeightedIntTrs

    ↳37 MovedArithmeticFromConstraintsProof (BOTH CONCRETE BOUNDS(ID, ID), 0 ms)

    ↳38 WeightedIntTrs

    ↳39 ExpressionSimplificationProof (BOTH CONCRETE BOUNDS(ID, ID), 0 ms)

    ↳40 WeightedIntTrs

    ↳41 koat Proof (⇔, 142 ms)

    ↳42 BOUNDS(CONSTANT, 51 + 14 * |args|)

(0) Obligation:

Need to prove time_complexity of the following program:

public class DivMinus {
  public static int div(int x, int y) {
    int res = 0;
    while (x >= y && y > 0) {
      x = x-y;
      res = res + 1;
    }
    return res;
  }

  public static void main(String[] args) {
    Random.args = args;
    int x = Random.random();
    int y = Random.random();
    div(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:
DivMinus.main([Ljava/lang/String;)V: Graph of 190 nodes with 1 SCC.

(3) TerminationGraphToComplexityProof (BOTH CONCRETE BOUNDS(ID, ADD(96)) transformation)

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

(4) Obligation:

Set of 92 edges based on JBC Program.
Performed SCC analyses:

Used field analysis yielded the following read fields:

Considered paths: nonterm paths and paths from start to sinks

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

Transformed 92 jbc graph edges to a weighted ITS with 92 rules.
Used simplified encoding of division and modulo.
Filtered conditions with variables that do not depend on the variables on the lhs or rhs without taking transitive dependencies into account.
Did no encode lower bounds for putfield and astore.

(6) Obligation:

IntTrs with 92 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_2(o1, env, static) -{0,0}> main_Load_4(o1, env, static) :|: 0 < o1
main_Load_4(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_5(o1, env, static) :|: 0 < o1
langle_clinit_rangle_ConstantStackPush_5(o1, env, static) -{1,1}> langle_clinit_rangle_ArrayCreate_12(iconst_0, o1, env, static) :|: iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ArrayCreate_12(iconst_0, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_14(a2, o1, iconst_0, env, static) :|: a2 = 2 && iconst_0 = 0 && 0 < a2 && 0 < o1
langle_clinit_rangle_FieldAccess_14(a2, o1, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_16(o1, env, static') :|: 0 <= a2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2 && 0 < o1
langle_clinit_rangle_New_16(o1, env, static) -{0,0}> langle_clinit_rangle_New_18(o1, env, static) :|: 0 < o1
langle_clinit_rangle_New_18(o1, env, static) -{0,0}> langle_clinit_rangle_New_19(o1, env, static) :|: 0 <= static && 0 < o1
langle_clinit_rangle_New_19(o1, env, static) -{1,1}> langle_clinit_rangle_Duplicate_20(o4, o1, env, static) :|: o4 = 1 && 0 < o4 && 0 < o1
langle_clinit_rangle_Duplicate_20(o4, o1, env, static) -{1,1}> langle_clinit_rangle_ConstantStackPush_22(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_ConstantStackPush_22(o4, o1, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_23(o4, NULL, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_clinit_rangle_InvokeMethod_23(o4, NULL, o1, env, static) -{1,1}> langle_init_rangle_Load_24(o4, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_init_rangle_Load_24(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_26(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_26(o4, o1, env, static) -{1,1}> langle_init_rangle_Load_28(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Load_28(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_30(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_30(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_32(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_32(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_34(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_34(o4, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_37(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_FieldAccess_37(o4, o1, env, static) -{1,1}> langle_clinit_rangle_Return_40(o1, env, static') :|: 0 <= o4 && 0 < o4 && 0 <= static && 0 < o1 && static' <= static + o4
langle_clinit_rangle_Return_40(o1, env, static) -{1,1}> main_Load_51(o1, env, static) :|: 0 < o1
main_Load_51(o1, env, static) -{0,0}> main_Load_54(o1, env, static) :|: 0 < o1
main_Load_54(o1, env, static) -{0,0}> main_Load_57(o1, env, static) :|: 0 <= static && 0 < o1
main_Load_57(o1, env, static) -{0,0}> main_Load_58(o1, env, static) :|: 0 < o1
main_Load_58(o1, env, static) -{0,0}> main_Load_59(o1, env, static) :|: 0 < o1
main_Load_59(o1, env, static) -{1,1}> main_FieldAccess_60(o1, env, static) :|: 0 < o1
main_FieldAccess_60(o1, env, static) -{0,0}> main_FieldAccess_62(o1, env, static) :|: 0 < o1
main_FieldAccess_62(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_64(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ConstantStackPush_64(o1, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_65(iconst_0, o1, NULL, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_FieldAccess_65(iconst_0, o1, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_66(o1, NULL, iconst_0, env, static') :|: NULL = 0 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0 && 0 < o1
langle_clinit_rangle_Return_66(o1, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_68(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
main_FieldAccess_68(o1, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_69(o1, iconst_0, env, static') :|: static' <= static + o1 && NULL = 0 && 0 <= o1 && iconst_0 = 0 && 0 <= static && 0 < o1
main_InvokeMethod_69(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_70(o1, iconst_0, env, static) :|: iconst_0 = 0 && 0 < o1
random_FieldAccess_70(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_71(o1, iconst_0, env, static) :|: 0 <= o1 && o1 <= static && iconst_0 = 0 && 0 <= static && 0 < o1
random_FieldAccess_71(o1, iconst_0, env, static) -{1,1}> random_ArrayAccess_72(o1, iconst_0, env, static) :|: -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static && 0 < o1
random_ArrayAccess_72(a6, iconst_0, env, static) -{0,0}> random_ArrayAccess_73(a6, iconst_0, i5, env, static) :|: i5 < a6 && iconst_0 = 0 && 0 < a6 && 0 <= i5
random_ArrayAccess_73(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_74(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_73(a6, iconst_0, i6, env, static) -{0,0}> random_ArrayAccess_75(a6, iconst_0, i6, env, static) :|: 0 <= i6 && 1 <= i6 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_75(a6, iconst_0, i6, env, static) -{1,1}> random_Store_79(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && o8 < a6 && iconst_0 = 0 && 0 < a6
random_Store_79(o8, a6, iconst_0, i6, env, static) -{1,1}> random_FieldAccess_81(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_0 = 0 && 0 < a6
random_FieldAccess_81(o8, a6, iconst_0, i6, env, static) -{1,1}> random_ConstantStackPush_86(iconst_0, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && 0 < a6 && iconst_0 <= static
random_ConstantStackPush_86(iconst_0, o8, a6, i6, env, static) -{1,1}> random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i6, env, static) -{1,1}> random_FieldAccess_91(iconst_1, o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_FieldAccess_91(iconst_1, o8, a6, iconst_0, i6, env, static) -{1,1}> random_Load_95(o8, a6, iconst_1, i6, env, static') :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 <= static && 0 < a6 && static' <= static + iconst_1
random_Load_95(o8, a6, iconst_1, i6, env, static) -{1,1}> random_InvokeMethod_101(o8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && 0 < a6
random_InvokeMethod_101(o12, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_103(o12, a6, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6
random_InvokeMethod_101(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_104(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
random_InvokeMethod_103(o12, a6, iconst_1, i6, env, static) -{1,1}> random_Return_108(i8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && i8 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_Return_108(i8, a6, iconst_1, i6, env, static) -{1,1}> main_Store_114(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_Store_114(a6, i8, iconst_1, i6, env, static) -{1,1}> main_InvokeMethod_119(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_InvokeMethod_119(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_122(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_FieldAccess_122(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_141(a6, i8, iconst_1, i6, env, static) :|: 0 <= a6 && 1 <= i6 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8
random_FieldAccess_141(a6, i8, iconst_1, i6, env, static) -{1,1}> random_ArrayAccess_143(a6, iconst_1, i8, i6, env, static) :|: -1 * static <= iconst_1 && 1 <= i6 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8
random_ArrayAccess_143(a6, iconst_1, i8, iconst_1, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_ArrayAccess_143(a6, iconst_1, i8, i12, env, static) -{0,0}> random_ArrayAccess_147(a6, iconst_1, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i12
random_ArrayAccess_147(a6, iconst_1, i8, i12, env, static) -{1,1}> random_Store_157(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && o25 < a6 && 0 < a6 && 0 <= i8 && 0 <= o25
random_Store_157(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_FieldAccess_162(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_FieldAccess_162(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_ConstantStackPush_178(iconst_1, o25, a6, i8, i12, env, static) :|: -1 * static <= iconst_1 && 2 <= i12 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8 && 0 <= o25
random_ConstantStackPush_178(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_IntArithmetic_187(iconst_1, o25, a6, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_IntArithmetic_187(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_FieldAccess_193(iconst_2, o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2
random_FieldAccess_193(iconst_2, o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_Load_203(o25, a6, i8, iconst_2, i12, env, static') :|: 2 <= i12 && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2 && static' <= static + iconst_2
random_Load_203(o25, a6, i8, iconst_2, i12, env, static) -{1,1}> random_InvokeMethod_226(o25, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2
random_InvokeMethod_226(o50, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_233(o50, a6, i8, iconst_2, i12, env, static) :|: 0 < o50 && 2 <= i12 && 0 <= o50 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_226(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_234(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_233(o50, a6, i8, iconst_2, i12, env, static) -{1,1}> random_Return_244(i20, a6, i8, iconst_2, i12, env, static) :|: 0 <= i20 && 0 < o50 && 2 <= i12 && 0 < a6 && 0 <= i8 && i20 <= o50 && iconst_2 = 2
random_Return_244(i20, a6, i8, iconst_2, i12, env, static) -{1,1}> main_Store_249(a6, i20, i8, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Store_249(a6, i20, i8, iconst_2, i12, env, static) -{1,1}> main_Load_253(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Load_253(a6, i8, i20, iconst_2, i12, env, static) -{1,1}> main_Load_257(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Load_257(a6, i8, i20, iconst_2, i12, env, static) -{1,1}> main_InvokeMethod_262(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_InvokeMethod_262(a6, i8, i20, iconst_2, i12, env, static) -{1,1}> div_ConstantStackPush_265(i8, i20, a6, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
div_ConstantStackPush_265(i8, i20, a6, iconst_2, i12, env, static) -{1,1}> div_Store_271(iconst_0, i8, i20, a6, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && 0 <= i8 && iconst_2 = 2
div_Store_271(iconst_0, i8, i20, a6, iconst_2, i12, env, static) -{1,1}> div_Load_275(i8, i20, iconst_0, a6, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && 0 <= i8 && iconst_2 = 2
div_Load_275(i8, i20, iconst_0, a6, iconst_2, i12, env, static) -{0,0}> div_Load_403(i8, i20, iconst_0, a6, iconst_2, i12, env, static) :|: 0 <= i20 && 0 <= iconst_0 && 2 <= i12 && iconst_0 <= 1 && iconst_0 = 0 && 0 < a6 && 0 <= i8 && iconst_2 = 2
div_Load_403(i30, i31, i32, a114, iconst_2, i12, env, static) -{0,0}> div_Load_462(i30, i31, i32, a114, iconst_2, i12, env, static) :|: i32 <= 2 && 0 < a114 && 0 <= i31 && 2 <= i12 && 0 <= i30 && 0 <= i32 && iconst_2 = 2 && i32 <= 1
div_Load_462(i45, i46, i47, a125, iconst_2, i12, env, static) -{0,0}> div_Load_540(i45, i46, i47, a125, iconst_2, i12, env, static) :|: 0 <= i45 && 2 <= i12 && 0 <= i46 && 0 <= i47 && 0 < a125 && iconst_2 = 2 && i47 <= 2
div_Load_540(i61, i62, i63, a135, iconst_2, i12, env, static) -{1,1}> div_Load_543(i61, i62, i63, a135, iconst_2, i12, env, static) :|: 0 <= i62 && 2 <= i12 && 0 < a135 && 0 <= i61 && iconst_2 = 2 && 0 <= i63
div_Load_543(i61, i62, i63, a135, iconst_2, i12, env, static) -{1,1}> div_LT_545(i61, i62, i63, a135, iconst_2, i12, env, static) :|: 0 <= i62 && 2 <= i12 && 0 < a135 && 0 <= i61 && iconst_2 = 2 && 0 <= i63
div_LT_545(i61, i62, i63, a135, iconst_2, i12, env, static) -{0,0}> div_LT_548(i61, i62, i63, a135, iconst_2, i12, env, static) :|: 0 <= i62 && 2 <= i12 && 0 < a135 && i61 < i62 && 0 <= i61 && iconst_2 = 2 && 0 <= i63
div_LT_545(i61, i62, i63, a135, iconst_2, i12, env, static) -{0,0}> div_LT_549(i61, i62, i63, a135, iconst_2, i12, env, static) :|: 0 <= i62 && 2 <= i12 && i62 <= i61 && 0 < a135 && 0 <= i61 && iconst_2 = 2 && 0 <= i63
div_LT_549(i61, i62, i63, a135, iconst_2, i12, env, static) -{1,1}> div_Load_554(i61, i62, i63, a135, iconst_2, i12, env, static) :|: 0 <= i62 && 2 <= i12 && i62 <= i61 && 0 < a135 && 0 <= i61 && iconst_2 = 2 && 0 <= i63
div_Load_554(i61, i62, i63, a135, iconst_2, i12, env, static) -{1,1}> div_LE_556(i62, i61, i63, a135, iconst_2, i12, env, static) :|: 0 <= i62 && 2 <= i12 && 0 < a135 && 0 <= i61 && iconst_2 = 2 && 0 <= i63
div_LE_556(iconst_0, i61, i63, a135, iconst_2, i12, env, static) -{0,0}> div_LE_559(iconst_0, i61, i63, a135, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && 0 < a135 && iconst_0 = 0 && 0 <= i61 && iconst_2 = 2 && 0 <= i63
div_LE_556(i70, i71, i63, a135, iconst_2, i12, env, static) -{0,0}> div_LE_560(i70, i71, i63, a135, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i70 && 0 < a135 && 0 <= i71 && iconst_2 = 2 && 1 <= i70 && 0 <= i63 && 1 <= i71
div_LE_560(i70, i71, i63, a135, iconst_2, i12, env, static) -{1,1}> div_Load_578(i71, i70, i63, a135, iconst_2, i12, env, static) :|: 0 < i70 && 2 <= i12 && 0 < a135 && 1 <= i70 && iconst_2 = 2 && 1 <= i71 && 0 <= i63
div_Load_578(i71, i70, i63, a135, iconst_2, i12, env, static) -{1,1}> div_Load_582(i71, i70, i63, a135, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a135 && 1 <= i70 && iconst_2 = 2 && 1 <= i71 && 0 <= i63
div_Load_582(i71, i70, i63, a135, iconst_2, i12, env, static) -{1,1}> div_IntArithmetic_584(i71, i70, i63, a135, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a135 && 1 <= i70 && iconst_2 = 2 && 1 <= i71 && 0 <= i63
div_IntArithmetic_584(i71, i70, i63, a135, iconst_2, i12, env, static) -{1,1}> div_Store_586(i73, i70, i63, a135, iconst_2, i12, env, static) :|: 2 <= i12 && i71 - i70 = i73 && 0 < a135 && 1 <= i70 && iconst_2 = 2 && 0 <= i73 && 1 <= i71 && 0 <= i63
div_Store_586(i73, i70, i63, a135, iconst_2, i12, env, static) -{1,1}> div_Load_588(i73, i70, i63, a135, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a135 && 1 <= i70 && iconst_2 = 2 && 0 <= i73 && 0 <= i63
div_Load_588(i73, i70, i63, a135, iconst_2, i12, env, static) -{1,1}> div_ConstantStackPush_589(i63, i73, i70, a135, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a135 && 1 <= i70 && iconst_2 = 2 && 0 <= i73 && 0 <= i63
div_ConstantStackPush_589(i63, i73, i70, a135, iconst_2, i12, env, static) -{1,1}> div_IntArithmetic_590(i63, iconst_1, i73, i70, a135, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a135 && iconst_1 = 1 && 1 <= i70 && iconst_2 = 2 && 0 <= i73 && 0 <= i63
div_IntArithmetic_590(i63, iconst_1, i73, i70, a135, iconst_2, i12, env, static) -{1,1}> div_Store_593(i74, i73, i70, a135, iconst_2, i12, env, static) :|: i63 + iconst_1 = i74 && 2 <= i12 && 1 <= i74 && 0 < a135 && iconst_1 = 1 && 1 <= i70 && iconst_2 = 2 && 0 <= i73 && 0 <= i63
div_Store_593(i74, i73, i70, a135, iconst_2, i12, env, static) -{1,1}> div_JMP_594(i73, i70, i74, a135, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i74 && 0 < a135 && 1 <= i70 && iconst_2 = 2 && 0 <= i73
div_JMP_594(i73, i70, i74, a135, iconst_2, i12, env, static) -{1,1}> div_Load_596(i73, i70, i74, a135, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i74 && 0 < a135 && 1 <= i70 && iconst_2 = 2 && 0 <= i73
div_Load_596(i73, i70, i74, a135, iconst_2, i12, env, static) -{0,0}> div_Load_540(i73, i70, i74, a135, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i70 && 1 <= i74 && 0 < a135 && 0 <= i74 && 1 <= i70 && iconst_2 = 2 && 0 <= i73

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

obtained
main_Load_2(o1, env, static) -{23,23}> random_ArrayAccess_73(o1, 0, i5', env, static'3) :|: static'1 <= static''' + 1 && 0 <= i5' && 0 <= 2 && 0 < o1 && 0 <= static'2 && i5' < o1 && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
by chaining
main_Load_2(o1, env, static) -{0,0}> main_Load_4(o1, env, static) :|: 0 < o1
main_Load_4(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_5(o1, env, static) :|: 0 < o1
langle_clinit_rangle_ConstantStackPush_5(o1, env, static) -{1,1}> langle_clinit_rangle_ArrayCreate_12(iconst_0, o1, env, static) :|: iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ArrayCreate_12(iconst_0, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_14(a2, o1, iconst_0, env, static) :|: a2 = 2 && iconst_0 = 0 && 0 < a2 && 0 < o1
langle_clinit_rangle_FieldAccess_14(a2, o1, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_16(o1, env, static') :|: 0 <= a2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2 && 0 < o1
langle_clinit_rangle_New_16(o1, env, static) -{0,0}> langle_clinit_rangle_New_18(o1, env, static) :|: 0 < o1
langle_clinit_rangle_New_18(o1, env, static) -{0,0}> langle_clinit_rangle_New_19(o1, env, static) :|: 0 <= static && 0 < o1
langle_clinit_rangle_New_19(o1, env, static) -{1,1}> langle_clinit_rangle_Duplicate_20(o4, o1, env, static) :|: o4 = 1 && 0 < o4 && 0 < o1
langle_clinit_rangle_Duplicate_20(o4, o1, env, static) -{1,1}> langle_clinit_rangle_ConstantStackPush_22(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_ConstantStackPush_22(o4, o1, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_23(o4, NULL, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_clinit_rangle_InvokeMethod_23(o4, NULL, o1, env, static) -{1,1}> langle_init_rangle_Load_24(o4, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_init_rangle_Load_24(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_26(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_26(o4, o1, env, static) -{1,1}> langle_init_rangle_Load_28(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Load_28(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_30(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_30(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_32(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_32(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_34(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_34(o4, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_37(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_FieldAccess_37(o4, o1, env, static) -{1,1}> langle_clinit_rangle_Return_40(o1, env, static') :|: 0 <= o4 && 0 < o4 && 0 <= static && 0 < o1 && static' <= static + o4
langle_clinit_rangle_Return_40(o1, env, static) -{1,1}> main_Load_51(o1, env, static) :|: 0 < o1
main_Load_51(o1, env, static) -{0,0}> main_Load_54(o1, env, static) :|: 0 < o1
main_Load_54(o1, env, static) -{0,0}> main_Load_57(o1, env, static) :|: 0 <= static && 0 < o1
main_Load_57(o1, env, static) -{0,0}> main_Load_58(o1, env, static) :|: 0 < o1
main_Load_58(o1, env, static) -{0,0}> main_Load_59(o1, env, static) :|: 0 < o1
main_Load_59(o1, env, static) -{1,1}> main_FieldAccess_60(o1, env, static) :|: 0 < o1
main_FieldAccess_60(o1, env, static) -{0,0}> main_FieldAccess_62(o1, env, static) :|: 0 < o1
main_FieldAccess_62(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_64(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ConstantStackPush_64(o1, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_65(iconst_0, o1, NULL, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_FieldAccess_65(iconst_0, o1, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_66(o1, NULL, iconst_0, env, static') :|: NULL = 0 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0 && 0 < o1
langle_clinit_rangle_Return_66(o1, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_68(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
main_FieldAccess_68(o1, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_69(o1, iconst_0, env, static') :|: static' <= static + o1 && NULL = 0 && 0 <= o1 && iconst_0 = 0 && 0 <= static && 0 < o1
main_InvokeMethod_69(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_70(o1, iconst_0, env, static) :|: iconst_0 = 0 && 0 < o1
random_FieldAccess_70(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_71(o1, iconst_0, env, static) :|: 0 <= o1 && o1 <= static && iconst_0 = 0 && 0 <= static && 0 < o1
random_FieldAccess_71(o1, iconst_0, env, static) -{1,1}> random_ArrayAccess_72(o1, iconst_0, env, static) :|: -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static && 0 < o1
random_ArrayAccess_72(a6, iconst_0, env, static) -{0,0}> random_ArrayAccess_73(a6, iconst_0, i5, env, static) :|: i5 < a6 && iconst_0 = 0 && 0 < a6 && 0 <= i5

obtained
random_ArrayAccess_73(a6, 0, i6, env, static) -{7,7}> random_InvokeMethod_101(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1
by chaining
random_ArrayAccess_73(a6, iconst_0, i6, env, static) -{0,0}> random_ArrayAccess_75(a6, iconst_0, i6, env, static) :|: 0 <= i6 && 1 <= i6 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_75(a6, iconst_0, i6, env, static) -{1,1}> random_Store_79(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && o8 < a6 && iconst_0 = 0 && 0 < a6
random_Store_79(o8, a6, iconst_0, i6, env, static) -{1,1}> random_FieldAccess_81(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_0 = 0 && 0 < a6
random_FieldAccess_81(o8, a6, iconst_0, i6, env, static) -{1,1}> random_ConstantStackPush_86(iconst_0, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && 0 < a6 && iconst_0 <= static
random_ConstantStackPush_86(iconst_0, o8, a6, i6, env, static) -{1,1}> random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i6, env, static) -{1,1}> random_FieldAccess_91(iconst_1, o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_FieldAccess_91(iconst_1, o8, a6, iconst_0, i6, env, static) -{1,1}> random_Load_95(o8, a6, iconst_1, i6, env, static') :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 <= static && 0 < a6 && static' <= static + iconst_1
random_Load_95(o8, a6, iconst_1, i6, env, static) -{1,1}> random_InvokeMethod_101(o8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && 0 < a6

obtained
random_InvokeMethod_101(o12, a6, 1, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o12 && 0 < a6 && a6 <= static && 0 <= static && 0 <= o12 && 1 <= static && -1 * static <= 1 && 1 <= i6 && 0 < o12
by chaining
random_InvokeMethod_101(o12, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_103(o12, a6, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6
random_InvokeMethod_103(o12, a6, iconst_1, i6, env, static) -{1,1}> random_Return_108(i8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && i8 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_Return_108(i8, a6, iconst_1, i6, env, static) -{1,1}> main_Store_114(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_Store_114(a6, i8, iconst_1, i6, env, static) -{1,1}> main_InvokeMethod_119(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_InvokeMethod_119(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_122(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_FieldAccess_122(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_141(a6, i8, iconst_1, i6, env, static) :|: 0 <= a6 && 1 <= i6 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8
random_FieldAccess_141(a6, i8, iconst_1, i6, env, static) -{1,1}> random_ArrayAccess_143(a6, iconst_1, i8, i6, env, static) :|: -1 * static <= iconst_1 && 1 <= i6 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8

obtained
random_ArrayAccess_143(a6, 1, i8, i12, env, static) -{7,7}> random_InvokeMethod_226(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2
by chaining
random_ArrayAccess_143(a6, iconst_1, i8, i12, env, static) -{0,0}> random_ArrayAccess_147(a6, iconst_1, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i12
random_ArrayAccess_147(a6, iconst_1, i8, i12, env, static) -{1,1}> random_Store_157(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && o25 < a6 && 0 < a6 && 0 <= i8 && 0 <= o25
random_Store_157(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_FieldAccess_162(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_FieldAccess_162(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_ConstantStackPush_178(iconst_1, o25, a6, i8, i12, env, static) :|: -1 * static <= iconst_1 && 2 <= i12 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8 && 0 <= o25
random_ConstantStackPush_178(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_IntArithmetic_187(iconst_1, o25, a6, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_IntArithmetic_187(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_FieldAccess_193(iconst_2, o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2
random_FieldAccess_193(iconst_2, o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_Load_203(o25, a6, i8, iconst_2, i12, env, static') :|: 2 <= i12 && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2 && static' <= static + iconst_2
random_Load_203(o25, a6, i8, iconst_2, i12, env, static) -{1,1}> random_InvokeMethod_226(o25, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2

obtained
random_InvokeMethod_226(o50, a6, i8, 2, i12, env, static) -{8,8}> div_Load_540(i8, i20', 0, a6, 2, i12, env, static) :|: i20' <= o50 && 0 <= 2 && 0 <= o50 && 0 < a6 && 0 <= 0 && 0 < o50 && 0 <= i20' && 0 <= i8 && 2 <= i12 && 0 <= 1
by chaining
random_InvokeMethod_226(o50, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_233(o50, a6, i8, iconst_2, i12, env, static) :|: 0 < o50 && 2 <= i12 && 0 <= o50 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_233(o50, a6, i8, iconst_2, i12, env, static) -{1,1}> random_Return_244(i20, a6, i8, iconst_2, i12, env, static) :|: 0 <= i20 && 0 < o50 && 2 <= i12 && 0 < a6 && 0 <= i8 && i20 <= o50 && iconst_2 = 2
random_Return_244(i20, a6, i8, iconst_2, i12, env, static) -{1,1}> main_Store_249(a6, i20, i8, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Store_249(a6, i20, i8, iconst_2, i12, env, static) -{1,1}> main_Load_253(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Load_253(a6, i8, i20, iconst_2, i12, env, static) -{1,1}> main_Load_257(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Load_257(a6, i8, i20, iconst_2, i12, env, static) -{1,1}> main_InvokeMethod_262(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_InvokeMethod_262(a6, i8, i20, iconst_2, i12, env, static) -{1,1}> div_ConstantStackPush_265(i8, i20, a6, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
div_ConstantStackPush_265(i8, i20, a6, iconst_2, i12, env, static) -{1,1}> div_Store_271(iconst_0, i8, i20, a6, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && 0 <= i8 && iconst_2 = 2
div_Store_271(iconst_0, i8, i20, a6, iconst_2, i12, env, static) -{1,1}> div_Load_275(i8, i20, iconst_0, a6, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && 0 <= i8 && iconst_2 = 2
div_Load_275(i8, i20, iconst_0, a6, iconst_2, i12, env, static) -{0,0}> div_Load_403(i8, i20, iconst_0, a6, iconst_2, i12, env, static) :|: 0 <= i20 && 0 <= iconst_0 && 2 <= i12 && iconst_0 <= 1 && iconst_0 = 0 && 0 < a6 && 0 <= i8 && iconst_2 = 2
div_Load_403(i30, i31, i32, a114, iconst_2, i12, env, static) -{0,0}> div_Load_462(i30, i31, i32, a114, iconst_2, i12, env, static) :|: i32 <= 2 && 0 < a114 && 0 <= i31 && 2 <= i12 && 0 <= i30 && 0 <= i32 && iconst_2 = 2 && i32 <= 1
div_Load_462(i45, i46, i47, a125, iconst_2, i12, env, static) -{0,0}> div_Load_540(i45, i46, i47, a125, iconst_2, i12, env, static) :|: 0 <= i45 && 2 <= i12 && 0 <= i46 && 0 <= i47 && 0 < a125 && iconst_2 = 2 && i47 <= 2

obtained
div_Load_540(i61, i62, i63, a135, 2, i12, env, static) -{2,2}> div_LT_545(i61, i62, i63, a135, 2, i12, env, static) :|: 0 <= i63 && 0 <= i61 && 0 < a135 && 0 <= i62 && 2 <= i12
by chaining
div_Load_540(i61, i62, i63, a135, iconst_2, i12, env, static) -{1,1}> div_Load_543(i61, i62, i63, a135, iconst_2, i12, env, static) :|: 0 <= i62 && 2 <= i12 && 0 < a135 && 0 <= i61 && iconst_2 = 2 && 0 <= i63
div_Load_543(i61, i62, i63, a135, iconst_2, i12, env, static) -{1,1}> div_LT_545(i61, i62, i63, a135, iconst_2, i12, env, static) :|: 0 <= i62 && 2 <= i12 && 0 < a135 && 0 <= i61 && iconst_2 = 2 && 0 <= i63

obtained
div_LT_545(i61, i62, i63, a135, 2, i12, env, static) -{2,2}> div_LE_556(i62, i61, i63, a135, 2, i12, env, static) :|: 2 <= i12 && 0 <= i63 && 0 <= i62 && i62 <= i61 && 0 <= i61 && 0 < a135
by chaining
div_LT_545(i61, i62, i63, a135, iconst_2, i12, env, static) -{0,0}> div_LT_549(i61, i62, i63, a135, iconst_2, i12, env, static) :|: 0 <= i62 && 2 <= i12 && i62 <= i61 && 0 < a135 && 0 <= i61 && iconst_2 = 2 && 0 <= i63
div_LT_549(i61, i62, i63, a135, iconst_2, i12, env, static) -{1,1}> div_Load_554(i61, i62, i63, a135, iconst_2, i12, env, static) :|: 0 <= i62 && 2 <= i12 && i62 <= i61 && 0 < a135 && 0 <= i61 && iconst_2 = 2 && 0 <= i63
div_Load_554(i61, i62, i63, a135, iconst_2, i12, env, static) -{1,1}> div_LE_556(i62, i61, i63, a135, iconst_2, i12, env, static) :|: 0 <= i62 && 2 <= i12 && 0 < a135 && 0 <= i61 && iconst_2 = 2 && 0 <= i63

obtained
div_LE_556(i70, i71, i63, a135, 2, i12, env, static) -{10,10}> div_Load_540(i73', i70, i74', a135, 2, i12, env, static) :|: i71 - i70 = i73' && 0 <= i73' && i63 + 1 = i74' && 0 <= i71 && 1 <= i70 && 1 <= i74' && 0 <= i74' && 2 <= i12 && 0 < a135 && 0 < i70 && 0 <= i70 && 1 <= i71 && 0 <= i63
by chaining
div_LE_556(i70, i71, i63, a135, iconst_2, i12, env, static) -{0,0}> div_LE_560(i70, i71, i63, a135, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i70 && 0 < a135 && 0 <= i71 && iconst_2 = 2 && 1 <= i70 && 0 <= i63 && 1 <= i71
div_LE_560(i70, i71, i63, a135, iconst_2, i12, env, static) -{1,1}> div_Load_578(i71, i70, i63, a135, iconst_2, i12, env, static) :|: 0 < i70 && 2 <= i12 && 0 < a135 && 1 <= i70 && iconst_2 = 2 && 1 <= i71 && 0 <= i63
div_Load_578(i71, i70, i63, a135, iconst_2, i12, env, static) -{1,1}> div_Load_582(i71, i70, i63, a135, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a135 && 1 <= i70 && iconst_2 = 2 && 1 <= i71 && 0 <= i63
div_Load_582(i71, i70, i63, a135, iconst_2, i12, env, static) -{1,1}> div_IntArithmetic_584(i71, i70, i63, a135, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a135 && 1 <= i70 && iconst_2 = 2 && 1 <= i71 && 0 <= i63
div_IntArithmetic_584(i71, i70, i63, a135, iconst_2, i12, env, static) -{1,1}> div_Store_586(i73, i70, i63, a135, iconst_2, i12, env, static) :|: 2 <= i12 && i71 - i70 = i73 && 0 < a135 && 1 <= i70 && iconst_2 = 2 && 0 <= i73 && 1 <= i71 && 0 <= i63
div_Store_586(i73, i70, i63, a135, iconst_2, i12, env, static) -{1,1}> div_Load_588(i73, i70, i63, a135, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a135 && 1 <= i70 && iconst_2 = 2 && 0 <= i73 && 0 <= i63
div_Load_588(i73, i70, i63, a135, iconst_2, i12, env, static) -{1,1}> div_ConstantStackPush_589(i63, i73, i70, a135, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a135 && 1 <= i70 && iconst_2 = 2 && 0 <= i73 && 0 <= i63
div_ConstantStackPush_589(i63, i73, i70, a135, iconst_2, i12, env, static) -{1,1}> div_IntArithmetic_590(i63, iconst_1, i73, i70, a135, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a135 && iconst_1 = 1 && 1 <= i70 && iconst_2 = 2 && 0 <= i73 && 0 <= i63
div_IntArithmetic_590(i63, iconst_1, i73, i70, a135, iconst_2, i12, env, static) -{1,1}> div_Store_593(i74, i73, i70, a135, iconst_2, i12, env, static) :|: i63 + iconst_1 = i74 && 2 <= i12 && 1 <= i74 && 0 < a135 && iconst_1 = 1 && 1 <= i70 && iconst_2 = 2 && 0 <= i73 && 0 <= i63
div_Store_593(i74, i73, i70, a135, iconst_2, i12, env, static) -{1,1}> div_JMP_594(i73, i70, i74, a135, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i74 && 0 < a135 && 1 <= i70 && iconst_2 = 2 && 0 <= i73
div_JMP_594(i73, i70, i74, a135, iconst_2, i12, env, static) -{1,1}> div_Load_596(i73, i70, i74, a135, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i74 && 0 < a135 && 1 <= i70 && iconst_2 = 2 && 0 <= i73
div_Load_596(i73, i70, i74, a135, iconst_2, i12, env, static) -{0,0}> div_Load_540(i73, i70, i74, a135, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i70 && 1 <= i74 && 0 < a135 && 0 <= i74 && 1 <= i70 && iconst_2 = 2 && 0 <= i73

(8) Obligation:

IntTrs with 14 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_2(o1, env, static) -{23,23}> random_ArrayAccess_73(o1, 0, i5', env, static'3) :|: static'1 <= static''' + 1 && 0 <= i5' && 0 <= 2 && 0 < o1 && 0 <= static'2 && i5' < o1 && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
random_ArrayAccess_73(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_74(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_73(a6, 0, i6, env, static) -{7,7}> random_InvokeMethod_101(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_101(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_104(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
random_InvokeMethod_101(o12, a6, 1, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o12 && 0 < a6 && a6 <= static && 0 <= static && 0 <= o12 && 1 <= static && -1 * static <= 1 && 1 <= i6 && 0 < o12
random_ArrayAccess_143(a6, iconst_1, i8, iconst_1, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_ArrayAccess_143(a6, 1, i8, i12, env, static) -{7,7}> random_InvokeMethod_226(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2
random_InvokeMethod_226(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_234(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_226(o50, a6, i8, 2, i12, env, static) -{8,8}> div_Load_540(i8, i20', 0, a6, 2, i12, env, static) :|: i20' <= o50 && 0 <= 2 && 0 <= o50 && 0 < a6 && 0 <= 0 && 0 < o50 && 0 <= i20' && 0 <= i8 && 2 <= i12 && 0 <= 1
div_Load_540(i61, i62, i63, a135, 2, i12, env, static) -{2,2}> div_LT_545(i61, i62, i63, a135, 2, i12, env, static) :|: 0 <= i63 && 0 <= i61 && 0 < a135 && 0 <= i62 && 2 <= i12
div_LT_545(i61, i62, i63, a135, iconst_2, i12, env, static) -{0,0}> div_LT_548(i61, i62, i63, a135, iconst_2, i12, env, static) :|: 0 <= i62 && 2 <= i12 && 0 < a135 && i61 < i62 && 0 <= i61 && iconst_2 = 2 && 0 <= i63
div_LT_545(i61, i62, i63, a135, 2, i12, env, static) -{2,2}> div_LE_556(i62, i61, i63, a135, 2, i12, env, static) :|: 2 <= i12 && 0 <= i63 && 0 <= i62 && i62 <= i61 && 0 <= i61 && 0 < a135
div_LE_556(iconst_0, i61, i63, a135, iconst_2, i12, env, static) -{0,0}> div_LE_559(iconst_0, i61, i63, a135, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && 0 < a135 && iconst_0 = 0 && 0 <= i61 && iconst_2 = 2 && 0 <= i63
div_LE_556(i70, i71, i63, a135, 2, i12, env, static) -{10,10}> div_Load_540(i73', i70, i74', a135, 2, i12, env, static) :|: i71 - i70 = i73' && 0 <= i73' && i63 + 1 = i74' && 0 <= i71 && 1 <= i70 && 1 <= i74' && 0 <= i74' && 2 <= i12 && 0 < a135 && 0 < i70 && 0 <= i70 && 1 <= i71 && 0 <= i63

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

Moved arithmethic from lhss to constraints.

div_LT_545(i61, i62, i63, a135, 2, i12, env, static) -{2,2}> div_LE_556(i62, i61, i63, a135, 2, i12, env, static) :|: 2 <= i12 && 0 <= i63 && 0 <= i62 && i62 <= i61 && 0 <= i61 && 0 < a135
was transformed to
div_LT_545(i61, i62, i63, a135, x, i12, env, static) -{2,2}> div_LE_556(i62, i61, i63, a135, 2, i12, env, static) :|: 2 <= i12 && 0 <= i63 && 0 <= i62 && i62 <= i61 && 0 <= i61 && 0 < a135 && x = 2

random_ArrayAccess_73(a6, 0, i6, env, static) -{7,7}> random_InvokeMethod_101(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1
was transformed to
random_ArrayAccess_73(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_101(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0

random_InvokeMethod_226(o50, a6, i8, 2, i12, env, static) -{8,8}> div_Load_540(i8, i20', 0, a6, 2, i12, env, static) :|: i20' <= o50 && 0 <= 2 && 0 <= o50 && 0 < a6 && 0 <= 0 && 0 < o50 && 0 <= i20' && 0 <= i8 && 2 <= i12 && 0 <= 1
was transformed to
random_InvokeMethod_226(o50, a6, i8, x, i12, env, static) -{8,8}> div_Load_540(i8, i20', 0, a6, 2, i12, env, static) :|: i20' <= o50 && 0 <= 2 && 0 <= o50 && 0 < a6 && 0 <= 0 && 0 < o50 && 0 <= i20' && 0 <= i8 && 2 <= i12 && 0 <= 1 && x = 2

div_LE_556(i70, i71, i63, a135, 2, i12, env, static) -{10,10}> div_Load_540(i73', i70, i74', a135, 2, i12, env, static) :|: i71 - i70 = i73' && 0 <= i73' && i63 + 1 = i74' && 0 <= i71 && 1 <= i70 && 1 <= i74' && 0 <= i74' && 2 <= i12 && 0 < a135 && 0 < i70 && 0 <= i70 && 1 <= i71 && 0 <= i63
was transformed to
div_LE_556(i70, i71, i63, a135, x, i12, env, static) -{10,10}> div_Load_540(i73', i70, i74', a135, 2, i12, env, static) :|: i71 - i70 = i73' && 0 <= i73' && i63 + 1 = i74' && 0 <= i71 && 1 <= i70 && 1 <= i74' && 0 <= i74' && 2 <= i12 && 0 < a135 && 0 < i70 && 0 <= i70 && 1 <= i71 && 0 <= i63 && x = 2

div_Load_540(i61, i62, i63, a135, 2, i12, env, static) -{2,2}> div_LT_545(i61, i62, i63, a135, 2, i12, env, static) :|: 0 <= i63 && 0 <= i61 && 0 < a135 && 0 <= i62 && 2 <= i12
was transformed to
div_Load_540(i61, i62, i63, a135, x, i12, env, static) -{2,2}> div_LT_545(i61, i62, i63, a135, 2, i12, env, static) :|: 0 <= i63 && 0 <= i61 && 0 < a135 && 0 <= i62 && 2 <= i12 && x = 2

random_InvokeMethod_101(o12, a6, 1, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o12 && 0 < a6 && a6 <= static && 0 <= static && 0 <= o12 && 1 <= static && -1 * static <= 1 && 1 <= i6 && 0 < o12
was transformed to
random_InvokeMethod_101(o12, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o12 && 0 < a6 && a6 <= static && 0 <= static && 0 <= o12 && 1 <= static && -1 * static <= 1 && 1 <= i6 && 0 < o12 && x = 1

random_ArrayAccess_143(a6, 1, i8, i12, env, static) -{7,7}> random_InvokeMethod_226(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2
was transformed to
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_226(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1

(10) Obligation:

IntTrs with 14 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
random_ArrayAccess_73(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_74(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6
random_InvokeMethod_226(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_234(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ArrayAccess_143(a6, iconst_1, i8, iconst_1, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8
div_LT_545(i61, i62, i63, a135, x, i12, env, static) -{2,2}> div_LE_556(i62, i61, i63, a135, 2, i12, env, static) :|: 2 <= i12 && 0 <= i63 && 0 <= i62 && i62 <= i61 && 0 <= i61 && 0 < a135 && x = 2
random_ArrayAccess_73(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_101(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
random_InvokeMethod_101(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_104(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
random_InvokeMethod_226(o50, a6, i8, x, i12, env, static) -{8,8}> div_Load_540(i8, i20', 0, a6, 2, i12, env, static) :|: i20' <= o50 && 0 <= 2 && 0 <= o50 && 0 < a6 && 0 <= 0 && 0 < o50 && 0 <= i20' && 0 <= i8 && 2 <= i12 && 0 <= 1 && x = 2
div_LE_556(i70, i71, i63, a135, x, i12, env, static) -{10,10}> div_Load_540(i73', i70, i74', a135, 2, i12, env, static) :|: i71 - i70 = i73' && 0 <= i73' && i63 + 1 = i74' && 0 <= i71 && 1 <= i70 && 1 <= i74' && 0 <= i74' && 2 <= i12 && 0 < a135 && 0 < i70 && 0 <= i70 && 1 <= i71 && 0 <= i63 && x = 2
div_LT_545(i61, i62, i63, a135, iconst_2, i12, env, static) -{0,0}> div_LT_548(i61, i62, i63, a135, iconst_2, i12, env, static) :|: 0 <= i62 && 2 <= i12 && 0 < a135 && i61 < i62 && 0 <= i61 && iconst_2 = 2 && 0 <= i63
div_Load_540(i61, i62, i63, a135, x, i12, env, static) -{2,2}> div_LT_545(i61, i62, i63, a135, 2, i12, env, static) :|: 0 <= i63 && 0 <= i61 && 0 < a135 && 0 <= i62 && 2 <= i12 && x = 2
div_LE_556(iconst_0, i61, i63, a135, iconst_2, i12, env, static) -{0,0}> div_LE_559(iconst_0, i61, i63, a135, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && 0 < a135 && iconst_0 = 0 && 0 <= i61 && iconst_2 = 2 && 0 <= i63
random_InvokeMethod_101(o12, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o12 && 0 < a6 && a6 <= static && 0 <= static && 0 <= o12 && 1 <= static && -1 * static <= 1 && 1 <= i6 && 0 < o12 && x = 1
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_226(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
main_Load_2(o1, env, static) -{23,23}> random_ArrayAccess_73(o1, 0, i5', env, static'3) :|: static'1 <= static''' + 1 && 0 <= i5' && 0 <= 2 && 0 < o1 && 0 <= static'2 && i5' < o1 && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1

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

Linearized lhss.

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

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

(12) Obligation:

IntTrs with 14 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
random_InvokeMethod_226(o50, a6, i8, x, i12, env, static) -{8,8}> div_Load_540(i8, i20', 0, a6, 2, i12, env, static) :|: i20' <= o50 && 0 <= 2 && 0 <= o50 && 0 < a6 && 0 <= 0 && 0 < o50 && 0 <= i20' && 0 <= i8 && 2 <= i12 && 0 <= 1 && x = 2
random_ArrayAccess_73(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_74(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
random_ArrayAccess_73(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_101(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_226(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
random_ArrayAccess_143(a6, iconst_1, i8, x, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && x = iconst_1
random_InvokeMethod_226(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_234(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_101(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_104(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
div_Load_540(i61, i62, i63, a135, x, i12, env, static) -{2,2}> div_LT_545(i61, i62, i63, a135, 2, i12, env, static) :|: 0 <= i63 && 0 <= i61 && 0 < a135 && 0 <= i62 && 2 <= i12 && x = 2
div_LT_545(i61, i62, i63, a135, x, i12, env, static) -{2,2}> div_LE_556(i62, i61, i63, a135, 2, i12, env, static) :|: 2 <= i12 && 0 <= i63 && 0 <= i62 && i62 <= i61 && 0 <= i61 && 0 < a135 && x = 2
div_LT_545(i61, i62, i63, a135, iconst_2, i12, env, static) -{0,0}> div_LT_548(i61, i62, i63, a135, iconst_2, i12, env, static) :|: 0 <= i62 && 2 <= i12 && 0 < a135 && i61 < i62 && 0 <= i61 && iconst_2 = 2 && 0 <= i63
div_LE_556(iconst_0, i61, i63, a135, iconst_2, i12, env, static) -{0,0}> div_LE_559(iconst_0, i61, i63, a135, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && 0 < a135 && iconst_0 = 0 && 0 <= i61 && iconst_2 = 2 && 0 <= i63
div_LE_556(i70, i71, i63, a135, x, i12, env, static) -{10,10}> div_Load_540(i73', i70, i74', a135, 2, i12, env, static) :|: i71 - i70 = i73' && 0 <= i73' && i63 + 1 = i74' && 0 <= i71 && 1 <= i70 && 1 <= i74' && 0 <= i74' && 2 <= i12 && 0 < a135 && 0 < i70 && 0 <= i70 && 1 <= i71 && 0 <= i63 && x = 2
main_Load_2(o1, env, static) -{23,23}> random_ArrayAccess_73(o1, 0, i5', env, static'3) :|: static'1 <= static''' + 1 && 0 <= i5' && 0 <= 2 && 0 < o1 && 0 <= static'2 && i5' < o1 && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
random_InvokeMethod_101(o12, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o12 && 0 < a6 && a6 <= static && 0 <= static && 0 <= o12 && 1 <= static && -1 * static <= 1 && 1 <= i6 && 0 < o12 && x = 1

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

Moved arithmethic from constraints to rhss.

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

random_InvokeMethod_226(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_234(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
was transformed to
random_InvokeMethod_226(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_234(0, a6, i8, 2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2

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

random_InvokeMethod_101(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_104(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
was transformed to
random_InvokeMethod_101(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_104(0, a6, 1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6

div_LT_545(i61, i62, i63, a135, iconst_2, i12, env, static) -{0,0}> div_LT_548(i61, i62, i63, a135, iconst_2, i12, env, static) :|: 0 <= i62 && 2 <= i12 && 0 < a135 && i61 < i62 && 0 <= i61 && iconst_2 = 2 && 0 <= i63
was transformed to
div_LT_545(i61, i62, i63, a135, iconst_2, i12, env, static) -{0,0}> div_LT_548(i61, i62, i63, a135, 2, i12, env, static) :|: 0 <= i62 && 2 <= i12 && 0 < a135 && i61 < i62 && 0 <= i61 && iconst_2 = 2 && 0 <= i63

div_LE_556(iconst_0, i61, i63, a135, iconst_2, i12, env, static) -{0,0}> div_LE_559(iconst_0, i61, i63, a135, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && 0 < a135 && iconst_0 = 0 && 0 <= i61 && iconst_2 = 2 && 0 <= i63
was transformed to
div_LE_556(iconst_0, i61, i63, a135, iconst_2, i12, env, static) -{0,0}> div_LE_559(0, i61, i63, a135, 2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && 0 < a135 && iconst_0 = 0 && 0 <= i61 && iconst_2 = 2 && 0 <= i63

div_LE_556(i70, i71, i63, a135, x, i12, env, static) -{10,10}> div_Load_540(i73', i70, i74', a135, 2, i12, env, static) :|: i71 - i70 = i73' && 0 <= i73' && i63 + 1 = i74' && 0 <= i71 && 1 <= i70 && 1 <= i74' && 0 <= i74' && 2 <= i12 && 0 < a135 && 0 < i70 && 0 <= i70 && 1 <= i71 && 0 <= i63 && x = 2
was transformed to
div_LE_556(i70, i71, i63, a135, x, i12, env, static) -{10,10}> div_Load_540(i71 - i70, i70, i63 + 1, a135, 2, i12, env, static) :|: i71 - i70 = i73' && 0 <= i73' && i63 + 1 = i74' && 0 <= i71 && 1 <= i70 && 1 <= i74' && 0 <= i74' && 2 <= i12 && 0 < a135 && 0 < i70 && 0 <= i70 && 1 <= i71 && 0 <= i63 && x = 2

(14) Obligation:

IntTrs with 14 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
random_InvokeMethod_226(o50, a6, i8, x, i12, env, static) -{8,8}> div_Load_540(i8, i20', 0, a6, 2, i12, env, static) :|: i20' <= o50 && 0 <= 2 && 0 <= o50 && 0 < a6 && 0 <= 0 && 0 < o50 && 0 <= i20' && 0 <= i8 && 2 <= i12 && 0 <= 1 && x = 2
random_ArrayAccess_143(a6, iconst_1, i8, x, env, static) -{0,0}> random_ArrayAccess_146(a6, 1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && x = iconst_1
random_ArrayAccess_73(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_101(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
random_InvokeMethod_226(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_234(0, a6, i8, 2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_226(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
random_ArrayAccess_73(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_74(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
random_InvokeMethod_101(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_104(0, a6, 1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
div_Load_540(i61, i62, i63, a135, x, i12, env, static) -{2,2}> div_LT_545(i61, i62, i63, a135, 2, i12, env, static) :|: 0 <= i63 && 0 <= i61 && 0 < a135 && 0 <= i62 && 2 <= i12 && x = 2
div_LT_545(i61, i62, i63, a135, x, i12, env, static) -{2,2}> div_LE_556(i62, i61, i63, a135, 2, i12, env, static) :|: 2 <= i12 && 0 <= i63 && 0 <= i62 && i62 <= i61 && 0 <= i61 && 0 < a135 && x = 2
div_LT_545(i61, i62, i63, a135, iconst_2, i12, env, static) -{0,0}> div_LT_548(i61, i62, i63, a135, 2, i12, env, static) :|: 0 <= i62 && 2 <= i12 && 0 < a135 && i61 < i62 && 0 <= i61 && iconst_2 = 2 && 0 <= i63
div_LE_556(iconst_0, i61, i63, a135, iconst_2, i12, env, static) -{0,0}> div_LE_559(0, i61, i63, a135, 2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && 0 < a135 && iconst_0 = 0 && 0 <= i61 && iconst_2 = 2 && 0 <= i63
div_LE_556(i70, i71, i63, a135, x, i12, env, static) -{10,10}> div_Load_540(i71 - i70, i70, i63 + 1, a135, 2, i12, env, static) :|: i71 - i70 = i73' && 0 <= i73' && i63 + 1 = i74' && 0 <= i71 && 1 <= i70 && 1 <= i74' && 0 <= i74' && 2 <= i12 && 0 < a135 && 0 < i70 && 0 <= i70 && 1 <= i71 && 0 <= i63 && x = 2
main_Load_2(o1, env, static) -{23,23}> random_ArrayAccess_73(o1, 0, i5', env, static'3) :|: static'1 <= static''' + 1 && 0 <= i5' && 0 <= 2 && 0 < o1 && 0 <= static'2 && i5' < o1 && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
random_InvokeMethod_101(o12, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o12 && 0 < a6 && a6 <= static && 0 <= static && 0 <= o12 && 1 <= static && -1 * static <= 1 && 1 <= i6 && 0 < o12 && x = 1

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

Simplified expressions.

random_InvokeMethod_226(o50, a6, i8, x, i12, env, static) -{8,8}> div_Load_540(i8, i20', 0, a6, 2, i12, env, static) :|: i20' <= o50 && 0 <= 2 && 0 <= o50 && 0 < a6 && 0 <= 0 && 0 < o50 && 0 <= i20' && 0 <= i8 && 2 <= i12 && 0 <= 1 && x = 2
was transformed to
random_InvokeMethod_226(o50, a6, i8, x, i12, env, static) -{8,8}> div_Load_540(i8, i20', 0, a6, 2, i12, env, static) :|: i20' <= o50 && 0 < a6 && 0 < o50 && 0 <= i20' && 0 <= i8 && 2 <= i12 && x = 2

div_LE_556(i70, i71, i63, a135, x, i12, env, static) -{10,10}> div_Load_540(i71 - i70, i70, i63 + 1, a135, 2, i12, env, static) :|: i71 - i70 = i73' && 0 <= i73' && i63 + 1 = i74' && 0 <= i71 && 1 <= i70 && 1 <= i74' && 0 <= i74' && 2 <= i12 && 0 < a135 && 0 < i70 && 0 <= i70 && 1 <= i71 && 0 <= i63 && x = 2
was transformed to
div_LE_556(i70, i71, i63, a135, x, i12, env, static) -{10,10}> div_Load_540(i71 + -1 * i70, i70, i63 + 1, a135, 2, i12, env, static) :|: i71 + -1 * i70 = i73' && 0 <= i73' && i63 + 1 = i74' && 0 <= i71 && 1 <= i70 && 1 <= i74' && 0 <= i74' && 2 <= i12 && 0 < a135 && 0 < i70 && 1 <= i71 && 0 <= i63 && x = 2

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

random_InvokeMethod_101(o12, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o12 && 0 < a6 && a6 <= static && 0 <= static && 0 <= o12 && 1 <= static && -1 * static <= 1 && 1 <= i6 && 0 < o12 && x = 1
was transformed to
random_InvokeMethod_101(o12, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= i8' && i8' <= o12 && 0 < a6 && a6 <= static && 0 <= static && 1 <= static && -1 * static <= 1 && 1 <= i6 && 0 < o12 && x = 1

(16) Obligation:

IntTrs with 14 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
div_LE_556(i70, i71, i63, a135, x, i12, env, static) -{10,10}> div_Load_540(i71 + -1 * i70, i70, i63 + 1, a135, 2, i12, env, static) :|: i71 + -1 * i70 = i73' && 0 <= i73' && i63 + 1 = i74' && 0 <= i71 && 1 <= i70 && 1 <= i74' && 0 <= i74' && 2 <= i12 && 0 < a135 && 0 < i70 && 1 <= i71 && 0 <= i63 && x = 2
random_InvokeMethod_101(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_104(0, a6, 1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
div_LE_556(iconst_0, i61, i63, a135, iconst_2, i12, env, static) -{0,0}> div_LE_559(0, i61, i63, a135, 2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && 0 < a135 && iconst_0 = 0 && 0 <= i61 && iconst_2 = 2 && 0 <= i63
random_InvokeMethod_226(o50, a6, i8, x, i12, env, static) -{8,8}> div_Load_540(i8, i20', 0, a6, 2, i12, env, static) :|: i20' <= o50 && 0 < a6 && 0 < o50 && 0 <= i20' && 0 <= i8 && 2 <= i12 && x = 2
random_ArrayAccess_73(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_101(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_226(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
random_InvokeMethod_101(o12, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= i8' && i8' <= o12 && 0 < a6 && a6 <= static && 0 <= static && 1 <= static && -1 * static <= 1 && 1 <= i6 && 0 < o12 && x = 1
random_InvokeMethod_226(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_234(0, a6, i8, 2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ArrayAccess_73(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_74(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
div_Load_540(i61, i62, i63, a135, x, i12, env, static) -{2,2}> div_LT_545(i61, i62, i63, a135, 2, i12, env, static) :|: 0 <= i63 && 0 <= i61 && 0 < a135 && 0 <= i62 && 2 <= i12 && x = 2
div_LT_545(i61, i62, i63, a135, iconst_2, i12, env, static) -{0,0}> div_LT_548(i61, i62, i63, a135, 2, i12, env, static) :|: 0 <= i62 && 2 <= i12 && 0 < a135 && i61 < i62 && 0 <= i61 && iconst_2 = 2 && 0 <= i63
div_LT_545(i61, i62, i63, a135, x, i12, env, static) -{2,2}> div_LE_556(i62, i61, i63, a135, 2, i12, env, static) :|: 2 <= i12 && 0 <= i63 && 0 <= i62 && i62 <= i61 && 0 <= i61 && 0 < a135 && x = 2
random_ArrayAccess_143(a6, iconst_1, i8, x, env, static) -{0,0}> random_ArrayAccess_146(a6, 1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && x = iconst_1
main_Load_2(o1, env, static) -{23,23}> random_ArrayAccess_73(o1, 0, i5', env, static'3) :|: static'1 <= static''' + 1 && 0 <= i5' && 0 < o1 && 0 <= static'2 && i5' < o1 && static'2 <= static'1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 <= static'3

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

Transformed 92 jbc graph edges to a weighted ITS with 92 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.

(18) Obligation:

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

(20) Obligation:

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

Moved arithmethic from lhss to constraints.

(22) Obligation:

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

Linearized lhss.

(24) Obligation:

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

Moved arithmethic from constraints to rhss.

(26) Obligation:

IntTrs with 14 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
random_InvokeMethod_226(o50, a6, i8, x, i12, env, static) -{8,8}> div_Load_540(i8, i20', 0, a6, 2, i12, env, static) :|: i20' <= o50 && 0 <= 2 && 0 <= o50 && 0 < a6 && 0 <= 0 && 0 < o50 && 0 <= i20' && 0 <= i8 && 2 <= i12 && 0 <= 1 && x = 2
random_ArrayAccess_143(a6, iconst_1, i8, x, env, static) -{0,0}> random_ArrayAccess_146(a6, 1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && x = iconst_1
random_ArrayAccess_73(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_101(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
random_InvokeMethod_226(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_234(0, a6, i8, 2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_226(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
random_ArrayAccess_73(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_74(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
random_InvokeMethod_101(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_104(0, a6, 1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
div_Load_540(i61, i62, i63, a135, x, i12, env, static) -{2,2}> div_LT_545(i61, i62, i63, a135, 2, i12, env, static) :|: 0 <= i63 && 0 <= i61 && 0 < a135 && 0 <= i62 && 2 <= i12 && x = 2
div_LT_545(i61, i62, i63, a135, x, i12, env, static) -{2,2}> div_LE_556(i62, i61, i63, a135, 2, i12, env, static) :|: 2 <= i12 && 0 <= i63 && 0 <= i62 && i62 <= i61 && 0 <= i61 && 0 < a135 && x = 2
div_LT_545(i61, i62, i63, a135, iconst_2, i12, env, static) -{0,0}> div_LT_548(i61, i62, i63, a135, 2, i12, env, static) :|: 0 <= i62 && 2 <= i12 && 0 < a135 && i61 < i62 && 0 <= i61 && iconst_2 = 2 && 0 <= i63
div_LE_556(iconst_0, i61, i63, a135, iconst_2, i12, env, static) -{0,0}> div_LE_559(0, i61, i63, a135, 2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && 0 < a135 && iconst_0 = 0 && 0 <= i61 && iconst_2 = 2 && 0 <= i63
div_LE_556(i70, i71, i63, a135, x, i12, env, static) -{10,10}> div_Load_540(i71 - i70, i70, i63 + 1, a135, 2, i12, env, static) :|: i71 - i70 = i73' && 0 <= i73' && i63 + 1 = i74' && 0 <= i71 && 1 <= i70 && 1 <= i74' && 0 <= i74' && 2 <= i12 && 0 < a135 && 0 < i70 && 0 <= i70 && 1 <= i71 && 0 <= i63 && x = 2
main_Load_2(o1, env, static) -{23,23}> random_ArrayAccess_73(o1, 0, i5', env, static'3) :|: static'1 <= static''' + 1 && 0 <= i5' && 0 <= 2 && 0 < o1 && 0 <= static'2 && i5' < o1 && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
random_InvokeMethod_101(o12, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o12 && 0 < a6 && a6 <= static && 0 <= static && 0 <= o12 && 1 <= static && -1 * static <= 1 && 1 <= i6 && 0 < o12 && x = 1

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

Simplified expressions.

(28) Obligation:

(29) TerminationGraphToComplexityProof (BOTH CONCRETE BOUNDS(ID, ADD(96)) transformation)

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

(30) Obligation:

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

Used field analysis yielded the following read fields:

Considered paths: all paths from start

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

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

(32) Obligation:

IntTrs with 86 rules
Start term: main_Load_2(args, env, static)
Considered paths: all paths from start
Rules:
main_Load_2(o1, env, static) -{0,0}> main_Load_4(o1, env, static) :|: 0 < o1
main_Load_4(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_5(o1, env, static) :|: 0 < o1
langle_clinit_rangle_ConstantStackPush_5(o1, env, static) -{1,1}> langle_clinit_rangle_ArrayCreate_12(iconst_0, o1, env, static) :|: iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ArrayCreate_12(iconst_0, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_14(a2, o1, iconst_0, env, static) :|: a2 = 2 && iconst_0 = 0 && 0 < a2 && 0 < o1
langle_clinit_rangle_FieldAccess_14(a2, o1, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_16(o1, env, static') :|: 0 <= a2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2 && 0 < o1
langle_clinit_rangle_New_16(o1, env, static) -{0,0}> langle_clinit_rangle_New_18(o1, env, static) :|: 0 < o1
langle_clinit_rangle_New_18(o1, env, static) -{0,0}> langle_clinit_rangle_New_19(o1, env, static) :|: 0 <= static && 0 < o1
langle_clinit_rangle_New_19(o1, env, static) -{1,1}> langle_clinit_rangle_Duplicate_20(o4, o1, env, static) :|: o4 = 1 && 0 < o4 && 0 < o1
langle_clinit_rangle_Duplicate_20(o4, o1, env, static) -{1,1}> langle_clinit_rangle_ConstantStackPush_22(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_ConstantStackPush_22(o4, o1, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_23(o4, NULL, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_clinit_rangle_InvokeMethod_23(o4, NULL, o1, env, static) -{1,1}> langle_init_rangle_Load_24(o4, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_init_rangle_Load_24(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_26(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_26(o4, o1, env, static) -{1,1}> langle_init_rangle_Load_28(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Load_28(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_30(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_30(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_32(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_32(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_34(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_34(o4, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_37(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_FieldAccess_37(o4, o1, env, static) -{1,1}> langle_clinit_rangle_Return_40(o1, env, static') :|: 0 <= o4 && 0 < o4 && 0 <= static && 0 < o1 && static' <= static + o4
langle_clinit_rangle_Return_40(o1, env, static) -{1,1}> main_Load_51(o1, env, static) :|: 0 < o1
main_Load_51(o1, env, static) -{0,0}> main_Load_54(o1, env, static) :|: 0 < o1
main_Load_54(o1, env, static) -{0,0}> main_Load_57(o1, env, static) :|: 0 <= static && 0 < o1
main_Load_57(o1, env, static) -{0,0}> main_Load_58(o1, env, static) :|: 0 < o1
main_Load_58(o1, env, static) -{0,0}> main_Load_59(o1, env, static) :|: 0 < o1
main_Load_59(o1, env, static) -{1,1}> main_FieldAccess_60(o1, env, static) :|: 0 < o1
main_FieldAccess_60(o1, env, static) -{0,0}> main_FieldAccess_62(o1, env, static) :|: 0 < o1
main_FieldAccess_62(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_64(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ConstantStackPush_64(o1, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_65(iconst_0, o1, NULL, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_FieldAccess_65(iconst_0, o1, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_66(o1, NULL, iconst_0, env, static') :|: NULL = 0 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0 && 0 < o1
langle_clinit_rangle_Return_66(o1, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_68(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
main_FieldAccess_68(o1, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_69(o1, iconst_0, env, static') :|: static' <= static + o1 && NULL = 0 && 0 <= o1 && iconst_0 = 0 && 0 <= static && 0 < o1
main_InvokeMethod_69(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_70(o1, iconst_0, env, static) :|: iconst_0 = 0 && 0 < o1
random_FieldAccess_70(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_71(o1, iconst_0, env, static) :|: 0 <= o1 && o1 <= static && iconst_0 = 0 && 0 <= static && 0 < o1
random_FieldAccess_71(o1, iconst_0, env, static) -{1,1}> random_ArrayAccess_72(o1, iconst_0, env, static) :|: -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static && 0 < o1
random_ArrayAccess_72(a6, iconst_0, env, static) -{0,0}> random_ArrayAccess_73(a6, iconst_0, i5, env, static) :|: i5 < a6 && iconst_0 = 0 && 0 < a6 && 0 <= i5
random_ArrayAccess_73(a6, iconst_0, i6, env, static) -{0,0}> random_ArrayAccess_75(a6, iconst_0, i6, env, static) :|: 0 <= i6 && 1 <= i6 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_75(a6, iconst_0, i6, env, static) -{1,1}> random_Store_79(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && o8 < a6 && iconst_0 = 0 && 0 < a6
random_Store_79(o8, a6, iconst_0, i6, env, static) -{1,1}> random_FieldAccess_81(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_0 = 0 && 0 < a6
random_FieldAccess_81(o8, a6, iconst_0, i6, env, static) -{1,1}> random_ConstantStackPush_86(iconst_0, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && 0 < a6 && iconst_0 <= static
random_ConstantStackPush_86(iconst_0, o8, a6, i6, env, static) -{1,1}> random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i6, env, static) -{1,1}> random_FieldAccess_91(iconst_1, o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_FieldAccess_91(iconst_1, o8, a6, iconst_0, i6, env, static) -{1,1}> random_Load_95(o8, a6, iconst_1, i6, env, static') :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 <= static && 0 < a6 && static' <= static + iconst_1
random_Load_95(o8, a6, iconst_1, i6, env, static) -{1,1}> random_InvokeMethod_101(o8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && 0 < a6
random_InvokeMethod_101(o12, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_103(o12, a6, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6
random_InvokeMethod_103(o12, a6, iconst_1, i6, env, static) -{1,1}> random_Return_108(i8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && i8 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_Return_108(i8, a6, iconst_1, i6, env, static) -{1,1}> main_Store_114(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_Store_114(a6, i8, iconst_1, i6, env, static) -{1,1}> main_InvokeMethod_119(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_InvokeMethod_119(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_122(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_FieldAccess_122(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_141(a6, i8, iconst_1, i6, env, static) :|: 0 <= a6 && 1 <= i6 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8
random_FieldAccess_141(a6, i8, iconst_1, i6, env, static) -{1,1}> random_ArrayAccess_143(a6, iconst_1, i8, i6, env, static) :|: -1 * static <= iconst_1 && 1 <= i6 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8
random_ArrayAccess_143(a6, iconst_1, i8, i12, env, static) -{0,0}> random_ArrayAccess_147(a6, iconst_1, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i12
random_ArrayAccess_147(a6, iconst_1, i8, i12, env, static) -{1,1}> random_Store_157(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && o25 < a6 && 0 < a6 && 0 <= i8 && 0 <= o25
random_Store_157(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_FieldAccess_162(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_FieldAccess_162(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_ConstantStackPush_178(iconst_1, o25, a6, i8, i12, env, static) :|: -1 * static <= iconst_1 && 2 <= i12 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8 && 0 <= o25
random_ConstantStackPush_178(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_IntArithmetic_187(iconst_1, o25, a6, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_IntArithmetic_187(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_FieldAccess_193(iconst_2, o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2
random_FieldAccess_193(iconst_2, o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_Load_203(o25, a6, i8, iconst_2, i12, env, static') :|: 2 <= i12 && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2 && static' <= static + iconst_2
random_Load_203(o25, a6, i8, iconst_2, i12, env, static) -{1,1}> random_InvokeMethod_226(o25, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2
random_InvokeMethod_226(o50, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_233(o50, a6, i8, iconst_2, i12, env, static) :|: 0 < o50 && 2 <= i12 && 0 <= o50 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_233(o50, a6, i8, iconst_2, i12, env, static) -{1,1}> random_Return_244(i20, a6, i8, iconst_2, i12, env, static) :|: 0 <= i20 && 0 < o50 && 2 <= i12 && 0 < a6 && 0 <= i8 && i20 <= o50 && iconst_2 = 2
random_Return_244(i20, a6, i8, iconst_2, i12, env, static) -{1,1}> main_Store_249(a6, i20, i8, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Store_249(a6, i20, i8, iconst_2, i12, env, static) -{1,1}> main_Load_253(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Load_253(a6, i8, i20, iconst_2, i12, env, static) -{1,1}> main_Load_257(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Load_257(a6, i8, i20, iconst_2, i12, env, static) -{1,1}> main_InvokeMethod_262(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_InvokeMethod_262(a6, i8, i20, iconst_2, i12, env, static) -{1,1}> div_ConstantStackPush_265(i8, i20, a6, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
div_ConstantStackPush_265(i8, i20, a6, iconst_2, i12, env, static) -{1,1}> div_Store_271(iconst_0, i8, i20, a6, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && 0 <= i8 && iconst_2 = 2
div_Store_271(iconst_0, i8, i20, a6, iconst_2, i12, env, static) -{1,1}> div_Load_275(i8, i20, iconst_0, a6, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && 0 <= i8 && iconst_2 = 2
div_Load_275(i8, i20, iconst_0, a6, iconst_2, i12, env, static) -{0,0}> div_Load_403(i8, i20, iconst_0, a6, iconst_2, i12, env, static) :|: 0 <= i20 && 0 <= iconst_0 && 2 <= i12 && iconst_0 <= 1 && iconst_0 = 0 && 0 < a6 && 0 <= i8 && iconst_2 = 2
div_Load_403(i30, i31, i32, a114, iconst_2, i12, env, static) -{0,0}> div_Load_462(i30, i31, i32, a114, iconst_2, i12, env, static) :|: i32 <= 2 && 0 < a114 && 0 <= i31 && 2 <= i12 && 0 <= i30 && 0 <= i32 && iconst_2 = 2 && i32 <= 1
div_Load_462(i45, i46, i47, a125, iconst_2, i12, env, static) -{0,0}> div_Load_540(i45, i46, i47, a125, iconst_2, i12, env, static) :|: 0 <= i45 && 2 <= i12 && 0 <= i46 && 0 <= i47 && 0 < a125 && iconst_2 = 2 && i47 <= 2
div_Load_540(i61, i62, i63, a135, iconst_2, i12, env, static) -{1,1}> div_Load_543(i61, i62, i63, a135, iconst_2, i12, env, static) :|: 0 <= i62 && 2 <= i12 && 0 < a135 && 0 <= i61 && iconst_2 = 2 && 0 <= i63
div_Load_543(i61, i62, i63, a135, iconst_2, i12, env, static) -{1,1}> div_LT_545(i61, i62, i63, a135, iconst_2, i12, env, static) :|: 0 <= i62 && 2 <= i12 && 0 < a135 && 0 <= i61 && iconst_2 = 2 && 0 <= i63
div_LT_545(i61, i62, i63, a135, iconst_2, i12, env, static) -{0,0}> div_LT_549(i61, i62, i63, a135, iconst_2, i12, env, static) :|: 0 <= i62 && 2 <= i12 && i62 <= i61 && 0 < a135 && 0 <= i61 && iconst_2 = 2 && 0 <= i63
div_LT_549(i61, i62, i63, a135, iconst_2, i12, env, static) -{1,1}> div_Load_554(i61, i62, i63, a135, iconst_2, i12, env, static) :|: 0 <= i62 && 2 <= i12 && i62 <= i61 && 0 < a135 && 0 <= i61 && iconst_2 = 2 && 0 <= i63
div_Load_554(i61, i62, i63, a135, iconst_2, i12, env, static) -{1,1}> div_LE_556(i62, i61, i63, a135, iconst_2, i12, env, static) :|: 0 <= i62 && 2 <= i12 && 0 < a135 && 0 <= i61 && iconst_2 = 2 && 0 <= i63
div_LE_556(i70, i71, i63, a135, iconst_2, i12, env, static) -{0,0}> div_LE_560(i70, i71, i63, a135, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i70 && 0 < a135 && 0 <= i71 && iconst_2 = 2 && 1 <= i70 && 0 <= i63 && 1 <= i71
div_LE_560(i70, i71, i63, a135, iconst_2, i12, env, static) -{1,1}> div_Load_578(i71, i70, i63, a135, iconst_2, i12, env, static) :|: 0 < i70 && 2 <= i12 && 0 < a135 && 1 <= i70 && iconst_2 = 2 && 1 <= i71 && 0 <= i63
div_Load_578(i71, i70, i63, a135, iconst_2, i12, env, static) -{1,1}> div_Load_582(i71, i70, i63, a135, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a135 && 1 <= i70 && iconst_2 = 2 && 1 <= i71 && 0 <= i63
div_Load_582(i71, i70, i63, a135, iconst_2, i12, env, static) -{1,1}> div_IntArithmetic_584(i71, i70, i63, a135, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a135 && 1 <= i70 && iconst_2 = 2 && 1 <= i71 && 0 <= i63
div_IntArithmetic_584(i71, i70, i63, a135, iconst_2, i12, env, static) -{1,1}> div_Store_586(i73, i70, i63, a135, iconst_2, i12, env, static) :|: 2 <= i12 && i71 - i70 = i73 && 0 < a135 && 1 <= i70 && iconst_2 = 2 && 0 <= i73 && 1 <= i71 && 0 <= i63
div_Store_586(i73, i70, i63, a135, iconst_2, i12, env, static) -{1,1}> div_Load_588(i73, i70, i63, a135, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a135 && 1 <= i70 && iconst_2 = 2 && 0 <= i73 && 0 <= i63
div_Load_588(i73, i70, i63, a135, iconst_2, i12, env, static) -{1,1}> div_ConstantStackPush_589(i63, i73, i70, a135, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a135 && 1 <= i70 && iconst_2 = 2 && 0 <= i73 && 0 <= i63
div_ConstantStackPush_589(i63, i73, i70, a135, iconst_2, i12, env, static) -{1,1}> div_IntArithmetic_590(i63, iconst_1, i73, i70, a135, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a135 && iconst_1 = 1 && 1 <= i70 && iconst_2 = 2 && 0 <= i73 && 0 <= i63
div_IntArithmetic_590(i63, iconst_1, i73, i70, a135, iconst_2, i12, env, static) -{1,1}> div_Store_593(i74, i73, i70, a135, iconst_2, i12, env, static) :|: i63 + iconst_1 = i74 && 2 <= i12 && 1 <= i74 && 0 < a135 && iconst_1 = 1 && 1 <= i70 && iconst_2 = 2 && 0 <= i73 && 0 <= i63
div_Store_593(i74, i73, i70, a135, iconst_2, i12, env, static) -{1,1}> div_JMP_594(i73, i70, i74, a135, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i74 && 0 < a135 && 1 <= i70 && iconst_2 = 2 && 0 <= i73
div_JMP_594(i73, i70, i74, a135, iconst_2, i12, env, static) -{1,1}> div_Load_596(i73, i70, i74, a135, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i74 && 0 < a135 && 1 <= i70 && iconst_2 = 2 && 0 <= i73
div_Load_596(i73, i70, i74, a135, iconst_2, i12, env, static) -{0,0}> div_Load_540(i73, i70, i74, a135, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i70 && 1 <= i74 && 0 < a135 && 0 <= i74 && 1 <= i70 && iconst_2 = 2 && 0 <= i73

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

obtained
main_Load_2(o1, env, static) -{51,51}> div_Load_540(i8', i20', 0, o1, 2, i5', env, static'5) :|: 0 < 1 && 0 <= 2 && static'4 <= static'3 + 1 && i20' <= o25' && 0 < o1 && o25' < o1 && 0 <= 0 && 0 <= i5' && 0 <= i20' && 1 <= static'4 && 0 <= i8' && 2 <= i5' && 0 < o25' && 0 <= o8' && -1 * static'4 <= 1 && 0 <= static'3 && 0 < 2 && 0 <= static''' && 0 <= static && static'3 <= static'2 + o1 && 0 <= static'1 && static''' <= static + 2 && o1 <= static'3 && static'2 <= static'1 + 0 && -1 * static'3 <= 0 && i8' <= o8' && 0 <= o1 && i5' < o1 && 0 < o8' && 0 <= static'4 && o1 <= static'4 && o8' < o1 && 0 <= static'2 && 0 <= o25' && static'1 <= static''' + 1 && static'5 <= static'4 + 2 && 1 <= i5' && 0 <= 1
by chaining
main_Load_2(o1, env, static) -{0,0}> main_Load_4(o1, env, static) :|: 0 < o1
main_Load_4(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_5(o1, env, static) :|: 0 < o1
langle_clinit_rangle_ConstantStackPush_5(o1, env, static) -{1,1}> langle_clinit_rangle_ArrayCreate_12(iconst_0, o1, env, static) :|: iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ArrayCreate_12(iconst_0, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_14(a2, o1, iconst_0, env, static) :|: a2 = 2 && iconst_0 = 0 && 0 < a2 && 0 < o1
langle_clinit_rangle_FieldAccess_14(a2, o1, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_16(o1, env, static') :|: 0 <= a2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2 && 0 < o1
langle_clinit_rangle_New_16(o1, env, static) -{0,0}> langle_clinit_rangle_New_18(o1, env, static) :|: 0 < o1
langle_clinit_rangle_New_18(o1, env, static) -{0,0}> langle_clinit_rangle_New_19(o1, env, static) :|: 0 <= static && 0 < o1
langle_clinit_rangle_New_19(o1, env, static) -{1,1}> langle_clinit_rangle_Duplicate_20(o4, o1, env, static) :|: o4 = 1 && 0 < o4 && 0 < o1
langle_clinit_rangle_Duplicate_20(o4, o1, env, static) -{1,1}> langle_clinit_rangle_ConstantStackPush_22(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_ConstantStackPush_22(o4, o1, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_23(o4, NULL, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_clinit_rangle_InvokeMethod_23(o4, NULL, o1, env, static) -{1,1}> langle_init_rangle_Load_24(o4, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_init_rangle_Load_24(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_26(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_26(o4, o1, env, static) -{1,1}> langle_init_rangle_Load_28(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Load_28(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_30(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_30(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_32(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_32(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_34(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_34(o4, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_37(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_FieldAccess_37(o4, o1, env, static) -{1,1}> langle_clinit_rangle_Return_40(o1, env, static') :|: 0 <= o4 && 0 < o4 && 0 <= static && 0 < o1 && static' <= static + o4
langle_clinit_rangle_Return_40(o1, env, static) -{1,1}> main_Load_51(o1, env, static) :|: 0 < o1
main_Load_51(o1, env, static) -{0,0}> main_Load_54(o1, env, static) :|: 0 < o1
main_Load_54(o1, env, static) -{0,0}> main_Load_57(o1, env, static) :|: 0 <= static && 0 < o1
main_Load_57(o1, env, static) -{0,0}> main_Load_58(o1, env, static) :|: 0 < o1
main_Load_58(o1, env, static) -{0,0}> main_Load_59(o1, env, static) :|: 0 < o1
main_Load_59(o1, env, static) -{1,1}> main_FieldAccess_60(o1, env, static) :|: 0 < o1
main_FieldAccess_60(o1, env, static) -{0,0}> main_FieldAccess_62(o1, env, static) :|: 0 < o1
main_FieldAccess_62(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_64(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ConstantStackPush_64(o1, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_65(iconst_0, o1, NULL, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_FieldAccess_65(iconst_0, o1, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_66(o1, NULL, iconst_0, env, static') :|: NULL = 0 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0 && 0 < o1
langle_clinit_rangle_Return_66(o1, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_68(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
main_FieldAccess_68(o1, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_69(o1, iconst_0, env, static') :|: static' <= static + o1 && NULL = 0 && 0 <= o1 && iconst_0 = 0 && 0 <= static && 0 < o1
main_InvokeMethod_69(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_70(o1, iconst_0, env, static) :|: iconst_0 = 0 && 0 < o1
random_FieldAccess_70(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_71(o1, iconst_0, env, static) :|: 0 <= o1 && o1 <= static && iconst_0 = 0 && 0 <= static && 0 < o1
random_FieldAccess_71(o1, iconst_0, env, static) -{1,1}> random_ArrayAccess_72(o1, iconst_0, env, static) :|: -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static && 0 < o1
random_ArrayAccess_72(a6, iconst_0, env, static) -{0,0}> random_ArrayAccess_73(a6, iconst_0, i5, env, static) :|: i5 < a6 && iconst_0 = 0 && 0 < a6 && 0 <= i5
random_ArrayAccess_73(a6, iconst_0, i6, env, static) -{0,0}> random_ArrayAccess_75(a6, iconst_0, i6, env, static) :|: 0 <= i6 && 1 <= i6 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_75(a6, iconst_0, i6, env, static) -{1,1}> random_Store_79(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && o8 < a6 && iconst_0 = 0 && 0 < a6
random_Store_79(o8, a6, iconst_0, i6, env, static) -{1,1}> random_FieldAccess_81(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_0 = 0 && 0 < a6
random_FieldAccess_81(o8, a6, iconst_0, i6, env, static) -{1,1}> random_ConstantStackPush_86(iconst_0, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && 0 < a6 && iconst_0 <= static
random_ConstantStackPush_86(iconst_0, o8, a6, i6, env, static) -{1,1}> random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i6, env, static) -{1,1}> random_FieldAccess_91(iconst_1, o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_FieldAccess_91(iconst_1, o8, a6, iconst_0, i6, env, static) -{1,1}> random_Load_95(o8, a6, iconst_1, i6, env, static') :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 <= static && 0 < a6 && static' <= static + iconst_1
random_Load_95(o8, a6, iconst_1, i6, env, static) -{1,1}> random_InvokeMethod_101(o8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && 0 < a6
random_InvokeMethod_101(o12, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_103(o12, a6, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6
random_InvokeMethod_103(o12, a6, iconst_1, i6, env, static) -{1,1}> random_Return_108(i8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && i8 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_Return_108(i8, a6, iconst_1, i6, env, static) -{1,1}> main_Store_114(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_Store_114(a6, i8, iconst_1, i6, env, static) -{1,1}> main_InvokeMethod_119(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_InvokeMethod_119(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_122(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_FieldAccess_122(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_141(a6, i8, iconst_1, i6, env, static) :|: 0 <= a6 && 1 <= i6 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8
random_FieldAccess_141(a6, i8, iconst_1, i6, env, static) -{1,1}> random_ArrayAccess_143(a6, iconst_1, i8, i6, env, static) :|: -1 * static <= iconst_1 && 1 <= i6 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8
random_ArrayAccess_143(a6, iconst_1, i8, i12, env, static) -{0,0}> random_ArrayAccess_147(a6, iconst_1, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i12
random_ArrayAccess_147(a6, iconst_1, i8, i12, env, static) -{1,1}> random_Store_157(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && o25 < a6 && 0 < a6 && 0 <= i8 && 0 <= o25
random_Store_157(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_FieldAccess_162(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_FieldAccess_162(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_ConstantStackPush_178(iconst_1, o25, a6, i8, i12, env, static) :|: -1 * static <= iconst_1 && 2 <= i12 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8 && 0 <= o25
random_ConstantStackPush_178(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_IntArithmetic_187(iconst_1, o25, a6, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_IntArithmetic_187(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_FieldAccess_193(iconst_2, o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2
random_FieldAccess_193(iconst_2, o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_Load_203(o25, a6, i8, iconst_2, i12, env, static') :|: 2 <= i12 && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2 && static' <= static + iconst_2
random_Load_203(o25, a6, i8, iconst_2, i12, env, static) -{1,1}> random_InvokeMethod_226(o25, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2
random_InvokeMethod_226(o50, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_233(o50, a6, i8, iconst_2, i12, env, static) :|: 0 < o50 && 2 <= i12 && 0 <= o50 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_233(o50, a6, i8, iconst_2, i12, env, static) -{1,1}> random_Return_244(i20, a6, i8, iconst_2, i12, env, static) :|: 0 <= i20 && 0 < o50 && 2 <= i12 && 0 < a6 && 0 <= i8 && i20 <= o50 && iconst_2 = 2
random_Return_244(i20, a6, i8, iconst_2, i12, env, static) -{1,1}> main_Store_249(a6, i20, i8, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Store_249(a6, i20, i8, iconst_2, i12, env, static) -{1,1}> main_Load_253(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Load_253(a6, i8, i20, iconst_2, i12, env, static) -{1,1}> main_Load_257(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Load_257(a6, i8, i20, iconst_2, i12, env, static) -{1,1}> main_InvokeMethod_262(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_InvokeMethod_262(a6, i8, i20, iconst_2, i12, env, static) -{1,1}> div_ConstantStackPush_265(i8, i20, a6, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
div_ConstantStackPush_265(i8, i20, a6, iconst_2, i12, env, static) -{1,1}> div_Store_271(iconst_0, i8, i20, a6, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && 0 <= i8 && iconst_2 = 2
div_Store_271(iconst_0, i8, i20, a6, iconst_2, i12, env, static) -{1,1}> div_Load_275(i8, i20, iconst_0, a6, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && 0 <= i8 && iconst_2 = 2
div_Load_275(i8, i20, iconst_0, a6, iconst_2, i12, env, static) -{0,0}> div_Load_403(i8, i20, iconst_0, a6, iconst_2, i12, env, static) :|: 0 <= i20 && 0 <= iconst_0 && 2 <= i12 && iconst_0 <= 1 && iconst_0 = 0 && 0 < a6 && 0 <= i8 && iconst_2 = 2
div_Load_403(i30, i31, i32, a114, iconst_2, i12, env, static) -{0,0}> div_Load_462(i30, i31, i32, a114, iconst_2, i12, env, static) :|: i32 <= 2 && 0 < a114 && 0 <= i31 && 2 <= i12 && 0 <= i30 && 0 <= i32 && iconst_2 = 2 && i32 <= 1
div_Load_462(i45, i46, i47, a125, iconst_2, i12, env, static) -{0,0}> div_Load_540(i45, i46, i47, a125, iconst_2, i12, env, static) :|: 0 <= i45 && 2 <= i12 && 0 <= i46 && 0 <= i47 && 0 < a125 && iconst_2 = 2 && i47 <= 2

obtained
div_Load_540(i61, i62, i63, a135, 2, i12, env, static) -{14,14}> div_Load_540(i73', i62, i74', a135, 2, i12, env, static) :|: 0 <= i62 && 0 <= i73' && i61 - i62 = i73' && i63 + 1 = i74' && 1 <= i62 && 1 <= i74' && 0 <= i74' && 2 <= i12 && 0 < a135 && 0 <= i61 && 1 <= i61 && 0 < i62 && i62 <= i61 && 0 <= i63
by chaining
div_Load_540(i61, i62, i63, a135, iconst_2, i12, env, static) -{1,1}> div_Load_543(i61, i62, i63, a135, iconst_2, i12, env, static) :|: 0 <= i62 && 2 <= i12 && 0 < a135 && 0 <= i61 && iconst_2 = 2 && 0 <= i63
div_Load_543(i61, i62, i63, a135, iconst_2, i12, env, static) -{1,1}> div_LT_545(i61, i62, i63, a135, iconst_2, i12, env, static) :|: 0 <= i62 && 2 <= i12 && 0 < a135 && 0 <= i61 && iconst_2 = 2 && 0 <= i63
div_LT_545(i61, i62, i63, a135, iconst_2, i12, env, static) -{0,0}> div_LT_549(i61, i62, i63, a135, iconst_2, i12, env, static) :|: 0 <= i62 && 2 <= i12 && i62 <= i61 && 0 < a135 && 0 <= i61 && iconst_2 = 2 && 0 <= i63
div_LT_549(i61, i62, i63, a135, iconst_2, i12, env, static) -{1,1}> div_Load_554(i61, i62, i63, a135, iconst_2, i12, env, static) :|: 0 <= i62 && 2 <= i12 && i62 <= i61 && 0 < a135 && 0 <= i61 && iconst_2 = 2 && 0 <= i63
div_Load_554(i61, i62, i63, a135, iconst_2, i12, env, static) -{1,1}> div_LE_556(i62, i61, i63, a135, iconst_2, i12, env, static) :|: 0 <= i62 && 2 <= i12 && 0 < a135 && 0 <= i61 && iconst_2 = 2 && 0 <= i63
div_LE_556(i70, i71, i63, a135, iconst_2, i12, env, static) -{0,0}> div_LE_560(i70, i71, i63, a135, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i70 && 0 < a135 && 0 <= i71 && iconst_2 = 2 && 1 <= i70 && 0 <= i63 && 1 <= i71
div_LE_560(i70, i71, i63, a135, iconst_2, i12, env, static) -{1,1}> div_Load_578(i71, i70, i63, a135, iconst_2, i12, env, static) :|: 0 < i70 && 2 <= i12 && 0 < a135 && 1 <= i70 && iconst_2 = 2 && 1 <= i71 && 0 <= i63
div_Load_578(i71, i70, i63, a135, iconst_2, i12, env, static) -{1,1}> div_Load_582(i71, i70, i63, a135, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a135 && 1 <= i70 && iconst_2 = 2 && 1 <= i71 && 0 <= i63
div_Load_582(i71, i70, i63, a135, iconst_2, i12, env, static) -{1,1}> div_IntArithmetic_584(i71, i70, i63, a135, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a135 && 1 <= i70 && iconst_2 = 2 && 1 <= i71 && 0 <= i63
div_IntArithmetic_584(i71, i70, i63, a135, iconst_2, i12, env, static) -{1,1}> div_Store_586(i73, i70, i63, a135, iconst_2, i12, env, static) :|: 2 <= i12 && i71 - i70 = i73 && 0 < a135 && 1 <= i70 && iconst_2 = 2 && 0 <= i73 && 1 <= i71 && 0 <= i63
div_Store_586(i73, i70, i63, a135, iconst_2, i12, env, static) -{1,1}> div_Load_588(i73, i70, i63, a135, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a135 && 1 <= i70 && iconst_2 = 2 && 0 <= i73 && 0 <= i63
div_Load_588(i73, i70, i63, a135, iconst_2, i12, env, static) -{1,1}> div_ConstantStackPush_589(i63, i73, i70, a135, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a135 && 1 <= i70 && iconst_2 = 2 && 0 <= i73 && 0 <= i63
div_ConstantStackPush_589(i63, i73, i70, a135, iconst_2, i12, env, static) -{1,1}> div_IntArithmetic_590(i63, iconst_1, i73, i70, a135, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a135 && iconst_1 = 1 && 1 <= i70 && iconst_2 = 2 && 0 <= i73 && 0 <= i63
div_IntArithmetic_590(i63, iconst_1, i73, i70, a135, iconst_2, i12, env, static) -{1,1}> div_Store_593(i74, i73, i70, a135, iconst_2, i12, env, static) :|: i63 + iconst_1 = i74 && 2 <= i12 && 1 <= i74 && 0 < a135 && iconst_1 = 1 && 1 <= i70 && iconst_2 = 2 && 0 <= i73 && 0 <= i63
div_Store_593(i74, i73, i70, a135, iconst_2, i12, env, static) -{1,1}> div_JMP_594(i73, i70, i74, a135, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i74 && 0 < a135 && 1 <= i70 && iconst_2 = 2 && 0 <= i73
div_JMP_594(i73, i70, i74, a135, iconst_2, i12, env, static) -{1,1}> div_Load_596(i73, i70, i74, a135, iconst_2, i12, env, static) :|: 2 <= i12 && 1 <= i74 && 0 < a135 && 1 <= i70 && iconst_2 = 2 && 0 <= i73
div_Load_596(i73, i70, i74, a135, iconst_2, i12, env, static) -{0,0}> div_Load_540(i73, i70, i74, a135, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i70 && 1 <= i74 && 0 < a135 && 0 <= i74 && 1 <= i70 && iconst_2 = 2 && 0 <= i73

(34) Obligation:

IntTrs with 2 rules
Start term: main_Load_2(args, env, static)
Considered paths: all paths from start
Rules:
main_Load_2(o1, env, static) -{51,51}> div_Load_540(i8', i20', 0, o1, 2, i5', env, static'5) :|: 0 < 1 && 0 <= 2 && static'4 <= static'3 + 1 && i20' <= o25' && 0 < o1 && o25' < o1 && 0 <= 0 && 0 <= i5' && 0 <= i20' && 1 <= static'4 && 0 <= i8' && 2 <= i5' && 0 < o25' && 0 <= o8' && -1 * static'4 <= 1 && 0 <= static'3 && 0 < 2 && 0 <= static''' && 0 <= static && static'3 <= static'2 + o1 && 0 <= static'1 && static''' <= static + 2 && o1 <= static'3 && static'2 <= static'1 + 0 && -1 * static'3 <= 0 && i8' <= o8' && 0 <= o1 && i5' < o1 && 0 < o8' && 0 <= static'4 && o1 <= static'4 && o8' < o1 && 0 <= static'2 && 0 <= o25' && static'1 <= static''' + 1 && static'5 <= static'4 + 2 && 1 <= i5' && 0 <= 1
div_Load_540(i61, i62, i63, a135, 2, i12, env, static) -{14,14}> div_Load_540(i73', i62, i74', a135, 2, i12, env, static) :|: 0 <= i62 && 0 <= i73' && i61 - i62 = i73' && i63 + 1 = i74' && 1 <= i62 && 1 <= i74' && 0 <= i74' && 2 <= i12 && 0 < a135 && 0 <= i61 && 1 <= i61 && 0 < i62 && i62 <= i61 && 0 <= i63

(35) 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)
div_Load_540(x1, x2, x3, x4, x5, x6, x7, x8) → div_Load_540(x1, x2, x3, x4, x6)

(36) Obligation:

IntTrs with 2 rules
Start term: main_Load_2(args, static)
Considered paths: all paths from start
Rules:
main_Load_2(o1, static) -{51,51}> div_Load_540(i8', i20', 0, o1, i5') :|: 0 < 1 && 0 <= 2 && static'4 <= static'3 + 1 && i20' <= o25' && 0 < o1 && o25' < o1 && 0 <= 0 && 0 <= i5' && 0 <= i20' && 1 <= static'4 && 0 <= i8' && 2 <= i5' && 0 < o25' && 0 <= o8' && -1 * static'4 <= 1 && 0 <= static'3 && 0 < 2 && 0 <= static''' && 0 <= static && static'3 <= static'2 + o1 && 0 <= static'1 && static''' <= static + 2 && o1 <= static'3 && static'2 <= static'1 + 0 && -1 * static'3 <= 0 && i8' <= o8' && 0 <= o1 && i5' < o1 && 0 < o8' && 0 <= static'4 && o1 <= static'4 && o8' < o1 && 0 <= static'2 && 0 <= o25' && static'1 <= static''' + 1 && static'5 <= static'4 + 2 && 1 <= i5' && 0 <= 1
div_Load_540(i61, i62, i63, a135, i12) -{14,14}> div_Load_540(i73', i62, i74', a135, i12) :|: 0 <= i62 && 0 <= i73' && i61 - i62 = i73' && i63 + 1 = i74' && 1 <= i62 && 1 <= i74' && 0 <= i74' && 2 <= i12 && 0 < a135 && 0 <= i61 && 1 <= i61 && 0 < i62 && i62 <= i61 && 0 <= i63

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

Moved arithmethic from constraints to rhss.

div_Load_540(i61, i62, i63, a135, i12) -{14,14}> div_Load_540(i73', i62, i74', a135, i12) :|: 0 <= i62 && 0 <= i73' && i61 - i62 = i73' && i63 + 1 = i74' && 1 <= i62 && 1 <= i74' && 0 <= i74' && 2 <= i12 && 0 < a135 && 0 <= i61 && 1 <= i61 && 0 < i62 && i62 <= i61 && 0 <= i63
was transformed to
div_Load_540(i61, i62, i63, a135, i12) -{14,14}> div_Load_540(i61 - i62, i62, i63 + 1, a135, i12) :|: 0 <= i62 && 0 <= i73' && i61 - i62 = i73' && i63 + 1 = i74' && 1 <= i62 && 1 <= i74' && 0 <= i74' && 2 <= i12 && 0 < a135 && 0 <= i61 && 1 <= i61 && 0 < i62 && i62 <= i61 && 0 <= i63

(38) Obligation:

IntTrs with 2 rules
Start term: main_Load_2(args, static)
Considered paths: all paths from start
Rules:
div_Load_540(i61, i62, i63, a135, i12) -{14,14}> div_Load_540(i61 - i62, i62, i63 + 1, a135, i12) :|: 0 <= i62 && 0 <= i73' && i61 - i62 = i73' && i63 + 1 = i74' && 1 <= i62 && 1 <= i74' && 0 <= i74' && 2 <= i12 && 0 < a135 && 0 <= i61 && 1 <= i61 && 0 < i62 && i62 <= i61 && 0 <= i63
main_Load_2(o1, static) -{51,51}> div_Load_540(i8', i20', 0, o1, i5') :|: 0 < 1 && 0 <= 2 && static'4 <= static'3 + 1 && i20' <= o25' && 0 < o1 && o25' < o1 && 0 <= 0 && 0 <= i5' && 0 <= i20' && 1 <= static'4 && 0 <= i8' && 2 <= i5' && 0 < o25' && 0 <= o8' && -1 * static'4 <= 1 && 0 <= static'3 && 0 < 2 && 0 <= static''' && 0 <= static && static'3 <= static'2 + o1 && 0 <= static'1 && static''' <= static + 2 && o1 <= static'3 && static'2 <= static'1 + 0 && -1 * static'3 <= 0 && i8' <= o8' && 0 <= o1 && i5' < o1 && 0 < o8' && 0 <= static'4 && o1 <= static'4 && o8' < o1 && 0 <= static'2 && 0 <= o25' && static'1 <= static''' + 1 && static'5 <= static'4 + 2 && 1 <= i5' && 0 <= 1

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

Simplified expressions.

main_Load_2(o1, static) -{51,51}> div_Load_540(i8', i20', 0, o1, i5') :|: 0 < 1 && 0 <= 2 && static'4 <= static'3 + 1 && i20' <= o25' && 0 < o1 && o25' < o1 && 0 <= 0 && 0 <= i5' && 0 <= i20' && 1 <= static'4 && 0 <= i8' && 2 <= i5' && 0 < o25' && 0 <= o8' && -1 * static'4 <= 1 && 0 <= static'3 && 0 < 2 && 0 <= static''' && 0 <= static && static'3 <= static'2 + o1 && 0 <= static'1 && static''' <= static + 2 && o1 <= static'3 && static'2 <= static'1 + 0 && -1 * static'3 <= 0 && i8' <= o8' && 0 <= o1 && i5' < o1 && 0 < o8' && 0 <= static'4 && o1 <= static'4 && o8' < o1 && 0 <= static'2 && 0 <= o25' && static'1 <= static''' + 1 && static'5 <= static'4 + 2 && 1 <= i5' && 0 <= 1
was transformed to
main_Load_2(o1, static) -{51,51}> div_Load_540(i8', i20', 0, o1, i5') :|: static'4 <= static'3 + 1 && i20' <= o25' && 0 < o1 && o25' < o1 && 0 <= i5' && 0 <= i20' && 1 <= static'4 && 0 <= i8' && 2 <= i5' && 0 < o25' && -1 * static'4 <= 1 && 0 <= static'3 && 0 <= static''' && 0 <= static && static'3 <= static'2 + o1 && 0 <= static'1 && static''' <= static + 2 && o1 <= static'3 && static'2 <= static'1 && -1 * static'3 <= 0 && i8' <= o8' && i5' < o1 && 0 < o8' && 0 <= static'4 && o1 <= static'4 && o8' < o1 && 0 <= static'2 && static'1 <= static''' + 1 && static'5 <= static'4 + 2 && 1 <= i5'

div_Load_540(i61, i62, i63, a135, i12) -{14,14}> div_Load_540(i61 - i62, i62, i63 + 1, a135, i12) :|: 0 <= i62 && 0 <= i73' && i61 - i62 = i73' && i63 + 1 = i74' && 1 <= i62 && 1 <= i74' && 0 <= i74' && 2 <= i12 && 0 < a135 && 0 <= i61 && 1 <= i61 && 0 < i62 && i62 <= i61 && 0 <= i63
was transformed to
div_Load_540(i61, i62, i63, a135, i12) -{14,14}> div_Load_540(i61 + -1 * i62, i62, i63 + 1, a135, i12) :|: 0 <= i73' && i61 + -1 * i62 = i73' && i63 + 1 = i74' && 1 <= i62 && 1 <= i74' && 0 <= i74' && 2 <= i12 && 0 < a135 && 0 <= i61 && 1 <= i61 && 0 < i62 && i62 <= i61 && 0 <= i63

(40) Obligation:

IntTrs with 2 rules
Start term: main_Load_2(args, static)
Considered paths: all paths from start
Rules:
main_Load_2(o1, static) -{51,51}> div_Load_540(i8', i20', 0, o1, i5') :|: static'4 <= static'3 + 1 && i20' <= o25' && 0 < o1 && o25' < o1 && 0 <= i5' && 0 <= i20' && 1 <= static'4 && 0 <= i8' && 2 <= i5' && 0 < o25' && -1 * static'4 <= 1 && 0 <= static'3 && 0 <= static''' && 0 <= static && static'3 <= static'2 + o1 && 0 <= static'1 && static''' <= static + 2 && o1 <= static'3 && static'2 <= static'1 && -1 * static'3 <= 0 && i8' <= o8' && i5' < o1 && 0 < o8' && 0 <= static'4 && o1 <= static'4 && o8' < o1 && 0 <= static'2 && static'1 <= static''' + 1 && static'5 <= static'4 + 2 && 1 <= i5'
div_Load_540(i61, i62, i63, a135, i12) -{14,14}> div_Load_540(i61 + -1 * i62, i62, i63 + 1, a135, i12) :|: 0 <= i73' && i61 + -1 * i62 = i73' && i63 + 1 = i74' && 1 <= i62 && 1 <= i74' && 0 <= i74' && 2 <= i12 && 0 < a135 && 0 <= i61 && 1 <= i61 && 0 < i62 && i62 <= i61 && 0 <= i63

(41) koat Proof (EQUIVALENT transformation)

YES(?, 14*ar_0 + 51)

Initial complexity problem:
1: T:
(Comp: ?, Cost: 51) main_Load_2(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(div_Load_540(i8', i20', 0, ar_0, i5')) [ static'4 <= static'3 + 1 /\ i20' <= o25' /\ 0 < ar_0 /\ o25' < ar_0 /\ 0 <= i5' /\ 0 <= i20' /\ 1 <= static'4 /\ 0 <= i8' /\ 2 <= i5' /\ 0 < o25' /\ -static'4 <= 1 /\ 0 <= static'3 /\ 0 <= static''' /\ 0 <= ar_1 /\ static'3 <= static'2 + ar_0 /\ 0 <= static'1 /\ static''' <= ar_1 + 2 /\ ar_0 <= static'3 /\ static'2 <= static'1 /\ -static'3 <= 0 /\ i8' <= o8' /\ i5' < ar_0 /\ 0 < o8' /\ 0 <= static'4 /\ ar_0 <= static'4 /\ o8' < ar_0 /\ 0 <= static'2 /\ static'1 <= static''' + 1 /\ static'5 <= static'4 + 2 /\ 1 <= i5' ]
(Comp: ?, Cost: 14) div_Load_540(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(div_Load_540(ar_0 - ar_1, ar_1, ar_2 + 1, ar_3, ar_4)) [ 0 <= i73' /\ ar_0 - ar_1 = i73' /\ ar_2 + 1 = i74' /\ 1 <= ar_1 /\ 1 <= i74' /\ 0 <= i74' /\ 2 <= ar_4 /\ 0 < ar_3 /\ 0 <= ar_0 /\ 1 <= ar_0 /\ 0 < ar_1 /\ ar_1 <= ar_0 /\ 0 <= ar_2 ]
(Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_2(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
start location: koat_start
leaf cost: 0

Repeatedly propagating knowledge in problem 1 produces the following problem:
2: T:
(Comp: 1, Cost: 51) main_Load_2(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(div_Load_540(i8', i20', 0, ar_0, i5')) [ static'4 <= static'3 + 1 /\ i20' <= o25' /\ 0 < ar_0 /\ o25' < ar_0 /\ 0 <= i5' /\ 0 <= i20' /\ 1 <= static'4 /\ 0 <= i8' /\ 2 <= i5' /\ 0 < o25' /\ -static'4 <= 1 /\ 0 <= static'3 /\ 0 <= static''' /\ 0 <= ar_1 /\ static'3 <= static'2 + ar_0 /\ 0 <= static'1 /\ static''' <= ar_1 + 2 /\ ar_0 <= static'3 /\ static'2 <= static'1 /\ -static'3 <= 0 /\ i8' <= o8' /\ i5' < ar_0 /\ 0 < o8' /\ 0 <= static'4 /\ ar_0 <= static'4 /\ o8' < ar_0 /\ 0 <= static'2 /\ static'1 <= static''' + 1 /\ static'5 <= static'4 + 2 /\ 1 <= i5' ]
(Comp: ?, Cost: 14) div_Load_540(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(div_Load_540(ar_0 - ar_1, ar_1, ar_2 + 1, ar_3, ar_4)) [ 0 <= i73' /\ ar_0 - ar_1 = i73' /\ ar_2 + 1 = i74' /\ 1 <= ar_1 /\ 1 <= i74' /\ 0 <= i74' /\ 2 <= ar_4 /\ 0 < ar_3 /\ 0 <= ar_0 /\ 1 <= ar_0 /\ 0 < ar_1 /\ ar_1 <= ar_0 /\ 0 <= ar_2 ]
(Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_2(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
start location: koat_start
leaf cost: 0

A polynomial rank function with
Pol(main_Load_2) = V_1
Pol(div_Load_540) = V_1 + 1
Pol(koat_start) = V_1
orients all transitions weakly and the transition
div_Load_540(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(div_Load_540(ar_0 - ar_1, ar_1, ar_2 + 1, ar_3, ar_4)) [ 0 <= i73' /\ ar_0 - ar_1 = i73' /\ ar_2 + 1 = i74' /\ 1 <= ar_1 /\ 1 <= i74' /\ 0 <= i74' /\ 2 <= ar_4 /\ 0 < ar_3 /\ 0 <= ar_0 /\ 1 <= ar_0 /\ 0 < ar_1 /\ ar_1 <= ar_0 /\ 0 <= ar_2 ]
strictly and produces the following problem:
3: T:
(Comp: 1, Cost: 51) main_Load_2(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(div_Load_540(i8', i20', 0, ar_0, i5')) [ static'4 <= static'3 + 1 /\ i20' <= o25' /\ 0 < ar_0 /\ o25' < ar_0 /\ 0 <= i5' /\ 0 <= i20' /\ 1 <= static'4 /\ 0 <= i8' /\ 2 <= i5' /\ 0 < o25' /\ -static'4 <= 1 /\ 0 <= static'3 /\ 0 <= static''' /\ 0 <= ar_1 /\ static'3 <= static'2 + ar_0 /\ 0 <= static'1 /\ static''' <= ar_1 + 2 /\ ar_0 <= static'3 /\ static'2 <= static'1 /\ -static'3 <= 0 /\ i8' <= o8' /\ i5' < ar_0 /\ 0 < o8' /\ 0 <= static'4 /\ ar_0 <= static'4 /\ o8' < ar_0 /\ 0 <= static'2 /\ static'1 <= static''' + 1 /\ static'5 <= static'4 + 2 /\ 1 <= i5' ]
(Comp: ar_0, Cost: 14) div_Load_540(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(div_Load_540(ar_0 - ar_1, ar_1, ar_2 + 1, ar_3, ar_4)) [ 0 <= i73' /\ ar_0 - ar_1 = i73' /\ ar_2 + 1 = i74' /\ 1 <= ar_1 /\ 1 <= i74' /\ 0 <= i74' /\ 2 <= ar_4 /\ 0 < ar_3 /\ 0 <= ar_0 /\ 1 <= ar_0 /\ 0 < ar_1 /\ ar_1 <= ar_0 /\ 0 <= ar_2 ]
(Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_2(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
start location: koat_start
leaf cost: 0

Complexity upper bound 14*ar_0 + 51

Time: 0.227 sec (SMT: 0.203 sec)

(0) Obligation:

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

(2) Obligation:

(3) TerminationGraphToComplexityProof (BOTH CONCRETE BOUNDS(ID, ADD(96)) transformation)

(4) Obligation:

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

(6) Obligation:

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

(8) Obligation:

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

(10) Obligation:

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

(12) Obligation:

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

(14) Obligation:

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

(16) Obligation:

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

(18) Obligation:

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

(20) Obligation:

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

(22) Obligation:

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

(24) Obligation:

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

(26) Obligation:

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

(28) Obligation:

(29) TerminationGraphToComplexityProof (BOTH CONCRETE BOUNDS(ID, ADD(96)) transformation)

(30) Obligation:

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

(32) Obligation:

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

(34) Obligation:

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

(36) Obligation:

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

(38) Obligation:

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

(40) Obligation:

(41) koat Proof (EQUIVALENT transformation)

(42) BOUNDS(CONSTANT, 51 + 14 * |args|)