time complexity proof of /tmp/tmppCMYrA/DivWithoutMinus.jar

The time complexity of the given JBC problem could be proven to be BOUNDS(CONSTANT, 195 + 61 * |args|).

0 JBC problem

↳1 JBCToGraph (BOTH CONCRETE BOUNDS(ID, ID), 530 ms)

↳2 JBCTerminationGraph

↳3 TerminationGraphToComplexityProof (BOTH CONCRETE BOUNDS(ID, ADD(94)), 24 ms)

↳4 JBCComplexityEdges

    ↳5 JBCGraphEdgesToCpxIntTrsProof (CONCRETE UPPER BOUND(ID), 199 ms)

    ↳6 WeightedIntTrs

        ↳7 StraightLineCodeCompressionProof (BOTH CONCRETE BOUNDS(ID, ID), 104 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 RemoveDivModProof (CONCRETE UPPER BOUND(ID), 13 ms)

        ↳14 WeightedIntTrs

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

        ↳16 WeightedIntTrs

        ↳17 ExpressionSimplificationProof (BOTH CONCRETE BOUNDS(ID, ID), 28 ms)

        ↳18 WeightedIntTrs

    ↳19 JBCGraphEdgesToCpxIntTrsProof (CONCRETE UPPER BOUND(ID), 203 ms)

    ↳20 WeightedIntTrs

        ↳21 StraightLineCodeCompressionProof (BOTH CONCRETE BOUNDS(ID, ID), 57 ms)

        ↳22 WeightedIntTrs

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

        ↳24 WeightedIntTrs

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

        ↳26 WeightedIntTrs

        ↳27 RemoveDivModProof (CONCRETE UPPER BOUND(ID), 0 ms)

        ↳28 WeightedIntTrs

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

        ↳30 WeightedIntTrs

        ↳31 ExpressionSimplificationProof (BOTH CONCRETE BOUNDS(ID, ID), 9 ms)

        ↳32 WeightedIntTrs

↳33 TerminationGraphToComplexityProof (BOTH CONCRETE BOUNDS(ID, ADD(94)), 23 ms)

↳34 JBCComplexityEdges

    ↳35 JBCGraphEdgesToCpxIntTrsProof (CONCRETE UPPER BOUND(ID), 250 ms)

    ↳36 WeightedIntTrs

    ↳37 StraightLineCodeCompressionProof (BOTH CONCRETE BOUNDS(ID, ID), 90 ms)

    ↳38 WeightedIntTrs

    ↳39 WeightedIntTrsUnneededArgumentFilterProof (CONCRETE UPPER BOUND(ID), 20 ms)

    ↳40 WeightedIntTrs

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

    ↳42 WeightedIntTrs

    ↳43 RemoveDivModProof (CONCRETE UPPER BOUND(ID), 0 ms)

    ↳44 WeightedIntTrs

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

    ↳46 WeightedIntTrs

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

    ↳48 WeightedIntTrs

    ↳49 koat Proof (⇔, 1393 ms)

    ↳50 BOUNDS(CONSTANT, 101 + 61 * |args|)

(0) Obligation:

Need to prove time_complexity of the following program:

public class DivWithoutMinus{
  // adaption of the algorithm from [Kolbe 95]
  public static void main(String[] args) {
    Random.args = args;

    int x = Random.random();
    int y = Random.random();
    int z = y;
    int res = 0;

    while (z > 0 && (y == 0 || y > 0 && x > 0))	{

      if (y == 0) {
        res++;
        y = z;
      }
      else {
        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:
DivWithoutMinus.main([Ljava/lang/String;)V: Graph of 203 nodes with 1 SCC.

(3) TerminationGraphToComplexityProof (BOTH CONCRETE BOUNDS(ID, ADD(94)) transformation)

Extracted set of 109 edges for the analysis of TIME complexity. Kept leaves.

(4) Obligation:

Set of 109 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 109 jbc graph edges to a weighted ITS with 109 rules.
Filtered conditions with variables that do not depend on the variables on the lhs or rhs without taking transitive dependencies into account.
Did no encode lower bounds for putfield and astore.

(6) Obligation:

IntTrs with 109 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_2(o2, env, static) -{0,0}> main_Load_3(o2, env, static) :|: 0 < o2
main_Load_3(o2, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_5(o2, env, static) :|: 0 < o2
langle_clinit_rangle_ConstantStackPush_5(o2, env, static) -{1,1}> langle_clinit_rangle_ArrayCreate_12(iconst_0, o2, env, static) :|: 0 < o2 && iconst_0 = 0
langle_clinit_rangle_ArrayCreate_12(iconst_0, o2, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_13(a2, o2, iconst_0, env, static) :|: a2 = 2 && 0 < o2 && iconst_0 = 0 && 0 < a2
langle_clinit_rangle_FieldAccess_13(a2, o2, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_16(o2, env, static') :|: 0 <= a2 && 0 < o2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2
langle_clinit_rangle_New_16(o2, env, static) -{0,0}> langle_clinit_rangle_New_18(o2, env, static) :|: 0 < o2
langle_clinit_rangle_New_18(o2, env, static) -{0,0}> langle_clinit_rangle_New_19(o2, env, static) :|: 0 < o2 && 0 <= static
langle_clinit_rangle_New_19(o2, env, static) -{1,1}> langle_clinit_rangle_Duplicate_20(o4, o2, env, static) :|: o4 = 1 && 0 < o2 && 0 < o4
langle_clinit_rangle_Duplicate_20(o4, o2, env, static) -{1,1}> langle_clinit_rangle_ConstantStackPush_22(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_clinit_rangle_ConstantStackPush_22(o4, o2, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_23(o4, NULL, o2, env, static) :|: NULL = 0 && 0 < o2 && 0 < o4
langle_clinit_rangle_InvokeMethod_23(o4, NULL, o2, env, static) -{1,1}> langle_init_rangle_Load_25(o4, o2, env, static) :|: NULL = 0 && 0 < o2 && 0 < o4
langle_init_rangle_Load_25(o4, o2, env, static) -{1,1}> langle_init_rangle_InvokeMethod_27(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_InvokeMethod_27(o4, o2, env, static) -{1,1}> langle_init_rangle_Load_29(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Load_29(o4, o2, env, static) -{1,1}> langle_init_rangle_InvokeMethod_31(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_InvokeMethod_31(o4, o2, env, static) -{1,1}> langle_init_rangle_Return_34(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Return_34(o4, o2, env, static) -{1,1}> langle_init_rangle_Return_36(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Return_36(o4, o2, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_39(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_clinit_rangle_FieldAccess_39(o4, o2, env, static) -{1,1}> langle_clinit_rangle_Return_40(o2, env, static') :|: 0 < o2 && 0 <= o4 && 0 < o4 && 0 <= static && static' <= static + o4
langle_clinit_rangle_Return_40(o2, env, static) -{1,1}> main_Load_47(o2, env, static) :|: 0 < o2
main_Load_47(o2, env, static) -{0,0}> main_Load_49(o2, env, static) :|: 0 < o2
main_Load_49(o2, env, static) -{0,0}> main_Load_52(o2, env, static) :|: 0 < o2 && 0 <= static
main_Load_52(o2, env, static) -{0,0}> main_Load_54(o2, env, static) :|: 0 < o2
main_Load_54(o2, env, static) -{0,0}> main_Load_58(o2, env, static) :|: 0 < o2
main_Load_58(o2, env, static) -{1,1}> main_FieldAccess_59(o2, env, static) :|: 0 < o2
main_FieldAccess_59(o2, env, static) -{0,0}> main_FieldAccess_60(o2, env, static) :|: 0 < o2
main_FieldAccess_60(o2, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_61(o2, NULL, iconst_0, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
langle_clinit_rangle_ConstantStackPush_61(o2, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_62(iconst_0, o2, NULL, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
langle_clinit_rangle_FieldAccess_62(iconst_0, o2, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_63(o2, NULL, iconst_0, env, static') :|: NULL = 0 && 0 < o2 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0
langle_clinit_rangle_Return_63(o2, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_64(o2, NULL, iconst_0, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
main_FieldAccess_64(o2, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_65(o2, iconst_0, env, static') :|: NULL = 0 && 0 < o2 && 0 <= o2 && iconst_0 = 0 && 0 <= static && static' <= static + o2
main_InvokeMethod_65(o2, iconst_0, env, static) -{1,1}> random_FieldAccess_66(o2, iconst_0, env, static) :|: 0 < o2 && iconst_0 = 0
random_FieldAccess_66(o2, iconst_0, env, static) -{1,1}> random_FieldAccess_70(o2, iconst_0, env, static) :|: 0 < o2 && o2 <= static && 0 <= o2 && iconst_0 = 0 && 0 <= static
random_FieldAccess_70(o2, iconst_0, env, static) -{1,1}> random_ArrayAccess_71(o2, iconst_0, env, static) :|: 0 < o2 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static
random_ArrayAccess_71(a6, iconst_0, env, static) -{0,0}> random_ArrayAccess_72(a6, iconst_0, i5, env, static) :|: i5 < a6 && iconst_0 = 0 && 0 < a6 && 0 <= i5
random_ArrayAccess_72(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_73(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_72(a6, iconst_0, i6, env, static) -{0,0}> random_ArrayAccess_74(a6, iconst_0, i6, env, static) :|: 0 <= i6 && 1 <= i6 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_74(a6, iconst_0, i6, env, static) -{1,1}> random_Store_78(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && o8 < a6 && iconst_0 = 0 && 0 < a6
random_Store_78(o8, a6, iconst_0, i6, env, static) -{1,1}> random_FieldAccess_81(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_0 = 0 && 0 < a6
random_FieldAccess_81(o8, a6, iconst_0, i6, env, static) -{1,1}> random_ConstantStackPush_85(iconst_0, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && 0 < a6 && iconst_0 <= static
random_ConstantStackPush_85(iconst_0, o8, a6, i6, env, static) -{1,1}> random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i6, env, static) -{1,1}> random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i6, env, static) -{1,1}> random_Load_94(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_94(o8, a6, iconst_1, i6, env, static) -{1,1}> random_InvokeMethod_97(o8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && 0 < a6
random_InvokeMethod_97(o11, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_98(o11, a6, iconst_1, i6, env, static) :|: 0 <= o11 && 1 <= i6 && iconst_1 = 1 && 0 < o11 && 0 < a6
random_InvokeMethod_97(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_99(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
random_InvokeMethod_98(o11, a6, iconst_1, i6, env, static) -{1,1}> random_Return_101(i7, a6, iconst_1, i6, env, static) :|: 1 <= i6 && i7 <= o11 && iconst_1 = 1 && 0 < o11 && 0 < a6 && 0 <= i7
random_Return_101(i7, a6, iconst_1, i6, env, static) -{1,1}> main_Store_115(a6, i7, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i7
main_Store_115(a6, i7, iconst_1, i6, env, static) -{1,1}> main_InvokeMethod_119(a6, i7, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i7
main_InvokeMethod_119(a6, i7, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_122(a6, i7, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i7
random_FieldAccess_122(a6, i7, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_141(a6, i7, iconst_1, i6, env, static) :|: 0 <= a6 && 1 <= i6 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i7
random_FieldAccess_141(a6, i7, iconst_1, i6, env, static) -{1,1}> random_ArrayAccess_143(a6, iconst_1, i7, i6, env, static) :|: -1 * static <= iconst_1 && 1 <= i6 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i7
random_ArrayAccess_143(a6, iconst_1, i7, iconst_1, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i7, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i7
random_ArrayAccess_143(a6, iconst_1, i7, i12, env, static) -{0,0}> random_ArrayAccess_147(a6, iconst_1, i7, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && 1 <= i12
random_ArrayAccess_147(a6, iconst_1, i7, i12, env, static) -{1,1}> random_Store_151(o25, a6, i7, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && o25 < a6 && 0 < a6 && 0 <= i7 && 0 <= o25
random_Store_151(o25, a6, i7, iconst_1, i12, env, static) -{1,1}> random_FieldAccess_153(o25, a6, i7, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && 0 <= o25
random_FieldAccess_153(o25, a6, i7, iconst_1, i12, env, static) -{1,1}> random_ConstantStackPush_168(iconst_1, o25, a6, i7, i12, env, static) :|: -1 * static <= iconst_1 && 2 <= i12 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i7 && 0 <= o25
random_ConstantStackPush_168(iconst_1, o25, a6, i7, i12, env, static) -{1,1}> random_IntArithmetic_177(iconst_1, o25, a6, i7, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && 0 <= o25
random_IntArithmetic_177(iconst_1, o25, a6, i7, i12, env, static) -{1,1}> random_FieldAccess_189(iconst_2, o25, a6, i7, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && 0 <= o25 && iconst_2 = 2
random_FieldAccess_189(iconst_2, o25, a6, i7, iconst_1, i12, env, static) -{1,1}> random_Load_204(o25, a6, i7, iconst_2, i12, env, static') :|: 2 <= i12 && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i7 && 0 <= o25 && iconst_2 = 2 && static' <= static + iconst_2
random_Load_204(o25, a6, i7, iconst_2, i12, env, static) -{1,1}> random_InvokeMethod_217(o25, a6, i7, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i7 && 0 <= o25 && iconst_2 = 2
random_InvokeMethod_217(o50, a6, i7, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_225(o50, a6, i7, iconst_2, i12, env, static) :|: 0 < o50 && 2 <= i12 && 0 <= o50 && 0 < a6 && 0 <= i7 && iconst_2 = 2
random_InvokeMethod_217(NULL, a6, i7, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_226(NULL, a6, i7, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i7 && iconst_2 = 2
random_InvokeMethod_225(o50, a6, i7, iconst_2, i12, env, static) -{1,1}> random_Return_237(i20, a6, i7, iconst_2, i12, env, static) :|: 0 <= i20 && 0 < o50 && 2 <= i12 && 0 < a6 && 0 <= i7 && i20 <= o50 && iconst_2 = 2
random_Return_237(i20, a6, i7, iconst_2, i12, env, static) -{1,1}> main_Store_242(a6, i20, i7, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i7 && iconst_2 = 2
main_Store_242(a6, i20, i7, iconst_2, i12, env, static) -{1,1}> main_Load_246(a6, i7, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i7 && iconst_2 = 2
main_Load_246(a6, i7, i20, iconst_2, i12, env, static) -{1,1}> main_Store_257(a6, i20, i7, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i7 && iconst_2 = 2
main_Store_257(a6, i20, i7, iconst_2, i12, env, static) -{1,1}> main_ConstantStackPush_269(a6, i7, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i7 && iconst_2 = 2
main_ConstantStackPush_269(a6, i7, i20, iconst_2, i12, env, static) -{1,1}> main_Store_294(a6, iconst_0, i7, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && 0 <= i7 && iconst_2 = 2
main_Store_294(a6, iconst_0, i7, i20, iconst_2, i12, env, static) -{1,1}> main_Load_298(a6, i7, i20, iconst_0, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && 0 <= i7 && iconst_2 = 2
main_Load_298(a6, i7, i20, iconst_0, iconst_2, i12, env, static) -{0,0}> main_Load_776(a6, i7, i20, i20, iconst_0, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && 0 <= i7 && iconst_2 = 2
main_Load_776(a109, i53, i54, i55, iconst_0, iconst_2, i12, env, static) -{0,0}> main_Load_868(a109, i53, i54, i55, iconst_0, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 0 <= i55 && 2 <= i12 && iconst_0 <= 1 && iconst_0 = 0 && 0 <= i54 && iconst_2 = 2 && 0 <= i53 && 0 < a109
main_Load_868(a129, i53, i117, i118, i119, iconst_2, i12, env, static) -{0,0}> main_Load_1004(a129, i53, i117, i118, i119, iconst_2, i12, env, static) :|: 2 <= i12 && i119 <= 1 && 0 <= i118 && i119 <= 2 && 0 <= i119 && iconst_2 = 2 && 0 <= i53 && 0 < a129 && 0 <= i117
main_Load_1004(a143, i53, i149, i150, i151, iconst_2, i12, env, static) -{0,0}> main_Load_1068(a143, i53, i149, i150, i151, iconst_2, i12, env, static) :|: 0 <= i150 && i151 <= 2 && 0 <= i151 && 2 <= i12 && 0 < a143 && iconst_2 = 2 && 0 <= i53
main_Load_1068(a157, i53, i168, i169, i170, iconst_2, i12, env, static) -{0,0}> main_Load_1184(a157, i53, i168, i169, i170, iconst_2, i12, env, static) :|: 0 <= i169 && 2 <= i12 && -1 <= i53 && 0 < a157 && 0 <= i170 && iconst_2 = 2 && 0 <= i53
main_Load_1184(a181, i210, i211, i212, i170, iconst_2, i12, env, static) -{0,0}> main_Load_1265(a181, i210, i211, i212, i170, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i212 && -1 <= i210 && 0 <= i170 && iconst_2 = 2 && 0 < a181
main_Load_1265(a205, i237, i238, i239, i170, iconst_2, i12, env, static) -{1,1}> main_LE_1268(a205, i239, i237, i238, i170, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i239 && 0 < a205 && 0 <= i170 && iconst_2 = 2
main_LE_1268(a205, iconst_0, i237, i238, i170, iconst_2, i12, env, static) -{0,0}> main_LE_1269(a205, iconst_0, i237, i238, i170, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && 0 < a205 && iconst_0 = 0 && 0 <= i170 && iconst_2 = 2
main_LE_1268(a205, i243, i237, i238, i170, iconst_2, i12, env, static) -{0,0}> main_LE_1270(a205, i243, i237, i238, i170, iconst_2, i12, env, static) :|: 0 <= i243 && 1 <= i243 && 2 <= i12 && 0 < a205 && 0 <= i170 && iconst_2 = 2
main_LE_1270(a205, i243, i237, i238, i170, iconst_2, i12, env, static) -{1,1}> main_Load_1272(a205, i237, i238, i243, i170, iconst_2, i12, env, static) :|: 1 <= i243 && 2 <= i12 && 0 < i243 && 0 < a205 && 0 <= i170 && iconst_2 = 2
main_Load_1272(a205, i237, i238, i243, i170, iconst_2, i12, env, static) -{1,1}> main_EQ_1274(a205, i238, i237, i243, i170, iconst_2, i12, env, static) :|: 1 <= i243 && 2 <= i12 && 0 < a205 && 0 <= i170 && iconst_2 = 2
main_EQ_1274(a205, i244, i237, i243, i170, iconst_2, i12, env, static) -{0,0}> main_EQ_1275(a205, i244, i237, i243, i170, iconst_2, i12, env, static) :|: 1 <= i243 && 2 <= i12 && 0 < a205 && 0 <= i170 && iconst_2 = 2
main_EQ_1274(a205, iconst_0, i237, i243, i170, iconst_2, i12, env, static) -{0,0}> main_EQ_1276(a205, iconst_0, i237, i243, i170, iconst_2, i12, env, static) :|: 1 <= i243 && 2 <= i12 && 0 < a205 && iconst_0 = 0 && 0 <= i170 && iconst_2 = 2
main_EQ_1275(a205, i244, i237, i243, i170, iconst_2, i12, env, static) -{1,1}> main_Load_1277(a205, i237, i244, i243, i170, iconst_2, i12, env, static) :|: 1 <= i243 && !(i244 = 0) && 2 <= i12 && 0 < a205 && 0 <= i170 && iconst_2 = 2
main_EQ_1276(a205, iconst_0, i237, i243, i170, iconst_2, i12, env, static) -{1,1}> main_Load_1278(a205, i237, iconst_0, i243, i170, iconst_2, i12, env, static) :|: 1 <= i243 && 2 <= i12 && 0 < a205 && iconst_0 = 0 && 0 <= i170 && iconst_2 = 2
main_Load_1277(a205, i237, i244, i243, i170, iconst_2, i12, env, static) -{1,1}> main_LE_1279(a205, i244, i237, i243, i170, iconst_2, i12, env, static) :|: 1 <= i243 && 2 <= i12 && 0 < a205 && 0 <= i170 && iconst_2 = 2
main_Load_1278(a205, i237, iconst_0, i243, i170, iconst_2, i12, env, static) -{1,1}> main_NE_1280(a205, iconst_0, i237, i243, i170, iconst_2, i12, env, static) :|: 1 <= i243 && 2 <= i12 && 0 < a205 && iconst_0 = 0 && 0 <= i170 && iconst_2 = 2
main_LE_1279(a205, i245, i237, i243, i170, iconst_2, i12, env, static) -{0,0}> main_LE_1281(a205, i245, i237, i243, i170, iconst_2, i12, env, static) :|: 1 <= i243 && 2 <= i12 && 0 < a205 && i245 <= -1 && 0 <= i170 && iconst_2 = 2
main_LE_1279(a205, i246, i237, i243, i170, iconst_2, i12, env, static) -{0,0}> main_LE_1282(a205, i246, i237, i243, i170, iconst_2, i12, env, static) :|: 1 <= i243 && 2 <= i12 && 0 < a205 && 1 <= i246 && 0 <= i170 && iconst_2 = 2
main_NE_1280(a205, iconst_0, i237, i243, i170, iconst_2, i12, env, static) -{0,0}> main_NE_1319(a205, iconst_0, i237, i243, i170, iconst_2, i12, env, static) :|: 1 <= i243 && 0 <= iconst_0 && 2 <= i12 && 0 < a205 && iconst_0 = 0 && 0 <= i170 && iconst_2 = 2
main_LE_1282(a205, i246, i237, i243, i170, iconst_2, i12, env, static) -{1,1}> main_Load_1306(a205, i237, i246, i243, i170, iconst_2, i12, env, static) :|: 1 <= i243 && 2 <= i12 && 0 < a205 && 0 < i246 && 1 <= i246 && 0 <= i170 && iconst_2 = 2
main_Load_1306(a205, i237, i246, i243, i170, iconst_2, i12, env, static) -{1,1}> main_LE_1309(a205, i237, i246, i243, i170, iconst_2, i12, env, static) :|: 1 <= i243 && 2 <= i12 && 0 < a205 && 1 <= i246 && 0 <= i170 && iconst_2 = 2
main_LE_1309(a205, i255, i246, i243, i170, iconst_2, i12, env, static) -{0,0}> main_LE_1311(a205, i255, i246, i243, i170, iconst_2, i12, env, static) :|: 1 <= i243 && 2 <= i12 && 0 < a205 && i255 <= 0 && 1 <= i246 && 0 <= i170 && iconst_2 = 2
main_LE_1309(a205, i256, i246, i243, i170, iconst_2, i12, env, static) -{0,0}> main_LE_1312(a205, i256, i246, i243, i170, iconst_2, i12, env, static) :|: 1 <= i243 && 2 <= i12 && 0 < a205 && 1 <= i256 && 1 <= i246 && 0 <= i170 && iconst_2 = 2
main_LE_1312(a205, i256, i246, i243, i170, iconst_2, i12, env, static) -{1,1}> main_Load_1315(a205, i256, i246, i243, i170, iconst_2, i12, env, static) :|: 1 <= i243 && 2 <= i12 && 0 < a205 && 0 < i256 && 1 <= i256 && 1 <= i246 && 0 <= i170 && iconst_2 = 2
main_Load_1315(a205, i256, i246, i243, i170, iconst_2, i12, env, static) -{1,1}> main_NE_1318(a205, i246, i256, i243, i170, iconst_2, i12, env, static) :|: 1 <= i243 && 2 <= i12 && 0 < a205 && 1 <= i256 && 1 <= i246 && 0 <= i170 && iconst_2 = 2
main_NE_1318(a205, i246, i256, i243, i170, iconst_2, i12, env, static) -{0,0}> main_NE_1319(a205, i246, i256, i243, i170, iconst_2, i12, env, static) :|: 1 <= i243 && 2 <= i12 && 0 < a205 && 1 <= i256 && 1 <= i246 && 0 <= i170 && iconst_2 = 2 && 0 <= i246
main_NE_1319(a221, i266, i261, i243, i170, iconst_2, i12, env, static) -{0,0}> main_NE_1320(a221, i266, i261, i243, i170, iconst_2, i12, env, static) :|: 1 <= i243 && 2 <= i12 && 0 < a221 && 1 <= i266 && 0 <= i170 && iconst_2 = 2 && 0 <= i266
main_NE_1319(a221, iconst_0, i261, i243, i170, iconst_2, i12, env, static) -{0,0}> main_NE_1321(a221, iconst_0, i261, i243, i170, iconst_2, i12, env, static) :|: 1 <= i243 && 0 <= iconst_0 && 2 <= i12 && iconst_0 = 0 && 0 < a221 && 0 <= i170 && iconst_2 = 2
main_NE_1320(a221, i266, i261, i243, i170, iconst_2, i12, env, static) -{1,1}> main_Inc_1322(a221, i261, i266, i243, i170, iconst_2, i12, env, static) :|: 1 <= i243 && 2 <= i12 && 0 < a221 && 1 <= i266 && 0 < i266 && 0 <= i170 && iconst_2 = 2
main_NE_1321(a221, iconst_0, i261, i243, i170, iconst_2, i12, env, static) -{1,1}> main_Inc_1323(a221, i261, i243, i170, iconst_2, i12, env, static) :|: 1 <= i243 && 2 <= i12 && iconst_0 = 0 && 0 < a221 && 0 <= i170 && iconst_2 = 2
main_Inc_1322(a221, i261, i266, i243, i170, iconst_2, i12, env, static) -{1,1}> main_Inc_1324(a221, i267, i266, i243, i170, iconst_2, i12, env, static) :|: 1 <= i243 && 2 <= i12 && 0 < a221 && 1 <= i266 && 0 <= i170 && iconst_2 = 2 && i261 + -1 = i267
main_Inc_1323(a221, i261, i243, i170, iconst_2, i12, env, static) -{1,1}> main_Load_1325(a221, i261, i243, i268, iconst_2, i12, env, static) :|: 1 <= i268 && 1 <= i243 && 2 <= i12 && 0 < a221 && 0 <= i170 && iconst_2 = 2 && i170 + 1 = i268
main_Inc_1324(a221, i267, i266, i243, i170, iconst_2, i12, env, static) -{1,1}> main_JMP_1326(a221, i267, i269, i243, i170, iconst_2, i12, env, static) :|: 1 <= i243 && 2 <= i12 && 0 <= i269 && 0 < a221 && 1 <= i266 && 0 <= i170 && iconst_2 = 2 && i266 + -1 = i269
main_Load_1325(a221, i261, i243, i268, iconst_2, i12, env, static) -{1,1}> main_Store_1327(a221, i243, i261, i268, iconst_2, i12, env, static) :|: 1 <= i268 && 1 <= i243 && 2 <= i12 && 0 < a221 && iconst_2 = 2
main_JMP_1326(a221, i267, i269, i243, i170, iconst_2, i12, env, static) -{1,1}> main_Load_1328(a221, i267, i269, i243, i170, iconst_2, i12, env, static) :|: 1 <= i243 && 2 <= i12 && 0 <= i269 && 0 < a221 && 0 <= i170 && iconst_2 = 2
main_Store_1327(a221, i243, i261, i268, iconst_2, i12, env, static) -{1,1}> main_JMP_1329(a221, i261, i243, i268, iconst_2, i12, env, static) :|: 1 <= i268 && 1 <= i243 && 2 <= i12 && 0 < a221 && iconst_2 = 2
main_Load_1328(a221, i267, i269, i243, i170, iconst_2, i12, env, static) -{0,0}> main_Load_1265(a221, i267, i269, i243, i170, iconst_2, i12, env, static) :|: 0 <= i243 && 1 <= i243 && 2 <= i12 && 0 <= i269 && 0 < a221 && 0 <= i170 && iconst_2 = 2
main_JMP_1329(a221, i261, i243, i268, iconst_2, i12, env, static) -{1,1}> main_Load_1330(a221, i261, i243, i268, iconst_2, i12, env, static) :|: 1 <= i268 && 1 <= i243 && 2 <= i12 && 0 < a221 && iconst_2 = 2
main_Load_1330(a221, i261, i243, i268, iconst_2, i12, env, static) -{0,0}> main_Load_1265(a221, i261, i243, i243, i268, iconst_2, i12, env, static) :|: 1 <= i268 && 0 <= i243 && 1 <= i243 && 0 <= i268 && 2 <= i12 && 0 < a221 && iconst_2 = 2

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

obtained
main_Load_2(o2, env, static) -{23,23}> random_ArrayAccess_72(o2, 0, i5', env, static'3) :|: static'3 <= static'2 + o2 && 0 <= i5' && static'2 <= static'1 + 0 && 0 < o2 && 0 <= 2 && i5' < o2 && 0 <= o2 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && -1 * static'3 <= 0 && 0 <= static && 0 < 1 && 0 < 2 && 0 <= 1 && 0 <= static'3
by chaining
main_Load_2(o2, env, static) -{0,0}> main_Load_3(o2, env, static) :|: 0 < o2
main_Load_3(o2, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_5(o2, env, static) :|: 0 < o2
langle_clinit_rangle_ConstantStackPush_5(o2, env, static) -{1,1}> langle_clinit_rangle_ArrayCreate_12(iconst_0, o2, env, static) :|: 0 < o2 && iconst_0 = 0
langle_clinit_rangle_ArrayCreate_12(iconst_0, o2, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_13(a2, o2, iconst_0, env, static) :|: a2 = 2 && 0 < o2 && iconst_0 = 0 && 0 < a2
langle_clinit_rangle_FieldAccess_13(a2, o2, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_16(o2, env, static') :|: 0 <= a2 && 0 < o2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2
langle_clinit_rangle_New_16(o2, env, static) -{0,0}> langle_clinit_rangle_New_18(o2, env, static) :|: 0 < o2
langle_clinit_rangle_New_18(o2, env, static) -{0,0}> langle_clinit_rangle_New_19(o2, env, static) :|: 0 < o2 && 0 <= static
langle_clinit_rangle_New_19(o2, env, static) -{1,1}> langle_clinit_rangle_Duplicate_20(o4, o2, env, static) :|: o4 = 1 && 0 < o2 && 0 < o4
langle_clinit_rangle_Duplicate_20(o4, o2, env, static) -{1,1}> langle_clinit_rangle_ConstantStackPush_22(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_clinit_rangle_ConstantStackPush_22(o4, o2, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_23(o4, NULL, o2, env, static) :|: NULL = 0 && 0 < o2 && 0 < o4
langle_clinit_rangle_InvokeMethod_23(o4, NULL, o2, env, static) -{1,1}> langle_init_rangle_Load_25(o4, o2, env, static) :|: NULL = 0 && 0 < o2 && 0 < o4
langle_init_rangle_Load_25(o4, o2, env, static) -{1,1}> langle_init_rangle_InvokeMethod_27(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_InvokeMethod_27(o4, o2, env, static) -{1,1}> langle_init_rangle_Load_29(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Load_29(o4, o2, env, static) -{1,1}> langle_init_rangle_InvokeMethod_31(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_InvokeMethod_31(o4, o2, env, static) -{1,1}> langle_init_rangle_Return_34(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Return_34(o4, o2, env, static) -{1,1}> langle_init_rangle_Return_36(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Return_36(o4, o2, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_39(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_clinit_rangle_FieldAccess_39(o4, o2, env, static) -{1,1}> langle_clinit_rangle_Return_40(o2, env, static') :|: 0 < o2 && 0 <= o4 && 0 < o4 && 0 <= static && static' <= static + o4
langle_clinit_rangle_Return_40(o2, env, static) -{1,1}> main_Load_47(o2, env, static) :|: 0 < o2
main_Load_47(o2, env, static) -{0,0}> main_Load_49(o2, env, static) :|: 0 < o2
main_Load_49(o2, env, static) -{0,0}> main_Load_52(o2, env, static) :|: 0 < o2 && 0 <= static
main_Load_52(o2, env, static) -{0,0}> main_Load_54(o2, env, static) :|: 0 < o2
main_Load_54(o2, env, static) -{0,0}> main_Load_58(o2, env, static) :|: 0 < o2
main_Load_58(o2, env, static) -{1,1}> main_FieldAccess_59(o2, env, static) :|: 0 < o2
main_FieldAccess_59(o2, env, static) -{0,0}> main_FieldAccess_60(o2, env, static) :|: 0 < o2
main_FieldAccess_60(o2, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_61(o2, NULL, iconst_0, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
langle_clinit_rangle_ConstantStackPush_61(o2, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_62(iconst_0, o2, NULL, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
langle_clinit_rangle_FieldAccess_62(iconst_0, o2, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_63(o2, NULL, iconst_0, env, static') :|: NULL = 0 && 0 < o2 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0
langle_clinit_rangle_Return_63(o2, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_64(o2, NULL, iconst_0, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
main_FieldAccess_64(o2, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_65(o2, iconst_0, env, static') :|: NULL = 0 && 0 < o2 && 0 <= o2 && iconst_0 = 0 && 0 <= static && static' <= static + o2
main_InvokeMethod_65(o2, iconst_0, env, static) -{1,1}> random_FieldAccess_66(o2, iconst_0, env, static) :|: 0 < o2 && iconst_0 = 0
random_FieldAccess_66(o2, iconst_0, env, static) -{1,1}> random_FieldAccess_70(o2, iconst_0, env, static) :|: 0 < o2 && o2 <= static && 0 <= o2 && iconst_0 = 0 && 0 <= static
random_FieldAccess_70(o2, iconst_0, env, static) -{1,1}> random_ArrayAccess_71(o2, iconst_0, env, static) :|: 0 < o2 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static
random_ArrayAccess_71(a6, iconst_0, env, static) -{0,0}> random_ArrayAccess_72(a6, iconst_0, i5, env, static) :|: i5 < a6 && iconst_0 = 0 && 0 < a6 && 0 <= i5

obtained
random_ArrayAccess_72(a6, 0, i6, env, static) -{7,7}> random_InvokeMethod_97(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_72(a6, iconst_0, i6, env, static) -{0,0}> random_ArrayAccess_74(a6, iconst_0, i6, env, static) :|: 0 <= i6 && 1 <= i6 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_74(a6, iconst_0, i6, env, static) -{1,1}> random_Store_78(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && o8 < a6 && iconst_0 = 0 && 0 < a6
random_Store_78(o8, a6, iconst_0, i6, env, static) -{1,1}> random_FieldAccess_81(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_0 = 0 && 0 < a6
random_FieldAccess_81(o8, a6, iconst_0, i6, env, static) -{1,1}> random_ConstantStackPush_85(iconst_0, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && 0 < a6 && iconst_0 <= static
random_ConstantStackPush_85(iconst_0, o8, a6, i6, env, static) -{1,1}> random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i6, env, static) -{1,1}> random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i6, env, static) -{1,1}> random_Load_94(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_94(o8, a6, iconst_1, i6, env, static) -{1,1}> random_InvokeMethod_97(o8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && 0 < a6

obtained
random_InvokeMethod_97(o11, a6, 1, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i7', i6, env, static) :|: 0 <= a6 && 0 <= i7' && i7' <= o11 && 0 < a6 && a6 <= static && 0 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 <= o11 && 0 < o11
by chaining
random_InvokeMethod_97(o11, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_98(o11, a6, iconst_1, i6, env, static) :|: 0 <= o11 && 1 <= i6 && iconst_1 = 1 && 0 < o11 && 0 < a6
random_InvokeMethod_98(o11, a6, iconst_1, i6, env, static) -{1,1}> random_Return_101(i7, a6, iconst_1, i6, env, static) :|: 1 <= i6 && i7 <= o11 && iconst_1 = 1 && 0 < o11 && 0 < a6 && 0 <= i7
random_Return_101(i7, a6, iconst_1, i6, env, static) -{1,1}> main_Store_115(a6, i7, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i7
main_Store_115(a6, i7, iconst_1, i6, env, static) -{1,1}> main_InvokeMethod_119(a6, i7, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i7
main_InvokeMethod_119(a6, i7, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_122(a6, i7, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i7
random_FieldAccess_122(a6, i7, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_141(a6, i7, iconst_1, i6, env, static) :|: 0 <= a6 && 1 <= i6 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i7
random_FieldAccess_141(a6, i7, iconst_1, i6, env, static) -{1,1}> random_ArrayAccess_143(a6, iconst_1, i7, i6, env, static) :|: -1 * static <= iconst_1 && 1 <= i6 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i7

obtained
random_ArrayAccess_143(a6, 1, i7, i12, env, static) -{7,7}> random_InvokeMethod_217(o25', a6, i7, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i7 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2
by chaining
random_ArrayAccess_143(a6, iconst_1, i7, i12, env, static) -{0,0}> random_ArrayAccess_147(a6, iconst_1, i7, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && 1 <= i12
random_ArrayAccess_147(a6, iconst_1, i7, i12, env, static) -{1,1}> random_Store_151(o25, a6, i7, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && o25 < a6 && 0 < a6 && 0 <= i7 && 0 <= o25
random_Store_151(o25, a6, i7, iconst_1, i12, env, static) -{1,1}> random_FieldAccess_153(o25, a6, i7, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && 0 <= o25
random_FieldAccess_153(o25, a6, i7, iconst_1, i12, env, static) -{1,1}> random_ConstantStackPush_168(iconst_1, o25, a6, i7, i12, env, static) :|: -1 * static <= iconst_1 && 2 <= i12 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i7 && 0 <= o25
random_ConstantStackPush_168(iconst_1, o25, a6, i7, i12, env, static) -{1,1}> random_IntArithmetic_177(iconst_1, o25, a6, i7, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && 0 <= o25
random_IntArithmetic_177(iconst_1, o25, a6, i7, i12, env, static) -{1,1}> random_FieldAccess_189(iconst_2, o25, a6, i7, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && 0 <= o25 && iconst_2 = 2
random_FieldAccess_189(iconst_2, o25, a6, i7, iconst_1, i12, env, static) -{1,1}> random_Load_204(o25, a6, i7, iconst_2, i12, env, static') :|: 2 <= i12 && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i7 && 0 <= o25 && iconst_2 = 2 && static' <= static + iconst_2
random_Load_204(o25, a6, i7, iconst_2, i12, env, static) -{1,1}> random_InvokeMethod_217(o25, a6, i7, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i7 && 0 <= o25 && iconst_2 = 2

obtained
random_InvokeMethod_217(o50, a6, i7, 2, i12, env, static) -{7,7}> main_Load_1265(a6, i7, i20', i20', 0, 2, i12, env, static) :|: 0 <= o50 && 0 < a6 && i20' <= o50 && 0 <= 2 && 0 <= 0 && -1 <= i7 && 0 < o50 && 2 <= i12 && 0 <= i20' && 0 <= 1 && 0 <= i7
by chaining
random_InvokeMethod_217(o50, a6, i7, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_225(o50, a6, i7, iconst_2, i12, env, static) :|: 0 < o50 && 2 <= i12 && 0 <= o50 && 0 < a6 && 0 <= i7 && iconst_2 = 2
random_InvokeMethod_225(o50, a6, i7, iconst_2, i12, env, static) -{1,1}> random_Return_237(i20, a6, i7, iconst_2, i12, env, static) :|: 0 <= i20 && 0 < o50 && 2 <= i12 && 0 < a6 && 0 <= i7 && i20 <= o50 && iconst_2 = 2
random_Return_237(i20, a6, i7, iconst_2, i12, env, static) -{1,1}> main_Store_242(a6, i20, i7, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i7 && iconst_2 = 2
main_Store_242(a6, i20, i7, iconst_2, i12, env, static) -{1,1}> main_Load_246(a6, i7, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i7 && iconst_2 = 2
main_Load_246(a6, i7, i20, iconst_2, i12, env, static) -{1,1}> main_Store_257(a6, i20, i7, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i7 && iconst_2 = 2
main_Store_257(a6, i20, i7, iconst_2, i12, env, static) -{1,1}> main_ConstantStackPush_269(a6, i7, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i7 && iconst_2 = 2
main_ConstantStackPush_269(a6, i7, i20, iconst_2, i12, env, static) -{1,1}> main_Store_294(a6, iconst_0, i7, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && 0 <= i7 && iconst_2 = 2
main_Store_294(a6, iconst_0, i7, i20, iconst_2, i12, env, static) -{1,1}> main_Load_298(a6, i7, i20, iconst_0, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && 0 <= i7 && iconst_2 = 2
main_Load_298(a6, i7, i20, iconst_0, iconst_2, i12, env, static) -{0,0}> main_Load_776(a6, i7, i20, i20, iconst_0, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && 0 <= i7 && iconst_2 = 2
main_Load_776(a109, i53, i54, i55, iconst_0, iconst_2, i12, env, static) -{0,0}> main_Load_868(a109, i53, i54, i55, iconst_0, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 0 <= i55 && 2 <= i12 && iconst_0 <= 1 && iconst_0 = 0 && 0 <= i54 && iconst_2 = 2 && 0 <= i53 && 0 < a109
main_Load_868(a129, i53, i117, i118, i119, iconst_2, i12, env, static) -{0,0}> main_Load_1004(a129, i53, i117, i118, i119, iconst_2, i12, env, static) :|: 2 <= i12 && i119 <= 1 && 0 <= i118 && i119 <= 2 && 0 <= i119 && iconst_2 = 2 && 0 <= i53 && 0 < a129 && 0 <= i117
main_Load_1004(a143, i53, i149, i150, i151, iconst_2, i12, env, static) -{0,0}> main_Load_1068(a143, i53, i149, i150, i151, iconst_2, i12, env, static) :|: 0 <= i150 && i151 <= 2 && 0 <= i151 && 2 <= i12 && 0 < a143 && iconst_2 = 2 && 0 <= i53
main_Load_1068(a157, i53, i168, i169, i170, iconst_2, i12, env, static) -{0,0}> main_Load_1184(a157, i53, i168, i169, i170, iconst_2, i12, env, static) :|: 0 <= i169 && 2 <= i12 && -1 <= i53 && 0 < a157 && 0 <= i170 && iconst_2 = 2 && 0 <= i53
main_Load_1184(a181, i210, i211, i212, i170, iconst_2, i12, env, static) -{0,0}> main_Load_1265(a181, i210, i211, i212, i170, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i212 && -1 <= i210 && 0 <= i170 && iconst_2 = 2 && 0 < a181

obtained
main_LE_1268(a205, i243, i237, i238, i170, 2, i12, env, static) -{2,2}> main_EQ_1274(a205, i238, i237, i243, i170, 2, i12, env, static) :|: 1 <= i243 && 0 <= i243 && 0 <= i170 && 0 < i243 && 0 < a205 && 2 <= i12
by chaining
main_LE_1268(a205, i243, i237, i238, i170, iconst_2, i12, env, static) -{0,0}> main_LE_1270(a205, i243, i237, i238, i170, iconst_2, i12, env, static) :|: 0 <= i243 && 1 <= i243 && 2 <= i12 && 0 < a205 && 0 <= i170 && iconst_2 = 2
main_LE_1270(a205, i243, i237, i238, i170, iconst_2, i12, env, static) -{1,1}> main_Load_1272(a205, i237, i238, i243, i170, iconst_2, i12, env, static) :|: 1 <= i243 && 2 <= i12 && 0 < i243 && 0 < a205 && 0 <= i170 && iconst_2 = 2
main_Load_1272(a205, i237, i238, i243, i170, iconst_2, i12, env, static) -{1,1}> main_EQ_1274(a205, i238, i237, i243, i170, iconst_2, i12, env, static) :|: 1 <= i243 && 2 <= i12 && 0 < a205 && 0 <= i170 && iconst_2 = 2

obtained
main_EQ_1274(a205, 0, i237, i243, i170, 2, i12, env, static) -{2,2}> main_NE_1319(a205, 0, i237, i243, i170, 2, i12, env, static) :|: 0 < a205 && 0 <= i170 && 2 <= i12 && 1 <= i243 && 0 <= 0
by chaining
main_EQ_1274(a205, iconst_0, i237, i243, i170, iconst_2, i12, env, static) -{0,0}> main_EQ_1276(a205, iconst_0, i237, i243, i170, iconst_2, i12, env, static) :|: 1 <= i243 && 2 <= i12 && 0 < a205 && iconst_0 = 0 && 0 <= i170 && iconst_2 = 2
main_EQ_1276(a205, iconst_0, i237, i243, i170, iconst_2, i12, env, static) -{1,1}> main_Load_1278(a205, i237, iconst_0, i243, i170, iconst_2, i12, env, static) :|: 1 <= i243 && 2 <= i12 && 0 < a205 && iconst_0 = 0 && 0 <= i170 && iconst_2 = 2
main_Load_1278(a205, i237, iconst_0, i243, i170, iconst_2, i12, env, static) -{1,1}> main_NE_1280(a205, iconst_0, i237, i243, i170, iconst_2, i12, env, static) :|: 1 <= i243 && 2 <= i12 && 0 < a205 && iconst_0 = 0 && 0 <= i170 && iconst_2 = 2
main_NE_1280(a205, iconst_0, i237, i243, i170, iconst_2, i12, env, static) -{0,0}> main_NE_1319(a205, iconst_0, i237, i243, i170, iconst_2, i12, env, static) :|: 1 <= i243 && 0 <= iconst_0 && 2 <= i12 && 0 < a205 && iconst_0 = 0 && 0 <= i170 && iconst_2 = 2

obtained
main_NE_1319(a221, 0, i261, i243, i170, 2, i12, env, static) -{5,5}> main_Load_1265(a221, i261, i243, i243, i268', 2, i12, env, static) :|: 0 <= 0 && i170 + 1 = i268' && 0 < a221 && 1 <= i243 && 2 <= i12 && 0 <= i268' && 0 <= i170 && 1 <= i268' && 0 <= i243
by chaining
main_NE_1319(a221, iconst_0, i261, i243, i170, iconst_2, i12, env, static) -{0,0}> main_NE_1321(a221, iconst_0, i261, i243, i170, iconst_2, i12, env, static) :|: 1 <= i243 && 0 <= iconst_0 && 2 <= i12 && iconst_0 = 0 && 0 < a221 && 0 <= i170 && iconst_2 = 2
main_NE_1321(a221, iconst_0, i261, i243, i170, iconst_2, i12, env, static) -{1,1}> main_Inc_1323(a221, i261, i243, i170, iconst_2, i12, env, static) :|: 1 <= i243 && 2 <= i12 && iconst_0 = 0 && 0 < a221 && 0 <= i170 && iconst_2 = 2
main_Inc_1323(a221, i261, i243, i170, iconst_2, i12, env, static) -{1,1}> main_Load_1325(a221, i261, i243, i268, iconst_2, i12, env, static) :|: 1 <= i268 && 1 <= i243 && 2 <= i12 && 0 < a221 && 0 <= i170 && iconst_2 = 2 && i170 + 1 = i268
main_Load_1325(a221, i261, i243, i268, iconst_2, i12, env, static) -{1,1}> main_Store_1327(a221, i243, i261, i268, iconst_2, i12, env, static) :|: 1 <= i268 && 1 <= i243 && 2 <= i12 && 0 < a221 && iconst_2 = 2
main_Store_1327(a221, i243, i261, i268, iconst_2, i12, env, static) -{1,1}> main_JMP_1329(a221, i261, i243, i268, iconst_2, i12, env, static) :|: 1 <= i268 && 1 <= i243 && 2 <= i12 && 0 < a221 && iconst_2 = 2
main_JMP_1329(a221, i261, i243, i268, iconst_2, i12, env, static) -{1,1}> main_Load_1330(a221, i261, i243, i268, iconst_2, i12, env, static) :|: 1 <= i268 && 1 <= i243 && 2 <= i12 && 0 < a221 && iconst_2 = 2
main_Load_1330(a221, i261, i243, i268, iconst_2, i12, env, static) -{0,0}> main_Load_1265(a221, i261, i243, i243, i268, iconst_2, i12, env, static) :|: 1 <= i268 && 0 <= i243 && 1 <= i243 && 0 <= i268 && 2 <= i12 && 0 < a221 && iconst_2 = 2

obtained
main_NE_1319(a221, i266, i261, i243, i170, 2, i12, env, static) -{4,4}> main_Load_1265(a221, i267', i269', i243, i170, 2, i12, env, static) :|: i266 + -1 = i269' && 0 <= i266 && 0 <= i170 && 0 < i266 && 0 < a221 && 1 <= i266 && 0 <= i269' && 1 <= i243 && 2 <= i12 && 0 <= i243 && i261 + -1 = i267'
by chaining
main_NE_1319(a221, i266, i261, i243, i170, iconst_2, i12, env, static) -{0,0}> main_NE_1320(a221, i266, i261, i243, i170, iconst_2, i12, env, static) :|: 1 <= i243 && 2 <= i12 && 0 < a221 && 1 <= i266 && 0 <= i170 && iconst_2 = 2 && 0 <= i266
main_NE_1320(a221, i266, i261, i243, i170, iconst_2, i12, env, static) -{1,1}> main_Inc_1322(a221, i261, i266, i243, i170, iconst_2, i12, env, static) :|: 1 <= i243 && 2 <= i12 && 0 < a221 && 1 <= i266 && 0 < i266 && 0 <= i170 && iconst_2 = 2
main_Inc_1322(a221, i261, i266, i243, i170, iconst_2, i12, env, static) -{1,1}> main_Inc_1324(a221, i267, i266, i243, i170, iconst_2, i12, env, static) :|: 1 <= i243 && 2 <= i12 && 0 < a221 && 1 <= i266 && 0 <= i170 && iconst_2 = 2 && i261 + -1 = i267
main_Inc_1324(a221, i267, i266, i243, i170, iconst_2, i12, env, static) -{1,1}> main_JMP_1326(a221, i267, i269, i243, i170, iconst_2, i12, env, static) :|: 1 <= i243 && 2 <= i12 && 0 <= i269 && 0 < a221 && 1 <= i266 && 0 <= i170 && iconst_2 = 2 && i266 + -1 = i269
main_JMP_1326(a221, i267, i269, i243, i170, iconst_2, i12, env, static) -{1,1}> main_Load_1328(a221, i267, i269, i243, i170, iconst_2, i12, env, static) :|: 1 <= i243 && 2 <= i12 && 0 <= i269 && 0 < a221 && 0 <= i170 && iconst_2 = 2
main_Load_1328(a221, i267, i269, i243, i170, iconst_2, i12, env, static) -{0,0}> main_Load_1265(a221, i267, i269, i243, i170, iconst_2, i12, env, static) :|: 0 <= i243 && 1 <= i243 && 2 <= i12 && 0 <= i269 && 0 < a221 && 0 <= i170 && iconst_2 = 2

obtained
main_EQ_1274(a205, i244, i237, i243, i170, 2, i12, env, static) -{2,2}> main_LE_1279(a205, i244, i237, i243, i170, 2, i12, env, static) :|: !(i244 = 0) && 2 <= i12 && 0 <= i170 && 1 <= i243 && 0 < a205
by chaining
main_EQ_1274(a205, i244, i237, i243, i170, iconst_2, i12, env, static) -{0,0}> main_EQ_1275(a205, i244, i237, i243, i170, iconst_2, i12, env, static) :|: 1 <= i243 && 2 <= i12 && 0 < a205 && 0 <= i170 && iconst_2 = 2
main_EQ_1275(a205, i244, i237, i243, i170, iconst_2, i12, env, static) -{1,1}> main_Load_1277(a205, i237, i244, i243, i170, iconst_2, i12, env, static) :|: 1 <= i243 && !(i244 = 0) && 2 <= i12 && 0 < a205 && 0 <= i170 && iconst_2 = 2
main_Load_1277(a205, i237, i244, i243, i170, iconst_2, i12, env, static) -{1,1}> main_LE_1279(a205, i244, i237, i243, i170, iconst_2, i12, env, static) :|: 1 <= i243 && 2 <= i12 && 0 < a205 && 0 <= i170 && iconst_2 = 2

obtained
main_LE_1279(a205, i246, i237, i243, i170, 2, i12, env, static) -{2,2}> main_LE_1309(a205, i237, i246, i243, i170, 2, i12, env, static) :|: 2 <= i12 && 1 <= i243 && 0 <= i170 && 0 < i246 && 1 <= i246 && 0 < a205
by chaining
main_LE_1279(a205, i246, i237, i243, i170, iconst_2, i12, env, static) -{0,0}> main_LE_1282(a205, i246, i237, i243, i170, iconst_2, i12, env, static) :|: 1 <= i243 && 2 <= i12 && 0 < a205 && 1 <= i246 && 0 <= i170 && iconst_2 = 2
main_LE_1282(a205, i246, i237, i243, i170, iconst_2, i12, env, static) -{1,1}> main_Load_1306(a205, i237, i246, i243, i170, iconst_2, i12, env, static) :|: 1 <= i243 && 2 <= i12 && 0 < a205 && 0 < i246 && 1 <= i246 && 0 <= i170 && iconst_2 = 2
main_Load_1306(a205, i237, i246, i243, i170, iconst_2, i12, env, static) -{1,1}> main_LE_1309(a205, i237, i246, i243, i170, iconst_2, i12, env, static) :|: 1 <= i243 && 2 <= i12 && 0 < a205 && 1 <= i246 && 0 <= i170 && iconst_2 = 2

obtained
main_LE_1309(a205, i256, i246, i243, i170, 2, i12, env, static) -{2,2}> main_NE_1319(a205, i246, i256, i243, i170, 2, i12, env, static) :|: 1 <= i256 && 0 <= i246 && 0 < a205 && 1 <= i246 && 0 <= i170 && 0 < i256 && 2 <= i12 && 1 <= i243
by chaining
main_LE_1309(a205, i256, i246, i243, i170, iconst_2, i12, env, static) -{0,0}> main_LE_1312(a205, i256, i246, i243, i170, iconst_2, i12, env, static) :|: 1 <= i243 && 2 <= i12 && 0 < a205 && 1 <= i256 && 1 <= i246 && 0 <= i170 && iconst_2 = 2
main_LE_1312(a205, i256, i246, i243, i170, iconst_2, i12, env, static) -{1,1}> main_Load_1315(a205, i256, i246, i243, i170, iconst_2, i12, env, static) :|: 1 <= i243 && 2 <= i12 && 0 < a205 && 0 < i256 && 1 <= i256 && 1 <= i246 && 0 <= i170 && iconst_2 = 2
main_Load_1315(a205, i256, i246, i243, i170, iconst_2, i12, env, static) -{1,1}> main_NE_1318(a205, i246, i256, i243, i170, iconst_2, i12, env, static) :|: 1 <= i243 && 2 <= i12 && 0 < a205 && 1 <= i256 && 1 <= i246 && 0 <= i170 && iconst_2 = 2
main_NE_1318(a205, i246, i256, i243, i170, iconst_2, i12, env, static) -{0,0}> main_NE_1319(a205, i246, i256, i243, i170, iconst_2, i12, env, static) :|: 1 <= i243 && 2 <= i12 && 0 < a205 && 1 <= i256 && 1 <= i246 && 0 <= i170 && iconst_2 = 2 && 0 <= i246

(8) Obligation:

IntTrs with 20 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_2(o2, env, static) -{23,23}> random_ArrayAccess_72(o2, 0, i5', env, static'3) :|: static'3 <= static'2 + o2 && 0 <= i5' && static'2 <= static'1 + 0 && 0 < o2 && 0 <= 2 && i5' < o2 && 0 <= o2 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && -1 * static'3 <= 0 && 0 <= static && 0 < 1 && 0 < 2 && 0 <= 1 && 0 <= static'3
random_ArrayAccess_72(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_73(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_72(a6, 0, i6, env, static) -{7,7}> random_InvokeMethod_97(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_97(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_99(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
random_InvokeMethod_97(o11, a6, 1, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i7', i6, env, static) :|: 0 <= a6 && 0 <= i7' && i7' <= o11 && 0 < a6 && a6 <= static && 0 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 <= o11 && 0 < o11
random_ArrayAccess_143(a6, iconst_1, i7, iconst_1, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i7, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i7
random_ArrayAccess_143(a6, 1, i7, i12, env, static) -{7,7}> random_InvokeMethod_217(o25', a6, i7, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i7 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2
random_InvokeMethod_217(NULL, a6, i7, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_226(NULL, a6, i7, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i7 && iconst_2 = 2
random_InvokeMethod_217(o50, a6, i7, 2, i12, env, static) -{7,7}> main_Load_1265(a6, i7, i20', i20', 0, 2, i12, env, static) :|: 0 <= o50 && 0 < a6 && i20' <= o50 && 0 <= 2 && 0 <= 0 && -1 <= i7 && 0 < o50 && 2 <= i12 && 0 <= i20' && 0 <= 1 && 0 <= i7
main_Load_1265(a205, i237, i238, i239, i170, iconst_2, i12, env, static) -{1,1}> main_LE_1268(a205, i239, i237, i238, i170, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i239 && 0 < a205 && 0 <= i170 && iconst_2 = 2
main_LE_1268(a205, iconst_0, i237, i238, i170, iconst_2, i12, env, static) -{0,0}> main_LE_1269(a205, iconst_0, i237, i238, i170, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && 0 < a205 && iconst_0 = 0 && 0 <= i170 && iconst_2 = 2
main_LE_1268(a205, i243, i237, i238, i170, 2, i12, env, static) -{2,2}> main_EQ_1274(a205, i238, i237, i243, i170, 2, i12, env, static) :|: 1 <= i243 && 0 <= i243 && 0 <= i170 && 0 < i243 && 0 < a205 && 2 <= i12
main_EQ_1274(a205, 0, i237, i243, i170, 2, i12, env, static) -{2,2}> main_NE_1319(a205, 0, i237, i243, i170, 2, i12, env, static) :|: 0 < a205 && 0 <= i170 && 2 <= i12 && 1 <= i243 && 0 <= 0
main_NE_1319(a221, 0, i261, i243, i170, 2, i12, env, static) -{5,5}> main_Load_1265(a221, i261, i243, i243, i268', 2, i12, env, static) :|: 0 <= 0 && i170 + 1 = i268' && 0 < a221 && 1 <= i243 && 2 <= i12 && 0 <= i268' && 0 <= i170 && 1 <= i268' && 0 <= i243
main_NE_1319(a221, i266, i261, i243, i170, 2, i12, env, static) -{4,4}> main_Load_1265(a221, i267', i269', i243, i170, 2, i12, env, static) :|: i266 + -1 = i269' && 0 <= i266 && 0 <= i170 && 0 < i266 && 0 < a221 && 1 <= i266 && 0 <= i269' && 1 <= i243 && 2 <= i12 && 0 <= i243 && i261 + -1 = i267'
main_EQ_1274(a205, i244, i237, i243, i170, 2, i12, env, static) -{2,2}> main_LE_1279(a205, i244, i237, i243, i170, 2, i12, env, static) :|: !(i244 = 0) && 2 <= i12 && 0 <= i170 && 1 <= i243 && 0 < a205
main_LE_1279(a205, i245, i237, i243, i170, iconst_2, i12, env, static) -{0,0}> main_LE_1281(a205, i245, i237, i243, i170, iconst_2, i12, env, static) :|: 1 <= i243 && 2 <= i12 && 0 < a205 && i245 <= -1 && 0 <= i170 && iconst_2 = 2
main_LE_1279(a205, i246, i237, i243, i170, 2, i12, env, static) -{2,2}> main_LE_1309(a205, i237, i246, i243, i170, 2, i12, env, static) :|: 2 <= i12 && 1 <= i243 && 0 <= i170 && 0 < i246 && 1 <= i246 && 0 < a205
main_LE_1309(a205, i255, i246, i243, i170, iconst_2, i12, env, static) -{0,0}> main_LE_1311(a205, i255, i246, i243, i170, iconst_2, i12, env, static) :|: 1 <= i243 && 2 <= i12 && 0 < a205 && i255 <= 0 && 1 <= i246 && 0 <= i170 && iconst_2 = 2
main_LE_1309(a205, i256, i246, i243, i170, 2, i12, env, static) -{2,2}> main_NE_1319(a205, i246, i256, i243, i170, 2, i12, env, static) :|: 1 <= i256 && 0 <= i246 && 0 < a205 && 1 <= i246 && 0 <= i170 && 0 < i256 && 2 <= i12 && 1 <= i243

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

Moved arithmethic from lhss to constraints.

random_InvokeMethod_97(o11, a6, 1, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i7', i6, env, static) :|: 0 <= a6 && 0 <= i7' && i7' <= o11 && 0 < a6 && a6 <= static && 0 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 <= o11 && 0 < o11
was transformed to
random_InvokeMethod_97(o11, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i7', i6, env, static) :|: 0 <= a6 && 0 <= i7' && i7' <= o11 && 0 < a6 && a6 <= static && 0 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 <= o11 && 0 < o11 && x = 1

main_EQ_1274(a205, 0, i237, i243, i170, 2, i12, env, static) -{2,2}> main_NE_1319(a205, 0, i237, i243, i170, 2, i12, env, static) :|: 0 < a205 && 0 <= i170 && 2 <= i12 && 1 <= i243 && 0 <= 0
was transformed to
main_EQ_1274(a205, x, i237, i243, i170, x', i12, env, static) -{2,2}> main_NE_1319(a205, 0, i237, i243, i170, 2, i12, env, static) :|: 0 < a205 && 0 <= i170 && 2 <= i12 && 1 <= i243 && 0 <= 0 && x = 0 && x' = 2

main_NE_1319(a221, i266, i261, i243, i170, 2, i12, env, static) -{4,4}> main_Load_1265(a221, i267', i269', i243, i170, 2, i12, env, static) :|: i266 + -1 = i269' && 0 <= i266 && 0 <= i170 && 0 < i266 && 0 < a221 && 1 <= i266 && 0 <= i269' && 1 <= i243 && 2 <= i12 && 0 <= i243 && i261 + -1 = i267'
was transformed to
main_NE_1319(a221, i266, i261, i243, i170, x, i12, env, static) -{4,4}> main_Load_1265(a221, i267', i269', i243, i170, 2, i12, env, static) :|: i266 + -1 = i269' && 0 <= i266 && 0 <= i170 && 0 < i266 && 0 < a221 && 1 <= i266 && 0 <= i269' && 1 <= i243 && 2 <= i12 && 0 <= i243 && i261 + -1 = i267' && x = 2

random_ArrayAccess_72(a6, 0, i6, env, static) -{7,7}> random_InvokeMethod_97(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_72(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_97(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0

main_NE_1319(a221, 0, i261, i243, i170, 2, i12, env, static) -{5,5}> main_Load_1265(a221, i261, i243, i243, i268', 2, i12, env, static) :|: 0 <= 0 && i170 + 1 = i268' && 0 < a221 && 1 <= i243 && 2 <= i12 && 0 <= i268' && 0 <= i170 && 1 <= i268' && 0 <= i243
was transformed to
main_NE_1319(a221, x, i261, i243, i170, x', i12, env, static) -{5,5}> main_Load_1265(a221, i261, i243, i243, i268', 2, i12, env, static) :|: 0 <= 0 && i170 + 1 = i268' && 0 < a221 && 1 <= i243 && 2 <= i12 && 0 <= i268' && 0 <= i170 && 1 <= i268' && 0 <= i243 && x = 0 && x' = 2

main_EQ_1274(a205, i244, i237, i243, i170, 2, i12, env, static) -{2,2}> main_LE_1279(a205, i244, i237, i243, i170, 2, i12, env, static) :|: !(i244 = 0) && 2 <= i12 && 0 <= i170 && 1 <= i243 && 0 < a205
was transformed to
main_EQ_1274(a205, i244, i237, i243, i170, x, i12, env, static) -{2,2}> main_LE_1279(a205, i244, i237, i243, i170, 2, i12, env, static) :|: !(i244 = 0) && 2 <= i12 && 0 <= i170 && 1 <= i243 && 0 < a205 && x = 2

random_InvokeMethod_217(o50, a6, i7, 2, i12, env, static) -{7,7}> main_Load_1265(a6, i7, i20', i20', 0, 2, i12, env, static) :|: 0 <= o50 && 0 < a6 && i20' <= o50 && 0 <= 2 && 0 <= 0 && -1 <= i7 && 0 < o50 && 2 <= i12 && 0 <= i20' && 0 <= 1 && 0 <= i7
was transformed to
random_InvokeMethod_217(o50, a6, i7, x, i12, env, static) -{7,7}> main_Load_1265(a6, i7, i20', i20', 0, 2, i12, env, static) :|: 0 <= o50 && 0 < a6 && i20' <= o50 && 0 <= 2 && 0 <= 0 && -1 <= i7 && 0 < o50 && 2 <= i12 && 0 <= i20' && 0 <= 1 && 0 <= i7 && x = 2

random_ArrayAccess_143(a6, 1, i7, i12, env, static) -{7,7}> random_InvokeMethod_217(o25', a6, i7, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i7 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2
was transformed to
random_ArrayAccess_143(a6, x, i7, i12, env, static) -{7,7}> random_InvokeMethod_217(o25', a6, i7, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i7 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1

main_LE_1279(a205, i246, i237, i243, i170, 2, i12, env, static) -{2,2}> main_LE_1309(a205, i237, i246, i243, i170, 2, i12, env, static) :|: 2 <= i12 && 1 <= i243 && 0 <= i170 && 0 < i246 && 1 <= i246 && 0 < a205
was transformed to
main_LE_1279(a205, i246, i237, i243, i170, x, i12, env, static) -{2,2}> main_LE_1309(a205, i237, i246, i243, i170, 2, i12, env, static) :|: 2 <= i12 && 1 <= i243 && 0 <= i170 && 0 < i246 && 1 <= i246 && 0 < a205 && x = 2

main_LE_1268(a205, i243, i237, i238, i170, 2, i12, env, static) -{2,2}> main_EQ_1274(a205, i238, i237, i243, i170, 2, i12, env, static) :|: 1 <= i243 && 0 <= i243 && 0 <= i170 && 0 < i243 && 0 < a205 && 2 <= i12
was transformed to
main_LE_1268(a205, i243, i237, i238, i170, x, i12, env, static) -{2,2}> main_EQ_1274(a205, i238, i237, i243, i170, 2, i12, env, static) :|: 1 <= i243 && 0 <= i243 && 0 <= i170 && 0 < i243 && 0 < a205 && 2 <= i12 && x = 2

main_LE_1309(a205, i256, i246, i243, i170, 2, i12, env, static) -{2,2}> main_NE_1319(a205, i246, i256, i243, i170, 2, i12, env, static) :|: 1 <= i256 && 0 <= i246 && 0 < a205 && 1 <= i246 && 0 <= i170 && 0 < i256 && 2 <= i12 && 1 <= i243
was transformed to
main_LE_1309(a205, i256, i246, i243, i170, x, i12, env, static) -{2,2}> main_NE_1319(a205, i246, i256, i243, i170, 2, i12, env, static) :|: 1 <= i256 && 0 <= i246 && 0 < a205 && 1 <= i246 && 0 <= i170 && 0 < i256 && 2 <= i12 && 1 <= i243 && x = 2

(10) Obligation:

IntTrs with 20 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_LE_1309(a205, i255, i246, i243, i170, iconst_2, i12, env, static) -{0,0}> main_LE_1311(a205, i255, i246, i243, i170, iconst_2, i12, env, static) :|: 1 <= i243 && 2 <= i12 && 0 < a205 && i255 <= 0 && 1 <= i246 && 0 <= i170 && iconst_2 = 2
random_InvokeMethod_97(o11, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i7', i6, env, static) :|: 0 <= a6 && 0 <= i7' && i7' <= o11 && 0 < a6 && a6 <= static && 0 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 <= o11 && 0 < o11 && x = 1
main_Load_2(o2, env, static) -{23,23}> random_ArrayAccess_72(o2, 0, i5', env, static'3) :|: static'3 <= static'2 + o2 && 0 <= i5' && static'2 <= static'1 + 0 && 0 < o2 && 0 <= 2 && i5' < o2 && 0 <= o2 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && -1 * static'3 <= 0 && 0 <= static && 0 < 1 && 0 < 2 && 0 <= 1 && 0 <= static'3
main_EQ_1274(a205, x, i237, i243, i170, x', i12, env, static) -{2,2}> main_NE_1319(a205, 0, i237, i243, i170, 2, i12, env, static) :|: 0 < a205 && 0 <= i170 && 2 <= i12 && 1 <= i243 && 0 <= 0 && x = 0 && x' = 2
main_NE_1319(a221, i266, i261, i243, i170, x, i12, env, static) -{4,4}> main_Load_1265(a221, i267', i269', i243, i170, 2, i12, env, static) :|: i266 + -1 = i269' && 0 <= i266 && 0 <= i170 && 0 < i266 && 0 < a221 && 1 <= i266 && 0 <= i269' && 1 <= i243 && 2 <= i12 && 0 <= i243 && i261 + -1 = i267' && x = 2
main_LE_1268(a205, iconst_0, i237, i238, i170, iconst_2, i12, env, static) -{0,0}> main_LE_1269(a205, iconst_0, i237, i238, i170, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && 0 < a205 && iconst_0 = 0 && 0 <= i170 && iconst_2 = 2
random_InvokeMethod_97(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_99(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
main_Load_1265(a205, i237, i238, i239, i170, iconst_2, i12, env, static) -{1,1}> main_LE_1268(a205, i239, i237, i238, i170, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i239 && 0 < a205 && 0 <= i170 && iconst_2 = 2
random_ArrayAccess_72(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_97(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
main_NE_1319(a221, x, i261, i243, i170, x', i12, env, static) -{5,5}> main_Load_1265(a221, i261, i243, i243, i268', 2, i12, env, static) :|: 0 <= 0 && i170 + 1 = i268' && 0 < a221 && 1 <= i243 && 2 <= i12 && 0 <= i268' && 0 <= i170 && 1 <= i268' && 0 <= i243 && x = 0 && x' = 2
main_EQ_1274(a205, i244, i237, i243, i170, x, i12, env, static) -{2,2}> main_LE_1279(a205, i244, i237, i243, i170, 2, i12, env, static) :|: !(i244 = 0) && 2 <= i12 && 0 <= i170 && 1 <= i243 && 0 < a205 && x = 2
random_InvokeMethod_217(o50, a6, i7, x, i12, env, static) -{7,7}> main_Load_1265(a6, i7, i20', i20', 0, 2, i12, env, static) :|: 0 <= o50 && 0 < a6 && i20' <= o50 && 0 <= 2 && 0 <= 0 && -1 <= i7 && 0 < o50 && 2 <= i12 && 0 <= i20' && 0 <= 1 && 0 <= i7 && x = 2
random_ArrayAccess_143(a6, x, i7, i12, env, static) -{7,7}> random_InvokeMethod_217(o25', a6, i7, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i7 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
main_LE_1279(a205, i246, i237, i243, i170, x, i12, env, static) -{2,2}> main_LE_1309(a205, i237, i246, i243, i170, 2, i12, env, static) :|: 2 <= i12 && 1 <= i243 && 0 <= i170 && 0 < i246 && 1 <= i246 && 0 < a205 && x = 2
random_InvokeMethod_217(NULL, a6, i7, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_226(NULL, a6, i7, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i7 && iconst_2 = 2
main_LE_1268(a205, i243, i237, i238, i170, x, i12, env, static) -{2,2}> main_EQ_1274(a205, i238, i237, i243, i170, 2, i12, env, static) :|: 1 <= i243 && 0 <= i243 && 0 <= i170 && 0 < i243 && 0 < a205 && 2 <= i12 && x = 2
main_LE_1309(a205, i256, i246, i243, i170, x, i12, env, static) -{2,2}> main_NE_1319(a205, i246, i256, i243, i170, 2, i12, env, static) :|: 1 <= i256 && 0 <= i246 && 0 < a205 && 1 <= i246 && 0 <= i170 && 0 < i256 && 2 <= i12 && 1 <= i243 && x = 2
random_ArrayAccess_72(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_73(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6
main_LE_1279(a205, i245, i237, i243, i170, iconst_2, i12, env, static) -{0,0}> main_LE_1281(a205, i245, i237, i243, i170, iconst_2, i12, env, static) :|: 1 <= i243 && 2 <= i12 && 0 < a205 && i245 <= -1 && 0 <= i170 && iconst_2 = 2
random_ArrayAccess_143(a6, iconst_1, i7, iconst_1, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i7, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i7

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

Linearized lhss.

random_ArrayAccess_72(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_73(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6
was transformed to
random_ArrayAccess_72(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_73(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0

random_ArrayAccess_143(a6, iconst_1, i7, iconst_1, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i7, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i7
was transformed to
random_ArrayAccess_143(a6, iconst_1, i7, x, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i7, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && x = iconst_1

(12) Obligation:

IntTrs with 20 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_LE_1309(a205, i255, i246, i243, i170, iconst_2, i12, env, static) -{0,0}> main_LE_1311(a205, i255, i246, i243, i170, iconst_2, i12, env, static) :|: 1 <= i243 && 2 <= i12 && 0 < a205 && i255 <= 0 && 1 <= i246 && 0 <= i170 && iconst_2 = 2
random_ArrayAccess_72(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_97(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
main_Load_2(o2, env, static) -{23,23}> random_ArrayAccess_72(o2, 0, i5', env, static'3) :|: static'3 <= static'2 + o2 && 0 <= i5' && static'2 <= static'1 + 0 && 0 < o2 && 0 <= 2 && i5' < o2 && 0 <= o2 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && -1 * static'3 <= 0 && 0 <= static && 0 < 1 && 0 < 2 && 0 <= 1 && 0 <= static'3
random_InvokeMethod_97(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_99(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
main_LE_1268(a205, iconst_0, i237, i238, i170, iconst_2, i12, env, static) -{0,0}> main_LE_1269(a205, iconst_0, i237, i238, i170, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && 0 < a205 && iconst_0 = 0 && 0 <= i170 && iconst_2 = 2
main_Load_1265(a205, i237, i238, i239, i170, iconst_2, i12, env, static) -{1,1}> main_LE_1268(a205, i239, i237, i238, i170, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i239 && 0 < a205 && 0 <= i170 && iconst_2 = 2
random_InvokeMethod_97(o11, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i7', i6, env, static) :|: 0 <= a6 && 0 <= i7' && i7' <= o11 && 0 < a6 && a6 <= static && 0 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 <= o11 && 0 < o11 && x = 1
main_LE_1309(a205, i256, i246, i243, i170, x, i12, env, static) -{2,2}> main_NE_1319(a205, i246, i256, i243, i170, 2, i12, env, static) :|: 1 <= i256 && 0 <= i246 && 0 < a205 && 1 <= i246 && 0 <= i170 && 0 < i256 && 2 <= i12 && 1 <= i243 && x = 2
main_LE_1268(a205, i243, i237, i238, i170, x, i12, env, static) -{2,2}> main_EQ_1274(a205, i238, i237, i243, i170, 2, i12, env, static) :|: 1 <= i243 && 0 <= i243 && 0 <= i170 && 0 < i243 && 0 < a205 && 2 <= i12 && x = 2
random_ArrayAccess_143(a6, x, i7, i12, env, static) -{7,7}> random_InvokeMethod_217(o25', a6, i7, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i7 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
main_NE_1319(a221, x, i261, i243, i170, x', i12, env, static) -{5,5}> main_Load_1265(a221, i261, i243, i243, i268', 2, i12, env, static) :|: 0 <= 0 && i170 + 1 = i268' && 0 < a221 && 1 <= i243 && 2 <= i12 && 0 <= i268' && 0 <= i170 && 1 <= i268' && 0 <= i243 && x = 0 && x' = 2
random_InvokeMethod_217(NULL, a6, i7, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_226(NULL, a6, i7, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i7 && iconst_2 = 2
main_EQ_1274(a205, i244, i237, i243, i170, x, i12, env, static) -{2,2}> main_LE_1279(a205, i244, i237, i243, i170, 2, i12, env, static) :|: !(i244 = 0) && 2 <= i12 && 0 <= i170 && 1 <= i243 && 0 < a205 && x = 2
main_EQ_1274(a205, x, i237, i243, i170, x', i12, env, static) -{2,2}> main_NE_1319(a205, 0, i237, i243, i170, 2, i12, env, static) :|: 0 < a205 && 0 <= i170 && 2 <= i12 && 1 <= i243 && 0 <= 0 && x = 0 && x' = 2
random_ArrayAccess_72(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_73(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
random_InvokeMethod_217(o50, a6, i7, x, i12, env, static) -{7,7}> main_Load_1265(a6, i7, i20', i20', 0, 2, i12, env, static) :|: 0 <= o50 && 0 < a6 && i20' <= o50 && 0 <= 2 && 0 <= 0 && -1 <= i7 && 0 < o50 && 2 <= i12 && 0 <= i20' && 0 <= 1 && 0 <= i7 && x = 2
main_NE_1319(a221, i266, i261, i243, i170, x, i12, env, static) -{4,4}> main_Load_1265(a221, i267', i269', i243, i170, 2, i12, env, static) :|: i266 + -1 = i269' && 0 <= i266 && 0 <= i170 && 0 < i266 && 0 < a221 && 1 <= i266 && 0 <= i269' && 1 <= i243 && 2 <= i12 && 0 <= i243 && i261 + -1 = i267' && x = 2
main_LE_1279(a205, i245, i237, i243, i170, iconst_2, i12, env, static) -{0,0}> main_LE_1281(a205, i245, i237, i243, i170, iconst_2, i12, env, static) :|: 1 <= i243 && 2 <= i12 && 0 < a205 && i245 <= -1 && 0 <= i170 && iconst_2 = 2
main_LE_1279(a205, i246, i237, i243, i170, x, i12, env, static) -{2,2}> main_LE_1309(a205, i237, i246, i243, i170, 2, i12, env, static) :|: 2 <= i12 && 1 <= i243 && 0 <= i170 && 0 < i246 && 1 <= i246 && 0 < a205 && x = 2
random_ArrayAccess_143(a6, iconst_1, i7, x, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i7, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && x = iconst_1

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

Removed div and mod.

main_EQ_1274(a205, i244, i237, i243, i170, x, i12, env, static) -{2,2}> main_LE_1279(a205, i244, i237, i243, i170, 2, i12, env, static) :|: !(i244 = 0) && 2 <= i12 && 0 <= i170 && 1 <= i243 && 0 < a205 && x = 2
was transformed to
main_EQ_1274(a205, i244, i237, i243, i170, x, i12, env, static) -{2,2}> main_LE_1279(a205, i244, i237, i243, i170, 2, i12, env, static) :|: i244 > 0 && 2 <= i12 && 0 <= i170 && 1 <= i243 && 0 < a205 && x = 2
main_EQ_1274(a205, i244, i237, i243, i170, x, i12, env, static) -{2,2}> main_LE_1279(a205, i244, i237, i243, i170, 2, i12, env, static) :|: i244 < 0 && 2 <= i12 && 0 <= i170 && 1 <= i243 && 0 < a205 && x = 2

(14) Obligation:

IntTrs with 21 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_LE_1309(a205, i255, i246, i243, i170, iconst_2, i12, env, static) -{0,0}> main_LE_1311(a205, i255, i246, i243, i170, iconst_2, i12, env, static) :|: 1 <= i243 && 2 <= i12 && 0 < a205 && i255 <= 0 && 1 <= i246 && 0 <= i170 && iconst_2 = 2
main_Load_2(o2, env, static) -{23,23}> random_ArrayAccess_72(o2, 0, i5', env, static'3) :|: static'3 <= static'2 + o2 && 0 <= i5' && static'2 <= static'1 + 0 && 0 < o2 && 0 <= 2 && i5' < o2 && 0 <= o2 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && -1 * static'3 <= 0 && 0 <= static && 0 < 1 && 0 < 2 && 0 <= 1 && 0 <= static'3
random_ArrayAccess_72(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_97(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, iconst_1, i7, x, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i7, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && x = iconst_1
main_LE_1268(a205, iconst_0, i237, i238, i170, iconst_2, i12, env, static) -{0,0}> main_LE_1269(a205, iconst_0, i237, i238, i170, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && 0 < a205 && iconst_0 = 0 && 0 <= i170 && iconst_2 = 2
random_InvokeMethod_97(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_99(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
main_Load_1265(a205, i237, i238, i239, i170, iconst_2, i12, env, static) -{1,1}> main_LE_1268(a205, i239, i237, i238, i170, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i239 && 0 < a205 && 0 <= i170 && iconst_2 = 2
random_InvokeMethod_97(o11, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i7', i6, env, static) :|: 0 <= a6 && 0 <= i7' && i7' <= o11 && 0 < a6 && a6 <= static && 0 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 <= o11 && 0 < o11 && x = 1
main_EQ_1274(a205, i244, i237, i243, i170, x, i12, env, static) -{2,2}> main_LE_1279(a205, i244, i237, i243, i170, 2, i12, env, static) :|: i244 < 0 && 2 <= i12 && 0 <= i170 && 1 <= i243 && 0 < a205 && x = 2
main_LE_1309(a205, i256, i246, i243, i170, x, i12, env, static) -{2,2}> main_NE_1319(a205, i246, i256, i243, i170, 2, i12, env, static) :|: 1 <= i256 && 0 <= i246 && 0 < a205 && 1 <= i246 && 0 <= i170 && 0 < i256 && 2 <= i12 && 1 <= i243 && x = 2
main_NE_1319(a221, x, i261, i243, i170, x', i12, env, static) -{5,5}> main_Load_1265(a221, i261, i243, i243, i268', 2, i12, env, static) :|: 0 <= 0 && i170 + 1 = i268' && 0 < a221 && 1 <= i243 && 2 <= i12 && 0 <= i268' && 0 <= i170 && 1 <= i268' && 0 <= i243 && x = 0 && x' = 2
random_ArrayAccess_143(a6, x, i7, i12, env, static) -{7,7}> random_InvokeMethod_217(o25', a6, i7, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i7 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
main_LE_1268(a205, i243, i237, i238, i170, x, i12, env, static) -{2,2}> main_EQ_1274(a205, i238, i237, i243, i170, 2, i12, env, static) :|: 1 <= i243 && 0 <= i243 && 0 <= i170 && 0 < i243 && 0 < a205 && 2 <= i12 && x = 2
random_InvokeMethod_217(NULL, a6, i7, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_226(NULL, a6, i7, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i7 && iconst_2 = 2
main_EQ_1274(a205, x, i237, i243, i170, x', i12, env, static) -{2,2}> main_NE_1319(a205, 0, i237, i243, i170, 2, i12, env, static) :|: 0 < a205 && 0 <= i170 && 2 <= i12 && 1 <= i243 && 0 <= 0 && x = 0 && x' = 2
main_NE_1319(a221, i266, i261, i243, i170, x, i12, env, static) -{4,4}> main_Load_1265(a221, i267', i269', i243, i170, 2, i12, env, static) :|: i266 + -1 = i269' && 0 <= i266 && 0 <= i170 && 0 < i266 && 0 < a221 && 1 <= i266 && 0 <= i269' && 1 <= i243 && 2 <= i12 && 0 <= i243 && i261 + -1 = i267' && x = 2
random_InvokeMethod_217(o50, a6, i7, x, i12, env, static) -{7,7}> main_Load_1265(a6, i7, i20', i20', 0, 2, i12, env, static) :|: 0 <= o50 && 0 < a6 && i20' <= o50 && 0 <= 2 && 0 <= 0 && -1 <= i7 && 0 < o50 && 2 <= i12 && 0 <= i20' && 0 <= 1 && 0 <= i7 && x = 2
random_ArrayAccess_72(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_73(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
main_LE_1279(a205, i245, i237, i243, i170, iconst_2, i12, env, static) -{0,0}> main_LE_1281(a205, i245, i237, i243, i170, iconst_2, i12, env, static) :|: 1 <= i243 && 2 <= i12 && 0 < a205 && i245 <= -1 && 0 <= i170 && iconst_2 = 2
main_LE_1279(a205, i246, i237, i243, i170, x, i12, env, static) -{2,2}> main_LE_1309(a205, i237, i246, i243, i170, 2, i12, env, static) :|: 2 <= i12 && 1 <= i243 && 0 <= i170 && 0 < i246 && 1 <= i246 && 0 < a205 && x = 2
main_EQ_1274(a205, i244, i237, i243, i170, x, i12, env, static) -{2,2}> main_LE_1279(a205, i244, i237, i243, i170, 2, i12, env, static) :|: i244 > 0 && 2 <= i12 && 0 <= i170 && 1 <= i243 && 0 < a205 && x = 2

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

Moved arithmethic from constraints to rhss.

main_LE_1309(a205, i255, i246, i243, i170, iconst_2, i12, env, static) -{0,0}> main_LE_1311(a205, i255, i246, i243, i170, iconst_2, i12, env, static) :|: 1 <= i243 && 2 <= i12 && 0 < a205 && i255 <= 0 && 1 <= i246 && 0 <= i170 && iconst_2 = 2
was transformed to
main_LE_1309(a205, i255, i246, i243, i170, iconst_2, i12, env, static) -{0,0}> main_LE_1311(a205, i255, i246, i243, i170, 2, i12, env, static) :|: 1 <= i243 && 2 <= i12 && 0 < a205 && i255 <= 0 && 1 <= i246 && 0 <= i170 && iconst_2 = 2

random_ArrayAccess_143(a6, iconst_1, i7, x, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i7, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && x = iconst_1
was transformed to
random_ArrayAccess_143(a6, iconst_1, i7, x, env, static) -{0,0}> random_ArrayAccess_146(a6, 1, i7, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && x = iconst_1

random_InvokeMethod_97(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_99(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
was transformed to
random_InvokeMethod_97(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_99(0, a6, 1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6

main_LE_1268(a205, iconst_0, i237, i238, i170, iconst_2, i12, env, static) -{0,0}> main_LE_1269(a205, iconst_0, i237, i238, i170, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && 0 < a205 && iconst_0 = 0 && 0 <= i170 && iconst_2 = 2
was transformed to
main_LE_1268(a205, iconst_0, i237, i238, i170, iconst_2, i12, env, static) -{0,0}> main_LE_1269(a205, 0, i237, i238, i170, 2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && 0 < a205 && iconst_0 = 0 && 0 <= i170 && iconst_2 = 2

main_Load_1265(a205, i237, i238, i239, i170, iconst_2, i12, env, static) -{1,1}> main_LE_1268(a205, i239, i237, i238, i170, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i239 && 0 < a205 && 0 <= i170 && iconst_2 = 2
was transformed to
main_Load_1265(a205, i237, i238, i239, i170, iconst_2, i12, env, static) -{1,1}> main_LE_1268(a205, i239, i237, i238, i170, 2, i12, env, static) :|: 2 <= i12 && 0 <= i239 && 0 < a205 && 0 <= i170 && iconst_2 = 2

main_NE_1319(a221, x, i261, i243, i170, x', i12, env, static) -{5,5}> main_Load_1265(a221, i261, i243, i243, i268', 2, i12, env, static) :|: 0 <= 0 && i170 + 1 = i268' && 0 < a221 && 1 <= i243 && 2 <= i12 && 0 <= i268' && 0 <= i170 && 1 <= i268' && 0 <= i243 && x = 0 && x' = 2
was transformed to
main_NE_1319(a221, x, i261, i243, i170, x', i12, env, static) -{5,5}> main_Load_1265(a221, i261, i243, i243, i170 + 1, 2, i12, env, static) :|: 0 <= 0 && i170 + 1 = i268' && 0 < a221 && 1 <= i243 && 2 <= i12 && 0 <= i268' && 0 <= i170 && 1 <= i268' && 0 <= i243 && x = 0 && x' = 2

random_InvokeMethod_217(NULL, a6, i7, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_226(NULL, a6, i7, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i7 && iconst_2 = 2
was transformed to
random_InvokeMethod_217(NULL, a6, i7, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_226(0, a6, i7, 2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i7 && iconst_2 = 2

random_ArrayAccess_72(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_73(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
was transformed to
random_ArrayAccess_72(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_73(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0

main_NE_1319(a221, i266, i261, i243, i170, x, i12, env, static) -{4,4}> main_Load_1265(a221, i267', i269', i243, i170, 2, i12, env, static) :|: i266 + -1 = i269' && 0 <= i266 && 0 <= i170 && 0 < i266 && 0 < a221 && 1 <= i266 && 0 <= i269' && 1 <= i243 && 2 <= i12 && 0 <= i243 && i261 + -1 = i267' && x = 2
was transformed to
main_NE_1319(a221, i266, i261, i243, i170, x, i12, env, static) -{4,4}> main_Load_1265(a221, i261 + -1, i266 + -1, i243, i170, 2, i12, env, static) :|: i266 + -1 = i269' && 0 <= i266 && 0 <= i170 && 0 < i266 && 0 < a221 && 1 <= i266 && 0 <= i269' && 1 <= i243 && 2 <= i12 && 0 <= i243 && i261 + -1 = i267' && x = 2

main_LE_1279(a205, i245, i237, i243, i170, iconst_2, i12, env, static) -{0,0}> main_LE_1281(a205, i245, i237, i243, i170, iconst_2, i12, env, static) :|: 1 <= i243 && 2 <= i12 && 0 < a205 && i245 <= -1 && 0 <= i170 && iconst_2 = 2
was transformed to
main_LE_1279(a205, i245, i237, i243, i170, iconst_2, i12, env, static) -{0,0}> main_LE_1281(a205, i245, i237, i243, i170, 2, i12, env, static) :|: 1 <= i243 && 2 <= i12 && 0 < a205 && i245 <= -1 && 0 <= i170 && iconst_2 = 2

(16) Obligation:

IntTrs with 21 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_LE_1309(a205, i255, i246, i243, i170, iconst_2, i12, env, static) -{0,0}> main_LE_1311(a205, i255, i246, i243, i170, 2, i12, env, static) :|: 1 <= i243 && 2 <= i12 && 0 < a205 && i255 <= 0 && 1 <= i246 && 0 <= i170 && iconst_2 = 2
random_ArrayAccess_72(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_97(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
main_Load_2(o2, env, static) -{23,23}> random_ArrayAccess_72(o2, 0, i5', env, static'3) :|: static'3 <= static'2 + o2 && 0 <= i5' && static'2 <= static'1 + 0 && 0 < o2 && 0 <= 2 && i5' < o2 && 0 <= o2 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && -1 * static'3 <= 0 && 0 <= static && 0 < 1 && 0 < 2 && 0 <= 1 && 0 <= static'3
random_ArrayAccess_143(a6, iconst_1, i7, x, env, static) -{0,0}> random_ArrayAccess_146(a6, 1, i7, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && x = iconst_1
random_InvokeMethod_97(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_99(0, a6, 1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
main_LE_1268(a205, iconst_0, i237, i238, i170, iconst_2, i12, env, static) -{0,0}> main_LE_1269(a205, 0, i237, i238, i170, 2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && 0 < a205 && iconst_0 = 0 && 0 <= i170 && iconst_2 = 2
main_Load_1265(a205, i237, i238, i239, i170, iconst_2, i12, env, static) -{1,1}> main_LE_1268(a205, i239, i237, i238, i170, 2, i12, env, static) :|: 2 <= i12 && 0 <= i239 && 0 < a205 && 0 <= i170 && iconst_2 = 2
main_EQ_1274(a205, i244, i237, i243, i170, x, i12, env, static) -{2,2}> main_LE_1279(a205, i244, i237, i243, i170, 2, i12, env, static) :|: i244 < 0 && 2 <= i12 && 0 <= i170 && 1 <= i243 && 0 < a205 && x = 2
random_InvokeMethod_97(o11, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i7', i6, env, static) :|: 0 <= a6 && 0 <= i7' && i7' <= o11 && 0 < a6 && a6 <= static && 0 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 <= o11 && 0 < o11 && x = 1
main_LE_1309(a205, i256, i246, i243, i170, x, i12, env, static) -{2,2}> main_NE_1319(a205, i246, i256, i243, i170, 2, i12, env, static) :|: 1 <= i256 && 0 <= i246 && 0 < a205 && 1 <= i246 && 0 <= i170 && 0 < i256 && 2 <= i12 && 1 <= i243 && x = 2
main_LE_1268(a205, i243, i237, i238, i170, x, i12, env, static) -{2,2}> main_EQ_1274(a205, i238, i237, i243, i170, 2, i12, env, static) :|: 1 <= i243 && 0 <= i243 && 0 <= i170 && 0 < i243 && 0 < a205 && 2 <= i12 && x = 2
random_ArrayAccess_143(a6, x, i7, i12, env, static) -{7,7}> random_InvokeMethod_217(o25', a6, i7, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i7 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
main_NE_1319(a221, x, i261, i243, i170, x', i12, env, static) -{5,5}> main_Load_1265(a221, i261, i243, i243, i170 + 1, 2, i12, env, static) :|: 0 <= 0 && i170 + 1 = i268' && 0 < a221 && 1 <= i243 && 2 <= i12 && 0 <= i268' && 0 <= i170 && 1 <= i268' && 0 <= i243 && x = 0 && x' = 2
random_InvokeMethod_217(NULL, a6, i7, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_226(0, a6, i7, 2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i7 && iconst_2 = 2
main_EQ_1274(a205, x, i237, i243, i170, x', i12, env, static) -{2,2}> main_NE_1319(a205, 0, i237, i243, i170, 2, i12, env, static) :|: 0 < a205 && 0 <= i170 && 2 <= i12 && 1 <= i243 && 0 <= 0 && x = 0 && x' = 2
random_ArrayAccess_72(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_73(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
random_InvokeMethod_217(o50, a6, i7, x, i12, env, static) -{7,7}> main_Load_1265(a6, i7, i20', i20', 0, 2, i12, env, static) :|: 0 <= o50 && 0 < a6 && i20' <= o50 && 0 <= 2 && 0 <= 0 && -1 <= i7 && 0 < o50 && 2 <= i12 && 0 <= i20' && 0 <= 1 && 0 <= i7 && x = 2
main_NE_1319(a221, i266, i261, i243, i170, x, i12, env, static) -{4,4}> main_Load_1265(a221, i261 + -1, i266 + -1, i243, i170, 2, i12, env, static) :|: i266 + -1 = i269' && 0 <= i266 && 0 <= i170 && 0 < i266 && 0 < a221 && 1 <= i266 && 0 <= i269' && 1 <= i243 && 2 <= i12 && 0 <= i243 && i261 + -1 = i267' && x = 2
main_LE_1279(a205, i245, i237, i243, i170, iconst_2, i12, env, static) -{0,0}> main_LE_1281(a205, i245, i237, i243, i170, 2, i12, env, static) :|: 1 <= i243 && 2 <= i12 && 0 < a205 && i245 <= -1 && 0 <= i170 && iconst_2 = 2
main_LE_1279(a205, i246, i237, i243, i170, x, i12, env, static) -{2,2}> main_LE_1309(a205, i237, i246, i243, i170, 2, i12, env, static) :|: 2 <= i12 && 1 <= i243 && 0 <= i170 && 0 < i246 && 1 <= i246 && 0 < a205 && x = 2
main_EQ_1274(a205, i244, i237, i243, i170, x, i12, env, static) -{2,2}> main_LE_1279(a205, i244, i237, i243, i170, 2, i12, env, static) :|: i244 > 0 && 2 <= i12 && 0 <= i170 && 1 <= i243 && 0 < a205 && x = 2

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

Simplified expressions.

main_NE_1319(a221, x, i261, i243, i170, x', i12, env, static) -{5,5}> main_Load_1265(a221, i261, i243, i243, i170 + 1, 2, i12, env, static) :|: 0 <= 0 && i170 + 1 = i268' && 0 < a221 && 1 <= i243 && 2 <= i12 && 0 <= i268' && 0 <= i170 && 1 <= i268' && 0 <= i243 && x = 0 && x' = 2
was transformed to
main_NE_1319(a221, x, i261, i243, i170, x', i12, env, static) -{5,5}> main_Load_1265(a221, i261, i243, i243, i170 + 1, 2, i12, env, static) :|: i170 + 1 = i268' && 0 < a221 && 1 <= i243 && 2 <= i12 && 0 <= i268' && 0 <= i170 && 1 <= i268' && 0 <= i243 && x = 0 && x' = 2

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

main_NE_1319(a221, i266, i261, i243, i170, x, i12, env, static) -{4,4}> main_Load_1265(a221, i261 + -1, i266 + -1, i243, i170, 2, i12, env, static) :|: i266 + -1 = i269' && 0 <= i266 && 0 <= i170 && 0 < i266 && 0 < a221 && 1 <= i266 && 0 <= i269' && 1 <= i243 && 2 <= i12 && 0 <= i243 && i261 + -1 = i267' && x = 2
was transformed to
main_NE_1319(a221, i266, i261, i243, i170, x, i12, env, static) -{4,4}> main_Load_1265(a221, i261 - 1, i266 - 1, i243, i170, 2, i12, env, static) :|: i266 - 1 = i269' && 0 <= i170 && 0 < i266 && 0 < a221 && 1 <= i266 && 0 <= i269' && 1 <= i243 && 2 <= i12 && 0 <= i243 && i261 - 1 = i267' && x = 2

random_InvokeMethod_97(o11, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i7', i6, env, static) :|: 0 <= a6 && 0 <= i7' && i7' <= o11 && 0 < a6 && a6 <= static && 0 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 <= o11 && 0 < o11 && x = 1
was transformed to
random_InvokeMethod_97(o11, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i7', i6, env, static) :|: 0 <= i7' && i7' <= o11 && 0 < a6 && a6 <= static && 0 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 < o11 && x = 1

main_LE_1268(a205, i243, i237, i238, i170, x, i12, env, static) -{2,2}> main_EQ_1274(a205, i238, i237, i243, i170, 2, i12, env, static) :|: 1 <= i243 && 0 <= i243 && 0 <= i170 && 0 < i243 && 0 < a205 && 2 <= i12 && x = 2
was transformed to
main_LE_1268(a205, i243, i237, i238, i170, x, i12, env, static) -{2,2}> main_EQ_1274(a205, i238, i237, i243, i170, 2, i12, env, static) :|: 1 <= i243 && 0 <= i170 && 0 < i243 && 0 < a205 && 2 <= i12 && x = 2

main_EQ_1274(a205, x, i237, i243, i170, x', i12, env, static) -{2,2}> main_NE_1319(a205, 0, i237, i243, i170, 2, i12, env, static) :|: 0 < a205 && 0 <= i170 && 2 <= i12 && 1 <= i243 && 0 <= 0 && x = 0 && x' = 2
was transformed to
main_EQ_1274(a205, x, i237, i243, i170, x', i12, env, static) -{2,2}> main_NE_1319(a205, 0, i237, i243, i170, 2, i12, env, static) :|: 0 < a205 && 0 <= i170 && 2 <= i12 && 1 <= i243 && x = 0 && x' = 2

random_InvokeMethod_217(o50, a6, i7, x, i12, env, static) -{7,7}> main_Load_1265(a6, i7, i20', i20', 0, 2, i12, env, static) :|: 0 <= o50 && 0 < a6 && i20' <= o50 && 0 <= 2 && 0 <= 0 && -1 <= i7 && 0 < o50 && 2 <= i12 && 0 <= i20' && 0 <= 1 && 0 <= i7 && x = 2
was transformed to
random_InvokeMethod_217(o50, a6, i7, x, i12, env, static) -{7,7}> main_Load_1265(a6, i7, i20', i20', 0, 2, i12, env, static) :|: 0 < a6 && i20' <= o50 && -1 <= i7 && 0 < o50 && 2 <= i12 && 0 <= i20' && 0 <= i7 && x = 2

main_EQ_1274(a205, i244, i237, i243, i170, x, i12, env, static) -{2,2}> main_LE_1279(a205, i244, i237, i243, i170, 2, i12, env, static) :|: i244 > 0 && 2 <= i12 && 0 <= i170 && 1 <= i243 && 0 < a205 && x = 2
was transformed to
main_EQ_1274(a205, i244, i237, i243, i170, x, i12, env, static) -{2,2}> main_LE_1279(a205, i244, i237, i243, i170, 2, i12, env, static) :|: 0 < i244 && 2 <= i12 && 0 <= i170 && 1 <= i243 && 0 < a205 && x = 2

(18) Obligation:

IntTrs with 21 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
random_ArrayAccess_72(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_73(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
random_ArrayAccess_72(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_97(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
main_LE_1268(a205, i243, i237, i238, i170, x, i12, env, static) -{2,2}> main_EQ_1274(a205, i238, i237, i243, i170, 2, i12, env, static) :|: 1 <= i243 && 0 <= i170 && 0 < i243 && 0 < a205 && 2 <= i12 && x = 2
main_Load_1265(a205, i237, i238, i239, i170, iconst_2, i12, env, static) -{1,1}> main_LE_1268(a205, i239, i237, i238, i170, 2, i12, env, static) :|: 2 <= i12 && 0 <= i239 && 0 < a205 && 0 <= i170 && iconst_2 = 2
random_ArrayAccess_143(a6, iconst_1, i7, x, env, static) -{0,0}> random_ArrayAccess_146(a6, 1, i7, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && x = iconst_1
random_InvokeMethod_217(NULL, a6, i7, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_226(0, a6, i7, 2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i7 && iconst_2 = 2
main_Load_2(o2, env, static) -{23,23}> random_ArrayAccess_72(o2, 0, i5', env, static'3) :|: static'3 <= static'2 + o2 && 0 <= i5' && static'2 <= static'1 && 0 < o2 && i5' < o2 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && -1 * static'3 <= 0 && 0 <= static && 0 <= static'3
main_EQ_1274(a205, i244, i237, i243, i170, x, i12, env, static) -{2,2}> main_LE_1279(a205, i244, i237, i243, i170, 2, i12, env, static) :|: i244 < 0 && 2 <= i12 && 0 <= i170 && 1 <= i243 && 0 < a205 && x = 2
main_EQ_1274(a205, i244, i237, i243, i170, x, i12, env, static) -{2,2}> main_LE_1279(a205, i244, i237, i243, i170, 2, i12, env, static) :|: 0 < i244 && 2 <= i12 && 0 <= i170 && 1 <= i243 && 0 < a205 && x = 2
main_LE_1309(a205, i256, i246, i243, i170, x, i12, env, static) -{2,2}> main_NE_1319(a205, i246, i256, i243, i170, 2, i12, env, static) :|: 1 <= i256 && 0 <= i246 && 0 < a205 && 1 <= i246 && 0 <= i170 && 0 < i256 && 2 <= i12 && 1 <= i243 && x = 2
random_InvokeMethod_97(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_99(0, a6, 1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
main_LE_1309(a205, i255, i246, i243, i170, iconst_2, i12, env, static) -{0,0}> main_LE_1311(a205, i255, i246, i243, i170, 2, i12, env, static) :|: 1 <= i243 && 2 <= i12 && 0 < a205 && i255 <= 0 && 1 <= i246 && 0 <= i170 && iconst_2 = 2
random_ArrayAccess_143(a6, x, i7, i12, env, static) -{7,7}> random_InvokeMethod_217(o25', a6, i7, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i7 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
main_EQ_1274(a205, x, i237, i243, i170, x', i12, env, static) -{2,2}> main_NE_1319(a205, 0, i237, i243, i170, 2, i12, env, static) :|: 0 < a205 && 0 <= i170 && 2 <= i12 && 1 <= i243 && x = 0 && x' = 2
main_LE_1268(a205, iconst_0, i237, i238, i170, iconst_2, i12, env, static) -{0,0}> main_LE_1269(a205, 0, i237, i238, i170, 2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && 0 < a205 && iconst_0 = 0 && 0 <= i170 && iconst_2 = 2
main_NE_1319(a221, x, i261, i243, i170, x', i12, env, static) -{5,5}> main_Load_1265(a221, i261, i243, i243, i170 + 1, 2, i12, env, static) :|: i170 + 1 = i268' && 0 < a221 && 1 <= i243 && 2 <= i12 && 0 <= i268' && 0 <= i170 && 1 <= i268' && 0 <= i243 && x = 0 && x' = 2
main_LE_1279(a205, i245, i237, i243, i170, iconst_2, i12, env, static) -{0,0}> main_LE_1281(a205, i245, i237, i243, i170, 2, i12, env, static) :|: 1 <= i243 && 2 <= i12 && 0 < a205 && i245 <= -1 && 0 <= i170 && iconst_2 = 2
random_InvokeMethod_97(o11, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i7', i6, env, static) :|: 0 <= i7' && i7' <= o11 && 0 < a6 && a6 <= static && 0 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 < o11 && x = 1
main_LE_1279(a205, i246, i237, i243, i170, x, i12, env, static) -{2,2}> main_LE_1309(a205, i237, i246, i243, i170, 2, i12, env, static) :|: 2 <= i12 && 1 <= i243 && 0 <= i170 && 0 < i246 && 1 <= i246 && 0 < a205 && x = 2
random_InvokeMethod_217(o50, a6, i7, x, i12, env, static) -{7,7}> main_Load_1265(a6, i7, i20', i20', 0, 2, i12, env, static) :|: 0 < a6 && i20' <= o50 && -1 <= i7 && 0 < o50 && 2 <= i12 && 0 <= i20' && 0 <= i7 && x = 2
main_NE_1319(a221, i266, i261, i243, i170, x, i12, env, static) -{4,4}> main_Load_1265(a221, i261 - 1, i266 - 1, i243, i170, 2, i12, env, static) :|: i266 - 1 = i269' && 0 <= i170 && 0 < i266 && 0 < a221 && 1 <= i266 && 0 <= i269' && 1 <= i243 && 2 <= i12 && 0 <= i243 && i261 - 1 = i267' && x = 2

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

Transformed 109 jbc graph edges to a weighted ITS with 109 rules.
Used simplified encoding of division and modulo.
Filtered conditions with variables that do not depend on the variables on the lhs or rhs without taking transitive dependencies into account.
Did no encode lower bounds for putfield and astore.

(20) Obligation:

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

(22) Obligation:

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

Moved arithmethic from lhss to constraints.

(24) Obligation:

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

Linearized lhss.

(26) Obligation:

IntTrs with 20 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_LE_1309(a205, i255, i246, i243, i170, iconst_2, i12, env, static) -{0,0}> main_LE_1311(a205, i255, i246, i243, i170, iconst_2, i12, env, static) :|: 1 <= i243 && 2 <= i12 && 0 < a205 && i255 <= 0 && 1 <= i246 && 0 <= i170 && iconst_2 = 2
random_ArrayAccess_72(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_97(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
main_Load_2(o2, env, static) -{23,23}> random_ArrayAccess_72(o2, 0, i5', env, static'3) :|: static'3 <= static'2 + o2 && 0 <= i5' && static'2 <= static'1 + 0 && 0 < o2 && 0 <= 2 && i5' < o2 && 0 <= o2 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && -1 * static'3 <= 0 && 0 <= static && 0 < 1 && 0 < 2 && 0 <= 1 && 0 <= static'3
random_InvokeMethod_97(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_99(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
main_LE_1268(a205, iconst_0, i237, i238, i170, iconst_2, i12, env, static) -{0,0}> main_LE_1269(a205, iconst_0, i237, i238, i170, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && 0 < a205 && iconst_0 = 0 && 0 <= i170 && iconst_2 = 2
main_Load_1265(a205, i237, i238, i239, i170, iconst_2, i12, env, static) -{1,1}> main_LE_1268(a205, i239, i237, i238, i170, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i239 && 0 < a205 && 0 <= i170 && iconst_2 = 2
random_InvokeMethod_97(o11, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i7', i6, env, static) :|: 0 <= a6 && 0 <= i7' && i7' <= o11 && 0 < a6 && a6 <= static && 0 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 <= o11 && 0 < o11 && x = 1
main_LE_1309(a205, i256, i246, i243, i170, x, i12, env, static) -{2,2}> main_NE_1319(a205, i246, i256, i243, i170, 2, i12, env, static) :|: 1 <= i256 && 0 <= i246 && 0 < a205 && 1 <= i246 && 0 <= i170 && 0 < i256 && 2 <= i12 && 1 <= i243 && x = 2
main_LE_1268(a205, i243, i237, i238, i170, x, i12, env, static) -{2,2}> main_EQ_1274(a205, i238, i237, i243, i170, 2, i12, env, static) :|: 1 <= i243 && 0 <= i243 && 0 <= i170 && 0 < i243 && 0 < a205 && 2 <= i12 && x = 2
random_ArrayAccess_143(a6, x, i7, i12, env, static) -{7,7}> random_InvokeMethod_217(o25', a6, i7, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i7 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
main_NE_1319(a221, x, i261, i243, i170, x', i12, env, static) -{5,5}> main_Load_1265(a221, i261, i243, i243, i268', 2, i12, env, static) :|: 0 <= 0 && i170 + 1 = i268' && 0 < a221 && 1 <= i243 && 2 <= i12 && 0 <= i268' && 0 <= i170 && 1 <= i268' && 0 <= i243 && x = 0 && x' = 2
random_InvokeMethod_217(NULL, a6, i7, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_226(NULL, a6, i7, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i7 && iconst_2 = 2
main_EQ_1274(a205, i244, i237, i243, i170, x, i12, env, static) -{2,2}> main_LE_1279(a205, i244, i237, i243, i170, 2, i12, env, static) :|: !(i244 = 0) && 2 <= i12 && 0 <= i170 && 1 <= i243 && 0 < a205 && x = 2
main_EQ_1274(a205, x, i237, i243, i170, x', i12, env, static) -{2,2}> main_NE_1319(a205, 0, i237, i243, i170, 2, i12, env, static) :|: 0 < a205 && 0 <= i170 && 2 <= i12 && 1 <= i243 && 0 <= 0 && x = 0 && x' = 2
random_ArrayAccess_72(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_73(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
random_InvokeMethod_217(o50, a6, i7, x, i12, env, static) -{7,7}> main_Load_1265(a6, i7, i20', i20', 0, 2, i12, env, static) :|: 0 <= o50 && 0 < a6 && i20' <= o50 && 0 <= 2 && 0 <= 0 && -1 <= i7 && 0 < o50 && 2 <= i12 && 0 <= i20' && 0 <= 1 && 0 <= i7 && x = 2
main_NE_1319(a221, i266, i261, i243, i170, x, i12, env, static) -{4,4}> main_Load_1265(a221, i267', i269', i243, i170, 2, i12, env, static) :|: i266 + -1 = i269' && 0 <= i266 && 0 <= i170 && 0 < i266 && 0 < a221 && 1 <= i266 && 0 <= i269' && 1 <= i243 && 2 <= i12 && 0 <= i243 && i261 + -1 = i267' && x = 2
main_LE_1279(a205, i245, i237, i243, i170, iconst_2, i12, env, static) -{0,0}> main_LE_1281(a205, i245, i237, i243, i170, iconst_2, i12, env, static) :|: 1 <= i243 && 2 <= i12 && 0 < a205 && i245 <= -1 && 0 <= i170 && iconst_2 = 2
main_LE_1279(a205, i246, i237, i243, i170, x, i12, env, static) -{2,2}> main_LE_1309(a205, i237, i246, i243, i170, 2, i12, env, static) :|: 2 <= i12 && 1 <= i243 && 0 <= i170 && 0 < i246 && 1 <= i246 && 0 < a205 && x = 2
random_ArrayAccess_143(a6, iconst_1, i7, x, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i7, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && x = iconst_1

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

Removed div and mod.

(28) Obligation:

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

Moved arithmethic from constraints to rhss.

(30) Obligation:

IntTrs with 21 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_LE_1309(a205, i255, i246, i243, i170, iconst_2, i12, env, static) -{0,0}> main_LE_1311(a205, i255, i246, i243, i170, 2, i12, env, static) :|: 1 <= i243 && 2 <= i12 && 0 < a205 && i255 <= 0 && 1 <= i246 && 0 <= i170 && iconst_2 = 2
random_ArrayAccess_72(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_97(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
main_Load_2(o2, env, static) -{23,23}> random_ArrayAccess_72(o2, 0, i5', env, static'3) :|: static'3 <= static'2 + o2 && 0 <= i5' && static'2 <= static'1 + 0 && 0 < o2 && 0 <= 2 && i5' < o2 && 0 <= o2 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && -1 * static'3 <= 0 && 0 <= static && 0 < 1 && 0 < 2 && 0 <= 1 && 0 <= static'3
random_ArrayAccess_143(a6, iconst_1, i7, x, env, static) -{0,0}> random_ArrayAccess_146(a6, 1, i7, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && x = iconst_1
random_InvokeMethod_97(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_99(0, a6, 1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
main_LE_1268(a205, iconst_0, i237, i238, i170, iconst_2, i12, env, static) -{0,0}> main_LE_1269(a205, 0, i237, i238, i170, 2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && 0 < a205 && iconst_0 = 0 && 0 <= i170 && iconst_2 = 2
main_Load_1265(a205, i237, i238, i239, i170, iconst_2, i12, env, static) -{1,1}> main_LE_1268(a205, i239, i237, i238, i170, 2, i12, env, static) :|: 2 <= i12 && 0 <= i239 && 0 < a205 && 0 <= i170 && iconst_2 = 2
main_EQ_1274(a205, i244, i237, i243, i170, x, i12, env, static) -{2,2}> main_LE_1279(a205, i244, i237, i243, i170, 2, i12, env, static) :|: i244 < 0 && 2 <= i12 && 0 <= i170 && 1 <= i243 && 0 < a205 && x = 2
random_InvokeMethod_97(o11, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i7', i6, env, static) :|: 0 <= a6 && 0 <= i7' && i7' <= o11 && 0 < a6 && a6 <= static && 0 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 <= o11 && 0 < o11 && x = 1
main_LE_1309(a205, i256, i246, i243, i170, x, i12, env, static) -{2,2}> main_NE_1319(a205, i246, i256, i243, i170, 2, i12, env, static) :|: 1 <= i256 && 0 <= i246 && 0 < a205 && 1 <= i246 && 0 <= i170 && 0 < i256 && 2 <= i12 && 1 <= i243 && x = 2
main_LE_1268(a205, i243, i237, i238, i170, x, i12, env, static) -{2,2}> main_EQ_1274(a205, i238, i237, i243, i170, 2, i12, env, static) :|: 1 <= i243 && 0 <= i243 && 0 <= i170 && 0 < i243 && 0 < a205 && 2 <= i12 && x = 2
random_ArrayAccess_143(a6, x, i7, i12, env, static) -{7,7}> random_InvokeMethod_217(o25', a6, i7, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i7 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
main_NE_1319(a221, x, i261, i243, i170, x', i12, env, static) -{5,5}> main_Load_1265(a221, i261, i243, i243, i170 + 1, 2, i12, env, static) :|: 0 <= 0 && i170 + 1 = i268' && 0 < a221 && 1 <= i243 && 2 <= i12 && 0 <= i268' && 0 <= i170 && 1 <= i268' && 0 <= i243 && x = 0 && x' = 2
random_InvokeMethod_217(NULL, a6, i7, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_226(0, a6, i7, 2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i7 && iconst_2 = 2
main_EQ_1274(a205, x, i237, i243, i170, x', i12, env, static) -{2,2}> main_NE_1319(a205, 0, i237, i243, i170, 2, i12, env, static) :|: 0 < a205 && 0 <= i170 && 2 <= i12 && 1 <= i243 && 0 <= 0 && x = 0 && x' = 2
random_ArrayAccess_72(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_73(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
random_InvokeMethod_217(o50, a6, i7, x, i12, env, static) -{7,7}> main_Load_1265(a6, i7, i20', i20', 0, 2, i12, env, static) :|: 0 <= o50 && 0 < a6 && i20' <= o50 && 0 <= 2 && 0 <= 0 && -1 <= i7 && 0 < o50 && 2 <= i12 && 0 <= i20' && 0 <= 1 && 0 <= i7 && x = 2
main_NE_1319(a221, i266, i261, i243, i170, x, i12, env, static) -{4,4}> main_Load_1265(a221, i261 + -1, i266 + -1, i243, i170, 2, i12, env, static) :|: i266 + -1 = i269' && 0 <= i266 && 0 <= i170 && 0 < i266 && 0 < a221 && 1 <= i266 && 0 <= i269' && 1 <= i243 && 2 <= i12 && 0 <= i243 && i261 + -1 = i267' && x = 2
main_LE_1279(a205, i245, i237, i243, i170, iconst_2, i12, env, static) -{0,0}> main_LE_1281(a205, i245, i237, i243, i170, 2, i12, env, static) :|: 1 <= i243 && 2 <= i12 && 0 < a205 && i245 <= -1 && 0 <= i170 && iconst_2 = 2
main_LE_1279(a205, i246, i237, i243, i170, x, i12, env, static) -{2,2}> main_LE_1309(a205, i237, i246, i243, i170, 2, i12, env, static) :|: 2 <= i12 && 1 <= i243 && 0 <= i170 && 0 < i246 && 1 <= i246 && 0 < a205 && x = 2
main_EQ_1274(a205, i244, i237, i243, i170, x, i12, env, static) -{2,2}> main_LE_1279(a205, i244, i237, i243, i170, 2, i12, env, static) :|: i244 > 0 && 2 <= i12 && 0 <= i170 && 1 <= i243 && 0 < a205 && x = 2

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

Simplified expressions.

(32) Obligation:

(33) TerminationGraphToComplexityProof (BOTH CONCRETE BOUNDS(ID, ADD(94)) transformation)

Extracted set of 102 edges for the analysis of TIME complexity. Dropped leaves.

(34) Obligation:

Set of 102 edges based on JBC Program.
Performed SCC analyses:

Used field analysis yielded the following read fields:

Considered paths: all paths from start

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

Transformed 102 jbc graph edges to a weighted ITS with 102 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.

(36) Obligation:

IntTrs with 102 rules
Start term: main_Load_2(args, env, static)
Considered paths: all paths from start
Rules:
main_Load_2(o2, env, static) -{0,0}> main_Load_3(o2, env, static) :|: 0 < o2
main_Load_3(o2, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_5(o2, env, static) :|: 0 < o2
langle_clinit_rangle_ConstantStackPush_5(o2, env, static) -{1,1}> langle_clinit_rangle_ArrayCreate_12(iconst_0, o2, env, static) :|: 0 < o2 && iconst_0 = 0
langle_clinit_rangle_ArrayCreate_12(iconst_0, o2, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_13(a2, o2, iconst_0, env, static) :|: a2 = 2 && 0 < o2 && iconst_0 = 0 && 0 < a2
langle_clinit_rangle_FieldAccess_13(a2, o2, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_16(o2, env, static') :|: 0 <= a2 && 0 < o2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2
langle_clinit_rangle_New_16(o2, env, static) -{0,0}> langle_clinit_rangle_New_18(o2, env, static) :|: 0 < o2
langle_clinit_rangle_New_18(o2, env, static) -{0,0}> langle_clinit_rangle_New_19(o2, env, static) :|: 0 < o2 && 0 <= static
langle_clinit_rangle_New_19(o2, env, static) -{1,1}> langle_clinit_rangle_Duplicate_20(o4, o2, env, static) :|: o4 = 1 && 0 < o2 && 0 < o4
langle_clinit_rangle_Duplicate_20(o4, o2, env, static) -{1,1}> langle_clinit_rangle_ConstantStackPush_22(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_clinit_rangle_ConstantStackPush_22(o4, o2, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_23(o4, NULL, o2, env, static) :|: NULL = 0 && 0 < o2 && 0 < o4
langle_clinit_rangle_InvokeMethod_23(o4, NULL, o2, env, static) -{1,1}> langle_init_rangle_Load_25(o4, o2, env, static) :|: NULL = 0 && 0 < o2 && 0 < o4
langle_init_rangle_Load_25(o4, o2, env, static) -{1,1}> langle_init_rangle_InvokeMethod_27(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_InvokeMethod_27(o4, o2, env, static) -{1,1}> langle_init_rangle_Load_29(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Load_29(o4, o2, env, static) -{1,1}> langle_init_rangle_InvokeMethod_31(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_InvokeMethod_31(o4, o2, env, static) -{1,1}> langle_init_rangle_Return_34(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Return_34(o4, o2, env, static) -{1,1}> langle_init_rangle_Return_36(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Return_36(o4, o2, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_39(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_clinit_rangle_FieldAccess_39(o4, o2, env, static) -{1,1}> langle_clinit_rangle_Return_40(o2, env, static') :|: 0 < o2 && 0 <= o4 && 0 < o4 && 0 <= static && static' <= static + o4
langle_clinit_rangle_Return_40(o2, env, static) -{1,1}> main_Load_47(o2, env, static) :|: 0 < o2
main_Load_47(o2, env, static) -{0,0}> main_Load_49(o2, env, static) :|: 0 < o2
main_Load_49(o2, env, static) -{0,0}> main_Load_52(o2, env, static) :|: 0 < o2 && 0 <= static
main_Load_52(o2, env, static) -{0,0}> main_Load_54(o2, env, static) :|: 0 < o2
main_Load_54(o2, env, static) -{0,0}> main_Load_58(o2, env, static) :|: 0 < o2
main_Load_58(o2, env, static) -{1,1}> main_FieldAccess_59(o2, env, static) :|: 0 < o2
main_FieldAccess_59(o2, env, static) -{0,0}> main_FieldAccess_60(o2, env, static) :|: 0 < o2
main_FieldAccess_60(o2, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_61(o2, NULL, iconst_0, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
langle_clinit_rangle_ConstantStackPush_61(o2, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_62(iconst_0, o2, NULL, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
langle_clinit_rangle_FieldAccess_62(iconst_0, o2, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_63(o2, NULL, iconst_0, env, static') :|: NULL = 0 && 0 < o2 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0
langle_clinit_rangle_Return_63(o2, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_64(o2, NULL, iconst_0, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
main_FieldAccess_64(o2, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_65(o2, iconst_0, env, static') :|: NULL = 0 && 0 < o2 && 0 <= o2 && iconst_0 = 0 && 0 <= static && static' <= static + o2
main_InvokeMethod_65(o2, iconst_0, env, static) -{1,1}> random_FieldAccess_66(o2, iconst_0, env, static) :|: 0 < o2 && iconst_0 = 0
random_FieldAccess_66(o2, iconst_0, env, static) -{1,1}> random_FieldAccess_70(o2, iconst_0, env, static) :|: 0 < o2 && o2 <= static && 0 <= o2 && iconst_0 = 0 && 0 <= static
random_FieldAccess_70(o2, iconst_0, env, static) -{1,1}> random_ArrayAccess_71(o2, iconst_0, env, static) :|: 0 < o2 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static
random_ArrayAccess_71(a6, iconst_0, env, static) -{0,0}> random_ArrayAccess_72(a6, iconst_0, i5, env, static) :|: i5 < a6 && iconst_0 = 0 && 0 < a6 && 0 <= i5
random_ArrayAccess_72(a6, iconst_0, i6, env, static) -{0,0}> random_ArrayAccess_74(a6, iconst_0, i6, env, static) :|: 0 <= i6 && 1 <= i6 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_74(a6, iconst_0, i6, env, static) -{1,1}> random_Store_78(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && o8 < a6 && iconst_0 = 0 && 0 < a6
random_Store_78(o8, a6, iconst_0, i6, env, static) -{1,1}> random_FieldAccess_81(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_0 = 0 && 0 < a6
random_FieldAccess_81(o8, a6, iconst_0, i6, env, static) -{1,1}> random_ConstantStackPush_85(iconst_0, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && 0 < a6 && iconst_0 <= static
random_ConstantStackPush_85(iconst_0, o8, a6, i6, env, static) -{1,1}> random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i6, env, static) -{1,1}> random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i6, env, static) -{1,1}> random_Load_94(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_94(o8, a6, iconst_1, i6, env, static) -{1,1}> random_InvokeMethod_97(o8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && 0 < a6
random_InvokeMethod_97(o11, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_98(o11, a6, iconst_1, i6, env, static) :|: 0 <= o11 && 1 <= i6 && iconst_1 = 1 && 0 < o11 && 0 < a6
random_InvokeMethod_98(o11, a6, iconst_1, i6, env, static) -{1,1}> random_Return_101(i7, a6, iconst_1, i6, env, static) :|: 1 <= i6 && i7 <= o11 && iconst_1 = 1 && 0 < o11 && 0 < a6 && 0 <= i7
random_Return_101(i7, a6, iconst_1, i6, env, static) -{1,1}> main_Store_115(a6, i7, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i7
main_Store_115(a6, i7, iconst_1, i6, env, static) -{1,1}> main_InvokeMethod_119(a6, i7, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i7
main_InvokeMethod_119(a6, i7, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_122(a6, i7, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i7
random_FieldAccess_122(a6, i7, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_141(a6, i7, iconst_1, i6, env, static) :|: 0 <= a6 && 1 <= i6 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i7
random_FieldAccess_141(a6, i7, iconst_1, i6, env, static) -{1,1}> random_ArrayAccess_143(a6, iconst_1, i7, i6, env, static) :|: -1 * static <= iconst_1 && 1 <= i6 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i7
random_ArrayAccess_143(a6, iconst_1, i7, i12, env, static) -{0,0}> random_ArrayAccess_147(a6, iconst_1, i7, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && 1 <= i12
random_ArrayAccess_147(a6, iconst_1, i7, i12, env, static) -{1,1}> random_Store_151(o25, a6, i7, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && o25 < a6 && 0 < a6 && 0 <= i7 && 0 <= o25
random_Store_151(o25, a6, i7, iconst_1, i12, env, static) -{1,1}> random_FieldAccess_153(o25, a6, i7, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && 0 <= o25
random_FieldAccess_153(o25, a6, i7, iconst_1, i12, env, static) -{1,1}> random_ConstantStackPush_168(iconst_1, o25, a6, i7, i12, env, static) :|: -1 * static <= iconst_1 && 2 <= i12 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i7 && 0 <= o25
random_ConstantStackPush_168(iconst_1, o25, a6, i7, i12, env, static) -{1,1}> random_IntArithmetic_177(iconst_1, o25, a6, i7, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && 0 <= o25
random_IntArithmetic_177(iconst_1, o25, a6, i7, i12, env, static) -{1,1}> random_FieldAccess_189(iconst_2, o25, a6, i7, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && 0 <= o25 && iconst_2 = 2
random_FieldAccess_189(iconst_2, o25, a6, i7, iconst_1, i12, env, static) -{1,1}> random_Load_204(o25, a6, i7, iconst_2, i12, env, static') :|: 2 <= i12 && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i7 && 0 <= o25 && iconst_2 = 2 && static' <= static + iconst_2
random_Load_204(o25, a6, i7, iconst_2, i12, env, static) -{1,1}> random_InvokeMethod_217(o25, a6, i7, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i7 && 0 <= o25 && iconst_2 = 2
random_InvokeMethod_217(o50, a6, i7, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_225(o50, a6, i7, iconst_2, i12, env, static) :|: 0 < o50 && 2 <= i12 && 0 <= o50 && 0 < a6 && 0 <= i7 && iconst_2 = 2
random_InvokeMethod_225(o50, a6, i7, iconst_2, i12, env, static) -{1,1}> random_Return_237(i20, a6, i7, iconst_2, i12, env, static) :|: 0 <= i20 && 0 < o50 && 2 <= i12 && 0 < a6 && 0 <= i7 && i20 <= o50 && iconst_2 = 2
random_Return_237(i20, a6, i7, iconst_2, i12, env, static) -{1,1}> main_Store_242(a6, i20, i7, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i7 && iconst_2 = 2
main_Store_242(a6, i20, i7, iconst_2, i12, env, static) -{1,1}> main_Load_246(a6, i7, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i7 && iconst_2 = 2
main_Load_246(a6, i7, i20, iconst_2, i12, env, static) -{1,1}> main_Store_257(a6, i20, i7, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i7 && iconst_2 = 2
main_Store_257(a6, i20, i7, iconst_2, i12, env, static) -{1,1}> main_ConstantStackPush_269(a6, i7, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i7 && iconst_2 = 2
main_ConstantStackPush_269(a6, i7, i20, iconst_2, i12, env, static) -{1,1}> main_Store_294(a6, iconst_0, i7, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && 0 <= i7 && iconst_2 = 2
main_Store_294(a6, iconst_0, i7, i20, iconst_2, i12, env, static) -{1,1}> main_Load_298(a6, i7, i20, iconst_0, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && 0 <= i7 && iconst_2 = 2
main_Load_298(a6, i7, i20, iconst_0, iconst_2, i12, env, static) -{0,0}> main_Load_776(a6, i7, i20, i20, iconst_0, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && 0 <= i7 && iconst_2 = 2
main_Load_776(a109, i53, i54, i55, iconst_0, iconst_2, i12, env, static) -{0,0}> main_Load_868(a109, i53, i54, i55, iconst_0, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 0 <= i55 && 2 <= i12 && iconst_0 <= 1 && iconst_0 = 0 && 0 <= i54 && iconst_2 = 2 && 0 <= i53 && 0 < a109
main_Load_868(a129, i53, i117, i118, i119, iconst_2, i12, env, static) -{0,0}> main_Load_1004(a129, i53, i117, i118, i119, iconst_2, i12, env, static) :|: 2 <= i12 && i119 <= 1 && 0 <= i118 && i119 <= 2 && 0 <= i119 && iconst_2 = 2 && 0 <= i53 && 0 < a129 && 0 <= i117
main_Load_1004(a143, i53, i149, i150, i151, iconst_2, i12, env, static) -{0,0}> main_Load_1068(a143, i53, i149, i150, i151, iconst_2, i12, env, static) :|: 0 <= i150 && i151 <= 2 && 0 <= i151 && 2 <= i12 && 0 < a143 && iconst_2 = 2 && 0 <= i53
main_Load_1068(a157, i53, i168, i169, i170, iconst_2, i12, env, static) -{0,0}> main_Load_1184(a157, i53, i168, i169, i170, iconst_2, i12, env, static) :|: 0 <= i169 && 2 <= i12 && -1 <= i53 && 0 < a157 && 0 <= i170 && iconst_2 = 2 && 0 <= i53
main_Load_1184(a181, i210, i211, i212, i170, iconst_2, i12, env, static) -{0,0}> main_Load_1265(a181, i210, i211, i212, i170, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i212 && -1 <= i210 && 0 <= i170 && iconst_2 = 2 && 0 < a181
main_Load_1265(a205, i237, i238, i239, i170, iconst_2, i12, env, static) -{1,1}> main_LE_1268(a205, i239, i237, i238, i170, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i239 && 0 < a205 && 0 <= i170 && iconst_2 = 2
main_LE_1268(a205, i243, i237, i238, i170, iconst_2, i12, env, static) -{0,0}> main_LE_1270(a205, i243, i237, i238, i170, iconst_2, i12, env, static) :|: 0 <= i243 && 1 <= i243 && 2 <= i12 && 0 < a205 && 0 <= i170 && iconst_2 = 2
main_LE_1270(a205, i243, i237, i238, i170, iconst_2, i12, env, static) -{1,1}> main_Load_1272(a205, i237, i238, i243, i170, iconst_2, i12, env, static) :|: 1 <= i243 && 2 <= i12 && 0 < i243 && 0 < a205 && 0 <= i170 && iconst_2 = 2
main_Load_1272(a205, i237, i238, i243, i170, iconst_2, i12, env, static) -{1,1}> main_EQ_1274(a205, i238, i237, i243, i170, iconst_2, i12, env, static) :|: 1 <= i243 && 2 <= i12 && 0 < a205 && 0 <= i170 && iconst_2 = 2
main_EQ_1274(a205, i244, i237, i243, i170, iconst_2, i12, env, static) -{0,0}> main_EQ_1275(a205, i244, i237, i243, i170, iconst_2, i12, env, static) :|: 1 <= i243 && 2 <= i12 && 0 < a205 && 0 <= i170 && iconst_2 = 2
main_EQ_1274(a205, iconst_0, i237, i243, i170, iconst_2, i12, env, static) -{0,0}> main_EQ_1276(a205, iconst_0, i237, i243, i170, iconst_2, i12, env, static) :|: 1 <= i243 && 2 <= i12 && 0 < a205 && iconst_0 = 0 && 0 <= i170 && iconst_2 = 2
main_EQ_1275(a205, i244, i237, i243, i170, iconst_2, i12, env, static) -{1,1}> main_Load_1277(a205, i237, i244, i243, i170, iconst_2, i12, env, static) :|: 1 <= i243 && !(i244 = 0) && 2 <= i12 && 0 < a205 && 0 <= i170 && iconst_2 = 2
main_EQ_1276(a205, iconst_0, i237, i243, i170, iconst_2, i12, env, static) -{1,1}> main_Load_1278(a205, i237, iconst_0, i243, i170, iconst_2, i12, env, static) :|: 1 <= i243 && 2 <= i12 && 0 < a205 && iconst_0 = 0 && 0 <= i170 && iconst_2 = 2
main_Load_1277(a205, i237, i244, i243, i170, iconst_2, i12, env, static) -{1,1}> main_LE_1279(a205, i244, i237, i243, i170, iconst_2, i12, env, static) :|: 1 <= i243 && 2 <= i12 && 0 < a205 && 0 <= i170 && iconst_2 = 2
main_Load_1278(a205, i237, iconst_0, i243, i170, iconst_2, i12, env, static) -{1,1}> main_NE_1280(a205, iconst_0, i237, i243, i170, iconst_2, i12, env, static) :|: 1 <= i243 && 2 <= i12 && 0 < a205 && iconst_0 = 0 && 0 <= i170 && iconst_2 = 2
main_LE_1279(a205, i246, i237, i243, i170, iconst_2, i12, env, static) -{0,0}> main_LE_1282(a205, i246, i237, i243, i170, iconst_2, i12, env, static) :|: 1 <= i243 && 2 <= i12 && 0 < a205 && 1 <= i246 && 0 <= i170 && iconst_2 = 2
main_NE_1280(a205, iconst_0, i237, i243, i170, iconst_2, i12, env, static) -{0,0}> main_NE_1319(a205, iconst_0, i237, i243, i170, iconst_2, i12, env, static) :|: 1 <= i243 && 0 <= iconst_0 && 2 <= i12 && 0 < a205 && iconst_0 = 0 && 0 <= i170 && iconst_2 = 2
main_LE_1282(a205, i246, i237, i243, i170, iconst_2, i12, env, static) -{1,1}> main_Load_1306(a205, i237, i246, i243, i170, iconst_2, i12, env, static) :|: 1 <= i243 && 2 <= i12 && 0 < a205 && 0 < i246 && 1 <= i246 && 0 <= i170 && iconst_2 = 2
main_Load_1306(a205, i237, i246, i243, i170, iconst_2, i12, env, static) -{1,1}> main_LE_1309(a205, i237, i246, i243, i170, iconst_2, i12, env, static) :|: 1 <= i243 && 2 <= i12 && 0 < a205 && 1 <= i246 && 0 <= i170 && iconst_2 = 2
main_LE_1309(a205, i256, i246, i243, i170, iconst_2, i12, env, static) -{0,0}> main_LE_1312(a205, i256, i246, i243, i170, iconst_2, i12, env, static) :|: 1 <= i243 && 2 <= i12 && 0 < a205 && 1 <= i256 && 1 <= i246 && 0 <= i170 && iconst_2 = 2
main_LE_1312(a205, i256, i246, i243, i170, iconst_2, i12, env, static) -{1,1}> main_Load_1315(a205, i256, i246, i243, i170, iconst_2, i12, env, static) :|: 1 <= i243 && 2 <= i12 && 0 < a205 && 0 < i256 && 1 <= i256 && 1 <= i246 && 0 <= i170 && iconst_2 = 2
main_Load_1315(a205, i256, i246, i243, i170, iconst_2, i12, env, static) -{1,1}> main_NE_1318(a205, i246, i256, i243, i170, iconst_2, i12, env, static) :|: 1 <= i243 && 2 <= i12 && 0 < a205 && 1 <= i256 && 1 <= i246 && 0 <= i170 && iconst_2 = 2
main_NE_1318(a205, i246, i256, i243, i170, iconst_2, i12, env, static) -{0,0}> main_NE_1319(a205, i246, i256, i243, i170, iconst_2, i12, env, static) :|: 1 <= i243 && 2 <= i12 && 0 < a205 && 1 <= i256 && 1 <= i246 && 0 <= i170 && iconst_2 = 2 && 0 <= i246
main_NE_1319(a221, i266, i261, i243, i170, iconst_2, i12, env, static) -{0,0}> main_NE_1320(a221, i266, i261, i243, i170, iconst_2, i12, env, static) :|: 1 <= i243 && 2 <= i12 && 0 < a221 && 1 <= i266 && 0 <= i170 && iconst_2 = 2 && 0 <= i266
main_NE_1319(a221, iconst_0, i261, i243, i170, iconst_2, i12, env, static) -{0,0}> main_NE_1321(a221, iconst_0, i261, i243, i170, iconst_2, i12, env, static) :|: 1 <= i243 && 0 <= iconst_0 && 2 <= i12 && iconst_0 = 0 && 0 < a221 && 0 <= i170 && iconst_2 = 2
main_NE_1320(a221, i266, i261, i243, i170, iconst_2, i12, env, static) -{1,1}> main_Inc_1322(a221, i261, i266, i243, i170, iconst_2, i12, env, static) :|: 1 <= i243 && 2 <= i12 && 0 < a221 && 1 <= i266 && 0 < i266 && 0 <= i170 && iconst_2 = 2
main_NE_1321(a221, iconst_0, i261, i243, i170, iconst_2, i12, env, static) -{1,1}> main_Inc_1323(a221, i261, i243, i170, iconst_2, i12, env, static) :|: 1 <= i243 && 2 <= i12 && iconst_0 = 0 && 0 < a221 && 0 <= i170 && iconst_2 = 2
main_Inc_1322(a221, i261, i266, i243, i170, iconst_2, i12, env, static) -{1,1}> main_Inc_1324(a221, i267, i266, i243, i170, iconst_2, i12, env, static) :|: 1 <= i243 && 2 <= i12 && 0 < a221 && 1 <= i266 && 0 <= i170 && iconst_2 = 2 && i261 + -1 = i267
main_Inc_1323(a221, i261, i243, i170, iconst_2, i12, env, static) -{1,1}> main_Load_1325(a221, i261, i243, i268, iconst_2, i12, env, static) :|: 1 <= i268 && 1 <= i243 && 2 <= i12 && 0 < a221 && 0 <= i170 && iconst_2 = 2 && i170 + 1 = i268
main_Inc_1324(a221, i267, i266, i243, i170, iconst_2, i12, env, static) -{1,1}> main_JMP_1326(a221, i267, i269, i243, i170, iconst_2, i12, env, static) :|: 1 <= i243 && 2 <= i12 && 0 <= i269 && 0 < a221 && 1 <= i266 && 0 <= i170 && iconst_2 = 2 && i266 + -1 = i269
main_Load_1325(a221, i261, i243, i268, iconst_2, i12, env, static) -{1,1}> main_Store_1327(a221, i243, i261, i268, iconst_2, i12, env, static) :|: 1 <= i268 && 1 <= i243 && 2 <= i12 && 0 < a221 && iconst_2 = 2
main_JMP_1326(a221, i267, i269, i243, i170, iconst_2, i12, env, static) -{1,1}> main_Load_1328(a221, i267, i269, i243, i170, iconst_2, i12, env, static) :|: 1 <= i243 && 2 <= i12 && 0 <= i269 && 0 < a221 && 0 <= i170 && iconst_2 = 2
main_Store_1327(a221, i243, i261, i268, iconst_2, i12, env, static) -{1,1}> main_JMP_1329(a221, i261, i243, i268, iconst_2, i12, env, static) :|: 1 <= i268 && 1 <= i243 && 2 <= i12 && 0 < a221 && iconst_2 = 2
main_Load_1328(a221, i267, i269, i243, i170, iconst_2, i12, env, static) -{0,0}> main_Load_1265(a221, i267, i269, i243, i170, iconst_2, i12, env, static) :|: 0 <= i243 && 1 <= i243 && 2 <= i12 && 0 <= i269 && 0 < a221 && 0 <= i170 && iconst_2 = 2
main_JMP_1329(a221, i261, i243, i268, iconst_2, i12, env, static) -{1,1}> main_Load_1330(a221, i261, i243, i268, iconst_2, i12, env, static) :|: 1 <= i268 && 1 <= i243 && 2 <= i12 && 0 < a221 && iconst_2 = 2
main_Load_1330(a221, i261, i243, i268, iconst_2, i12, env, static) -{0,0}> main_Load_1265(a221, i261, i243, i243, i268, iconst_2, i12, env, static) :|: 1 <= i268 && 0 <= i243 && 1 <= i243 && 0 <= i268 && 2 <= i12 && 0 < a221 && iconst_2 = 2

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

obtained
main_Load_2(o2, env, static) -{50,50}> main_Load_1265(o2, i7', i20', i20', 0, 2, i5', env, static'5) :|: static'4 <= static'3 + 1 && 0 < o2 && i20' <= o25' && 0 < 2 && 0 <= 0 && o25' < o2 && -1 <= i7' && 0 <= i5' && 2 <= i5' && 0 <= i20' && 1 <= static'4 && 0 <= 2 && 0 < o25' && 0 <= o8' && -1 * static'4 <= 1 && 0 <= static'3 && 0 < 1 && 0 <= static && 0 <= static''' && static''' <= static + 2 && 0 <= static'1 && static'1 <= static''' + 1 && o2 <= static'3 && 0 <= static'2 && -1 * static'3 <= 0 && i7' <= o8' && 0 <= o2 && i5' < o2 && o8' < o2 && 0 <= static'4 && 0 <= 1 && o2 <= static'4 && 0 < o8' && 0 <= o25' && static'2 <= static'1 + 0 && static'3 <= static'2 + o2 && static'5 <= static'4 + 2 && 1 <= i5' && 0 <= i7'
by chaining
main_Load_2(o2, env, static) -{0,0}> main_Load_3(o2, env, static) :|: 0 < o2
main_Load_3(o2, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_5(o2, env, static) :|: 0 < o2
langle_clinit_rangle_ConstantStackPush_5(o2, env, static) -{1,1}> langle_clinit_rangle_ArrayCreate_12(iconst_0, o2, env, static) :|: 0 < o2 && iconst_0 = 0
langle_clinit_rangle_ArrayCreate_12(iconst_0, o2, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_13(a2, o2, iconst_0, env, static) :|: a2 = 2 && 0 < o2 && iconst_0 = 0 && 0 < a2
langle_clinit_rangle_FieldAccess_13(a2, o2, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_16(o2, env, static') :|: 0 <= a2 && 0 < o2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2
langle_clinit_rangle_New_16(o2, env, static) -{0,0}> langle_clinit_rangle_New_18(o2, env, static) :|: 0 < o2
langle_clinit_rangle_New_18(o2, env, static) -{0,0}> langle_clinit_rangle_New_19(o2, env, static) :|: 0 < o2 && 0 <= static
langle_clinit_rangle_New_19(o2, env, static) -{1,1}> langle_clinit_rangle_Duplicate_20(o4, o2, env, static) :|: o4 = 1 && 0 < o2 && 0 < o4
langle_clinit_rangle_Duplicate_20(o4, o2, env, static) -{1,1}> langle_clinit_rangle_ConstantStackPush_22(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_clinit_rangle_ConstantStackPush_22(o4, o2, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_23(o4, NULL, o2, env, static) :|: NULL = 0 && 0 < o2 && 0 < o4
langle_clinit_rangle_InvokeMethod_23(o4, NULL, o2, env, static) -{1,1}> langle_init_rangle_Load_25(o4, o2, env, static) :|: NULL = 0 && 0 < o2 && 0 < o4
langle_init_rangle_Load_25(o4, o2, env, static) -{1,1}> langle_init_rangle_InvokeMethod_27(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_InvokeMethod_27(o4, o2, env, static) -{1,1}> langle_init_rangle_Load_29(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Load_29(o4, o2, env, static) -{1,1}> langle_init_rangle_InvokeMethod_31(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_InvokeMethod_31(o4, o2, env, static) -{1,1}> langle_init_rangle_Return_34(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Return_34(o4, o2, env, static) -{1,1}> langle_init_rangle_Return_36(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Return_36(o4, o2, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_39(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_clinit_rangle_FieldAccess_39(o4, o2, env, static) -{1,1}> langle_clinit_rangle_Return_40(o2, env, static') :|: 0 < o2 && 0 <= o4 && 0 < o4 && 0 <= static && static' <= static + o4
langle_clinit_rangle_Return_40(o2, env, static) -{1,1}> main_Load_47(o2, env, static) :|: 0 < o2
main_Load_47(o2, env, static) -{0,0}> main_Load_49(o2, env, static) :|: 0 < o2
main_Load_49(o2, env, static) -{0,0}> main_Load_52(o2, env, static) :|: 0 < o2 && 0 <= static
main_Load_52(o2, env, static) -{0,0}> main_Load_54(o2, env, static) :|: 0 < o2
main_Load_54(o2, env, static) -{0,0}> main_Load_58(o2, env, static) :|: 0 < o2
main_Load_58(o2, env, static) -{1,1}> main_FieldAccess_59(o2, env, static) :|: 0 < o2
main_FieldAccess_59(o2, env, static) -{0,0}> main_FieldAccess_60(o2, env, static) :|: 0 < o2
main_FieldAccess_60(o2, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_61(o2, NULL, iconst_0, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
langle_clinit_rangle_ConstantStackPush_61(o2, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_62(iconst_0, o2, NULL, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
langle_clinit_rangle_FieldAccess_62(iconst_0, o2, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_63(o2, NULL, iconst_0, env, static') :|: NULL = 0 && 0 < o2 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0
langle_clinit_rangle_Return_63(o2, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_64(o2, NULL, iconst_0, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
main_FieldAccess_64(o2, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_65(o2, iconst_0, env, static') :|: NULL = 0 && 0 < o2 && 0 <= o2 && iconst_0 = 0 && 0 <= static && static' <= static + o2
main_InvokeMethod_65(o2, iconst_0, env, static) -{1,1}> random_FieldAccess_66(o2, iconst_0, env, static) :|: 0 < o2 && iconst_0 = 0
random_FieldAccess_66(o2, iconst_0, env, static) -{1,1}> random_FieldAccess_70(o2, iconst_0, env, static) :|: 0 < o2 && o2 <= static && 0 <= o2 && iconst_0 = 0 && 0 <= static
random_FieldAccess_70(o2, iconst_0, env, static) -{1,1}> random_ArrayAccess_71(o2, iconst_0, env, static) :|: 0 < o2 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static
random_ArrayAccess_71(a6, iconst_0, env, static) -{0,0}> random_ArrayAccess_72(a6, iconst_0, i5, env, static) :|: i5 < a6 && iconst_0 = 0 && 0 < a6 && 0 <= i5
random_ArrayAccess_72(a6, iconst_0, i6, env, static) -{0,0}> random_ArrayAccess_74(a6, iconst_0, i6, env, static) :|: 0 <= i6 && 1 <= i6 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_74(a6, iconst_0, i6, env, static) -{1,1}> random_Store_78(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && o8 < a6 && iconst_0 = 0 && 0 < a6
random_Store_78(o8, a6, iconst_0, i6, env, static) -{1,1}> random_FieldAccess_81(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_0 = 0 && 0 < a6
random_FieldAccess_81(o8, a6, iconst_0, i6, env, static) -{1,1}> random_ConstantStackPush_85(iconst_0, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && 0 < a6 && iconst_0 <= static
random_ConstantStackPush_85(iconst_0, o8, a6, i6, env, static) -{1,1}> random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i6, env, static) -{1,1}> random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i6, env, static) -{1,1}> random_Load_94(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_94(o8, a6, iconst_1, i6, env, static) -{1,1}> random_InvokeMethod_97(o8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && 0 < a6
random_InvokeMethod_97(o11, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_98(o11, a6, iconst_1, i6, env, static) :|: 0 <= o11 && 1 <= i6 && iconst_1 = 1 && 0 < o11 && 0 < a6
random_InvokeMethod_98(o11, a6, iconst_1, i6, env, static) -{1,1}> random_Return_101(i7, a6, iconst_1, i6, env, static) :|: 1 <= i6 && i7 <= o11 && iconst_1 = 1 && 0 < o11 && 0 < a6 && 0 <= i7
random_Return_101(i7, a6, iconst_1, i6, env, static) -{1,1}> main_Store_115(a6, i7, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i7
main_Store_115(a6, i7, iconst_1, i6, env, static) -{1,1}> main_InvokeMethod_119(a6, i7, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i7
main_InvokeMethod_119(a6, i7, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_122(a6, i7, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i7
random_FieldAccess_122(a6, i7, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_141(a6, i7, iconst_1, i6, env, static) :|: 0 <= a6 && 1 <= i6 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i7
random_FieldAccess_141(a6, i7, iconst_1, i6, env, static) -{1,1}> random_ArrayAccess_143(a6, iconst_1, i7, i6, env, static) :|: -1 * static <= iconst_1 && 1 <= i6 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i7
random_ArrayAccess_143(a6, iconst_1, i7, i12, env, static) -{0,0}> random_ArrayAccess_147(a6, iconst_1, i7, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && 1 <= i12
random_ArrayAccess_147(a6, iconst_1, i7, i12, env, static) -{1,1}> random_Store_151(o25, a6, i7, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && o25 < a6 && 0 < a6 && 0 <= i7 && 0 <= o25
random_Store_151(o25, a6, i7, iconst_1, i12, env, static) -{1,1}> random_FieldAccess_153(o25, a6, i7, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && 0 <= o25
random_FieldAccess_153(o25, a6, i7, iconst_1, i12, env, static) -{1,1}> random_ConstantStackPush_168(iconst_1, o25, a6, i7, i12, env, static) :|: -1 * static <= iconst_1 && 2 <= i12 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i7 && 0 <= o25
random_ConstantStackPush_168(iconst_1, o25, a6, i7, i12, env, static) -{1,1}> random_IntArithmetic_177(iconst_1, o25, a6, i7, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && 0 <= o25
random_IntArithmetic_177(iconst_1, o25, a6, i7, i12, env, static) -{1,1}> random_FieldAccess_189(iconst_2, o25, a6, i7, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i7 && 0 <= o25 && iconst_2 = 2
random_FieldAccess_189(iconst_2, o25, a6, i7, iconst_1, i12, env, static) -{1,1}> random_Load_204(o25, a6, i7, iconst_2, i12, env, static') :|: 2 <= i12 && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i7 && 0 <= o25 && iconst_2 = 2 && static' <= static + iconst_2
random_Load_204(o25, a6, i7, iconst_2, i12, env, static) -{1,1}> random_InvokeMethod_217(o25, a6, i7, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i7 && 0 <= o25 && iconst_2 = 2
random_InvokeMethod_217(o50, a6, i7, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_225(o50, a6, i7, iconst_2, i12, env, static) :|: 0 < o50 && 2 <= i12 && 0 <= o50 && 0 < a6 && 0 <= i7 && iconst_2 = 2
random_InvokeMethod_225(o50, a6, i7, iconst_2, i12, env, static) -{1,1}> random_Return_237(i20, a6, i7, iconst_2, i12, env, static) :|: 0 <= i20 && 0 < o50 && 2 <= i12 && 0 < a6 && 0 <= i7 && i20 <= o50 && iconst_2 = 2
random_Return_237(i20, a6, i7, iconst_2, i12, env, static) -{1,1}> main_Store_242(a6, i20, i7, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i7 && iconst_2 = 2
main_Store_242(a6, i20, i7, iconst_2, i12, env, static) -{1,1}> main_Load_246(a6, i7, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i7 && iconst_2 = 2
main_Load_246(a6, i7, i20, iconst_2, i12, env, static) -{1,1}> main_Store_257(a6, i20, i7, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i7 && iconst_2 = 2
main_Store_257(a6, i20, i7, iconst_2, i12, env, static) -{1,1}> main_ConstantStackPush_269(a6, i7, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i7 && iconst_2 = 2
main_ConstantStackPush_269(a6, i7, i20, iconst_2, i12, env, static) -{1,1}> main_Store_294(a6, iconst_0, i7, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && 0 <= i7 && iconst_2 = 2
main_Store_294(a6, iconst_0, i7, i20, iconst_2, i12, env, static) -{1,1}> main_Load_298(a6, i7, i20, iconst_0, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && 0 <= i7 && iconst_2 = 2
main_Load_298(a6, i7, i20, iconst_0, iconst_2, i12, env, static) -{0,0}> main_Load_776(a6, i7, i20, i20, iconst_0, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && 0 <= i7 && iconst_2 = 2
main_Load_776(a109, i53, i54, i55, iconst_0, iconst_2, i12, env, static) -{0,0}> main_Load_868(a109, i53, i54, i55, iconst_0, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 0 <= i55 && 2 <= i12 && iconst_0 <= 1 && iconst_0 = 0 && 0 <= i54 && iconst_2 = 2 && 0 <= i53 && 0 < a109
main_Load_868(a129, i53, i117, i118, i119, iconst_2, i12, env, static) -{0,0}> main_Load_1004(a129, i53, i117, i118, i119, iconst_2, i12, env, static) :|: 2 <= i12 && i119 <= 1 && 0 <= i118 && i119 <= 2 && 0 <= i119 && iconst_2 = 2 && 0 <= i53 && 0 < a129 && 0 <= i117
main_Load_1004(a143, i53, i149, i150, i151, iconst_2, i12, env, static) -{0,0}> main_Load_1068(a143, i53, i149, i150, i151, iconst_2, i12, env, static) :|: 0 <= i150 && i151 <= 2 && 0 <= i151 && 2 <= i12 && 0 < a143 && iconst_2 = 2 && 0 <= i53
main_Load_1068(a157, i53, i168, i169, i170, iconst_2, i12, env, static) -{0,0}> main_Load_1184(a157, i53, i168, i169, i170, iconst_2, i12, env, static) :|: 0 <= i169 && 2 <= i12 && -1 <= i53 && 0 < a157 && 0 <= i170 && iconst_2 = 2 && 0 <= i53
main_Load_1184(a181, i210, i211, i212, i170, iconst_2, i12, env, static) -{0,0}> main_Load_1265(a181, i210, i211, i212, i170, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i212 && -1 <= i210 && 0 <= i170 && iconst_2 = 2 && 0 < a181

obtained
main_Load_1265(a205, i237, i238, i239, i170, 2, i12, env, static) -{3,3}> main_EQ_1274(a205, i238, i237, i239, i170, 2, i12, env, static) :|: 0 < i239 && 0 < a205 && 0 <= i170 && 2 <= i12 && 1 <= i239 && 0 <= i239
by chaining
main_Load_1265(a205, i237, i238, i239, i170, iconst_2, i12, env, static) -{1,1}> main_LE_1268(a205, i239, i237, i238, i170, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i239 && 0 < a205 && 0 <= i170 && iconst_2 = 2
main_LE_1268(a205, i243, i237, i238, i170, iconst_2, i12, env, static) -{0,0}> main_LE_1270(a205, i243, i237, i238, i170, iconst_2, i12, env, static) :|: 0 <= i243 && 1 <= i243 && 2 <= i12 && 0 < a205 && 0 <= i170 && iconst_2 = 2
main_LE_1270(a205, i243, i237, i238, i170, iconst_2, i12, env, static) -{1,1}> main_Load_1272(a205, i237, i238, i243, i170, iconst_2, i12, env, static) :|: 1 <= i243 && 2 <= i12 && 0 < i243 && 0 < a205 && 0 <= i170 && iconst_2 = 2
main_Load_1272(a205, i237, i238, i243, i170, iconst_2, i12, env, static) -{1,1}> main_EQ_1274(a205, i238, i237, i243, i170, iconst_2, i12, env, static) :|: 1 <= i243 && 2 <= i12 && 0 < a205 && 0 <= i170 && iconst_2 = 2

obtained
main_EQ_1274(a205, i244, i237, i243, i170, 2, i12, env, static) -{6,6}> main_NE_1319(a205, i244, i237, i243, i170, 2, i12, env, static) :|: 1 <= i243 && 0 <= i244 && 0 < a205 && 1 <= i237 && 0 <= i170 && 0 < i244 && 1 <= i244 && 0 < i237 && 2 <= i12 && !(i244 = 0)
by chaining
main_EQ_1274(a205, i244, i237, i243, i170, iconst_2, i12, env, static) -{0,0}> main_EQ_1275(a205, i244, i237, i243, i170, iconst_2, i12, env, static) :|: 1 <= i243 && 2 <= i12 && 0 < a205 && 0 <= i170 && iconst_2 = 2
main_EQ_1275(a205, i244, i237, i243, i170, iconst_2, i12, env, static) -{1,1}> main_Load_1277(a205, i237, i244, i243, i170, iconst_2, i12, env, static) :|: 1 <= i243 && !(i244 = 0) && 2 <= i12 && 0 < a205 && 0 <= i170 && iconst_2 = 2
main_Load_1277(a205, i237, i244, i243, i170, iconst_2, i12, env, static) -{1,1}> main_LE_1279(a205, i244, i237, i243, i170, iconst_2, i12, env, static) :|: 1 <= i243 && 2 <= i12 && 0 < a205 && 0 <= i170 && iconst_2 = 2
main_LE_1279(a205, i246, i237, i243, i170, iconst_2, i12, env, static) -{0,0}> main_LE_1282(a205, i246, i237, i243, i170, iconst_2, i12, env, static) :|: 1 <= i243 && 2 <= i12 && 0 < a205 && 1 <= i246 && 0 <= i170 && iconst_2 = 2
main_LE_1282(a205, i246, i237, i243, i170, iconst_2, i12, env, static) -{1,1}> main_Load_1306(a205, i237, i246, i243, i170, iconst_2, i12, env, static) :|: 1 <= i243 && 2 <= i12 && 0 < a205 && 0 < i246 && 1 <= i246 && 0 <= i170 && iconst_2 = 2
main_Load_1306(a205, i237, i246, i243, i170, iconst_2, i12, env, static) -{1,1}> main_LE_1309(a205, i237, i246, i243, i170, iconst_2, i12, env, static) :|: 1 <= i243 && 2 <= i12 && 0 < a205 && 1 <= i246 && 0 <= i170 && iconst_2 = 2
main_LE_1309(a205, i256, i246, i243, i170, iconst_2, i12, env, static) -{0,0}> main_LE_1312(a205, i256, i246, i243, i170, iconst_2, i12, env, static) :|: 1 <= i243 && 2 <= i12 && 0 < a205 && 1 <= i256 && 1 <= i246 && 0 <= i170 && iconst_2 = 2
main_LE_1312(a205, i256, i246, i243, i170, iconst_2, i12, env, static) -{1,1}> main_Load_1315(a205, i256, i246, i243, i170, iconst_2, i12, env, static) :|: 1 <= i243 && 2 <= i12 && 0 < a205 && 0 < i256 && 1 <= i256 && 1 <= i246 && 0 <= i170 && iconst_2 = 2
main_Load_1315(a205, i256, i246, i243, i170, iconst_2, i12, env, static) -{1,1}> main_NE_1318(a205, i246, i256, i243, i170, iconst_2, i12, env, static) :|: 1 <= i243 && 2 <= i12 && 0 < a205 && 1 <= i256 && 1 <= i246 && 0 <= i170 && iconst_2 = 2
main_NE_1318(a205, i246, i256, i243, i170, iconst_2, i12, env, static) -{0,0}> main_NE_1319(a205, i246, i256, i243, i170, iconst_2, i12, env, static) :|: 1 <= i243 && 2 <= i12 && 0 < a205 && 1 <= i256 && 1 <= i246 && 0 <= i170 && iconst_2 = 2 && 0 <= i246

(38) Obligation:

IntTrs with 6 rules
Start term: main_Load_2(args, env, static)
Considered paths: all paths from start
Rules:
main_Load_2(o2, env, static) -{50,50}> main_Load_1265(o2, i7', i20', i20', 0, 2, i5', env, static'5) :|: static'4 <= static'3 + 1 && 0 < o2 && i20' <= o25' && 0 < 2 && 0 <= 0 && o25' < o2 && -1 <= i7' && 0 <= i5' && 2 <= i5' && 0 <= i20' && 1 <= static'4 && 0 <= 2 && 0 < o25' && 0 <= o8' && -1 * static'4 <= 1 && 0 <= static'3 && 0 < 1 && 0 <= static && 0 <= static''' && static''' <= static + 2 && 0 <= static'1 && static'1 <= static''' + 1 && o2 <= static'3 && 0 <= static'2 && -1 * static'3 <= 0 && i7' <= o8' && 0 <= o2 && i5' < o2 && o8' < o2 && 0 <= static'4 && 0 <= 1 && o2 <= static'4 && 0 < o8' && 0 <= o25' && static'2 <= static'1 + 0 && static'3 <= static'2 + o2 && static'5 <= static'4 + 2 && 1 <= i5' && 0 <= i7'
main_Load_1265(a205, i237, i238, i239, i170, 2, i12, env, static) -{3,3}> main_EQ_1274(a205, i238, i237, i239, i170, 2, i12, env, static) :|: 0 < i239 && 0 < a205 && 0 <= i170 && 2 <= i12 && 1 <= i239 && 0 <= i239
main_EQ_1274(a205, 0, i237, i243, i170, 2, i12, env, static) -{2,2}> main_NE_1319(a205, 0, i237, i243, i170, 2, i12, env, static) :|: 0 < a205 && 0 <= i170 && 2 <= i12 && 1 <= i243 && 0 <= 0
main_NE_1319(a221, 0, i261, i243, i170, 2, i12, env, static) -{5,5}> main_Load_1265(a221, i261, i243, i243, i268', 2, i12, env, static) :|: 0 <= 0 && i170 + 1 = i268' && 0 < a221 && 1 <= i243 && 2 <= i12 && 0 <= i268' && 0 <= i170 && 1 <= i268' && 0 <= i243
main_NE_1319(a221, i266, i261, i243, i170, 2, i12, env, static) -{4,4}> main_Load_1265(a221, i267', i269', i243, i170, 2, i12, env, static) :|: i266 + -1 = i269' && 0 <= i266 && 0 <= i170 && 0 < i266 && 0 < a221 && 1 <= i266 && 0 <= i269' && 1 <= i243 && 2 <= i12 && 0 <= i243 && i261 + -1 = i267'
main_EQ_1274(a205, i244, i237, i243, i170, 2, i12, env, static) -{6,6}> main_NE_1319(a205, i244, i237, i243, i170, 2, i12, env, static) :|: 1 <= i243 && 0 <= i244 && 0 < a205 && 1 <= i237 && 0 <= i170 && 0 < i244 && 1 <= i244 && 0 < i237 && 2 <= i12 && !(i244 = 0)

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

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

main_Load_2(x1, x2, x3) → main_Load_2(x1, x3)
main_Load_1265(x1, x2, x3, x4, x5, x6, x7, x8, x9) → main_Load_1265(x1, x2, x3, x4, x5, x7)
main_EQ_1274(x1, x2, x3, x4, x5, x6, x7, x8, x9) → main_EQ_1274(x1, x2, x3, x4, x5, x7)
main_NE_1319(x1, x2, x3, x4, x5, x6, x7, x8, x9) → main_NE_1319(x1, x2, x3, x4, x5, x7)

(40) Obligation:

IntTrs with 6 rules
Start term: main_Load_2(args, static)
Considered paths: all paths from start
Rules:
main_Load_2(o2, static) -{50,50}> main_Load_1265(o2, i7', i20', i20', 0, i5') :|: static'4 <= static'3 + 1 && 0 < o2 && i20' <= o25' && 0 < 2 && 0 <= 0 && o25' < o2 && -1 <= i7' && 0 <= i5' && 2 <= i5' && 0 <= i20' && 1 <= static'4 && 0 <= 2 && 0 < o25' && 0 <= o8' && -1 * static'4 <= 1 && 0 <= static'3 && 0 < 1 && 0 <= static && 0 <= static''' && static''' <= static + 2 && 0 <= static'1 && static'1 <= static''' + 1 && o2 <= static'3 && 0 <= static'2 && -1 * static'3 <= 0 && i7' <= o8' && 0 <= o2 && i5' < o2 && o8' < o2 && 0 <= static'4 && 0 <= 1 && o2 <= static'4 && 0 < o8' && 0 <= o25' && static'2 <= static'1 + 0 && static'3 <= static'2 + o2 && static'5 <= static'4 + 2 && 1 <= i5' && 0 <= i7'
main_Load_1265(a205, i237, i238, i239, i170, i12) -{3,3}> main_EQ_1274(a205, i238, i237, i239, i170, i12) :|: 0 < i239 && 0 < a205 && 0 <= i170 && 2 <= i12 && 1 <= i239 && 0 <= i239
main_EQ_1274(a205, 0, i237, i243, i170, i12) -{2,2}> main_NE_1319(a205, 0, i237, i243, i170, i12) :|: 0 < a205 && 0 <= i170 && 2 <= i12 && 1 <= i243 && 0 <= 0
main_NE_1319(a221, 0, i261, i243, i170, i12) -{5,5}> main_Load_1265(a221, i261, i243, i243, i268', i12) :|: 0 <= 0 && i170 + 1 = i268' && 0 < a221 && 1 <= i243 && 2 <= i12 && 0 <= i268' && 0 <= i170 && 1 <= i268' && 0 <= i243
main_NE_1319(a221, i266, i261, i243, i170, i12) -{4,4}> main_Load_1265(a221, i267', i269', i243, i170, i12) :|: i266 + -1 = i269' && 0 <= i266 && 0 <= i170 && 0 < i266 && 0 < a221 && 1 <= i266 && 0 <= i269' && 1 <= i243 && 2 <= i12 && 0 <= i243 && i261 + -1 = i267'
main_EQ_1274(a205, i244, i237, i243, i170, i12) -{6,6}> main_NE_1319(a205, i244, i237, i243, i170, i12) :|: 1 <= i243 && 0 <= i244 && 0 < a205 && 1 <= i237 && 0 <= i170 && 0 < i244 && 1 <= i244 && 0 < i237 && 2 <= i12 && !(i244 = 0)

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

Moved arithmethic from lhss to constraints.

main_EQ_1274(a205, 0, i237, i243, i170, i12) -{2,2}> main_NE_1319(a205, 0, i237, i243, i170, i12) :|: 0 < a205 && 0 <= i170 && 2 <= i12 && 1 <= i243 && 0 <= 0
was transformed to
main_EQ_1274(a205, x, i237, i243, i170, i12) -{2,2}> main_NE_1319(a205, 0, i237, i243, i170, i12) :|: 0 < a205 && 0 <= i170 && 2 <= i12 && 1 <= i243 && 0 <= 0 && x = 0

main_NE_1319(a221, 0, i261, i243, i170, i12) -{5,5}> main_Load_1265(a221, i261, i243, i243, i268', i12) :|: 0 <= 0 && i170 + 1 = i268' && 0 < a221 && 1 <= i243 && 2 <= i12 && 0 <= i268' && 0 <= i170 && 1 <= i268' && 0 <= i243
was transformed to
main_NE_1319(a221, x, i261, i243, i170, i12) -{5,5}> main_Load_1265(a221, i261, i243, i243, i268', i12) :|: 0 <= 0 && i170 + 1 = i268' && 0 < a221 && 1 <= i243 && 2 <= i12 && 0 <= i268' && 0 <= i170 && 1 <= i268' && 0 <= i243 && x = 0

(42) Obligation:

IntTrs with 6 rules
Start term: main_Load_2(args, static)
Considered paths: all paths from start
Rules:
main_NE_1319(a221, i266, i261, i243, i170, i12) -{4,4}> main_Load_1265(a221, i267', i269', i243, i170, i12) :|: i266 + -1 = i269' && 0 <= i266 && 0 <= i170 && 0 < i266 && 0 < a221 && 1 <= i266 && 0 <= i269' && 1 <= i243 && 2 <= i12 && 0 <= i243 && i261 + -1 = i267'
main_Load_2(o2, static) -{50,50}> main_Load_1265(o2, i7', i20', i20', 0, i5') :|: static'4 <= static'3 + 1 && 0 < o2 && i20' <= o25' && 0 < 2 && 0 <= 0 && o25' < o2 && -1 <= i7' && 0 <= i5' && 2 <= i5' && 0 <= i20' && 1 <= static'4 && 0 <= 2 && 0 < o25' && 0 <= o8' && -1 * static'4 <= 1 && 0 <= static'3 && 0 < 1 && 0 <= static && 0 <= static''' && static''' <= static + 2 && 0 <= static'1 && static'1 <= static''' + 1 && o2 <= static'3 && 0 <= static'2 && -1 * static'3 <= 0 && i7' <= o8' && 0 <= o2 && i5' < o2 && o8' < o2 && 0 <= static'4 && 0 <= 1 && o2 <= static'4 && 0 < o8' && 0 <= o25' && static'2 <= static'1 + 0 && static'3 <= static'2 + o2 && static'5 <= static'4 + 2 && 1 <= i5' && 0 <= i7'
main_EQ_1274(a205, x, i237, i243, i170, i12) -{2,2}> main_NE_1319(a205, 0, i237, i243, i170, i12) :|: 0 < a205 && 0 <= i170 && 2 <= i12 && 1 <= i243 && 0 <= 0 && x = 0
main_Load_1265(a205, i237, i238, i239, i170, i12) -{3,3}> main_EQ_1274(a205, i238, i237, i239, i170, i12) :|: 0 < i239 && 0 < a205 && 0 <= i170 && 2 <= i12 && 1 <= i239 && 0 <= i239
main_EQ_1274(a205, i244, i237, i243, i170, i12) -{6,6}> main_NE_1319(a205, i244, i237, i243, i170, i12) :|: 1 <= i243 && 0 <= i244 && 0 < a205 && 1 <= i237 && 0 <= i170 && 0 < i244 && 1 <= i244 && 0 < i237 && 2 <= i12 && !(i244 = 0)
main_NE_1319(a221, x, i261, i243, i170, i12) -{5,5}> main_Load_1265(a221, i261, i243, i243, i268', i12) :|: 0 <= 0 && i170 + 1 = i268' && 0 < a221 && 1 <= i243 && 2 <= i12 && 0 <= i268' && 0 <= i170 && 1 <= i268' && 0 <= i243 && x = 0

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

Removed div and mod.

main_EQ_1274(a205, i244, i237, i243, i170, i12) -{6,6}> main_NE_1319(a205, i244, i237, i243, i170, i12) :|: 1 <= i243 && 0 <= i244 && 0 < a205 && 1 <= i237 && 0 <= i170 && 0 < i244 && 1 <= i244 && 0 < i237 && 2 <= i12 && !(i244 = 0)
was transformed to
main_EQ_1274(a205, i244, i237, i243, i170, i12) -{6,6}> main_NE_1319(a205, i244, i237, i243, i170, i12) :|: 1 <= i243 && 0 <= i244 && 0 < a205 && 1 <= i237 && 0 <= i170 && 0 < i244 && 1 <= i244 && 0 < i237 && 2 <= i12 && i244 > 0
main_EQ_1274(a205, i244, i237, i243, i170, i12) -{6,6}> main_NE_1319(a205, i244, i237, i243, i170, i12) :|: 1 <= i243 && 0 <= i244 && 0 < a205 && 1 <= i237 && 0 <= i170 && 0 < i244 && 1 <= i244 && 0 < i237 && 2 <= i12 && i244 < 0

(44) Obligation:

IntTrs with 7 rules
Start term: main_Load_2(args, static)
Considered paths: all paths from start
Rules:
main_NE_1319(a221, i266, i261, i243, i170, i12) -{4,4}> main_Load_1265(a221, i267', i269', i243, i170, i12) :|: i266 + -1 = i269' && 0 <= i266 && 0 <= i170 && 0 < i266 && 0 < a221 && 1 <= i266 && 0 <= i269' && 1 <= i243 && 2 <= i12 && 0 <= i243 && i261 + -1 = i267'
main_EQ_1274(a205, i244, i237, i243, i170, i12) -{6,6}> main_NE_1319(a205, i244, i237, i243, i170, i12) :|: 1 <= i243 && 0 <= i244 && 0 < a205 && 1 <= i237 && 0 <= i170 && 0 < i244 && 1 <= i244 && 0 < i237 && 2 <= i12 && i244 > 0
main_Load_2(o2, static) -{50,50}> main_Load_1265(o2, i7', i20', i20', 0, i5') :|: static'4 <= static'3 + 1 && 0 < o2 && i20' <= o25' && 0 < 2 && 0 <= 0 && o25' < o2 && -1 <= i7' && 0 <= i5' && 2 <= i5' && 0 <= i20' && 1 <= static'4 && 0 <= 2 && 0 < o25' && 0 <= o8' && -1 * static'4 <= 1 && 0 <= static'3 && 0 < 1 && 0 <= static && 0 <= static''' && static''' <= static + 2 && 0 <= static'1 && static'1 <= static''' + 1 && o2 <= static'3 && 0 <= static'2 && -1 * static'3 <= 0 && i7' <= o8' && 0 <= o2 && i5' < o2 && o8' < o2 && 0 <= static'4 && 0 <= 1 && o2 <= static'4 && 0 < o8' && 0 <= o25' && static'2 <= static'1 + 0 && static'3 <= static'2 + o2 && static'5 <= static'4 + 2 && 1 <= i5' && 0 <= i7'
main_EQ_1274(a205, x, i237, i243, i170, i12) -{2,2}> main_NE_1319(a205, 0, i237, i243, i170, i12) :|: 0 < a205 && 0 <= i170 && 2 <= i12 && 1 <= i243 && 0 <= 0 && x = 0
main_NE_1319(a221, x, i261, i243, i170, i12) -{5,5}> main_Load_1265(a221, i261, i243, i243, i268', i12) :|: 0 <= 0 && i170 + 1 = i268' && 0 < a221 && 1 <= i243 && 2 <= i12 && 0 <= i268' && 0 <= i170 && 1 <= i268' && 0 <= i243 && x = 0
main_EQ_1274(a205, i244, i237, i243, i170, i12) -{6,6}> main_NE_1319(a205, i244, i237, i243, i170, i12) :|: 1 <= i243 && 0 <= i244 && 0 < a205 && 1 <= i237 && 0 <= i170 && 0 < i244 && 1 <= i244 && 0 < i237 && 2 <= i12 && i244 < 0
main_Load_1265(a205, i237, i238, i239, i170, i12) -{3,3}> main_EQ_1274(a205, i238, i237, i239, i170, i12) :|: 0 < i239 && 0 < a205 && 0 <= i170 && 2 <= i12 && 1 <= i239 && 0 <= i239

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

Moved arithmethic from constraints to rhss.

main_NE_1319(a221, i266, i261, i243, i170, i12) -{4,4}> main_Load_1265(a221, i267', i269', i243, i170, i12) :|: i266 + -1 = i269' && 0 <= i266 && 0 <= i170 && 0 < i266 && 0 < a221 && 1 <= i266 && 0 <= i269' && 1 <= i243 && 2 <= i12 && 0 <= i243 && i261 + -1 = i267'
was transformed to
main_NE_1319(a221, i266, i261, i243, i170, i12) -{4,4}> main_Load_1265(a221, i261 + -1, i266 + -1, i243, i170, i12) :|: i266 + -1 = i269' && 0 <= i266 && 0 <= i170 && 0 < i266 && 0 < a221 && 1 <= i266 && 0 <= i269' && 1 <= i243 && 2 <= i12 && 0 <= i243 && i261 + -1 = i267'

main_NE_1319(a221, x, i261, i243, i170, i12) -{5,5}> main_Load_1265(a221, i261, i243, i243, i268', i12) :|: 0 <= 0 && i170 + 1 = i268' && 0 < a221 && 1 <= i243 && 2 <= i12 && 0 <= i268' && 0 <= i170 && 1 <= i268' && 0 <= i243 && x = 0
was transformed to
main_NE_1319(a221, x, i261, i243, i170, i12) -{5,5}> main_Load_1265(a221, i261, i243, i243, i170 + 1, i12) :|: 0 <= 0 && i170 + 1 = i268' && 0 < a221 && 1 <= i243 && 2 <= i12 && 0 <= i268' && 0 <= i170 && 1 <= i268' && 0 <= i243 && x = 0

(46) Obligation:

IntTrs with 7 rules
Start term: main_Load_2(args, static)
Considered paths: all paths from start
Rules:
main_NE_1319(a221, i266, i261, i243, i170, i12) -{4,4}> main_Load_1265(a221, i261 + -1, i266 + -1, i243, i170, i12) :|: i266 + -1 = i269' && 0 <= i266 && 0 <= i170 && 0 < i266 && 0 < a221 && 1 <= i266 && 0 <= i269' && 1 <= i243 && 2 <= i12 && 0 <= i243 && i261 + -1 = i267'
main_EQ_1274(a205, i244, i237, i243, i170, i12) -{6,6}> main_NE_1319(a205, i244, i237, i243, i170, i12) :|: 1 <= i243 && 0 <= i244 && 0 < a205 && 1 <= i237 && 0 <= i170 && 0 < i244 && 1 <= i244 && 0 < i237 && 2 <= i12 && i244 > 0
main_Load_2(o2, static) -{50,50}> main_Load_1265(o2, i7', i20', i20', 0, i5') :|: static'4 <= static'3 + 1 && 0 < o2 && i20' <= o25' && 0 < 2 && 0 <= 0 && o25' < o2 && -1 <= i7' && 0 <= i5' && 2 <= i5' && 0 <= i20' && 1 <= static'4 && 0 <= 2 && 0 < o25' && 0 <= o8' && -1 * static'4 <= 1 && 0 <= static'3 && 0 < 1 && 0 <= static && 0 <= static''' && static''' <= static + 2 && 0 <= static'1 && static'1 <= static''' + 1 && o2 <= static'3 && 0 <= static'2 && -1 * static'3 <= 0 && i7' <= o8' && 0 <= o2 && i5' < o2 && o8' < o2 && 0 <= static'4 && 0 <= 1 && o2 <= static'4 && 0 < o8' && 0 <= o25' && static'2 <= static'1 + 0 && static'3 <= static'2 + o2 && static'5 <= static'4 + 2 && 1 <= i5' && 0 <= i7'
main_EQ_1274(a205, x, i237, i243, i170, i12) -{2,2}> main_NE_1319(a205, 0, i237, i243, i170, i12) :|: 0 < a205 && 0 <= i170 && 2 <= i12 && 1 <= i243 && 0 <= 0 && x = 0
main_NE_1319(a221, x, i261, i243, i170, i12) -{5,5}> main_Load_1265(a221, i261, i243, i243, i170 + 1, i12) :|: 0 <= 0 && i170 + 1 = i268' && 0 < a221 && 1 <= i243 && 2 <= i12 && 0 <= i268' && 0 <= i170 && 1 <= i268' && 0 <= i243 && x = 0
main_EQ_1274(a205, i244, i237, i243, i170, i12) -{6,6}> main_NE_1319(a205, i244, i237, i243, i170, i12) :|: 1 <= i243 && 0 <= i244 && 0 < a205 && 1 <= i237 && 0 <= i170 && 0 < i244 && 1 <= i244 && 0 < i237 && 2 <= i12 && i244 < 0
main_Load_1265(a205, i237, i238, i239, i170, i12) -{3,3}> main_EQ_1274(a205, i238, i237, i239, i170, i12) :|: 0 < i239 && 0 < a205 && 0 <= i170 && 2 <= i12 && 1 <= i239 && 0 <= i239

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

Simplified expressions.

main_Load_2(o2, static) -{50,50}> main_Load_1265(o2, i7', i20', i20', 0, i5') :|: static'4 <= static'3 + 1 && 0 < o2 && i20' <= o25' && 0 < 2 && 0 <= 0 && o25' < o2 && -1 <= i7' && 0 <= i5' && 2 <= i5' && 0 <= i20' && 1 <= static'4 && 0 <= 2 && 0 < o25' && 0 <= o8' && -1 * static'4 <= 1 && 0 <= static'3 && 0 < 1 && 0 <= static && 0 <= static''' && static''' <= static + 2 && 0 <= static'1 && static'1 <= static''' + 1 && o2 <= static'3 && 0 <= static'2 && -1 * static'3 <= 0 && i7' <= o8' && 0 <= o2 && i5' < o2 && o8' < o2 && 0 <= static'4 && 0 <= 1 && o2 <= static'4 && 0 < o8' && 0 <= o25' && static'2 <= static'1 + 0 && static'3 <= static'2 + o2 && static'5 <= static'4 + 2 && 1 <= i5' && 0 <= i7'
was transformed to
main_Load_2(o2, static) -{50,50}> main_Load_1265(o2, i7', i20', i20', 0, i5') :|: static'4 <= static'3 + 1 && 0 < o2 && i20' <= o25' && o25' < o2 && -1 <= i7' && 0 <= i5' && 2 <= i5' && 0 <= i20' && 1 <= static'4 && 0 < o25' && -1 * static'4 <= 1 && 0 <= static'3 && 0 <= static && 0 <= static''' && static''' <= static + 2 && 0 <= static'1 && static'1 <= static''' + 1 && o2 <= static'3 && 0 <= static'2 && -1 * static'3 <= 0 && i7' <= o8' && i5' < o2 && o8' < o2 && 0 <= static'4 && o2 <= static'4 && 0 < o8' && static'2 <= static'1 && static'3 <= static'2 + o2 && static'5 <= static'4 + 2 && 1 <= i5' && 0 <= i7'

main_EQ_1274(a205, x, i237, i243, i170, i12) -{2,2}> main_NE_1319(a205, 0, i237, i243, i170, i12) :|: 0 < a205 && 0 <= i170 && 2 <= i12 && 1 <= i243 && 0 <= 0 && x = 0
was transformed to
main_EQ_1274(a205, x, i237, i243, i170, i12) -{2,2}> main_NE_1319(a205, 0, i237, i243, i170, i12) :|: 0 < a205 && 0 <= i170 && 2 <= i12 && 1 <= i243 && x = 0

main_NE_1319(a221, i266, i261, i243, i170, i12) -{4,4}> main_Load_1265(a221, i261 + -1, i266 + -1, i243, i170, i12) :|: i266 + -1 = i269' && 0 <= i266 && 0 <= i170 && 0 < i266 && 0 < a221 && 1 <= i266 && 0 <= i269' && 1 <= i243 && 2 <= i12 && 0 <= i243 && i261 + -1 = i267'
was transformed to
main_NE_1319(a221, i266, i261, i243, i170, i12) -{4,4}> main_Load_1265(a221, i261 - 1, i266 - 1, i243, i170, i12) :|: i266 - 1 = i269' && 0 <= i170 && 0 < i266 && 0 < a221 && 1 <= i266 && 0 <= i269' && 1 <= i243 && 2 <= i12 && 0 <= i243 && i261 - 1 = i267'

main_NE_1319(a221, x, i261, i243, i170, i12) -{5,5}> main_Load_1265(a221, i261, i243, i243, i170 + 1, i12) :|: 0 <= 0 && i170 + 1 = i268' && 0 < a221 && 1 <= i243 && 2 <= i12 && 0 <= i268' && 0 <= i170 && 1 <= i268' && 0 <= i243 && x = 0
was transformed to
main_NE_1319(a221, x, i261, i243, i170, i12) -{5,5}> main_Load_1265(a221, i261, i243, i243, i170 + 1, i12) :|: i170 + 1 = i268' && 0 < a221 && 1 <= i243 && 2 <= i12 && 0 <= i268' && 0 <= i170 && 1 <= i268' && 0 <= i243 && x = 0

main_Load_1265(a205, i237, i238, i239, i170, i12) -{3,3}> main_EQ_1274(a205, i238, i237, i239, i170, i12) :|: 0 < i239 && 0 < a205 && 0 <= i170 && 2 <= i12 && 1 <= i239 && 0 <= i239
was transformed to
main_Load_1265(a205, i237, i238, i239, i170, i12) -{3,3}> main_EQ_1274(a205, i238, i237, i239, i170, i12) :|: 0 < i239 && 0 < a205 && 0 <= i170 && 2 <= i12 && 1 <= i239

(48) Obligation:

IntTrs with 7 rules
Start term: main_Load_2(args, static)
Considered paths: all paths from start
Rules:
main_Load_2(o2, static) -{50,50}> main_Load_1265(o2, i7', i20', i20', 0, i5') :|: static'4 <= static'3 + 1 && 0 < o2 && i20' <= o25' && o25' < o2 && -1 <= i7' && 0 <= i5' && 2 <= i5' && 0 <= i20' && 1 <= static'4 && 0 < o25' && -1 * static'4 <= 1 && 0 <= static'3 && 0 <= static && 0 <= static''' && static''' <= static + 2 && 0 <= static'1 && static'1 <= static''' + 1 && o2 <= static'3 && 0 <= static'2 && -1 * static'3 <= 0 && i7' <= o8' && i5' < o2 && o8' < o2 && 0 <= static'4 && o2 <= static'4 && 0 < o8' && static'2 <= static'1 && static'3 <= static'2 + o2 && static'5 <= static'4 + 2 && 1 <= i5' && 0 <= i7'
main_NE_1319(a221, i266, i261, i243, i170, i12) -{4,4}> main_Load_1265(a221, i261 - 1, i266 - 1, i243, i170, i12) :|: i266 - 1 = i269' && 0 <= i170 && 0 < i266 && 0 < a221 && 1 <= i266 && 0 <= i269' && 1 <= i243 && 2 <= i12 && 0 <= i243 && i261 - 1 = i267'
main_Load_1265(a205, i237, i238, i239, i170, i12) -{3,3}> main_EQ_1274(a205, i238, i237, i239, i170, i12) :|: 0 < i239 && 0 < a205 && 0 <= i170 && 2 <= i12 && 1 <= i239
main_EQ_1274(a205, i244, i237, i243, i170, i12) -{6,6}> main_NE_1319(a205, i244, i237, i243, i170, i12) :|: 1 <= i243 && 0 < a205 && 1 <= i237 && 0 <= i170 && 1 <= i244 && 0 < i237 && 2 <= i12 && 0 < i244
main_EQ_1274(a205, x, i237, i243, i170, i12) -{2,2}> main_NE_1319(a205, 0, i237, i243, i170, i12) :|: 0 < a205 && 0 <= i170 && 2 <= i12 && 1 <= i243 && x = 0
main_NE_1319(a221, x, i261, i243, i170, i12) -{5,5}> main_Load_1265(a221, i261, i243, i243, i170 + 1, i12) :|: i170 + 1 = i268' && 0 < a221 && 1 <= i243 && 2 <= i12 && 0 <= i268' && 0 <= i170 && 1 <= i268' && 0 <= i243 && x = 0
main_EQ_1274(a205, i244, i237, i243, i170, i12) -{6,6}> main_NE_1319(a205, i244, i237, i243, i170, i12) :|: 1 <= i243 && 0 < a205 && 1 <= i237 && 0 <= i170 && 0 < i244 && 1 <= i244 && 0 < i237 && 2 <= i12 && i244 < 0

(49) koat Proof (EQUIVALENT transformation)

YES(?, 61*ar_0 + 101)

Initial complexity problem:
1: T:
(Comp: ?, Cost: 50) main_Load_2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(main_Load_1265(ar_0, i7', i20', i20', 0, i5')) [ static'4 <= static'3 + 1 /\ 0 < ar_0 /\ i20' <= o25' /\ o25' < ar_0 /\ -1 <= i7' /\ 0 <= i5' /\ 2 <= i5' /\ 0 <= i20' /\ 1 <= static'4 /\ 0 < o25' /\ -static'4 <= 1 /\ 0 <= static'3 /\ 0 <= ar_1 /\ 0 <= static''' /\ static''' <= ar_1 + 2 /\ 0 <= static'1 /\ static'1 <= static''' + 1 /\ ar_0 <= static'3 /\ 0 <= static'2 /\ -static'3 <= 0 /\ i7' <= o8' /\ i5' < ar_0 /\ o8' < ar_0 /\ 0 <= static'4 /\ ar_0 <= static'4 /\ 0 < o8' /\ static'2 <= static'1 /\ static'3 <= static'2 + ar_0 /\ static'5 <= static'4 + 2 /\ 1 <= i5' /\ 0 <= i7' ]
(Comp: ?, Cost: 4) main_NE_1319(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(main_Load_1265(ar_0, ar_2 - 1, ar_1 - 1, ar_3, ar_4, ar_5)) [ ar_1 - 1 = i269' /\ 0 <= ar_4 /\ 0 < ar_1 /\ 0 < ar_0 /\ 1 <= ar_1 /\ 0 <= i269' /\ 1 <= ar_3 /\ 2 <= ar_5 /\ 0 <= ar_3 /\ ar_2 - 1 = i267' ]
(Comp: ?, Cost: 3) main_Load_1265(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(main_EQ_1274(ar_0, ar_2, ar_1, ar_3, ar_4, ar_5)) [ 0 < ar_3 /\ 0 < ar_0 /\ 0 <= ar_4 /\ 2 <= ar_5 /\ 1 <= ar_3 ]
(Comp: ?, Cost: 6) main_EQ_1274(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(main_NE_1319(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 1 <= ar_3 /\ 0 < ar_0 /\ 1 <= ar_2 /\ 0 <= ar_4 /\ 1 <= ar_1 /\ 0 < ar_2 /\ 2 <= ar_5 /\ 0 < ar_1 ]
(Comp: ?, Cost: 2) main_EQ_1274(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(main_NE_1319(ar_0, 0, ar_2, ar_3, ar_4, ar_5)) [ 0 < ar_0 /\ 0 <= ar_4 /\ 2 <= ar_5 /\ 1 <= ar_3 /\ ar_1 = 0 ]
(Comp: ?, Cost: 5) main_NE_1319(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(main_Load_1265(ar_0, ar_2, ar_3, ar_3, ar_4 + 1, ar_5)) [ ar_4 + 1 = i268' /\ 0 < ar_0 /\ 1 <= ar_3 /\ 2 <= ar_5 /\ 0 <= i268' /\ 0 <= ar_4 /\ 1 <= i268' /\ 0 <= ar_3 /\ ar_1 = 0 ]
(Comp: ?, Cost: 6) main_EQ_1274(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(main_NE_1319(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 1 <= ar_3 /\ 0 < ar_0 /\ 1 <= ar_2 /\ 0 <= ar_4 /\ 0 < ar_1 /\ 1 <= ar_1 /\ 0 < ar_2 /\ 2 <= ar_5 /\ ar_1 < 0 ]
(Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(main_Load_2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]
start location: koat_start
leaf cost: 0

Testing for reachability in the complexity graph removes the following transition from problem 1:
main_EQ_1274(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(main_NE_1319(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 1 <= ar_3 /\ 0 < ar_0 /\ 1 <= ar_2 /\ 0 <= ar_4 /\ 0 < ar_1 /\ 1 <= ar_1 /\ 0 < ar_2 /\ 2 <= ar_5 /\ ar_1 < 0 ]
We thus obtain the following problem:
2: T:
(Comp: ?, Cost: 5) main_NE_1319(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(main_Load_1265(ar_0, ar_2, ar_3, ar_3, ar_4 + 1, ar_5)) [ ar_4 + 1 = i268' /\ 0 < ar_0 /\ 1 <= ar_3 /\ 2 <= ar_5 /\ 0 <= i268' /\ 0 <= ar_4 /\ 1 <= i268' /\ 0 <= ar_3 /\ ar_1 = 0 ]
(Comp: ?, Cost: 4) main_NE_1319(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(main_Load_1265(ar_0, ar_2 - 1, ar_1 - 1, ar_3, ar_4, ar_5)) [ ar_1 - 1 = i269' /\ 0 <= ar_4 /\ 0 < ar_1 /\ 0 < ar_0 /\ 1 <= ar_1 /\ 0 <= i269' /\ 1 <= ar_3 /\ 2 <= ar_5 /\ 0 <= ar_3 /\ ar_2 - 1 = i267' ]
(Comp: ?, Cost: 2) main_EQ_1274(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(main_NE_1319(ar_0, 0, ar_2, ar_3, ar_4, ar_5)) [ 0 < ar_0 /\ 0 <= ar_4 /\ 2 <= ar_5 /\ 1 <= ar_3 /\ ar_1 = 0 ]
(Comp: ?, Cost: 6) main_EQ_1274(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(main_NE_1319(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 1 <= ar_3 /\ 0 < ar_0 /\ 1 <= ar_2 /\ 0 <= ar_4 /\ 1 <= ar_1 /\ 0 < ar_2 /\ 2 <= ar_5 /\ 0 < ar_1 ]
(Comp: ?, Cost: 3) main_Load_1265(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(main_EQ_1274(ar_0, ar_2, ar_1, ar_3, ar_4, ar_5)) [ 0 < ar_3 /\ 0 < ar_0 /\ 0 <= ar_4 /\ 2 <= ar_5 /\ 1 <= ar_3 ]
(Comp: ?, Cost: 50) main_Load_2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(main_Load_1265(ar_0, i7', i20', i20', 0, i5')) [ static'4 <= static'3 + 1 /\ 0 < ar_0 /\ i20' <= o25' /\ o25' < ar_0 /\ -1 <= i7' /\ 0 <= i5' /\ 2 <= i5' /\ 0 <= i20' /\ 1 <= static'4 /\ 0 < o25' /\ -static'4 <= 1 /\ 0 <= static'3 /\ 0 <= ar_1 /\ 0 <= static''' /\ static''' <= ar_1 + 2 /\ 0 <= static'1 /\ static'1 <= static''' + 1 /\ ar_0 <= static'3 /\ 0 <= static'2 /\ -static'3 <= 0 /\ i7' <= o8' /\ i5' < ar_0 /\ o8' < ar_0 /\ 0 <= static'4 /\ ar_0 <= static'4 /\ 0 < o8' /\ static'2 <= static'1 /\ static'3 <= static'2 + ar_0 /\ static'5 <= static'4 + 2 /\ 1 <= i5' /\ 0 <= i7' ]
(Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(main_Load_2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]
start location: koat_start
leaf cost: 0

Repeatedly propagating knowledge in problem 2 produces the following problem:
3: T:
(Comp: ?, Cost: 5) main_NE_1319(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(main_Load_1265(ar_0, ar_2, ar_3, ar_3, ar_4 + 1, ar_5)) [ ar_4 + 1 = i268' /\ 0 < ar_0 /\ 1 <= ar_3 /\ 2 <= ar_5 /\ 0 <= i268' /\ 0 <= ar_4 /\ 1 <= i268' /\ 0 <= ar_3 /\ ar_1 = 0 ]
(Comp: ?, Cost: 4) main_NE_1319(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(main_Load_1265(ar_0, ar_2 - 1, ar_1 - 1, ar_3, ar_4, ar_5)) [ ar_1 - 1 = i269' /\ 0 <= ar_4 /\ 0 < ar_1 /\ 0 < ar_0 /\ 1 <= ar_1 /\ 0 <= i269' /\ 1 <= ar_3 /\ 2 <= ar_5 /\ 0 <= ar_3 /\ ar_2 - 1 = i267' ]
(Comp: ?, Cost: 2) main_EQ_1274(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(main_NE_1319(ar_0, 0, ar_2, ar_3, ar_4, ar_5)) [ 0 < ar_0 /\ 0 <= ar_4 /\ 2 <= ar_5 /\ 1 <= ar_3 /\ ar_1 = 0 ]
(Comp: ?, Cost: 6) main_EQ_1274(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(main_NE_1319(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 1 <= ar_3 /\ 0 < ar_0 /\ 1 <= ar_2 /\ 0 <= ar_4 /\ 1 <= ar_1 /\ 0 < ar_2 /\ 2 <= ar_5 /\ 0 < ar_1 ]
(Comp: ?, Cost: 3) main_Load_1265(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(main_EQ_1274(ar_0, ar_2, ar_1, ar_3, ar_4, ar_5)) [ 0 < ar_3 /\ 0 < ar_0 /\ 0 <= ar_4 /\ 2 <= ar_5 /\ 1 <= ar_3 ]
(Comp: 1, Cost: 50) main_Load_2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(main_Load_1265(ar_0, i7', i20', i20', 0, i5')) [ static'4 <= static'3 + 1 /\ 0 < ar_0 /\ i20' <= o25' /\ o25' < ar_0 /\ -1 <= i7' /\ 0 <= i5' /\ 2 <= i5' /\ 0 <= i20' /\ 1 <= static'4 /\ 0 < o25' /\ -static'4 <= 1 /\ 0 <= static'3 /\ 0 <= ar_1 /\ 0 <= static''' /\ static''' <= ar_1 + 2 /\ 0 <= static'1 /\ static'1 <= static''' + 1 /\ ar_0 <= static'3 /\ 0 <= static'2 /\ -static'3 <= 0 /\ i7' <= o8' /\ i5' < ar_0 /\ o8' < ar_0 /\ 0 <= static'4 /\ ar_0 <= static'4 /\ 0 < o8' /\ static'2 <= static'1 /\ static'3 <= static'2 + ar_0 /\ static'5 <= static'4 + 2 /\ 1 <= i5' /\ 0 <= i7' ]
(Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(main_Load_2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]
start location: koat_start
leaf cost: 0

Applied AI with 'oct' on problem 3 to obtain the following invariants:
For symbol main_EQ_1274: X_1 - X_6 - 1 >= 0 /\ X_6 - 2 >= 0 /\ X_5 + X_6 - 2 >= 0 /\ X_4 + X_6 - 3 >= 0 /\ X_1 + X_6 - 5 >= 0 /\ X_5 >= 0 /\ X_4 + X_5 - 1 >= 0 /\ X_1 + X_5 - 3 >= 0 /\ X_1 - X_4 - 1 >= 0 /\ X_4 - 1 >= 0 /\ X_1 + X_4 - 4 >= 0 /\ X_1 - X_3 - 1 >= 0 /\ X_1 - 3 >= 0
For symbol main_Load_1265: X_1 - X_6 - 1 >= 0 /\ X_6 - 2 >= 0 /\ X_5 + X_6 - 2 >= 0 /\ X_4 + X_6 - 2 >= 0 /\ X_1 + X_6 - 5 >= 0 /\ X_5 >= 0 /\ X_4 + X_5 >= 0 /\ X_1 + X_5 - 3 >= 0 /\ X_1 - X_4 - 1 >= 0 /\ X_4 >= 0 /\ X_1 + X_4 - 3 >= 0 /\ X_1 - X_2 - 1 >= 0 /\ X_1 - 3 >= 0
For symbol main_NE_1319: X_1 - X_6 - 1 >= 0 /\ X_6 - 2 >= 0 /\ X_5 + X_6 - 2 >= 0 /\ X_4 + X_6 - 3 >= 0 /\ X_2 + X_6 - 2 >= 0 /\ X_1 + X_6 - 5 >= 0 /\ X_5 >= 0 /\ X_4 + X_5 - 1 >= 0 /\ X_2 + X_5 >= 0 /\ X_1 + X_5 - 3 >= 0 /\ X_1 - X_4 - 1 >= 0 /\ X_4 - 1 >= 0 /\ X_2 + X_4 - 1 >= 0 /\ X_1 + X_4 - 4 >= 0 /\ X_1 - X_3 - 1 >= 0 /\ X_2 >= 0 /\ X_1 + X_2 - 3 >= 0 /\ X_1 - 3 >= 0

This yielded the following problem:
4: T:
(Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(main_Load_2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]
(Comp: 1, Cost: 50) main_Load_2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(main_Load_1265(ar_0, i7', i20', i20', 0, i5')) [ static'4 <= static'3 + 1 /\ 0 < ar_0 /\ i20' <= o25' /\ o25' < ar_0 /\ -1 <= i7' /\ 0 <= i5' /\ 2 <= i5' /\ 0 <= i20' /\ 1 <= static'4 /\ 0 < o25' /\ -static'4 <= 1 /\ 0 <= static'3 /\ 0 <= ar_1 /\ 0 <= static''' /\ static''' <= ar_1 + 2 /\ 0 <= static'1 /\ static'1 <= static''' + 1 /\ ar_0 <= static'3 /\ 0 <= static'2 /\ -static'3 <= 0 /\ i7' <= o8' /\ i5' < ar_0 /\ o8' < ar_0 /\ 0 <= static'4 /\ ar_0 <= static'4 /\ 0 < o8' /\ static'2 <= static'1 /\ static'3 <= static'2 + ar_0 /\ static'5 <= static'4 + 2 /\ 1 <= i5' /\ 0 <= i7' ]
(Comp: ?, Cost: 3) main_Load_1265(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(main_EQ_1274(ar_0, ar_2, ar_1, ar_3, ar_4, ar_5)) [ ar_0 - ar_5 - 1 >= 0 /\ ar_5 - 2 >= 0 /\ ar_4 + ar_5 - 2 >= 0 /\ ar_3 + ar_5 - 2 >= 0 /\ ar_0 + ar_5 - 5 >= 0 /\ ar_4 >= 0 /\ ar_3 + ar_4 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_0 + ar_3 - 3 >= 0 /\ ar_0 - ar_1 - 1 >= 0 /\ ar_0 - 3 >= 0 /\ 0 < ar_3 /\ 0 < ar_0 /\ 0 <= ar_4 /\ 2 <= ar_5 /\ 1 <= ar_3 ]
(Comp: ?, Cost: 6) main_EQ_1274(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(main_NE_1319(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - ar_5 - 1 >= 0 /\ ar_5 - 2 >= 0 /\ ar_4 + ar_5 - 2 >= 0 /\ ar_3 + ar_5 - 3 >= 0 /\ ar_0 + ar_5 - 5 >= 0 /\ ar_4 >= 0 /\ ar_3 + ar_4 - 1 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 4 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_0 - 3 >= 0 /\ 1 <= ar_3 /\ 0 < ar_0 /\ 1 <= ar_2 /\ 0 <= ar_4 /\ 1 <= ar_1 /\ 0 < ar_2 /\ 2 <= ar_5 /\ 0 < ar_1 ]
(Comp: ?, Cost: 2) main_EQ_1274(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(main_NE_1319(ar_0, 0, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - ar_5 - 1 >= 0 /\ ar_5 - 2 >= 0 /\ ar_4 + ar_5 - 2 >= 0 /\ ar_3 + ar_5 - 3 >= 0 /\ ar_0 + ar_5 - 5 >= 0 /\ ar_4 >= 0 /\ ar_3 + ar_4 - 1 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 4 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_0 - 3 >= 0 /\ 0 < ar_0 /\ 0 <= ar_4 /\ 2 <= ar_5 /\ 1 <= ar_3 /\ ar_1 = 0 ]
(Comp: ?, Cost: 4) main_NE_1319(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(main_Load_1265(ar_0, ar_2 - 1, ar_1 - 1, ar_3, ar_4, ar_5)) [ ar_0 - ar_5 - 1 >= 0 /\ ar_5 - 2 >= 0 /\ ar_4 + ar_5 - 2 >= 0 /\ ar_3 + ar_5 - 3 >= 0 /\ ar_1 + ar_5 - 2 >= 0 /\ ar_0 + ar_5 - 5 >= 0 /\ ar_4 >= 0 /\ ar_3 + ar_4 - 1 >= 0 /\ ar_1 + ar_4 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 4 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ ar_0 - 3 >= 0 /\ ar_1 - 1 = i269' /\ 0 <= ar_4 /\ 0 < ar_1 /\ 0 < ar_0 /\ 1 <= ar_1 /\ 0 <= i269' /\ 1 <= ar_3 /\ 2 <= ar_5 /\ 0 <= ar_3 /\ ar_2 - 1 = i267' ]
(Comp: ?, Cost: 5) main_NE_1319(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(main_Load_1265(ar_0, ar_2, ar_3, ar_3, ar_4 + 1, ar_5)) [ ar_0 - ar_5 - 1 >= 0 /\ ar_5 - 2 >= 0 /\ ar_4 + ar_5 - 2 >= 0 /\ ar_3 + ar_5 - 3 >= 0 /\ ar_1 + ar_5 - 2 >= 0 /\ ar_0 + ar_5 - 5 >= 0 /\ ar_4 >= 0 /\ ar_3 + ar_4 - 1 >= 0 /\ ar_1 + ar_4 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 4 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ ar_0 - 3 >= 0 /\ ar_4 + 1 = i268' /\ 0 < ar_0 /\ 1 <= ar_3 /\ 2 <= ar_5 /\ 0 <= i268' /\ 0 <= ar_4 /\ 1 <= i268' /\ 0 <= ar_3 /\ ar_1 = 0 ]
start location: koat_start
leaf cost: 0

By chaining the transition koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(main_Load_2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ] with all transitions in problem 4, the following new transition is obtained:
koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(main_Load_1265(ar_0, i7', i20', i20', 0, i5')) [ 0 <= 0 /\ static'4 <= static'3 + 1 /\ 0 < ar_0 /\ i20' <= o25' /\ o25' < ar_0 /\ -1 <= i7' /\ 0 <= i5' /\ 2 <= i5' /\ 0 <= i20' /\ 1 <= static'4 /\ 0 < o25' /\ -static'4 <= 1 /\ 0 <= static'3 /\ 0 <= ar_1 /\ 0 <= static''' /\ static''' <= ar_1 + 2 /\ 0 <= static'1 /\ static'1 <= static''' + 1 /\ ar_0 <= static'3 /\ 0 <= static'2 /\ -static'3 <= 0 /\ i7' <= o8' /\ i5' < ar_0 /\ o8' < ar_0 /\ 0 <= static'4 /\ ar_0 <= static'4 /\ 0 < o8' /\ static'2 <= static'1 /\ static'3 <= static'2 + ar_0 /\ static'5 <= static'4 + 2 /\ 1 <= i5' /\ 0 <= i7' ]
We thus obtain the following problem:
5: T:
(Comp: 1, Cost: 50) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(main_Load_1265(ar_0, i7', i20', i20', 0, i5')) [ 0 <= 0 /\ static'4 <= static'3 + 1 /\ 0 < ar_0 /\ i20' <= o25' /\ o25' < ar_0 /\ -1 <= i7' /\ 0 <= i5' /\ 2 <= i5' /\ 0 <= i20' /\ 1 <= static'4 /\ 0 < o25' /\ -static'4 <= 1 /\ 0 <= static'3 /\ 0 <= ar_1 /\ 0 <= static''' /\ static''' <= ar_1 + 2 /\ 0 <= static'1 /\ static'1 <= static''' + 1 /\ ar_0 <= static'3 /\ 0 <= static'2 /\ -static'3 <= 0 /\ i7' <= o8' /\ i5' < ar_0 /\ o8' < ar_0 /\ 0 <= static'4 /\ ar_0 <= static'4 /\ 0 < o8' /\ static'2 <= static'1 /\ static'3 <= static'2 + ar_0 /\ static'5 <= static'4 + 2 /\ 1 <= i5' /\ 0 <= i7' ]
(Comp: 1, Cost: 50) main_Load_2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(main_Load_1265(ar_0, i7', i20', i20', 0, i5')) [ static'4 <= static'3 + 1 /\ 0 < ar_0 /\ i20' <= o25' /\ o25' < ar_0 /\ -1 <= i7' /\ 0 <= i5' /\ 2 <= i5' /\ 0 <= i20' /\ 1 <= static'4 /\ 0 < o25' /\ -static'4 <= 1 /\ 0 <= static'3 /\ 0 <= ar_1 /\ 0 <= static''' /\ static''' <= ar_1 + 2 /\ 0 <= static'1 /\ static'1 <= static''' + 1 /\ ar_0 <= static'3 /\ 0 <= static'2 /\ -static'3 <= 0 /\ i7' <= o8' /\ i5' < ar_0 /\ o8' < ar_0 /\ 0 <= static'4 /\ ar_0 <= static'4 /\ 0 < o8' /\ static'2 <= static'1 /\ static'3 <= static'2 + ar_0 /\ static'5 <= static'4 + 2 /\ 1 <= i5' /\ 0 <= i7' ]
(Comp: ?, Cost: 3) main_Load_1265(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(main_EQ_1274(ar_0, ar_2, ar_1, ar_3, ar_4, ar_5)) [ ar_0 - ar_5 - 1 >= 0 /\ ar_5 - 2 >= 0 /\ ar_4 + ar_5 - 2 >= 0 /\ ar_3 + ar_5 - 2 >= 0 /\ ar_0 + ar_5 - 5 >= 0 /\ ar_4 >= 0 /\ ar_3 + ar_4 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_0 + ar_3 - 3 >= 0 /\ ar_0 - ar_1 - 1 >= 0 /\ ar_0 - 3 >= 0 /\ 0 < ar_3 /\ 0 < ar_0 /\ 0 <= ar_4 /\ 2 <= ar_5 /\ 1 <= ar_3 ]
(Comp: ?, Cost: 6) main_EQ_1274(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(main_NE_1319(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - ar_5 - 1 >= 0 /\ ar_5 - 2 >= 0 /\ ar_4 + ar_5 - 2 >= 0 /\ ar_3 + ar_5 - 3 >= 0 /\ ar_0 + ar_5 - 5 >= 0 /\ ar_4 >= 0 /\ ar_3 + ar_4 - 1 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 4 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_0 - 3 >= 0 /\ 1 <= ar_3 /\ 0 < ar_0 /\ 1 <= ar_2 /\ 0 <= ar_4 /\ 1 <= ar_1 /\ 0 < ar_2 /\ 2 <= ar_5 /\ 0 < ar_1 ]
(Comp: ?, Cost: 2) main_EQ_1274(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(main_NE_1319(ar_0, 0, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - ar_5 - 1 >= 0 /\ ar_5 - 2 >= 0 /\ ar_4 + ar_5 - 2 >= 0 /\ ar_3 + ar_5 - 3 >= 0 /\ ar_0 + ar_5 - 5 >= 0 /\ ar_4 >= 0 /\ ar_3 + ar_4 - 1 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 4 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_0 - 3 >= 0 /\ 0 < ar_0 /\ 0 <= ar_4 /\ 2 <= ar_5 /\ 1 <= ar_3 /\ ar_1 = 0 ]
(Comp: ?, Cost: 4) main_NE_1319(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(main_Load_1265(ar_0, ar_2 - 1, ar_1 - 1, ar_3, ar_4, ar_5)) [ ar_0 - ar_5 - 1 >= 0 /\ ar_5 - 2 >= 0 /\ ar_4 + ar_5 - 2 >= 0 /\ ar_3 + ar_5 - 3 >= 0 /\ ar_1 + ar_5 - 2 >= 0 /\ ar_0 + ar_5 - 5 >= 0 /\ ar_4 >= 0 /\ ar_3 + ar_4 - 1 >= 0 /\ ar_1 + ar_4 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 4 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ ar_0 - 3 >= 0 /\ ar_1 - 1 = i269' /\ 0 <= ar_4 /\ 0 < ar_1 /\ 0 < ar_0 /\ 1 <= ar_1 /\ 0 <= i269' /\ 1 <= ar_3 /\ 2 <= ar_5 /\ 0 <= ar_3 /\ ar_2 - 1 = i267' ]
(Comp: ?, Cost: 5) main_NE_1319(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(main_Load_1265(ar_0, ar_2, ar_3, ar_3, ar_4 + 1, ar_5)) [ ar_0 - ar_5 - 1 >= 0 /\ ar_5 - 2 >= 0 /\ ar_4 + ar_5 - 2 >= 0 /\ ar_3 + ar_5 - 3 >= 0 /\ ar_1 + ar_5 - 2 >= 0 /\ ar_0 + ar_5 - 5 >= 0 /\ ar_4 >= 0 /\ ar_3 + ar_4 - 1 >= 0 /\ ar_1 + ar_4 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 4 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ ar_0 - 3 >= 0 /\ ar_4 + 1 = i268' /\ 0 < ar_0 /\ 1 <= ar_3 /\ 2 <= ar_5 /\ 0 <= i268' /\ 0 <= ar_4 /\ 1 <= i268' /\ 0 <= ar_3 /\ ar_1 = 0 ]
start location: koat_start
leaf cost: 0

Testing for reachability in the complexity graph removes the following transition from problem 5:
main_Load_2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(main_Load_1265(ar_0, i7', i20', i20', 0, i5')) [ static'4 <= static'3 + 1 /\ 0 < ar_0 /\ i20' <= o25' /\ o25' < ar_0 /\ -1 <= i7' /\ 0 <= i5' /\ 2 <= i5' /\ 0 <= i20' /\ 1 <= static'4 /\ 0 < o25' /\ -static'4 <= 1 /\ 0 <= static'3 /\ 0 <= ar_1 /\ 0 <= static''' /\ static''' <= ar_1 + 2 /\ 0 <= static'1 /\ static'1 <= static''' + 1 /\ ar_0 <= static'3 /\ 0 <= static'2 /\ -static'3 <= 0 /\ i7' <= o8' /\ i5' < ar_0 /\ o8' < ar_0 /\ 0 <= static'4 /\ ar_0 <= static'4 /\ 0 < o8' /\ static'2 <= static'1 /\ static'3 <= static'2 + ar_0 /\ static'5 <= static'4 + 2 /\ 1 <= i5' /\ 0 <= i7' ]
We thus obtain the following problem:
6: T:
(Comp: ?, Cost: 5) main_NE_1319(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(main_Load_1265(ar_0, ar_2, ar_3, ar_3, ar_4 + 1, ar_5)) [ ar_0 - ar_5 - 1 >= 0 /\ ar_5 - 2 >= 0 /\ ar_4 + ar_5 - 2 >= 0 /\ ar_3 + ar_5 - 3 >= 0 /\ ar_1 + ar_5 - 2 >= 0 /\ ar_0 + ar_5 - 5 >= 0 /\ ar_4 >= 0 /\ ar_3 + ar_4 - 1 >= 0 /\ ar_1 + ar_4 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 4 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ ar_0 - 3 >= 0 /\ ar_4 + 1 = i268' /\ 0 < ar_0 /\ 1 <= ar_3 /\ 2 <= ar_5 /\ 0 <= i268' /\ 0 <= ar_4 /\ 1 <= i268' /\ 0 <= ar_3 /\ ar_1 = 0 ]
(Comp: ?, Cost: 4) main_NE_1319(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(main_Load_1265(ar_0, ar_2 - 1, ar_1 - 1, ar_3, ar_4, ar_5)) [ ar_0 - ar_5 - 1 >= 0 /\ ar_5 - 2 >= 0 /\ ar_4 + ar_5 - 2 >= 0 /\ ar_3 + ar_5 - 3 >= 0 /\ ar_1 + ar_5 - 2 >= 0 /\ ar_0 + ar_5 - 5 >= 0 /\ ar_4 >= 0 /\ ar_3 + ar_4 - 1 >= 0 /\ ar_1 + ar_4 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 4 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ ar_0 - 3 >= 0 /\ ar_1 - 1 = i269' /\ 0 <= ar_4 /\ 0 < ar_1 /\ 0 < ar_0 /\ 1 <= ar_1 /\ 0 <= i269' /\ 1 <= ar_3 /\ 2 <= ar_5 /\ 0 <= ar_3 /\ ar_2 - 1 = i267' ]
(Comp: ?, Cost: 2) main_EQ_1274(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(main_NE_1319(ar_0, 0, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - ar_5 - 1 >= 0 /\ ar_5 - 2 >= 0 /\ ar_4 + ar_5 - 2 >= 0 /\ ar_3 + ar_5 - 3 >= 0 /\ ar_0 + ar_5 - 5 >= 0 /\ ar_4 >= 0 /\ ar_3 + ar_4 - 1 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 4 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_0 - 3 >= 0 /\ 0 < ar_0 /\ 0 <= ar_4 /\ 2 <= ar_5 /\ 1 <= ar_3 /\ ar_1 = 0 ]
(Comp: ?, Cost: 6) main_EQ_1274(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(main_NE_1319(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - ar_5 - 1 >= 0 /\ ar_5 - 2 >= 0 /\ ar_4 + ar_5 - 2 >= 0 /\ ar_3 + ar_5 - 3 >= 0 /\ ar_0 + ar_5 - 5 >= 0 /\ ar_4 >= 0 /\ ar_3 + ar_4 - 1 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 4 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_0 - 3 >= 0 /\ 1 <= ar_3 /\ 0 < ar_0 /\ 1 <= ar_2 /\ 0 <= ar_4 /\ 1 <= ar_1 /\ 0 < ar_2 /\ 2 <= ar_5 /\ 0 < ar_1 ]
(Comp: ?, Cost: 3) main_Load_1265(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(main_EQ_1274(ar_0, ar_2, ar_1, ar_3, ar_4, ar_5)) [ ar_0 - ar_5 - 1 >= 0 /\ ar_5 - 2 >= 0 /\ ar_4 + ar_5 - 2 >= 0 /\ ar_3 + ar_5 - 2 >= 0 /\ ar_0 + ar_5 - 5 >= 0 /\ ar_4 >= 0 /\ ar_3 + ar_4 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_0 + ar_3 - 3 >= 0 /\ ar_0 - ar_1 - 1 >= 0 /\ ar_0 - 3 >= 0 /\ 0 < ar_3 /\ 0 < ar_0 /\ 0 <= ar_4 /\ 2 <= ar_5 /\ 1 <= ar_3 ]
(Comp: 1, Cost: 50) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(main_Load_1265(ar_0, i7', i20', i20', 0, i5')) [ 0 <= 0 /\ static'4 <= static'3 + 1 /\ 0 < ar_0 /\ i20' <= o25' /\ o25' < ar_0 /\ -1 <= i7' /\ 0 <= i5' /\ 2 <= i5' /\ 0 <= i20' /\ 1 <= static'4 /\ 0 < o25' /\ -static'4 <= 1 /\ 0 <= static'3 /\ 0 <= ar_1 /\ 0 <= static''' /\ static''' <= ar_1 + 2 /\ 0 <= static'1 /\ static'1 <= static''' + 1 /\ ar_0 <= static'3 /\ 0 <= static'2 /\ -static'3 <= 0 /\ i7' <= o8' /\ i5' < ar_0 /\ o8' < ar_0 /\ 0 <= static'4 /\ ar_0 <= static'4 /\ 0 < o8' /\ static'2 <= static'1 /\ static'3 <= static'2 + ar_0 /\ static'5 <= static'4 + 2 /\ 1 <= i5' /\ 0 <= i7' ]
start location: koat_start
leaf cost: 0

By chaining the transition main_NE_1319(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(main_Load_1265(ar_0, ar_2, ar_3, ar_3, ar_4 + 1, ar_5)) [ ar_0 - ar_5 - 1 >= 0 /\ ar_5 - 2 >= 0 /\ ar_4 + ar_5 - 2 >= 0 /\ ar_3 + ar_5 - 3 >= 0 /\ ar_1 + ar_5 - 2 >= 0 /\ ar_0 + ar_5 - 5 >= 0 /\ ar_4 >= 0 /\ ar_3 + ar_4 - 1 >= 0 /\ ar_1 + ar_4 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 4 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ ar_0 - 3 >= 0 /\ ar_4 + 1 = i268' /\ 0 < ar_0 /\ 1 <= ar_3 /\ 2 <= ar_5 /\ 0 <= i268' /\ 0 <= ar_4 /\ 1 <= i268' /\ 0 <= ar_3 /\ ar_1 = 0 ] with all transitions in problem 6, the following new transition is obtained:
main_NE_1319(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(main_EQ_1274(ar_0, ar_3, ar_2, ar_3, ar_4 + 1, ar_5)) [ ar_0 - ar_5 - 1 >= 0 /\ ar_5 - 2 >= 0 /\ ar_4 + ar_5 - 2 >= 0 /\ ar_3 + ar_5 - 3 >= 0 /\ ar_1 + ar_5 - 2 >= 0 /\ ar_0 + ar_5 - 5 >= 0 /\ ar_4 >= 0 /\ ar_3 + ar_4 - 1 >= 0 /\ ar_1 + ar_4 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 4 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ ar_0 - 3 >= 0 /\ ar_4 + 1 = i268' /\ 0 < ar_0 /\ 1 <= ar_3 /\ 2 <= ar_5 /\ 0 <= i268' /\ 0 <= ar_4 /\ 1 <= i268' /\ 0 <= ar_3 /\ ar_1 = 0 /\ ar_4 + ar_5 - 1 >= 0 /\ ar_3 + ar_5 - 2 >= 0 /\ ar_4 + 1 >= 0 /\ ar_3 + ar_4 + 1 >= 0 /\ ar_0 + ar_4 - 2 >= 0 /\ ar_3 >= 0 /\ ar_0 + ar_3 - 3 >= 0 /\ 0 < ar_3 /\ 0 <= ar_4 + 1 ]
We thus obtain the following problem:
7: T:
(Comp: ?, Cost: 8) main_NE_1319(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(main_EQ_1274(ar_0, ar_3, ar_2, ar_3, ar_4 + 1, ar_5)) [ ar_0 - ar_5 - 1 >= 0 /\ ar_5 - 2 >= 0 /\ ar_4 + ar_5 - 2 >= 0 /\ ar_3 + ar_5 - 3 >= 0 /\ ar_1 + ar_5 - 2 >= 0 /\ ar_0 + ar_5 - 5 >= 0 /\ ar_4 >= 0 /\ ar_3 + ar_4 - 1 >= 0 /\ ar_1 + ar_4 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 4 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ ar_0 - 3 >= 0 /\ ar_4 + 1 = i268' /\ 0 < ar_0 /\ 1 <= ar_3 /\ 2 <= ar_5 /\ 0 <= i268' /\ 0 <= ar_4 /\ 1 <= i268' /\ 0 <= ar_3 /\ ar_1 = 0 /\ ar_4 + ar_5 - 1 >= 0 /\ ar_3 + ar_5 - 2 >= 0 /\ ar_4 + 1 >= 0 /\ ar_3 + ar_4 + 1 >= 0 /\ ar_0 + ar_4 - 2 >= 0 /\ ar_3 >= 0 /\ ar_0 + ar_3 - 3 >= 0 /\ 0 < ar_3 /\ 0 <= ar_4 + 1 ]
(Comp: ?, Cost: 4) main_NE_1319(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(main_Load_1265(ar_0, ar_2 - 1, ar_1 - 1, ar_3, ar_4, ar_5)) [ ar_0 - ar_5 - 1 >= 0 /\ ar_5 - 2 >= 0 /\ ar_4 + ar_5 - 2 >= 0 /\ ar_3 + ar_5 - 3 >= 0 /\ ar_1 + ar_5 - 2 >= 0 /\ ar_0 + ar_5 - 5 >= 0 /\ ar_4 >= 0 /\ ar_3 + ar_4 - 1 >= 0 /\ ar_1 + ar_4 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 4 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ ar_0 - 3 >= 0 /\ ar_1 - 1 = i269' /\ 0 <= ar_4 /\ 0 < ar_1 /\ 0 < ar_0 /\ 1 <= ar_1 /\ 0 <= i269' /\ 1 <= ar_3 /\ 2 <= ar_5 /\ 0 <= ar_3 /\ ar_2 - 1 = i267' ]
(Comp: ?, Cost: 2) main_EQ_1274(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(main_NE_1319(ar_0, 0, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - ar_5 - 1 >= 0 /\ ar_5 - 2 >= 0 /\ ar_4 + ar_5 - 2 >= 0 /\ ar_3 + ar_5 - 3 >= 0 /\ ar_0 + ar_5 - 5 >= 0 /\ ar_4 >= 0 /\ ar_3 + ar_4 - 1 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 4 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_0 - 3 >= 0 /\ 0 < ar_0 /\ 0 <= ar_4 /\ 2 <= ar_5 /\ 1 <= ar_3 /\ ar_1 = 0 ]
(Comp: ?, Cost: 6) main_EQ_1274(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(main_NE_1319(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - ar_5 - 1 >= 0 /\ ar_5 - 2 >= 0 /\ ar_4 + ar_5 - 2 >= 0 /\ ar_3 + ar_5 - 3 >= 0 /\ ar_0 + ar_5 - 5 >= 0 /\ ar_4 >= 0 /\ ar_3 + ar_4 - 1 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 4 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_0 - 3 >= 0 /\ 1 <= ar_3 /\ 0 < ar_0 /\ 1 <= ar_2 /\ 0 <= ar_4 /\ 1 <= ar_1 /\ 0 < ar_2 /\ 2 <= ar_5 /\ 0 < ar_1 ]
(Comp: ?, Cost: 3) main_Load_1265(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(main_EQ_1274(ar_0, ar_2, ar_1, ar_3, ar_4, ar_5)) [ ar_0 - ar_5 - 1 >= 0 /\ ar_5 - 2 >= 0 /\ ar_4 + ar_5 - 2 >= 0 /\ ar_3 + ar_5 - 2 >= 0 /\ ar_0 + ar_5 - 5 >= 0 /\ ar_4 >= 0 /\ ar_3 + ar_4 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_0 + ar_3 - 3 >= 0 /\ ar_0 - ar_1 - 1 >= 0 /\ ar_0 - 3 >= 0 /\ 0 < ar_3 /\ 0 < ar_0 /\ 0 <= ar_4 /\ 2 <= ar_5 /\ 1 <= ar_3 ]
(Comp: 1, Cost: 50) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(main_Load_1265(ar_0, i7', i20', i20', 0, i5')) [ 0 <= 0 /\ static'4 <= static'3 + 1 /\ 0 < ar_0 /\ i20' <= o25' /\ o25' < ar_0 /\ -1 <= i7' /\ 0 <= i5' /\ 2 <= i5' /\ 0 <= i20' /\ 1 <= static'4 /\ 0 < o25' /\ -static'4 <= 1 /\ 0 <= static'3 /\ 0 <= ar_1 /\ 0 <= static''' /\ static''' <= ar_1 + 2 /\ 0 <= static'1 /\ static'1 <= static''' + 1 /\ ar_0 <= static'3 /\ 0 <= static'2 /\ -static'3 <= 0 /\ i7' <= o8' /\ i5' < ar_0 /\ o8' < ar_0 /\ 0 <= static'4 /\ ar_0 <= static'4 /\ 0 < o8' /\ static'2 <= static'1 /\ static'3 <= static'2 + ar_0 /\ static'5 <= static'4 + 2 /\ 1 <= i5' /\ 0 <= i7' ]
start location: koat_start
leaf cost: 0

By chaining the transition main_NE_1319(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(main_EQ_1274(ar_0, ar_3, ar_2, ar_3, ar_4 + 1, ar_5)) [ ar_0 - ar_5 - 1 >= 0 /\ ar_5 - 2 >= 0 /\ ar_4 + ar_5 - 2 >= 0 /\ ar_3 + ar_5 - 3 >= 0 /\ ar_1 + ar_5 - 2 >= 0 /\ ar_0 + ar_5 - 5 >= 0 /\ ar_4 >= 0 /\ ar_3 + ar_4 - 1 >= 0 /\ ar_1 + ar_4 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 4 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ ar_0 - 3 >= 0 /\ ar_4 + 1 = i268' /\ 0 < ar_0 /\ 1 <= ar_3 /\ 2 <= ar_5 /\ 0 <= i268' /\ 0 <= ar_4 /\ 1 <= i268' /\ 0 <= ar_3 /\ ar_1 = 0 /\ ar_4 + ar_5 - 1 >= 0 /\ ar_3 + ar_5 - 2 >= 0 /\ ar_4 + 1 >= 0 /\ ar_3 + ar_4 + 1 >= 0 /\ ar_0 + ar_4 - 2 >= 0 /\ ar_3 >= 0 /\ ar_0 + ar_3 - 3 >= 0 /\ 0 < ar_3 /\ 0 <= ar_4 + 1 ] with all transitions in problem 7, the following new transition is obtained:
main_NE_1319(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(main_NE_1319(ar_0, ar_3, ar_2, ar_3, ar_4 + 1, ar_5)) [ ar_0 - ar_5 - 1 >= 0 /\ ar_5 - 2 >= 0 /\ ar_4 + ar_5 - 2 >= 0 /\ ar_3 + ar_5 - 3 >= 0 /\ ar_1 + ar_5 - 2 >= 0 /\ ar_0 + ar_5 - 5 >= 0 /\ ar_4 >= 0 /\ ar_3 + ar_4 - 1 >= 0 /\ ar_1 + ar_4 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 4 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ ar_0 - 3 >= 0 /\ ar_4 + 1 = i268' /\ 0 < ar_0 /\ 1 <= ar_3 /\ 2 <= ar_5 /\ 0 <= i268' /\ 0 <= ar_4 /\ 1 <= i268' /\ 0 <= ar_3 /\ ar_1 = 0 /\ ar_4 + ar_5 - 1 >= 0 /\ ar_3 + ar_5 - 2 >= 0 /\ ar_4 + 1 >= 0 /\ ar_3 + ar_4 + 1 >= 0 /\ ar_0 + ar_4 - 2 >= 0 /\ ar_3 >= 0 /\ ar_0 + ar_3 - 3 >= 0 /\ 0 < ar_3 /\ 0 <= ar_4 + 1 /\ ar_3 + ar_4 >= 0 /\ 1 <= ar_2 /\ 0 < ar_2 ]
We thus obtain the following problem:
8: T:
(Comp: ?, Cost: 14) main_NE_1319(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(main_NE_1319(ar_0, ar_3, ar_2, ar_3, ar_4 + 1, ar_5)) [ ar_0 - ar_5 - 1 >= 0 /\ ar_5 - 2 >= 0 /\ ar_4 + ar_5 - 2 >= 0 /\ ar_3 + ar_5 - 3 >= 0 /\ ar_1 + ar_5 - 2 >= 0 /\ ar_0 + ar_5 - 5 >= 0 /\ ar_4 >= 0 /\ ar_3 + ar_4 - 1 >= 0 /\ ar_1 + ar_4 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 4 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ ar_0 - 3 >= 0 /\ ar_4 + 1 = i268' /\ 0 < ar_0 /\ 1 <= ar_3 /\ 2 <= ar_5 /\ 0 <= i268' /\ 0 <= ar_4 /\ 1 <= i268' /\ 0 <= ar_3 /\ ar_1 = 0 /\ ar_4 + ar_5 - 1 >= 0 /\ ar_3 + ar_5 - 2 >= 0 /\ ar_4 + 1 >= 0 /\ ar_3 + ar_4 + 1 >= 0 /\ ar_0 + ar_4 - 2 >= 0 /\ ar_3 >= 0 /\ ar_0 + ar_3 - 3 >= 0 /\ 0 < ar_3 /\ 0 <= ar_4 + 1 /\ ar_3 + ar_4 >= 0 /\ 1 <= ar_2 /\ 0 < ar_2 ]
(Comp: ?, Cost: 4) main_NE_1319(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(main_Load_1265(ar_0, ar_2 - 1, ar_1 - 1, ar_3, ar_4, ar_5)) [ ar_0 - ar_5 - 1 >= 0 /\ ar_5 - 2 >= 0 /\ ar_4 + ar_5 - 2 >= 0 /\ ar_3 + ar_5 - 3 >= 0 /\ ar_1 + ar_5 - 2 >= 0 /\ ar_0 + ar_5 - 5 >= 0 /\ ar_4 >= 0 /\ ar_3 + ar_4 - 1 >= 0 /\ ar_1 + ar_4 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 4 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ ar_0 - 3 >= 0 /\ ar_1 - 1 = i269' /\ 0 <= ar_4 /\ 0 < ar_1 /\ 0 < ar_0 /\ 1 <= ar_1 /\ 0 <= i269' /\ 1 <= ar_3 /\ 2 <= ar_5 /\ 0 <= ar_3 /\ ar_2 - 1 = i267' ]
(Comp: ?, Cost: 2) main_EQ_1274(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(main_NE_1319(ar_0, 0, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - ar_5 - 1 >= 0 /\ ar_5 - 2 >= 0 /\ ar_4 + ar_5 - 2 >= 0 /\ ar_3 + ar_5 - 3 >= 0 /\ ar_0 + ar_5 - 5 >= 0 /\ ar_4 >= 0 /\ ar_3 + ar_4 - 1 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 4 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_0 - 3 >= 0 /\ 0 < ar_0 /\ 0 <= ar_4 /\ 2 <= ar_5 /\ 1 <= ar_3 /\ ar_1 = 0 ]
(Comp: ?, Cost: 6) main_EQ_1274(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(main_NE_1319(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - ar_5 - 1 >= 0 /\ ar_5 - 2 >= 0 /\ ar_4 + ar_5 - 2 >= 0 /\ ar_3 + ar_5 - 3 >= 0 /\ ar_0 + ar_5 - 5 >= 0 /\ ar_4 >= 0 /\ ar_3 + ar_4 - 1 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 4 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_0 - 3 >= 0 /\ 1 <= ar_3 /\ 0 < ar_0 /\ 1 <= ar_2 /\ 0 <= ar_4 /\ 1 <= ar_1 /\ 0 < ar_2 /\ 2 <= ar_5 /\ 0 < ar_1 ]
(Comp: ?, Cost: 3) main_Load_1265(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(main_EQ_1274(ar_0, ar_2, ar_1, ar_3, ar_4, ar_5)) [ ar_0 - ar_5 - 1 >= 0 /\ ar_5 - 2 >= 0 /\ ar_4 + ar_5 - 2 >= 0 /\ ar_3 + ar_5 - 2 >= 0 /\ ar_0 + ar_5 - 5 >= 0 /\ ar_4 >= 0 /\ ar_3 + ar_4 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_0 + ar_3 - 3 >= 0 /\ ar_0 - ar_1 - 1 >= 0 /\ ar_0 - 3 >= 0 /\ 0 < ar_3 /\ 0 < ar_0 /\ 0 <= ar_4 /\ 2 <= ar_5 /\ 1 <= ar_3 ]
(Comp: 1, Cost: 50) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(main_Load_1265(ar_0, i7', i20', i20', 0, i5')) [ 0 <= 0 /\ static'4 <= static'3 + 1 /\ 0 < ar_0 /\ i20' <= o25' /\ o25' < ar_0 /\ -1 <= i7' /\ 0 <= i5' /\ 2 <= i5' /\ 0 <= i20' /\ 1 <= static'4 /\ 0 < o25' /\ -static'4 <= 1 /\ 0 <= static'3 /\ 0 <= ar_1 /\ 0 <= static''' /\ static''' <= ar_1 + 2 /\ 0 <= static'1 /\ static'1 <= static''' + 1 /\ ar_0 <= static'3 /\ 0 <= static'2 /\ -static'3 <= 0 /\ i7' <= o8' /\ i5' < ar_0 /\ o8' < ar_0 /\ 0 <= static'4 /\ ar_0 <= static'4 /\ 0 < o8' /\ static'2 <= static'1 /\ static'3 <= static'2 + ar_0 /\ static'5 <= static'4 + 2 /\ 1 <= i5' /\ 0 <= i7' ]
start location: koat_start
leaf cost: 0

A polynomial rank function with
Pol(main_NE_1319) = -V_2 + 2*V_3 - 1
Pol(main_Load_1265) = 2*V_2 - V_3
Pol(main_EQ_1274) = -V_2 + 2*V_3
Pol(koat_start) = 2*V_1 - 2
orients all transitions weakly and the transition
main_NE_1319(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(main_NE_1319(ar_0, ar_3, ar_2, ar_3, ar_4 + 1, ar_5)) [ ar_0 - ar_5 - 1 >= 0 /\ ar_5 - 2 >= 0 /\ ar_4 + ar_5 - 2 >= 0 /\ ar_3 + ar_5 - 3 >= 0 /\ ar_1 + ar_5 - 2 >= 0 /\ ar_0 + ar_5 - 5 >= 0 /\ ar_4 >= 0 /\ ar_3 + ar_4 - 1 >= 0 /\ ar_1 + ar_4 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 4 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ ar_0 - 3 >= 0 /\ ar_4 + 1 = i268' /\ 0 < ar_0 /\ 1 <= ar_3 /\ 2 <= ar_5 /\ 0 <= i268' /\ 0 <= ar_4 /\ 1 <= i268' /\ 0 <= ar_3 /\ ar_1 = 0 /\ ar_4 + ar_5 - 1 >= 0 /\ ar_3 + ar_5 - 2 >= 0 /\ ar_4 + 1 >= 0 /\ ar_3 + ar_4 + 1 >= 0 /\ ar_0 + ar_4 - 2 >= 0 /\ ar_3 >= 0 /\ ar_0 + ar_3 - 3 >= 0 /\ 0 < ar_3 /\ 0 <= ar_4 + 1 /\ ar_3 + ar_4 >= 0 /\ 1 <= ar_2 /\ 0 < ar_2 ]
strictly and produces the following problem:
9: T:
(Comp: 2*ar_0 + 2, Cost: 14) main_NE_1319(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(main_NE_1319(ar_0, ar_3, ar_2, ar_3, ar_4 + 1, ar_5)) [ ar_0 - ar_5 - 1 >= 0 /\ ar_5 - 2 >= 0 /\ ar_4 + ar_5 - 2 >= 0 /\ ar_3 + ar_5 - 3 >= 0 /\ ar_1 + ar_5 - 2 >= 0 /\ ar_0 + ar_5 - 5 >= 0 /\ ar_4 >= 0 /\ ar_3 + ar_4 - 1 >= 0 /\ ar_1 + ar_4 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 4 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ ar_0 - 3 >= 0 /\ ar_4 + 1 = i268' /\ 0 < ar_0 /\ 1 <= ar_3 /\ 2 <= ar_5 /\ 0 <= i268' /\ 0 <= ar_4 /\ 1 <= i268' /\ 0 <= ar_3 /\ ar_1 = 0 /\ ar_4 + ar_5 - 1 >= 0 /\ ar_3 + ar_5 - 2 >= 0 /\ ar_4 + 1 >= 0 /\ ar_3 + ar_4 + 1 >= 0 /\ ar_0 + ar_4 - 2 >= 0 /\ ar_3 >= 0 /\ ar_0 + ar_3 - 3 >= 0 /\ 0 < ar_3 /\ 0 <= ar_4 + 1 /\ ar_3 + ar_4 >= 0 /\ 1 <= ar_2 /\ 0 < ar_2 ]
(Comp: ?, Cost: 4) main_NE_1319(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(main_Load_1265(ar_0, ar_2 - 1, ar_1 - 1, ar_3, ar_4, ar_5)) [ ar_0 - ar_5 - 1 >= 0 /\ ar_5 - 2 >= 0 /\ ar_4 + ar_5 - 2 >= 0 /\ ar_3 + ar_5 - 3 >= 0 /\ ar_1 + ar_5 - 2 >= 0 /\ ar_0 + ar_5 - 5 >= 0 /\ ar_4 >= 0 /\ ar_3 + ar_4 - 1 >= 0 /\ ar_1 + ar_4 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 4 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ ar_0 - 3 >= 0 /\ ar_1 - 1 = i269' /\ 0 <= ar_4 /\ 0 < ar_1 /\ 0 < ar_0 /\ 1 <= ar_1 /\ 0 <= i269' /\ 1 <= ar_3 /\ 2 <= ar_5 /\ 0 <= ar_3 /\ ar_2 - 1 = i267' ]
(Comp: ?, Cost: 2) main_EQ_1274(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(main_NE_1319(ar_0, 0, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - ar_5 - 1 >= 0 /\ ar_5 - 2 >= 0 /\ ar_4 + ar_5 - 2 >= 0 /\ ar_3 + ar_5 - 3 >= 0 /\ ar_0 + ar_5 - 5 >= 0 /\ ar_4 >= 0 /\ ar_3 + ar_4 - 1 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 4 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_0 - 3 >= 0 /\ 0 < ar_0 /\ 0 <= ar_4 /\ 2 <= ar_5 /\ 1 <= ar_3 /\ ar_1 = 0 ]
(Comp: ?, Cost: 6) main_EQ_1274(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(main_NE_1319(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - ar_5 - 1 >= 0 /\ ar_5 - 2 >= 0 /\ ar_4 + ar_5 - 2 >= 0 /\ ar_3 + ar_5 - 3 >= 0 /\ ar_0 + ar_5 - 5 >= 0 /\ ar_4 >= 0 /\ ar_3 + ar_4 - 1 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 4 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_0 - 3 >= 0 /\ 1 <= ar_3 /\ 0 < ar_0 /\ 1 <= ar_2 /\ 0 <= ar_4 /\ 1 <= ar_1 /\ 0 < ar_2 /\ 2 <= ar_5 /\ 0 < ar_1 ]
(Comp: ?, Cost: 3) main_Load_1265(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(main_EQ_1274(ar_0, ar_2, ar_1, ar_3, ar_4, ar_5)) [ ar_0 - ar_5 - 1 >= 0 /\ ar_5 - 2 >= 0 /\ ar_4 + ar_5 - 2 >= 0 /\ ar_3 + ar_5 - 2 >= 0 /\ ar_0 + ar_5 - 5 >= 0 /\ ar_4 >= 0 /\ ar_3 + ar_4 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_0 + ar_3 - 3 >= 0 /\ ar_0 - ar_1 - 1 >= 0 /\ ar_0 - 3 >= 0 /\ 0 < ar_3 /\ 0 < ar_0 /\ 0 <= ar_4 /\ 2 <= ar_5 /\ 1 <= ar_3 ]
(Comp: 1, Cost: 50) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(main_Load_1265(ar_0, i7', i20', i20', 0, i5')) [ 0 <= 0 /\ static'4 <= static'3 + 1 /\ 0 < ar_0 /\ i20' <= o25' /\ o25' < ar_0 /\ -1 <= i7' /\ 0 <= i5' /\ 2 <= i5' /\ 0 <= i20' /\ 1 <= static'4 /\ 0 < o25' /\ -static'4 <= 1 /\ 0 <= static'3 /\ 0 <= ar_1 /\ 0 <= static''' /\ static''' <= ar_1 + 2 /\ 0 <= static'1 /\ static'1 <= static''' + 1 /\ ar_0 <= static'3 /\ 0 <= static'2 /\ -static'3 <= 0 /\ i7' <= o8' /\ i5' < ar_0 /\ o8' < ar_0 /\ 0 <= static'4 /\ ar_0 <= static'4 /\ 0 < o8' /\ static'2 <= static'1 /\ static'3 <= static'2 + ar_0 /\ static'5 <= static'4 + 2 /\ 1 <= i5' /\ 0 <= i7' ]
start location: koat_start
leaf cost: 0

A polynomial rank function with
Pol(main_NE_1319) = V_3 - 1
Pol(main_Load_1265) = V_2
Pol(main_EQ_1274) = V_3
Pol(koat_start) = V_1
orients all transitions weakly and the transition
main_EQ_1274(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(main_NE_1319(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - ar_5 - 1 >= 0 /\ ar_5 - 2 >= 0 /\ ar_4 + ar_5 - 2 >= 0 /\ ar_3 + ar_5 - 3 >= 0 /\ ar_0 + ar_5 - 5 >= 0 /\ ar_4 >= 0 /\ ar_3 + ar_4 - 1 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 4 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_0 - 3 >= 0 /\ 1 <= ar_3 /\ 0 < ar_0 /\ 1 <= ar_2 /\ 0 <= ar_4 /\ 1 <= ar_1 /\ 0 < ar_2 /\ 2 <= ar_5 /\ 0 < ar_1 ]
strictly and produces the following problem:
10: T:
(Comp: 2*ar_0 + 2, Cost: 14) main_NE_1319(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(main_NE_1319(ar_0, ar_3, ar_2, ar_3, ar_4 + 1, ar_5)) [ ar_0 - ar_5 - 1 >= 0 /\ ar_5 - 2 >= 0 /\ ar_4 + ar_5 - 2 >= 0 /\ ar_3 + ar_5 - 3 >= 0 /\ ar_1 + ar_5 - 2 >= 0 /\ ar_0 + ar_5 - 5 >= 0 /\ ar_4 >= 0 /\ ar_3 + ar_4 - 1 >= 0 /\ ar_1 + ar_4 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 4 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ ar_0 - 3 >= 0 /\ ar_4 + 1 = i268' /\ 0 < ar_0 /\ 1 <= ar_3 /\ 2 <= ar_5 /\ 0 <= i268' /\ 0 <= ar_4 /\ 1 <= i268' /\ 0 <= ar_3 /\ ar_1 = 0 /\ ar_4 + ar_5 - 1 >= 0 /\ ar_3 + ar_5 - 2 >= 0 /\ ar_4 + 1 >= 0 /\ ar_3 + ar_4 + 1 >= 0 /\ ar_0 + ar_4 - 2 >= 0 /\ ar_3 >= 0 /\ ar_0 + ar_3 - 3 >= 0 /\ 0 < ar_3 /\ 0 <= ar_4 + 1 /\ ar_3 + ar_4 >= 0 /\ 1 <= ar_2 /\ 0 < ar_2 ]
(Comp: ?, Cost: 4) main_NE_1319(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(main_Load_1265(ar_0, ar_2 - 1, ar_1 - 1, ar_3, ar_4, ar_5)) [ ar_0 - ar_5 - 1 >= 0 /\ ar_5 - 2 >= 0 /\ ar_4 + ar_5 - 2 >= 0 /\ ar_3 + ar_5 - 3 >= 0 /\ ar_1 + ar_5 - 2 >= 0 /\ ar_0 + ar_5 - 5 >= 0 /\ ar_4 >= 0 /\ ar_3 + ar_4 - 1 >= 0 /\ ar_1 + ar_4 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 4 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ ar_0 - 3 >= 0 /\ ar_1 - 1 = i269' /\ 0 <= ar_4 /\ 0 < ar_1 /\ 0 < ar_0 /\ 1 <= ar_1 /\ 0 <= i269' /\ 1 <= ar_3 /\ 2 <= ar_5 /\ 0 <= ar_3 /\ ar_2 - 1 = i267' ]
(Comp: ?, Cost: 2) main_EQ_1274(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(main_NE_1319(ar_0, 0, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - ar_5 - 1 >= 0 /\ ar_5 - 2 >= 0 /\ ar_4 + ar_5 - 2 >= 0 /\ ar_3 + ar_5 - 3 >= 0 /\ ar_0 + ar_5 - 5 >= 0 /\ ar_4 >= 0 /\ ar_3 + ar_4 - 1 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 4 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_0 - 3 >= 0 /\ 0 < ar_0 /\ 0 <= ar_4 /\ 2 <= ar_5 /\ 1 <= ar_3 /\ ar_1 = 0 ]
(Comp: ar_0, Cost: 6) main_EQ_1274(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(main_NE_1319(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - ar_5 - 1 >= 0 /\ ar_5 - 2 >= 0 /\ ar_4 + ar_5 - 2 >= 0 /\ ar_3 + ar_5 - 3 >= 0 /\ ar_0 + ar_5 - 5 >= 0 /\ ar_4 >= 0 /\ ar_3 + ar_4 - 1 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 4 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_0 - 3 >= 0 /\ 1 <= ar_3 /\ 0 < ar_0 /\ 1 <= ar_2 /\ 0 <= ar_4 /\ 1 <= ar_1 /\ 0 < ar_2 /\ 2 <= ar_5 /\ 0 < ar_1 ]
(Comp: ?, Cost: 3) main_Load_1265(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(main_EQ_1274(ar_0, ar_2, ar_1, ar_3, ar_4, ar_5)) [ ar_0 - ar_5 - 1 >= 0 /\ ar_5 - 2 >= 0 /\ ar_4 + ar_5 - 2 >= 0 /\ ar_3 + ar_5 - 2 >= 0 /\ ar_0 + ar_5 - 5 >= 0 /\ ar_4 >= 0 /\ ar_3 + ar_4 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_0 + ar_3 - 3 >= 0 /\ ar_0 - ar_1 - 1 >= 0 /\ ar_0 - 3 >= 0 /\ 0 < ar_3 /\ 0 < ar_0 /\ 0 <= ar_4 /\ 2 <= ar_5 /\ 1 <= ar_3 ]
(Comp: 1, Cost: 50) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(main_Load_1265(ar_0, i7', i20', i20', 0, i5')) [ 0 <= 0 /\ static'4 <= static'3 + 1 /\ 0 < ar_0 /\ i20' <= o25' /\ o25' < ar_0 /\ -1 <= i7' /\ 0 <= i5' /\ 2 <= i5' /\ 0 <= i20' /\ 1 <= static'4 /\ 0 < o25' /\ -static'4 <= 1 /\ 0 <= static'3 /\ 0 <= ar_1 /\ 0 <= static''' /\ static''' <= ar_1 + 2 /\ 0 <= static'1 /\ static'1 <= static''' + 1 /\ ar_0 <= static'3 /\ 0 <= static'2 /\ -static'3 <= 0 /\ i7' <= o8' /\ i5' < ar_0 /\ o8' < ar_0 /\ 0 <= static'4 /\ ar_0 <= static'4 /\ 0 < o8' /\ static'2 <= static'1 /\ static'3 <= static'2 + ar_0 /\ static'5 <= static'4 + 2 /\ 1 <= i5' /\ 0 <= i7' ]
start location: koat_start
leaf cost: 0

Repeatedly propagating knowledge in problem 10 produces the following problem:
11: T:
(Comp: 2*ar_0 + 2, Cost: 14) main_NE_1319(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(main_NE_1319(ar_0, ar_3, ar_2, ar_3, ar_4 + 1, ar_5)) [ ar_0 - ar_5 - 1 >= 0 /\ ar_5 - 2 >= 0 /\ ar_4 + ar_5 - 2 >= 0 /\ ar_3 + ar_5 - 3 >= 0 /\ ar_1 + ar_5 - 2 >= 0 /\ ar_0 + ar_5 - 5 >= 0 /\ ar_4 >= 0 /\ ar_3 + ar_4 - 1 >= 0 /\ ar_1 + ar_4 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 4 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ ar_0 - 3 >= 0 /\ ar_4 + 1 = i268' /\ 0 < ar_0 /\ 1 <= ar_3 /\ 2 <= ar_5 /\ 0 <= i268' /\ 0 <= ar_4 /\ 1 <= i268' /\ 0 <= ar_3 /\ ar_1 = 0 /\ ar_4 + ar_5 - 1 >= 0 /\ ar_3 + ar_5 - 2 >= 0 /\ ar_4 + 1 >= 0 /\ ar_3 + ar_4 + 1 >= 0 /\ ar_0 + ar_4 - 2 >= 0 /\ ar_3 >= 0 /\ ar_0 + ar_3 - 3 >= 0 /\ 0 < ar_3 /\ 0 <= ar_4 + 1 /\ ar_3 + ar_4 >= 0 /\ 1 <= ar_2 /\ 0 < ar_2 ]
(Comp: 3*ar_0 + 2, Cost: 4) main_NE_1319(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(main_Load_1265(ar_0, ar_2 - 1, ar_1 - 1, ar_3, ar_4, ar_5)) [ ar_0 - ar_5 - 1 >= 0 /\ ar_5 - 2 >= 0 /\ ar_4 + ar_5 - 2 >= 0 /\ ar_3 + ar_5 - 3 >= 0 /\ ar_1 + ar_5 - 2 >= 0 /\ ar_0 + ar_5 - 5 >= 0 /\ ar_4 >= 0 /\ ar_3 + ar_4 - 1 >= 0 /\ ar_1 + ar_4 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 4 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ ar_0 - 3 >= 0 /\ ar_1 - 1 = i269' /\ 0 <= ar_4 /\ 0 < ar_1 /\ 0 < ar_0 /\ 1 <= ar_1 /\ 0 <= i269' /\ 1 <= ar_3 /\ 2 <= ar_5 /\ 0 <= ar_3 /\ ar_2 - 1 = i267' ]
(Comp: 3*ar_0 + 3, Cost: 2) main_EQ_1274(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(main_NE_1319(ar_0, 0, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - ar_5 - 1 >= 0 /\ ar_5 - 2 >= 0 /\ ar_4 + ar_5 - 2 >= 0 /\ ar_3 + ar_5 - 3 >= 0 /\ ar_0 + ar_5 - 5 >= 0 /\ ar_4 >= 0 /\ ar_3 + ar_4 - 1 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 4 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_0 - 3 >= 0 /\ 0 < ar_0 /\ 0 <= ar_4 /\ 2 <= ar_5 /\ 1 <= ar_3 /\ ar_1 = 0 ]
(Comp: ar_0, Cost: 6) main_EQ_1274(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(main_NE_1319(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - ar_5 - 1 >= 0 /\ ar_5 - 2 >= 0 /\ ar_4 + ar_5 - 2 >= 0 /\ ar_3 + ar_5 - 3 >= 0 /\ ar_0 + ar_5 - 5 >= 0 /\ ar_4 >= 0 /\ ar_3 + ar_4 - 1 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 4 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_0 - 3 >= 0 /\ 1 <= ar_3 /\ 0 < ar_0 /\ 1 <= ar_2 /\ 0 <= ar_4 /\ 1 <= ar_1 /\ 0 < ar_2 /\ 2 <= ar_5 /\ 0 < ar_1 ]
(Comp: 3*ar_0 + 3, Cost: 3) main_Load_1265(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(main_EQ_1274(ar_0, ar_2, ar_1, ar_3, ar_4, ar_5)) [ ar_0 - ar_5 - 1 >= 0 /\ ar_5 - 2 >= 0 /\ ar_4 + ar_5 - 2 >= 0 /\ ar_3 + ar_5 - 2 >= 0 /\ ar_0 + ar_5 - 5 >= 0 /\ ar_4 >= 0 /\ ar_3 + ar_4 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_0 + ar_3 - 3 >= 0 /\ ar_0 - ar_1 - 1 >= 0 /\ ar_0 - 3 >= 0 /\ 0 < ar_3 /\ 0 < ar_0 /\ 0 <= ar_4 /\ 2 <= ar_5 /\ 1 <= ar_3 ]
(Comp: 1, Cost: 50) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(main_Load_1265(ar_0, i7', i20', i20', 0, i5')) [ 0 <= 0 /\ static'4 <= static'3 + 1 /\ 0 < ar_0 /\ i20' <= o25' /\ o25' < ar_0 /\ -1 <= i7' /\ 0 <= i5' /\ 2 <= i5' /\ 0 <= i20' /\ 1 <= static'4 /\ 0 < o25' /\ -static'4 <= 1 /\ 0 <= static'3 /\ 0 <= ar_1 /\ 0 <= static''' /\ static''' <= ar_1 + 2 /\ 0 <= static'1 /\ static'1 <= static''' + 1 /\ ar_0 <= static'3 /\ 0 <= static'2 /\ -static'3 <= 0 /\ i7' <= o8' /\ i5' < ar_0 /\ o8' < ar_0 /\ 0 <= static'4 /\ ar_0 <= static'4 /\ 0 < o8' /\ static'2 <= static'1 /\ static'3 <= static'2 + ar_0 /\ static'5 <= static'4 + 2 /\ 1 <= i5' /\ 0 <= i7' ]
start location: koat_start
leaf cost: 0

Complexity upper bound 61*ar_0 + 101

Time: 1.457 sec (SMT: 1.089 sec)

(0) Obligation:

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

(2) Obligation:

(3) TerminationGraphToComplexityProof (BOTH CONCRETE BOUNDS(ID, ADD(94)) 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) RemoveDivModProof (CONCRETE UPPER BOUND(ID) transformation)

(14) Obligation:

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

(16) Obligation:

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

(18) Obligation:

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

(20) Obligation:

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

(22) Obligation:

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

(24) Obligation:

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

(26) Obligation:

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

(28) Obligation:

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

(30) Obligation:

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

(32) Obligation:

(33) TerminationGraphToComplexityProof (BOTH CONCRETE BOUNDS(ID, ADD(94)) transformation)

(34) Obligation:

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

(36) Obligation:

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

(38) Obligation:

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

(40) Obligation:

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

(42) Obligation:

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

(44) Obligation:

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

(46) Obligation:

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

(48) Obligation:

(49) koat Proof (EQUIVALENT transformation)

(50) BOUNDS(CONSTANT, 101 + 61 * |args|)